Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [405,2,Mod(8,405)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(405, base_ring=CyclotomicField(36))
chi = DirichletCharacter(H, H._module([2, 27]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("405.8");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 405 = 3^{4} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 405.r (of order \(36\), degree \(12\), not 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: | \(3.23394128186\) |
Analytic rank: | \(0\) |
Dimension: | \(192\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{36})\) |
Twist minimal: | no (minimal twist has level 135) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{36}]$ |
Embedding invariants
Embedding label | 368.6 | ||
Character | \(\chi\) | \(=\) | 405.368 |
Dual form | 405.2.r.a.197.6 |
$q$-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 \(\left(\mathbb{Z}/405\mathbb{Z}\right)^\times\).
\(n\) | \(82\) | \(326\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{5}{18}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.03978 | − | 0.0909691i | −0.735236 | − | 0.0643248i | −0.286614 | − | 0.958046i | \(-0.592530\pi\) |
−0.448622 | + | 0.893721i | \(0.648085\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.896746 | − | 0.158121i | −0.448373 | − | 0.0790603i | ||||
\(5\) | −2.23373 | + | 0.102160i | −0.998956 | + | 0.0456872i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.567627 | − | 0.397456i | −0.214543 | − | 0.150224i | 0.461366 | − | 0.887210i | \(-0.347360\pi\) |
−0.675908 | + | 0.736986i | \(0.736249\pi\) | |||||||
\(8\) | 2.93441 | + | 0.786273i | 1.03747 | + | 0.277990i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 2.33189 | + | 0.0969768i | 0.737407 | + | 0.0306668i | ||||
\(11\) | −0.597632 | + | 1.64198i | −0.180193 | + | 0.495076i | −0.996599 | − | 0.0824022i | \(-0.973741\pi\) |
0.816406 | + | 0.577478i | \(0.195963\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.0630233 | − | 0.720360i | −0.0174795 | − | 0.199792i | −0.999913 | − | 0.0131795i | \(-0.995805\pi\) |
0.982434 | − | 0.186612i | \(-0.0597508\pi\) | |||||||
\(14\) | 0.554051 | + | 0.464904i | 0.148076 | + | 0.124251i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −1.26829 | − | 0.461619i | −0.317072 | − | 0.115405i | ||||
\(17\) | 2.95614 | − | 0.792096i | 0.716970 | − | 0.192112i | 0.118151 | − | 0.992996i | \(-0.462303\pi\) |
0.598819 | + | 0.800884i | \(0.295637\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 3.38781 | − | 1.95596i | 0.777218 | − | 0.448727i | −0.0582254 | − | 0.998303i | \(-0.518544\pi\) |
0.835443 | + | 0.549576i | \(0.185211\pi\) | |||||||
\(20\) | 2.01925 | + | 0.261588i | 0.451517 | + | 0.0584928i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0.770776 | − | 1.65293i | 0.164330 | − | 0.352407i | ||||
\(23\) | 4.63055 | + | 6.61310i | 0.965535 | + | 1.37893i | 0.925091 | + | 0.379746i | \(0.123989\pi\) |
0.0404446 | + | 0.999182i | \(0.487123\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 4.97913 | − | 0.456395i | 0.995825 | − | 0.0912790i | ||||
\(26\) | 0.754750i | 0.148019i | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0.446171 | + | 0.446171i | 0.0843184 | + | 0.0843184i | ||||
\(29\) | 5.68683 | − | 4.77181i | 1.05602 | − | 0.886103i | 0.0623035 | − | 0.998057i | \(-0.480155\pi\) |
0.993713 | + | 0.111954i | \(0.0357109\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 0.764639 | − | 4.33648i | 0.137333 | − | 0.778855i | −0.835873 | − | 0.548922i | \(-0.815038\pi\) |
0.973207 | − | 0.229933i | \(-0.0738506\pi\) | |||||||
\(32\) | −4.22984 | − | 1.97241i | −0.747738 | − | 0.348676i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −3.14580 | + | 0.554689i | −0.539500 | + | 0.0951284i | ||||
\(35\) | 1.30853 | + | 0.829823i | 0.221182 | + | 0.140266i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 2.86540 | + | 10.6938i | 0.471069 | + | 1.75805i | 0.635939 | + | 0.771739i | \(0.280613\pi\) |
−0.164870 | + | 0.986315i | \(0.552720\pi\) | |||||||
\(38\) | −3.70052 | + | 1.72558i | −0.600303 | + | 0.279926i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −6.63502 | − | 1.45655i | −1.04909 | − | 0.230300i | ||||
\(41\) | −2.71443 | + | 3.23493i | −0.423923 | + | 0.505212i | −0.935159 | − | 0.354229i | \(-0.884743\pi\) |
0.511236 | + | 0.859441i | \(0.329188\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 2.74095 | + | 5.87799i | 0.417991 | + | 0.896385i | 0.996725 | + | 0.0808685i | \(0.0257694\pi\) |
−0.578733 | + | 0.815517i | \(0.696453\pi\) | |||||||
\(44\) | 0.795555 | − | 1.37794i | 0.119934 | − | 0.207733i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −4.21317 | − | 7.29742i | −0.621197 | − | 1.07595i | ||||
\(47\) | 2.32838 | − | 3.32527i | 0.339628 | − | 0.485040i | −0.612614 | − | 0.790382i | \(-0.709882\pi\) |
0.952243 | + | 0.305342i | \(0.0987709\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −2.22991 | − | 6.12663i | −0.318559 | − | 0.875234i | ||||
\(50\) | −5.21872 | + | 0.0216046i | −0.738038 | + | 0.00305535i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −0.0573878 | + | 0.655945i | −0.00795825 | + | 0.0909632i | ||||
\(53\) | 5.90884 | − | 5.90884i | 0.811642 | − | 0.811642i | −0.173238 | − | 0.984880i | \(-0.555423\pi\) |
0.984880 | + | 0.173238i | \(0.0554230\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 1.16721 | − | 3.72880i | 0.157386 | − | 0.502791i | ||||
\(56\) | −1.35314 | − | 1.61261i | −0.180821 | − | 0.215494i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −6.34714 | + | 4.44432i | −0.833420 | + | 0.583567i | ||||
\(59\) | −2.63750 | + | 0.959971i | −0.343373 | + | 0.124978i | −0.507950 | − | 0.861387i | \(-0.669596\pi\) |
0.164577 | + | 0.986364i | \(0.447374\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 1.13591 | + | 6.44205i | 0.145438 | + | 0.824820i | 0.967014 | + | 0.254722i | \(0.0819838\pi\) |
−0.821576 | + | 0.570098i | \(0.806905\pi\) | |||||||
\(62\) | −1.18954 | + | 4.43943i | −0.151072 | + | 0.563808i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 6.55640 | + | 3.78534i | 0.819551 | + | 0.473168i | ||||
\(65\) | 0.214369 | + | 1.60265i | 0.0265892 | + | 0.198785i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 11.1831 | − | 0.978397i | 1.36624 | − | 0.119530i | 0.619682 | − | 0.784853i | \(-0.287262\pi\) |
0.746556 | + | 0.665323i | \(0.231706\pi\) | |||||||
\(68\) | −2.77616 | + | 0.242882i | −0.336659 | + | 0.0294538i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −1.28510 | − | 0.981870i | −0.153598 | − | 0.117356i | ||||
\(71\) | −5.58689 | − | 3.22559i | −0.663042 | − | 0.382807i | 0.130393 | − | 0.991462i | \(-0.458376\pi\) |
−0.793435 | + | 0.608655i | \(0.791709\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −2.16667 | + | 8.08612i | −0.253589 | + | 0.946409i | 0.715280 | + | 0.698838i | \(0.246299\pi\) |
−0.968870 | + | 0.247571i | \(0.920368\pi\) | |||||||
\(74\) | −2.00658 | − | 11.3799i | −0.233261 | − | 1.32289i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −3.34729 | + | 1.21831i | −0.383960 | + | 0.139750i | ||||
\(77\) | 0.991847 | − | 0.694499i | 0.113032 | − | 0.0791455i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −1.04738 | − | 1.24822i | −0.117840 | − | 0.140436i | 0.703899 | − | 0.710300i | \(-0.251441\pi\) |
−0.821739 | + | 0.569863i | \(0.806996\pi\) | |||||||
\(80\) | 2.88018 | + | 0.901566i | 0.322013 | + | 0.100798i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 3.11669 | − | 3.11669i | 0.344181 | − | 0.344181i | ||||
\(83\) | −0.156261 | + | 1.78607i | −0.0171518 | + | 0.196046i | 0.982784 | + | 0.184756i | \(0.0591494\pi\) |
−0.999936 | + | 0.0112903i | \(0.996406\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −6.52232 | + | 2.07133i | −0.707444 | + | 0.224667i | ||||
\(86\) | −2.31528 | − | 6.36117i | −0.249663 | − | 0.685942i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −3.04474 | + | 4.34834i | −0.324571 | + | 0.463535i | ||||
\(89\) | −2.78132 | − | 4.81739i | −0.294820 | − | 0.510643i | 0.680123 | − | 0.733098i | \(-0.261926\pi\) |
−0.974943 | + | 0.222455i | \(0.928593\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −0.250538 | + | 0.433944i | −0.0262635 | + | 0.0454897i | ||||
\(92\) | −3.10676 | − | 6.66246i | −0.323902 | − | 0.694610i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −2.72350 | + | 3.24574i | −0.280907 | + | 0.334772i | ||||
\(95\) | −7.36765 | + | 4.71518i | −0.755905 | + | 0.483767i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −4.20036 | + | 1.95866i | −0.426482 | + | 0.198872i | −0.623995 | − | 0.781429i | \(-0.714491\pi\) |
0.197513 | + | 0.980300i | \(0.436714\pi\) | |||||||
\(98\) | 1.76129 | + | 6.57321i | 0.177917 | + | 0.663995i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −4.53718 | − | 0.378032i | −0.453718 | − | 0.0378032i | ||||
\(101\) | −11.1359 | + | 1.96356i | −1.10806 | + | 0.195381i | −0.697594 | − | 0.716493i | \(-0.745746\pi\) |
−0.410469 | + | 0.911875i | \(0.634635\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −4.47475 | − | 2.08661i | −0.440911 | − | 0.205600i | 0.189470 | − | 0.981887i | \(-0.439323\pi\) |
−0.630380 | + | 0.776287i | \(0.717101\pi\) | |||||||
