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 | 41.3 | ||
Root | \(1.40849 - 1.00804i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 114.41 |
Dual form | 114.2.l.a.89.3 |
$q$-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 \(\left(\mathbb{Z}/114\mathbb{Z}\right)^\times\).
\(n\) | \(77\) | \(97\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{13}{18}\right)\) |
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 | ||||
\(3\) | 1.57724 | + | 0.715766i | 0.910619 | + | 0.413248i | ||||
\(4\) | 0.173648 | + | 0.984808i | 0.0868241 | + | 0.492404i | ||||
\(5\) | 0.262261 | + | 0.0462437i | 0.117287 | + | 0.0206808i | 0.231983 | − | 0.972720i | \(-0.425478\pi\) |
−0.114697 | + | 0.993401i | \(0.536590\pi\) | |||||||
\(6\) | −0.748148 | − | 1.56214i | −0.305430 | − | 0.637740i | ||||
\(7\) | 0.604656 | + | 1.04730i | 0.228539 | + | 0.395840i | 0.957375 | − | 0.288847i | \(-0.0932720\pi\) |
−0.728837 | + | 0.684688i | \(0.759939\pi\) | |||||||
\(8\) | 0.500000 | − | 0.866025i | 0.176777 | − | 0.306186i | ||||
\(9\) | 1.97536 | + | 2.25787i | 0.658452 | + | 0.752623i | ||||
\(10\) | −0.171179 | − | 0.204003i | −0.0541315 | − | 0.0645114i | ||||
\(11\) | −2.03630 | − | 1.17566i | −0.613968 | − | 0.354474i | 0.160549 | − | 0.987028i | \(-0.448674\pi\) |
−0.774517 | + | 0.632553i | \(0.782007\pi\) | |||||||
\(12\) | −0.431008 | + | 1.67757i | −0.124421 | + | 0.484272i | ||||
\(13\) | 1.01749 | − | 2.79553i | 0.282201 | − | 0.775340i | −0.714899 | − | 0.699228i | \(-0.753527\pi\) |
0.997099 | − | 0.0761119i | \(-0.0242506\pi\) | |||||||
\(14\) | 0.209995 | − | 1.19094i | 0.0561235 | − | 0.318292i | ||||
\(15\) | 0.380548 | + | 0.260655i | 0.0982572 | + | 0.0673008i | ||||
\(16\) | −0.939693 | + | 0.342020i | −0.234923 | + | 0.0855050i | ||||
\(17\) | −0.576470 | + | 0.687011i | −0.139815 | + | 0.166625i | −0.831408 | − | 0.555663i | \(-0.812465\pi\) |
0.691593 | + | 0.722287i | \(0.256909\pi\) | |||||||
\(18\) | −0.0618817 | − | 2.99936i | −0.0145857 | − | 0.706956i | ||||
\(19\) | 1.97979 | − | 3.88335i | 0.454194 | − | 0.890903i | ||||
\(20\) | 0.266307i | 0.0595480i | ||||||||
\(21\) | 0.204068 | + | 2.08463i | 0.0445312 | + | 0.454903i | ||||
\(22\) | 0.804198 | + | 2.20952i | 0.171456 | + | 0.471070i | ||||
\(23\) | −5.53770 | + | 0.976446i | −1.15469 | + | 0.203603i | −0.718022 | − | 0.696020i | \(-0.754952\pi\) |
−0.436668 | + | 0.899623i | \(0.643841\pi\) | |||||||
\(24\) | 1.40849 | − | 1.00804i | 0.287507 | − | 0.205766i | ||||
\(25\) | −4.63182 | − | 1.68584i | −0.926364 | − | 0.337169i | ||||
\(26\) | −2.57637 | + | 1.48747i | −0.505268 | + | 0.291717i | ||||
\(27\) | 1.49950 | + | 4.97509i | 0.288579 | + | 0.957456i | ||||
\(28\) | −0.926387 | + | 0.777331i | −0.175071 | + | 0.146902i | ||||
\(29\) | −1.92487 | + | 1.61516i | −0.357440 | + | 0.299928i | −0.803769 | − | 0.594941i | \(-0.797175\pi\) |
0.446329 | + | 0.894869i | \(0.352731\pi\) | |||||||
\(30\) | −0.123971 | − | 0.444285i | −0.0226339 | − | 0.0811150i | ||||
\(31\) | −8.98131 | + | 5.18536i | −1.61309 | + | 0.931319i | −0.624443 | + | 0.781070i | \(0.714674\pi\) |
−0.988648 | + | 0.150249i | \(0.951993\pi\) | |||||||
\(32\) | 0.939693 | + | 0.342020i | 0.166116 | + | 0.0604612i | ||||
\(33\) | −2.37023 | − | 3.31181i | −0.412605 | − | 0.576512i | ||||
\(34\) | 0.883204 | − | 0.155733i | 0.151468 | − | 0.0267079i | ||||
\(35\) | 0.110147 | + | 0.302626i | 0.0186182 | + | 0.0511532i | ||||
\(36\) | −1.88055 | + | 2.33742i | −0.313425 | + | 0.389570i | ||||
\(37\) | − | 3.95916i | − | 0.650882i | −0.945562 | − | 0.325441i | \(-0.894487\pi\) | ||
0.945562 | − | 0.325441i | \(-0.105513\pi\) | |||||||
\(38\) | −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 | \(-0.277723\pi\) |
0.984838 | + | 0.173479i | \(0.0555007\pi\) | |||||||
\(42\) | 1.18365 | − | 1.72809i | 0.182641 | − | 0.266650i | ||||
\(43\) | −0.834031 | + | 4.73003i | −0.127189 | + | 0.721322i | 0.852795 | + | 0.522245i | \(0.174905\pi\) |
−0.979984 | + | 0.199077i | \(0.936206\pi\) | |||||||
\(44\) | 0.804198 | − | 2.20952i | 0.121237 | − | 0.333097i | ||||
\(45\) | 0.413647 | + | 0.683499i | 0.0616629 | + | 0.101890i | ||||
\(46\) | 4.86977 | + | 2.81156i | 0.718008 | + | 0.414542i | ||||
\(47\) | −1.24341 | − | 1.48183i | −0.181369 | − | 0.216147i | 0.667698 | − | 0.744432i | \(-0.267280\pi\) |
−0.849067 | + | 0.528285i | \(0.822835\pi\) | |||||||
\(48\) | −1.72693 | − | 0.133153i | −0.249260 | − | 0.0192190i | ||||
\(49\) | 2.76878 | − | 4.79567i | 0.395540 | − | 0.685096i | ||||
\(50\) | 2.46454 | + | 4.26871i | 0.348539 | + | 0.603687i | ||||
\(51\) | −1.40097 | + | 0.670961i | −0.196175 | + | 0.0939533i | ||||
\(52\) | 2.92974 | + | 0.516593i | 0.406282 | + | 0.0716385i | ||||
\(53\) | −0.998339 | − | 5.66186i | −0.137132 | − | 0.777717i | −0.973351 | − | 0.229320i | \(-0.926350\pi\) |
0.836219 | − | 0.548396i | \(-0.184761\pi\) | |||||||
\(54\) | 2.04924 | − | 4.77500i | 0.278866 | − | 0.649795i | ||||
\(55\) | −0.479676 | − | 0.402496i | −0.0646794 | − | 0.0542725i | ||||
\(56\) | 1.20931 | 0.161601 | ||||||||
\(57\) | 5.90217 | − | 4.70791i | 0.781762 | − | 0.623578i | ||||
\(58\) | 2.51274 | 0.329939 | ||||||||
\(59\) | 9.78136 | + | 8.20754i | 1.27342 | + | 1.06853i | 0.994115 | + | 0.108329i | \(0.0345501\pi\) |
0.279310 | + | 0.960201i | \(0.409894\pi\) | |||||||
\(60\) | −0.190614 | + | 0.420029i | −0.0246081 | + | 0.0542255i | ||||
\(61\) | −0.153642 | − | 0.871345i | −0.0196718 | − | 0.111564i | 0.973391 | − | 0.229152i | \(-0.0735951\pi\) |
−0.993063 | + | 0.117587i | \(0.962484\pi\) | |||||||
\(62\) | 10.2132 | + | 1.80086i | 1.29707 | + | 0.228709i | ||||
\(63\) | −1.17024 | + | 3.43401i | −0.147437 | + | 0.432645i | ||||
\(64\) | −0.500000 | − | 0.866025i | −0.0625000 | − | 0.108253i | ||||
\(65\) | 0.396123 | − | 0.686106i | 0.0491331 | − | 0.0851010i | ||||
\(66\) | −0.313086 | + | 4.06055i | −0.0385382 | + | 0.499819i | ||||
\(67\) | 3.28864 | + | 3.91925i | 0.401771 | + | 0.478812i | 0.928559 | − | 0.371184i | \(-0.121048\pi\) |
−0.526788 | + | 0.849997i | \(0.676604\pi\) | |||||||
\(68\) | −0.776676 | − | 0.448414i | −0.0941859 | − | 0.0543782i | ||||
\(69\) | −9.43317 | − | 2.42361i | −1.13562 | − | 0.291769i | ||||
\(70\) | 0.110147 | − | 0.302626i | 0.0131651 | − | 0.0361708i | ||||
\(71\) | 1.64669 | − | 9.33885i | 0.195426 | − | 1.10832i | −0.716384 | − | 0.697706i | \(-0.754204\pi\) |
0.911810 | − | 0.410612i | \(-0.134685\pi\) | |||||||
\(72\) | 2.94305 | − | 0.581775i | 0.346842 | − | 0.0685629i | ||||
\(73\) | 0.320853 | − | 0.116781i | 0.0375530 | − | 0.0136682i | −0.323175 | − | 0.946339i | \(-0.604750\pi\) |
0.360728 | + | 0.932671i | \(0.382528\pi\) | |||||||
\(74\) | −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 | ||||||
\(78\) | −5.12823 | + | 0.502012i | −0.580658 | + | 0.0568416i | ||||
\(79\) | 2.33914 | + | 6.42674i | 0.263174 | + | 0.723064i | 0.998949 | + | 0.0458383i | \(0.0145959\pi\) |
−0.735775 | + | 0.677226i | \(0.763182\pi\) | |||||||
\(80\) | −0.262261 | + | 0.0462437i | −0.0293217 | + | 0.00517020i | ||||
\(81\) | −1.19593 | + | 8.92019i | −0.132881 | + | 0.991132i | ||||
\(82\) | −10.4227 | − | 3.79356i | −1.15100 | − | 0.418929i | ||||
\(83\) | −12.2240 | + | 7.05752i | −1.34176 | + | 0.774663i | −0.987065 | − | 0.160320i | \(-0.948747\pi\) |
−0.354691 | + | 0.934984i | \(0.615414\pi\) | |||||||
\(84\) | −2.01752 | + | 0.562959i | −0.220129 | + | 0.0614238i | ||||
\(85\) | −0.182956 | + | 0.153518i | −0.0198443 | + | 0.0166514i | ||||
\(86\) | 3.67931 | − | 3.08731i | 0.396750 | − | 0.332913i | ||||
\(87\) | −4.19206 | + | 1.16973i | −0.449436 | + | 0.125408i | ||||
\(88\) | −2.03630 | + | 1.17566i | −0.217070 | + | 0.125326i | ||||
\(89\) | 11.5580 | + | 4.20677i | 1.22515 | + | 0.445917i | 0.871933 | − | 0.489626i | \(-0.162867\pi\) |
0.353213 | + | 0.935543i | \(0.385089\pi\) | |||||||
\(90\) | 0.122472 | − | 0.789478i | 0.0129097 | − | 0.0832182i | ||||
\(91\) | 3.54297 | − | 0.624722i | 0.371405 | − | 0.0654887i | ||||
\(92\) | −1.92322 | − | 5.28401i | −0.200510 | − | 0.550896i | ||||
\(93\) | −17.8772 | + | 1.75003i | −1.85378 | + | 0.181469i | ||||
\(94\) | 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 | −0.531892 | − | 0.846812i | \(-0.678519\pi\) |
0.926309 | + | 0.376764i | \(0.122963\pi\) | |||||||
\(98\) | −5.20361 | + | 1.89396i | −0.525644 | + | 0.191319i | ||||
\(99\) | −1.36794 | − | 6.92004i | −0.137483 | − | 0.695490i | ||||
\(100\) | 0.855926 | − | 4.85420i | 0.0855926 | − | 0.485420i | ||||
\(101\) | −3.54557 | + | 9.74137i | −0.352797 | + | 0.969302i | 0.628670 | + | 0.777672i | \(0.283600\pi\) |
−0.981467 | + | 0.191630i | \(0.938623\pi\) | |||||||
\(102\) | 1.50449 | + | 0.386540i | 0.148967 | + | 0.0382732i | ||||
\(103\) | −12.7994 | − | 7.38973i | −1.26116 | − | 0.728131i | −0.287861 | − | 0.957672i | \(-0.592944\pi\) |
−0.973299 | + | 0.229541i | \(0.926278\pi\) | |||||||
\(104\) | −1.91225 | − | 2.27894i | −0.187512 | − | 0.223468i | ||||
\(105\) | −0.0428818 | + | 0.556153i | −0.00418484 | + | 0.0542750i | ||||
\(106\) | −2.87460 | + | 4.97896i | −0.279206 | + | 0.483599i | ||||
\(107\) | 8.08439 | + | 14.0026i | 0.781547 | + | 1.35368i | 0.931040 | + | 0.364917i | \(0.118903\pi\) |
−0.149493 | + | 0.988763i | \(0.547764\pi\) | |||||||
\(108\) | −4.63912 | + | 2.34063i | −0.446399 | + | 0.225228i | ||||
\(109\) | 17.9876 | + | 3.17170i | 1.72290 | + | 0.303794i | 0.945599 | − | 0.325334i | \(-0.105477\pi\) |
0.777302 | + | 0.629128i | \(0.216588\pi\) | |||||||
\(110\) | 0.108734 | + | 0.616659i | 0.0103673 | + | 0.0587961i | ||||
