Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [450,2,Mod(23,450)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(450, base_ring=CyclotomicField(60))
chi = DirichletCharacter(H, H._module([50, 33]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("450.23");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 450 = 2 \cdot 3^{2} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 450.w (of order \(60\), degree \(16\), 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: | \(3.59326809096\) |
Analytic rank: | \(0\) |
Dimension: | \(480\) |
Relative dimension: | \(30\) over \(\Q(\zeta_{60})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{60}]$ |
Embedding invariants
Embedding label | 23.8 | ||
Character | \(\chi\) | \(=\) | 450.23 |
Dual form | 450.2.w.a.137.8 |
$q$-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 \(\left(\mathbb{Z}/450\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{11}{20}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.358368 | − | 0.933580i | −0.253404 | − | 0.660141i | ||||
\(3\) | 0.0371786 | − | 1.73165i | 0.0214651 | − | 0.999770i | ||||
\(4\) | −0.743145 | + | 0.669131i | −0.371572 | + | 0.334565i | ||||
\(5\) | 1.91306 | − | 1.15766i | 0.855549 | − | 0.517723i | ||||
\(6\) | −1.62996 | + | 0.585859i | −0.665428 | + | 0.239176i | ||||
\(7\) | −2.33480 | − | 0.625609i | −0.882473 | − | 0.236458i | −0.210999 | − | 0.977486i | \(-0.567672\pi\) |
−0.671474 | + | 0.741028i | \(0.734338\pi\) | |||||||
\(8\) | 0.891007 | + | 0.453990i | 0.315018 | + | 0.160510i | ||||
\(9\) | −2.99724 | − | 0.128761i | −0.999079 | − | 0.0429202i | ||||
\(10\) | −1.76635 | − | 1.37113i | −0.558570 | − | 0.433589i | ||||
\(11\) | −0.173372 | + | 0.389400i | −0.0522736 | + | 0.117409i | −0.937794 | − | 0.347192i | \(-0.887135\pi\) |
0.885521 | + | 0.464600i | \(0.153802\pi\) | |||||||
\(12\) | 1.13107 | + | 1.31175i | 0.326512 | + | 0.378668i | ||||
\(13\) | −5.85826 | − | 2.24877i | −1.62479 | − | 0.623698i | −0.635822 | − | 0.771836i | \(-0.719339\pi\) |
−0.988967 | + | 0.148138i | \(0.952672\pi\) | |||||||
\(14\) | 0.252663 | + | 2.40393i | 0.0675270 | + | 0.642476i | ||||
\(15\) | −1.93354 | − | 3.35580i | −0.499239 | − | 0.866464i | ||||
\(16\) | 0.104528 | − | 0.994522i | 0.0261321 | − | 0.248630i | ||||
\(17\) | −0.266469 | + | 0.522975i | −0.0646282 | + | 0.126840i | −0.921061 | − | 0.389419i | \(-0.872676\pi\) |
0.856432 | + | 0.516259i | \(0.172676\pi\) | |||||||
\(18\) | 0.953905 | + | 2.84430i | 0.224837 | + | 0.670409i | ||||
\(19\) | 7.57112 | − | 2.46001i | 1.73693 | − | 0.564364i | 0.742511 | − | 0.669834i | \(-0.233635\pi\) |
0.994423 | + | 0.105470i | \(0.0336345\pi\) | |||||||
\(20\) | −0.647056 | + | 2.14040i | −0.144686 | + | 0.478608i | ||||
\(21\) | −1.17014 | + | 4.01981i | −0.255346 | + | 0.877194i | ||||
\(22\) | 0.425667 | + | 0.0223083i | 0.0907525 | + | 0.00475614i | ||||
\(23\) | −5.48055 | − | 4.43806i | −1.14277 | − | 0.925400i | −0.144828 | − | 0.989457i | \(-0.546263\pi\) |
−0.997946 | + | 0.0640569i | \(0.979596\pi\) | |||||||
\(24\) | 0.819280 | − | 1.52603i | 0.167235 | − | 0.311500i | ||||
\(25\) | 2.31963 | − | 4.42937i | 0.463927 | − | 0.885874i | ||||
\(26\) | 6.27504i | 1.23064i | ||||||||
\(27\) | −0.334402 | + | 5.18538i | −0.0643556 | + | 0.997927i | ||||
\(28\) | 2.15371 | − | 1.09737i | 0.407013 | − | 0.207384i | ||||
\(29\) | −6.09226 | + | 1.29495i | −1.13130 | + | 0.240466i | −0.735273 | − | 0.677771i | \(-0.762946\pi\) |
−0.396031 | + | 0.918237i | \(0.629613\pi\) | |||||||
\(30\) | −2.43999 | + | 3.00773i | −0.445479 | + | 0.549134i | ||||
\(31\) | 6.73665 | + | 1.43192i | 1.20994 | + | 0.257180i | 0.768345 | − | 0.640035i | \(-0.221080\pi\) |
0.441593 | + | 0.897216i | \(0.354414\pi\) | |||||||
\(32\) | −0.965926 | + | 0.258819i | −0.170753 | + | 0.0457532i | ||||
\(33\) | 0.667859 | + | 0.314697i | 0.116259 | + | 0.0547818i | ||||
\(34\) | 0.583733 | + | 0.0613528i | 0.100109 | + | 0.0105219i | ||||
\(35\) | −5.19088 | + | 1.50609i | −0.877418 | + | 0.254575i | ||||
\(36\) | 2.31354 | − | 1.90985i | 0.385590 | − | 0.318309i | ||||
\(37\) | −3.34735 | + | 0.530168i | −0.550301 | + | 0.0871591i | −0.425392 | − | 0.905009i | \(-0.639864\pi\) |
−0.124909 | + | 0.992168i | \(0.539864\pi\) | |||||||
\(38\) | −5.00986 | − | 6.18666i | −0.812707 | − | 1.00361i | ||||
\(39\) | −4.11190 | + | 10.0609i | −0.658430 | + | 1.61103i | ||||
\(40\) | 2.23012 | − | 0.162972i | 0.352613 | − | 0.0257682i | ||||
\(41\) | 0.272689 | + | 0.612470i | 0.0425869 | + | 0.0956518i | 0.933586 | − | 0.358353i | \(-0.116662\pi\) |
−0.890999 | + | 0.454005i | \(0.849995\pi\) | |||||||
\(42\) | 4.17216 | − | 0.348149i | 0.643778 | − | 0.0537206i | ||||
\(43\) | 1.20495 | − | 4.49693i | 0.183753 | − | 0.685776i | −0.811141 | − | 0.584851i | \(-0.801153\pi\) |
0.994894 | − | 0.100925i | \(-0.0321803\pi\) | |||||||
\(44\) | −0.131719 | − | 0.405389i | −0.0198574 | − | 0.0611147i | ||||
\(45\) | −5.88297 | + | 3.22346i | −0.876981 | + | 0.480525i | ||||
\(46\) | −2.17923 | + | 6.70699i | −0.321311 | + | 0.988892i | ||||
\(47\) | 8.87817 | + | 5.76555i | 1.29501 | + | 0.840992i | 0.993650 | − | 0.112517i | \(-0.0358912\pi\) |
0.301365 | + | 0.953509i | \(0.402558\pi\) | |||||||
\(48\) | −1.71828 | − | 0.217982i | −0.248012 | − | 0.0314630i | ||||
\(49\) | −1.00225 | − | 0.578650i | −0.143179 | − | 0.0826642i | ||||
\(50\) | −4.96645 | − | 0.578220i | −0.702363 | − | 0.0817726i | ||||
\(51\) | 0.895704 | + | 0.480875i | 0.125424 | + | 0.0673360i | ||||
\(52\) | 5.85826 | − | 2.24877i | 0.812394 | − | 0.311849i | ||||
\(53\) | 0.568162 | + | 1.11508i | 0.0780431 | + | 0.153168i | 0.926731 | − | 0.375726i | \(-0.122607\pi\) |
−0.848688 | + | 0.528894i | \(0.822607\pi\) | |||||||
\(54\) | 4.96081 | − | 1.54608i | 0.675081 | − | 0.210395i | ||||
\(55\) | 0.119122 | + | 0.945654i | 0.0160624 | + | 0.127512i | ||||
\(56\) | −1.79631 | − | 1.61740i | −0.240041 | − | 0.216134i | ||||
\(57\) | −3.97839 | − | 13.2020i | −0.526951 | − | 1.74865i | ||||
\(58\) | 3.39221 | + | 5.22354i | 0.445419 | + | 0.685885i | ||||
\(59\) | 1.98302 | − | 0.882899i | 0.258168 | − | 0.114944i | −0.273572 | − | 0.961852i | \(-0.588205\pi\) |
0.531740 | + | 0.846908i | \(0.321538\pi\) | |||||||
\(60\) | 3.68237 | + | 1.20005i | 0.475392 | + | 0.154926i | ||||
\(61\) | −2.82994 | − | 1.25997i | −0.362337 | − | 0.161323i | 0.217490 | − | 0.976063i | \(-0.430213\pi\) |
−0.579827 | + | 0.814740i | \(0.696880\pi\) | |||||||
\(62\) | −1.07739 | − | 6.80236i | −0.136828 | − | 0.863900i | ||||
\(63\) | 6.91741 | + | 2.17573i | 0.871511 | + | 0.274116i | ||||
\(64\) | 0.587785 | + | 0.809017i | 0.0734732 | + | 0.101127i | ||||
\(65\) | −13.8106 | + | 2.47984i | −1.71299 | + | 0.307586i | ||||
\(66\) | 0.0544559 | − | 0.736278i | 0.00670305 | − | 0.0906295i | ||||
\(67\) | 3.94980 | − | 2.56503i | 0.482545 | − | 0.313368i | −0.280342 | − | 0.959900i | \(-0.590448\pi\) |
0.762887 | + | 0.646532i | \(0.223781\pi\) | |||||||
\(68\) | −0.151913 | − | 0.566949i | −0.0184222 | − | 0.0687526i | ||||
\(69\) | −7.88894 | + | 9.32540i | −0.949716 | + | 1.12265i | ||||
\(70\) | 3.26630 | + | 4.30637i | 0.390397 | + | 0.514709i | ||||
\(71\) | 6.97675 | + | 2.26688i | 0.827987 | + | 0.269029i | 0.692197 | − | 0.721708i | \(-0.256643\pi\) |
0.135790 | + | 0.990738i | \(0.456643\pi\) | |||||||
\(72\) | −2.61210 | − | 1.47544i | −0.307839 | − | 0.173883i | ||||
\(73\) | 8.55347 | + | 1.35474i | 1.00111 | + | 0.158560i | 0.635411 | − | 0.772174i | \(-0.280831\pi\) |
0.365697 | + | 0.930734i | \(0.380831\pi\) | |||||||
\(74\) | 1.69454 | + | 2.93503i | 0.196986 | + | 0.341190i | ||||
\(75\) | −7.58388 | − | 4.18147i | −0.875711 | − | 0.482835i | ||||
\(76\) | −3.98037 | + | 6.89421i | −0.456580 | + | 0.790820i | ||||
\(77\) | 0.648402 | − | 0.800710i | 0.0738923 | − | 0.0912494i | ||||
\(78\) | 10.8662 | + | 0.233297i | 1.23035 | + | 0.0264157i | ||||
\(79\) | −3.66402 | − | 17.2379i | −0.412235 | − | 1.93941i | −0.334351 | − | 0.942449i | \(-0.608517\pi\) |
−0.0778834 | − | 0.996962i | \(-0.524816\pi\) | |||||||
\(80\) | −0.951352 | − | 2.02359i | −0.106364 | − | 0.226245i | ||||
\(81\) | 8.96684 | + | 0.771852i | 0.996316 | + | 0.0857614i | ||||
\(82\) | 0.474067 | − | 0.474067i | 0.0523520 | − | 0.0523520i | ||||
\(83\) | −0.844235 | − | 16.1090i | −0.0926668 | − | 1.76819i | −0.510703 | − | 0.859757i | \(-0.670615\pi\) |
0.418036 | − | 0.908430i | \(-0.362719\pi\) | |||||||
\(84\) | −1.82019 | − | 3.77028i | −0.198599 | − | 0.411371i | ||||
\(85\) | 0.0956563 | + | 1.30897i | 0.0103754 | + | 0.141977i | ||||
\(86\) | −4.63006 | + | 0.486639i | −0.499273 | + | 0.0524757i | ||||
\(87\) | 2.01590 | + | 10.5978i | 0.216127 | + | 1.13620i | ||||
\(88\) | −0.331260 | + | 0.268249i | −0.0353124 | + | 0.0285954i | ||||
\(89\) | 3.44012 | − | 2.49940i | 0.364652 | − | 0.264936i | −0.390338 | − | 0.920672i | \(-0.627642\pi\) |
0.754990 | + | 0.655736i | \(0.227642\pi\) | |||||||
\(90\) | 5.11763 | + | 4.33704i | 0.539445 | + | 0.457164i | ||||
\(91\) | 12.2710 | + | 8.91543i | 1.28635 | + | 0.934591i | ||||
\(92\) | 7.04249 | − | 0.369081i | 0.734230 | − | 0.0384794i | ||||
\(93\) | 2.73004 | − | 11.6123i | 0.283092 | − | 1.20414i | ||||
\(94\) | 2.20095 | − | 10.3547i | 0.227011 | − | 1.06800i | ||||
\(95\) | 11.6362 | − | 13.4710i | 1.19385 | − | 1.38209i | ||||
\(96\) | 0.412273 | + | 1.68227i | 0.0420774 | + | 0.171696i | ||||
\(97\) | 6.86242 | − | 10.5672i | 0.696773 | − | 1.07294i | −0.296261 | − | 0.955107i | \(-0.595740\pi\) |
0.993034 | − | 0.117829i | \(-0.0375936\pi\) | |||||||
\(98\) | −0.181041 | + | 1.14305i | −0.0182880 | + | 0.115466i | ||||
\(99\) | 0.569776 | − | 1.14480i | 0.0572647 | − | 0.115057i | ||||
\(100\) | 1.24000 | + | 4.84380i | 0.124000 | + | 0.484380i | ||||
\(101\) | −10.6438 | + | 6.14517i | −1.05909 | + | 0.611468i | −0.925181 | − | 0.379526i | \(-0.876087\pi\) |
−0.133912 | + | 0.990993i | \(0.542754\pi\) | |||||||
\(102\) | 0.127944 | − | 1.00854i | 0.0126684 | − | 0.0998605i | ||||
\(103\) | 0.256924 | − | 4.90241i | 0.0253155 | − | 0.483048i | −0.956325 | − | 0.292306i | \(-0.905577\pi\) |
0.981640 | − | 0.190742i | \(-0.0610894\pi\) | |||||||
\(104\) | −4.19882 | − | 4.66327i | −0.411729 | − | 0.457271i | ||||
\(105\) | 2.41503 | + | 9.04479i | 0.235683 | + | 0.882681i | ||||
\(106\) | 0.837407 | − | 0.930035i | 0.0813362 | − | 0.0903330i | ||||
\(107\) | 4.83336 | + | 4.83336i | 0.467259 | + | 0.467259i | 0.901025 | − | 0.433767i | \(-0.142816\pi\) |
−0.433767 | + | 0.901025i | \(0.642816\pi\) | |||||||
\(108\) | −3.22119 | − | 4.07725i | −0.309959 | − | 0.392333i | ||||
\(109\) | 7.60500 | − | 10.4674i | 0.728427 | − | 1.00259i | −0.270775 | − | 0.962643i | \(-0.587280\pi\) |
