Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [567,2,Mod(62,567)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(567, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([7, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("567.62");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 567 = 3^{4} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 567.be (of order \(18\), degree \(6\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.52751779461\) |
Analytic rank: | \(0\) |
Dimension: | \(132\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{18})\) |
Twist minimal: | no (minimal twist has level 189) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 503.12 | ||
Character | \(\chi\) | \(=\) | 567.503 |
Dual form | 567.2.be.a.62.12 |
$q$-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 \(\left(\mathbb{Z}/567\mathbb{Z}\right)^\times\).
\(n\) | \(325\) | \(407\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{11}{18}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.0448460 | − | 0.123213i | 0.0317109 | − | 0.0871250i | −0.922827 | − | 0.385215i | \(-0.874127\pi\) |
0.954538 | + | 0.298090i | \(0.0963495\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 1.51892 | + | 1.27452i | 0.759459 | + | 0.637262i | ||||
\(5\) | 0.231324 | − | 1.31190i | 0.103451 | − | 0.586701i | −0.888376 | − | 0.459116i | \(-0.848166\pi\) |
0.991828 | − | 0.127585i | \(-0.0407227\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −2.62614 | + | 0.321557i | −0.992587 | + | 0.121537i | ||||
\(8\) | 0.452264 | − | 0.261115i | 0.159899 | − | 0.0923180i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −0.151270 | − | 0.0873359i | −0.0478358 | − | 0.0276180i | ||||
\(11\) | 4.31014 | − | 0.759994i | 1.29956 | − | 0.229147i | 0.519292 | − | 0.854597i | \(-0.326196\pi\) |
0.780264 | + | 0.625450i | \(0.215085\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 1.38870 | + | 3.81541i | 0.385155 | + | 1.05821i | 0.969155 | + | 0.246452i | \(0.0792647\pi\) |
−0.584000 | + | 0.811754i | \(0.698513\pi\) | |||||||
\(14\) | −0.0781517 | + | 0.337996i | −0.0208869 | + | 0.0903332i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.676731 | + | 3.83793i | 0.169183 | + | 0.959483i | ||||
\(17\) | 1.85685 | − | 3.21617i | 0.450353 | − | 0.780035i | −0.548055 | − | 0.836443i | \(-0.684631\pi\) |
0.998408 | + | 0.0564079i | \(0.0179647\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 4.31784 | − | 2.49291i | 0.990581 | − | 0.571912i | 0.0851328 | − | 0.996370i | \(-0.472869\pi\) |
0.905448 | + | 0.424458i | \(0.139535\pi\) | |||||||
\(20\) | 2.02342 | − | 1.69785i | 0.452450 | − | 0.379650i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0.0996512 | − | 0.565150i | 0.0212457 | − | 0.120490i | ||||
\(23\) | −0.242663 | + | 0.289194i | −0.0505987 | + | 0.0603012i | −0.790750 | − | 0.612139i | \(-0.790309\pi\) |
0.740152 | + | 0.672440i | \(0.234754\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 3.03088 | + | 1.10315i | 0.606176 | + | 0.220630i | ||||
\(26\) | 0.532388 | 0.104410 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −4.39872 | − | 2.85866i | −0.831280 | − | 0.540236i | ||||
\(29\) | −1.57190 | + | 4.31876i | −0.291895 | + | 0.801974i | 0.703895 | + | 0.710304i | \(0.251443\pi\) |
−0.995789 | + | 0.0916699i | \(0.970780\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 0.693448 | − | 0.826419i | 0.124547 | − | 0.148429i | −0.700168 | − | 0.713979i | \(-0.746891\pi\) |
0.824714 | + | 0.565549i | \(0.191336\pi\) | |||||||
\(32\) | 1.53182 | + | 0.270102i | 0.270791 | + | 0.0477477i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −0.313002 | − | 0.373021i | −0.0536794 | − | 0.0639727i | ||||
\(35\) | −0.185638 | + | 3.51963i | −0.0313785 | + | 0.594925i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −0.172576 | + | 0.298911i | −0.0283713 | + | 0.0491406i | −0.879862 | − | 0.475228i | \(-0.842365\pi\) |
0.851491 | + | 0.524369i | \(0.175699\pi\) | |||||||
\(38\) | −0.113522 | − | 0.643813i | −0.0184156 | − | 0.104440i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −0.237938 | − | 0.653729i | −0.0376213 | − | 0.103364i | ||||
\(41\) | −5.09719 | + | 1.85523i | −0.796047 | + | 0.289738i | −0.707848 | − | 0.706365i | \(-0.750334\pi\) |
−0.0881999 | + | 0.996103i | \(0.528111\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −0.390810 | − | 2.21639i | −0.0595979 | − | 0.337997i | 0.940400 | − | 0.340071i | \(-0.110451\pi\) |
−0.999998 | + | 0.00207394i | \(0.999340\pi\) | |||||||
\(44\) | 7.51538 | + | 4.33901i | 1.13299 | + | 0.654130i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0.0247502 | + | 0.0428686i | 0.00364921 | + | 0.00632062i | ||||
\(47\) | −9.77186 | + | 8.19957i | −1.42537 | + | 1.19603i | −0.476987 | + | 0.878910i | \(0.658271\pi\) |
−0.948386 | + | 0.317119i | \(0.897284\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 6.79320 | − | 1.68890i | 0.970458 | − | 0.241272i | ||||
\(50\) | 0.271846 | − | 0.323973i | 0.0384448 | − | 0.0458167i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −2.75352 | + | 7.56523i | −0.381844 | + | 1.04911i | ||||
\(53\) | − | 9.19872i | − | 1.26354i | −0.775155 | − | 0.631771i | \(-0.782328\pi\) | ||
0.775155 | − | 0.631771i | \(-0.217672\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | − | 5.83030i | − | 0.786157i | ||||||
\(56\) | −1.10374 | + | 0.831152i | −0.147494 | + | 0.111067i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 0.461636 | + | 0.387359i | 0.0606158 | + | 0.0508627i | ||||
\(59\) | 2.24314 | − | 12.7215i | 0.292032 | − | 1.65620i | −0.386993 | − | 0.922082i | \(-0.626486\pi\) |
0.679026 | − | 0.734115i | \(-0.262403\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −1.14717 | − | 1.36715i | −0.146880 | − | 0.175045i | 0.687588 | − | 0.726101i | \(-0.258670\pi\) |
−0.834468 | + | 0.551056i | \(0.814225\pi\) | |||||||
\(62\) | −0.0707275 | − | 0.122504i | −0.00898240 | − | 0.0155580i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −3.79516 | + | 6.57342i | −0.474395 | + | 0.821677i | ||||
\(65\) | 5.32670 | − | 0.939241i | 0.660696 | − | 0.116498i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 5.40821 | − | 1.96843i | 0.660718 | − | 0.240482i | 0.0101714 | − | 0.999948i | \(-0.496762\pi\) |
0.650546 | + | 0.759467i | \(0.274540\pi\) | |||||||
\(68\) | 6.91949 | − | 2.51849i | 0.839111 | − | 0.305412i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0.425340 | + | 0.180714i | 0.0508378 | + | 0.0215995i | ||||
\(71\) | −2.30444 | − | 1.33047i | −0.273487 | − | 0.157898i | 0.356984 | − | 0.934110i | \(-0.383805\pi\) |
−0.630471 | + | 0.776213i | \(0.717138\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −4.63485 | + | 2.67593i | −0.542469 | + | 0.313194i | −0.746079 | − | 0.665858i | \(-0.768066\pi\) |
0.203610 | + | 0.979052i | \(0.434732\pi\) | |||||||
\(74\) | 0.0290904 | + | 0.0346686i | 0.00338169 | + | 0.00403015i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 9.73572 | + | 1.71667i | 1.11676 | + | 0.196916i | ||||
\(77\) | −11.0746 | + | 3.38180i | −1.26207 | + | 0.385392i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 5.48206 | + | 1.99531i | 0.616780 | + | 0.224489i | 0.631467 | − | 0.775403i | \(-0.282453\pi\) |
−0.0146875 | + | 0.999892i | \(0.504675\pi\) | |||||||
\(80\) | 5.19155 | 0.580432 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 0.711242i | 0.0785435i | ||||||||
\(83\) | 4.03800 | + | 1.46971i | 0.443228 | + | 0.161322i | 0.553987 | − | 0.832526i | \(-0.313106\pi\) |
−0.110759 | + | 0.993847i | \(0.535328\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −3.78977 | − | 3.17999i | −0.411058 | − | 0.344918i | ||||
\(86\) | −0.290615 | − | 0.0512433i | −0.0313379 | − | 0.00552571i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 1.75088 | − | 1.46916i | 0.186644 | − | 0.156613i | ||||
\(89\) | 5.59352 | + | 9.68826i | 0.592912 | + | 1.02695i | 0.993838 | + | 0.110843i | \(0.0353550\pi\) |
−0.400926 | + | 0.916110i | \(0.631312\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −4.87378 | − | 9.57326i | −0.510911 | − | 1.00355i | ||||
\(92\) | −0.737171 | + | 0.129983i | −0.0768554 | + | 0.0135517i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 0.572067 | + | 1.57174i | 0.0590042 | + | 0.162113i | ||||
\(95\) | −2.27163 | − | 6.24126i | −0.233065 | − | 0.640340i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −14.5132 | + | 2.55906i | −1.47359 | + | 0.259833i | −0.852013 | − | 0.523521i | \(-0.824618\pi\) |
−0.621575 | + | 0.783354i | \(0.713507\pi\) | |||||||
\(98\) | 0.0965524 | − | 0.912754i | 0.00975327 | − | 0.0922021i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 3.19767 | + | 5.53853i | 0.319767 | + | 0.553853i | ||||
\(101\) | −9.33893 | + | 7.83629i | −0.929258 | + | 0.779740i | −0.975684 | − | 0.219182i | \(-0.929661\pi\) |
0.0464262 | + | 0.998922i | \(0.485217\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −8.85590 | − | 1.56153i | −0.872597 | − | 0.153862i | −0.280622 | − | 0.959818i | \(-0.590541\pi\) |
−0.591976 | + | 0.805956i | \(0.701652\pi\) | |||||||
\(104\) | 1.62432 | + | 1.36297i | 0.159278 | + | 0.133650i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −1.13341 | − | 0.412526i | −0.110086 | − | 0.0400680i | ||||
