Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [114,2,Mod(29,114)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(114, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 17]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("114.29");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 114 = 2 \cdot 3 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 114.l (of order \(18\), degree \(6\), 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: | \(0.910294583043\) |
Analytic rank: | \(0\) |
Dimension: | \(18\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{18})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{18} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{18} - x^{15} - 18 x^{14} + 36 x^{13} + 10 x^{12} + 18 x^{11} + 90 x^{10} - 567 x^{9} + 270 x^{8} + \cdots + 19683 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 89.1 | ||
Root | \(1.40849 - 1.00804i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 114.89 |
Dual form | 114.2.l.b.41.1 |
$q$-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 \(\left(\mathbb{Z}/114\mathbb{Z}\right)^\times\).
\(n\) | \(77\) | \(97\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{5}{18}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.766044 | − | 0.642788i | 0.541675 | − | 0.454519i | ||||
\(3\) | −0.748148 | − | 1.56214i | −0.431944 | − | 0.901901i | ||||
\(4\) | 0.173648 | − | 0.984808i | 0.0868241 | − | 0.492404i | ||||
\(5\) | −0.262261 | + | 0.0462437i | −0.117287 | + | 0.0206808i | −0.231983 | − | 0.972720i | \(-0.574522\pi\) |
0.114697 | + | 0.993401i | \(0.463410\pi\) | |||||||
\(6\) | −1.57724 | − | 0.715766i | −0.643905 | − | 0.292210i | ||||
\(7\) | 0.604656 | − | 1.04730i | 0.228539 | − | 0.395840i | −0.728837 | − | 0.684688i | \(-0.759939\pi\) |
0.957375 | + | 0.288847i | \(0.0932720\pi\) | |||||||
\(8\) | −0.500000 | − | 0.866025i | −0.176777 | − | 0.306186i | ||||
\(9\) | −1.88055 | + | 2.33742i | −0.626849 | + | 0.779140i | ||||
\(10\) | −0.171179 | + | 0.204003i | −0.0541315 | + | 0.0645114i | ||||
\(11\) | 2.03630 | − | 1.17566i | 0.613968 | − | 0.354474i | −0.160549 | − | 0.987028i | \(-0.551326\pi\) |
0.774517 | + | 0.632553i | \(0.217993\pi\) | |||||||
\(12\) | −1.66832 | + | 0.465520i | −0.481602 | + | 0.134384i | ||||
\(13\) | 1.01749 | + | 2.79553i | 0.282201 | + | 0.775340i | 0.997099 | + | 0.0761119i | \(0.0242506\pi\) |
−0.714899 | + | 0.699228i | \(0.753527\pi\) | |||||||
\(14\) | −0.209995 | − | 1.19094i | −0.0561235 | − | 0.318292i | ||||
\(15\) | 0.268449 | + | 0.375091i | 0.0693133 | + | 0.0968480i | ||||
\(16\) | −0.939693 | − | 0.342020i | −0.234923 | − | 0.0855050i | ||||
\(17\) | 0.576470 | + | 0.687011i | 0.139815 | + | 0.166625i | 0.831408 | − | 0.555663i | \(-0.187535\pi\) |
−0.691593 | + | 0.722287i | \(0.743091\pi\) | |||||||
\(18\) | 0.0618817 | + | 2.99936i | 0.0145857 | + | 0.706956i | ||||
\(19\) | 1.97979 | + | 3.88335i | 0.454194 | + | 0.890903i | ||||
\(20\) | 0.266307i | 0.0595480i | ||||||||
\(21\) | −2.08839 | − | 0.161024i | −0.455724 | − | 0.0351383i | ||||
\(22\) | 0.804198 | − | 2.20952i | 0.171456 | − | 0.471070i | ||||
\(23\) | 5.53770 | + | 0.976446i | 1.15469 | + | 0.203603i | 0.718022 | − | 0.696020i | \(-0.245048\pi\) |
0.436668 | + | 0.899623i | \(0.356159\pi\) | |||||||
\(24\) | −0.978777 | + | 1.42898i | −0.199792 | + | 0.291690i | ||||
\(25\) | −4.63182 | + | 1.68584i | −0.926364 | + | 0.337169i | ||||
\(26\) | 2.57637 | + | 1.48747i | 0.505268 | + | 0.291717i | ||||
\(27\) | 5.05830 | + | 1.18894i | 0.973471 | + | 0.228811i | ||||
\(28\) | −0.926387 | − | 0.777331i | −0.175071 | − | 0.146902i | ||||
\(29\) | 1.92487 | + | 1.61516i | 0.357440 | + | 0.299928i | 0.803769 | − | 0.594941i | \(-0.202825\pi\) |
−0.446329 | + | 0.894869i | \(0.647269\pi\) | |||||||
\(30\) | 0.446748 | + | 0.114780i | 0.0815646 | + | 0.0209559i | ||||
\(31\) | −8.98131 | − | 5.18536i | −1.61309 | − | 0.931319i | −0.988648 | − | 0.150249i | \(-0.951993\pi\) |
−0.624443 | − | 0.781070i | \(-0.714674\pi\) | |||||||
\(32\) | −0.939693 | + | 0.342020i | −0.166116 | + | 0.0604612i | ||||
\(33\) | −3.36000 | − | 2.30141i | −0.584900 | − | 0.400625i | ||||
\(34\) | 0.883204 | + | 0.155733i | 0.151468 | + | 0.0267079i | ||||
\(35\) | −0.110147 | + | 0.302626i | −0.0186182 | + | 0.0511532i | ||||
\(36\) | 1.97536 | + | 2.25787i | 0.329226 | + | 0.376311i | ||||
\(37\) | 3.95916i | 0.650882i | 0.945562 | + | 0.325441i | \(0.105513\pi\) | ||||
−0.945562 | + | 0.325441i | \(0.894487\pi\) | |||||||
\(38\) | 4.01278 | + | 1.70224i | 0.650958 | + | 0.276140i | ||||
\(39\) | 3.60577 | − | 3.68093i | 0.577385 | − | 0.589420i | ||||
\(40\) | 0.171179 | + | 0.204003i | 0.0270657 | + | 0.0322557i | ||||
\(41\) | −10.4227 | − | 3.79356i | −1.62776 | − | 0.592455i | −0.642920 | − | 0.765934i | \(-0.722277\pi\) |
−0.984838 | + | 0.173479i | \(0.944499\pi\) | |||||||
\(42\) | −1.70331 | + | 1.21904i | −0.262826 | + | 0.188102i | ||||
\(43\) | −0.834031 | − | 4.73003i | −0.127189 | − | 0.721322i | −0.979984 | − | 0.199077i | \(-0.936206\pi\) |
0.852795 | − | 0.522245i | \(-0.174905\pi\) | |||||||
\(44\) | −0.804198 | − | 2.20952i | −0.121237 | − | 0.333097i | ||||
\(45\) | 0.385104 | − | 0.699978i | 0.0574079 | − | 0.104347i | ||||
\(46\) | 4.86977 | − | 2.81156i | 0.718008 | − | 0.414542i | ||||
\(47\) | 1.24341 | − | 1.48183i | 0.181369 | − | 0.216147i | −0.667698 | − | 0.744432i | \(-0.732720\pi\) |
0.849067 | + | 0.528285i | \(0.177165\pi\) | |||||||
\(48\) | 0.168747 | + | 1.72381i | 0.0243565 | + | 0.248811i | ||||
\(49\) | 2.76878 | + | 4.79567i | 0.395540 | + | 0.685096i | ||||
\(50\) | −2.46454 | + | 4.26871i | −0.348539 | + | 0.603687i | ||||
\(51\) | 0.641920 | − | 1.41451i | 0.0898868 | − | 0.198071i | ||||
\(52\) | 2.92974 | − | 0.516593i | 0.406282 | − | 0.0716385i | ||||
\(53\) | 0.998339 | − | 5.66186i | 0.137132 | − | 0.777717i | −0.836219 | − | 0.548396i | \(-0.815239\pi\) |
0.973351 | − | 0.229320i | \(-0.0736504\pi\) | |||||||
\(54\) | 4.63912 | − | 2.34063i | 0.631304 | − | 0.318520i | ||||
\(55\) | −0.479676 | + | 0.402496i | −0.0646794 | + | 0.0542725i | ||||
\(56\) | −1.20931 | −0.161601 | ||||||||
\(57\) | 4.58516 | − | 5.99803i | 0.607319 | − | 0.794458i | ||||
\(58\) | 2.51274 | 0.329939 | ||||||||
\(59\) | −9.78136 | + | 8.20754i | −1.27342 | + | 1.06853i | −0.279310 | + | 0.960201i | \(0.590106\pi\) |
−0.994115 | + | 0.108329i | \(0.965450\pi\) | |||||||
\(60\) | 0.416008 | − | 0.199237i | 0.0537064 | − | 0.0257214i | ||||
\(61\) | −0.153642 | + | 0.871345i | −0.0196718 | + | 0.111564i | −0.993063 | − | 0.117587i | \(-0.962484\pi\) |
0.973391 | + | 0.229152i | \(0.0735951\pi\) | |||||||
\(62\) | −10.2132 | + | 1.80086i | −1.29707 | + | 0.228709i | ||||
\(63\) | 1.31088 | + | 3.38283i | 0.165156 | + | 0.426196i | ||||
\(64\) | −0.500000 | + | 0.866025i | −0.0625000 | + | 0.108253i | ||||
\(65\) | −0.396123 | − | 0.686106i | −0.0491331 | − | 0.0851010i | ||||
\(66\) | −4.05323 | + | 0.396777i | −0.498918 | + | 0.0488399i | ||||
\(67\) | 3.28864 | − | 3.91925i | 0.401771 | − | 0.478812i | −0.526788 | − | 0.849997i | \(-0.676604\pi\) |
0.928559 | + | 0.371184i | \(0.121048\pi\) | |||||||
\(68\) | 0.776676 | − | 0.448414i | 0.0941859 | − | 0.0543782i | ||||
\(69\) | −2.61768 | − | 9.38117i | −0.315131 | − | 1.12936i | ||||
\(70\) | 0.110147 | + | 0.302626i | 0.0131651 | + | 0.0361708i | ||||
\(71\) | −1.64669 | − | 9.33885i | −0.195426 | − | 1.10832i | −0.911810 | − | 0.410612i | \(-0.865315\pi\) |
0.716384 | − | 0.697706i | \(-0.245796\pi\) | |||||||
\(72\) | 2.96454 | + | 0.459892i | 0.349374 | + | 0.0541988i | ||||
\(73\) | 0.320853 | + | 0.116781i | 0.0375530 | + | 0.0136682i | 0.360728 | − | 0.932671i | \(-0.382528\pi\) |
−0.323175 | + | 0.946339i | \(0.604750\pi\) | |||||||
\(74\) | 2.54490 | + | 3.03289i | 0.295838 | + | 0.352566i | ||||
\(75\) | 6.09881 | + | 5.97428i | 0.704230 | + | 0.689850i | ||||
\(76\) | 4.16814 | − | 1.27537i | 0.478119 | − | 0.146295i | ||||
\(77\) | − | 2.84348i | − | 0.324044i | ||||||
\(78\) | 0.396123 | − | 5.13750i | 0.0448522 | − | 0.581707i | ||||
\(79\) | 2.33914 | − | 6.42674i | 0.263174 | − | 0.723064i | −0.735775 | − | 0.677226i | \(-0.763182\pi\) |
0.998949 | − | 0.0458383i | \(-0.0145959\pi\) | |||||||
\(80\) | 0.262261 | + | 0.0462437i | 0.0293217 | + | 0.00517020i | ||||
\(81\) | −1.92708 | − | 8.79127i | −0.214120 | − | 0.976807i | ||||
\(82\) | −10.4227 | + | 3.79356i | −1.15100 | + | 0.418929i | ||||
\(83\) | 12.2240 | + | 7.05752i | 1.34176 | + | 0.774663i | 0.987065 | − | 0.160320i | \(-0.0512527\pi\) |
0.354691 | + | 0.934984i | \(0.384586\pi\) | |||||||
\(84\) | −0.521223 | + | 2.02870i | −0.0568701 | + | 0.221350i | ||||
\(85\) | −0.182956 | − | 0.153518i | −0.0198443 | − | 0.0166514i | ||||
\(86\) | −3.67931 | − | 3.08731i | −0.396750 | − | 0.332913i | ||||
\(87\) | 1.08301 | − | 4.21529i | 0.116111 | − | 0.451927i | ||||
\(88\) | −2.03630 | − | 1.17566i | −0.217070 | − | 0.125326i | ||||
\(89\) | −11.5580 | + | 4.20677i | −1.22515 | + | 0.445917i | −0.871933 | − | 0.489626i | \(-0.837133\pi\) |
−0.353213 | + | 0.935543i | \(0.614911\pi\) | |||||||
\(90\) | −0.154931 | − | 0.783754i | −0.0163311 | − | 0.0826150i | ||||
\(91\) | 3.54297 | + | 0.624722i | 0.371405 | + | 0.0654887i | ||||
\(92\) | 1.92322 | − | 5.28401i | 0.200510 | − | 0.550896i | ||||
\(93\) | −1.38090 | + | 17.9095i | −0.143192 | + | 1.85713i | ||||
\(94\) | − | 1.93440i | − | 0.199518i | ||||||
\(95\) | −0.698802 | − | 0.926900i | −0.0716956 | − | 0.0950979i | ||||
\(96\) | 1.23731 | + | 1.21205i | 0.126283 | + | 0.123704i | ||||
\(97\) | 3.88456 | + | 4.62944i | 0.394418 | + | 0.470049i | 0.926309 | − | 0.376764i | \(-0.122963\pi\) |
−0.531892 | + | 0.846812i | \(0.678519\pi\) | |||||||
\(98\) | 5.20361 | + | 1.89396i | 0.525644 | + | 0.191319i | ||||
\(99\) | −1.08135 | + | 6.97057i | −0.108680 | + | 0.700569i | ||||
\(100\) | 0.855926 | + | 4.85420i | 0.0855926 | + | 0.485420i | ||||
\(101\) | 3.54557 | + | 9.74137i | 0.352797 | + | 0.969302i | 0.981467 | + | 0.191630i | \(0.0613774\pi\) |
−0.628670 | + | 0.777672i | \(0.716400\pi\) | |||||||
\(102\) | −0.417492 | − | 1.49620i | −0.0413378 | − | 0.148146i | ||||
\(103\) | −12.7994 | + | 7.38973i | −1.26116 | + | 0.728131i | −0.973299 | − | 0.229541i | \(-0.926278\pi\) |
−0.287861 | + | 0.957672i | \(0.592944\pi\) | |||||||
\(104\) | 1.91225 | − | 2.27894i | 0.187512 | − | 0.223468i | ||||
\(105\) | 0.555150 | − | 0.0543446i | 0.0541771 | − | 0.00530349i | ||||
\(106\) | −2.87460 | − | 4.97896i | −0.279206 | − | 0.483599i | ||||
\(107\) | −8.08439 | + | 14.0026i | −0.781547 | + | 1.35368i | 0.149493 | + | 0.988763i | \(0.452236\pi\) |
