Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [690,2,Mod(89,690)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(690, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 11, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("690.89");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 690.n (of order \(22\), degree \(10\), 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: | \(5.50967773947\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(24\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 659.8 | ||
Character | \(\chi\) | \(=\) | 690.659 |
Dual form | 690.2.n.a.89.8 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).
\(n\) | \(277\) | \(461\) | \(511\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{17}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.142315 | + | 0.989821i | −0.100632 | + | 0.699909i | ||||
\(3\) | −0.943600 | − | 1.45245i | −0.544788 | − | 0.838574i | ||||
\(4\) | −0.959493 | − | 0.281733i | −0.479746 | − | 0.140866i | ||||
\(5\) | −0.0269160 | − | 2.23591i | −0.0120372 | − | 0.999928i | ||||
\(6\) | 1.57196 | − | 0.727290i | 0.641749 | − | 0.296915i | ||||
\(7\) | −2.74772 | − | 1.76585i | −1.03854 | − | 0.667429i | −0.0939141 | − | 0.995580i | \(-0.529938\pi\) |
−0.944625 | + | 0.328152i | \(0.893574\pi\) | |||||||
\(8\) | 0.415415 | − | 0.909632i | 0.146871 | − | 0.321603i | ||||
\(9\) | −1.21924 | + | 2.74107i | −0.406413 | + | 0.913689i | ||||
\(10\) | 2.21698 | + | 0.291561i | 0.701070 | + | 0.0921996i | ||||
\(11\) | −0.103499 | − | 0.719848i | −0.0312060 | − | 0.217042i | 0.968251 | − | 0.249978i | \(-0.0804234\pi\) |
−0.999457 | + | 0.0329357i | \(0.989514\pi\) | |||||||
\(12\) | 0.496174 | + | 1.65946i | 0.143233 | + | 0.479045i | ||||
\(13\) | −0.797957 | − | 1.24165i | −0.221313 | − | 0.344370i | 0.712787 | − | 0.701380i | \(-0.247433\pi\) |
−0.934101 | + | 0.357010i | \(0.883796\pi\) | |||||||
\(14\) | 2.13892 | − | 2.46844i | 0.571650 | − | 0.659719i | ||||
\(15\) | −3.22215 | + | 2.14889i | −0.831956 | + | 0.554842i | ||||
\(16\) | 0.841254 | + | 0.540641i | 0.210313 | + | 0.135160i | ||||
\(17\) | 0.487896 | + | 1.66162i | 0.118332 | + | 0.403002i | 0.997262 | − | 0.0739488i | \(-0.0235601\pi\) |
−0.878930 | + | 0.476951i | \(0.841742\pi\) | |||||||
\(18\) | −2.53965 | − | 1.59692i | −0.598602 | − | 0.376399i | ||||
\(19\) | −1.66137 | + | 5.65810i | −0.381144 | + | 1.29806i | 0.516103 | + | 0.856527i | \(0.327382\pi\) |
−0.897247 | + | 0.441530i | \(0.854436\pi\) | |||||||
\(20\) | −0.604102 | + | 2.15292i | −0.135081 | + | 0.481407i | ||||
\(21\) | 0.0279304 | + | 5.65718i | 0.00609491 | + | 1.23450i | ||||
\(22\) | 0.727250 | 0.155050 | ||||||||
\(23\) | 1.82495 | − | 4.43504i | 0.380529 | − | 0.924769i | ||||
\(24\) | −1.71318 | + | 0.254958i | −0.349702 | + | 0.0520430i | ||||
\(25\) | −4.99855 | + | 0.120363i | −0.999710 | + | 0.0240726i | ||||
\(26\) | 1.34257 | − | 0.613130i | 0.263299 | − | 0.120245i | ||||
\(27\) | 5.13175 | − | 0.815584i | 0.987605 | − | 0.156959i | ||||
\(28\) | 2.13892 | + | 2.46844i | 0.404217 | + | 0.466492i | ||||
\(29\) | 1.91557 | + | 6.52384i | 0.355713 | + | 1.21145i | 0.921984 | + | 0.387228i | \(0.126567\pi\) |
−0.566271 | + | 0.824219i | \(0.691615\pi\) | |||||||
\(30\) | −1.66846 | − | 3.49517i | −0.304618 | − | 0.638128i | ||||
\(31\) | −1.61915 | + | 3.54544i | −0.290808 | + | 0.636780i | −0.997494 | − | 0.0707465i | \(-0.977462\pi\) |
0.706687 | + | 0.707527i | \(0.250189\pi\) | |||||||
\(32\) | −0.654861 | + | 0.755750i | −0.115764 | + | 0.133599i | ||||
\(33\) | −0.947884 | + | 0.829575i | −0.165005 | + | 0.144411i | ||||
\(34\) | −1.71414 | + | 0.246456i | −0.293973 | + | 0.0422669i | ||||
\(35\) | −3.87432 | + | 6.19116i | −0.654879 | + | 1.04650i | ||||
\(36\) | 1.94210 | − | 2.28654i | 0.323683 | − | 0.381089i | ||||
\(37\) | −7.28503 | + | 8.40738i | −1.19765 | + | 1.38216i | −0.292945 | + | 0.956129i | \(0.594635\pi\) |
−0.904707 | + | 0.426035i | \(0.859910\pi\) | |||||||
\(38\) | −5.36407 | − | 2.44969i | −0.870167 | − | 0.397392i | ||||
\(39\) | −1.05048 | + | 2.33061i | −0.168211 | + | 0.373197i | ||||
\(40\) | −2.04503 | − | 0.904345i | −0.323348 | − | 0.142990i | ||||
\(41\) | 0.240142 | − | 0.208084i | 0.0375038 | − | 0.0324973i | −0.635907 | − | 0.771766i | \(-0.719374\pi\) |
0.673411 | + | 0.739268i | \(0.264828\pi\) | |||||||
\(42\) | −5.60358 | − | 0.777455i | −0.864651 | − | 0.119964i | ||||
\(43\) | −3.85328 | − | 8.43752i | −0.587620 | − | 1.28671i | −0.936870 | − | 0.349679i | \(-0.886291\pi\) |
0.349249 | − | 0.937030i | \(-0.386437\pi\) | |||||||
\(44\) | −0.103499 | + | 0.719848i | −0.0156030 | + | 0.108521i | ||||
\(45\) | 6.16159 | + | 2.65233i | 0.918515 | + | 0.395385i | ||||
\(46\) | 4.13018 | + | 2.43755i | 0.608961 | + | 0.359397i | ||||
\(47\) | 0.296017 | 0.0431785 | 0.0215892 | − | 0.999767i | \(-0.493127\pi\) | ||||
0.0215892 | + | 0.999767i | \(0.493127\pi\) | |||||||
\(48\) | −0.00855129 | − | 1.73203i | −0.00123427 | − | 0.249997i | ||||
\(49\) | 1.52381 | + | 3.33668i | 0.217688 | + | 0.476669i | ||||
\(50\) | 0.592230 | − | 4.96480i | 0.0837540 | − | 0.702129i | ||||
\(51\) | 1.95305 | − | 2.27655i | 0.273481 | − | 0.318781i | ||||
\(52\) | 0.415822 | + | 1.41616i | 0.0576642 | + | 0.196386i | ||||
\(53\) | −1.32976 | + | 2.06915i | −0.182656 | + | 0.284219i | −0.920492 | − | 0.390762i | \(-0.872212\pi\) |
0.737835 | + | 0.674981i | \(0.235848\pi\) | |||||||
\(54\) | 0.0769591 | + | 5.19558i | 0.0104728 | + | 0.707029i | ||||
\(55\) | −1.60673 | + | 0.250788i | −0.216651 | + | 0.0338163i | ||||
\(56\) | −2.74772 | + | 1.76585i | −0.367179 | + | 0.235972i | ||||
\(57\) | 9.78579 | − | 2.92592i | 1.29616 | − | 0.387548i | ||||
\(58\) | −6.73005 | + | 0.967635i | −0.883699 | + | 0.127057i | ||||
\(59\) | −4.64023 | − | 7.22033i | −0.604106 | − | 0.940008i | −0.999766 | − | 0.0216106i | \(-0.993121\pi\) |
0.395660 | − | 0.918397i | \(-0.370516\pi\) | |||||||
\(60\) | 3.69704 | − | 1.15406i | 0.477286 | − | 0.148989i | ||||
\(61\) | 4.22497 | + | 1.92948i | 0.540953 | + | 0.247045i | 0.667102 | − | 0.744966i | \(-0.267535\pi\) |
−0.126149 | + | 0.992011i | \(0.540262\pi\) | |||||||
\(62\) | −3.27893 | − | 2.10724i | −0.416424 | − | 0.267619i | ||||
\(63\) | 8.19044 | − | 5.37868i | 1.03190 | − | 0.677651i | ||||
\(64\) | −0.654861 | − | 0.755750i | −0.0818576 | − | 0.0944687i | ||||
\(65\) | −2.75472 | + | 1.81758i | −0.341682 | + | 0.225443i | ||||
\(66\) | −0.686233 | − | 1.05630i | −0.0844695 | − | 0.130021i | ||||
\(67\) | −0.0578385 | + | 0.402276i | −0.00706610 | + | 0.0491458i | −0.993049 | − | 0.117698i | \(-0.962449\pi\) |
0.985983 | + | 0.166844i | \(0.0533576\pi\) | |||||||
\(68\) | − | 1.73177i | − | 0.210008i | ||||||
\(69\) | −8.16371 | + | 1.53424i | −0.982795 | + | 0.184701i | ||||
\(70\) | −5.57677 | − | 4.71598i | −0.666552 | − | 0.563667i | ||||
\(71\) | −7.98308 | − | 1.14779i | −0.947417 | − | 0.136218i | −0.348750 | − | 0.937216i | \(-0.613394\pi\) |
−0.598667 | + | 0.800998i | \(0.704303\pi\) | |||||||
\(72\) | 1.98687 | + | 2.24774i | 0.234155 | + | 0.264899i | ||||
\(73\) | −0.808166 | + | 2.75236i | −0.0945887 | + | 0.322140i | −0.993171 | − | 0.116665i | \(-0.962780\pi\) |
0.898583 | + | 0.438804i | \(0.144598\pi\) | |||||||
\(74\) | −7.28503 | − | 8.40738i | −0.846868 | − | 0.977337i | ||||
\(75\) | 4.89145 | + | 7.14659i | 0.564816 | + | 0.825217i | ||||
\(76\) | 3.18814 | − | 4.96084i | 0.365705 | − | 0.569048i | ||||
\(77\) | −0.986759 | + | 2.16070i | −0.112452 | + | 0.246235i | ||||
\(78\) | −2.15739 | − | 1.37147i | −0.244276 | − | 0.155288i | ||||
\(79\) | −1.78670 | − | 2.78017i | −0.201020 | − | 0.312793i | 0.726078 | − | 0.687612i | \(-0.241341\pi\) |
−0.927098 | + | 0.374819i | \(0.877705\pi\) | |||||||
\(80\) | 1.18618 | − | 1.89552i | 0.132619 | − | 0.211925i | ||||
\(81\) | −6.02691 | − | 6.68404i | −0.669657 | − | 0.742671i | ||||
\(82\) | 0.171790 | + | 0.267311i | 0.0189711 | + | 0.0295196i | ||||
\(83\) | −11.9849 | − | 10.3850i | −1.31552 | − | 1.13990i | −0.980246 | − | 0.197781i | \(-0.936626\pi\) |
−0.335272 | − | 0.942122i | \(-0.608828\pi\) | |||||||
\(84\) | 1.56701 | − | 5.43590i | 0.170975 | − | 0.593105i | ||||
\(85\) | 3.70209 | − | 1.13561i | 0.401548 | − | 0.123175i | ||||
\(86\) | 8.90001 | − | 2.61328i | 0.959713 | − | 0.281797i | ||||
\(87\) | 7.66804 | − | 8.93817i | 0.822100 | − | 0.958273i | ||||
\(88\) | −0.697792 | − | 0.204890i | −0.0743848 | − | 0.0218414i | ||||
\(89\) | −3.56233 | − | 7.80041i | −0.377606 | − | 0.826841i | −0.999058 | − | 0.0433895i | \(-0.986184\pi\) |
0.621452 | − | 0.783452i | \(-0.286543\pi\) | |||||||
\(90\) | −3.50221 | + | 5.72141i | −0.369166 | + | 0.603089i | ||||
\(91\) | 4.82076i | 0.505353i | ||||||||
\(92\) | −3.00053 | + | 3.74124i | −0.312826 | + | 0.390051i | ||||
\(93\) | 6.67742 | − | 0.993741i | 0.692416 | − | 0.103046i | ||||
\(94\) | −0.0421276 | + | 0.293004i | −0.00434513 | + | 0.0302210i | ||||
\(95\) | 12.6957 | + | 3.56237i | 1.30255 | + | 0.365491i | ||||
\(96\) | 1.71562 | + | 0.238029i | 0.175099 | + | 0.0242938i | ||||
\(97\) | 8.74637 | + | 10.0938i | 0.888059 | + | 1.02487i | 0.999516 | + | 0.0311057i | \(0.00990284\pi\) |
−0.111457 | + | 0.993769i | \(0.535552\pi\) | |||||||
\(98\) | −3.51958 | + | 1.03344i | −0.355532 | + | 0.104394i | ||||
\(99\) | 2.09934 | + | 0.593970i | 0.210992 | + | 0.0596963i | ||||
\(100\) | 4.82998 | + | 1.29277i | 0.482998 | + | 0.129277i | ||||
\(101\) | 4.21978 | + | 3.65646i | 0.419884 | + | 0.363831i | 0.839028 | − | 0.544088i | \(-0.183124\pi\) |
−0.419144 | + | 0.907920i | \(0.637670\pi\) | |||||||
\(102\) | 1.97543 | + | 2.25715i | 0.195597 | + | 0.223492i | ||||
\(103\) | 2.60682 | + | 18.1308i | 0.256857 | + | 1.78648i | 0.554887 | + | 0.831926i | \(0.312761\pi\) |
