Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [378,2,Mod(43,378)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(378, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([4, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("378.43");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 378 = 2 \cdot 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 378.u (of order \(9\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.01834519640\) |
Analytic rank: | \(0\) |
Dimension: | \(36\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 43.1 | ||
Character | \(\chi\) | \(=\) | 378.43 |
Dual form | 378.2.u.e.211.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/378\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(325\) |
\(\chi(n)\) | \(e\left(\frac{2}{9}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.766044 | − | 0.642788i | −0.541675 | − | 0.454519i | ||||
\(3\) | −1.73154 | − | 0.0419083i | −0.999707 | − | 0.0241958i | ||||
\(4\) | 0.173648 | + | 0.984808i | 0.0868241 | + | 0.492404i | ||||
\(5\) | −0.354259 | − | 0.128940i | −0.158429 | − | 0.0576636i | 0.261588 | − | 0.965180i | \(-0.415754\pi\) |
−0.420017 | + | 0.907516i | \(0.637976\pi\) | |||||||
\(6\) | 1.29950 | + | 1.14512i | 0.530519 | + | 0.467493i | ||||
\(7\) | 0.173648 | − | 0.984808i | 0.0656328 | − | 0.372222i | ||||
\(8\) | 0.500000 | − | 0.866025i | 0.176777 | − | 0.306186i | ||||
\(9\) | 2.99649 | + | 0.145132i | 0.998829 | + | 0.0483774i | ||||
\(10\) | 0.188497 | + | 0.326487i | 0.0596081 | + | 0.103244i | ||||
\(11\) | 2.76158 | − | 1.00513i | 0.832648 | − | 0.303059i | 0.109703 | − | 0.993964i | \(-0.465010\pi\) |
0.722945 | + | 0.690905i | \(0.242788\pi\) | |||||||
\(12\) | −0.259408 | − | 1.71251i | −0.0748846 | − | 0.494360i | ||||
\(13\) | −4.07784 | + | 3.42171i | −1.13099 | + | 0.949012i | −0.999107 | − | 0.0422538i | \(-0.986546\pi\) |
−0.131881 | + | 0.991266i | \(0.542102\pi\) | |||||||
\(14\) | −0.766044 | + | 0.642788i | −0.204734 | + | 0.171792i | ||||
\(15\) | 0.608011 | + | 0.238111i | 0.156988 | + | 0.0614801i | ||||
\(16\) | −0.939693 | + | 0.342020i | −0.234923 | + | 0.0855050i | ||||
\(17\) | −3.02781 | − | 5.24432i | −0.734352 | − | 1.27193i | −0.955007 | − | 0.296583i | \(-0.904153\pi\) |
0.220655 | − | 0.975352i | \(-0.429180\pi\) | |||||||
\(18\) | −2.20215 | − | 2.03728i | −0.519053 | − | 0.480192i | ||||
\(19\) | 0.0148207 | − | 0.0256701i | 0.00340009 | − | 0.00588913i | −0.864320 | − | 0.502942i | \(-0.832251\pi\) |
0.867720 | + | 0.497053i | \(0.165584\pi\) | |||||||
\(20\) | 0.0654644 | − | 0.371267i | 0.0146383 | − | 0.0830179i | ||||
\(21\) | −0.341951 | + | 1.69796i | −0.0746198 | + | 0.370525i | ||||
\(22\) | −2.76158 | − | 1.00513i | −0.588771 | − | 0.214295i | ||||
\(23\) | −1.37810 | − | 7.81558i | −0.287353 | − | 1.62966i | −0.696756 | − | 0.717308i | \(-0.745374\pi\) |
0.409403 | − | 0.912354i | \(-0.365737\pi\) | |||||||
\(24\) | −0.902066 | + | 1.47861i | −0.184133 | + | 0.301819i | ||||
\(25\) | −3.72135 | − | 3.12258i | −0.744270 | − | 0.624516i | ||||
\(26\) | 5.32324 | 1.04397 | ||||||||
\(27\) | −5.18247 | − | 0.376880i | −0.997366 | − | 0.0725306i | ||||
\(28\) | 1.00000 | 0.188982 | ||||||||
\(29\) | −4.78964 | − | 4.01899i | −0.889415 | − | 0.746308i | 0.0786780 | − | 0.996900i | \(-0.474930\pi\) |
−0.968093 | + | 0.250593i | \(0.919375\pi\) | |||||||
\(30\) | −0.312709 | − | 0.573226i | −0.0570926 | − | 0.104656i | ||||
\(31\) | −0.0693598 | − | 0.393359i | −0.0124574 | − | 0.0706494i | 0.977945 | − | 0.208861i | \(-0.0669757\pi\) |
−0.990403 | + | 0.138212i | \(0.955865\pi\) | |||||||
\(32\) | 0.939693 | + | 0.342020i | 0.166116 | + | 0.0604612i | ||||
\(33\) | −4.82392 | + | 1.62470i | −0.839737 | + | 0.282824i | ||||
\(34\) | −1.05155 | + | 5.96362i | −0.180339 | + | 1.02275i | ||||
\(35\) | −0.188497 | + | 0.326487i | −0.0318619 | + | 0.0551864i | ||||
\(36\) | 0.377407 | + | 2.97617i | 0.0629012 | + | 0.496028i | ||||
\(37\) | 2.75692 | + | 4.77513i | 0.453235 | + | 0.785026i | 0.998585 | − | 0.0531824i | \(-0.0169365\pi\) |
−0.545350 | + | 0.838209i | \(0.683603\pi\) | |||||||
\(38\) | −0.0278537 | + | 0.0101379i | −0.00451847 | + | 0.00164459i | ||||
\(39\) | 7.20435 | − | 5.75395i | 1.15362 | − | 0.921369i | ||||
\(40\) | −0.288795 | + | 0.242327i | −0.0456624 | + | 0.0383153i | ||||
\(41\) | −5.65151 | + | 4.74218i | −0.882617 | + | 0.740604i | −0.966715 | − | 0.255854i | \(-0.917643\pi\) |
0.0840985 | + | 0.996457i | \(0.473199\pi\) | |||||||
\(42\) | 1.35338 | − | 1.08091i | 0.208831 | − | 0.166788i | ||||
\(43\) | −1.46070 | + | 0.531651i | −0.222755 | + | 0.0810760i | −0.450987 | − | 0.892531i | \(-0.648928\pi\) |
0.228232 | + | 0.973607i | \(0.426706\pi\) | |||||||
\(44\) | 1.46941 | + | 2.54509i | 0.221521 | + | 0.383686i | ||||
\(45\) | −1.04282 | − | 0.437781i | −0.155454 | − | 0.0652605i | ||||
\(46\) | −3.96807 | + | 6.87291i | −0.585061 | + | 1.01335i | ||||
\(47\) | 1.89209 | − | 10.7306i | 0.275990 | − | 1.56522i | −0.459808 | − | 0.888018i | \(-0.652082\pi\) |
0.735799 | − | 0.677200i | \(-0.236807\pi\) | |||||||
\(48\) | 1.64145 | − | 0.552842i | 0.236923 | − | 0.0797959i | ||||
\(49\) | −0.939693 | − | 0.342020i | −0.134242 | − | 0.0488600i | ||||
\(50\) | 0.843561 | + | 4.78407i | 0.119298 | + | 0.676570i | ||||
\(51\) | 5.02301 | + | 9.20766i | 0.703361 | + | 1.28933i | ||||
\(52\) | −4.07784 | − | 3.42171i | −0.565494 | − | 0.474506i | ||||
\(53\) | −4.70930 | −0.646872 | −0.323436 | − | 0.946250i | \(-0.604838\pi\) | ||||
−0.323436 | + | 0.946250i | \(0.604838\pi\) | |||||||
\(54\) | 3.72775 | + | 3.61993i | 0.507282 | + | 0.492610i | ||||
\(55\) | −1.10792 | −0.149391 | ||||||||
\(56\) | −0.766044 | − | 0.642788i | −0.102367 | − | 0.0858961i | ||||
\(57\) | −0.0267384 | + | 0.0438279i | −0.00354159 | + | 0.00580514i | ||||
\(58\) | 1.08572 | + | 6.15745i | 0.142563 | + | 0.808513i | ||||
\(59\) | 6.22082 | + | 2.26419i | 0.809882 | + | 0.294773i | 0.713575 | − | 0.700579i | \(-0.247075\pi\) |
0.0963068 | + | 0.995352i | \(0.469297\pi\) | |||||||
\(60\) | −0.128914 | + | 0.640122i | −0.0166427 | + | 0.0826394i | ||||
\(61\) | 2.33614 | − | 13.2489i | 0.299112 | − | 1.69635i | −0.350891 | − | 0.936416i | \(-0.614121\pi\) |
0.650003 | − | 0.759932i | \(-0.274768\pi\) | |||||||
\(62\) | −0.199714 | + | 0.345914i | −0.0253637 | + | 0.0439312i | ||||
\(63\) | 0.663262 | − | 2.92576i | 0.0835631 | − | 0.368611i | ||||
\(64\) | −0.500000 | − | 0.866025i | −0.0625000 | − | 0.108253i | ||||
\(65\) | 1.88580 | − | 0.686377i | 0.233905 | − | 0.0851346i | ||||
\(66\) | 4.73967 | + | 1.85617i | 0.583414 | + | 0.228478i | ||||
\(67\) | 9.08087 | − | 7.61975i | 1.10940 | − | 0.930901i | 0.111383 | − | 0.993778i | \(-0.464472\pi\) |
0.998021 | + | 0.0628765i | \(0.0200274\pi\) | |||||||
\(68\) | 4.63887 | − | 3.89248i | 0.562546 | − | 0.472032i | ||||
\(69\) | 2.05870 | + | 13.5908i | 0.247838 | + | 1.63614i | ||||
\(70\) | 0.354259 | − | 0.128940i | 0.0423421 | − | 0.0154112i | ||||
\(71\) | 2.81563 | + | 4.87681i | 0.334154 | + | 0.578771i | 0.983322 | − | 0.181874i | \(-0.0582162\pi\) |
−0.649168 | + | 0.760645i | \(0.724883\pi\) | |||||||
\(72\) | 1.62393 | − | 2.52247i | 0.191382 | − | 0.297276i | ||||
\(73\) | −5.51391 | + | 9.55037i | −0.645354 | + | 1.11779i | 0.338865 | + | 0.940835i | \(0.389957\pi\) |
−0.984220 | + | 0.176951i | \(0.943376\pi\) | |||||||
\(74\) | 0.957469 | − | 5.43007i | 0.111303 | − | 0.631233i | ||||
\(75\) | 6.31282 | + | 5.56284i | 0.728941 | + | 0.642342i | ||||
\(76\) | 0.0278537 | + | 0.0101379i | 0.00319504 | + | 0.00116290i | ||||
\(77\) | −0.510319 | − | 2.89417i | −0.0581563 | − | 0.329821i | ||||
\(78\) | −9.21742 | − | 0.223088i | −1.04367 | − | 0.0252597i | ||||
\(79\) | −3.32945 | − | 2.79374i | −0.374592 | − | 0.314320i | 0.435983 | − | 0.899955i | \(-0.356401\pi\) |
−0.810575 | + | 0.585635i | \(0.800845\pi\) | |||||||
\(80\) | 0.376995 | 0.0421493 | ||||||||
\(81\) | 8.95787 | + | 0.869773i | 0.995319 | + | 0.0966414i | ||||
\(82\) | 7.37752 | 0.814710 | ||||||||
\(83\) | 8.38962 | + | 7.03973i | 0.920880 | + | 0.772710i | 0.974158 | − | 0.225869i | \(-0.0725222\pi\) |
−0.0532772 | + | 0.998580i | \(0.516967\pi\) | |||||||
\(84\) | −1.73154 | − | 0.0419083i | −0.188927 | − | 0.00457257i | ||||
\(85\) | 0.396428 | + | 2.24825i | 0.0429986 | + | 0.243857i | ||||
\(86\) | 1.46070 | + | 0.531651i | 0.157511 | + | 0.0573294i | ||||
\(87\) | 8.12505 | + | 7.15978i | 0.871097 | + | 0.767609i | ||||
\(88\) | 0.510319 | − | 2.89417i | 0.0544002 | − | 0.308519i | ||||
\(89\) | 1.32012 | − | 2.28652i | 0.139933 | − | 0.242371i | −0.787538 | − | 0.616266i | \(-0.788645\pi\) |
0.927471 | + | 0.373895i | \(0.121978\pi\) | |||||||
\(90\) | 0.517446 | + | 1.00567i | 0.0545436 | + | 0.106007i | ||||
\(91\) | 2.66162 | + | 4.61006i | 0.279013 | + | 0.483265i | ||||
\(92\) | 7.45754 | − | 2.71432i | 0.777502 | − | 0.282988i | ||||
\(93\) | 0.103615 | + | 0.684025i | 0.0107443 | + | 0.0709301i | ||||
\(94\) | −8.34692 | + | 7.00390i | −0.860919 | + | 0.722397i | ||||
\(95\) | −0.00856026 | + | 0.00718291i | −0.000878264 | + | 0.000736951i | ||||
\(96\) | −1.61279 | − | 0.631604i | −0.164604 | − | 0.0644628i | ||||
\(97\) | −8.37922 | + | 3.04979i | −0.850781 | + | 0.309659i | −0.730359 | − | 0.683064i | \(-0.760647\pi\) |
−0.120422 | + | 0.992723i | \(0.538425\pi\) | |||||||
\(98\) | 0.500000 | + | 0.866025i | 0.0505076 | + | 0.0874818i | ||||
\(99\) | 8.42092 | − | 2.61107i | 0.846334 | − | 0.262423i | ||||
\(100\) | 2.42894 | − | 4.20704i | 0.242894 | − | 0.420704i | ||||
\(101\) | 1.73102 | − | 9.81708i | 0.172242 | − | 0.976836i | −0.769036 | − | 0.639205i | \(-0.779263\pi\) |
0.941279 | − | 0.337631i | \(-0.109625\pi\) | |||||||
\(102\) | 2.07073 | − | 10.2822i | 0.205032 | − | 1.01809i | ||||
\(103\) | −10.0456 | − | 3.65630i | −0.989823 | − | 0.360266i | −0.204171 | − | 0.978935i | \(-0.565450\pi\) |
−0.785652 | + | 0.618669i | \(0.787672\pi\) | |||||||
\(104\) | 0.924370 | + | 5.24236i | 0.0906420 | + | 0.514056i | ||||
\(105\) | 0.340074 | − | 0.557427i | 0.0331878 | − | 0.0543993i | ||||
\(106\) | 3.60753 | + | 3.02708i | 0.350395 | + | 0.294016i | ||||
\(107\) | −13.4386 | −1.29916 | −0.649579 | − | 0.760294i | \(-0.725055\pi\) | ||||
−0.649579 | + | 0.760294i | \(0.725055\pi\) | |||||||
\(108\) | −0.528771 | − | 5.16918i | −0.0508810 | − | 0.497404i | ||||
\(109\) | 16.7418 | 1.60357 | 0.801786 | − | 0.597611i | \(-0.203883\pi\) | ||||
0.801786 | + | 0.597611i | \(0.203883\pi\) | |||||||
