Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [225,2,Mod(16,225)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(225, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([20, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("225.16");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 225 = 3^{2} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 225.q (of order \(15\), 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: | \(1.79663404548\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{15})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 16.12 | ||
Character | \(\chi\) | \(=\) | 225.16 |
Dual form | 225.2.q.a.211.12 |
$q$-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 \(\left(\mathbb{Z}/225\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{1}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.808045 | + | 0.359765i | −0.571374 | + | 0.254392i | −0.672023 | − | 0.740530i | \(-0.734575\pi\) |
0.100649 | + | 0.994922i | \(0.467908\pi\) | |||||||
\(3\) | 0.558868 | + | 1.63941i | 0.322662 | + | 0.946514i | ||||
\(4\) | −0.814755 | + | 0.904878i | −0.407378 | + | 0.452439i | ||||
\(5\) | 1.09577 | + | 1.94918i | 0.490044 | + | 0.871698i | ||||
\(6\) | −1.04139 | − | 1.12366i | −0.425147 | − | 0.458731i | ||||
\(7\) | −0.458035 | + | 0.793340i | −0.173121 | + | 0.299854i | −0.939509 | − | 0.342523i | \(-0.888718\pi\) |
0.766388 | + | 0.642377i | \(0.222052\pi\) | |||||||
\(8\) | 0.879476 | − | 2.70675i | 0.310942 | − | 0.956981i | ||||
\(9\) | −2.37533 | + | 1.83243i | −0.791778 | + | 0.610809i | ||||
\(10\) | −1.58668 | − | 1.18080i | −0.501751 | − | 0.373402i | ||||
\(11\) | 1.33506 | − | 0.594408i | 0.402536 | − | 0.179221i | −0.195474 | − | 0.980709i | \(-0.562625\pi\) |
0.598011 | + | 0.801488i | \(0.295958\pi\) | |||||||
\(12\) | −1.93881 | − | 0.830012i | −0.559685 | − | 0.239604i | ||||
\(13\) | −1.67311 | − | 0.744918i | −0.464038 | − | 0.206603i | 0.161381 | − | 0.986892i | \(-0.448405\pi\) |
−0.625419 | + | 0.780289i | \(0.715072\pi\) | |||||||
\(14\) | 0.0846971 | − | 0.805839i | 0.0226362 | − | 0.215370i | ||||
\(15\) | −2.58311 | + | 2.88575i | −0.666955 | + | 0.745098i | ||||
\(16\) | 0.00858220 | + | 0.0816542i | 0.00214555 | + | 0.0204135i | ||||
\(17\) | 1.50326 | − | 4.62656i | 0.364594 | − | 1.12211i | −0.585641 | − | 0.810571i | \(-0.699157\pi\) |
0.950235 | − | 0.311535i | \(-0.100843\pi\) | |||||||
\(18\) | 1.26013 | − | 2.33524i | 0.297016 | − | 0.550422i | ||||
\(19\) | −2.04373 | + | 6.28996i | −0.468864 | + | 1.44301i | 0.385193 | + | 0.922836i | \(0.374135\pi\) |
−0.854057 | + | 0.520179i | \(0.825865\pi\) | |||||||
\(20\) | −2.65655 | − | 0.596562i | −0.594023 | − | 0.133395i | ||||
\(21\) | −1.55659 | − | 0.307535i | −0.339676 | − | 0.0671097i | ||||
\(22\) | −0.864943 | + | 0.960617i | −0.184406 | + | 0.204804i | ||||
\(23\) | −0.0683526 | + | 0.650331i | −0.0142525 | + | 0.135603i | −0.999334 | − | 0.0364836i | \(-0.988384\pi\) |
0.985082 | + | 0.172087i | \(0.0550510\pi\) | |||||||
\(24\) | 4.92898 | − | 0.0708924i | 1.00612 | − | 0.0144708i | ||||
\(25\) | −2.59857 | + | 4.27170i | −0.519714 | + | 0.854341i | ||||
\(26\) | 1.61995 | 0.317697 | ||||||||
\(27\) | −4.33160 | − | 2.87006i | −0.833616 | − | 0.552344i | ||||
\(28\) | −0.344689 | − | 1.06084i | −0.0651401 | − | 0.200481i | ||||
\(29\) | 6.29829 | + | 1.33874i | 1.16956 | + | 0.248598i | 0.751446 | − | 0.659795i | \(-0.229357\pi\) |
0.418117 | + | 0.908393i | \(0.362690\pi\) | |||||||
\(30\) | 1.04907 | − | 3.26113i | 0.191534 | − | 0.595398i | ||||
\(31\) | 2.87587 | − | 0.611285i | 0.516521 | − | 0.109790i | 0.0577267 | − | 0.998332i | \(-0.481615\pi\) |
0.458794 | + | 0.888542i | \(0.348281\pi\) | |||||||
\(32\) | 2.80973 | + | 4.86660i | 0.496695 | + | 0.860302i | ||||
\(33\) | 1.72060 | + | 1.85652i | 0.299518 | + | 0.323179i | ||||
\(34\) | 0.449771 | + | 4.27929i | 0.0771351 | + | 0.733892i | ||||
\(35\) | −2.04826 | − | 0.0234710i | −0.346219 | − | 0.00396732i | ||||
\(36\) | 0.277194 | − | 3.64237i | 0.0461990 | − | 0.607061i | ||||
\(37\) | −4.86137 | + | 3.53200i | −0.799205 | + | 0.580656i | −0.910681 | − | 0.413111i | \(-0.864442\pi\) |
0.111476 | + | 0.993767i | \(0.464442\pi\) | |||||||
\(38\) | −0.611478 | − | 5.81783i | −0.0991949 | − | 0.943776i | ||||
\(39\) | 0.286177 | − | 3.15923i | 0.0458250 | − | 0.505882i | ||||
\(40\) | 6.23963 | − | 1.25173i | 0.986573 | − | 0.197915i | ||||
\(41\) | 2.26096 | + | 1.00664i | 0.353103 | + | 0.157212i | 0.575620 | − | 0.817717i | \(-0.304761\pi\) |
−0.222517 | + | 0.974929i | \(0.571427\pi\) | |||||||
\(42\) | 1.36844 | − | 0.311504i | 0.211154 | − | 0.0480661i | ||||
\(43\) | 2.01308 | − | 3.48676i | 0.306992 | − | 0.531725i | −0.670711 | − | 0.741719i | \(-0.734011\pi\) |
0.977703 | + | 0.209993i | \(0.0673443\pi\) | |||||||
\(44\) | −0.549883 | + | 1.69237i | −0.0828980 | + | 0.255134i | ||||
\(45\) | −6.17455 | − | 2.62202i | −0.920447 | − | 0.390868i | ||||
\(46\) | −0.178734 | − | 0.550087i | −0.0263529 | − | 0.0811060i | ||||
\(47\) | 5.26308 | + | 1.11870i | 0.767699 | + | 0.163179i | 0.575083 | − | 0.818095i | \(-0.304970\pi\) |
0.192615 | + | 0.981274i | \(0.438303\pi\) | |||||||
\(48\) | −0.129068 | + | 0.0597036i | −0.0186294 | + | 0.00861748i | ||||
\(49\) | 3.08041 | + | 5.33542i | 0.440058 | + | 0.762203i | ||||
\(50\) | 0.562952 | − | 4.38660i | 0.0796134 | − | 0.620359i | ||||
\(51\) | 8.42495 | − | 0.121174i | 1.17973 | − | 0.0169678i | ||||
\(52\) | 2.03724 | − | 0.907036i | 0.282514 | − | 0.125783i | ||||
\(53\) | −3.46201 | − | 10.6550i | −0.475543 | − | 1.46357i | −0.845223 | − | 0.534413i | \(-0.820533\pi\) |
0.369680 | − | 0.929159i | \(-0.379467\pi\) | |||||||
\(54\) | 4.53267 | + | 0.760783i | 0.616819 | + | 0.103529i | ||||
\(55\) | 2.62153 | + | 1.95093i | 0.353487 | + | 0.263064i | ||||
\(56\) | 1.74454 | + | 1.93751i | 0.233124 | + | 0.258911i | ||||
\(57\) | −11.4540 | + | 0.164740i | −1.51712 | + | 0.0218203i | ||||
\(58\) | −5.57093 | + | 1.18414i | −0.731499 | + | 0.155485i | ||||
\(59\) | 1.82813 | + | 0.813937i | 0.238003 | + | 0.105966i | 0.522272 | − | 0.852779i | \(-0.325084\pi\) |
−0.284270 | + | 0.958744i | \(0.591751\pi\) | |||||||
\(60\) | −0.506651 | − | 4.68858i | −0.0654084 | − | 0.605293i | ||||
\(61\) | 11.5472 | − | 5.14113i | 1.47846 | − | 0.658254i | 0.500255 | − | 0.865878i | \(-0.333240\pi\) |
0.978209 | + | 0.207624i | \(0.0665730\pi\) | |||||||
\(62\) | −2.10391 | + | 1.52858i | −0.267197 | + | 0.194130i | ||||
\(63\) | −0.365752 | − | 2.72376i | −0.0460804 | − | 0.343162i | ||||
\(64\) | −4.15407 | − | 3.01811i | −0.519259 | − | 0.377264i | ||||
\(65\) | −0.381374 | − | 4.07745i | −0.0473037 | − | 0.505745i | ||||
\(66\) | −2.05823 | − | 0.881139i | −0.253351 | − | 0.108461i | ||||
\(67\) | 8.34092 | − | 1.77292i | 1.01901 | − | 0.216596i | 0.332024 | − | 0.943271i | \(-0.392269\pi\) |
0.686982 | + | 0.726675i | \(0.258935\pi\) | |||||||
\(68\) | 2.96168 | + | 5.12978i | 0.359156 | + | 0.622077i | ||||
\(69\) | −1.10436 | + | 0.251391i | −0.132949 | + | 0.0302639i | ||||
\(70\) | 1.66353 | − | 0.717926i | 0.198830 | − | 0.0858086i | ||||
\(71\) | 5.09668 | + | 15.6860i | 0.604865 | + | 1.86158i | 0.497717 | + | 0.867340i | \(0.334172\pi\) |
0.107148 | + | 0.994243i | \(0.465828\pi\) | |||||||
\(72\) | 2.87087 | + | 8.04101i | 0.338336 | + | 0.947642i | ||||
\(73\) | −2.01962 | − | 1.46734i | −0.236378 | − | 0.171739i | 0.463290 | − | 0.886207i | \(-0.346669\pi\) |
−0.699668 | + | 0.714468i | \(0.746669\pi\) | |||||||
\(74\) | 2.65752 | − | 4.60296i | 0.308931 | − | 0.535083i | ||||
\(75\) | −8.45533 | − | 1.87280i | −0.976337 | − | 0.216253i | ||||
\(76\) | −4.02650 | − | 6.97410i | −0.461871 | − | 0.799984i | ||||
\(77\) | −0.139938 | + | 1.33142i | −0.0159474 | + | 0.151729i | ||||
\(78\) | 0.905335 | + | 2.65576i | 0.102509 | + | 0.300705i | ||||
\(79\) | −6.05809 | − | 1.28769i | −0.681589 | − | 0.144876i | −0.145910 | − | 0.989298i | \(-0.546611\pi\) |
−0.535679 | + | 0.844422i | \(0.679944\pi\) | |||||||
\(80\) | −0.149754 | + | 0.106203i | −0.0167430 | + | 0.0118738i | ||||
\(81\) | 2.28442 | − | 8.70525i | 0.253825 | − | 0.967250i | ||||
\(82\) | −2.18911 | −0.241747 | ||||||||
\(83\) | 2.67975 | + | 2.97617i | 0.294141 | + | 0.326677i | 0.872043 | − | 0.489430i | \(-0.162795\pi\) |
−0.577902 | + | 0.816106i | \(0.696128\pi\) | |||||||
\(84\) | 1.54652 | − | 1.15796i | 0.168739 | − | 0.126344i | ||||
\(85\) | 10.6652 | − | 2.13954i | 1.15680 | − | 0.232065i | ||||
\(86\) | −0.372247 | + | 3.54169i | −0.0401404 | + | 0.381910i | ||||
\(87\) | 1.32516 | + | 11.0737i | 0.142072 | + | 1.18722i | ||||
\(88\) | −0.434758 | − | 4.13645i | −0.0463454 | − | 0.440947i | ||||
\(89\) | −11.4149 | − | 8.29340i | −1.20998 | − | 0.879098i | −0.214746 | − | 0.976670i | \(-0.568893\pi\) |
−0.995229 | + | 0.0975715i | \(0.968893\pi\) | |||||||
\(90\) | 5.93262 | − | 0.102674i | 0.625353 | − | 0.0108228i | ||||
\(91\) | 1.35732 | − | 0.986149i | 0.142285 | − | 0.103376i | ||||
\(92\) | −0.532779 | − | 0.591712i | −0.0555461 | − | 0.0616902i | ||||
\(93\) | 2.60938 | + | 4.37310i | 0.270580 | + | 0.453469i | ||||
\(94\) | −4.65527 | + | 0.989508i | −0.480155 | + | 0.102060i | ||||
\(95\) | −14.4997 | + | 2.90877i | −1.48764 | + | 0.298433i | ||||
\(96\) | −6.40809 | + | 7.32609i | −0.654023 | + | 0.747716i | ||||
\(97\) | −5.89193 | − | 1.25237i | −0.598235 | − | 0.127159i | −0.101166 | − | 0.994870i | \(-0.532257\pi\) |
−0.497069 | + | 0.867711i | \(0.665591\pi\) | |||||||
\(98\) | −4.40860 | − | 3.20304i | −0.445336 | − | 0.323556i | ||||
\(99\) | −2.08201 | + | 3.85832i | −0.209250 | + | 0.387776i | ||||
\(100\) | −1.74817 | − | 5.83178i | −0.174817 | − | 0.583178i | ||||
\(101\) | −1.94183 | + | 3.36335i | −0.193219 | + | 0.334666i | −0.946315 | − | 0.323245i | \(-0.895226\pi\) |
0.753096 | + | 0.657911i | \(0.228560\pi\) | |||||||
\(102\) | −6.76414 | + | 3.12891i | −0.669750 | + | 0.309809i | ||||
\(103\) | −8.86425 | + | 9.84474i | −0.873420 | + | 0.970031i | −0.999759 | − | 0.0219558i | \(-0.993011\pi\) |
0.126339 | + | 0.991987i | \(0.459677\pi\) | |||||||
\(104\) | −3.48777 | + | 3.87356i | −0.342004 | + | 0.379834i | ||||
\(105\) | −1.10623 | − | 3.37106i | −0.107957 | − | 0.328981i | ||||
\(106\) | 6.63074 | + | 7.36418i | 0.644034 | + | 0.715273i | ||||
\(107\) | 0.575014 | 0.0555887 | 0.0277944 | − | 0.999614i | \(-0.491152\pi\) | ||||
0.0277944 | + | 0.999614i | \(0.491152\pi\) | |||||||
\(108\) | 6.12625 | − | 1.58117i | 0.589499 | − | 0.152148i | ||||
\(109\) | 10.4238 | − | 7.57330i | 0.998415 | − | 0.725391i | 0.0366673 | − | 0.999328i | \(-0.488326\pi\) |
0.961748 | + | 0.273936i | \(0.0883258\pi\) | |||||||