−0.931040 | + | 0.364917i | \(0.881097\pi\) | |||||||
\(108\) | 2.04924 | − | 4.77500i | 0.197188 | − | 0.459474i | ||||
\(109\) | 17.9876 | − | 3.17170i | 1.72290 | − | 0.303794i | 0.777302 | − | 0.629128i | \(-0.216588\pi\) |
0.945599 | + | 0.325334i | \(0.105477\pi\) | |||||||
\(110\) | −0.108734 | + | 0.616659i | −0.0103673 | + | 0.0587961i | ||||
\(111\) | 6.18475 | − | 2.96204i | 0.587030 | − | 0.281144i | ||||
\(112\) | −0.926387 | + | 0.777331i | −0.0875353 | + | 0.0734509i | ||||
\(113\) | 2.40020 | 0.225792 | 0.112896 | − | 0.993607i | \(-0.463987\pi\) | ||||
0.112896 | + | 0.993607i | \(0.463987\pi\) | |||||||
\(114\) | −0.343020 | − | 7.54204i | −0.0321268 | − | 0.706377i | ||||
\(115\) | −1.49748 | −0.139640 | ||||||||
\(116\) | 1.92487 | − | 1.61516i | 0.178720 | − | 0.149964i | ||||
\(117\) | −8.44777 | − | 2.87883i | −0.780996 | − | 0.266148i | ||||
\(118\) | −2.21725 | + | 12.5747i | −0.204115 | + | 1.15759i | ||||
\(119\) | 1.06807 | − | 0.188329i | 0.0979098 | − | 0.0172641i | ||||
\(120\) | 0.190614 | − | 0.420029i | 0.0174006 | − | 0.0383433i | ||||
\(121\) | −2.73565 | + | 4.73829i | −0.248696 | + | 0.430754i | ||||
\(122\) | 0.442393 | + | 0.766248i | 0.0400524 | + | 0.0693728i | ||||
\(123\) | 1.87168 | + | 19.1199i | 0.168764 | + | 1.72398i | ||||
\(124\) | −6.66618 | + | 7.94444i | −0.598640 | + | 0.713432i | ||||
\(125\) | 2.28993 | − | 1.32209i | 0.204818 | − | 0.118251i | ||||
\(126\) | 3.17863 | + | 1.74877i | 0.283175 | + | 0.155793i | ||||
\(127\) | −2.02408 | − | 5.56112i | −0.179608 | − | 0.493470i | 0.816918 | − | 0.576754i | \(-0.195681\pi\) |
−0.996526 | + | 0.0832849i | \(0.973459\pi\) | |||||||
\(128\) | 0.173648 | + | 0.984808i | 0.0153485 | + | 0.0870455i | ||||
\(129\) | −6.76497 | + | 4.84163i | −0.595623 | + | 0.426282i | ||||
\(130\) | −0.744469 | − | 0.270964i | −0.0652942 | − | 0.0237652i | ||||
\(131\) | −11.1080 | − | 13.2379i | −0.970506 | − | 1.15660i | −0.987638 | − | 0.156751i | \(-0.949898\pi\) |
0.0171319 | − | 0.999853i | \(-0.494546\pi\) | |||||||
\(132\) | −2.84991 | + | 2.90931i | −0.248053 | + | 0.253223i | ||||
\(133\) | 5.26411 | + | 0.274672i | 0.456456 | + | 0.0238171i | ||||
\(134\) | − | 5.11622i | − | 0.441974i | ||||||
\(135\) | −1.38158 | − | 0.0778975i | −0.118907 | − | 0.00670435i | ||||
\(136\) | 0.306733 | − | 0.842743i | 0.0263022 | − | 0.0722646i | ||||
\(137\) | 18.0150 | + | 3.17653i | 1.53912 | + | 0.271389i | 0.877917 | − | 0.478813i | \(-0.158933\pi\) |
0.661208 | + | 0.750203i | \(0.270044\pi\) | |||||||
\(138\) | −8.03536 | − | 5.50379i | −0.684015 | − | 0.468513i | ||||
\(139\) | −2.16057 | + | 0.786381i | −0.183257 | + | 0.0667000i | −0.432019 | − | 0.901865i | \(-0.642199\pi\) |
0.248762 | + | 0.968565i | \(0.419976\pi\) | |||||||
\(140\) | 0.278902 | + | 0.161024i | 0.0235715 | + | 0.0136090i | ||||
\(141\) | −3.24508 | − | 0.833740i | −0.273285 | − | 0.0702135i | ||||
\(142\) | −7.26434 | − | 6.09550i | −0.609610 | − | 0.511523i | ||||
\(143\) | 5.35850 | + | 4.49632i | 0.448100 | + | 0.376001i | ||||
\(144\) | 2.56658 | − | 1.55327i | 0.213882 | − | 0.129439i | ||||
\(145\) | −0.579510 | − | 0.334580i | −0.0481257 | − | 0.0277854i | ||||
\(146\) | 0.320853 | − | 0.116781i | 0.0265540 | − | 0.00966485i | ||||
\(147\) | 5.42004 | − | 7.91309i | 0.447037 | − | 0.652661i | ||||
\(148\) | 3.89901 | + | 0.687501i | 0.320497 | + | 0.0565122i | ||||
\(149\) | −2.67853 | + | 7.35921i | −0.219434 | + | 0.602890i | −0.999747 | − | 0.0224995i | \(-0.992838\pi\) |
0.780313 | + | 0.625389i | \(0.215060\pi\) | |||||||
\(150\) | 8.51215 | + | 0.656324i | 0.695014 | + | 0.0535886i | ||||
\(151\) | − | 11.1343i | − | 0.906098i | −0.891486 | − | 0.453049i | \(-0.850336\pi\) | ||
0.891486 | − | 0.453049i | \(-0.149664\pi\) | |||||||
\(152\) | 2.37319 | − | 3.65622i | 0.192491 | − | 0.296559i | ||||
\(153\) | −2.68991 | + | 0.0554973i | −0.217467 | + | 0.00448669i | ||||
\(154\) | −1.82775 | − | 2.17823i | −0.147284 | − | 0.175527i | ||||
\(155\) | 2.59524 | + | 0.944590i | 0.208455 | + | 0.0758713i | ||||
\(156\) | −2.99887 | − | 4.19017i | −0.240102 | − | 0.335482i | ||||
\(157\) | −3.68519 | − | 20.8997i | −0.294110 | − | 1.66798i | −0.670798 | − | 0.741640i | \(-0.734048\pi\) |
0.376688 | − | 0.926340i | \(-0.377063\pi\) | |||||||
\(158\) | −2.33914 | − | 6.42674i | −0.186092 | − | 0.511284i | ||||
\(159\) | −9.59152 | + | 2.67637i | −0.760657 | + | 0.212250i | ||||
\(160\) | 0.230629 | − | 0.133153i | 0.0182328 | − | 0.0105267i | ||||
\(161\) | 4.37103 | − | 5.20919i | 0.344485 | − | 0.410542i | ||||
\(162\) | −7.12714 | − | 5.49580i | −0.559961 | − | 0.431791i | ||||
\(163\) | 1.74061 | + | 3.01482i | 0.136335 | + | 0.236139i | 0.926107 | − | 0.377262i | \(-0.123134\pi\) |
−0.789772 | + | 0.613401i | \(0.789801\pi\) | |||||||
\(164\) | −5.54582 | + | 9.60564i | −0.433056 | + | 0.750075i | ||||
\(165\) | 0.987622 | + | 0.448193i | 0.0768863 | + | 0.0348918i | ||||
\(166\) | 13.9006 | − | 2.45105i | 1.07890 | − | 0.190238i | ||||
\(167\) | 3.56671 | − | 20.2278i | 0.276000 | − | 1.56527i | −0.459767 | − | 0.888040i | \(-0.652067\pi\) |
0.735767 | − | 0.677235i | \(-0.236822\pi\) | |||||||
\(168\) | 0.904745 | + | 1.88911i | 0.0698026 | + | 0.145748i | ||||
\(169\) | 3.17888 | − | 2.66740i | 0.244529 | − | 0.205185i | ||||
\(170\) | −0.238832 | −0.0183176 | ||||||||
\(171\) | −12.8001 | − | 2.67524i | −0.978850 | − | 0.204581i | ||||
\(172\) | −4.80300 | −0.366225 | ||||||||
\(173\) | 6.38346 | − | 5.35636i | 0.485326 | − | 0.407237i | −0.367022 | − | 0.930212i | \(-0.619623\pi\) |
0.852348 | + | 0.522976i | \(0.175178\pi\) | |||||||
\(174\) | −1.87990 | − | 3.92525i | −0.142515 | − | 0.297572i | ||||
\(175\) | −1.03508 | + | 5.87024i | −0.0782448 | + | 0.443748i | ||||
\(176\) | −2.31560 | + | 0.408302i | −0.174545 | + | 0.0307769i | ||||
\(177\) | 20.1392 | + | 9.13938i | 1.51376 | + | 0.686958i | ||||
\(178\) | −6.14989 | + | 10.6519i | −0.460953 | + | 0.798395i | ||||
\(179\) | −4.51280 | − | 7.81640i | −0.337302 | − | 0.584225i | 0.646622 | − | 0.762811i | \(-0.276181\pi\) |
−0.983924 | + | 0.178586i | \(0.942848\pi\) | |||||||
\(180\) | −0.622471 | − | 0.500803i | −0.0463963 | − | 0.0373277i | ||||
\(181\) | 5.90976 | − | 7.04297i | 0.439269 | − | 0.523500i | −0.500304 | − | 0.865850i | \(-0.666778\pi\) |
0.939573 | + | 0.342350i | \(0.111223\pi\) | |||||||
\(182\) | 3.11564 | − | 1.79882i | 0.230947 | − | 0.133337i | ||||
\(183\) | 1.47611 | − | 0.411886i | 0.109117 | − | 0.0304475i | ||||
\(184\) | −1.92322 | − | 5.28401i | −0.141782 | − | 0.389542i | ||||
\(185\) | −0.183086 | − | 1.03833i | −0.0134608 | − | 0.0763398i | ||||
\(186\) | 10.4542 | + | 14.6071i | 0.766536 | + | 1.07104i | ||||
\(187\) | 1.98156 | + | 0.721228i | 0.144906 | + | 0.0527414i | ||||
\(188\) | −1.24341 | − | 1.48183i | −0.0906846 | − | 0.108074i | ||||
\(189\) | 4.30370 | − | 4.57864i | 0.313048 | − | 0.333047i | ||||
\(190\) | −1.13111 | − | 0.260865i | −0.0820596 | − | 0.0189252i | ||||
\(191\) | − | 7.33252i | − | 0.530562i | −0.964171 | − | 0.265281i | \(-0.914535\pi\) | ||
0.964171 | − | 0.265281i | \(-0.0854648\pi\) | |||||||
\(192\) | 1.72693 | + | 0.133153i | 0.124630 | + | 0.00960952i | ||||
\(193\) | 0.613121 | − | 1.68453i | 0.0441334 | − | 0.121255i | −0.915668 | − | 0.401935i | \(-0.868338\pi\) |
0.959801 | + | 0.280680i | \(0.0905599\pi\) | |||||||
\(194\) | 5.95150 | + | 1.04941i | 0.427293 | + | 0.0753432i | ||||
\(195\) | −0.775433 | + | 1.13211i | −0.0555299 | + | 0.0810720i | ||||
\(196\) | 5.20361 | − | 1.89396i | 0.371686 | − | 0.135283i | ||||
\(197\) | −6.85271 | − | 3.95642i | −0.488236 | − | 0.281883i | 0.235607 | − | 0.971849i | \(-0.424292\pi\) |
−0.723842 | + | 0.689966i | \(0.757626\pi\) | |||||||
\(198\) | 3.65224 | + | 6.03485i | 0.259553 | + | 0.428878i | ||||
\(199\) | −8.01318 | − | 6.72386i | −0.568039 | − | 0.476642i | 0.312955 | − | 0.949768i | \(-0.398681\pi\) |
−0.880995 | + | 0.473126i | \(0.843125\pi\) | |||||||
\(200\) | 3.77589 | + | 3.16835i | 0.266996 | + | 0.224036i | ||||
\(201\) | −8.58280 | − | 2.20513i | −0.605384 | − | 0.155538i | ||||
\(202\) | 8.97769 | + | 5.18327i | 0.631668 | + | 0.364694i | ||||
\(203\) | 2.85543 | − | 1.03929i | 0.200412 | − | 0.0729441i | ||||
\(204\) | −1.28155 | − | 0.877795i | −0.0897267 | − | 0.0614580i | ||||
\(205\) | 2.90891 | + | 0.512919i | 0.203167 | + | 0.0358238i | ||||
\(206\) | −5.05487 | + | 13.8881i | −0.352189 | + | 0.967633i | ||||
\(207\) | −12.6963 | + | 11.1077i | −0.882452 | + | 0.772037i | ||||
\(208\) | − | 2.97494i | − | 0.206275i | ||||||
\(209\) | 8.59694 | + | 5.58012i | 0.594663 | + | 0.385985i | ||||
\(210\) | 0.390338 | − | 0.398474i | 0.0269359 | − | 0.0274973i | ||||
\(211\) | 8.93046 | + | 10.6429i | 0.614799 | + | 0.732688i | 0.980167 | − | 0.198175i | \(-0.0635013\pi\) |
−0.365368 | + | 0.930863i | \(0.619057\pi\) | |||||||
\(212\) | −5.40249 | − | 1.96634i | −0.371044 | − | 0.135049i | ||||
\(213\) | −13.3566 | + | 9.55921i | −0.915180 | + | 0.654986i | ||||
\(214\) | 2.80768 | + | 15.9231i | 0.191929 | + | 1.08848i | ||||
\(215\) | 0.437468 | + | 1.20193i | 0.0298351 | + | 0.0819712i | ||||
\(216\) | −1.49950 | − | 4.97509i | −0.102028 | − | 0.338512i | ||||
\(217\) | −10.8612 | + | 6.27072i | −0.737307 | + | 0.425684i | ||||
\(218\) | 11.7406 | − | 13.9919i | 0.795172 | − | 0.947650i | ||||
\(219\) | −0.0576176 | − | 0.588585i | −0.00389344 | − | 0.0397729i | ||||
\(220\) | 0.313086 | + | 0.542281i | 0.0211083 | + | 0.0365606i | ||||
\(221\) | −1.33401 | + | 2.31057i | −0.0897349 | + | 0.155425i | ||||
\(222\) | 2.83383 | − | 6.24453i | 0.190194 | − | 0.419106i | ||||
\(223\) | −12.2714 | + | 2.16379i | −0.821757 | + | 0.144898i | −0.568691 | − | 0.822551i | \(-0.692550\pi\) |
−0.253066 | + | 0.967449i | \(0.581439\pi\) | |||||||
\(224\) | −0.209995 | + | 1.19094i | −0.0140309 | + | 0.0795730i | ||||
\(225\) | 4.76983 | − | 13.9968i | 0.317989 | − | 0.933122i | ||||
\(226\) | 1.83866 | − | 1.54282i | 0.122306 | − | 0.102627i | ||||
\(227\) | 1.63948 | 0.108816 | 0.0544081 | − | 0.998519i | \(-0.482673\pi\) | ||||
0.0544081 | + | 0.998519i | \(0.482673\pi\) | |||||||
\(228\) | −5.11070 | − | 5.55705i | −0.338464 | − | 0.368024i | ||||
\(229\) | −12.1547 | −0.803204 | −0.401602 | − | 0.915814i | \(-0.631546\pi\) | ||||
−0.401602 | + | 0.915814i | \(0.631546\pi\) | |||||||
\(230\) | −1.14713 | + | 0.962560i | −0.0756398 | + | 0.0634693i | ||||
\(231\) | −4.44190 | + | 2.12734i | −0.292256 | + | 0.139969i | ||||
\(232\) | 0.436333 | − | 2.47457i | 0.0286467 | − | 0.162463i | ||||