0.999202 | − | 0.0399508i | \(-0.0127201\pi\) | |||||||
\(110\) | 0.840154 | − | 0.450102i | 0.0801056 | − | 0.0429155i | ||||
\(111\) | 0.793617 | + | 5.81616i | 0.0753268 | + | 0.552045i | ||||
\(112\) | −0.866236 | + | 2.25662i | −0.0818516 | + | 0.213231i | ||||
\(113\) | −5.65691 | + | 14.7368i | −0.532158 | + | 1.38632i | 0.359304 | + | 0.933221i | \(0.383014\pi\) |
−0.891461 | + | 0.453097i | \(0.850319\pi\) | |||||||
\(114\) | −10.8994 | + | 8.44532i | −1.02082 | + | 0.790977i | ||||
\(115\) | −15.6224 | − | 2.14567i | −1.45680 | − | 0.200085i | ||||
\(116\) | 3.66094 | − | 5.03885i | 0.339910 | − | 0.467846i | ||||
\(117\) | 17.2690 | + | 7.49442i | 1.59652 | + | 0.692860i | ||||
\(118\) | −1.53491 | − | 1.53491i | −0.141300 | − | 0.141300i | ||||
\(119\) | 0.949331 | − | 1.05434i | 0.0870251 | − | 0.0966511i | ||||
\(120\) | −0.199298 | − | 3.86785i | −0.0181934 | − | 0.353085i | ||||
\(121\) | 7.23886 | + | 8.03957i | 0.658078 | + | 0.730870i | ||||
\(122\) | −0.162124 | + | 3.09351i | −0.0146780 | + | 0.280073i | ||||
\(123\) | 1.07072 | − | 0.449432i | 0.0965439 | − | 0.0405239i | ||||
\(124\) | −5.96445 | + | 3.44357i | −0.535623 | + | 0.309242i | ||||
\(125\) | −0.690109 | − | 11.1590i | −0.0617252 | − | 0.998093i | ||||
\(126\) | −0.447759 | − | 7.23767i | −0.0398895 | − | 0.644783i | ||||
\(127\) | 1.34503 | − | 8.49219i | 0.119352 | − | 0.753560i | −0.853322 | − | 0.521385i | \(-0.825416\pi\) |
0.972674 | − | 0.232175i | \(-0.0745843\pi\) | |||||||
\(128\) | 0.544639 | − | 0.838671i | 0.0481397 | − | 0.0741287i | ||||
\(129\) | −7.74232 | − | 2.25374i | −0.681674 | − | 0.198431i | ||||
\(130\) | 7.26439 | + | 12.0046i | 0.637129 | + | 1.05287i | ||||
\(131\) | 0.998664 | − | 4.69834i | 0.0872537 | − | 0.410496i | −0.912744 | − | 0.408531i | \(-0.866041\pi\) |
0.999998 | − | 0.00196514i | \(-0.000625523\pi\) | |||||||
\(132\) | −0.706890 | + | 0.213019i | −0.0615269 | + | 0.0185410i | ||||
\(133\) | −19.2161 | + | 1.00707i | −1.66625 | + | 0.0873243i | ||||
\(134\) | −3.81014 | − | 2.76823i | −0.329146 | − | 0.239139i | ||||
\(135\) | 5.36319 | + | 10.3071i | 0.461590 | + | 0.887093i | ||||
\(136\) | −0.474851 | + | 0.345000i | −0.0407182 | + | 0.0295835i | ||||
\(137\) | −2.61859 | + | 2.12050i | −0.223722 | + | 0.181166i | −0.734628 | − | 0.678470i | \(-0.762643\pi\) |
0.510906 | + | 0.859636i | \(0.329310\pi\) | |||||||
\(138\) | 11.5332 | + | 4.02303i | 0.981768 | + | 0.342463i | ||||
\(139\) | −7.97178 | + | 0.837868i | −0.676158 | + | 0.0710670i | −0.436382 | − | 0.899761i | \(-0.643740\pi\) |
−0.239775 | + | 0.970828i | \(0.577074\pi\) | |||||||
\(140\) | 2.84980 | − | 4.59262i | 0.240852 | − | 0.388147i | ||||
\(141\) | 10.3140 | − | 15.1595i | 0.868596 | − | 1.27666i | ||||
\(142\) | −0.383925 | − | 7.32573i | −0.0322183 | − | 0.614762i | ||||
\(143\) | 1.89133 | − | 1.89133i | 0.158161 | − | 0.158161i | ||||
\(144\) | −0.441352 | + | 2.96736i | −0.0367793 | + | 0.247280i | ||||
\(145\) | −10.1558 | + | 9.53010i | −0.843391 | + | 0.791432i | ||||
\(146\) | −1.80053 | − | 8.47085i | −0.149013 | − | 0.701053i | ||||
\(147\) | −1.03928 | + | 1.71404i | −0.0857185 | + | 0.141371i | ||||
\(148\) | 2.13281 | − | 2.63381i | 0.175316 | − | 0.216498i | ||||
\(149\) | 2.02710 | − | 3.51104i | 0.166067 | − | 0.287636i | −0.770967 | − | 0.636875i | \(-0.780227\pi\) |
0.937034 | + | 0.349239i | \(0.113560\pi\) | |||||||
\(150\) | −1.18592 | + | 8.57867i | −0.0968301 | + | 0.700446i | ||||
\(151\) | −0.203563 | − | 0.352582i | −0.0165657 | − | 0.0286927i | 0.857624 | − | 0.514278i | \(-0.171940\pi\) |
−0.874189 | + | 0.485585i | \(0.838607\pi\) | |||||||
\(152\) | 7.86274 | + | 1.24533i | 0.637752 | + | 0.101010i | ||||
\(153\) | 0.866009 | − | 1.53317i | 0.0700127 | − | 0.123949i | ||||
\(154\) | −0.979894 | − | 0.318387i | −0.0789621 | − | 0.0256563i | ||||
\(155\) | 14.5453 | − | 5.05942i | 1.16831 | − | 0.406382i | ||||
\(156\) | −3.67629 | − | 10.2281i | −0.294339 | − | 0.818901i | ||||
\(157\) | −0.000329741 | − | 0.00123061i | −2.63162e−5 | − | 9.82134e-5i | 0.965913 | − | 0.258868i | \(-0.0833495\pi\) |
−0.965939 | + | 0.258770i | \(0.916683\pi\) | |||||||
\(158\) | −14.7799 | + | 9.59816i | −1.17582 | + | 0.763588i | ||||
\(159\) | 1.95206 | − | 0.942402i | 0.154808 | − | 0.0747374i | ||||
\(160\) | −1.54825 | + | 1.61335i | −0.122400 | + | 0.127547i | ||||
\(161\) | 10.0195 | + | 13.7907i | 0.789649 | + | 1.08686i | ||||
\(162\) | −2.49284 | − | 8.64787i | −0.195856 | − | 0.679441i | ||||
\(163\) | 0.435144 | + | 2.74739i | 0.0340831 | + | 0.215193i | 0.998852 | − | 0.0479072i | \(-0.0152552\pi\) |
−0.964769 | + | 0.263100i | \(0.915255\pi\) | |||||||
\(164\) | −0.612470 | − | 0.272689i | −0.0478259 | − | 0.0212935i | ||||
\(165\) | 1.64197 | − | 0.171120i | 0.127827 | − | 0.0133217i | ||||
\(166\) | −14.7365 | + | 6.56109i | −1.14377 | + | 0.509240i | ||||
\(167\) | 13.2322 | + | 20.3758i | 1.02394 | + | 1.57673i | 0.798067 | + | 0.602569i | \(0.205856\pi\) |
0.225871 | + | 0.974157i | \(0.427477\pi\) | |||||||
\(168\) | −2.86756 | + | 3.05044i | −0.221237 | + | 0.235347i | ||||
\(169\) | 19.6013 | + | 17.6491i | 1.50779 | + | 1.35762i | ||||
\(170\) | 1.18775 | − | 0.558394i | 0.0910959 | − | 0.0428269i | ||||
\(171\) | −23.0092 | + | 6.39835i | −1.75956 | + | 0.489294i | ||||
\(172\) | 2.11358 | + | 4.14814i | 0.161159 | + | 0.316293i | ||||
\(173\) | 8.11813 | − | 3.11626i | 0.617210 | − | 0.236925i | −0.0296170 | − | 0.999561i | \(-0.509429\pi\) |
0.646827 | + | 0.762636i | \(0.276095\pi\) | |||||||
\(174\) | 9.17148 | − | 5.67992i | 0.695288 | − | 0.430594i | ||||
\(175\) | −8.18694 | + | 8.89053i | −0.618875 | + | 0.672061i | ||||
\(176\) | 0.369145 | + | 0.213126i | 0.0278253 | + | 0.0160650i | ||||
\(177\) | −1.45515 | − | 3.46673i | −0.109376 | − | 0.260576i | ||||
\(178\) | −3.56622 | − | 2.31593i | −0.267299 | − | 0.173586i | ||||
\(179\) | −6.33348 | + | 19.4925i | −0.473387 | + | 1.45693i | 0.374735 | + | 0.927132i | \(0.377734\pi\) |
−0.848121 | + | 0.529802i | \(0.822266\pi\) | |||||||
\(180\) | 2.21498 | − | 6.33197i | 0.165095 | − | 0.471957i | ||||
\(181\) | −1.84582 | − | 5.68085i | −0.137199 | − | 0.422254i | 0.858727 | − | 0.512434i | \(-0.171256\pi\) |
−0.995926 | + | 0.0901795i | \(0.971256\pi\) | |||||||
\(182\) | 3.92572 | − | 14.6510i | 0.290994 | − | 1.08600i | ||||
\(183\) | −2.28705 | + | 4.85363i | −0.169063 | + | 0.358791i | ||||
\(184\) | −2.86837 | − | 6.44246i | −0.211459 | − | 0.474944i | ||||
\(185\) | −5.78994 | + | 4.88935i | −0.425685 | + | 0.359472i | ||||
\(186\) | −11.8194 | + | 1.61276i | −0.866638 | + | 0.118253i | ||||
\(187\) | −0.157448 | − | 0.194432i | −0.0115138 | − | 0.0142183i | ||||
\(188\) | −10.4557 | + | 1.65602i | −0.762559 | + | 0.120777i | ||||
\(189\) | 4.02478 | − | 11.8976i | 0.292760 | − | 0.865427i | ||||
\(190\) | −16.7463 | − | 6.03575i | −1.21490 | − | 0.437880i | ||||
\(191\) | −12.6105 | − | 1.32542i | −0.912466 | − | 0.0959041i | −0.363353 | − | 0.931652i | \(-0.618368\pi\) |
−0.549114 | + | 0.835748i | \(0.685035\pi\) | |||||||
\(192\) | 1.42279 | − | 0.987761i | 0.102681 | − | 0.0712855i | ||||
\(193\) | 6.19830 | − | 1.66083i | 0.446163 | − | 0.119549i | −0.0287404 | − | 0.999587i | \(-0.509150\pi\) |
0.474904 | + | 0.880038i | \(0.342483\pi\) | |||||||
\(194\) | −12.3246 | − | 2.61967i | −0.884855 | − | 0.188082i | ||||
\(195\) | 3.78076 | + | 24.0073i | 0.270746 | + | 1.71920i | ||||
\(196\) | 1.13201 | − | 0.240616i | 0.0808578 | − | 0.0171869i | ||||
\(197\) | 1.87043 | − | 0.953031i | 0.133262 | − | 0.0679006i | −0.386088 | − | 0.922462i | \(-0.626174\pi\) |
0.519351 | + | 0.854561i | \(0.326174\pi\) | |||||||
\(198\) | −1.27295 | − | 0.121672i | −0.0904648 | − | 0.00864688i | ||||
\(199\) | − | 2.68228i | − | 0.190142i | −0.995471 | − | 0.0950709i | \(-0.969692\pi\) | ||
0.995471 | − | 0.0950709i | \(-0.0303078\pi\) | |||||||
\(200\) | 4.07770 | − | 2.89350i | 0.288337 | − | 0.204602i | ||||
\(201\) | −4.29489 | − | 6.93504i | −0.302938 | − | 0.489160i | ||||
\(202\) | 9.55139 | + | 7.73457i | 0.672034 | + | 0.544202i | ||||
\(203\) | 15.0344 | + | 0.787918i | 1.05521 | + | 0.0553010i | ||||
\(204\) | −0.987406 | + | 0.241983i | −0.0691322 | + | 0.0169422i | ||||
\(205\) | 1.23071 | + | 0.856013i | 0.0859563 | + | 0.0597865i | ||||
\(206\) | −4.66886 | + | 1.51701i | −0.325295 | + | 0.105695i | ||||
\(207\) | 15.8551 | + | 14.0076i | 1.10200 | + | 0.973595i | ||||
\(208\) | −2.84881 | + | 5.59111i | −0.197529 | + | 0.387673i | ||||
\(209\) | −0.354694 | + | 3.37469i | −0.0245347 | + | 0.233432i | ||||
\(210\) | 7.57857 | − | 5.49598i | 0.522971 | − | 0.379259i | ||||
\(211\) | −1.54533 | − | 14.7028i | −0.106385 | − | 1.01218i | −0.909314 | − | 0.416110i | \(-0.863393\pi\) |
0.802929 | − | 0.596074i | \(-0.203274\pi\) | |||||||
\(212\) | −1.16836 | − | 0.448492i | −0.0802434 | − | 0.0308026i | ||||
\(213\) | 4.18484 | − | 11.9970i | 0.286740 | − | 0.822022i | ||||
\(214\) | 2.78021 | − | 6.24445i | 0.190051 | − | 0.426862i | ||||
\(215\) | −2.90079 | − | 9.99785i | −0.197832 | − | 0.681848i | ||||
\(216\) | −2.65207 | + | 4.46839i | −0.180450 | + | 0.304036i | ||||
\(217\) | −14.8329 | − | 7.55776i | −1.00693 | − | 0.513054i | ||||
\(218\) | −12.4975 | − | 3.34870i | −0.846440 | − | 0.226803i | ||||
\(219\) | 2.66394 | − | 14.7613i | 0.180012 | − | 0.997474i | ||||
\(220\) | −0.721291 | − | 0.623049i | −0.0486294 | − | 0.0420060i | ||||
\(221\) | 2.73710 | − | 2.46449i | 0.184117 | − | 0.165780i | ||||
\(222\) | 5.14544 | − | 2.82523i | 0.345339 | − | 0.189617i | ||||
\(223\) | 6.18138 | + | 16.1031i | 0.413936 | + | 1.07834i | 0.969115 | + | 0.246609i | \(0.0793165\pi\) |
−0.555179 | + | 0.831731i | \(0.687350\pi\) | |||||||
\(224\) | 2.41717 | 0.161504 | ||||||||
\(225\) | −7.52281 | + | 12.9772i | −0.501521 | + | 0.865146i | ||||
\(226\) | 15.7852 | 1.05002 | ||||||||
\(227\) | 2.28867 | + | 5.96218i | 0.151904 | + | 0.395724i | 0.988324 | − | 0.152365i | \(-0.0486890\pi\) |
−0.836420 | + | 0.548089i | \(0.815356\pi\) | |||||||
\(228\) | 11.7904 | + | 7.14894i | 0.780837 | + | 0.473450i | ||||
\(229\) | −19.0949 | + | 17.1931i | −1.26183 | + | 1.13615i | −0.277324 | + | 0.960776i | \(0.589448\pi\) |
−0.984501 | + | 0.175377i | \(0.943886\pi\) | |||||||
\(230\) | 3.59542 | + | 15.3537i | 0.237075 | + | 1.01240i | ||||
\(231\) | −1.36244 | − | 1.15258i | −0.0896422 | − | 0.0758339i | ||||
\(232\) | −6.01614 | − | 1.61202i | −0.394979 | − | 0.105834i | ||||
\(233\) | −19.3334 | − | 9.85086i | −1.26657 | − | 0.645351i | −0.313931 | − | 0.949446i | \(-0.601646\pi\) |
−0.952642 | + | 0.304095i | \(0.901646\pi\) | |||||||