\(110\) | −2.82019 | − | 0.633309i | −0.268895 | − | 0.0603836i | ||||
\(111\) | −8.50726 | − | 5.99587i | −0.807473 | − | 0.569103i | ||||
\(112\) | −0.0687104 | − | 0.0305919i | −0.00649253 | − | 0.00289066i | ||||
\(113\) | 6.68184 | + | 2.97495i | 0.628575 | + | 0.279859i | 0.696196 | − | 0.717852i | \(-0.254874\pi\) |
−0.0676216 | + | 0.997711i | \(0.521541\pi\) | |||||||
\(114\) | 9.19607 | − | 4.25386i | 0.861291 | − | 0.398411i | ||||
\(115\) | −1.34251 | + | 0.579383i | −0.125190 | + | 0.0540278i | ||||
\(116\) | −6.34297 | + | 4.60843i | −0.588930 | + | 0.427882i | ||||
\(117\) | 5.33921 | − | 1.29643i | 0.493610 | − | 0.119855i | ||||
\(118\) | −1.77004 | −0.162945 | ||||||||
\(119\) | 2.98189 | + | 3.31172i | 0.273349 | + | 0.303585i | ||||
\(120\) | 5.53922 | + | 9.52977i | 0.505660 | + | 0.869945i | ||||
\(121\) | −5.93137 | + | 6.58745i | −0.539215 | + | 0.598859i | ||||
\(122\) | −7.48103 | + | 8.30853i | −0.677301 | + | 0.752219i | ||||
\(123\) | −0.386726 | + | 4.26923i | −0.0348699 | + | 0.384943i | ||||
\(124\) | −1.78999 | + | 3.10036i | −0.160746 | + | 0.278420i | ||||
\(125\) | −11.1737 | − | 0.384254i | −0.999409 | − | 0.0343687i | ||||
\(126\) | 1.27546 | + | 2.06934i | 0.113627 | + | 0.184351i | ||||
\(127\) | 8.89523 | + | 6.46276i | 0.789324 | + | 0.573477i | 0.907763 | − | 0.419484i | \(-0.137789\pi\) |
−0.118439 | + | 0.992961i | \(0.537789\pi\) | |||||||
\(128\) | −6.55086 | − | 1.39243i | −0.579019 | − | 0.123074i | ||||
\(129\) | 6.84127 | + | 1.35163i | 0.602340 | + | 0.119004i | ||||
\(130\) | 1.77509 | + | 3.15756i | 0.155686 | + | 0.276936i | ||||
\(131\) | −9.44760 | + | 2.00815i | −0.825441 | + | 0.175453i | −0.601218 | − | 0.799085i | \(-0.705318\pi\) |
−0.224223 | + | 0.974538i | \(0.571984\pi\) | |||||||
\(132\) | −3.08179 | + | 0.0443247i | −0.268236 | + | 0.00385797i | ||||
\(133\) | −4.05397 | − | 4.50239i | −0.351524 | − | 0.390407i | ||||
\(134\) | −6.10200 | + | 4.43336i | −0.527133 | + | 0.382984i | ||||
\(135\) | 0.847812 | − | 11.5880i | 0.0729681 | − | 0.997334i | ||||
\(136\) | −11.2009 | − | 8.13790i | −0.960465 | − | 0.697819i | ||||
\(137\) | −2.04237 | − | 19.4319i | −0.174492 | − | 1.66018i | −0.634992 | − | 0.772518i | \(-0.718997\pi\) |
0.460501 | − | 0.887659i | \(-0.347670\pi\) | |||||||
\(138\) | 0.801930 | − | 0.600445i | 0.0682648 | − | 0.0511133i | ||||
\(139\) | −1.68243 | + | 16.0073i | −0.142702 | + | 1.35772i | 0.655438 | + | 0.755249i | \(0.272484\pi\) |
−0.798140 | + | 0.602472i | \(0.794183\pi\) | |||||||
\(140\) | 1.69007 | − | 1.83430i | 0.142837 | − | 0.155027i | ||||
\(141\) | 1.10735 | + | 9.25355i | 0.0932559 | + | 0.779289i | ||||
\(142\) | −9.76161 | − | 10.8414i | −0.819176 | − | 0.909787i | ||||
\(143\) | −2.67649 | −0.223820 | ||||||||
\(144\) | −0.170011 | − | 0.178230i | −0.0141676 | − | 0.0148525i | ||||
\(145\) | 4.29204 | + | 13.7434i | 0.356435 | + | 1.14133i | ||||
\(146\) | 2.15984 | + | 0.459087i | 0.178749 | + | 0.0379943i | ||||
\(147\) | −7.02541 | + | 8.03185i | −0.579446 | + | 0.662456i | ||||
\(148\) | 0.764808 | − | 7.27666i | 0.0628668 | − | 0.598138i | ||||
\(149\) | −5.73913 | − | 9.94047i | −0.470168 | − | 0.814355i | 0.529250 | − | 0.848466i | \(-0.322473\pi\) |
−0.999418 | + | 0.0341109i | \(0.989140\pi\) | |||||||
\(150\) | 7.50605 | − | 1.52862i | 0.612867 | − | 0.124811i | ||||
\(151\) | 7.22503 | − | 12.5141i | 0.587964 | − | 1.01838i | −0.406534 | − | 0.913636i | \(-0.633263\pi\) |
0.994499 | − | 0.104749i | \(-0.0334038\pi\) | |||||||
\(152\) | 15.2279 | + | 11.0637i | 1.23515 | + | 0.897387i | ||||
\(153\) | 4.90709 | + | 13.7442i | 0.396715 | + | 1.11116i | ||||
\(154\) | −0.365921 | − | 1.12619i | −0.0294868 | − | 0.0907510i | ||||
\(155\) | 4.34280 | + | 4.93574i | 0.348822 | + | 0.396448i | ||||
\(156\) | 2.62555 | + | 2.83295i | 0.210212 | + | 0.226818i | ||||
\(157\) | −11.2855 | − | 19.5471i | −0.900683 | − | 1.56003i | −0.826610 | − | 0.562776i | \(-0.809733\pi\) |
−0.0740732 | − | 0.997253i | \(-0.523600\pi\) | |||||||
\(158\) | 5.35848 | − | 1.13898i | 0.426298 | − | 0.0906123i | ||||
\(159\) | 15.5331 | − | 11.6304i | 1.23185 | − | 0.922348i | ||||
\(160\) | −6.40703 | + | 10.8093i | −0.506520 | + | 0.854554i | ||||
\(161\) | −0.484626 | − | 0.352101i | −0.0381939 | − | 0.0277495i | ||||
\(162\) | 1.28593 | + | 7.85609i | 0.101032 | + | 0.617233i | ||||
\(163\) | 13.3225 | − | 9.67938i | 1.04350 | − | 0.758148i | 0.0725352 | − | 0.997366i | \(-0.476891\pi\) |
0.970966 | + | 0.239218i | \(0.0768910\pi\) | |||||||
\(164\) | −2.75302 | + | 1.22572i | −0.214975 | + | 0.0957130i | ||||
\(165\) | −1.73330 | + | 5.38808i | −0.134937 | + | 0.419461i | ||||
\(166\) | −3.23608 | − | 1.44080i | −0.251168 | − | 0.111827i | ||||
\(167\) | 20.1378 | − | 4.28042i | 1.55831 | − | 0.331229i | 0.653461 | − | 0.756960i | \(-0.273316\pi\) |
0.904850 | + | 0.425731i | \(0.139983\pi\) | |||||||
\(168\) | −2.20141 | + | 3.94283i | −0.169842 | + | 0.304196i | ||||
\(169\) | −6.45429 | − | 7.16822i | −0.496484 | − | 0.551402i | ||||
\(170\) | −7.84823 | + | 5.56580i | −0.601932 | + | 0.426878i | ||||
\(171\) | −6.67134 | − | 18.6857i | −0.510170 | − | 1.42893i | ||||
\(172\) | 1.51492 | + | 4.66244i | 0.115512 | + | 0.355508i | ||||
\(173\) | 20.0490 | − | 8.92638i | 1.52430 | − | 0.678660i | 0.537894 | − | 0.843012i | \(-0.319220\pi\) |
0.986402 | + | 0.164352i | \(0.0525533\pi\) | |||||||
\(174\) | −5.05470 | − | 8.47127i | −0.383196 | − | 0.642205i | ||||
\(175\) | −2.19868 | − | 4.01814i | −0.166204 | − | 0.303743i | ||||
\(176\) | 0.0599937 | + | 0.103912i | 0.00452219 | + | 0.00783267i | ||||
\(177\) | −0.312693 | + | 3.45194i | −0.0235034 | + | 0.259464i | ||||
\(178\) | 12.2074 | + | 2.59476i | 0.914984 | + | 0.194486i | ||||
\(179\) | −3.58817 | − | 11.0432i | −0.268192 | − | 0.825410i | −0.990941 | − | 0.134299i | \(-0.957122\pi\) |
0.722749 | − | 0.691111i | \(-0.242878\pi\) | |||||||
\(180\) | 7.40335 | − | 3.45090i | 0.551813 | − | 0.257215i | ||||
\(181\) | 4.13289 | − | 12.7197i | 0.307196 | − | 0.945451i | −0.671653 | − | 0.740866i | \(-0.734415\pi\) |
0.978849 | − | 0.204585i | \(-0.0655845\pi\) | |||||||
\(182\) | −0.741991 | + | 1.28517i | −0.0550001 | + | 0.0952629i | ||||
\(183\) | 14.8818 | + | 16.0573i | 1.10009 | + | 1.18699i | ||||
\(184\) | 1.70017 | + | 0.756964i | 0.125338 | + | 0.0558041i | ||||
\(185\) | −12.2114 | − | 5.60541i | −0.897803 | − | 0.412118i | ||||
\(186\) | −3.68178 | − | 2.59490i | −0.269961 | − | 0.190267i | ||||
\(187\) | −0.743118 | − | 7.07029i | −0.0543422 | − | 0.517031i | ||||
\(188\) | −5.30041 | + | 3.85097i | −0.386572 | + | 0.280861i | ||||
\(189\) | 4.26096 | − | 2.12184i | 0.309939 | − | 0.154341i | ||||
\(190\) | 10.6699 | − | 7.56689i | 0.774078 | − | 0.548960i | ||||
\(191\) | −0.737405 | − | 7.01594i | −0.0533568 | − | 0.507656i | −0.988263 | − | 0.152761i | \(-0.951183\pi\) |
0.934906 | − | 0.354895i | \(-0.115483\pi\) | |||||||
\(192\) | 2.62634 | − | 8.49695i | 0.189540 | − | 0.613214i | ||||
\(193\) | −2.80358 | − | 4.85594i | −0.201806 | − | 0.349538i | 0.747304 | − | 0.664482i | \(-0.231348\pi\) |
−0.949110 | + | 0.314944i | \(0.898014\pi\) | |||||||
\(194\) | 5.21151 | − | 1.10774i | 0.374164 | − | 0.0795311i | ||||
\(195\) | 6.47148 | − | 2.90398i | 0.463432 | − | 0.207959i | ||||
\(196\) | −7.33768 | − | 1.55967i | −0.524120 | − | 0.111405i | ||||
\(197\) | 0.644829 | + | 1.98458i | 0.0459422 | + | 0.141395i | 0.971396 | − | 0.237464i | \(-0.0763163\pi\) |
−0.925454 | + | 0.378860i | \(0.876316\pi\) | |||||||
\(198\) | 0.294268 | − | 3.86673i | 0.0209127 | − | 0.274797i | ||||
\(199\) | 3.06579 | 0.217328 | 0.108664 | − | 0.994079i | \(-0.465343\pi\) | ||||
0.108664 | + | 0.994079i | \(0.465343\pi\) | |||||||
\(200\) | 9.27705 | + | 10.7905i | 0.655987 | + | 0.763006i | ||||
\(201\) | 7.56801 | + | 12.6834i | 0.533806 | + | 0.894615i | ||||
\(202\) | 0.359072 | − | 3.41634i | 0.0252642 | − | 0.240373i | ||||
\(203\) | −3.94692 | + | 4.38349i | −0.277019 | + | 0.307661i | ||||
\(204\) | −6.75463 | + | 7.72228i | −0.472919 | + | 0.540668i | ||||
\(205\) | 0.515371 | + | 5.51006i | 0.0359950 | + | 0.384840i | ||||
\(206\) | 3.62092 | − | 11.1440i | 0.252281 | − | 0.776442i | ||||
\(207\) | −1.02932 | − | 1.67000i | −0.0715430 | − | 0.116073i | ||||
\(208\) | 0.0464667 | − | 0.143010i | 0.00322188 | − | 0.00991594i | ||||
\(209\) | 1.01029 | + | 9.61229i | 0.0698834 | + | 0.664896i | ||||
\(210\) | 2.10667 | + | 2.32598i | 0.145374 | + | 0.160508i | ||||
\(211\) | 0.214854 | − | 2.04420i | 0.0147911 | − | 0.140728i | −0.984634 | − | 0.174631i | \(-0.944127\pi\) |
0.999425 | + | 0.0339024i | \(0.0107935\pi\) | |||||||
\(212\) | 12.4621 | + | 5.54850i | 0.855903 | + | 0.381072i | ||||
\(213\) | −22.8674 | + | 17.1219i | −1.56685 | + | 1.17318i | ||||
\(214\) | −0.464637 | + | 0.206870i | −0.0317619 | + | 0.0141413i | ||||
\(215\) | 9.00217 | + | 0.103156i | 0.613943 | + | 0.00703517i | ||||
\(216\) | −11.5781 | + | 9.20040i | −0.787788 | + | 0.626008i | ||||
\(217\) | −0.832292 | + | 2.56153i | −0.0564996 | + | 0.173888i | ||||
\(218\) | −5.69826 | + | 9.86967i | −0.385935 | + | 0.668458i | ||||
\(219\) | 1.27687 | − | 4.13103i | 0.0862829 | − | 0.279149i | ||||
\(220\) | −3.90126 | + | 0.782628i | −0.263023 | + | 0.0527648i | ||||
\(221\) | −5.96153 | + | 6.62095i | −0.401016 | + | 0.445373i | ||||
\(222\) | 9.03135 | + | 1.78432i | 0.606144 | + | 0.119756i | ||||
\(223\) | −20.7361 | + | 9.23232i | −1.38859 | + | 0.618242i | −0.958643 | − | 0.284611i | \(-0.908136\pi\) |
−0.429950 | + | 0.902852i | \(0.641469\pi\) | |||||||
\(224\) | −5.14783 | −0.343954 | ||||||||
\(225\) | −1.65512 | − | 14.9084i | −0.110341 | − | 0.993894i | ||||
\(226\) | −6.46951 | −0.430345 | ||||||||
\(227\) | 6.01094 | − | 2.67624i | 0.398960 | − | 0.177628i | −0.197442 | − | 0.980315i | \(-0.563263\pi\) |
0.596401 | + | 0.802686i | \(0.296597\pi\) | |||||||
\(228\) | 9.18314 | − | 10.4987i | 0.608168 | − | 0.695293i | ||||
\(229\) | 4.35897 | − | 4.84112i | 0.288049 | − | 0.319910i | −0.581702 | − | 0.813402i | \(-0.697613\pi\) |
0.869751 | + | 0.493492i | \(0.164280\pi\) | |||||||
\(230\) | 0.876365 | − | 0.951155i | 0.0577858 | − | 0.0627173i | ||||
\(231\) | −2.26095 | + | 0.514671i | −0.148759 | + | 0.0338629i | ||||
\(232\) | 9.16284 | − | 15.8705i | 0.601570 | − | 1.04195i | ||||
\(233\) | 1.15048 | − | 3.54081i | 0.0753703 | − | 0.231966i | −0.906273 | − | 0.422694i | \(-0.861085\pi\) |
0.981643 | + | 0.190727i | \(0.0610847\pi\) | |||||||
\(234\) | −3.84791 | + | 2.96843i | −0.251546 | + | 0.194052i | ||||
\(235\) | 3.58659 | + | 11.4845i | 0.233963 | + | 0.749166i | ||||