\(107\) | − | 18.2346i | − | 1.76280i | −0.472370 | − | 0.881401i | \(-0.656601\pi\) | ||
0.472370 | − | 0.881401i | \(-0.343399\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −10.0889 | −0.966342 | −0.483171 | − | 0.875526i | \(-0.660515\pi\) | ||||
−0.483171 | + | 0.875526i | \(0.660515\pi\) | |||||||
\(110\) | −0.718371 | − | 0.261466i | −0.0684940 | − | 0.0249298i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −3.01130 | − | 9.86133i | −0.284541 | − | 0.931809i | ||||
\(113\) | −16.1779 | − | 2.85260i | −1.52189 | − | 0.268350i | −0.650714 | − | 0.759323i | \(-0.725530\pi\) |
−0.871175 | + | 0.490973i | \(0.836641\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0.323262 | + | 0.385248i | 0.0301443 | + | 0.0359246i | ||||
\(116\) | −7.89196 | + | 4.55642i | −0.732750 | + | 0.423053i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −1.46686 | − | 0.846893i | −0.135036 | − | 0.0779628i | ||||
\(119\) | −3.84218 | + | 9.04318i | −0.352212 | + | 0.828987i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 7.66310 | − | 2.78914i | 0.696646 | − | 0.253558i | ||||
\(122\) | −0.219897 | + | 0.0800359i | −0.0199085 | + | 0.00724611i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 2.10658 | − | 0.371447i | 0.189177 | − | 0.0333569i | ||||
\(125\) | 5.47870 | − | 9.48939i | 0.490030 | − | 0.848757i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −10.9612 | − | 18.9854i | −0.972652 | − | 1.68468i | −0.687476 | − | 0.726207i | \(-0.741281\pi\) |
−0.285175 | − | 0.958475i | \(-0.592052\pi\) | |||||||
\(128\) | 2.63939 | + | 3.14550i | 0.233291 | + | 0.278026i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0.123154 | − | 0.698442i | 0.0108013 | − | 0.0612574i | ||||
\(131\) | −8.67264 | − | 7.27721i | −0.757732 | − | 0.635813i | 0.179803 | − | 0.983703i | \(-0.442454\pi\) |
−0.937535 | + | 0.347890i | \(0.886898\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −10.5376 | + | 7.93515i | −0.913729 | + | 0.688064i | ||||
\(134\) | − | 0.754639i | − | 0.0651909i | ||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | − | 1.93941i | − | 0.166303i | ||||||
\(137\) | −3.91826 | + | 10.7653i | −0.334760 | + | 0.919745i | 0.652095 | + | 0.758137i | \(0.273890\pi\) |
−0.986855 | + | 0.161608i | \(0.948332\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −9.59685 | + | 11.4371i | −0.813994 | + | 0.970081i | −0.999922 | − | 0.0124827i | \(-0.996027\pi\) |
0.185928 | + | 0.982563i | \(0.440471\pi\) | |||||||
\(140\) | −4.76782 | + | 5.10942i | −0.402954 | + | 0.431825i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −0.267277 | + | 0.224272i | −0.0224294 | + | 0.0188205i | ||||
\(143\) | 8.88517 | + | 15.3896i | 0.743016 | + | 1.28694i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 5.30219 | + | 3.06122i | 0.440322 | + | 0.254220i | ||||
\(146\) | 0.121856 | + | 0.691081i | 0.0100849 | + | 0.0571943i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −0.643098 | + | 0.234068i | −0.0528623 | + | 0.0192403i | ||||
\(149\) | 1.04227 | + | 2.86360i | 0.0853857 | + | 0.234595i | 0.975036 | − | 0.222047i | \(-0.0712740\pi\) |
−0.889650 | + | 0.456643i | \(0.849052\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −0.106414 | − | 0.603503i | −0.00865984 | − | 0.0491124i | 0.980172 | − | 0.198150i | \(-0.0634934\pi\) |
−0.988831 | + | 0.149038i | \(0.952382\pi\) | |||||||
\(152\) | 1.30187 | − | 2.25490i | 0.105596 | − | 0.182897i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −0.0799700 | + | 1.51620i | −0.00644417 | + | 0.122179i | ||||
\(155\) | −0.923771 | − | 1.10091i | −0.0741991 | − | 0.0884270i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 1.89383 | + | 0.333933i | 0.151144 | + | 0.0266507i | 0.248708 | − | 0.968579i | \(-0.419994\pi\) |
−0.0975643 | + | 0.995229i | \(0.531105\pi\) | |||||||
\(158\) | 0.491697 | − | 0.585981i | 0.0391173 | − | 0.0466182i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 0.708696 | − | 1.94713i | 0.0560273 | − | 0.153934i | ||||
\(161\) | 0.544274 | − | 0.837495i | 0.0428948 | − | 0.0660038i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 14.3745 | 1.12590 | 0.562949 | − | 0.826492i | \(-0.309667\pi\) | ||||
0.562949 | + | 0.826492i | \(0.309667\pi\) | |||||||
\(164\) | −10.1067 | − | 3.67856i | −0.789204 | − | 0.287247i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 0.362176 | − | 0.431625i | 0.0281103 | − | 0.0335006i | ||||
\(167\) | −2.72667 | + | 15.4637i | −0.210996 | + | 1.19662i | 0.676724 | + | 0.736237i | \(0.263399\pi\) |
−0.887720 | + | 0.460383i | \(0.847712\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −2.67033 | + | 2.24067i | −0.205410 | + | 0.172359i | ||||
\(170\) | −0.561773 | + | 0.324340i | −0.0430861 | + | 0.0248757i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 2.23124 | − | 3.86462i | 0.170130 | − | 0.294674i | ||||
\(173\) | −0.759414 | − | 4.30685i | −0.0577372 | − | 0.327444i | 0.942235 | − | 0.334954i | \(-0.108721\pi\) |
−0.999972 | + | 0.00750984i | \(0.997610\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −8.31424 | − | 1.92243i | −0.628497 | − | 0.145322i | ||||
\(176\) | 5.83361 | + | 16.0277i | 0.439725 | + | 1.20813i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 1.44457 | − | 0.254717i | 0.108275 | − | 0.0190918i | ||||
\(179\) | 12.1181 | + | 6.99637i | 0.905747 | + | 0.522933i | 0.879060 | − | 0.476710i | \(-0.158171\pi\) |
0.0266868 | + | 0.999644i | \(0.491504\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 18.7936 | − | 10.8505i | 1.39691 | − | 0.806509i | 0.402846 | − | 0.915268i | \(-0.368021\pi\) |
0.994068 | + | 0.108759i | \(0.0346878\pi\) | |||||||
\(182\) | −1.39812 | + | 0.171193i | −0.103636 | + | 0.0126897i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −0.0342348 | + | 0.194155i | −0.00252382 | + | 0.0143133i | ||||
\(185\) | 0.352221 | + | 0.295548i | 0.0258958 | + | 0.0217292i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 5.55904 | − | 15.2733i | 0.406517 | − | 1.11690i | ||||
\(188\) | −25.2932 | −1.84470 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −0.870881 | −0.0631803 | ||||||||
\(191\) | 7.16981 | − | 19.6989i | 0.518789 | − | 1.42536i | −0.353066 | − | 0.935598i | \(-0.614861\pi\) |
0.871855 | − | 0.489763i | \(-0.162917\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 1.16810 | + | 0.980152i | 0.0840817 | + | 0.0705529i | 0.683860 | − | 0.729614i | \(-0.260300\pi\) |
−0.599778 | + | 0.800166i | \(0.704744\pi\) | |||||||
\(194\) | −0.335547 | + | 1.90298i | −0.0240908 | + | 0.136626i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 12.4709 | + | 6.09279i | 0.890776 | + | 0.435199i | ||||
\(197\) | −21.6293 | + | 12.4877i | −1.54102 | + | 0.889709i | −0.542247 | + | 0.840219i | \(0.682426\pi\) |
−0.998775 | + | 0.0494899i | \(0.984240\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −0.716693 | − | 0.413783i | −0.0508050 | − | 0.0293323i | 0.474382 | − | 0.880319i | \(-0.342671\pi\) |
−0.525187 | + | 0.850987i | \(0.676005\pi\) | |||||||
\(200\) | 1.65881 | − | 0.292492i | 0.117295 | − | 0.0206823i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 0.546722 | + | 1.50211i | 0.0384672 | + | 0.105688i | ||||
\(203\) | 2.73930 | − | 11.8471i | 0.192261 | − | 0.831505i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 1.25478 | + | 7.11618i | 0.0876373 | + | 0.497016i | ||||
\(206\) | −0.589553 | + | 1.02114i | −0.0410761 | + | 0.0711460i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −13.7035 | + | 7.91174i | −0.950169 | + | 0.548580i | ||||
\(209\) | 16.7159 | − | 14.0263i | 1.15626 | − | 0.970220i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 1.02986 | − | 5.84064i | 0.0708987 | − | 0.402086i | −0.928619 | − | 0.371034i | \(-0.879003\pi\) |
0.999518 | − | 0.0310519i | \(-0.00988572\pi\) | |||||||
\(212\) | 11.7240 | − | 13.9721i | 0.805207 | − | 0.959608i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −2.24674 | − | 0.817747i | −0.153584 | − | 0.0559000i | ||||
\(215\) | −2.99810 | −0.204469 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −1.55535 | + | 2.39327i | −0.105584 | + | 0.162466i | ||||
\(218\) | −0.452447 | + | 1.24309i | −0.0306436 | + | 0.0841926i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 7.43085 | − | 8.85575i | 0.500988 | − | 0.597054i | ||||
\(221\) | 14.8496 | + | 2.61839i | 0.998893 | + | 0.176132i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −9.34376 | − | 11.1355i | −0.625705 | − | 0.745686i | 0.356336 | − | 0.934358i | \(-0.384026\pi\) |
−0.982040 | + | 0.188672i | \(0.939582\pi\) | |||||||
\(224\) | −4.10964 | − | 0.216757i | −0.274587 | − | 0.0144827i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −1.07699 | + | 1.86541i | −0.0716405 | + | 0.124085i | ||||
\(227\) | 1.15766 | + | 6.56541i | 0.0768366 | + | 0.435762i | 0.998821 | + | 0.0485359i | \(0.0154555\pi\) |
−0.921985 | + | 0.387226i | \(0.873433\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 6.09035 | + | 16.7331i | 0.402462 | + | 1.10575i | 0.961066 | + | 0.276320i | \(0.0891149\pi\) |
−0.558604 | + | 0.829434i | \(0.688663\pi\) | |||||||