\(234\) | 0.807979 | − | 18.8078i | 0.0528193 | − | 1.22950i | ||||
\(235\) | 23.6591 | + | 0.751943i | 1.54335 | + | 0.0490513i | ||||
\(236\) | −0.882899 | + | 1.98302i | −0.0574719 | + | 0.129084i | ||||
\(237\) | −29.9862 | + | 5.70393i | −1.94781 | + | 0.370510i | ||||
\(238\) | −1.32452 | − | 0.508436i | −0.0858559 | − | 0.0329570i | ||||
\(239\) | −0.505475 | − | 4.80927i | −0.0326964 | − | 0.311086i | −0.998631 | − | 0.0523007i | \(-0.983345\pi\) |
0.965935 | − | 0.258785i | \(-0.0833221\pi\) | |||||||
\(240\) | −3.53953 | + | 1.57218i | −0.228476 | + | 0.101483i | ||||
\(241\) | −0.216914 | + | 2.06379i | −0.0139726 | + | 0.132941i | −0.999284 | − | 0.0378244i | \(-0.987957\pi\) |
0.985312 | + | 0.170765i | \(0.0546239\pi\) | |||||||
\(242\) | 4.91141 | − | 9.63918i | 0.315717 | − | 0.619630i | ||||
\(243\) | 1.66995 | − | 15.4988i | 0.107128 | − | 0.994245i | ||||
\(244\) | 2.94614 | − | 0.957260i | 0.188607 | − | 0.0612823i | ||||
\(245\) | −2.58725 | + | 0.0532743i | −0.165293 | + | 0.00340357i | ||||
\(246\) | −0.803294 | − | 0.838544i | −0.0512162 | − | 0.0534636i | ||||
\(247\) | −49.8856 | − | 2.61439i | −3.17414 | − | 0.166350i | ||||
\(248\) | 5.35232 | + | 4.33422i | 0.339873 | + | 0.275223i | ||||
\(249\) | −27.9265 | + | 0.863012i | −1.76977 | + | 0.0546912i | ||||
\(250\) | −10.1705 | + | 4.64331i | −0.643241 | + | 0.293669i | ||||
\(251\) | − | 1.49281i | − | 0.0942254i | −0.998890 | − | 0.0471127i | \(-0.984998\pi\) | ||
0.998890 | − | 0.0471127i | \(-0.0150020\pi\) | |||||||
\(252\) | −6.59648 | + | 3.01177i | −0.415539 | + | 0.189723i | ||||
\(253\) | 2.67836 | − | 1.36469i | 0.168387 | − | 0.0857974i | ||||
\(254\) | −8.41016 | + | 1.78763i | −0.527700 | + | 0.112166i | ||||
\(255\) | 2.27023 | − | 0.116978i | 0.142167 | − | 0.00732544i | ||||
\(256\) | −0.978148 | − | 0.207912i | −0.0611342 | − | 0.0129945i | ||||
\(257\) | −7.87496 | + | 2.11009i | −0.491226 | + | 0.131624i | −0.495925 | − | 0.868365i | \(-0.665171\pi\) |
0.00469885 | + | 0.999989i | \(0.498504\pi\) | |||||||
\(258\) | 0.670551 | + | 8.03575i | 0.0417467 | + | 0.500284i | ||||
\(259\) | 8.14709 | + | 0.856293i | 0.506235 | + | 0.0532075i | ||||
\(260\) | 8.60390 | − | 11.0839i | 0.533591 | − | 0.687397i | ||||
\(261\) | 18.4267 | − | 3.09682i | 1.14058 | − | 0.191689i | ||||
\(262\) | −4.74417 | + | 0.751403i | −0.293096 | + | 0.0464218i | ||||
\(263\) | −1.06753 | − | 1.31829i | −0.0658270 | − | 0.0812895i | 0.743169 | − | 0.669104i | \(-0.233322\pi\) |
−0.808996 | + | 0.587814i | \(0.799989\pi\) | |||||||
\(264\) | 0.452198 | + | 0.583599i | 0.0278308 | + | 0.0359180i | ||||
\(265\) | 2.37782 | + | 1.47548i | 0.146068 | + | 0.0906382i | ||||
\(266\) | 7.82661 | + | 17.5789i | 0.479880 | + | 1.07783i | ||||
\(267\) | −4.20019 | − | 6.05002i | −0.257047 | − | 0.370255i | ||||
\(268\) | −1.21893 | + | 4.54912i | −0.0744582 | + | 0.277882i | ||||
\(269\) | −1.69504 | − | 5.21678i | −0.103348 | − | 0.318073i | 0.885991 | − | 0.463702i | \(-0.153479\pi\) |
−0.989339 | + | 0.145629i | \(0.953479\pi\) | |||||||
\(270\) | 7.70050 | − | 8.70070i | 0.468638 | − | 0.529508i | ||||
\(271\) | −4.41591 | + | 13.5908i | −0.268248 | + | 0.825582i | 0.722680 | + | 0.691183i | \(0.242910\pi\) |
−0.990927 | + | 0.134398i | \(0.957090\pi\) | |||||||
\(272\) | 0.492257 | + | 0.319675i | 0.0298474 | + | 0.0193832i | ||||
\(273\) | 15.8946 | − | 20.9177i | 0.961987 | − | 1.26600i | ||||
\(274\) | 2.91807 | + | 1.68475i | 0.176287 | + | 0.101779i | ||||
\(275\) | 1.32264 | + | 1.67119i | 0.0797580 | + | 0.100777i | ||||
\(276\) | −0.377290 | − | 12.2089i | −0.0227102 | − | 0.734887i | ||||
\(277\) | −8.78589 | + | 3.37259i | −0.527893 | + | 0.202639i | −0.607694 | − | 0.794172i | \(-0.707905\pi\) |
0.0798003 | + | 0.996811i | \(0.474572\pi\) | |||||||
\(278\) | 3.63905 | + | 7.14203i | 0.218256 | + | 0.428351i | ||||
\(279\) | −20.0069 | − | 5.15921i | −1.19778 | − | 0.308874i | ||||
\(280\) | −5.30885 | − | 1.01468i | −0.317265 | − | 0.0606385i | ||||
\(281\) | 7.40111 | + | 6.66399i | 0.441513 | + | 0.397541i | 0.859683 | − | 0.510829i | \(-0.170661\pi\) |
−0.418169 | + | 0.908369i | \(0.637328\pi\) | |||||||
\(282\) | −17.8489 | − | 4.19626i | −1.06288 | − | 0.249884i | ||||
\(283\) | 4.44020 | + | 6.83731i | 0.263943 | + | 0.406436i | 0.945649 | − | 0.325190i | \(-0.105428\pi\) |
−0.681706 | + | 0.731626i | \(0.738762\pi\) | |||||||
\(284\) | −6.70157 | + | 2.98373i | −0.397665 | + | 0.177052i | ||||
\(285\) | −22.8944 | − | 20.6506i | −1.35615 | − | 1.22324i | ||||
\(286\) | −2.44350 | − | 1.08792i | −0.144487 | − | 0.0643299i | ||||
\(287\) | −0.253509 | − | 1.60060i | −0.0149642 | − | 0.0944802i | ||||
\(288\) | 2.92843 | − | 0.651368i | 0.172560 | − | 0.0383822i | ||||
\(289\) | 9.78985 | + | 13.4746i | 0.575874 | + | 0.792622i | ||||
\(290\) | 12.5366 | + | 6.06594i | 0.736176 | + | 0.356204i | ||||
\(291\) | −18.0436 | − | 12.2762i | −1.05773 | − | 0.719643i | ||||
\(292\) | −7.26297 | + | 4.71663i | −0.425033 | + | 0.276020i | ||||
\(293\) | −1.19211 | − | 4.44901i | −0.0696437 | − | 0.259914i | 0.922322 | − | 0.386423i | \(-0.126289\pi\) |
−0.991965 | + | 0.126509i | \(0.959623\pi\) | |||||||
\(294\) | 1.97264 | + | 0.355998i | 0.115046 | + | 0.0207622i | ||||
\(295\) | 2.77155 | − | 3.98472i | 0.161366 | − | 0.231999i | ||||
\(296\) | −3.22320 | − | 1.04728i | −0.187345 | − | 0.0608720i | ||||
\(297\) | −1.96121 | − | 1.02922i | −0.113801 | − | 0.0597212i | ||||
\(298\) | −4.00429 | − | 0.634217i | −0.231962 | − | 0.0367392i | ||||
\(299\) | 22.1263 | + | 38.3238i | 1.27960 | + | 2.21633i | ||||
\(300\) | 8.43388 | − | 1.96717i | 0.486930 | − | 0.113574i | ||||
\(301\) | −5.62664 | + | 9.74563i | −0.324314 | + | 0.561729i | ||||
\(302\) | −0.256213 | + | 0.316397i | −0.0147434 | + | 0.0182066i | ||||
\(303\) | 10.2456 | + | 18.6597i | 0.588593 | + | 1.07197i | ||||
\(304\) | −1.65513 | − | 7.78678i | −0.0949283 | − | 0.446603i | ||||
\(305\) | −6.87249 | + | 0.865713i | −0.393517 | + | 0.0495706i | ||||
\(306\) | −1.74169 | − | 0.259051i | −0.0995656 | − | 0.0148089i | ||||
\(307\) | −3.65318 | + | 3.65318i | −0.208498 | + | 0.208498i | −0.803629 | − | 0.595131i | \(-0.797100\pi\) |
0.595131 | + | 0.803629i | \(0.297100\pi\) | |||||||
\(308\) | 0.0539228 | + | 1.02891i | 0.00307254 | + | 0.0586275i | ||||
\(309\) | −8.47971 | − | 0.627168i | −0.482394 | − | 0.0356783i | ||||
\(310\) | −9.93595 | − | 11.7661i | −0.564324 | − | 0.668269i | ||||
\(311\) | 14.1556 | − | 1.48782i | 0.802693 | − | 0.0843664i | 0.305708 | − | 0.952125i | \(-0.401107\pi\) |
0.496985 | + | 0.867759i | \(0.334440\pi\) | |||||||
\(312\) | −8.23126 | + | 7.09753i | −0.466003 | + | 0.401818i | ||||
\(313\) | −9.72125 | + | 7.87212i | −0.549478 | + | 0.444958i | −0.863421 | − | 0.504483i | \(-0.831683\pi\) |
0.313944 | + | 0.949442i | \(0.398350\pi\) | |||||||
\(314\) | −0.00103071 | 0.000748851i | −5.81661e−5 | 4.22601e-5i | ||||||
\(315\) | 15.7522 | − | 3.84572i | 0.887536 | − | 0.216682i | ||||
\(316\) | 14.2573 | + | 10.3585i | 0.802035 | + | 0.582712i | ||||
\(317\) | 17.7528 | − | 0.930384i | 0.997096 | − | 0.0522556i | 0.453200 | − | 0.891409i | \(-0.350282\pi\) |
0.543895 | + | 0.839153i | \(0.316949\pi\) | |||||||
\(318\) | −1.57936 | − | 1.48467i | −0.0885663 | − | 0.0832564i | ||||
\(319\) | 0.551974 | − | 2.59683i | 0.0309046 | − | 0.145395i | ||||
\(320\) | 2.06104 | + | 0.867245i | 0.115216 | + | 0.0484804i | ||||
\(321\) | 8.54939 | − | 8.19000i | 0.477181 | − | 0.457121i | ||||
\(322\) | 9.28404 | − | 14.2962i | 0.517380 | − | 0.796695i | ||||
\(323\) | −0.730948 | + | 4.61502i | −0.0406710 | + | 0.256787i | ||||
\(324\) | −7.18013 | + | 5.42639i | −0.398896 | + | 0.301466i | ||||
\(325\) | −23.5497 | + | 20.7321i | −1.30630 | + | 1.15001i | ||||
\(326\) | 2.40897 | − | 1.39082i | 0.133421 | − | 0.0770304i | ||||
\(327\) | −17.8431 | − | 13.5584i | −0.986727 | − | 0.749780i | ||||
\(328\) | −0.0350877 | + | 0.669513i | −0.00193739 | + | 0.0369677i | ||||
\(329\) | −17.1218 | − | 19.0157i | −0.943956 | − | 1.04837i | ||||
\(330\) | −0.748184 | − | 1.47159i | −0.0411862 | − | 0.0810083i | ||||
\(331\) | 2.11769 | − | 2.35193i | 0.116399 | − | 0.129274i | −0.682129 | − | 0.731232i | \(-0.738946\pi\) |
0.798528 | + | 0.601958i | \(0.205612\pi\) | |||||||
\(332\) | 11.4064 | + | 11.4064i | 0.626007 | + | 0.626007i | ||||
\(333\) | 10.1011 | − | 1.15803i | 0.553535 | − | 0.0634597i | ||||
\(334\) | 14.2804 | − | 19.6553i | 0.781391 | − | 1.07549i | ||||
\(335\) | 4.58678 | − | 9.47960i | 0.250603 | − | 0.517926i | ||||
\(336\) | 3.87548 | + | 1.58392i | 0.211425 | + | 0.0864097i | ||||
\(337\) | 7.52386 | − | 19.6003i | 0.409851 | − | 1.06770i | −0.560958 | − | 0.827844i | \(-0.689567\pi\) |
0.970809 | − | 0.239854i | \(-0.0770996\pi\) | |||||||
\(338\) | 9.45238 | − | 24.6243i | 0.514142 | − | 1.33938i | ||||
\(339\) | 25.3086 | + | 10.3437i | 1.37458 | + | 0.561792i | ||||
\(340\) | −0.946956 | − | 0.908745i | −0.0513559 | − | 0.0492836i | ||||
\(341\) | −1.72554 | + | 2.37500i | −0.0934430 | + | 0.128613i | ||||
\(342\) | 14.2191 | + | 19.1880i | 0.768882 | + | 1.03757i | ||||
\(343\) | 13.9424 | + | 13.9424i | 0.752820 | + | 0.752820i | ||||
\(344\) | 3.11518 | − | 3.45976i | 0.167959 | − | 0.186538i | ||||
\(345\) | −4.29637 | + | 26.9728i | −0.231309 | + | 1.45217i | ||||
\(346\) | −5.81856 | − | 6.46216i | −0.312808 | − | 0.347408i | ||||
\(347\) | −0.697116 | + | 13.3018i | −0.0374232 | + | 0.714076i | 0.913911 | + | 0.405915i | \(0.133047\pi\) |
−0.951334 | + | 0.308162i | \(0.900286\pi\) | |||||||
\(348\) | −8.58943 | − | 6.52681i | −0.460442 | − | 0.349874i | ||||
\(349\) | 31.2004 | − | 18.0135i | 1.67012 | − | 0.964242i | 0.702547 | − | 0.711637i | \(-0.252046\pi\) |
0.967569 | − | 0.252605i | \(-0.0812874\pi\) | |||||||
\(350\) | 11.2340 | + | 4.45709i | 0.600480 | + | 0.238241i | ||||
\(351\) | 13.6198 | − | 29.6253i | 0.726969 | − | 1.58128i | ||||
\(352\) | 0.0666804 | − | 0.421003i | 0.00355408 | − | 0.0224396i | ||||
\(353\) | −0.630938 | + | 0.971560i | −0.0335815 | + | 0.0517109i | −0.855063 | − | 0.518525i | \(-0.826481\pi\) |
0.821481 | + | 0.570236i | \(0.193148\pi\) | |||||||
\(354\) | −2.71500 | + | 2.60086i | −0.144300 | + | 0.138234i | ||||
\(355\) | 15.9713 | − | 3.74003i | 0.847666 | − | 0.198500i | ||||
\(356\) | −0.884088 | + | 4.15931i | −0.0468566 | + | 0.220443i | ||||
\(357\) | −1.79045 | − | 1.68311i | −0.0947608 | − | 0.0890796i | ||||
\(358\) | 20.4675 | − | 1.07266i | 1.08174 | − | 0.0566916i | ||||
\(359\) | 3.53793 | + | 2.57046i | 0.186725 | + | 0.135663i | 0.677221 | − | 0.735780i | \(-0.263184\pi\) |
−0.490496 | + | 0.871444i | \(0.663184\pi\) | |||||||