\(104\) | 0.381463 | − | 2.16339i | 0.0374055 | − | 0.212137i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −6.68142 | + | 5.60638i | −0.648957 | + | 0.544540i | ||||
\(107\) | 11.1511 | + | 11.1511i | 1.07801 | + | 1.07801i | 0.996688 | + | 0.0813251i | \(0.0259152\pi\) |
0.0813251 | + | 0.996688i | \(0.474085\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | − | 20.3152i | − | 1.94584i | −0.231133 | − | 0.972922i | \(-0.574243\pi\) | ||
0.231133 | − | 0.972922i | \(-0.425757\pi\) | |||||||
\(110\) | −1.55284 | + | 3.77096i | −0.148058 | + | 0.359546i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 0.536441 | + | 0.766117i | 0.0506889 | + | 0.0723912i | ||||
\(113\) | −0.0516106 | + | 0.110679i | −0.00485512 | + | 0.0104118i | −0.908720 | − | 0.417405i | \(-0.862940\pi\) |
0.903865 | + | 0.427817i | \(0.140717\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −11.0190 | − | 14.2989i | −1.02753 | − | 1.33338i | ||||
\(116\) | −5.85416 | + | 3.37990i | −0.543545 | + | 0.313816i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 2.82975 | − | 0.758229i | 0.260500 | − | 0.0698006i | ||||
\(119\) | −1.99281 | − | 0.725323i | −0.182681 | − | 0.0664903i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 6.08755 | + | 5.10806i | 0.553414 | + | 0.464369i | ||||
\(122\) | −0.595068 | − | 6.80165i | −0.0538749 | − | 0.615793i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −1.37137 | + | 3.76782i | −0.123153 | + | 0.338360i | ||||
\(125\) | −11.0754 | + | 1.52813i | −0.990615 | + | 0.136680i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −16.0361 | − | 4.29687i | −1.42298 | − | 0.381286i | −0.536439 | − | 0.843939i | \(-0.680231\pi\) |
−0.886539 | + | 0.462654i | \(0.846897\pi\) | |||||||
\(128\) | 1.17328 | + | 0.821539i | 0.103704 | + | 0.0726144i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −0.0771050 | − | 1.68591i | −0.00676256 | − | 0.147864i | ||||
\(131\) | 22.1825 | + | 3.91138i | 1.93810 | + | 0.341739i | 0.999989 | − | 0.00460251i | \(-0.00146503\pi\) |
0.938109 | + | 0.346341i | \(0.112576\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −2.70042 | − | 0.236256i | −0.234156 | − | 0.0204860i | ||||
\(134\) | −11.7170 | −1.01220 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 9.29735 | 0.797241 | ||||||||
\(137\) | −5.19392 | − | 0.454409i | −0.443747 | − | 0.0388228i | −0.136907 | − | 0.990584i | \(-0.543716\pi\) |
−0.306840 | + | 0.951761i | \(0.599272\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 12.7974 | + | 2.25653i | 1.08546 | + | 0.191396i | 0.687630 | − | 0.726061i | \(-0.258651\pi\) |
0.397833 | + | 0.917458i | \(0.369762\pi\) | |||||||
\(140\) | −1.04221 | − | 0.951046i | −0.0880826 | − | 0.0803781i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 5.51571 | + | 3.86214i | 0.462868 | + | 0.324104i | ||||
\(143\) | 1.22048 | + | 0.327027i | 0.102062 | + | 0.0273474i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −12.2154 | + | 11.2399i | −1.01443 | + | 0.933425i | ||||
\(146\) | 2.98845 | − | 8.21069i | 0.247326 | − | 0.679522i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −0.878625 | − | 10.0427i | −0.0722225 | − | 0.825507i | ||||
\(149\) | 8.70742 | + | 7.30639i | 0.713340 | + | 0.598563i | 0.925534 | − | 0.378664i | \(-0.123617\pi\) |
−0.212194 | + | 0.977227i | \(0.568061\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −8.54652 | − | 3.11068i | −0.695506 | − | 0.253143i | −0.0300149 | − | 0.999549i | \(-0.509555\pi\) |
−0.665491 | + | 0.746406i | \(0.731778\pi\) | |||||||
\(152\) | 11.4792 | − | 3.07583i | 0.931083 | − | 0.249483i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −1.09448 | + | 0.631900i | −0.0881959 | + | 0.0509199i | ||||
\(155\) | −1.26498 | + | 9.76466i | −0.101606 | + | 0.784316i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 1.41498 | − | 3.03444i | 0.112928 | − | 0.242175i | −0.841718 | − | 0.539917i | \(-0.818456\pi\) |
0.954646 | + | 0.297742i | \(0.0962335\pi\) | |||||||
\(158\) | 0.975501 | + | 1.39316i | 0.0776067 | + | 0.110834i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 9.64984 | + | 3.97371i | 0.762887 | + | 0.314150i | ||||
\(161\) | − | 5.59421i | − | 0.440886i | ||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 9.97670 | + | 9.97670i | 0.781435 | + | 0.781435i | 0.980073 | − | 0.198638i | \(-0.0636517\pi\) |
−0.198638 | + | 0.980073i | \(0.563652\pi\) | |||||||
\(164\) | 2.94567 | − | 2.47171i | 0.230018 | − | 0.193008i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 0.324953 | − | 1.84290i | 0.0252213 | − | 0.143037i | ||||
\(167\) | 12.6150 | + | 5.88249i | 0.976182 | + | 0.455201i | 0.844187 | − | 0.536049i | \(-0.180084\pi\) |
0.131995 | + | 0.991250i | \(0.457862\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 12.2876 | − | 2.16663i | 0.945196 | − | 0.166664i | ||||
\(170\) | 6.97021 | − | 1.56040i | 0.534590 | − | 0.119677i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −1.52851 | − | 5.70447i | −0.116548 | − | 0.434962i | ||||
\(173\) | 2.81939 | − | 1.31470i | 0.214354 | − | 0.0999551i | −0.312476 | − | 0.949926i | \(-0.601158\pi\) |
0.526830 | + | 0.849971i | \(0.323380\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −3.00768 | − | 1.71992i | −0.227359 | − | 0.130014i | ||||
\(176\) | 1.51594 | − | 1.80663i | 0.114268 | − | 0.136180i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 2.45373 | + | 5.26205i | 0.183915 | + | 0.394407i | ||||
\(179\) | −2.53650 | + | 4.39334i | −0.189587 | + | 0.328374i | −0.945113 | − | 0.326745i | \(-0.894048\pi\) |
0.755526 | + | 0.655119i | \(0.227381\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −4.66805 | − | 8.08530i | −0.346974 | − | 0.600976i | 0.638737 | − | 0.769425i | \(-0.279457\pi\) |
−0.985710 | + | 0.168449i | \(0.946124\pi\) | |||||||
\(182\) | 0.299980 | − | 0.428416i | 0.0222360 | − | 0.0317563i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 8.38822 | + | 23.0464i | 0.618388 | + | 1.69901i | ||||
\(185\) | −7.49302 | − | 23.5944i | −0.550898 | − | 1.73470i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −0.466079 | + | 5.32731i | −0.0340831 | + | 0.389572i | ||||
\(188\) | −2.61375 | + | 2.61375i | −0.190628 | + | 0.190628i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 8.08968 | − | 4.23253i | 0.586887 | − | 0.307060i | ||||
\(191\) | −0.729528 | − | 0.869417i | −0.0527868 | − | 0.0629088i | 0.739005 | − | 0.673700i | \(-0.235296\pi\) |
−0.791792 | + | 0.610791i | \(0.790852\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 11.2910 | − | 7.90607i | 0.812746 | − | 0.569091i | −0.0916467 | − | 0.995792i | \(-0.529213\pi\) |
0.904393 | + | 0.426701i | \(0.140324\pi\) | |||||||
\(194\) | 4.54563 | − | 1.65447i | 0.326357 | − | 0.118784i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 1.03092 | + | 5.84663i | 0.0736371 | + | 0.417617i | ||||
\(197\) | −0.517983 | + | 1.93314i | −0.0369048 | + | 0.137730i | −0.981920 | − | 0.189295i | \(-0.939380\pi\) |
0.945015 | + | 0.327026i | \(0.106046\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 16.0030 | + | 9.23931i | 1.13442 | + | 0.654957i | 0.945043 | − | 0.326947i | \(-0.106020\pi\) |
0.189377 | + | 0.981905i | \(0.439353\pi\) | |||||||
\(200\) | 14.9697 | + | 2.57570i | 1.05851 | + | 0.182130i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 11.7575 | − | 1.02865i | 0.827256 | − | 0.0723755i | ||||
\(203\) | −5.12458 | + | 0.448343i | −0.359675 | + | 0.0314675i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 5.73284 | − | 7.50329i | 0.400399 | − | 0.524052i | ||||
\(206\) | 4.46295 | + | 2.57668i | 0.310948 | + | 0.179526i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −0.252600 | + | 0.942717i | −0.0175147 | + | 0.0653656i | ||||
\(209\) | 1.18697 | + | 6.73167i | 0.0821047 | + | 0.465639i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 15.7638 | − | 5.73754i | 1.08522 | − | 0.394989i | 0.263374 | − | 0.964694i | \(-0.415165\pi\) |
0.821849 | + | 0.569705i | \(0.192943\pi\) | |||||||
\(212\) | −6.23304 | + | 4.36442i | −0.428087 | + | 0.299750i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −10.5803 | − | 12.6091i | −0.723251 | − | 0.861937i | ||||
\(215\) | −6.72305 | − | 12.8498i | −0.458508 | − | 0.876352i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −2.15759 | + | 2.15759i | −0.146467 | + | 0.146467i | ||||
\(218\) | −1.84806 | + | 21.1234i | −0.125166 | + | 1.43066i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −1.63629 | + | 3.15923i | −0.110318 | + | 0.212995i | ||||
\(221\) | −0.756900 | − | 2.07957i | −0.0509146 | − | 0.139887i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 11.5264 | − | 16.4615i | 0.771868 | − | 1.10234i | −0.220054 | − | 0.975488i | \(-0.570623\pi\) |
0.991921 | − | 0.126854i | \(-0.0404879\pi\) | |||||||
\(224\) | 1.61703 | + | 2.80077i | 0.108042 | + | 0.187134i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 0.0637321 | − | 0.110387i | 0.00423940 | − | 0.00734285i | ||||
\(227\) | −1.96975 | − | 4.22414i | −0.130737 | − | 0.280366i | 0.830032 | − | 0.557715i | \(-0.188322\pi\) |
−0.960769 | + | 0.277349i | \(0.910544\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −15.6103 | + | 18.6036i | −1.03156 | + | 1.22936i | −0.0586205 | + | 0.998280i | \(0.518670\pi\) |
−0.972935 | + | 0.231080i | \(0.925774\pi\) | |||||||
\(230\) | 10.1566 | + | 15.8701i | 0.669706 | + | 1.04644i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 20.4394 | − | 9.53106i | 1.34191 | − | 0.625745i | ||||