\(230\) | 0.0619647 | − | 0.0225533i | 0.00408583 | − | 0.00148712i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 0.416778 | + | 2.36367i | 0.0273628 | + | 0.155182i | ||||
\(233\) | 13.8987 | + | 8.02444i | 0.910537 | + | 0.525699i | 0.880604 | − | 0.473853i | \(-0.157137\pi\) |
0.0299330 | + | 0.999552i | \(0.490471\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 8.49658 | + | 14.7165i | 0.554256 | + | 0.959999i | ||||
\(236\) | 19.6210 | − | 16.4640i | 1.27722 | − | 1.07171i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0.941934 | + | 0.878958i | 0.0610565 | + | 0.0569744i | ||||
\(239\) | 1.31201 | − | 1.56359i | 0.0848668 | − | 0.101140i | −0.721940 | − | 0.691956i | \(-0.756749\pi\) |
0.806807 | + | 0.590815i | \(0.201194\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 3.55423 | − | 9.76517i | 0.228948 | − | 0.629030i | −0.771021 | − | 0.636809i | \(-0.780254\pi\) |
0.999970 | + | 0.00777897i | \(0.00247615\pi\) | |||||||
\(242\) | − | 1.06928i | − | 0.0687359i | ||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | − | 3.53868i | − | 0.226541i | ||||||
\(245\) | −0.644249 | − | 9.30272i | −0.0411596 | − | 0.594329i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 15.5076 | + | 13.0125i | 0.986728 | + | 0.827963i | ||||
\(248\) | 0.0978313 | − | 0.554829i | 0.00621230 | − | 0.0352317i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −0.923522 | − | 1.10061i | −0.0584086 | − | 0.0696087i | ||||
\(251\) | −11.7343 | − | 20.3243i | −0.740660 | − | 1.28286i | −0.952195 | − | 0.305490i | \(-0.901180\pi\) |
0.211535 | − | 0.977370i | \(-0.432154\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −0.826126 | + | 1.43089i | −0.0519381 | + | 0.0899594i | ||||
\(254\) | −2.83082 | + | 0.499151i | −0.177622 | + | 0.0313195i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −13.7592 | + | 5.00794i | −0.859951 | + | 0.312996i | ||||
\(257\) | −4.71223 | + | 1.71511i | −0.293941 | + | 0.106986i | −0.484781 | − | 0.874635i | \(-0.661101\pi\) |
0.190841 | + | 0.981621i | \(0.438879\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 0.357092 | − | 0.840473i | 0.0221886 | − | 0.0522245i | ||||
\(260\) | 9.28790 | + | 5.36237i | 0.576011 | + | 0.332560i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −1.28558 | + | 0.742232i | −0.0794236 | + | 0.0458552i | ||||
\(263\) | −3.92830 | − | 4.68156i | −0.242229 | − | 0.288678i | 0.631209 | − | 0.775613i | \(-0.282559\pi\) |
−0.873438 | + | 0.486935i | \(0.838115\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −12.0678 | − | 2.12789i | −0.741321 | − | 0.130715i | ||||
\(266\) | 0.505146 | + | 1.65424i | 0.0309725 | + | 0.101428i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 10.7234 | + | 3.90301i | 0.655038 | + | 0.238414i | ||||
\(269\) | −4.75791 | −0.290095 | −0.145048 | − | 0.989425i | \(-0.546334\pi\) | ||||
−0.145048 | + | 0.989425i | \(0.546334\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 11.7607i | 0.714413i | 0.934025 | + | 0.357206i | \(0.116271\pi\) | ||||
−0.934025 | + | 0.357206i | \(0.883729\pi\) | |||||||
\(272\) | 13.6000 | + | 4.95000i | 0.824622 | + | 0.300138i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 1.15072 | + | 0.965565i | 0.0695173 | + | 0.0583319i | ||||
\(275\) | 13.9019 | + | 2.45128i | 0.838317 | + | 0.147818i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −3.40027 | + | 2.85316i | −0.204302 | + | 0.171430i | −0.739198 | − | 0.673488i | \(-0.764795\pi\) |
0.534896 | + | 0.844918i | \(0.320351\pi\) | |||||||
\(278\) | 0.978821 | + | 1.69537i | 0.0587058 | + | 0.101681i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0.835069 | + | 1.64027i | 0.0499049 | + | 0.0980250i | ||||
\(281\) | −8.77039 | + | 1.54646i | −0.523198 | + | 0.0922539i | −0.429009 | − | 0.903300i | \(-0.641137\pi\) |
−0.0941892 | + | 0.995554i | \(0.530026\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −8.13265 | − | 22.3443i | −0.483436 | − | 1.32823i | −0.906529 | − | 0.422143i | \(-0.861278\pi\) |
0.423093 | − | 0.906086i | \(-0.360944\pi\) | |||||||
\(284\) | −1.80454 | − | 4.95794i | −0.107080 | − | 0.294200i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 2.29467 | − | 0.404612i | 0.135686 | − | 0.0239252i | ||||
\(287\) | 12.7894 | − | 6.51111i | 0.754932 | − | 0.384339i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 1.60419 | + | 2.77853i | 0.0943639 | + | 0.163443i | ||||
\(290\) | 0.614965 | − | 0.516017i | 0.0361120 | − | 0.0303016i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −10.4505 | − | 1.84271i | −0.611570 | − | 0.107836i | ||||
\(293\) | 20.3420 | + | 17.0689i | 1.18839 | + | 0.997178i | 0.999886 | + | 0.0151056i | \(0.00480846\pi\) |
0.188505 | + | 0.982072i | \(0.439636\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −16.1705 | − | 5.88558i | −0.941482 | − | 0.342671i | ||||
\(296\) | 0.180249i | 0.0104767i | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 0.399576 | 0.0231468 | ||||||||
\(299\) | −1.44038 | − | 0.524256i | −0.0832995 | − | 0.0303185i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 1.73902 | + | 5.69488i | 0.100235 | + | 0.328248i | ||||
\(302\) | −0.0791319 | − | 0.0139531i | −0.00455353 | − | 0.000802910i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 12.4896 | + | 14.8846i | 0.716329 | + | 0.853688i | ||||
\(305\) | −2.05893 | + | 1.18873i | −0.117894 | + | 0.0680662i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 27.6153 | + | 15.9437i | 1.57609 | + | 0.909956i | 0.995397 | + | 0.0958335i | \(0.0305517\pi\) |
0.580693 | + | 0.814123i | \(0.302782\pi\) | |||||||
\(308\) | −21.1317 | − | 8.97821i | −1.20409 | − | 0.511581i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −0.177074 | + | 0.0644497i | −0.0100571 | + | 0.00366050i | ||||
\(311\) | −5.67000 | + | 2.06371i | −0.321516 | + | 0.117022i | −0.497736 | − | 0.867328i | \(-0.665835\pi\) |
0.176220 | + | 0.984351i | \(0.443613\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 4.63763 | − | 0.817739i | 0.262134 | − | 0.0462213i | −0.0410364 | − | 0.999158i | \(-0.513066\pi\) |
0.303170 | + | 0.952936i | \(0.401955\pi\) | |||||||
\(314\) | 0.126076 | − | 0.218369i | 0.00711485 | − | 0.0123233i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 5.78373 | + | 10.0177i | 0.325360 | + | 0.563541i | ||||
\(317\) | 9.57584 | + | 11.4120i | 0.537833 | + | 0.640964i | 0.964700 | − | 0.263350i | \(-0.0848273\pi\) |
−0.426867 | + | 0.904314i | \(0.640383\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −3.49288 | + | 19.8091i | −0.195564 | + | 1.10910i | ||||
\(320\) | 7.74578 | + | 6.49948i | 0.433002 | + | 0.363332i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −0.0787820 | − | 0.104620i | −0.00439035 | − | 0.00583025i | ||||
\(323\) | − | 18.5159i | − | 1.03025i | ||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 13.0960i | 0.726436i | ||||||||
\(326\) | 0.644639 | − | 1.77113i | 0.0357032 | − | 0.0980938i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −1.82085 | + | 2.17000i | −0.100540 | + | 0.119818i | ||||
\(329\) | 23.0256 | − | 24.6754i | 1.26944 | − | 1.36040i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 8.22997 | − | 6.90576i | 0.452360 | − | 0.379575i | −0.387951 | − | 0.921680i | \(-0.626817\pi\) |
0.840311 | + | 0.542105i | \(0.182373\pi\) | |||||||
\(332\) | 4.26021 | + | 7.37890i | 0.233809 | + | 0.404970i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 1.78306 | + | 1.02945i | 0.0975646 | + | 0.0563290i | ||||
\(335\) | −1.33134 | − | 7.55039i | −0.0727388 | − | 0.412522i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −8.99836 | + | 3.27514i | −0.490172 | + | 0.178408i | −0.575268 | − | 0.817965i | \(-0.695102\pi\) |
0.0850964 | + | 0.996373i | \(0.472880\pi\) | |||||||
\(338\) | 0.156327 | + | 0.429506i | 0.00850308 | + | 0.0233620i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −1.70337 | − | 9.66030i | −0.0923782 | − | 0.523903i | ||||
\(341\) | 2.36078 | − | 4.08900i | 0.127844 | − | 0.221432i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −17.2968 | + | 6.61969i | −0.933940 | + | 0.357430i | ||||
\(344\) | −0.755482 | − | 0.900348i | −0.0407328 | − | 0.0485435i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −0.564718 | − | 0.0995751i | −0.0303594 | − | 0.00535319i | ||||
\(347\) | −14.4006 | + | 17.1620i | −0.773065 | + | 0.921303i | −0.998598 | − | 0.0529329i | \(-0.983143\pi\) |
0.225533 | + | 0.974235i | \(0.427588\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 4.98766 | − | 13.7035i | 0.266983 | − | 0.733531i | −0.731670 | − | 0.681659i | \(-0.761259\pi\) |
0.998654 | − | 0.0518722i | \(-0.0165189\pi\) | |||||||
\(350\) | −0.609729 | + | 0.938212i | −0.0325914 | + | 0.0501496i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 6.80766 | 0.362849 | ||||||||
\(353\) | −7.53944 | − | 2.74413i | −0.401284 | − | 0.146055i | 0.133491 | − | 0.991050i | \(-0.457381\pi\) |
−0.534775 | + | 0.844995i | \(0.679604\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −2.27852 | + | 2.71544i | −0.120931 | + | 0.144120i | ||||
\(356\) | −3.85182 | + | 21.8447i | −0.204146 | + | 1.15777i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 1.40549 | − | 1.17935i | 0.0742827 | − | 0.0623305i | ||||