\(360\) | −6.70518 | + | 0.201314i | −0.353394 | + | 0.0106102i | ||||
\(361\) | 35.8989 | − | 26.0821i | 1.88942 | − | 1.37274i | ||||
\(362\) | −4.64205 | + | 3.75905i | −0.243981 | + | 0.197572i | ||||
\(363\) | 14.1909 | − | 12.2363i | 0.744827 | − | 0.642239i | ||||
\(364\) | −15.0847 | + | 1.58547i | −0.790655 | + | 0.0831012i | ||||
\(365\) | 17.9317 | − | 7.31034i | 0.938587 | − | 0.382641i | ||||
\(366\) | 5.35086 | + | 0.395755i | 0.279694 | + | 0.0206864i | ||||
\(367\) | 1.10508 | + | 21.0862i | 0.0576847 | + | 1.10069i | 0.862138 | + | 0.506674i | \(0.169125\pi\) |
−0.804453 | + | 0.594016i | \(0.797542\pi\) | |||||||
\(368\) | −4.98662 | + | 4.98662i | −0.259946 | + | 0.259946i | ||||
\(369\) | −0.738452 | − | 1.87083i | −0.0384423 | − | 0.0973915i | ||||
\(370\) | 6.63953 | + | 3.65319i | 0.345173 | + | 0.189920i | ||||
\(371\) | −0.628943 | − | 2.95895i | −0.0326531 | − | 0.153621i | ||||
\(372\) | 5.74132 | + | 10.4564i | 0.297674 | + | 0.542138i | ||||
\(373\) | −20.4510 | + | 25.2548i | −1.05891 | + | 1.30765i | −0.109371 | + | 0.994001i | \(0.534884\pi\) |
−0.949540 | + | 0.313645i | \(0.898450\pi\) | |||||||
\(374\) | −0.125094 | + | 0.216669i | −0.00646845 | + | 0.0112037i | ||||
\(375\) | −19.3492 | + | 0.780152i | −0.999188 | + | 0.0402869i | ||||
\(376\) | 5.29300 | + | 9.16775i | 0.272966 | + | 0.472791i | ||||
\(377\) | 38.6021 | + | 6.11397i | 1.98811 | + | 0.314885i | ||||
\(378\) | −12.5498 | + | 0.506276i | −0.645490 | + | 0.0260400i | ||||
\(379\) | 10.1852 | + | 3.30938i | 0.523180 | + | 0.169992i | 0.558688 | − | 0.829378i | \(-0.311305\pi\) |
−0.0355079 | + | 0.999369i | \(0.511305\pi\) | |||||||
\(380\) | 0.366459 | + | 17.7970i | 0.0187990 | + | 0.912967i | ||||
\(381\) | −14.6555 | − | 2.64485i | −0.750825 | − | 0.135500i | ||||
\(382\) | 3.28183 | + | 12.2479i | 0.167913 | + | 0.626659i | ||||
\(383\) | −4.32014 | + | 2.80553i | −0.220749 | + | 0.143356i | −0.650276 | − | 0.759698i | \(-0.725347\pi\) |
0.429527 | + | 0.903054i | \(0.358680\pi\) | |||||||
\(384\) | −1.43204 | − | 0.974306i | −0.0730783 | − | 0.0497198i | ||||
\(385\) | 0.313483 | − | 2.28244i | 0.0159766 | − | 0.116324i | ||||
\(386\) | −3.77179 | − | 5.19142i | −0.191979 | − | 0.264236i | ||||
\(387\) | −4.19055 | + | 13.3232i | −0.213017 | + | 0.677257i | ||||
\(388\) | 1.97106 | + | 12.4448i | 0.100066 | + | 0.631790i | ||||
\(389\) | 34.6286 | + | 15.4177i | 1.75574 | + | 0.781706i | 0.990425 | + | 0.138050i | \(0.0440835\pi\) |
0.765315 | + | 0.643656i | \(0.222583\pi\) | |||||||
\(390\) | 21.0578 | − | 12.1331i | 1.06630 | − | 0.614382i | ||||
\(391\) | 3.78139 | − | 1.68358i | 0.191233 | − | 0.0851425i | ||||
\(392\) | −0.630310 | − | 0.970593i | −0.0318355 | − | 0.0490223i | ||||
\(393\) | −8.09877 | − | 1.90402i | −0.408529 | − | 0.0960449i | ||||
\(394\) | −1.56003 | − | 1.40466i | −0.0785933 | − | 0.0707657i | ||||
\(395\) | −26.9651 | − | 28.7354i | −1.35676 | − | 1.44584i | ||||
\(396\) | 0.342594 | + | 1.23201i | 0.0172160 | + | 0.0619107i | ||||
\(397\) | −13.4618 | − | 26.4202i | −0.675627 | − | 1.32599i | −0.933068 | − | 0.359699i | \(-0.882879\pi\) |
0.257441 | − | 0.966294i | \(-0.417121\pi\) | |||||||
\(398\) | −2.50412 | + | 0.961243i | −0.125520 | + | 0.0481828i | ||||
\(399\) | 1.02947 | + | 33.3130i | 0.0515381 | + | 1.66774i | ||||
\(400\) | −4.16264 | − | 2.76992i | −0.208132 | − | 0.138496i | ||||
\(401\) | −13.0363 | − | 7.52651i | −0.651002 | − | 0.375856i | 0.137838 | − | 0.990455i | \(-0.455985\pi\) |
−0.788840 | + | 0.614599i | \(0.789318\pi\) | |||||||
\(402\) | −4.93527 | + | 6.49492i | −0.246149 | + | 0.323937i | ||||
\(403\) | −36.2450 | − | 23.5378i | −1.80549 | − | 1.17250i | ||||
\(404\) | 3.79793 | − | 11.6888i | 0.188954 | − | 0.581540i | ||||
\(405\) | 18.0477 | − | 8.90398i | 0.896797 | − | 0.442442i | ||||
\(406\) | −4.65225 | − | 14.3182i | −0.230887 | − | 0.710598i | ||||
\(407\) | 0.373889 | − | 1.39537i | 0.0185330 | − | 0.0691661i | ||||
\(408\) | 0.579765 | + | 0.835104i | 0.0287026 | + | 0.0413438i | ||||
\(409\) | −6.57442 | − | 14.7664i | −0.325084 | − | 0.730151i | 0.674886 | − | 0.737922i | \(-0.264193\pi\) |
−0.999970 | + | 0.00777134i | \(0.997526\pi\) | |||||||
\(410\) | 0.358111 | − | 1.45573i | 0.0176858 | − | 0.0718934i | ||||
\(411\) | 3.57460 | + | 4.61333i | 0.176322 | + | 0.227559i | ||||
\(412\) | 3.08942 | + | 3.81511i | 0.152205 | + | 0.187957i | ||||
\(413\) | −5.18233 | + | 0.820800i | −0.255006 | + | 0.0403889i | ||||
\(414\) | 7.39528 | − | 19.8218i | 0.363458 | − | 0.974190i | ||||
\(415\) | −20.2638 | − | 29.8401i | −0.994712 | − | 1.46479i | ||||
\(416\) | 6.24067 | + | 0.655921i | 0.305974 | + | 0.0321592i | ||||
\(417\) | 1.15452 | + | 13.8355i | 0.0565369 | + | 0.677527i | ||||
\(418\) | 3.27766 | − | 0.878245i | 0.160315 | − | 0.0429564i | ||||
\(419\) | 29.5347 | + | 6.27779i | 1.44286 | + | 0.306690i | 0.861834 | − | 0.507191i | \(-0.169316\pi\) |
0.581031 | + | 0.813881i | \(0.302650\pi\) | |||||||
\(420\) | −7.84686 | − | 5.10562i | −0.382888 | − | 0.249129i | ||||
\(421\) | −3.68911 | + | 0.784144i | −0.179796 | + | 0.0382168i | −0.296930 | − | 0.954899i | \(-0.595963\pi\) |
0.117134 | + | 0.993116i | \(0.462629\pi\) | |||||||
\(422\) | −13.1725 | + | 6.71171i | −0.641226 | + | 0.326721i | ||||
\(423\) | −25.8676 | − | 18.4239i | −1.25773 | − | 0.895800i | ||||
\(424\) | 1.25149i | 0.0607775i | ||||||||
\(425\) | 1.69834 | + | 2.39340i | 0.0823815 | + | 0.116097i | ||||
\(426\) | −12.6999 | + | 0.392465i | −0.615312 | + | 0.0190150i | ||||
\(427\) | 5.81911 | + | 4.71223i | 0.281607 | + | 0.228041i | ||||
\(428\) | −6.82604 | − | 0.357737i | −0.329949 | − | 0.0172919i | ||||
\(429\) | −3.20481 | − | 3.34544i | −0.154730 | − | 0.161520i | ||||
\(430\) | −8.29425 | + | 6.29103i | −0.399984 | + | 0.303380i | ||||
\(431\) | −28.8508 | + | 9.37419i | −1.38969 | + | 0.451539i | −0.905844 | − | 0.423612i | \(-0.860762\pi\) |
−0.483850 | + | 0.875151i | \(0.660762\pi\) | |||||||
\(432\) | 5.12202 | + | 0.874590i | 0.246433 | + | 0.0420787i | ||||
\(433\) | 14.3579 | − | 28.1789i | 0.689995 | − | 1.35419i | −0.234169 | − | 0.972196i | \(-0.575237\pi\) |
0.924164 | − | 0.381996i | \(-0.124763\pi\) | |||||||
\(434\) | −1.74013 | + | 16.5562i | −0.0835288 | + | 0.794723i | ||||
\(435\) | 16.1252 | + | 17.9406i | 0.773146 | + | 0.860184i | ||||
\(436\) | 1.35243 | + | 12.8675i | 0.0647697 | + | 0.616242i | ||||
\(437\) | −52.4116 | − | 20.1189i | −2.50718 | − | 0.962418i | ||||
\(438\) | −14.7355 | + | 2.80297i | −0.704090 | + | 0.133931i | ||||
\(439\) | −6.39009 | + | 14.3524i | −0.304982 | + | 0.685002i | −0.999402 | − | 0.0345682i | \(-0.988994\pi\) |
0.694420 | + | 0.719570i | \(0.255661\pi\) | |||||||
\(440\) | −0.323179 | + | 0.896664i | −0.0154070 | + | 0.0427468i | ||||
\(441\) | 2.92947 | + | 1.86340i | 0.139499 | + | 0.0887333i | ||||
\(442\) | −3.28169 | − | 1.67211i | −0.156094 | − | 0.0795339i | ||||
\(443\) | 32.2018 | + | 8.62846i | 1.52996 | + | 0.409950i | 0.923005 | − | 0.384789i | \(-0.125726\pi\) |
0.606951 | + | 0.794739i | \(0.292392\pi\) | |||||||
\(444\) | −4.48154 | − | 3.79121i | −0.212684 | − | 0.179923i | ||||
\(445\) | 3.68772 | − | 8.76401i | 0.174815 | − | 0.415454i | ||||
\(446\) | 12.8183 | − | 11.5416i | 0.606964 | − | 0.546512i | ||||
\(447\) | −6.00454 | − | 3.64077i | −0.284005 | − | 0.172202i | ||||
\(448\) | −0.866236 | − | 2.25662i | −0.0409258 | − | 0.106615i | ||||
\(449\) | −3.91552 | −0.184785 | −0.0923925 | − | 0.995723i | \(-0.529451\pi\) | ||||
−0.0923925 | + | 0.995723i | \(0.529451\pi\) | |||||||
\(450\) | 14.8112 | + | 2.37255i | 0.698206 | + | 0.111843i | ||||
\(451\) | −0.285773 | −0.0134565 | ||||||||
\(452\) | −5.65691 | − | 14.7368i | −0.266079 | − | 0.693159i | ||||
\(453\) | −0.618117 | + | 0.339392i | −0.0290417 | + | 0.0159460i | ||||
\(454\) | 4.74599 | − | 4.27331i | 0.222740 | − | 0.200556i | ||||
\(455\) | 33.7964 | + | 2.85007i | 1.58440 | + | 0.133613i | ||||
\(456\) | 2.44881 | − | 13.5692i | 0.114676 | − | 0.635437i | ||||
\(457\) | 14.3808 | + | 3.85333i | 0.672707 | + | 0.180251i | 0.578974 | − | 0.815346i | \(-0.303453\pi\) |
0.0937332 | + | 0.995597i | \(0.470120\pi\) | |||||||
\(458\) | 22.8942 | + | 11.6652i | 1.06977 | + | 0.545077i | ||||
\(459\) | −2.62272 | − | 1.55663i | −0.122418 | − | 0.0726571i | ||||
\(460\) | 13.0455 | − | 8.85890i | 0.608248 | − | 0.413048i | ||||
\(461\) | −11.4524 | + | 25.7226i | −0.533393 | + | 1.19802i | 0.423052 | + | 0.906106i | \(0.360959\pi\) |
−0.956444 | + | 0.291914i | \(0.905708\pi\) | |||||||
\(462\) | −0.587766 | + | 1.68500i | −0.0273453 | + | 0.0783932i | ||||
\(463\) | 18.1410 | + | 6.96370i | 0.843086 | + | 0.323630i | 0.741298 | − | 0.671176i | \(-0.234210\pi\) |
0.101788 | + | 0.994806i | \(0.467544\pi\) | |||||||
\(464\) | 0.651041 | + | 6.19424i | 0.0302238 | + | 0.287560i | ||||
\(465\) | −8.22037 | − | 25.3755i | −0.381211 | − | 1.17676i | ||||
\(466\) | −2.26810 | + | 21.5795i | −0.105068 | + | 0.999652i | ||||
\(467\) | 2.45009 | − | 4.80857i | 0.113377 | − | 0.222514i | −0.827345 | − | 0.561694i | \(-0.810150\pi\) |
0.940721 | + | 0.339180i | \(0.110150\pi\) | |||||||
\(468\) | −17.8481 | + | 5.98579i | −0.825030 | + | 0.276693i | ||||
\(469\) | −10.8267 | + | 3.51781i | −0.499931 | + | 0.162438i | ||||
\(470\) | −7.77666 | − | 22.3571i | −0.358711 | − | 1.03126i | ||||
\(471\) | −0.00214325 | 0.000525245i | −9.87557e−5 | 2.42020e-5i | ||||||
\(472\) | 2.16772 | + | 0.113605i | 0.0997772 | + | 0.00522910i | ||||
\(473\) | 1.54220 | + | 1.24885i | 0.0709105 | + | 0.0574222i | ||||
\(474\) | 16.0712 | + | 25.9504i | 0.738173 | + | 1.19194i | ||||
\(475\) | 6.66594 | − | 39.2416i | 0.305854 | − | 1.80053i | ||||
\(476\) | 1.41875i | 0.0650285i | ||||||||
\(477\) | −1.55934 | − | 3.41532i | −0.0713972 | − | 0.156377i | ||||
\(478\) | −4.30869 | + | 2.19539i | −0.197075 | + | 0.100415i | ||||
\(479\) | −9.03408 | + | 1.92025i | −0.412778 | + | 0.0877386i | −0.409620 | − | 0.912256i | \(-0.634339\pi\) |
−0.00315812 | + | 0.999995i | \(0.501005\pi\) | |||||||
\(480\) | 2.73621 | + | 2.74102i | 0.124890 | + | 0.125110i | ||||
\(481\) | 20.8019 | + | 4.42157i | 0.948484 | + | 0.201606i | ||||
\(482\) | 2.00445 | − | 0.537092i | 0.0913004 | − | 0.0244639i | ||||
\(483\) | 24.2532 | − | 16.8376i | 1.10356 | − | 0.766138i | ||||
\(484\) | −10.7590 | − | 1.13082i | −0.489048 | − | 0.0514010i | ||||
\(485\) | 0.894996 | − | 28.1601i | 0.0406397 | − | 1.27868i | ||||
\(486\) | −15.0678 | + | 3.99522i | −0.683489 | + | 0.181227i | ||||
\(487\) | −28.9750 | + | 4.58919i | −1.31298 | + | 0.207956i | −0.773369 | − | 0.633956i | \(-0.781430\pi\) |
−0.539615 | + | 0.841912i | \(0.681430\pi\) | |||||||
