Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [100,2,Mod(3,100)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(100, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([10, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("100.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 100 = 2^{2} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 100.l (of order \(20\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.798504020213\) |
Analytic rank: | \(0\) |
Dimension: | \(96\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 23.1 | ||
Character | \(\chi\) | \(=\) | 100.23 |
Dual form | 100.2.l.b.87.1 |
$q$-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 \(\left(\mathbb{Z}/100\mathbb{Z}\right)^\times\).
\(n\) | \(51\) | \(77\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{11}{20}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.41083 | − | 0.0976968i | −0.997611 | − | 0.0690820i | ||||
\(3\) | 0.0867473 | + | 0.170251i | 0.0500836 | + | 0.0982946i | 0.914692 | − | 0.404152i | \(-0.132433\pi\) |
−0.864608 | + | 0.502447i | \(0.832433\pi\) | |||||||
\(4\) | 1.98091 | + | 0.275668i | 0.990455 | + | 0.137834i | ||||
\(5\) | −1.18066 | + | 1.89896i | −0.528006 | + | 0.849240i | ||||
\(6\) | −0.105753 | − | 0.248671i | −0.0431735 | − | 0.101520i | ||||
\(7\) | 1.89427 | + | 1.89427i | 0.715965 | + | 0.715965i | 0.967776 | − | 0.251811i | \(-0.0810262\pi\) |
−0.251811 | + | 0.967776i | \(0.581026\pi\) | |||||||
\(8\) | −2.76781 | − | 0.582451i | −0.978567 | − | 0.205927i | ||||
\(9\) | 1.74190 | − | 2.39751i | 0.580632 | − | 0.799171i | ||||
\(10\) | 1.85124 | − | 2.56377i | 0.585412 | − | 0.810736i | ||||
\(11\) | 2.99934 | + | 4.12824i | 0.904336 | + | 1.24471i | 0.969064 | + | 0.246809i | \(0.0793819\pi\) |
−0.0647283 | + | 0.997903i | \(0.520618\pi\) | |||||||
\(12\) | 0.124906 | + | 0.361166i | 0.0360572 | + | 0.104260i | ||||
\(13\) | 0.433317 | + | 2.73586i | 0.120181 | + | 0.758790i | 0.972005 | + | 0.234962i | \(0.0754966\pi\) |
−0.851824 | + | 0.523828i | \(0.824503\pi\) | |||||||
\(14\) | −2.48743 | − | 2.85756i | −0.664795 | − | 0.763715i | ||||
\(15\) | −0.425719 | − | 0.0362789i | −0.109920 | − | 0.00936717i | ||||
\(16\) | 3.84801 | + | 1.09215i | 0.962004 | + | 0.273037i | ||||
\(17\) | −4.16697 | − | 2.12318i | −1.01064 | − | 0.514947i | −0.131402 | − | 0.991329i | \(-0.541948\pi\) |
−0.879238 | + | 0.476383i | \(0.841948\pi\) | |||||||
\(18\) | −2.69176 | + | 3.21232i | −0.634453 | + | 0.757151i | ||||
\(19\) | −1.55045 | − | 4.77181i | −0.355699 | − | 1.09473i | −0.955603 | − | 0.294657i | \(-0.904795\pi\) |
0.599905 | − | 0.800072i | \(-0.295205\pi\) | |||||||
\(20\) | −2.86226 | + | 3.43620i | −0.640021 | + | 0.768357i | ||||
\(21\) | −0.158179 | + | 0.486824i | −0.0345174 | + | 0.106234i | ||||
\(22\) | −3.82826 | − | 6.11729i | −0.816188 | − | 1.30421i | ||||
\(23\) | 0.699923 | − | 4.41914i | 0.145944 | − | 0.921455i | −0.800675 | − | 0.599100i | \(-0.795525\pi\) |
0.946619 | − | 0.322355i | \(-0.104475\pi\) | |||||||
\(24\) | −0.140937 | − | 0.521748i | −0.0287686 | − | 0.106501i | ||||
\(25\) | −2.21209 | − | 4.48404i | −0.442418 | − | 0.896809i | ||||
\(26\) | −0.344055 | − | 3.90218i | −0.0674747 | − | 0.765280i | ||||
\(27\) | 1.12546 | + | 0.178255i | 0.216595 | + | 0.0343052i | ||||
\(28\) | 3.23018 | + | 4.27456i | 0.610447 | + | 0.807816i | ||||
\(29\) | −0.211843 | − | 0.0688321i | −0.0393383 | − | 0.0127818i | 0.289282 | − | 0.957244i | \(-0.406584\pi\) |
−0.328620 | + | 0.944462i | \(0.606584\pi\) | |||||||
\(30\) | 0.597075 | + | 0.0927749i | 0.109010 | + | 0.0169383i | ||||
\(31\) | −7.01920 | + | 2.28068i | −1.26069 | + | 0.409622i | −0.861739 | − | 0.507352i | \(-0.830624\pi\) |
−0.398947 | + | 0.916974i | \(0.630624\pi\) | |||||||
\(32\) | −5.32221 | − | 1.91678i | −0.940843 | − | 0.338842i | ||||
\(33\) | −0.442653 | + | 0.868756i | −0.0770560 | + | 0.151231i | ||||
\(34\) | 5.67148 | + | 3.40256i | 0.972652 | + | 0.583533i | ||||
\(35\) | −5.83362 | + | 1.36065i | −0.986061 | + | 0.229992i | ||||
\(36\) | 4.11146 | − | 4.26907i | 0.685243 | − | 0.711512i | ||||
\(37\) | 4.32186 | − | 0.684516i | 0.710510 | − | 0.112534i | 0.209290 | − | 0.977854i | \(-0.432885\pi\) |
0.501220 | + | 0.865320i | \(0.332885\pi\) | |||||||
\(38\) | 1.72125 | + | 6.88371i | 0.279223 | + | 1.11669i | ||||
\(39\) | −0.428194 | + | 0.311101i | −0.0685659 | + | 0.0498160i | ||||
\(40\) | 4.37388 | − | 4.56828i | 0.691572 | − | 0.722308i | ||||
\(41\) | 2.54404 | + | 1.84835i | 0.397312 | + | 0.288664i | 0.768445 | − | 0.639915i | \(-0.221031\pi\) |
−0.371133 | + | 0.928580i | \(0.621031\pi\) | |||||||
\(42\) | 0.270725 | − | 0.671374i | 0.0417738 | − | 0.103595i | ||||
\(43\) | 2.68807 | − | 2.68807i | 0.409927 | − | 0.409927i | −0.471786 | − | 0.881713i | \(-0.656391\pi\) |
0.881713 | + | 0.471786i | \(0.156391\pi\) | |||||||
\(44\) | 4.80341 | + | 9.00450i | 0.724141 | + | 1.35748i | ||||
\(45\) | 2.49620 | + | 6.13843i | 0.372111 | + | 0.915063i | ||||
\(46\) | −1.41921 | + | 6.16630i | −0.209251 | + | 0.909171i | ||||
\(47\) | 7.84709 | − | 3.99829i | 1.14462 | − | 0.583211i | 0.224351 | − | 0.974508i | \(-0.427974\pi\) |
0.920264 | + | 0.391298i | \(0.127974\pi\) | |||||||
\(48\) | 0.147866 | + | 0.749870i | 0.0213425 | + | 0.108234i | ||||
\(49\) | 0.176489i | 0.0252127i | ||||||||
\(50\) | 2.68282 | + | 6.54236i | 0.379408 | + | 0.925229i | ||||
\(51\) | − | 0.893612i | − | 0.125131i | ||||||
\(52\) | 0.104174 | + | 5.53894i | 0.0144464 | + | 0.768113i | ||||
\(53\) | 1.64295 | − | 0.837124i | 0.225676 | − | 0.114988i | −0.337497 | − | 0.941327i | \(-0.609580\pi\) |
0.563173 | + | 0.826339i | \(0.309580\pi\) | |||||||
\(54\) | −1.57042 | − | 0.361442i | −0.213707 | − | 0.0491861i | ||||
\(55\) | −11.3806 | + | 0.821587i | −1.53455 | + | 0.110783i | ||||
\(56\) | −4.13965 | − | 6.34628i | −0.553183 | − | 0.848057i | ||||
\(57\) | 0.677908 | − | 0.677908i | 0.0897912 | − | 0.0897912i | ||||
\(58\) | 0.292151 | + | 0.117807i | 0.0383614 | + | 0.0154688i | ||||
\(59\) | −7.33328 | − | 5.32794i | −0.954712 | − | 0.693639i | −0.00279513 | − | 0.999996i | \(-0.500890\pi\) |
−0.951917 | + | 0.306357i | \(0.900890\pi\) | |||||||
\(60\) | −0.833310 | − | 0.189222i | −0.107580 | − | 0.0244285i | ||||
\(61\) | 1.16375 | − | 0.845512i | 0.149003 | − | 0.108257i | −0.510786 | − | 0.859708i | \(-0.670646\pi\) |
0.659789 | + | 0.751451i | \(0.270646\pi\) | |||||||
\(62\) | 10.1258 | − | 2.53191i | 1.28597 | − | 0.321552i | ||||
\(63\) | 7.84114 | − | 1.24191i | 0.987891 | − | 0.156467i | ||||
\(64\) | 7.32150 | + | 3.22422i | 0.915188 | + | 0.403028i | ||||
\(65\) | −5.70688 | − | 2.40726i | −0.707852 | − | 0.298584i | ||||
\(66\) | 0.709385 | − | 1.18243i | 0.0873193 | − | 0.145546i | ||||
\(67\) | −1.53527 | + | 3.01313i | −0.187563 | + | 0.368113i | −0.965570 | − | 0.260142i | \(-0.916231\pi\) |
0.778007 | + | 0.628255i | \(0.216231\pi\) | |||||||
\(68\) | −7.66911 | − | 5.35453i | −0.930016 | − | 0.649332i | ||||
\(69\) | 0.813081 | − | 0.264186i | 0.0978834 | − | 0.0318043i | ||||
\(70\) | 8.36320 | − | 1.34973i | 0.999594 | − | 0.161324i | ||||
\(71\) | 5.45415 | + | 1.77216i | 0.647288 | + | 0.210317i | 0.614218 | − | 0.789136i | \(-0.289471\pi\) |
0.0330703 | + | 0.999453i | \(0.489471\pi\) | |||||||
\(72\) | −6.21766 | + | 5.62128i | −0.732759 | + | 0.662475i | ||||
\(73\) | −0.0187149 | − | 0.00296414i | −0.00219041 | − | 0.000346927i | 0.155339 | − | 0.987861i | \(-0.450353\pi\) |
−0.157530 | + | 0.987514i | \(0.550353\pi\) | |||||||
\(74\) | −6.16431 | + | 0.543507i | −0.716586 | + | 0.0631814i | ||||
\(75\) | 0.571521 | − | 0.765590i | 0.0659935 | − | 0.0884027i | ||||
\(76\) | −1.75588 | − | 9.87994i | −0.201413 | − | 1.13331i | ||||
\(77\) | −2.13843 | + | 13.5015i | −0.243697 | + | 1.53864i | ||||
\(78\) | 0.634505 | − | 0.397079i | 0.0718435 | − | 0.0449604i | ||||
\(79\) | −2.08434 | + | 6.41493i | −0.234506 | + | 0.721736i | 0.762680 | + | 0.646776i | \(0.223883\pi\) |
−0.997187 | + | 0.0749601i | \(0.976117\pi\) | |||||||
\(80\) | −6.61713 | + | 6.01777i | −0.739818 | + | 0.672807i | ||||
\(81\) | −2.68002 | − | 8.24826i | −0.297780 | − | 0.916474i | ||||
\(82\) | −3.40864 | − | 2.85627i | −0.376422 | − | 0.315422i | ||||
\(83\) | −2.99552 | − | 1.52629i | −0.328801 | − | 0.167532i | 0.281795 | − | 0.959475i | \(-0.409070\pi\) |
−0.610596 | + | 0.791942i | \(0.709070\pi\) | |||||||
\(84\) | −0.447539 | + | 0.920749i | −0.0488305 | + | 0.100462i | ||||
\(85\) | 8.95160 | − | 5.40616i | 0.970938 | − | 0.586381i | ||||
\(86\) | −4.05504 | + | 3.52981i | −0.437266 | + | 0.380629i | ||||
\(87\) | −0.00665810 | − | 0.0420376i | −0.000713823 | − | 0.00450690i | ||||
\(88\) | −5.89710 | − | 13.1731i | −0.628633 | − | 1.40426i | ||||
\(89\) | −0.509284 | − | 0.700969i | −0.0539840 | − | 0.0743026i | 0.781172 | − | 0.624316i | \(-0.214622\pi\) |
−0.835156 | + | 0.550014i | \(0.814622\pi\) | |||||||
\(90\) | −2.92202 | − | 8.90419i | −0.308008 | − | 0.938584i | ||||
\(91\) | −4.36162 | + | 6.00326i | −0.457222 | + | 0.629313i | ||||
\(92\) | 2.60470 | − | 8.56098i | 0.271559 | − | 0.892544i | ||||
\(93\) | −0.997185 | − | 0.997185i | −0.103403 | − | 0.103403i | ||||
\(94\) | −11.4616 | + | 4.87429i | −1.18217 | + | 0.502745i | ||||
\(95\) | 10.8920 | + | 2.68963i | 1.11750 | + | 0.275950i | ||||
\(96\) | −0.135354 | − | 1.07239i | −0.0138145 | − | 0.109450i | ||||
\(97\) | −5.07638 | − | 9.96296i | −0.515428 | − | 1.01158i | −0.991244 | − | 0.132040i | \(-0.957847\pi\) |
0.475816 | − | 0.879545i | \(-0.342153\pi\) | |||||||
\(98\) | 0.0172424 | − | 0.248997i | 0.00174175 | − | 0.0251525i | ||||
\(99\) | 15.1221 | 1.51982 | ||||||||
\(100\) | −3.14585 | − | 9.49229i | −0.314585 | − | 0.949229i | ||||
\(101\) | −11.8084 | −1.17498 | −0.587489 | − | 0.809232i | \(-0.699884\pi\) | ||||
−0.587489 | + | 0.809232i | \(0.699884\pi\) | |||||||
\(102\) | −0.0873030 | + | 1.26074i | −0.00864429 | + | 0.124832i | ||||
\(103\) | 0.880821 | + | 1.72871i | 0.0867899 | + | 0.170335i | 0.930322 | − | 0.366744i | \(-0.119528\pi\) |
−0.843532 | + | 0.537079i | \(0.819528\pi\) | |||||||
\(104\) | 0.394164 | − | 7.82471i | 0.0386509 | − | 0.767276i | ||||
\(105\) | −0.737703 | − | 0.875147i | −0.0719925 | − | 0.0854056i | ||||
\(106\) | −2.39971 | + | 1.02053i | −0.233081 | + | 0.0991230i | ||||
\(107\) | 8.09772 | + | 8.09772i | 0.782836 | + | 0.782836i | 0.980308 | − | 0.197472i | \(-0.0632733\pi\) |
−0.197472 | + | 0.980308i | \(0.563273\pi\) | |||||||
\(108\) | 2.18029 | + | 0.663361i | 0.209799 | + | 0.0638319i | ||||
\(109\) | −9.13259 | + | 12.5699i | −0.874743 | + | 1.20398i | 0.103106 | + | 0.994670i | \(0.467122\pi\) |
−0.977849 | + | 0.209310i | \(0.932878\pi\) | |||||||
\(110\) | 16.1364 | − | 0.0472801i | 1.53854 | − | 0.00450798i | ||||