\(111\) | 2.83383 | − | 6.24453i | 0.268975 | − | 0.592705i | ||||
\(112\) | −0.926387 | − | 0.777331i | −0.0875353 | − | 0.0734509i | ||||
\(113\) | −2.40020 | −0.225792 | −0.112896 | − | 0.993607i | \(-0.536013\pi\) | ||||
−0.112896 | + | 0.993607i | \(0.536013\pi\) | |||||||
\(114\) | −7.54751 | − | 0.187376i | −0.706889 | − | 0.0175493i | ||||
\(115\) | −1.49748 | −0.139640 | ||||||||
\(116\) | −1.92487 | − | 1.61516i | −0.178720 | − | 0.149964i | ||||
\(117\) | 8.32184 | − | 3.22481i | 0.769354 | − | 0.298134i | ||||
\(118\) | −2.21725 | − | 12.5747i | −0.204115 | − | 1.15759i | ||||
\(119\) | −1.06807 | − | 0.188329i | −0.0979098 | − | 0.0172641i | ||||
\(120\) | 0.416008 | − | 0.199237i | 0.0379762 | − | 0.0181878i | ||||
\(121\) | −2.73565 | − | 4.73829i | −0.248696 | − | 0.430754i | ||||
\(122\) | −0.442393 | + | 0.766248i | −0.0400524 | + | 0.0693728i | ||||
\(123\) | 19.1544 | + | 1.47689i | 1.72710 | + | 0.133167i | ||||
\(124\) | −6.66618 | − | 7.94444i | −0.598640 | − | 0.713432i | ||||
\(125\) | −2.28993 | − | 1.32209i | −0.204818 | − | 0.118251i | ||||
\(126\) | 3.10380 | − | 1.87839i | 0.276508 | − | 0.167340i | ||||
\(127\) | −2.02408 | + | 5.56112i | −0.179608 | + | 0.493470i | −0.996526 | − | 0.0832849i | \(-0.973459\pi\) |
0.816918 | + | 0.576754i | \(0.195681\pi\) | |||||||
\(128\) | −0.173648 | + | 0.984808i | −0.0153485 | + | 0.0870455i | ||||
\(129\) | −4.70106 | + | 6.86340i | −0.413905 | + | 0.604289i | ||||
\(130\) | −0.744469 | + | 0.270964i | −0.0652942 | + | 0.0237652i | ||||
\(131\) | 11.1080 | − | 13.2379i | 0.970506 | − | 1.15660i | −0.0171319 | − | 0.999853i | \(-0.505454\pi\) |
0.987638 | − | 0.156751i | \(-0.0501020\pi\) | |||||||
\(132\) | 2.84991 | − | 2.90931i | 0.248053 | − | 0.253223i | ||||
\(133\) | 5.26411 | − | 0.274672i | 0.456456 | − | 0.0238171i | ||||
\(134\) | − | 5.11622i | − | 0.441974i | ||||||
\(135\) | 0.163194 | + | 1.37411i | 0.0140455 | + | 0.118265i | ||||
\(136\) | 0.306733 | + | 0.842743i | 0.0263022 | + | 0.0722646i | ||||
\(137\) | −18.0150 | + | 3.17653i | −1.53912 | + | 0.271389i | −0.877917 | − | 0.478813i | \(-0.841067\pi\) |
−0.661208 | + | 0.750203i | \(0.729956\pi\) | |||||||
\(138\) | 5.66836 | + | 7.92012i | 0.482523 | + | 0.674206i | ||||
\(139\) | −2.16057 | − | 0.786381i | −0.183257 | − | 0.0667000i | 0.248762 | − | 0.968565i | \(-0.419976\pi\) |
−0.432019 | + | 0.901865i | \(0.642199\pi\) | |||||||
\(140\) | −0.278902 | + | 0.161024i | −0.0235715 | + | 0.0136090i | ||||
\(141\) | −0.900499 | − | 3.22719i | −0.0758357 | − | 0.271778i | ||||
\(142\) | −7.26434 | + | 6.09550i | −0.609610 | + | 0.511523i | ||||
\(143\) | −5.35850 | + | 4.49632i | −0.448100 | + | 0.376001i | ||||
\(144\) | −2.62846 | − | 1.44609i | −0.219039 | − | 0.120507i | ||||
\(145\) | −0.579510 | + | 0.334580i | −0.0481257 | + | 0.0277854i | ||||
\(146\) | −0.320853 | − | 0.116781i | −0.0265540 | − | 0.00966485i | ||||
\(147\) | 7.79961 | − | 5.58211i | 0.643301 | − | 0.460405i | ||||
\(148\) | 3.89901 | − | 0.687501i | 0.320497 | − | 0.0565122i | ||||
\(149\) | 2.67853 | + | 7.35921i | 0.219434 | + | 0.602890i | 0.999747 | − | 0.0224995i | \(-0.00716240\pi\) |
−0.780313 | + | 0.625389i | \(0.784940\pi\) | |||||||
\(150\) | 0.831767 | + | 8.49680i | 0.0679135 | + | 0.693761i | ||||
\(151\) | 11.1343i | 0.906098i | 0.891486 | + | 0.453049i | \(0.149664\pi\) | ||||
−0.891486 | + | 0.453049i | \(0.850336\pi\) | |||||||
\(152\) | −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 | ||||
\(156\) | 4.25114 | + | 2.91180i | 0.340364 | + | 0.233131i | ||||
\(157\) | −3.68519 | + | 20.8997i | −0.294110 | + | 1.66798i | 0.376688 | + | 0.926340i | \(0.377063\pi\) |
−0.670798 | + | 0.741640i | \(0.734048\pi\) | |||||||
\(158\) | 2.33914 | − | 6.42674i | 0.186092 | − | 0.511284i | ||||
\(159\) | 2.47795 | − | 9.64468i | 0.196515 | − | 0.764873i | ||||
\(160\) | 0.230629 | + | 0.133153i | 0.0182328 | + | 0.0105267i | ||||
\(161\) | −4.37103 | − | 5.20919i | −0.344485 | − | 0.410542i | ||||
\(162\) | 6.64992 | − | 6.06453i | 0.522467 | − | 0.476474i | ||||
\(163\) | 1.74061 | − | 3.01482i | 0.136335 | − | 0.236139i | −0.789772 | − | 0.613401i | \(-0.789801\pi\) |
0.926107 | + | 0.377262i | \(0.123134\pi\) | |||||||
\(164\) | 5.54582 | + | 9.60564i | 0.433056 | + | 0.750075i | ||||
\(165\) | −0.468470 | − | 0.978167i | −0.0364703 | − | 0.0761502i | ||||
\(166\) | 13.9006 | + | 2.45105i | 1.07890 | + | 0.190238i | ||||
\(167\) | −3.56671 | − | 20.2278i | −0.276000 | − | 1.56527i | −0.735767 | − | 0.677235i | \(-0.763178\pi\) |
0.459767 | − | 0.888040i | \(-0.347933\pi\) | |||||||
\(168\) | 1.90737 | + | 0.865585i | 0.147157 | + | 0.0667813i | ||||
\(169\) | 3.17888 | + | 2.66740i | 0.244529 | + | 0.205185i | ||||
\(170\) | 0.238832 | 0.0183176 | ||||||||
\(171\) | 12.6789 | − | 3.20091i | 0.969579 | − | 0.244780i | ||||
\(172\) | −4.80300 | −0.366225 | ||||||||
\(173\) | −6.38346 | − | 5.35636i | −0.485326 | − | 0.407237i | 0.367022 | − | 0.930212i | \(-0.380377\pi\) |
−0.852348 | + | 0.522976i | \(0.824822\pi\) | |||||||
\(174\) | 3.96319 | + | 1.79854i | 0.300449 | + | 0.136347i | ||||
\(175\) | −1.03508 | − | 5.87024i | −0.0782448 | − | 0.443748i | ||||
\(176\) | 2.31560 | + | 0.408302i | 0.174545 | + | 0.0307769i | ||||
\(177\) | 9.55285 | + | 19.9464i | 0.718036 | + | 1.49926i | ||||
\(178\) | −6.14989 | − | 10.6519i | −0.460953 | − | 0.798395i | ||||
\(179\) | 4.51280 | − | 7.81640i | 0.337302 | − | 0.584225i | −0.646622 | − | 0.762811i | \(-0.723819\pi\) |
0.983924 | + | 0.178586i | \(0.0571522\pi\) | |||||||
\(180\) | −0.601286 | + | 0.526051i | −0.0448172 | + | 0.0392095i | ||||
\(181\) | 5.90976 | + | 7.04297i | 0.439269 | + | 0.523500i | 0.939573 | − | 0.342350i | \(-0.111223\pi\) |
−0.500304 | + | 0.865850i | \(0.666778\pi\) | |||||||
\(182\) | −3.11564 | − | 1.79882i | −0.230947 | − | 0.133337i | ||||
\(183\) | 0.381350 | − | 1.48429i | 0.0281902 | − | 0.109722i | ||||
\(184\) | −1.92322 | + | 5.28401i | −0.141782 | + | 0.389542i | ||||
\(185\) | 0.183086 | − | 1.03833i | 0.0134608 | − | 0.0763398i | ||||
\(186\) | 14.8196 | + | 10.1506i | 1.08663 | + | 0.744280i | ||||
\(187\) | 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 | \(-0.0854648\pi\) | |||||||
\(192\) | −0.168747 | − | 1.72381i | −0.0121783 | − | 0.124405i | ||||
\(193\) | 0.613121 | + | 1.68453i | 0.0441334 | + | 0.121255i | 0.959801 | − | 0.280680i | \(-0.0905599\pi\) |
−0.915668 | + | 0.401935i | \(0.868338\pi\) | |||||||
\(194\) | −5.95150 | + | 1.04941i | −0.427293 | + | 0.0753432i | ||||
\(195\) | 1.11587 | − | 0.798620i | 0.0799093 | − | 0.0571904i | ||||
\(196\) | 5.20361 | + | 1.89396i | 0.371686 | + | 0.135283i | ||||
\(197\) | 6.85271 | − | 3.95642i | 0.488236 | − | 0.281883i | −0.235607 | − | 0.971849i | \(-0.575708\pi\) |
0.723842 | + | 0.689966i | \(0.242374\pi\) | |||||||
\(198\) | −3.40022 | + | 6.18035i | −0.241643 | + | 0.439219i | ||||
\(199\) | −8.01318 | + | 6.72386i | −0.568039 | + | 0.476642i | −0.880995 | − | 0.473126i | \(-0.843125\pi\) |
0.312955 | + | 0.949768i | \(0.398681\pi\) | |||||||
\(200\) | −3.77589 | + | 3.16835i | −0.266996 | + | 0.224036i | ||||
\(201\) | 2.38170 | + | 8.53548i | 0.167992 | + | 0.602047i | ||||
\(202\) | 8.97769 | − | 5.18327i | 0.631668 | − | 0.364694i | ||||
\(203\) | −2.85543 | − | 1.03929i | −0.200412 | − | 0.0729441i | ||||
\(204\) | −0.904043 | − | 1.26317i | −0.0632957 | − | 0.0884399i | ||||
\(205\) | 2.90891 | − | 0.512919i | 0.203167 | − | 0.0358238i | ||||
\(206\) | 5.05487 | + | 13.8881i | 0.352189 | + | 0.967633i | ||||
\(207\) | −13.1436 | − | 10.5746i | −0.913544 | − | 0.734983i | ||||
\(208\) | 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 | −0.365368 | − | 0.930863i | \(-0.619057\pi\) |
0.980167 | + | 0.198175i | \(0.0635013\pi\) | |||||||
\(212\) | 5.40249 | − | 1.96634i | 0.371044 | − | 0.135049i | ||||
\(213\) | 9.28166 | − | 13.5509i | 0.635969 | − | 0.928495i | ||||
\(214\) | 2.80768 | − | 15.9231i | 0.191929 | − | 1.08848i | ||||
\(215\) | −0.437468 | + | 1.20193i | −0.0298351 | + | 0.0819712i | ||||
\(216\) | 5.05830 | + | 1.18894i | 0.344174 | + | 0.0808970i | ||||
\(217\) | −10.8612 | − | 6.27072i | −0.737307 | − | 0.425684i | ||||
\(218\) | −11.7406 | − | 13.9919i | −0.795172 | − | 0.947650i | ||||
\(219\) | 0.589649 | + | 0.0454645i | 0.0398448 | + | 0.00307221i | ||||
\(220\) | 0.313086 | − | 0.542281i | 0.0211083 | − | 0.0365606i | ||||
\(221\) | 1.33401 | + | 2.31057i | 0.0897349 | + | 0.155425i | ||||
\(222\) | −6.18475 | + | 2.96204i | −0.415093 | + | 0.198799i | ||||
\(223\) | −12.2714 | − | 2.16379i | −0.821757 | − | 0.144898i | −0.253066 | − | 0.967449i | \(-0.581439\pi\) |
−0.568691 | + | 0.822551i | \(0.692550\pi\) | |||||||
\(224\) | 0.209995 | + | 1.19094i | 0.0140309 | + | 0.0795730i | ||||
\(225\) | −5.34308 | − | 13.7882i | −0.356206 | − | 0.919212i | ||||
\(226\) | 1.83866 | + | 1.54282i | 0.122306 | + | 0.102627i | ||||
\(227\) | −1.63948 | −0.108816 | −0.0544081 | − | 0.998519i | \(-0.517327\pi\) | ||||
−0.0544081 | + | 0.998519i | \(0.517327\pi\) | |||||||
\(228\) | 5.66128 | + | 4.99498i | 0.374928 | + | 0.330801i | ||||
\(229\) | −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 | ||||
\(231\) | 2.03527 | − | 4.48484i | 0.133911 | − | 0.295081i | ||||
\(232\) | 0.436333 | + | 2.47457i | 0.0286467 | + | 0.162463i | ||||
\(233\) | −2.37239 | − | 0.418316i | −0.155420 | − | 0.0274048i | 0.0953966 | − | 0.995439i | \(-0.469588\pi\) |
−0.250817 | + | 0.968035i | \(0.580699\pi\) | |||||||
\(234\) | −8.44777 | − | 2.87883i | −0.552248 | − | 0.188195i | ||||