\(233\) | −1.83322 | − | 6.84167i | −0.120098 | − | 0.448213i | 0.879519 | − | 0.475863i | \(-0.157864\pi\) |
−0.999618 | + | 0.0276501i | \(0.991198\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −4.86126 | + | 7.66562i | −0.317114 | + | 0.500050i | ||||
\(236\) | 2.51696 | − | 0.443808i | 0.163840 | − | 0.0288894i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 2.00610 | + | 0.935462i | 0.130036 | + | 0.0606370i | ||||
\(239\) | −2.01666 | + | 11.4370i | −0.130447 | + | 0.739799i | 0.847476 | + | 0.530833i | \(0.178121\pi\) |
−0.977923 | + | 0.208966i | \(0.932990\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 8.02324 | − | 6.73230i | 0.516822 | − | 0.433665i | −0.346700 | − | 0.937976i | \(-0.612698\pi\) |
0.863522 | + | 0.504311i | \(0.168253\pi\) | |||||||
\(242\) | −5.86505 | − | 5.86505i | −0.377020 | − | 0.377020i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | − | 5.95649i | − | 0.381325i | ||||||
\(245\) | 5.60692 | + | 13.4575i | 0.358213 | + | 0.859766i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −1.62250 | − | 2.31717i | −0.103237 | − | 0.147438i | ||||
\(248\) | 5.65342 | − | 12.1238i | 0.358993 | − | 0.769862i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 11.6550 | − | 0.581402i | 0.737128 | − | 0.0367711i | ||||
\(251\) | 9.75413 | − | 5.63155i | 0.615675 | − | 0.355460i | −0.159508 | − | 0.987197i | \(-0.550991\pi\) |
0.775183 | + | 0.631736i | \(0.217657\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −13.6259 | + | 3.65106i | −0.856656 | + | 0.229540i | ||||
\(254\) | 16.2832 | + | 5.92660i | 1.02170 | + | 0.371868i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −12.7442 | − | 10.6936i | −0.796511 | − | 0.668352i | ||||
\(257\) | −1.72895 | − | 19.7620i | −0.107849 | − | 1.23272i | −0.836551 | − | 0.547890i | \(-0.815431\pi\) |
0.728701 | − | 0.684832i | \(-0.240124\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 2.62385 | − | 7.20897i | 0.163038 | − | 0.447944i | ||||
\(260\) | 0.0611778 | − | 1.47107i | 0.00379408 | − | 0.0912318i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −22.7092 | − | 6.08491i | −1.40298 | − | 0.375927i | ||||
\(263\) | 13.8257 | + | 9.68085i | 0.852529 | + | 0.596947i | 0.916064 | − | 0.401033i | \(-0.131349\pi\) |
−0.0635351 | + | 0.997980i | \(0.520237\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −12.5951 | + | 13.8024i | −0.773713 | + | 0.847876i | ||||
\(266\) | 2.78635 | + | 0.491310i | 0.170842 | + | 0.0301241i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −10.1831 | − | 0.890909i | −0.622034 | − | 0.0544209i | ||||
\(269\) | −30.5994 | −1.86568 | −0.932838 | − | 0.360296i | \(-0.882676\pi\) | ||||
−0.932838 | + | 0.360296i | \(0.882676\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −5.21670 | −0.316892 | −0.158446 | − | 0.987368i | \(-0.550648\pi\) | ||||
−0.158446 | + | 0.987368i | \(0.550648\pi\) | |||||||
\(272\) | −4.11489 | − | 0.360006i | −0.249502 | − | 0.0218286i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 5.35921 | + | 0.944973i | 0.323761 | + | 0.0570879i | ||||
\(275\) | −2.22629 | + | 8.44838i | −0.134251 | + | 0.509457i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −9.56033 | − | 6.69422i | −0.574425 | − | 0.402216i | 0.249952 | − | 0.968258i | \(-0.419585\pi\) |
−0.824377 | + | 0.566042i | \(0.808474\pi\) | |||||||
\(278\) | −13.1012 | − | 3.51047i | −0.785760 | − | 0.210544i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 3.18730 | + | 3.46390i | 0.190478 | + | 0.207008i | ||||
\(281\) | −4.68215 | + | 12.8641i | −0.279313 | + | 0.767407i | 0.718127 | + | 0.695912i | \(0.244999\pi\) |
−0.997441 | + | 0.0714958i | \(0.977223\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 0.773481 | + | 8.84093i | 0.0459787 | + | 0.525539i | 0.983904 | + | 0.178700i | \(0.0571892\pi\) |
−0.937925 | + | 0.346838i | \(0.887255\pi\) | |||||||
\(284\) | 4.49999 | + | 3.77594i | 0.267025 | + | 0.224061i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −1.23928 | − | 0.451062i | −0.0732804 | − | 0.0266719i | ||||
\(287\) | 2.82653 | − | 0.757366i | 0.166845 | − | 0.0447059i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −6.61106 | + | 3.81690i | −0.388886 | + | 0.224524i | ||||
\(290\) | 13.7238 | − | 10.5758i | 0.805889 | − | 0.621035i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 3.22153 | − | 6.90860i | 0.188526 | − | 0.404295i | ||||
\(293\) | −6.47833 | − | 9.25201i | −0.378468 | − | 0.540508i | 0.584053 | − | 0.811716i | \(-0.301466\pi\) |
−0.962521 | + | 0.271207i | \(0.912577\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 5.79340 | − | 2.41377i | 0.337305 | − | 0.140535i | ||||
\(296\) | 33.6331i | 1.95488i | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −8.38915 | − | 8.38915i | −0.485971 | − | 0.485971i | ||||
\(299\) | 4.47198 | − | 3.75244i | 0.258621 | − | 0.217009i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0.780408 | − | 4.42591i | 0.0449820 | − | 0.255105i | ||||
\(302\) | 8.60353 | + | 4.01189i | 0.495078 | + | 0.230858i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −5.19963 | + | 0.916835i | −0.298219 | + | 0.0525841i | ||||
\(305\) | −3.19543 | − | 14.2738i | −0.182970 | − | 0.817314i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 2.20847 | + | 8.24213i | 0.126044 | + | 0.470403i | 0.999875 | − | 0.0158274i | \(-0.00503823\pi\) |
−0.873831 | + | 0.486230i | \(0.838372\pi\) | |||||||
\(308\) | −0.999250 | + | 0.465958i | −0.0569376 | + | 0.0265504i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 2.20359 | − | 10.0380i | 0.125155 | − | 0.570122i | ||||
\(311\) | 9.40563 | − | 11.2092i | 0.533344 | − | 0.635615i | −0.430338 | − | 0.902668i | \(-0.641606\pi\) |
0.963682 | + | 0.267053i | \(0.0860500\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −3.94117 | − | 8.45186i | −0.222768 | − | 0.477727i | 0.762880 | − | 0.646540i | \(-0.223785\pi\) |
−0.985648 | + | 0.168812i | \(0.946007\pi\) | |||||||
\(314\) | −1.74731 | + | 3.02644i | −0.0986067 | + | 0.170792i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 0.741868 | + | 1.28495i | 0.0417333 | + | 0.0722843i | ||||
\(317\) | −13.5519 | + | 19.3542i | −0.761152 | + | 1.08704i | 0.232283 | + | 0.972648i | \(0.425380\pi\) |
−0.993436 | + | 0.114390i | \(0.963509\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 4.43659 | + | 12.1894i | 0.248402 | + | 0.682478i | ||||
\(320\) | −15.0320 | − | 7.78564i | −0.840312 | − | 0.435231i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −0.508900 | + | 5.81676i | −0.0283599 | + | 0.324155i | ||||
\(323\) | 8.46556 | − | 8.46556i | 0.471036 | − | 0.471036i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −0.642570 | − | 3.55800i | −0.0356434 | − | 0.197362i | ||||
\(326\) | −9.46601 | − | 11.2812i | −0.524274 | − | 0.624805i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −10.5088 | + | 7.35834i | −0.580252 | + | 0.406297i | ||||
\(329\) | −2.64330 | + | 0.962081i | −0.145730 | + | 0.0530413i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 4.01625 | + | 22.7773i | 0.220753 | + | 1.25195i | 0.870639 | + | 0.491922i | \(0.163705\pi\) |
−0.649886 | + | 0.760032i | \(0.725183\pi\) | |||||||
\(332\) | 0.422540 | − | 1.57694i | 0.0231899 | − | 0.0865458i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −12.5818 | − | 7.26408i | −0.688443 | − | 0.397473i | ||||
\(335\) | −24.8802 | + | 3.32794i | −1.35935 | + | 0.181825i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −12.4168 | + | 1.08633i | −0.676384 | + | 0.0591760i | −0.420172 | − | 0.907445i | \(-0.638030\pi\) |
−0.256212 | + | 0.966621i | \(0.582475\pi\) | |||||||
\(338\) | −12.9735 | + | 1.13503i | −0.705663 | + | 0.0617375i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 6.17638 | − | 0.826146i | 0.334961 | − | 0.0448040i | ||||
\(341\) | 6.66344 | + | 3.84714i | 0.360846 | + | 0.208334i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −2.42474 | + | 9.04926i | −0.130924 | + | 0.488614i | ||||
\(344\) | 3.42137 | + | 19.4036i | 0.184468 | + | 1.04617i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −3.05115 | + | 1.11053i | −0.164031 | + | 0.0597023i | ||||
\(347\) | −9.36840 | + | 6.55983i | −0.502922 | + | 0.352150i | −0.797343 | − | 0.603526i | \(-0.793762\pi\) |
0.294421 | + | 0.955676i | \(0.404873\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −15.6113 | − | 18.6048i | −0.835652 | − | 0.995891i | −0.999955 | − | 0.00948135i | \(-0.996982\pi\) |
0.164303 | − | 0.986410i | \(-0.447462\pi\) | |||||||
\(350\) | 2.97087 | + | 2.06195i | 0.158800 | + | 0.110216i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 5.76654 | − | 5.76654i | 0.307358 | − | 0.307358i | ||||
\(353\) | 2.92059 | − | 33.3825i | 0.155447 | − | 1.77677i | −0.373024 | − | 0.927822i | \(-0.621679\pi\) |
0.528472 | − | 0.848951i | \(-0.322765\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 12.8091 | + | 6.63436i | 0.679839 | + | 0.352115i | ||||
\(356\) | 1.73241 | + | 4.75976i | 0.0918177 | + | 0.252267i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 3.03706 | − | 4.33737i | 0.160514 | − | 0.229237i | ||||
\(359\) | −9.34241 | − | 16.1815i | −0.493073 | − | 0.854028i | 0.506895 | − | 0.862008i | \(-0.330793\pi\) |