\(233\) | 2.37239 | − | 0.418316i | 0.155420 | − | 0.0274048i | −0.0953966 | − | 0.995439i | \(-0.530412\pi\) |
0.250817 | + | 0.968035i | \(0.419301\pi\) | |||||||
\(234\) | −8.32184 | + | 3.22481i | −0.544016 | + | 0.210812i | ||||
\(235\) | −0.257571 | + | 0.446127i | −0.0168021 | + | 0.0291021i | ||||
\(236\) | 6.38433 | + | 11.0580i | 0.415585 | + | 0.719814i | ||||
\(237\) | −11.7895 | + | 1.15409i | −0.765809 | + | 0.0749663i | ||||
\(238\) | 0.697133 | − | 0.830810i | 0.0451884 | − | 0.0538534i | ||||
\(239\) | −16.5806 | + | 9.57284i | −1.07251 | + | 0.619215i | −0.928867 | − | 0.370414i | \(-0.879216\pi\) |
−0.143646 | + | 0.989629i | \(0.545883\pi\) | |||||||
\(240\) | −0.123971 | − | 0.444285i | −0.00800230 | − | 0.0286785i | ||||
\(241\) | 1.43503 | + | 3.94271i | 0.0924383 | + | 0.253972i | 0.977292 | − | 0.211897i | \(-0.0679641\pi\) |
−0.884854 | + | 0.465869i | \(0.845742\pi\) | |||||||
\(242\) | 0.950083 | + | 5.38819i | 0.0610736 | + | 0.346366i | ||||
\(243\) | −12.2914 | + | 9.58753i | −0.788496 | + | 0.615040i | ||||
\(244\) | 0.831427 | + | 0.302615i | 0.0532267 | + | 0.0193729i | ||||
\(245\) | −0.947913 | − | 1.12968i | −0.0605600 | − | 0.0721726i | ||||
\(246\) | 13.7238 | + | 13.4436i | 0.874999 | + | 0.857132i | ||||
\(247\) | −8.84162 | + | 9.48582i | −0.562579 | + | 0.603568i | ||||
\(248\) | 10.3707i | 0.658542i | ||||||||
\(249\) | 1.87947 | − | 24.3756i | 0.119106 | − | 1.54474i | ||||
\(250\) | 0.904364 | − | 2.48472i | 0.0571970 | − | 0.157147i | ||||
\(251\) | 4.15098 | + | 0.731929i | 0.262007 | + | 0.0461990i | 0.303109 | − | 0.952956i | \(-0.401976\pi\) |
−0.0411012 | + | 0.999155i | \(0.513087\pi\) | |||||||
\(252\) | 3.55907 | − | 0.703548i | 0.224200 | − | 0.0443194i | ||||
\(253\) | 12.4244 | − | 4.52211i | 0.781114 | − | 0.284302i | ||||
\(254\) | −5.12516 | − | 2.95901i | −0.321581 | − | 0.185665i | ||||
\(255\) | −0.102938 | + | 0.400656i | −0.00644625 | + | 0.0250901i | ||||
\(256\) | 0.766044 | + | 0.642788i | 0.0478778 | + | 0.0401742i | ||||
\(257\) | 13.6150 | + | 11.4244i | 0.849282 | + | 0.712632i | 0.959631 | − | 0.281260i | \(-0.0907525\pi\) |
−0.110349 | + | 0.993893i | \(0.535197\pi\) | |||||||
\(258\) | −2.07013 | + | 8.05735i | −0.128881 | + | 0.501629i | ||||
\(259\) | 4.14641 | + | 2.39393i | 0.257645 | + | 0.148752i | ||||
\(260\) | −0.744469 | + | 0.270964i | −0.0461700 | + | 0.0168045i | ||||
\(261\) | −7.39512 | + | 1.46185i | −0.457747 | + | 0.0904863i | ||||
\(262\) | −17.0184 | − | 3.00080i | −1.05140 | − | 0.185390i | ||||
\(263\) | 0.383160 | − | 1.05272i | 0.0236267 | − | 0.0649138i | −0.927319 | − | 0.374273i | \(-0.877892\pi\) |
0.950945 | + | 0.309359i | \(0.100115\pi\) | |||||||
\(264\) | −0.313086 | + | 4.06055i | −0.0192691 | + | 0.249909i | ||||
\(265\) | 1.53105i | 0.0940519i | ||||||||
\(266\) | 4.20910 | − | 3.17329i | 0.258076 | − | 0.194567i | ||||
\(267\) | 15.2187 | + | 14.9079i | 0.931366 | + | 0.912349i | ||||
\(268\) | −3.28864 | − | 3.91925i | −0.200886 | − | 0.239406i | ||||
\(269\) | 18.2909 | + | 6.65734i | 1.11522 | + | 0.405905i | 0.832904 | − | 0.553418i | \(-0.186677\pi\) |
0.282311 | + | 0.959323i | \(0.408899\pi\) | |||||||
\(270\) | −1.10842 | + | 0.828388i | −0.0674564 | + | 0.0504141i | ||||
\(271\) | −0.0552285 | − | 0.313217i | −0.00335489 | − | 0.0190266i | 0.983084 | − | 0.183153i | \(-0.0586305\pi\) |
−0.986439 | + | 0.164127i | \(0.947519\pi\) | |||||||
\(272\) | −0.306733 | − | 0.842743i | −0.0185984 | − | 0.0510988i | ||||
\(273\) | −1.67477 | − | 6.00200i | −0.101362 | − | 0.363257i | ||||
\(274\) | 15.8421 | − | 9.14645i | 0.957057 | − | 0.552557i | ||||
\(275\) | −7.44980 | + | 8.87833i | −0.449240 | + | 0.535383i | ||||
\(276\) | −9.69321 | + | 0.948885i | −0.583463 | + | 0.0571162i | ||||
\(277\) | 10.9678 | + | 18.9968i | 0.658993 | + | 1.14141i | 0.980877 | + | 0.194630i | \(0.0623506\pi\) |
−0.321884 | + | 0.946779i | \(0.604316\pi\) | |||||||
\(278\) | −1.14961 | + | 1.99119i | −0.0689492 | + | 0.119424i | ||||
\(279\) | 29.0102 | − | 11.2418i | 1.73679 | − | 0.673028i | ||||
\(280\) | 0.317156 | − | 0.0559231i | 0.0189537 | − | 0.00334204i | ||||
\(281\) | 2.62001 | − | 14.8588i | 0.156297 | − | 0.886403i | −0.801294 | − | 0.598271i | \(-0.795855\pi\) |
0.957591 | − | 0.288132i | \(-0.0930342\pi\) | |||||||
\(282\) | −3.02179 | + | 1.44721i | −0.179945 | + | 0.0861804i | ||||
\(283\) | −5.08697 | + | 4.26848i | −0.302389 | + | 0.253735i | −0.781338 | − | 0.624108i | \(-0.785462\pi\) |
0.478949 | + | 0.877843i | \(0.341018\pi\) | |||||||
\(284\) | −9.48292 | −0.562708 | ||||||||
\(285\) | −0.925138 | + | 1.78508i | −0.0548005 | + | 0.105739i | ||||
\(286\) | 6.99503 | 0.413625 | ||||||||
\(287\) | −10.2751 | + | 8.62187i | −0.606523 | + | 0.508933i | ||||
\(288\) | 0.967692 | − | 2.83964i | 0.0570218 | − | 0.167328i | ||||
\(289\) | 2.81235 | − | 15.9496i | 0.165433 | − | 0.938215i | ||||
\(290\) | −0.658995 | + | 0.116199i | −0.0386975 | + | 0.00682341i | ||||
\(291\) | 4.32560 | − | 9.53173i | 0.253571 | − | 0.558760i | ||||
\(292\) | 0.170722 | − | 0.295699i | 0.00999076 | − | 0.0173045i | ||||
\(293\) | −14.2028 | − | 24.5999i | −0.829735 | − | 1.43714i | −0.898246 | − | 0.439493i | \(-0.855158\pi\) |
0.0685112 | − | 0.997650i | \(-0.478175\pi\) | |||||||
\(294\) | −0.934446 | − | 9.54571i | −0.0544980 | − | 0.556717i | ||||
\(295\) | 2.18572 | − | 2.60484i | 0.127258 | − | 0.151660i | ||||
\(296\) | 3.42873 | − | 1.97958i | 0.199291 | − | 0.115061i | ||||
\(297\) | 11.6980 | − | 3.52580i | 0.678787 | − | 0.204588i | ||||
\(298\) | 2.67853 | + | 7.35921i | 0.155163 | + | 0.426307i | ||||
\(299\) | 2.90487 | + | 16.4743i | 0.167993 | + | 0.952734i | ||||
\(300\) | 6.94256 | − | 4.96873i | 0.400829 | − | 0.286870i | ||||
\(301\) | −5.45804 | − | 1.98656i | −0.314596 | − | 0.114504i | ||||
\(302\) | −7.15700 | − | 8.52938i | −0.411839 | − | 0.490811i | ||||
\(303\) | 12.5647 | − | 12.8266i | 0.721826 | − | 0.736872i | ||||
\(304\) | −0.532206 | − | 4.32629i | −0.0305241 | − | 0.248130i | ||||
\(305\) | − | 0.235625i | − | 0.0134918i | ||||||
\(306\) | −2.02492 | + | 1.77156i | −0.115757 | + | 0.101273i | ||||
\(307\) | 1.49097 | − | 4.09641i | 0.0850942 | − | 0.233794i | −0.889846 | − | 0.456261i | \(-0.849188\pi\) |
0.974940 | + | 0.222466i | \(0.0714107\pi\) | |||||||
\(308\) | −2.80028 | − | 0.493765i | −0.159561 | − | 0.0281348i | ||||
\(309\) | 21.1196 | + | 14.4658i | 1.20145 | + | 0.822930i | ||||
\(310\) | 2.59524 | − | 0.944590i | 0.147400 | − | 0.0536491i | ||||
\(311\) | 4.11082 | + | 2.37338i | 0.233103 | + | 0.134582i | 0.612003 | − | 0.790856i | \(-0.290364\pi\) |
−0.378900 | + | 0.925438i | \(0.623697\pi\) | |||||||
\(312\) | −4.99066 | − | 1.28222i | −0.282541 | − | 0.0725916i | ||||
\(313\) | 14.5023 | + | 12.1689i | 0.819718 | + | 0.687825i | 0.952906 | − | 0.303265i | \(-0.0980769\pi\) |
−0.133188 | + | 0.991091i | \(0.542521\pi\) | |||||||
\(314\) | −16.2571 | − | 13.6413i | −0.917442 | − | 0.769825i | ||||
\(315\) | −0.500228 | − | 0.826563i | −0.0281847 | − | 0.0465716i | ||||
\(316\) | −5.92291 | − | 3.41960i | −0.333190 | − | 0.192367i | ||||
\(317\) | −29.4488 | + | 10.7185i | −1.65401 | + | 0.602010i | −0.989404 | − | 0.145186i | \(-0.953622\pi\) |
−0.664604 | + | 0.747196i | \(0.731400\pi\) | |||||||
\(318\) | −5.62719 | + | 8.21553i | −0.315557 | + | 0.460704i | ||||
\(319\) | 5.81850 | + | 1.02596i | 0.325773 | + | 0.0574426i | ||||
\(320\) | 0.0910823 | − | 0.250247i | 0.00509166 | − | 0.0139892i | ||||
\(321\) | 27.9223 | + | 2.15293i | 1.55847 | + | 0.120165i | ||||
\(322\) | − | 6.80012i | − | 0.378956i | ||||||
\(323\) | −1.52662 | + | 3.59877i | −0.0849432 | + | 0.200241i | ||||
\(324\) | −8.99234 | + | 0.371211i | −0.499575 | + | 0.0206229i | ||||
\(325\) | −9.42565 | − | 11.2331i | −0.522841 | − | 0.623098i | ||||
\(326\) | 3.27128 | + | 1.19065i | 0.181179 | + | 0.0659438i | ||||
\(327\) | −18.4120 | − | 25.7262i | −1.01819 | − | 1.42266i | ||||
\(328\) | 1.92604 | + | 10.9231i | 0.106348 | + | 0.603129i | ||||
\(329\) | −0.800083 | − | 2.19821i | −0.0441100 | − | 0.121191i | ||||
\(330\) | 1.04466 | − | 0.291495i | 0.0575064 | − | 0.0160463i | ||||
\(331\) | −3.20610 | + | 1.85104i | −0.176223 | + | 0.101742i | −0.585517 | − | 0.810660i | \(-0.699108\pi\) |
0.409294 | + | 0.912403i | \(0.365775\pi\) | |||||||
\(332\) | 9.07297 | − | 10.8127i | 0.497944 | − | 0.593426i | ||||
\(333\) | −9.25422 | − | 7.44539i | −0.507128 | − | 0.408005i | ||||
\(334\) | −10.2699 | − | 17.7880i | −0.561945 | − | 0.973318i | ||||
\(335\) | −0.681242 | + | 1.17995i | −0.0372202 | + | 0.0644673i | ||||
\(336\) | 1.90737 | + | 0.865585i | 0.104056 | + | 0.0472215i | ||||
\(337\) | −19.7344 | + | 3.47971i | −1.07500 | + | 0.189552i | −0.683004 | − | 0.730415i | \(-0.739327\pi\) |
−0.391997 | + | 0.919967i | \(0.628216\pi\) | |||||||
\(338\) | 0.720594 | − | 4.08669i | 0.0391952 | − | 0.222287i | ||||
\(339\) | −1.79570 | − | 3.74944i | −0.0975292 | − | 0.203642i | ||||
\(340\) | −0.182956 | + | 0.153518i | −0.00992217 | + | 0.00832569i | ||||
\(341\) | −24.3849 | −1.32051 | ||||||||
\(342\) | −11.5251 | + | 6.17841i | −0.623205 | + | 0.334090i | ||||
\(343\) | 15.1618 | 0.818662 | ||||||||
\(344\) | −3.67931 | + | 3.08731i | −0.198375 | + | 0.166456i | ||||
\(345\) | 1.12034 | + | 2.33927i | 0.0603168 | + | 0.125942i | ||||
\(346\) | 1.44701 | − | 8.20642i | 0.0777919 | − | 0.441180i | ||||
\(347\) | 0.281016 | − | 0.0495507i | 0.0150857 | − | 0.00266002i | −0.166100 | − | 0.986109i | \(-0.553118\pi\) |
0.181186 | + | 0.983449i | \(0.442006\pi\) | |||||||
\(348\) | −3.96319 | − | 1.79854i | −0.212449 | − | 0.0964117i | ||||
\(349\) | 6.98873 | − | 12.1048i | 0.374098 | − | 0.647957i | −0.616093 | − | 0.787673i | \(-0.711286\pi\) |
0.990192 | + | 0.139716i | \(0.0446190\pi\) | |||||||
\(350\) | 2.98040 | + | 5.16220i | 0.159309 | + | 0.275931i | ||||
\(351\) | 1.82306 | + | 15.3504i | 0.0973077 | + | 0.819342i | ||||
\(352\) | −1.51140 | + | 1.80121i | −0.0805578 | + | 0.0960050i | ||||
\(353\) | −17.7647 | + | 10.2564i | −0.945519 | + | 0.545895i | −0.891686 | − | 0.452654i | \(-0.850477\pi\) |
−0.0538327 | + | 0.998550i | \(0.517144\pi\) | |||||||
\(354\) | 21.3022 | − | 5.94407i | 1.13220 | − | 0.315924i | ||||
\(355\) | 0.863726 | + | 2.37307i | 0.0458418 | + | 0.125949i | ||||
\(356\) | 2.13583 | + | 12.1129i | 0.113199 | + | 0.641983i | ||||
\(357\) | −1.09327 | − | 1.52757i | −0.0578620 | − | 0.0808477i | ||||
\(358\) | −8.48129 | − | 3.08694i | −0.448250 | − | 0.163150i | ||||
\(359\) | −17.9876 | − | 21.4368i | −0.949348 | − | 1.13139i | −0.991214 | − | 0.132266i | \(-0.957775\pi\) |