\(359\) | 1.26586 | − | 0.730844i | 0.0668095 | − | 0.0385725i | −0.466223 | − | 0.884667i | \(-0.654386\pi\) |
0.533033 | + | 0.846095i | \(0.321052\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 2.92916 | − | 5.07346i | 0.154167 | − | 0.267024i | ||||
\(362\) | −0.494107 | − | 2.80222i | −0.0259697 | − | 0.147281i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 4.79847 | − | 20.7528i | 0.251508 | − | 1.08774i | ||||
\(365\) | 2.43842 | + | 6.69949i | 0.127633 | + | 0.350668i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 25.7879 | − | 4.54711i | 1.34612 | − | 0.237357i | 0.546296 | − | 0.837592i | \(-0.316037\pi\) |
0.799824 | + | 0.600235i | \(0.204926\pi\) | |||||||
\(368\) | −1.27413 | − | 0.735617i | −0.0664184 | − | 0.0383467i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 0.0522112 | − | 0.0301442i | 0.00271433 | − | 0.00156712i | ||||
\(371\) | 2.95791 | + | 24.1571i | 0.153567 | + | 1.25417i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −2.15588 | + | 12.2266i | −0.111627 | + | 0.633069i | 0.876738 | + | 0.480969i | \(0.159715\pi\) |
−0.988365 | + | 0.152101i | \(0.951396\pi\) | |||||||
\(374\) | −1.63258 | − | 1.36990i | −0.0844186 | − | 0.0708356i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −2.27843 | + | 6.25995i | −0.117501 | + | 0.322832i | ||||
\(377\) | −18.6608 | −0.961078 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 7.53240 | 0.386913 | 0.193457 | − | 0.981109i | \(-0.438030\pi\) | ||||
0.193457 | + | 0.981109i | \(0.438030\pi\) | |||||||
\(380\) | 4.50421 | − | 12.3752i | 0.231061 | − | 0.634835i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −2.10563 | − | 1.76683i | −0.107733 | − | 0.0903991i | ||||
\(383\) | 0.508365 | − | 2.88308i | 0.0259762 | − | 0.147319i | −0.969061 | − | 0.246821i | \(-0.920614\pi\) |
0.995037 | + | 0.0995025i | \(0.0317251\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 1.87477 | + | 15.3112i | 0.0955472 | + | 0.780329i | ||||
\(386\) | 0.173152 | − | 0.0999696i | 0.00881323 | − | 0.00508832i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −25.3059 | − | 14.6104i | −1.28471 | − | 0.741729i | ||||
\(389\) | 24.4465 | − | 4.31058i | 1.23949 | − | 0.218555i | 0.484791 | − | 0.874630i | \(-0.338896\pi\) |
0.754696 | + | 0.656075i | \(0.227784\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 0.479508 | + | 1.31744i | 0.0242497 | + | 0.0666256i | ||||
\(392\) | 2.63132 | − | 2.53764i | 0.132902 | − | 0.128170i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 0.568661 | + | 3.22504i | 0.0286487 | + | 0.162475i | ||||
\(395\) | 3.88578 | − | 6.73037i | 0.195515 | − | 0.338642i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 18.3498 | − | 10.5942i | 0.920948 | − | 0.531710i | 0.0370106 | − | 0.999315i | \(-0.488216\pi\) |
0.883937 | + | 0.467605i | \(0.154883\pi\) | |||||||
\(398\) | −0.0831244 | + | 0.0697497i | −0.00416665 | + | 0.00349624i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −2.18273 | + | 12.3789i | −0.109136 | + | 0.618943i | ||||
\(401\) | 0.873706 | − | 1.04124i | 0.0436308 | − | 0.0519972i | −0.743788 | − | 0.668416i | \(-0.766973\pi\) |
0.787419 | + | 0.616419i | \(0.211417\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 4.11612 | + | 1.49815i | 0.205039 | + | 0.0746279i | ||||
\(404\) | −24.1726 | −1.20263 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −1.33688 | − | 0.868815i | −0.0663481 | − | 0.0431186i | ||||
\(407\) | −0.516657 | + | 1.41950i | −0.0256097 | + | 0.0703622i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 17.0261 | − | 20.2910i | 0.841889 | − | 1.00332i | −0.157985 | − | 0.987441i | \(-0.550500\pi\) |
0.999874 | − | 0.0158823i | \(-0.00505571\pi\) | |||||||
\(410\) | 0.933081 | + | 0.164527i | 0.0460816 | + | 0.00812543i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −11.4612 | − | 13.6589i | −0.564651 | − | 0.672925i | ||||
\(413\) | −1.80012 | + | 34.1297i | −0.0885782 | + | 1.67941i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 2.86221 | − | 4.95749i | 0.140500 | − | 0.243354i | ||||
\(416\) | 1.09669 | + | 6.21964i | 0.0537696 | + | 0.304943i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −0.978588 | − | 2.68865i | −0.0478643 | − | 0.131506i | ||||
\(419\) | −16.0247 | + | 5.83250i | −0.782856 | + | 0.284936i | −0.702363 | − | 0.711819i | \(-0.747872\pi\) |
−0.0804931 | + | 0.996755i | \(0.525649\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −3.15843 | − | 17.9124i | −0.153933 | − | 0.872995i | −0.959755 | − | 0.280838i | \(-0.909388\pi\) |
0.805823 | − | 0.592157i | \(-0.201724\pi\) | |||||||
\(422\) | −0.673460 | − | 0.388822i | −0.0327835 | − | 0.0189276i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −2.40192 | − | 4.16025i | −0.116648 | − | 0.202040i | ||||
\(425\) | 9.17582 | − | 7.69943i | 0.445093 | − | 0.373477i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 3.45225 | + | 3.22143i | 0.167066 | + | 0.155896i | ||||
\(428\) | 23.2404 | − | 27.6968i | 1.12337 | − | 1.33878i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −0.134453 | + | 0.369406i | −0.00648389 | + | 0.0178143i | ||||
\(431\) | 3.52787i | 0.169932i | 0.996384 | + | 0.0849658i | \(0.0270781\pi\) | ||||
−0.996384 | + | 0.0849658i | \(0.972922\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 19.5602i | 0.940001i | 0.882666 | + | 0.470001i | \(0.155746\pi\) | ||||
−0.882666 | + | 0.470001i | \(0.844254\pi\) | |||||||
\(434\) | 0.225132 | + | 0.298969i | 0.0108067 | + | 0.0143510i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −15.3242 | − | 12.8586i | −0.733897 | − | 0.615813i | ||||
\(437\) | −0.326845 | + | 1.85363i | −0.0156351 | + | 0.0886712i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −5.11723 | − | 6.09848i | −0.244232 | − | 0.291064i | 0.629977 | − | 0.776613i | \(-0.283064\pi\) |
−0.874209 | + | 0.485549i | \(0.838620\pi\) | |||||||
\(440\) | −1.52238 | − | 2.63683i | −0.0725765 | − | 0.125706i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 0.988566 | − | 1.71225i | 0.0470213 | − | 0.0814433i | ||||
\(443\) | −27.4654 | + | 4.84288i | −1.30492 | + | 0.230092i | −0.782529 | − | 0.622614i | \(-0.786071\pi\) |
−0.522390 | + | 0.852707i | \(0.674959\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 14.0040 | − | 5.09703i | 0.663852 | − | 0.241622i | ||||
\(446\) | −1.79107 | + | 0.651896i | −0.0848095 | + | 0.0308681i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 7.85290 | − | 18.4831i | 0.371015 | − | 0.873242i | ||||
\(449\) | 15.1431 | + | 8.74287i | 0.714647 | + | 0.412602i | 0.812779 | − | 0.582572i | \(-0.197953\pi\) |
−0.0981322 | + | 0.995173i | \(0.531287\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −20.5596 | + | 11.8701i | −0.968116 | + | 0.558942i | ||||
\(452\) | −20.9372 | − | 24.9520i | −0.984803 | − | 1.17364i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 0.860863 | + | 0.151793i | 0.0404023 | + | 0.00712402i | ||||
\(455\) | −13.6866 | + | 4.17941i | −0.641639 | + | 0.195934i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −25.2787 | − | 9.20069i | −1.18249 | − | 0.430390i | −0.325407 | − | 0.945574i | \(-0.605501\pi\) |
−0.857080 | + | 0.515184i | \(0.827724\pi\) | |||||||
\(458\) | 2.33487 | 0.109101 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 0.997166i | 0.0464931i | ||||||||
\(461\) | 17.3925 | + | 6.33036i | 0.810050 | + | 0.294834i | 0.713645 | − | 0.700508i | \(-0.247043\pi\) |
0.0964058 | + | 0.995342i | \(0.469265\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −11.6402 | − | 9.76728i | −0.540966 | − | 0.453924i | 0.330902 | − | 0.943665i | \(-0.392647\pi\) |
−0.871868 | + | 0.489741i | \(0.837091\pi\) | |||||||
\(464\) | −17.6389 | − | 3.11021i | −0.818864 | − | 0.144388i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 1.61202 | − | 1.35265i | 0.0746755 | − | 0.0626602i | ||||
\(467\) | −12.8706 | − | 22.2926i | −0.595581 | − | 1.03158i | −0.993465 | − | 0.114140i | \(-0.963589\pi\) |
0.397884 | − | 0.917436i | \(-0.369745\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −13.5697 | + | 6.90840i | −0.626592 | + | 0.319000i | ||||
\(470\) | 2.19431 | − | 0.386916i | 0.101216 | − | 0.0178471i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −2.30728 | − | 6.33919i | −0.106201 | − | 0.291785i | ||||
\(473\) | −3.36889 | − | 9.25595i | −0.154902 | − | 0.425589i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 15.8369 | − | 2.79247i | 0.726647 | − | 0.128128i | ||||
\(476\) | −17.3617 | + | 8.83891i | −0.795772 | + | 0.405131i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −0.133817 | − | 0.231778i | −0.00612065 | − | 0.0106013i | ||||
\(479\) | −1.75513 | + | 1.47273i | −0.0801939 | + | 0.0672907i | −0.682003 | − | 0.731349i | \(-0.738891\pi\) |
0.601810 | + | 0.798640i | \(0.294447\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −1.38012 | − | 0.243353i | −0.0629282 | − | 0.0110959i | ||||
\(482\) | −1.04381 | − | 0.875858i | −0.0475441 | − | 0.0398942i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 15.1945 | + | 5.53033i | 0.690657 | + | 0.251379i | ||||
\(485\) | 19.6319i | 0.891436i | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 35.0917 | 1.59016 | 0.795078 | − | 0.606507i | \(-0.207430\pi\) | ||||