\(111\) | 0.491450 | + | 0.676422i | 0.0466463 | + | 0.0642032i | ||||
\(112\) | 5.22035 | + | 9.35798i | 0.493276 | + | 0.884246i | ||||
\(113\) | −1.26860 | − | 8.00964i | −0.119340 | − | 0.753483i | −0.972684 | − | 0.232135i | \(-0.925429\pi\) |
0.853344 | − | 0.521349i | \(-0.174571\pi\) | |||||||
\(114\) | −1.02265 | + | 0.890188i | −0.0957796 | + | 0.0833737i | ||||
\(115\) | 7.56540 | + | 6.54662i | 0.705477 | + | 0.610476i | ||||
\(116\) | −0.400668 | − | 0.194749i | −0.0372011 | − | 0.0180820i | ||||
\(117\) | 7.31405 | + | 3.72669i | 0.676184 | + | 0.344533i | ||||
\(118\) | 9.82552 | + | 8.23328i | 0.904513 | + | 0.757935i | ||||
\(119\) | −3.87149 | − | 11.9152i | −0.354899 | − | 1.09227i | ||||
\(120\) | 1.15718 | + | 0.348373i | 0.105635 | + | 0.0318020i | ||||
\(121\) | −4.64713 | + | 14.3024i | −0.422467 | + | 1.30022i | ||||
\(122\) | −1.72446 | + | 1.07918i | −0.156125 | + | 0.0977047i | ||||
\(123\) | −0.0939957 | + | 0.593466i | −0.00847531 | + | 0.0535110i | ||||
\(124\) | −14.5331 | + | 2.58285i | −1.30511 | + | 0.231947i | ||||
\(125\) | 11.1267 | + | 1.09345i | 0.995206 | + | 0.0978013i | ||||
\(126\) | −11.1839 | + | 0.986083i | −0.996340 | + | 0.0878472i | ||||
\(127\) | −15.8543 | − | 2.51108i | −1.40684 | − | 0.222822i | −0.593608 | − | 0.804755i | \(-0.702297\pi\) |
−0.813237 | + | 0.581932i | \(0.802297\pi\) | |||||||
\(128\) | −10.0144 | − | 5.26413i | −0.885159 | − | 0.465288i | ||||
\(129\) | 0.690830 | + | 0.224464i | 0.0608242 | + | 0.0197630i | ||||
\(130\) | 7.81629 | + | 3.95379i | 0.685534 | + | 0.346771i | ||||
\(131\) | 12.9418 | − | 4.20505i | 1.13073 | − | 0.367397i | 0.316878 | − | 0.948466i | \(-0.397365\pi\) |
0.813854 | + | 0.581069i | \(0.197365\pi\) | |||||||
\(132\) | −1.11634 | + | 1.59890i | −0.0971653 | + | 0.139167i | ||||
\(133\) | 6.10210 | − | 11.9761i | 0.529119 | − | 1.03846i | ||||
\(134\) | 2.46038 | − | 4.10104i | 0.212545 | − | 0.354276i | ||||
\(135\) | −1.66728 | + | 1.92674i | −0.143497 | + | 0.165828i | ||||
\(136\) | 10.2967 | + | 8.30361i | 0.882937 | + | 0.712028i | ||||
\(137\) | 18.6626 | − | 2.95587i | 1.59445 | − | 0.252537i | 0.704880 | − | 0.709327i | \(-0.251001\pi\) |
0.889575 | + | 0.456790i | \(0.151001\pi\) | |||||||
\(138\) | −1.17293 | + | 0.293287i | −0.0998467 | + | 0.0249663i | ||||
\(139\) | −5.89560 | + | 4.28340i | −0.500058 | + | 0.363313i | −0.809039 | − | 0.587755i | \(-0.800012\pi\) |
0.308981 | + | 0.951068i | \(0.400012\pi\) | |||||||
\(140\) | −11.9310 | + | 1.08719i | −1.00835 | + | 0.0918844i | ||||
\(141\) | 1.36143 | + | 0.989135i | 0.114653 | + | 0.0833002i | ||||
\(142\) | −7.52177 | − | 3.03308i | −0.631213 | − | 0.254530i | ||||
\(143\) | −9.99461 | + | 9.99461i | −0.835792 | + | 0.835792i | ||||
\(144\) | 9.32128 | − | 7.32326i | 0.776773 | − | 0.610272i | ||||
\(145\) | 0.380824 | − | 0.321015i | 0.0316257 | − | 0.0266588i | ||||
\(146\) | 0.0261140 | + | 0.00601030i | 0.00216121 | + | 0.000497416i | ||||
\(147\) | −0.0300475 | + | 0.0153100i | −0.00247828 | + | 0.00126274i | ||||
\(148\) | 8.74992 | − | 0.164565i | 0.719239 | − | 0.0135272i | ||||
\(149\) | 2.12851i | 0.174375i | 0.996192 | + | 0.0871873i | \(0.0277879\pi\) | ||||
−0.996192 | + | 0.0871873i | \(0.972212\pi\) | |||||||
\(150\) | −0.881117 | + | 1.02429i | −0.0719429 | + | 0.0836326i | ||||
\(151\) | − | 6.10369i | − | 0.496712i | −0.968669 | − | 0.248356i | \(-0.920110\pi\) | ||
0.968669 | − | 0.248356i | \(-0.0798902\pi\) | |||||||
\(152\) | 1.51202 | + | 14.1105i | 0.122641 | + | 1.14451i | ||||
\(153\) | −12.3488 | + | 6.29202i | −0.998340 | + | 0.508680i | ||||
\(154\) | 4.33603 | − | 18.8395i | 0.349408 | − | 1.51813i | ||||
\(155\) | 3.95637 | − | 16.0219i | 0.317783 | − | 1.28691i | ||||
\(156\) | −0.933975 | + | 0.498224i | −0.0747778 | + | 0.0398899i | ||||
\(157\) | −11.4802 | + | 11.4802i | −0.916218 | + | 0.916218i | −0.996752 | − | 0.0805335i | \(-0.974338\pi\) |
0.0805335 | + | 0.996752i | \(0.474338\pi\) | |||||||
\(158\) | 3.56737 | − | 8.84677i | 0.283805 | − | 0.703811i | ||||
\(159\) | 0.285043 | + | 0.207096i | 0.0226054 | + | 0.0164238i | ||||
\(160\) | 9.92360 | − | 7.84361i | 0.784529 | − | 0.620092i | ||||
\(161\) | 9.69687 | − | 7.04519i | 0.764221 | − | 0.555239i | ||||
\(162\) | 2.97524 | + | 11.8988i | 0.233757 | + | 0.934856i | ||||
\(163\) | −7.81379 | + | 1.23758i | −0.612023 | + | 0.0969349i | −0.454748 | − | 0.890620i | \(-0.650271\pi\) |
−0.157275 | + | 0.987555i | \(0.550271\pi\) | |||||||
\(164\) | 4.52998 | + | 4.36273i | 0.353732 | + | 0.340672i | ||||
\(165\) | −1.12711 | − | 1.86628i | −0.0877454 | − | 0.145290i | ||||
\(166\) | 4.07707 | + | 2.44600i | 0.316442 | + | 0.189846i | ||||
\(167\) | −6.13600 | + | 12.0426i | −0.474818 | + | 0.931883i | 0.522059 | + | 0.852910i | \(0.325164\pi\) |
−0.996877 | + | 0.0789735i | \(0.974836\pi\) | |||||||
\(168\) | 0.721358 | − | 1.25530i | 0.0556540 | − | 0.0968487i | ||||
\(169\) | 5.06658 | − | 1.64623i | 0.389737 | − | 0.126633i | ||||
\(170\) | −13.1574 | + | 6.75266i | −1.00913 | + | 0.517906i | ||||
\(171\) | −14.1412 | − | 4.59476i | −1.08141 | − | 0.351370i | ||||
\(172\) | 6.06584 | − | 4.58381i | 0.462516 | − | 0.349512i | ||||
\(173\) | 1.08340 | + | 0.171594i | 0.0823695 | + | 0.0130460i | 0.197483 | − | 0.980306i | \(-0.436723\pi\) |
−0.115114 | + | 0.993352i | \(0.536723\pi\) | |||||||
\(174\) | 0.00528654 | + | 0.0599586i | 0.000400772 | + | 0.00454545i | ||||
\(175\) | 4.30368 | − | 12.6843i | 0.325328 | − | 0.958840i | ||||
\(176\) | 7.03287 | + | 19.1613i | 0.530122 | + | 1.44433i | ||||
\(177\) | 0.270946 | − | 1.71068i | 0.0203655 | − | 0.128583i | ||||
\(178\) | 0.650033 | + | 1.03871i | 0.0487220 | + | 0.0778544i | ||||
\(179\) | −7.45601 | + | 22.9472i | −0.557289 | + | 1.71516i | 0.132533 | + | 0.991179i | \(0.457689\pi\) |
−0.689822 | + | 0.723979i | \(0.742311\pi\) | |||||||
\(180\) | 3.25257 | + | 12.8478i | 0.242432 | + | 0.957619i | ||||
\(181\) | −2.15964 | − | 6.64670i | −0.160525 | − | 0.494045i | 0.838154 | − | 0.545434i | \(-0.183635\pi\) |
−0.998679 | + | 0.0513890i | \(0.983635\pi\) | |||||||
\(182\) | 6.74003 | − | 8.04349i | 0.499604 | − | 0.596223i | ||||
\(183\) | 0.244901 | + | 0.124784i | 0.0181036 | + | 0.00922426i | ||||
\(184\) | −4.51119 | + | 11.8237i | −0.332569 | + | 0.871652i | ||||
\(185\) | −3.80277 | + | 9.01522i | −0.279586 | + | 0.662812i | ||||
\(186\) | 1.30944 | + | 1.50429i | 0.0960130 | + | 0.110300i | ||||
\(187\) | −3.73319 | − | 23.5704i | −0.272998 | − | 1.72364i | ||||
\(188\) | 16.6466 | − | 5.75707i | 1.21408 | − | 0.419877i | ||||
\(189\) | 1.79426 | + | 2.46958i | 0.130513 | + | 0.179636i | ||||
\(190\) | −15.1041 | − | 4.85873i | −1.09577 | − | 0.352490i | ||||
\(191\) | 9.26511 | − | 12.7523i | 0.670400 | − | 0.922727i | −0.329369 | − | 0.944201i | \(-0.606836\pi\) |
0.999769 | + | 0.0214746i | \(0.00683611\pi\) | |||||||
\(192\) | 0.0861932 | + | 1.52619i | 0.00622046 | + | 0.110143i | ||||
\(193\) | 6.44920 | + | 6.44920i | 0.464223 | + | 0.464223i | 0.900037 | − | 0.435814i | \(-0.143539\pi\) |
−0.435814 | + | 0.900037i | \(0.643539\pi\) | |||||||
\(194\) | 6.18859 | + | 14.5520i | 0.444315 | + | 1.04478i | ||||
\(195\) | −0.0852176 | − | 1.18043i | −0.00610256 | − | 0.0845321i | ||||
\(196\) | −0.0486524 | + | 0.349609i | −0.00347517 | + | 0.0249721i | ||||
\(197\) | −2.59555 | − | 5.09406i | −0.184925 | − | 0.362936i | 0.779869 | − | 0.625943i | \(-0.215286\pi\) |
−0.964794 | + | 0.263007i | \(0.915286\pi\) | |||||||
\(198\) | −21.3347 | − | 1.47738i | −1.51619 | − | 0.104993i | ||||
\(199\) | 24.6399 | 1.74668 | 0.873338 | − | 0.487115i | \(-0.161951\pi\) | ||||
0.873338 | + | 0.487115i | \(0.161951\pi\) | |||||||
\(200\) | 3.51091 | + | 13.6994i | 0.248259 | + | 0.968694i | ||||
\(201\) | −0.646170 | −0.0455773 | ||||||||
\(202\) | 16.6597 | + | 1.15364i | 1.17217 | + | 0.0811699i | ||||
\(203\) | −0.270901 | − | 0.531674i | −0.0190136 | − | 0.0373162i | ||||
\(204\) | 0.246340 | − | 1.77017i | 0.0172473 | − | 0.123936i | ||||
\(205\) | −6.51359 | + | 2.64875i | −0.454929 | + | 0.184997i | ||||
\(206\) | −1.07380 | − | 2.52498i | −0.0748155 | − | 0.175923i | ||||
\(207\) | −9.37576 | − | 9.37576i | −0.651660 | − | 0.651660i | ||||
\(208\) | −1.32055 | + | 11.0009i | −0.0915636 | + | 0.762773i | ||||
\(209\) | 15.0488 | − | 20.7129i | 1.04095 | − | 1.43274i | ||||
\(210\) | 0.955279 | + | 1.30676i | 0.0659205 | + | 0.0901750i | ||||
\(211\) | −11.6703 | − | 16.0628i | −0.803419 | − | 1.10581i | −0.992306 | − | 0.123813i | \(-0.960488\pi\) |
0.188886 | − | 0.981999i | \(-0.439512\pi\) | |||||||
\(212\) | 3.48530 | − | 1.20536i | 0.239372 | − | 0.0827845i | ||||
\(213\) | 0.171420 | + | 1.08231i | 0.0117455 | + | 0.0741584i | ||||
\(214\) | −10.6334 | − | 12.2157i | −0.726886 | − | 0.835046i | ||||
\(215\) | 1.93084 | + | 8.27822i | 0.131682 | + | 0.564570i | ||||
\(216\) | −3.01123 | − | 1.14890i | −0.204888 | − | 0.0781728i | ||||
\(217\) | −17.6165 | − | 8.97603i | −1.19588 | − | 0.609333i | ||||
\(218\) | 14.1126 | − | 16.8419i | 0.955827 | − | 1.14068i | ||||
\(219\) | −0.00111881 | − | 0.00344336i | −7.56025e−5 | − | 0.000232681i | ||||
\(220\) | −22.7704 | − | 1.50977i | −1.53518 | − | 0.101788i | ||||
\(221\) | 4.00309 | − | 12.3203i | 0.269277 | − | 0.828750i | ||||
\(222\) | −0.627270 | − | 1.00233i | −0.0420996 | − | 0.0672722i | ||||
\(223\) | −1.81060 | + | 11.4317i | −0.121247 | + | 0.765524i | 0.849883 | + | 0.526972i | \(0.176673\pi\) |
−0.971130 | + | 0.238552i | \(0.923327\pi\) | |||||||
\(224\) | −6.45080 | − | 13.7126i | −0.431012 | − | 0.916210i | ||||
\(225\) | −14.6038 | − | 2.50722i | −0.973586 | − | 0.167148i | ||||
\(226\) | 1.00727 | + | 11.4242i | 0.0670028 | + | 0.759928i | ||||
\(227\) | −15.3359 | − | 2.42897i | −1.01788 | − | 0.161216i | −0.374872 | − | 0.927077i | \(-0.622313\pi\) |
−0.643007 | + | 0.765861i | \(0.722313\pi\) | |||||||
\(228\) | 1.52975 | − | 1.15600i | 0.101310 | − | 0.0765579i | ||||
\(229\) | −16.0312 | − | 5.20884i | −1.05937 | − | 0.344210i | −0.273030 | − | 0.962006i | \(-0.588026\pi\) |
−0.786339 | + | 0.617796i | \(0.788026\pi\) | |||||||
\(230\) | −10.0339 | − | 9.97532i | −0.661619 | − | 0.657753i | ||||
\(231\) | −2.48416 | + | 0.807152i | −0.163446 | + | 0.0531067i | ||||
\(232\) | 0.546250 | + | 0.313902i | 0.0358631 | + | 0.0206087i | ||||
\(233\) | −13.2595 | + | 26.0233i | −0.868660 | + | 1.70484i | −0.174963 | + | 0.984575i | \(0.555981\pi\) |
−0.693697 | + | 0.720267i | \(0.744019\pi\) | |||||||
\(234\) | −9.95483 | − | 5.97231i | −0.650768 | − | 0.390422i | ||||
\(235\) | −1.67214 | + | 19.6219i | −0.109078 | + | 1.27999i | ||||
\(236\) | −13.0578 | − | 12.5757i | −0.849992 | − | 0.818610i | ||||
\(237\) | −1.27296 | + | 0.201617i | −0.0826876 | + | 0.0130964i | ||||
\(238\) | 4.29796 | + | 17.1886i | 0.278595 | + | 1.11417i | ||||