0.0418658 | − | 0.999123i | \(-0.486670\pi\) | |||||||
\(360\) | −0.798751 | + | 0.0164795i | −0.0420979 | + | 0.000868548i | ||||
\(361\) | −11.1609 | + | 15.3764i | −0.587415 | + | 0.809286i | ||||
\(362\) | − | 9.19395i | − | 0.483223i | ||||||
\(363\) | 9.44854 | + | 0.728524i | 0.495920 | + | 0.0382376i | ||||
\(364\) | 1.23046 | − | 3.38067i | 0.0644937 | − | 0.177195i | ||||
\(365\) | −0.0895476 | − | 0.0157897i | −0.00468713 | − | 0.000826468i | ||||
\(366\) | 0.866009 | − | 1.26435i | 0.0452670 | − | 0.0660884i | ||||
\(367\) | 1.43051 | − | 0.520662i | 0.0746719 | − | 0.0271783i | −0.304414 | − | 0.952540i | \(-0.598461\pi\) |
0.379086 | + | 0.925361i | \(0.376238\pi\) | |||||||
\(368\) | −4.86977 | − | 2.81156i | −0.253854 | − | 0.146563i | ||||
\(369\) | 28.4676 | − | 17.2283i | 1.48196 | − | 0.896871i | ||||
\(370\) | −0.807680 | − | 0.677724i | −0.0419893 | − | 0.0352332i | ||||
\(371\) | −5.32599 | − | 4.46904i | −0.276512 | − | 0.232021i | ||||
\(372\) | 17.3976 | + | 4.46987i | 0.902023 | + | 0.231752i | ||||
\(373\) | 4.13495 | + | 2.38731i | 0.214100 | + | 0.123610i | 0.603215 | − | 0.797578i | \(-0.293886\pi\) |
−0.389116 | + | 0.921189i | \(0.627219\pi\) | |||||||
\(374\) | 1.98156 | − | 0.721228i | 0.102464 | − | 0.0372938i | ||||
\(375\) | −3.77850 | − | 2.58806i | −0.195121 | − | 0.133647i | ||||
\(376\) | −1.90501 | − | 0.335904i | −0.0982432 | − | 0.0173229i | ||||
\(377\) | −2.55669 | + | 7.02444i | −0.131676 | + | 0.361777i | ||||
\(378\) | 0.353736 | − | 6.27381i | 0.0181942 | − | 0.322690i | ||||
\(379\) | 13.4129i | 0.688972i | 0.938791 | + | 0.344486i | \(0.111947\pi\) | ||||
−0.938791 | + | 0.344486i | \(0.888053\pi\) | |||||||
\(380\) | −1.03416 | + | 0.527231i | −0.0530515 | + | 0.0270464i | ||||
\(381\) | −7.17292 | + | 7.32244i | −0.367480 | + | 0.375140i | ||||
\(382\) | −4.71325 | − | 5.61704i | −0.241151 | − | 0.287393i | ||||
\(383\) | 30.5956 | + | 11.1359i | 1.56336 | + | 0.569017i | 0.971503 | − | 0.237026i | \(-0.0761727\pi\) |
0.591857 | + | 0.806043i | \(0.298395\pi\) | |||||||
\(384\) | 1.40849 | − | 1.00804i | 0.0718767 | − | 0.0514416i | ||||
\(385\) | 0.131493 | + | 0.745733i | 0.00670150 | + | 0.0380061i | ||||
\(386\) | −0.613121 | − | 1.68453i | −0.0312070 | − | 0.0857406i | ||||
\(387\) | 12.6245 | + | 6.94556i | 0.641739 | + | 0.353063i | ||||
\(388\) | 5.23366 | − | 3.02165i | 0.265699 | − | 0.153401i | ||||
\(389\) | 8.33624 | − | 9.93474i | 0.422664 | − | 0.503711i | −0.512127 | − | 0.858910i | \(-0.671142\pi\) |
0.934791 | + | 0.355199i | \(0.115587\pi\) | |||||||
\(390\) | 0.133689 | + | 1.36568i | 0.00676961 | + | 0.0691541i | ||||
\(391\) | 2.52149 | + | 4.36735i | 0.127517 | + | 0.220866i | ||||
\(392\) | 2.76878 | − | 4.79567i | 0.139845 | − | 0.242218i | ||||
\(393\) | −12.3691 | + | 27.2561i | −0.623938 | + | 1.37489i | ||||
\(394\) | −7.79262 | + | 1.37405i | −0.392586 | + | 0.0692236i | ||||
\(395\) | −0.316270 | + | 1.79365i | −0.0159132 | + | 0.0902485i | ||||
\(396\) | 6.67690 | + | 2.27535i | 0.335527 | + | 0.114341i | ||||
\(397\) | 18.9635 | − | 15.9123i | 0.951752 | − | 0.798615i | −0.0278396 | − | 0.999612i | \(-0.508863\pi\) |
0.979592 | + | 0.200997i | \(0.0644183\pi\) | |||||||
\(398\) | −10.4605 | −0.524336 | ||||||||
\(399\) | −3.50926 | − | 8.42876i | −0.175683 | − | 0.421966i | ||||
\(400\) | 4.92908 | 0.246454 | ||||||||
\(401\) | 4.89417 | − | 4.10670i | 0.244403 | − | 0.205079i | −0.512354 | − | 0.858774i | \(-0.671227\pi\) |
0.756758 | + | 0.653695i | \(0.226782\pi\) | |||||||
\(402\) | −7.99223 | + | 3.82769i | −0.398616 | + | 0.190908i | ||||
\(403\) | 5.35744 | − | 30.3836i | 0.266873 | − | 1.51351i | ||||
\(404\) | 10.2091 | − | 1.80013i | 0.507919 | − | 0.0895599i | ||||
\(405\) | 0.911938 | + | 2.21649i | 0.0453146 | + | 0.110138i | ||||
\(406\) | 1.51935 | − | 2.63158i | 0.0754038 | − | 0.130603i | ||||
\(407\) | 4.65462 | + | 8.06204i | 0.230721 | + | 0.399620i | ||||
\(408\) | −1.54596 | + | 0.151337i | −0.0765366 | + | 0.00749230i | ||||
\(409\) | −18.5835 | + | 22.1469i | −0.918894 | + | 1.09510i | 0.0762911 | + | 0.997086i | \(0.475692\pi\) |
−0.995185 | + | 0.0980100i | \(0.968752\pi\) | |||||||
\(410\) | 2.55805 | − | 1.47689i | 0.126333 | − | 0.0729384i | ||||
\(411\) | −8.51571 | − | 30.5184i | −0.420049 | − | 1.50536i | ||||
\(412\) | 5.05487 | + | 13.8881i | 0.249036 | + | 0.684220i | ||||
\(413\) | 2.68135 | + | 15.2067i | 0.131941 | + | 0.748273i | ||||
\(414\) | −2.58603 | + | 16.6700i | −0.127097 | + | 0.819285i | ||||
\(415\) | −3.53224 | − | 1.28563i | −0.173391 | − | 0.0631091i | ||||
\(416\) | −1.91225 | − | 2.27894i | −0.0937560 | − | 0.111734i | ||||
\(417\) | 2.84486 | + | 2.78677i | 0.139313 | + | 0.136469i | ||||
\(418\) | 10.1725 | − | 1.25139i | 0.497552 | − | 0.0612073i | ||||
\(419\) | 19.2304i | 0.939467i | 0.882808 | + | 0.469733i | \(0.155650\pi\) | ||||
−0.882808 | + | 0.469733i | \(0.844350\pi\) | |||||||
\(420\) | 0.0428818 | − | 0.556153i | 0.00209242 | − | 0.0271375i | ||||
\(421\) | −11.8370 | + | 32.5219i | −0.576900 | + | 1.58502i | 0.216476 | + | 0.976288i | \(0.430544\pi\) |
−0.793376 | + | 0.608732i | \(0.791678\pi\) | |||||||
\(422\) | 13.6823 | + | 2.41255i | 0.666042 | + | 0.117441i | ||||
\(423\) | 1.12538 | + | 5.69302i | 0.0547180 | + | 0.276804i | ||||
\(424\) | −5.40249 | + | 1.96634i | −0.262368 | + | 0.0954941i | ||||
\(425\) | −3.82830 | − | 2.21027i | −0.185700 | − | 0.107214i | ||||
\(426\) | −4.08721 | + | 15.9082i | −0.198026 | + | 0.770757i | ||||
\(427\) | 0.819655 | + | 0.687772i | 0.0396659 | + | 0.0332836i | ||||
\(428\) | 12.3860 | + | 10.3931i | 0.598700 | + | 0.502369i | ||||
\(429\) | 3.01491 | − | 11.7346i | 0.145561 | − | 0.566553i | ||||
\(430\) | 1.10771 | + | 0.639535i | 0.0534184 | + | 0.0308411i | ||||
\(431\) | 30.2120 | − | 10.9963i | 1.45526 | − | 0.529671i | 0.511205 | − | 0.859459i | \(-0.329199\pi\) |
0.944055 | + | 0.329788i | \(0.106977\pi\) | |||||||
\(432\) | −4.34661 | − | 2.84728i | −0.209126 | − | 0.136990i | ||||
\(433\) | −22.7212 | − | 4.00636i | −1.09191 | − | 0.192534i | −0.401435 | − | 0.915888i | \(-0.631488\pi\) |
−0.690477 | + | 0.723354i | \(0.742599\pi\) | |||||||
\(434\) | −4.28943 | + | 11.7851i | −0.205899 | + | 0.565703i | ||||
\(435\) | −0.0891011 | + | 1.15559i | −0.00427207 | + | 0.0554063i | ||||
\(436\) | − | 18.2651i | − | 0.874740i | ||||||
\(437\) | 7.17158 | + | 23.4380i | 0.343063 | + | 1.12119i | ||||
\(438\) | −0.422473 | − | 0.413847i | −0.0201865 | − | 0.0197744i | ||||
\(439\) | 7.57338 | + | 9.02561i | 0.361458 | + | 0.430769i | 0.915871 | − | 0.401473i | \(-0.131502\pi\) |
−0.554413 | + | 0.832242i | \(0.687057\pi\) | |||||||
\(440\) | 0.588409 | + | 0.214163i | 0.0280513 | + | 0.0102098i | ||||
\(441\) | −16.4163 | − | 2.54668i | −0.781730 | − | 0.121271i | ||||
\(442\) | 0.463295 | + | 2.62748i | 0.0220367 | + | 0.124976i | ||||
\(443\) | −7.28357 | − | 20.0114i | −0.346053 | − | 0.950772i | −0.983600 | − | 0.180361i | \(-0.942273\pi\) |
0.637548 | − | 0.770411i | \(-0.279949\pi\) | |||||||
\(444\) | −1.84307 | − | 6.60514i | −0.0874681 | − | 0.313466i | ||||
\(445\) | 2.83668 | − | 1.63776i | 0.134471 | − | 0.0776371i | ||||
\(446\) | −8.00962 | + | 9.54549i | −0.379266 | + | 0.451992i | ||||
\(447\) | 13.5000 | − | 1.32154i | 0.638530 | − | 0.0625068i | ||||
\(448\) | 0.604656 | + | 1.04730i | 0.0285673 | + | 0.0494800i | ||||
\(449\) | 5.96300 | − | 10.3282i | 0.281411 | − | 0.487419i | −0.690321 | − | 0.723503i | \(-0.742531\pi\) |
0.971733 | + | 0.236084i | \(0.0758641\pi\) | |||||||
\(450\) | −5.34308 | − | 13.7882i | −0.251875 | − | 0.649981i | ||||
\(451\) | −25.6837 | + | 4.52874i | −1.20940 | + | 0.213250i | ||||
\(452\) | 0.416790 | − | 2.36373i | 0.0196041 | − | 0.111181i | ||||
\(453\) | −17.3933 | + | 8.33012i | −0.817211 | + | 0.391383i | ||||
\(454\) | 1.25592 | − | 1.05384i | 0.0589431 | − | 0.0494591i | ||||
\(455\) | −0.958074 | −0.0449152 | ||||||||
\(456\) | −7.48702 | − | 0.971852i | −0.350612 | − | 0.0455111i | ||||
\(457\) | −19.1338 | −0.895044 | −0.447522 | − | 0.894273i | \(-0.647693\pi\) | ||||
−0.447522 | + | 0.894273i | \(0.647693\pi\) | |||||||
\(458\) | −9.31102 | + | 7.81288i | −0.435076 | + | 0.365072i | ||||
\(459\) | 2.09915 | + | 4.16050i | 0.0979799 | + | 0.194195i | ||||
\(460\) | −0.260034 | + | 1.47473i | −0.0121242 | + | 0.0687595i | ||||
\(461\) | 29.6765 | − | 5.23277i | 1.38217 | − | 0.243715i | 0.567376 | − | 0.823459i | \(-0.307959\pi\) |
0.814798 | + | 0.579744i | \(0.196848\pi\) | |||||||
\(462\) | −2.03527 | + | 4.48484i | −0.0946891 | + | 0.208654i | ||||
\(463\) | 12.7896 | − | 22.1523i | 0.594385 | − | 1.02950i | −0.399248 | − | 0.916843i | \(-0.630729\pi\) |
0.993633 | − | 0.112662i | \(-0.0359378\pi\) | |||||||
\(464\) | −1.25637 | − | 2.17610i | −0.0583256 | − | 0.101023i | ||||
\(465\) | −0.466044 | − | 4.76082i | −0.0216123 | − | 0.220778i | ||||
\(466\) | 1.54847 | − | 1.84539i | 0.0717313 | − | 0.0854860i | ||||
\(467\) | 24.6450 | − | 14.2288i | 1.14044 | − | 0.658431i | 0.193898 | − | 0.981022i | \(-0.437887\pi\) |
0.946539 | + | 0.322591i | \(0.104554\pi\) | |||||||
\(468\) | −4.30203 | + | 7.81952i | −0.198861 | + | 0.361458i | ||||
\(469\) | −2.11611 | − | 5.81397i | −0.0977131 | − | 0.268464i | ||||
\(470\) | 0.0894536 | + | 0.507317i | 0.00412619 | + | 0.0234008i | ||||
\(471\) | −29.8912 | + | 21.3929i | −1.37731 | + | 0.985732i | ||||
\(472\) | 11.9986 | + | 4.36714i | 0.552281 | + | 0.201014i | ||||
\(473\) | −7.25924 | − | 8.65122i | −0.333780 | − | 0.397784i | ||||
\(474\) | −8.28942 | + | 8.46221i | −0.380746 | + | 0.388682i | ||||
\(475\) | −15.7168 | − | 14.6494i | −0.721134 | − | 0.672160i | ||||
\(476\) | − | 1.08455i | − | 0.0497101i | ||||||
\(477\) | 11.3567 | + | 12.9809i | 0.519989 | + | 0.594357i | ||||
\(478\) | −6.54821 | + | 17.9910i | −0.299508 | + | 0.822891i | ||||
\(479\) | −12.1691 | − | 2.14575i | −0.556022 | − | 0.0980417i | −0.111426 | − | 0.993773i | \(-0.535542\pi\) |
−0.444596 | + | 0.895731i | \(0.646653\pi\) | |||||||
\(480\) | −0.380548 | − | 0.260655i | −0.0173696 | − | 0.0118972i | ||||
\(481\) | −11.0679 | + | 4.02840i | −0.504655 | + | 0.183679i | ||||
\(482\) | 3.63362 | + | 2.09787i | 0.165507 | + | 0.0955554i | ||||
\(483\) | −11.4077 | − | 2.93090i | −0.519066 | − | 0.133361i | ||||
\(484\) | 4.19126 | + | 3.51689i | 0.190512 | + | 0.159859i | ||||
\(485\) | −1.23285 | − | 1.03449i | −0.0559810 | − | 0.0469736i | ||||
\(486\) | −3.25304 | + | 15.2453i | −0.147561 | + | 0.691539i | ||||
\(487\) | 24.3442 | + | 14.0551i | 1.10314 | + | 0.636899i | 0.937044 | − | 0.349210i | \(-0.113550\pi\) |