\(235\) | −0.257571 | − | 0.446127i | −0.0168021 | − | 0.0291021i | ||||
\(236\) | −6.38433 | + | 11.0580i | −0.415585 | + | 0.719814i | ||||
\(237\) | −0.910662 | + | 11.8108i | −0.0591538 | + | 0.767192i | ||||
\(238\) | 0.697133 | + | 0.830810i | 0.0451884 | + | 0.0538534i | ||||
\(239\) | 16.5806 | + | 9.57284i | 1.07251 | + | 0.619215i | 0.928867 | − | 0.370414i | \(-0.120784\pi\) |
0.143646 | + | 0.989629i | \(0.454117\pi\) | |||||||
\(240\) | −0.446748 | − | 0.114780i | −0.0288374 | − | 0.00740904i | ||||
\(241\) | 1.43503 | − | 3.94271i | 0.0924383 | − | 0.253972i | −0.884854 | − | 0.465869i | \(-0.845742\pi\) |
0.977292 | + | 0.211897i | \(0.0679641\pi\) | |||||||
\(242\) | −0.950083 | + | 5.38819i | −0.0610736 | + | 0.346366i | ||||
\(243\) | −8.27104 | + | 13.2132i | −0.530587 | + | 0.847630i | ||||
\(244\) | 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 | ||||||||
\(249\) | −24.3317 | + | 2.38187i | −1.54196 | + | 0.150945i | ||||
\(250\) | 0.904364 | + | 2.48472i | 0.0571970 | + | 0.157147i | ||||
\(251\) | −4.15098 | + | 0.731929i | −0.262007 | + | 0.0461990i | −0.303109 | − | 0.952956i | \(-0.598024\pi\) |
0.0411012 | + | 0.999155i | \(0.486913\pi\) | |||||||
\(252\) | −3.58505 | − | 0.556153i | −0.225837 | − | 0.0350344i | ||||
\(253\) | 12.4244 | + | 4.52211i | 0.781114 | + | 0.284302i | ||||
\(254\) | 5.12516 | − | 2.95901i | 0.321581 | − | 0.185665i | ||||
\(255\) | −0.398448 | + | 0.111181i | −0.0249518 | + | 0.00696242i | ||||
\(256\) | 0.766044 | − | 0.642788i | 0.0478778 | − | 0.0401742i | ||||
\(257\) | −13.6150 | + | 11.4244i | −0.849282 | + | 0.712632i | −0.959631 | − | 0.281260i | \(-0.909248\pi\) |
0.110349 | + | 0.993893i | \(0.464803\pi\) | |||||||
\(258\) | 8.01293 | − | 2.23589i | 0.498863 | − | 0.139200i | ||||
\(259\) | 4.14641 | − | 2.39393i | 0.257645 | − | 0.148752i | ||||
\(260\) | 0.744469 | + | 0.270964i | 0.0461700 | + | 0.0168045i | ||||
\(261\) | −7.44913 | − | 1.15559i | −0.461089 | − | 0.0715293i | ||||
\(262\) | −17.0184 | + | 3.00080i | −1.05140 | + | 0.185390i | ||||
\(263\) | −0.383160 | − | 1.05272i | −0.0236267 | − | 0.0649138i | 0.927319 | − | 0.374273i | \(-0.122108\pi\) |
−0.950945 | + | 0.309359i | \(0.899885\pi\) | |||||||
\(264\) | −4.05323 | + | 0.396777i | −0.249459 | + | 0.0244200i | ||||
\(265\) | − | 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 | \(-0.813323\pi\) |
−0.282311 | + | 0.959323i | \(0.591101\pi\) | |||||||
\(270\) | 0.758250 | − | 1.15753i | 0.0461456 | − | 0.0704452i | ||||
\(271\) | −0.0552285 | + | 0.313217i | −0.00335489 | + | 0.0190266i | −0.986439 | − | 0.164127i | \(-0.947519\pi\) |
0.983084 | + | 0.183153i | \(0.0586305\pi\) | |||||||
\(272\) | 0.306733 | − | 0.842743i | 0.0185984 | − | 0.0510988i | ||||
\(273\) | 6.03527 | + | 1.55061i | 0.365271 | + | 0.0938470i | ||||
\(274\) | 15.8421 | + | 9.14645i | 0.957057 | + | 0.552557i | ||||
\(275\) | 7.44980 | + | 8.87833i | 0.449240 | + | 0.535383i | ||||
\(276\) | 0.748739 | − | 9.71072i | 0.0450688 | − | 0.584517i | ||||
\(277\) | 10.9678 | − | 18.9968i | 0.658993 | − | 1.14141i | −0.321884 | − | 0.946779i | \(-0.604316\pi\) |
0.980877 | − | 0.194630i | \(-0.0623506\pi\) | |||||||
\(278\) | 1.14961 | + | 1.99119i | 0.0689492 | + | 0.119424i | ||||
\(279\) | −29.4492 | − | 10.0357i | −1.76308 | − | 0.600820i | ||||
\(280\) | 0.317156 | + | 0.0559231i | 0.0189537 | + | 0.00334204i | ||||
\(281\) | −2.62001 | − | 14.8588i | −0.156297 | − | 0.886403i | −0.957591 | − | 0.288132i | \(-0.906966\pi\) |
0.801294 | − | 0.598271i | \(-0.204145\pi\) | |||||||
\(282\) | −1.38458 | + | 3.05100i | −0.0824502 | + | 0.181684i | ||||
\(283\) | −5.08697 | − | 4.26848i | −0.302389 | − | 0.253735i | 0.478949 | − | 0.877843i | \(-0.341018\pi\) |
−0.781338 | + | 0.624108i | \(0.785462\pi\) | |||||||
\(284\) | 9.48292 | 0.562708 | ||||||||
\(285\) | 1.76562 | − | 0.961763i | 0.104586 | − | 0.0569699i | ||||
\(286\) | 6.99503 | 0.413625 | ||||||||
\(287\) | 10.2751 | + | 8.62187i | 0.606523 | + | 0.508933i | ||||
\(288\) | 1.08399 | + | 2.79731i | 0.0638748 | + | 0.164833i | ||||
\(289\) | 2.81235 | + | 15.9496i | 0.165433 | + | 0.938215i | ||||
\(290\) | 0.658995 | + | 0.116199i | 0.0386975 | + | 0.00682341i | ||||
\(291\) | 9.44048 | − | 4.52129i | 0.553411 | − | 0.265043i | ||||
\(292\) | 0.170722 | + | 0.295699i | 0.00999076 | + | 0.0173045i | ||||
\(293\) | 14.2028 | − | 24.5999i | 0.829735 | − | 1.43714i | −0.0685112 | − | 0.997650i | \(-0.521825\pi\) |
0.898246 | − | 0.439493i | \(-0.144842\pi\) | |||||||
\(294\) | −9.56296 | − | 0.737346i | −0.557723 | − | 0.0430029i | ||||
\(295\) | 2.18572 | + | 2.60484i | 0.127258 | + | 0.151660i | ||||
\(296\) | −3.42873 | − | 1.97958i | −0.199291 | − | 0.115061i | ||||
\(297\) | 2.79557 | − | 11.8937i | 0.162215 | − | 0.690141i | ||||
\(298\) | 2.67853 | − | 7.35921i | 0.155163 | − | 0.426307i | ||||
\(299\) | −2.90487 | + | 16.4743i | −0.167993 | + | 0.952734i | ||||
\(300\) | 4.82447 | − | 7.04358i | 0.278541 | − | 0.406661i | ||||
\(301\) | −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 | ||||||
\(306\) | 2.09627 | + | 1.68653i | 0.119836 | + | 0.0964125i | ||||
\(307\) | 1.49097 | + | 4.09641i | 0.0850942 | + | 0.233794i | 0.974940 | − | 0.222466i | \(-0.0714107\pi\) |
−0.889846 | + | 0.456261i | \(0.849188\pi\) | |||||||
\(308\) | 2.80028 | − | 0.493765i | 0.159561 | − | 0.0281348i | ||||
\(309\) | −14.8983 | − | 20.8167i | −0.847537 | − | 1.18422i | ||||
\(310\) | 2.59524 | + | 0.944590i | 0.147400 | + | 0.0536491i | ||||
\(311\) | −4.11082 | + | 2.37338i | −0.233103 | + | 0.134582i | −0.612003 | − | 0.790856i | \(-0.709636\pi\) |
0.378900 | + | 0.925438i | \(0.376303\pi\) | |||||||
\(312\) | −1.38489 | − | 4.96315i | −0.0784041 | − | 0.280983i | ||||
\(313\) | 14.5023 | − | 12.1689i | 0.819718 | − | 0.687825i | −0.133188 | − | 0.991091i | \(-0.542521\pi\) |
0.952906 | + | 0.303265i | \(0.0980769\pi\) | |||||||
\(314\) | 16.2571 | − | 13.6413i | 0.917442 | − | 0.769825i | ||||
\(315\) | −0.465711 | + | 0.846492i | −0.0262398 | + | 0.0476944i | ||||
\(316\) | −5.92291 | + | 3.41960i | −0.333190 | + | 0.192367i | ||||
\(317\) | 29.4488 | + | 10.7185i | 1.65401 | + | 0.602010i | 0.989404 | − | 0.145186i | \(-0.0463782\pi\) |
0.664604 | + | 0.747196i | \(0.268600\pi\) | |||||||
\(318\) | −8.09771 | + | 5.79546i | −0.454097 | + | 0.324993i | ||||
\(319\) | 5.81850 | − | 1.02596i | 0.325773 | − | 0.0574426i | ||||
\(320\) | −0.0910823 | − | 0.250247i | −0.00509166 | − | 0.0139892i | ||||
\(321\) | 2.72843 | + | 27.8719i | 0.152286 | + | 1.55566i | ||||
\(322\) | 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 | ||||
\(327\) | 26.1005 | + | 17.8775i | 1.44336 | + | 0.988626i | ||||
\(328\) | 1.92604 | − | 10.9231i | 0.106348 | − | 0.603129i | ||||
\(329\) | 0.800083 | − | 2.19821i | 0.0441100 | − | 0.121191i | ||||
\(330\) | −0.269885 | + | 1.05045i | −0.0148567 | + | 0.0578251i | ||||
\(331\) | −3.20610 | − | 1.85104i | −0.176223 | − | 0.101742i | 0.409294 | − | 0.912403i | \(-0.365775\pi\) |
−0.585517 | + | 0.810660i | \(0.699108\pi\) | |||||||
\(332\) | −9.07297 | − | 10.8127i | −0.497944 | − | 0.593426i | ||||
\(333\) | 8.93925 | − | 7.82075i | 0.489868 | − | 0.428574i | ||||
\(334\) | −10.2699 | + | 17.7880i | −0.561945 | + | 0.973318i | ||||
\(335\) | 0.681242 | + | 1.17995i | 0.0372202 | + | 0.0644673i | ||||
\(336\) | −0.904745 | − | 1.88911i | −0.0493579 | − | 0.103060i | ||||
\(337\) | −19.7344 | − | 3.47971i | −1.07500 | − | 0.189552i | −0.391997 | − | 0.919967i | \(-0.628216\pi\) |
−0.683004 | + | 0.730415i | \(0.739327\pi\) | |||||||
\(338\) | −0.720594 | − | 4.08669i | −0.0391952 | − | 0.222287i | ||||
\(339\) | −3.78568 | − | 1.71798i | −0.205610 | − | 0.0933079i | ||||
\(340\) | −0.182956 | − | 0.153518i | −0.00992217 | − | 0.00832569i | ||||
\(341\) | 24.3849 | 1.32051 | ||||||||
\(342\) | −11.7701 | − | 5.69779i | −0.636454 | − | 0.308101i | ||||
\(343\) | 15.1618 | 0.818662 | ||||||||
\(344\) | 3.67931 | + | 3.08731i | 0.198375 | + | 0.166456i | ||||
\(345\) | −2.36188 | − | 1.07184i | −0.127159 | − | 0.0577062i | ||||
\(346\) | 1.44701 | + | 8.20642i | 0.0777919 | + | 0.441180i | ||||
\(347\) | −0.281016 | − | 0.0495507i | −0.0150857 | − | 0.00266002i | 0.166100 | − | 0.986109i | \(-0.446882\pi\) |
−0.181186 | + | 0.983449i | \(0.557994\pi\) | |||||||
\(348\) | −1.87990 | − | 3.92525i | −0.100773 | − | 0.210415i | ||||
\(349\) | 6.98873 | + | 12.1048i | 0.374098 | + | 0.647957i | 0.990192 | − | 0.139716i | \(-0.0446190\pi\) |
−0.616093 | + | 0.787673i | \(0.711286\pi\) | |||||||
\(350\) | −2.98040 | + | 5.16220i | −0.159309 | + | 0.275931i | ||||
\(351\) | 15.4337 | + | 0.870200i | 0.823791 | + | 0.0464479i | ||||
\(352\) | −1.51140 | − | 1.80121i | −0.0805578 | − | 0.0960050i | ||||
\(353\) | 17.7647 | + | 10.2564i | 0.945519 | + | 0.545895i | 0.891686 | − | 0.452654i | \(-0.149523\pi\) |
0.0538327 | + | 0.998550i | \(0.482856\pi\) | |||||||
\(354\) | 5.50339 | − | 21.4203i | 0.292502 | − | 1.13848i | ||||
\(355\) | 0.863726 | − | 2.37307i | 0.0458418 | − | 0.125949i | ||||
\(356\) | −2.13583 | + | 12.1129i | −0.113199 | + | 0.641983i | ||||
\(357\) | −1.54980 | − | 1.06153i | −0.0820241 | − | 0.0561820i | ||||
\(358\) | −8.48129 | + | 3.08694i | −0.448250 | + | 0.163150i | ||||
\(359\) | 17.9876 | − | 21.4368i | 0.949348 | − | 1.13139i | −0.0418658 | − | 0.999123i | \(-0.513330\pi\) |
0.991214 | − | 0.132266i | \(-0.0422254\pi\) | |||||||
\(360\) | 0.798751 | − | 0.0164795i | 0.0420979 | − | 0.000868548i | ||||
\(361\) | −11.1609 | − | 15.3764i | −0.587415 | − | 0.809286i | ||||
\(362\) | − | 9.19395i | − | 0.483223i | ||||||