\(236\) | −2.22599 | + | 0.991077i | −0.144900 | + | 0.0645136i | ||||
\(237\) | −1.27462 | − | 10.6514i | −0.0827958 | − | 0.691880i | ||||
\(238\) | −3.60094 | − | 1.60324i | −0.233414 | − | 0.103923i | ||||
\(239\) | 0.596567 | − | 5.67596i | 0.0385887 | − | 0.367147i | −0.958138 | − | 0.286306i | \(-0.907573\pi\) |
0.996727 | − | 0.0808412i | \(-0.0257607\pi\) | |||||||
\(240\) | −0.257802 | − | 0.186155i | −0.0166411 | − | 0.0120163i | ||||
\(241\) | 3.12340 | + | 29.7171i | 0.201196 | + | 1.91425i | 0.370759 | + | 0.928729i | \(0.379098\pi\) |
−0.169563 | + | 0.985519i | \(0.554236\pi\) | |||||||
\(242\) | 2.42288 | − | 7.45685i | 0.155748 | − | 0.479345i | ||||
\(243\) | 15.5482 | − | 1.11998i | 0.997416 | − | 0.0718468i | ||||
\(244\) | −4.75602 | + | 14.6375i | −0.304473 | + | 0.937072i | ||||
\(245\) | −7.02425 | + | 11.8507i | −0.448763 | + | 0.757111i | ||||
\(246\) | −1.22342 | − | 3.58886i | −0.0780027 | − | 0.228817i | ||||
\(247\) | 8.10489 | − | 9.00139i | 0.515702 | − | 0.572745i | ||||
\(248\) | 0.874663 | − | 8.32186i | 0.0555412 | − | 0.528439i | ||||
\(249\) | −3.38153 | + | 6.05650i | −0.214296 | + | 0.383815i | ||||
\(250\) | 9.16712 | − | 3.70942i | 0.579780 | − | 0.234604i | ||||
\(251\) | −4.00907 | −0.253050 | −0.126525 | − | 0.991963i | \(-0.540382\pi\) | ||||
−0.126525 | + | 0.991963i | \(0.540382\pi\) | |||||||
\(252\) | 2.76267 | + | 1.88824i | 0.174032 | + | 0.118948i | ||||
\(253\) | 0.295307 | + | 0.908862i | 0.0185658 | + | 0.0571397i | ||||
\(254\) | −9.51282 | − | 2.02201i | −0.596887 | − | 0.126872i | ||||
\(255\) | 9.46801 | + | 16.2889i | 0.592910 | + | 1.02005i | ||||
\(256\) | 15.8393 | − | 3.36676i | 0.989959 | − | 0.210422i | ||||
\(257\) | −5.23224 | − | 9.06250i | −0.326378 | − | 0.565303i | 0.655412 | − | 0.755271i | \(-0.272495\pi\) |
−0.981790 | + | 0.189968i | \(0.939162\pi\) | |||||||
\(258\) | −6.01432 | + | 1.36907i | −0.374435 | + | 0.0852346i | ||||
\(259\) | −0.575393 | − | 5.47450i | −0.0357532 | − | 0.340169i | ||||
\(260\) | 4.00032 | + | 2.97703i | 0.248089 | + | 0.184627i | ||||
\(261\) | −17.4137 | + | 8.36120i | −1.07788 | + | 0.517545i | ||||
\(262\) | 6.91162 | − | 5.02159i | 0.427001 | − | 0.310235i | ||||
\(263\) | 1.04740 | + | 9.96535i | 0.0645855 | + | 0.614490i | 0.978165 | + | 0.207830i | \(0.0666400\pi\) |
−0.913580 | + | 0.406660i | \(0.866693\pi\) | |||||||
\(264\) | 6.53836 | − | 3.02447i | 0.402408 | − | 0.186144i | ||||
\(265\) | 16.9748 | − | 18.4235i | 1.04276 | − | 1.13175i | ||||
\(266\) | 4.89559 | + | 2.17966i | 0.300168 | + | 0.133643i | ||||
\(267\) | 7.21687 | − | 23.3486i | 0.441665 | − | 1.42891i | ||||
\(268\) | −5.19154 | + | 8.99200i | −0.317124 | + | 0.549274i | ||||
\(269\) | 6.60992 | − | 20.3433i | 0.403014 | − | 1.24035i | −0.519528 | − | 0.854453i | \(-0.673892\pi\) |
0.922542 | − | 0.385896i | \(-0.126108\pi\) | |||||||
\(270\) | 3.48388 | + | 9.66862i | 0.212022 | + | 0.588413i | ||||
\(271\) | 2.51483 | + | 7.73984i | 0.152765 | + | 0.470162i | 0.997928 | − | 0.0643473i | \(-0.0204965\pi\) |
−0.845163 | + | 0.534509i | \(0.820497\pi\) | |||||||
\(272\) | 0.390679 | + | 0.0830414i | 0.0236884 | + | 0.00503512i | ||||
\(273\) | 2.37526 | + | 1.67407i | 0.143757 | + | 0.101320i | ||||
\(274\) | 8.64124 | + | 14.9671i | 0.522036 | + | 0.904193i | ||||
\(275\) | −0.930116 | + | 7.24760i | −0.0560881 | + | 0.437047i | ||||
\(276\) | 0.672305 | − | 1.20413i | 0.0404680 | − | 0.0724803i | ||||
\(277\) | 0.0811277 | − | 0.0361204i | 0.00487449 | − | 0.00217026i | −0.404298 | − | 0.914627i | \(-0.632484\pi\) |
0.409172 | + | 0.912457i | \(0.365817\pi\) | |||||||
\(278\) | −4.39938 | − | 13.5399i | −0.263857 | − | 0.812069i | ||||
\(279\) | −5.71101 | + | 6.72182i | −0.341909 | + | 0.402425i | ||||
\(280\) | −1.86493 | + | 5.52349i | −0.111451 | + | 0.330091i | ||||
\(281\) | −13.6010 | − | 15.1054i | −0.811365 | − | 0.901112i | 0.185303 | − | 0.982681i | \(-0.440673\pi\) |
−0.996668 | + | 0.0815694i | \(0.974007\pi\) | |||||||
\(282\) | −4.22389 | − | 7.07890i | −0.251529 | − | 0.421542i | ||||
\(283\) | −27.2002 | + | 5.78158i | −1.61688 | + | 0.343679i | −0.925482 | − | 0.378791i | \(-0.876340\pi\) |
−0.691402 | + | 0.722471i | \(0.743007\pi\) | |||||||
\(284\) | −18.3464 | − | 8.16836i | −1.08866 | − | 0.484703i | ||||
\(285\) | −12.8721 | − | 22.1453i | −0.762476 | − | 1.31178i | ||||
\(286\) | 2.16273 | − | 0.962908i | 0.127885 | − | 0.0569380i | ||||
\(287\) | −1.83421 | + | 1.33263i | −0.108270 | + | 0.0786628i | ||||
\(288\) | −15.5918 | − | 6.41117i | −0.918753 | − | 0.377782i | ||||
\(289\) | −5.39197 | − | 3.91749i | −0.317174 | − | 0.230441i | ||||
\(290\) | −8.41257 | − | 9.56118i | −0.494003 | − | 0.561452i | ||||
\(291\) | −1.23966 | − | 10.3592i | −0.0726704 | − | 0.607268i | ||||
\(292\) | 2.97325 | − | 0.631985i | 0.173997 | − | 0.0369841i | ||||
\(293\) | −5.17974 | − | 8.97157i | −0.302604 | − | 0.524125i | 0.674121 | − | 0.738621i | \(-0.264523\pi\) |
−0.976725 | + | 0.214496i | \(0.931189\pi\) | |||||||
\(294\) | 2.78727 | − | 9.01759i | 0.162557 | − | 0.525916i | ||||
\(295\) | 0.416710 | + | 4.45524i | 0.0242618 | + | 0.259394i | ||||
\(296\) | 5.28476 | + | 16.2648i | 0.307171 | + | 0.945374i | ||||
\(297\) | −7.48894 | − | 1.25698i | −0.434552 | − | 0.0729371i | ||||
\(298\) | 8.21371 | + | 5.96761i | 0.475807 | + | 0.345694i | ||||
\(299\) | 0.598805 | − | 1.03716i | 0.0346298 | − | 0.0599805i | ||||
\(300\) | 8.58368 | − | 6.12516i | 0.495579 | − | 0.353636i | ||||
\(301\) | 1.84412 | + | 3.19411i | 0.106293 | + | 0.184106i | ||||
\(302\) | −1.33601 | + | 12.7113i | −0.0768787 | + | 0.731452i | ||||
\(303\) | −6.59913 | − | 1.30379i | −0.379110 | − | 0.0749008i | ||||
\(304\) | −0.531141 | − | 0.112897i | −0.0304630 | − | 0.00647511i | ||||
\(305\) | 22.6740 | + | 16.8739i | 1.29831 | + | 0.966200i | ||||
\(306\) | −8.90984 | − | 9.34056i | −0.509342 | − | 0.533964i | ||||
\(307\) | −26.4065 | −1.50710 | −0.753550 | − | 0.657391i | \(-0.771660\pi\) | ||||
−0.753550 | + | 0.657391i | \(0.771660\pi\) | |||||||
\(308\) | −1.09076 | − | 1.21141i | −0.0621515 | − | 0.0690263i | ||||
\(309\) | −21.0935 | − | 9.03023i | −1.19997 | − | 0.513712i | ||||
\(310\) | −5.28488 | − | 2.42592i | −0.300161 | − | 0.137783i | ||||
\(311\) | 0.852094 | − | 8.10713i | 0.0483178 | − | 0.459713i | −0.943436 | − | 0.331555i | \(-0.892427\pi\) |
0.991754 | − | 0.128158i | \(-0.0409066\pi\) | |||||||
\(312\) | −8.29956 | − | 3.55308i | −0.469870 | − | 0.201153i | ||||
\(313\) | 3.04832 | + | 29.0029i | 0.172301 | + | 1.63934i | 0.649370 | + | 0.760472i | \(0.275032\pi\) |
−0.477069 | + | 0.878866i | \(0.658301\pi\) | |||||||
\(314\) | 16.1516 | + | 11.7348i | 0.911486 | + | 0.662233i | ||||
\(315\) | 4.90831 | − | 3.69754i | 0.276552 | − | 0.208333i | ||||
\(316\) | 6.10107 | − | 4.43268i | 0.343212 | − | 0.249358i | ||||
\(317\) | −7.21022 | − | 8.00776i | −0.404966 | − | 0.449761i | 0.505820 | − | 0.862639i | \(-0.331190\pi\) |
−0.910786 | + | 0.412878i | \(0.864523\pi\) | |||||||
\(318\) | −8.36721 | + | 14.9861i | −0.469210 | + | 0.840379i | ||||
\(319\) | 9.20437 | − | 1.95645i | 0.515346 | − | 0.109540i | ||||
\(320\) | 1.33091 | − | 11.4042i | 0.0744001 | − | 0.637512i | ||||
\(321\) | 0.321357 | + | 0.942684i | 0.0179364 | + | 0.0526155i | ||||
\(322\) | 0.518273 | + | 0.110162i | 0.0288822 | + | 0.00613910i | ||||
\(323\) | 26.0286 | + | 18.9109i | 1.44827 | + | 1.05223i | ||||
\(324\) | 6.01594 | + | 9.15977i | 0.334219 | + | 0.508876i | ||||
\(325\) | 7.52976 | − | 5.21132i | 0.417676 | − | 0.289072i | ||||
\(326\) | −7.28290 | + | 12.6144i | −0.403362 | + | 0.698644i | ||||
\(327\) | 18.2413 | + | 12.8563i | 1.00874 | + | 0.710958i | ||||
\(328\) | 4.71320 | − | 5.23454i | 0.260243 | − | 0.289029i | ||||
\(329\) | −3.29818 | + | 3.66300i | −0.181835 | + | 0.201948i | ||||
\(330\) | −0.537860 | − | 4.97739i | −0.0296082 | − | 0.273996i | ||||
\(331\) | 10.0456 | + | 11.1567i | 0.552154 | + | 0.613229i | 0.953020 | − | 0.302908i | \(-0.0979574\pi\) |
−0.400866 | + | 0.916137i | \(0.631291\pi\) | |||||||
\(332\) | −4.87641 | −0.267628 | ||||||||
\(333\) | 5.07526 | − | 17.2978i | 0.278123 | − | 0.947913i | ||||
\(334\) | −14.7323 | + | 10.7036i | −0.806116 | + | 0.585678i | ||||
\(335\) | 12.5955 | + | 14.3152i | 0.688164 | + | 0.782123i | ||||
\(336\) | 0.0117526 | − | 0.129741i | 0.000641155 | − | 0.00707798i | ||||
\(337\) | 1.21087 | + | 0.539114i | 0.0659603 | + | 0.0293674i | 0.439452 | − | 0.898266i | \(-0.355173\pi\) |
−0.373491 | + | 0.927634i | \(0.621839\pi\) | |||||||
\(338\) | 7.79423 | + | 3.47022i | 0.423950 | + | 0.188755i | ||||
\(339\) | −1.14289 | + | 12.6169i | −0.0620735 | + | 0.685255i | ||||
\(340\) | −6.75352 | + | 11.3939i | −0.366261 | + | 0.617921i | ||||
\(341\) | 3.47611 | − | 2.52554i | 0.188242 | − | 0.136766i | ||||
\(342\) | 12.1132 | + | 12.6988i | 0.655007 | + | 0.686672i | ||||
\(343\) | −12.0562 | −0.650975 | ||||||||
\(344\) | −7.66732 | − | 8.51542i | −0.413394 | − | 0.459121i | ||||
\(345\) | −1.70013 | − | 1.87712i | −0.0915320 | − | 0.101061i | ||||
\(346\) | −12.9891 | + | 14.4258i | −0.698297 | + | 0.775538i | ||||
\(347\) | −5.31615 | + | 5.90418i | −0.285386 | + | 0.316953i | −0.868743 | − | 0.495262i | \(-0.835072\pi\) |
0.583358 | + | 0.812215i | \(0.301739\pi\) | |||||||
\(348\) | −11.1000 | − | 7.82322i | −0.595022 | − | 0.419369i | ||||
\(349\) | 6.48550 | − | 11.2332i | 0.347161 | − | 0.601300i | −0.638583 | − | 0.769553i | \(-0.720479\pi\) |
0.985744 | + | 0.168253i | \(0.0538124\pi\) | |||||||
\(350\) | 3.22221 | + | 2.45583i | 0.172235 | + | 0.131270i | ||||
\(351\) | 5.10929 | + | 8.02862i | 0.272714 | + | 0.428536i | ||||
\(352\) | 6.64392 | + | 4.82709i | 0.354122 | + | 0.257285i | ||||
\(353\) | −4.30300 | − | 0.914630i | −0.229025 | − | 0.0486809i | 0.0919693 | − | 0.995762i | \(-0.470684\pi\) |
−0.320995 | + | 0.947081i | \(0.604017\pi\) | |||||||
\(354\) | −0.989217 | − | 2.90182i | −0.0525763 | − | 0.154230i | ||||
\(355\) | −24.9899 | + | 27.1226i | −1.32633 | + | 1.43952i | ||||
\(356\) | 16.8048 | − | 3.57198i | 0.890655 | − | 0.189315i | ||||
\(357\) | −3.76279 | + | 6.73935i | −0.199148 | + | 0.356684i | ||||
\(358\) | 6.87237 | + | 7.63253i | 0.363216 | + | 0.403392i | ||||
\(359\) | 11.0737 | − | 8.04552i | 0.584448 | − | 0.424627i | −0.255877 | − | 0.966709i | \(-0.582364\pi\) |
0.840325 | + | 0.542083i | \(0.182364\pi\) | |||||||
\(360\) | −12.5275 | + | 14.4069i | −0.660258 | + | 0.759313i | ||||
\(361\) | −20.0154 | − | 14.5420i | −1.05344 | − | 0.765370i | ||||
\(362\) | 1.23655 | + | 11.7650i | 0.0649916 | + | 0.618354i | ||||