0.166097 | + | 0.986109i | \(0.446883\pi\) | |||||||
\(488\) | 0.831427 | − | 0.302615i | 0.0376369 | − | 0.0136987i | ||||
\(489\) | 3.40734 | − | 4.97461i | 0.154085 | − | 0.224959i | ||||
\(490\) | −1.45229 | − | 0.256078i | −0.0656077 | − | 0.0115684i | ||||
\(491\) | 1.17147 | − | 3.21859i | 0.0528678 | − | 0.145253i | −0.910448 | − | 0.413624i | \(-0.864263\pi\) |
0.963316 | + | 0.268371i | \(0.0864852\pi\) | |||||||
\(492\) | 19.1544 | + | 1.47689i | 0.863548 | + | 0.0665833i | ||||
\(493\) | 2.25350i | 0.101493i | ||||||||
\(494\) | −0.675701 | + | 12.9498i | −0.0304012 | + | 0.582641i | ||||
\(495\) | −0.0387486 | − | 1.87812i | −0.00174162 | − | 0.0844151i | ||||
\(496\) | 6.66618 | + | 7.94444i | 0.299320 | + | 0.356716i | ||||
\(497\) | −10.7762 | − | 3.92222i | −0.483379 | − | 0.175936i | ||||
\(498\) | −14.2286 | − | 19.8809i | −0.637598 | − | 0.890884i | ||||
\(499\) | 6.64566 | + | 37.6894i | 0.297500 | + | 1.68721i | 0.656862 | + | 0.754010i | \(0.271883\pi\) |
−0.359362 | + | 0.933198i | \(0.617006\pi\) | |||||||
\(500\) | −0.904364 | − | 2.48472i | −0.0404444 | − | 0.111120i | ||||
\(501\) | −34.2670 | + | 9.56171i | −1.53094 | + | 0.427186i | ||||
\(502\) | 3.65031 | − | 2.10751i | 0.162921 | − | 0.0940626i | ||||
\(503\) | 10.1578 | − | 12.1056i | 0.452916 | − | 0.539764i | −0.490472 | − | 0.871457i | \(-0.663175\pi\) |
0.943387 | + | 0.331693i | \(0.107620\pi\) | |||||||
\(504\) | 2.27417 | − | 2.82667i | 0.101300 | − | 0.125910i | ||||
\(505\) | −1.38034 | − | 2.39082i | −0.0614244 | − | 0.106390i | ||||
\(506\) | 6.61088 | − | 11.4504i | 0.293889 | − | 0.509031i | ||||
\(507\) | −6.54512 | − | 2.97024i | −0.290679 | − | 0.131913i | ||||
\(508\) | −5.82811 | + | 1.02765i | −0.258581 | + | 0.0455947i | ||||
\(509\) | −1.72136 | + | 9.76234i | −0.0762981 | + | 0.432708i | 0.922599 | + | 0.385760i | \(0.126061\pi\) |
−0.998897 | + | 0.0469483i | \(0.985050\pi\) | |||||||
\(510\) | 0.178682 | + | 0.373088i | 0.00791215 | + | 0.0165206i | ||||
\(511\) | 0.316310 | − | 0.265415i | 0.0139927 | − | 0.0117413i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | 5.39730 | + | 21.9970i | 0.238296 | + | 0.971192i | ||||
\(514\) | 17.7732 | 0.783941 | ||||||||
\(515\) | 3.01505 | − | 2.52993i | 0.132859 | − | 0.111482i | ||||
\(516\) | 3.59335 | + | 7.50294i | 0.158189 | + | 0.330299i | ||||
\(517\) | 0.789817 | − | 4.47928i | 0.0347361 | − | 0.196998i | ||||
\(518\) | 4.71512 | − | 0.831403i | 0.207170 | − | 0.0365297i | ||||
\(519\) | −13.1431 | − | 5.96449i | −0.576920 | − | 0.261812i | ||||
\(520\) | −0.396123 | + | 0.686106i | −0.0173712 | + | 0.0300877i | ||||
\(521\) | 6.93036 | + | 12.0037i | 0.303625 | + | 0.525894i | 0.976954 | − | 0.213449i | \(-0.0684697\pi\) |
−0.673329 | + | 0.739343i | \(0.735136\pi\) | |||||||
\(522\) | −4.72533 | + | 5.87334i | −0.206822 | + | 0.257069i | ||||
\(523\) | 24.0581 | − | 28.6713i | 1.05199 | − | 1.25371i | 0.0856778 | − | 0.996323i | \(-0.472694\pi\) |
0.966309 | − | 0.257386i | \(-0.0828611\pi\) | |||||||
\(524\) | −14.9657 | + | 8.64045i | −0.653780 | + | 0.377460i | ||||
\(525\) | 9.94452 | − | 2.77487i | 0.434014 | − | 0.121105i | ||||
\(526\) | −0.383160 | − | 1.05272i | −0.0167066 | − | 0.0459010i | ||||
\(527\) | −1.61506 | − | 9.15947i | −0.0703532 | − | 0.398993i | ||||
\(528\) | 2.37023 | + | 3.31181i | 0.103151 | + | 0.144128i | ||||
\(529\) | 8.09973 | + | 2.94806i | 0.352162 | + | 0.128177i | ||||
\(530\) | 0.984142 | + | 1.17286i | 0.0427484 | + | 0.0509456i | ||||
\(531\) | −0.790147 | − | 38.2978i | −0.0342895 | − | 1.66198i | ||||
\(532\) | 1.18460 | − | 5.13644i | 0.0513590 | − | 0.222693i | ||||
\(533\) | − | 32.9970i | − | 1.42926i | ||||||
\(534\) | 21.2408 | + | 1.63776i | 0.919179 | + | 0.0708727i | ||||
\(535\) | 1.47269 | − | 4.04618i | 0.0636699 | − | 0.174932i | ||||
\(536\) | −5.03849 | − | 0.888422i | −0.217630 | − | 0.0383740i | ||||
\(537\) | −8.83404 | + | 12.8974i | −0.381217 | + | 0.556565i | ||||
\(538\) | 18.2909 | − | 6.65734i | 0.788576 | − | 0.287018i | ||||
\(539\) | 11.2761 | + | 6.51028i | 0.485698 | + | 0.280418i | ||||
\(540\) | −0.316622 | + | 1.34706i | −0.0136253 | + | 0.0579683i | ||||
\(541\) | 6.17119 | + | 5.17824i | 0.265320 | + | 0.222630i | 0.765736 | − | 0.643155i | \(-0.222375\pi\) |
−0.500416 | + | 0.865785i | \(0.666819\pi\) | |||||||
\(542\) | −0.243639 | − | 0.204438i | −0.0104652 | − | 0.00878135i | ||||
\(543\) | −15.4235 | − | 3.96266i | −0.661884 | − | 0.170054i | ||||
\(544\) | −0.776676 | − | 0.448414i | −0.0332997 | − | 0.0192256i | ||||
\(545\) | −4.57078 | + | 1.66363i | −0.195791 | + | 0.0712620i | ||||
\(546\) | −5.14096 | − | 3.52128i | −0.220013 | − | 0.150697i | ||||
\(547\) | 25.2004 | + | 4.44352i | 1.07749 | + | 0.189991i | 0.684106 | − | 0.729382i | \(-0.260192\pi\) |
0.393386 | + | 0.919373i | \(0.371303\pi\) | |||||||
\(548\) | 6.25654 | − | 17.1897i | 0.267266 | − | 0.734308i | ||||
\(549\) | −1.74777 | − | 1.99773i | −0.0745930 | − | 0.0852611i | ||||
\(550\) | 11.5898i | 0.494192i | ||||||||
\(551\) | −2.46140 | + | 10.6726i | −0.104859 | + | 0.454670i | ||||
\(552\) | −6.81550 | + | 6.95756i | −0.290087 | + | 0.296133i | ||||
\(553\) | −5.31631 | − | 6.33574i | −0.226073 | − | 0.269423i | ||||
\(554\) | 20.6128 | + | 7.50244i | 0.875753 | + | 0.318748i | ||||
\(555\) | −1.48504 | + | 1.06283i | −0.0630366 | + | 0.0451147i | ||||
\(556\) | 0.399256 | + | 2.26430i | 0.0169322 | + | 0.0960275i | ||||
\(557\) | −4.99606 | − | 13.7266i | −0.211690 | − | 0.581613i | 0.787718 | − | 0.616037i | \(-0.211263\pi\) |
−0.999407 | + | 0.0344238i | \(0.989040\pi\) | |||||||
\(558\) | 14.9970 | − | 27.2591i | 0.634874 | − | 1.15397i | ||||
\(559\) | 12.3743 | − | 7.14431i | 0.523377 | − | 0.302172i | ||||
\(560\) | 0.207009 | − | 0.246703i | 0.00874771 | − | 0.0104251i | ||||
\(561\) | −0.355841 | − | 3.63505i | −0.0150236 | − | 0.153472i | ||||
\(562\) | −7.54402 | − | 13.0666i | −0.318225 | − | 0.551182i | ||||
\(563\) | 12.5968 | − | 21.8184i | 0.530893 | − | 0.919534i | −0.468457 | − | 0.883486i | \(-0.655190\pi\) |
0.999350 | − | 0.0360479i | \(-0.0114769\pi\) | |||||||
\(564\) | −1.38458 | + | 3.05100i | −0.0583011 | + | 0.128470i | ||||
\(565\) | −0.629478 | + | 0.110994i | −0.0264824 | + | 0.00466955i | ||||
\(566\) | −1.15312 | + | 6.53969i | −0.0484694 | + | 0.274884i | ||||
\(567\) | −10.3723 | − | 3.29748i | −0.435594 | − | 0.138481i | ||||
\(568\) | −7.26434 | + | 6.09550i | −0.304805 | + | 0.255762i | ||||
\(569\) | −42.1013 | −1.76498 | −0.882490 | − | 0.470332i | \(-0.844134\pi\) | ||||
−0.882490 | + | 0.470332i | \(0.844134\pi\) | |||||||
\(570\) | 0.438733 | + | 1.96212i | 0.0183765 | + | 0.0821842i | ||||
\(571\) | −12.9487 | −0.541887 | −0.270944 | − | 0.962595i | \(-0.587336\pi\) | ||||
−0.270944 | + | 0.962595i | \(0.587336\pi\) | |||||||
\(572\) | 5.35850 | − | 4.49632i | 0.224050 | − | 0.188000i | ||||
\(573\) | −11.4544 | + | 5.48581i | −0.478515 | + | 0.229173i | ||||
\(574\) | −2.32919 | + | 13.2095i | −0.0972184 | + | 0.551353i | ||||
\(575\) | −27.2958 | + | 4.81298i | −1.13831 | + | 0.200715i | ||||
\(576\) | −1.08399 | − | 2.79731i | −0.0451663 | − | 0.116555i | ||||
\(577\) | 6.43762 | − | 11.1503i | 0.268002 | − | 0.464192i | −0.700344 | − | 0.713805i | \(-0.746970\pi\) |
0.968346 | + | 0.249613i | \(0.0803034\pi\) | |||||||
\(578\) | −8.09785 | − | 14.0259i | −0.336826 | − | 0.583400i | ||||
\(579\) | −3.09018 | + | 0.302503i | −0.128424 | + | 0.0125716i | ||||
\(580\) | −0.430128 | + | 0.512607i | −0.0178601 | + | 0.0212848i | ||||
\(581\) | 14.7826 | − | 8.53474i | 0.613286 | − | 0.354081i | ||||
\(582\) | −2.81328 | − | 10.0822i | −0.116614 | − | 0.417920i | ||||
\(583\) | −4.62350 | − | 12.7030i | −0.191486 | − | 0.526103i | ||||
\(584\) | −0.0592912 | − | 0.336257i | −0.00245349 | − | 0.0139144i | ||||
\(585\) | 2.34865 | + | 0.364348i | 0.0971046 | + | 0.0150639i | ||||
\(586\) | −26.6925 | − | 9.71527i | −1.10266 | − | 0.401334i | ||||
\(587\) | −11.6998 | − | 13.9432i | −0.482900 | − | 0.575498i | 0.468497 | − | 0.883465i | \(-0.344796\pi\) |
−0.951397 | + | 0.307967i | \(0.900351\pi\) | |||||||
\(588\) | −6.85169 | − | 6.71179i | −0.282559 | − | 0.276790i | ||||
\(589\) | 2.35551 | − | 45.1435i | 0.0970573 | − | 1.86011i | ||||
\(590\) | − | 3.40038i | − | 0.139992i | ||||||
\(591\) | −1.05362 | + | 13.6649i | −0.0433402 | + | 0.562098i | ||||
\(592\) | 1.35411 | − | 3.72039i | 0.0556537 | − | 0.152907i | ||||
\(593\) | 6.08719 | + | 1.07334i | 0.249971 | + | 0.0440766i | 0.297230 | − | 0.954806i | \(-0.403937\pi\) |
−0.0472585 | + | 0.998883i | \(0.515048\pi\) | |||||||
\(594\) | 6.69485 | − | 10.2203i | 0.274693 | − | 0.419342i | ||||
\(595\) | −0.271404 | + | 0.0987830i | −0.0111265 | + | 0.00404971i | ||||
\(596\) | 6.78228 | + | 3.91575i | 0.277813 | + | 0.160395i | ||||
\(597\) | −4.50854 | + | 17.5481i | −0.184522 | + | 0.718197i | ||||
\(598\) | 12.8147 | + | 10.7528i | 0.524034 | + | 0.439717i | ||||
\(599\) | 27.9659 | + | 23.4662i | 1.14266 | + | 0.958803i | 0.999522 | − | 0.0308999i | \(-0.00983730\pi\) |
0.143135 | + | 0.989703i | \(0.454282\pi\) | |||||||
\(600\) | 2.12447 | − | 8.26886i | 0.0867312 | − | 0.337575i | ||||
\(601\) | 2.01662 | + | 1.16430i | 0.0822597 | + | 0.0474927i | 0.540566 | − | 0.841302i | \(-0.318210\pi\) |
−0.458306 | + | 0.888795i | \(0.651544\pi\) | |||||||
\(602\) | −5.45804 | + | 1.98656i | −0.222453 | + | 0.0809663i | ||||
\(603\) | 2.97649 | + | 15.0573i | 0.121212 | + | 0.613180i | ||||
\(604\) | −10.9652 | − | 1.93345i | −0.446166 | − | 0.0786712i | ||||
\(605\) | 0.498339 | − | 1.36918i | 0.0202604 | − | 0.0556649i | ||||
\(606\) | 1.38034 | − | 17.9022i | 0.0560725 | − | 0.727229i | ||||
\(607\) | 24.4621i | 0.992887i | 0.868069 | + | 0.496443i | \(0.165361\pi\) | ||||
−0.868069 | + | 0.496443i | \(0.834639\pi\) | |||||||
\(608\) | −3.18858 | − | 2.97203i | −0.129314 | − | 0.120532i | ||||
\(609\) | −3.75981 | − | 3.68304i | −0.152355 | − | 0.149244i | ||||
\(610\) | −0.151457 | − | 0.180499i | −0.00613230 | − | 0.00730819i | ||||
\(611\) | 5.40766 | + | 1.96823i | 0.218770 | + | 0.0796259i | ||||
\(612\) | −0.412444 | + | 2.65868i | −0.0166721 | + | 0.107471i | ||||
\(613\) | −6.30039 | − | 35.7313i | −0.254470 | − | 1.44317i | −0.797428 | − | 0.603414i | \(-0.793807\pi\) |
0.542958 | − | 0.839760i | \(-0.317304\pi\) | |||||||
\(614\) | −1.49097 | − | 4.09641i | −0.0601707 | − | 0.165318i | ||||
\(615\) | −1.37504 | − | 4.92785i | −0.0554471 | − | 0.198710i | ||||
\(616\) | −2.46252 | + | 1.42174i | −0.0992179 | + | 0.0572835i | ||||
\(617\) | 10.3830 | − | 12.3740i | 0.418006 | − | 0.498160i | −0.515416 | − | 0.856940i | \(-0.672363\pi\) |