\(110\) | 0.848713 | + | 0.712155i | 0.0809216 | + | 0.0679013i | ||||
\(111\) | −4.57361 | − | 8.38388i | −0.434108 | − | 0.795763i | ||||
\(112\) | 0.173648 | + | 0.984808i | 0.0164082 | + | 0.0930556i | ||||
\(113\) | 6.34575 | + | 2.30966i | 0.596958 | + | 0.217275i | 0.622787 | − | 0.782392i | \(-0.286000\pi\) |
−0.0258292 | + | 0.999666i | \(0.508223\pi\) | |||||||
\(114\) | 0.0486548 | − | 0.0163870i | 0.00455694 | − | 0.00153478i | ||||
\(115\) | −0.519536 | + | 2.94643i | −0.0484469 | + | 0.274756i | ||||
\(116\) | 3.12622 | − | 5.41477i | 0.290262 | − | 0.502749i | ||||
\(117\) | −12.7158 | + | 9.66129i | −1.17557 | + | 0.893186i | ||||
\(118\) | −3.31003 | − | 5.73314i | −0.304713 | − | 0.527778i | ||||
\(119\) | −5.69042 | + | 2.07114i | −0.521640 | + | 0.189861i | ||||
\(120\) | 0.510216 | − | 0.407498i | 0.0465761 | − | 0.0371993i | ||||
\(121\) | −1.81045 | + | 1.51915i | −0.164587 | + | 0.138105i | ||||
\(122\) | −10.3058 | + | 8.64761i | −0.933045 | + | 0.782917i | ||||
\(123\) | 9.98457 | − | 7.97444i | 0.900278 | − | 0.719031i | ||||
\(124\) | 0.375339 | − | 0.136612i | 0.0337064 | − | 0.0122681i | ||||
\(125\) | 1.85818 | + | 3.21847i | 0.166201 | + | 0.287868i | ||||
\(126\) | −2.38873 | + | 1.81493i | −0.212805 | + | 0.161687i | ||||
\(127\) | 3.95711 | − | 6.85392i | 0.351137 | − | 0.608187i | −0.635312 | − | 0.772256i | \(-0.719129\pi\) |
0.986449 | + | 0.164069i | \(0.0524619\pi\) | |||||||
\(128\) | −0.173648 | + | 0.984808i | −0.0153485 | + | 0.0870455i | ||||
\(129\) | 2.55155 | − | 0.859362i | 0.224651 | − | 0.0756626i | ||||
\(130\) | −1.88580 | − | 0.686377i | −0.165396 | − | 0.0601992i | ||||
\(131\) | 1.93831 | + | 10.9927i | 0.169351 | + | 0.960438i | 0.944464 | + | 0.328615i | \(0.106582\pi\) |
−0.775113 | + | 0.631823i | \(0.782307\pi\) | |||||||
\(132\) | −2.43768 | − | 4.46851i | −0.212173 | − | 0.388934i | ||||
\(133\) | −0.0227066 | − | 0.0190531i | −0.00196891 | − | 0.00165211i | ||||
\(134\) | −11.8542 | −1.02405 | ||||||||
\(135\) | 1.78734 | + | 0.801739i | 0.153830 | + | 0.0690027i | ||||
\(136\) | −6.05562 | −0.519265 | ||||||||
\(137\) | −3.58586 | − | 3.00889i | −0.306361 | − | 0.257067i | 0.476625 | − | 0.879107i | \(-0.341860\pi\) |
−0.782986 | + | 0.622039i | \(0.786304\pi\) | |||||||
\(138\) | 7.15893 | − | 11.7344i | 0.609408 | − | 0.998902i | ||||
\(139\) | −0.957111 | − | 5.42804i | −0.0811811 | − | 0.460401i | −0.998116 | − | 0.0613629i | \(-0.980455\pi\) |
0.916934 | − | 0.399038i | \(-0.130656\pi\) | |||||||
\(140\) | −0.354259 | − | 0.128940i | −0.0299404 | − | 0.0108974i | ||||
\(141\) | −3.72594 | + | 18.5012i | −0.313781 | + | 1.55808i | ||||
\(142\) | 0.977858 | − | 5.54571i | 0.0820600 | − | 0.465385i | ||||
\(143\) | −7.82200 | + | 13.5481i | −0.654108 | + | 1.13295i | ||||
\(144\) | −2.86542 | + | 0.888480i | −0.238785 | + | 0.0740400i | ||||
\(145\) | 1.17857 | + | 2.04134i | 0.0978747 | + | 0.169524i | ||||
\(146\) | 10.3628 | − | 3.77174i | 0.857628 | − | 0.312151i | ||||
\(147\) | 1.61279 | + | 0.631604i | 0.133020 | + | 0.0520938i | ||||
\(148\) | −4.22385 | + | 3.54423i | −0.347198 | + | 0.291334i | ||||
\(149\) | −7.35921 | + | 6.17511i | −0.602890 | + | 0.505885i | −0.892373 | − | 0.451298i | \(-0.850961\pi\) |
0.289483 | + | 0.957183i | \(0.406517\pi\) | |||||||
\(150\) | −1.26017 | − | 8.31918i | −0.102893 | − | 0.679259i | ||||
\(151\) | −7.66062 | + | 2.78824i | −0.623412 | + | 0.226903i | −0.634361 | − | 0.773037i | \(-0.718737\pi\) |
0.0109494 | + | 0.999940i | \(0.496515\pi\) | |||||||
\(152\) | −0.0148207 | − | 0.0256701i | −0.00120211 | − | 0.00208212i | ||||
\(153\) | −8.31168 | − | 16.1540i | −0.671959 | − | 1.30597i | ||||
\(154\) | −1.46941 | + | 2.54509i | −0.118408 | + | 0.205089i | ||||
\(155\) | −0.0261483 | + | 0.148294i | −0.00210028 | + | 0.0119113i | ||||
\(156\) | 6.91755 | + | 6.09574i | 0.553847 | + | 0.488050i | ||||
\(157\) | 10.7210 | + | 3.90213i | 0.855629 | + | 0.311424i | 0.732333 | − | 0.680946i | \(-0.238431\pi\) |
0.123296 | + | 0.992370i | \(0.460654\pi\) | |||||||
\(158\) | 0.754725 | + | 4.28026i | 0.0600427 | + | 0.340519i | ||||
\(159\) | 8.15436 | + | 0.197359i | 0.646683 | + | 0.0156516i | ||||
\(160\) | −0.288795 | − | 0.242327i | −0.0228312 | − | 0.0191577i | ||||
\(161\) | −7.93615 | −0.625456 | ||||||||
\(162\) | −6.30305 | − | 6.42429i | −0.495214 | − | 0.504740i | ||||
\(163\) | 23.3555 | 1.82934 | 0.914671 | − | 0.404199i | \(-0.132450\pi\) | ||||
0.914671 | + | 0.404199i | \(0.132450\pi\) | |||||||
\(164\) | −5.65151 | − | 4.74218i | −0.441308 | − | 0.370302i | ||||
\(165\) | 1.91841 | + | 0.0464309i | 0.149348 | + | 0.00361464i | ||||
\(166\) | −1.90177 | − | 10.7855i | −0.147606 | − | 0.837116i | ||||
\(167\) | −1.79783 | − | 0.654357i | −0.139120 | − | 0.0506357i | 0.271522 | − | 0.962432i | \(-0.412473\pi\) |
−0.410642 | + | 0.911797i | \(0.634695\pi\) | |||||||
\(168\) | 1.29950 | + | 1.14512i | 0.100259 | + | 0.0883478i | ||||
\(169\) | 2.66322 | − | 15.1038i | 0.204863 | − | 1.16183i | ||||
\(170\) | 1.14147 | − | 1.97708i | 0.0875466 | − | 0.151635i | ||||
\(171\) | 0.0481355 | − | 0.0747693i | 0.00368101 | − | 0.00571775i | ||||
\(172\) | −0.777222 | − | 1.34619i | −0.0592626 | − | 0.102646i | ||||
\(173\) | −6.68321 | + | 2.43249i | −0.508115 | + | 0.184939i | −0.583340 | − | 0.812228i | \(-0.698255\pi\) |
0.0752253 | + | 0.997167i | \(0.476032\pi\) | |||||||
\(174\) | −1.62193 | − | 10.7074i | −0.122958 | − | 0.811725i | ||||
\(175\) | −3.72135 | + | 3.12258i | −0.281307 | + | 0.236045i | ||||
\(176\) | −2.25126 | + | 1.88903i | −0.169695 | + | 0.142391i | ||||
\(177\) | −10.6767 | − | 4.18125i | −0.802512 | − | 0.314282i | ||||
\(178\) | −2.48102 | + | 0.903017i | −0.185960 | + | 0.0676840i | ||||
\(179\) | −8.64693 | − | 14.9769i | −0.646302 | − | 1.11943i | −0.983999 | − | 0.178172i | \(-0.942981\pi\) |
0.337698 | − | 0.941255i | \(-0.390352\pi\) | |||||||
\(180\) | 0.250046 | − | 1.10300i | 0.0186373 | − | 0.0822125i | ||||
\(181\) | −6.36372 | + | 11.0223i | −0.473011 | + | 0.819280i | −0.999523 | − | 0.0308884i | \(-0.990166\pi\) |
0.526512 | + | 0.850168i | \(0.323500\pi\) | |||||||
\(182\) | 0.924370 | − | 5.24236i | 0.0685189 | − | 0.388590i | ||||
\(183\) | −4.60036 | + | 22.8431i | −0.340069 | + | 1.68861i | ||||
\(184\) | −7.45754 | − | 2.71432i | −0.549777 | − | 0.200103i | ||||
\(185\) | −0.360961 | − | 2.04711i | −0.0265383 | − | 0.150506i | ||||
\(186\) | 0.360310 | − | 0.590596i | 0.0264192 | − | 0.0433046i | ||||
\(187\) | −13.6328 | − | 11.4393i | −0.996928 | − | 0.836522i | ||||
\(188\) | 10.8961 | 0.794682 | ||||||||
\(189\) | −1.27108 | + | 5.03829i | −0.0924575 | + | 0.366482i | ||||
\(190\) | 0.0111746 | 0.000810692 | ||||||||
\(191\) | 1.15435 | + | 0.968616i | 0.0835260 | + | 0.0700866i | 0.683595 | − | 0.729862i | \(-0.260416\pi\) |
−0.600069 | + | 0.799948i | \(0.704860\pi\) | |||||||
\(192\) | 0.829478 | + | 1.52052i | 0.0598624 | + | 0.109734i | ||||
\(193\) | 2.34333 | + | 13.2897i | 0.168677 | + | 0.956612i | 0.945192 | + | 0.326514i | \(0.105874\pi\) |
−0.776516 | + | 0.630098i | \(0.783015\pi\) | |||||||
\(194\) | 8.37922 | + | 3.04979i | 0.601593 | + | 0.218962i | ||||
\(195\) | −3.29412 | + | 1.10946i | −0.235897 | + | 0.0794501i | ||||
\(196\) | 0.173648 | − | 0.984808i | 0.0124034 | − | 0.0703434i | ||||
\(197\) | −7.15804 | + | 12.3981i | −0.509989 | + | 0.883327i | 0.489944 | + | 0.871754i | \(0.337017\pi\) |
−0.999933 | + | 0.0115731i | \(0.996316\pi\) | |||||||
\(198\) | −8.12916 | − | 3.41266i | −0.577715 | − | 0.242527i | ||||
\(199\) | −3.61010 | − | 6.25288i | −0.255913 | − | 0.443255i | 0.709230 | − | 0.704977i | \(-0.249043\pi\) |
−0.965143 | + | 0.261723i | \(0.915709\pi\) | |||||||
\(200\) | −4.56491 | + | 1.66149i | −0.322788 | + | 0.117485i | ||||
\(201\) | −16.0433 | + | 12.8134i | −1.13160 | + | 0.903786i | ||||
\(202\) | −7.63633 | + | 6.40764i | −0.537290 | + | 0.450840i | ||||
\(203\) | −4.78964 | + | 4.01899i | −0.336167 | + | 0.282078i | ||||
\(204\) | −8.19554 | + | 6.54559i | −0.573803 | + | 0.458283i | ||||
\(205\) | 2.61355 | − | 0.951255i | 0.182538 | − | 0.0664385i | ||||
\(206\) | 5.34516 | + | 9.25808i | 0.372415 | + | 0.645041i | ||||
\(207\) | −2.99516 | − | 23.6193i | −0.208178 | − | 1.64165i | ||||
\(208\) | 2.66162 | − | 4.61006i | 0.184550 | − | 0.319650i | ||||
\(209\) | 0.0151265 | − | 0.0857869i | 0.00104633 | − | 0.00593400i | ||||
\(210\) | −0.618819 | + | 0.208418i | −0.0427025 | + | 0.0143822i | ||||
\(211\) | 15.1581 | + | 5.51709i | 1.04353 | + | 0.379812i | 0.806216 | − | 0.591622i | \(-0.201512\pi\) |
0.237310 | + | 0.971434i | \(0.423734\pi\) | |||||||
\(212\) | −0.817761 | − | 4.63776i | −0.0561641 | − | 0.318522i | ||||
\(213\) | −4.67101 | − | 8.56241i | −0.320052 | − | 0.586687i | ||||
\(214\) | 10.2946 | + | 8.63816i | 0.703722 | + | 0.590493i | ||||
\(215\) | 0.586017 | 0.0399660 | ||||||||
\(216\) | −2.91762 | + | 4.29971i | −0.198519 | + | 0.292558i | ||||
\(217\) | −0.399427 | −0.0271149 | ||||||||
\(218\) | −12.8250 | − | 10.7614i | −0.868615 | − | 0.728855i | ||||
\(219\) | 9.94781 | − | 16.3058i | 0.672211 | − | 1.10184i | ||||
\(220\) | −0.192388 | − | 1.09108i | −0.0129708 | − | 0.0735609i | ||||
\(221\) | 30.2915 | + | 11.0252i | 2.03762 | + | 0.741635i | ||||
\(222\) | −1.88546 | + | 9.36229i | −0.126544 | + | 0.628356i | ||||
\(223\) | 3.92494 | − | 22.2594i | 0.262833 | − | 1.49060i | −0.512301 | − | 0.858806i | \(-0.671207\pi\) |
0.775134 | − | 0.631797i | \(-0.217682\pi\) | |||||||
\(224\) | 0.500000 | − | 0.866025i | 0.0334077 | − | 0.0578638i | ||||
\(225\) | −10.6978 | − | 9.89686i | −0.713186 | − | 0.659791i | ||||
\(226\) | −3.37650 | − | 5.84827i | −0.224601 | − | 0.389021i | ||||
\(227\) | 7.44318 | − | 2.70910i | 0.494021 | − | 0.179809i | −0.0829817 | − | 0.996551i | \(-0.526444\pi\) |
0.577003 | + | 0.816742i | \(0.304222\pi\) | |||||||
\(228\) | −0.0478051 | − | 0.0187216i | −0.00316597 | − | 0.00123987i | ||||
\(229\) | 14.3258 | − | 12.0207i | 0.946673 | − | 0.794353i | −0.0320608 | − | 0.999486i | \(-0.510207\pi\) |
0.978734 | + | 0.205133i | \(0.0657626\pi\) | |||||||
\(230\) | 2.29192 | − | 1.92315i | 0.151125 | − | 0.126809i | ||||
\(231\) | 0.762351 | + | 5.03276i | 0.0501590 | + | 0.331131i | ||||
\(232\) | −5.87537 | + | 2.13846i | −0.385737 | + | 0.140397i | ||||
\(233\) | −6.34970 | − | 10.9980i | −0.415983 | − | 0.720503i | 0.579548 | − | 0.814938i | \(-0.303229\pi\) |
−0.995531 | + | 0.0944346i | \(0.969896\pi\) | |||||||