0.795078 | + | 0.606507i | \(0.207430\pi\) | |||||||
\(488\) | −0.875806 | − | 0.318767i | −0.0396459 | − | 0.0144299i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −1.17511 | − | 0.337810i | −0.0530861 | − | 0.0152607i | ||||
\(491\) | −22.3682 | − | 3.94412i | −1.00946 | − | 0.177996i | −0.355624 | − | 0.934629i | \(-0.615732\pi\) |
−0.653840 | + | 0.756633i | \(0.726843\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 10.9711 | + | 13.0748i | 0.494112 | + | 0.588860i | ||||
\(494\) | 2.29877 | − | 1.32719i | 0.103426 | − | 0.0597132i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 3.64102 | + | 2.10214i | 0.163487 | + | 0.0943890i | ||||
\(497\) | 6.47960 | + | 2.75299i | 0.290650 | + | 0.123488i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −18.3536 | + | 6.68017i | −0.821621 | + | 0.299046i | −0.718415 | − | 0.695615i | \(-0.755132\pi\) |
−0.103206 | + | 0.994660i | \(0.532910\pi\) | |||||||
\(500\) | 20.4161 | − | 7.43087i | 0.913038 | − | 0.332319i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −3.03046 | + | 0.534353i | −0.135256 | + | 0.0238493i | ||||
\(503\) | −6.03294 | + | 10.4494i | −0.268995 | + | 0.465914i | −0.968603 | − | 0.248614i | \(-0.920025\pi\) |
0.699607 | + | 0.714528i | \(0.253358\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 8.12014 | + | 14.0645i | 0.361342 | + | 0.625862i | ||||
\(506\) | 0.139257 | + | 0.165960i | 0.00619071 | + | 0.00737780i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 7.54814 | − | 42.8076i | 0.334895 | − | 1.89928i | ||||
\(509\) | 25.0698 | + | 21.0360i | 1.11120 | + | 0.932406i | 0.998127 | − | 0.0611805i | \(-0.0194865\pi\) |
0.113072 | + | 0.993587i | \(0.463931\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 11.3113 | − | 8.51774i | 0.500383 | − | 0.376803i | ||||
\(512\) | 10.1322i | 0.447786i | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 0.657525i | 0.0290022i | ||||||||
\(515\) | −4.09716 | + | 11.2569i | −0.180543 | + | 0.496037i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −35.8865 | + | 42.7678i | −1.57829 | + | 1.88093i | ||||
\(518\) | −0.0875434 | − | 0.0816904i | −0.00384644 | − | 0.00358927i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 2.16382 | − | 1.81566i | 0.0948900 | − | 0.0796221i | ||||
\(521\) | −0.373097 | − | 0.646223i | −0.0163457 | − | 0.0283115i | 0.857737 | − | 0.514089i | \(-0.171870\pi\) |
−0.874083 | + | 0.485777i | \(0.838537\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −0.0341810 | − | 0.0197344i | −0.00149463 | − | 0.000862925i | 0.499252 | − | 0.866457i | \(-0.333608\pi\) |
−0.500747 | + | 0.865594i | \(0.666941\pi\) | |||||||
\(524\) | −3.89806 | − | 22.1070i | −0.170287 | − | 0.965748i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −0.753000 | + | 0.274070i | −0.0328324 | + | 0.0119500i | ||||
\(527\) | −1.37027 | − | 3.76478i | −0.0596898 | − | 0.163996i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 3.96916 | + | 22.5102i | 0.172572 | + | 0.978705i | ||||
\(530\) | −0.803378 | + | 1.39149i | −0.0348965 | + | 0.0604426i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −26.1193 | − | 1.37763i | −1.13242 | − | 0.0597277i | ||||
\(533\) | −14.1569 | − | 16.8715i | −0.613204 | − | 0.730788i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −23.9220 | − | 4.21809i | −1.03424 | − | 0.182364i | ||||
\(536\) | 1.93195 | − | 2.30241i | 0.0834476 | − | 0.0994490i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −0.213373 | + | 0.586239i | −0.00919918 | + | 0.0252745i | ||||
\(539\) | 27.9961 | − | 12.4422i | 1.20588 | − | 0.535924i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −44.3075 | −1.90493 | −0.952465 | − | 0.304648i | \(-0.901461\pi\) | ||||
−0.952465 | + | 0.304648i | \(0.901461\pi\) | |||||||
\(542\) | 1.44908 | + | 0.527421i | 0.0622432 | + | 0.0226547i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 3.71307 | − | 4.42506i | 0.159196 | − | 0.189723i | ||||
\(545\) | −2.33381 | + | 13.2357i | −0.0999693 | + | 0.566954i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 1.85944 | − | 1.56025i | 0.0795038 | − | 0.0667116i | −0.602170 | − | 0.798368i | \(-0.705697\pi\) |
0.681673 | + | 0.731657i | \(0.261252\pi\) | |||||||
\(548\) | −19.6722 | + | 11.3578i | −0.840355 | + | 0.485179i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 0.925476 | − | 1.60297i | 0.0394624 | − | 0.0683509i | ||||
\(551\) | 3.97905 | + | 22.5663i | 0.169513 | + | 0.961358i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −15.0382 | − | 3.47716i | −0.639491 | − | 0.147864i | ||||
\(554\) | 0.199059 | + | 0.546911i | 0.00845722 | + | 0.0232360i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −29.1537 | + | 5.14058i | −1.23639 | + | 0.218009i | ||||
\(557\) | 0.292925 | + | 0.169120i | 0.0124116 | + | 0.00716586i | 0.506193 | − | 0.862420i | \(-0.331052\pi\) |
−0.493781 | + | 0.869586i | \(0.664386\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 7.91374 | − | 4.56900i | 0.334715 | − | 0.193248i | ||||
\(560\) | −13.6337 | + | 1.66938i | −0.576130 | + | 0.0705440i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −0.202773 | + | 1.14998i | −0.00855346 | + | 0.0485091i | ||||
\(563\) | −12.3087 | − | 10.3282i | −0.518748 | − | 0.435282i | 0.345447 | − | 0.938438i | \(-0.387727\pi\) |
−0.864195 | + | 0.503157i | \(0.832172\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −7.48467 | + | 20.5640i | −0.314883 | + | 0.865133i | ||||
\(566\) | −3.11783 | −0.131052 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −1.38962 | −0.0583072 | ||||||||
\(569\) | −8.08739 | + | 22.2199i | −0.339041 | + | 0.931507i | 0.646627 | + | 0.762807i | \(0.276179\pi\) |
−0.985667 | + | 0.168700i | \(0.946043\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −0.278581 | − | 0.233758i | −0.0116583 | − | 0.00978245i | 0.636940 | − | 0.770913i | \(-0.280200\pi\) |
−0.648598 | + | 0.761131i | \(0.724644\pi\) | |||||||
\(572\) | −6.11852 | + | 34.6999i | −0.255828 | + | 1.45087i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −0.228704 | − | 1.86782i | −0.00954594 | − | 0.0779613i | ||||
\(575\) | −1.05451 | + | 0.608820i | −0.0439760 | + | 0.0253896i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 7.66829 | + | 4.42729i | 0.319235 | + | 0.184310i | 0.651052 | − | 0.759034i | \(-0.274328\pi\) |
−0.331817 | + | 0.943344i | \(0.607661\pi\) | |||||||
\(578\) | 0.414294 | − | 0.0730512i | 0.0172324 | − | 0.00303853i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 4.15199 | + | 11.4075i | 0.172402 | + | 0.473671i | ||||
\(581\) | −11.0769 | − | 2.56122i | −0.459549 | − | 0.106257i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −6.99097 | − | 39.6478i | −0.289536 | − | 1.64204i | ||||
\(584\) | −1.39745 | + | 2.42046i | −0.0578270 | + | 0.100159i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 3.01538 | − | 1.74093i | 0.124564 | − | 0.0719171i | ||||
\(587\) | 22.0136 | − | 18.4716i | 0.908598 | − | 0.762405i | −0.0632534 | − | 0.997997i | \(-0.520148\pi\) |
0.971852 | + | 0.235593i | \(0.0757032\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 0.934012 | − | 5.29705i | 0.0384853 | − | 0.218261i | ||||
\(590\) | −1.45036 | + | 1.72848i | −0.0597105 | + | 0.0711602i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −1.26399 | − | 0.460053i | −0.0519495 | − | 0.0189081i | ||||
\(593\) | −7.83158 | −0.321605 | −0.160802 | − | 0.986987i | \(-0.551408\pi\) | ||||
−0.160802 | + | 0.986987i | \(0.551408\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 10.9750 | + | 7.13247i | 0.449931 | + | 0.292403i | ||||
\(596\) | −2.06661 | + | 5.67797i | −0.0846517 | + | 0.232579i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −0.129191 | + | 0.153964i | −0.00528300 | + | 0.00629604i | ||||
\(599\) | 25.0073 | + | 4.40946i | 1.02177 | + | 0.180166i | 0.659339 | − | 0.751845i | \(-0.270836\pi\) |
0.362430 | + | 0.932011i | \(0.381947\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −28.8206 | − | 34.3470i | −1.17562 | − | 1.40104i | −0.897796 | − | 0.440411i | \(-0.854833\pi\) |
−0.277819 | − | 0.960633i | \(-0.589612\pi\) | |||||||
\(602\) | 0.779674 | + | 0.0411228i | 0.0317771 | + | 0.00167604i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 0.607545 | − | 1.05230i | 0.0247207 | − | 0.0428174i | ||||
\(605\) | −1.88643 | − | 10.6985i | −0.0766941 | − | 0.434954i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 3.35939 | + | 9.22986i | 0.136354 | + | 0.374628i | 0.989011 | − | 0.147842i | \(-0.0472327\pi\) |
−0.852657 | + | 0.522470i | \(0.825010\pi\) | |||||||
\(608\) | 7.28751 | − | 2.65244i | 0.295548 | − | 0.107571i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0.0541320 | + | 0.306998i | 0.00219174 | + | 0.0124300i | ||||
\(611\) | −44.8549 | − | 25.8970i | −1.81464 | − | 1.04768i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −16.3106 | − | 28.2507i | −0.658778 | − | 1.14104i | −0.980932 | − | 0.194350i | \(-0.937740\pi\) |
0.322154 | − | 0.946687i | \(-0.395593\pi\) | |||||||
\(614\) | 3.20292 | − | 2.68757i | 0.129259 | − | 0.108461i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −4.12562 | + | 4.42122i | −0.166226 | + | 0.178136i | ||||