−0.298030 | + | 0.954557i | \(0.596329\pi\) | |||||||
\(104\) | −1.46092 | + | 0.210049i | −0.143255 | + | 0.0205970i | ||||
\(105\) | 12.6482 | − | 0.214718i | 1.23434 | − | 0.0209544i | ||||
\(106\) | −1.85884 | − | 1.61069i | −0.180547 | − | 0.156444i | ||||
\(107\) | −9.34180 | − | 4.26626i | −0.903106 | − | 0.412435i | −0.0909369 | − | 0.995857i | \(-0.528986\pi\) |
−0.812169 | + | 0.583422i | \(0.801713\pi\) | |||||||
\(108\) | −5.15365 | − | 0.663233i | −0.495910 | − | 0.0638196i | ||||
\(109\) | −3.44409 | − | 11.7295i | −0.329884 | − | 1.12348i | −0.942807 | − | 0.333340i | \(-0.891824\pi\) |
0.612922 | − | 0.790143i | \(-0.289994\pi\) | |||||||
\(110\) | −0.0195746 | − | 1.62606i | −0.00186637 | − | 0.155039i | ||||
\(111\) | 19.0855 | + | 2.64797i | 1.81151 | + | 0.251334i | ||||
\(112\) | −1.35684 | − | 2.97106i | −0.128209 | − | 0.280738i | ||||
\(113\) | −9.35371 | − | 1.34486i | −0.879923 | − | 0.126514i | −0.312478 | − | 0.949925i | \(-0.601159\pi\) |
−0.567445 | + | 0.823411i | \(0.692068\pi\) | |||||||
\(114\) | 1.50348 | + | 10.1026i | 0.140814 | + | 0.946194i | ||||
\(115\) | −9.96544 | − | 3.96105i | −0.929282 | − | 0.369370i | ||||
\(116\) | − | 6.79926i | − | 0.631295i | ||||||
\(117\) | 4.37634 | − | 0.673392i | 0.404592 | − | 0.0622552i | ||||
\(118\) | 7.80722 | − | 3.56544i | 0.718712 | − | 0.328225i | ||||
\(119\) | 1.59357 | − | 5.42721i | 0.146083 | − | 0.497512i | ||||
\(120\) | 0.616174 | + | 3.82365i | 0.0562487 | + | 0.349050i | ||||
\(121\) | 10.0470 | − | 2.95005i | 0.913359 | − | 0.268187i | ||||
\(122\) | −2.51112 | + | 3.90738i | −0.227346 | + | 0.353757i | ||||
\(123\) | −0.528830 | − | 0.152447i | −0.0476830 | − | 0.0137456i | ||||
\(124\) | 2.55243 | − | 2.94566i | 0.229215 | − | 0.264528i | ||||
\(125\) | 0.403661 | + | 11.1731i | 0.0361046 | + | 0.999348i | ||||
\(126\) | 4.15832 | + | 8.87254i | 0.370452 | + | 0.790429i | ||||
\(127\) | 11.0052 | − | 1.58231i | 0.976553 | − | 0.140407i | 0.364482 | − | 0.931210i | \(-0.381246\pi\) |
0.612070 | + | 0.790803i | \(0.290337\pi\) | |||||||
\(128\) | 0.841254 | − | 0.540641i | 0.0743570 | − | 0.0477863i | ||||
\(129\) | −8.61914 | + | 13.5584i | −0.758873 | + | 1.19375i | ||||
\(130\) | −1.40704 | − | 2.98535i | −0.123405 | − | 0.261833i | ||||
\(131\) | 7.01612 | − | 10.9173i | 0.613001 | − | 0.953848i | −0.386501 | − | 0.922289i | \(-0.626316\pi\) |
0.999502 | − | 0.0315591i | \(-0.0100472\pi\) | |||||||
\(132\) | 1.14321 | − | 0.528922i | 0.0995034 | − | 0.0460367i | ||||
\(133\) | 14.5563 | − | 12.6131i | 1.26219 | − | 1.09370i | ||||
\(134\) | −0.389950 | − | 0.114500i | −0.0336866 | − | 0.00989126i | ||||
\(135\) | −1.96170 | − | 11.4522i | −0.168836 | − | 0.985644i | ||||
\(136\) | 1.71414 | + | 0.246456i | 0.146986 | + | 0.0211335i | ||||
\(137\) | − | 2.34987i | − | 0.200763i | −0.994949 | − | 0.100382i | \(-0.967994\pi\) | ||
0.994949 | − | 0.100382i | \(-0.0320064\pi\) | |||||||
\(138\) | −0.356805 | − | 8.29896i | −0.0303732 | − | 0.706454i | ||||
\(139\) | 0.917075 | 0.0777853 | 0.0388926 | − | 0.999243i | \(-0.487617\pi\) | ||||
0.0388926 | + | 0.999243i | \(0.487617\pi\) | |||||||
\(140\) | 5.46163 | − | 4.84886i | 0.461592 | − | 0.409803i | ||||
\(141\) | −0.279321 | − | 0.429950i | −0.0235231 | − | 0.0362084i | ||||
\(142\) | 2.27222 | − | 7.73848i | 0.190681 | − | 0.649398i | ||||
\(143\) | −0.811209 | + | 0.702916i | −0.0678367 | + | 0.0587808i | ||||
\(144\) | −2.50762 | + | 1.64676i | −0.208969 | + | 0.137230i | ||||
\(145\) | 14.5351 | − | 4.45864i | 1.20708 | − | 0.370269i | ||||
\(146\) | −2.60933 | − | 1.19164i | −0.215950 | − | 0.0986210i | ||||
\(147\) | 3.40851 | − | 5.36176i | 0.281129 | − | 0.442231i | ||||
\(148\) | 9.35857 | − | 6.01439i | 0.769270 | − | 0.494380i | ||||
\(149\) | 1.45041 | + | 10.0879i | 0.118823 | + | 0.826429i | 0.958856 | + | 0.283894i | \(0.0916264\pi\) |
−0.840033 | + | 0.542535i | \(0.817465\pi\) | |||||||
\(150\) | −7.76997 | + | 3.82460i | −0.634415 | + | 0.312277i | ||||
\(151\) | −17.7643 | + | 11.4164i | −1.44564 | + | 0.929054i | −0.446218 | + | 0.894924i | \(0.647229\pi\) |
−0.999417 | + | 0.0341294i | \(0.989134\pi\) | |||||||
\(152\) | 4.45663 | + | 3.86169i | 0.361480 | + | 0.313225i | ||||
\(153\) | −5.14948 | − | 0.688557i | −0.416310 | − | 0.0556665i | ||||
\(154\) | −1.99828 | − | 1.28422i | −0.161026 | − | 0.103485i | ||||
\(155\) | 7.97086 | + | 3.52484i | 0.640235 | + | 0.283122i | ||||
\(156\) | 1.66454 | − | 1.94025i | 0.133270 | − | 0.155344i | ||||
\(157\) | −15.3988 | − | 4.52150i | −1.22896 | − | 0.360855i | −0.398103 | − | 0.917341i | \(-0.630331\pi\) |
−0.830857 | + | 0.556485i | \(0.812149\pi\) | |||||||
\(158\) | 3.00614 | − | 1.37286i | 0.239156 | − | 0.109219i | ||||
\(159\) | 4.26010 | − | 0.0210327i | 0.337848 | − | 0.00166801i | ||||
\(160\) | 1.70741 | + | 1.44387i | 0.134983 | + | 0.114148i | ||||
\(161\) | −12.8461 | + | 8.96362i | −1.01241 | + | 0.706432i | ||||
\(162\) | 7.47372 | − | 5.01433i | 0.587191 | − | 0.393963i | ||||
\(163\) | −14.5365 | − | 2.09003i | −1.13859 | − | 0.163704i | −0.452872 | − | 0.891575i | \(-0.649601\pi\) |
−0.685714 | + | 0.727871i | \(0.740510\pi\) | |||||||
\(164\) | −0.289038 | + | 0.131999i | −0.0225701 | + | 0.0103074i | ||||
\(165\) | 1.88037 | + | 2.09705i | 0.146386 | + | 0.163255i | ||||
\(166\) | 11.9849 | − | 10.3850i | 0.930212 | − | 0.806033i | ||||
\(167\) | 4.12542 | − | 1.21133i | 0.319234 | − | 0.0937357i | −0.118190 | − | 0.992991i | \(-0.537709\pi\) |
0.437424 | + | 0.899255i | \(0.355891\pi\) | |||||||
\(168\) | 5.15756 | + | 2.32467i | 0.397914 | + | 0.179352i | ||||
\(169\) | 4.49545 | − | 9.84366i | 0.345804 | − | 0.757204i | ||||
\(170\) | 0.597191 | + | 3.82603i | 0.0458025 | + | 0.293443i | ||||
\(171\) | −13.4836 | − | 11.4525i | −1.03112 | − | 0.875794i | ||||
\(172\) | 1.32008 | + | 9.18133i | 0.100655 | + | 0.700070i | ||||
\(173\) | 2.27457 | + | 15.8200i | 0.172932 | + | 1.20277i | 0.872648 | + | 0.488349i | \(0.162401\pi\) |
−0.699716 | + | 0.714421i | \(0.746690\pi\) | |||||||
\(174\) | 7.75592 | + | 8.86202i | 0.587975 | + | 0.671828i | ||||
\(175\) | 13.9471 | + | 8.49597i | 1.05430 | + | 0.642235i | ||||
\(176\) | 0.302111 | − | 0.661530i | 0.0227725 | − | 0.0498647i | ||||
\(177\) | −6.10868 | + | 13.5528i | −0.459156 | + | 1.01869i | ||||
\(178\) | 8.22798 | − | 2.41595i | 0.616713 | − | 0.181083i | ||||
\(179\) | 13.3592 | − | 11.5758i | 0.998511 | − | 0.865215i | 0.00763206 | − | 0.999971i | \(-0.497571\pi\) |
0.990879 | + | 0.134756i | \(0.0430252\pi\) | |||||||
\(180\) | −5.16475 | − | 4.28081i | −0.384958 | − | 0.319073i | ||||
\(181\) | −18.4414 | + | 8.42192i | −1.37074 | + | 0.625997i | −0.958504 | − | 0.285080i | \(-0.907980\pi\) |
−0.412238 | + | 0.911076i | \(0.635253\pi\) | |||||||
\(182\) | −4.77169 | − | 0.686066i | −0.353701 | − | 0.0508546i | ||||
\(183\) | −1.18420 | − | 7.95724i | −0.0875389 | − | 0.588216i | ||||
\(184\) | −3.27614 | − | 3.50242i | −0.241520 | − | 0.258202i | ||||
\(185\) | 18.9942 | + | 16.0624i | 1.39648 | + | 1.18093i | ||||
\(186\) | 0.0333301 | + | 6.75088i | 0.00244388 | + | 0.494998i | ||||
\(187\) | 1.14562 | − | 0.523186i | 0.0837758 | − | 0.0382591i | ||||
\(188\) | −0.284026 | − | 0.0833976i | −0.0207147 | − | 0.00608239i | ||||
\(189\) | −15.5408 | − | 6.82090i | −1.13043 | − | 0.496147i | ||||
\(190\) | −5.33289 | + | 12.0595i | −0.386889 | + | 0.874887i | ||||
\(191\) | 0.401041 | + | 0.257733i | 0.0290183 | + | 0.0186489i | 0.555070 | − | 0.831804i | \(-0.312692\pi\) |
−0.526051 | + | 0.850453i | \(0.676328\pi\) | |||||||
\(192\) | −0.479764 | + | 1.66428i | −0.0346240 | + | 0.120109i | ||||
\(193\) | 2.50162 | + | 2.16767i | 0.180070 | + | 0.156032i | 0.740232 | − | 0.672351i | \(-0.234716\pi\) |
−0.560162 | + | 0.828383i | \(0.689261\pi\) | |||||||
\(194\) | −11.2358 | + | 7.22084i | −0.806687 | + | 0.518426i | ||||
\(195\) | 5.23930 | + | 2.28604i | 0.375194 | + | 0.163707i | ||||
\(196\) | −0.522035 | − | 3.63083i | −0.0372882 | − | 0.259345i | ||||
\(197\) | 2.16157 | − | 1.38916i | 0.154006 | − | 0.0989735i | −0.461368 | − | 0.887209i | \(-0.652641\pi\) |
0.615374 | + | 0.788235i | \(0.289005\pi\) | |||||||
\(198\) | −0.886692 | + | 1.99344i | −0.0630145 | + | 0.141668i | ||||
\(199\) | 8.19677 | + | 3.74334i | 0.581053 | + | 0.265358i | 0.684184 | − | 0.729310i | \(-0.260159\pi\) |
−0.103130 | + | 0.994668i | \(0.532886\pi\) | |||||||
\(200\) | −1.96699 | + | 4.59684i | −0.139087 | + | 0.325046i | ||||
\(201\) | 0.638863 | − | 0.295580i | 0.0450619 | − | 0.0208486i | ||||
\(202\) | −4.21978 | + | 3.65646i | −0.296903 | + | 0.257268i | ||||
\(203\) | 6.25667 | − | 21.3083i | 0.439132 | − | 1.49555i | ||||
\(204\) | −2.51531 | + | 1.63410i | −0.176107 | + | 0.114410i | ||||
\(205\) | −0.471720 | − | 0.531334i | −0.0329464 | − | 0.0371100i | ||||
\(206\) | −18.3173 | −1.27622 | ||||||||
\(207\) | 9.93168 | + | 10.4097i | 0.690299 | + | 0.723524i | ||||
\(208\) | − | 1.47595i | − | 0.102338i | ||||||
\(209\) | 4.24492 | + | 0.610327i | 0.293627 | + | 0.0422172i | ||||
\(210\) | −1.58749 | + | 12.5500i | −0.109547 | + | 0.866032i | ||||
\(211\) | −15.4355 | − | 4.53227i | −1.06262 | − | 0.312014i | −0.296716 | − | 0.954966i | \(-0.595892\pi\) |
−0.765907 | + | 0.642951i | \(0.777710\pi\) | |||||||
\(212\) | 1.85884 | − | 1.61069i | 0.127666 | − | 0.110623i | ||||
\(213\) | 5.86572 | + | 12.6781i | 0.401912 | + | 0.868689i | ||||
\(214\) | 5.55231 | − | 8.63957i | 0.379548 | − | 0.590589i | ||||
\(215\) | −18.7618 | + | 8.84268i | −1.27954 | + | 0.603066i | ||||
\(216\) | 1.38992 | − | 5.00681i | 0.0945723 | − | 0.340670i | ||||
\(217\) | 10.7097 | − | 6.88270i | 0.727021 | − | 0.467228i | ||||