0.933422 | + | 0.358780i | \(0.116807\pi\) | |||||||
\(618\) | 25.4770 | − | 2.49399i | 1.02483 | − | 0.100323i | ||||
\(619\) | −15.2492 | − | 26.4123i | −0.612916 | − | 1.06160i | −0.990746 | − | 0.135726i | \(-0.956663\pi\) |
0.377831 | − | 0.925875i | \(-0.376670\pi\) | |||||||
\(620\) | 1.38090 | − | 2.39179i | 0.0554582 | − | 0.0960564i | ||||
\(621\) | 26.8504 | + | 11.5231i | 1.07747 | + | 0.462408i | ||||
\(622\) | 4.67465 | − | 0.824268i | 0.187437 | − | 0.0330501i | ||||
\(623\) | −2.58289 | + | 14.6483i | −0.103481 | + | 0.586871i | ||||
\(624\) | −4.64726 | + | 2.22570i | −0.186039 | + | 0.0890991i | ||||
\(625\) | 18.3401 | − | 15.3891i | 0.733602 | − | 0.615565i | ||||
\(626\) | 18.9314 | 0.756651 | ||||||||
\(627\) | 2.28513 | − | 17.6044i | 0.0912594 | − | 0.703051i | ||||
\(628\) | −21.2221 | −0.846856 | ||||||||
\(629\) | −2.71998 | + | 2.28234i | −0.108453 | + | 0.0910028i | ||||
\(630\) | −0.914502 | − | 0.311644i | −0.0364346 | − | 0.0124162i | ||||
\(631\) | −5.03370 | + | 28.5475i | −0.200388 | + | 1.13646i | 0.704145 | + | 0.710056i | \(0.251330\pi\) |
−0.904533 | + | 0.426403i | \(0.859781\pi\) | |||||||
\(632\) | −6.73529 | + | 1.18761i | −0.267915 | + | 0.0472407i | ||||
\(633\) | 9.94438 | − | 21.9131i | 0.395254 | − | 0.870967i | ||||
\(634\) | −15.6694 | + | 27.1401i | −0.622310 | + | 1.07787i | ||||
\(635\) | 0.788005 | + | 1.36486i | 0.0312710 | + | 0.0541630i | ||||
\(636\) | 0.970161 | + | 9.91055i | 0.0384694 | + | 0.392979i | ||||
\(637\) | −10.5892 | + | 12.6198i | −0.419561 | + | 0.500013i | ||||
\(638\) | 5.11670 | − | 2.95413i | 0.202572 | − | 0.116955i | ||||
\(639\) | 24.9255 | + | 13.7132i | 0.986038 | + | 0.542484i | ||||
\(640\) | −0.0910823 | − | 0.250247i | −0.00360035 | − | 0.00989187i | ||||
\(641\) | 4.38869 | + | 24.8895i | 0.173343 | + | 0.983076i | 0.940039 | + | 0.341066i | \(0.110788\pi\) |
−0.766696 | + | 0.642010i | \(0.778101\pi\) | |||||||
\(642\) | 22.7736 | − | 16.2988i | 0.898801 | − | 0.643264i | ||||
\(643\) | 11.3227 | + | 4.12111i | 0.446522 | + | 0.162521i | 0.555488 | − | 0.831525i | \(-0.312532\pi\) |
−0.108966 | + | 0.994046i | \(0.534754\pi\) | |||||||
\(644\) | −4.37103 | − | 5.20919i | −0.172243 | − | 0.205271i | ||||
\(645\) | 1.55029 | − | 1.58261i | 0.0610428 | − | 0.0623152i | ||||
\(646\) | 1.14379 | + | 3.73811i | 0.0450018 | + | 0.147074i | ||||
\(647\) | 27.8093i | 1.09330i | 0.837362 | + | 0.546649i | \(0.184097\pi\) | ||||
−0.837362 | + | 0.546649i | \(0.815903\pi\) | |||||||
\(648\) | −6.64992 | + | 6.06453i | −0.261234 | + | 0.238237i | ||||
\(649\) | −10.2685 | + | 28.2126i | −0.403075 | + | 1.10744i | ||||
\(650\) | −14.4409 | − | 2.54633i | −0.566420 | − | 0.0998752i | ||||
\(651\) | 17.9215 | + | 12.2753i | 0.702400 | + | 0.481106i | ||||
\(652\) | 3.27128 | − | 1.19065i | 0.128113 | − | 0.0466293i | ||||
\(653\) | 2.53710 | + | 1.46480i | 0.0992846 | + | 0.0573220i | 0.548820 | − | 0.835940i | \(-0.315077\pi\) |
−0.449536 | + | 0.893262i | \(0.648411\pi\) | |||||||
\(654\) | −30.6409 | − | 7.87240i | −1.19816 | − | 0.307835i | ||||
\(655\) | 3.52536 | + | 2.95812i | 0.137747 | + | 0.115583i | ||||
\(656\) | 8.49669 | + | 7.12957i | 0.331740 | + | 0.278363i | ||||
\(657\) | −0.876345 | + | 0.530356i | −0.0341895 | + | 0.0206912i | ||||
\(658\) | −2.02588 | − | 1.16964i | −0.0789771 | − | 0.0455975i | ||||
\(659\) | −25.4128 | + | 9.24952i | −0.989944 | + | 0.360310i | −0.785699 | − | 0.618610i | \(-0.787696\pi\) |
−0.204245 | + | 0.978920i | \(0.565474\pi\) | |||||||
\(660\) | 0.612883 | − | 0.894790i | 0.0238564 | − | 0.0348297i | ||||
\(661\) | 13.9832 | + | 2.46561i | 0.543883 | + | 0.0959013i | 0.438838 | − | 0.898566i | \(-0.355390\pi\) |
0.105045 | + | 0.994467i | \(0.466501\pi\) | |||||||
\(662\) | −1.26619 | + | 3.47882i | −0.0492118 | + | 0.135208i | ||||
\(663\) | 4.60746 | + | 0.355255i | 0.178939 | + | 0.0137970i | ||||
\(664\) | − | 14.1150i | − | 0.547770i | ||||||
\(665\) | −1.39327 | + | 0.171396i | −0.0540288 | + | 0.00664645i | ||||
\(666\) | −11.8749 | + | 0.245000i | −0.460145 | + | 0.00949354i | ||||
\(667\) | 9.08225 | + | 10.8238i | 0.351666 | + | 0.419099i | ||||
\(668\) | −19.3011 | − | 7.02504i | −0.746784 | − | 0.271807i | ||||
\(669\) | 12.5610 | + | 17.5509i | 0.485636 | + | 0.678555i | ||||
\(670\) | 0.236593 | + | 1.34178i | 0.00914038 | + | 0.0518377i | ||||
\(671\) | 0.711543 | + | 1.95495i | 0.0274688 | + | 0.0754700i | ||||
\(672\) | 2.01752 | − | 0.562959i | 0.0778275 | − | 0.0217166i | ||||
\(673\) | −4.68491 | + | 2.70483i | −0.180590 | + | 0.104264i | −0.587570 | − | 0.809173i | \(-0.699915\pi\) |
0.406980 | + | 0.913437i | \(0.366582\pi\) | |||||||
\(674\) | −12.8807 | + | 15.3506i | −0.496146 | + | 0.591284i | ||||
\(675\) | −25.4335 | + | 3.02057i | −0.978936 | + | 0.116262i | ||||
\(676\) | −2.07487 | − | 3.59378i | −0.0798026 | − | 0.138222i | ||||
\(677\) | −11.2154 | + | 19.4256i | −0.431043 | + | 0.746588i | −0.996963 | − | 0.0778720i | \(-0.975187\pi\) |
0.565921 | + | 0.824460i | \(0.308521\pi\) | |||||||
\(678\) | −3.78568 | − | 1.71798i | −0.145388 | − | 0.0659787i | ||||
\(679\) | 7.19722 | − | 1.26906i | 0.276204 | − | 0.0487022i | ||||
\(680\) | −0.0414727 | + | 0.235203i | −0.00159041 | + | 0.00901964i | ||||
\(681\) | −1.22658 | − | 2.56110i | −0.0470025 | − | 0.0981414i | ||||
\(682\) | −18.6799 | + | 15.6743i | −0.715290 | + | 0.600200i | ||||
\(683\) | 5.63051 | 0.215446 | 0.107723 | − | 0.994181i | \(-0.465644\pi\) | ||||
0.107723 | + | 0.994181i | \(0.465644\pi\) | |||||||
\(684\) | −4.85731 | + | 12.1411i | −0.185724 | + | 0.464227i | ||||
\(685\) | −4.87153 | −0.186131 | ||||||||
\(686\) | 11.6146 | − | 9.74584i | 0.443449 | − | 0.372098i | ||||
\(687\) | 9.09350 | + | 18.9873i | 0.346939 | + | 0.724410i | ||||
\(688\) | −0.834031 | + | 4.73003i | −0.0317971 | + | 0.180331i | ||||
\(689\) | 16.8437 | − | 2.97000i | 0.641694 | − | 0.113148i | ||||
\(690\) | 2.36188 | + | 1.07184i | 0.0899151 | + | 0.0408044i | ||||
\(691\) | 8.10408 | − | 14.0367i | 0.308294 | − | 0.533980i | −0.669696 | − | 0.742636i | \(-0.733575\pi\) |
0.977989 | + | 0.208655i | \(0.0669087\pi\) | |||||||
\(692\) | −4.16651 | − | 7.21660i | −0.158387 | − | 0.274334i | ||||
\(693\) | 6.64640 | + | 5.34730i | 0.252476 | + | 0.203127i | ||||
\(694\) | 0.183420 | − | 0.218592i | 0.00696254 | − | 0.00829763i | ||||
\(695\) | 0.530267 | − | 0.306150i | 0.0201142 | − | 0.0116129i | ||||
\(696\) | −4.19206 | + | 1.16973i | −0.158900 | + | 0.0443386i | ||||
\(697\) | −3.40218 | − | 9.34740i | −0.128867 | − | 0.354058i | ||||
\(698\) | −2.42716 | − | 13.7651i | −0.0918694 | − | 0.521017i | ||||
\(699\) | −2.42836 | − | 3.39303i | −0.0918491 | − | 0.128336i | ||||
\(700\) | 5.60132 | + | 2.03871i | 0.211710 | + | 0.0770561i | ||||
\(701\) | 25.1621 | + | 29.9870i | 0.950360 | + | 1.13260i | 0.991059 | + | 0.133424i | \(0.0425971\pi\) |
−0.0406990 | + | 0.999171i | \(0.512958\pi\) | |||||||
\(702\) | 11.2636 | + | 10.5872i | 0.425116 | + | 0.399589i | ||||
\(703\) | −15.3748 | + | 7.83829i | −0.579872 | + | 0.295627i | ||||
\(704\) | 2.35132i | 0.0886186i | ||||||||
\(705\) | 0.889613 | + | 0.0685930i | 0.0335048 | + | 0.00258336i | ||||
\(706\) | −7.01582 | + | 19.2758i | −0.264044 | + | 0.725455i | ||||
\(707\) | 12.3459 | + | 2.17692i | 0.464317 | + | 0.0818715i | ||||
\(708\) | 12.4977 | − | 18.2462i | 0.469691 | − | 0.685735i | ||||
\(709\) | −0.294067 | + | 0.107032i | −0.0110439 | + | 0.00401966i | −0.347536 | − | 0.937667i | \(-0.612982\pi\) |
0.336492 | + | 0.941686i | \(0.390759\pi\) | |||||||
\(710\) | 2.18703 | + | 1.26268i | 0.0820779 | + | 0.0473877i | ||||
\(711\) | 10.6231 | + | 17.5533i | 0.398398 | + | 0.658302i | ||||
\(712\) | 9.42217 | + | 7.90614i | 0.353111 | + | 0.296295i | ||||
\(713\) | −44.6726 | − | 37.4847i | −1.67300 | − | 1.40381i | ||||
\(714\) | −1.81940 | − | 0.467448i | −0.0680893 | − | 0.0174938i | ||||
\(715\) | −1.61325 | − | 0.931412i | −0.0603322 | − | 0.0348328i | ||||
\(716\) | −8.48129 | + | 3.08694i | −0.316961 | + | 0.115364i | ||||
\(717\) | 27.3589 | + | 18.7393i | 1.02174 | + | 0.699833i | ||||
\(718\) | −27.5586 | − | 4.85932i | −1.02848 | − | 0.181348i | ||||
\(719\) | −9.97683 | + | 27.4111i | −0.372073 | + | 1.02226i | 0.602486 | + | 0.798130i | \(0.294177\pi\) |
−0.974559 | + | 0.224132i | \(0.928045\pi\) | |||||||
\(720\) | −0.601286 | + | 0.526051i | −0.0224086 | + | 0.0196048i | ||||
\(721\) | 17.8730i | 0.665624i | ||||||||
\(722\) | 1.33405 | + | 18.9531i | 0.0496481 | + | 0.705362i | ||||
\(723\) | 5.08544 | − | 5.19144i | 0.189129 | − | 0.193072i | ||||
\(724\) | −5.90976 | − | 7.04297i | −0.219634 | − | 0.261750i | ||||
\(725\) | −11.6386 | − | 4.23609i | −0.432246 | − | 0.157325i | ||||
\(726\) | 7.70629 | − | 5.51532i | 0.286007 | − | 0.204693i | ||||
\(727\) | 1.39364 | + | 7.90374i | 0.0516873 | + | 0.293133i | 0.999684 | − | 0.0251476i | \(-0.00800557\pi\) |
−0.947996 | + | 0.318281i | \(0.896894\pi\) | |||||||
\(728\) | −1.23046 | − | 3.38067i | −0.0456040 | − | 0.125296i | ||||
\(729\) | 24.1729 | + | 12.0280i | 0.895291 | + | 0.445482i | ||||
\(730\) | −0.0787468 | + | 0.0454645i | −0.00291455 | + | 0.00168272i | ||||
\(731\) | 2.76878 | − | 3.29971i | 0.102407 | − | 0.122044i | ||||
\(732\) | −0.149305 | − | 1.52520i | −0.00551847 | − | 0.0563732i | ||||
\(733\) | −8.60205 | − | 14.8992i | −0.317724 | − | 0.550314i | 0.662289 | − | 0.749249i | \(-0.269585\pi\) |
−0.980013 | + | 0.198935i | \(0.936252\pi\) | |||||||
\(734\) | 0.761157 | − | 1.31836i | 0.0280948 | − | 0.0486617i | ||||
\(735\) | −1.05553 | + | 2.32594i | −0.0389340 | + | 0.0857936i | ||||
\(736\) | −5.53770 | + | 0.976446i | −0.204122 | + | 0.0359923i | ||||
\(737\) | 2.08896 | − | 11.8471i | 0.0769479 | − | 0.436393i | ||||
\(738\) | 10.7333 | − | 31.4963i | 0.395098 | − | 1.15939i | ||||
\(739\) | −19.8776 | + | 16.6793i | −0.731210 | + | 0.613558i | −0.930461 | − | 0.366390i | \(-0.880593\pi\) |
0.199251 | + | 0.979948i | \(0.436149\pi\) | |||||||
\(740\) | −1.05435 | −0.0387587 | ||||||||
\(741\) | 21.4330 | + | 6.71502i | 0.787361 | + | 0.246682i | ||||
\(742\) | −6.95259 | −0.255237 | ||||||||
\(743\) | −35.8677 | + | 30.0966i | −1.31586 | + | 1.10414i | −0.328693 | + | 0.944437i | \(0.606608\pi\) |
−0.987166 | + | 0.159700i | \(0.948947\pi\) | |||||||
\(744\) | 16.2005 | − | 7.75884i | 0.593939 | − | 0.284453i | ||||
\(745\) | 0.362158 | − | 2.05390i | 0.0132684 | − | 0.0752491i | ||||
\(746\) | 4.70209 | − | 0.829106i | 0.172156 | − | 0.0303557i | ||||
\(747\) | −39.4842 | + | 15.3006i | −1.44465 | + | 0.559819i | ||||