\(488\) | −1.94948 | − | 2.40741i | −0.0882489 | − | 0.108978i | ||||
\(489\) | 4.77371 | − | 0.651374i | 0.215875 | − | 0.0294562i | ||||
\(490\) | 0.976924 | + | 2.39632i | 0.0441329 | + | 0.108254i | ||||
\(491\) | −7.32254 | − | 16.4467i | −0.330462 | − | 0.742229i | 0.669538 | − | 0.742778i | \(-0.266492\pi\) |
−1.00000 | 0.000548551i | \(0.999825\pi\) | ||||||||
\(492\) | −0.494974 | + | 1.05045i | −0.0223151 | + | 0.0473578i | ||||
\(493\) | 0.946172 | − | 3.53116i | 0.0426135 | − | 0.159036i | ||||
\(494\) | 15.4366 | + | 47.5091i | 0.694528 | + | 2.13754i | ||||
\(495\) | −0.235274 | − | 2.84969i | −0.0105748 | − | 0.128084i | ||||
\(496\) | 2.12825 | − | 6.55007i | 0.0955611 | − | 0.294107i | ||||
\(497\) | −14.8712 | − | 9.65744i | −0.667063 | − | 0.433196i | ||||
\(498\) | 10.8137 | + | 25.7623i | 0.484571 | + | 1.15444i | ||||
\(499\) | 16.4685 | + | 9.50809i | 0.737231 | + | 0.425641i | 0.821062 | − | 0.570839i | \(-0.193382\pi\) |
−0.0838306 | + | 0.996480i | \(0.526715\pi\) | |||||||
\(500\) | 7.97969 | + | 7.83100i | 0.356863 | + | 0.350213i | ||||
\(501\) | 35.7757 | − | 22.1560i | 1.59834 | − | 0.989858i | ||||
\(502\) | −1.39366 | + | 0.534976i | −0.0622021 | + | 0.0238771i | ||||
\(503\) | 2.33950 | + | 4.59153i | 0.104313 | + | 0.204726i | 0.937264 | − | 0.348621i | \(-0.113350\pi\) |
−0.832950 | + | 0.553348i | \(0.813350\pi\) | |||||||
\(504\) | 5.17569 | + | 5.07903i | 0.230544 | + | 0.226238i | ||||
\(505\) | −13.2481 | + | 24.0780i | −0.589535 | + | 1.07146i | ||||
\(506\) | −2.23389 | − | 2.01140i | −0.0993083 | − | 0.0894176i | ||||
\(507\) | 31.2909 | − | 33.2865i | 1.38968 | − | 1.47831i | ||||
\(508\) | 4.68283 | + | 7.21093i | 0.207767 | + | 0.319933i | ||||
\(509\) | 16.9454 | − | 7.54457i | 0.751090 | − | 0.334407i | 0.00476541 | − | 0.999989i | \(-0.498483\pi\) |
0.746325 | + | 0.665582i | \(0.231816\pi\) | |||||||
\(510\) | −0.922786 | − | 2.07752i | −0.0408617 | − | 0.0919942i | ||||
\(511\) | −19.1232 | − | 8.51418i | −0.845959 | − | 0.376645i | ||||
\(512\) | 0.156434 | + | 0.987688i | 0.00691349 | + | 0.0436501i | ||||
\(513\) | 10.2243 | + | 40.0818i | 0.451413 | + | 1.76965i | ||||
\(514\) | 4.79207 | + | 6.59572i | 0.211369 | + | 0.290925i | ||||
\(515\) | −5.18382 | − | 9.67605i | −0.228426 | − | 0.426378i | ||||
\(516\) | 7.26172 | − | 3.50577i | 0.319679 | − | 0.154333i | ||||
\(517\) | −3.78433 | + | 2.45757i | −0.166435 | + | 0.108084i | ||||
\(518\) | −2.12024 | − | 7.91283i | −0.0931578 | − | 0.347670i | ||||
\(519\) | −5.09446 | − | 14.1736i | −0.223622 | − | 0.622154i | ||||
\(520\) | −13.4311 | − | 4.06031i | −0.588993 | − | 0.178056i | ||||
\(521\) | −8.67687 | − | 2.81929i | −0.380141 | − | 0.123515i | 0.112713 | − | 0.993628i | \(-0.464046\pi\) |
−0.492853 | + | 0.870112i | \(0.664046\pi\) | |||||||
\(522\) | −9.49466 | − | 16.0930i | −0.415570 | − | 0.704370i | ||||
\(523\) | −34.9610 | − | 5.53728i | −1.52874 | − | 0.242128i | −0.665298 | − | 0.746578i | \(-0.731695\pi\) |
−0.863441 | + | 0.504450i | \(0.831695\pi\) | |||||||
\(524\) | 2.40165 | + | 4.15979i | 0.104917 | + | 0.181721i | ||||
\(525\) | 15.0909 | + | 14.5075i | 0.658622 | + | 0.633158i | ||||
\(526\) | −0.848164 | + | 1.46906i | −0.0369817 | + | 0.0640542i | ||||
\(527\) | −2.54397 | + | 3.14154i | −0.110817 | + | 0.136848i | ||||
\(528\) | 0.382784 | − | 0.631306i | 0.0166585 | − | 0.0274741i | ||||
\(529\) | 5.55807 | + | 26.1487i | 0.241655 | + | 1.13690i | ||||
\(530\) | 0.525347 | − | 2.74865i | 0.0228196 | − | 0.119394i | ||||
\(531\) | −6.05727 | + | 2.39092i | −0.262863 | + | 0.103757i | ||||
\(532\) | 13.6065 | − | 13.6065i | 0.589915 | − | 0.589915i | ||||
\(533\) | −0.220177 | − | 4.20123i | −0.00953692 | − | 0.181975i | ||||
\(534\) | −4.14297 | + | 6.08935i | −0.179284 | + | 0.263512i | ||||
\(535\) | 14.8419 | + | 3.65113i | 0.641673 | + | 0.157852i | ||||
\(536\) | 4.68380 | − | 0.492287i | 0.202309 | − | 0.0212636i | ||||
\(537\) | 33.5187 | + | 11.6921i | 1.44644 | + | 0.504551i | ||||
\(538\) | −4.26284 | + | 3.45198i | −0.183784 | + | 0.148825i | ||||
\(539\) | 0.399088 | − | 0.289955i | 0.0171900 | − | 0.0124892i | ||||
\(540\) | −10.8824 | − | 4.07099i | −0.468305 | − | 0.175187i | ||||
\(541\) | 20.3456 | + | 14.7820i | 0.874727 | + | 0.635527i | 0.931851 | − | 0.362841i | \(-0.118193\pi\) |
−0.0571240 | + | 0.998367i | \(0.518193\pi\) | |||||||
\(542\) | 14.2706 | − | 0.747891i | 0.612975 | − | 0.0321247i | ||||
\(543\) | −9.90588 | + | 2.98511i | −0.425102 | + | 0.128103i | ||||
\(544\) | 0.122033 | − | 0.574122i | 0.00523214 | − | 0.0246153i | ||||
\(545\) | 2.43115 | − | 28.8288i | 0.104139 | − | 1.23489i | ||||
\(546\) | −25.2245 | − | 7.34269i | −1.07951 | − | 0.314238i | ||||
\(547\) | 7.34607 | − | 11.3120i | 0.314095 | − | 0.483664i | −0.646000 | − | 0.763337i | \(-0.723559\pi\) |
0.960095 | + | 0.279673i | \(0.0902261\pi\) | |||||||
\(548\) | 0.527106 | − | 3.32802i | 0.0225168 | − | 0.142166i | ||||
\(549\) | 8.31977 | + | 4.14082i | 0.355079 | + | 0.176726i | ||||
\(550\) | 1.08620 | − | 1.83369i | 0.0463159 | − | 0.0781888i | ||||
\(551\) | −42.9396 | + | 24.7912i | −1.82929 | + | 1.05614i | ||||
\(552\) | −11.2627 | + | 4.72749i | −0.479374 | + | 0.201215i | ||||
\(553\) | −2.22939 | + | 42.5393i | −0.0948033 | + | 1.80895i | ||||
\(554\) | 6.29717 | + | 6.99371i | 0.267541 | + | 0.297134i | ||||
\(555\) | 8.25139 | + | 10.2079i | 0.350252 | + | 0.433303i | ||||
\(556\) | 5.36354 | − | 5.95682i | 0.227465 | − | 0.252625i | ||||
\(557\) | −20.8282 | − | 20.8282i | −0.882519 | − | 0.882519i | 0.111271 | − | 0.993790i | \(-0.464508\pi\) |
−0.993790 | + | 0.111271i | \(0.964508\pi\) | |||||||
\(558\) | 2.35331 | + | 20.5270i | 0.0996235 | + | 0.868977i | ||||
\(559\) | −17.1715 | + | 23.6345i | −0.726277 | + | 0.999634i | ||||
\(560\) | 0.955242 | + | 5.31987i | 0.0403663 | + | 0.224806i | ||||
\(561\) | −0.342543 | + | 0.265417i | −0.0144622 | + | 0.0112059i | ||||
\(562\) | 3.56905 | − | 9.29770i | 0.150551 | − | 0.392200i | ||||
\(563\) | 3.47413 | − | 9.05042i | 0.146417 | − | 0.381430i | −0.840684 | − | 0.541526i | \(-0.817847\pi\) |
0.987102 | + | 0.160096i | \(0.0511803\pi\) | |||||||
\(564\) | 2.47892 | + | 18.1672i | 0.104381 | + | 0.764975i | ||||
\(565\) | 6.23816 | + | 34.7412i | 0.262442 | + | 1.46157i | ||||
\(566\) | 4.79195 | − | 6.59556i | 0.201421 | − | 0.277232i | ||||
\(567\) | −20.4529 | − | 7.41186i | −0.858943 | − | 0.311269i | ||||
\(568\) | 5.18718 | + | 5.18718i | 0.217649 | + | 0.217649i | ||||
\(569\) | −8.25301 | + | 9.16590i | −0.345984 | + | 0.384254i | −0.890872 | − | 0.454255i | \(-0.849906\pi\) |
0.544888 | + | 0.838509i | \(0.316572\pi\) | |||||||
\(570\) | −11.0744 | + | 28.7743i | −0.463857 | + | 1.20522i | ||||
\(571\) | −7.03105 | − | 7.80877i | −0.294240 | − | 0.326787i | 0.577840 | − | 0.816150i | \(-0.303896\pi\) |
−0.872080 | + | 0.489363i | \(0.837229\pi\) | |||||||
\(572\) | −0.139985 | + | 2.67108i | −0.00585308 | + | 0.111683i | ||||
\(573\) | −2.76401 | + | 21.7878i | −0.115468 | + | 0.910198i | ||||
\(574\) | −1.40343 | + | 0.810274i | −0.0585782 | + | 0.0338202i | ||||
\(575\) | −32.3707 | + | 13.9807i | −1.34995 | + | 0.583036i | ||||
\(576\) | −1.65756 | − | 2.50050i | −0.0690651 | − | 0.104187i | ||||
\(577\) | −6.41717 | + | 40.5164i | −0.267150 | + | 1.68672i | 0.380499 | + | 0.924781i | \(0.375752\pi\) |
−0.647649 | + | 0.761938i | \(0.724248\pi\) | |||||||
\(578\) | 9.07123 | − | 13.9685i | 0.377313 | − | 0.581012i | ||||
\(579\) | −2.64553 | − | 10.7950i | −0.109945 | − | 0.448626i | ||||
\(580\) | 1.17032 | − | 13.8778i | 0.0485950 | − | 0.576244i | ||||
\(581\) | −8.10679 | + | 38.1394i | −0.336326 | + | 1.58229i | ||||
\(582\) | −4.99458 | + | 21.2445i | −0.207032 | + | 0.880614i | ||||
\(583\) | −0.532716 | + | 0.0279185i | −0.0220628 | + | 0.00115626i | ||||
\(584\) | 7.00616 | + | 5.09028i | 0.289917 | + | 0.210637i | ||||
\(585\) | 41.7128 | − | 5.65440i | 1.72461 | − | 0.233781i | ||||
\(586\) | −3.72629 | + | 2.70731i | −0.153932 | + | 0.111838i | ||||
\(587\) | −0.900736 | + | 0.729402i | −0.0371774 | + | 0.0301056i | −0.647729 | − | 0.761871i | \(-0.724281\pi\) |
0.610552 | + | 0.791976i | \(0.290948\pi\) | |||||||
\(588\) | −0.374577 | − | 1.96919i | −0.0154473 | − | 0.0812081i | ||||
\(589\) | 54.5265 | − | 5.73097i | 2.24673 | − | 0.236140i | ||||
\(590\) | −4.71329 | − | 1.15947i | −0.194043 | − | 0.0477348i | ||||
\(591\) | −1.58078 | − | 3.27436i | −0.0650245 | − | 0.134689i | ||||
\(592\) | 0.177371 | + | 3.38443i | 0.00728988 | + | 0.139099i | ||||
\(593\) | −20.1168 | + | 20.1168i | −0.826097 | + | 0.826097i | −0.986974 | − | 0.160877i | \(-0.948568\pi\) |
0.160877 | + | 0.986974i | \(0.448568\pi\) | |||||||
\(594\) | −0.258021 | + | 2.19979i | −0.0105867 | + | 0.0902583i | ||||
\(595\) | 0.595563 | − | 3.11602i | 0.0244157 | − | 0.127745i | ||||
\(596\) | 0.842916 | + | 3.96561i | 0.0345272 | + | 0.162438i | ||||
\(597\) | −4.64478 | − | 0.0997234i | −0.190098 | − | 0.00408141i | ||||
\(598\) | 27.8490 | − | 34.3907i | 1.13883 | − | 1.40634i | ||||
\(599\) | −3.01611 | + | 5.22406i | −0.123235 | + | 0.213449i | −0.921042 | − | 0.389464i | \(-0.872660\pi\) |
0.797807 | + | 0.602913i | \(0.205994\pi\) | |||||||
\(600\) | −4.85894 | − | 7.16873i | −0.198365 | − | 0.292662i | ||||
\(601\) | 0.195449 | + | 0.338527i | 0.00797251 | + | 0.0138088i | 0.869984 | − | 0.493080i | \(-0.164129\pi\) |
−0.862012 | + | 0.506889i | \(0.830796\pi\) | |||||||
\(602\) | 11.1147 | + | 1.76040i | 0.453003 | + | 0.0717486i | ||||
\(603\) | −12.1688 | + | 7.17942i | −0.495550 | + | 0.292369i | ||||
\(604\) | 0.387200 | + | 0.125809i | 0.0157550 | + | 0.00511910i | ||||
\(605\) | 23.1555 | + | 7.00006i | 0.941406 | + | 0.284593i | ||||
\(606\) | 13.7487 | − | 16.2521i | 0.558502 | − | 0.660198i | ||||
\(607\) | −5.61303 | − | 20.9481i | −0.227826 | − | 0.850258i | −0.981253 | − | 0.192726i | \(-0.938267\pi\) |
0.753427 | − | 0.657532i | \(-0.228399\pi\) | |||||||
\(608\) | −6.67644 | + | 4.33573i | −0.270766 | + | 0.175837i | ||||
\(609\) | 1.92336 | − | 26.0050i | 0.0779383 | − | 1.05378i | ||||
\(610\) | 3.27109 | + | 6.10578i | 0.132443 | + | 0.247216i | ||||
\(611\) | −39.0452 | − | 53.7411i | −1.57960 | − | 2.17413i | ||||
\(612\) | 0.382320 | + | 1.71884i | 0.0154544 | + | 0.0694800i | ||||
\(613\) | 1.54773 | + | 9.77196i | 0.0625121 | + | 0.394686i | 0.999029 | + | 0.0440628i | \(0.0140302\pi\) |
−0.936517 | + | 0.350623i | \(0.885970\pi\) | |||||||
\(614\) | 4.71972 | + | 2.10136i | 0.190472 | + | 0.0848038i | ||||
\(615\) | 1.52807 | − | 2.09933i | 0.0616178 | − | 0.0846531i | ||||
\(616\) | 0.941245 | − | 0.419069i | 0.0379238 | − | 0.0168848i | ||||