−0.999968 | + | 0.00797981i | \(0.997460\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −1.84847 | + | 3.20165i | −0.0972881 | + | 0.168508i | ||||
\(362\) | 4.11824 | + | 8.83159i | 0.216450 | + | 0.464178i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0.293285 | − | 0.349523i | 0.0153723 | − | 0.0183200i | ||||
\(365\) | 4.01368 | − | 18.2836i | 0.210086 | − | 0.957006i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −6.45312 | + | 3.00914i | −0.336850 | + | 0.157076i | −0.583682 | − | 0.811983i | \(-0.698388\pi\) |
0.246831 | + | 0.969058i | \(0.420611\pi\) | |||||||
\(368\) | −2.82013 | − | 10.5249i | −0.147009 | − | 0.548647i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 5.64474 | + | 25.2147i | 0.293456 | + | 1.31085i | ||||
\(371\) | −5.70252 | + | 1.00551i | −0.296060 | + | 0.0522034i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −9.36399 | − | 4.36650i | −0.484849 | − | 0.226089i | 0.164794 | − | 0.986328i | \(-0.447304\pi\) |
−0.649643 | + | 0.760239i | \(0.725082\pi\) | |||||||
\(374\) | 0.969241 | − | 5.49684i | 0.0501183 | − | 0.284235i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 9.44698 | − | 7.92696i | 0.487191 | − | 0.408802i | ||||
\(377\) | −3.79582 | − | 3.79582i | −0.195495 | − | 0.195495i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 5.45309i | 0.280106i | 0.990144 | + | 0.140053i | \(0.0447273\pi\) | ||||
−0.990144 | + | 0.140053i | \(0.955273\pi\) | |||||||
\(380\) | 7.35248 | − | 3.06334i | 0.377174 | − | 0.157146i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 0.679459 | + | 0.970368i | 0.0347641 | + | 0.0496483i | ||||
\(383\) | 1.88914 | − | 4.05128i | 0.0965307 | − | 0.207011i | −0.852113 | − | 0.523359i | \(-0.824679\pi\) |
0.948643 | + | 0.316348i | \(0.102457\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −2.14457 | + | 1.65265i | −0.109298 | + | 0.0842270i | ||||
\(386\) | −12.4594 | + | 7.19344i | −0.634167 | + | 0.366137i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 4.07636 | − | 1.09226i | 0.206946 | − | 0.0554510i | ||||
\(389\) | 9.10172 | + | 3.31276i | 0.461476 | + | 0.167963i | 0.562287 | − | 0.826942i | \(-0.309922\pi\) |
−0.100811 | + | 0.994906i | \(0.532144\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 18.9268 | + | 15.8814i | 0.957168 | + | 0.803159i | ||||
\(392\) | −1.72627 | − | 19.7314i | −0.0871899 | − | 0.996586i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 0.714445 | − | 1.96292i | 0.0359932 | − | 0.0988906i | ||||
\(395\) | 2.46710 | + | 2.68120i | 0.124133 | + | 0.134906i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −0.981728 | − | 0.263053i | −0.0492715 | − | 0.0132023i | 0.234099 | − | 0.972213i | \(-0.424786\pi\) |
−0.283371 | + | 0.959010i | \(0.591453\pi\) | |||||||
\(398\) | −15.7991 | − | 11.0626i | −0.791936 | − | 0.554520i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −6.52565 | − | 1.71962i | −0.326282 | − | 0.0859810i | ||||
\(401\) | −8.07342 | − | 1.42356i | −0.403168 | − | 0.0710893i | −0.0316124 | − | 0.999500i | \(-0.510064\pi\) |
−0.371555 | + | 0.928411i | \(0.621175\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −3.17202 | − | 0.277515i | −0.158009 | − | 0.0138240i | ||||
\(404\) | 10.2965 | 0.512272 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 5.36923 | 0.266470 | ||||||||
\(407\) | −19.2715 | − | 1.68604i | −0.955253 | − | 0.0835738i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −28.0740 | − | 4.95021i | −1.38817 | − | 0.244772i | −0.570897 | − | 0.821021i | \(-0.693405\pi\) |
−0.817274 | + | 0.576249i | \(0.804516\pi\) | |||||||
\(410\) | −6.64346 | + | 7.28026i | −0.328097 | + | 0.359547i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 3.68278 | + | 2.57871i | 0.181438 | + | 0.127044i | ||||
\(413\) | 1.87866 | + | 0.503386i | 0.0924429 | + | 0.0247700i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 0.166580 | − | 4.00556i | 0.00817710 | − | 0.196625i | ||||
\(416\) | −1.15426 | + | 3.17132i | −0.0565925 | + | 0.155487i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −0.621820 | − | 7.10744i | −0.0304142 | − | 0.347636i | ||||
\(419\) | 19.6956 | + | 16.5265i | 0.962192 | + | 0.807375i | 0.981308 | − | 0.192443i | \(-0.0616409\pi\) |
−0.0191165 | + | 0.999817i | \(0.506085\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −12.0396 | − | 4.38206i | −0.586775 | − | 0.213569i | 0.0315356 | − | 0.999503i | \(-0.489960\pi\) |
−0.618310 | + | 0.785934i | \(0.712182\pi\) | |||||||
\(422\) | −16.9128 | + | 4.53177i | −0.823303 | + | 0.220603i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 21.9849 | − | 12.6930i | 1.06768 | − | 0.616427i | ||||
\(425\) | 14.3575 | − | 5.29312i | 0.696441 | − | 0.256754i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 1.91566 | − | 4.10815i | 0.0927054 | − | 0.198807i | ||||
\(428\) | −8.23645 | − | 11.7629i | −0.398124 | − | 0.568580i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 5.82156 | + | 13.9726i | 0.280741 | + | 0.673819i | ||||
\(431\) | − | 5.16823i | − | 0.248945i | −0.992223 | − | 0.124473i | \(-0.960276\pi\) | ||
0.992223 | − | 0.124473i | \(-0.0397239\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −2.74947 | − | 2.74947i | −0.132131 | − | 0.132131i | 0.637948 | − | 0.770079i | \(-0.279783\pi\) |
−0.770079 | + | 0.637948i | \(0.779783\pi\) | |||||||
\(434\) | 2.43970 | − | 2.04715i | 0.117109 | − | 0.0982663i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −3.21225 | + | 18.2176i | −0.153839 | + | 0.872464i | ||||
\(437\) | 28.6224 | + | 13.3468i | 1.36919 | + | 0.638465i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −31.6512 | + | 5.58095i | −1.51063 | + | 0.266364i | −0.866742 | − | 0.498757i | \(-0.833790\pi\) |
−0.643886 | + | 0.765122i | \(0.722679\pi\) | |||||||
\(440\) | 6.35692 | − | 10.0241i | 0.303054 | − | 0.477880i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 0.597834 | + | 2.23115i | 0.0284361 | + | 0.106125i | ||||
\(443\) | −13.9035 | + | 6.48333i | −0.660577 | + | 0.308032i | −0.723843 | − | 0.689965i | \(-0.757626\pi\) |
0.0632661 | + | 0.997997i | \(0.479848\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 6.70488 | + | 10.4766i | 0.317842 | + | 0.496640i | ||||
\(446\) | −13.4825 | + | 16.0678i | −0.638413 | + | 0.760831i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −2.21708 | − | 4.75455i | −0.104747 | − | 0.224631i | ||||
\(449\) | 1.37821 | − | 2.38713i | 0.0650416 | − | 0.112655i | −0.831671 | − | 0.555269i | \(-0.812615\pi\) |
0.896712 | + | 0.442614i | \(0.145949\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −3.68947 | − | 6.39034i | −0.173730 | − | 0.300910i | ||||
\(452\) | 0.0637823 | − | 0.0910905i | 0.00300007 | − | 0.00428454i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 1.66384 | + | 4.57137i | 0.0780879 | + | 0.214545i | ||||
\(455\) | 0.515303 | − | 0.994911i | 0.0241578 | − | 0.0466421i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −2.98806 | + | 34.1536i | −0.139775 | + | 1.59764i | 0.525335 | + | 0.850895i | \(0.323940\pi\) |
−0.665111 | + | 0.746745i | \(0.731616\pi\) | |||||||
\(458\) | 17.9236 | − | 17.9236i | 0.837515 | − | 0.837515i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 7.62030 | + | 14.5648i | 0.355298 | + | 0.679086i | ||||
\(461\) | 1.95614 | + | 2.33124i | 0.0911067 | + | 0.108577i | 0.809672 | − | 0.586883i | \(-0.199645\pi\) |
−0.718565 | + | 0.695460i | \(0.755201\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 22.0633 | − | 15.4489i | 1.02537 | − | 0.717970i | 0.0653361 | − | 0.997863i | \(-0.479188\pi\) |
0.960031 | + | 0.279894i | \(0.0902992\pi\) | |||||||
\(464\) | −9.41529 | + | 3.42689i | −0.437094 | + | 0.159089i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 1.28377 | + | 7.28061i | 0.0594694 | + | 0.337268i | ||||
\(467\) | −4.45355 | + | 16.6209i | −0.206086 | + | 0.769122i | 0.783030 | + | 0.621983i | \(0.213673\pi\) |
−0.989116 | + | 0.147138i | \(0.952994\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −6.73671 | − | 3.88944i | −0.311073 | − | 0.179598i | ||||
\(470\) | 5.75198 | − | 7.52834i | 0.265319 | − | 0.347257i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −8.49431 | + | 0.743156i | −0.390982 | + | 0.0342065i | ||||
\(473\) | −11.2896 | + | 0.987714i | −0.519098 | + | 0.0454152i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 15.9757 | − | 11.2851i | 0.733014 | − | 0.517797i | ||||
\(476\) | 1.67236 | + | 0.965535i | 0.0766523 | + | 0.0442552i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 3.13729 | − | 11.7085i | 0.143497 | − | 0.535536i | ||||
\(479\) | −6.03903 | − | 34.2490i | −0.275930 | − | 1.56488i | −0.735991 | − | 0.676991i | \(-0.763283\pi\) |
0.460061 | − | 0.887888i | \(-0.347828\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 7.52282 | − | 2.73808i | 0.343011 | − | 0.124846i | ||||
\(482\) | −8.95484 | + | 6.27025i | −0.407882 | + | 0.285602i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −4.65130 | − | 5.54320i | −0.211423 | − | 0.251964i | ||||
\(485\) | 9.18238 | − | 4.80423i | 0.416951 | − | 0.218149i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −10.1713 | + | 10.1713i | −0.460908 | + | 0.460908i | −0.898953 | − | 0.438045i | \(-0.855671\pi\) |
0.438045 | + | 0.898953i | \(0.355671\pi\) | |||||||