\(748\) | 1.05436 | − | 1.82621i | 0.0385514 | − | 0.0667729i | ||||
\(749\) | 9.77655 | + | 16.9335i | 0.357227 | + | 0.618736i | ||||
\(750\) | −4.55807 | + | 0.446197i | −0.166437 | + | 0.0162928i | ||||
\(751\) | −1.93570 | + | 2.30687i | −0.0706346 | + | 0.0841791i | −0.800205 | − | 0.599727i | \(-0.795276\pi\) |
0.729570 | + | 0.683906i | \(0.239720\pi\) | |||||||
\(752\) | −1.67524 | + | 0.967198i | −0.0610895 | + | 0.0352701i | ||||
\(753\) | −1.96217 | − | 7.03199i | −0.0715055 | − | 0.256260i | ||||
\(754\) | 2.55669 | + | 7.02444i | 0.0931091 | + | 0.255815i | ||||
\(755\) | 0.514892 | + | 2.92010i | 0.0187389 | + | 0.106273i | ||||
\(756\) | −3.76175 | − | 5.03339i | −0.136813 | − | 0.183063i | ||||
\(757\) | 6.18347 | + | 2.25060i | 0.224742 | + | 0.0817994i | 0.451937 | − | 0.892050i | \(-0.350733\pi\) |
−0.227195 | + | 0.973849i | \(0.572955\pi\) | |||||||
\(758\) | 8.62162 | + | 10.2748i | 0.313151 | + | 0.373199i | ||||
\(759\) | −16.3594 | − | 16.0254i | −0.593810 | − | 0.581685i | ||||
\(760\) | −0.453318 | + | 1.06863i | −0.0164436 | + | 0.0387633i | ||||
\(761\) | 12.0756i | 0.437741i | 0.975754 | + | 0.218870i | \(0.0702372\pi\) | ||||
−0.975754 | + | 0.218870i | \(0.929763\pi\) | |||||||
\(762\) | −0.788005 | + | 10.2200i | −0.0285464 | + | 0.370231i | ||||
\(763\) | 7.55461 | − | 20.7561i | 0.273495 | − | 0.751422i | ||||
\(764\) | −7.22112 | − | 1.27328i | −0.261251 | − | 0.0460656i | ||||
\(765\) | 0.702893 | − | 0.138946i | 0.0254132 | − | 0.00502362i | ||||
\(766\) | 30.5956 | − | 11.1359i | 1.10546 | − | 0.402356i | ||||
\(767\) | −32.8968 | − | 18.9930i | −1.18784 | − | 0.685797i | ||||
\(768\) | 0.431008 | − | 1.67757i | 0.0155527 | − | 0.0605340i | ||||
\(769\) | −28.1846 | − | 23.6497i | −1.01636 | − | 0.852830i | −0.0271972 | − | 0.999630i | \(-0.508658\pi\) |
−0.989166 | + | 0.146800i | \(0.953103\pi\) | |||||||
\(770\) | 0.580078 | + | 0.486743i | 0.0209045 | + | 0.0175410i | ||||
\(771\) | 7.66037 | − | 29.8157i | 0.275882 | − | 1.07379i | ||||
\(772\) | −1.55248 | − | 0.896322i | −0.0558748 | − | 0.0322593i | ||||
\(773\) | 15.8791 | − | 5.77952i | 0.571132 | − | 0.207875i | −0.0402788 | − | 0.999188i | \(-0.512825\pi\) |
0.611411 | + | 0.791314i | \(0.290602\pi\) | |||||||
\(774\) | 14.1355 | − | 2.79426i | 0.508088 | − | 0.100438i | ||||
\(775\) | 50.3416 | + | 8.87657i | 1.80832 | + | 0.318856i | ||||
\(776\) | 2.06693 | − | 5.67885i | 0.0741986 | − | 0.203859i | ||||
\(777\) | 0.637520 | − | 8.26827i | 0.0228709 | − | 0.296623i | ||||
\(778\) | − | 12.9689i | − | 0.464957i | ||||||
\(779\) | −5.90304 | − | 47.9856i | −0.211498 | − | 1.71926i | ||||
\(780\) | 0.980257 | + | 0.960241i | 0.0350988 | + | 0.0343821i | ||||
\(781\) | −14.3325 | − | 17.0808i | −0.512856 | − | 0.611198i | ||||
\(782\) | 4.73885 | + | 1.72480i | 0.169461 | + | 0.0616788i | ||||
\(783\) | 7.81626 | + | 10.4585i | 0.279330 | + | 0.373757i | ||||
\(784\) | −0.961588 | − | 5.45344i | −0.0343424 | − | 0.194766i | ||||
\(785\) | 1.93296 | + | 5.31077i | 0.0689904 | + | 0.189550i | ||||
\(786\) | 8.04460 | + | 28.8301i | 0.286942 | + | 1.02833i | ||||
\(787\) | −19.2256 | + | 11.0999i | −0.685319 | + | 0.395669i | −0.801856 | − | 0.597517i | \(-0.796154\pi\) |
0.116537 | + | 0.993186i | \(0.462821\pi\) | |||||||
\(788\) | −5.08627 | + | 6.06158i | −0.181191 | + | 0.215935i | ||||
\(789\) | −1.93116 | + | 0.189045i | −0.0687512 | + | 0.00673017i | ||||
\(790\) | 0.910662 | + | 1.57731i | 0.0323999 | + | 0.0561183i | ||||
\(791\) | 1.45129 | − | 2.51372i | 0.0516021 | − | 0.0893774i | ||||
\(792\) | 6.57737 | − | 2.54881i | 0.233717 | − | 0.0905680i | ||||
\(793\) | −2.59220 | + | 0.457074i | −0.0920516 | + | 0.0162312i | ||||
\(794\) | 4.29868 | − | 24.3790i | 0.152555 | − | 0.865180i | ||||
\(795\) | 2.39172 | − | 1.14546i | 0.0848255 | − | 0.0406251i | ||||
\(796\) | −8.01318 | + | 6.72386i | −0.284020 | + | 0.238321i | ||||
\(797\) | 34.5294 | 1.22309 | 0.611547 | − | 0.791208i | \(-0.290547\pi\) | ||||
0.611547 | + | 0.791208i | \(0.290547\pi\) | |||||||
\(798\) | −8.10615 | − | 4.20110i | −0.286955 | − | 0.148717i | ||||
\(799\) | 1.73482 | 0.0613736 | ||||||||
\(800\) | 3.77589 | − | 3.16835i | 0.133498 | − | 0.112018i | ||||
\(801\) | 11.9024 | − | 34.9270i | 0.420550 | − | 1.23408i | ||||
\(802\) | 1.10942 | − | 6.29183i | 0.0391750 | − | 0.222172i | ||||
\(803\) | 0.790647 | − | 0.139412i | 0.0279013 | − | 0.00491976i | ||||
\(804\) | −3.66202 | + | 8.06949i | −0.129149 | + | 0.284589i | ||||
\(805\) | −0.905459 | + | 1.56830i | −0.0319132 | + | 0.0552753i | ||||
\(806\) | −15.4261 | − | 26.7189i | −0.543363 | − | 0.941132i | ||||
\(807\) | −3.28462 | − | 33.5536i | −0.115624 | − | 1.18114i | ||||
\(808\) | 6.66349 | − | 7.94123i | 0.234421 | − | 0.279372i | ||||
\(809\) | −19.0821 | + | 11.0171i | −0.670892 | + | 0.387340i | −0.796415 | − | 0.604751i | \(-0.793273\pi\) |
0.125523 | + | 0.992091i | \(0.459939\pi\) | |||||||
\(810\) | 2.12332 | + | 1.11175i | 0.0746058 | + | 0.0390629i | ||||
\(811\) | −3.43077 | − | 9.42596i | −0.120471 | − | 0.330990i | 0.864769 | − | 0.502169i | \(-0.167465\pi\) |
−0.985240 | + | 0.171179i | \(0.945242\pi\) | |||||||
\(812\) | −0.527663 | − | 2.99253i | −0.0185173 | − | 0.105017i | ||||
\(813\) | −0.447968 | + | 0.320607i | −0.0157109 | + | 0.0112442i | ||||
\(814\) | 8.74782 | + | 3.18395i | 0.306611 | + | 0.111597i | ||||
\(815\) | −0.595911 | − | 0.710179i | −0.0208738 | − | 0.0248765i | ||||
\(816\) | −1.08700 | + | 1.10966i | −0.0380526 | + | 0.0388458i | ||||
\(817\) | 16.7172 | − | 12.6033i | 0.584860 | − | 0.440933i | ||||
\(818\) | 28.9108i | 1.01084i | ||||||||
\(819\) | −8.12297 | + | 7.10660i | −0.283840 | + | 0.248325i | ||||
\(820\) | 1.01025 | − | 2.77565i | 0.0352795 | − | 0.0969297i | ||||
\(821\) | −38.9746 | − | 6.87227i | −1.36022 | − | 0.239844i | −0.554523 | − | 0.832169i | \(-0.687099\pi\) |
−0.805699 | + | 0.592325i | \(0.798210\pi\) | |||||||
\(822\) | −26.1403 | − | 17.9047i | −0.911747 | − | 0.624497i | ||||
\(823\) | 35.1506 | − | 12.7938i | 1.22527 | − | 0.445963i | 0.353297 | − | 0.935511i | \(-0.385061\pi\) |
0.871976 | + | 0.489548i | \(0.162838\pi\) | |||||||
\(824\) | 12.7994 | + | 7.38973i | 0.445888 | + | 0.257433i | ||||
\(825\) | 19.4427 | + | 4.99531i | 0.676909 | + | 0.173914i | ||||
\(826\) | 11.8287 | + | 9.92548i | 0.411574 | + | 0.345351i | ||||
\(827\) | −12.2053 | − | 10.2415i | −0.424421 | − | 0.356132i | 0.405421 | − | 0.914130i | \(-0.367125\pi\) |
−0.829842 | + | 0.557998i | \(0.811570\pi\) | |||||||
\(828\) | 8.73424 | + | 14.4322i | 0.303536 | + | 0.501554i | ||||
\(829\) | 34.9707 | + | 20.1903i | 1.21458 | + | 0.701239i | 0.963754 | − | 0.266793i | \(-0.0859639\pi\) |
0.250828 | + | 0.968032i | \(0.419297\pi\) | |||||||
\(830\) | −3.53224 | + | 1.28563i | −0.122606 | + | 0.0446249i | ||||
\(831\) | 21.4701 | − | 31.3457i | 0.744790 | − | 1.08737i | ||||
\(832\) | −2.92974 | − | 0.516593i | −0.101571 | − | 0.0179096i | ||||
\(833\) | −1.69856 | + | 4.66675i | −0.0588515 | + | 0.161693i | ||||
\(834\) | 3.97059 | + | 0.306150i | 0.137490 | + | 0.0106011i | ||||
\(835\) | 5.46991i | 0.189294i | ||||||||
\(836\) | 6.98819 | − | 7.49736i | 0.241692 | − | 0.259301i | ||||
\(837\) | −39.2651 | − | 36.9074i | −1.35720 | − | 1.27571i | ||||
\(838\) | 12.3611 | + | 14.7313i | 0.427006 | + | 0.508886i | ||||
\(839\) | −34.2630 | − | 12.4707i | −1.18289 | − | 0.430537i | −0.325669 | − | 0.945484i | \(-0.605589\pi\) |
−0.857222 | + | 0.514947i | \(0.827812\pi\) | |||||||
\(840\) | −0.324639 | − | 0.453602i | −0.0112011 | − | 0.0156508i | ||||
\(841\) | −3.93940 | − | 22.3415i | −0.135842 | − | 0.770396i | ||||
\(842\) | 11.8370 | + | 32.5219i | 0.407930 | + | 1.12078i | ||||
\(843\) | −25.1717 | + | 7.02378i | −0.866959 | + | 0.241912i | ||||
\(844\) | 12.0320 | − | 6.94667i | 0.414158 | − | 0.239114i | ||||
\(845\) | −0.710347 | + | 0.846558i | −0.0244367 | + | 0.0291225i | ||||
\(846\) | 4.52150 | + | 3.63772i | 0.155452 | + | 0.125068i | ||||
\(847\) | 3.30826 | + | 5.73007i | 0.113673 | + | 0.196888i | ||||
\(848\) | −2.87460 | + | 4.97896i | −0.0987143 | + | 0.170978i | ||||
\(849\) | 10.4738 | + | 4.75310i | 0.359459 | + | 0.163126i | ||||
\(850\) | −4.35338 | + | 0.767619i | −0.149320 | + | 0.0263291i | ||||
\(851\) | −3.86590 | + | 21.9246i | −0.132521 | + | 0.751566i | ||||
\(852\) | 7.09463 | + | 14.8136i | 0.243058 | + | 0.507507i | ||||
\(853\) | −1.13152 | + | 0.949455i | −0.0387424 | + | 0.0325087i | −0.661953 | − | 0.749545i | \(-0.730272\pi\) |
0.623211 | + | 0.782054i | \(0.285828\pi\) | |||||||
\(854\) | 1.06998 | 0.0366141 | ||||||||
\(855\) | 3.48069 | + | 0.109686i | 0.119037 | + | 0.00375118i | ||||
\(856\) | 16.1688 | 0.552637 | ||||||||
\(857\) | 33.3088 | − | 27.9494i | 1.13781 | − | 0.954734i | 0.138443 | − | 0.990370i | \(-0.455790\pi\) |
0.999365 | + | 0.0356363i | \(0.0113458\pi\) | |||||||
\(858\) | −5.23332 | − | 10.9272i | −0.178662 | − | 0.373048i | ||||
\(859\) | −3.97170 | + | 22.5246i | −0.135513 | + | 0.768530i | 0.838989 | + | 0.544149i | \(0.183147\pi\) |
−0.974501 | + | 0.224381i | \(0.927964\pi\) | |||||||
\(860\) | 1.25964 | − | 0.222108i | 0.0429533 | − | 0.00757383i | ||||
\(861\) | 21.1559 | + | 9.60076i | 0.720991 | + | 0.327193i | ||||
\(862\) | 16.0755 | − | 27.8435i | 0.547532 | − | 0.948354i | ||||
\(863\) | −2.34962 | − | 4.06966i | −0.0799820 | − | 0.138533i | 0.823260 | − | 0.567665i | \(-0.192153\pi\) |
−0.903242 | + | 0.429132i | \(0.858820\pi\) | |||||||
\(864\) | −5.15989 | + | 0.612805i | −0.175543 | + | 0.0208481i | ||||
\(865\) | −1.42644 | + | 1.69996i | −0.0485003 | + | 0.0578004i | ||||
\(866\) | −19.9807 | + | 11.5359i | −0.678972 | + | 0.392005i | ||||
\(867\) | −27.0196 | + | 7.53942i | −0.917634 | + | 0.256052i | ||||
\(868\) | 4.28943 | + | 11.7851i | 0.145593 | + | 0.400013i | ||||
\(869\) | −2.79245 | − | 15.8368i | −0.0947275 | − | 0.537227i | ||||
\(870\) | 0.674544 | + | 0.942507i | 0.0228692 | + | 0.0319540i | ||||
\(871\) | 14.3025 | + | 5.20569i | 0.484623 | + | 0.176388i | ||||
\(872\) | −11.7406 | − | 13.9919i | −0.397586 | − | 0.473825i | ||||
\(873\) | −18.1261 | + | 0.373970i | −0.613475 | + | 0.0126570i | ||||
\(874\) | 20.5594 | + | 13.3447i | 0.695432 | + | 0.451393i | ||||
\(875\) | − | 3.19764i | − | 0.108100i | ||||||
\(876\) | −0.589649 | − | 0.0454645i | −0.0199224 | − | 0.00153610i | ||||
\(877\) | 5.78823 | − | 15.9030i | 0.195455 | − | 0.537007i | −0.802788 | − | 0.596264i | \(-0.796651\pi\) |
0.998243 | + | 0.0592572i | \(0.0188732\pi\) | |||||||
\(878\) | 11.6031 | + | 2.04594i | 0.391586 | + | 0.0690471i | ||||