\(234\) | 15.9510 | + | 0.772572i | 1.04275 | + | 0.0505046i | ||||
\(235\) | −2.05389 | + | 3.55745i | −0.133981 | + | 0.232062i | ||||
\(236\) | −1.14956 | + | 6.51949i | −0.0748301 | + | 0.424382i | ||||
\(237\) | 5.64801 | + | 4.97701i | 0.366877 | + | 0.323292i | ||||
\(238\) | 5.69042 | + | 2.07114i | 0.368855 | + | 0.134252i | ||||
\(239\) | 1.40675 | + | 7.97805i | 0.0909948 | + | 0.516057i | 0.995901 | + | 0.0904468i | \(0.0288295\pi\) |
−0.904906 | + | 0.425610i | \(0.860059\pi\) | |||||||
\(240\) | −0.652783 | − | 0.0157992i | −0.0421369 | − | 0.00101983i | ||||
\(241\) | 9.64070 | + | 8.08951i | 0.621012 | + | 0.521091i | 0.898121 | − | 0.439747i | \(-0.144932\pi\) |
−0.277110 | + | 0.960838i | \(0.589376\pi\) | |||||||
\(242\) | 2.36338 | 0.151924 | ||||||||
\(243\) | −15.4745 | − | 1.88146i | −0.992690 | − | 0.120696i | ||||
\(244\) | 13.4533 | 0.861258 | ||||||||
\(245\) | 0.288795 | + | 0.242327i | 0.0184504 | + | 0.0154817i | ||||
\(246\) | −12.7745 | − | 0.309179i | −0.814472 | − | 0.0197125i | ||||
\(247\) | 0.0273996 | + | 0.155391i | 0.00174339 | + | 0.00988727i | ||||
\(248\) | −0.375339 | − | 0.136612i | −0.0238341 | − | 0.00867489i | ||||
\(249\) | −14.2320 | − | 12.5412i | −0.901915 | − | 0.794766i | ||||
\(250\) | 0.645340 | − | 3.65991i | 0.0408149 | − | 0.231473i | ||||
\(251\) | −9.72987 | + | 16.8526i | −0.614144 | + | 1.06373i | 0.376390 | + | 0.926461i | \(0.377165\pi\) |
−0.990534 | + | 0.137267i | \(0.956168\pi\) | |||||||
\(252\) | 2.99649 | + | 0.145132i | 0.188761 | + | 0.00914246i | ||||
\(253\) | −11.6614 | − | 20.1982i | −0.733148 | − | 1.26985i | ||||
\(254\) | −7.43694 | + | 2.70682i | −0.466635 | + | 0.169841i | ||||
\(255\) | −0.592211 | − | 3.90956i | −0.0370857 | − | 0.244826i | ||||
\(256\) | 0.766044 | − | 0.642788i | 0.0478778 | − | 0.0401742i | ||||
\(257\) | 14.1241 | − | 11.8516i | 0.881039 | − | 0.739280i | −0.0853532 | − | 0.996351i | \(-0.527202\pi\) |
0.966393 | + | 0.257071i | \(0.0827574\pi\) | |||||||
\(258\) | −2.50698 | − | 0.981793i | −0.156078 | − | 0.0611237i | ||||
\(259\) | 5.18132 | − | 1.88585i | 0.321951 | − | 0.117181i | ||||
\(260\) | 1.00342 | + | 1.73797i | 0.0622292 | + | 0.107784i | ||||
\(261\) | −13.7688 | − | 12.7380i | −0.852269 | − | 0.788461i | ||||
\(262\) | 5.58115 | − | 9.66683i | 0.344804 | − | 0.597219i | ||||
\(263\) | −1.96417 | + | 11.1394i | −0.121116 | + | 0.686884i | 0.862423 | + | 0.506188i | \(0.168946\pi\) |
−0.983539 | + | 0.180695i | \(0.942165\pi\) | |||||||
\(264\) | −1.00493 | + | 4.98999i | −0.0618492 | + | 0.307113i | ||||
\(265\) | 1.66831 | + | 0.607216i | 0.102484 | + | 0.0373010i | ||||
\(266\) | 0.00514716 | + | 0.0291910i | 0.000315593 | + | 0.00178982i | ||||
\(267\) | −2.38167 | + | 3.90388i | −0.145756 | + | 0.238914i | ||||
\(268\) | 9.08087 | + | 7.61975i | 0.554702 | + | 0.465451i | ||||
\(269\) | −15.6563 | −0.954583 | −0.477291 | − | 0.878745i | \(-0.658381\pi\) | ||||
−0.477291 | + | 0.878745i | \(0.658381\pi\) | |||||||
\(270\) | −0.853835 | − | 1.76305i | −0.0519627 | − | 0.107296i | ||||
\(271\) | 7.79979 | 0.473803 | 0.236902 | − | 0.971534i | \(-0.423868\pi\) | ||||
0.236902 | + | 0.971534i | \(0.423868\pi\) | |||||||
\(272\) | 4.63887 | + | 3.89248i | 0.281273 | + | 0.236016i | ||||
\(273\) | −4.41551 | − | 8.09406i | −0.267239 | − | 0.489875i | ||||
\(274\) | 0.812848 | + | 4.60989i | 0.0491060 | + | 0.278494i | ||||
\(275\) | −13.4154 | − | 4.88281i | −0.808980 | − | 0.294445i | ||||
\(276\) | −13.0268 | + | 4.38744i | −0.784122 | + | 0.264093i | ||||
\(277\) | −1.29026 | + | 7.31740i | −0.0775239 | + | 0.439660i | 0.921197 | + | 0.389097i | \(0.127213\pi\) |
−0.998721 | + | 0.0505634i | \(0.983898\pi\) | |||||||
\(278\) | −2.75589 | + | 4.77334i | −0.165287 | + | 0.286286i | ||||
\(279\) | −0.150747 | − | 1.18876i | −0.00902498 | − | 0.0711693i | ||||
\(280\) | 0.188497 | + | 0.326487i | 0.0112649 | + | 0.0195113i | ||||
\(281\) | 22.1181 | − | 8.05031i | 1.31945 | − | 0.480241i | 0.416170 | − | 0.909287i | \(-0.363372\pi\) |
0.903283 | + | 0.429046i | \(0.141150\pi\) | |||||||
\(282\) | 14.7466 | − | 11.7778i | 0.878146 | − | 0.701355i | ||||
\(283\) | −14.1578 | + | 11.8798i | −0.841594 | + | 0.706181i | −0.957922 | − | 0.287030i | \(-0.907332\pi\) |
0.116328 | + | 0.993211i | \(0.462888\pi\) | |||||||
\(284\) | −4.31379 | + | 3.61970i | −0.255977 | + | 0.214790i | ||||
\(285\) | 0.0151235 | − | 0.0120788i | 0.000895838 | − | 0.000715485i | ||||
\(286\) | 14.7005 | − | 5.35056i | 0.869262 | − | 0.316385i | ||||
\(287\) | 3.68876 | + | 6.38912i | 0.217741 | + | 0.377138i | ||||
\(288\) | 2.76614 | + | 1.16124i | 0.162996 | + | 0.0684266i | ||||
\(289\) | −9.83527 | + | 17.0352i | −0.578545 | + | 1.00207i | ||||
\(290\) | 0.409312 | − | 2.32132i | 0.0240356 | − | 0.136313i | ||||
\(291\) | 14.6368 | − | 4.92968i | 0.858024 | − | 0.288983i | ||||
\(292\) | −10.3628 | − | 3.77174i | −0.606435 | − | 0.220724i | ||||
\(293\) | −1.78660 | − | 10.1323i | −0.104374 | − | 0.591935i | −0.991468 | − | 0.130347i | \(-0.958391\pi\) |
0.887094 | − | 0.461588i | \(-0.152720\pi\) | |||||||
\(294\) | −0.829478 | − | 1.52052i | −0.0483762 | − | 0.0886782i | ||||
\(295\) | −1.91184 | − | 1.60422i | −0.111311 | − | 0.0934014i | ||||
\(296\) | 5.51384 | 0.320486 | ||||||||
\(297\) | −14.6906 | + | 4.16828i | −0.852436 | + | 0.241868i | ||||
\(298\) | 9.60677 | 0.556505 | ||||||||
\(299\) | 32.3623 | + | 27.1552i | 1.87156 | + | 1.57043i | ||||
\(300\) | −4.38212 | + | 7.18289i | −0.253002 | + | 0.414704i | ||||
\(301\) | 0.269926 | + | 1.53083i | 0.0155583 | + | 0.0882355i | ||||
\(302\) | 7.66062 | + | 2.78824i | 0.440819 | + | 0.160445i | ||||
\(303\) | −3.40875 | + | 16.9262i | −0.195827 | + | 0.972382i | ||||
\(304\) | −0.00514716 | + | 0.0291910i | −0.000295210 | + | 0.00167422i | ||||
\(305\) | −2.53591 | + | 4.39232i | −0.145206 | + | 0.251504i | ||||
\(306\) | −4.01646 | + | 17.7173i | −0.229606 | + | 1.01283i | ||||
\(307\) | −4.07441 | − | 7.05709i | −0.232539 | − | 0.402769i | 0.726016 | − | 0.687678i | \(-0.241370\pi\) |
−0.958555 | + | 0.284909i | \(0.908037\pi\) | |||||||
\(308\) | 2.76158 | − | 1.00513i | 0.157356 | − | 0.0572728i | ||||
\(309\) | 17.2412 | + | 6.75204i | 0.980816 | + | 0.384110i | ||||
\(310\) | 0.115353 | − | 0.0967922i | 0.00655158 | − | 0.00549743i | ||||
\(311\) | 10.9893 | − | 9.22115i | 0.623149 | − | 0.522884i | −0.275643 | − | 0.961260i | \(-0.588891\pi\) |
0.898791 | + | 0.438376i | \(0.144446\pi\) | |||||||
\(312\) | −1.38089 | − | 9.11612i | −0.0781774 | − | 0.516099i | ||||
\(313\) | 13.8251 | − | 5.03194i | 0.781443 | − | 0.284422i | 0.0796686 | − | 0.996821i | \(-0.474614\pi\) |
0.701774 | + | 0.712399i | \(0.252392\pi\) | |||||||
\(314\) | −5.70453 | − | 9.88053i | −0.321925 | − | 0.557591i | ||||
\(315\) | −0.612214 | + | 0.950957i | −0.0344943 | + | 0.0535804i | ||||
\(316\) | 2.17314 | − | 3.76399i | 0.122249 | − | 0.211741i | ||||
\(317\) | 0.654977 | − | 3.71456i | 0.0367871 | − | 0.208630i | −0.960874 | − | 0.276986i | \(-0.910664\pi\) |
0.997661 | + | 0.0683561i | \(0.0217754\pi\) | |||||||
\(318\) | −6.11974 | − | 5.39271i | −0.343178 | − | 0.302408i | ||||
\(319\) | −17.2666 | − | 6.28453i | −0.966745 | − | 0.351866i | ||||
\(320\) | 0.0654644 | + | 0.371267i | 0.00365957 | + | 0.0207545i | ||||
\(321\) | 23.2695 | + | 0.563189i | 1.29878 | + | 0.0314341i | ||||
\(322\) | 6.07944 | + | 5.10126i | 0.338794 | + | 0.284282i | ||||
\(323\) | −0.179497 | −0.00998746 | ||||||||
\(324\) | 0.698959 | + | 8.97282i | 0.0388311 | + | 0.498490i | ||||
\(325\) | 25.8596 | 1.43443 | ||||||||
\(326\) | −17.8913 | − | 15.0126i | −0.990909 | − | 0.831472i | ||||
\(327\) | −28.9891 | − | 0.701620i | −1.60310 | − | 0.0387997i | ||||
\(328\) | 1.28109 | + | 7.26544i | 0.0707365 | + | 0.401167i | ||||
\(329\) | −10.2390 | − | 3.72670i | −0.564495 | − | 0.205459i | ||||
\(330\) | −1.43974 | − | 1.26870i | −0.0792550 | − | 0.0698394i | ||||
\(331\) | −3.90834 | + | 22.1653i | −0.214822 | + | 1.21832i | 0.666393 | + | 0.745601i | \(0.267837\pi\) |
−0.881215 | + | 0.472716i | \(0.843274\pi\) | |||||||
\(332\) | −5.47594 | + | 9.48460i | −0.300531 | + | 0.520535i | ||||
\(333\) | 7.56806 | + | 14.7087i | 0.414727 | + | 0.806033i | ||||
\(334\) | 0.956606 | + | 1.65689i | 0.0523431 | + | 0.0906610i | ||||
\(335\) | −4.19947 | + | 1.52848i | −0.229442 | + | 0.0835099i | ||||
\(336\) | −0.259408 | − | 1.71251i | −0.0141519 | − | 0.0934254i | ||||
\(337\) | 21.9585 | − | 18.4254i | 1.19616 | − | 1.00369i | 0.196424 | − | 0.980519i | \(-0.437067\pi\) |
0.999731 | − | 0.0231744i | \(-0.00737731\pi\) | |||||||
\(338\) | −11.7487 | + | 9.85833i | −0.639045 | + | 0.536223i | ||||
\(339\) | −10.8911 | − | 4.26522i | −0.591526 | − | 0.231655i | ||||
\(340\) | −2.14526 | + | 0.780810i | −0.116343 | + | 0.0423454i | ||||
\(341\) | −0.586921 | − | 1.01658i | −0.0317836 | − | 0.0550508i | ||||
\(342\) | −0.0849347 | + | 0.0263357i | −0.00459274 | + | 0.00142407i | ||||
\(343\) | −0.500000 | + | 0.866025i | −0.0269975 | + | 0.0467610i | ||||
\(344\) | −0.269926 | + | 1.53083i | −0.0145535 | + | 0.0825367i | ||||
\(345\) | 1.02308 | − | 5.08010i | 0.0550807 | − | 0.273504i | ||||
\(346\) | 6.68321 | + | 2.43249i | 0.359292 | + | 0.130771i | ||||
\(347\) | −0.459583 | − | 2.60643i | −0.0246717 | − | 0.139920i | 0.969984 | − | 0.243170i | \(-0.0781872\pi\) |
−0.994656 | + | 0.103249i | \(0.967076\pi\) | |||||||
\(348\) | −5.64011 | + | 9.24490i | −0.302342 | + | 0.495578i | ||||
\(349\) | −10.2651 | − | 8.61344i | −0.549478 | − | 0.461067i | 0.325286 | − | 0.945616i | \(-0.394539\pi\) |
−0.874764 | + | 0.484549i | \(0.838984\pi\) | |||||||
\(350\) | 4.85788 | 0.259664 | ||||||||
\(351\) | 22.4228 | − | 16.1960i | 1.19684 | − | 0.864481i | ||||
\(352\) | 2.93881 | 0.156639 | ||||||||
\(353\) | −0.153428 | − | 0.128741i | −0.00816613 | − | 0.00685219i | 0.638695 | − | 0.769460i | \(-0.279474\pi\) |
−0.646862 | + | 0.762607i | \(0.723919\pi\) | |||||||
\(354\) | 5.49119 | + | 10.0659i | 0.291854 | + | 0.534996i | ||||
\(355\) | −0.368647 | − | 2.09070i | −0.0195658 | − | 0.110963i | ||||
\(356\) | 2.48102 | + | 0.903017i | 0.131494 | + | 0.0478598i | ||||
\(357\) | 9.94001 | − | 3.34780i | 0.526081 | − | 0.177184i | ||||
\(358\) | −3.00305 | + | 17.0311i | −0.158716 | + | 0.900123i | ||||
\(359\) | 14.6220 | − | 25.3260i | 0.771717 | − | 1.33665i | −0.164904 | − | 0.986310i | \(-0.552731\pi\) |
0.936621 | − | 0.350344i | \(-0.113935\pi\) | |||||||