\(218\) | 12.1003 | − | 1.73975i | 0.819533 | − | 0.117831i | ||||
\(219\) | 4.76026 | − | 1.42330i | 0.321669 | − | 0.0961780i | ||||
\(220\) | 1.61230 | + | 0.212038i | 0.108701 | + | 0.0142956i | ||||
\(221\) | 1.67382 | − | 1.93169i | 0.112594 | − | 0.129940i | ||||
\(222\) | −5.33716 | + | 18.5144i | −0.358207 | + | 1.24260i | ||||
\(223\) | 1.88085 | − | 2.92665i | 0.125951 | − | 0.195983i | −0.772551 | − | 0.634952i | \(-0.781020\pi\) |
0.898502 | + | 0.438969i | \(0.144656\pi\) | |||||||
\(224\) | 3.13391 | − | 0.920200i | 0.209393 | − | 0.0614834i | ||||
\(225\) | 5.76450 | − | 13.8481i | 0.384300 | − | 0.923208i | ||||
\(226\) | 2.66234 | − | 9.06711i | 0.177097 | − | 0.603135i | ||||
\(227\) | −18.4257 | + | 8.41476i | −1.22296 | + | 0.558507i | −0.919030 | − | 0.394188i | \(-0.871026\pi\) |
−0.303930 | + | 0.952695i | \(0.598299\pi\) | |||||||
\(228\) | −10.2137 | + | 0.0504267i | −0.676420 | + | 0.00333959i | ||||
\(229\) | − | 9.44144i | − | 0.623908i | −0.950097 | − | 0.311954i | \(-0.899017\pi\) | ||
0.950097 | − | 0.311954i | \(-0.100983\pi\) | |||||||
\(230\) | 5.33897 | − | 9.30029i | 0.352041 | − | 0.613243i | ||||
\(231\) | 4.06942 | − | 0.605616i | 0.267748 | − | 0.0398466i | ||||
\(232\) | 6.73005 | + | 0.967635i | 0.441850 | + | 0.0635284i | ||||
\(233\) | −4.97061 | − | 10.8841i | −0.325636 | − | 0.713042i | 0.674035 | − | 0.738699i | \(-0.264560\pi\) |
−0.999671 | + | 0.0256568i | \(0.991832\pi\) | |||||||
\(234\) | 0.0437208 | + | 4.42762i | 0.00285812 | + | 0.289443i | ||||
\(235\) | −0.00796757 | − | 0.661866i | −0.000519747 | − | 0.0431754i | ||||
\(236\) | 2.41806 | + | 8.23516i | 0.157402 | + | 0.536063i | ||||
\(237\) | −2.35213 | + | 5.21847i | −0.152787 | + | 0.338976i | ||||
\(238\) | 5.14518 | + | 2.34973i | 0.333513 | + | 0.152310i | ||||
\(239\) | 15.5939 | + | 13.5122i | 1.00869 | + | 0.874034i | 0.992052 | − | 0.125828i | \(-0.0401587\pi\) |
0.0166366 | + | 0.999862i | \(0.494704\pi\) | |||||||
\(240\) | −3.87243 | + | 0.0657391i | −0.249964 | + | 0.00424344i | ||||
\(241\) | −9.29277 | + | 1.33610i | −0.598600 | + | 0.0860657i | −0.434953 | − | 0.900453i | \(-0.643235\pi\) |
−0.163647 | + | 0.986519i | \(0.552326\pi\) | |||||||
\(242\) | 1.49019 | + | 10.3645i | 0.0957933 | + | 0.666257i | ||||
\(243\) | −4.02125 | + | 15.0609i | −0.257964 | + | 0.966155i | ||||
\(244\) | −3.51024 | − | 3.04164i | −0.224720 | − | 0.194721i | ||||
\(245\) | 7.41950 | − | 3.49691i | 0.474014 | − | 0.223410i | ||||
\(246\) | 0.226155 | − | 0.501752i | 0.0144191 | − | 0.0319905i | ||||
\(247\) | 8.35105 | − | 2.45209i | 0.531365 | − | 0.156023i | ||||
\(248\) | 2.55243 | + | 2.94566i | 0.162079 | + | 0.187050i | ||||
\(249\) | −3.77475 | + | 27.2068i | −0.239215 | + | 1.72416i | ||||
\(250\) | −11.1168 | − | 1.19054i | −0.703086 | − | 0.0752962i | ||||
\(251\) | 3.51524 | − | 24.4491i | 0.221880 | − | 1.54321i | −0.509037 | − | 0.860745i | \(-0.669998\pi\) |
0.730917 | − | 0.682466i | \(-0.239092\pi\) | |||||||
\(252\) | −9.37402 | + | 2.85330i | −0.590508 | + | 0.179741i | ||||
\(253\) | −3.38143 | − | 0.854670i | −0.212589 | − | 0.0537327i | ||||
\(254\) | 11.1184i | 0.697628i | ||||||||
\(255\) | −5.14272 | − | 4.30555i | −0.322050 | − | 0.269624i | ||||
\(256\) | 0.415415 | + | 0.909632i | 0.0259634 | + | 0.0568520i | ||||
\(257\) | 1.94338 | + | 0.570628i | 0.121225 | + | 0.0355948i | 0.341782 | − | 0.939779i | \(-0.388969\pi\) |
−0.220557 | + | 0.975374i | \(0.570788\pi\) | |||||||
\(258\) | −12.1937 | − | 10.4610i | −0.759148 | − | 0.651271i | ||||
\(259\) | 34.8634 | − | 10.2368i | 2.16630 | − | 0.636084i | ||||
\(260\) | 3.15521 | − | 0.967857i | 0.195678 | − | 0.0600239i | ||||
\(261\) | −20.2178 | − | 2.70341i | −1.25145 | − | 0.167337i | ||||
\(262\) | 9.80767 | + | 8.49840i | 0.605920 | + | 0.525033i | ||||
\(263\) | −10.8582 | − | 16.8957i | −0.669547 | − | 1.04184i | −0.995343 | − | 0.0963952i | \(-0.969269\pi\) |
0.325796 | − | 0.945440i | \(-0.394368\pi\) | |||||||
\(264\) | 0.360843 | + | 1.20684i | 0.0222083 | + | 0.0742761i | ||||
\(265\) | 4.66221 | + | 2.91752i | 0.286397 | + | 0.179222i | ||||
\(266\) | 10.4132 | + | 16.2032i | 0.638472 | + | 0.993481i | ||||
\(267\) | −7.96831 | + | 12.5346i | −0.487653 | + | 0.767103i | ||||
\(268\) | 0.168830 | − | 0.369686i | 0.0103129 | − | 0.0225822i | ||||
\(269\) | −7.98286 | + | 12.4216i | −0.486723 | + | 0.757356i | −0.994568 | − | 0.104093i | \(-0.966806\pi\) |
0.507844 | + | 0.861449i | \(0.330443\pi\) | |||||||
\(270\) | 11.6148 | − | 0.311917i | 0.706852 | − | 0.0189827i | ||||
\(271\) | −5.87144 | − | 6.77600i | −0.356664 | − | 0.411613i | 0.548855 | − | 0.835918i | \(-0.315064\pi\) |
−0.905519 | + | 0.424305i | \(0.860518\pi\) | |||||||
\(272\) | −0.487896 | + | 1.66162i | −0.0295830 | + | 0.100751i | ||||
\(273\) | 7.00193 | − | 4.54887i | 0.423776 | − | 0.275310i | ||||
\(274\) | 2.32595 | + | 0.334422i | 0.140516 | + | 0.0202032i | ||||
\(275\) | 0.603986 | + | 3.58574i | 0.0364217 | + | 0.216228i | ||||
\(276\) | 8.26526 | + | 0.827892i | 0.497510 | + | 0.0498332i | ||||
\(277\) | − | 32.6649i | − | 1.96264i | −0.192377 | − | 0.981321i | \(-0.561620\pi\) | ||
0.192377 | − | 0.981321i | \(-0.438380\pi\) | |||||||
\(278\) | −0.130513 | + | 0.907741i | −0.00782767 | + | 0.0544427i | ||||
\(279\) | −7.74417 | − | 8.76094i | −0.463631 | − | 0.524504i | ||||
\(280\) | 4.02223 | + | 6.09611i | 0.240374 | + | 0.364312i | ||||
\(281\) | 3.24036 | + | 3.73957i | 0.193304 | + | 0.223084i | 0.844125 | − | 0.536147i | \(-0.180121\pi\) |
−0.650821 | + | 0.759231i | \(0.725575\pi\) | |||||||
\(282\) | 0.465326 | − | 0.215290i | 0.0277097 | − | 0.0128203i | ||||
\(283\) | −7.79627 | − | 5.01036i | −0.463440 | − | 0.297835i | 0.288007 | − | 0.957628i | \(-0.407007\pi\) |
−0.751447 | + | 0.659793i | \(0.770644\pi\) | |||||||
\(284\) | 7.33634 | + | 3.35039i | 0.435332 | + | 0.198809i | ||||
\(285\) | −6.80548 | − | 21.8013i | −0.403122 | − | 1.29140i | ||||
\(286\) | −0.580315 | − | 0.902987i | −0.0343147 | − | 0.0533948i | ||||
\(287\) | −1.02729 | + | 0.147702i | −0.0606388 | + | 0.00871854i | ||||
\(288\) | −1.27313 | − | 2.71646i | −0.0750199 | − | 0.160069i | ||||
\(289\) | 11.7784 | − | 7.56950i | 0.692845 | − | 0.445265i | ||||
\(290\) | 2.34469 | + | 15.0217i | 0.137685 | + | 0.882106i | ||||
\(291\) | 6.40777 | − | 22.2282i | 0.375630 | − | 1.30304i | ||||
\(292\) | 1.55086 | − | 2.41319i | 0.0907572 | − | 0.141221i | ||||
\(293\) | −6.42750 | − | 21.8900i | −0.375498 | − | 1.27883i | −0.903134 | − | 0.429359i | \(-0.858740\pi\) |
0.527636 | − | 0.849471i | \(-0.323079\pi\) | |||||||
\(294\) | 4.82211 | + | 4.13687i | 0.281231 | + | 0.241267i | ||||
\(295\) | −16.0191 | + | 10.5695i | −0.932668 | + | 0.615377i | ||||
\(296\) | 4.62131 | + | 10.1192i | 0.268608 | + | 0.588169i | ||||
\(297\) | −1.11822 | − | 3.60967i | −0.0648860 | − | 0.209454i | ||||
\(298\) | −10.1916 | −0.590383 | ||||||||
\(299\) | −6.96298 | + | 1.27302i | −0.402679 | + | 0.0736207i | ||||
\(300\) | −2.67989 | − | 8.23518i | −0.154723 | − | 0.475458i | ||||
\(301\) | −4.31165 | + | 29.9882i | −0.248520 | + | 1.72849i | ||||
\(302\) | −8.77208 | − | 19.2082i | −0.504776 | − | 1.10531i | ||||
\(303\) | 1.32905 | − | 9.57926i | 0.0763521 | − | 0.550314i | ||||
\(304\) | −4.45663 | + | 3.86169i | −0.255605 | + | 0.221483i | ||||
\(305\) | 4.20042 | − | 9.49858i | 0.240515 | − | 0.543887i | ||||
\(306\) | 1.41439 | − | 4.99907i | 0.0808556 | − | 0.285778i | ||||
\(307\) | −16.0568 | − | 7.33288i | −0.916408 | − | 0.418509i | −0.0993417 | − | 0.995053i | \(-0.531674\pi\) |
−0.817066 | + | 0.576544i | \(0.804401\pi\) | |||||||
\(308\) | 1.55553 | − | 1.79518i | 0.0886344 | − | 0.102290i | ||||
\(309\) | 23.8744 | − | 20.8945i | 1.35817 | − | 1.18865i | ||||
\(310\) | −4.62333 | + | 7.38809i | −0.262588 | + | 0.419615i | ||||
\(311\) | −22.4582 | + | 3.22901i | −1.27349 | + | 0.183100i | −0.745704 | − | 0.666277i | \(-0.767887\pi\) |
−0.527786 | + | 0.849377i | \(0.676978\pi\) | |||||||
\(312\) | 1.68361 | + | 1.92372i | 0.0953159 | + | 0.108909i | ||||
\(313\) | −6.80241 | + | 7.85039i | −0.384495 | + | 0.443731i | −0.914697 | − | 0.404141i | \(-0.867571\pi\) |
0.530202 | + | 0.847871i | \(0.322116\pi\) | |||||||
\(314\) | 6.66696 | − | 14.5986i | 0.376238 | − | 0.823847i | ||||
\(315\) | −12.2467 | − | 18.1683i | −0.690023 | − | 1.02367i | ||||
\(316\) | 0.931067 | + | 3.17092i | 0.0523766 | + | 0.178378i | ||||
\(317\) | −1.99686 | − | 2.30450i | −0.112155 | − | 0.129434i | 0.696896 | − | 0.717172i | \(-0.254564\pi\) |
−0.809051 | + | 0.587738i | \(0.800018\pi\) | |||||||
\(318\) | −0.585456 | + | 4.21973i | −0.0328308 | + | 0.236631i | ||||
\(319\) | 4.49791 | − | 2.05413i | 0.251835 | − | 0.115009i | ||||
\(320\) | −1.67216 | + | 1.48455i | −0.0934765 | + | 0.0829888i | ||||
\(321\) | 2.61838 | + | 17.5942i | 0.146144 | + | 0.982011i | ||||
\(322\) | −7.04420 | − | 13.9910i | −0.392558 | − | 0.779686i | ||||
\(323\) | −10.2122 | −0.568221 | ||||||||
\(324\) | 3.89967 | + | 8.11126i | 0.216648 | + | 0.450626i | ||||
\(325\) | 4.13808 | + | 6.11038i | 0.229539 | + | 0.338943i | ||||
\(326\) | 4.13752 | − | 14.0911i | 0.229156 | − | 0.780433i | ||||
\(327\) | −13.7867 | + | 16.0703i | −0.762407 | + | 0.888692i | ||||
\(328\) | −0.0895214 | − | 0.304882i | −0.00494299 | − | 0.0168343i | ||||
\(329\) | −0.813370 | − | 0.522721i | −0.0448425 | − | 0.0288186i | ||||
\(330\) | −2.34331 | + | 1.56278i | −0.128995 | + | 0.0860285i | ||||
\(331\) | −20.2113 | + | 23.3251i | −1.11091 | + | 1.28206i | −0.155160 | + | 0.987889i | \(0.549589\pi\) |
−0.955753 | + | 0.294172i | \(0.904956\pi\) | |||||||
\(332\) | 8.57367 | + | 13.3409i | 0.470541 | + | 0.732176i | ||||