\(363\) | −14.1144 | − | 6.04243i | −0.740813 | − | 0.317145i | ||||
\(364\) | −0.213538 | + | 2.03168i | −0.0111924 | + | 0.106489i | ||||
\(365\) | 0.647059 | − | 5.54445i | 0.0338686 | − | 0.290210i | ||||
\(366\) | −17.8020 | − | 7.62111i | −0.930525 | − | 0.398362i | ||||
\(367\) | 3.50752 | + | 3.89550i | 0.183091 | + | 0.203343i | 0.827703 | − | 0.561167i | \(-0.189648\pi\) |
−0.644611 | + | 0.764510i | \(0.722981\pi\) | |||||||
\(368\) | −0.0536889 | −0.00279873 | ||||||||
\(369\) | −7.21514 | + | 1.75193i | −0.375605 | + | 0.0912018i | ||||
\(370\) | 11.8840 | + | 0.136179i | 0.617821 | + | 0.00707960i | ||||
\(371\) | 10.0387 | + | 2.13380i | 0.521185 | + | 0.110781i | ||||
\(372\) | −6.08312 | − | 1.20184i | −0.315395 | − | 0.0623126i | ||||
\(373\) | −0.885927 | + | 8.42903i | −0.0458716 | + | 0.436439i | 0.947350 | + | 0.320201i | \(0.103750\pi\) |
−0.993221 | + | 0.116238i | \(0.962916\pi\) | |||||||
\(374\) | 3.14411 | + | 5.44577i | 0.162578 | + | 0.281594i | ||||
\(375\) | −5.61469 | − | 18.5331i | −0.289941 | − | 0.957044i | ||||
\(376\) | 7.65680 | − | 13.2620i | 0.394869 | − | 0.683933i | ||||
\(377\) | −9.54050 | − | 6.93158i | −0.491361 | − | 0.356994i | ||||
\(378\) | −2.67968 | + | 3.24748i | −0.137828 | + | 0.167033i | ||||
\(379\) | −7.97105 | − | 24.5324i | −0.409445 | − | 1.26014i | −0.917126 | − | 0.398598i | \(-0.869497\pi\) |
0.507680 | − | 0.861545i | \(-0.330503\pi\) | |||||||
\(380\) | 9.18162 | − | 15.4904i | 0.471007 | − | 0.794640i | ||||
\(381\) | −5.62386 | + | 18.1948i | −0.288119 | + | 0.932146i | ||||
\(382\) | 3.11995 | + | 5.40390i | 0.159630 | + | 0.276488i | ||||
\(383\) | 7.46117 | − | 1.58592i | 0.381248 | − | 0.0810367i | −0.0133014 | − | 0.999912i | \(-0.504234\pi\) |
0.394549 | + | 0.918875i | \(0.370901\pi\) | |||||||
\(384\) | −1.37830 | − | 11.5177i | −0.0703362 | − | 0.587761i | ||||
\(385\) | −2.74851 | + | 1.18617i | −0.140077 | + | 0.0604527i | ||||
\(386\) | 4.01241 | + | 2.91519i | 0.204226 | + | 0.148379i | ||||
\(387\) | 1.60749 | + | 11.9710i | 0.0817133 | + | 0.608522i | ||||
\(388\) | 5.93373 | − | 4.31110i | 0.301239 | − | 0.218863i | ||||
\(389\) | −32.4386 | + | 14.4426i | −1.64470 | + | 0.732268i | −0.999496 | − | 0.0317430i | \(-0.989894\pi\) |
−0.645204 | + | 0.764011i | \(0.723228\pi\) | |||||||
\(390\) | −4.18449 | + | 4.67476i | −0.211890 | + | 0.236716i | ||||
\(391\) | 2.90604 | + | 1.29385i | 0.146965 | + | 0.0654330i | ||||
\(392\) | 17.1508 | − | 3.64552i | 0.866246 | − | 0.184126i | ||||
\(393\) | −8.57214 | − | 14.3662i | −0.432407 | − | 0.724679i | ||||
\(394\) | −1.23503 | − | 1.37164i | −0.0622200 | − | 0.0691024i | ||||
\(395\) | −4.12836 | − | 13.2193i | −0.207720 | − | 0.665135i | ||||
\(396\) | −1.79498 | − | 5.02755i | −0.0902012 | − | 0.252644i | ||||
\(397\) | 8.38450 | + | 25.8048i | 0.420806 | + | 1.29511i | 0.906954 | + | 0.421230i | \(0.138402\pi\) |
−0.486148 | + | 0.873877i | \(0.661598\pi\) | |||||||
\(398\) | −2.47729 | + | 1.10296i | −0.124176 | + | 0.0552865i | ||||
\(399\) | 5.11564 | − | 9.16237i | 0.256102 | − | 0.458692i | ||||
\(400\) | −0.371104 | − | 0.175523i | −0.0185552 | − | 0.00877617i | ||||
\(401\) | 11.5052 | + | 19.9276i | 0.574543 | + | 0.995138i | 0.996091 | + | 0.0883319i | \(0.0281536\pi\) |
−0.421548 | + | 0.906806i | \(0.638513\pi\) | |||||||
\(402\) | −10.6783 | − | 7.52602i | −0.532586 | − | 0.375364i | ||||
\(403\) | −5.26701 | − | 1.11954i | −0.262368 | − | 0.0557681i | ||||
\(404\) | −1.46130 | − | 4.49742i | −0.0727025 | − | 0.223755i | ||||
\(405\) | 19.4713 | − | 5.08623i | 0.967535 | − | 0.252737i | ||||
\(406\) | 1.61226 | − | 4.96202i | 0.0800150 | − | 0.246261i | ||||
\(407\) | −4.39079 | + | 7.60507i | −0.217643 | + | 0.376970i | ||||
\(408\) | 7.08156 | − | 22.9108i | 0.350589 | − | 1.13425i | ||||
\(409\) | 16.5641 | + | 7.37483i | 0.819044 | + | 0.364662i | 0.773101 | − | 0.634282i | \(-0.218704\pi\) |
0.0459421 | + | 0.998944i | \(0.485371\pi\) | |||||||
\(410\) | −2.39877 | − | 4.26697i | −0.118467 | − | 0.210730i | ||||
\(411\) | 30.7154 | − | 14.2081i | 1.51508 | − | 0.700836i | ||||
\(412\) | −1.68609 | − | 16.0421i | −0.0830679 | − | 0.790338i | ||||
\(413\) | −1.48308 | + | 1.07752i | −0.0729775 | + | 0.0530212i | ||||
\(414\) | 1.43255 | + | 0.979124i | 0.0704059 | + | 0.0481213i | ||||
\(415\) | −2.86467 | + | 8.48451i | −0.140621 | + | 0.416488i | ||||
\(416\) | −1.07578 | − | 10.2354i | −0.0527446 | − | 0.501831i | ||||
\(417\) | −27.1828 | + | 6.18776i | −1.33115 | + | 0.303016i | ||||
\(418\) | −4.27453 | − | 7.40370i | −0.209074 | − | 0.362127i | ||||
\(419\) | 3.16469 | − | 0.672676i | 0.154605 | − | 0.0328624i | −0.129959 | − | 0.991519i | \(-0.541484\pi\) |
0.284564 | + | 0.958657i | \(0.408151\pi\) | |||||||
\(420\) | 3.95170 | + | 1.74559i | 0.192823 | + | 0.0851759i | ||||
\(421\) | 10.1780 | + | 2.16341i | 0.496047 | + | 0.105438i | 0.449140 | − | 0.893461i | \(-0.351730\pi\) |
0.0469065 | + | 0.998899i | \(0.485064\pi\) | |||||||
\(422\) | 0.561818 | + | 1.72910i | 0.0273489 | + | 0.0841712i | ||||
\(423\) | −14.5515 | + | 6.98692i | −0.707518 | + | 0.339715i | ||||
\(424\) | −31.8851 | −1.54848 | ||||||||
\(425\) | 15.8570 | + | 18.4439i | 0.769175 | + | 0.894661i | ||||
\(426\) | 12.3180 | − | 22.0622i | 0.596809 | − | 1.06892i | ||||
\(427\) | −1.21034 | + | 11.5156i | −0.0585726 | + | 0.557281i | ||||
\(428\) | −0.468496 | + | 0.520318i | −0.0226456 | + | 0.0251505i | ||||
\(429\) | −1.49581 | − | 4.38787i | −0.0722182 | − | 0.211849i | ||||
\(430\) | −7.31127 | + | 3.15531i | −0.352581 | + | 0.152163i | ||||
\(431\) | 6.18249 | − | 19.0277i | 0.297800 | − | 0.916534i | −0.684467 | − | 0.729044i | \(-0.739965\pi\) |
0.982267 | − | 0.187490i | \(-0.0600351\pi\) | |||||||
\(432\) | 0.197178 | − | 0.378324i | 0.00948673 | − | 0.0182021i | ||||
\(433\) | −1.29700 | + | 3.99175i | −0.0623297 | + | 0.191831i | −0.977372 | − | 0.211526i | \(-0.932157\pi\) |
0.915043 | + | 0.403357i | \(0.132157\pi\) | |||||||
\(434\) | −0.249019 | − | 2.36926i | −0.0119533 | − | 0.113728i | ||||
\(435\) | −20.1324 | + | 14.7172i | −0.965277 | + | 0.705635i | ||||
\(436\) | −1.63990 | + | 15.6026i | −0.0785370 | + | 0.747230i | ||||
\(437\) | −3.95086 | − | 1.75904i | −0.188995 | − | 0.0841461i | ||||
\(438\) | 0.454430 | + | 3.79743i | 0.0217135 | + | 0.181448i | ||||
\(439\) | 29.5520 | − | 13.1574i | 1.41044 | − | 0.627969i | 0.446670 | − | 0.894699i | \(-0.352610\pi\) |
0.963771 | + | 0.266730i | \(0.0859431\pi\) | |||||||
\(440\) | 7.58626 | − | 5.38002i | 0.361661 | − | 0.256482i | ||||
\(441\) | −17.0938 | − | 7.02879i | −0.813989 | − | 0.334704i | ||||
\(442\) | 2.43520 | − | 7.49477i | 0.115831 | − | 0.356490i | ||||
\(443\) | −0.881739 | + | 1.52722i | −0.0418927 | + | 0.0725602i | −0.886211 | − | 0.463281i | \(-0.846672\pi\) |
0.844319 | + | 0.535841i | \(0.180005\pi\) | |||||||
\(444\) | 12.3569 | − | 2.81286i | 0.586431 | − | 0.133492i | ||||
\(445\) | 3.65718 | − | 31.3373i | 0.173367 | − | 1.48553i | ||||
\(446\) | 13.4343 | − | 14.9203i | 0.636130 | − | 0.706494i | ||||
\(447\) | 13.0891 | − | 14.9642i | 0.619093 | − | 0.707783i | ||||
\(448\) | 4.29709 | − | 1.91319i | 0.203019 | − | 0.0903897i | ||||
\(449\) | 4.06171 | 0.191684 | 0.0958420 | − | 0.995397i | \(-0.469446\pi\) | ||||
0.0958420 | + | 0.995397i | \(0.469446\pi\) | |||||||
\(450\) | 6.70093 | + | 11.4512i | 0.315885 | + | 0.539815i | ||||
\(451\) | 3.61688 | 0.170312 | ||||||||
\(452\) | −8.13603 | + | 3.62239i | −0.382687 | + | 0.170383i | ||||
\(453\) | 24.5536 | + | 4.85105i | 1.15363 | + | 0.227922i | ||||
\(454\) | −3.89429 | + | 4.32504i | −0.182768 | + | 0.202984i | ||||
\(455\) | 3.40949 | + | 1.56505i | 0.159839 | + | 0.0733709i | ||||
\(456\) | −9.62761 | + | 31.1480i | −0.450854 | + | 1.45864i | ||||
\(457\) | −17.6151 | + | 30.5103i | −0.824002 | + | 1.42721i | 0.0786783 | + | 0.996900i | \(0.474930\pi\) |
−0.902680 | + | 0.430313i | \(0.858403\pi\) | |||||||
\(458\) | −1.78057 | + | 5.48004i | −0.0832008 | + | 0.256066i | ||||
\(459\) | −19.7900 | + | 15.7259i | −0.923720 | + | 0.734024i | ||||
\(460\) | 0.569545 | − | 1.68686i | 0.0265552 | − | 0.0786503i | ||||
\(461\) | −0.00623691 | + | 0.00277685i | −0.000290482 | + | 0.000129331i | −0.406882 | − | 0.913481i | \(-0.633384\pi\) |
0.406591 | + | 0.913610i | \(0.366717\pi\) | |||||||
\(462\) | 1.64179 | − | 1.22929i | 0.0763828 | − | 0.0571916i | ||||
\(463\) | 26.7037 | + | 11.8893i | 1.24103 | + | 0.552541i | 0.919025 | − | 0.394198i | \(-0.128978\pi\) |
0.322001 | + | 0.946739i | \(0.395644\pi\) | |||||||
\(464\) | −0.0552608 | + | 0.525771i | −0.00256542 | + | 0.0244083i | ||||
\(465\) | −5.66466 | + | 9.87805i | −0.262692 | + | 0.458084i | ||||
\(466\) | 0.344220 | + | 3.27503i | 0.0159457 | + | 0.151713i | ||||
\(467\) | −5.25864 | + | 16.1844i | −0.243341 | + | 0.748926i | 0.752564 | + | 0.658519i | \(0.228817\pi\) |
−0.995905 | + | 0.0904068i | \(0.971183\pi\) | |||||||
\(468\) | −3.17704 | + | 5.88760i | −0.146859 | + | 0.272155i | ||||
\(469\) | −2.41391 | + | 7.42924i | −0.111464 | + | 0.343050i | ||||
\(470\) | −7.02984 | − | 7.98966i | −0.324262 | − | 0.368536i | ||||
\(471\) | 25.7386 | − | 29.4259i | 1.18597 | − | 1.35587i | ||||
\(472\) | 3.81092 | − | 4.23246i | 0.175412 | − | 0.194815i | ||||
\(473\) | 0.615031 | − | 5.85163i | 0.0282791 | − | 0.269058i | ||||
\(474\) | 4.86193 | + | 8.14820i | 0.223316 | + | 0.374259i | ||||
\(475\) | −21.5580 | − | 25.0751i | −0.989151 | − | 1.15052i | ||||
\(476\) | −5.42621 | −0.248710 | ||||||||
\(477\) | 27.7479 | + | 18.9652i | 1.27049 | + | 0.868358i | ||||
\(478\) | 1.55996 | + | 4.80105i | 0.0713507 | + | 0.219595i | ||||
\(479\) | 38.6010 | + | 8.20489i | 1.76372 | + | 0.374891i | 0.971814 | − | 0.235749i | \(-0.0757542\pi\) |
0.791909 | + | 0.610640i | \(0.209088\pi\) | |||||||
\(480\) | −21.3016 | − | 4.46276i | −0.972283 | − | 0.203696i | ||||
\(481\) | 10.7647 | − | 2.28810i | 0.490827 | − | 0.104328i | ||||
\(482\) | −13.2150 | − | 22.8891i | −0.601928 | − | 1.04257i | ||||
\(483\) | 0.306397 | − | 0.991278i | 0.0139415 | − | 0.0451047i | ||||
\(484\) | −1.12822 | − | 10.7343i | −0.0512828 | − | 0.487924i | ||||
\(485\) | −4.01513 | − | 12.8567i | −0.182318 | − | 0.583794i | ||||
\(486\) | −12.1607 | + | 6.49868i | −0.551620 | + | 0.294786i | ||||
\(487\) | −4.96283 | + | 3.60570i | −0.224887 | + | 0.163390i | −0.694524 | − | 0.719470i | \(-0.744385\pi\) |
0.469637 | + | 0.882860i | \(0.344385\pi\) | |||||||
\(488\) | −3.76029 | − | 35.7768i | −0.170220 | − | 1.61954i | ||||
\(489\) | 23.3140 | + | 16.4316i | 1.05430 | + | 0.743063i | ||||
\(490\) | 1.41246 | − | 12.1029i | 0.0638084 | − | 0.546755i | ||||