\(360\) | −0.900539 | + | 0.684218i | −0.0474626 | + | 0.0360614i | ||||
\(361\) | 9.49956 | + | 16.4537i | 0.499977 | + | 0.865985i | ||||
\(362\) | 11.9599 | − | 4.35304i | 0.628597 | − | 0.228791i | ||||
\(363\) | 3.19855 | − | 2.55460i | 0.167880 | − | 0.134082i | ||||
\(364\) | −4.07784 | + | 3.42171i | −0.213737 | + | 0.179346i | ||||
\(365\) | 3.18477 | − | 2.67234i | 0.166699 | − | 0.139877i | ||||
\(366\) | 18.2074 | − | 14.5418i | 0.951715 | − | 0.760112i | ||||
\(367\) | 31.2450 | − | 11.3722i | 1.63097 | − | 0.593626i | 0.645546 | − | 0.763721i | \(-0.276630\pi\) |
0.985428 | + | 0.170095i | \(0.0544074\pi\) | |||||||
\(368\) | 3.96807 | + | 6.87291i | 0.206850 | + | 0.358275i | ||||
\(369\) | −17.6229 | + | 13.3897i | −0.917412 | + | 0.697038i | ||||
\(370\) | −1.03934 | + | 1.80020i | −0.0540329 | + | 0.0935878i | ||||
\(371\) | −0.817761 | + | 4.63776i | −0.0424561 | + | 0.240780i | ||||
\(372\) | −0.655641 | + | 0.220820i | −0.0339934 | + | 0.0114490i | ||||
\(373\) | 26.4031 | + | 9.60994i | 1.36710 | + | 0.497584i | 0.918242 | − | 0.396019i | \(-0.129608\pi\) |
0.448859 | + | 0.893603i | \(0.351831\pi\) | |||||||
\(374\) | 3.09030 | + | 17.5260i | 0.159796 | + | 0.906246i | ||||
\(375\) | −3.08264 | − | 5.65079i | −0.159187 | − | 0.291806i | ||||
\(376\) | −8.34692 | − | 7.00390i | −0.430460 | − | 0.361199i | ||||
\(377\) | 33.2832 | 1.71417 | ||||||||
\(378\) | 4.21225 | − | 3.04252i | 0.216655 | − | 0.156490i | ||||
\(379\) | −6.08047 | −0.312333 | −0.156166 | − | 0.987731i | \(-0.549914\pi\) | ||||
−0.156166 | + | 0.987731i | \(0.549914\pi\) | |||||||
\(380\) | −0.00856026 | − | 0.00718291i | −0.000439132 | − | 0.000368475i | ||||
\(381\) | −7.13915 | + | 11.7020i | −0.365750 | + | 0.599513i | ||||
\(382\) | −0.261670 | − | 1.48401i | −0.0133882 | − | 0.0759284i | ||||
\(383\) | 16.2277 | + | 5.90638i | 0.829194 | + | 0.301802i | 0.721528 | − | 0.692385i | \(-0.243440\pi\) |
0.107666 | + | 0.994187i | \(0.465662\pi\) | |||||||
\(384\) | 0.341951 | − | 1.69796i | 0.0174501 | − | 0.0866487i | ||||
\(385\) | −0.192388 | + | 1.09108i | −0.00980498 | + | 0.0556068i | ||||
\(386\) | 6.74735 | − | 11.6868i | 0.343431 | − | 0.594840i | ||||
\(387\) | −4.45413 | + | 1.38109i | −0.226416 | + | 0.0702048i | ||||
\(388\) | −4.45849 | − | 7.72233i | −0.226346 | − | 0.392042i | ||||
\(389\) | −23.4555 | + | 8.53711i | −1.18924 | + | 0.432848i | −0.859457 | − | 0.511208i | \(-0.829198\pi\) |
−0.329784 | + | 0.944056i | \(0.606976\pi\) | |||||||
\(390\) | 3.23659 | + | 1.26752i | 0.163891 | + | 0.0641835i | ||||
\(391\) | −36.8148 | + | 30.8913i | −1.86180 | + | 1.56224i | ||||
\(392\) | −0.766044 | + | 0.642788i | −0.0386911 | + | 0.0324657i | ||||
\(393\) | −2.89559 | − | 19.1156i | −0.146063 | − | 0.964254i | ||||
\(394\) | 13.4527 | − | 4.89639i | 0.677738 | − | 0.246676i | ||||
\(395\) | 0.819263 | + | 1.41901i | 0.0412216 | + | 0.0713979i | ||||
\(396\) | 4.03368 | + | 7.83958i | 0.202700 | + | 0.393954i | ||||
\(397\) | −8.95530 | + | 15.5110i | −0.449454 | + | 0.778476i | −0.998350 | − | 0.0574137i | \(-0.981715\pi\) |
0.548897 | + | 0.835890i | \(0.315048\pi\) | |||||||
\(398\) | −1.25377 | + | 7.11051i | −0.0628460 | + | 0.356418i | ||||
\(399\) | 0.0385189 | + | 0.0339428i | 0.00192836 | + | 0.00169927i | ||||
\(400\) | 4.56491 | + | 1.66149i | 0.228245 | + | 0.0830746i | ||||
\(401\) | −0.907094 | − | 5.14439i | −0.0452981 | − | 0.256898i | 0.953746 | − | 0.300614i | \(-0.0971916\pi\) |
−0.999044 | + | 0.0437155i | \(0.986080\pi\) | |||||||
\(402\) | 20.5261 | + | 0.496791i | 1.02375 | + | 0.0247777i | ||||
\(403\) | 1.62880 | + | 1.36673i | 0.0811363 | + | 0.0680814i | ||||
\(404\) | 9.96852 | 0.495952 | ||||||||
\(405\) | −3.06126 | − | 1.46315i | −0.152115 | − | 0.0727046i | ||||
\(406\) | 6.25244 | 0.310303 | ||||||||
\(407\) | 12.4131 | + | 10.4158i | 0.615295 | + | 0.516293i | ||||
\(408\) | 10.4856 | + | 0.253781i | 0.519113 | + | 0.0125640i | ||||
\(409\) | 3.82054 | + | 21.6674i | 0.188914 | + | 1.07138i | 0.920823 | + | 0.389980i | \(0.127518\pi\) |
−0.731910 | + | 0.681402i | \(0.761371\pi\) | |||||||
\(410\) | −2.61355 | − | 0.951255i | −0.129074 | − | 0.0469791i | ||||
\(411\) | 6.08298 | + | 5.36031i | 0.300051 | + | 0.264404i | ||||
\(412\) | 1.85635 | − | 10.5279i | 0.0914560 | − | 0.518673i | ||||
\(413\) | 3.31003 | − | 5.73314i | 0.162876 | − | 0.282109i | ||||
\(414\) | −12.8878 | + | 20.0187i | −0.633399 | + | 0.983865i | ||||
\(415\) | −2.06440 | − | 3.57564i | −0.101337 | − | 0.175521i | ||||
\(416\) | −5.00221 | + | 1.82065i | −0.245253 | + | 0.0892649i | ||||
\(417\) | 1.42980 | + | 9.43901i | 0.0700176 | + | 0.462230i | ||||
\(418\) | −0.0667304 | + | 0.0559934i | −0.00326389 | + | 0.00273873i | ||||
\(419\) | 2.89950 | − | 2.43297i | 0.141650 | − | 0.118859i | −0.569209 | − | 0.822193i | \(-0.692751\pi\) |
0.710859 | + | 0.703334i | \(0.248306\pi\) | |||||||
\(420\) | 0.608011 | + | 0.238111i | 0.0296679 | + | 0.0116186i | ||||
\(421\) | −12.9632 | + | 4.71822i | −0.631788 | + | 0.229952i | −0.638009 | − | 0.770029i | \(-0.720242\pi\) |
0.00622128 | + | 0.999981i | \(0.498020\pi\) | |||||||
\(422\) | −8.06545 | − | 13.9698i | −0.392620 | − | 0.680038i | ||||
\(423\) | 7.22699 | − | 31.8795i | 0.351388 | − | 1.55003i | ||||
\(424\) | −2.35465 | + | 4.07837i | −0.114352 | + | 0.198063i | ||||
\(425\) | −5.10829 | + | 28.9705i | −0.247788 | + | 1.40528i | ||||
\(426\) | −1.92561 | + | 9.56165i | −0.0932963 | + | 0.463264i | ||||
\(427\) | −12.6420 | − | 4.60129i | −0.611787 | − | 0.222672i | ||||
\(428\) | −2.33359 | − | 13.2344i | −0.112798 | − | 0.639711i | ||||
\(429\) | 14.1119 | − | 23.1313i | 0.681329 | − | 1.11679i | ||||
\(430\) | −0.448915 | − | 0.376684i | −0.0216486 | − | 0.0181653i | ||||
\(431\) | −38.9069 | −1.87408 | −0.937039 | − | 0.349226i | \(-0.886445\pi\) | ||||
−0.937039 | + | 0.349226i | \(0.886445\pi\) | |||||||
\(432\) | 4.99883 | − | 1.41836i | 0.240506 | − | 0.0682407i | ||||
\(433\) | 12.8732 | 0.618647 | 0.309324 | − | 0.950957i | \(-0.399897\pi\) | ||||
0.309324 | + | 0.950957i | \(0.399897\pi\) | |||||||
\(434\) | 0.305979 | + | 0.256747i | 0.0146875 | + | 0.0123243i | ||||
\(435\) | −1.95519 | − | 3.58406i | −0.0937443 | − | 0.171842i | ||||
\(436\) | 2.90718 | + | 16.4874i | 0.139229 | + | 0.789605i | ||||
\(437\) | −0.221051 | − | 0.0804561i | −0.0105743 | − | 0.00384874i | ||||
\(438\) | −18.1016 | + | 6.09664i | −0.864930 | + | 0.291309i | ||||
\(439\) | 1.98380 | − | 11.2507i | 0.0946817 | − | 0.536967i | −0.900163 | − | 0.435554i | \(-0.856553\pi\) |
0.994844 | − | 0.101413i | \(-0.0323363\pi\) | |||||||
\(440\) | −0.553958 | + | 0.959484i | −0.0264089 | + | 0.0457416i | ||||
\(441\) | −2.76614 | − | 1.16124i | −0.131721 | − | 0.0552971i | ||||
\(442\) | −16.1177 | − | 27.9168i | −0.766643 | − | 1.32786i | ||||
\(443\) | −31.8873 | + | 11.6060i | −1.51501 | + | 0.551419i | −0.959896 | − | 0.280356i | \(-0.909548\pi\) |
−0.555114 | + | 0.831774i | \(0.687325\pi\) | |||||||
\(444\) | 7.46231 | − | 5.95997i | 0.354146 | − | 0.282848i | ||||
\(445\) | −0.762489 | + | 0.639804i | −0.0361454 | + | 0.0303296i | ||||
\(446\) | −17.3148 | + | 14.5288i | −0.819878 | + | 0.687960i | ||||
\(447\) | 13.0016 | − | 10.3841i | 0.614954 | − | 0.491150i | ||||
\(448\) | −0.939693 | + | 0.342020i | −0.0443963 | + | 0.0161589i | ||||
\(449\) | −13.2499 | − | 22.9495i | −0.625301 | − | 1.08305i | −0.988483 | − | 0.151335i | \(-0.951643\pi\) |
0.363182 | − | 0.931718i | \(-0.381690\pi\) | |||||||
\(450\) | 1.83340 | + | 14.4578i | 0.0864272 | + | 0.681549i | ||||
\(451\) | −10.8406 | + | 18.7764i | −0.510463 | + | 0.884147i | ||||
\(452\) | −1.17265 | + | 6.65041i | −0.0551566 | + | 0.312809i | ||||
\(453\) | 13.3815 | − | 4.50691i | 0.628720 | − | 0.211753i | ||||
\(454\) | −7.44318 | − | 2.70910i | −0.349326 | − | 0.127144i | ||||
\(455\) | −0.348483 | − | 1.97634i | −0.0163371 | − | 0.0926524i | ||||
\(456\) | 0.0245868 | + | 0.0450701i | 0.00115138 | + | 0.00211060i | ||||
\(457\) | −19.9148 | − | 16.7105i | −0.931576 | − | 0.781685i | 0.0445233 | − | 0.999008i | \(-0.485823\pi\) |
−0.976100 | + | 0.217323i | \(0.930268\pi\) | |||||||
\(458\) | −18.7010 | −0.873839 | ||||||||
\(459\) | 13.7150 | + | 28.3196i | 0.640163 | + | 1.32185i | ||||
\(460\) | −2.99189 | −0.139497 | ||||||||
\(461\) | −0.900787 | − | 0.755850i | −0.0419538 | − | 0.0352035i | 0.621570 | − | 0.783359i | \(-0.286495\pi\) |
−0.663523 | + | 0.748155i | \(0.730940\pi\) | |||||||
\(462\) | 2.65100 | − | 4.34535i | 0.123336 | − | 0.202164i | ||||
\(463\) | −4.68123 | − | 26.5486i | −0.217555 | − | 1.23382i | −0.876417 | − | 0.481553i | \(-0.840073\pi\) |
0.658861 | − | 0.752264i | \(-0.271038\pi\) | |||||||
\(464\) | 5.87537 | + | 2.13846i | 0.272757 | + | 0.0992755i | ||||
\(465\) | 0.0514917 | − | 0.255682i | 0.00238787 | − | 0.0118570i | ||||
\(466\) | −2.20523 | + | 12.5065i | −0.102155 | + | 0.579351i | ||||
\(467\) | 9.32723 | − | 16.1552i | 0.431613 | − | 0.747575i | −0.565400 | − | 0.824817i | \(-0.691278\pi\) |
0.997012 | + | 0.0772421i | \(0.0246114\pi\) | |||||||
\(468\) | −11.7226 | − | 10.8449i | −0.541877 | − | 0.501307i | ||||
\(469\) | −5.92712 | − | 10.2661i | −0.273689 | − | 0.474043i | ||||
\(470\) | 3.86005 | − | 1.40494i | 0.178051 | − | 0.0648053i | ||||
\(471\) | −18.4004 | − | 7.20600i | −0.847844 | − | 0.332035i | ||||
\(472\) | 5.07126 | − | 4.25529i | 0.233424 | − | 0.195866i | ||||
\(473\) | −3.49946 | + | 2.93640i | −0.160905 | + | 0.135016i | ||||
\(474\) | −1.12746 | − | 7.44308i | −0.0517860 | − | 0.341872i | ||||
\(475\) | −0.135310 | + | 0.0492488i | −0.00620845 | + | 0.00225969i | ||||
\(476\) | −3.02781 | − | 5.24432i | −0.138779 | − | 0.240373i | ||||
\(477\) | −14.1114 | − | 0.683471i | −0.646115 | − | 0.0312940i | ||||
\(478\) | 4.05056 | − | 7.01578i | 0.185268 | − | 0.320894i | ||||
\(479\) | 2.12310 | − | 12.0407i | 0.0970069 | − | 0.550153i | −0.897107 | − | 0.441813i | \(-0.854335\pi\) |
0.994114 | − | 0.108340i | \(-0.0345535\pi\) | |||||||
\(480\) | 0.489905 | + | 0.431704i | 0.0223610 | + | 0.0197045i | ||||
\(481\) | −27.5814 | − | 10.0388i | −1.25760 | − | 0.457730i | ||||
\(482\) | −2.18537 | − | 12.3938i | −0.0995408 | − | 0.564524i | ||||
\(483\) | 13.7418 | + | 0.332590i | 0.625273 | + | 0.0151334i | ||||
\(484\) | −1.81045 | − | 1.51915i | −0.0822934 | − | 0.0690523i | ||||
\(485\) | 3.36165 | 0.152645 | ||||||||
\(486\) | 10.6448 | + | 11.3881i | 0.482857 | + | 0.516575i | ||||