\(488\) | −1.73199 | + | 19.7968i | −0.0784036 | + | 0.896157i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −4.60576 | − | 14.5029i | −0.208067 | − | 0.655173i | ||||
\(491\) | −10.0702 | − | 27.6677i | −0.454462 | − | 1.24863i | −0.929553 | − | 0.368688i | \(-0.879807\pi\) |
0.475091 | − | 0.879937i | \(-0.342415\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 13.0313 | − | 18.6107i | 0.586902 | − | 0.838183i | ||||
\(494\) | 1.47626 | + | 2.55695i | 0.0664199 | + | 0.115043i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −2.97158 | + | 5.14694i | −0.133428 | + | 0.231104i | ||||
\(497\) | 1.88923 | + | 4.05148i | 0.0847438 | + | 0.181734i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 11.3613 | − | 13.5399i | 0.508604 | − | 0.606130i | −0.449243 | − | 0.893410i | \(-0.648306\pi\) |
0.957847 | + | 0.287279i | \(0.0927507\pi\) | |||||||
\(500\) | 10.1735 | + | 0.380905i | 0.454971 | + | 0.0170346i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −10.6545 | + | 4.96826i | −0.475532 | + | 0.221744i | ||||
\(503\) | 3.36375 | + | 12.5537i | 0.149982 | + | 0.559742i | 0.999483 | + | 0.0321541i | \(0.0102367\pi\) |
−0.849501 | + | 0.527588i | \(0.823097\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 24.6740 | − | 5.52370i | 1.09798 | − | 0.245802i | ||||
\(506\) | 14.5001 | − | 2.55677i | 0.644610 | − | 0.113662i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 13.7009 | + | 6.38885i | 0.607880 | + | 0.283459i | ||||
\(509\) | 0.0644329 | − | 0.365417i | 0.00285594 | − | 0.0161968i | −0.983346 | − | 0.181741i | \(-0.941827\pi\) |
0.986202 | + | 0.165544i | \(0.0529380\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 4.44374 | − | 3.72874i | 0.196579 | − | 0.164950i | ||||
\(512\) | 10.2528 | + | 10.2528i | 0.453113 | + | 0.453113i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 20.7055i | 0.913279i | ||||||||
\(515\) | 10.2086 | + | 4.20379i | 0.449843 | + | 0.185241i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 4.06851 | + | 5.81043i | 0.178933 | + | 0.255542i | ||||
\(518\) | −3.38403 | + | 7.25707i | −0.148686 | + | 0.318857i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −0.631076 | + | 4.87140i | −0.0276745 | + | 0.213625i | ||||
\(521\) | 2.40696 | − | 1.38966i | 0.105451 | − | 0.0608820i | −0.446347 | − | 0.894860i | \(-0.647275\pi\) |
0.551798 | + | 0.833978i | \(0.313942\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 14.6842 | − | 3.93462i | 0.642096 | − | 0.172049i | 0.0769434 | − | 0.997035i | \(-0.475484\pi\) |
0.565153 | + | 0.824986i | \(0.308817\pi\) | |||||||
\(524\) | −19.2736 | − | 7.01503i | −0.841973 | − | 0.306453i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −13.4950 | − | 11.3237i | −0.588411 | − | 0.493736i | ||||
\(527\) | −1.17453 | − | 13.4249i | −0.0511633 | − | 0.584799i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −14.4247 | + | 39.6316i | −0.627162 | + | 1.72311i | ||||
\(530\) | 14.3518 | − | 13.2057i | 0.623401 | − | 0.573620i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 2.38424 | + | 0.638854i | 0.103370 | + | 0.0276978i | ||||
\(533\) | 2.50139 | + | 1.75149i | 0.108347 | + | 0.0758655i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −26.0477 | − | 23.7693i | −1.12614 | − | 1.02764i | ||||
\(536\) | 33.5852 | + | 5.92198i | 1.45066 | + | 0.255790i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 31.8166 | + | 2.78359i | 1.37171 | + | 0.120009i | ||||
\(539\) | 11.3925 | 0.490709 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −16.6575 | −0.716163 | −0.358081 | − | 0.933690i | \(-0.616569\pi\) | ||||
−0.358081 | + | 0.933690i | \(0.616569\pi\) | |||||||
\(542\) | 5.42423 | + | 0.474558i | 0.232990 | + | 0.0203840i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −14.0664 | − | 2.48028i | −0.603090 | − | 0.106341i | ||||
\(545\) | 2.07540 | + | 45.3788i | 0.0889002 | + | 1.94381i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 0.317541 | + | 0.222344i | 0.0135771 | + | 0.00950676i | 0.580345 | − | 0.814371i | \(-0.302918\pi\) |
−0.566768 | + | 0.823877i | \(0.691806\pi\) | |||||||
\(548\) | 4.58578 | + | 1.22876i | 0.195895 | + | 0.0524899i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 3.08340 | − | 8.58195i | 0.131477 | − | 0.365935i | ||||
\(551\) | 9.93246 | − | 27.2892i | 0.423137 | − | 1.16256i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0.0984086 | + | 1.12482i | 0.00418476 | + | 0.0478320i | ||||
\(554\) | 9.33168 | + | 7.83021i | 0.396465 | + | 0.332674i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −11.1192 | − | 4.04707i | −0.471561 | − | 0.171634i | ||||
\(557\) | −12.2853 | + | 3.29185i | −0.520546 | + | 0.139480i | −0.509519 | − | 0.860459i | \(-0.670177\pi\) |
−0.0110271 | + | 0.999939i | \(0.503510\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 4.06152 | − | 2.34492i | 0.171784 | − | 0.0991797i | ||||
\(560\) | −1.27653 | − | 1.65650i | −0.0539433 | − | 0.0699998i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 6.03864 | − | 12.9499i | 0.254725 | − | 0.546259i | ||||
\(563\) | 16.7779 | + | 23.9613i | 0.707102 | + | 1.00985i | 0.998580 | + | 0.0532691i | \(0.0169641\pi\) |
−0.291478 | + | 0.956578i | \(0.594147\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 0.103977 | − | 0.252500i | 0.00437436 | − | 0.0106228i | ||||
\(566\) | − | 9.26299i | − | 0.389353i | ||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −13.8580 | − | 13.8580i | −0.581470 | − | 0.581470i | ||||
\(569\) | 3.92124 | − | 3.29031i | 0.164387 | − | 0.137937i | −0.556884 | − | 0.830591i | \(-0.688003\pi\) |
0.721270 | + | 0.692654i | \(0.243559\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 1.16063 | − | 6.58228i | 0.0485710 | − | 0.275460i | −0.950844 | − | 0.309671i | \(-0.899781\pi\) |
0.999415 | + | 0.0342116i | \(0.0108920\pi\) | |||||||
\(572\) | −1.04275 | − | 0.486243i | −0.0435997 | − | 0.0203309i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −3.00787 | + | 0.530368i | −0.125546 | + | 0.0221372i | ||||
\(575\) | 26.0743 | + | 30.8141i | 1.08737 | + | 1.28504i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −11.9622 | − | 44.6435i | −0.497992 | − | 1.85853i | −0.512580 | − | 0.858640i | \(-0.671310\pi\) |
0.0145873 | − | 0.999894i | \(-0.495357\pi\) | |||||||
\(578\) | 7.22128 | − | 3.36734i | 0.300366 | − | 0.140063i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 12.7313 | − | 8.14786i | 0.528640 | − | 0.338321i | ||||
\(581\) | 0.798581 | − | 0.951712i | 0.0331307 | − | 0.0394837i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 6.17089 | + | 13.2335i | 0.255572 | + | 0.548076i | ||||
\(584\) | −12.7158 | + | 22.0244i | −0.526183 | + | 0.911376i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 5.89440 | + | 10.2094i | 0.243495 | + | 0.421746i | ||||
\(587\) | −1.01832 | + | 1.45431i | −0.0420306 | + | 0.0600260i | −0.839617 | − | 0.543178i | \(-0.817221\pi\) |
0.797587 | + | 0.603204i | \(0.206110\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −5.89151 | − | 16.1868i | −0.242755 | − | 0.666965i | ||||
\(590\) | −6.24344 | + | 1.98277i | −0.257039 | + | 0.0816293i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 1.30232 | − | 14.8856i | 0.0535250 | − | 0.611794i | ||||
\(593\) | −27.8118 | + | 27.8118i | −1.14209 | + | 1.14209i | −0.154028 | + | 0.988066i | \(0.549225\pi\) |
−0.988066 | + | 0.154028i | \(0.950775\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 4.52550 | + | 1.41659i | 0.185528 | + | 0.0580747i | ||||
\(596\) | −6.65306 | − | 7.92880i | −0.272520 | − | 0.324776i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −4.99124 | + | 3.49490i | −0.204107 | + | 0.142917i | ||||
\(599\) | −37.7245 | + | 13.7306i | −1.54138 | + | 0.561017i | −0.966376 | − | 0.257133i | \(-0.917222\pi\) |
−0.575005 | + | 0.818150i | \(0.695000\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 3.13840 | + | 17.7988i | 0.128018 | + | 0.726027i | 0.979469 | + | 0.201593i | \(0.0646119\pi\) |
−0.851451 | + | 0.524434i | \(0.824277\pi\) | |||||||
\(602\) | −1.21407 | + | 4.53099i | −0.0494820 | + | 0.184669i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 7.17219 | + | 4.14087i | 0.291832 | + | 0.168490i | ||||
\(605\) | −14.1198 | − | 10.7881i | −0.574052 | − | 0.438601i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −14.2779 | + | 1.24916i | −0.579522 | + | 0.0507016i | −0.373149 | − | 0.927772i | \(-0.621722\pi\) |
−0.206374 | + | 0.978473i | \(0.566166\pi\) | |||||||
\(608\) | −18.1879 | + | 1.59123i | −0.737616 | + | 0.0645330i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 2.02408 | + | 15.1323i | 0.0819525 | + | 0.612688i | ||||
\(611\) | −2.54213 | − | 1.46770i | −0.102844 | − | 0.0593767i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 7.34062 | − | 27.3956i | 0.296485 | − | 1.10650i | −0.643546 | − | 0.765408i | \(-0.722537\pi\) |
0.940031 | − | 0.341090i | \(-0.110796\pi\) | |||||||
\(614\) | −1.54655 | − | 8.77091i | −0.0624136 | − | 0.353965i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 3.45655 | − | 1.25808i | 0.139269 | − | 0.0506896i | ||||
\(617\) | −19.2569 | + | 13.4838i | −0.775255 | + | 0.542839i | −0.892921 | − | 0.450214i | \(-0.851348\pi\) |
0.117666 | + | 0.993053i | \(0.462459\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 5.35313 | + | 6.37961i | 0.215160 | + | 0.256418i | 0.862820 | − | 0.505512i | \(-0.168696\pi\) |