\(333\) | −14.1630 | − | 30.2194i | −0.776127 | − | 1.65601i | ||||
\(334\) | 0.611894 | + | 4.25582i | 0.0334814 | + | 0.232868i | ||||
\(335\) | 0.901008 | + | 0.118494i | 0.0492273 | + | 0.00647401i | ||||
\(336\) | −3.03501 | + | 4.77423i | −0.165573 | + | 0.260455i | ||||
\(337\) | −6.43537 | + | 14.0915i | −0.350557 | + | 0.767613i | 0.649417 | + | 0.760432i | \(0.275013\pi\) |
−0.999974 | + | 0.00718065i | \(0.997714\pi\) | |||||||
\(338\) | 9.10369 | + | 5.85059i | 0.495176 | + | 0.318230i | ||||
\(339\) | 6.87281 | + | 14.8548i | 0.373280 | + | 0.806804i | ||||
\(340\) | −3.87207 | + | 0.0466122i | −0.209993 | + | 0.00252790i | ||||
\(341\) | 2.71976 | + | 0.798593i | 0.147283 | + | 0.0432463i | ||||
\(342\) | 13.2548 | − | 11.7165i | 0.716740 | − | 0.633557i | ||||
\(343\) | −1.54874 | + | 10.7717i | −0.0836240 | + | 0.581618i | ||||
\(344\) | −9.27575 | −0.500115 | ||||||||
\(345\) | 3.65015 | + | 18.2120i | 0.196517 | + | 0.980500i | ||||
\(346\) | −15.9827 | −0.859233 | ||||||||
\(347\) | 3.43226 | − | 23.8719i | 0.184254 | − | 1.28151i | −0.662312 | − | 0.749228i | \(-0.730425\pi\) |
0.846566 | − | 0.532284i | \(-0.178666\pi\) | |||||||
\(348\) | −9.87560 | + | 6.41578i | −0.529388 | + | 0.343922i | ||||
\(349\) | −4.83714 | − | 1.42031i | −0.258926 | − | 0.0760276i | 0.149693 | − | 0.988733i | \(-0.452171\pi\) |
−0.408619 | + | 0.912705i | \(0.633990\pi\) | |||||||
\(350\) | −10.3944 | + | 12.5961i | −0.555603 | + | 0.673289i | ||||
\(351\) | −5.10758 | − | 5.72101i | −0.272622 | − | 0.305365i | ||||
\(352\) | 0.611802 | + | 0.393181i | 0.0326092 | + | 0.0209566i | ||||
\(353\) | −6.56143 | + | 14.3675i | −0.349230 | + | 0.764707i | 0.650756 | + | 0.759287i | \(0.274452\pi\) |
−0.999985 | + | 0.00541925i | \(0.998275\pi\) | |||||||
\(354\) | −12.5455 | − | 7.97527i | −0.666787 | − | 0.423881i | ||||
\(355\) | −2.35149 | + | 17.8803i | −0.124804 | + | 0.948988i | ||||
\(356\) | 1.22040 | + | 8.48806i | 0.0646810 | + | 0.449866i | ||||
\(357\) | −9.38646 | + | 2.80653i | −0.496784 | + | 0.148537i | ||||
\(358\) | 9.55675 | + | 14.8706i | 0.505090 | + | 0.785935i | ||||
\(359\) | 1.03639 | − | 1.19605i | 0.0546984 | − | 0.0631254i | −0.727741 | − | 0.685852i | \(-0.759430\pi\) |
0.782439 | + | 0.622727i | \(0.213975\pi\) | |||||||
\(360\) | 4.97226 | − | 4.50296i | 0.262061 | − | 0.237327i | ||||
\(361\) | −13.2701 | − | 8.52818i | −0.698427 | − | 0.448852i | ||||
\(362\) | −5.71171 | − | 19.4523i | −0.300201 | − | 1.02239i | ||||
\(363\) | −13.7651 | − | 11.8091i | −0.722481 | − | 0.619815i | ||||
\(364\) | 1.35817 | − | 4.62549i | 0.0711872 | − | 0.242441i | ||||
\(365\) | 6.17577 | + | 1.73290i | 0.323255 | + | 0.0907042i | ||||
\(366\) | 8.04477 | − | 0.0397183i | 0.420507 | − | 0.00207611i | ||||
\(367\) | −34.0866 | −1.77931 | −0.889653 | − | 0.456637i | \(-0.849054\pi\) | ||||
−0.889653 | + | 0.456637i | \(0.849054\pi\) | |||||||
\(368\) | 3.93301 | − | 2.74434i | 0.205022 | − | 0.143059i | ||||
\(369\) | 0.277582 | + | 0.911949i | 0.0144504 | + | 0.0474742i | ||||
\(370\) | −18.6020 | + | 16.5149i | −0.967073 | + | 0.858571i | ||||
\(371\) | 7.30760 | − | 3.33727i | 0.379392 | − | 0.173262i | ||||
\(372\) | −6.68690 | − | 0.927759i | −0.346700 | − | 0.0481021i | ||||
\(373\) | 7.49073 | + | 8.64477i | 0.387855 | + | 0.447609i | 0.915779 | − | 0.401683i | \(-0.131575\pi\) |
−0.527923 | + | 0.849292i | \(0.677029\pi\) | |||||||
\(374\) | 0.354822 | + | 1.20841i | 0.0183474 | + | 0.0624856i | ||||
\(375\) | 15.8474 | − | 11.1292i | 0.818358 | − | 0.574709i | ||||
\(376\) | 0.122970 | − | 0.269266i | 0.00634168 | − | 0.0138863i | ||||
\(377\) | 6.57175 | − | 7.58421i | 0.338462 | − | 0.390607i | ||||
\(378\) | 8.96316 | − | 14.4119i | 0.461015 | − | 0.741267i | ||||
\(379\) | 26.4513 | − | 3.80312i | 1.35871 | − | 0.195353i | 0.575853 | − | 0.817553i | \(-0.304670\pi\) |
0.782858 | + | 0.622200i | \(0.213761\pi\) | |||||||
\(380\) | −11.1778 | − | 6.99486i | −0.573409 | − | 0.358829i | ||||
\(381\) | −12.6827 | − | 14.4915i | −0.649755 | − | 0.742420i | ||||
\(382\) | −0.312184 | + | 0.360280i | −0.0159727 | + | 0.0184335i | ||||
\(383\) | −11.7553 | − | 5.36847i | −0.600668 | − | 0.274316i | 0.0917849 | − | 0.995779i | \(-0.470743\pi\) |
−0.692453 | + | 0.721463i | \(0.743470\pi\) | |||||||
\(384\) | −1.57906 | − | 0.711733i | −0.0805812 | − | 0.0363205i | ||||
\(385\) | 4.85768 | + | 2.14814i | 0.247570 | + | 0.109480i | ||||
\(386\) | −2.50162 | + | 2.16767i | −0.127329 | + | 0.110331i | ||||
\(387\) | 27.8259 | − | 0.274768i | 1.41447 | − | 0.0139672i | ||||
\(388\) | −5.54831 | − | 12.1491i | −0.281673 | − | 0.616778i | ||||
\(389\) | 3.82143 | − | 26.5786i | 0.193754 | − | 1.34759i | −0.628208 | − | 0.778046i | \(-0.716211\pi\) |
0.821962 | − | 0.569543i | \(-0.192880\pi\) | |||||||
\(390\) | −3.00840 | + | 4.86064i | −0.152336 | + | 0.246128i | ||||
\(391\) | 8.25973 | + | 0.868547i | 0.417713 | + | 0.0439243i | ||||
\(392\) | 3.66817 | 0.185271 | ||||||||
\(393\) | −22.4773 | + | 0.110974i | −1.13383 | + | 0.00559788i | ||||
\(394\) | 1.06740 | + | 2.33727i | 0.0537746 | + | 0.117750i | ||||
\(395\) | −6.16810 | + | 4.06973i | −0.310351 | + | 0.204770i | ||||
\(396\) | −1.84696 | − | 1.16136i | −0.0928134 | − | 0.0583607i | ||||
\(397\) | 6.70727 | + | 22.8429i | 0.336628 | + | 1.14645i | 0.937755 | + | 0.347297i | \(0.112901\pi\) |
−0.601127 | + | 0.799154i | \(0.705281\pi\) | |||||||
\(398\) | −4.87176 | + | 7.58060i | −0.244199 | + | 0.379981i | ||||
\(399\) | −32.0553 | − | 9.24063i | −1.60477 | − | 0.462610i | ||||
\(400\) | −4.27012 | − | 2.60116i | −0.213506 | − | 0.130058i | ||||
\(401\) | 27.8844 | − | 17.9202i | 1.39248 | − | 0.894893i | 0.392787 | − | 0.919629i | \(-0.371511\pi\) |
0.999694 | + | 0.0247360i | \(0.00787450\pi\) | |||||||
\(402\) | 0.201651 | + | 0.674426i | 0.0100575 | + | 0.0336373i | ||||
\(403\) | 5.69419 | − | 0.818702i | 0.283648 | − | 0.0407824i | ||||
\(404\) | −3.01870 | − | 4.69720i | −0.150186 | − | 0.233694i | ||||
\(405\) | −14.7827 | + | 13.6555i | −0.734556 | + | 0.678548i | ||||
\(406\) | 20.2010 | + | 9.22547i | 1.00256 | + | 0.457853i | ||||
\(407\) | 6.80602 | + | 4.37397i | 0.337362 | + | 0.216809i | ||||
\(408\) | −1.25950 | − | 2.72227i | −0.0623544 | − | 0.134772i | ||||
\(409\) | −0.427761 | − | 0.493663i | −0.0211514 | − | 0.0244101i | 0.745075 | − | 0.666980i | \(-0.232414\pi\) |
−0.766227 | + | 0.642570i | \(0.777868\pi\) | |||||||
\(410\) | 0.593058 | − | 0.391302i | 0.0292891 | − | 0.0193250i | ||||
\(411\) | −3.41308 | + | 2.21734i | −0.168355 | + | 0.109373i | ||||
\(412\) | 2.60682 | − | 18.1308i | 0.128429 | − | 0.893241i | ||||
\(413\) | 28.0334i | 1.37943i | ||||||||
\(414\) | −11.7172 | + | 8.34914i | −0.575867 | + | 0.410338i | ||||
\(415\) | −22.8973 | + | 27.0767i | −1.12398 | + | 1.32914i | ||||
\(416\) | 1.46092 | + | 0.210049i | 0.0716277 | + | 0.0102985i | ||||
\(417\) | −0.865352 | − | 1.33201i | −0.0423765 | − | 0.0652287i | ||||
\(418\) | −1.20823 | + | 4.11485i | −0.0590965 | + | 0.201264i | ||||
\(419\) | 17.0320 | + | 19.6560i | 0.832069 | + | 0.960259i | 0.999672 | − | 0.0255957i | \(-0.00814825\pi\) |
−0.167603 | + | 0.985855i | \(0.553603\pi\) | |||||||
\(420\) | −12.1963 | − | 3.35738i | −0.595120 | − | 0.163824i | ||||
\(421\) | −1.48052 | + | 2.30373i | −0.0721561 | + | 0.112277i | −0.875456 | − | 0.483297i | \(-0.839439\pi\) |
0.803300 | + | 0.595574i | \(0.203075\pi\) | |||||||
\(422\) | 6.68284 | − | 14.6334i | 0.325315 | − | 0.712342i | ||||
\(423\) | −0.360915 | + | 0.811402i | −0.0175483 | + | 0.0394517i | ||||
\(424\) | 1.32976 | + | 2.06915i | 0.0645788 | + | 0.100487i | ||||
\(425\) | −2.63877 | − | 8.24697i | −0.127999 | − | 0.400037i | ||||
\(426\) | −13.3838 | + | 4.00173i | −0.648449 | + | 0.193884i | ||||
\(427\) | −8.20186 | − | 12.7623i | −0.396916 | − | 0.617613i | ||||
\(428\) | 7.76145 | + | 6.72534i | 0.375164 | + | 0.325081i | ||||
\(429\) | 1.78641 | + | 0.514971i | 0.0862487 | + | 0.0248630i | ||||
\(430\) | −6.08260 | − | 19.8293i | −0.293329 | − | 0.956251i | ||||
\(431\) | 3.54845 | − | 1.04192i | 0.170923 | − | 0.0501875i | −0.195151 | − | 0.980773i | \(-0.562520\pi\) |
0.366074 | + | 0.930586i | \(0.380702\pi\) | |||||||
\(432\) | 4.75804 | + | 2.08832i | 0.228921 | + | 0.100474i | ||||
\(433\) | −26.7068 | − | 7.84183i | −1.28345 | − | 0.376854i | −0.432276 | − | 0.901742i | \(-0.642289\pi\) |
−0.851172 | + | 0.524887i | \(0.824107\pi\) | |||||||
\(434\) | 5.28849 | + | 11.5802i | 0.253856 | + | 0.555867i | ||||
\(435\) | −20.1913 | − | 16.9044i | −0.968099 | − | 0.810505i | ||||
\(436\) | 12.2247i | 0.585456i | ||||||||
\(437\) | 22.0619 | + | 17.6940i | 1.05537 | + | 0.846419i | ||||
\(438\) | 0.731361 | + | 4.91437i | 0.0349458 | + | 0.234818i | ||||
\(439\) | 4.14197 | − | 28.8080i | 0.197686 | − | 1.37493i | −0.613292 | − | 0.789856i | \(-0.710155\pi\) |
0.810978 | − | 0.585077i | \(-0.198936\pi\) | |||||||
\(440\) | −0.439333 | + | 1.56571i | −0.0209444 | + | 0.0746424i | ||||
\(441\) | −11.0040 | + | 0.108659i | −0.523999 | + | 0.00517425i | ||||
\(442\) | 1.67382 | + | 1.93169i | 0.0796156 | + | 0.0918814i | ||||
\(443\) | 32.1145 | − | 9.42968i | 1.52581 | − | 0.448017i | 0.592043 | − | 0.805906i | \(-0.298321\pi\) |
0.933764 | + | 0.357889i | \(0.116503\pi\) | |||||||
\(444\) | −17.5664 | − | 7.91771i | −0.833662 | − | 0.375758i | ||||
\(445\) | −17.3451 | + | 8.17498i | −0.822236 | + | 0.387531i | ||||
\(446\) | 2.62919 | + | 2.27821i | 0.124496 | + | 0.107876i | ||||
\(447\) | 13.2835 | − | 11.6256i | 0.628289 | − | 0.549870i | ||||
\(448\) | 0.464831 | + | 3.23297i | 0.0219612 | + | 0.152744i | ||||
\(449\) | −38.0510 | + | 5.47090i | −1.79574 | + | 0.258188i | −0.957770 | − | 0.287534i | \(-0.907165\pi\) |