\(487\) | −25.1513 | −1.13971 | −0.569856 | − | 0.821744i | \(-0.693001\pi\) | ||||
−0.569856 | + | 0.821744i | \(0.693001\pi\) | |||||||
\(488\) | −10.3058 | − | 8.64761i | −0.466522 | − | 0.391459i | ||||
\(489\) | −40.4410 | − | 0.978788i | −1.82881 | − | 0.0442623i | ||||
\(490\) | −0.0654644 | − | 0.371267i | −0.00295738 | − | 0.0167721i | ||||
\(491\) | 28.7773 | + | 10.4741i | 1.29870 | + | 0.472689i | 0.896574 | − | 0.442894i | \(-0.146048\pi\) |
0.402128 | + | 0.915583i | \(0.368271\pi\) | |||||||
\(492\) | 9.58709 | + | 8.44813i | 0.432220 | + | 0.380871i | ||||
\(493\) | −6.57473 | + | 37.2872i | −0.296111 | + | 1.67933i | ||||
\(494\) | 0.0788939 | − | 0.136648i | 0.00354960 | − | 0.00614809i | ||||
\(495\) | −3.31986 | − | 0.160794i | −0.149217 | − | 0.00722716i | ||||
\(496\) | 0.199714 | + | 0.345914i | 0.00896741 | + | 0.0155320i | ||||
\(497\) | 5.29165 | − | 1.92600i | 0.237363 | − | 0.0863931i | ||||
\(498\) | 2.84100 | + | 18.7552i | 0.127308 | + | 0.840443i | ||||
\(499\) | 18.3813 | − | 15.4237i | 0.822859 | − | 0.690460i | −0.130781 | − | 0.991411i | \(-0.541748\pi\) |
0.953640 | + | 0.300951i | \(0.0973040\pi\) | |||||||
\(500\) | −2.84690 | + | 2.38883i | −0.127317 | + | 0.106832i | ||||
\(501\) | 3.08560 | + | 1.20839i | 0.137854 | + | 0.0539870i | ||||
\(502\) | 18.2862 | − | 6.65562i | 0.816152 | − | 0.297055i | ||||
\(503\) | 9.15993 | + | 15.8655i | 0.408421 | + | 0.707406i | 0.994713 | − | 0.102694i | \(-0.0327462\pi\) |
−0.586292 | + | 0.810100i | \(0.699413\pi\) | |||||||
\(504\) | −2.20215 | − | 2.03728i | −0.0980917 | − | 0.0907478i | ||||
\(505\) | −1.87904 | + | 3.25459i | −0.0836162 | + | 0.144827i | ||||
\(506\) | −4.04997 | + | 22.9685i | −0.180043 | + | 1.02108i | ||||
\(507\) | −5.24445 | + | 26.0414i | −0.232914 | + | 1.15654i | ||||
\(508\) | 7.43694 | + | 2.70682i | 0.329961 | + | 0.120096i | ||||
\(509\) | −6.97626 | − | 39.5643i | −0.309217 | − | 1.75366i | −0.602958 | − | 0.797773i | \(-0.706012\pi\) |
0.293741 | − | 0.955885i | \(-0.405100\pi\) | |||||||
\(510\) | −2.05936 | + | 3.37556i | −0.0911899 | + | 0.149473i | ||||
\(511\) | 8.44780 | + | 7.08854i | 0.373709 | + | 0.313579i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | −0.0864822 | + | 0.127449i | −0.00381828 | + | 0.00562701i | ||||
\(514\) | −18.4377 | −0.813254 | ||||||||
\(515\) | 3.08730 | + | 2.59056i | 0.136043 | + | 0.114154i | ||||
\(516\) | 1.28938 | + | 2.36356i | 0.0567617 | + | 0.104050i | ||||
\(517\) | −5.56051 | − | 31.5352i | −0.244551 | − | 1.38692i | ||||
\(518\) | −5.18132 | − | 1.88585i | −0.227654 | − | 0.0828593i | ||||
\(519\) | 11.6742 | − | 3.93188i | 0.512441 | − | 0.172590i | ||||
\(520\) | 0.348483 | − | 1.97634i | 0.0152820 | − | 0.0866684i | ||||
\(521\) | 8.61711 | − | 14.9253i | 0.377522 | − | 0.653888i | −0.613179 | − | 0.789944i | \(-0.710109\pi\) |
0.990701 | + | 0.136056i | \(0.0434428\pi\) | |||||||
\(522\) | 2.35972 | + | 18.6083i | 0.103282 | + | 0.814463i | ||||
\(523\) | −11.3191 | − | 19.6053i | −0.494951 | − | 0.857280i | 0.505032 | − | 0.863101i | \(-0.331481\pi\) |
−0.999983 | + | 0.00582037i | \(0.998147\pi\) | |||||||
\(524\) | −10.4891 | + | 3.81773i | −0.458219 | + | 0.166778i | ||||
\(525\) | 6.57454 | − | 5.25093i | 0.286936 | − | 0.229169i | ||||
\(526\) | 8.66490 | − | 7.27071i | 0.377808 | − | 0.317018i | ||||
\(527\) | −1.85289 | + | 1.55476i | −0.0807133 | + | 0.0677265i | ||||
\(528\) | 3.97732 | − | 3.17660i | 0.173091 | − | 0.138244i | ||||
\(529\) | −37.5712 | + | 13.6748i | −1.63353 | + | 0.594557i | ||||
\(530\) | −0.887690 | − | 1.53752i | −0.0385588 | − | 0.0667858i | ||||
\(531\) | 18.3120 | + | 7.68747i | 0.794673 | + | 0.333608i | ||||
\(532\) | 0.0148207 | − | 0.0256701i | 0.000642557 | − | 0.00111294i | ||||
\(533\) | 6.81956 | − | 38.6756i | 0.295388 | − | 1.67523i | ||||
\(534\) | 4.33384 | − | 1.45964i | 0.187543 | − | 0.0631647i | ||||
\(535\) | 4.76074 | + | 1.73277i | 0.205825 | + | 0.0749142i | ||||
\(536\) | −2.05847 | − | 11.6741i | −0.0889122 | − | 0.504246i | ||||
\(537\) | 14.3449 | + | 26.2956i | 0.619027 | + | 1.13474i | ||||
\(538\) | 11.9934 | + | 10.0637i | 0.517074 | + | 0.433876i | ||||
\(539\) | −2.93881 | −0.126584 | ||||||||
\(540\) | −0.479190 | + | 1.89941i | −0.0206211 | + | 0.0817375i | ||||
\(541\) | −14.0869 | −0.605641 | −0.302821 | − | 0.953048i | \(-0.597928\pi\) | ||||
−0.302821 | + | 0.953048i | \(0.597928\pi\) | |||||||
\(542\) | −5.97498 | − | 5.01361i | −0.256648 | − | 0.215353i | ||||
\(543\) | 11.4810 | − | 18.8189i | 0.492696 | − | 0.807595i | ||||
\(544\) | −1.05155 | − | 5.96362i | −0.0450847 | − | 0.255688i | ||||
\(545\) | −5.93093 | − | 2.15868i | −0.254053 | − | 0.0924678i | ||||
\(546\) | −1.82029 | + | 9.03864i | −0.0779011 | + | 0.386818i | ||||
\(547\) | −6.14342 | + | 34.8411i | −0.262674 | + | 1.48970i | 0.512904 | + | 0.858446i | \(0.328570\pi\) |
−0.775578 | + | 0.631251i | \(0.782542\pi\) | |||||||
\(548\) | 2.34050 | − | 4.05387i | 0.0999814 | − | 0.173173i | ||||
\(549\) | 8.92305 | − | 39.3611i | 0.380826 | − | 1.67989i | ||||
\(550\) | 7.13819 | + | 12.3637i | 0.304374 | + | 0.527190i | ||||
\(551\) | −0.174154 | + | 0.0633868i | −0.00741920 | + | 0.00270037i | ||||
\(552\) | 12.7993 | + | 5.01250i | 0.544775 | + | 0.213346i | ||||
\(553\) | −3.32945 | + | 2.79374i | −0.141583 | + | 0.118802i | ||||
\(554\) | 5.69193 | − | 4.77610i | 0.241827 | − | 0.202917i | ||||
\(555\) | 0.539228 | + | 3.55979i | 0.0228890 | + | 0.151105i | ||||
\(556\) | 5.17938 | − | 1.88514i | 0.219655 | − | 0.0799478i | ||||
\(557\) | −2.07280 | − | 3.59020i | −0.0878275 | − | 0.152122i | 0.818765 | − | 0.574129i | \(-0.194659\pi\) |
−0.906593 | + | 0.422007i | \(0.861326\pi\) | |||||||
\(558\) | −0.648643 | + | 1.00754i | −0.0274592 | + | 0.0426527i | ||||
\(559\) | 4.13734 | − | 7.16608i | 0.174991 | − | 0.303093i | ||||
\(560\) | 0.0654644 | − | 0.371267i | 0.00276638 | − | 0.0156889i | ||||
\(561\) | 23.1264 | + | 20.3789i | 0.976396 | + | 0.860398i | ||||
\(562\) | −22.1181 | − | 8.05031i | −0.932994 | − | 0.339582i | ||||
\(563\) | −5.09962 | − | 28.9214i | −0.214923 | − | 1.21889i | −0.881040 | − | 0.473042i | \(-0.843156\pi\) |
0.666116 | − | 0.745848i | \(-0.267955\pi\) | |||||||
\(564\) | −18.8671 | − | 0.456638i | −0.794450 | − | 0.0192279i | ||||
\(565\) | −1.95023 | − | 1.63644i | −0.0820468 | − | 0.0688455i | ||||
\(566\) | 18.4817 | 0.776843 | ||||||||
\(567\) | 2.41208 | − | 8.67075i | 0.101298 | − | 0.364137i | ||||
\(568\) | 5.63126 | 0.236282 | ||||||||
\(569\) | 13.6326 | + | 11.4391i | 0.571510 | + | 0.479554i | 0.882147 | − | 0.470975i | \(-0.156098\pi\) |
−0.310637 | + | 0.950529i | \(0.600542\pi\) | |||||||
\(570\) | −0.0193493 | 0.000468309i | −0.000810455 | 1.96153e-5i | ||||||
\(571\) | −2.41904 | − | 13.7191i | −0.101234 | − | 0.574125i | −0.992658 | − | 0.120955i | \(-0.961404\pi\) |
0.891424 | − | 0.453170i | \(-0.149707\pi\) | |||||||
\(572\) | −14.7005 | − | 5.35056i | −0.614661 | − | 0.223718i | ||||
\(573\) | −1.95822 | − | 1.72558i | −0.0818057 | − | 0.0720871i | ||||
\(574\) | 1.28109 | − | 7.26544i | 0.0534718 | − | 0.303253i | ||||
\(575\) | −19.2764 | + | 33.3877i | −0.803882 | + | 1.39236i | ||||
\(576\) | −1.37256 | − | 2.66760i | −0.0571898 | − | 0.111150i | ||||
\(577\) | −16.0803 | − | 27.8519i | −0.669431 | − | 1.15949i | −0.978063 | − | 0.208308i | \(-0.933204\pi\) |
0.308632 | − | 0.951182i | \(-0.400129\pi\) | |||||||
\(578\) | 18.4843 | − | 6.72772i | 0.768844 | − | 0.279836i | ||||
\(579\) | −3.50063 | − | 23.1099i | −0.145481 | − | 0.960413i | ||||
\(580\) | −1.80567 | + | 1.51514i | −0.0749764 | + | 0.0629127i | ||||
\(581\) | 8.38962 | − | 7.03973i | 0.348060 | − | 0.292057i | ||||
\(582\) | −14.3812 | − | 5.63200i | −0.596119 | − | 0.233454i | ||||
\(583\) | −13.0051 | + | 4.73347i | −0.538617 | + | 0.196040i | ||||
\(584\) | 5.51391 | + | 9.55037i | 0.228167 | + | 0.395197i | ||||
\(585\) | 5.75041 | − | 1.78303i | 0.237750 | − | 0.0737192i | ||||
\(586\) | −5.14430 | + | 8.91018i | −0.212509 | + | 0.368076i | ||||
\(587\) | −0.594572 | + | 3.37198i | −0.0245406 | + | 0.139177i | −0.994616 | − | 0.103626i | \(-0.966956\pi\) |
0.970076 | + | 0.242802i | \(0.0780667\pi\) | |||||||
\(588\) | −0.341951 | + | 1.69796i | −0.0141018 | + | 0.0700227i | ||||
\(589\) | −0.0111255 | − | 0.00404937i | −0.000458420 | − | 0.000166851i | ||||
\(590\) | 0.433378 | + | 2.45781i | 0.0178419 | + | 0.101186i | ||||
\(591\) | 12.9140 | − | 21.1678i | 0.531213 | − | 0.870729i | ||||
\(592\) | −4.22385 | − | 3.54423i | −0.173599 | − | 0.145667i | ||||
\(593\) | 34.9302 | 1.43441 | 0.717206 | − | 0.696861i | \(-0.245421\pi\) | ||||
0.717206 | + | 0.696861i | \(0.245421\pi\) | |||||||
\(594\) | 13.9330 | + | 6.24985i | 0.571677 | + | 0.256435i | ||||
\(595\) | 2.28294 | 0.0935913 | ||||||||
\(596\) | −7.35921 | − | 6.17511i | −0.301445 | − | 0.252943i | ||||
\(597\) | 5.98900 | + | 10.9784i | 0.245113 | + | 0.449317i | ||||
\(598\) | −7.33594 | − | 41.6042i | −0.299989 | − | 1.70132i | ||||
\(599\) | −32.6735 | − | 11.8922i | −1.33500 | − | 0.485902i | −0.426769 | − | 0.904361i | \(-0.640348\pi\) |
−0.908236 | + | 0.418459i | \(0.862571\pi\) | |||||||
\(600\) | 7.97397 | − | 2.68564i | 0.325536 | − | 0.109641i | ||||
\(601\) | 1.95844 | − | 11.1069i | 0.0798865 | − | 0.453059i | −0.918457 | − | 0.395521i | \(-0.870564\pi\) |
0.998343 | − | 0.0575375i | \(-0.0183249\pi\) | |||||||
\(602\) | 0.777222 | − | 1.34619i | 0.0316772 | − | 0.0548665i | ||||
\(603\) | 28.3166 | − | 21.5146i | 1.15314 | − | 0.876141i | ||||
\(604\) | −4.07613 | − | 7.06006i | −0.165855 | − | 0.287270i | ||||
\(605\) | 0.837249 | − | 0.304734i | 0.0340390 | − | 0.0123892i | ||||
\(606\) | 13.4912 | − | 10.7751i | 0.548041 | − | 0.437708i | ||||
\(607\) | −21.7905 | + | 18.2844i | −0.884449 | + | 0.742141i | −0.967089 | − | 0.254439i | \(-0.918109\pi\) |
0.0826400 | + | 0.996579i | \(0.473665\pi\) | |||||||
\(608\) | 0.0227066 | − | 0.0190531i | 0.000920873 | − | 0.000772704i | ||||
\(609\) | 8.46191 | − | 6.75833i | 0.342894 | − | 0.273861i | ||||
\(610\) | 4.76595 | − | 1.73466i | 0.192968 | − | 0.0702345i | ||||
\(611\) | 29.0013 | + | 50.2318i | 1.17327 | + | 2.03216i | ||||
\(612\) | 14.4653 | − | 10.9905i | 0.584723 | − | 0.444265i | ||||
\(613\) | −20.3552 | + | 35.2563i | −0.822140 | + | 1.42399i | 0.0819452 | + | 0.996637i | \(0.473887\pi\) |
−0.904085 | + | 0.427352i | \(0.859447\pi\) | |||||||
\(614\) | −1.41503 | + | 8.02503i | −0.0571059 | + | 0.323864i | ||||