\(617\) | −0.764441 | + | 0.911025i | −0.0307752 | + | 0.0366765i | −0.781213 | − | 0.624265i | \(-0.785398\pi\) |
0.750437 | + | 0.660942i | \(0.229843\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −12.4466 | + | 34.1968i | −0.500271 | + | 1.37448i | 0.390740 | + | 0.920501i | \(0.372219\pi\) |
−0.891011 | + | 0.453982i | \(0.850003\pi\) | |||||||
\(620\) | − | 2.84956i | − | 0.114441i | ||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 0.791169i | 0.0317230i | ||||||||
\(623\) | −17.8047 | − | 23.6441i | −0.713329 | − | 0.947279i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 1.17217 | + | 0.983570i | 0.0468869 | + | 0.0393428i | ||||
\(626\) | 0.107223 | − | 0.608090i | 0.00428548 | − | 0.0243042i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 2.45096 | + | 2.92094i | 0.0978040 | + | 0.116558i | ||||
\(629\) | 0.640897 | + | 1.11007i | 0.0255542 | + | 0.0442612i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 17.0123 | − | 29.4661i | 0.677248 | − | 1.17303i | −0.298558 | − | 0.954391i | \(-0.596506\pi\) |
0.975806 | − | 0.218637i | \(-0.0701610\pi\) | |||||||
\(632\) | 3.00034 | − | 0.529041i | 0.119347 | − | 0.0210441i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 1.83556 | − | 0.668088i | 0.0728992 | − | 0.0265331i | ||||
\(635\) | −27.4426 | + | 9.98830i | −1.08903 | + | 0.396374i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 15.8776 | + | 23.5735i | 0.629092 | + | 0.934016i | ||||
\(638\) | 2.28411 | + | 1.31873i | 0.0904286 | + | 0.0522090i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 4.73715 | − | 2.73500i | 0.187252 | − | 0.108110i | ||||
\(641\) | −25.3403 | − | 30.1994i | −1.00088 | − | 1.19280i | −0.981199 | − | 0.192999i | \(-0.938179\pi\) |
−0.0196832 | − | 0.999806i | \(-0.506266\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −1.58947 | − | 0.280266i | −0.0626824 | − | 0.0110526i | 0.142219 | − | 0.989835i | \(-0.454576\pi\) |
−0.204901 | + | 0.978783i | \(0.565687\pi\) | |||||||
\(644\) | 1.89411 | − | 0.578396i | 0.0746386 | − | 0.0227920i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −2.28140 | − | 0.830362i | −0.0897605 | − | 0.0326702i | ||||
\(647\) | 20.9883 | 0.825137 | 0.412568 | − | 0.910927i | \(-0.364632\pi\) | ||||
0.412568 | + | 0.910927i | \(0.364632\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | − | 56.5362i | − | 2.21924i | ||||||
\(650\) | 1.61360 | + | 0.587304i | 0.0632908 | + | 0.0230360i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 21.8337 | + | 18.3206i | 0.855073 | + | 0.717492i | ||||
\(653\) | −7.06142 | − | 1.24512i | −0.276335 | − | 0.0487253i | 0.0337633 | − | 0.999430i | \(-0.489251\pi\) |
−0.310098 | + | 0.950705i | \(0.600362\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −11.5532 | + | 9.69428i | −0.451421 | + | 0.378787i | ||||
\(656\) | −10.5697 | − | 18.3072i | −0.412676 | − | 0.714776i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −2.00773 | − | 3.94366i | −0.0782695 | − | 0.153740i | ||||
\(659\) | 29.4274 | − | 5.18885i | 1.14633 | − | 0.202129i | 0.431957 | − | 0.901894i | \(-0.357823\pi\) |
0.714372 | + | 0.699766i | \(0.246712\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 8.06882 | + | 22.1689i | 0.313841 | + | 0.862270i | 0.991872 | + | 0.127238i | \(0.0406110\pi\) |
−0.678032 | + | 0.735033i | \(0.737167\pi\) | |||||||
\(662\) | −0.481801 | − | 1.32374i | −0.0187257 | − | 0.0514485i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 2.21001 | − | 0.389684i | 0.0857649 | − | 0.0151227i | ||||
\(665\) | 7.97254 | + | 15.6600i | 0.309162 | + | 0.607267i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −0.867520 | − | 1.50259i | −0.0335905 | − | 0.0581805i | ||||
\(668\) | −23.8505 | + | 20.0129i | −0.922803 | + | 0.774324i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −0.990015 | − | 0.174566i | −0.0382476 | − | 0.00674409i | ||||
\(671\) | −5.98349 | − | 5.02075i | −0.230990 | − | 0.193824i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 14.5070 | + | 5.28011i | 0.559203 | + | 0.203533i | 0.606131 | − | 0.795365i | \(-0.292721\pi\) |
−0.0469277 | + | 0.998898i | \(0.514943\pi\) | |||||||
\(674\) | 1.25560i | 0.0483637i | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −6.91181 | −0.265839 | ||||||||
\(677\) | 35.5524 | + | 12.9400i | 1.36639 | + | 0.497325i | 0.918024 | − | 0.396525i | \(-0.129784\pi\) |
0.448366 | + | 0.893850i | \(0.352006\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 37.2907 | − | 11.3873i | 1.43109 | − | 0.437003i | ||||
\(680\) | −2.54432 | − | 0.448632i | −0.0975701 | − | 0.0172042i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −0.397948 | − | 0.474256i | −0.0152382 | − | 0.0181602i | ||||
\(683\) | 13.2112 | − | 7.62750i | 0.505513 | − | 0.291858i | −0.225474 | − | 0.974249i | \(-0.572393\pi\) |
0.730987 | + | 0.682391i | \(0.239060\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 13.2167 | + | 7.63067i | 0.504985 | + | 0.291553i | ||||
\(686\) | 0.0399422 | + | 2.42807i | 0.00152500 | + | 0.0927040i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 8.24189 | − | 2.99980i | 0.314219 | − | 0.114366i | ||||
\(689\) | 35.0969 | − | 12.7742i | 1.33709 | − | 0.486660i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −32.7662 | + | 5.77757i | −1.24649 | + | 0.219789i | −0.757693 | − | 0.652611i | \(-0.773674\pi\) |
−0.488792 | + | 0.872400i | \(0.662562\pi\) | |||||||
\(692\) | 4.33570 | − | 7.50964i | 0.164818 | − | 0.285474i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 1.46877 | + | 2.54399i | 0.0557539 | + | 0.0965686i | ||||
\(695\) | 12.7844 | + | 15.2358i | 0.484939 | + | 0.577928i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −3.49803 | + | 19.8383i | −0.132497 | + | 0.751429i | ||||
\(698\) | −1.46478 | − | 1.22909i | −0.0554426 | − | 0.0465219i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −10.1785 | − | 13.5167i | −0.384710 | − | 0.510883i | ||||
\(701\) | 1.67746i | 0.0633567i | 0.999498 | + | 0.0316783i | \(0.0100852\pi\) | ||||
−0.999498 | + | 0.0316783i | \(0.989915\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 1.72086i | 0.0649036i | ||||||||
\(704\) | −11.3619 | + | 31.2166i | −0.428219 | + | 1.17652i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −0.676227 | + | 0.805896i | −0.0254501 | + | 0.0303303i | ||||
\(707\) | 22.0055 | − | 23.5822i | 0.827602 | − | 0.886899i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −21.9319 | + | 18.4031i | −0.823671 | + | 0.691142i | −0.953829 | − | 0.300351i | \(-0.902896\pi\) |
0.130158 | + | 0.991493i | \(0.458452\pi\) | |||||||
\(710\) | 0.232395 | + | 0.402521i | 0.00872165 | + | 0.0151063i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 5.05949 | + | 2.92110i | 0.189613 | + | 0.109473i | ||||
\(713\) | 0.0707217 | + | 0.401083i | 0.00264855 | + | 0.0150207i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 22.2450 | − | 8.09652i | 0.831916 | − | 0.302793i | ||||
\(716\) | 9.48932 | + | 26.0717i | 0.354633 | + | 0.974345i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −0.0332810 | − | 0.188746i | −0.00124204 | − | 0.00704395i | ||||
\(719\) | 6.37063 | − | 11.0343i | 0.237584 | − | 0.411508i | −0.722436 | − | 0.691438i | \(-0.756978\pi\) |
0.960021 | + | 0.279929i | \(0.0903110\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 23.7589 | + | 1.25313i | 0.884829 | + | 0.0466690i | ||||
\(722\) | −0.493757 | − | 0.588437i | −0.0183757 | − | 0.0218994i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 42.3750 | + | 7.47186i | 1.57486 | + | 0.277690i | ||||
\(725\) | −9.52849 | + | 11.3556i | −0.353879 | + | 0.421737i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 15.1297 | − | 41.5685i | 0.561129 | − | 1.54169i | −0.256856 | − | 0.966450i | \(-0.582687\pi\) |
0.817985 | − | 0.575240i | \(-0.195091\pi\) | |||||||
\(728\) | −4.70396 | − | 3.05702i | −0.174340 | − | 0.113301i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 0.934821 | 0.0345993 | ||||||||
\(731\) | −7.85396 | − | 2.85861i | −0.290489 | − | 0.105729i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 13.1054 | − | 15.6184i | 0.484060 | − | 0.576880i | −0.467637 | − | 0.883921i | \(-0.654894\pi\) |
0.951696 | + | 0.307041i | \(0.0993388\pi\) | |||||||
\(734\) | 0.596221 | − | 3.38134i | 0.0220069 | − | 0.124807i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −0.449829 | + | 0.377452i | −0.0165809 | + | 0.0139130i | ||||
\(737\) | 21.8141 | − | 12.5944i | 0.803534 | − | 0.463921i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −20.0545 | + | 34.7355i | −0.737718 | + | 1.27777i | 0.215802 | + | 0.976437i | \(0.430763\pi\) |
−0.953520 | + | 0.301328i | \(0.902570\pi\) | |||||||
\(740\) | 0.158311 | + | 0.897828i | 0.00581964 | + | 0.0330048i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 3.10913 | + | 0.718896i | 0.114140 | + | 0.0263915i | ||||
\(743\) | 3.63149 | + | 9.97743i | 0.133226 | + | 0.366037i | 0.988311 | − | 0.152452i | \(-0.0487170\pi\) |
−0.855084 | + | 0.518489i | \(0.826495\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 3.99787 | − | 0.704933i | 0.146471 | − | 0.0258267i | ||||
\(746\) | 1.40980 | + | 0.813947i | 0.0516164 | + | 0.0298007i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 27.9099 | − | 16.1138i | 1.02049 | − | 0.589179i | ||||