−0.837966 | + | 0.545722i | \(0.816255\pi\) | |||||||
\(450\) | 12.8868 | + | 7.67662i | 0.607489 | + | 0.361880i | ||||
\(451\) | −0.174643 | − | 0.151329i | −0.00822363 | − | 0.00712581i | ||||
\(452\) | 8.59593 | + | 3.92563i | 0.404319 | + | 0.184646i | ||||
\(453\) | 33.3441 | + | 15.0292i | 1.56664 | + | 0.706136i | ||||
\(454\) | −5.70685 | − | 19.4357i | −0.267836 | − | 0.912164i | ||||
\(455\) | 10.7788 | − | 0.129755i | 0.505317 | − | 0.00608303i | ||||
\(456\) | 1.40365 | − | 10.1169i | 0.0657320 | − | 0.473769i | ||||
\(457\) | 3.10118 | + | 6.79064i | 0.145067 | + | 0.317653i | 0.968192 | − | 0.250207i | \(-0.0804988\pi\) |
−0.823125 | + | 0.567860i | \(0.807771\pi\) | |||||||
\(458\) | 9.34534 | + | 1.34366i | 0.436679 | + | 0.0627850i | ||||
\(459\) | 3.85895 | + | 8.12909i | 0.180120 | + | 0.379434i | ||||
\(460\) | 8.44581 | + | 6.60819i | 0.393788 | + | 0.308109i | ||||
\(461\) | 23.1040i | 1.07606i | 0.842925 | + | 0.538030i | \(0.180831\pi\) | ||||
−0.842925 | + | 0.538030i | \(0.819169\pi\) | |||||||
\(462\) | 0.0203124 | + | 4.11419i | 0.000945017 | + | 0.191409i | ||||
\(463\) | 9.46248 | − | 4.32137i | 0.439759 | − | 0.200831i | −0.183217 | − | 0.983073i | \(-0.558651\pi\) |
0.622975 | + | 0.782242i | \(0.285924\pi\) | |||||||
\(464\) | −1.91557 | + | 6.52384i | −0.0889282 | + | 0.302862i | ||||
\(465\) | −2.40164 | − | 14.9033i | −0.111373 | − | 0.691125i | ||||
\(466\) | 11.4807 | − | 3.37105i | 0.531834 | − | 0.156161i | ||||
\(467\) | −16.4551 | + | 25.6047i | −0.761453 | + | 1.18484i | 0.216554 | + | 0.976271i | \(0.430518\pi\) |
−0.978007 | + | 0.208573i | \(0.933118\pi\) | |||||||
\(468\) | −4.38878 | − | 0.586841i | −0.202871 | − | 0.0271267i | ||||
\(469\) | 0.869283 | − | 1.00321i | 0.0401397 | − | 0.0463237i | ||||
\(470\) | 0.656263 | + | 0.0863068i | 0.0302711 | + | 0.00398104i | ||||
\(471\) | 7.96306 | + | 26.6326i | 0.366918 | + | 1.22716i | ||||
\(472\) | −8.49547 | + | 1.22146i | −0.391036 | + | 0.0562224i | ||||
\(473\) | −5.67492 | + | 3.64705i | −0.260933 | + | 0.167692i | ||||
\(474\) | −4.83061 | − | 3.07085i | −0.221877 | − | 0.141049i | ||||
\(475\) | 7.62340 | − | 28.4823i | 0.349786 | − | 1.30686i | ||||
\(476\) | −3.05804 | + | 4.75841i | −0.140165 | + | 0.218101i | ||||
\(477\) | −4.05038 | − | 6.16774i | −0.185454 | − | 0.282402i | ||||
\(478\) | −15.5939 | + | 13.5122i | −0.713251 | + | 0.618035i | ||||
\(479\) | −11.3558 | − | 3.33437i | −0.518861 | − | 0.152351i | 0.0118082 | − | 0.999930i | \(-0.496241\pi\) |
−0.530669 | + | 0.847579i | \(0.678059\pi\) | |||||||
\(480\) | 0.486034 | − | 3.84237i | 0.0221843 | − | 0.175379i | ||||
\(481\) | 16.2521 | + | 2.33670i | 0.741033 | + | 0.106544i | ||||
\(482\) | − | 9.38833i | − | 0.427627i | ||||||
\(483\) | 25.1408 | + | 10.2002i | 1.14395 | + | 0.464127i | ||||
\(484\) | −10.4711 | −0.475959 | ||||||||
\(485\) | 22.3335 | − | 19.8277i | 1.01411 | − | 0.900331i | ||||
\(486\) | −14.3353 | − | 6.12371i | −0.650261 | − | 0.277777i | ||||
\(487\) | −0.399122 | + | 1.35928i | −0.0180859 | + | 0.0615951i | −0.968042 | − | 0.250790i | \(-0.919310\pi\) |
0.949956 | + | 0.312385i | \(0.101128\pi\) | |||||||
\(488\) | 3.51024 | − | 3.04164i | 0.158901 | − | 0.137688i | ||||
\(489\) | 10.6810 | + | 23.0857i | 0.483010 | + | 1.04397i | ||||
\(490\) | 2.40541 | + | 7.84164i | 0.108666 | + | 0.354249i | ||||
\(491\) | 12.9167 | + | 5.89886i | 0.582922 | + | 0.266212i | 0.684974 | − | 0.728567i | \(-0.259813\pi\) |
−0.102052 | + | 0.994779i | \(0.532541\pi\) | |||||||
\(492\) | 0.464459 | + | 0.295260i | 0.0209395 | + | 0.0133114i | ||||
\(493\) | −9.90554 | + | 6.36591i | −0.446123 | + | 0.286706i | ||||
\(494\) | 1.23865 | + | 8.61502i | 0.0557296 | + | 0.387608i | ||||
\(495\) | 1.27156 | − | 4.70992i | 0.0571522 | − | 0.211695i | ||||
\(496\) | −3.27893 | + | 2.10724i | −0.147228 | + | 0.0946178i | ||||
\(497\) | 19.9084 | + | 17.2507i | 0.893014 | + | 0.773801i | ||||
\(498\) | −26.3927 | − | 7.60827i | −1.18269 | − | 0.340935i | ||||
\(499\) | 27.0882 | + | 17.4085i | 1.21263 | + | 0.779312i | 0.981098 | − | 0.193514i | \(-0.0619885\pi\) |
0.231536 | + | 0.972826i | \(0.425625\pi\) | |||||||
\(500\) | 2.76050 | − | 10.8342i | 0.123453 | − | 0.484520i | ||||
\(501\) | −5.65215 | − | 4.84896i | −0.252519 | − | 0.216636i | ||||
\(502\) | 23.6999 | + | 6.95893i | 1.05778 | + | 0.310592i | ||||
\(503\) | 36.7413 | − | 16.7792i | 1.63821 | − | 0.748146i | 0.638444 | − | 0.769669i | \(-0.279579\pi\) |
0.999768 | + | 0.0215221i | \(0.00685123\pi\) | |||||||
\(504\) | −1.49019 | − | 9.68467i | −0.0663785 | − | 0.431390i | ||||
\(505\) | 8.06192 | − | 9.53345i | 0.358751 | − | 0.424233i | ||||
\(506\) | 1.32720 | − | 3.22538i | 0.0590012 | − | 0.143386i | ||||
\(507\) | −18.5394 | + | 2.75905i | −0.823361 | + | 0.122534i | ||||
\(508\) | −11.0052 | − | 1.58231i | −0.488276 | − | 0.0702035i | ||||
\(509\) | −17.8004 | + | 8.12919i | −0.788991 | + | 0.360320i | −0.768811 | − | 0.639476i | \(-0.779151\pi\) |
−0.0201799 | + | 0.999796i | \(0.506424\pi\) | |||||||
\(510\) | 4.99361 | − | 4.47763i | 0.221121 | − | 0.198273i | ||||
\(511\) | 7.08087 | − | 6.13561i | 0.313239 | − | 0.271423i | ||||
\(512\) | −0.959493 | + | 0.281733i | −0.0424040 | + | 0.0124509i | ||||
\(513\) | −3.91106 | + | 30.3909i | −0.172678 | + | 1.34179i | ||||
\(514\) | −0.841392 | + | 1.84239i | −0.0371122 | + | 0.0812644i | ||||
\(515\) | 40.4686 | − | 6.31661i | 1.78326 | − | 0.278343i | ||||
\(516\) | 12.0898 | − | 10.5809i | 0.532225 | − | 0.465796i | ||||
\(517\) | −0.0306373 | − | 0.213087i | −0.00134743 | − | 0.00937156i | ||||
\(518\) | 5.17104 | + | 35.9654i | 0.227202 | + | 1.58023i | ||||
\(519\) | 20.8315 | − | 18.2314i | 0.914401 | − | 0.800271i | ||||
\(520\) | 0.508972 | + | 3.26083i | 0.0223199 | + | 0.142997i | ||||
\(521\) | −13.6630 | + | 29.9179i | −0.598588 | + | 1.31073i | 0.331522 | + | 0.943447i | \(0.392438\pi\) |
−0.930111 | + | 0.367279i | \(0.880290\pi\) | |||||||
\(522\) | 5.55319 | − | 19.6273i | 0.243056 | − | 0.859064i | ||||
\(523\) | 25.0573 | − | 7.35747i | 1.09568 | − | 0.321720i | 0.316544 | − | 0.948578i | \(-0.397478\pi\) |
0.779134 | + | 0.626858i | \(0.215659\pi\) | |||||||
\(524\) | −9.80767 | + | 8.49840i | −0.428450 | + | 0.371254i | ||||
\(525\) | −0.820528 | − | 28.2744i | −0.0358108 | − | 1.23399i | ||||
\(526\) | 18.2690 | − | 8.34319i | 0.796568 | − | 0.363780i | ||||
\(527\) | −6.68115 | − | 0.960605i | −0.291036 | − | 0.0418446i | ||||
\(528\) | −1.24591 | + | 0.185418i | −0.0542214 | + | 0.00806929i | ||||
\(529\) | −16.3391 | − | 16.1875i | −0.710395 | − | 0.703803i | ||||
\(530\) | −3.55133 | + | 4.19954i | −0.154260 | + | 0.182417i | ||||
\(531\) | 25.4490 | − | 3.91587i | 1.10439 | − | 0.169934i | ||||
\(532\) | −17.5202 | + | 8.00121i | −0.759597 | + | 0.346897i | ||||
\(533\) | −0.449989 | − | 0.132129i | −0.0194912 | − | 0.00572313i | ||||
\(534\) | −11.2730 | − | 9.67106i | −0.487829 | − | 0.418508i | ||||
\(535\) | −9.28751 | + | 21.0022i | −0.401534 | + | 0.908005i | ||||
\(536\) | 0.341896 | + | 0.219723i | 0.0147677 | + | 0.00949060i | ||||
\(537\) | −29.4190 | − | 8.48065i | −1.26952 | − | 0.365967i | ||||
\(538\) | −11.1591 | − | 9.66937i | −0.481101 | − | 0.416876i | ||||
\(539\) | 2.24419 | − | 1.44226i | 0.0966643 | − | 0.0621224i | ||||
\(540\) | −1.34421 | + | 11.5409i | −0.0578456 | + | 0.496643i | ||||
\(541\) | −2.56904 | − | 17.8681i | −0.110452 | − | 0.768209i | −0.967481 | − | 0.252942i | \(-0.918602\pi\) |
0.857030 | − | 0.515267i | \(-0.172307\pi\) | |||||||
\(542\) | 7.54262 | − | 4.84735i | 0.323983 | − | 0.208212i | ||||
\(543\) | 29.6338 | + | 18.8384i | 1.27171 | + | 0.808433i | ||||
\(544\) | −1.57527 | − | 0.719403i | −0.0675392 | − | 0.0308441i | ||||
\(545\) | −26.1334 | + | 8.01638i | −1.11943 | + | 0.343384i | ||||
\(546\) | 3.50609 | + | 7.57803i | 0.150047 | + | 0.324310i | ||||
\(547\) | −8.62440 | + | 7.47309i | −0.368753 | + | 0.319526i | −0.819450 | − | 0.573151i | \(-0.805721\pi\) |
0.450697 | + | 0.892677i | \(0.351175\pi\) | |||||||
\(548\) | −0.662036 | + | 2.25469i | −0.0282808 | + | 0.0963154i | ||||
\(549\) | −10.4401 | + | 9.22845i | −0.445572 | + | 0.393860i | ||||
\(550\) | −3.63520 | + | 0.0875341i | −0.155005 | + | 0.00373247i | ||||
\(551\) | −40.0950 | −1.70810 | ||||||||
\(552\) | −1.99573 | + | 8.06331i | −0.0849441 | + | 0.343197i | ||||
\(553\) | 10.7942i | 0.459014i | ||||||||
\(554\) | 32.3324 | + | 4.64870i | 1.37367 | + | 0.197504i | ||||
\(555\) | 5.40691 | − | 42.7446i | 0.229510 | − | 1.81441i | ||||
\(556\) | −0.879927 | − | 0.258370i | −0.0373172 | − | 0.0109573i | ||||
\(557\) | −15.3807 | + | 13.3275i | −0.651703 | + | 0.564704i | −0.916715 | − | 0.399541i | \(-0.869169\pi\) |
0.265012 | + | 0.964245i | \(0.414624\pi\) | |||||||
\(558\) | 9.77388 | − | 6.41853i | 0.413761 | − | 0.271718i | ||||
\(559\) | −7.40165 | + | 11.5172i | −0.313056 | + | 0.487125i | ||||
\(560\) | −6.60648 | + | 3.11373i | −0.279175 | + | 0.131579i | ||||
\(561\) | −1.84091 | − | 1.17028i | −0.0777232 | − | 0.0494091i | ||||
\(562\) | −4.16266 | + | 2.67518i | −0.175591 | + | 0.112846i | ||||
\(563\) | −10.7639 | + | 1.54761i | −0.453643 | + | 0.0652241i | −0.365350 | − | 0.930870i | \(-0.619051\pi\) |
−0.0882938 | + | 0.996094i | \(0.528141\pi\) | |||||||
\(564\) | 0.146876 | + | 0.491228i | 0.00618459 | + | 0.0206844i | ||||
\(565\) | −2.75522 | + | 20.9502i | −0.115913 | + | 0.881382i | ||||
\(566\) | 6.06889 | − | 7.00387i | 0.255094 | − | 0.294395i | ||||
\(567\) | 4.75724 | + | 29.0085i | 0.199785 | + | 1.21824i | ||||
\(568\) | −4.36036 | + | 6.78485i | −0.182957 | + | 0.284686i | ||||
\(569\) | 25.0014 | − | 7.34108i | 1.04811 | − | 0.307754i | 0.288059 | − | 0.957613i | \(-0.406990\pi\) |