\(617\) | 2.89910 | + | 4.46422i | 0.116713 | + | 0.179723i | 0.892199 | − | 0.451642i | \(-0.149162\pi\) |
−0.775486 | + | 0.631365i | \(0.782495\pi\) | |||||||
\(618\) | 2.45334 | + | 8.14125i | 0.0986880 | + | 0.327489i | ||||
\(619\) | −18.8810 | − | 17.0006i | −0.758892 | − | 0.683310i | 0.195886 | − | 0.980627i | \(-0.437242\pi\) |
−0.954779 | + | 0.297317i | \(0.903908\pi\) | |||||||
\(620\) | −7.42387 | + | 13.4926i | −0.298150 | + | 0.541876i | ||||
\(621\) | 24.8458 | − | 26.9346i | 0.997026 | − | 1.08085i | ||||
\(622\) | −6.46193 | − | 12.6822i | −0.259100 | − | 0.508512i | ||||
\(623\) | −9.59567 | + | 3.68343i | −0.384442 | + | 0.147574i | ||||
\(624\) | 9.57593 | + | 5.14102i | 0.383344 | + | 0.205805i | ||||
\(625\) | −14.2386 | − | 20.5490i | −0.569544 | − | 0.821961i | ||||
\(626\) | 10.8330 | + | 6.25446i | 0.432975 | + | 0.249978i | ||||
\(627\) | 5.83060 | + | 0.739673i | 0.232852 | + | 0.0295397i | ||||
\(628\) | 0.00106848 | 0.000693882i | 4.26372e−5 | 2.76889e-5i | ||||||
\(629\) | 0.614701 | − | 1.89185i | 0.0245097 | − | 0.0754332i | ||||
\(630\) | −9.23537 | − | 13.3278i | −0.367946 | − | 0.530991i | ||||
\(631\) | −7.35397 | − | 22.6332i | −0.292757 | − | 0.901013i | −0.983966 | − | 0.178358i | \(-0.942922\pi\) |
0.691209 | − | 0.722655i | \(-0.257078\pi\) | |||||||
\(632\) | 4.56116 | − | 17.0225i | 0.181433 | − | 0.677118i | ||||
\(633\) | −25.5176 | + | 2.12934i | −1.01423 | + | 0.0846338i | ||||
\(634\) | −7.23062 | − | 16.2402i | −0.287164 | − | 0.644982i | ||||
\(635\) | −7.25796 | − | 17.8032i | −0.288024 | − | 0.706499i | ||||
\(636\) | −0.820070 | + | 2.00652i | −0.0325179 | + | 0.0795638i | ||||
\(637\) | 4.57019 | + | 5.64371i | 0.181078 | + | 0.223612i | ||||
\(638\) | −2.62216 | + | 0.415310i | −0.103812 | + | 0.0164423i | ||||
\(639\) | −20.6191 | − | 7.69271i | −0.815678 | − | 0.304319i | ||||
\(640\) | 0.0710318 | − | 2.23494i | 0.00280778 | − | 0.0883437i | ||||
\(641\) | −43.6677 | − | 4.58966i | −1.72477 | − | 0.181281i | −0.810323 | − | 0.585983i | \(-0.800708\pi\) |
−0.914448 | + | 0.404703i | \(0.867375\pi\) | |||||||
\(642\) | −10.7099 | − | 5.04651i | −0.422684 | − | 0.199170i | ||||
\(643\) | −11.4904 | + | 3.07883i | −0.453136 | + | 0.121417i | −0.478166 | − | 0.878269i | \(-0.658698\pi\) |
0.0250306 | + | 0.999687i | \(0.492032\pi\) | |||||||
\(644\) | −16.6737 | − | 3.54411i | −0.657037 | − | 0.139658i | ||||
\(645\) | −17.4206 | + | 4.65145i | −0.685937 | + | 0.183151i | ||||
\(646\) | 4.57044 | − | 0.971477i | 0.179822 | − | 0.0382223i | ||||
\(647\) | 13.6350 | − | 6.94736i | 0.536045 | − | 0.273129i | −0.164941 | − | 0.986303i | \(-0.552743\pi\) |
0.700986 | + | 0.713175i | \(0.252743\pi\) | |||||||
\(648\) | 7.63910 | + | 4.75859i | 0.300092 | + | 0.186935i | ||||
\(649\) | 0.925260i | 0.0363196i | ||||||||
\(650\) | 27.7945 | + | 14.5558i | 1.09019 | + | 0.570925i | ||||
\(651\) | −13.6389 | + | 25.4045i | −0.534550 | + | 0.995681i | ||||
\(652\) | −2.16174 | − | 1.75054i | −0.0846603 | − | 0.0685566i | ||||
\(653\) | −32.1089 | − | 1.68275i | −1.25652 | − | 0.0658513i | −0.587577 | − | 0.809168i | \(-0.699918\pi\) |
−0.668940 | + | 0.743317i | \(0.733252\pi\) | |||||||
\(654\) | −6.26343 | + | 21.5169i | −0.244919 | + | 0.841376i | ||||
\(655\) | −3.52859 | − | 10.1444i | −0.137873 | − | 0.396373i | ||||
\(656\) | 0.637619 | − | 0.207175i | 0.0248948 | − | 0.00808882i | ||||
\(657\) | −25.4623 | − | 5.16182i | −0.993381 | − | 0.201382i | ||||
\(658\) | −11.6168 | + | 22.7992i | −0.452869 | + | 0.888806i | ||||
\(659\) | 4.07200 | − | 38.7425i | 0.158623 | − | 1.50919i | −0.568499 | − | 0.822684i | \(-0.692476\pi\) |
0.727121 | − | 0.686509i | \(-0.240858\pi\) | |||||||
\(660\) | −1.10572 | + | 1.22586i | −0.0430401 | + | 0.0477166i | ||||
\(661\) | −3.34988 | − | 31.8720i | −0.130295 | − | 1.23968i | −0.842885 | − | 0.538094i | \(-0.819144\pi\) |
0.712589 | − | 0.701581i | \(-0.247522\pi\) | |||||||
\(662\) | −2.95463 | − | 1.13418i | −0.114835 | − | 0.0440810i | ||||
\(663\) | −4.16588 | − | 4.83133i | −0.161790 | − | 0.187633i | ||||
\(664\) | 6.56109 | − | 14.7365i | 0.254620 | − | 0.571886i | ||||
\(665\) | −35.5958 | + | 24.1723i | −1.38034 | + | 0.937364i | ||||
\(666\) | −4.70101 | − | 9.01515i | −0.182161 | − | 0.349330i | ||||
\(667\) | 39.1360 | + | 19.9408i | 1.51535 | + | 0.772110i | ||||
\(668\) | −23.4675 | − | 6.28810i | −0.907985 | − | 0.243294i | ||||
\(669\) | 28.1147 | − | 10.1053i | 1.08698 | − | 0.390694i | ||||
\(670\) | −10.4937 | − | 0.884943i | −0.405408 | − | 0.0341883i | ||||
\(671\) | 0.981266 | − | 0.883536i | 0.0378814 | − | 0.0341085i | ||||
\(672\) | 0.0898669 | − | 4.18569i | 0.00346669 | − | 0.161467i | ||||
\(673\) | 15.3971 | + | 40.1108i | 0.593515 | + | 1.54616i | 0.820132 | + | 0.572175i | \(0.193900\pi\) |
−0.226617 | + | 0.973984i | \(0.572767\pi\) | |||||||
\(674\) | −20.9948 | −0.808690 | ||||||||
\(675\) | 22.1923 | + | 13.5094i | 0.854181 | + | 0.519976i | ||||
\(676\) | −26.3762 | −1.01447 | ||||||||
\(677\) | −9.90335 | − | 25.7991i | −0.380617 | − | 0.991540i | −0.981374 | − | 0.192109i | \(-0.938467\pi\) |
0.600757 | − | 0.799432i | \(-0.294866\pi\) | |||||||
\(678\) | 0.586872 | − | 27.3345i | 0.0225387 | − | 1.04977i | ||||
\(679\) | −22.6333 | + | 20.3792i | −0.868588 | + | 0.782080i | ||||
\(680\) | −0.509028 | + | 1.20972i | −0.0195203 | + | 0.0463908i | ||||
\(681\) | 10.4095 | − | 3.74151i | 0.398893 | − | 0.143375i | ||||
\(682\) | 2.83563 | + | 0.759804i | 0.108582 | + | 0.0290944i | ||||
\(683\) | 33.0254 | + | 16.8273i | 1.26368 | + | 0.643878i | 0.951939 | − | 0.306289i | \(-0.0990872\pi\) |
0.311743 | + | 0.950166i | \(0.399087\pi\) | |||||||
\(684\) | 12.8178 | − | 20.1510i | 0.490102 | − | 0.770495i | ||||
\(685\) | −2.55472 | + | 7.08809i | −0.0976108 | + | 0.270822i | ||||
\(686\) | 8.01985 | − | 18.0129i | 0.306199 | − | 0.687735i | ||||
\(687\) | 29.0626 | + | 33.7049i | 1.10881 | + | 1.28592i | ||||
\(688\) | −4.34635 | − | 1.66841i | −0.165703 | − | 0.0636074i | ||||
\(689\) | −0.820875 | − | 7.81010i | −0.0312728 | − | 0.297541i | ||||
\(690\) | 26.7210 | − | 5.65519i | 1.01725 | − | 0.215289i | ||||
\(691\) | 2.43151 | − | 23.1343i | 0.0924991 | − | 0.880070i | −0.845627 | − | 0.533775i | \(-0.820773\pi\) |
0.938126 | − | 0.346295i | \(-0.112560\pi\) | |||||||
\(692\) | −3.94776 | + | 7.74793i | −0.150072 | + | 0.294532i | ||||
\(693\) | −2.04651 | + | 2.31643i | −0.0777406 | + | 0.0879938i | ||||
\(694\) | 12.6681 | − | 4.11611i | 0.480874 | − | 0.156246i | ||||
\(695\) | −14.2806 | + | 10.8315i | −0.541693 | + | 0.410863i | ||||
\(696\) | −3.01513 | + | 10.3579i | −0.114288 | + | 0.392616i | ||||
\(697\) | −0.392970 | − | 0.0205947i | −0.0148848 | − | 0.000780079i | ||||
\(698\) | −27.9983 | − | 22.6726i | −1.05975 | − | 0.858169i | ||||
\(699\) | −17.7770 | + | 33.1125i | −0.672390 | + | 1.25243i | ||||
\(700\) | 0.135160 | − | 12.0851i | 0.00510856 | − | 0.456773i | ||||
\(701\) | 3.06291i | 0.115684i | 0.998326 | + | 0.0578422i | \(0.0184220\pi\) | ||||
−0.998326 | + | 0.0578422i | \(0.981578\pi\) | |||||||
\(702\) | −32.5385 | − | 2.09839i | −1.22809 | − | 0.0791985i | ||||
\(703\) | −24.0390 | + | 12.2485i | −0.906647 | + | 0.461960i | ||||
\(704\) | −0.416937 | + | 0.0886226i | −0.0157139 | + | 0.00334009i | ||||
\(705\) | 2.18171 | − | 40.9413i | 0.0821681 | − | 1.54194i | ||||
\(706\) | 1.13314 | + | 0.240856i | 0.0426462 | + | 0.00906473i | ||||
\(707\) | 28.6956 | − | 7.68895i | 1.07921 | − | 0.289173i | ||||
\(708\) | 3.40108 | + | 1.60260i | 0.127821 | + | 0.0602294i | ||||
\(709\) | 36.6549 | + | 3.85259i | 1.37661 | + | 0.144687i | 0.763752 | − | 0.645510i | \(-0.223355\pi\) |
0.612853 | + | 0.790197i | \(0.290022\pi\) | |||||||
\(710\) | −9.21520 | − | 13.5701i | −0.345840 | − | 0.509278i | ||||
\(711\) | 8.76237 | + | 52.1377i | 0.328615 | + | 1.95532i | ||||
\(712\) | 4.19988 | − | 0.665195i | 0.157397 | − | 0.0249292i | ||||
\(713\) | −30.5656 | − | 37.7454i | −1.14469 | − | 1.41358i | ||||
\(714\) | −0.929677 | + | 2.27471i | −0.0347923 | + | 0.0851287i | ||||
\(715\) | 1.42871 | − | 5.80776i | 0.0534309 | − | 0.217198i | ||||
\(716\) | −8.33630 | − | 18.7236i | −0.311542 | − | 0.699735i | ||||
\(717\) | −8.34677 | + | 0.696504i | −0.311716 | + | 0.0260114i | ||||
\(718\) | 1.13185 | − | 4.22411i | 0.0422402 | − | 0.157642i | ||||
\(719\) | −13.4884 | − | 41.5132i | −0.503034 | − | 1.54818i | −0.804051 | − | 0.594561i | \(-0.797326\pi\) |
0.301017 | − | 0.953619i | \(-0.402674\pi\) | |||||||
\(720\) | 2.59087 | + | 6.18768i | 0.0965558 | + | 0.230601i | ||||
\(721\) | −3.66686 | + | 11.2854i | −0.136561 | + | 0.420291i | ||||
\(722\) | −37.2147 | − | 24.1675i | −1.38499 | − | 0.899422i | ||||
\(723\) | 3.56571 | + | 0.452348i | 0.132610 | + | 0.0168230i | ||||
\(724\) | 5.17294 | + | 2.98660i | 0.192251 | + | 0.110996i | ||||
\(725\) | −8.39599 | + | 29.9887i | −0.311819 | + | 1.11375i | ||||
\(726\) | −16.5091 | − | 8.86322i | −0.612711 | − | 0.328945i | ||||
\(727\) | 4.66047 | − | 1.78899i | 0.172847 | − | 0.0663499i | −0.270405 | − | 0.962747i | \(-0.587158\pi\) |
0.443253 | + | 0.896397i | \(0.353824\pi\) | |||||||
\(728\) | 6.88605 | + | 13.5146i | 0.255214 | + | 0.500886i | ||||
\(729\) | −26.7764 | − | 3.46800i | −0.991717 | − | 0.128444i | ||||
\(730\) | −13.2509 | − | 14.1209i | −0.490439 | − | 0.522637i | ||||
\(731\) | 2.03070 | + | 1.82845i | 0.0751082 | + | 0.0676277i | ||||
\(732\) | −1.54811 | − | 5.13728i | −0.0572197 | − | 0.189879i | ||||
\(733\) | 15.6961 | + | 24.1699i | 0.579750 | + | 0.892737i | 0.999892 | − | 0.0147213i | \(-0.00468611\pi\) |
−0.420141 | + | 0.907459i | \(0.638019\pi\) | |||||||
\(734\) | 19.2896 | − | 8.58829i | 0.711993 | − | 0.317000i | ||||
\(735\) | −0.00393785 | + | 4.48220i | −0.000145250 | + | 0.165328i | ||||
\(736\) | 6.44246 | + | 2.86837i | 0.237472 | + | 0.105729i | ||||
\(737\) | 0.314038 | + | 1.98276i | 0.0115677 | + | 0.0730358i | ||||
\(738\) | −1.48193 | + | 1.35985i | −0.0545507 | + | 0.0500568i | ||||
\(739\) | −22.8304 | − | 31.4234i | −0.839830 | − | 1.15593i | −0.986013 | − | 0.166670i | \(-0.946699\pi\) |
0.146182 | − | 0.989258i | \(-0.453301\pi\) | |||||||
\(740\) | 1.03115 | − | 7.50772i | 0.0379059 | − | 0.275989i | ||||
\(741\) | −6.38189 | + | 86.2872i | −0.234445 | + | 3.16984i | ||||
\(742\) | −2.53702 | + | 1.64756i | −0.0931369 | + | 0.0604838i | ||||
\(743\) | −7.06954 | − | 26.3839i | −0.259356 | − | 0.967931i | −0.965615 | − | 0.259977i | \(-0.916285\pi\) |
0.706258 | − | 0.707954i | \(-0.250382\pi\) | |||||||
\(744\) | 7.70436 | − | 9.10721i | 0.282455 | − | 0.333887i | ||||
\(745\) | −0.186628 | − | 9.06355i | −0.00683753 | − | 0.332063i | ||||