\(363\) | −0.923266 | − | 9.43150i | −0.0484589 | − | 0.495025i | ||||
\(364\) | 1.23046 | + | 3.38067i | 0.0644937 | + | 0.177195i | ||||
\(365\) | 0.0895476 | − | 0.0157897i | 0.00468713 | − | 0.000826468i | ||||
\(366\) | −1.24621 | + | 0.891904i | −0.0651406 | + | 0.0466206i | ||||
\(367\) | 1.43051 | + | 0.520662i | 0.0746719 | + | 0.0271783i | 0.379086 | − | 0.925361i | \(-0.376238\pi\) |
−0.304414 | + | 0.952540i | \(0.598461\pi\) | |||||||
\(368\) | 4.86977 | − | 2.81156i | 0.253854 | − | 0.146563i | ||||
\(369\) | 29.1540 | + | 16.0395i | 1.51770 | + | 0.834983i | ||||
\(370\) | −0.807680 | + | 0.677724i | −0.0419893 | + | 0.0352332i | ||||
\(371\) | 5.32599 | − | 4.46904i | 0.276512 | − | 0.232021i | ||||
\(372\) | −4.82778 | − | 17.3017i | −0.250309 | − | 0.897051i | ||||
\(373\) | 4.13495 | − | 2.38731i | 0.214100 | − | 0.123610i | −0.389116 | − | 0.921189i | \(-0.627219\pi\) |
0.603215 | + | 0.797578i | \(0.293886\pi\) | |||||||
\(374\) | −1.98156 | − | 0.721228i | −0.102464 | − | 0.0372938i | ||||
\(375\) | −2.66545 | − | 3.72431i | −0.137643 | − | 0.192322i | ||||
\(376\) | −1.90501 | + | 0.335904i | −0.0982432 | + | 0.0173229i | ||||
\(377\) | 2.55669 | + | 7.02444i | 0.131676 | + | 0.361777i | ||||
\(378\) | 6.23992 | − | 0.741073i | 0.320947 | − | 0.0381167i | ||||
\(379\) | − | 13.4129i | − | 0.688972i | −0.938791 | − | 0.344486i | \(-0.888053\pi\) | ||
0.938791 | − | 0.344486i | \(-0.111947\pi\) | |||||||
\(380\) | 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 | \(-0.923827\pi\) |
−0.591857 | + | 0.806043i | \(0.701605\pi\) | |||||||
\(384\) | −0.978777 | + | 1.42898i | −0.0499480 | + | 0.0729225i | ||||
\(385\) | 0.131493 | − | 0.745733i | 0.00670150 | − | 0.0380061i | ||||
\(386\) | 0.613121 | − | 1.68453i | 0.0312070 | − | 0.0857406i | ||||
\(387\) | −12.3273 | + | 7.46036i | −0.626631 | + | 0.379231i | ||||
\(388\) | 5.23366 | + | 3.02165i | 0.265699 | + | 0.153401i | ||||
\(389\) | −8.33624 | − | 9.93474i | −0.422664 | − | 0.503711i | 0.512127 | − | 0.858910i | \(-0.328858\pi\) |
−0.934791 | + | 0.355199i | \(0.884413\pi\) | |||||||
\(390\) | −1.36815 | − | 0.105490i | −0.0692790 | − | 0.00534172i | ||||
\(391\) | 2.52149 | − | 4.36735i | 0.127517 | − | 0.220866i | ||||
\(392\) | −2.76878 | − | 4.79567i | −0.139845 | − | 0.242218i | ||||
\(393\) | 26.9952 | − | 12.9287i | 1.36173 | − | 0.652166i | ||||
\(394\) | −7.79262 | − | 1.37405i | −0.392586 | − | 0.0692236i | ||||
\(395\) | 0.316270 | + | 1.79365i | 0.0159132 | + | 0.0902485i | ||||
\(396\) | 6.57737 | − | 2.54881i | 0.330525 | − | 0.128082i | ||||
\(397\) | 18.9635 | + | 15.9123i | 0.951752 | + | 0.798615i | 0.979592 | − | 0.200997i | \(-0.0644183\pi\) |
−0.0278396 | + | 0.999612i | \(0.508863\pi\) | |||||||
\(398\) | 10.4605 | 0.524336 | ||||||||
\(399\) | 8.49935 | + | 3.33465i | 0.425500 | + | 0.166941i | ||||
\(400\) | 4.92908 | 0.246454 | ||||||||
\(401\) | −4.89417 | − | 4.10670i | −0.244403 | − | 0.205079i | 0.512354 | − | 0.858774i | \(-0.328773\pi\) |
−0.756758 | + | 0.653695i | \(0.773218\pi\) | |||||||
\(402\) | 3.66202 | − | 8.06949i | 0.182645 | − | 0.402469i | ||||
\(403\) | 5.35744 | + | 30.3836i | 0.266873 | + | 1.51351i | ||||
\(404\) | −10.2091 | − | 1.80013i | −0.507919 | − | 0.0895599i | ||||
\(405\) | −0.726149 | + | 2.28411i | −0.0360826 | + | 0.113499i | ||||
\(406\) | 1.51935 | + | 2.63158i | 0.0754038 | + | 0.130603i | ||||
\(407\) | −4.65462 | + | 8.06204i | −0.230721 | + | 0.399620i | ||||
\(408\) | −0.119416 | + | 1.54876i | −0.00591197 | + | 0.0766748i | ||||
\(409\) | −18.5835 | − | 22.1469i | −0.918894 | − | 1.09510i | −0.995185 | − | 0.0980100i | \(-0.968752\pi\) |
0.0762911 | − | 0.997086i | \(-0.475692\pi\) | |||||||
\(410\) | −2.55805 | − | 1.47689i | −0.126333 | − | 0.0729384i | ||||
\(411\) | −30.6876 | − | 7.88439i | −1.51371 | − | 0.388908i | ||||
\(412\) | 5.05487 | − | 13.8881i | 0.249036 | − | 0.684220i | ||||
\(413\) | −2.68135 | + | 15.2067i | −0.131941 | + | 0.748273i | ||||
\(414\) | 3.27140 | + | 16.5491i | 0.160780 | + | 0.813346i | ||||
\(415\) | −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 | \(0.844350\pi\) | |||||||
\(420\) | −0.555150 | + | 0.0543446i | −0.0270886 | + | 0.00265175i | ||||
\(421\) | −11.8370 | − | 32.5219i | −0.576900 | − | 1.58502i | −0.793376 | − | 0.608732i | \(-0.791678\pi\) |
0.216476 | − | 0.976288i | \(-0.430544\pi\) | |||||||
\(422\) | −13.6823 | + | 2.41255i | −0.666042 | + | 0.117441i | ||||
\(423\) | 0.889613 | − | 5.73459i | 0.0432545 | − | 0.278825i | ||||
\(424\) | −5.40249 | − | 1.96634i | −0.262368 | − | 0.0954941i | ||||
\(425\) | 3.82830 | − | 2.21027i | 0.185700 | − | 0.107214i | ||||
\(426\) | −15.8205 | + | 4.41449i | −0.766508 | + | 0.213883i | ||||
\(427\) | 0.819655 | − | 0.687772i | 0.0396659 | − | 0.0332836i | ||||
\(428\) | −12.3860 | + | 10.3931i | −0.598700 | + | 0.502369i | ||||
\(429\) | −11.6699 | + | 3.25632i | −0.563430 | + | 0.157217i | ||||
\(430\) | 1.10771 | − | 0.639535i | 0.0534184 | − | 0.0308411i | ||||
\(431\) | −30.2120 | − | 10.9963i | −1.45526 | − | 0.529671i | −0.511205 | − | 0.859459i | \(-0.670801\pi\) |
−0.944055 | + | 0.329788i | \(0.893023\pi\) | |||||||
\(432\) | −3.11065 | − | 4.16219i | −0.149661 | − | 0.200254i | ||||
\(433\) | −22.7212 | + | 4.00636i | −1.09191 | + | 0.192534i | −0.690477 | − | 0.723354i | \(-0.742599\pi\) |
−0.401435 | + | 0.915888i | \(0.631488\pi\) | |||||||
\(434\) | 4.28943 | + | 11.7851i | 0.205899 | + | 0.565703i | ||||
\(435\) | −1.15351 | + | 0.112919i | −0.0553064 | + | 0.00541404i | ||||
\(436\) | 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 | −0.554413 | − | 0.832242i | \(-0.687057\pi\) |
0.915871 | + | 0.401473i | \(0.131502\pi\) | |||||||
\(440\) | −0.588409 | + | 0.214163i | −0.0280513 | + | 0.0102098i | ||||
\(441\) | 16.2973 | − | 3.22162i | 0.776063 | − | 0.153410i | ||||
\(442\) | 0.463295 | − | 2.62748i | 0.0220367 | − | 0.124976i | ||||
\(443\) | 7.28357 | − | 20.0114i | 0.346053 | − | 0.950772i | −0.637548 | − | 0.770411i | \(-0.720051\pi\) |
0.983600 | − | 0.180361i | \(-0.0577267\pi\) | |||||||
\(444\) | 6.64175 | + | 1.70643i | 0.315204 | + | 0.0809835i | ||||
\(445\) | 2.83668 | + | 1.63776i | 0.134471 | + | 0.0776371i | ||||
\(446\) | 8.00962 | + | 9.54549i | 0.379266 | + | 0.451992i | ||||
\(447\) | −1.04279 | + | 13.5244i | −0.0493224 | + | 0.639683i | ||||
\(448\) | 0.604656 | − | 1.04730i | 0.0285673 | − | 0.0494800i | ||||
\(449\) | −5.96300 | − | 10.3282i | −0.281411 | − | 0.487419i | 0.690321 | − | 0.723503i | \(-0.257469\pi\) |
−0.971733 | + | 0.236084i | \(0.924136\pi\) | |||||||
\(450\) | −4.76983 | + | 13.9968i | −0.224852 | + | 0.659817i | ||||
\(451\) | −25.6837 | − | 4.52874i | −1.20940 | − | 0.213250i | ||||
\(452\) | −0.416790 | − | 2.36373i | −0.0196041 | − | 0.111181i | ||||
\(453\) | −7.96957 | + | 17.5615i | −0.374443 | + | 0.825110i | ||||
\(454\) | 1.25592 | + | 1.05384i | 0.0589431 | + | 0.0494591i | ||||
\(455\) | 0.958074 | 0.0449152 | ||||||||
\(456\) | −1.12608 | − | 7.46538i | −0.0527336 | − | 0.349599i | ||||
\(457\) | −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 | ||||
\(459\) | −4.28236 | − | 1.83782i | −0.199883 | − | 0.0857820i | ||||
\(460\) | −0.260034 | − | 1.47473i | −0.0121242 | − | 0.0687595i | ||||
\(461\) | −29.6765 | − | 5.23277i | −1.38217 | − | 0.243715i | −0.567376 | − | 0.823459i | \(-0.692041\pi\) |
−0.814798 | + | 0.579744i | \(0.803152\pi\) | |||||||
\(462\) | −4.44190 | + | 2.12734i | −0.206656 | + | 0.0989729i | ||||
\(463\) | 12.7896 | + | 22.1523i | 0.594385 | + | 1.02950i | 0.993633 | + | 0.112662i | \(0.0359378\pi\) |
−0.399248 | + | 0.916843i | \(0.630729\pi\) | |||||||
\(464\) | 1.25637 | − | 2.17610i | 0.0583256 | − | 0.101023i | ||||
\(465\) | −4.76942 | − | 0.367743i | −0.221176 | − | 0.0170537i | ||||
\(466\) | 1.54847 | + | 1.84539i | 0.0717313 | + | 0.0854860i | ||||
\(467\) | −24.6450 | − | 14.2288i | −1.14044 | − | 0.658431i | −0.193898 | − | 0.981022i | \(-0.562113\pi\) |
−0.946539 | + | 0.322591i | \(0.895446\pi\) | |||||||
\(468\) | 4.62089 | + | 7.63543i | 0.213601 | + | 0.352948i | ||||
\(469\) | −2.11611 | + | 5.81397i | −0.0977131 | + | 0.268464i | ||||
\(470\) | −0.0894536 | + | 0.507317i | −0.00412619 | + | 0.0234008i | ||||
\(471\) | −20.7717 | + | 30.3261i | −0.957112 | + | 1.39735i | ||||
\(472\) | 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 | ||||||
\(477\) | 10.8117 | − | 13.4383i | 0.495032 | − | 0.615298i | ||||
\(478\) | −6.54821 | − | 17.9910i | −0.299508 | − | 0.822891i | ||||
\(479\) | 12.1691 | − | 2.14575i | 0.556022 | − | 0.0980417i | 0.111426 | − | 0.993773i | \(-0.464458\pi\) |
0.444596 | + | 0.895731i | \(0.353347\pi\) | |||||||
\(480\) | 0.268449 | + | 0.375091i | 0.0122530 | + | 0.0171205i | ||||
\(481\) | −11.0679 | − | 4.02840i | −0.504655 | − | 0.183679i | ||||
\(482\) | −3.63362 | + | 2.09787i | −0.165507 | + | 0.0955554i | ||||
\(483\) | −3.16559 | − | 11.3448i | −0.144039 | − | 0.516205i | ||||
\(484\) | 4.19126 | − | 3.51689i | 0.190512 | − | 0.159859i | ||||
\(485\) | 1.23285 | − | 1.03449i | 0.0559810 | − | 0.0469736i | ||||
\(486\) | 14.8293 | − | 4.80541i | 0.672671 | − | 0.217978i | ||||
\(487\) | 24.3442 | − | 14.0551i | 1.10314 | − | 0.636899i | 0.166097 | − | 0.986109i | \(-0.446883\pi\) |
0.937044 | + | 0.349210i | \(0.113550\pi\) | |||||||
\(488\) | −0.831427 | − | 0.302615i | −0.0376369 | − | 0.0136987i | ||||
\(489\) | 4.90326 | − | 3.50922i | 0.221733 | − | 0.158693i | ||||
\(490\) | −1.45229 | + | 0.256078i | −0.0656077 | + | 0.0115684i | ||||