\(615\) | −4.56535 | + | 1.53761i | −0.184092 | + | 0.0620024i | ||||
\(616\) | −2.76158 | − | 1.00513i | −0.111267 | − | 0.0404980i | ||||
\(617\) | 5.08261 | + | 28.8249i | 0.204618 | + | 1.16045i | 0.898040 | + | 0.439915i | \(0.144991\pi\) |
−0.693421 | + | 0.720532i | \(0.743898\pi\) | |||||||
\(618\) | −8.86738 | − | 16.2548i | −0.356698 | − | 0.653863i | ||||
\(619\) | −1.20334 | − | 1.00972i | −0.0483665 | − | 0.0405843i | 0.618284 | − | 0.785955i | \(-0.287828\pi\) |
−0.666650 | + | 0.745370i | \(0.732273\pi\) | |||||||
\(620\) | −0.150582 | −0.00604752 | ||||||||
\(621\) | 4.19641 | + | 41.0234i | 0.168396 | + | 1.64621i | ||||
\(622\) | −14.3456 | −0.575205 | ||||||||
\(623\) | −2.02254 | − | 1.69712i | −0.0810315 | − | 0.0679935i | ||||
\(624\) | −4.80191 | + | 7.87097i | −0.192230 | + | 0.315091i | ||||
\(625\) | 3.97452 | + | 22.5406i | 0.158981 | + | 0.901624i | ||||
\(626\) | −13.8251 | − | 5.03194i | −0.552563 | − | 0.201117i | ||||
\(627\) | −0.0297875 | + | 0.147910i | −0.00118960 | + | 0.00590695i | ||||
\(628\) | −1.98116 | + | 11.2357i | −0.0790569 | + | 0.448354i | ||||
\(629\) | 16.6949 | − | 28.9164i | 0.665668 | − | 1.15297i | ||||
\(630\) | 1.08025 | − | 0.334952i | 0.0430380 | − | 0.0133448i | ||||
\(631\) | −22.6871 | − | 39.2952i | −0.903159 | − | 1.56432i | −0.823370 | − | 0.567505i | \(-0.807909\pi\) |
−0.0797892 | − | 0.996812i | \(-0.525425\pi\) | |||||||
\(632\) | −4.08417 | + | 1.48652i | −0.162460 | + | 0.0591305i | ||||
\(633\) | −26.0157 | − | 10.1883i | −1.03403 | − | 0.404950i | ||||
\(634\) | −2.88941 | + | 2.42450i | −0.114753 | + | 0.0962894i | ||||
\(635\) | −2.28559 | + | 1.91783i | −0.0907007 | + | 0.0761069i | ||||
\(636\) | 1.22163 | + | 8.06475i | 0.0484408 | + | 0.319788i | ||||
\(637\) | 5.00221 | − | 1.82065i | 0.198195 | − | 0.0721369i | ||||
\(638\) | 9.18737 | + | 15.9130i | 0.363731 | + | 0.630001i | ||||
\(639\) | 7.72921 | + | 15.0219i | 0.305763 | + | 0.594259i | ||||
\(640\) | 0.188497 | − | 0.326487i | 0.00745101 | − | 0.0129055i | ||||
\(641\) | −1.87275 | + | 10.6209i | −0.0739693 | + | 0.419501i | 0.925227 | + | 0.379414i | \(0.123874\pi\) |
−0.999196 | + | 0.0400865i | \(0.987237\pi\) | |||||||
\(642\) | −17.4635 | − | 15.3888i | −0.689228 | − | 0.607347i | ||||
\(643\) | 19.4855 | + | 7.09214i | 0.768433 | + | 0.279687i | 0.696341 | − | 0.717711i | \(-0.254810\pi\) |
0.0720922 | + | 0.997398i | \(0.477032\pi\) | |||||||
\(644\) | −1.37810 | − | 7.81558i | −0.0543047 | − | 0.307977i | ||||
\(645\) | −1.01471 | − | 0.0245590i | −0.0399543 | − | 0.000967009i | ||||
\(646\) | 0.137502 | + | 0.115378i | 0.00540996 | + | 0.00453949i | ||||
\(647\) | −10.1465 | −0.398902 | −0.199451 | − | 0.979908i | \(-0.563916\pi\) | ||||
−0.199451 | + | 0.979908i | \(0.563916\pi\) | |||||||
\(648\) | 5.23218 | − | 7.32286i | 0.205540 | − | 0.287669i | ||||
\(649\) | 19.4551 | 0.763680 | ||||||||
\(650\) | −19.8096 | − | 16.6222i | −0.776997 | − | 0.651978i | ||||
\(651\) | 0.691626 | + | 0.0167393i | 0.0271070 | + | 0.000656066i | ||||
\(652\) | 4.05564 | + | 23.0007i | 0.158831 | + | 0.900775i | ||||
\(653\) | −23.4464 | − | 8.53380i | −0.917530 | − | 0.333954i | −0.160275 | − | 0.987072i | \(-0.551238\pi\) |
−0.757255 | + | 0.653119i | \(0.773460\pi\) | |||||||
\(654\) | 21.7560 | + | 19.1713i | 0.850726 | + | 0.749658i | ||||
\(655\) | 0.730733 | − | 4.14419i | 0.0285521 | − | 0.161927i | ||||
\(656\) | 3.68876 | − | 6.38912i | 0.144022 | − | 0.249453i | ||||
\(657\) | −17.9084 | + | 27.8173i | −0.698674 | + | 1.08526i | ||||
\(658\) | 5.44807 | + | 9.43633i | 0.212388 | + | 0.367866i | ||||
\(659\) | 14.3717 | − | 5.23089i | 0.559844 | − | 0.203766i | −0.0465711 | − | 0.998915i | \(-0.514829\pi\) |
0.606415 | + | 0.795149i | \(0.292607\pi\) | |||||||
\(660\) | 0.287402 | + | 1.89732i | 0.0111871 | + | 0.0738532i | ||||
\(661\) | 21.3040 | − | 17.8762i | 0.828629 | − | 0.695303i | −0.126347 | − | 0.991986i | \(-0.540325\pi\) |
0.954976 | + | 0.296684i | \(0.0958807\pi\) | |||||||
\(662\) | 17.2416 | − | 14.4674i | 0.670112 | − | 0.562291i | ||||
\(663\) | −51.9889 | − | 20.3601i | −2.01908 | − | 0.790719i | ||||
\(664\) | 10.2914 | − | 3.74576i | 0.399383 | − | 0.145364i | ||||
\(665\) | 0.00558731 | + | 0.00967751i | 0.000216667 | + | 0.000375278i | ||||
\(666\) | 3.65712 | − | 16.1322i | 0.141711 | − | 0.625110i | ||||
\(667\) | −24.8101 | + | 42.9724i | −0.960652 | + | 1.66390i | ||||
\(668\) | 0.332226 | − | 1.88415i | 0.0128542 | − | 0.0728998i | ||||
\(669\) | −7.72906 | + | 38.3787i | −0.298823 | + | 1.48381i | ||||
\(670\) | 4.19947 | + | 1.52848i | 0.162240 | + | 0.0590504i | ||||
\(671\) | −6.86547 | − | 38.9360i | −0.265039 | − | 1.50311i | ||||
\(672\) | −0.902066 | + | 1.47861i | −0.0347979 | + | 0.0570385i | ||||
\(673\) | 26.8501 | + | 22.5299i | 1.03500 | + | 0.868465i | 0.991437 | − | 0.130586i | \(-0.0416859\pi\) |
0.0435589 | + | 0.999051i | \(0.486130\pi\) | |||||||
\(674\) | −28.6648 | −1.10413 | ||||||||
\(675\) | 18.1089 | + | 17.5852i | 0.697013 | + | 0.676854i | ||||
\(676\) | 15.3368 | 0.589879 | ||||||||
\(677\) | −2.64111 | − | 2.21615i | −0.101506 | − | 0.0851737i | 0.590622 | − | 0.806948i | \(-0.298882\pi\) |
−0.692128 | + | 0.721774i | \(0.743327\pi\) | |||||||
\(678\) | 5.60147 | + | 10.2680i | 0.215123 | + | 0.394342i | ||||
\(679\) | 1.54842 | + | 8.78151i | 0.0594228 | + | 0.337003i | ||||
\(680\) | 2.14526 | + | 0.780810i | 0.0822669 | + | 0.0299427i | ||||
\(681\) | −13.0017 | + | 4.37899i | −0.498227 | + | 0.167803i | ||||
\(682\) | −0.203836 | + | 1.15601i | −0.00780527 | + | 0.0442659i | ||||
\(683\) | −6.67743 | + | 11.5656i | −0.255505 | + | 0.442547i | −0.965032 | − | 0.262130i | \(-0.915575\pi\) |
0.709528 | + | 0.704677i | \(0.248908\pi\) | |||||||
\(684\) | 0.0819920 | + | 0.0344207i | 0.00313504 | + | 0.00131611i | ||||
\(685\) | 0.882357 | + | 1.52829i | 0.0337131 | + | 0.0583929i | ||||
\(686\) | 0.939693 | − | 0.342020i | 0.0358776 | − | 0.0130584i | ||||
\(687\) | −25.3095 | + | 20.2141i | −0.965616 | + | 0.771215i | ||||
\(688\) | 1.19077 | − | 0.999177i | 0.0453978 | − | 0.0380933i | ||||
\(689\) | 19.2038 | − | 16.1139i | 0.731605 | − | 0.613889i | ||||
\(690\) | −4.04915 | + | 3.23396i | −0.154149 | + | 0.123115i | ||||
\(691\) | −24.4734 | + | 8.90761i | −0.931014 | + | 0.338861i | −0.762611 | − | 0.646857i | \(-0.776083\pi\) |
−0.168403 | + | 0.985718i | \(0.553861\pi\) | |||||||
\(692\) | −3.55606 | − | 6.15928i | −0.135181 | − | 0.234141i | ||||
\(693\) | −1.10913 | − | 8.74639i | −0.0421323 | − | 0.332248i | ||||
\(694\) | −1.32332 | + | 2.29205i | −0.0502324 | + | 0.0870051i | ||||
\(695\) | −0.360826 | + | 2.04634i | −0.0136869 | + | 0.0776222i | ||||
\(696\) | 10.2631 | − | 3.45661i | 0.389021 | − | 0.131022i | ||||
\(697\) | 41.9812 | + | 15.2799i | 1.59015 | + | 0.578768i | ||||
\(698\) | 2.32691 | + | 13.1966i | 0.0880748 | + | 0.499497i | ||||
\(699\) | 10.5339 | + | 19.3096i | 0.398428 | + | 0.730357i | ||||
\(700\) | −3.72135 | − | 3.12258i | −0.140654 | − | 0.118023i | ||||
\(701\) | 16.4226 | 0.620275 | 0.310137 | − | 0.950692i | \(-0.399625\pi\) | ||||
0.310137 | + | 0.950692i | \(0.399625\pi\) | |||||||
\(702\) | −27.5875 | − | 2.00622i | −1.04122 | − | 0.0757200i | ||||
\(703\) | 0.163438 | 0.00616417 | ||||||||
\(704\) | −2.25126 | − | 1.88903i | −0.0848476 | − | 0.0711956i | ||||
\(705\) | 3.70549 | − | 6.07380i | 0.139557 | − | 0.228752i | ||||
\(706\) | 0.0347792 | + | 0.197243i | 0.00130893 | + | 0.00742333i | ||||
\(707\) | −9.36735 | − | 3.40944i | −0.352295 | − | 0.128225i | ||||
\(708\) | 2.26374 | − | 11.2406i | 0.0850764 | − | 0.422448i | ||||
\(709\) | 0.514281 | − | 2.91664i | 0.0193142 | − | 0.109537i | −0.973627 | − | 0.228148i | \(-0.926733\pi\) |
0.992941 | + | 0.118611i | \(0.0378442\pi\) | |||||||
\(710\) | −1.06148 | + | 1.83853i | −0.0398365 | + | 0.0689989i | ||||
\(711\) | −9.57119 | − | 8.85461i | −0.358948 | − | 0.332074i | ||||
\(712\) | −1.32012 | − | 2.28652i | −0.0494737 | − | 0.0856909i | ||||
\(713\) | −2.97875 | + | 1.08418i | −0.111555 | + | 0.0406027i | ||||
\(714\) | −9.76642 | − | 3.82475i | −0.365499 | − | 0.143138i | ||||
\(715\) | 4.51790 | − | 3.79097i | 0.168960 | − | 0.141774i | ||||
\(716\) | 13.2479 | − | 11.1163i | 0.495096 | − | 0.415435i | ||||
\(717\) | −2.10150 | − | 13.8733i | −0.0784818 | − | 0.518108i | ||||
\(718\) | −27.4803 | + | 10.0020i | −1.02555 | + | 0.373271i | ||||
\(719\) | −7.75675 | − | 13.4351i | −0.289278 | − | 0.501044i | 0.684360 | − | 0.729145i | \(-0.260082\pi\) |
−0.973638 | + | 0.228100i | \(0.926749\pi\) | |||||||
\(720\) | 1.12966 | + | 0.0547140i | 0.0420999 | + | 0.00203907i | ||||
\(721\) | −5.34516 | + | 9.25808i | −0.199064 | + | 0.344789i | ||||
\(722\) | 3.29916 | − | 18.7105i | 0.122782 | − | 0.696332i | ||||
\(723\) | −16.3543 | − | 14.4114i | −0.608222 | − | 0.535964i | ||||
\(724\) | −11.9599 | − | 4.35304i | −0.444485 | − | 0.161779i | ||||
\(725\) | 5.27431 | + | 29.9121i | 0.195883 | + | 1.11091i | ||||
\(726\) | −4.09230 | − | 0.0990452i | −0.151879 | − | 0.00367591i | ||||
\(727\) | 13.6895 | + | 11.4868i | 0.507714 | + | 0.426022i | 0.860324 | − | 0.509748i | \(-0.170261\pi\) |
−0.352610 | + | 0.935770i | \(0.614706\pi\) | |||||||
\(728\) | 5.32324 | 0.197292 | ||||||||
\(729\) | 26.7159 | + | 3.90634i | 0.989479 | + | 0.144679i | ||||
\(730\) | −4.15743 | −0.153873 | ||||||||
\(731\) | 7.21087 | + | 6.05064i | 0.266704 | + | 0.223791i | ||||
\(732\) | −23.2950 | − | 0.563804i | −0.861006 | − | 0.0208388i | ||||
\(733\) | −0.360823 | − | 2.04633i | −0.0133273 | − | 0.0755829i | 0.977419 | − | 0.211312i | \(-0.0677735\pi\) |
−0.990746 | + | 0.135729i | \(0.956662\pi\) | |||||||
\(734\) | −31.2450 | − | 11.3722i | −1.15327 | − | 0.419757i | ||||
\(735\) | −0.489905 | − | 0.431704i | −0.0180704 | − | 0.0159236i | ||||
\(736\) | 1.37810 | − | 7.81558i | 0.0507974 | − | 0.288086i | ||||
\(737\) | 17.4187 | − | 30.1700i | 0.641625 | − | 1.11133i | ||||
\(738\) | 22.1066 | + | 1.07071i | 0.813757 | + | 0.0394135i | ||||
\(739\) | −11.0155 | − | 19.0793i | −0.405210 | − | 0.701844i | 0.589136 | − | 0.808034i | \(-0.299468\pi\) |
−0.994346 | + | 0.106190i | \(0.966135\pi\) | |||||||
\(740\) | 1.95333 | − | 0.710954i | 0.0718058 | − | 0.0261352i | ||||
\(741\) | −0.0409314 | − | 0.270214i | −0.00150365 | − | 0.00992656i | ||||
\(742\) | 3.60753 | − | 3.02708i | 0.132437 | − | 0.111128i | ||||
\(743\) | −3.91011 | + | 3.28097i | −0.143448 | + | 0.120367i | −0.711688 | − | 0.702496i | \(-0.752069\pi\) |