\(239\) | 0.369981 | − | 0.268807i | 0.0239321 | − | 0.0173877i | −0.575755 | − | 0.817622i | \(-0.695292\pi\) |
0.599687 | + | 0.800235i | \(0.295292\pi\) | |||||||
\(240\) | −1.59855 | − | 0.604550i | −0.103186 | − | 0.0390235i | ||||
\(241\) | 17.6697 | + | 12.8378i | 1.13820 | + | 0.826953i | 0.986868 | − | 0.161530i | \(-0.0516429\pi\) |
0.151335 | + | 0.988483i | \(0.451643\pi\) | |||||||
\(242\) | 7.95364 | − | 19.7243i | 0.511279 | − | 1.26793i | ||||
\(243\) | 3.58901 | − | 3.58901i | 0.230235 | − | 0.230235i | ||||
\(244\) | 2.53836 | − | 1.35408i | 0.162502 | − | 0.0866858i | ||||
\(245\) | −0.335146 | − | 0.208373i | −0.0214117 | − | 0.0133125i | ||||
\(246\) | 0.190592 | − | 0.828099i | 0.0121517 | − | 0.0527977i | ||||
\(247\) | 12.3832 | − | 6.30953i | 0.787921 | − | 0.401466i | ||||
\(248\) | 20.7562 | − | 2.22413i | 1.31802 | − | 0.141233i | ||||
\(249\) | − | 0.642393i | − | 0.0407100i | ||||||
\(250\) | −15.5912 | − | 2.62973i | −0.986072 | − | 0.166318i | ||||
\(251\) | 5.42259i | 0.342271i | 0.985248 | + | 0.171135i | \(0.0547436\pi\) | ||||
−0.985248 | + | 0.171135i | \(0.945256\pi\) | |||||||
\(252\) | 15.8750 | − | 0.298570i | 1.00003 | − | 0.0188082i | ||||
\(253\) | 20.3426 | − | 10.3651i | 1.27893 | − | 0.651647i | ||||
\(254\) | 22.1225 | + | 5.09164i | 1.38809 | + | 0.319478i | ||||
\(255\) | 1.69693 | + | 1.05505i | 0.106266 | + | 0.0660699i | ||||
\(256\) | 13.6144 | + | 8.40520i | 0.850902 | + | 0.525325i | ||||
\(257\) | 8.02192 | − | 8.02192i | 0.500394 | − | 0.500394i | −0.411166 | − | 0.911560i | \(-0.634879\pi\) |
0.911560 | + | 0.411166i | \(0.134879\pi\) | |||||||
\(258\) | −0.952717 | − | 0.384174i | −0.0593136 | − | 0.0239176i | ||||
\(259\) | 9.48341 | + | 6.89010i | 0.589271 | + | 0.428130i | ||||
\(260\) | −10.6412 | − | 6.34177i | −0.659940 | − | 0.393300i | ||||
\(261\) | −0.534035 | + | 0.387999i | −0.0330559 | + | 0.0240165i | ||||
\(262\) | −18.6696 | + | 4.66826i | −1.15341 | + | 0.288406i | ||||
\(263\) | −19.6441 | + | 3.11132i | −1.21131 | + | 0.191852i | −0.729224 | − | 0.684275i | \(-0.760119\pi\) |
−0.482081 | + | 0.876127i | \(0.660119\pi\) | |||||||
\(264\) | 1.73119 | − | 2.14672i | 0.106547 | − | 0.132122i | ||||
\(265\) | −0.350096 | + | 4.10825i | −0.0215063 | + | 0.252368i | ||||
\(266\) | −9.77908 | + | 16.3001i | −0.599594 | + | 0.999422i | ||||
\(267\) | 0.0751618 | − | 0.147513i | 0.00459983 | − | 0.00902767i | ||||
\(268\) | −3.87185 | + | 5.54552i | −0.236511 | + | 0.338747i | ||||
\(269\) | −9.63789 | + | 3.13154i | −0.587633 | + | 0.190933i | −0.587717 | − | 0.809067i | \(-0.699973\pi\) |
8.44003e−5 | 1.00000i | \(0.499973\pi\) | ||||||||
\(270\) | 2.54050 | − | 2.55543i | 0.154610 | − | 0.155518i | ||||
\(271\) | 1.79674 | + | 0.583795i | 0.109144 | + | 0.0354630i | 0.363080 | − | 0.931758i | \(-0.381725\pi\) |
−0.253936 | + | 0.967221i | \(0.581725\pi\) | |||||||
\(272\) | −13.7158 | − | 12.7210i | −0.831640 | − | 0.771322i | ||||
\(273\) | −1.40042 | − | 0.221805i | −0.0847574 | − | 0.0134243i | ||||
\(274\) | −26.6186 | + | 2.34696i | −1.60809 | + | 0.141785i | ||||
\(275\) | 11.8764 | − | 22.5812i | 0.716173 | − | 1.36170i | ||||
\(276\) | 1.68347 | − | 0.299188i | 0.101333 | − | 0.0180090i | ||||
\(277\) | 1.79116 | − | 11.3089i | 0.107620 | − | 0.679488i | −0.873607 | − | 0.486632i | \(-0.838225\pi\) |
0.981227 | − | 0.192855i | \(-0.0617748\pi\) | |||||||
\(278\) | 8.73619 | − | 5.46719i | 0.523962 | − | 0.327900i | ||||
\(279\) | −6.75877 | + | 20.8013i | −0.404637 | + | 1.24534i | ||||
\(280\) | 16.9388 | − | 0.368231i | 1.01229 | − | 0.0220060i | ||||
\(281\) | 7.15917 | + | 22.0337i | 0.427080 | + | 1.31442i | 0.900988 | + | 0.433844i | \(0.142843\pi\) |
−0.473908 | + | 0.880574i | \(0.657157\pi\) | |||||||
\(282\) | −1.82411 | − | 1.52851i | −0.108624 | − | 0.0910217i | ||||
\(283\) | 16.9779 | + | 8.65065i | 1.00923 | + | 0.514228i | 0.878780 | − | 0.477227i | \(-0.158358\pi\) |
0.130449 | + | 0.991455i | \(0.458358\pi\) | |||||||
\(284\) | 10.3157 | + | 5.01403i | 0.612121 | + | 0.297528i | ||||
\(285\) | 0.486942 | + | 2.08770i | 0.0288440 | + | 0.123665i | ||||
\(286\) | 15.0772 | − | 13.1243i | 0.891533 | − | 0.776057i | ||||
\(287\) | 1.31782 | + | 8.32036i | 0.0777882 | + | 0.491135i | ||||
\(288\) | −13.8662 | + | 9.42125i | −0.817076 | + | 0.555153i | ||||
\(289\) | 2.86343 | + | 3.94118i | 0.168437 | + | 0.231834i | ||||
\(290\) | −0.568642 | + | 0.415694i | −0.0333918 | + | 0.0244104i | ||||
\(291\) | 1.25584 | − | 1.72852i | 0.0736188 | − | 0.101328i | ||||
\(292\) | −0.0362553 | − | 0.0110308i | −0.00212168 | − | 0.000645528i | ||||
\(293\) | −9.23047 | − | 9.23047i | −0.539250 | − | 0.539250i | 0.384059 | − | 0.923309i | \(-0.374526\pi\) |
−0.923309 | + | 0.384059i | \(0.874526\pi\) | |||||||
\(294\) | 0.0438878 | − | 0.0186643i | 0.00255959 | − | 0.00108852i | ||||
\(295\) | 18.7756 | − | 7.63512i | 1.09316 | − | 0.444534i | ||||
\(296\) | −12.3608 | − | 0.622665i | −0.718455 | − | 0.0361916i | ||||
\(297\) | 2.63976 | + | 5.18082i | 0.153174 | + | 0.300621i | ||||
\(298\) | 0.207949 | − | 3.00298i | 0.0120462 | − | 0.173958i | ||||
\(299\) | 12.3934 | 0.716731 | ||||||||
\(300\) | 1.34318 | − | 1.35902i | 0.0775486 | − | 0.0784628i | ||||
\(301\) | 10.1838 | 0.586986 | ||||||||
\(302\) | −0.596311 | + | 8.61130i | −0.0343138 | + | 0.495525i | ||||
\(303\) | −1.02435 | − | 2.01039i | −0.0588472 | − | 0.115494i | ||||
\(304\) | −0.754653 | − | 20.0553i | −0.0432823 | − | 1.15025i | ||||
\(305\) | 0.231605 | + | 3.20817i | 0.0132616 | + | 0.183699i | ||||
\(306\) | 18.0368 | − | 7.67056i | 1.03110 | − | 0.438497i | ||||
\(307\) | 9.17187 | + | 9.17187i | 0.523466 | + | 0.523466i | 0.918616 | − | 0.395150i | \(-0.129308\pi\) |
−0.395150 | + | 0.918616i | \(0.629308\pi\) | |||||||
\(308\) | −7.95799 | + | 26.1559i | −0.453449 | + | 1.49037i | ||||
\(309\) | −0.217906 | + | 0.299922i | −0.0123962 | + | 0.0170619i | ||||
\(310\) | −7.14707 | + | 22.2177i | −0.405926 | + | 1.26188i | ||||
\(311\) | 2.44643 | + | 3.36722i | 0.138724 | + | 0.190938i | 0.872726 | − | 0.488209i | \(-0.162350\pi\) |
−0.734002 | + | 0.679147i | \(0.762350\pi\) | |||||||
\(312\) | 1.36636 | − | 0.611666i | 0.0773548 | − | 0.0346288i | ||||
\(313\) | 3.50477 | + | 22.1282i | 0.198101 | + | 1.25076i | 0.863529 | + | 0.504300i | \(0.168249\pi\) |
−0.665427 | + | 0.746462i | \(0.731751\pi\) | |||||||
\(314\) | 17.3182 | − | 15.0751i | 0.977324 | − | 0.850735i | ||||
\(315\) | −6.89936 | + | 16.3563i | −0.388735 | + | 0.921572i | ||||
\(316\) | −5.89727 | + | 12.1328i | −0.331748 | + | 0.682524i | ||||
\(317\) | 5.61291 | + | 2.85992i | 0.315252 | + | 0.160629i | 0.604456 | − | 0.796639i | \(-0.293391\pi\) |
−0.289204 | + | 0.957268i | \(0.593391\pi\) | |||||||
\(318\) | −0.381916 | − | 0.320026i | −0.0214168 | − | 0.0179462i | ||||
\(319\) | −0.351235 | − | 1.08099i | −0.0196654 | − | 0.0605239i | ||||
\(320\) | −14.7669 | + | 10.0965i | −0.825492 | + | 0.564413i | ||||
\(321\) | −0.676191 | + | 2.08110i | −0.0377413 | + | 0.116156i | ||||
\(322\) | −14.3690 | + | 8.99225i | −0.800752 | + | 0.501118i | ||||
\(323\) | −3.67070 | + | 23.1759i | −0.204243 | + | 1.28954i | ||||
\(324\) | −3.03510 | − | 17.0779i | −0.168617 | − | 0.948771i | ||||
\(325\) | 11.3092 | − | 7.99498i | 0.627320 | − | 0.443482i | ||||
\(326\) | 11.1449 | − | 0.982643i | 0.617257 | − | 0.0544235i | ||||
\(327\) | −2.93227 | − | 0.464426i | −0.162155 | − | 0.0256828i | ||||
\(328\) | −5.96484 | − | 6.59766i | −0.329353 | − | 0.364295i | ||||
\(329\) | 22.4383 | + | 7.29065i | 1.23706 | + | 0.401946i | ||||
\(330\) | 1.40784 | + | 2.74313i | 0.0774988 | + | 0.151005i | ||||
\(331\) | 15.4106 | − | 5.00720i | 0.847042 | − | 0.275221i | 0.146835 | − | 0.989161i | \(-0.453091\pi\) |
0.700206 | + | 0.713940i | \(0.253091\pi\) | |||||||
\(332\) | −5.51311 | − | 3.84922i | −0.302571 | − | 0.211253i | ||||
\(333\) | 5.88710 | − | 11.5541i | 0.322611 | − | 0.633159i | ||||
\(334\) | 9.83341 | − | 16.3906i | 0.538060 | − | 0.896855i | ||||
\(335\) | −3.90919 | − | 6.47289i | −0.213582 | − | 0.353652i | ||||
\(336\) | −1.14036 | + | 1.70055i | −0.0622116 | + | 0.0927726i | ||||
\(337\) | −19.9748 | + | 3.16369i | −1.08809 | + | 0.172337i | −0.674610 | − | 0.738174i | \(-0.735688\pi\) |
−0.413484 | + | 0.910511i | \(0.635688\pi\) | |||||||
\(338\) | −7.30894 | + | 1.82757i | −0.397554 | + | 0.0994069i | ||||
\(339\) | 1.25360 | − | 0.910796i | 0.0680864 | − | 0.0494676i | ||||
\(340\) | 19.2226 | − | 8.24146i | 1.04249 | − | 0.446956i | ||||
\(341\) | −30.4682 | − | 22.1364i | −1.64995 | − | 1.19876i | ||||
\(342\) | 19.5020 | + | 7.86399i | 1.05455 | + | 0.425236i | ||||
\(343\) | 12.9255 | − | 12.9255i | 0.697914 | − | 0.697914i | ||||
\(344\) | −9.00572 | + | 5.87439i | −0.485556 | + | 0.316726i | ||||
\(345\) | −0.458292 | + | 1.85592i | −0.0246736 | + | 0.0999194i | ||||
\(346\) | −1.51174 | − | 0.347935i | −0.0812714 | − | 0.0187051i | ||||
\(347\) | −5.16571 | + | 2.63206i | −0.277310 | + | 0.141296i | −0.587115 | − | 0.809504i | \(-0.699736\pi\) |
0.309805 | + | 0.950800i | \(0.399736\pi\) | |||||||
\(348\) | −0.00160068 | − | 0.0851081i | −8.58056e−5 | − | 0.00456227i | ||||
\(349\) | 0.0528810i | 0.00283065i | 0.999999 | + | 0.00141533i | \(0.000450513\pi\) | ||||
−0.999999 | + | 0.00141533i | \(0.999549\pi\) | |||||||
\(350\) | −7.31100 | + | 17.4749i | −0.390789 | + | 0.934075i | ||||
\(351\) | 3.15634i | 0.168473i | ||||||||
\(352\) | −8.05022 | − | 27.7205i | −0.429078 | − | 1.47751i | ||||
\(353\) | −3.66865 | + | 1.86927i | −0.195263 | + | 0.0994913i | −0.548888 | − | 0.835896i | \(-0.684949\pi\) |
0.353626 | + | 0.935387i | \(0.384949\pi\) | |||||||
\(354\) | −0.549388 | + | 2.38702i | −0.0291996 | + | 0.126869i | ||||
\(355\) | −9.80475 | + | 8.26489i | −0.520382 | + | 0.438655i | ||||
\(356\) | −0.815611 | − | 1.52895i | −0.0432273 | − | 0.0810342i | ||||
\(357\) | 1.69274 | − | 1.69274i | 0.0895893 | − | 0.0895893i | ||||
\(358\) | 12.7611 | − | 31.6463i | 0.674444 | − | 1.67256i | ||||
\(359\) | −22.3556 | − | 16.2423i | −1.17989 | − | 0.857237i | −0.187726 | − | 0.982221i | \(-0.560112\pi\) |
−0.992159 | + | 0.124985i | \(0.960112\pi\) | |||||||
\(360\) | −3.33365 | − | 18.4439i | −0.175699 | − | 0.972079i | ||||
\(361\) | −4.99493 | + | 3.62903i | −0.262891 | + | 0.191002i | ||||
\(362\) | 2.39754 | + | 9.58838i | 0.126012 | + | 0.503954i | ||||
\(363\) | −2.83813 | + | 0.449515i | −0.148963 | + | 0.0235934i | ||||
\(364\) | −10.2949 | + | 10.6896i | −0.539599 | + | 0.560285i | ||||
\(365\) | 0.0277246 | − | 0.0320391i | 0.00145117 | − | 0.00167700i | ||||
\(366\) | −0.333325 | − | 0.199975i | −0.0174232 | − | 0.0104529i | ||||
\(367\) | −3.08204 | + | 6.04885i | −0.160881 | + | 0.315747i | −0.957349 | − | 0.288934i | \(-0.906699\pi\) |