\(746\) | 30.9064 | + | 10.0421i | 1.13156 | + | 0.367667i | ||||
\(747\) | 0.456169 | + | 48.3910i | 0.0166904 | + | 1.77054i | ||||
\(748\) | 0.247107 | + | 0.0391380i | 0.00903514 | + | 0.00143103i | ||||
\(749\) | −8.26116 | − | 14.3087i | −0.301856 | − | 0.522830i | ||||
\(750\) | 7.66247 | + | 17.7844i | 0.279794 | + | 0.649396i | ||||
\(751\) | 1.45578 | − | 2.52149i | 0.0531222 | − | 0.0920103i | −0.838242 | − | 0.545299i | \(-0.816416\pi\) |
0.891364 | + | 0.453289i | \(0.149749\pi\) | |||||||
\(752\) | 6.66199 | − | 8.22687i | 0.242938 | − | 0.300003i | ||||
\(753\) | −2.58503 | − | 0.0555006i | −0.0942037 | − | 0.00202256i | ||||
\(754\) | −8.12586 | − | 38.2292i | −0.295927 | − | 1.39222i | ||||
\(755\) | −0.797601 | − | 0.438854i | −0.0290277 | − | 0.0159715i | ||||
\(756\) | 4.97008 | + | 11.5348i | 0.180760 | + | 0.419516i | ||||
\(757\) | 13.1600 | − | 13.1600i | 0.478309 | − | 0.478309i | −0.426282 | − | 0.904591i | \(-0.640177\pi\) |
0.904591 | + | 0.426282i | \(0.140177\pi\) | |||||||
\(758\) | −0.560486 | − | 10.6947i | −0.0203578 | − | 0.388449i | ||||
\(759\) | −2.26359 | − | 4.68872i | −0.0821632 | − | 0.170190i | ||||
\(760\) | 16.4836 | − | 6.71999i | 0.597923 | − | 0.243760i | ||||
\(761\) | 9.51655 | − | 1.00023i | 0.344975 | − | 0.0362583i | 0.0695430 | − | 0.997579i | \(-0.477846\pi\) |
0.275432 | + | 0.961321i | \(0.411179\pi\) | |||||||
\(762\) | 2.78288 | + | 14.6299i | 0.100813 | + | 0.529986i | ||||
\(763\) | −24.3047 | + | 19.6815i | −0.879888 | + | 0.712520i | ||||
\(764\) | 10.2583 | − | 7.45312i | 0.371134 | − | 0.269644i | ||||
\(765\) | −0.118161 | − | 3.93560i | −0.00427212 | − | 0.142292i | ||||
\(766\) | 4.16739 | + | 3.02778i | 0.150574 | + | 0.109398i | ||||
\(767\) | −13.6025 | + | 0.712878i | −0.491158 | + | 0.0257405i | ||||
\(768\) | −0.396397 | + | 1.68608i | −0.0143037 | + | 0.0608412i | ||||
\(769\) | 0.799423 | − | 3.76099i | 0.0288279 | − | 0.135625i | −0.961380 | − | 0.275224i | \(-0.911248\pi\) |
0.990208 | + | 0.139599i | \(0.0445814\pi\) | |||||||
\(770\) | −2.24318 | + | 0.525292i | −0.0808388 | + | 0.0189302i | ||||
\(771\) | 3.36116 | + | 13.7151i | 0.121049 | + | 0.493938i | ||||
\(772\) | −3.49492 | + | 5.38171i | −0.125785 | + | 0.193692i | ||||
\(773\) | −3.99732 | + | 25.2381i | −0.143774 | + | 0.907751i | 0.805339 | + | 0.592814i | \(0.201983\pi\) |
−0.949113 | + | 0.314936i | \(0.898017\pi\) | |||||||
\(774\) | 13.9401 | − | 0.862402i | 0.501065 | − | 0.0309984i | ||||
\(775\) | 21.9690 | − | 26.5176i | 0.789151 | − | 0.952539i | ||||
\(776\) | 10.9119 | − | 6.29997i | 0.391713 | − | 0.226156i | ||||
\(777\) | 1.78570 | − | 14.0761i | 0.0640616 | − | 0.504977i | ||||
\(778\) | 1.98383 | − | 37.8538i | 0.0711239 | − | 1.35712i | ||||
\(779\) | 3.57124 | + | 3.96627i | 0.127953 | + | 0.142106i | ||||
\(780\) | −18.8736 | − | 15.3111i | −0.675785 | − | 0.548224i | ||||
\(781\) | −2.09230 | + | 2.32373i | −0.0748683 | + | 0.0831496i | ||||
\(782\) | −2.92689 | − | 2.92689i | −0.104665 | − | 0.104665i | ||||
\(783\) | −4.67754 | − | 32.0237i | −0.167162 | − | 1.14443i | ||||
\(784\) | −0.680243 | + | 0.936275i | −0.0242944 | + | 0.0334384i | ||||
\(785\) | −0.00205545 | − | 0.00197251i | −7.33621e−5 | − | 7.04019e-5i | ||||
\(786\) | 1.12479 | + | 8.24319i | 0.0401198 | + | 0.294025i | ||||
\(787\) | 12.9877 | − | 33.8342i | 0.462962 | − | 1.20606i | −0.481210 | − | 0.876605i | \(-0.659803\pi\) |
0.944172 | − | 0.329452i | \(-0.106864\pi\) | |||||||
\(788\) | −0.752297 | + | 1.95980i | −0.0267995 | + | 0.0698150i | ||||
\(789\) | −2.32252 | + | 1.79958i | −0.0826838 | + | 0.0640669i | ||||
\(790\) | −17.1634 | + | 35.4720i | −0.610647 | + | 1.26204i | ||||
\(791\) | 22.4272 | − | 30.8684i | 0.797421 | − | 1.09756i | ||||
\(792\) | 1.02740 | − | 0.761351i | 0.0365072 | − | 0.0270534i | ||||
\(793\) | 13.7451 | + | 13.7451i | 0.488104 | + | 0.488104i | ||||
\(794\) | −19.8411 | + | 22.0358i | −0.704135 | + | 0.782022i | ||||
\(795\) | 2.64343 | − | 4.06270i | 0.0937526 | − | 0.144089i | ||||
\(796\) | 1.79480 | + | 1.99332i | 0.0636149 | + | 0.0706515i | ||||
\(797\) | −2.11234 | + | 40.3058i | −0.0748229 | + | 1.42771i | 0.660926 | + | 0.750451i | \(0.270164\pi\) |
−0.735749 | + | 0.677255i | \(0.763169\pi\) | |||||||
\(798\) | 30.7314 | − | 12.8994i | 1.08788 | − | 0.456634i | ||||
\(799\) | −5.38100 | + | 3.10672i | −0.190366 | + | 0.109908i | ||||
\(800\) | −1.09419 | + | 4.87881i | −0.0386854 | + | 0.172492i | ||||
\(801\) | −10.6327 | + | 7.04833i | −0.375688 | + | 0.249040i | ||||
\(802\) | −2.35481 | + | 14.8677i | −0.0831513 | + | 0.524997i | ||||
\(803\) | −2.01047 | + | 3.09585i | −0.0709479 | + | 0.109250i | ||||
\(804\) | 7.83217 | + | 2.27990i | 0.276219 | + | 0.0804058i | ||||
\(805\) | 35.1330 | + | 14.7833i | 1.23827 | + | 0.521041i | ||||
\(806\) | −8.98536 | + | 42.2728i | −0.316496 | + | 1.48899i | ||||
\(807\) | −9.09667 | + | 2.74126i | −0.320218 | + | 0.0964969i | ||||
\(808\) | −12.2735 | + | 0.643227i | −0.431780 | + | 0.0226287i | ||||
\(809\) | 25.2390 | + | 18.3372i | 0.887356 | + | 0.644702i | 0.935187 | − | 0.354154i | \(-0.115231\pi\) |
−0.0478314 | + | 0.998855i | \(0.515231\pi\) | |||||||
\(810\) | −14.7803 | − | 13.6581i | −0.519327 | − | 0.479896i | ||||
\(811\) | −3.98326 | + | 2.89401i | −0.139871 | + | 0.101622i | −0.655521 | − | 0.755177i | \(-0.727551\pi\) |
0.515649 | + | 0.856800i | \(0.327551\pi\) | |||||||
\(812\) | −11.6999 | + | 9.47442i | −0.410587 | + | 0.332487i | ||||
\(813\) | 23.3703 | + | 8.15211i | 0.819633 | + | 0.285907i | ||||
\(814\) | −1.43668 | + | 0.151002i | −0.0503558 | + | 0.00529260i | ||||
\(815\) | 4.01302 | + | 4.75219i | 0.140570 | + | 0.166462i | ||||
\(816\) | 0.571867 | − | 0.840532i | 0.0200194 | − | 0.0294245i | ||||
\(817\) | −1.93966 | − | 37.0110i | −0.0678603 | − | 1.29485i | ||||
\(818\) | −11.4296 | + | 11.4296i | −0.399625 | + | 0.399625i | ||||
\(819\) | −35.6312 | − | 28.3017i | −1.24506 | − | 0.988940i | ||||
\(820\) | −1.48738 | + | 0.187362i | −0.0519415 | + | 0.00654296i | ||||
\(821\) | −9.51119 | − | 44.7467i | −0.331943 | − | 1.56167i | −0.755098 | − | 0.655612i | \(-0.772411\pi\) |
0.423155 | − | 0.906057i | \(-0.360922\pi\) | |||||||
\(822\) | 3.02589 | − | 4.99045i | 0.105540 | − | 0.174062i | ||||
\(823\) | 16.1407 | − | 19.9321i | 0.562630 | − | 0.694791i | −0.413863 | − | 0.910339i | \(-0.635821\pi\) |
0.976493 | + | 0.215549i | \(0.0691540\pi\) | |||||||
\(824\) | 2.45457 | − | 4.25143i | 0.0855089 | − | 0.148106i | ||||
\(825\) | 2.94310 | − | 2.22821i | 0.102466 | − | 0.0775764i | ||||
\(826\) | 2.62346 | + | 4.54397i | 0.0912819 | + | 0.158105i | ||||
\(827\) | 32.3235 | + | 5.11954i | 1.12400 | + | 0.178024i | 0.690641 | − | 0.723198i | \(-0.257328\pi\) |
0.433358 | + | 0.901222i | \(0.357328\pi\) | |||||||
\(828\) | −21.1555 | + | 0.199427i | −0.735205 | + | 0.00693058i | ||||
\(829\) | −37.1843 | − | 12.0819i | −1.29146 | − | 0.419622i | −0.418860 | − | 0.908051i | \(-0.637570\pi\) |
−0.872604 | + | 0.488429i | \(0.837570\pi\) | |||||||
\(830\) | −20.5963 | + | 29.6117i | −0.714907 | + | 1.02784i | ||||
\(831\) | 5.51350 | + | 15.3395i | 0.191261 | + | 0.532121i | ||||
\(832\) | −1.62410 | − | 6.06123i | −0.0563056 | − | 0.210135i | ||||
\(833\) | 0.569688 | − | 0.369960i | 0.0197385 | − | 0.0128183i | ||||
\(834\) | 12.5028 | − | 6.03603i | 0.432937 | − | 0.209011i | ||||
\(835\) | 48.9023 | + | 23.6618i | 1.69234 | + | 0.818850i | ||||
\(836\) | −1.99452 | − | 2.74522i | −0.0689819 | − | 0.0949454i | ||||
\(837\) | −9.67779 | + | 34.4533i | −0.334513 | + | 1.19088i | ||||
\(838\) | −4.72346 | − | 29.8228i | −0.163169 | − | 1.03021i | ||||
\(839\) | −5.71907 | − | 2.54629i | −0.197444 | − | 0.0879079i | 0.305633 | − | 0.952150i | \(-0.401132\pi\) |
−0.503077 | + | 0.864242i | \(0.667799\pi\) | |||||||
\(840\) | −1.95444 | + | 9.15536i | −0.0674346 | + | 0.315890i | ||||
\(841\) | 8.94589 | − | 3.98297i | 0.308479 | − | 0.137344i | ||||
\(842\) | 2.05412 | + | 3.16307i | 0.0707896 | + | 0.109006i | ||||
\(843\) | 11.8149 | − | 12.5684i | 0.406926 | − | 0.432879i | ||||
\(844\) | 10.9865 | + | 9.89230i | 0.378171 | + | 0.340507i | ||||
\(845\) | 57.9303 | + | 11.0722i | 1.99286 | + | 0.380894i | ||||
\(846\) | −7.93005 | + | 30.7520i | −0.272641 | + | 1.05728i | ||||
\(847\) | −11.8717 | − | 23.2995i | −0.407917 | − | 0.800581i | ||||
\(848\) | 1.16836 | − | 0.448492i | 0.0401217 | − | 0.0154013i | ||||
\(849\) | 12.0049 | − | 7.43468i | 0.412008 | − | 0.255158i | ||||
\(850\) | 1.62580 | − | 2.44325i | 0.0557645 | − | 0.0838029i | ||||
\(851\) | 20.6982 | + | 11.9501i | 0.709527 | + | 0.409645i | ||||
\(852\) | 4.91763 | + | 11.7157i | 0.168475 | + | 0.401374i | ||||
\(853\) | −8.45680 | − | 5.49191i | −0.289555 | − | 0.188039i | 0.391685 | − | 0.920099i | \(-0.371892\pi\) |
−0.681240 | + | 0.732060i | \(0.738559\pi\) | |||||||
\(854\) | 2.31386 | − | 7.12132i | 0.0791786 | − | 0.243687i | ||||
\(855\) | −36.6109 | + | 38.8773i | −1.25207 | + | 1.32958i | ||||
\(856\) | 2.11226 | + | 6.50085i | 0.0721954 | + | 0.222195i | ||||
\(857\) | −10.8969 | + | 40.6679i | −0.372232 | + | 1.38919i | 0.485115 | + | 0.874450i | \(0.338778\pi\) |
−0.857347 | + | 0.514739i | \(0.827889\pi\) | |||||||
\(858\) | −1.97474 | + | 4.19085i | −0.0674165 | + | 0.143073i | ||||
\(859\) | 8.55969 | + | 19.2254i | 0.292053 | + | 0.655961i | 0.998666 | − | 0.0516389i | \(-0.0164445\pi\) |
−0.706613 | + | 0.707600i | \(0.749778\pi\) | |||||||
\(860\) | 8.84557 | + | 5.48884i | 0.301631 | + | 0.187168i | ||||
\(861\) | −2.78110 | + | 0.379482i | −0.0947796 | + | 0.0129327i | ||||
\(862\) | 19.0908 | + | 23.5751i | 0.650234 | + | 0.802972i | ||||
\(863\) | 18.0071 | − | 2.85205i | 0.612970 | − | 0.0970850i | 0.157773 | − | 0.987475i | \(-0.449569\pi\) |
0.455198 | + | 0.890390i | \(0.349569\pi\) | |||||||
\(864\) | −1.01907 | − | 5.09524i | −0.0346694 | − | 0.173344i | ||||
\(865\) | 11.9229 | − | 15.3597i | 0.405392 | − | 0.522244i | ||||
\(866\) | −31.4527 | − | 3.30581i | −1.06881 | − | 0.112336i | ||||
\(867\) | 23.6972 | − | 16.4516i | 0.804801 | − | 0.558727i | ||||
\(868\) | 16.0802 | − | 4.30866i | 0.545796 | − | 0.146246i | ||||
\(869\) | 7.34766 | + | 1.56179i | 0.249252 | + | 0.0529802i | ||||
\(870\) | 10.9702 | − | 21.4835i | 0.371924 | − | 0.728360i | ||||
\(871\) | −28.9071 | + | 6.14440i | −0.979480 | + | 0.208195i | ||||
\(872\) | 11.5282 | − | 5.87391i | 0.390394 | − | 0.198916i | ||||
\(873\) | −21.9289 | + | 30.7888i | −0.742182 | + | 1.04204i | ||||
\(874\) | 56.1404i | 1.89898i | ||||||||
\(875\) | −5.36992 | + | 26.4859i | −0.181536 | + | 0.895386i | ||||
\(876\) | 7.89753 | + | 12.7523i | 0.266833 | + | 0.430860i | ||||