0.568240 | + | 0.822863i | \(0.307625\pi\) | |||||||
\(744\) | 0.644191 | + | 0.252280i | 0.0236172 | + | 0.00924903i | ||||
\(745\) | 3.40329 | − | 1.23869i | 0.124687 | − | 0.0453823i | ||||
\(746\) | −14.0488 | − | 24.3332i | −0.514363 | − | 0.890903i | ||||
\(747\) | 24.1177 | + | 22.3121i | 0.882421 | + | 0.816355i | ||||
\(748\) | 8.89817 | − | 15.4121i | 0.325349 | − | 0.563521i | ||||
\(749\) | −2.33359 | + | 13.2344i | −0.0852674 | + | 0.483576i | ||||
\(750\) | −1.27082 | + | 6.31024i | −0.0464036 | + | 0.230417i | ||||
\(751\) | −26.2861 | − | 9.56735i | −0.959193 | − | 0.349118i | −0.185476 | − | 0.982649i | \(-0.559383\pi\) |
−0.773717 | + | 0.633531i | \(0.781605\pi\) | |||||||
\(752\) | 1.89209 | + | 10.7306i | 0.0689976 | + | 0.391305i | ||||
\(753\) | 17.5540 | − | 28.7733i | 0.639702 | − | 1.04856i | ||||
\(754\) | −25.4964 | − | 21.3940i | −0.928525 | − | 0.779125i | ||||
\(755\) | 3.07336 | 0.111851 | ||||||||
\(756\) | −5.18247 | − | 0.376880i | −0.188484 | − | 0.0137070i | ||||
\(757\) | −32.3950 | −1.17742 | −0.588708 | − | 0.808346i | \(-0.700363\pi\) | ||||
−0.588708 | + | 0.808346i | \(0.700363\pi\) | |||||||
\(758\) | 4.65791 | + | 3.90845i | 0.169183 | + | 0.141961i | ||||
\(759\) | 19.3458 | + | 35.4628i | 0.702208 | + | 1.28722i | ||||
\(760\) | 0.00194045 | + | 0.0110049i | 7.03876e−5 | + | 0.000399188i | ||||
\(761\) | 7.25518 | + | 2.64067i | 0.263000 | + | 0.0957242i | 0.470155 | − | 0.882584i | \(-0.344198\pi\) |
−0.207155 | + | 0.978308i | \(0.566420\pi\) | |||||||
\(762\) | 12.9908 | − | 4.37531i | 0.470608 | − | 0.158501i | ||||
\(763\) | 2.90718 | − | 16.4874i | 0.105247 | − | 0.596886i | ||||
\(764\) | −0.753450 | + | 1.30501i | −0.0272589 | + | 0.0472137i | ||||
\(765\) | 0.861597 | + | 6.79440i | 0.0311511 | + | 0.245652i | ||||
\(766\) | −8.63456 | − | 14.9555i | −0.311979 | − | 0.540364i | ||||
\(767\) | −33.1149 | + | 12.0528i | −1.19571 | + | 0.435203i | ||||
\(768\) | −1.35338 | + | 1.08091i | −0.0488358 | + | 0.0390040i | ||||
\(769\) | 37.6770 | − | 31.6147i | 1.35867 | − | 1.14006i | 0.382274 | − | 0.924049i | \(-0.375141\pi\) |
0.976392 | − | 0.216007i | \(-0.0693034\pi\) | |||||||
\(770\) | 0.848713 | − | 0.712155i | 0.0305855 | − | 0.0256643i | ||||
\(771\) | −24.9532 | + | 19.9296i | −0.898669 | + | 0.717746i | ||||
\(772\) | −12.6809 | + | 4.61546i | −0.456394 | + | 0.166114i | ||||
\(773\) | 0.798212 | + | 1.38254i | 0.0287097 | + | 0.0497266i | 0.880023 | − | 0.474931i | \(-0.157527\pi\) |
−0.851314 | + | 0.524657i | \(0.824194\pi\) | |||||||
\(774\) | 4.29981 | + | 1.80508i | 0.154553 | + | 0.0648823i | ||||
\(775\) | −0.970184 | + | 1.68041i | −0.0348500 | + | 0.0603621i | ||||
\(776\) | −1.54842 | + | 8.78151i | −0.0555849 | + | 0.315238i | ||||
\(777\) | −9.05071 | + | 3.04828i | −0.324692 | + | 0.109357i | ||||
\(778\) | 23.4555 | + | 8.53711i | 0.840921 | + | 0.306070i | ||||
\(779\) | 0.0379733 | + | 0.215357i | 0.00136053 | + | 0.00771597i | ||||
\(780\) | −1.66462 | − | 3.05142i | −0.0596031 | − | 0.109258i | ||||
\(781\) | 12.6774 | + | 10.6376i | 0.453634 | + | 0.380644i | ||||
\(782\) | 48.0583 | 1.71856 | ||||||||
\(783\) | 23.3075 | + | 22.6334i | 0.832942 | + | 0.808852i | ||||
\(784\) | 1.00000 | 0.0357143 | ||||||||
\(785\) | −3.29487 | − | 2.76473i | −0.117599 | − | 0.0986773i | ||||
\(786\) | −10.0691 | + | 16.5046i | −0.359154 | + | 0.588701i | ||||
\(787\) | 5.59324 | + | 31.7209i | 0.199378 | + | 1.13073i | 0.906045 | + | 0.423181i | \(0.139086\pi\) |
−0.706668 | + | 0.707546i | \(0.749802\pi\) | |||||||
\(788\) | −13.4527 | − | 4.89639i | −0.479233 | − | 0.174427i | ||||
\(789\) | 3.86788 | − | 19.2060i | 0.137700 | − | 0.683752i | ||||
\(790\) | 0.284527 | − | 1.61363i | 0.0101230 | − | 0.0574105i | ||||
\(791\) | 3.37650 | − | 5.84827i | 0.120055 | − | 0.207941i | ||||
\(792\) | 1.94920 | − | 8.59827i | 0.0692619 | − | 0.305526i | ||||
\(793\) | 35.8075 | + | 62.0204i | 1.27156 | + | 2.20241i | ||||
\(794\) | 16.8305 | − | 6.12578i | 0.597290 | − | 0.217396i | ||||
\(795\) | −2.86331 | − | 1.12134i | −0.101551 | − | 0.0397697i | ||||
\(796\) | 5.53099 | − | 4.64105i | 0.196041 | − | 0.164498i | ||||
\(797\) | −35.7966 | + | 30.0369i | −1.26798 | + | 1.06396i | −0.273196 | + | 0.961958i | \(0.588081\pi\) |
−0.994784 | + | 0.102004i | \(0.967475\pi\) | |||||||
\(798\) | −0.00768919 | − | 0.0507612i | −0.000272194 | − | 0.00179693i | ||||
\(799\) | −62.0036 | + | 22.5675i | −2.19353 | + | 0.798379i | ||||
\(800\) | −2.42894 | − | 4.20704i | −0.0858759 | − | 0.148741i | ||||
\(801\) | 4.28758 | − | 6.65993i | 0.151494 | − | 0.235317i | ||||
\(802\) | −2.61187 | + | 4.52390i | −0.0922285 | + | 0.159744i | ||||
\(803\) | −5.62771 | + | 31.9163i | −0.198598 | + | 1.12630i | ||||
\(804\) | −15.4046 | − | 13.5745i | −0.543278 | − | 0.478736i | ||||
\(805\) | 2.81145 | + | 1.02329i | 0.0990907 | + | 0.0360661i | ||||
\(806\) | −0.369219 | − | 2.09394i | −0.0130052 | − | 0.0737560i | ||||
\(807\) | 27.1096 | + | 0.656130i | 0.954303 | + | 0.0230969i | ||||
\(808\) | −7.63633 | − | 6.40764i | −0.268645 | − | 0.225420i | ||||
\(809\) | 8.71526 | 0.306412 | 0.153206 | − | 0.988194i | \(-0.451040\pi\) | ||||
0.153206 | + | 0.988194i | \(0.451040\pi\) | |||||||
\(810\) | 1.40457 | + | 3.08858i | 0.0493514 | + | 0.108522i | ||||
\(811\) | −7.14643 | −0.250945 | −0.125473 | − | 0.992097i | \(-0.540045\pi\) | ||||
−0.125473 | + | 0.992097i | \(0.540045\pi\) | |||||||
\(812\) | −4.78964 | − | 4.01899i | −0.168084 | − | 0.141039i | ||||
\(813\) | −13.5057 | − | 0.326876i | −0.473665 | − | 0.0114640i | ||||
\(814\) | −2.81382 | − | 15.9580i | −0.0986244 | − | 0.559327i | ||||
\(815\) | −8.27389 | − | 3.01145i | −0.289822 | − | 0.105486i | ||||
\(816\) | −7.86929 | − | 6.93440i | −0.275480 | − | 0.242753i | ||||
\(817\) | −0.00800098 | + | 0.0453758i | −0.000279919 | + | 0.00158750i | ||||
\(818\) | 11.0008 | − | 19.0540i | 0.384634 | − | 0.666206i | ||||
\(819\) | 7.30644 | + | 14.2003i | 0.255308 | + | 0.496197i | ||||
\(820\) | 1.39064 | + | 2.40866i | 0.0485633 | + | 0.0841142i | ||||
\(821\) | 3.95083 | − | 1.43798i | 0.137885 | − | 0.0501859i | −0.272156 | − | 0.962253i | \(-0.587737\pi\) |
0.410041 | + | 0.912067i | \(0.365514\pi\) | |||||||
\(822\) | −1.21429 | − | 8.01630i | −0.0423532 | − | 0.279600i | ||||
\(823\) | 26.6232 | − | 22.3395i | 0.928026 | − | 0.778706i | −0.0474361 | − | 0.998874i | \(-0.515105\pi\) |
0.975462 | + | 0.220168i | \(0.0706606\pi\) | |||||||
\(824\) | −8.18925 | + | 6.87160i | −0.285286 | + | 0.239384i | ||||
\(825\) | 23.0247 | + | 9.01702i | 0.801619 | + | 0.313932i | ||||
\(826\) | −6.22082 | + | 2.26419i | −0.216450 | + | 0.0787814i | ||||
\(827\) | 14.0148 | + | 24.2743i | 0.487342 | + | 0.844101i | 0.999894 | − | 0.0145548i | \(-0.00463310\pi\) |
−0.512552 | + | 0.858656i | \(0.671300\pi\) | |||||||
\(828\) | 22.7404 | − | 7.05111i | 0.790282 | − | 0.245043i | ||||
\(829\) | 22.4680 | − | 38.9157i | 0.780347 | − | 1.35160i | −0.151393 | − | 0.988474i | \(-0.548376\pi\) |
0.931740 | − | 0.363126i | \(-0.118291\pi\) | |||||||
\(830\) | −0.716958 | + | 4.06607i | −0.0248860 | + | 0.141135i | ||||
\(831\) | 2.54079 | − | 12.6163i | 0.0881392 | − | 0.437656i | ||||
\(832\) | 5.00221 | + | 1.82065i | 0.173420 | + | 0.0631198i | ||||
\(833\) | 1.05155 | + | 5.96362i | 0.0364340 | + | 0.206627i | ||||
\(834\) | 4.97199 | − | 8.14976i | 0.172166 | − | 0.282203i | ||||
\(835\) | 0.552525 | + | 0.463624i | 0.0191209 | + | 0.0160444i | ||||
\(836\) | 0.0871103 | 0.00301277 | ||||||||
\(837\) | 0.211206 | + | 2.06471i | 0.00730034 | + | 0.0713669i | ||||
\(838\) | −3.78503 | −0.130752 | ||||||||
\(839\) | 28.9283 | + | 24.2738i | 0.998717 | + | 0.838023i | 0.986806 | − | 0.161906i | \(-0.0517641\pi\) |
0.0119109 | + | 0.999929i | \(0.496209\pi\) | |||||||
\(840\) | −0.312709 | − | 0.573226i | −0.0107895 | − | 0.0197782i | ||||
\(841\) | 1.75263 | + | 9.93963i | 0.0604354 | + | 0.342746i | ||||
\(842\) | 12.9632 | + | 4.71822i | 0.446742 | + | 0.162601i | ||||
\(843\) | −38.6357 | + | 13.0125i | −1.33069 | + | 0.448176i | ||||
\(844\) | −2.80110 | + | 15.8858i | −0.0964179 | + | 0.546813i | ||||
\(845\) | −2.89095 | + | 5.00728i | −0.0994518 | + | 0.172256i | ||||
\(846\) | −26.0279 | + | 19.7757i | −0.894859 | + | 0.679902i | ||||
\(847\) | 1.18169 | + | 2.04675i | 0.0406033 | + | 0.0703271i | ||||
\(848\) | 4.42529 | − | 1.61068i | 0.151965 | − | 0.0553108i | ||||
\(849\) | 25.0127 | − | 19.9771i | 0.858434 | − | 0.685611i | ||||
\(850\) | 22.5351 | − | 18.9092i | 0.772947 | − | 0.648579i | ||||
\(851\) | 33.5211 | − | 28.1275i | 1.14909 | − | 0.964200i | ||||
\(852\) | 7.62122 | − | 6.08689i | 0.261099 | − | 0.208533i | ||||
\(853\) | 50.9402 | − | 18.5407i | 1.74416 | − | 0.634822i | 0.744690 | − | 0.667410i | \(-0.232597\pi\) |
0.999469 | + | 0.0325883i | \(0.0103750\pi\) | |||||||
\(854\) | 6.72664 | + | 11.6509i | 0.230181 | + | 0.398685i | ||||
\(855\) | −0.0266932 | + | 0.0202811i | −0.000912887 | + | 0.000693600i | ||||
\(856\) | −6.71930 | + | 11.6382i | −0.229661 | + | 0.397784i | ||||
\(857\) | 9.16022 | − | 51.9502i | 0.312907 | − | 1.77458i | −0.270816 | − | 0.962631i | \(-0.587293\pi\) |
0.583723 | − | 0.811953i | \(-0.301596\pi\) | |||||||
\(858\) | −25.6789 | + | 8.64866i | −0.876662 | + | 0.295260i | ||||
\(859\) | −23.4218 | − | 8.52484i | −0.799142 | − | 0.290864i | −0.0900112 | − | 0.995941i | \(-0.528690\pi\) |
−0.709131 | + | 0.705077i | \(0.750913\pi\) | |||||||
\(860\) | 0.101761 | + | 0.577114i | 0.00347001 | + | 0.0196794i | ||||
\(861\) | −6.11949 | − | 11.2176i | −0.208552 | − | 0.382296i | ||||
\(862\) | 29.8044 | + | 25.0088i | 1.01514 | + | 0.851805i | ||||
\(863\) | 25.8796 | 0.880952 | 0.440476 | − | 0.897764i | \(-0.354810\pi\) | ||||
0.440476 | + | 0.897764i | \(0.354810\pi\) | |||||||
\(864\) | −4.74103 | − | 2.12666i | −0.161293 | − | 0.0723504i | ||||
\(865\) | 2.68123 | 0.0911646 | ||||||||
\(866\) | −9.86145 | − | 8.27474i | −0.335106 | − | 0.281187i | ||||
\(867\) | 17.7441 | − | 29.0850i | 0.602622 | − | 0.987778i | ||||
\(868\) | −0.0693598 | − | 0.393359i | −0.00235423 | − | 0.0133515i | ||||
\(869\) | −12.0026 | − | 4.36860i | −0.407161 | − | 0.148194i | ||||
\(870\) | −0.806025 | + | 4.00232i | −0.0273268 | + | 0.135691i | ||||
\(871\) | −10.9577 | + | 62.1442i | −0.371287 | + | 2.10568i | ||||
\(872\) | 8.37089 | − | 14.4988i | 0.283474 | − | 0.490992i | ||||
\(873\) | −25.5509 | + | 7.92255i | −0.864765 | + | 0.268138i | ||||