0.796468 | + | 0.604681i | \(0.206699\pi\) | |||||||
\(368\) | 7.51967 | − | 16.2405i | 0.391990 | − | 0.846595i | ||||
\(369\) | 8.86290 | − | 2.87973i | 0.461384 | − | 0.149913i | ||||
\(370\) | 6.24584 | − | 12.3475i | 0.324706 | − | 0.641914i | ||||
\(371\) | 4.69792 | + | 1.52645i | 0.243904 | + | 0.0792492i | ||||
\(372\) | −1.70044 | − | 2.25023i | −0.0881639 | − | 0.116669i | ||||
\(373\) | −11.3458 | − | 1.79701i | −0.587466 | − | 0.0930454i | −0.144376 | − | 0.989523i | \(-0.546118\pi\) |
−0.443089 | + | 0.896477i | \(0.646118\pi\) | |||||||
\(374\) | 2.96416 | + | 33.6187i | 0.153273 | + | 1.73838i | ||||
\(375\) | 0.779054 | + | 1.98920i | 0.0402302 | + | 0.102722i | ||||
\(376\) | −24.0480 | + | 6.49595i | −1.24018 | + | 0.335003i | ||||
\(377\) | 0.0965194 | − | 0.609399i | 0.00497100 | − | 0.0313857i | ||||
\(378\) | −2.29013 | − | 3.65947i | −0.117792 | − | 0.188223i | ||||
\(379\) | 3.95657 | − | 12.1771i | 0.203235 | − | 0.625494i | −0.796546 | − | 0.604578i | \(-0.793342\pi\) |
0.999781 | − | 0.0209157i | \(-0.00665816\pi\) | |||||||
\(380\) | 20.8347 | + | 8.33049i | 1.06880 | + | 0.427345i | ||||
\(381\) | −0.947807 | − | 2.91705i | −0.0485576 | − | 0.149445i | ||||
\(382\) | −14.3174 | + | 17.0863i | −0.732542 | + | 0.874210i | ||||
\(383\) | −16.4227 | − | 8.36780i | −0.839163 | − | 0.427575i | −0.0190788 | − | 0.999818i | \(-0.506073\pi\) |
−0.820084 | + | 0.572243i | \(0.806073\pi\) | |||||||
\(384\) | 0.0274992 | − | 2.16162i | 0.00140331 | − | 0.110310i | ||||
\(385\) | −23.1141 | − | 20.0015i | −1.17800 | − | 1.01937i | ||||
\(386\) | −8.46869 | − | 9.72882i | −0.431045 | − | 0.495184i | ||||
\(387\) | −1.76235 | − | 11.1270i | −0.0895851 | − | 0.565618i | ||||
\(388\) | −7.30939 | − | 21.1351i | −0.371078 | − | 1.07297i | ||||
\(389\) | −14.6199 | − | 20.1226i | −0.741258 | − | 1.02025i | −0.998545 | − | 0.0539190i | \(-0.982829\pi\) |
0.257287 | − | 0.966335i | \(-0.417171\pi\) | |||||||
\(390\) | 0.00490404 | + | 1.67371i | 0.000248326 | + | 0.0847518i | ||||
\(391\) | −12.2992 | + | 16.9284i | −0.621997 | + | 0.856105i | ||||
\(392\) | 0.102796 | − | 0.488488i | 0.00519199 | − | 0.0246724i | ||||
\(393\) | 1.83858 | + | 1.83858i | 0.0927443 | + | 0.0927443i | ||||
\(394\) | 3.16422 | + | 7.44045i | 0.159411 | + | 0.374844i | ||||
\(395\) | −9.72080 | − | 11.5319i | −0.489106 | − | 0.580233i | ||||
\(396\) | 29.9554 | + | 4.16867i | 1.50532 | + | 0.209483i | ||||
\(397\) | 12.6438 | + | 24.8148i | 0.634574 | + | 1.24542i | 0.954566 | + | 0.298001i | \(0.0963199\pi\) |
−0.319992 | + | 0.947420i | \(0.603680\pi\) | |||||||
\(398\) | −34.7628 | − | 2.40724i | −1.74250 | − | 0.120664i | ||||
\(399\) | 2.56828 | 0.128575 | ||||||||
\(400\) | −3.61492 | − | 19.6706i | −0.180746 | − | 0.983530i | ||||
\(401\) | 10.4612 | 0.522406 | 0.261203 | − | 0.965284i | \(-0.415881\pi\) | ||||
0.261203 | + | 0.965284i | \(0.415881\pi\) | |||||||
\(402\) | 0.911639 | + | 0.0631287i | 0.0454684 | + | 0.00314857i | ||||
\(403\) | −9.28115 | − | 18.2153i | −0.462327 | − | 0.907368i | ||||
\(404\) | −23.3914 | − | 3.25520i | −1.16376 | − | 0.161952i | ||||
\(405\) | 18.8273 | + | 4.64913i | 0.935536 | + | 0.231017i | ||||
\(406\) | 0.330254 | + | 0.776571i | 0.0163903 | + | 0.0385405i | ||||
\(407\) | 15.7886 | + | 15.7886i | 0.782611 | + | 0.782611i | ||||
\(408\) | −0.520485 | + | 2.47335i | −0.0257679 | + | 0.122449i | ||||
\(409\) | −9.12365 | + | 12.5576i | −0.451136 | + | 0.620935i | −0.972641 | − | 0.232313i | \(-0.925371\pi\) |
0.521505 | + | 0.853248i | \(0.325371\pi\) | |||||||
\(410\) | 9.44837 | − | 3.10060i | 0.466622 | − | 0.153128i | ||||
\(411\) | 2.12217 | + | 2.92092i | 0.104679 | + | 0.144078i | ||||
\(412\) | 1.26828 | + | 3.66723i | 0.0624836 | + | 0.180672i | ||||
\(413\) | −3.79865 | − | 23.9837i | −0.186919 | − | 1.18016i | ||||
\(414\) | 12.3117 | + | 14.1436i | 0.605086 | + | 0.695122i | ||||
\(415\) | 6.43505 | − | 3.88634i | 0.315884 | − | 0.190773i | ||||
\(416\) | 2.93783 | − | 15.3914i | 0.144039 | − | 0.754625i | ||||
\(417\) | −1.24068 | − | 0.632159i | −0.0607564 | − | 0.0309569i | ||||
\(418\) | −23.2550 | + | 27.7523i | −1.13744 | + | 1.35741i | ||||
\(419\) | −11.1568 | − | 34.3371i | −0.545045 | − | 1.67748i | −0.720883 | − | 0.693056i | \(-0.756264\pi\) |
0.175838 | − | 0.984419i | \(-0.443736\pi\) | |||||||
\(420\) | −1.22007 | − | 1.93695i | −0.0595335 | − | 0.0945135i | ||||
\(421\) | 4.95128 | − | 15.2385i | 0.241311 | − | 0.742678i | −0.754911 | − | 0.655828i | \(-0.772320\pi\) |
0.996221 | − | 0.0868504i | \(-0.0276802\pi\) | |||||||
\(422\) | 14.8956 | + | 23.8022i | 0.725108 | + | 1.15867i | ||||
\(423\) | 4.08285 | − | 25.7781i | 0.198515 | − | 1.25337i | ||||
\(424\) | −5.03495 | + | 1.36006i | −0.244519 | + | 0.0660504i | ||||
\(425\) | −0.302700 | + | 23.3816i | −0.0146831 | + | 1.13417i | ||||
\(426\) | −0.136108 | − | 1.54370i | −0.00659446 | − | 0.0747926i | ||||
\(427\) | 3.80607 | + | 0.602823i | 0.184189 | + | 0.0291726i | ||||
\(428\) | 13.8086 | + | 18.2731i | 0.667463 | + | 0.883266i | ||||
\(429\) | −2.56860 | − | 0.834589i | −0.124013 | − | 0.0402943i | ||||
\(430\) | −1.91534 | − | 11.8678i | −0.0923661 | − | 0.572318i | ||||
\(431\) | −6.40797 | + | 2.08208i | −0.308661 | + | 0.100290i | −0.459252 | − | 0.888306i | \(-0.651882\pi\) |
0.150591 | + | 0.988596i | \(0.451882\pi\) | |||||||
\(432\) | 4.13610 | + | 1.91510i | 0.198998 | + | 0.0921401i | ||||
\(433\) | 4.78847 | − | 9.39790i | 0.230119 | − | 0.451634i | −0.746857 | − | 0.664985i | \(-0.768438\pi\) |
0.976976 | + | 0.213351i | \(0.0684378\pi\) | |||||||
\(434\) | 23.9770 | + | 14.3848i | 1.15093 | + | 0.690491i | ||||
\(435\) | 0.0876886 | + | 0.0369886i | 0.00420435 | + | 0.00177347i | ||||
\(436\) | −21.5560 | + | 22.3823i | −1.03234 | + | 1.07192i | ||||
\(437\) | −22.1725 | + | 3.51178i | −1.06065 | + | 0.167991i | ||||
\(438\) | 0.00124206 | + | 0.00496732i | 5.93478e−5 | + | 0.000237347i | ||||
\(439\) | −8.47207 | + | 6.15532i | −0.404350 | + | 0.293778i | −0.771311 | − | 0.636459i | \(-0.780398\pi\) |
0.366960 | + | 0.930237i | \(0.380398\pi\) | |||||||
\(440\) | 31.9777 | + | 4.35462i | 1.52448 | + | 0.207598i | ||||
\(441\) | 0.423135 | + | 0.307426i | 0.0201493 | + | 0.0146393i | ||||
\(442\) | −6.85136 | + | 16.9908i | −0.325886 | + | 0.808168i | ||||
\(443\) | −3.27124 | + | 3.27124i | −0.155421 | + | 0.155421i | −0.780534 | − | 0.625113i | \(-0.785053\pi\) |
0.625113 | + | 0.780534i | \(0.285053\pi\) | |||||||
\(444\) | 0.787050 | + | 1.47541i | 0.0373517 | + | 0.0700198i | ||||
\(445\) | 1.93240 | − | 0.139504i | 0.0916046 | − | 0.00661314i | ||||
\(446\) | 3.67131 | − | 15.9514i | 0.173841 | − | 0.755319i | ||||
\(447\) | −0.362382 | + | 0.184643i | −0.0171401 | + | 0.00873331i | ||||
\(448\) | 7.76134 | + | 19.9764i | 0.366689 | + | 0.943797i | ||||
\(449\) | 18.0931i | 0.853868i | 0.904283 | + | 0.426934i | \(0.140406\pi\) | ||||
−0.904283 | + | 0.426934i | \(0.859594\pi\) | |||||||
\(450\) | 20.3586 | + | 4.96401i | 0.959713 | + | 0.234006i | ||||
\(451\) | 16.0463i | 0.755589i | ||||||||
\(452\) | −0.304986 | − | 16.2161i | −0.0143453 | − | 0.762741i | ||||
\(453\) | 1.03916 | − | 0.529479i | 0.0488241 | − | 0.0248771i | ||||
\(454\) | 21.3991 | + | 4.92514i | 1.00431 | + | 0.231148i | ||||
\(455\) | −6.25036 | − | 15.3703i | −0.293021 | − | 0.720573i | ||||
\(456\) | −2.27117 | + | 1.48147i | −0.106357 | + | 0.0693762i | ||||
\(457\) | 23.4612 | − | 23.4612i | 1.09747 | − | 1.09747i | 0.102764 | − | 0.994706i | \(-0.467231\pi\) |
0.994706 | − | 0.102764i | \(-0.0327687\pi\) | |||||||
\(458\) | 22.1084 | + | 8.91500i | 1.03306 | + | 0.416571i | ||||
\(459\) | −4.31129 | − | 3.13234i | −0.201234 | − | 0.146205i | ||||
\(460\) | 13.1817 | + | 15.0538i | 0.614599 | + | 0.701888i | ||||
\(461\) | −26.1799 | + | 19.0208i | −1.21932 | + | 0.885887i | −0.996043 | − | 0.0888686i | \(-0.971675\pi\) |
−0.223275 | + | 0.974755i | \(0.571675\pi\) | |||||||
\(462\) | 3.58359 | − | 0.896064i | 0.166724 | − | 0.0416887i | ||||
\(463\) | 30.2882 | − | 4.79718i | 1.40761 | − | 0.222944i | 0.594054 | − | 0.804425i | \(-0.297527\pi\) |
0.813560 | + | 0.581481i | \(0.197527\pi\) | |||||||
\(464\) | −0.740002 | − | 0.496231i | −0.0343537 | − | 0.0230369i | ||||
\(465\) | 3.07095 | − | 0.716279i | 0.142412 | − | 0.0332167i | ||||
\(466\) | 21.2494 | − | 35.4191i | 0.984359 | − | 1.64076i | ||||
\(467\) | −7.07648 | + | 13.8884i | −0.327460 | + | 0.642677i | −0.994774 | − | 0.102100i | \(-0.967444\pi\) |
0.667314 | + | 0.744777i | \(0.267444\pi\) | |||||||
\(468\) | 13.4611 | + | 9.39850i | 0.622242 | + | 0.434446i | ||||
\(469\) | −8.61588 | + | 2.79947i | −0.397844 | + | 0.129268i | ||||
\(470\) | 4.27611 | − | 27.5199i | 0.197242 | − | 1.26940i | ||||
\(471\) | −2.95039 | − | 0.958640i | −0.135947 | − | 0.0441718i | ||||
\(472\) | 17.1938 | + | 19.0180i | 0.791410 | + | 0.875373i | ||||
\(473\) | 19.1594 | + | 3.03456i | 0.880952 | + | 0.139529i | ||||
\(474\) | 1.81563 | − | 0.160084i | 0.0833948 | − | 0.00735291i | ||||
\(475\) | −17.9673 | + | 17.5080i | −0.824394 | + | 0.803322i | ||||
\(476\) | −4.38443 | − | 24.6702i | −0.200960 | − | 1.13076i | ||||
\(477\) | 0.854829 | − | 5.39718i | 0.0391399 | − | 0.247120i | ||||
\(478\) | −0.548244 | + | 0.343096i | −0.0250761 | + | 0.0156929i | ||||
\(479\) | 2.15249 | − | 6.62469i | 0.0983498 | − | 0.302690i | −0.889762 | − | 0.456424i | \(-0.849130\pi\) |
0.988112 | + | 0.153734i | \(0.0491300\pi\) | |||||||
\(480\) | 2.19623 | + | 1.00909i | 0.100244 | + | 0.0460586i | ||||
\(481\) | 3.74547 | + | 11.5274i | 0.170779 | + | 0.525604i | ||||
\(482\) | −23.6748 | − | 19.8382i | −1.07836 | − | 0.903606i | ||||
\(483\) | 2.04063 | + | 1.03975i | 0.0928519 | + | 0.0473104i | ||||
\(484\) | −13.1483 | + | 27.0507i | −0.597649 | + | 1.22958i | ||||
\(485\) | 24.9127 | + | 2.12301i | 1.13123 | + | 0.0964009i | ||||
\(486\) | −5.41414 | + | 4.71287i | −0.245590 | + | 0.213780i | ||||
\(487\) | −3.26215 | − | 20.5964i | −0.147822 | − | 0.933313i | −0.944405 | − | 0.328784i | \(-0.893361\pi\) |
0.796583 | − | 0.604529i | \(-0.206639\pi\) | |||||||
\(488\) | −3.71350 | + | 1.66239i | −0.168102 | + | 0.0752528i | ||||
\(489\) | −0.888525 | − | 1.22295i | −0.0401805 | − | 0.0553037i | ||||
\(490\) | 0.452478 | + | 0.326723i | 0.0204409 | + | 0.0147598i | ||||
\(491\) | 2.89183 | − | 3.98026i | 0.130506 | − | 0.179627i | −0.738763 | − | 0.673965i | \(-0.764590\pi\) |
0.869269 | + | 0.494339i | \(0.164590\pi\) | |||||||
\(492\) | −0.349797 | + | 1.14969i | −0.0157700 | + | 0.0518321i | ||||
\(493\) | 0.736603 | + | 0.736603i | 0.0331749 | + | 0.0331749i | ||||
\(494\) | −18.0870 | + | 7.69191i | −0.813773 | + | 0.346076i | ||||
\(495\) | −17.8540 | + | 28.7162i | −0.802477 | + | 1.29070i | ||||
\(496\) | −29.5008 | + | 1.11007i | −1.32463 | + | 0.0498438i | ||||