\(491\) | −1.17147 | − | 3.21859i | −0.0528678 | − | 0.145253i | 0.910448 | − | 0.413624i | \(-0.135737\pi\) |
−0.963316 | + | 0.268371i | \(0.913515\pi\) | |||||||
\(492\) | 1.87168 | + | 19.1199i | 0.0843818 | + | 0.861991i | ||||
\(493\) | − | 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 | ||||
\(498\) | 20.1702 | + | 13.8155i | 0.903847 | + | 0.619086i | ||||
\(499\) | 6.64566 | − | 37.6894i | 0.297500 | − | 1.68721i | −0.359362 | − | 0.933198i | \(-0.617006\pi\) |
0.656862 | − | 0.754010i | \(-0.271883\pi\) | |||||||
\(500\) | 0.904364 | − | 2.48472i | 0.0404444 | − | 0.111120i | ||||
\(501\) | 8.85284 | − | 34.4570i | 0.395516 | − | 1.53942i | ||||
\(502\) | 3.65031 | + | 2.10751i | 0.162921 | + | 0.0940626i | ||||
\(503\) | −10.1578 | − | 12.1056i | −0.452916 | − | 0.539764i | 0.490472 | − | 0.871457i | \(-0.336825\pi\) |
−0.943387 | + | 0.331693i | \(0.892380\pi\) | |||||||
\(504\) | 2.38882 | + | 2.73047i | 0.106407 | + | 0.121625i | ||||
\(505\) | −1.38034 | + | 2.39082i | −0.0614244 | + | 0.106390i | ||||
\(506\) | −6.61088 | − | 11.4504i | −0.293889 | − | 0.509031i | ||||
\(507\) | 3.10462 | + | 6.48246i | 0.137881 | + | 0.287896i | ||||
\(508\) | −5.82811 | − | 1.02765i | −0.258581 | − | 0.0455947i | ||||
\(509\) | 1.72136 | + | 9.76234i | 0.0762981 | + | 0.432708i | 0.998897 | + | 0.0469483i | \(0.0149496\pi\) |
−0.922599 | + | 0.385760i | \(0.873939\pi\) | |||||||
\(510\) | 0.376694 | + | 0.170948i | 0.0166803 | + | 0.00756969i | ||||
\(511\) | 0.316310 | + | 0.265415i | 0.0139927 | + | 0.0117413i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | 22.2887 | + | 4.02652i | 0.984071 | + | 0.177775i | ||||
\(514\) | 17.7732 | 0.783941 | ||||||||
\(515\) | −3.01505 | − | 2.52993i | −0.132859 | − | 0.111482i | ||||
\(516\) | −7.57546 | − | 3.43782i | −0.333491 | − | 0.151342i | ||||
\(517\) | 0.789817 | + | 4.47928i | 0.0347361 | + | 0.196998i | ||||
\(518\) | −4.71512 | − | 0.831403i | −0.207170 | − | 0.0365297i | ||||
\(519\) | −6.23433 | − | 13.0173i | −0.273657 | − | 0.571397i | ||||
\(520\) | −0.396123 | − | 0.686106i | −0.0173712 | − | 0.0300877i | ||||
\(521\) | −6.93036 | + | 12.0037i | −0.303625 | + | 0.525894i | −0.976954 | − | 0.213449i | \(-0.931530\pi\) |
0.673329 | + | 0.739343i | \(0.264864\pi\) | |||||||
\(522\) | 4.96356 | + | 5.67344i | 0.217249 | + | 0.248320i | ||||
\(523\) | 24.0581 | + | 28.6713i | 1.05199 | + | 1.25371i | 0.966309 | + | 0.257386i | \(0.0828611\pi\) |
0.0856778 | + | 0.996323i | \(0.472694\pi\) | |||||||
\(524\) | 14.9657 | + | 8.64045i | 0.653780 | + | 0.377460i | ||||
\(525\) | 2.56915 | − | 9.99964i | 0.112127 | − | 0.436420i | ||||
\(526\) | −0.383160 | + | 1.05272i | −0.0167066 | + | 0.0459010i | ||||
\(527\) | 1.61506 | − | 9.15947i | 0.0703532 | − | 0.398993i | ||||
\(528\) | 3.36000 | + | 2.30141i | 0.146225 | + | 0.100156i | ||||
\(529\) | 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 | ||||||
\(534\) | −2.07555 | − | 21.2025i | −0.0898177 | − | 0.917521i | ||||
\(535\) | 1.47269 | + | 4.04618i | 0.0636699 | + | 0.174932i | ||||
\(536\) | 5.03849 | − | 0.888422i | 0.217630 | − | 0.0383740i | ||||
\(537\) | 12.7125 | − | 9.09820i | 0.548584 | − | 0.392616i | ||||
\(538\) | 18.2909 | + | 6.65734i | 0.788576 | + | 0.287018i | ||||
\(539\) | −11.2761 | + | 6.51028i | −0.485698 | + | 0.280418i | ||||
\(540\) | −1.32490 | + | 0.399327i | −0.0570146 | + | 0.0171843i | ||||
\(541\) | 6.17119 | − | 5.17824i | 0.265320 | − | 0.222630i | −0.500416 | − | 0.865785i | \(-0.666819\pi\) |
0.765736 | + | 0.643155i | \(0.222375\pi\) | |||||||
\(542\) | 0.243639 | − | 0.204438i | 0.0104652 | − | 0.00878135i | ||||
\(543\) | 4.27996 | + | 15.3384i | 0.183671 | + | 0.658236i | ||||
\(544\) | −0.776676 | + | 0.448414i | −0.0332997 | + | 0.0192256i | ||||
\(545\) | 4.57078 | + | 1.66363i | 0.195791 | + | 0.0712620i | ||||
\(546\) | −3.62657 | − | 5.06723i | −0.155203 | − | 0.216857i | ||||
\(547\) | 25.2004 | − | 4.44352i | 1.07749 | − | 0.189991i | 0.393386 | − | 0.919373i | \(-0.371303\pi\) |
0.684106 | + | 0.729382i | \(0.260192\pi\) | |||||||
\(548\) | −6.25654 | − | 17.1897i | −0.267266 | − | 0.734308i | ||||
\(549\) | 1.66388 | − | 2.06812i | 0.0710128 | − | 0.0882652i | ||||
\(550\) | − | 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 | ||||
\(555\) | 1.03197 | − | 1.50665i | 0.0438049 | − | 0.0639538i | ||||
\(556\) | 0.399256 | − | 2.26430i | 0.0169322 | − | 0.0960275i | ||||
\(557\) | 4.99606 | − | 13.7266i | 0.211690 | − | 0.581613i | −0.787718 | − | 0.616037i | \(-0.788737\pi\) |
0.999407 | + | 0.0344238i | \(0.0109596\pi\) | |||||||
\(558\) | 16.1086 | + | 26.6173i | 0.681930 | + | 1.12680i | ||||
\(559\) | 12.3743 | + | 7.14431i | 0.523377 | + | 0.302172i | ||||
\(560\) | −0.207009 | − | 0.246703i | −0.00874771 | − | 0.0104251i | ||||
\(561\) | 3.64162 | + | 0.280785i | 0.153749 | + | 0.0118547i | ||||
\(562\) | −7.54402 | + | 13.0666i | −0.318225 | + | 0.551182i | ||||
\(563\) | −12.5968 | − | 21.8184i | −0.530893 | − | 0.919534i | −0.999350 | − | 0.0360479i | \(-0.988523\pi\) |
0.468457 | − | 0.883486i | \(-0.344810\pi\) | |||||||
\(564\) | 3.02179 | − | 1.44721i | 0.127240 | − | 0.0609387i | ||||
\(565\) | −0.629478 | − | 0.110994i | −0.0264824 | − | 0.00466955i | ||||
\(566\) | 1.15312 | + | 6.53969i | 0.0484694 | + | 0.274884i | ||||
\(567\) | −10.0652 | + | 4.14115i | −0.422699 | + | 0.173912i | ||||
\(568\) | −7.26434 | − | 6.09550i | −0.304805 | − | 0.255762i | ||||
\(569\) | 42.1013 | 1.76498 | 0.882490 | − | 0.470332i | \(-0.155866\pi\) | ||||
0.882490 | + | 0.470332i | \(0.155866\pi\) | |||||||
\(570\) | −1.97075 | − | 0.398166i | −0.0825458 | − | 0.0166773i | ||||
\(571\) | −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 | ||||
\(573\) | 5.24837 | − | 11.5651i | 0.219254 | − | 0.483140i | ||||
\(574\) | −2.32919 | − | 13.2095i | −0.0972184 | − | 0.551353i | ||||
\(575\) | 27.2958 | + | 4.81298i | 1.13831 | + | 0.200715i | ||||
\(576\) | 0.967692 | − | 2.83964i | 0.0403205 | − | 0.118318i | ||||
\(577\) | 6.43762 | + | 11.1503i | 0.268002 | + | 0.464192i | 0.968346 | − | 0.249613i | \(-0.0803034\pi\) |
−0.700344 | + | 0.713805i | \(0.746970\pi\) | |||||||
\(578\) | 8.09785 | − | 14.0259i | 0.336826 | − | 0.583400i | ||||
\(579\) | −0.238697 | + | 3.09576i | −0.00991990 | + | 0.128656i | ||||
\(580\) | −0.430128 | − | 0.512607i | −0.0178601 | − | 0.0212848i | ||||
\(581\) | −14.7826 | − | 8.53474i | −0.613286 | − | 0.354081i | ||||
\(582\) | −10.1381 | − | 2.60471i | −0.420236 | − | 0.107969i | ||||
\(583\) | −4.62350 | + | 12.7030i | −0.191486 | + | 0.526103i | ||||
\(584\) | 0.0592912 | − | 0.336257i | 0.00245349 | − | 0.0139144i | ||||
\(585\) | 2.33162 | − | 0.460910i | 0.0964007 | − | 0.0190563i | ||||
\(586\) | −26.6925 | + | 9.71527i | −1.10266 | + | 0.401334i | ||||
\(587\) | 11.6998 | − | 13.9432i | 0.482900 | − | 0.575498i | −0.468497 | − | 0.883465i | \(-0.655204\pi\) |
0.951397 | + | 0.307967i | \(0.0996486\pi\) | |||||||
\(588\) | 6.85169 | + | 6.71179i | 0.282559 | + | 0.276790i | ||||
\(589\) | 2.35551 | + | 45.1435i | 0.0970573 | + | 1.86011i | ||||
\(590\) | − | 3.40038i | − | 0.139992i | ||||||
\(591\) | 13.6402 | − | 1.33527i | 0.561084 | − | 0.0549255i | ||||
\(592\) | 1.35411 | + | 3.72039i | 0.0556537 | + | 0.152907i | ||||
\(593\) | −6.08719 | + | 1.07334i | −0.249971 | + | 0.0440766i | −0.297230 | − | 0.954806i | \(-0.596063\pi\) |
0.0472585 | + | 0.998883i | \(0.484952\pi\) | |||||||
\(594\) | −9.78664 | + | 7.31412i | −0.401551 | + | 0.300102i | ||||
\(595\) | −0.271404 | − | 0.0987830i | −0.0111265 | − | 0.00404971i | ||||
\(596\) | −6.78228 | + | 3.91575i | −0.277813 | + | 0.160395i | ||||
\(597\) | −17.4514 | + | 4.86955i | −0.714238 | + | 0.199298i | ||||
\(598\) | 12.8147 | − | 10.7528i | 0.524034 | − | 0.439717i | ||||
\(599\) | −27.9659 | + | 23.4662i | −1.14266 | + | 0.958803i | −0.999522 | − | 0.0308999i | \(-0.990163\pi\) |
−0.143135 | + | 0.989703i | \(0.545718\pi\) | |||||||
\(600\) | −8.22328 | + | 2.29458i | −0.335714 | + | 0.0936760i | ||||
\(601\) | 2.01662 | − | 1.16430i | 0.0822597 | − | 0.0474927i | −0.458306 | − | 0.888795i | \(-0.651544\pi\) |
0.540566 | + | 0.841302i | \(0.318210\pi\) | |||||||
\(602\) | 5.45804 | + | 1.98656i | 0.222453 | + | 0.0809663i | ||||
\(603\) | −2.35291 | + | 15.1672i | −0.0958178 | + | 0.617657i | ||||
\(604\) | −10.9652 | + | 1.93345i | −0.446166 | + | 0.0786712i | ||||
\(605\) | −0.498339 | − | 1.36918i | −0.0202604 | − | 0.0556649i | ||||
\(606\) | 17.8700 | − | 1.74932i | 0.725918 | − | 0.0710613i | ||||
\(607\) | − | 24.4621i | − | 0.992887i | −0.868069 | − | 0.496443i | \(-0.834639\pi\) | ||
0.868069 | − | 0.496443i | \(-0.165361\pi\) | |||||||
\(608\) | 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 | ||||
\(612\) | −0.521753 | − | 2.63941i | −0.0210906 | − | 0.106692i | ||||
\(613\) | −6.30039 | + | 35.7313i | −0.254470 | + | 1.44317i | 0.542958 | + | 0.839760i | \(0.317304\pi\) |
−0.797428 | + | 0.603414i | \(0.793807\pi\) | |||||||
\(614\) | 1.49097 | − | 4.09641i | 0.0601707 | − | 0.165318i | ||||
\(615\) | 4.95517 | + | 1.27310i | 0.199812 | + | 0.0513365i | ||||
\(616\) | −2.46252 | − | 1.42174i | −0.0992179 | − | 0.0572835i | ||||
\(617\) | −10.3830 | − | 12.3740i | −0.418006 | − | 0.498160i | 0.515416 | − | 0.856940i | \(-0.327637\pi\) |
−0.933422 | + | 0.358780i | \(0.883193\pi\) | |||||||
\(618\) | −1.96794 | + | 25.5230i | −0.0791620 | + | 1.02669i | ||||
\(619\) | −15.2492 | + | 26.4123i | −0.612916 | + | 1.06160i | 0.377831 | + | 0.925875i | \(0.376670\pi\) |
−0.990746 | + | 0.135726i | \(0.956663\pi\) | |||||||