\(491\) | −37.8652 | − | 16.8587i | −1.70883 | − | 0.760821i | −0.998369 | − | 0.0570848i | \(-0.981819\pi\) |
−0.710462 | − | 0.703736i | \(-0.751514\pi\) | |||||||
\(492\) | −3.54804 | − | 3.82831i | −0.159958 | − | 0.172594i | ||||
\(493\) | 15.6617 | − | 27.1269i | 0.705369 | − | 1.22174i | ||||
\(494\) | −3.31073 | + | 10.1894i | −0.148957 | + | 0.458442i | ||||
\(495\) | −9.80195 | + | 0.169640i | −0.440565 | + | 0.00762475i | ||||
\(496\) | 0.0745952 | + | 0.229580i | 0.00334942 | + | 0.0103085i | ||||
\(497\) | −14.7788 | − | 3.14132i | −0.662918 | − | 0.140908i | ||||
\(498\) | 0.553515 | − | 6.11048i | 0.0248036 | − | 0.273817i | ||||
\(499\) | −21.5077 | − | 37.2524i | −0.962815 | − | 1.66765i | −0.715373 | − | 0.698742i | \(-0.753743\pi\) |
−0.247442 | − | 0.968903i | \(-0.579590\pi\) | |||||||
\(500\) | 9.45156 | − | 9.79779i | 0.422687 | − | 0.438170i | ||||
\(501\) | 18.2717 | + | 30.6219i | 0.816321 | + | 1.36809i | ||||
\(502\) | 3.23951 | − | 1.44232i | 0.144586 | − | 0.0643740i | ||||
\(503\) | −3.68891 | − | 11.3533i | −0.164481 | − | 0.506219i | 0.834517 | − | 0.550982i | \(-0.185747\pi\) |
−0.998998 | + | 0.0447630i | \(0.985747\pi\) | |||||||
\(504\) | −7.69421 | − | 1.40549i | −0.342728 | − | 0.0626053i | ||||
\(505\) | −8.68356 | − | 0.0995048i | −0.386413 | − | 0.00442790i | ||||
\(506\) | −0.565598 | − | 0.628160i | −0.0251439 | − | 0.0279251i | ||||
\(507\) | 8.14456 | − | 14.5873i | 0.361713 | − | 0.647846i | ||||
\(508\) | −13.0954 | + | 2.78352i | −0.581017 | + | 0.123499i | ||||
\(509\) | 15.8268 | + | 7.04652i | 0.701509 | + | 0.312332i | 0.726316 | − | 0.687361i | \(-0.241231\pi\) |
−0.0248079 | + | 0.999692i | \(0.507897\pi\) | |||||||
\(510\) | −13.5108 | − | 9.75593i | −0.598267 | − | 0.432000i | ||||
\(511\) | 2.08915 | − | 0.930150i | 0.0924186 | − | 0.0411474i | ||||
\(512\) | −0.751353 | + | 0.545890i | −0.0332054 | + | 0.0241252i | ||||
\(513\) | 26.9052 | − | 21.3799i | 1.18789 | − | 0.943947i | ||||
\(514\) | 7.48825 | + | 5.44053i | 0.330293 | + | 0.239972i | ||||
\(515\) | −28.9023 | − | 6.49038i | −1.27359 | − | 0.286000i | ||||
\(516\) | −6.79702 | + | 5.08926i | −0.299222 | + | 0.224042i | ||||
\(517\) | 7.69150 | − | 1.63488i | 0.338272 | − | 0.0719019i | ||||
\(518\) | 2.43448 | + | 4.21663i | 0.106965 | + | 0.185268i | ||||
\(519\) | 25.8387 | + | 27.8798i | 1.13419 | + | 1.22379i | ||||
\(520\) | −11.3720 | − | 2.55374i | −0.498697 | − | 0.111989i | ||||
\(521\) | 6.41731 | + | 19.7505i | 0.281147 | + | 0.865283i | 0.987527 | + | 0.157450i | \(0.0503272\pi\) |
−0.706380 | + | 0.707833i | \(0.749673\pi\) | |||||||
\(522\) | 11.0630 | − | 13.0211i | 0.484213 | − | 0.569916i | ||||
\(523\) | −13.4985 | − | 9.80721i | −0.590247 | − | 0.428839i | 0.252157 | − | 0.967686i | \(-0.418860\pi\) |
−0.842404 | + | 0.538847i | \(0.818860\pi\) | |||||||
\(524\) | 5.88035 | − | 10.1851i | 0.256884 | − | 0.444937i | ||||
\(525\) | 5.35861 | − | 5.85014i | 0.233869 | − | 0.255321i | ||||
\(526\) | −4.43153 | − | 7.67563i | −0.193224 | − | 0.334674i | ||||
\(527\) | 1.49503 | − | 14.2243i | 0.0651247 | − | 0.619620i | ||||
\(528\) | −0.136826 | + | 0.156427i | −0.00595459 | + | 0.00680763i | ||||
\(529\) | 22.0791 | + | 4.69307i | 0.959962 | + | 0.204046i | ||||
\(530\) | −7.08830 | + | 20.9939i | −0.307896 | + | 0.911918i | ||||
\(531\) | −5.83390 | + | 1.41655i | −0.253170 | + | 0.0614729i | ||||
\(532\) | 7.37711 | 0.319838 | ||||||||
\(533\) | −3.03298 | − | 3.36846i | −0.131373 | − | 0.145904i | ||||
\(534\) | 2.56844 | + | 21.4631i | 0.111147 | + | 0.928798i | ||||
\(535\) | 0.630084 | + | 1.12080i | 0.0272409 | + | 0.0484566i | ||||
\(536\) | 2.53680 | − | 24.1360i | 0.109573 | − | 1.04252i | ||||
\(537\) | 16.0991 | − | 12.0542i | 0.694727 | − | 0.520176i | ||||
\(538\) | 1.97767 | + | 18.8163i | 0.0852634 | + | 0.811227i | ||||
\(539\) | 7.28395 | + | 5.29210i | 0.313742 | + | 0.227947i | ||||
\(540\) | 9.79494 | + | 10.2085i | 0.421507 | + | 0.439305i | ||||
\(541\) | −1.25243 | + | 0.909945i | −0.0538462 | + | 0.0391216i | −0.614383 | − | 0.789008i | \(-0.710595\pi\) |
0.560537 | + | 0.828130i | \(0.310595\pi\) | |||||||
\(542\) | −4.81661 | − | 5.34939i | −0.206891 | − | 0.229776i | ||||
\(543\) | 23.1626 | − | 0.333142i | 0.994003 | − | 0.0142965i | ||||
\(544\) | 26.7394 | − | 5.68363i | 1.14644 | − | 0.243684i | ||||
\(545\) | 26.1838 | + | 12.0191i | 1.12159 | + | 0.514843i | ||||
\(546\) | −2.52159 | − | 0.498190i | −0.107914 | − | 0.0213206i | ||||
\(547\) | −18.4672 | − | 3.92532i | −0.789599 | − | 0.167834i | −0.204575 | − | 0.978851i | \(-0.565581\pi\) |
−0.585023 | + | 0.811016i | \(0.698915\pi\) | |||||||
\(548\) | 19.2475 | + | 13.9841i | 0.822213 | + | 0.597373i | ||||
\(549\) | −18.0076 | + | 33.3712i | −0.768547 | + | 1.42425i | ||||
\(550\) | −1.85585 | − | 6.19101i | −0.0791339 | − | 0.263985i | ||||
\(551\) | −21.2926 | + | 36.8799i | −0.907097 | + | 1.57114i | ||||
\(552\) | −0.290805 | + | 3.21032i | −0.0123775 | + | 0.136640i | ||||
\(553\) | 3.79639 | − | 4.21632i | 0.161439 | − | 0.179296i | ||||
\(554\) | −0.0525600 | + | 0.0583738i | −0.00223306 | + | 0.00248006i | ||||
\(555\) | 2.36499 | − | 23.1522i | 0.100388 | − | 0.982758i | ||||
\(556\) | −13.1139 | − | 14.5644i | −0.556152 | − | 0.617669i | ||||
\(557\) | −16.8643 | −0.714561 | −0.357281 | − | 0.933997i | \(-0.616296\pi\) | ||||
−0.357281 | + | 0.933997i | \(0.616296\pi\) | |||||||
\(558\) | 2.19648 | − | 7.48615i | 0.0929843 | − | 0.316914i | ||||
\(559\) | −5.96545 | + | 4.33416i | −0.252312 | + | 0.183315i | ||||
\(560\) | −0.0156621 | − | 0.167450i | −0.000661843 | − | 0.00707607i | ||||
\(561\) | 11.1758 | − | 5.16963i | 0.471843 | − | 0.218262i | ||||
\(562\) | 16.4246 | + | 7.31269i | 0.692829 | + | 0.308467i | ||||
\(563\) | −1.64115 | − | 0.730685i | −0.0691660 | − | 0.0307947i | 0.371862 | − | 0.928288i | \(-0.378719\pi\) |
−0.441028 | + | 0.897493i | \(0.645386\pi\) | |||||||
\(564\) | −9.27555 | − | 6.53736i | −0.390571 | − | 0.275273i | ||||
\(565\) | 1.52308 | + | 16.2839i | 0.0640764 | + | 0.685070i | ||||
\(566\) | 19.8990 | − | 14.4574i | 0.836416 | − | 0.607692i | ||||
\(567\) | 5.85988 | + | 5.79963i | 0.246092 | + | 0.243562i | ||||
\(568\) | 46.9404 | 1.96958 | ||||||||
\(569\) | −3.03944 | − | 3.37564i | −0.127420 | − | 0.141514i | 0.676059 | − | 0.736848i | \(-0.263687\pi\) |
−0.803479 | + | 0.595334i | \(0.797020\pi\) | |||||||
\(570\) | 18.3683 | + | 13.2635i | 0.769364 | + | 0.555547i | ||||
\(571\) | −26.9761 | + | 29.9600i | −1.12891 | + | 1.25379i | −0.165370 | + | 0.986232i | \(0.552882\pi\) |
−0.963543 | + | 0.267554i | \(0.913785\pi\) | |||||||
\(572\) | 2.18069 | − | 2.42190i | 0.0911792 | − | 0.101265i | ||||
\(573\) | 11.0899 | − | 5.12989i | 0.463287 | − | 0.214304i | ||||
\(574\) | 1.00269 | − | 1.73671i | 0.0418515 | − | 0.0724889i | ||||
\(575\) | −2.60040 | − | 1.98191i | −0.108444 | − | 0.0826514i | ||||
\(576\) | 15.3978 | − | 0.443016i | 0.641574 | − | 0.0184590i | ||||
\(577\) | −14.4803 | − | 10.5206i | −0.602824 | − | 0.437978i | 0.244056 | − | 0.969761i | \(-0.421522\pi\) |
−0.846880 | + | 0.531784i | \(0.821522\pi\) | |||||||
\(578\) | 5.76633 | + | 1.22567i | 0.239848 | + | 0.0509812i | ||||
\(579\) | 6.39405 | − | 7.31004i | 0.265727 | − | 0.303795i | ||||
\(580\) | −15.9331 | − | 7.31376i | −0.661586 | − | 0.303687i | ||||
\(581\) | −3.58853 | + | 0.762766i | −0.148877 | + | 0.0316449i | ||||
\(582\) | 4.72858 | + | 7.92472i | 0.196006 | + | 0.328490i | ||||
\(583\) | −10.9554 | − | 12.1672i | −0.453726 | − | 0.503914i | ||||
\(584\) | −5.74792 | + | 4.17611i | −0.237851 | + | 0.172809i | ||||
\(585\) | 8.37752 | + | 8.98646i | 0.346368 | + | 0.371545i | ||||
\(586\) | 7.41312 | + | 5.38595i | 0.306233 | + | 0.222491i | ||||
\(587\) | 4.04407 | + | 38.4768i | 0.166917 | + | 1.58811i | 0.682252 | + | 0.731117i | \(0.261001\pi\) |
−0.515335 | + | 0.856989i | \(0.672333\pi\) | |||||||
\(588\) | −1.54385 | − | 12.9011i | −0.0636673 | − | 0.532034i | ||||
\(589\) | −2.03255 | + | 19.3384i | −0.0837496 | + | 0.796824i | ||||
\(590\) | −1.93956 | − | 3.45012i | −0.0798504 | − | 0.142039i | ||||
\(591\) | −2.89317 | + | 2.16626i | −0.119009 | + | 0.0891079i | ||||
\(592\) | −0.330123 | − | 0.366639i | −0.0135680 | − | 0.0150688i | ||||
\(593\) | 0.135281 | 0.00555534 | 0.00277767 | − | 0.999996i | \(-0.499116\pi\) | ||||
0.00277767 | + | 0.999996i | \(0.499116\pi\) | |||||||
\(594\) | 6.50362 | − | 1.67856i | 0.266847 | − | 0.0688723i | ||||
\(595\) | −3.18766 | + | 9.44111i | −0.130681 | + | 0.387048i | ||||
\(596\) | 13.6709 | + | 2.90584i | 0.559982 | + | 0.119028i | ||||
\(597\) | 1.71337 | + | 5.02608i | 0.0701236 | + | 0.205704i | ||||
\(598\) | −0.110727 | + | 1.05350i | −0.00452798 | + | 0.0430808i | ||||
\(599\) | −0.290350 | − | 0.502901i | −0.0118634 | − | 0.0205480i | 0.860033 | − | 0.510239i | \(-0.170443\pi\) |
−0.871896 | + | 0.489691i | \(0.837110\pi\) | |||||||
\(600\) | −12.5055 | + | 21.2394i | −0.510534 | + | 0.867094i | ||||
\(601\) | 11.2892 | − | 19.5535i | 0.460496 | − | 0.797602i | −0.538490 | − | 0.842632i | \(-0.681005\pi\) |
0.998986 | + | 0.0450300i | \(0.0143383\pi\) | |||||||
\(602\) | −2.63926 | − | 1.91754i | −0.107568 | − | 0.0781529i | ||||
\(603\) | −16.5637 | + | 19.4954i | −0.674527 | + | 0.793914i | ||||
\(604\) | 5.43711 | + | 16.7337i | 0.221233 | + | 0.680885i | ||||
\(605\) | −19.3395 | − | 4.34293i | −0.786263 | − | 0.176565i | ||||
\(606\) | 5.80145 | − | 1.32062i | 0.235668 | − | 0.0536463i | ||||
\(607\) | 5.42862 | + | 9.40265i | 0.220341 | + | 0.381642i | 0.954912 | − | 0.296891i | \(-0.0959496\pi\) |
−0.734570 | + | 0.678532i | \(0.762616\pi\) | |||||||
\(608\) | −36.3531 | + | 7.72708i | −1.47431 | + | 0.313374i | ||||
\(609\) | −9.39215 | − | 4.02082i | −0.380589 | − | 0.162932i | ||||
\(610\) | −24.3923 | − | 5.47759i | −0.987615 | − | 0.221781i | ||||
\(611\) | −7.97238 | − | 5.79227i | −0.322528 | − | 0.234330i | ||||
\(612\) | −16.4349 | − | 6.75788i | −0.664343 | − | 0.273171i | ||||
\(613\) | 32.2624 | − | 23.4400i | 1.30307 | − | 0.946733i | 0.303086 | − | 0.952963i | \(-0.401983\pi\) |
0.999981 | + | 0.00623024i | \(0.00198316\pi\) | |||||||
\(614\) | 21.3377 | − | 9.50014i | 0.861118 | − | 0.383394i | ||||
\(615\) | −8.74523 | + | 3.92430i | −0.352642 | + | 0.158243i | ||||
\(616\) | 3.48074 | + | 1.54973i | 0.140243 | + | 0.0624403i | ||||
\(617\) | −25.4813 | + | 5.41621i | −1.02584 | + | 0.218048i | −0.689952 | − | 0.723855i | \(-0.742369\pi\) |
−0.335885 | + | 0.941903i | \(0.609035\pi\) | |||||||
\(618\) | 20.2933 | − | 0.291873i | 0.816315 | − | 0.0117409i | ||||