\(497\) | 6.97467 | + | 13.6886i | 0.312857 | + | 0.614016i | ||||
\(498\) | −0.0627597 | + | 0.906310i | −0.00281233 | + | 0.0406127i | ||||
\(499\) | −19.8140 | −0.886994 | −0.443497 | − | 0.896276i | \(-0.646262\pi\) | ||||
−0.443497 | + | 0.896276i | \(0.646262\pi\) | |||||||
\(500\) | 21.7397 | + | 5.23332i | 0.972227 | + | 0.234041i | ||||
\(501\) | −2.58255 | −0.115380 | ||||||||
\(502\) | 0.529770 | − | 7.65038i | 0.0236448 | − | 0.341453i | ||||
\(503\) | 12.4717 | + | 24.4770i | 0.556084 | + | 1.09138i | 0.982398 | + | 0.186801i | \(0.0598118\pi\) |
−0.426314 | + | 0.904575i | \(0.640188\pi\) | |||||||
\(504\) | −22.4261 | − | 1.12970i | −0.998939 | − | 0.0503208i | ||||
\(505\) | 13.9417 | − | 22.4237i | 0.620396 | − | 0.997839i | ||||
\(506\) | −29.7127 | + | 12.6360i | −1.32089 | + | 0.561739i | ||||
\(507\) | 0.719785 | + | 0.719785i | 0.0319668 | + | 0.0319668i | ||||
\(508\) | −30.7138 | − | 9.34476i | −1.36270 | − | 0.414607i | ||||
\(509\) | −8.04575 | + | 11.0740i | −0.356622 | + | 0.490847i | −0.949204 | − | 0.314663i | \(-0.898109\pi\) |
0.592582 | + | 0.805510i | \(0.298109\pi\) | |||||||
\(510\) | −2.29102 | − | 1.65429i | −0.101448 | − | 0.0732531i | ||||
\(511\) | −0.0298360 | − | 0.0410658i | −0.00131987 | − | 0.00181664i | ||||
\(512\) | −18.3866 | − | 13.1884i | −0.812578 | − | 0.582852i | ||||
\(513\) | −0.894374 | − | 5.64685i | −0.0394876 | − | 0.249315i | ||||
\(514\) | −12.1013 | + | 10.5339i | −0.533767 | + | 0.464630i | ||||
\(515\) | −4.32270 | − | 0.368371i | −0.190481 | − | 0.0162324i | ||||
\(516\) | 1.30659 | + | 0.635083i | 0.0575196 | + | 0.0279580i | ||||
\(517\) | 40.0420 | + | 20.4024i | 1.76105 | + | 0.897298i | ||||
\(518\) | −12.7064 | − | 10.6473i | −0.558287 | − | 0.467815i | ||||
\(519\) | 0.0647681 | + | 0.199336i | 0.00284300 | + | 0.00874987i | ||||
\(520\) | 14.3934 | + | 9.98681i | 0.631194 | + | 0.437951i | ||||
\(521\) | 1.41202 | − | 4.34576i | 0.0618618 | − | 0.190391i | −0.915349 | − | 0.402661i | \(-0.868085\pi\) |
0.977211 | + | 0.212270i | \(0.0680855\pi\) | |||||||
\(522\) | 0.791341 | − | 0.495229i | 0.0346361 | − | 0.0216756i | ||||
\(523\) | 5.67302 | − | 35.8180i | 0.248064 | − | 1.56621i | −0.477859 | − | 0.878437i | \(-0.658587\pi\) |
0.725923 | − | 0.687776i | \(-0.241413\pi\) | |||||||
\(524\) | 26.7958 | − | 4.76219i | 1.17058 | − | 0.208037i | ||||
\(525\) | 2.53284 | − | 0.367619i | 0.110542 | − | 0.0160442i | ||||
\(526\) | 28.0185 | − | 2.47039i | 1.22167 | − | 0.107714i | ||||
\(527\) | 34.0911 | + | 5.39950i | 1.48503 | + | 0.235206i | ||||
\(528\) | −2.65214 | + | 2.85954i | −0.115420 | + | 0.124446i | ||||
\(529\) | 2.83537 | + | 0.921267i | 0.123277 | + | 0.0400551i | ||||
\(530\) | 0.895291 | − | 5.76186i | 0.0388890 | − | 0.250279i | ||||
\(531\) | −25.5476 | + | 8.30092i | −1.10867 | + | 0.360229i | ||||
\(532\) | 15.3891 | − | 22.0413i | 0.667204 | − | 0.955613i | ||||
\(533\) | −3.95446 | + | 7.76106i | −0.171286 | + | 0.336169i | ||||
\(534\) | −0.120452 | + | 0.200774i | −0.00521249 | + | 0.00868834i | ||||
\(535\) | −24.9379 | + | 5.81660i | −1.07816 | + | 0.251473i | ||||
\(536\) | 6.00433 | − | 7.44555i | 0.259347 | − | 0.321599i | ||||
\(537\) | −4.55359 | + | 0.721217i | −0.196502 | + | 0.0311228i | ||||
\(538\) | 13.9034 | − | 3.47650i | 0.599419 | − | 0.149882i | ||||
\(539\) | −0.728590 | + | 0.529352i | −0.0313826 | + | 0.0228008i | ||||
\(540\) | −3.83388 | + | 3.35709i | −0.164984 | + | 0.144466i | ||||
\(541\) | −23.6895 | − | 17.2114i | −1.01849 | − | 0.739976i | −0.0525174 | − | 0.998620i | \(-0.516724\pi\) |
−0.965973 | + | 0.258644i | \(0.916724\pi\) | |||||||
\(542\) | −2.47786 | − | 0.999174i | −0.106433 | − | 0.0429182i | ||||
\(543\) | 0.944265 | − | 0.944265i | 0.0405223 | − | 0.0405223i | ||||
\(544\) | 18.1079 | + | 19.2872i | 0.776368 | + | 0.826931i | ||||
\(545\) | −13.0873 | − | 32.1832i | −0.560599 | − | 1.37858i | ||||
\(546\) | 1.95409 | + | 0.449747i | 0.0836275 | + | 0.0192474i | ||||
\(547\) | 31.1849 | − | 15.8895i | 1.33337 | − | 0.679385i | 0.365493 | − | 0.930814i | \(-0.380900\pi\) |
0.967876 | + | 0.251429i | \(0.0809003\pi\) | |||||||
\(548\) | 37.7838 | − | 0.710624i | 1.61404 | − | 0.0303563i | ||||
\(549\) | − | 4.26289i | − | 0.181936i | ||||||
\(550\) | −18.9617 | + | 30.6981i | −0.808532 | + | 1.30897i | ||||
\(551\) | 1.11760i | 0.0476112i | ||||||||
\(552\) | −2.40433 | + | 0.257636i | −0.102335 | + | 0.0109657i | ||||
\(553\) | −16.0999 | + | 8.20329i | −0.684636 | + | 0.348839i | ||||
\(554\) | −3.63187 | + | 15.7800i | −0.154304 | + | 0.670430i | ||||
\(555\) | −1.86473 | + | 0.134619i | −0.0791535 | + | 0.00571426i | ||||
\(556\) | −12.8594 | + | 6.85981i | −0.545362 | + | 0.290921i | ||||
\(557\) | −25.1416 | + | 25.1416i | −1.06528 | + | 1.06528i | −0.0675692 | + | 0.997715i | \(0.521524\pi\) |
−0.997715 | + | 0.0675692i | \(0.978476\pi\) | |||||||
\(558\) | 11.5677 | − | 28.6869i | 0.489701 | − | 1.21442i | ||||
\(559\) | 8.51896 | + | 6.18939i | 0.360314 | + | 0.261783i | ||||
\(560\) | −23.9339 | − | 1.13536i | −1.01139 | − | 0.0479775i | ||||
\(561\) | 3.68905 | − | 2.68025i | 0.155752 | − | 0.113160i | ||||
\(562\) | −7.94779 | − | 31.7853i | −0.335257 | − | 1.34078i | ||||
\(563\) | 27.3038 | − | 4.32450i | 1.15072 | − | 0.182256i | 0.448208 | − | 0.893929i | \(-0.352063\pi\) |
0.702510 | + | 0.711674i | \(0.252063\pi\) | |||||||
\(564\) | 2.42419 | + | 2.33469i | 0.102077 | + | 0.0983082i | ||||
\(565\) | 16.7078 | + | 7.04762i | 0.702901 | + | 0.296496i | ||||
\(566\) | −23.1078 | − | 13.8633i | −0.971294 | − | 0.582719i | ||||
\(567\) | 10.5477 | − | 20.7011i | 0.442963 | − | 0.869364i | ||||
\(568\) | −14.0638 | − | 8.08177i | −0.590105 | − | 0.339104i | ||||
\(569\) | 8.77237 | − | 2.85032i | 0.367757 | − | 0.119491i | −0.119308 | − | 0.992857i | \(-0.538068\pi\) |
0.487065 | + | 0.873366i | \(0.338068\pi\) | |||||||
\(570\) | −0.483034 | − | 2.99297i | −0.0202321 | − | 0.125362i | ||||
\(571\) | 17.2235 | + | 5.59625i | 0.720780 | + | 0.234196i | 0.646362 | − | 0.763031i | \(-0.276290\pi\) |
0.0744189 | + | 0.997227i | \(0.476290\pi\) | |||||||
\(572\) | −22.5536 | + | 17.0432i | −0.943015 | + | 0.712614i | ||||
\(573\) | 2.97482 | + | 0.471166i | 0.124275 | + | 0.0196832i | ||||
\(574\) | −1.04635 | − | 11.8674i | −0.0436737 | − | 0.495336i | ||||
\(575\) | −21.3639 | + | 6.63706i | −0.890937 | + | 0.276785i | ||||
\(576\) | 20.4834 | − | 11.9371i | 0.853475 | − | 0.497381i | ||||
\(577\) | 1.72312 | − | 10.8794i | 0.0717345 | − | 0.452914i | −0.925510 | − | 0.378724i | \(-0.876363\pi\) |
0.997244 | − | 0.0741898i | \(-0.0236371\pi\) | |||||||
\(578\) | −3.65479 | − | 5.84010i | −0.152019 | − | 0.242916i | ||||
\(579\) | −0.538533 | + | 1.65743i | −0.0223807 | + | 0.0688806i | ||||
\(580\) | 0.842872 | − | 0.530921i | 0.0349983 | − | 0.0220453i | ||||
\(581\) | −2.78310 | − | 8.56552i | −0.115463 | − | 0.355357i | ||||
\(582\) | −1.94066 | + | 2.31596i | −0.0804429 | + | 0.0959998i | ||||
\(583\) | 8.38362 | + | 4.27167i | 0.347214 | + | 0.176914i | ||||
\(584\) | 0.0500726 | + | 0.0191047i | 0.00207202 | + | 0.000790556i | ||||
\(585\) | −15.7122 | + | 9.48913i | −0.649621 | + | 0.392327i | ||||
\(586\) | 12.1209 | + | 13.9245i | 0.500709 | + | 0.575214i | ||||
\(587\) | 7.33025 | + | 46.2814i | 0.302552 | + | 1.91024i | 0.402825 | + | 0.915277i | \(0.368028\pi\) |
−0.100273 | + | 0.994960i | \(0.531972\pi\) | |||||||
\(588\) | −0.0637419 | + | 0.0220445i | −0.00262867 | + | 0.000909101i | ||||
\(589\) | 21.7659 | + | 29.9582i | 0.896849 | + | 1.23441i | ||||
\(590\) | −27.2353 | + | 8.93758i | −1.12126 | + | 0.367954i | ||||
\(591\) | 0.642112 | − | 0.883792i | 0.0264130 | − | 0.0363543i | ||||
\(592\) | 17.3782 | + | 2.08608i | 0.714239 | + | 0.0857375i | ||||
\(593\) | −11.5238 | − | 11.5238i | −0.473225 | − | 0.473225i | 0.429731 | − | 0.902957i | \(-0.358608\pi\) |
−0.902957 | + | 0.429731i | \(0.858608\pi\) | |||||||
\(594\) | −3.21811 | − | 7.56717i | −0.132041 | − | 0.310485i | ||||
\(595\) | 27.1974 | + | 6.71601i | 1.11499 | + | 0.275329i | ||||
\(596\) | −0.586763 | + | 4.21640i | −0.0240348 | + | 0.172710i | ||||
\(597\) | 2.13745 | + | 4.19497i | 0.0874798 | + | 0.171689i | ||||
\(598\) | −17.4851 | − | 1.21080i | −0.715019 | − | 0.0495132i | ||||
\(599\) | −7.21615 | −0.294844 | −0.147422 | − | 0.989074i | \(-0.547098\pi\) | ||||
−0.147422 | + | 0.989074i | \(0.547098\pi\) | |||||||
\(600\) | −2.02778 | + | 1.78612i | −0.0827837 | + | 0.0729181i | ||||
\(601\) | −15.0642 | −0.614483 | −0.307241 | − | 0.951632i | \(-0.599406\pi\) | ||||
−0.307241 | + | 0.951632i | \(0.599406\pi\) | |||||||
\(602\) | −14.3677 | − | 0.994928i | −0.585584 | − | 0.0405502i | ||||
\(603\) | 4.54975 | + | 8.92939i | 0.185280 | + | 0.363633i | ||||
\(604\) | 1.68259 | − | 12.0909i | 0.0684637 | − | 0.491971i | ||||
\(605\) | −21.6730 | − | 25.7110i | −0.881133 | − | 1.04530i | ||||
\(606\) | 1.24877 | + | 2.93641i | 0.0507280 | + | 0.119283i | ||||
\(607\) | 3.59194 | + | 3.59194i | 0.145792 | + | 0.145792i | 0.776235 | − | 0.630443i | \(-0.217127\pi\) |
−0.630443 | + | 0.776235i | \(0.717127\pi\) | |||||||
\(608\) | −0.894649 | + | 28.3685i | −0.0362828 | + | 1.15049i | ||||
\(609\) | 0.0670182 | − | 0.0922426i | 0.00271571 | − | 0.00373786i | ||||
\(610\) | −0.0133282 | − | 4.54883i | −0.000539644 | − | 0.184177i | ||||
\(611\) | 14.3390 | + | 19.7360i | 0.580095 | + | 0.798433i | ||||
\(612\) | −26.1963 | + | 9.05976i | −1.05892 | + | 0.366219i | ||||
\(613\) | −0.788465 | − | 4.97817i | −0.0318458 | − | 0.201066i | 0.966636 | − | 0.256155i | \(-0.0824558\pi\) |
−0.998481 | + | 0.0550888i | \(0.982456\pi\) | |||||||
\(614\) | −12.0439 | − | 13.8360i | −0.486053 | − | 0.558378i | ||||
\(615\) | −1.01599 | − | 0.879174i | −0.0409687 | − | 0.0354517i | ||||
\(616\) | 13.7828 | − | 36.1241i | 0.555323 | − | 1.45548i | ||||
\(617\) | −16.5627 | − | 8.43913i | −0.666790 | − | 0.339746i | 0.0876162 | − | 0.996154i | \(-0.472075\pi\) |
−0.754406 | + | 0.656408i | \(0.772075\pi\) | |||||||
\(618\) | 0.336731 | − | 0.401851i | 0.0135453 | − | 0.0161648i | ||||
\(619\) | 6.54265 | + | 20.1362i | 0.262971 | + | 0.809343i | 0.992154 | + | 0.125024i | \(0.0399006\pi\) |
−0.729182 | + | 0.684320i | \(0.760099\pi\) | |||||||
\(620\) | 12.2539 | − | 30.6473i | 0.492130 | − | 1.23082i | ||||
\(621\) | 1.57547 | − | 4.84880i | 0.0632215 | − | 0.194576i | ||||
\(622\) | −3.12254 | − | 4.98960i | −0.125203 | − | 0.200065i | ||||
\(623\) | 0.363103 | − | 2.29254i | 0.0145474 | − | 0.0918487i | ||||
\(624\) | −1.98746 | + | 0.729471i | −0.0795623 | + | 0.0292022i | ||||
\(625\) | −15.2133 | + | 19.8382i | −0.608532 | + | 0.793529i | ||||
\(626\) | −2.78279 | − | 31.5617i | −0.111223 | − | 1.26146i | ||||
\(627\) | 4.83185 | + | 0.765290i | 0.192966 | + | 0.0305627i | ||||