\(620\) | −1.38090 | − | 2.39179i | −0.0554582 | − | 0.0960564i | ||||
\(621\) | −13.1617 | − | 26.0864i | −0.528160 | − | 1.04681i | ||||
\(622\) | 4.67465 | + | 0.824268i | 0.187437 | + | 0.0330501i | ||||
\(623\) | 2.58289 | + | 14.6483i | 0.103481 | + | 0.586871i | ||||
\(624\) | −2.12936 | + | 4.69219i | −0.0852427 | + | 0.187838i | ||||
\(625\) | 18.3401 | + | 15.3891i | 0.733602 | + | 0.615565i | ||||
\(626\) | −18.9314 | −0.756651 | ||||||||
\(627\) | −17.5535 | + | 2.64778i | −0.701019 | + | 0.105742i | ||||
\(628\) | −21.2221 | −0.846856 | ||||||||
\(629\) | 2.71998 | + | 2.28234i | 0.108453 | + | 0.0910028i | ||||
\(630\) | 0.900870 | − | 0.349098i | 0.0358915 | − | 0.0139084i | ||||
\(631\) | −5.03370 | − | 28.5475i | −0.200388 | − | 1.13646i | −0.904533 | − | 0.426403i | \(-0.859781\pi\) |
0.704145 | − | 0.710056i | \(-0.251330\pi\) | |||||||
\(632\) | 6.73529 | + | 1.18761i | 0.267915 | + | 0.0472407i | ||||
\(633\) | 21.7033 | − | 10.3943i | 0.862629 | − | 0.413135i | ||||
\(634\) | −15.6694 | − | 27.1401i | −0.622310 | − | 1.07787i | ||||
\(635\) | −0.788005 | + | 1.36486i | −0.0312710 | + | 0.0541630i | ||||
\(636\) | 9.92845 | + | 0.765527i | 0.393689 | + | 0.0303551i | ||||
\(637\) | −10.5892 | − | 12.6198i | −0.419561 | − | 0.500013i | ||||
\(638\) | −5.11670 | − | 2.95413i | −0.202572 | − | 0.116955i | ||||
\(639\) | 24.3387 | − | 14.7296i | 0.962824 | − | 0.582692i | ||||
\(640\) | −0.0910823 | + | 0.250247i | −0.00360035 | + | 0.00989187i | ||||
\(641\) | −4.38869 | + | 24.8895i | −0.173343 | + | 0.983076i | 0.766696 | + | 0.642010i | \(0.221899\pi\) |
−0.940039 | + | 0.341066i | \(0.889212\pi\) | |||||||
\(642\) | 15.8256 | − | 23.1049i | 0.624587 | − | 0.911879i | ||||
\(643\) | 11.3227 | − | 4.12111i | 0.446522 | − | 0.162521i | −0.108966 | − | 0.994046i | \(-0.534754\pi\) |
0.555488 | + | 0.831525i | \(0.312532\pi\) | |||||||
\(644\) | 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 | \(0.815903\pi\) | |||||||
\(648\) | 7.12714 | + | 5.49580i | 0.279981 | + | 0.215895i | ||||
\(649\) | −10.2685 | − | 28.2126i | −0.403075 | − | 1.10744i | ||||
\(650\) | 14.4409 | − | 2.54633i | 0.566420 | − | 0.0998752i | ||||
\(651\) | −12.6423 | − | 17.6645i | −0.495492 | − | 0.692327i | ||||
\(652\) | 3.27128 | + | 1.19065i | 0.128113 | + | 0.0466293i | ||||
\(653\) | −2.53710 | + | 1.46480i | −0.0992846 | + | 0.0573220i | −0.548820 | − | 0.835940i | \(-0.684923\pi\) |
0.449536 | + | 0.893262i | \(0.351589\pi\) | |||||||
\(654\) | −8.50277 | − | 30.4720i | −0.332484 | − | 1.19155i | ||||
\(655\) | 3.52536 | − | 2.95812i | 0.137747 | − | 0.115583i | ||||
\(656\) | −8.49669 | + | 7.12957i | −0.331740 | + | 0.278363i | ||||
\(657\) | 0.897474 | + | 0.493759i | 0.0350138 | + | 0.0192634i | ||||
\(658\) | −2.02588 | + | 1.16964i | −0.0789771 | + | 0.0455975i | ||||
\(659\) | 25.4128 | + | 9.24952i | 0.989944 | + | 0.360310i | 0.785699 | − | 0.618610i | \(-0.212304\pi\) |
0.204245 | + | 0.978920i | \(0.434526\pi\) | |||||||
\(660\) | 0.881957 | − | 0.631209i | 0.0343301 | − | 0.0245698i | ||||
\(661\) | 13.9832 | − | 2.46561i | 0.543883 | − | 0.0959013i | 0.105045 | − | 0.994467i | \(-0.466501\pi\) |
0.438838 | + | 0.898566i | \(0.355390\pi\) | |||||||
\(662\) | 1.26619 | + | 3.47882i | 0.0492118 | + | 0.135208i | ||||
\(663\) | 0.450218 | + | 4.59915i | 0.0174850 | + | 0.178616i | ||||
\(664\) | 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 | ||||
\(669\) | −17.8062 | − | 12.1963i | −0.688428 | − | 0.471536i | ||||
\(670\) | 0.236593 | − | 1.34178i | 0.00914038 | − | 0.0518377i | ||||
\(671\) | −0.711543 | + | 1.95495i | −0.0274688 | + | 0.0754700i | ||||
\(672\) | −0.521223 | + | 2.02870i | −0.0201066 | + | 0.0782589i | ||||
\(673\) | −4.68491 | − | 2.70483i | −0.180590 | − | 0.104264i | 0.406980 | − | 0.913437i | \(-0.366582\pi\) |
−0.587570 | + | 0.809173i | \(0.699915\pi\) | |||||||
\(674\) | 12.8807 | + | 15.3506i | 0.496146 | + | 0.591284i | ||||
\(675\) | 1.44181 | − | 25.5716i | 0.0554952 | − | 0.984253i | ||||
\(676\) | −2.07487 | + | 3.59378i | −0.0798026 | + | 0.138222i | ||||
\(677\) | 11.2154 | + | 19.4256i | 0.431043 | + | 0.746588i | 0.996963 | − | 0.0778720i | \(-0.0248125\pi\) |
−0.565921 | + | 0.824460i | \(0.691479\pi\) | |||||||
\(678\) | 1.79570 | + | 3.74944i | 0.0689636 | + | 0.143996i | ||||
\(679\) | 7.19722 | + | 1.26906i | 0.276204 | + | 0.0487022i | ||||
\(680\) | 0.0414727 | + | 0.235203i | 0.00159041 | + | 0.00901964i | ||||
\(681\) | −2.58585 | − | 1.17349i | −0.0990901 | − | 0.0449681i | ||||
\(682\) | −18.6799 | − | 15.6743i | −0.715290 | − | 0.600200i | ||||
\(683\) | −5.63051 | −0.215446 | −0.107723 | − | 0.994181i | \(-0.534356\pi\) | ||||
−0.107723 | + | 0.994181i | \(0.534356\pi\) | |||||||
\(684\) | 5.35395 | + | 11.9304i | 0.204713 | + | 0.456172i | ||||
\(685\) | −4.87153 | −0.186131 | ||||||||
\(686\) | −11.6146 | − | 9.74584i | −0.443449 | − | 0.372098i | ||||
\(687\) | −19.1708 | − | 8.69991i | −0.731412 | − | 0.331922i | ||||
\(688\) | −0.834031 | − | 4.73003i | −0.0317971 | − | 0.180331i | ||||
\(689\) | −16.8437 | − | 2.97000i | −0.641694 | − | 0.113148i | ||||
\(690\) | 1.12034 | + | 2.33927i | 0.0426504 | + | 0.0890543i | ||||
\(691\) | 8.10408 | + | 14.0367i | 0.308294 | + | 0.533980i | 0.977989 | − | 0.208655i | \(-0.0669087\pi\) |
−0.669696 | + | 0.742636i | \(0.733575\pi\) | |||||||
\(692\) | 4.16651 | − | 7.21660i | 0.158387 | − | 0.274334i | ||||
\(693\) | 6.42019 | − | 5.61688i | 0.243883 | − | 0.213368i | ||||
\(694\) | 0.183420 | + | 0.218592i | 0.00696254 | + | 0.00829763i | ||||
\(695\) | −0.530267 | − | 0.306150i | −0.0201142 | − | 0.0116129i | ||||
\(696\) | −1.08301 | + | 4.21529i | −0.0410515 | + | 0.159780i | ||||
\(697\) | −3.40218 | + | 9.34740i | −0.128867 | + | 0.354058i | ||||
\(698\) | 2.42716 | − | 13.7651i | 0.0918694 | − | 0.521017i | ||||
\(699\) | −3.44240 | − | 2.35786i | −0.130204 | − | 0.0891824i | ||||
\(700\) | 5.60132 | − | 2.03871i | 0.211710 | − | 0.0770561i | ||||
\(701\) | −25.1621 | + | 29.9870i | −0.950360 | + | 1.13260i | 0.0406990 | + | 0.999171i | \(0.487042\pi\) |
−0.991059 | + | 0.133424i | \(0.957403\pi\) | |||||||
\(702\) | −11.2636 | − | 10.5872i | −0.425116 | − | 0.399589i | ||||
\(703\) | −15.3748 | − | 7.83829i | −0.579872 | − | 0.295627i | ||||
\(704\) | 2.35132i | 0.0886186i | ||||||||
\(705\) | −0.0869287 | − | 0.888009i | −0.00327392 | − | 0.0334443i | ||||
\(706\) | −7.01582 | − | 19.2758i | −0.264044 | − | 0.725455i | ||||
\(707\) | −12.3459 | + | 2.17692i | −0.464317 | + | 0.0818715i | ||||
\(708\) | −17.9845 | + | 12.8714i | −0.675901 | + | 0.483736i | ||||
\(709\) | −0.294067 | − | 0.107032i | −0.0110439 | − | 0.00401966i | 0.336492 | − | 0.941686i | \(-0.390759\pi\) |
−0.347536 | + | 0.937667i | \(0.612982\pi\) | |||||||
\(710\) | −2.18703 | + | 1.26268i | −0.0820779 | + | 0.0473877i | ||||
\(711\) | −9.89008 | + | 17.9766i | −0.370907 | + | 0.674174i | ||||
\(712\) | 9.42217 | − | 7.90614i | 0.353111 | − | 0.296295i | ||||
\(713\) | 44.6726 | − | 37.4847i | 1.67300 | − | 1.40381i | ||||
\(714\) | 0.504878 | + | 1.80937i | 0.0188946 | + | 0.0677140i | ||||
\(715\) | −1.61325 | + | 0.931412i | −0.0603322 | + | 0.0348328i | ||||
\(716\) | 8.48129 | + | 3.08694i | 0.316961 | + | 0.115364i | ||||
\(717\) | 19.2997 | + | 26.9665i | 0.720760 | + | 1.00708i | ||||
\(718\) | −27.5586 | + | 4.85932i | −1.02848 | + | 0.181348i | ||||
\(719\) | 9.97683 | + | 27.4111i | 0.372073 | + | 1.02226i | 0.974559 | + | 0.224132i | \(0.0719548\pi\) |
−0.602486 | + | 0.798130i | \(0.705823\pi\) | |||||||
\(720\) | −0.622471 | − | 0.500803i | −0.0231981 | − | 0.0186638i | ||||
\(721\) | − | 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 | ||||
\(726\) | −5.35519 | + | 7.81841i | −0.198750 | + | 0.290169i | ||||
\(727\) | 1.39364 | − | 7.90374i | 0.0516873 | − | 0.293133i | −0.947996 | − | 0.318281i | \(-0.896894\pi\) |
0.999684 | + | 0.0251476i | \(0.00800557\pi\) | |||||||
\(728\) | 1.23046 | − | 3.38067i | 0.0456040 | − | 0.125296i | ||||
\(729\) | −22.5030 | + | 14.9203i | −0.833444 | + | 0.552604i | ||||
\(730\) | −0.0787468 | − | 0.0454645i | −0.00291455 | − | 0.00168272i | ||||
\(731\) | −2.76878 | − | 3.29971i | −0.102407 | − | 0.122044i | ||||
\(732\) | 1.52796 | + | 0.117812i | 0.0564750 | + | 0.00435447i | ||||
\(733\) | −8.60205 | + | 14.8992i | −0.317724 | + | 0.550314i | −0.980013 | − | 0.198935i | \(-0.936252\pi\) |
0.662289 | + | 0.749249i | \(0.269585\pi\) | |||||||
\(734\) | −0.761157 | − | 1.31836i | −0.0280948 | − | 0.0486617i | ||||
\(735\) | 2.30367 | − | 1.10329i | 0.0849722 | − | 0.0406954i | ||||
\(736\) | −5.53770 | − | 0.976446i | −0.204122 | − | 0.0359923i | ||||
\(737\) | −2.08896 | − | 11.8471i | −0.0769479 | − | 0.436393i | ||||
\(738\) | −12.0232 | − | 31.0268i | −0.442582 | − | 1.14211i | ||||
\(739\) | −19.8776 | − | 16.6793i | −0.731210 | − | 0.613558i | 0.199251 | − | 0.979948i | \(-0.436149\pi\) |
−0.930461 | + | 0.366390i | \(0.880593\pi\) | |||||||
\(740\) | 1.05435 | 0.0387587 | ||||||||
\(741\) | −7.15569 | − | 21.2899i | −0.262871 | − | 0.782105i | ||||
\(742\) | −6.95259 | −0.255237 | ||||||||
\(743\) | 35.8677 | + | 30.0966i | 1.31586 | + | 1.10414i | 0.987166 | + | 0.159700i | \(0.0510527\pi\) |
0.328693 | + | 0.944437i | \(0.393392\pi\) | |||||||
\(744\) | −7.42302 | + | 16.3571i | −0.272141 | + | 0.599680i | ||||
\(745\) | 0.362158 | + | 2.05390i | 0.0132684 | + | 0.0752491i | ||||
\(746\) | −4.70209 | − | 0.829106i | −0.172156 | − | 0.0303557i | ||||
\(747\) | −40.0817 | − | 13.6590i | −1.46651 | − | 0.499757i | ||||
\(748\) | 1.05436 | + | 1.82621i | 0.0385514 | + | 0.0667729i | ||||