0.760055 | + | 0.649859i | \(0.225172\pi\) | |||||||
\(570\) | 22.5480 | − | 3.63355i | 0.944430 | − | 0.152193i | ||||
\(571\) | −0.973707 | + | 3.31614i | −0.0407484 | + | 0.138776i | −0.977355 | − | 0.211607i | \(-0.932130\pi\) |
0.936607 | + | 0.350383i | \(0.113949\pi\) | |||||||
\(572\) | 0.976383 | − | 0.445899i | 0.0408246 | − | 0.0186440i | ||||
\(573\) | −0.00407656 | − | 0.825690i | −0.000170301 | − | 0.0344937i | ||||
\(574\) | − | 1.03785i | − | 0.0433190i | ||||||
\(575\) | −8.58831 | + | 22.3884i | −0.358157 | + | 0.933661i | ||||
\(576\) | 2.86999 | − | 0.873579i | 0.119583 | − | 0.0363991i | ||||
\(577\) | 28.9240 | + | 4.15865i | 1.20412 | + | 0.173127i | 0.715023 | − | 0.699101i | \(-0.246416\pi\) |
0.489100 | + | 0.872227i | \(0.337325\pi\) | |||||||
\(578\) | 5.81622 | + | 12.7357i | 0.241923 | + | 0.529737i | ||||
\(579\) | 0.787905 | − | 5.67889i | 0.0327442 | − | 0.236007i | ||||
\(580\) | −15.2025 | + | 0.183009i | −0.631250 | + | 0.00759902i | ||||
\(581\) | 14.5928 | + | 49.6987i | 0.605413 | + | 2.06185i | ||||
\(582\) | 21.0901 | + | 9.50595i | 0.874211 | + | 0.394034i | ||||
\(583\) | 1.62710 | + | 0.743071i | 0.0673875 | + | 0.0307749i | ||||
\(584\) | 2.16791 | + | 1.87851i | 0.0897088 | + | 0.0777331i | ||||
\(585\) | −1.62344 | − | 9.76695i | −0.0671208 | − | 0.403814i | ||||
\(586\) | 22.5820 | − | 3.24680i | 0.932852 | − | 0.134124i | ||||
\(587\) | 0.787458 | + | 5.47689i | 0.0325019 | + | 0.226056i | 0.999598 | − | 0.0283562i | \(-0.00902727\pi\) |
−0.967096 | + | 0.254412i | \(0.918118\pi\) | |||||||
\(588\) | −4.78102 | + | 4.18428i | −0.197166 | + | 0.172557i | ||||
\(589\) | −17.3705 | − | 15.0516i | −0.715737 | − | 0.620190i | ||||
\(590\) | −8.18212 | − | 17.3602i | −0.336852 | − | 0.714709i | ||||
\(591\) | −4.05735 | − | 1.82877i | −0.166897 | − | 0.0752258i | ||||
\(592\) | −10.6739 | + | 3.13415i | −0.438696 | + | 0.128813i | ||||
\(593\) | 21.7749 | + | 25.1296i | 0.894189 | + | 1.03195i | 0.999297 | + | 0.0374879i | \(0.0119356\pi\) |
−0.105108 | + | 0.994461i | \(0.533519\pi\) | |||||||
\(594\) | 3.73206 | − | 0.593134i | 0.153128 | − | 0.0243366i | ||||
\(595\) | −12.1776 | − | 3.41700i | −0.499234 | − | 0.140083i | ||||
\(596\) | 1.45041 | − | 10.0879i | 0.0594113 | − | 0.413215i | ||||
\(597\) | −2.29745 | − | 15.4376i | −0.0940282 | − | 0.631820i | ||||
\(598\) | −0.269129 | − | 7.07327i | −0.0110055 | − | 0.289248i | ||||
\(599\) | 17.0942i | 0.698449i | 0.937039 | + | 0.349224i | \(0.113555\pi\) | ||||
−0.937039 | + | 0.349224i | \(0.886445\pi\) | |||||||
\(600\) | 8.53275 | − | 1.48062i | 0.348348 | − | 0.0604462i | ||||
\(601\) | 4.53694 | + | 9.93452i | 0.185066 | + | 0.405237i | 0.979311 | − | 0.202359i | \(-0.0648609\pi\) |
−0.794246 | + | 0.607597i | \(0.792134\pi\) | |||||||
\(602\) | −29.0694 | − | 8.53554i | −1.18478 | − | 0.347883i | ||||
\(603\) | −1.03215 | − | 0.649010i | −0.0420323 | − | 0.0264297i | ||||
\(604\) | 20.2611 | − | 5.94918i | 0.824411 | − | 0.242069i | ||||
\(605\) | −6.86646 | − | 22.3846i | −0.279161 | − | 0.910065i | ||||
\(606\) | 9.29262 | + | 2.67880i | 0.377487 | + | 0.108819i | ||||
\(607\) | 13.4570 | + | 11.6605i | 0.546202 | + | 0.473287i | 0.883709 | − | 0.468036i | \(-0.155038\pi\) |
−0.337507 | + | 0.941323i | \(0.609584\pi\) | |||||||
\(608\) | −3.18814 | − | 4.96084i | −0.129296 | − | 0.201189i | ||||
\(609\) | −36.8531 | + | 11.0190i | −1.49336 | + | 0.446511i | ||||
\(610\) | 8.80412 | + | 5.50945i | 0.356468 | + | 0.223071i | ||||
\(611\) | −0.236209 | − | 0.367548i | −0.00955598 | − | 0.0148694i | ||||
\(612\) | 4.74690 | + | 2.11144i | 0.191882 | + | 0.0853499i | ||||
\(613\) | 16.4861 | − | 36.0995i | 0.665867 | − | 1.45805i | −0.211085 | − | 0.977468i | \(-0.567700\pi\) |
0.876952 | − | 0.480577i | \(-0.159573\pi\) | |||||||
\(614\) | 9.54336 | − | 14.8498i | 0.385138 | − | 0.599287i | ||||
\(615\) | −0.326622 | + | 1.18652i | −0.0131707 | + | 0.0478450i | ||||
\(616\) | 1.55553 | + | 1.79518i | 0.0626740 | + | 0.0723297i | ||||
\(617\) | 7.78003 | − | 26.4963i | 0.313212 | − | 1.06670i | −0.640992 | − | 0.767547i | \(-0.721477\pi\) |
0.954205 | − | 0.299155i | \(-0.0967048\pi\) | |||||||
\(618\) | 17.2842 | + | 26.6050i | 0.695271 | + | 1.07021i | ||||
\(619\) | 12.4756 | + | 1.79372i | 0.501437 | + | 0.0720958i | 0.388392 | − | 0.921494i | \(-0.373030\pi\) |
0.113045 | + | 0.993590i | \(0.463940\pi\) | |||||||
\(620\) | −6.65492 | − | 5.62771i | −0.267268 | − | 0.226014i | ||||
\(621\) | 5.74806 | − | 24.2479i | 0.230662 | − | 0.973034i | ||||
\(622\) | − | 22.6892i | − | 0.909754i | ||||||
\(623\) | −3.98609 | + | 27.7238i | −0.159699 | + | 1.11073i | ||||
\(624\) | −2.14374 | + | 1.39270i | −0.0858184 | + | 0.0557527i | ||||
\(625\) | 24.9710 | − | 1.20328i | 0.998841 | − | 0.0481313i | ||||
\(626\) | −6.80241 | − | 7.85039i | −0.271879 | − | 0.313765i | ||||
\(627\) | −3.11903 | − | 6.74145i | −0.124562 | − | 0.269228i | ||||
\(628\) | 13.5012 | + | 8.67670i | 0.538757 | + | 0.346238i | ||||
\(629\) | −17.5242 | − | 8.00303i | −0.698736 | − | 0.319102i | ||||
\(630\) | 19.7262 | − | 9.53642i | 0.785912 | − | 0.379940i | ||||
\(631\) | 24.5281 | + | 38.1665i | 0.976449 | + | 1.51938i | 0.849577 | + | 0.527465i | \(0.176857\pi\) |
0.126872 | + | 0.991919i | \(0.459506\pi\) | |||||||
\(632\) | −3.27115 | + | 0.470321i | −0.130119 | + | 0.0187083i | ||||
\(633\) | 7.98202 | + | 26.6960i | 0.317257 | + | 1.06107i | ||||
\(634\) | 2.56523 | − | 1.64857i | 0.101878 | − | 0.0654731i | ||||
\(635\) | −3.83411 | − | 24.5640i | −0.152152 | − | 0.974792i | ||||
\(636\) | −4.09346 | − | 1.18003i | −0.162316 | − | 0.0467911i | ||||
\(637\) | 2.92704 | − | 4.55457i | 0.115974 | − | 0.180459i | ||||
\(638\) | 1.39310 | + | 4.74447i | 0.0551534 | + | 0.187835i | ||||
\(639\) | 12.8795 | − | 20.4827i | 0.509504 | − | 0.810284i | ||||
\(640\) | −1.23147 | − | 1.86641i | −0.0486779 | − | 0.0737764i | ||||
\(641\) | −15.0340 | − | 32.9199i | −0.593808 | − | 1.30026i | −0.933113 | − | 0.359582i | \(-0.882919\pi\) |
0.339305 | − | 0.940676i | \(-0.389808\pi\) | |||||||
\(642\) | −17.7877 | + | 0.0878207i | −0.702025 | + | 0.00346601i | ||||
\(643\) | 21.0704 | 0.830935 | 0.415468 | − | 0.909608i | \(-0.363618\pi\) | ||||
0.415468 | + | 0.909608i | \(0.363618\pi\) | |||||||
\(644\) | 14.8511 | − | 4.98138i | 0.585213 | − | 0.196294i | ||||
\(645\) | 30.5472 | + | 18.9066i | 1.20279 | + | 0.744448i | ||||
\(646\) | 1.45335 | − | 10.1082i | 0.0571811 | − | 0.397703i | ||||
\(647\) | 11.0528 | + | 24.2022i | 0.434530 | + | 0.951487i | 0.992570 | + | 0.121674i | \(0.0388261\pi\) |
−0.558040 | + | 0.829814i | \(0.688447\pi\) | |||||||
\(648\) | −8.58368 | + | 2.70562i | −0.337199 | + | 0.106287i | ||||
\(649\) | −4.71729 | + | 4.08755i | −0.185170 | + | 0.160450i | ||||
\(650\) | −6.63710 | + | 3.22636i | −0.260328 | + | 0.126548i | ||||
\(651\) | −20.1024 | − | 9.06080i | −0.787877 | − | 0.355121i | ||||
\(652\) | 13.3588 | + | 6.10077i | 0.523172 | + | 0.238925i | ||||
\(653\) | 24.4803 | − | 28.2518i | 0.957989 | − | 1.10558i | −0.0363521 | − | 0.999339i | \(-0.511574\pi\) |
0.994341 | − | 0.106239i | \(-0.0338807\pi\) | |||||||
\(654\) | −13.9447 | − | 15.9334i | −0.545281 | − | 0.623046i | ||||
\(655\) | −24.5989 | − | 15.3935i | −0.961158 | − | 0.601475i | ||||
\(656\) | 0.314519 | − | 0.0452210i | 0.0122799 | − | 0.00176558i | ||||
\(657\) | −6.55906 | − | 5.57103i | −0.255893 | − | 0.217346i | ||||
\(658\) | 0.633155 | − | 0.730700i | 0.0246830 | − | 0.0284857i | ||||
\(659\) | 3.52585 | − | 7.72053i | 0.137347 | − | 0.300749i | −0.828443 | − | 0.560074i | \(-0.810773\pi\) |
0.965790 | + | 0.259325i | \(0.0835000\pi\) | |||||||
\(660\) | −1.21339 | − | 2.54187i | −0.0472311 | − | 0.0989420i | ||||
\(661\) | −14.1762 | − | 48.2796i | −0.551389 | − | 1.87786i | −0.473279 | − | 0.880912i | \(-0.656930\pi\) |
−0.0781093 | − | 0.996945i | \(-0.524888\pi\) | |||||||
\(662\) | −20.2113 | − | 23.3251i | −0.785534 | − | 0.906554i | ||||
\(663\) | −4.38512 | − | 0.608403i | −0.170304 | − | 0.0236284i | ||||
\(664\) | −14.4253 | + | 6.58779i | −0.559809 | + | 0.255656i | ||||
\(665\) | −28.5935 | − | 32.2071i | −1.10881 | − | 1.24894i | ||||
\(666\) | 31.9274 | − | 9.71817i | 1.23716 | − | 0.376572i | ||||
\(667\) | 32.4293 | + | 3.41008i | 1.25567 | + | 0.132039i | ||||
\(668\) | −4.29958 | −0.166356 | ||||||||
\(669\) | −6.02559 | + | 0.0297493i | −0.232963 | + | 0.00115017i | ||||
\(670\) | −0.245515 | + | 0.874973i | −0.00948506 | + | 0.0338032i | ||||
\(671\) | 0.951655 | − | 3.24104i | 0.0367382 | − | 0.125119i | ||||
\(672\) | −4.29370 | − | 3.68356i | −0.165633 | − | 0.142096i | ||||
\(673\) | 10.3983 | + | 35.4134i | 0.400825 | + | 1.36509i | 0.874773 | + | 0.484532i | \(0.161010\pi\) |
−0.473948 | + | 0.880553i | \(0.657172\pi\) | |||||||
\(674\) | −13.0322 | − | 8.37530i | −0.501982 | − | 0.322605i | ||||
\(675\) | −25.5531 | + | 4.69441i | −0.983540 | + | 0.180688i | ||||
\(676\) | −7.08663 | + | 8.17841i | −0.272563 | + | 0.314554i | ||||
\(677\) | −8.84282 | − | 13.7597i | −0.339857 | − | 0.528828i | 0.628691 | − | 0.777656i | \(-0.283591\pi\) |
−0.968548 | + | 0.248827i | \(0.919955\pi\) | |||||||
\(678\) | −15.6817 | + | 4.68880i | −0.602254 | + | 0.180072i | ||||
\(679\) | −6.20832 | − | 43.1798i | −0.238253 | − | 1.65709i | ||||
\(680\) | 0.504916 | − | 3.83929i | 0.0193626 | − | 0.147230i | ||||
\(681\) | 29.6086 | + | 18.8224i | 1.13460 | + | 0.721275i | ||||
\(682\) | −1.17753 | + | 2.57842i | −0.0450898 | + | 0.0987330i | ||||
\(683\) | −11.3707 | − | 7.30751i | −0.435088 | − | 0.279614i | 0.304707 | − | 0.952446i | \(-0.401441\pi\) |
−0.739795 | + | 0.672832i | \(0.765078\pi\) | |||||||
\(684\) | 9.71091 | + | 14.7874i | 0.371306 | + | 0.565409i | ||||