\(628\) | −25.9059 | + | 19.5765i | −1.03376 | + | 0.781187i | ||||
\(629\) | −19.4624 | − | 6.32373i | −0.776018 | − | 0.252144i | ||||
\(630\) | 11.3318 | − | 22.4020i | 0.451471 | − | 0.892516i | ||||
\(631\) | −3.22756 | + | 1.04870i | −0.128487 | + | 0.0417480i | −0.372555 | − | 0.928010i | \(-0.621518\pi\) |
0.244068 | + | 0.969758i | \(0.421518\pi\) | |||||||
\(632\) | 9.50542 | − | 16.5413i | 0.378105 | − | 0.657976i | ||||
\(633\) | 1.72235 | − | 3.38030i | 0.0684572 | − | 0.134355i | ||||
\(634\) | −7.63948 | − | 4.58324i | −0.303402 | − | 0.182024i | ||||
\(635\) | 23.4870 | − | 27.1420i | 0.932053 | − | 1.07710i | ||||
\(636\) | 0.507555 | + | 0.488815i | 0.0201259 | + | 0.0193828i | ||||
\(637\) | −0.482849 | + | 0.0764758i | −0.0191312 | + | 0.00303008i | ||||
\(638\) | 0.389926 | + | 1.55942i | 0.0154373 | + | 0.0617378i | ||||
\(639\) | 13.7493 | − | 9.98948i | 0.543915 | − | 0.395178i | ||||
\(640\) | 21.8200 | − | 12.8019i | 0.862511 | − | 0.506038i | ||||
\(641\) | 31.0401 | + | 22.5519i | 1.22601 | + | 0.890748i | 0.996585 | − | 0.0825780i | \(-0.0263153\pi\) |
0.229425 | + | 0.973326i | \(0.426315\pi\) | |||||||
\(642\) | 1.15731 | − | 2.87003i | 0.0456754 | − | 0.113271i | ||||
\(643\) | −6.79295 | + | 6.79295i | −0.267888 | + | 0.267888i | −0.828249 | − | 0.560361i | \(-0.810662\pi\) |
0.560361 | + | 0.828249i | \(0.310662\pi\) | |||||||
\(644\) | 21.1508 | − | 11.2828i | 0.833457 | − | 0.444604i | ||||
\(645\) | −1.24188 | + | 1.04684i | −0.0488991 | + | 0.0412194i | ||||
\(646\) | 7.44296 | − | 32.3388i | 0.292840 | − | 1.27235i | ||||
\(647\) | −30.3148 | + | 15.4461i | −1.19180 | + | 0.607251i | −0.933417 | − | 0.358793i | \(-0.883188\pi\) |
−0.258379 | + | 0.966044i | \(0.583188\pi\) | |||||||
\(648\) | 2.61358 | + | 24.3906i | 0.102671 | + | 0.958152i | ||||
\(649\) | − | 46.2539i | − | 1.81562i | ||||||
\(650\) | −16.7365 | + | 10.1747i | −0.656458 | + | 0.399086i | ||||
\(651\) | − | 3.77787i | − | 0.148066i | ||||||
\(652\) | −15.8196 | + | 0.297529i | −0.619542 | + | 0.0116521i | ||||
\(653\) | 5.70477 | − | 2.90673i | 0.223245 | − | 0.113749i | −0.338791 | − | 0.940862i | \(-0.610018\pi\) |
0.562036 | + | 0.827112i | \(0.310018\pi\) | |||||||
\(654\) | 4.09158 | + | 0.941702i | 0.159993 | + | 0.0368235i | ||||
\(655\) | −7.29465 | + | 29.5407i | −0.285025 | + | 1.15425i | ||||
\(656\) | 7.77083 | + | 9.89096i | 0.303400 | + | 0.386177i | ||||
\(657\) | −0.0397059 | + | 0.0397059i | −0.00154907 | + | 0.00154907i | ||||
\(658\) | −30.9445 | − | 12.4780i | −1.20634 | − | 0.486445i | ||||
\(659\) | −11.5792 | − | 8.41281i | −0.451063 | − | 0.327716i | 0.338952 | − | 0.940804i | \(-0.389927\pi\) |
−0.790015 | + | 0.613087i | \(0.789927\pi\) | |||||||
\(660\) | −1.71823 | − | 4.00765i | −0.0668820 | − | 0.155998i | ||||
\(661\) | −0.382235 | + | 0.277710i | −0.0148672 | + | 0.0108017i | −0.595194 | − | 0.803582i | \(-0.702925\pi\) |
0.580327 | + | 0.814384i | \(0.302925\pi\) | |||||||
\(662\) | −22.2310 | + | 5.55877i | −0.864031 | + | 0.216048i | ||||
\(663\) | 2.44480 | − | 0.387218i | 0.0949480 | − | 0.0150383i | ||||
\(664\) | 7.40203 | + | 5.96923i | 0.287254 | + | 0.231651i | ||||
\(665\) | 15.5375 | + | 25.7273i | 0.602520 | + | 0.997661i | ||||
\(666\) | −9.43452 | + | 15.7257i | −0.365580 | + | 0.609360i | ||||
\(667\) | −0.452453 | + | 0.887989i | −0.0175190 | + | 0.0343831i | ||||
\(668\) | −15.4746 | + | 22.1638i | −0.598731 | + | 0.857543i | ||||
\(669\) | −2.10333 | + | 0.683413i | −0.0813193 | + | 0.0264223i | ||||
\(670\) | 4.88284 | + | 9.51410i | 0.188641 | + | 0.367562i | ||||
\(671\) | 6.98096 | + | 2.26825i | 0.269497 | + | 0.0875648i | ||||
\(672\) | 1.77499 | − | 2.28779i | 0.0684719 | − | 0.0882533i | ||||
\(673\) | −21.1799 | − | 3.35456i | −0.816424 | − | 0.129309i | −0.265764 | − | 0.964038i | \(-0.585624\pi\) |
−0.550660 | + | 0.834729i | \(0.685624\pi\) | |||||||
\(674\) | 28.4902 | − | 2.51198i | 1.09740 | − | 0.0967578i | ||||
\(675\) | −1.69031 | − | 5.44092i | −0.0650602 | − | 0.209421i | ||||
\(676\) | 10.4903 | − | 1.86434i | 0.403471 | − | 0.0717055i | ||||
\(677\) | 6.95245 | − | 43.8961i | 0.267204 | − | 1.68706i | −0.380191 | − | 0.924908i | \(-0.624142\pi\) |
0.647395 | − | 0.762155i | \(-0.275858\pi\) | |||||||
\(678\) | −1.85761 | + | 1.16251i | −0.0713410 | + | 0.0446459i | ||||
\(679\) | 9.25648 | − | 28.4885i | 0.355231 | − | 1.09329i | ||||
\(680\) | −27.9251 | + | 9.74935i | −1.07088 | + | 0.373870i | ||||
\(681\) | −0.916813 | − | 2.82166i | −0.0351323 | − | 0.108126i | ||||
\(682\) | 40.8229 | + | 34.2075i | 1.56319 | + | 1.30987i | ||||
\(683\) | −21.8180 | − | 11.1168i | −0.834843 | − | 0.425374i | −0.0163335 | − | 0.999867i | \(-0.505199\pi\) |
−0.818510 | + | 0.574493i | \(0.805199\pi\) | |||||||
\(684\) | −26.7458 | − | 13.0001i | −1.02265 | − | 0.497071i | ||||
\(685\) | −16.4211 | + | 38.9294i | −0.627418 | + | 1.48742i | ||||
\(686\) | −19.4986 | + | 16.9730i | −0.744460 | + | 0.648033i | ||||
\(687\) | −0.503849 | − | 3.18118i | −0.0192230 | − | 0.121369i | ||||
\(688\) | 13.2795 | − | 7.40796i | 0.506276 | − | 0.282426i | ||||
\(689\) | 3.00217 | + | 4.13213i | 0.114374 | + | 0.157422i | ||||
\(690\) | 0.827892 | − | 2.57362i | 0.0315173 | − | 0.0979762i | ||||
\(691\) | −9.83947 | + | 13.5429i | −0.374311 | + | 0.515195i | −0.954066 | − | 0.299596i | \(-0.903148\pi\) |
0.579755 | + | 0.814791i | \(0.303148\pi\) | |||||||
\(692\) | 2.09882 | + | 0.638571i | 0.0797851 | + | 0.0242748i | ||||
\(693\) | 28.6452 | + | 28.6452i | 1.08814 | + | 1.08814i | ||||
\(694\) | 7.54511 | − | 3.20873i | 0.286408 | − | 0.121802i | ||||
\(695\) | −1.17332 | − | 16.2527i | −0.0445065 | − | 0.616501i | ||||
\(696\) | −0.00605649 | + | 0.120230i | −0.000229571 | + | 0.00455730i | ||||
\(697\) | −6.67656 | − | 13.1035i | −0.252893 | − | 0.496330i | ||||
\(698\) | 0.00516630 | − | 0.0746063i | 0.000195547 | − | 0.00282389i | ||||
\(699\) | −5.58072 | −0.211082 | ||||||||
\(700\) | 12.0219 | − | 23.9400i | 0.454383 | − | 0.904847i | ||||
\(701\) | 50.9450 | 1.92417 | 0.962083 | − | 0.272757i | \(-0.0879356\pi\) | ||||
0.962083 | + | 0.272757i | \(0.0879356\pi\) | |||||||
\(702\) | 0.308364 | − | 4.45307i | 0.0116384 | − | 0.168070i | ||||
\(703\) | −9.96723 | − | 19.5618i | −0.375921 | − | 0.737787i | ||||
\(704\) | 8.64933 | + | 39.8955i | 0.325984 | + | 1.50362i | ||||
\(705\) | −3.48571 | + | 1.41747i | −0.131279 | + | 0.0533848i | ||||
\(706\) | 5.35848 | − | 2.27882i | 0.201669 | − | 0.0857644i | ||||
\(707\) | −22.3682 | − | 22.3682i | −0.841244 | − | 0.841244i | ||||
\(708\) | 1.00830 | − | 3.31402i | 0.0378942 | − | 0.124549i | ||||
\(709\) | 23.6335 | − | 32.5288i | 0.887576 | − | 1.22164i | −0.0866885 | − | 0.996235i | \(-0.527628\pi\) |
0.974264 | − | 0.225408i | \(-0.0723715\pi\) | |||||||
\(710\) | 14.6403 | − | 10.7025i | 0.549442 | − | 0.401658i | ||||
\(711\) | 11.7492 | + | 16.1714i | 0.440629 | + | 0.606473i | ||||
\(712\) | 1.00132 | + | 2.23678i | 0.0375260 | + | 0.0838268i | ||||
\(713\) | 5.16574 | + | 32.6152i | 0.193458 | + | 1.22145i | ||||
\(714\) | −2.55355 | + | 2.22280i | −0.0955643 | + | 0.0831863i | ||||
\(715\) | −7.17914 | − | 30.7796i | −0.268485 | − | 1.15109i | ||||
\(716\) | −21.0955 | + | 43.4011i | −0.788376 | + | 1.62197i | ||||
\(717\) | 0.0778596 | + | 0.0396715i | 0.00290772 | + | 0.00148156i | ||||
\(718\) | 29.9533 | + | 25.0993i | 1.11785 | + | 0.936698i | ||||
\(719\) | 3.14270 | + | 9.67223i | 0.117203 | + | 0.360713i | 0.992400 | − | 0.123053i | \(-0.0392685\pi\) |
−0.875197 | + | 0.483766i | \(0.839269\pi\) | |||||||
\(720\) | 2.90133 | + | 26.3470i | 0.108126 | + | 0.981894i | ||||
\(721\) | −1.60612 | + | 4.94314i | −0.0598152 | + | 0.184092i | ||||
\(722\) | 7.40157 | − | 4.63197i | 0.275458 | − | 0.172384i | ||||
\(723\) | −0.652848 | + | 4.12192i | −0.0242797 | + | 0.153296i | ||||
\(724\) | −2.44578 | − | 13.7619i | −0.0908966 | − | 0.511455i | ||||
\(725\) | 0.159971 | + | 1.10218i | 0.00594117 | + | 0.0409339i | ||||
\(726\) | 4.04805 | − | 0.356916i | 0.150237 | − | 0.0132464i | ||||
\(727\) | −8.65722 | − | 1.37117i | −0.321078 | − | 0.0508538i | −0.00618506 | − | 0.999981i | \(-0.501969\pi\) |
−0.314893 | + | 0.949127i | \(0.601969\pi\) | |||||||
\(728\) | 15.5687 | − | 14.0754i | 0.577016 | − | 0.521670i | ||||
\(729\) | −23.8224 | − | 7.74037i | −0.882312 | − | 0.286681i | ||||
\(730\) | −0.0422450 | + | 0.0424933i | −0.00156356 | + | 0.00157275i | ||||
\(731\) | −16.9084 | + | 5.49386i | −0.625378 | + | 0.203198i | ||||
\(732\) | 0.450729 | + | 0.314697i | 0.0166594 | + | 0.0116315i | ||||
\(733\) | −0.119518 | + | 0.234567i | −0.00441450 | + | 0.00866394i | −0.893203 | − | 0.449653i | \(-0.851548\pi\) |
0.888789 | + | 0.458317i | \(0.151548\pi\) | |||||||
\(734\) | 4.93920 | − | 8.23282i | 0.182309 | − | 0.303879i | ||||
\(735\) | 0.00640283 | − | 0.0751348i | 0.000236172 | − | 0.00277139i | ||||
\(736\) | −12.1957 | + | 22.1780i | −0.449538 | + | 0.817493i | ||||
\(737\) | −17.0437 | + | 2.69946i | −0.627814 | + | 0.0994360i | ||||
\(738\) | −12.7854 | + | 3.19695i | −0.470638 | + | 0.117681i | ||||
\(739\) | 5.97506 | − | 4.34113i | 0.219796 | − | 0.159691i | −0.472439 | − | 0.881363i | \(-0.656626\pi\) |
0.692235 | + | 0.721672i | \(0.256626\pi\) | |||||||
\(740\) | −10.0182 | + | 16.8100i | −0.368275 | + | 0.617949i | ||||
\(741\) | 2.14841 | + | 1.56091i | 0.0789238 | + | 0.0573415i | ||||
\(742\) | −6.47886 | − | 2.61254i | −0.237846 | − | 0.0959092i | ||||
\(743\) | −7.03452 | + | 7.03452i | −0.258071 | + | 0.258071i | −0.824269 | − | 0.566198i | \(-0.808414\pi\) |
0.566198 | + | 0.824269i | \(0.308414\pi\) | |||||||
\(744\) | 2.17920 | + | 3.34083i | 0.0798935 | + | 0.122481i | ||||
\(745\) | −4.04196 | − | 2.51305i | −0.148086 | − | 0.0920709i | ||||
\(746\) | 15.8316 | + | 3.64373i | 0.579634 | + | 0.133406i | ||||
\(747\) | −8.87719 | + | 4.52315i | −0.324799 | + | 0.165494i | ||||
\(748\) | −0.897500 | − | 47.7200i | −0.0328159 | − | 1.74482i | ||||
\(749\) | 30.6785i | 1.12097i | ||||||||
\(750\) | −0.904778 | − | 2.88254i | −0.0330378 | − | 0.105255i | ||||
\(751\) | − | 29.2029i | − | 1.06563i | −0.846232 | − | 0.532814i | \(-0.821134\pi\) | ||
0.846232 | − | 0.532814i | \(-0.178866\pi\) | |||||||
\(752\) | 34.5624 | − | 6.81530i | 1.26036 | − | 0.248529i | ||||
\(753\) | −0.923203 | + | 0.470395i | −0.0336434 | + | 0.0171422i | ||||
\(754\) | −0.195709 | + | 0.850332i | −0.00712731 | + | 0.0309673i | ||||
\(755\) | 11.5907 | + | 7.20638i | 0.421827 | + | 0.262267i | ||||
\(756\) | 2.87348 | + | 5.38664i | 0.104507 | + | 0.195910i | ||||
\(757\) | −20.1848 | + | 20.1848i | −0.733630 | + | 0.733630i | −0.971337 | − | 0.237707i | \(-0.923604\pi\) |
0.237707 | + | 0.971337i | \(0.423604\pi\) | |||||||
\(758\) | −6.77172 | + | 16.7933i | −0.245960 | + | 0.609959i | ||||