\(749\) | −9.77655 | + | 16.9335i | −0.357227 | + | 0.618736i | ||||
\(750\) | −0.352082 | + | 4.56631i | −0.0128562 | + | 0.166738i | ||||
\(751\) | −1.93570 | − | 2.30687i | −0.0706346 | − | 0.0841791i | 0.729570 | − | 0.683906i | \(-0.239720\pi\) |
−0.800205 | + | 0.599727i | \(0.795276\pi\) | |||||||
\(752\) | 1.67524 | + | 0.967198i | 0.0610895 | + | 0.0352701i | ||||
\(753\) | −7.07097 | − | 1.81670i | −0.257680 | − | 0.0662044i | ||||
\(754\) | 2.55669 | − | 7.02444i | 0.0931091 | − | 0.255815i | ||||
\(755\) | −0.514892 | + | 2.92010i | −0.0187389 | + | 0.106273i | ||||
\(756\) | −5.25641 | − | 3.44325i | −0.191174 | − | 0.125230i | ||||
\(757\) | 6.18347 | − | 2.25060i | 0.224742 | − | 0.0817994i | −0.227195 | − | 0.973849i | \(-0.572955\pi\) |
0.451937 | + | 0.892050i | \(0.350733\pi\) | |||||||
\(758\) | −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 | \(0.929763\pi\) | |||||||
\(762\) | 10.2015 | − | 0.998647i | 0.369563 | − | 0.0361772i | ||||
\(763\) | 7.55461 | + | 20.7561i | 0.273495 | + | 0.751422i | ||||
\(764\) | 7.22112 | − | 1.27328i | 0.261251 | − | 0.0460656i | ||||
\(765\) | −0.708026 | − | 0.109837i | −0.0255987 | − | 0.00397116i | ||||
\(766\) | 30.5956 | + | 11.1359i | 1.10546 | + | 0.402356i | ||||
\(767\) | 32.8968 | − | 18.9930i | 1.18784 | − | 0.685797i | ||||
\(768\) | 1.66832 | − | 0.465520i | 0.0602003 | − | 0.0167980i | ||||
\(769\) | −28.1846 | + | 23.6497i | −1.01636 | + | 0.852830i | −0.989166 | − | 0.146800i | \(-0.953103\pi\) |
−0.0271972 | + | 0.999630i | \(0.508658\pi\) | |||||||
\(770\) | −0.580078 | + | 0.486743i | −0.0209045 | + | 0.0175410i | ||||
\(771\) | −29.6513 | + | 8.27376i | −1.06787 | + | 0.297972i | ||||
\(772\) | −1.55248 | + | 0.896322i | −0.0558748 | + | 0.0322593i | ||||
\(773\) | −15.8791 | − | 5.77952i | −0.571132 | − | 0.207875i | 0.0402788 | − | 0.999188i | \(-0.487175\pi\) |
−0.611411 | + | 0.791314i | \(0.709398\pi\) | |||||||
\(774\) | 14.2387 | + | 2.20886i | 0.511799 | + | 0.0793958i | ||||
\(775\) | 50.3416 | − | 8.87657i | 1.80832 | − | 0.318856i | ||||
\(776\) | −2.06693 | − | 5.67885i | −0.0741986 | − | 0.203859i | ||||
\(777\) | 8.25336 | − | 0.807936i | 0.296088 | − | 0.0289845i | ||||
\(778\) | 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 | ||||
\(783\) | −10.9219 | − | 7.15448i | −0.390317 | − | 0.255680i | ||||
\(784\) | −0.961588 | + | 5.45344i | −0.0343424 | + | 0.194766i | ||||
\(785\) | −1.93296 | + | 5.31077i | −0.0689904 | + | 0.189550i | ||||
\(786\) | −28.9899 | − | 7.44821i | −1.03403 | − | 0.265669i | ||||
\(787\) | −19.2256 | − | 11.0999i | −0.685319 | − | 0.395669i | 0.116537 | − | 0.993186i | \(-0.462821\pi\) |
−0.801856 | + | 0.597517i | \(0.796154\pi\) | |||||||
\(788\) | 5.08627 | + | 6.06158i | 0.181191 | + | 0.215935i | ||||
\(789\) | 0.149170 | − | 1.93465i | 0.00531059 | − | 0.0688754i | ||||
\(790\) | 0.910662 | − | 1.57731i | 0.0323999 | − | 0.0561183i | ||||
\(791\) | −1.45129 | − | 2.51372i | −0.0516021 | − | 0.0893774i | ||||
\(792\) | −6.67690 | − | 2.27535i | −0.237253 | − | 0.0808511i | ||||
\(793\) | −2.59220 | − | 0.457074i | −0.0920516 | − | 0.0162312i | ||||
\(794\) | −4.29868 | − | 24.3790i | −0.152555 | − | 0.865180i | ||||
\(795\) | 1.09588 | − | 2.41484i | 0.0388667 | − | 0.0856454i | ||||
\(796\) | −8.01318 | − | 6.72386i | −0.284020 | − | 0.238321i | ||||
\(797\) | −34.5294 | −1.22309 | −0.611547 | − | 0.791208i | \(-0.709453\pi\) | ||||
−0.611547 | + | 0.791208i | \(0.709453\pi\) | |||||||
\(798\) | −4.36741 | − | 8.01777i | −0.154605 | − | 0.283826i | ||||
\(799\) | 1.73482 | 0.0613736 | ||||||||
\(800\) | −3.77589 | − | 3.16835i | −0.133498 | − | 0.112018i | ||||
\(801\) | 13.3329 | + | 34.4063i | 0.471093 | + | 1.21569i | ||||
\(802\) | 1.10942 | + | 6.29183i | 0.0391750 | + | 0.222172i | ||||
\(803\) | −0.790647 | − | 0.139412i | −0.0279013 | − | 0.00491976i | ||||
\(804\) | −7.99223 | + | 3.82769i | −0.281864 | + | 0.134992i | ||||
\(805\) | −0.905459 | − | 1.56830i | −0.0319132 | − | 0.0552753i | ||||
\(806\) | 15.4261 | − | 26.7189i | 0.543363 | − | 0.941132i | ||||
\(807\) | −33.6142 | − | 2.59180i | −1.18328 | − | 0.0912357i | ||||
\(808\) | 6.66349 | + | 7.94123i | 0.234421 | + | 0.279372i | ||||
\(809\) | 19.0821 | + | 11.0171i | 0.670892 | + | 0.387340i | 0.796415 | − | 0.604751i | \(-0.206727\pi\) |
−0.125523 | + | 0.992091i | \(0.540061\pi\) | |||||||
\(810\) | 2.02446 | − | 1.28297i | 0.0711324 | − | 0.0450791i | ||||
\(811\) | −3.43077 | + | 9.42596i | −0.120471 | + | 0.330990i | −0.985240 | − | 0.171179i | \(-0.945242\pi\) |
0.864769 | + | 0.502169i | \(0.167465\pi\) | |||||||
\(812\) | 0.527663 | − | 2.99253i | 0.0185173 | − | 0.105017i | ||||
\(813\) | −0.311298 | + | 0.454486i | −0.0109177 | + | 0.0159395i | ||||
\(814\) | 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 | ||||||||
\(819\) | 8.40918 | + | 6.76552i | 0.293840 | + | 0.236406i | ||||
\(820\) | 1.01025 | + | 2.77565i | 0.0352795 | + | 0.0969297i | ||||
\(821\) | 38.9746 | − | 6.87227i | 1.36022 | − | 0.239844i | 0.554523 | − | 0.832169i | \(-0.312901\pi\) |
0.805699 | + | 0.592325i | \(0.201790\pi\) | |||||||
\(822\) | 18.4401 | + | 25.7654i | 0.643171 | + | 0.898671i | ||||
\(823\) | 35.1506 | + | 12.7938i | 1.22527 | + | 0.445963i | 0.871976 | − | 0.489548i | \(-0.162838\pi\) |
0.353297 | + | 0.935511i | \(0.385061\pi\) | |||||||
\(824\) | −12.7994 | + | 7.38973i | −0.445888 | + | 0.257433i | ||||
\(825\) | 5.39530 | + | 19.3355i | 0.187840 | + | 0.673177i | ||||
\(826\) | 11.8287 | − | 9.92548i | 0.411574 | − | 0.345351i | ||||
\(827\) | 12.2053 | − | 10.2415i | 0.424421 | − | 0.356132i | −0.405421 | − | 0.914130i | \(-0.632875\pi\) |
0.829842 | + | 0.557998i | \(0.188430\pi\) | |||||||
\(828\) | 8.13155 | − | 14.7802i | 0.282591 | − | 0.513647i | ||||
\(829\) | 34.9707 | − | 20.1903i | 1.21458 | − | 0.701239i | 0.250828 | − | 0.968032i | \(-0.419297\pi\) |
0.963754 | + | 0.266793i | \(0.0859639\pi\) | |||||||
\(830\) | 3.53224 | + | 1.28563i | 0.122606 | + | 0.0446249i | ||||
\(831\) | 30.8962 | − | 22.1121i | 1.07178 | − | 0.767061i | ||||
\(832\) | −2.92974 | + | 0.516593i | −0.101571 | + | 0.0179096i | ||||
\(833\) | 1.69856 | + | 4.66675i | 0.0588515 | + | 0.161693i | ||||
\(834\) | 0.387987 | + | 3.96343i | 0.0134349 | + | 0.137242i | ||||
\(835\) | − | 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 | \(-0.394411\pi\) |
0.857222 | + | 0.514947i | \(0.172188\pi\) | |||||||
\(840\) | 0.460202 | + | 0.315213i | 0.0158785 | + | 0.0108759i | ||||
\(841\) | −3.93940 | + | 22.3415i | −0.135842 | + | 0.770396i | ||||
\(842\) | −11.8370 | + | 32.5219i | −0.407930 | + | 1.12078i | ||||
\(843\) | 6.50306 | − | 25.3112i | 0.223977 | − | 0.871764i | ||||
\(844\) | 12.0320 | + | 6.94667i | 0.414158 | + | 0.239114i | ||||
\(845\) | 0.710347 | + | 0.846558i | 0.0244367 | + | 0.0291225i | ||||
\(846\) | −4.36761 | + | 3.82112i | −0.150161 | + | 0.131373i | ||||
\(847\) | 3.30826 | − | 5.73007i | 0.113673 | − | 0.196888i | ||||
\(848\) | 2.87460 | + | 4.97896i | 0.0987143 | + | 0.170978i | ||||
\(849\) | −4.96813 | − | 10.3735i | −0.170506 | − | 0.356017i | ||||
\(850\) | −4.35338 | − | 0.767619i | −0.149320 | − | 0.0263291i | ||||
\(851\) | 3.86590 | + | 21.9246i | 0.132521 | + | 0.751566i | ||||
\(852\) | 14.9568 | + | 6.78756i | 0.512412 | + | 0.232538i | ||||
\(853\) | −1.13152 | − | 0.949455i | −0.0387424 | − | 0.0325087i | 0.623211 | − | 0.782054i | \(-0.285828\pi\) |
−0.661953 | + | 0.749545i | \(0.730272\pi\) | |||||||
\(854\) | −1.06998 | −0.0366141 | ||||||||
\(855\) | 3.47320 | − | 0.253156i | 0.118781 | − | 0.00865776i | ||||
\(856\) | 16.1688 | 0.552637 | ||||||||
\(857\) | −33.3088 | − | 27.9494i | −1.13781 | − | 0.954734i | −0.138443 | − | 0.990370i | \(-0.544210\pi\) |
−0.999365 | + | 0.0356363i | \(0.988654\pi\) | |||||||
\(858\) | 11.0328 | + | 5.00681i | 0.376654 | + | 0.170930i | ||||
\(859\) | −3.97170 | − | 22.5246i | −0.135513 | − | 0.768530i | −0.974501 | − | 0.224381i | \(-0.927964\pi\) |
0.838989 | − | 0.544149i | \(-0.183147\pi\) | |||||||
\(860\) | −1.25964 | − | 0.222108i | −0.0429533 | − | 0.00757383i | ||||
\(861\) | 10.0351 | + | 20.9534i | 0.341995 | + | 0.714088i | ||||
\(862\) | 16.0755 | + | 27.8435i | 0.547532 | + | 0.948354i | ||||
\(863\) | 2.34962 | − | 4.06966i | 0.0799820 | − | 0.138533i | −0.823260 | − | 0.567665i | \(-0.807847\pi\) |
0.903242 | + | 0.429132i | \(0.141180\pi\) | |||||||
\(864\) | −0.292510 | + | 5.18791i | −0.00995140 | + | 0.176496i | ||||
\(865\) | −1.42644 | − | 1.69996i | −0.0485003 | − | 0.0578004i | ||||
\(866\) | 19.9807 | + | 11.5359i | 0.678972 | + | 0.392005i | ||||
\(867\) | −6.98047 | + | 27.1694i | −0.237069 | + | 0.922720i | ||||
\(868\) | 4.28943 | − | 11.7851i | 0.145593 | − | 0.400013i | ||||
\(869\) | 2.79245 | − | 15.8368i | 0.0947275 | − | 0.537227i | ||||
\(870\) | 0.956220 | + | 0.654959i | 0.0324189 | + | 0.0222052i | ||||
\(871\) | 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 | ||||||
\(876\) | 0.0576176 | + | 0.588585i | 0.00194672 | + | 0.0198865i | ||||
\(877\) | 5.78823 | + | 15.9030i | 0.195455 | + | 0.537007i | 0.998243 | − | 0.0592572i | \(-0.0188732\pi\) |
−0.802788 | + | 0.596264i | \(0.796651\pi\) | |||||||
\(878\) | −11.6031 | + | 2.04594i | −0.391586 | + | 0.0690471i | ||||
\(879\) | 40.0090 | − | 28.6341i | 1.34947 | − | 0.965803i | ||||
\(880\) | 0.588409 | + | 0.214163i | 0.0198353 | + | 0.00721945i | ||||
\(881\) | −8.11257 | + | 4.68379i | −0.273319 | + | 0.157801i | −0.630395 | − | 0.776274i | \(-0.717107\pi\) |
0.357076 | + | 0.934075i | \(0.383774\pi\) | |||||||