\(749\) | 5.86344 | + | 47.8865i | 0.214246 | + | 1.74973i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 7.18177 | − | 40.7298i | 0.262066 | − | 1.48625i | −0.515194 | − | 0.857074i | \(-0.672280\pi\) |
0.777260 | − | 0.629179i | \(-0.216609\pi\) | |||||||
\(752\) | −38.0823 | − | 31.9549i | −1.38872 | − | 1.16527i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −0.836861 | + | 2.29926i | −0.0304767 | + | 0.0837340i | ||||
\(755\) | −0.816354 | −0.0297102 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −23.7006 | −0.861412 | −0.430706 | − | 0.902492i | \(-0.641735\pi\) | ||||
−0.430706 | + | 0.902492i | \(0.641735\pi\) | |||||||
\(758\) | 0.337798 | − | 0.928092i | 0.0122694 | − | 0.0337098i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −2.65706 | − | 2.22954i | −0.0963818 | − | 0.0808740i | ||||
\(761\) | 2.04815 | − | 11.6156i | 0.0742454 | − | 0.421066i | −0.924918 | − | 0.380167i | \(-0.875867\pi\) |
0.999163 | − | 0.0408995i | \(-0.0130223\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 26.4949 | − | 3.24415i | 0.959178 | − | 0.117446i | ||||
\(764\) | 35.9971 | − | 20.7829i | 1.30233 | − | 0.751899i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −0.332436 | − | 0.191932i | −0.0120114 | − | 0.00693479i | ||||
\(767\) | 51.6528 | − | 9.10778i | 1.86507 | − | 0.328863i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 8.33433 | + | 22.8984i | 0.300544 | + | 0.825737i | 0.994406 | + | 0.105629i | \(0.0336855\pi\) |
−0.693862 | + | 0.720108i | \(0.744092\pi\) | |||||||
\(770\) | 1.97062 | + | 0.455648i | 0.0710161 | + | 0.0164204i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 0.525021 | + | 2.97754i | 0.0188959 | + | 0.107164i | ||||
\(773\) | −1.44939 | + | 2.51041i | −0.0521309 | + | 0.0902933i | −0.890913 | − | 0.454173i | \(-0.849935\pi\) |
0.838782 | + | 0.544467i | \(0.183268\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 3.01342 | − | 1.73980i | 0.108245 | − | 0.0624955i | ||||
\(776\) | −5.89557 | + | 4.94697i | −0.211639 | + | 0.177586i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 0.565207 | − | 3.20545i | 0.0202637 | − | 0.114921i | ||||
\(779\) | −17.3840 | + | 20.7174i | −0.622845 | + | 0.742277i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −10.9436 | − | 3.98315i | −0.391593 | − | 0.142528i | ||||
\(782\) | 0.183830 | 0.00657374 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 11.0791 | + | 24.9289i | 0.395681 | + | 0.890319i | ||||
\(785\) | 0.876175 | − | 2.40727i | 0.0312720 | − | 0.0859192i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −5.60311 | + | 6.67753i | −0.199729 | + | 0.238028i | −0.856608 | − | 0.515969i | \(-0.827432\pi\) |
0.656878 | + | 0.753997i | \(0.271877\pi\) | |||||||
\(788\) | −48.7689 | − | 8.59928i | −1.73732 | − | 0.306337i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −0.655010 | − | 0.780611i | −0.0233042 | − | 0.0277729i | ||||
\(791\) | 43.4027 | + | 2.28921i | 1.54322 | + | 0.0813950i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 3.62315 | − | 6.27549i | 0.128662 | − | 0.222849i | ||||
\(794\) | −0.482439 | − | 2.73605i | −0.0171211 | − | 0.0970986i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −0.561222 | − | 1.54195i | −0.0198920 | − | 0.0546528i | ||||
\(797\) | 11.0381 | − | 4.01755i | 0.390990 | − | 0.142309i | −0.139042 | − | 0.990287i | \(-0.544402\pi\) |
0.530032 | + | 0.847978i | \(0.322180\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 8.22624 | + | 46.6533i | 0.291023 | + | 1.65048i | ||||
\(800\) | 4.34482 | + | 2.50848i | 0.153612 | + | 0.0886882i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −0.0891128 | − | 0.154348i | −0.00314668 | − | 0.00545021i | ||||
\(803\) | −17.9432 | + | 15.0561i | −0.633201 | + | 0.531319i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −0.972809 | − | 0.907768i | −0.0342870 | − | 0.0319946i | ||||
\(806\) | 0.369183 | − | 0.439975i | 0.0130039 | − | 0.0154975i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −2.17749 | + | 5.98260i | −0.0766038 | + | 0.210467i | ||||
\(809\) | 13.3913i | 0.470814i | 0.971897 | + | 0.235407i | \(0.0756423\pi\) | ||||
−0.971897 | + | 0.235407i | \(0.924358\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | − | 14.2545i | − | 0.500543i | −0.968176 | − | 0.250272i | \(-0.919480\pi\) | ||
0.968176 | − | 0.250272i | \(-0.0805200\pi\) | |||||||
\(812\) | 19.2602 | − | 14.5035i | 0.675901 | − | 0.508973i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 0.151732 | + | 0.127318i | 0.00531820 | + | 0.00446250i | ||||
\(815\) | 3.32517 | − | 18.8580i | 0.116476 | − | 0.660566i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −7.21271 | − | 8.59577i | −0.252341 | − | 0.300728i | ||||
\(818\) | −1.73656 | − | 3.00782i | −0.0607176 | − | 0.105166i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −7.16385 | + | 12.4081i | −0.250172 | + | 0.433311i | ||||
\(821\) | −53.2811 | + | 9.39490i | −1.85952 | + | 0.327884i | −0.987004 | − | 0.160695i | \(-0.948626\pi\) |
−0.872520 | + | 0.488579i | \(0.837515\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −24.0026 | + | 8.73623i | −0.836678 | + | 0.304526i | −0.724597 | − | 0.689173i | \(-0.757974\pi\) |
−0.112081 | + | 0.993699i | \(0.535752\pi\) | |||||||
\(824\) | −4.41294 | + | 1.60618i | −0.153732 | + | 0.0559539i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 4.12451 | + | 1.75238i | 0.143510 | + | 0.0609731i | ||||
\(827\) | −35.7068 | − | 20.6154i | −1.24165 | − | 0.716866i | −0.272219 | − | 0.962235i | \(-0.587757\pi\) |
−0.969430 | + | 0.245369i | \(0.921091\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −19.7340 | + | 11.3934i | −0.685389 | + | 0.395710i | −0.801883 | − | 0.597482i | \(-0.796168\pi\) |
0.116493 | + | 0.993191i | \(0.462835\pi\) | |||||||
\(830\) | −0.482471 | − | 0.574986i | −0.0167468 | − | 0.0199581i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −30.3506 | − | 5.35164i | −1.05222 | − | 0.185535i | ||||
\(833\) | 7.18219 | − | 24.9841i | 0.248848 | − | 0.865648i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 19.6562 | + | 7.15427i | 0.680231 | + | 0.247584i | ||||
\(836\) | 43.2670 | 1.49642 | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 2.23602i | 0.0772420i | ||||||||
\(839\) | −17.3731 | − | 6.32330i | −0.599786 | − | 0.218304i | 0.0242419 | − | 0.999706i | \(-0.492283\pi\) |
−0.624028 | + | 0.781402i | \(0.714505\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 6.03445 | + | 5.06350i | 0.208084 | + | 0.174604i | ||||
\(842\) | −2.34869 | − | 0.414137i | −0.0809411 | − | 0.0142721i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 9.00832 | − | 7.55887i | 0.310079 | − | 0.260187i | ||||
\(845\) | 2.32184 | + | 4.02154i | 0.0798736 | + | 0.138345i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −19.2275 | + | 9.78879i | −0.660665 | + | 0.336347i | ||||
\(848\) | 35.3041 | − | 6.22506i | 1.21235 | − | 0.213769i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −0.537174 | − | 1.47587i | −0.0184249 | − | 0.0506220i | ||||
\(851\) | −0.0445655 | − | 0.122443i | −0.00152768 | − | 0.00419728i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −52.2825 | + | 9.21881i | −1.79012 | + | 0.315646i | −0.967485 | − | 0.252927i | \(-0.918607\pi\) |
−0.822633 | + | 0.568573i | \(0.807496\pi\) | |||||||
\(854\) | 0.551743 | − | 0.280894i | 0.0188803 | − | 0.00961201i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −4.76131 | − | 8.24683i | −0.162738 | − | 0.281871i | ||||
\(857\) | −5.81262 | + | 4.87737i | −0.198555 | + | 0.166608i | −0.736644 | − | 0.676280i | \(-0.763591\pi\) |
0.538089 | + | 0.842888i | \(0.319146\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 53.9268 | + | 9.50876i | 1.83996 | + | 0.324435i | 0.981942 | − | 0.189184i | \(-0.0605843\pi\) |
0.858018 | + | 0.513619i | \(0.171695\pi\) | |||||||
\(860\) | −4.55387 | − | 3.82115i | −0.155286 | − | 0.130300i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 0.434681 | + | 0.158211i | 0.0148053 | + | 0.00538869i | ||||
\(863\) | 17.9590i | 0.611331i | 0.952139 | + | 0.305666i | \(0.0988789\pi\) | ||||
−0.952139 | + | 0.305666i | \(0.901121\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −5.82585 | −0.198085 | ||||||||
\(866\) | 2.41007 | + | 0.877195i | 0.0818976 | + | 0.0298083i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −5.41273 | + | 1.65286i | −0.183720 | + | 0.0561016i | ||||
\(869\) | 25.1449 | + | 4.43372i | 0.852981 | + | 0.150404i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 15.0207 | + | 17.9010i | 0.508958 | + | 0.606552i | ||||
\(872\) | −4.56285 | + | 2.63436i | −0.154518 | + | 0.0892108i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 0.213735 | + | 0.123400i | 0.00722968 | + | 0.00417406i | ||||
\(875\) | −11.3364 | + | 26.6822i | −0.383242 | + | 0.902021i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 4.40950 | − | 1.60493i | 0.148898 | − | 0.0541946i | −0.266496 | − | 0.963836i | \(-0.585866\pi\) |
0.415394 | + | 0.909642i | \(0.363644\pi\) | |||||||
\(878\) | −0.980901 | + | 0.357019i | −0.0331038 | + | 0.0120488i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 22.3763 | − | 3.94554i | 0.754305 | − | 0.133004i | ||||