\(874\) | 0.117619 | + | 0.203722i | 0.00397852 | + | 0.00689100i | ||||
\(875\) | 3.49224 | − | 1.27107i | 0.118059 | − | 0.0429701i | ||||
\(876\) | 17.7855 | + | 6.96521i | 0.600916 | + | 0.235333i | ||||
\(877\) | −12.8839 | + | 10.8108i | −0.435057 | + | 0.365056i | −0.833856 | − | 0.551982i | \(-0.813872\pi\) |
0.398799 | + | 0.917038i | \(0.369427\pi\) | |||||||
\(878\) | −8.75149 | + | 7.34338i | −0.295349 | + | 0.247827i | ||||
\(879\) | 2.66894 | + | 17.6194i | 0.0900212 | + | 0.594287i | ||||
\(880\) | 1.04110 | − | 0.378930i | 0.0350955 | − | 0.0127737i | ||||
\(881\) | −8.45027 | − | 14.6363i | −0.284697 | − | 0.493110i | 0.687839 | − | 0.725864i | \(-0.258560\pi\) |
−0.972536 | + | 0.232754i | \(0.925226\pi\) | |||||||
\(882\) | 1.37256 | + | 2.66760i | 0.0462164 | + | 0.0898228i | ||||
\(883\) | −3.26702 | + | 5.65865i | −0.109944 | + | 0.190429i | −0.915747 | − | 0.401755i | \(-0.868401\pi\) |
0.805803 | + | 0.592183i | \(0.201734\pi\) | |||||||
\(884\) | −5.59764 | + | 31.7458i | −0.188269 | + | 1.06773i | ||||
\(885\) | 3.24320 | + | 2.85790i | 0.109019 | + | 0.0960673i | ||||
\(886\) | 31.8873 | + | 11.6060i | 1.07127 | + | 0.389912i | ||||
\(887\) | 0.881131 | + | 4.99714i | 0.0295855 | + | 0.167788i | 0.996021 | − | 0.0891231i | \(-0.0284065\pi\) |
−0.966435 | + | 0.256911i | \(0.917295\pi\) | |||||||
\(888\) | −9.54746 | − | 0.231076i | −0.320392 | − | 0.00775439i | ||||
\(889\) | −6.06265 | − | 5.08716i | −0.203335 | − | 0.170618i | ||||
\(890\) | 0.995358 | 0.0333645 | ||||||||
\(891\) | 25.6121 | − | 6.60191i | 0.858039 | − | 0.221172i | ||||
\(892\) | 22.6028 | 0.756799 | ||||||||
\(893\) | −0.247414 | − | 0.207605i | −0.00827939 | − | 0.00694723i | ||||
\(894\) | −16.6345 | − | 0.402603i | −0.556342 | − | 0.0134651i | ||||
\(895\) | 1.13213 | + | 6.42064i | 0.0378430 | + | 0.214618i | ||||
\(896\) | 0.939693 | + | 0.342020i | 0.0313929 | + | 0.0114261i | ||||
\(897\) | −54.8987 | − | 48.3767i | −1.83302 | − | 1.61525i | ||||
\(898\) | −4.60164 | + | 26.0972i | −0.153559 | + | 0.870874i | ||||
\(899\) | −1.24870 | + | 2.16281i | −0.0416464 | + | 0.0721337i | ||||
\(900\) | 7.88886 | − | 12.2538i | 0.262962 | − | 0.408461i | ||||
\(901\) | 14.2589 | + | 24.6971i | 0.475032 | + | 0.822779i | ||||
\(902\) | 20.3736 | − | 7.41539i | 0.678367 | − | 0.246905i | ||||
\(903\) | −0.403235 | − | 2.66201i | −0.0134188 | − | 0.0885861i | ||||
\(904\) | 5.17310 | − | 4.34075i | 0.172055 | − | 0.144371i | ||||
\(905\) | 3.67561 | − | 3.08421i | 0.122182 | − | 0.102522i | ||||
\(906\) | −13.1478 | − | 5.14900i | −0.436808 | − | 0.171064i | ||||
\(907\) | 20.8557 | − | 7.59087i | 0.692503 | − | 0.252051i | 0.0282967 | − | 0.999600i | \(-0.490992\pi\) |
0.664207 | + | 0.747549i | \(0.268769\pi\) | |||||||
\(908\) | 3.96043 | + | 6.85967i | 0.131432 | + | 0.227646i | ||||
\(909\) | 6.61174 | − | 29.1655i | 0.219298 | − | 0.967359i | ||||
\(910\) | −1.00342 | + | 1.73797i | −0.0332629 | + | 0.0576130i | ||||
\(911\) | 5.93733 | − | 33.6723i | 0.196713 | − | 1.11561i | −0.713246 | − | 0.700913i | \(-0.752776\pi\) |
0.909959 | − | 0.414699i | \(-0.136113\pi\) | |||||||
\(912\) | 0.0101359 | − | 0.0503298i | 0.000335633 | − | 0.00166659i | ||||
\(913\) | 30.2445 | + | 11.0081i | 1.00095 | + | 0.364315i | ||||
\(914\) | 4.51433 | + | 25.6020i | 0.149321 | + | 0.846839i | ||||
\(915\) | 4.57511 | − | 7.49922i | 0.151248 | − | 0.247917i | ||||
\(916\) | 14.3258 | + | 12.0207i | 0.473337 | + | 0.397177i | ||||
\(917\) | 11.1623 | 0.368611 | ||||||||
\(918\) | 7.69718 | − | 30.5100i | 0.254045 | − | 1.00698i | ||||
\(919\) | 40.7088 | 1.34286 | 0.671429 | − | 0.741069i | \(-0.265681\pi\) | ||||
0.671429 | + | 0.741069i | \(0.265681\pi\) | |||||||
\(920\) | 2.29192 | + | 1.92315i | 0.0755623 | + | 0.0634043i | ||||
\(921\) | 6.75927 | + | 12.3904i | 0.222726 | + | 0.408278i | ||||
\(922\) | 0.204192 | + | 1.15803i | 0.00672470 | + | 0.0381377i | ||||
\(923\) | −28.1687 | − | 10.2526i | −0.927184 | − | 0.337468i | ||||
\(924\) | −4.82392 | + | 1.62470i | −0.158695 | + | 0.0534487i | ||||
\(925\) | 4.65126 | − | 26.3786i | 0.152933 | − | 0.867324i | ||||
\(926\) | −13.4791 | + | 23.3464i | −0.442950 | + | 0.767212i | ||||
\(927\) | −29.5709 | − | 12.4140i | −0.971235 | − | 0.407729i | ||||
\(928\) | −3.12622 | − | 5.41477i | −0.102623 | − | 0.177749i | ||||
\(929\) | −45.0244 | + | 16.3875i | −1.47720 | + | 0.537658i | −0.950046 | − | 0.312110i | \(-0.898964\pi\) |
−0.527157 | + | 0.849768i | \(0.676742\pi\) | |||||||
\(930\) | −0.203794 | + | 0.162766i | −0.00668268 | + | 0.00533730i | ||||
\(931\) | −0.0227066 | + | 0.0190531i | −0.000744178 | + | 0.000624439i | ||||
\(932\) | 9.72831 | − | 8.16302i | 0.318661 | − | 0.267389i | ||||
\(933\) | −19.4150 | + | 15.5063i | −0.635618 | + | 0.507653i | ||||
\(934\) | −17.5295 | + | 6.38020i | −0.573581 | + | 0.208766i | ||||
\(935\) | 3.35456 | + | 5.81027i | 0.109706 | + | 0.190016i | ||||
\(936\) | 2.00903 | + | 15.8428i | 0.0656672 | + | 0.517839i | ||||
\(937\) | −7.76367 | + | 13.4471i | −0.253628 | + | 0.439296i | −0.964522 | − | 0.264003i | \(-0.914957\pi\) |
0.710894 | + | 0.703299i | \(0.248291\pi\) | |||||||
\(938\) | −2.05847 | + | 11.6741i | −0.0672113 | + | 0.381174i | ||||
\(939\) | −24.1497 | + | 8.13363i | −0.788096 | + | 0.265431i | ||||
\(940\) | −3.86005 | − | 1.40494i | −0.125901 | − | 0.0458242i | ||||
\(941\) | 2.70285 | + | 15.3286i | 0.0881104 | + | 0.499699i | 0.996642 | + | 0.0818828i | \(0.0260933\pi\) |
−0.908532 | + | 0.417816i | \(0.862796\pi\) | |||||||
\(942\) | 9.46356 | + | 17.3476i | 0.308340 | + | 0.565217i | ||||
\(943\) | 44.8512 | + | 37.6346i | 1.46056 | + | 1.22555i | ||||
\(944\) | −6.62006 | −0.215465 | ||||||||
\(945\) | 1.09993 | − | 1.62097i | 0.0357806 | − | 0.0527301i | ||||
\(946\) | 4.56822 | 0.148526 | ||||||||
\(947\) | −20.9966 | − | 17.6182i | −0.682296 | − | 0.572515i | 0.234380 | − | 0.972145i | \(-0.424694\pi\) |
−0.916676 | + | 0.399631i | \(0.869138\pi\) | |||||||
\(948\) | −3.92064 | + | 6.42645i | −0.127336 | + | 0.208721i | ||||
\(949\) | −10.1938 | − | 57.8118i | −0.330904 | − | 1.87665i | ||||
\(950\) | 0.135310 | + | 0.0492488i | 0.00439003 | + | 0.00159784i | ||||
\(951\) | −1.28979 | + | 6.40447i | −0.0418243 | + | 0.207679i | ||||
\(952\) | −1.05155 | + | 5.96362i | −0.0340808 | + | 0.193282i | ||||
\(953\) | −28.3137 | + | 49.0408i | −0.917172 | + | 1.58859i | −0.113481 | + | 0.993540i | \(0.536200\pi\) |
−0.803690 | + | 0.595048i | \(0.797133\pi\) | |||||||
\(954\) | 10.3706 | + | 9.59418i | 0.335761 | + | 0.310623i | ||||
\(955\) | −0.284046 | − | 0.491983i | −0.00919153 | − | 0.0159202i | ||||
\(956\) | −7.61257 | + | 2.77075i | −0.246208 | + | 0.0896124i | ||||
\(957\) | 29.6345 | + | 11.6056i | 0.957948 | + | 0.375154i | ||||
\(958\) | −9.36600 | + | 7.85900i | −0.302602 | + | 0.253913i | ||||
\(959\) | −3.58586 | + | 3.00889i | −0.115793 | + | 0.0971622i | ||||
\(960\) | −0.0977953 | − | 0.645609i | −0.00315633 | − | 0.0208369i | ||||
\(961\) | 28.9806 | − | 10.5481i | 0.934856 | − | 0.340260i | ||||
\(962\) | 14.6757 | + | 25.4191i | 0.473165 | + | 0.819546i | ||||
\(963\) | −40.2686 | − | 1.95037i | −1.29764 | − | 0.0628498i | ||||
\(964\) | −6.29252 | + | 10.8990i | −0.202668 | + | 0.351032i | ||||
\(965\) | 0.883423 | − | 5.01014i | 0.0284384 | − | 0.161282i | ||||
\(966\) | −10.3130 | − | 9.08783i | −0.331817 | − | 0.292396i | ||||
\(967\) | 12.0885 | + | 4.39986i | 0.388740 | + | 0.141490i | 0.528994 | − | 0.848626i | \(-0.322570\pi\) |
−0.140254 | + | 0.990116i | \(0.544792\pi\) | |||||||
\(968\) | 0.410397 | + | 2.32747i | 0.0131906 | + | 0.0748079i | ||||
\(969\) | 0.310806 | + | 0.00752240i | 0.00998453 | + | 0.000241654i | ||||
\(970\) | −2.57518 | − | 2.16083i | −0.0826839 | − | 0.0693800i | ||||
\(971\) | 36.2113 | 1.16207 | 0.581037 | − | 0.813877i | \(-0.302647\pi\) | ||||
0.581037 | + | 0.813877i | \(0.302647\pi\) | |||||||
\(972\) | −0.834243 | − | 15.5661i | −0.0267584 | − | 0.499283i | ||||
\(973\) | −5.51178 | −0.176700 | ||||||||
\(974\) | 19.2670 | + | 16.1669i | 0.617354 | + | 0.518022i | ||||
\(975\) | −44.7771 | − | 1.08373i | −1.43401 | − | 0.0347072i | ||||
\(976\) | 2.33614 | + | 13.2489i | 0.0747780 | + | 0.424087i | ||||
\(977\) | 25.9233 | + | 9.43530i | 0.829359 | + | 0.301862i | 0.721596 | − | 0.692315i | \(-0.243409\pi\) |
0.107763 | + | 0.994177i | \(0.465631\pi\) | |||||||
\(978\) | 30.3505 | + | 26.7448i | 0.970501 | + | 0.855204i | ||||
\(979\) | 1.34737 | − | 7.64131i | 0.0430621 | − | 0.244217i | ||||
\(980\) | −0.188497 | + | 0.326487i | −0.00602133 | + | 0.0104292i | ||||
\(981\) | 50.1666 | + | 2.42977i | 1.60169 | + | 0.0775766i | ||||
\(982\) | −15.3121 | − | 26.5213i | −0.488628 | − | 0.846329i | ||||
\(983\) | −3.78959 | + | 1.37930i | −0.120869 | + | 0.0439928i | −0.401747 | − | 0.915751i | \(-0.631597\pi\) |
0.280878 | + | 0.959744i | \(0.409375\pi\) | |||||||
\(984\) | −1.91379 | − | 12.6341i | −0.0610093 | − | 0.402761i | ||||
\(985\) | 4.13441 | − | 3.46918i | 0.131733 | − | 0.110537i | ||||
\(986\) | 29.0043 | − | 24.3375i | 0.923684 | − | 0.775063i | ||||
\(987\) | 17.5731 | + | 6.88204i | 0.559359 | + | 0.219058i | ||||
\(988\) | −0.148272 | + | 0.0539666i | −0.00471716 | + | 0.00171691i | ||||
\(989\) | 6.16815 | + | 10.6835i | 0.196136 | + | 0.339717i | ||||
\(990\) | 2.43980 | + | 2.25714i | 0.0775420 | + | 0.0717366i | ||||
\(991\) | 28.6184 | − | 49.5685i | 0.909094 | − | 1.57460i | 0.0937675 | − | 0.995594i | \(-0.470109\pi\) |
0.815326 | − | 0.579002i | \(-0.196558\pi\) | |||||||
\(992\) | 0.0693598 | − | 0.393359i | 0.00220218 | − | 0.0124892i | ||||
\(993\) | 7.69638 | − | 38.2164i | 0.244237 | − | 1.21276i | ||||
\(994\) | −5.29165 | − | 1.92600i | −0.167841 | − | 0.0610891i | ||||
\(995\) | 0.472666 | + | 2.68062i | 0.0149845 | + | 0.0849815i | ||||
\(996\) | 9.87931 | − | 16.1935i | 0.313038 | − | 0.513111i | ||||
\(997\) | −28.9793 | − | 24.3165i | −0.917782 | − | 0.770111i | 0.0558011 | − | 0.998442i | \(-0.482229\pi\) |
−0.973584 | + | 0.228331i | \(0.926673\pi\) | |||||||
\(998\) | −23.9950 | −0.759550 | ||||||||
\(999\) | −12.4880 | − | 25.7860i | −0.395103 | − | 0.815832i |
(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 | 378.2.u.e.43.1 | ✓ | 36 | |
27.22 | even | 9 | inner | 378.2.u.e.211.1 | yes | 36 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
378.2.u.e.43.1 | ✓ | 36 | 1.1 | even | 1 | trivial | |
378.2.u.e.211.1 | yes | 36 | 27.22 | even | 9 | inner |