\(619\) | −6.20324 | − | 6.88940i | −0.249329 | − | 0.276908i | 0.605469 | − | 0.795869i | \(-0.292986\pi\) |
−0.854798 | + | 0.518961i | \(0.826319\pi\) | |||||||
\(620\) | −8.00456 | − | 0.0917241i | −0.321471 | − | 0.00368373i | ||||
\(621\) | 2.16257 | − | 2.62080i | 0.0867808 | − | 0.105169i | ||||
\(622\) | 2.22813 | + | 6.85748i | 0.0893399 | + | 0.274960i | ||||
\(623\) | 11.8079 | − | 5.25721i | 0.473073 | − | 0.210626i | ||||
\(624\) | 0.260420 | − | 0.00374556i | 0.0104252 | − | 0.000149942i | ||||
\(625\) | −11.4949 | − | 22.2006i | −0.459795 | − | 0.888025i | ||||
\(626\) | −12.8974 | − | 22.3389i | −0.515483 | − | 0.892843i | ||||
\(627\) | −15.1939 | + | 7.02828i | −0.606785 | + | 0.280683i | ||||
\(628\) | 26.8827 | + | 5.71409i | 1.07274 | + | 0.228017i | ||||
\(629\) | 9.03307 | + | 27.8009i | 0.360172 | + | 1.10850i | ||||
\(630\) | −2.63589 | + | 4.75361i | −0.105016 | + | 0.189388i | ||||
\(631\) | −2.38628 | + | 7.34421i | −0.0949963 | + | 0.292368i | −0.987253 | − | 0.159161i | \(-0.949121\pi\) |
0.892256 | + | 0.451529i | \(0.149121\pi\) | |||||||
\(632\) | −8.81340 | + | 15.2653i | −0.350578 | + | 0.607219i | ||||
\(633\) | 3.47135 | − | 0.790202i | 0.137974 | − | 0.0314077i | ||||
\(634\) | 8.70709 | + | 3.87665i | 0.345803 | + | 0.153961i | ||||
\(635\) | −2.84992 | + | 24.4201i | −0.113095 | + | 0.969081i | ||||
\(636\) | −2.13158 | + | 23.5314i | −0.0845228 | + | 0.933082i | ||||
\(637\) | −1.17942 | − | 11.2214i | −0.0467303 | − | 0.444609i | ||||
\(638\) | −6.73368 | + | 4.89231i | −0.266589 | + | 0.193688i | ||||
\(639\) | −40.8497 | − | 27.9201i | −1.61599 | − | 1.10450i | ||||
\(640\) | −4.46416 | − | 14.2945i | −0.176461 | − | 0.565042i | ||||
\(641\) | −3.03061 | − | 28.8343i | −0.119702 | − | 1.13889i | −0.875208 | − | 0.483746i | \(-0.839276\pi\) |
0.755507 | − | 0.655141i | \(-0.227391\pi\) | |||||||
\(642\) | −0.598815 | − | 0.646118i | −0.0236334 | − | 0.0255003i | ||||
\(643\) | −19.9683 | − | 34.5861i | −0.787473 | − | 1.36394i | −0.927511 | − | 0.373797i | \(-0.878056\pi\) |
0.140038 | − | 0.990146i | \(-0.455278\pi\) | |||||||
\(644\) | 0.713460 | − | 0.151651i | 0.0281143 | − | 0.00597587i | ||||
\(645\) | 4.86191 | + | 14.8159i | 0.191437 | + | 0.583376i | ||||
\(646\) | −27.8357 | − | 5.91667i | −1.09518 | − | 0.232788i | ||||
\(647\) | −1.22692 | − | 3.77608i | −0.0482353 | − | 0.148453i | 0.924038 | − | 0.382301i | \(-0.124868\pi\) |
−0.972273 | + | 0.233848i | \(0.924868\pi\) | |||||||
\(648\) | −21.5538 | − | 13.8394i | −0.846715 | − | 0.543664i | ||||
\(649\) | 2.92448 | 0.114796 | ||||||||
\(650\) | −4.20954 | + | 6.91992i | −0.165112 | + | 0.271422i | ||||
\(651\) | −4.66454 | + | 0.0670889i | −0.182818 | + | 0.00262942i | ||||
\(652\) | −2.09595 | + | 19.9416i | −0.0820836 | + | 0.780973i | ||||
\(653\) | −23.3941 | + | 25.9818i | −0.915483 | + | 1.01675i | 0.0843104 | + | 0.996440i | \(0.473131\pi\) |
−0.999794 | + | 0.0203078i | \(0.993535\pi\) | |||||||
\(654\) | −19.3650 | − | 3.82594i | −0.757232 | − | 0.149606i | ||||
\(655\) | −14.2666 | − | 16.2146i | −0.557444 | − | 0.633555i | ||||
\(656\) | −0.0627927 | + | 0.193256i | −0.00245164 | + | 0.00754538i | ||||
\(657\) | 7.48605 | − | 0.215385i | 0.292059 | − | 0.00840295i | ||||
\(658\) | 1.34726 | − | 4.14644i | 0.0525217 | − | 0.161645i | ||||
\(659\) | 2.85250 | + | 27.1397i | 0.111118 | + | 1.05721i | 0.897965 | + | 0.440066i | \(0.145045\pi\) |
−0.786848 | + | 0.617147i | \(0.788288\pi\) | |||||||
\(660\) | −3.46334 | − | 5.95839i | −0.134810 | − | 0.231930i | ||||
\(661\) | −3.82476 | + | 36.3902i | −0.148766 | + | 1.41541i | 0.624348 | + | 0.781146i | \(0.285365\pi\) |
−0.773114 | + | 0.634267i | \(0.781302\pi\) | |||||||
\(662\) | −12.1311 | − | 5.40109i | −0.471487 | − | 0.209919i | ||||
\(663\) | −14.1862 | − | 6.07316i | −0.550945 | − | 0.235862i | ||||
\(664\) | 10.4125 | − | 4.63595i | 0.404084 | − | 0.179910i | ||||
\(665\) | 4.33372 | − | 12.8355i | 0.168055 | − | 0.497739i | ||||
\(666\) | 2.12209 | + | 15.8033i | 0.0822294 | + | 0.612365i | ||||
\(667\) | −1.30113 | + | 4.00447i | −0.0503800 | + | 0.155054i | ||||
\(668\) | −12.5341 | + | 21.7098i | −0.484960 | + | 0.839976i | ||||
\(669\) | −26.7243 | − | 28.8354i | −1.03322 | − | 1.11484i | ||||
\(670\) | −15.3278 | − | 7.03592i | −0.592165 | − | 0.271821i | ||||
\(671\) | 12.3603 | − | 13.7275i | 0.477163 | − | 0.529943i | ||||
\(672\) | −2.87695 | − | 8.43940i | −0.110981 | − | 0.325557i | ||||
\(673\) | −23.0242 | + | 10.2510i | −0.887518 | + | 0.395148i | −0.799285 | − | 0.600952i | \(-0.794788\pi\) |
−0.0882323 | + | 0.996100i | \(0.528122\pi\) | |||||||
\(674\) | −1.17239 | −0.0451589 | ||||||||
\(675\) | 23.5160 | − | 11.0452i | 0.905132 | − | 0.425132i | ||||
\(676\) | 11.7450 | 0.451732 | ||||||||
\(677\) | 10.8854 | − | 4.84649i | 0.418360 | − | 0.186266i | −0.186751 | − | 0.982407i | \(-0.559796\pi\) |
0.605110 | + | 0.796142i | \(0.293129\pi\) | |||||||
\(678\) | −3.61560 | − | 10.6062i | −0.138856 | − | 0.407328i | ||||
\(679\) | 3.69227 | − | 4.10068i | 0.141696 | − | 0.157370i | ||||
\(680\) | 3.58861 | − | 30.7497i | 0.137617 | − | 1.17920i | ||||
\(681\) | 7.74678 | + | 8.35873i | 0.296857 | + | 0.320307i | ||||
\(682\) | −1.90025 | + | 3.29133i | −0.0727644 | + | 0.126032i | ||||
\(683\) | −10.9564 | + | 33.7204i | −0.419236 | + | 1.29028i | 0.489171 | + | 0.872188i | \(0.337299\pi\) |
−0.908407 | + | 0.418088i | \(0.862701\pi\) | |||||||
\(684\) | 22.3438 | + | 9.18755i | 0.854337 | + | 0.351295i | ||||
\(685\) | 35.6382 | − | 25.2739i | 1.36166 | − | 0.965664i | ||||
\(686\) | 9.74197 | − | 4.33741i | 0.371950 | − | 0.165603i | ||||
\(687\) | 10.3727 | + | 4.44059i | 0.395742 | + | 0.169419i | ||||
\(688\) | 0.301985 | + | 0.134452i | 0.0115131 | + | 0.00512594i | ||||
\(689\) | −2.14474 | + | 20.4059i | −0.0817082 | + | 0.777402i | ||||
\(690\) | 2.04911 | + | 0.905152i | 0.0780081 | + | 0.0344586i | ||||
\(691\) | −1.82303 | − | 17.3450i | −0.0693513 | − | 0.659834i | −0.972881 | − | 0.231307i | \(-0.925700\pi\) |
0.903529 | − | 0.428526i | \(-0.140967\pi\) | |||||||
\(692\) | −8.25774 | + | 25.4147i | −0.313912 | + | 0.966122i | ||||
\(693\) | −2.10733 | − | 3.41899i | −0.0800508 | − | 0.129877i | ||||
\(694\) | 2.17157 | − | 6.68341i | 0.0824317 | − | 0.253699i | ||||
\(695\) | −33.0446 | + | 14.2610i | −1.25345 | + | 0.540950i | ||||
\(696\) | 31.1391 | + | 6.15214i | 1.18032 | + | 0.233196i | ||||
\(697\) | 8.05612 | − | 8.94722i | 0.305147 | − | 0.338900i | ||||
\(698\) | −1.19926 | + | 11.4102i | −0.0453927 | + | 0.431882i | ||||
\(699\) | 6.44780 | − | 0.0927371i | 0.243878 | − | 0.00350764i | ||||
\(700\) | 5.42731 | + | 1.28427i | 0.205133 | + | 0.0485407i | ||||
\(701\) | −23.1265 | −0.873476 | −0.436738 | − | 0.899589i | \(-0.643866\pi\) | ||||
−0.436738 | + | 0.899589i | \(0.643866\pi\) | |||||||
\(702\) | −7.01695 | − | 4.64934i | −0.264838 | − | 0.175478i | ||||
\(703\) | −12.2808 | − | 37.7963i | −0.463177 | − | 1.42551i | ||||
\(704\) | −7.33993 | − | 1.56015i | −0.276634 | − | 0.0588004i | ||||
\(705\) | −16.8234 | + | 12.2982i | −0.633605 | + | 0.463177i | ||||
\(706\) | 3.80607 | − | 0.809004i | 0.143243 | − | 0.0304473i | ||||
\(707\) | −1.77885 | − | 3.08106i | −0.0669006 | − | 0.115875i | ||||
\(708\) | −2.86882 | − | 3.09544i | −0.107817 | − | 0.116334i | ||||
\(709\) | −1.08114 | − | 10.2864i | −0.0406030 | − | 0.386312i | −0.995886 | − | 0.0906180i | \(-0.971116\pi\) |
0.955283 | − | 0.295694i | \(-0.0955509\pi\) | |||||||
\(710\) | 10.4352 | − | 30.9067i | 0.391627 | − | 1.15991i | ||||
\(711\) | 16.7496 | − | 8.04233i | 0.628159 | − | 0.301611i | ||||
\(712\) | −32.4873 | + | 23.6034i | −1.21751 | + | 0.884574i | ||||
\(713\) | 0.200964 | + | 1.91205i | 0.00752618 | + | 0.0716068i | ||||
\(714\) | 0.615922 | − | 6.79942i | 0.0230503 | − | 0.254462i | ||||
\(715\) | −2.93283 | − | 5.21696i | −0.109682 | − | 0.195103i | ||||
\(716\) | 12.9163 | + | 5.75069i | 0.482703 | + | 0.214913i | ||||
\(717\) | 9.63862 | − | 2.19409i | 0.359961 | − | 0.0819398i | ||||
\(718\) | −6.05356 | + | 10.4851i | −0.225917 | + | 0.391300i | ||||
\(719\) | −11.2080 | + | 34.4945i | −0.417986 | + | 1.28643i | 0.491566 | + | 0.870840i | \(0.336425\pi\) |
−0.909552 | + | 0.415589i | \(0.863575\pi\) | |||||||
\(720\) | 0.161108 | − | 0.526680i | 0.00600413 | − | 0.0196282i | ||||
\(721\) | −3.75009 | − | 11.5416i | −0.139661 | − | 0.429832i | ||||
\(722\) | 21.4050 | + | 4.54978i | 0.796613 | + | 0.169325i | ||||
\(723\) | −46.9730 | + | 21.7285i | −1.74694 | + | 0.808091i | ||||
\(724\) | 8.14251 | + | 14.1032i | 0.302614 | + | 0.524143i | ||||
\(725\) | −22.0853 | + | 23.4256i | −0.820226 | + | 0.870005i | ||||
\(726\) | 13.5789 | − | 0.195302i | 0.503961 | − | 0.00724834i | ||||
\(727\) | −18.3260 | + | 8.15926i | −0.679674 | + | 0.302610i | −0.717383 | − | 0.696679i | \(-0.754660\pi\) |
0.0377098 | + | 0.999289i | \(0.487994\pi\) | |||||||
\(728\) | −1.47553 | − | 4.54121i | −0.0546867 | − | 0.168309i | ||||
\(729\) | 10.5255 | + | 24.8639i | 0.389833 | + | 0.920886i | ||||
\(730\) | 1.47185 | + | 4.71296i | 0.0544755 | + | 0.174434i | ||||
\(731\) | −13.1055 | − | 14.5551i | −0.484724 | − | 0.538341i | ||||
\(732\) | −26.6549 | + | 0.383371i | −0.985194 | + | 0.0141698i | ||||
\(733\) | 28.4700 | − | 6.05149i | 1.05156 | − | 0.223517i | 0.350461 | − | 0.936577i | \(-0.386025\pi\) |
0.701103 | + | 0.713060i | \(0.252692\pi\) | |||||||
\(734\) | −4.23569 | − | 1.88585i | −0.156342 | − | 0.0696081i | ||||
\(735\) | −23.3537 | − | 4.89268i | −0.861415 | − | 0.180469i | ||||
\(736\) | −3.35696 | + | 1.49461i | −0.123739 | + | 0.0550922i | ||||
\(737\) | 10.0818 | − | 7.32486i | 0.371368 | − | 0.269815i | ||||
\(738\) | 5.19988 | − | 4.01139i | 0.191410 | − | 0.147661i | ||||
\(739\) | −13.5848 | − | 9.86991i | −0.499724 | − | 0.363071i | 0.309188 | − | 0.951001i | \(-0.399943\pi\) |
−0.808912 | + | 0.587930i | \(0.799943\pi\) | |||||||
\(740\) | 15.0215 | − | 6.48282i | 0.552203 | − | 0.238313i | ||||
\(741\) | 19.2865 | + | 8.25666i | 0.708509 | + | 0.303316i | ||||
\(742\) | −8.87941 | + | 1.88738i | −0.325973 | + | 0.0692878i | ||||
\(743\) | −22.2483 | − | 38.5352i | −0.816211 | − | 1.41372i | −0.908455 | − | 0.417983i | \(-0.862737\pi\) |
0.0922434 | − | 0.995736i | \(-0.470596\pi\) | |||||||
\(744\) | 14.1318 | − | 3.21689i | 0.518096 | − | 0.117937i | ||||
\(745\) | 13.0869 | − | 22.0791i | 0.479468 | − | 0.808914i | ||||
\(746\) | −2.31660 | − | 7.12976i | −0.0848168 | − | 0.261039i | ||||
\(747\) | −11.8189 | − | 2.15894i | −0.432431 | − | 0.0789914i | ||||
\(748\) | 7.00321 | + | 5.08813i | 0.256063 | + | 0.186040i | ||||
\(749\) | −0.263377 | + | 0.456182i | −0.00962357 | + | 0.0166685i | ||||