\(759\) | 3.52933 | + | 2.56421i | 0.128107 | + | 0.0930749i | ||||
\(760\) | −28.5804 | − | 13.7884i | −1.03672 | − | 0.500159i | ||||
\(761\) | 7.93313 | − | 5.76375i | 0.287576 | − | 0.208936i | −0.434639 | − | 0.900605i | \(-0.643124\pi\) |
0.722215 | + | 0.691669i | \(0.243124\pi\) | |||||||
\(762\) | 1.05221 | + | 4.20807i | 0.0381176 | + | 0.152442i | ||||
\(763\) | −41.1103 | + | 6.51124i | −1.48829 | + | 0.235723i | ||||
\(764\) | 21.8688 | − | 22.7071i | 0.791184 | − | 0.821516i | ||||
\(765\) | 2.63141 | − | 30.8786i | 0.0951387 | − | 1.11642i | ||||
\(766\) | 22.3523 | + | 13.4100i | 0.807620 | + | 0.484524i | ||||
\(767\) | 11.3988 | − | 22.3715i | 0.411589 | − | 0.807788i | ||||
\(768\) | −0.249980 | + | 3.04700i | −0.00902038 | + | 0.109949i | ||||
\(769\) | 17.2976 | − | 5.62032i | 0.623766 | − | 0.202674i | 0.0199544 | − | 0.999801i | \(-0.493648\pi\) |
0.603812 | + | 0.797127i | \(0.293648\pi\) | |||||||
\(770\) | 30.6561 | + | 30.4770i | 1.10477 | + | 1.09831i | ||||
\(771\) | 2.06162 | + | 0.669862i | 0.0742475 | + | 0.0241245i | ||||
\(772\) | 10.9974 | + | 14.5531i | 0.395807 | + | 0.523778i | ||||
\(773\) | 42.7233 | + | 6.76671i | 1.53665 | + | 0.243382i | 0.866627 | − | 0.498957i | \(-0.166283\pi\) |
0.670025 | + | 0.742339i | \(0.266283\pi\) | |||||||
\(774\) | 1.39931 | + | 15.8706i | 0.0502970 | + | 0.570455i | ||||
\(775\) | 25.7538 | + | 26.4294i | 0.925103 | + | 0.949370i | ||||
\(776\) | 8.24751 | + | 30.5323i | 0.296068 | + | 1.09604i | ||||
\(777\) | −0.350388 | + | 2.21226i | −0.0125701 | + | 0.0793644i | ||||
\(778\) | 18.6603 | + | 29.8179i | 0.669006 | + | 1.06902i | ||||
\(779\) | 4.87557 | − | 15.0055i | 0.174685 | − | 0.537626i | ||||
\(780\) | 0.156598 | − | 2.36181i | 0.00560709 | − | 0.0845664i | ||||
\(781\) | 9.04296 | + | 27.8314i | 0.323582 | + | 0.995884i | ||||
\(782\) | 19.0060 | − | 22.6816i | 0.679653 | − | 0.811091i | ||||
\(783\) | −0.226151 | − | 0.115230i | −0.00808199 | − | 0.00411798i | ||||
\(784\) | −0.192752 | + | 0.679133i | −0.00688401 | + | 0.0242547i | ||||
\(785\) | −8.24623 | − | 35.3546i | −0.294320 | − | 1.26186i | ||||
\(786\) | −2.41432 | − | 2.77356i | −0.0861158 | − | 0.0989297i | ||||
\(787\) | 1.89589 | + | 11.9702i | 0.0675813 | + | 0.426691i | 0.998162 | + | 0.0606043i | \(0.0193028\pi\) |
−0.930581 | + | 0.366087i | \(0.880697\pi\) | |||||||
\(788\) | −3.73729 | − | 10.8064i | −0.133135 | − | 0.384961i | ||||
\(789\) | −2.23378 | − | 3.07453i | −0.0795245 | − | 0.109456i | ||||
\(790\) | 12.5878 | + | 17.2193i | 0.447854 | + | 0.612635i | ||||
\(791\) | 12.7693 | − | 17.5755i | 0.454025 | − | 0.624911i | ||||
\(792\) | −41.8549 | − | 8.80785i | −1.48725 | − | 0.312973i | ||||
\(793\) | 2.81747 | + | 2.81747i | 0.100051 | + | 0.100051i | ||||
\(794\) | −15.4140 | − | 36.2449i | −0.547022 | − | 1.28628i | ||||
\(795\) | −0.729805 | + | 0.296775i | −0.0258835 | + | 0.0105255i | ||||
\(796\) | 48.8094 | + | 6.79243i | 1.73000 | + | 0.240751i | ||||
\(797\) | −7.47486 | − | 14.6702i | −0.264773 | − | 0.519646i | 0.719895 | − | 0.694083i | \(-0.244190\pi\) |
−0.984668 | + | 0.174436i | \(0.944190\pi\) | |||||||
\(798\) | −3.62342 | − | 0.250912i | −0.128268 | − | 0.00888221i | ||||
\(799\) | −41.1877 | −1.45712 | ||||||||
\(800\) | 3.17831 | + | 28.1051i | 0.112370 | + | 0.993666i | ||||
\(801\) | −2.56770 | −0.0907253 | ||||||||
\(802\) | −14.7590 | − | 1.02202i | −0.521158 | − | 0.0360889i | ||||
\(803\) | −0.0438956 | − | 0.0861499i | −0.00154904 | − | 0.00304016i | ||||
\(804\) | −1.28000 | − | 0.178128i | −0.0451423 | − | 0.00628210i | ||||
\(805\) | 1.92984 | + | 26.7319i | 0.0680178 | + | 0.942177i | ||||
\(806\) | 11.3146 | + | 26.6055i | 0.398540 | + | 0.937139i | ||||
\(807\) | −1.36921 | − | 1.36921i | −0.0481985 | − | 0.0481985i | ||||
\(808\) | 32.6833 | + | 6.87780i | 1.14980 | + | 0.241960i | ||||
\(809\) | 12.5671 | − | 17.2972i | 0.441837 | − | 0.608136i | −0.528782 | − | 0.848757i | \(-0.677351\pi\) |
0.970619 | + | 0.240621i | \(0.0773512\pi\) | |||||||
\(810\) | −26.1080 | − | 8.39852i | −0.917342 | − | 0.295094i | ||||
\(811\) | −18.5355 | − | 25.5120i | −0.650871 | − | 0.895847i | 0.348265 | − | 0.937396i | \(-0.386771\pi\) |
−0.999136 | + | 0.0415488i | \(0.986771\pi\) | |||||||
\(812\) | −0.390066 | − | 1.12788i | −0.0136886 | − | 0.0395807i | ||||
\(813\) | 0.0564703 | + | 0.356539i | 0.00198050 | + | 0.0125044i | ||||
\(814\) | −20.7326 | − | 23.8176i | −0.726677 | − | 0.834806i | ||||
\(815\) | 6.87529 | − | 16.2992i | 0.240831 | − | 0.570937i | ||||
\(816\) | 0.975957 | − | 3.43863i | 0.0341653 | − | 0.120376i | ||||
\(817\) | −16.9947 | − | 8.65922i | −0.594569 | − | 0.302948i | ||||
\(818\) | 14.0988 | − | 16.8254i | 0.492953 | − | 0.588286i | ||||
\(819\) | 6.79540 | + | 20.9141i | 0.237451 | + | 0.730798i | ||||
\(820\) | −13.6330 | + | 3.45136i | −0.476086 | + | 0.120527i | ||||
\(821\) | −6.22378 | + | 19.1548i | −0.217211 | + | 0.668508i | 0.781778 | + | 0.623557i | \(0.214313\pi\) |
−0.998989 | + | 0.0449507i | \(0.985687\pi\) | |||||||
\(822\) | −2.70867 | − | 4.32826i | −0.0944757 | − | 0.150966i | ||||
\(823\) | −6.60034 | + | 41.6729i | −0.230073 | + | 1.45263i | 0.554289 | + | 0.832324i | \(0.312990\pi\) |
−0.784363 | + | 0.620302i | \(0.787010\pi\) | |||||||
\(824\) | −1.43105 | − | 5.29776i | −0.0498531 | − | 0.184556i | ||||
\(825\) | 4.87473 | + | 0.0631086i | 0.169716 | + | 0.00219716i | ||||
\(826\) | 3.01613 | + | 34.2082i | 0.104945 | + | 1.19026i | ||||
\(827\) | 13.5996 | + | 2.15397i | 0.472905 | + | 0.0749008i | 0.388338 | − | 0.921517i | \(-0.373049\pi\) |
0.0845669 | + | 0.996418i | \(0.473049\pi\) | |||||||
\(828\) | −15.9879 | − | 21.1571i | −0.555620 | − | 0.735261i | ||||
\(829\) | 35.5980 | + | 11.5665i | 1.23637 | + | 0.401721i | 0.853018 | − | 0.521881i | \(-0.174770\pi\) |
0.383352 | + | 0.923602i | \(0.374770\pi\) | |||||||
\(830\) | −9.45848 | + | 4.85430i | −0.328309 | + | 0.168495i | ||||
\(831\) | 2.08074 | − | 0.676072i | 0.0721800 | − | 0.0234527i | ||||
\(832\) | −5.64848 | + | 21.4277i | −0.195826 | + | 0.742872i | ||||
\(833\) | 0.374718 | − | 0.735426i | 0.0129832 | − | 0.0254810i | ||||
\(834\) | 1.68864 | + | 1.01308i | 0.0584727 | + | 0.0350802i | ||||
\(835\) | −15.6239 | − | 25.8702i | −0.540686 | − | 0.895275i | ||||
\(836\) | 35.5203 | − | 36.8820i | 1.22850 | − | 1.27559i | ||||
\(837\) | −8.30637 | + | 1.31560i | −0.287110 | + | 0.0454738i | ||||
\(838\) | 12.3858 | + | 49.5339i | 0.427859 | + | 1.71112i | ||||
\(839\) | −6.53213 | + | 4.74587i | −0.225514 | + | 0.163846i | −0.694805 | − | 0.719198i | \(-0.744509\pi\) |
0.469291 | + | 0.883044i | \(0.344509\pi\) | |||||||
\(840\) | 1.53209 | + | 2.85191i | 0.0528621 | + | 0.0984004i | ||||
\(841\) | −23.4214 | − | 17.0166i | −0.807633 | − | 0.586780i | ||||
\(842\) | −8.47419 | + | 21.0153i | −0.292040 | + | 0.724234i | ||||
\(843\) | −3.13022 | + | 3.13022i | −0.107810 | + | 0.107810i | ||||
\(844\) | −18.6899 | − | 35.0362i | −0.643332 | − | 1.20600i | ||||
\(845\) | −2.85577 | + | 11.5649i | −0.0982416 | + | 0.397844i | ||||
\(846\) | −8.27867 | + | 35.9698i | −0.284626 | + | 1.23667i | ||||
\(847\) | −35.8955 | + | 18.2897i | −1.23338 | + | 0.628440i | ||||
\(848\) | 7.23635 | − | 1.42692i | 0.248497 | − | 0.0490008i | ||||
\(849\) | 3.64092i | 0.124956i | ||||||||
\(850\) | 2.71136 | − | 32.9580i | 0.0929990 | − | 1.13045i | ||||
\(851\) | − | 19.5780i | − | 0.671126i | ||||||
\(852\) | 0.0412114 | + | 2.19121i | 0.00141188 | + | 0.0750695i | ||||
\(853\) | −31.0768 | + | 15.8344i | −1.06405 | + | 0.542160i | −0.896199 | − | 0.443652i | \(-0.853683\pi\) |
−0.167851 | + | 0.985812i | \(0.553683\pi\) | |||||||
\(854\) | −5.31085 | − | 1.22232i | −0.181733 | − | 0.0418271i | ||||
\(855\) | 25.4212 | − | 21.4287i | 0.869386 | − | 0.732847i | ||||
\(856\) | −17.6964 | − | 27.1294i | −0.604850 | − | 0.927265i | ||||
\(857\) | 31.7738 | − | 31.7738i | 1.08537 | − | 1.08537i | 0.0893726 | − | 0.995998i | \(-0.471514\pi\) |
0.995998 | − | 0.0893726i | \(-0.0284862\pi\) | |||||||
\(858\) | 3.54234 | + | 1.42841i | 0.120933 | + | 0.0487652i | ||||
\(859\) | 34.2690 | + | 24.8979i | 1.16924 | + | 0.849504i | 0.990918 | − | 0.134468i | \(-0.0429325\pi\) |
0.178324 | + | 0.983972i | \(0.442932\pi\) | |||||||
\(860\) | 1.54278 | + | 16.9307i | 0.0526085 | + | 0.577332i | ||||
\(861\) | −1.30223 | + | 0.946129i | −0.0443800 | + | 0.0322440i | ||||
\(862\) | 9.24400 | − | 2.31143i | 0.314852 | − | 0.0787275i | ||||
\(863\) | −16.4649 | + | 2.60778i | −0.560472 | + | 0.0887700i | −0.430242 | − | 0.902714i | \(-0.641572\pi\) |
−0.130230 | + | 0.991484i | \(0.541572\pi\) | |||||||
\(864\) | −5.64826 | − | 3.10597i | −0.192158 | − | 0.105667i | ||||
\(865\) | −1.60498 | + | 1.85474i | −0.0545708 | + | 0.0630631i | ||||
\(866\) | −7.67388 | + | 12.7911i | −0.260769 | + | 0.434658i | ||||
\(867\) | −0.422595 | + | 0.829389i | −0.0143521 | + | 0.0281675i | ||||
\(868\) | −32.4222 | − | 22.6370i | −1.10048 | − | 0.768350i | ||||
\(869\) | −32.7340 | + | 10.6359i | −1.11043 | + | 0.360799i | ||||
\(870\) | −0.120100 | − | 0.0607517i | −0.00407179 | − | 0.00205967i | ||||
\(871\) | −8.90876 | − | 2.89463i | −0.301862 | − | 0.0980809i | ||||
\(872\) | 32.5986 | − | 29.4718i | 1.10393 | − | 0.998042i | ||||
\(873\) | −32.7288 | − | 5.18374i | −1.10770 | − | 0.175443i | ||||
\(874\) | 31.6248 | − | 2.78836i | 1.06973 | − | 0.0943177i | ||||
\(875\) | 19.0057 | + | 23.1483i | 0.642511 | + | 0.782555i | ||||
\(876\) | −0.00126705 | − | 0.00712941i | −4.28096e−5 | − | 0.000240880i | ||||
\(877\) | −2.32444 | + | 14.6759i | −0.0784907 | + | 0.495571i | 0.916856 | + | 0.399217i | \(0.130718\pi\) |
−0.995347 | + | 0.0963539i | \(0.969282\pi\) | |||||||
\(878\) | 12.5541 | − | 7.85645i | 0.423679 | − | 0.265142i | ||||
\(879\) | 0.770780 | − | 2.37222i | 0.0259978 | − | 0.0800129i | ||||
\(880\) | −44.6899 | − | 9.26777i | −1.50649 | − | 0.312417i | ||||
\(881\) | −15.1162 | − | 46.5230i | −0.509279 | − | 1.56740i | −0.793456 | − | 0.608628i | \(-0.791720\pi\) |
0.284177 | − | 0.958772i | \(-0.408280\pi\) | |||||||
\(882\) | −0.566939 | − | 0.475066i | −0.0190898 | − | 0.0159963i | ||||
\(883\) | 1.45332 | + | 0.740506i | 0.0489083 | + | 0.0249200i | 0.478274 | − | 0.878211i | \(-0.341263\pi\) |
−0.429365 | + | 0.903131i | \(0.641263\pi\) | |||||||
\(884\) | 11.3261 | − | 23.3018i | 0.380937 | − | 0.783725i | ||||
\(885\) | 2.92863 | + | 2.53425i | 0.0984447 | + | 0.0851878i | ||||
\(886\) | 4.93478 | − | 4.29560i | 0.165787 | − | 0.144313i | ||||
\(887\) | −4.23212 | − | 26.7206i | −0.142101 | − | 0.897189i | −0.950989 | − | 0.309226i | \(-0.899930\pi\) |
0.808888 | − | 0.587963i | \(-0.200070\pi\) | |||||||
\(888\) | −0.966254 | − | 2.15845i | −0.0324254 | − | 0.0724329i | ||||