\(879\) | −27.8027 | + | 40.5911i | −0.937762 | + | 1.36910i | ||||
\(880\) | 0.588409 | − | 0.214163i | 0.0198353 | − | 0.00721945i | ||||
\(881\) | 8.11257 | + | 4.68379i | 0.273319 | + | 0.157801i | 0.630395 | − | 0.776274i | \(-0.282893\pi\) |
−0.357076 | + | 0.934075i | \(0.616226\pi\) | |||||||
\(882\) | −14.2126 | + | 8.60134i | −0.478564 | + | 0.289622i | ||||
\(883\) | −9.97646 | − | 8.37124i | −0.335735 | − | 0.281715i | 0.459297 | − | 0.888283i | \(-0.348101\pi\) |
−0.795032 | + | 0.606568i | \(0.792546\pi\) | |||||||
\(884\) | 2.04382 | + | 1.71496i | 0.0687409 | + | 0.0576805i | ||||
\(885\) | −5.70437 | − | 1.46559i | −0.191750 | − | 0.0492653i | ||||
\(886\) | −18.4426 | − | 10.6479i | −0.619593 | − | 0.357722i | ||||
\(887\) | 19.4826 | − | 7.09109i | 0.654162 | − | 0.238095i | 0.00644793 | − | 0.999979i | \(-0.497948\pi\) |
0.647714 | + | 0.761884i | \(0.275725\pi\) | |||||||
\(888\) | −5.65757 | − | 3.87513i | −0.189856 | − | 0.130041i | ||||
\(889\) | −7.04801 | − | 1.24275i | −0.236383 | − | 0.0416806i | ||||
\(890\) | 1.12029 | − | 3.07798i | 0.0375523 | − | 0.103174i | ||||
\(891\) | −14.2596 | − | 15.6361i | −0.477716 | − | 0.523828i | ||||
\(892\) | 12.4608i | 0.417217i | ||||||||
\(893\) | 8.21616 | + | 1.89487i | 0.274943 | + | 0.0634094i | ||||
\(894\) | 9.49216 | − | 9.69002i | 0.317465 | − | 0.324083i | ||||
\(895\) | 1.54499 | + | 1.84125i | 0.0516433 | + | 0.0615461i | ||||
\(896\) | 1.13638 | + | 0.413609i | 0.0379639 | + | 0.0138177i | ||||
\(897\) | 23.5619 | − | 16.8630i | 0.786708 | − | 0.563040i | ||||
\(898\) | −2.07093 | − | 11.7448i | −0.0691078 | − | 0.391930i | ||||
\(899\) | −8.91269 | − | 24.4874i | −0.297255 | − | 0.816701i | ||||
\(900\) | −12.9559 | − | 7.12789i | −0.431864 | − | 0.237596i | ||||
\(901\) | 4.46527 | − | 2.57803i | 0.148760 | − | 0.0858865i | ||||
\(902\) | −16.7639 | + | 19.9784i | −0.558176 | + | 0.665208i | ||||
\(903\) | 0.980136 | + | 10.0124i | 0.0326169 | + | 0.333193i | ||||
\(904\) | −1.20010 | − | 2.07863i | −0.0399147 | − | 0.0691343i | ||||
\(905\) | −1.22421 | + | 2.12039i | −0.0406940 | + | 0.0704840i | ||||
\(906\) | −7.96957 | + | 17.5615i | −0.264771 | + | 0.583441i | ||||
\(907\) | −13.6673 | + | 2.40991i | −0.453815 | + | 0.0800198i | −0.395883 | − | 0.918301i | \(-0.629562\pi\) |
−0.0579313 | + | 0.998321i | \(0.518450\pi\) | |||||||
\(908\) | 0.284693 | − | 1.61457i | 0.00944787 | − | 0.0535815i | ||||
\(909\) | −29.4373 | − | 10.0316i | −0.976373 | − | 0.332728i | ||||
\(910\) | −0.733927 | + | 0.615838i | −0.0243294 | + | 0.0204148i | ||||
\(911\) | 16.4560 | 0.545212 | 0.272606 | − | 0.962126i | \(-0.412115\pi\) | ||||
0.272606 | + | 0.962126i | \(0.412115\pi\) | |||||||
\(912\) | −6.36009 | + | 4.06808i | −0.210604 | + | 0.134708i | ||||
\(913\) | 33.1889 | 1.09839 | ||||||||
\(914\) | −14.6574 | + | 12.2990i | −0.484823 | + | 0.406815i | ||||
\(915\) | −0.368078 | + | 0.176282i | −0.0121683 | + | 0.00582771i | ||||
\(916\) | −2.11064 | + | 11.9700i | −0.0697374 | + | 0.395501i | ||||
\(917\) | −20.5805 | + | 3.62890i | −0.679629 | + | 0.119837i | ||||
\(918\) | 4.28236 | + | 1.83782i | 0.141339 | + | 0.0606570i | ||||
\(919\) | −26.4636 | + | 45.8364i | −0.872955 | + | 1.51200i | −0.0140292 | + | 0.999902i | \(0.504466\pi\) |
−0.858926 | + | 0.512100i | \(0.828868\pi\) | |||||||
\(920\) | 0.748739 | + | 1.29685i | 0.0246852 | + | 0.0427560i | ||||
\(921\) | −7.51462 | + | 0.735619i | −0.247615 | + | 0.0242395i | ||||
\(922\) | 19.3700 | − | 23.0842i | 0.637916 | − | 0.760239i | ||||
\(923\) | 24.4315 | − | 14.1056i | 0.804174 | − | 0.464290i | ||||
\(924\) | 1.32369 | + | 4.74383i | 0.0435464 | + | 0.156061i | ||||
\(925\) | −6.67453 | − | 18.3381i | −0.219457 | − | 0.602953i | ||||
\(926\) | −4.44179 | − | 25.1907i | −0.145966 | − | 0.827817i | ||||
\(927\) | 6.79695 | − | 43.8143i | 0.223241 | − | 1.43905i | ||||
\(928\) | −2.36121 | − | 0.859409i | −0.0775104 | − | 0.0282115i | ||||
\(929\) | 35.2607 | + | 42.0221i | 1.15687 | + | 1.37870i | 0.912530 | + | 0.409010i | \(0.134126\pi\) |
0.244337 | + | 0.969690i | \(0.421430\pi\) | |||||||
\(930\) | −3.41720 | − | 3.34743i | −0.112055 | − | 0.109767i | ||||
\(931\) | −13.1417 | + | 20.2466i | −0.430702 | + | 0.663555i | ||||
\(932\) | − | 2.40898i | − | 0.0789089i | ||||||
\(933\) | 0.632049 | − | 8.19731i | 0.0206923 | − | 0.268368i | ||||
\(934\) | 9.73308 | − | 26.7414i | 0.318476 | − | 0.875006i | ||||
\(935\) | −0.553038 | − | 0.0975154i | −0.0180863 | − | 0.00318910i | ||||
\(936\) | 1.73075 | + | 8.75539i | 0.0565712 | + | 0.286179i | ||||
\(937\) | −50.8597 | + | 18.5114i | −1.66151 | + | 0.604741i | −0.990599 | − | 0.136794i | \(-0.956320\pi\) |
−0.670914 | + | 0.741536i | \(0.734098\pi\) | |||||||
\(938\) | −5.35819 | − | 3.09355i | −0.174951 | − | 0.101008i | ||||
\(939\) | 8.15959 | − | 31.7587i | 0.266278 | − | 1.03641i | ||||
\(940\) | 0.394622 | + | 0.331127i | 0.0128712 | + | 0.0108002i | ||||
\(941\) | −3.61129 | − | 3.03024i | −0.117725 | − | 0.0987829i | 0.582025 | − | 0.813171i | \(-0.302261\pi\) |
−0.699750 | + | 0.714388i | \(0.746705\pi\) | |||||||
\(942\) | −9.14692 | + | 35.6016i | −0.298023 | + | 1.15996i | ||||
\(943\) | −54.0137 | − | 31.1848i | −1.75893 | − | 1.01552i | ||||
\(944\) | 11.9986 | − | 4.36714i | 0.390522 | − | 0.142138i | ||||
\(945\) | −0.916961 | + | 1.39982i | −0.0298287 | + | 0.0455361i | ||||
\(946\) | −11.1218 | − | 1.96107i | −0.361601 | − | 0.0637600i | ||||
\(947\) | 3.75659 | − | 10.3211i | 0.122073 | − | 0.335392i | −0.863572 | − | 0.504226i | \(-0.831778\pi\) |
0.985645 | + | 0.168834i | \(0.0540002\pi\) | |||||||
\(948\) | −0.910662 | + | 11.8108i | −0.0295769 | + | 0.383596i | ||||
\(949\) | 1.01578i | 0.0329735i | ||||||||
\(950\) | −21.4562 | − | 1.11955i | −0.696130 | − | 0.0363229i | ||||
\(951\) | 38.7758 | + | 37.9840i | 1.25739 | + | 1.23172i | ||||
\(952\) | −0.697133 | − | 0.830810i | −0.0225942 | − | 0.0269267i | ||||
\(953\) | −3.15832 | − | 1.14953i | −0.102308 | − | 0.0372371i | 0.290359 | − | 0.956918i | \(-0.406225\pi\) |
−0.392667 | + | 0.919681i | \(0.628448\pi\) | |||||||
\(954\) | 17.0438 | + | 2.64402i | 0.551812 | + | 0.0856031i | ||||
\(955\) | 0.339083 | + | 1.92303i | 0.0109725 | + | 0.0622279i | ||||
\(956\) | 6.54821 | + | 17.9910i | 0.211784 | + | 0.581872i | ||||
\(957\) | −2.75041 | − | 9.85686i | −0.0889081 | − | 0.318627i | ||||
\(958\) | −10.7014 | + | 6.17844i | −0.345745 | + | 0.199616i | ||||
\(959\) | 14.2196 | − | 16.9463i | 0.459176 | − | 0.547225i | ||||
\(960\) | −0.459063 | + | 0.0449384i | −0.0148162 | + | 0.00145038i | ||||
\(961\) | 38.2760 | + | 66.2960i | 1.23471 | + | 2.13858i | ||||
\(962\) | −5.88913 | + | 10.2003i | −0.189873 | + | 0.328870i | ||||
\(963\) | −17.5268 | − | 45.2291i | −0.564794 | − | 1.45749i | ||||
\(964\) | 4.13200 | − | 0.728583i | 0.133083 | − | 0.0234661i | ||||
\(965\) | −0.0828985 | + | 0.470141i | −0.00266860 | + | 0.0151344i | ||||
\(966\) | −10.6227 | + | 5.08749i | −0.341780 | + | 0.163687i | ||||
\(967\) | −14.0085 | + | 11.7545i | −0.450482 | + | 0.377999i | −0.839615 | − | 0.543183i | \(-0.817219\pi\) |
0.389133 | + | 0.921182i | \(0.372775\pi\) | |||||||
\(968\) | 5.47131 | 0.175854 | ||||||||
\(969\) | 6.76392 | − | 0.307630i | 0.217288 | − | 0.00988251i | ||||
\(970\) | −1.60938 | −0.0516739 | ||||||||
\(971\) | 24.2199 | − | 20.3229i | 0.777254 | − | 0.652193i | −0.165302 | − | 0.986243i | \(-0.552860\pi\) |
0.942555 | + | 0.334050i | \(0.108415\pi\) | |||||||
\(972\) | 7.30749 | + | 13.7696i | 0.234388 | + | 0.441659i | ||||
\(973\) | −0.482826 | + | 2.73824i | −0.0154787 | + | 0.0877839i | ||||
\(974\) | 27.6832 | − | 4.88130i | 0.887028 | − | 0.156407i | ||||
\(975\) | −10.4958 | + | 23.1282i | −0.336134 | + | 0.740694i | ||||
\(976\) | 0.442393 | − | 0.766248i | 0.0141607 | − | 0.0245270i | ||||
\(977\) | 24.2192 | + | 41.9488i | 0.774839 | + | 1.34206i | 0.934885 | + | 0.354952i | \(0.115503\pi\) |
−0.160045 | + | 0.987110i | \(0.551164\pi\) | |||||||
\(978\) | −0.587445 | − | 6.00096i | −0.0187844 | − | 0.191890i | ||||
\(979\) | −18.5898 | + | 22.1545i | −0.594134 | + | 0.708061i | ||||
\(980\) | −1.27712 | + | 0.737346i | −0.0407961 | + | 0.0235536i | ||||
\(981\) | −26.4130 | + | 48.0092i | −0.843301 | + | 1.53281i | ||||
\(982\) | −1.17147 | − | 3.21859i | −0.0373832 | − | 0.102709i | ||||
\(983\) | −4.70703 | − | 26.6949i | −0.150131 | − | 0.851435i | −0.963103 | − | 0.269133i | \(-0.913263\pi\) |
0.812972 | − | 0.582303i | \(-0.197848\pi\) | |||||||
\(984\) | 15.6225 | − | 11.1809i | 0.498026 | − | 0.356433i | ||||
\(985\) | 1.98016 | + | 0.720719i | 0.0630931 | + | 0.0229640i | ||||
\(986\) | 1.44852 | + | 1.72628i | 0.0461303 | + | 0.0549760i | ||||
\(987\) | −2.83533 | + | 2.89443i | −0.0902495 | + | 0.0921307i | ||||
\(988\) | 7.80638 | + | 10.3545i | 0.248354 | + | 0.329420i | ||||
\(989\) | − | 27.0079i | − | 0.858800i | ||||||
\(990\) | −1.23691 | − | 1.41381i | −0.0393117 | − | 0.0449339i | ||||
\(991\) | 16.6261 | − | 45.6797i | 0.528144 | − | 1.45106i | −0.333109 | − | 0.942888i | \(-0.608098\pi\) |
0.861253 | − | 0.508176i | \(-0.169680\pi\) | |||||||
\(992\) | 10.2132 | + | 1.80086i | 0.324269 | + | 0.0571773i | ||||
\(993\) | 5.29022 | + | 3.62351i | 0.167880 | + | 0.114989i | ||||
\(994\) | −10.7762 | + | 3.92222i | −0.341801 | + | 0.124405i | ||||
\(995\) | 2.41248 | + | 1.39285i | 0.0764808 | + | 0.0441562i | ||||
\(996\) | −23.6789 | − | 6.08369i | −0.750295 | − | 0.192769i | ||||
\(997\) | −7.46423 | − | 6.26323i | −0.236394 | − | 0.198358i | 0.516893 | − | 0.856050i | \(-0.327089\pi\) |
−0.753287 | + | 0.657692i | \(0.771533\pi\) | |||||||
\(998\) | 29.3171 | + | 24.6000i | 0.928018 | + | 0.778699i | ||||
\(999\) | −4.70719 | + | 20.0266i | −0.148929 | + | 0.633614i |
(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 | 114.2.l.b.89.1 | yes | 18 | |
3.2 | odd | 2 | 114.2.l.a.89.3 | yes | 18 | ||
4.3 | odd | 2 | 912.2.cc.c.545.3 | 18 | |||
12.11 | even | 2 | 912.2.cc.d.545.1 | 18 | |||
19.3 | odd | 18 | 114.2.l.a.41.3 | ✓ | 18 | ||
57.41 | even | 18 | inner | 114.2.l.b.41.1 | yes | 18 | |
76.3 | even | 18 | 912.2.cc.d.497.1 | 18 | |||
228.155 | odd | 18 | 912.2.cc.c.497.3 | 18 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
114.2.l.a.41.3 | ✓ | 18 | 19.3 | odd | 18 | ||
114.2.l.a.89.3 | yes | 18 | 3.2 | odd | 2 | ||
114.2.l.b.41.1 | yes | 18 | 57.41 | even | 18 | inner | |
114.2.l.b.89.1 | yes | 18 | 1.1 | even | 1 | trivial | |
912.2.cc.c.497.3 | 18 | 228.155 | odd | 18 | |||
912.2.cc.c.545.3 | 18 | 4.3 | odd | 2 | |||
912.2.cc.d.497.1 | 18 | 76.3 | even | 18 | |||
912.2.cc.d.545.1 | 18 | 12.11 | even | 2 |