−0.647659 | + | 0.761930i | \(0.724252\pi\) | |||||||
\(620\) | 2.67836 | − | 8.55640i | 0.107566 | − | 0.343633i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −10.7995 | + | 10.7995i | −0.433020 | + | 0.433020i | ||||
\(623\) | −0.335951 | + | 3.83994i | −0.0134596 | + | 0.153844i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 24.5834 | − | 4.54490i | 0.983336 | − | 0.181796i | ||||
\(626\) | 3.32909 | + | 9.14661i | 0.133057 | + | 0.365572i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −1.74869 | + | 2.49739i | −0.0697803 | + | 0.0996566i | ||||
\(629\) | 16.9411 | + | 29.3428i | 0.675485 | + | 1.16997i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 10.7788 | − | 18.6694i | 0.429097 | − | 0.743218i | −0.567696 | − | 0.823238i | \(-0.692165\pi\) |
0.996793 | + | 0.0800204i | \(0.0254985\pi\) | |||||||
\(632\) | −2.09201 | − | 4.48633i | −0.0832158 | − | 0.178457i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 15.8517 | − | 18.8913i | 0.629550 | − | 0.750269i | ||||
\(635\) | 36.2594 | + | 7.95982i | 1.43891 | + | 0.315876i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −4.27285 | + | 1.99246i | −0.169296 | + | 0.0789442i | ||||
\(638\) | −3.50422 | − | 13.0779i | −0.138734 | − | 0.517761i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −2.70472 | − | 1.71524i | −0.106913 | − | 0.0678007i | ||||
\(641\) | 4.89330 | − | 0.862821i | 0.193274 | − | 0.0340794i | −0.0761733 | − | 0.997095i | \(-0.524270\pi\) |
0.269447 | + | 0.963015i | \(0.413159\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −20.7326 | − | 9.66776i | −0.817613 | − | 0.381259i | −0.0316243 | − | 0.999500i | \(-0.510068\pi\) |
−0.785989 | + | 0.618241i | \(0.787846\pi\) | |||||||
\(644\) | −0.884560 | + | 5.01659i | −0.0348566 | + | 0.197681i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −9.57243 | + | 8.03223i | −0.376622 | + | 0.316024i | ||||
\(647\) | 8.15287 | + | 8.15287i | 0.320522 | + | 0.320522i | 0.848967 | − | 0.528445i | \(-0.177225\pi\) |
−0.528445 | + | 0.848967i | \(0.677225\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | − | 4.90443i | − | 0.192516i | ||||||
\(650\) | 0.344464 | + | 3.75799i | 0.0135110 | + | 0.147401i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −7.36905 | − | 10.5241i | −0.288594 | − | 0.412155i | ||||
\(653\) | 15.6937 | − | 33.6553i | 0.614142 | − | 1.31703i | −0.315625 | − | 0.948884i | \(-0.602214\pi\) |
0.929767 | − | 0.368148i | \(-0.120008\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −49.9495 | − | 6.47082i | −1.95169 | − | 0.252836i | ||||
\(656\) | 4.93599 | − | 2.84980i | 0.192718 | − | 0.111266i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 2.83597 | − | 0.759896i | 0.110558 | − | 0.0296238i | ||||
\(659\) | −17.4051 | − | 6.33493i | −0.678005 | − | 0.246774i | −0.0200144 | − | 0.999800i | \(-0.506371\pi\) |
−0.657991 | + | 0.753026i | \(0.728593\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 32.6452 | + | 27.3925i | 1.26975 | + | 1.06545i | 0.994572 | + | 0.104053i | \(0.0331813\pi\) |
0.275178 | + | 0.961393i | \(0.411263\pi\) | |||||||
\(662\) | −2.10399 | − | 24.0488i | −0.0817740 | − | 0.934682i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −1.86287 | + | 5.11819i | −0.0722933 | + | 0.198624i | ||||
\(665\) | 6.05616 | + | 0.251859i | 0.234848 | + | 0.00976668i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 57.8896 | + | 15.5115i | 2.24149 | + | 0.600607i | ||||
\(668\) | −10.3824 | − | 7.26980i | −0.401705 | − | 0.281277i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 26.1727 | − | 1.19701i | 1.01114 | − | 0.0462444i | ||||
\(671\) | −11.2566 | − | 1.98484i | −0.434555 | − | 0.0766238i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 9.45392 | + | 0.827111i | 0.364422 | + | 0.0318828i | 0.267896 | − | 0.963448i | \(-0.413672\pi\) |
0.0965254 | + | 0.995331i | \(0.469227\pi\) | |||||||
\(674\) | 13.0095 | 0.501109 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −11.3614 | −0.436977 | ||||||||
\(677\) | 10.7923 | + | 0.944208i | 0.414783 | + | 0.0362888i | 0.292638 | − | 0.956223i | \(-0.405467\pi\) |
0.122146 | + | 0.992512i | \(0.461023\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 3.16272 | + | 0.557672i | 0.121374 | + | 0.0214015i | ||||
\(680\) | −20.7678 | + | 0.949814i | −0.796408 | + | 0.0364237i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −6.57855 | − | 4.60635i | −0.251906 | − | 0.176386i | ||||
\(683\) | 2.18859 | + | 0.586431i | 0.0837441 | + | 0.0224392i | 0.300448 | − | 0.953798i | \(-0.402864\pi\) |
−0.216704 | + | 0.976237i | \(0.569531\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 11.6483 | + | 0.484420i | 0.445057 | + | 0.0185087i | ||||
\(686\) | 3.34440 | − | 9.18868i | 0.127690 | − | 0.350825i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −0.762924 | − | 8.72026i | −0.0290862 | − | 0.332457i | ||||
\(689\) | −4.62889 | − | 3.88410i | −0.176347 | − | 0.147972i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 7.28698 | + | 2.65224i | 0.277210 | + | 0.100896i | 0.476884 | − | 0.878966i | \(-0.341766\pi\) |
−0.199674 | + | 0.979862i | \(0.563988\pi\) | |||||||
\(692\) | −2.73616 | + | 0.733152i | −0.104013 | + | 0.0278703i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 10.3378 | − | 5.96855i | 0.392419 | − | 0.226563i | ||||
\(695\) | −28.8165 | − | 3.73311i | −1.09307 | − | 0.141605i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −5.46187 | + | 11.7130i | −0.206883 | + | 0.443662i | ||||
\(698\) | 14.5398 | + | 20.7650i | 0.550341 | + | 0.785969i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 2.42517 | + | 2.01791i | 0.0916629 | + | 0.0762699i | ||||
\(701\) | 3.06270i | 0.115677i | 0.998326 | + | 0.0578383i | \(0.0184208\pi\) | ||||
−0.998326 | + | 0.0578383i | \(0.981579\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 30.6241 | + | 30.6241i | 1.15501 | + | 1.15501i | ||||
\(704\) | −10.1338 | + | 8.50324i | −0.381931 | + | 0.320478i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −6.07355 | + | 34.4448i | −0.228581 | + | 1.29635i | ||||
\(707\) | 7.10146 | + | 3.31146i | 0.267078 | + | 0.124540i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 45.6222 | − | 8.04442i | 1.71338 | − | 0.302114i | 0.771041 | − | 0.636785i | \(-0.219736\pi\) |
0.942335 | + | 0.334671i | \(0.108625\pi\) | |||||||
\(710\) | −12.7152 | − | 8.06351i | −0.477192 | − | 0.302618i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −4.37376 | − | 16.3231i | −0.163914 | − | 0.611734i | ||||
\(713\) | 32.2183 | − | 15.0236i | 1.20658 | − | 0.562640i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −2.75964 | − | 0.605807i | −0.103205 | − | 0.0226559i | ||||
\(716\) | 2.96927 | − | 3.53864i | 0.110967 | − | 0.132245i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 8.24204 | + | 17.6751i | 0.307590 | + | 0.659629i | ||||
\(719\) | 25.2485 | − | 43.7317i | 0.941610 | − | 1.63092i | 0.179211 | − | 0.983811i | \(-0.442646\pi\) |
0.762400 | − | 0.647106i | \(-0.224021\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 1.71065 | + | 2.96294i | 0.0637080 | + | 0.110346i | ||||
\(722\) | 2.21326 | − | 3.16086i | 0.0823690 | − | 0.117635i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 2.90761 | + | 7.98858i | 0.108060 | + | 0.296893i | ||||
\(725\) | 26.1376 | − | 26.3549i | 0.970726 | − | 0.978796i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −0.922993 | + | 10.5499i | −0.0342319 | + | 0.391273i | 0.959680 | + | 0.281095i | \(0.0906976\pi\) |
−0.993912 | + | 0.110178i | \(0.964858\pi\) | |||||||
\(728\) | −1.07638 | + | 1.07638i | −0.0398933 | + | 0.0398933i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −5.83659 | + | 18.6458i | −0.216022 | + | 0.690112i | ||||
\(731\) | 12.7586 | + | 15.2051i | 0.471893 | + | 0.562380i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −23.8946 | + | 16.7312i | −0.882569 | + | 0.617981i | −0.924518 | − | 0.381139i | \(-0.875532\pi\) |
0.0419494 | + | 0.999120i | \(0.486643\pi\) | |||||||
\(734\) | 6.98357 | − | 2.54181i | 0.257768 | − | 0.0938200i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −6.54274 | − | 37.1057i | −0.241169 | − | 1.36774i | ||||
\(737\) | −5.07689 | + | 18.9472i | −0.187010 | + | 0.697929i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 5.54415 | + | 3.20092i | 0.203945 | + | 0.117748i | 0.598494 | − | 0.801127i | \(-0.295766\pi\) |
−0.394549 | + | 0.918875i | \(0.629099\pi\) | |||||||
\(740\) | 2.98858 | + | 22.3430i | 0.109862 | + | 0.821346i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 6.02085 | − | 0.526756i | 0.221032 | − | 0.0193378i | ||||
\(743\) | −29.7334 | + | 2.60134i | −1.09081 | + | 0.0954338i | −0.618339 | − | 0.785911i | \(-0.712194\pi\) |
−0.472473 | + | 0.881345i | \(0.656639\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −20.1965 | − | 15.4310i | −0.739941 | − | 0.565347i | ||||
\(746\) | 9.33928 | + | 5.39204i | 0.341935 | + | 0.197416i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 1.26031 | − | 4.70355i | 0.0460816 | − | 0.171979i | ||||
\(749\) | −1.89758 | − | 10.7617i | −0.0693359 | − | 0.393224i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −9.53000 | + | 3.46864i | −0.347755 | + | 0.126572i | −0.509991 | − | 0.860180i | \(-0.670351\pi\) |
0.162237 | + | 0.986752i | \(0.448129\pi\) | |||||||