\(750\) | 11.2045 | + | 12.9556i | 0.409129 | + | 0.473071i | ||||
\(751\) | −18.8265 | − | 32.6085i | −0.686990 | − | 1.18990i | −0.972807 | − | 0.231617i | \(-0.925598\pi\) |
0.285817 | − | 0.958284i | \(-0.407735\pi\) | |||||||
\(752\) | −0.0461779 | + | 0.439353i | −0.00168393 | + | 0.0160216i | ||||
\(753\) | −2.24054 | − | 6.57251i | −0.0816498 | − | 0.239516i | ||||
\(754\) | 10.2029 | + | 2.16869i | 0.371567 | + | 0.0789790i | ||||
\(755\) | 32.3092 | + | 0.370231i | 1.17585 | + | 0.0134741i | ||||
\(756\) | −1.55163 | + | 5.58443i | −0.0564324 | + | 0.203104i | ||||
\(757\) | 23.9415 | 0.870167 | 0.435084 | − | 0.900390i | \(-0.356719\pi\) | ||||
0.435084 | + | 0.900390i | \(0.356719\pi\) | |||||||
\(758\) | 15.2668 | + | 16.9556i | 0.554517 | + | 0.615853i | ||||
\(759\) | −1.32496 | + | 0.992063i | −0.0480930 | + | 0.0360096i | ||||
\(760\) | −4.87883 | + | 41.8052i | −0.176974 | + | 1.51643i | ||||
\(761\) | −2.60057 | + | 24.7428i | −0.0942706 | + | 0.896924i | 0.840533 | + | 0.541760i | \(0.182242\pi\) |
−0.934804 | + | 0.355164i | \(0.884425\pi\) | |||||||
\(762\) | −2.00150 | − | 16.7255i | −0.0725067 | − | 0.605899i | ||||
\(763\) | 1.23376 | + | 11.7384i | 0.0446650 | + | 0.424959i | ||||
\(764\) | 6.94938 | + | 5.04902i | 0.251420 | + | 0.182667i | ||||
\(765\) | −21.4129 | + | 24.6253i | −0.774184 | + | 0.890330i | ||||
\(766\) | −5.45840 | + | 3.96576i | −0.197220 | + | 0.143289i | ||||
\(767\) | −2.45236 | − | 2.72362i | −0.0885494 | − | 0.0983441i | ||||
\(768\) | 14.3716 | + | 24.0856i | 0.518590 | + | 0.869115i | ||||
\(769\) | −20.7844 | + | 4.41785i | −0.749503 | + | 0.159312i | −0.566799 | − | 0.823856i | \(-0.691818\pi\) |
−0.182704 | + | 0.983168i | \(0.558485\pi\) | |||||||
\(770\) | 1.79418 | − | 1.94729i | 0.0646576 | − | 0.0701755i | ||||
\(771\) | 11.9330 | − | 13.6425i | 0.429758 | − | 0.491323i | ||||
\(772\) | 6.67826 | + | 1.41951i | 0.240356 | + | 0.0510892i | ||||
\(773\) | −4.02099 | − | 2.92142i | −0.144625 | − | 0.105076i | 0.513120 | − | 0.858317i | \(-0.328490\pi\) |
−0.657745 | + | 0.753241i | \(0.728490\pi\) | |||||||
\(774\) | −5.60568 | − | 9.09481i | −0.201492 | − | 0.326906i | ||||
\(775\) | −4.86191 | + | 13.8733i | −0.174645 | + | 0.498344i | ||||
\(776\) | −8.57167 | + | 14.8466i | −0.307705 | + | 0.532961i | ||||
\(777\) | 8.65338 | − | 4.00283i | 0.310438 | − | 0.143601i | ||||
\(778\) | 21.0159 | − | 23.3405i | 0.753456 | − | 0.836797i | ||||
\(779\) | −10.9525 | + | 12.1640i | −0.392416 | + | 0.435822i | ||||
\(780\) | −2.64492 | + | 8.22193i | −0.0947033 | + | 0.294392i | ||||
\(781\) | 16.1283 | + | 17.9122i | 0.577114 | + | 0.640951i | ||||
\(782\) | −2.81370 | −0.100618 | ||||||||
\(783\) | −23.4394 | − | 23.8754i | −0.837655 | − | 0.853237i | ||||
\(784\) | −0.409223 | + | 0.297318i | −0.0146151 | + | 0.0106185i | ||||
\(785\) | 25.7344 | − | 43.4166i | 0.918499 | − | 1.54961i | ||||
\(786\) | 12.0951 | + | 8.52458i | 0.431419 | + | 0.304062i | ||||
\(787\) | 43.9427 | + | 19.5646i | 1.56639 | + | 0.697401i | 0.992581 | − | 0.121589i | \(-0.0387990\pi\) |
0.573808 | + | 0.818990i | \(0.305466\pi\) | |||||||
\(788\) | −2.32118 | − | 1.03346i | −0.0826886 | − | 0.0368153i | ||||
\(789\) | −15.7519 | + | 7.28643i | −0.560784 | + | 0.259404i | ||||
\(790\) | 8.09174 | + | 9.19655i | 0.287891 | + | 0.327199i | ||||
\(791\) | −5.42066 | + | 3.93834i | −0.192736 | + | 0.140031i | ||||
\(792\) | 8.61243 | + | 9.02878i | 0.306030 | + | 0.320824i | ||||
\(793\) | −23.1494 | −0.822060 | ||||||||
\(794\) | −16.0587 | − | 17.8350i | −0.569902 | − | 0.632941i | ||||
\(795\) | 39.6903 | + | 17.5324i | 1.40767 | + | 0.621811i | ||||
\(796\) | −2.49787 | + | 2.77416i | −0.0885346 | + | 0.0983276i | ||||
\(797\) | 3.58369 | − | 3.98009i | 0.126941 | − | 0.140982i | −0.676324 | − | 0.736605i | \(-0.736428\pi\) |
0.803264 | + | 0.595623i | \(0.203095\pi\) | |||||||
\(798\) | −0.837366 | + | 9.24403i | −0.0296424 | + | 0.327235i | ||||
\(799\) | 13.0875 | − | 22.6682i | 0.463003 | − | 0.801944i | ||||
\(800\) | −28.0900 | − | 0.643850i | −0.993130 | − | 0.0227635i | ||||
\(801\) | 42.3112 | − | 1.21735i | 1.49499 | − | 0.0430131i | ||||
\(802\) | −16.4660 | − | 11.9632i | −0.581434 | − | 0.422437i | ||||
\(803\) | −3.56851 | − | 0.758510i | −0.125930 | − | 0.0267673i | ||||
\(804\) | −17.6430 | − | 3.48572i | −0.622220 | − | 0.122932i | ||||
\(805\) | 0.155268 | − | 1.33044i | 0.00547247 | − | 0.0468920i | ||||
\(806\) | 4.65875 | − | 0.990247i | 0.164097 | − | 0.0348800i | ||||
\(807\) | 37.0450 | − | 0.532809i | 1.30405 | − | 0.0187558i | ||||
\(808\) | 7.39595 | + | 8.21403i | 0.260189 | + | 0.288969i | ||||
\(809\) | 8.50974 | − | 6.18268i | 0.299186 | − | 0.217372i | −0.428056 | − | 0.903752i | \(-0.640801\pi\) |
0.727243 | + | 0.686380i | \(0.240801\pi\) | |||||||
\(810\) | −13.9038 | + | 11.1150i | −0.488530 | + | 0.390541i | ||||
\(811\) | 14.8190 | + | 10.7667i | 0.520367 | + | 0.378068i | 0.816742 | − | 0.577003i | \(-0.195778\pi\) |
−0.296375 | + | 0.955072i | \(0.595778\pi\) | |||||||
\(812\) | −0.750754 | − | 7.14295i | −0.0263463 | − | 0.250668i | ||||
\(813\) | −11.2833 | + | 8.44838i | −0.395723 | + | 0.296298i | ||||
\(814\) | 0.811919 | − | 7.72489i | 0.0284577 | − | 0.270757i | ||||
\(815\) | 33.4653 | + | 15.3615i | 1.17224 | + | 0.538092i | ||||
\(816\) | 0.0821990 | + | 0.686893i | 0.00287754 | + | 0.0240460i | ||||
\(817\) | 17.8173 | + | 19.7882i | 0.623350 | + | 0.692300i | ||||
\(818\) | −16.0378 | −0.560747 | ||||||||
\(819\) | −1.41704 | + | 4.82962i | −0.0495152 | + | 0.168760i | ||||
\(820\) | −5.40583 | − | 4.02301i | −0.188780 | − | 0.140490i | ||||
\(821\) | 47.7890 | + | 10.1579i | 1.66785 | + | 0.354512i | 0.942586 | − | 0.333963i | \(-0.108386\pi\) |
0.725261 | + | 0.688474i | \(0.241719\pi\) | |||||||
\(822\) | −19.7078 | + | 22.5311i | −0.687390 | + | 0.785864i | ||||
\(823\) | 1.51205 | − | 14.3861i | 0.0527066 | − | 0.501470i | −0.936043 | − | 0.351887i | \(-0.885540\pi\) |
0.988749 | − | 0.149583i | \(-0.0477931\pi\) | |||||||
\(824\) | 18.8514 | + | 32.6515i | 0.656718 | + | 1.13747i | ||||
\(825\) | −12.4016 | + | 2.52561i | −0.431768 | + | 0.0879303i | ||||
\(826\) | 0.810740 | − | 1.40424i | 0.0282092 | − | 0.0488598i | ||||
\(827\) | −15.1725 | − | 11.0234i | −0.527598 | − | 0.383322i | 0.291861 | − | 0.956461i | \(-0.405726\pi\) |
−0.819458 | + | 0.573139i | \(0.805726\pi\) | |||||||
\(828\) | 2.34980 | + | 0.429233i | 0.0816611 | + | 0.0149169i | ||||
\(829\) | 1.12241 | + | 3.45444i | 0.0389830 | + | 0.119977i | 0.968654 | − | 0.248413i | \(-0.0799090\pi\) |
−0.929671 | + | 0.368390i | \(0.879909\pi\) | |||||||
\(830\) | −0.737642 | − | 7.88647i | −0.0256039 | − | 0.273743i | ||||
\(831\) | 0.104556 | + | 0.112815i | 0.00362700 | + | 0.00391351i | ||||
\(832\) | 4.70198 | + | 8.14408i | 0.163012 | + | 0.282345i | ||||
\(833\) | 29.3153 | − | 6.23116i | 1.01572 | − | 0.215897i | ||||
\(834\) | 19.7388 | − | 14.7794i | 0.683498 | − | 0.511769i | ||||
\(835\) | 30.4097 | + | 34.5618i | 1.05237 | + | 1.19606i | ||||
\(836\) | −9.52109 | − | 6.91748i | −0.329294 | − | 0.239246i | ||||
\(837\) | −14.2115 | − | 5.60608i | −0.491222 | − | 0.193775i | ||||
\(838\) | −2.31521 | + | 1.68210i | −0.0799776 | + | 0.0581071i | ||||
\(839\) | 10.7379 | − | 4.78083i | 0.370714 | − | 0.165052i | −0.212920 | − | 0.977070i | \(-0.568297\pi\) |
0.583633 | + | 0.812017i | \(0.301631\pi\) | |||||||
\(840\) | −10.0975 | + | 0.0295178i | −0.348397 | + | 0.00101846i | ||||
\(841\) | 11.3834 | + | 5.06822i | 0.392532 | + | 0.174766i | ||||
\(842\) | −9.00262 | + | 1.91357i | −0.310251 | + | 0.0659458i | ||||
\(843\) | 17.1628 | − | 30.7395i | 0.591118 | − | 1.05872i | ||||
\(844\) | 1.67469 | + | 1.85994i | 0.0576454 | + | 0.0640217i | ||||
\(845\) | 6.89968 | − | 20.4353i | 0.237356 | − | 0.702995i | ||||
\(846\) | 9.24462 | − | 10.8809i | 0.317837 | − | 0.374092i | ||||
\(847\) | −2.50931 | − | 7.72287i | −0.0862210 | − | 0.265361i | ||||
\(848\) | 0.840311 | − | 0.374130i | 0.0288564 | − | 0.0128477i | ||||
\(849\) | −24.6797 | − | 41.3612i | −0.847005 | − | 1.41951i | ||||
\(850\) | −19.4486 | − | 9.19873i | −0.667081 | − | 0.315514i | ||||
\(851\) | −1.96468 | − | 3.40292i | −0.0673483 | − | 0.116651i | ||||
\(852\) | 3.13806 | − | 34.6424i | 0.107508 | − | 1.18683i | ||||
\(853\) | 44.4770 | + | 9.45388i | 1.52286 | + | 0.323695i | 0.891941 | − | 0.452151i | \(-0.149343\pi\) |
0.630923 | + | 0.775846i | \(0.282677\pi\) | |||||||
\(854\) | −3.16491 | − | 9.74060i | −0.108301 | − | 0.333316i | ||||
\(855\) | 29.1115 | − | 33.4789i | 0.995592 | − | 1.14495i | ||||
\(856\) | 0.505711 | − | 1.55642i | 0.0172849 | − | 0.0531973i | ||||
\(857\) | 15.6168 | − | 27.0491i | 0.533460 | − | 0.923980i | −0.465776 | − | 0.884903i | \(-0.654225\pi\) |
0.999236 | − | 0.0390776i | \(-0.0124419\pi\) | |||||||
\(858\) | 2.78728 | + | 3.00746i | 0.0951562 | + | 0.102673i | ||||
\(859\) | −28.5380 | − | 12.7059i | −0.973704 | − | 0.433521i | −0.142687 | − | 0.989768i | \(-0.545574\pi\) |
−0.831017 | + | 0.556247i | \(0.812241\pi\) | |||||||
\(860\) | −7.42791 | + | 8.06182i | −0.253290 | + | 0.274906i | ||||
\(861\) | −3.20981 | − | 2.26226i | −0.109390 | − | 0.0770976i | ||||
\(862\) | 1.84978 | + | 17.5995i | 0.0630038 | + | 0.599442i | ||||
\(863\) | −7.17033 | + | 5.20955i | −0.244081 | + | 0.177335i | −0.703099 | − | 0.711092i | \(-0.748201\pi\) |
0.459019 | + | 0.888427i | \(0.348201\pi\) | |||||||
\(864\) | 1.79682 | − | 29.1443i | 0.0611289 | − | 0.991508i | ||||
\(865\) | 39.3682 | + | 29.2977i | 1.33856 | + | 0.996152i | ||||
\(866\) | −0.388058 | − | 3.69212i | −0.0131867 | − | 0.125463i | ||||
\(867\) | 3.40898 | − | 11.0290i | 0.115775 | − | 0.374565i | ||||
\(868\) | −1.63976 | − | 2.84014i | −0.0556570 | − | 0.0964007i | ||||
\(869\) | −8.85335 | + | 1.88184i | −0.300329 | + | 0.0638369i | ||||
\(870\) | 10.9732 | − | 19.1351i | 0.372026 | − | 0.648740i | ||||
\(871\) | −15.2760 | − | 3.24701i | −0.517607 | − | 0.110021i | ||||
\(872\) | −11.3316 | − | 34.8751i | −0.383736 | − | 1.18102i | ||||
\(873\) | 16.2902 | − | 7.82175i | 0.551339 | − | 0.264726i | ||||
\(874\) | 3.82531 | 0.129393 | ||||||||
\(875\) | 5.42280 | − | 8.68857i | 0.183324 | − | 0.293727i | ||||
\(876\) | 2.69774 | + | 4.52119i | 0.0911481 | + | 0.152757i | ||||
\(877\) | −0.186003 | + | 1.76970i | −0.00628086 | + | 0.0597584i | −0.997213 | − | 0.0746021i | \(-0.976231\pi\) |
0.990933 | + | 0.134360i | \(0.0428980\pi\) | |||||||
\(878\) | −19.1458 | + | 21.2636i | −0.646139 | + | 0.717610i | ||||
\(879\) | 11.8133 | − | 13.5056i | 0.398453 | − | 0.455534i | ||||