\(881\) | −2.44317 | + | 4.23170i | −0.0823125 | + | 0.142569i | −0.904243 | − | 0.427019i | \(-0.859564\pi\) |
0.821930 | + | 0.569588i | \(0.192897\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 11.8954 | + | 20.6034i | 0.400312 | + | 0.693361i | 0.993763 | − | 0.111509i | \(-0.0355684\pi\) |
−0.593451 | + | 0.804870i | \(0.702235\pi\) | |||||||
\(884\) | 19.2182 | + | 22.9033i | 0.646376 | + | 0.770321i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −0.635004 | + | 3.60128i | −0.0213334 | + | 0.120988i | ||||
\(887\) | −17.0442 | − | 14.3018i | −0.572290 | − | 0.480208i | 0.310115 | − | 0.950699i | \(-0.399632\pi\) |
−0.882405 | + | 0.470491i | \(0.844077\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 34.8906 | + | 46.3336i | 1.17019 | + | 1.55398i | ||||
\(890\) | − | 1.95406i | − | 0.0655002i | ||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | − | 28.8227i | − | 0.965056i | ||||||
\(893\) | −21.7526 | + | 59.7648i | −0.727923 | + | 1.99995i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 11.9818 | − | 14.2793i | 0.400506 | − | 0.477305i | ||||
\(896\) | −7.94286 | − | 7.41181i | −0.265352 | − | 0.247611i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 1.75635 | − | 1.47375i | 0.0586100 | − | 0.0491797i | ||||
\(899\) | 2.47908 | + | 4.29389i | 0.0826818 | + | 0.143209i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −29.5846 | − | 17.0807i | −0.985606 | − | 0.569040i | ||||
\(902\) | 0.540539 | + | 3.06555i | 0.0179980 | + | 0.102072i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −8.06153 | + | 2.93416i | −0.268123 | + | 0.0975887i | ||||
\(905\) | −9.88737 | − | 27.1653i | −0.328667 | − | 0.903006i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −3.61323 | − | 20.4917i | −0.119975 | − | 0.680414i | −0.984166 | − | 0.177249i | \(-0.943280\pi\) |
0.864191 | − | 0.503165i | \(-0.167831\pi\) | |||||||
\(908\) | −6.60939 | + | 11.4478i | −0.219340 | + | 0.379908i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −0.0988312 | + | 1.87381i | −0.00327622 | + | 0.0621160i | ||||
\(911\) | 9.26438 | + | 11.0409i | 0.306942 | + | 0.365800i | 0.897361 | − | 0.441298i | \(-0.145482\pi\) |
−0.590418 | + | 0.807097i | \(0.701037\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 18.5213 | + | 3.26581i | 0.612966 | + | 0.108082i | ||||
\(914\) | −2.26730 | + | 2.70206i | −0.0749955 | + | 0.0893761i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −12.0760 | + | 33.1785i | −0.399002 | + | 1.09625i | ||||
\(917\) | 25.1156 | + | 16.3222i | 0.829390 | + | 0.539007i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −23.8940 | −0.788192 | −0.394096 | − | 0.919069i | \(-0.628942\pi\) | ||||
−0.394096 | + | 0.919069i | \(0.628942\pi\) | |||||||
\(920\) | 0.246794 | + | 0.0898255i | 0.00813655 | + | 0.00296146i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 1.55997 | − | 1.85910i | 0.0513749 | − | 0.0612262i | ||||
\(923\) | 1.87612 | − | 10.6400i | 0.0617533 | − | 0.350220i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −0.852801 | + | 0.715585i | −0.0280399 | + | 0.0235283i | ||||
\(926\) | −1.72548 | + | 0.996204i | −0.0567027 | + | 0.0327373i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −3.57438 | + | 6.19101i | −0.117335 | + | 0.203230i | ||||
\(929\) | −8.22973 | − | 46.6731i | −0.270009 | − | 1.53129i | −0.754383 | − | 0.656434i | \(-0.772064\pi\) |
0.484375 | − | 0.874861i | \(-0.339047\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 25.1217 | − | 24.2272i | 0.823330 | − | 0.794016i | ||||
\(932\) | 10.8837 | + | 29.9028i | 0.356508 | + | 0.979497i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −3.32394 | + | 0.586100i | −0.108763 | + | 0.0191778i | ||||
\(935\) | −18.7512 | − | 10.8260i | −0.613230 | − | 0.354048i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 3.48018 | − | 2.00928i | 0.113693 | − | 0.0656404i | −0.442075 | − | 0.896978i | \(-0.645758\pi\) |
0.555768 | + | 0.831337i | \(0.312424\pi\) | |||||||
\(938\) | 0.242659 | + | 1.98179i | 0.00792311 | + | 0.0647077i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −5.85093 | + | 33.1823i | −0.190836 | + | 1.08229i | ||||
\(941\) | 17.4001 | + | 14.6004i | 0.567227 | + | 0.475960i | 0.880725 | − | 0.473629i | \(-0.157056\pi\) |
−0.313497 | + | 0.949589i | \(0.601501\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 0.700379 | − | 1.92427i | 0.0228075 | − | 0.0626630i | ||||
\(944\) | 50.3422 | 1.63850 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −1.29154 | −0.0419915 | ||||||||
\(947\) | 16.2795 | − | 44.7277i | 0.529014 | − | 1.45345i | −0.331220 | − | 0.943554i | \(-0.607460\pi\) |
0.860234 | − | 0.509900i | \(-0.170318\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −16.6462 | − | 13.9678i | −0.540359 | − | 0.453415i | ||||
\(950\) | 0.366152 | − | 2.07655i | 0.0118795 | − | 0.0673722i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 0.623629 | + | 5.09315i | 0.0202119 | + | 0.165070i | ||||
\(953\) | 33.3461 | − | 19.2524i | 1.08019 | − | 0.623646i | 0.149240 | − | 0.988801i | \(-0.452317\pi\) |
0.930947 | + | 0.365155i | \(0.118984\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −24.1845 | − | 13.9629i | −0.782592 | − | 0.451830i | ||||
\(956\) | 3.98567 | − | 0.702781i | 0.128906 | − | 0.0227296i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 0.102749 | + | 0.282301i | 0.00331968 | + | 0.00912074i | ||||
\(959\) | 6.82824 | − | 29.5312i | 0.220495 | − | 0.953613i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 5.18100 | + | 29.3829i | 0.167129 | + | 0.947835i | ||||
\(962\) | −0.0918774 | + | 0.159136i | −0.00296225 | + | 0.00513076i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 17.8445 | − | 10.3025i | 0.574734 | − | 0.331823i | ||||
\(965\) | 1.55608 | − | 1.30570i | 0.0500918 | − | 0.0420320i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 0.214600 | − | 1.21706i | 0.00690107 | − | 0.0391379i | −0.981163 | − | 0.193183i | \(-0.938119\pi\) |
0.988064 | + | 0.154045i | \(0.0492301\pi\) | |||||||
\(968\) | 2.73746 | − | 3.26238i | 0.0879853 | − | 0.104857i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 2.41891 | + | 0.880410i | 0.0776664 | + | 0.0282683i | ||||
\(971\) | 55.5761 | 1.78352 | 0.891761 | − | 0.452507i | \(-0.149470\pi\) | ||||
0.891761 | + | 0.452507i | \(0.149470\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 21.5250 | − | 33.1213i | 0.690059 | − | 1.06182i | ||||
\(974\) | 1.57372 | − | 4.32376i | 0.0504253 | − | 0.138542i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 4.47069 | − | 5.32796i | 0.143103 | − | 0.170544i | ||||
\(977\) | 13.4072 | + | 2.36405i | 0.428933 | + | 0.0756325i | 0.383947 | − | 0.923355i | \(-0.374564\pi\) |
0.0449862 | + | 0.998988i | \(0.485676\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 31.4719 | + | 37.5067i | 1.00585 | + | 1.19872i | ||||
\(980\) | 10.8780 | − | 14.9512i | 0.347484 | − | 0.477598i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −1.48909 | + | 2.57919i | −0.0475189 | + | 0.0823052i | ||||
\(983\) | 1.53261 | + | 8.69187i | 0.0488827 | + | 0.277228i | 0.999445 | − | 0.0333057i | \(-0.0106035\pi\) |
−0.950563 | + | 0.310533i | \(0.899492\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 11.3792 | + | 31.2642i | 0.362573 | + | 0.996161i | ||||
\(986\) | 2.10300 | − | 0.765429i | 0.0669732 | − | 0.0243762i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 6.97016 | + | 39.5297i | 0.221750 | + | 1.25761i | ||||
\(989\) | 0.735803 | + | 0.424816i | 0.0233972 | + | 0.0135084i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 7.38836 | + | 12.7970i | 0.234699 | + | 0.406511i | 0.959185 | − | 0.282779i | \(-0.0912562\pi\) |
−0.724486 | + | 0.689289i | \(0.757923\pi\) | |||||||
\(992\) | 1.28546 | − | 1.07863i | 0.0408133 | − | 0.0342465i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 0.629789 | − | 0.674913i | 0.0199757 | − | 0.0214069i | ||||
\(995\) | −0.708632 | + | 0.844515i | −0.0224651 | + | 0.0267729i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 0.491617 | − | 1.35071i | 0.0155697 | − | 0.0427773i | −0.931664 | − | 0.363320i | \(-0.881643\pi\) |
0.947234 | + | 0.320543i | \(0.103865\pi\) | |||||||
\(998\) | 2.56099i | 0.0810667i | ||||||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 567.2.be.a.503.12 | 132 | ||
3.2 | odd | 2 | 189.2.be.a.104.11 | yes | 132 | ||
7.6 | odd | 2 | inner | 567.2.be.a.503.11 | 132 | ||
21.20 | even | 2 | 189.2.be.a.104.12 | yes | 132 | ||
27.7 | even | 9 | 189.2.be.a.20.12 | yes | 132 | ||
27.20 | odd | 18 | inner | 567.2.be.a.62.11 | 132 | ||
189.20 | even | 18 | inner | 567.2.be.a.62.12 | 132 | ||
189.34 | odd | 18 | 189.2.be.a.20.11 | ✓ | 132 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
189.2.be.a.20.11 | ✓ | 132 | 189.34 | odd | 18 | ||
189.2.be.a.20.12 | yes | 132 | 27.7 | even | 9 | ||
189.2.be.a.104.11 | yes | 132 | 3.2 | odd | 2 | ||
189.2.be.a.104.12 | yes | 132 | 21.20 | even | 2 | ||
567.2.be.a.62.11 | 132 | 27.20 | odd | 18 | inner | ||
567.2.be.a.62.12 | 132 | 189.20 | even | 18 | inner | ||
567.2.be.a.503.11 | 132 | 7.6 | odd | 2 | inner | ||
567.2.be.a.503.12 | 132 | 1.1 | even | 1 | trivial |