\(752\) | −4.48806 | + | 3.14257i | −0.163663 | + | 0.114598i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 3.60152 | + | 4.29213i | 0.131160 | + | 0.156310i | ||||
\(755\) | 19.4084 | + | 6.07531i | 0.706345 | + | 0.221103i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 6.39851 | − | 6.39851i | 0.232558 | − | 0.232558i | −0.581202 | − | 0.813760i | \(-0.697417\pi\) |
0.813760 | + | 0.581202i | \(0.197417\pi\) | |||||||
\(758\) | 0.496062 | − | 5.67002i | 0.0180178 | − | 0.205944i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −25.3271 | + | 8.04329i | −0.918712 | + | 0.291761i | ||||
\(761\) | −9.16585 | − | 25.1830i | −0.332262 | − | 0.912882i | −0.987522 | − | 0.157479i | \(-0.949663\pi\) |
0.655260 | − | 0.755403i | \(-0.272559\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −8.07441 | + | 11.5315i | −0.292313 | + | 0.417467i | ||||
\(764\) | 0.516728 | + | 0.895000i | 0.0186946 | + | 0.0323800i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −2.33284 | + | 4.04059i | −0.0842888 | + | 0.145993i | ||||
\(767\) | 0.857749 | + | 1.83945i | 0.0309715 | + | 0.0664186i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −8.41448 | + | 10.0280i | −0.303434 | + | 0.361619i | −0.896117 | − | 0.443817i | \(-0.853624\pi\) |
0.592684 | + | 0.805435i | \(0.298068\pi\) | |||||||
\(770\) | 2.38023 | − | 1.52331i | 0.0857774 | − | 0.0548962i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −11.3753 | + | 5.30439i | −0.409406 | + | 0.190909i | ||||
\(773\) | 3.35520 | + | 12.5218i | 0.120678 | + | 0.450377i | 0.999649 | − | 0.0264987i | \(-0.00843577\pi\) |
−0.878971 | + | 0.476876i | \(0.841769\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 1.82808 | − | 21.9409i | 0.0656667 | − | 0.788139i | ||||
\(776\) | −13.8656 | + | 2.44488i | −0.497747 | + | 0.0877662i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −9.16244 | − | 4.27252i | −0.328489 | − | 0.153177i | ||||
\(779\) | −2.86861 | + | 16.2687i | −0.102778 | + | 0.582886i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 8.63526 | − | 7.24584i | 0.308994 | − | 0.259277i | ||||
\(782\) | −18.2350 | − | 18.2350i | −0.652082 | − | 0.652082i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 8.79971i | 0.314275i | ||||||||
\(785\) | −2.85070 | + | 6.92269i | −0.101746 | + | 0.247081i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −7.17412 | − | 10.2457i | −0.255730 | − | 0.365220i | 0.670673 | − | 0.741753i | \(-0.266005\pi\) |
−0.926403 | + | 0.376533i | \(0.877116\pi\) | |||||||
\(788\) | 0.770169 | − | 1.65163i | 0.0274361 | − | 0.0588370i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −2.32133 | − | 3.01229i | −0.0825893 | − | 0.107172i | ||||
\(791\) | 0.0732857 | − | 0.0423115i | 0.00260574 | − | 0.00150443i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 4.56900 | − | 1.22426i | 0.162250 | − | 0.0434748i | ||||
\(794\) | 0.996853 | + | 0.362825i | 0.0353770 | + | 0.0128762i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −12.8897 | − | 10.8157i | −0.456862 | − | 0.383353i | ||||
\(797\) | −0.571540 | − | 6.53273i | −0.0202450 | − | 0.231401i | −0.999575 | − | 0.0291347i | \(-0.990725\pi\) |
0.979331 | − | 0.202267i | \(-0.0648307\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 4.24908 | − | 11.6743i | 0.150322 | − | 0.413006i | ||||
\(800\) | −21.9611 | − | 7.89039i | −0.776443 | − | 0.278967i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 8.26509 | + | 2.21462i | 0.291851 | + | 0.0782011i | ||||
\(803\) | −11.9824 | − | 8.39015i | −0.422849 | − | 0.296082i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0.571503 | + | 12.4960i | 0.0201429 | + | 0.440425i | ||||
\(806\) | 3.27296 | + | 0.577111i | 0.115285 | + | 0.0203279i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −34.2212 | − | 2.99397i | −1.20390 | − | 0.105327i | ||||
\(809\) | 21.1375 | 0.743156 | 0.371578 | − | 0.928402i | \(-0.378817\pi\) | ||||
0.371578 | + | 0.928402i | \(0.378817\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −48.6371 | −1.70788 | −0.853940 | − | 0.520371i | \(-0.825794\pi\) | ||||
−0.853940 | + | 0.520371i | \(0.825794\pi\) | |||||||
\(812\) | 4.66634 | + | 0.408252i | 0.163756 | + | 0.0143268i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 19.8848 | + | 3.50622i | 0.696961 | + | 0.122893i | ||||
\(815\) | −23.3045 | − | 21.2661i | −0.816321 | − | 0.744918i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 20.7829 | + | 14.5524i | 0.727103 | + | 0.509123i | ||||
\(818\) | 28.7405 | + | 7.70100i | 1.00489 | + | 0.269259i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −6.32732 | + | 5.82206i | −0.220960 | + | 0.203315i | ||||
\(821\) | −8.00089 | + | 21.9823i | −0.279233 | + | 0.767186i | 0.718217 | + | 0.695819i | \(0.244958\pi\) |
−0.997450 | + | 0.0713672i | \(0.977264\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −0.292711 | − | 3.34570i | −0.0102033 | − | 0.116624i | 0.989385 | − | 0.145318i | \(-0.0464206\pi\) |
−0.999588 | + | 0.0286943i | \(0.990865\pi\) | |||||||
\(824\) | −11.4901 | − | 9.64136i | −0.400277 | − | 0.335873i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −1.90760 | − | 0.694311i | −0.0663740 | − | 0.0241582i | ||||
\(827\) | 20.9358 | − | 5.60974i | 0.728010 | − | 0.195070i | 0.124267 | − | 0.992249i | \(-0.460342\pi\) |
0.603743 | + | 0.797179i | \(0.293675\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −4.62453 | + | 2.66997i | −0.160617 | + | 0.0927320i | −0.578154 | − | 0.815928i | \(-0.696227\pi\) |
0.417537 | + | 0.908660i | \(0.362893\pi\) | |||||||
\(830\) | −0.537589 | + | 4.14975i | −0.0186600 | + | 0.144040i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 2.31360 | − | 4.96154i | 0.0802097 | − | 0.172010i | ||||
\(833\) | −11.4448 | − | 16.3449i | −0.396540 | − | 0.566317i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −28.7796 | − | 11.8512i | −0.995959 | − | 0.410127i | ||||
\(836\) | − | 6.22428i | − | 0.215271i | ||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −18.9757 | − | 18.9757i | −0.655504 | − | 0.655504i | ||||
\(839\) | −0.256169 | + | 0.214952i | −0.00884395 | + | 0.00742095i | −0.647199 | − | 0.762321i | \(-0.724060\pi\) |
0.638355 | + | 0.769742i | \(0.279615\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 4.53398 | − | 25.7135i | 0.156344 | − | 0.886673i | ||||
\(842\) | 12.1199 | + | 5.65161i | 0.417680 | + | 0.194767i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −15.0433 | + | 2.65254i | −0.517813 | + | 0.0913043i | ||||
\(845\) | −27.2258 | + | 6.09496i | −0.936595 | + | 0.209673i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −1.42522 | − | 5.31901i | −0.0489713 | − | 0.182763i | ||||
\(848\) | −10.2217 | + | 4.76648i | −0.351016 | + | 0.163682i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −15.4102 | + | 4.19759i | −0.528565 | + | 0.143976i | ||||
\(851\) | −57.4510 | + | 68.4675i | −1.96940 | + | 2.34703i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 7.30797 | + | 15.6720i | 0.250220 | + | 0.536598i | 0.990794 | − | 0.135376i | \(-0.0432242\pi\) |
−0.740574 | + | 0.671974i | \(0.765446\pi\) | |||||||
\(854\) | −2.36558 | + | 4.09731i | −0.0809486 | + | 0.140207i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 23.9540 | + | 41.4895i | 0.818731 | + | 1.41808i | ||||
\(857\) | 6.28056 | − | 8.96957i | 0.214540 | − | 0.306395i | −0.697429 | − | 0.716654i | \(-0.745673\pi\) |
0.911969 | + | 0.410259i | \(0.134562\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −9.19021 | − | 25.2499i | −0.313566 | − | 0.861515i | −0.991930 | − | 0.126789i | \(-0.959533\pi\) |
0.678364 | − | 0.734726i | \(-0.262689\pi\) | |||||||
\(860\) | 3.99704 | + | 12.5861i | 0.136298 | + | 0.429183i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −0.470149 | + | 5.37383i | −0.0160133 | + | 0.183033i | ||||
\(863\) | −14.0569 | + | 14.0569i | −0.478502 | + | 0.478502i | −0.904652 | − | 0.426150i | \(-0.859869\pi\) |
0.426150 | + | 0.904652i | \(0.359869\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −6.16346 | + | 3.22473i | −0.209564 | + | 0.109644i | ||||
\(866\) | 2.60873 | + | 3.10897i | 0.0886484 | + | 0.105647i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 2.27597 | − | 1.59365i | 0.0772515 | − | 0.0540921i | ||||
\(869\) | 2.67551 | − | 0.973806i | 0.0907605 | − | 0.0330341i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −1.40960 | − | 7.99422i | −0.0477623 | − | 0.270874i | ||||
\(872\) | 15.9733 | − | 59.6132i | 0.540924 | − | 2.01876i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −28.5469 | − | 16.4815i | −0.965612 | − | 0.557496i | ||||
\(875\) | 6.89407 | + | 3.53459i | 0.233062 | + | 0.119491i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −31.0262 | + | 2.71444i | −1.04768 | + | 0.0916602i | −0.597974 | − | 0.801516i | \(-0.704027\pi\) |
−0.449708 | + | 0.893176i | \(0.648472\pi\) | |||||||
\(878\) | 33.4180 | − | 2.92369i | 1.12780 | − | 0.0986699i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −3.20164 | + | 4.19039i | −0.107927 | + | 0.141258i | ||||
\(881\) | 10.7039 | + | 6.17988i | 0.360623 | + | 0.208206i | 0.669354 | − | 0.742944i | \(-0.266571\pi\) |
−0.308731 | + | 0.951149i | \(0.599904\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −9.26338 | + | 34.5714i | −0.311738 | + | 1.16342i | 0.615251 | + | 0.788331i | \(0.289055\pi\) |