\(880\) | −0.136803 | + | 0.230802i | −0.00461164 | + | 0.00778034i | ||||
\(881\) | 8.34381 | − | 25.6796i | 0.281110 | − | 0.865168i | −0.706428 | − | 0.707785i | \(-0.749694\pi\) |
0.987538 | − | 0.157382i | \(-0.0503055\pi\) | |||||||
\(882\) | 16.3412 | − | 0.470161i | 0.550238 | − | 0.0158312i | ||||
\(883\) | −0.231224 | + | 0.711635i | −0.00778131 | + | 0.0239484i | −0.954872 | − | 0.297018i | \(-0.904008\pi\) |
0.947090 | + | 0.320967i | \(0.104008\pi\) | |||||||
\(884\) | −1.13396 | − | 10.7889i | −0.0381392 | − | 0.362870i | ||||
\(885\) | −7.07108 | + | 3.17305i | −0.237692 | + | 0.106661i | ||||
\(886\) | 0.163046 | − | 1.55128i | 0.00547763 | − | 0.0521162i | ||||
\(887\) | −29.8287 | − | 13.2806i | −1.00155 | − | 0.445919i | −0.160593 | − | 0.987021i | \(-0.551341\pi\) |
−0.840957 | + | 0.541102i | \(0.818007\pi\) | |||||||
\(888\) | −23.7112 | + | 17.7538i | −0.795697 | + | 0.595778i | ||||
\(889\) | −9.20149 | + | 4.09677i | −0.308608 | + | 0.137401i | ||||
\(890\) | 8.31888 | + | 26.6376i | 0.278850 | + | 0.892896i | ||||
\(891\) | −2.12463 | − | 12.9799i | −0.0711777 | − | 0.434844i | ||||
\(892\) | 8.54075 | − | 26.2857i | 0.285966 | − | 0.880112i | ||||
\(893\) | −17.7929 | + | 30.8182i | −0.595416 | + | 1.03129i | ||||
\(894\) | −5.19298 | + | 16.8007i | −0.173679 | + | 0.561901i | ||||
\(895\) | 17.5934 | − | 19.0948i | 0.588082 | − | 0.638270i | ||||
\(896\) | 4.10519 | − | 4.55927i | 0.137145 | − | 0.152315i | ||||
\(897\) | 2.03498 | + | 0.402051i | 0.0679461 | + | 0.0134241i | ||||
\(898\) | −3.28204 | + | 1.46126i | −0.109523 | + | 0.0487629i | ||||
\(899\) | 18.9314 | 0.631398 | ||||||||
\(900\) | 14.8388 | + | 10.6490i | 0.494627 | + | 0.354968i | ||||
\(901\) | −54.5001 | −1.81566 | ||||||||
\(902\) | −2.92260 | + | 1.30123i | −0.0973120 | + | 0.0433261i | ||||
\(903\) | −4.20584 | + | 4.80836i | −0.139962 | + | 0.160012i | ||||
\(904\) | 13.9290 | − | 15.4697i | 0.463270 | − | 0.514514i | ||||
\(905\) | 29.3217 | − | 5.88220i | 0.974687 | − | 0.195531i | ||||
\(906\) | −21.5857 | + | 4.91365i | −0.717135 | + | 0.163245i | ||||
\(907\) | −9.80283 | + | 16.9790i | −0.325498 | + | 0.563778i | −0.981613 | − | 0.190882i | \(-0.938865\pi\) |
0.656115 | + | 0.754661i | \(0.272198\pi\) | |||||||
\(908\) | −2.47577 | + | 7.61964i | −0.0821614 | + | 0.252867i | ||||
\(909\) | −1.55060 | − | 11.5473i | −0.0514300 | − | 0.383001i | ||||
\(910\) | −3.31807 | − | 0.0380217i | −0.109993 | − | 0.00126041i | ||||
\(911\) | −6.69634 | + | 2.98140i | −0.221860 | + | 0.0987782i | −0.514657 | − | 0.857396i | \(-0.672081\pi\) |
0.292797 | + | 0.956175i | \(0.405414\pi\) | |||||||
\(912\) | −0.111752 | − | 0.933853i | −0.00370048 | − | 0.0309229i | ||||
\(913\) | 5.34669 | + | 2.38050i | 0.176950 | + | 0.0787831i | ||||
\(914\) | 3.25729 | − | 30.9910i | 0.107741 | − | 1.02509i | ||||
\(915\) | −14.9915 | + | 46.6023i | −0.495605 | + | 1.54063i | ||||
\(916\) | 0.829132 | + | 7.88866i | 0.0273953 | + | 0.260649i | ||||
\(917\) | 2.73419 | − | 8.41496i | 0.0902908 | − | 0.277886i | ||||
\(918\) | 10.3336 | − | 19.8270i | 0.341059 | − | 0.654389i | ||||
\(919\) | −0.919198 | + | 2.82900i | −0.0303215 | + | 0.0933201i | −0.965072 | − | 0.261985i | \(-0.915623\pi\) |
0.934750 | + | 0.355305i | \(0.115623\pi\) | |||||||
\(920\) | 0.387542 | + | 4.14339i | 0.0127769 | + | 0.136603i | ||||
\(921\) | −14.7578 | − | 43.2911i | −0.486285 | − | 1.42649i | ||||
\(922\) | 0.00404069 | − | 0.00448764i | 0.000133073 | − | 0.000147793i | ||||
\(923\) | 3.15744 | − | 30.0410i | 0.103928 | − | 0.988812i | ||||
\(924\) | 1.37640 | − | 2.46521i | 0.0452804 | − | 0.0810995i | ||||
\(925\) | −2.45502 | − | 29.9445i | −0.0807206 | − | 0.984568i | ||||
\(926\) | −25.8551 | −0.849652 | ||||||||
\(927\) | 3.01577 | − | 39.6276i | 0.0990508 | − | 1.30154i | ||||
\(928\) | 11.1814 | + | 34.4128i | 0.367047 | + | 1.12966i | ||||
\(929\) | 0.682954 | + | 0.145166i | 0.0224070 | + | 0.00476275i | 0.219102 | − | 0.975702i | \(-0.429687\pi\) |
−0.196695 | + | 0.980465i | \(0.563021\pi\) | |||||||
\(930\) | 1.02352 | − | 10.0199i | 0.0335627 | − | 0.328564i | ||||
\(931\) | −39.8551 | + | 8.47146i | −1.30620 | + | 0.277641i | ||||
\(932\) | 2.26664 | + | 3.92593i | 0.0742462 | + | 0.128598i | ||||
\(933\) | 13.7671 | − | 3.13388i | 0.450716 | − | 0.102599i | ||||
\(934\) | −1.57337 | − | 14.9696i | −0.0514822 | − | 0.489821i | ||||
\(935\) | 12.9670 | − | 9.19590i | 0.424065 | − | 0.300738i | ||||
\(936\) | 1.18660 | − | 15.5921i | 0.0387852 | − | 0.509643i | ||||
\(937\) | −6.03529 | + | 4.38490i | −0.197164 | + | 0.143248i | −0.681987 | − | 0.731364i | \(-0.738884\pi\) |
0.484823 | + | 0.874612i | \(0.338884\pi\) | |||||||
\(938\) | −0.722234 | − | 6.87160i | −0.0235818 | − | 0.224366i | ||||
\(939\) | −45.8440 | + | 21.2062i | −1.49606 | + | 0.692038i | ||||
\(940\) | −13.3143 | − | 6.11164i | −0.434263 | − | 0.199340i | ||||
\(941\) | 34.9240 | + | 15.5492i | 1.13849 | + | 0.506888i | 0.887366 | − | 0.461067i | \(-0.152533\pi\) |
0.251124 | + | 0.967955i | \(0.419200\pi\) | |||||||
\(942\) | −10.2116 | + | 33.0372i | −0.332711 | + | 1.07641i | ||||
\(943\) | −0.809195 | + | 1.40157i | −0.0263510 | + | 0.0456413i | ||||
\(944\) | −0.0507719 | + | 0.156260i | −0.00165249 | + | 0.00508583i | ||||
\(945\) | 8.80488 | + | 5.98030i | 0.286423 | + | 0.194539i | ||||
\(946\) | 1.60824 | + | 4.94964i | 0.0522883 | + | 0.160927i | ||||
\(947\) | 15.0237 | + | 3.19339i | 0.488206 | + | 0.103771i | 0.445436 | − | 0.895314i | \(-0.353049\pi\) |
0.0427694 | + | 0.999085i | \(0.486382\pi\) | |||||||
\(948\) | 10.6767 | + | 7.52487i | 0.346762 | + | 0.244396i | ||||
\(949\) | 2.28600 | + | 3.95947i | 0.0742067 | + | 0.128530i | ||||
\(950\) | 26.4410 | + | 12.5060i | 0.857859 | + | 0.405747i | ||||
\(951\) | 9.09845 | − | 16.2958i | 0.295037 | − | 0.528427i | ||||
\(952\) | 11.5865 | − | 5.15864i | 0.375521 | − | 0.167193i | ||||
\(953\) | −12.6455 | − | 38.9188i | −0.409628 | − | 1.26070i | −0.916969 | − | 0.398959i | \(-0.869372\pi\) |
0.507341 | − | 0.861745i | \(-0.330628\pi\) | |||||||
\(954\) | −29.2445 | − | 5.34204i | −0.946827 | − | 0.172955i | ||||
\(955\) | 12.8673 | − | 9.12521i | 0.416375 | − | 0.295285i | ||||
\(956\) | 4.64999 | + | 5.16434i | 0.150391 | + | 0.167027i | ||||
\(957\) | 8.35145 | + | 13.9963i | 0.269964 | + | 0.452438i | ||||
\(958\) | −34.1431 | + | 7.25735i | −1.10311 | + | 0.234474i | ||||
\(959\) | 16.3516 | + | 7.28019i | 0.528020 | + | 0.235089i | ||||
\(960\) | 19.4399 | − | 4.19151i | 0.627421 | − | 0.135281i | ||||
\(961\) | −20.4230 | + | 9.09289i | −0.658805 | + | 0.293319i | ||||
\(962\) | −7.87516 | + | 5.72164i | −0.253905 | + | 0.184473i | ||||
\(963\) | −1.36585 | + | 1.05367i | −0.0440139 | + | 0.0339541i | ||||
\(964\) | −29.4352 | − | 21.3859i | −0.948043 | − | 0.688794i | ||||
\(965\) | 6.39299 | − | 10.7857i | 0.205798 | − | 0.347203i | ||||
\(966\) | 0.109045 | + | 0.911228i | 0.00350846 | + | 0.0293183i | ||||
\(967\) | 16.3259 | − | 3.47018i | 0.525007 | − | 0.111594i | 0.0622185 | − | 0.998063i | \(-0.480182\pi\) |
0.462788 | + | 0.886469i | \(0.346849\pi\) | |||||||
\(968\) | 12.6141 | + | 21.8482i | 0.405432 | + | 0.702229i | ||||
\(969\) | −16.4562 | + | 53.2402i | −0.528648 | + | 1.71032i | ||||
\(970\) | 7.86980 | + | 8.94431i | 0.252684 | + | 0.287184i | ||||
\(971\) | −10.2477 | − | 31.5391i | −0.328863 | − | 1.01214i | −0.969667 | − | 0.244432i | \(-0.921399\pi\) |
0.640803 | − | 0.767705i | \(-0.278601\pi\) | |||||||
\(972\) | −11.6545 | + | 14.9817i | −0.373819 | + | 0.480538i | ||||
\(973\) | −11.9286 | − | 8.66664i | −0.382414 | − | 0.277840i | ||||
\(974\) | 2.71298 | − | 4.69902i | 0.0869295 | − | 0.150566i | ||||
\(975\) | 12.7516 | + | 9.43194i | 0.408379 | + | 0.302064i | ||||
\(976\) | 0.518895 | + | 0.898752i | 0.0166094 | + | 0.0287684i | ||||
\(977\) | 2.04222 | − | 19.4304i | 0.0653363 | − | 0.621633i | −0.912036 | − | 0.410109i | \(-0.865491\pi\) |
0.977373 | − | 0.211524i | \(-0.0678427\pi\) | |||||||
\(978\) | −24.7503 | − | 4.88991i | −0.791427 | − | 0.156362i | ||||
\(979\) | −20.1692 | − | 4.28710i | −0.644612 | − | 0.137016i | ||||
\(980\) | −5.00035 | − | 16.0115i | −0.159730 | − | 0.511468i | ||||
\(981\) | −10.8824 | + | 37.0899i | −0.347448 | + | 1.18419i | ||||
\(982\) | 36.6619 | 1.16993 | ||||||||
\(983\) | 22.9263 | + | 25.4622i | 0.731234 | + | 0.812117i | 0.988016 | − | 0.154352i | \(-0.0493289\pi\) |
−0.256782 | + | 0.966469i | \(0.582662\pi\) | |||||||
\(984\) | 11.2156 | + | 4.80145i | 0.357541 | + | 0.153065i | ||||
\(985\) | −3.16171 | + | 3.43153i | −0.100740 | + | 0.109338i | ||||
\(986\) | −2.89608 | + | 27.5543i | −0.0922298 | + | 0.877508i | ||||
\(987\) | −7.84842 | − | 3.35994i | −0.249818 | − | 0.106948i | ||||
\(988\) | 1.54166 | + | 14.6679i | 0.0490466 | + | 0.466647i | ||||
\(989\) | 2.12995 | + | 1.54750i | 0.0677284 | + | 0.0492075i | ||||
\(990\) | 7.85939 | − | 3.66347i | 0.249788 | − | 0.116433i | ||||
\(991\) | 1.53877 | − | 1.11799i | 0.0488808 | − | 0.0355140i | −0.563077 | − | 0.826405i | \(-0.690382\pi\) |
0.611957 | + | 0.790891i | \(0.290382\pi\) | |||||||
\(992\) | 11.0553 | + | 12.2782i | 0.351006 | + | 0.389832i | ||||
\(993\) | −12.6763 | + | 22.7039i | −0.402271 | + | 0.720487i | ||||
\(994\) | 13.0720 | − | 2.77855i | 0.414620 | − | 0.0881302i | ||||
\(995\) | 3.35940 | + | 5.97576i | 0.106500 | + | 0.189444i | ||||
\(996\) | −2.72527 | − | 7.99444i | −0.0863534 | − | 0.253313i | ||||
\(997\) | −37.4240 | − | 7.95471i | −1.18523 | − | 0.251928i | −0.427205 | − | 0.904155i | \(-0.640502\pi\) |
−0.758024 | + | 0.652226i | \(0.773835\pi\) | |||||||
\(998\) | 30.7812 | + | 22.3639i | 0.974363 | + | 0.707916i | ||||
\(999\) | 31.1946 | − | 1.34673i | 0.986952 | − | 0.0426088i |
(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 | 225.2.q.a.16.12 | ✓ | 224 | |
3.2 | odd | 2 | 675.2.r.a.316.17 | 224 | |||
9.4 | even | 3 | inner | 225.2.q.a.166.17 | yes | 224 | |
9.5 | odd | 6 | 675.2.r.a.91.12 | 224 | |||
25.11 | even | 5 | inner | 225.2.q.a.61.17 | yes | 224 | |
75.11 | odd | 10 | 675.2.r.a.586.12 | 224 | |||
225.86 | odd | 30 | 675.2.r.a.361.17 | 224 | |||
225.211 | even | 15 | inner | 225.2.q.a.211.12 | yes | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
225.2.q.a.16.12 | ✓ | 224 | 1.1 | even | 1 | trivial | |
225.2.q.a.61.17 | yes | 224 | 25.11 | even | 5 | inner | |
225.2.q.a.166.17 | yes | 224 | 9.4 | even | 3 | inner | |
225.2.q.a.211.12 | yes | 224 | 225.211 | even | 15 | inner | |
675.2.r.a.91.12 | 224 | 9.5 | odd | 6 | |||
675.2.r.a.316.17 | 224 | 3.2 | odd | 2 | |||
675.2.r.a.361.17 | 224 | 225.86 | odd | 30 | |||
675.2.r.a.586.12 | 224 | 75.11 | odd | 10 |