\(685\) | −5.25409 | + | 0.0632491i | −0.200749 | + | 0.00241662i | ||||
\(686\) | −10.4417 | − | 3.06595i | −0.398664 | − | 0.117058i | ||||
\(687\) | −13.7132 | + | 8.90894i | −0.523193 | + | 0.339897i | ||||
\(688\) | 1.32008 | − | 9.18133i | 0.0503274 | − | 0.350035i | ||||
\(689\) | 3.63024 | 0.138301 | ||||||||
\(690\) | −18.5461 | + | 1.02116i | −0.706037 | + | 0.0388748i | ||||
\(691\) | 22.9769 | 0.874082 | 0.437041 | − | 0.899442i | \(-0.356027\pi\) | ||||
0.437041 | + | 0.899442i | \(0.356027\pi\) | |||||||
\(692\) | 2.27457 | − | 15.8200i | 0.0864661 | − | 0.601385i | ||||
\(693\) | −4.71953 | − | 5.33919i | −0.179280 | − | 0.202819i | ||||
\(694\) | 23.1405 | + | 6.79466i | 0.878401 | + | 0.257922i | ||||
\(695\) | −0.0246840 | − | 2.05049i | −0.000936316 | − | 0.0777797i | ||||
\(696\) | −4.94503 | − | 10.6881i | −0.187441 | − | 0.405133i | ||||
\(697\) | 0.462921 | + | 0.297501i | 0.0175344 | + | 0.0112687i | ||||
\(698\) | 2.09425 | − | 4.58577i | 0.0792686 | − | 0.173574i | ||||
\(699\) | −11.1184 | + | 17.4898i | −0.420537 | + | 0.661526i | ||||
\(700\) | −10.9886 | − | 12.0812i | −0.415330 | − | 0.456626i | ||||
\(701\) | −2.66198 | − | 18.5145i | −0.100542 | − | 0.699283i | −0.976282 | − | 0.216501i | \(-0.930536\pi\) |
0.875741 | − | 0.482782i | \(-0.160374\pi\) | |||||||
\(702\) | 6.38966 | − | 4.24141i | 0.241162 | − | 0.160082i | ||||
\(703\) | −35.4666 | − | 55.1872i | −1.33765 | − | 2.08142i | ||||
\(704\) | −0.476248 | + | 0.549619i | −0.0179493 | + | 0.0207146i | ||||
\(705\) | −0.953810 | + | 0.636109i | −0.0359226 | + | 0.0239572i | ||||
\(706\) | −13.2875 | − | 8.53936i | −0.500082 | − | 0.321383i | ||||
\(707\) | −5.13800 | − | 17.4984i | −0.193234 | − | 0.658095i | ||||
\(708\) | 9.67950 | − | 11.2828i | 0.363778 | − | 0.424034i | ||||
\(709\) | −7.26287 | + | 24.7351i | −0.272763 | + | 0.928945i | 0.703197 | + | 0.710995i | \(0.251755\pi\) |
−0.975960 | + | 0.217950i | \(0.930063\pi\) | |||||||
\(710\) | −17.3637 | − | 4.87218i | −0.651647 | − | 0.182850i | ||||
\(711\) | 9.79904 | − | 1.50779i | 0.367493 | − | 0.0565466i | ||||
\(712\) | −8.57534 | −0.321375 | ||||||||
\(713\) | 12.7693 | + | 13.6513i | 0.478214 | + | 0.511244i | ||||
\(714\) | −1.44213 | − | 9.69033i | −0.0539702 | − | 0.362652i | ||||
\(715\) | 1.59349 | + | 1.79487i | 0.0595931 | + | 0.0671242i | ||||
\(716\) | −16.0793 | + | 7.34317i | −0.600912 | + | 0.274427i | ||||
\(717\) | 4.91144 | − | 35.3996i | 0.183421 | − | 1.32202i | ||||
\(718\) | 1.03639 | + | 1.19605i | 0.0386776 | + | 0.0446364i | ||||
\(719\) | 9.22894 | + | 31.4309i | 0.344181 | + | 1.17217i | 0.931781 | + | 0.363022i | \(0.118255\pi\) |
−0.587599 | + | 0.809152i | \(0.699927\pi\) | |||||||
\(720\) | 3.74950 | + | 5.56248i | 0.139736 | + | 0.207302i | ||||
\(721\) | 24.8535 | − | 54.4216i | 0.925593 | − | 2.02677i | ||||
\(722\) | 10.3299 | − | 11.9214i | 0.384439 | − | 0.443667i | ||||
\(723\) | 10.7093 | + | 12.2366i | 0.398282 | + | 0.455083i | ||||
\(724\) | 20.0672 | − | 2.88522i | 0.745790 | − | 0.107228i | ||||
\(725\) | −10.3603 | − | 32.3792i | −0.384772 | − | 1.20253i | ||||
\(726\) | 13.6478 | − | 11.9444i | 0.506519 | − | 0.443298i | ||||
\(727\) | −7.08273 | + | 8.17391i | −0.262684 | + | 0.303154i | −0.871735 | − | 0.489977i | \(-0.837005\pi\) |
0.609051 | + | 0.793131i | \(0.291550\pi\) | |||||||
\(728\) | 4.38512 | + | 2.00262i | 0.162523 | + | 0.0742219i | ||||
\(729\) | 25.6696 | − | 8.37074i | 0.950728 | − | 0.310028i | ||||
\(730\) | −2.59417 | + | 5.86630i | −0.0960144 | + | 0.217121i | ||||
\(731\) | 12.1399 | − | 10.5193i | 0.449012 | − | 0.389071i | ||||
\(732\) | −1.10558 | + | 7.96854i | −0.0408633 | + | 0.294526i | ||||
\(733\) | 1.90844 | + | 4.17890i | 0.0704898 | + | 0.154351i | 0.941597 | − | 0.336742i | \(-0.109325\pi\) |
−0.871107 | + | 0.491093i | \(0.836598\pi\) | |||||||
\(734\) | 4.85103 | − | 33.7397i | 0.179055 | − | 1.24535i | ||||
\(735\) | −12.0801 | − | 7.47679i | −0.445583 | − | 0.275785i | ||||
\(736\) | 2.15669 | + | 4.28354i | 0.0794965 | + | 0.157893i | ||||
\(737\) | 0.295564 | 0.0108872 | ||||||||
\(738\) | −0.942171 | + | 0.144973i | −0.0346818 | + | 0.00533653i | ||||
\(739\) | −6.55482 | − | 14.3531i | −0.241123 | − | 0.527986i | 0.749920 | − | 0.661529i | \(-0.230092\pi\) |
−0.991043 | + | 0.133543i | \(0.957365\pi\) | |||||||
\(740\) | −13.6995 | − | 20.7630i | −0.503604 | − | 0.763263i | ||||
\(741\) | −11.4416 | − | 9.81572i | −0.420318 | − | 0.360589i | ||||
\(742\) | 2.26332 | + | 7.70816i | 0.0830891 | + | 0.282976i | ||||
\(743\) | −11.1301 | + | 17.3188i | −0.408324 | + | 0.635364i | −0.983126 | − | 0.182928i | \(-0.941443\pi\) |
0.574802 | + | 0.818292i | \(0.305079\pi\) | |||||||
\(744\) | 1.86996 | − | 6.48681i | 0.0685561 | − | 0.237818i | ||||
\(745\) | 22.5165 | − | 3.51451i | 0.824939 | − | 0.128762i | ||||
\(746\) | −9.62282 | + | 6.18421i | −0.352316 | + | 0.226420i | ||||
\(747\) | 43.0785 | − | 20.1897i | 1.57616 | − | 0.738704i | ||||
\(748\) | −1.24661 | + | 0.179236i | −0.0455806 | + | 0.00655350i | ||||
\(749\) | 18.1351 | + | 28.2187i | 0.662640 | + | 1.03109i | ||||
\(750\) | 8.76058 | + | 17.2700i | 0.319891 | + | 0.630610i | ||||
\(751\) | −3.21312 | − | 1.46738i | −0.117249 | − | 0.0535456i | 0.355927 | − | 0.934514i | \(-0.384165\pi\) |
−0.473176 | + | 0.880968i | \(0.656892\pi\) | |||||||
\(752\) | 0.249025 | + | 0.160039i | 0.00908101 | + | 0.00583601i | ||||
\(753\) | −38.8281 | + | 17.9644i | −1.41497 | + | 0.654659i | ||||
\(754\) | 6.57175 | + | 7.58421i | 0.239329 | + | 0.276201i | ||||
\(755\) | 26.0041 | + | 39.4119i | 0.946388 | + | 1.43435i | ||||
\(756\) | 12.9896 | + | 10.9230i | 0.472427 | + | 0.397264i | ||||
\(757\) | 3.07665 | − | 21.3986i | 0.111823 | − | 0.777745i | −0.854322 | − | 0.519744i | \(-0.826027\pi\) |
0.966145 | − | 0.258000i | \(-0.0830636\pi\) | |||||||
\(758\) | 26.7233i | 0.970633i | ||||||||
\(759\) | 1.94935 | + | 5.71784i | 0.0707569 | + | 0.207544i | ||||
\(760\) | 8.51442 | − | 10.0685i | 0.308851 | − | 0.365225i | ||||
\(761\) | 20.1120 | + | 2.89166i | 0.729058 | + | 0.104823i | 0.496841 | − | 0.867841i | \(-0.334493\pi\) |
0.232217 | + | 0.972664i | \(0.425402\pi\) | |||||||
\(762\) | 16.1489 | − | 10.4913i | 0.585013 | − | 0.380059i | ||||
\(763\) | −11.2492 | + | 38.3111i | −0.407247 | + | 1.38695i | ||||
\(764\) | −0.312184 | − | 0.360280i | −0.0112944 | − | 0.0130345i | ||||
\(765\) | −1.40094 | + | 11.5323i | −0.0506513 | + | 0.416950i | ||||
\(766\) | 6.98678 | − | 10.8716i | 0.252443 | − | 0.392808i | ||||
\(767\) | −5.26239 | + | 11.5230i | −0.190014 | + | 0.416073i | ||||
\(768\) | 0.929212 | − | 1.46170i | 0.0335301 | − | 0.0527445i | ||||
\(769\) | 0.712759 | + | 1.10907i | 0.0257027 | + | 0.0399942i | 0.853867 | − | 0.520491i | \(-0.174251\pi\) |
−0.828164 | + | 0.560485i | \(0.810615\pi\) | |||||||
\(770\) | −2.81760 | + | 4.50253i | −0.101539 | + | 0.162260i | ||||
\(771\) | −1.00496 | − | 3.36111i | −0.0361929 | − | 0.121048i | ||||
\(772\) | −1.78958 | − | 2.78465i | −0.0644085 | − | 0.100222i | ||||
\(773\) | −3.24542 | − | 2.81217i | −0.116729 | − | 0.101147i | 0.594540 | − | 0.804066i | \(-0.297334\pi\) |
−0.711270 | + | 0.702919i | \(0.751880\pi\) | |||||||
\(774\) | −3.68806 | + | 27.5818i | −0.132565 | + | 0.991406i | ||||
\(775\) | 7.66666 | − | 17.9170i | 0.275395 | − | 0.643596i | ||||
\(776\) | 12.8151 | − | 3.76284i | 0.460034 | − | 0.135078i | ||||
\(777\) | −47.7655 | − | 40.9779i | −1.71358 | − | 1.47008i | ||||
\(778\) | 25.7642 | + | 7.56506i | 0.923692 | + | 0.271220i | ||||
\(779\) | 0.778396 | + | 1.70445i | 0.0278889 | + | 0.0610682i | ||||
\(780\) | −4.38302 | − | 3.66952i | −0.156937 | − | 0.131390i | ||||
\(781\) | 5.86540i | 0.209880i | ||||||||
\(782\) | −2.03519 | + | 8.05205i | −0.0727782 | + | 0.287941i | ||||
\(783\) | 15.1510 | + | 31.9164i | 0.541452 | + | 1.14060i | ||||
\(784\) | −0.522035 | + | 3.63083i | −0.0186441 | + | 0.129673i | ||||
\(785\) | −9.69518 | + | 34.5520i | −0.346036 | + | 1.23321i | ||||
\(786\) | 3.08900 | − | 22.2643i | 0.110181 | − | 0.794140i | ||||
\(787\) | −2.36241 | − | 2.72636i | −0.0842107 | − | 0.0971843i | 0.712080 | − | 0.702098i | \(-0.247753\pi\) |
−0.796291 | + | 0.604914i | \(0.793208\pi\) | |||||||
\(788\) | −2.46539 | + | 0.723903i | −0.0878258 | + | 0.0257880i | ||||
\(789\) | −14.2944 | + | 31.7139i | −0.508895 | + | 1.12904i | ||||
\(790\) | −3.15050 | − | 6.68450i | −0.112090 | − | 0.237824i | ||||
\(791\) | 23.3265 | + | 20.2126i | 0.829396 | + | 0.718676i | ||||
\(792\) | 1.41239 | − | 1.66288i | 0.0501872 | − | 0.0590880i | ||||
\(793\) | −0.975617 | − | 6.78556i | −0.0346452 | − | 0.240962i | ||||
\(794\) | −23.5649 | + | 3.38812i | −0.836288 | + | 0.120240i | ||||
\(795\) | −0.161692 | − | 9.52461i | −0.00573462 | − | 0.337803i | ||||
\(796\) | −6.81012 | − | 5.90100i | −0.241378 | − | 0.209156i | ||||
\(797\) | 16.0810 | + | 7.34397i | 0.569620 | + | 0.260137i | 0.679337 | − | 0.733826i | \(-0.262267\pi\) |
−0.109717 | + | 0.993963i | \(0.534995\pi\) | |||||||
\(798\) | 13.7085 | − | 30.4139i | 0.485276 | − | 1.07664i | ||||
\(799\) | 0.144425 | + | 0.491867i | 0.00510940 | + | 0.0174010i | ||||
\(800\) | 3.18239 | − | 3.85647i | 0.112514 | − | 0.136347i | ||||
\(801\) | 25.7248 | − | 0.254020i | 0.908940 | − | 0.00897537i | ||||
\(802\) | 13.7695 | + | 30.1509i | 0.486216 | + | 1.06467i | ||||
\(803\) | 2.06493 | + | 0.296892i | 0.0728697 | + | 0.0104771i | ||||
\(804\) | −0.696259 | + | 0.103618i | −0.0245552 | + | 0.00365433i | ||||
\(805\) | 20.3876 | + | 28.4813i | 0.718568 | + | 1.00383i | ||||
\(806\) | 5.75275i | 0.202632i | ||||||||
\(807\) | 25.5744 | − | 0.126265i | 0.900260 | − | 0.00444472i | ||||