−0.926989 | + | 0.375089i | \(0.877612\pi\) | |||||||
\(884\) | 0.349925 | + | 1.98452i | 0.0117693 | + | 0.0667468i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 15.0464 | − | 5.47645i | 0.505494 | − | 0.183985i | ||||
\(887\) | −1.91991 | + | 1.34433i | −0.0644642 | + | 0.0451383i | −0.605364 | − | 0.795949i | \(-0.706973\pi\) |
0.540900 | + | 0.841087i | \(0.318084\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 7.39472 | + | 8.81269i | 0.248011 | + | 0.295568i | ||||
\(890\) | −6.01856 | − | 11.5033i | −0.201742 | − | 0.385593i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −12.9392 | + | 12.9392i | −0.433236 | + | 0.433236i | ||||
\(893\) | 1.38403 | − | 15.8196i | 0.0463149 | − | 0.529382i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 5.21703 | − | 10.0727i | 0.174386 | − | 0.336693i | ||||
\(896\) | −0.339458 | − | 0.932655i | −0.0113405 | − | 0.0311578i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −1.65019 | + | 2.35671i | −0.0550675 | + | 0.0786446i | ||||
\(899\) | −16.3445 | − | 28.3095i | −0.545120 | − | 0.944175i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 12.7870 | − | 22.1478i | 0.425997 | − | 0.737849i | ||||
\(902\) | 3.25491 | + | 6.98019i | 0.108377 | + | 0.232415i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −0.238471 | + | 0.284198i | −0.00793142 | + | 0.00945230i | ||||
\(905\) | 11.2532 | + | 17.5835i | 0.374068 | + | 0.584496i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 50.7113 | − | 23.6471i | 1.68384 | − | 0.785188i | 0.685472 | − | 0.728099i | \(-0.259596\pi\) |
0.998369 | − | 0.0570890i | \(-0.0181819\pi\) | |||||||
\(908\) | 1.09844 | + | 4.09944i | 0.0364530 | + | 0.136045i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −0.626309 | + | 0.987613i | −0.0207619 | + | 0.0327391i | ||||
\(911\) | 26.4465 | − | 4.66323i | 0.876211 | − | 0.154500i | 0.282587 | − | 0.959242i | \(-0.408808\pi\) |
0.593625 | + | 0.804742i | \(0.297696\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −2.83930 | − | 1.32399i | −0.0939671 | − | 0.0438176i | ||||
\(914\) | 6.21385 | − | 35.2405i | 0.205536 | − | 1.16565i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 16.9401 | − | 14.2144i | 0.559715 | − | 0.469657i | ||||
\(917\) | −11.0368 | − | 11.0368i | −0.364467 | − | 0.364467i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 30.8687i | 1.01826i | 0.860688 | + | 0.509132i | \(0.170033\pi\) | ||||
−0.860688 | + | 0.509132i | \(0.829967\pi\) | |||||||
\(920\) | −21.0915 | − | 50.6227i | −0.695365 | − | 1.66898i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −1.82189 | − | 2.60193i | −0.0600008 | − | 0.0856900i | ||||
\(923\) | −1.97148 | + | 4.22786i | −0.0648921 | + | 0.139162i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 19.1478 | + | 51.9382i | 0.629576 | + | 1.70772i | ||||
\(926\) | −24.3463 | + | 14.0564i | −0.800070 | + | 0.461921i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −33.4663 | + | 8.96728i | −1.09859 | + | 0.294365i | ||||
\(929\) | 14.1178 | + | 5.13847i | 0.463191 | + | 0.168588i | 0.563065 | − | 0.826412i | \(-0.309622\pi\) |
−0.0998747 | + | 0.995000i | \(0.531844\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −19.5380 | − | 16.3943i | −0.640331 | − | 0.537301i | ||||
\(932\) | 0.562125 | + | 6.42512i | 0.0184130 | + | 0.210462i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 6.14270 | − | 16.8769i | 0.200995 | − | 0.552230i | ||||
\(935\) | 0.496860 | − | 11.9474i | 0.0162491 | − | 0.390722i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 44.9601 | + | 12.0470i | 1.46878 | + | 0.393559i | 0.902514 | − | 0.430660i | \(-0.141719\pi\) |
0.566270 | + | 0.824220i | \(0.308386\pi\) | |||||||
\(938\) | 6.65089 | + | 4.65700i | 0.217159 | + | 0.152057i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 5.57141 | − | 6.10545i | 0.181719 | − | 0.199138i | ||||
\(941\) | 13.0261 | + | 2.29686i | 0.424640 | + | 0.0748755i | 0.381884 | − | 0.924210i | \(-0.375275\pi\) |
0.0427555 | + | 0.999086i | \(0.486386\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −33.9623 | − | 2.97131i | −1.10596 | − | 0.0967593i | ||||
\(944\) | 3.78825 | 0.123297 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 11.8286 | 0.384581 | ||||||||
\(947\) | 33.5777 | + | 2.93767i | 1.09113 | + | 0.0954614i | 0.618488 | − | 0.785794i | \(-0.287745\pi\) |
0.472640 | + | 0.881255i | \(0.343301\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 5.96147 | + | 1.05117i | 0.193517 | + | 0.0341223i | ||||
\(950\) | −17.6378 | + | 10.2808i | −0.572246 | + | 0.333552i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −5.27742 | − | 3.69529i | −0.171042 | − | 0.119765i | ||||
\(953\) | −37.8969 | − | 10.1544i | −1.22760 | − | 0.328935i | −0.413956 | − | 0.910297i | \(-0.635853\pi\) |
−0.813645 | + | 0.581362i | \(0.802520\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 1.71839 | + | 1.86752i | 0.0556058 | + | 0.0604314i | ||||
\(956\) | 3.61686 | − | 9.93723i | 0.116977 | − | 0.321393i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 3.16367 | + | 36.1609i | 0.102213 | + | 1.16830i | ||||
\(959\) | 2.76760 | + | 2.32229i | 0.0893705 | + | 0.0749908i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 10.9101 | + | 3.97094i | 0.351938 | + | 0.128095i | ||||
\(962\) | −8.07116 | + | 2.16266i | −0.260225 | + | 0.0697270i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −8.25932 | + | 4.76852i | −0.266015 | + | 0.153584i | ||||
\(965\) | −24.4135 | + | 18.8135i | −0.785897 | + | 0.605629i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −10.7806 | + | 23.1190i | −0.346680 | + | 0.743457i | −0.999906 | − | 0.0137056i | \(-0.995637\pi\) |
0.653226 | + | 0.757163i | \(0.273415\pi\) | |||||||
\(968\) | 13.8471 | + | 19.7756i | 0.445061 | + | 0.635613i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −9.98470 | + | 4.16003i | −0.320590 | + | 0.133571i | ||||
\(971\) | − | 23.0327i | − | 0.739156i | −0.929200 | − | 0.369578i | \(-0.879502\pi\) | ||
0.929200 | − | 0.369578i | \(-0.120498\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −6.36728 | − | 6.36728i | −0.204126 | − | 0.204126i | ||||
\(974\) | 11.5013 | − | 9.65070i | 0.368524 | − | 0.309228i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 1.53312 | − | 8.69473i | 0.0490738 | − | 0.278312i | ||||
\(977\) | 0.251362 | + | 0.117212i | 0.00804177 | + | 0.00374994i | 0.426635 | − | 0.904424i | \(-0.359699\pi\) |
−0.418593 | + | 0.908174i | \(0.637477\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 9.57227 | − | 1.68785i | 0.305931 | − | 0.0539439i | ||||
\(980\) | −2.90009 | − | 12.9545i | −0.0926399 | − | 0.413816i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 7.95391 | + | 29.6844i | 0.253820 | + | 0.947268i | ||||
\(983\) | −7.55984 | + | 3.52521i | −0.241122 | + | 0.112437i | −0.539423 | − | 0.842035i | \(-0.681358\pi\) |
0.298302 | + | 0.954472i | \(0.403580\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 0.959547 | − | 4.37104i | 0.0305737 | − | 0.139273i | ||||
\(986\) | −15.2427 | + | 18.1656i | −0.485427 | + | 0.578510i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 1.08858 | + | 2.33447i | 0.0346324 | + | 0.0742694i | ||||
\(989\) | −26.1797 | + | 45.3445i | −0.832465 | + | 1.44187i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −3.48806 | − | 6.04150i | −0.110802 | − | 0.191914i | 0.805292 | − | 0.592878i | \(-0.202009\pi\) |
−0.916094 | + | 0.400964i | \(0.868675\pi\) | |||||||
\(992\) | −11.7876 | + | 16.8345i | −0.374257 | + | 0.534494i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −1.59583 | − | 4.38451i | −0.0506167 | − | 0.139068i | ||||
\(995\) | −36.6902 | − | 19.0033i | −1.16316 | − | 0.602445i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 4.81022 | − | 54.9810i | 0.152341 | − | 1.74127i | −0.407980 | − | 0.912991i | \(-0.633767\pi\) |
0.560321 | − | 0.828276i | \(-0.310678\pi\) | |||||||
\(998\) | −13.0450 | + | 13.0450i | −0.412933 | + | 0.412933i | ||||
\(999\) | 0 | 0 |
(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 | 405.2.r.a.368.6 | 192 | ||
3.2 | odd | 2 | 135.2.q.a.113.11 | yes | 192 | ||
5.2 | odd | 4 | inner | 405.2.r.a.287.11 | 192 | ||
15.2 | even | 4 | 135.2.q.a.32.6 | ✓ | 192 | ||
15.8 | even | 4 | 675.2.ba.b.32.11 | 192 | |||
15.14 | odd | 2 | 675.2.ba.b.518.6 | 192 | |||
27.11 | odd | 18 | inner | 405.2.r.a.278.11 | 192 | ||
27.16 | even | 9 | 135.2.q.a.38.6 | yes | 192 | ||
135.43 | odd | 36 | 675.2.ba.b.632.6 | 192 | |||
135.92 | even | 36 | inner | 405.2.r.a.197.6 | 192 | ||
135.97 | odd | 36 | 135.2.q.a.92.11 | yes | 192 | ||
135.124 | even | 18 | 675.2.ba.b.443.11 | 192 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
135.2.q.a.32.6 | ✓ | 192 | 15.2 | even | 4 | ||
135.2.q.a.38.6 | yes | 192 | 27.16 | even | 9 | ||
135.2.q.a.92.11 | yes | 192 | 135.97 | odd | 36 | ||
135.2.q.a.113.11 | yes | 192 | 3.2 | odd | 2 | ||
405.2.r.a.197.6 | 192 | 135.92 | even | 36 | inner | ||
405.2.r.a.278.11 | 192 | 27.11 | odd | 18 | inner | ||
405.2.r.a.287.11 | 192 | 5.2 | odd | 4 | inner | ||
405.2.r.a.368.6 | 192 | 1.1 | even | 1 | trivial | ||
675.2.ba.b.32.11 | 192 | 15.8 | even | 4 | |||
675.2.ba.b.443.11 | 192 | 135.124 | even | 18 | |||
675.2.ba.b.518.6 | 192 | 15.14 | odd | 2 | |||
675.2.ba.b.632.6 | 192 | 135.43 | odd | 36 |