\(877\) | 1.34456 | + | 1.08880i | 0.0454026 | + | 0.0367663i | 0.651753 | − | 0.758431i | \(-0.274034\pi\) |
−0.606351 | + | 0.795197i | \(0.707367\pi\) | |||||||
\(878\) | 15.6891 | + | 0.822231i | 0.529482 | + | 0.0277490i | ||||
\(879\) | −7.74846 | + | 1.89891i | −0.261349 | + | 0.0640486i | ||||
\(880\) | 0.952925 | − | 0.0196217i | 0.0321231 | − | 0.000661449i | ||||
\(881\) | 26.5818 | − | 8.63694i | 0.895562 | − | 0.290986i | 0.175158 | − | 0.984540i | \(-0.443956\pi\) |
0.720404 | + | 0.693554i | \(0.243956\pi\) | |||||||
\(882\) | 0.689804 | − | 3.40268i | 0.0232269 | − | 0.114574i | ||||
\(883\) | 1.97070 | − | 3.86771i | 0.0663192 | − | 0.130159i | −0.855467 | − | 0.517857i | \(-0.826730\pi\) |
0.921786 | + | 0.387698i | \(0.126730\pi\) | |||||||
\(884\) | −0.384992 | + | 3.66295i | −0.0129487 | + | 0.123198i | ||||
\(885\) | −6.79710 | − | 4.94751i | −0.228482 | − | 0.166309i | ||||
\(886\) | −3.48475 | − | 33.1552i | −0.117072 | − | 1.11387i | ||||
\(887\) | −40.0979 | − | 15.3921i | −1.34636 | − | 0.516818i | −0.424879 | − | 0.905250i | \(-0.639683\pi\) |
−0.921477 | + | 0.388433i | \(0.873017\pi\) | |||||||
\(888\) | −1.93336 | + | 5.54253i | −0.0648794 | + | 0.185995i | ||||
\(889\) | −8.45318 | + | 18.9861i | −0.283510 | + | 0.636775i | ||||
\(890\) | −9.50347 | − | 0.302043i | −0.318557 | − | 0.0101245i | ||||
\(891\) | −1.85516 | + | 3.35787i | −0.0621502 | + | 0.112493i | ||||
\(892\) | −15.3687 | − | 7.83075i | −0.514583 | − | 0.262193i | ||||
\(893\) | 81.4010 | + | 21.8113i | 2.72398 | + | 0.729888i | ||||
\(894\) | −1.24712 | + | 6.91046i | −0.0417098 | + | 0.231120i | ||||
\(895\) | 10.4493 | + | 44.6224i | 0.349283 | + | 1.49156i | ||||
\(896\) | −1.79631 | + | 1.61740i | −0.0600104 | + | 0.0540336i | ||||
\(897\) | 67.1862 | − | 36.8902i | 2.24328 | − | 1.23173i | ||||
\(898\) | 1.40320 | + | 3.65546i | 0.0468253 | + | 0.121984i | ||||
\(899\) | −42.8957 | −1.43065 | ||||||||
\(900\) | −3.09289 | − | 14.6777i | −0.103096 | − | 0.489256i | ||||
\(901\) | −0.734557 | −0.0244717 | ||||||||
\(902\) | 0.102412 | + | 0.266792i | 0.00340994 | + | 0.00888319i | ||||
\(903\) | 16.6669 | + | 10.1057i | 0.554638 | + | 0.336297i | ||||
\(904\) | −11.7307 | + | 10.5624i | −0.390157 | + | 0.351299i | ||||
\(905\) | −10.1077 | − | 8.73099i | −0.335991 | − | 0.290228i | ||||
\(906\) | 0.538363 | + | 0.455435i | 0.0178859 | + | 0.0151308i | ||||
\(907\) | −5.06529 | − | 1.35724i | −0.168190 | − | 0.0450664i | 0.173741 | − | 0.984791i | \(-0.444414\pi\) |
−0.341931 | + | 0.939725i | \(0.611081\pi\) | |||||||
\(908\) | −5.69028 | − | 2.89934i | −0.188839 | − | 0.0962181i | ||||
\(909\) | 32.6931 | − | 17.0480i | 1.08436 | − | 0.565448i | ||||
\(910\) | −9.45076 | − | 32.5730i | −0.313290 | − | 1.07978i | ||||
\(911\) | −0.101116 | + | 0.227111i | −0.00335013 | + | 0.00752451i | −0.915213 | − | 0.402971i | \(-0.867978\pi\) |
0.911863 | + | 0.410495i | \(0.134644\pi\) | |||||||
\(912\) | −13.5455 | + | 2.57661i | −0.448537 | + | 0.0853201i | ||||
\(913\) | 6.41919 | + | 2.46410i | 0.212444 | + | 0.0815497i | ||||
\(914\) | −1.55623 | − | 14.8066i | −0.0514757 | − | 0.489758i | ||||
\(915\) | 1.24360 | + | 11.9329i | 0.0411123 | + | 0.394491i | ||||
\(916\) | 2.68583 | − | 25.5540i | 0.0887423 | − | 0.844326i | ||||
\(917\) | −5.27101 | + | 10.3449i | −0.174064 | + | 0.341620i | ||||
\(918\) | −0.513339 | + | 3.00636i | −0.0169427 | + | 0.0992248i | ||||
\(919\) | −16.3971 | + | 5.32774i | −0.540890 | + | 0.175746i | −0.566705 | − | 0.823921i | \(-0.691782\pi\) |
0.0258147 | + | 0.999667i | \(0.491782\pi\) | |||||||
\(920\) | −12.9456 | − | 9.00424i | −0.426803 | − | 0.296861i | ||||
\(921\) | 6.19022 | + | 6.46186i | 0.203975 | + | 0.212925i | ||||
\(922\) | 28.1183 | + | 1.47362i | 0.926026 | + | 0.0485310i | ||||
\(923\) | −35.7739 | − | 28.9691i | −1.17751 | − | 0.953530i | ||||
\(924\) | 1.78372 | − | 0.0551222i | 0.0586800 | − | 0.00181339i | ||||
\(925\) | −5.41631 | + | 16.0564i | −0.178087 | + | 0.527933i | ||||
\(926\) | − | 19.4317i | − | 0.638565i | ||||||
\(927\) | −1.40130 | + | 14.6606i | −0.0460247 | + | 0.481517i | ||||
\(928\) | 5.54951 | − | 2.82762i | 0.182172 | − | 0.0928211i | ||||
\(929\) | 16.6382 | − | 3.53655i | 0.545881 | − | 0.116031i | 0.0732869 | − | 0.997311i | \(-0.476651\pi\) |
0.472594 | + | 0.881280i | \(0.343318\pi\) | |||||||
\(930\) | −20.7442 | + | 16.7682i | −0.680229 | + | 0.549850i | ||||
\(931\) | −9.01164 | − | 1.91548i | −0.295345 | − | 0.0627774i | ||||
\(932\) | 20.9590 | − | 5.61595i | 0.686536 | − | 0.183957i | ||||
\(933\) | −2.05010 | − | 24.5680i | −0.0671171 | − | 0.804319i | ||||
\(934\) | −5.36722 | − | 0.564118i | −0.175621 | − | 0.0184585i | ||||
\(935\) | −0.526296 | − | 0.189690i | −0.0172117 | − | 0.00620351i | ||||
\(936\) | 11.9844 | + | 14.5176i | 0.391723 | + | 0.474521i | ||||
\(937\) | 49.4875 | − | 7.83805i | 1.61669 | − | 0.256058i | 0.718452 | − | 0.695576i | \(-0.244851\pi\) |
0.898234 | + | 0.439518i | \(0.144851\pi\) | |||||||
\(938\) | 7.16411 | + | 8.84694i | 0.233916 | + | 0.288863i | ||||
\(939\) | 13.2703 | + | 17.1265i | 0.433061 | + | 0.558902i | ||||
\(940\) | −18.0853 | + | 15.2722i | −0.589877 | + | 0.498125i | ||||
\(941\) | −0.718978 | − | 1.61485i | −0.0234380 | − | 0.0526427i | 0.901447 | − | 0.432889i | \(-0.142506\pi\) |
−0.924885 | + | 0.380246i | \(0.875839\pi\) | |||||||
\(942\) | 0.00125843 | + | 0.00181266i | 4.10019e−5 | + | 5.90598e-5i | ||||
\(943\) | 1.22369 | − | 4.56689i | 0.0398489 | − | 0.148718i | ||||
\(944\) | −0.670780 | − | 2.06445i | −0.0218320 | − | 0.0671921i | ||||
\(945\) | −6.07380 | − | 27.4203i | −0.197581 | − | 0.891983i | ||||
\(946\) | 0.613226 | − | 1.88732i | 0.0199377 | − | 0.0613620i | ||||
\(947\) | 14.6144 | + | 9.49069i | 0.474903 | + | 0.308406i | 0.759805 | − | 0.650151i | \(-0.225294\pi\) |
−0.284902 | + | 0.958557i | \(0.591961\pi\) | |||||||
\(948\) | 18.4674 | − | 24.3035i | 0.599794 | − | 0.789342i | ||||
\(949\) | −47.0620 | − | 27.1712i | −1.52770 | − | 0.882016i | ||||
\(950\) | −39.0240 | + | 7.83973i | −1.26611 | + | 0.254355i | ||||
\(951\) | −0.951078 | − | 30.7762i | −0.0308408 | − | 0.997987i | ||||
\(952\) | 1.32452 | − | 0.508436i | 0.0429280 | − | 0.0164785i | ||||
\(953\) | 1.33383 | + | 2.61779i | 0.0432071 | + | 0.0847986i | 0.911601 | − | 0.411077i | \(-0.134847\pi\) |
−0.868394 | + | 0.495876i | \(0.834847\pi\) | |||||||
\(954\) | −2.62966 | + | 2.67971i | −0.0851383 | + | 0.0867587i | ||||
\(955\) | −25.6592 | + | 12.0631i | −0.830311 | + | 0.390354i | ||||
\(956\) | 3.59367 | + | 3.23575i | 0.116228 | + | 0.104652i | ||||
\(957\) | −4.47629 | − | 1.05237i | −0.144698 | − | 0.0340184i | ||||
\(958\) | 5.03024 | + | 7.74589i | 0.162520 | + | 0.250258i | ||||
\(959\) | 7.44051 | − | 3.31273i | 0.240266 | − | 0.106974i | ||||
\(960\) | 1.57839 | − | 3.53676i | 0.0509424 | − | 0.114148i | ||||
\(961\) | 15.0121 | + | 6.68383i | 0.484263 | + | 0.215608i | ||||
\(962\) | −3.32683 | − | 21.0048i | −0.107261 | − | 0.677221i | ||||
\(963\) | −13.8644 | − | 15.1091i | −0.446773 | − | 0.486883i | ||||
\(964\) | −1.21975 | − | 1.67884i | −0.0392855 | − | 0.0540719i | ||||
\(965\) | 9.93506 | − | 10.3528i | 0.319821 | − | 0.333269i | ||||
\(966\) | −24.4108 | − | 16.6082i | −0.785405 | − | 0.534361i | ||||
\(967\) | 39.8122 | − | 25.8544i | 1.28028 | − | 0.831420i | 0.288262 | − | 0.957552i | \(-0.406923\pi\) |
0.992014 | + | 0.126131i | \(0.0402560\pi\) | |||||||
\(968\) | 2.79998 | + | 10.4497i | 0.0899949 | + | 0.335866i | ||||
\(969\) | 7.96443 | + | 1.43733i | 0.255855 | + | 0.0461736i | ||||
\(970\) | −26.6105 | + | 9.25613i | −0.854410 | + | 0.297196i | ||||
\(971\) | 45.7614 | + | 14.8688i | 1.46855 | + | 0.477162i | 0.930671 | − | 0.365857i | \(-0.119224\pi\) |
0.537883 | + | 0.843019i | \(0.319224\pi\) | |||||||
\(972\) | 9.12967 | + | 12.6352i | 0.292834 | + | 0.405275i | ||||
\(973\) | 19.1367 | + | 3.03096i | 0.613495 | + | 0.0971681i | ||||
\(974\) | 14.6681 | + | 25.4059i | 0.469996 | + | 0.814058i | ||||
\(975\) | 35.0252 | + | 41.5506i | 1.12170 | + | 1.33068i | ||||
\(976\) | −1.54888 | + | 2.68274i | −0.0495784 | + | 0.0858723i | ||||
\(977\) | −9.38887 | + | 11.5943i | −0.300377 | + | 0.370934i | −0.904879 | − | 0.425669i | \(-0.860039\pi\) |
0.604502 | + | 0.796603i | \(0.293372\pi\) | |||||||
\(978\) | −2.31885 | − | 4.22321i | −0.0741488 | − | 0.135043i | ||||
\(979\) | 0.376844 | + | 1.77291i | 0.0120440 | + | 0.0566625i | ||||
\(980\) | 1.88705 | − | 1.77080i | 0.0602798 | − | 0.0565661i | ||||
\(981\) | −24.1418 | + | 30.3940i | −0.770787 | + | 0.970405i | ||||
\(982\) | −12.7302 | + | 12.7302i | −0.406235 | + | 0.406235i | ||||
\(983\) | 0.582485 | + | 11.1145i | 0.0185784 | + | 0.354497i | 0.992063 | + | 0.125743i | \(0.0401316\pi\) |
−0.973484 | + | 0.228753i | \(0.926535\pi\) | |||||||
\(984\) | 1.15806 | + | 0.0856512i | 0.0369176 | + | 0.00273046i | ||||
\(985\) | 2.47496 | − | 3.98853i | 0.0788588 | − | 0.127085i | ||||
\(986\) | −3.63570 | + | 0.382128i | −0.115784 | + | 0.0121694i | ||||
\(987\) | −33.5651 | + | 28.9420i | −1.06839 | + | 0.921236i | ||||
\(988\) | 38.8216 | − | 31.4371i | 1.23508 | − | 1.00015i | ||||
\(989\) | −26.5615 | + | 19.2980i | −0.844605 | + | 0.613642i | ||||
\(990\) | −2.57610 | + | 1.24088i | −0.0818737 | + | 0.0394378i | ||||
\(991\) | 0.118768 | + | 0.0862900i | 0.00377279 | + | 0.00274109i | 0.589670 | − | 0.807644i | \(-0.299258\pi\) |
−0.585897 | + | 0.810385i | \(0.699258\pi\) | |||||||
\(992\) | −6.87771 | + | 0.360446i | −0.218368 | + | 0.0114442i | ||||
\(993\) | −3.99400 | − | 3.75454i | −0.126746 | − | 0.119147i | ||||
\(994\) | −3.68665 | + | 17.3443i | −0.116934 | + | 0.550129i | ||||
\(995\) | −3.10518 | − | 5.13138i | −0.0984407 | − | 0.162676i | ||||
\(996\) | 20.1760 | − | 19.3278i | 0.639300 | − | 0.612425i | ||||
\(997\) | 0.561018 | − | 0.863892i | 0.0177676 | − | 0.0273597i | −0.829675 | − | 0.558246i | \(-0.811474\pi\) |
0.847443 | + | 0.530887i | \(0.178141\pi\) | |||||||
\(998\) | 2.97479 | − | 18.7821i | 0.0941652 | − | 0.594536i | ||||
\(999\) | −1.62976 | − | 17.5346i | −0.0515635 | − | 0.554769i |
(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 | 450.2.w.a.23.8 | ✓ | 480 | |
9.2 | odd | 6 | inner | 450.2.w.a.173.27 | yes | 480 | |
25.12 | odd | 20 | inner | 450.2.w.a.437.27 | yes | 480 | |
225.137 | even | 60 | inner | 450.2.w.a.137.8 | yes | 480 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
450.2.w.a.23.8 | ✓ | 480 | 1.1 | even | 1 | trivial | |
450.2.w.a.137.8 | yes | 480 | 225.137 | even | 60 | inner | |
450.2.w.a.173.27 | yes | 480 | 9.2 | odd | 6 | inner | |
450.2.w.a.437.27 | yes | 480 | 25.12 | odd | 20 | inner |