\(889\) | −25.2757 | − | 34.7890i | −0.847719 | − | 1.16679i | ||||
\(890\) | −2.73993 | + | 0.00802808i | −0.0918426 | + | 0.000269102i | ||||
\(891\) | 26.0125 | − | 35.8032i | 0.871452 | − | 1.19945i | ||||
\(892\) | −6.73800 | + | 22.1461i | −0.225605 | + | 0.741505i | ||||
\(893\) | −31.2456 | − | 31.2456i | −1.04560 | − | 1.04560i | ||||
\(894\) | 0.529300 | − | 0.225097i | 0.0177024 | − | 0.00752837i | ||||
\(895\) | −34.7729 | − | 41.2515i | −1.16233 | − | 1.37889i | ||||
\(896\) | −8.99834 | − | 28.9417i | −0.300614 | − | 0.966873i | ||||
\(897\) | 1.07510 | + | 2.11000i | 0.0358965 | + | 0.0704508i | ||||
\(898\) | 1.76764 | − | 25.5264i | 0.0589870 | − | 0.851828i | ||||
\(899\) | 1.64396 | 0.0548290 | ||||||||
\(900\) | −28.2376 | − | 8.99237i | −0.941255 | − | 0.299746i | ||||
\(901\) | −8.62349 | −0.287290 | ||||||||
\(902\) | 1.56767 | − | 22.6386i | 0.0521976 | − | 0.753784i | ||||
\(903\) | 0.883420 | + | 1.73381i | 0.0293984 | + | 0.0576976i | ||||
\(904\) | −1.15397 | + | 22.9080i | −0.0383806 | + | 0.761910i | ||||
\(905\) | 15.1716 | + | 3.74640i | 0.504321 | + | 0.124535i | ||||
\(906\) | −1.51781 | + | 0.645485i | −0.0504260 | + | 0.0214448i | ||||
\(907\) | −35.5508 | − | 35.5508i | −1.18045 | − | 1.18045i | −0.979629 | − | 0.200818i | \(-0.935640\pi\) |
−0.200818 | − | 0.979629i | \(-0.564360\pi\) | |||||||
\(908\) | −29.7094 | − | 9.03918i | −0.985942 | − | 0.299976i | ||||
\(909\) | −20.5690 | + | 28.3108i | −0.682230 | + | 0.939009i | ||||
\(910\) | 7.31659 | + | 22.2957i | 0.242543 | + | 0.739094i | ||||
\(911\) | 3.41319 | + | 4.69785i | 0.113084 | + | 0.155647i | 0.861807 | − | 0.507236i | \(-0.169333\pi\) |
−0.748723 | + | 0.662883i | \(0.769333\pi\) | |||||||
\(912\) | 3.34898 | − | 1.86823i | 0.110896 | − | 0.0618631i | ||||
\(913\) | −2.68368 | − | 16.9441i | −0.0888169 | − | 0.560768i | ||||
\(914\) | −35.3920 | + | 30.8078i | −1.17066 | + | 1.01903i | ||||
\(915\) | −0.526104 | + | 0.317731i | −0.0173925 | + | 0.0105039i | ||||
\(916\) | −30.3204 | − | 14.7375i | −1.00181 | − | 0.486941i | ||||
\(917\) | 32.4808 | + | 16.5498i | 1.07261 | + | 0.546522i | ||||
\(918\) | 5.77650 | + | 4.84041i | 0.190653 | + | 0.159757i | ||||
\(919\) | 13.3369 | + | 41.0468i | 0.439944 | + | 1.35401i | 0.887934 | + | 0.459971i | \(0.152140\pi\) |
−0.447990 | + | 0.894039i | \(0.647860\pi\) | |||||||
\(920\) | −17.1265 | − | 22.5263i | −0.564643 | − | 0.742669i | ||||
\(921\) | −0.765886 | + | 2.35716i | −0.0252368 | + | 0.0776709i | ||||
\(922\) | 38.7938 | − | 24.2775i | 1.27760 | − | 0.799537i | ||||
\(923\) | −2.48500 | + | 15.6897i | −0.0817948 | + | 0.516432i | ||||
\(924\) | −5.14340 | + | 0.914093i | −0.169205 | + | 0.0300714i | ||||
\(925\) | −12.6298 | − | 17.8652i | −0.415264 | − | 0.587404i | ||||
\(926\) | −43.2004 | + | 3.80897i | −1.41965 | + | 0.125171i | ||||
\(927\) | 5.67890 | + | 0.899449i | 0.186520 | + | 0.0295418i | ||||
\(928\) | 0.995540 | + | 0.772396i | 0.0326802 | + | 0.0253551i | ||||
\(929\) | 34.3019 | + | 11.1453i | 1.12541 | + | 0.365667i | 0.811829 | − | 0.583895i | \(-0.198472\pi\) |
0.313578 | + | 0.949562i | \(0.398472\pi\) | |||||||
\(930\) | −4.40258 | + | 0.710530i | −0.144366 | + | 0.0232992i | ||||
\(931\) | 0.842173 | − | 0.273639i | 0.0276011 | − | 0.00896814i | ||||
\(932\) | −33.4397 | + | 47.8946i | −1.09535 | + | 1.56884i | ||||
\(933\) | −0.361052 | + | 0.708605i | −0.0118203 | + | 0.0231987i | ||||
\(934\) | 11.3406 | − | 18.9028i | 0.371075 | − | 0.618520i | ||||
\(935\) | 49.1669 | + | 20.7394i | 1.60793 | + | 0.678252i | ||||
\(936\) | −18.0733 | − | 14.5748i | −0.590743 | − | 0.476394i | ||||
\(937\) | 37.4056 | − | 5.92447i | 1.22199 | − | 0.193544i | 0.488084 | − | 0.872796i | \(-0.337696\pi\) |
0.733905 | + | 0.679252i | \(0.237696\pi\) | |||||||
\(938\) | 12.4291 | − | 3.10785i | 0.405824 | − | 0.101475i | ||||
\(939\) | −3.46333 | + | 2.51626i | −0.113022 | + | 0.0821149i | ||||
\(940\) | −8.72149 | + | 38.4083i | −0.284464 | + | 1.25274i | ||||
\(941\) | 25.8261 | + | 18.7637i | 0.841906 | + | 0.611680i | 0.922902 | − | 0.385034i | \(-0.125810\pi\) |
−0.0809965 | + | 0.996714i | \(0.525810\pi\) | |||||||
\(942\) | 4.06886 | + | 1.64073i | 0.132571 | + | 0.0534578i | ||||
\(943\) | 9.94877 | − | 9.94877i | 0.323977 | − | 0.323977i | ||||
\(944\) | −22.3997 | − | 28.5110i | −0.729047 | − | 0.927954i | ||||
\(945\) | −6.80804 | + | 0.491487i | −0.221466 | + | 0.0159881i | ||||
\(946\) | −26.7343 | − | 6.15307i | −0.869208 | − | 0.200054i | ||||
\(947\) | −3.14898 | + | 1.60449i | −0.102328 | + | 0.0521388i | −0.504405 | − | 0.863467i | \(-0.668288\pi\) |
0.402077 | + | 0.915606i | \(0.368288\pi\) | |||||||
\(948\) | −2.57720 | + | 0.0484710i | −0.0837035 | + | 0.00157426i | ||||
\(949\) | − | 0.0524856i | − | 0.00170375i | ||||||
\(950\) | 27.0593 | − | 22.9455i | 0.877920 | − | 0.744452i | ||||
\(951\) | 1.20369i | 0.0390325i | ||||||||
\(952\) | 3.77551 | + | 35.2340i | 0.122365 | + | 1.14194i | ||||
\(953\) | 48.0361 | − | 24.4756i | 1.55604 | − | 0.792843i | 0.556759 | − | 0.830674i | \(-0.312045\pi\) |
0.999284 | + | 0.0378308i | \(0.0120448\pi\) | |||||||
\(954\) | −1.73331 | + | 7.53101i | −0.0561179 | + | 0.243825i | ||||
\(955\) | 13.2772 | + | 32.6502i | 0.429641 | + | 1.05654i | ||||
\(956\) | 0.807001 | − | 0.430491i | 0.0261003 | − | 0.0139231i | ||||
\(957\) | 0.153571 | − | 0.153571i | 0.00496426 | − | 0.00496426i | ||||
\(958\) | −3.68402 | + | 9.13605i | −0.119025 | + | 0.295172i | ||||
\(959\) | 40.9512 | + | 29.7528i | 1.32238 | + | 0.960767i | ||||
\(960\) | −2.99993 | − | 1.63823i | −0.0968224 | − | 0.0528736i | ||||
\(961\) | 18.9882 | − | 13.7957i | 0.612523 | − | 0.445024i | ||||
\(962\) | −4.15806 | − | 16.6292i | −0.134061 | − | 0.536146i | ||||
\(963\) | 33.5198 | − | 5.30901i | 1.08016 | − | 0.171080i | ||||
\(964\) | 31.4630 | + | 30.3014i | 1.01336 | + | 0.975943i | ||||
\(965\) | −19.8611 | + | 4.63246i | −0.639350 | + | 0.149124i | ||||
\(966\) | −2.77741 | − | 1.66628i | −0.0893618 | − | 0.0536118i | ||||
\(967\) | −7.03165 | + | 13.8004i | −0.226123 | + | 0.443791i | −0.975995 | − | 0.217792i | \(-0.930115\pi\) |
0.749873 | + | 0.661582i | \(0.230115\pi\) | |||||||
\(968\) | 21.1928 | − | 36.8796i | 0.681163 | − | 1.18535i | ||||
\(969\) | −4.26415 | + | 1.38551i | −0.136984 | + | 0.0445089i | ||||
\(970\) | −34.9403 | − | 5.42911i | −1.12187 | − | 0.174318i | ||||
\(971\) | −16.7721 | − | 5.44959i | −0.538242 | − | 0.174886i | 0.0272659 | − | 0.999628i | \(-0.491320\pi\) |
−0.565508 | + | 0.824743i | \(0.691320\pi\) | |||||||
\(972\) | 8.09889 | − | 6.12014i | 0.259772 | − | 0.196303i | ||||
\(973\) | −19.2817 | − | 3.05393i | −0.618144 | − | 0.0979044i | ||||
\(974\) | 2.59016 | + | 29.3769i | 0.0829940 | + | 0.941295i | ||||
\(975\) | 2.34220 | + | 1.23186i | 0.0750103 | + | 0.0394510i | ||||
\(976\) | 5.40154 | − | 1.98256i | 0.172899 | − | 0.0634602i | ||||
\(977\) | −8.24291 | + | 52.0437i | −0.263714 | + | 1.66502i | 0.399605 | + | 0.916687i | \(0.369147\pi\) |
−0.663319 | + | 0.748337i | \(0.730853\pi\) | |||||||
\(978\) | 1.13408 | + | 1.81219i | 0.0362640 | + | 0.0579473i | ||||
\(979\) | 1.36625 | − | 4.20489i | 0.0436656 | − | 0.134389i | ||||
\(980\) | −0.606452 | − | 0.505158i | −0.0193724 | − | 0.0161367i | ||||
\(981\) | 14.2286 | + | 43.7910i | 0.454283 | + | 1.39814i | ||||
\(982\) | −4.46875 | + | 5.33297i | −0.142603 | + | 0.170182i | ||||
\(983\) | 15.6381 | + | 7.96803i | 0.498779 | + | 0.254141i | 0.685234 | − | 0.728323i | \(-0.259700\pi\) |
−0.186455 | + | 0.982463i | \(0.559700\pi\) | |||||||
\(984\) | 0.605826 | − | 1.58785i | 0.0193130 | − | 0.0506188i | ||||
\(985\) | 12.7379 | + | 1.08549i | 0.405862 | + | 0.0345867i | ||||
\(986\) | −0.967261 | − | 1.11119i | −0.0308039 | − | 0.0353875i | ||||
\(987\) | 0.705221 | + | 4.45259i | 0.0224474 | + | 0.141728i | ||||
\(988\) | 26.2693 | − | 9.08498i | 0.835736 | − | 0.289032i | ||||
\(989\) | −9.99752 | − | 13.7604i | −0.317903 | − | 0.437555i | ||||
\(990\) | 27.9945 | − | 38.7695i | 0.889724 | − | 1.23218i | ||||
\(991\) | −20.0939 | + | 27.6568i | −0.638302 | + | 0.878548i | −0.998524 | − | 0.0543192i | \(-0.982701\pi\) |
0.360221 | + | 0.932867i | \(0.382701\pi\) | |||||||
\(992\) | 41.7293 | + | 1.31600i | 1.32491 | + | 0.0417832i | ||||
\(993\) | 2.18931 | + | 2.18931i | 0.0694756 | + | 0.0694756i | ||||
\(994\) | −8.50278 | − | 19.9937i | −0.269692 | − | 0.634161i | ||||
\(995\) | −29.0913 | + | 46.7902i | −0.922256 | + | 1.48335i | ||||
\(996\) | 0.177087 | − | 1.27252i | 0.00561122 | − | 0.0403214i | ||||
\(997\) | 0.954518 | + | 1.87335i | 0.0302299 | + | 0.0593295i | 0.905628 | − | 0.424074i | \(-0.139400\pi\) |
−0.875398 | + | 0.483404i | \(0.839400\pi\) | |||||||
\(998\) | 27.9542 | + | 1.93576i | 0.884875 | + | 0.0612754i | ||||
\(999\) | 4.98610 | 0.157753 |
(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 | 100.2.l.b.23.1 | ✓ | 96 | |
3.2 | odd | 2 | 900.2.bj.d.523.12 | 96 | |||
4.3 | odd | 2 | inner | 100.2.l.b.23.12 | yes | 96 | |
5.2 | odd | 4 | 500.2.l.e.407.8 | 96 | |||
5.3 | odd | 4 | 500.2.l.d.407.5 | 96 | |||
5.4 | even | 2 | 500.2.l.f.343.12 | 96 | |||
12.11 | even | 2 | 900.2.bj.d.523.1 | 96 | |||
20.3 | even | 4 | 500.2.l.d.407.6 | 96 | |||
20.7 | even | 4 | 500.2.l.e.407.7 | 96 | |||
20.19 | odd | 2 | 500.2.l.f.343.1 | 96 | |||
25.9 | even | 10 | 500.2.l.d.43.6 | 96 | |||
25.12 | odd | 20 | inner | 100.2.l.b.87.12 | yes | 96 | |
25.13 | odd | 20 | 500.2.l.f.207.1 | 96 | |||
25.16 | even | 5 | 500.2.l.e.43.7 | 96 | |||
75.62 | even | 20 | 900.2.bj.d.487.1 | 96 | |||
100.59 | odd | 10 | 500.2.l.d.43.5 | 96 | |||
100.63 | even | 20 | 500.2.l.f.207.12 | 96 | |||
100.87 | even | 20 | inner | 100.2.l.b.87.1 | yes | 96 | |
100.91 | odd | 10 | 500.2.l.e.43.8 | 96 | |||
300.287 | odd | 20 | 900.2.bj.d.487.12 | 96 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
100.2.l.b.23.1 | ✓ | 96 | 1.1 | even | 1 | trivial | |
100.2.l.b.23.12 | yes | 96 | 4.3 | odd | 2 | inner | |
100.2.l.b.87.1 | yes | 96 | 100.87 | even | 20 | inner | |
100.2.l.b.87.12 | yes | 96 | 25.12 | odd | 20 | inner | |
500.2.l.d.43.5 | 96 | 100.59 | odd | 10 | |||
500.2.l.d.43.6 | 96 | 25.9 | even | 10 | |||
500.2.l.d.407.5 | 96 | 5.3 | odd | 4 | |||
500.2.l.d.407.6 | 96 | 20.3 | even | 4 | |||
500.2.l.e.43.7 | 96 | 25.16 | even | 5 | |||
500.2.l.e.43.8 | 96 | 100.91 | odd | 10 | |||
500.2.l.e.407.7 | 96 | 20.7 | even | 4 | |||
500.2.l.e.407.8 | 96 | 5.2 | odd | 4 | |||
500.2.l.f.207.1 | 96 | 25.13 | odd | 20 | |||
500.2.l.f.207.12 | 96 | 100.63 | even | 20 | |||
500.2.l.f.343.1 | 96 | 20.19 | odd | 2 | |||
500.2.l.f.343.12 | 96 | 5.4 | even | 2 | |||
900.2.bj.d.487.1 | 96 | 75.62 | even | 20 | |||
900.2.bj.d.487.12 | 96 | 300.287 | odd | 20 | |||
900.2.bj.d.523.1 | 96 | 12.11 | even | 2 | |||
900.2.bj.d.523.12 | 96 | 3.2 | odd | 2 |