\(882\) | −14.5553 | − | 8.00781i | −0.490102 | − | 0.269637i | ||||
\(883\) | −9.97646 | + | 8.37124i | −0.335735 | + | 0.281715i | −0.795032 | − | 0.606568i | \(-0.792546\pi\) |
0.459297 | + | 0.888283i | \(0.348101\pi\) | |||||||
\(884\) | −2.04382 | + | 1.71496i | −0.0687409 | + | 0.0576805i | ||||
\(885\) | 1.58295 | + | 5.67293i | 0.0532101 | + | 0.190693i | ||||
\(886\) | −18.4426 | + | 10.6479i | −0.619593 | + | 0.357722i | ||||
\(887\) | −19.4826 | − | 7.09109i | −0.654162 | − | 0.238095i | −0.00644793 | − | 0.999979i | \(-0.502052\pi\) |
−0.647714 | + | 0.761884i | \(0.724275\pi\) | |||||||
\(888\) | −3.99101 | − | 5.57644i | −0.133929 | − | 0.187133i | ||||
\(889\) | −7.04801 | + | 1.24275i | −0.236383 | + | 0.0416806i | ||||
\(890\) | −1.12029 | − | 3.07798i | −0.0375523 | − | 0.103174i | ||||
\(891\) | 12.9224 | − | 16.7582i | 0.432916 | − | 0.561420i | ||||
\(892\) | − | 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 | ||||
\(897\) | −16.3734 | + | 23.9047i | −0.546693 | + | 0.798155i | ||||
\(898\) | −2.07093 | + | 11.7448i | −0.0691078 | + | 0.391930i | ||||
\(899\) | 8.91269 | − | 24.4874i | 0.297255 | − | 0.816701i | ||||
\(900\) | 12.6509 | − | 7.65620i | 0.421696 | − | 0.255207i | ||||
\(901\) | 4.46527 | + | 2.57803i | 0.148760 | + | 0.0858865i | ||||
\(902\) | 16.7639 | + | 19.9784i | 0.558176 | + | 0.665208i | ||||
\(903\) | −10.0305 | − | 0.773398i | −0.333795 | − | 0.0257371i | ||||
\(904\) | −1.20010 | + | 2.07863i | −0.0399147 | + | 0.0691343i | ||||
\(905\) | 1.22421 | + | 2.12039i | 0.0406940 | + | 0.0704840i | ||||
\(906\) | 17.3933 | − | 8.33012i | 0.577855 | − | 0.276750i | ||||
\(907\) | −13.6673 | − | 2.40991i | −0.453815 | − | 0.0800198i | −0.0579313 | − | 0.998321i | \(-0.518450\pi\) |
−0.395883 | + | 0.918301i | \(0.629562\pi\) | |||||||
\(908\) | −0.284693 | − | 1.61457i | −0.00944787 | − | 0.0535815i | ||||
\(909\) | −28.9985 | + | 11.2373i | −0.961819 | + | 0.372716i | ||||
\(910\) | −0.733927 | − | 0.615838i | −0.0243294 | − | 0.0204148i | ||||
\(911\) | −16.4560 | −0.545212 | −0.272606 | − | 0.962126i | \(-0.587885\pi\) | ||||
−0.272606 | + | 0.962126i | \(0.587885\pi\) | |||||||
\(912\) | −3.93603 | + | 6.44265i | −0.130335 | + | 0.213337i | ||||
\(913\) | 33.1889 | 1.09839 | ||||||||
\(914\) | 14.6574 | + | 12.2990i | 0.484823 | + | 0.406815i | ||||
\(915\) | 0.168652 | − | 0.371636i | 0.00557547 | − | 0.0122859i | ||||
\(916\) | −2.11064 | − | 11.9700i | −0.0697374 | − | 0.395501i | ||||
\(917\) | 20.5805 | + | 3.62890i | 0.679629 | + | 0.119837i | ||||
\(918\) | 2.09915 | + | 4.16050i | 0.0692822 | + | 0.137317i | ||||
\(919\) | −26.4636 | − | 45.8364i | −0.872955 | − | 1.51200i | −0.858926 | − | 0.512100i | \(-0.828868\pi\) |
−0.0140292 | − | 0.999902i | \(-0.504466\pi\) | |||||||
\(920\) | −0.748739 | + | 1.29685i | −0.0246852 | + | 0.0427560i | ||||
\(921\) | −0.580457 | + | 7.52819i | −0.0191267 | + | 0.248062i | ||||
\(922\) | 19.3700 | + | 23.0842i | 0.637916 | + | 0.760239i | ||||
\(923\) | −24.4315 | − | 14.1056i | −0.804174 | − | 0.464290i | ||||
\(924\) | 4.77012 | + | 1.22556i | 0.156926 | + | 0.0403180i | ||||
\(925\) | −6.67453 | + | 18.3381i | −0.219457 | + | 0.602953i | ||||
\(926\) | 4.44179 | − | 25.1907i | 0.145966 | − | 0.827817i | ||||
\(927\) | −8.59832 | − | 43.4966i | −0.282406 | − | 1.42862i | ||||
\(928\) | −2.36121 | + | 0.859409i | −0.0775104 | + | 0.0282115i | ||||
\(929\) | −35.2607 | + | 42.0221i | −1.15687 | + | 1.37870i | −0.244337 | + | 0.969690i | \(0.578570\pi\) |
−0.912530 | + | 0.409010i | \(0.865874\pi\) | |||||||
\(930\) | 3.41720 | + | 3.34743i | 0.112055 | + | 0.109767i | ||||
\(931\) | −13.1417 | − | 20.2466i | −0.430702 | − | 0.663555i | ||||
\(932\) | − | 2.40898i | − | 0.0789089i | ||||||
\(933\) | −8.18253 | + | 0.801002i | −0.267884 | + | 0.0262236i | ||||
\(934\) | 9.73308 | + | 26.7414i | 0.318476 | + | 0.875006i | ||||
\(935\) | 0.553038 | − | 0.0975154i | 0.0180863 | − | 0.00318910i | ||||
\(936\) | 1.36815 | − | 8.81933i | 0.0447194 | − | 0.288269i | ||||
\(937\) | −50.8597 | − | 18.5114i | −1.66151 | − | 0.604741i | −0.670914 | − | 0.741536i | \(-0.734098\pi\) |
−0.990599 | + | 0.136794i | \(0.956320\pi\) | |||||||
\(938\) | 5.35819 | − | 3.09355i | 0.174951 | − | 0.101008i | ||||
\(939\) | 31.5836 | − | 8.81294i | 1.03069 | − | 0.287600i | ||||
\(940\) | 0.394622 | − | 0.331127i | 0.0128712 | − | 0.0108002i | ||||
\(941\) | 3.61129 | − | 3.03024i | 0.117725 | − | 0.0987829i | −0.582025 | − | 0.813171i | \(-0.697739\pi\) |
0.699750 | + | 0.714388i | \(0.253295\pi\) | |||||||
\(942\) | 35.4053 | − | 9.87933i | 1.15357 | − | 0.321886i | ||||
\(943\) | −54.0137 | + | 31.1848i | −1.75893 | + | 1.01552i | ||||
\(944\) | −11.9986 | − | 4.36714i | −0.390522 | − | 0.142138i | ||||
\(945\) | −1.34043 | + | 1.00178i | −0.0436041 | + | 0.0325879i | ||||
\(946\) | −11.1218 | + | 1.96107i | −0.361601 | + | 0.0637600i | ||||
\(947\) | −3.75659 | − | 10.3211i | −0.122073 | − | 0.335392i | 0.863572 | − | 0.504226i | \(-0.168222\pi\) |
−0.985645 | + | 0.168834i | \(0.946000\pi\) | |||||||
\(948\) | −11.7895 | + | 1.15409i | −0.382904 | + | 0.0374832i | ||||
\(949\) | − | 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 | \(-0.593775\pi\) |
0.392667 | + | 0.919681i | \(0.371552\pi\) | |||||||
\(954\) | −16.9202 | + | 3.34475i | −0.547812 | + | 0.108290i | ||||
\(955\) | 0.339083 | − | 1.92303i | 0.0109725 | − | 0.0622279i | ||||
\(956\) | −6.54821 | + | 17.9910i | −0.211784 | + | 0.581872i | ||||
\(957\) | 9.91150 | + | 2.54650i | 0.320393 | + | 0.0823168i | ||||
\(958\) | −10.7014 | − | 6.17844i | −0.345745 | − | 0.199616i | ||||
\(959\) | −14.2196 | − | 16.9463i | −0.459176 | − | 0.547225i | ||||
\(960\) | 0.0354597 | − | 0.459892i | 0.00114446 | − | 0.0148430i | ||||
\(961\) | 38.2760 | − | 66.2960i | 1.23471 | − | 2.13858i | ||||
\(962\) | 5.88913 | + | 10.2003i | 0.189873 | + | 0.328870i | ||||
\(963\) | −15.6464 | + | 45.9135i | −0.504198 | + | 1.47954i | ||||
\(964\) | 4.13200 | + | 0.728583i | 0.133083 | + | 0.0234661i | ||||
\(965\) | 0.0828985 | + | 0.470141i | 0.00266860 | + | 0.0151344i | ||||
\(966\) | −4.86729 | + | 10.7254i | −0.156603 | + | 0.345084i | ||||
\(967\) | −14.0085 | − | 11.7545i | −0.450482 | − | 0.377999i | 0.389133 | − | 0.921182i | \(-0.372775\pi\) |
−0.839615 | + | 0.543183i | \(0.817219\pi\) | |||||||
\(968\) | −5.47131 | −0.175854 | ||||||||
\(969\) | −0.168044 | + | 6.76882i | −0.00539835 | + | 0.217446i | ||||
\(970\) | −1.60938 | −0.0516739 | ||||||||
\(971\) | −24.2199 | − | 20.3229i | −0.777254 | − | 0.652193i | 0.165302 | − | 0.986243i | \(-0.447140\pi\) |
−0.942555 | + | 0.334050i | \(0.891585\pi\) | |||||||
\(972\) | −14.4488 | − | 5.85093i | −0.463444 | − | 0.187669i | ||||
\(973\) | −0.482826 | − | 2.73824i | −0.0154787 | − | 0.0877839i | ||||
\(974\) | −27.6832 | − | 4.88130i | −0.887028 | − | 0.156407i | ||||
\(975\) | −22.9067 | + | 10.9706i | −0.733603 | + | 0.351341i | ||||
\(976\) | 0.442393 | + | 0.766248i | 0.0141607 | + | 0.0245270i | ||||
\(977\) | −24.2192 | + | 41.9488i | −0.774839 | + | 1.34206i | 0.160045 | + | 0.987110i | \(0.448836\pi\) |
−0.934885 | + | 0.354952i | \(0.884497\pi\) | |||||||
\(978\) | −6.01180 | − | 0.463536i | −0.192236 | − | 0.0148223i | ||||
\(979\) | −18.5898 | − | 22.1545i | −0.594134 | − | 0.708061i | ||||
\(980\) | 1.27712 | + | 0.737346i | 0.0407961 | + | 0.0235536i | ||||
\(981\) | 28.3707 | + | 46.8789i | 0.905806 | + | 1.49673i | ||||
\(982\) | −1.17147 | + | 3.21859i | −0.0373832 | + | 0.102709i | ||||
\(983\) | 4.70703 | − | 26.6949i | 0.150131 | − | 0.851435i | −0.812972 | − | 0.582303i | \(-0.802152\pi\) |
0.963103 | − | 0.269133i | \(-0.0867370\pi\) | |||||||
\(984\) | 10.8562 | − | 15.8498i | 0.346084 | − | 0.505272i | ||||
\(985\) | 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 | ||||||
\(990\) | −1.17755 | + | 1.46363i | −0.0374249 | + | 0.0465171i | ||||
\(991\) | 16.6261 | + | 45.6797i | 0.528144 | + | 1.45106i | 0.861253 | + | 0.508176i | \(0.169680\pi\) |
−0.333109 | + | 0.942888i | \(0.608098\pi\) | |||||||
\(992\) | −10.2132 | + | 1.80086i | −0.324269 | + | 0.0571773i | ||||
\(993\) | −3.73186 | − | 5.21435i | −0.118427 | − | 0.165472i | ||||
\(994\) | −10.7762 | − | 3.92222i | −0.341801 | − | 0.124405i | ||||
\(995\) | −2.41248 | + | 1.39285i | −0.0764808 | + | 0.0441562i | ||||
\(996\) | −6.57083 | − | 23.5484i | −0.208205 | − | 0.746159i | ||||
\(997\) | −7.46423 | + | 6.26323i | −0.236394 | + | 0.198358i | −0.753287 | − | 0.657692i | \(-0.771533\pi\) |
0.516893 | + | 0.856050i | \(0.327089\pi\) | |||||||
\(998\) | −29.3171 | + | 24.6000i | −0.928018 | + | 0.778699i | ||||
\(999\) | 19.6972 | − | 5.93676i | 0.623191 | − | 0.187831i |
(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.a.41.3 | ✓ | 18 | |
3.2 | odd | 2 | 114.2.l.b.41.1 | yes | 18 | ||
4.3 | odd | 2 | 912.2.cc.d.497.1 | 18 | |||
12.11 | even | 2 | 912.2.cc.c.497.3 | 18 | |||
19.13 | odd | 18 | 114.2.l.b.89.1 | yes | 18 | ||
57.32 | even | 18 | inner | 114.2.l.a.89.3 | yes | 18 | |
76.51 | even | 18 | 912.2.cc.c.545.3 | 18 | |||
228.203 | odd | 18 | 912.2.cc.d.545.1 | 18 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
114.2.l.a.41.3 | ✓ | 18 | 1.1 | even | 1 | trivial | |
114.2.l.a.89.3 | yes | 18 | 57.32 | even | 18 | inner | |
114.2.l.b.41.1 | yes | 18 | 3.2 | odd | 2 | ||
114.2.l.b.89.1 | yes | 18 | 19.13 | odd | 18 | ||
912.2.cc.c.497.3 | 18 | 12.11 | even | 2 | |||
912.2.cc.c.545.3 | 18 | 76.51 | even | 18 | |||
912.2.cc.d.497.1 | 18 | 4.3 | odd | 2 | |||
912.2.cc.d.545.1 | 18 | 228.203 | odd | 18 |