\(808\) | 5.07899 | − | 2.31950i | 0.178678 | − | 0.0815997i | ||||
\(809\) | 9.54583 | − | 32.5101i | 0.335613 | − | 1.14299i | −0.602919 | − | 0.797803i | \(-0.705996\pi\) |
0.938532 | − | 0.345192i | \(-0.112186\pi\) | |||||||
\(810\) | −11.4127 | − | 16.5756i | −0.401003 | − | 0.582406i | ||||
\(811\) | −33.3775 | + | 9.80052i | −1.17204 | + | 0.344143i | −0.809101 | − | 0.587669i | \(-0.800046\pi\) |
−0.362942 | + | 0.931812i | \(0.618228\pi\) | |||||||
\(812\) | −12.0065 | + | 18.6824i | −0.421344 | + | 0.655625i | ||||
\(813\) | −4.30153 | + | 14.9218i | −0.150861 | + | 0.523331i | ||||
\(814\) | −5.29804 | + | 6.11427i | −0.185696 | + | 0.214305i | ||||
\(815\) | −4.28185 | + | 32.5585i | −0.149987 | + | 1.14047i | ||||
\(816\) | 2.87380 | − | 0.859259i | 0.100603 | − | 0.0300801i | ||||
\(817\) | 54.1420 | − | 7.78445i | 1.89419 | − | 0.272343i | ||||
\(818\) | 0.549515 | − | 0.353152i | 0.0192133 | − | 0.0123477i | ||||
\(819\) | −13.2140 | − | 5.87766i | −0.461736 | − | 0.205382i | ||||
\(820\) | 0.302918 | + | 0.642710i | 0.0105784 | + | 0.0224444i | ||||
\(821\) | 8.99520 | − | 13.9968i | 0.313935 | − | 0.488492i | −0.648049 | − | 0.761599i | \(-0.724415\pi\) |
0.961984 | + | 0.273107i | \(0.0880512\pi\) | |||||||
\(822\) | −1.70904 | − | 3.69390i | −0.0596096 | − | 0.128840i | ||||
\(823\) | −15.7420 | + | 13.6405i | −0.548732 | + | 0.475479i | −0.884548 | − | 0.466449i | \(-0.845533\pi\) |
0.335817 | + | 0.941927i | \(0.390988\pi\) | |||||||
\(824\) | 17.5753 | + | 5.16057i | 0.612264 | + | 0.179777i | ||||
\(825\) | 4.63820 | − | 4.26076i | 0.161481 | − | 0.148341i | ||||
\(826\) | −27.7480 | − | 3.98957i | −0.965478 | − | 0.138815i | ||||
\(827\) | − | 28.5676i | − | 0.993394i | −0.867924 | − | 0.496697i | \(-0.834546\pi\) | ||
0.867924 | − | 0.496697i | \(-0.165454\pi\) | |||||||
\(828\) | −6.59663 | − | 12.7861i | −0.229249 | − | 0.444348i | ||||
\(829\) | −13.7720 | −0.478322 | −0.239161 | − | 0.970980i | \(-0.576872\pi\) | ||||
−0.239161 | + | 0.970980i | \(0.576872\pi\) | |||||||
\(830\) | −23.5425 | − | 26.5177i | −0.817172 | − | 0.920442i | ||||
\(831\) | −47.4442 | + | 30.8226i | −1.64582 | + | 1.06922i | ||||
\(832\) | −0.415822 | + | 1.41616i | −0.0144160 | + | 0.0490965i | ||||
\(833\) | −4.80084 | + | 4.15995i | −0.166339 | + | 0.144134i | ||||
\(834\) | 1.44160 | − | 0.666979i | 0.0499186 | − | 0.0230956i | ||||
\(835\) | −2.81946 | − | 9.19144i | −0.0975716 | − | 0.318083i | ||||
\(836\) | −3.90102 | − | 1.78154i | −0.134920 | − | 0.0616157i | ||||
\(837\) | −5.41746 | + | 19.5149i | −0.187255 | + | 0.674532i | ||||
\(838\) | −21.8798 | + | 14.0613i | −0.755827 | + | 0.485740i | ||||
\(839\) | −2.77281 | − | 19.2853i | −0.0957281 | − | 0.665804i | −0.980024 | − | 0.198877i | \(-0.936270\pi\) |
0.884296 | − | 0.466926i | \(-0.154639\pi\) | |||||||
\(840\) | 5.05893 | − | 11.5944i | 0.174550 | − | 0.400044i | ||||
\(841\) | −14.4947 | + | 9.31519i | −0.499818 | + | 0.321214i | ||||
\(842\) | −2.06958 | − | 1.79331i | −0.0713226 | − | 0.0618014i | ||||
\(843\) | 2.37395 | − | 8.23513i | 0.0817633 | − | 0.283633i | ||||
\(844\) | 13.5334 | + | 8.69736i | 0.465837 | + | 0.299376i | ||||
\(845\) | −22.1305 | − | 9.78645i | −0.761312 | − | 0.336664i | ||||
\(846\) | −0.751780 | − | 0.472716i | −0.0258467 | − | 0.0162523i | ||||
\(847\) | −32.8155 | − | 9.63551i | −1.12755 | − | 0.331080i | ||||
\(848\) | −2.23733 | + | 1.02175i | −0.0768302 | + | 0.0350872i | ||||
\(849\) | 0.0792487 | + | 16.0515i | 0.00271981 | + | 0.550886i | ||||
\(850\) | 8.53856 | − | 1.43824i | 0.292870 | − | 0.0493314i | ||||
\(851\) | 23.9922 | + | 47.6525i | 0.822440 | + | 1.63351i | ||||
\(852\) | −2.05628 | − | 13.8171i | −0.0704469 | − | 0.473367i | ||||
\(853\) | 37.9732 | + | 5.45972i | 1.30018 | + | 0.186937i | 0.757407 | − | 0.652944i | \(-0.226466\pi\) |
0.542771 | + | 0.839881i | \(0.317375\pi\) | |||||||
\(854\) | 13.7997 | − | 6.30210i | 0.472215 | − | 0.215654i | ||||
\(855\) | −25.2438 | + | 30.4564i | −0.863319 | + | 1.04159i | ||||
\(856\) | −7.76145 | + | 6.72534i | −0.265281 | + | 0.229867i | ||||
\(857\) | 1.10896 | − | 0.325621i | 0.0378815 | − | 0.0111230i | −0.262737 | − | 0.964868i | \(-0.584625\pi\) |
0.300618 | + | 0.953745i | \(0.402807\pi\) | |||||||
\(858\) | −0.763962 | + | 1.69494i | −0.0260812 | + | 0.0578642i | ||||
\(859\) | 1.84217 | − | 4.03379i | 0.0628541 | − | 0.137631i | −0.875598 | − | 0.483040i | \(-0.839533\pi\) |
0.938452 | + | 0.345409i | \(0.112260\pi\) | |||||||
\(860\) | 20.4931 | − | 3.19869i | 0.698808 | − | 0.109074i | ||||
\(861\) | 1.18388 | + | 1.35271i | 0.0403464 | + | 0.0461004i | ||||
\(862\) | 0.526317 | + | 3.66062i | 0.0179264 | + | 0.124681i | ||||
\(863\) | 8.00726 | + | 55.6917i | 0.272570 | + | 1.89577i | 0.421352 | + | 0.906897i | \(0.361556\pi\) |
−0.148782 | + | 0.988870i | \(0.547535\pi\) | |||||||
\(864\) | −2.74420 | + | 4.41241i | −0.0933596 | + | 0.150113i | ||||
\(865\) | 35.3108 | − | 5.51153i | 1.20060 | − | 0.187398i | ||||
\(866\) | 11.5628 | − | 25.3190i | 0.392919 | − | 0.860373i | ||||
\(867\) | −22.1084 | − | 9.96495i | −0.750841 | − | 0.338428i | ||||
\(868\) | −12.2149 | + | 3.58663i | −0.414602 | + | 0.121738i | ||||
\(869\) | −1.81638 | + | 1.57390i | −0.0616163 | + | 0.0533908i | ||||
\(870\) | 19.6059 | − | 17.5800i | 0.664702 | − | 0.596019i | ||||
\(871\) | 0.545637 | − | 0.249184i | 0.0184882 | − | 0.00844328i | ||||
\(872\) | −12.1003 | − | 1.73975i | −0.409767 | − | 0.0589155i | ||||
\(873\) | −38.3318 | + | 11.6676i | −1.29734 | + | 0.394888i | ||||
\(874\) | −20.6536 | + | 19.3193i | −0.698620 | + | 0.653484i | ||||
\(875\) | 18.6208 | − | 31.4132i | 0.629497 | − | 1.06196i | ||||
\(876\) | −4.96843 | + | 0.0245299i | −0.167868 | + | 0.000828788i | ||||
\(877\) | −36.2487 | + | 16.5542i | −1.22403 | + | 0.558996i | −0.919343 | − | 0.393456i | \(-0.871279\pi\) |
−0.304687 | + | 0.952452i | \(0.598552\pi\) | |||||||
\(878\) | 27.9254 | + | 8.19962i | 0.942435 | + | 0.276724i | ||||
\(879\) | −25.7293 | + | 29.9911i | −0.867827 | + | 1.01157i | ||||
\(880\) | −1.48725 | − | 0.657685i | −0.0501352 | − | 0.0221706i | ||||
\(881\) | −34.2315 | − | 21.9993i | −1.15329 | − | 0.741174i | −0.182997 | − | 0.983113i | \(-0.558580\pi\) |
−0.970291 | + | 0.241940i | \(0.922216\pi\) | |||||||
\(882\) | 1.45848 | − | 10.9074i | 0.0491094 | − | 0.367272i | ||||
\(883\) | −5.05124 | − | 4.37693i | −0.169988 | − | 0.147295i | 0.565712 | − | 0.824603i | \(-0.308601\pi\) |
−0.735700 | + | 0.677307i | \(0.763147\pi\) | |||||||
\(884\) | −2.15024 | + | 1.38188i | −0.0723205 | + | 0.0464776i | ||||
\(885\) | 30.4672 | + | 13.2936i | 1.02415 | + | 0.446861i | ||||
\(886\) | 4.76332 | + | 33.1296i | 0.160027 | + | 1.11301i | ||||
\(887\) | 43.5714 | − | 28.0016i | 1.46298 | − | 0.940203i | 0.464476 | − | 0.885585i | \(-0.346243\pi\) |
0.998507 | − | 0.0546172i | \(-0.0173938\pi\) | |||||||
\(888\) | 10.3371 | − | 16.2607i | 0.346889 | − | 0.545675i | ||||
\(889\) | −33.0332 | − | 15.0858i | −1.10790 | − | 0.505961i | ||||
\(890\) | −5.62331 | − | 18.3320i | −0.188494 | − | 0.614489i | ||||
\(891\) | −4.18771 | + | 5.03025i | −0.140294 | + | 0.168520i | ||||
\(892\) | −2.62919 | + | 2.27821i | −0.0880319 | + | 0.0762801i | ||||
\(893\) | −0.491793 | + | 1.67489i | −0.0164572 | + | 0.0560481i | ||||
\(894\) | 9.61678 | + | 14.8028i | 0.321633 | + | 0.495080i | ||||
\(895\) | −26.2419 | − | 29.5583i | −0.877171 | − | 0.988024i | ||||
\(896\) | −3.26622 | −0.109117 | ||||||||
\(897\) | 8.41927 | + | 8.91217i | 0.281111 | + | 0.297569i | ||||
\(898\) | − | 38.4423i | − | 1.28284i | ||||||
\(899\) | −26.2315 | − | 3.77152i | −0.874869 | − | 0.125787i | ||||
\(900\) | −9.43247 | + | 11.6631i | −0.314416 | + | 0.388771i | ||||
\(901\) | −4.08692 | − | 1.20003i | −0.136155 | − | 0.0399787i | ||||
\(902\) | 0.174643 | − | 0.151329i | 0.00581498 | − | 0.00503871i | ||||
\(903\) | 47.6250 | − | 22.0344i | 1.58486 | − | 0.733259i | ||||
\(904\) | −5.10900 | + | 7.94976i | −0.169923 | + | 0.264405i | ||||
\(905\) | 19.3270 | + | 41.0066i | 0.642451 | + | 1.36311i | ||||
\(906\) | −19.6216 | + | 30.8659i | −0.651885 | + | 1.02545i | ||||
\(907\) | −39.9731 | + | 25.6892i | −1.32729 | + | 0.852994i | −0.995896 | − | 0.0905000i | \(-0.971153\pi\) |
−0.331389 | + | 0.943494i | \(0.607517\pi\) | |||||||
\(908\) | 20.0501 | − | 2.88277i | 0.665385 | − | 0.0956680i | ||||
\(909\) | −15.1675 | + | 7.10861i | −0.503075 | + | 0.235778i | ||||
\(910\) | −1.40554 | + | 10.6875i | −0.0465933 | + | 0.354288i | ||||
\(911\) | −27.2784 | + | 31.4810i | −0.903774 | + | 1.04301i | 0.0950953 | + | 0.995468i | \(0.469684\pi\) |
−0.998869 | + | 0.0475426i | \(0.984861\pi\) | |||||||
\(912\) | 9.81420 | + | 2.82915i | 0.324981 | + | 0.0936826i | ||||
\(913\) | −6.23520 | + | 9.70217i | −0.206355 | + | 0.321095i | ||||
\(914\) | −7.16287 | + | 2.10321i | −0.236927 | + | 0.0695679i | ||||
\(915\) | −17.7598 | + | 2.86195i | −0.587119 | + | 0.0946130i | ||||
\(916\) | −2.65996 | + | 9.05900i | −0.0878876 | + | 0.299318i | ||||
\(917\) | −38.5566 | + | 17.6082i | −1.27325 | + | 0.581474i | ||||
\(918\) | −8.59554 | + | 2.66278i | −0.283695 | + | 0.0878848i | ||||
\(919\) | − | 1.30308i | − | 0.0429847i | −0.999769 | − | 0.0214923i | \(-0.993158\pi\) | ||
0.999769 | − | 0.0214923i | \(-0.00684175\pi\) | |||||||
\(920\) | −7.74290 | + | 7.41940i | −0.255276 | + | 0.244611i | ||||
\(921\) | 4.50050 | + | 30.2410i | 0.148296 | + | 0.996475i | ||||
\(922\) | −22.8688 | − | 3.28804i | −0.753145 | − | 0.108286i | ||||
\(923\) | 4.94500 | + | 10.8280i | 0.162767 | + | 0.356409i | ||||
\(924\) | −4.07520 | − | 0.565405i | −0.134064 | − | 0.0186004i | ||||
\(925\) | 35.4027 | − | 42.9015i | 1.16403 | − | 1.41059i | ||||
\(926\) | 2.93073 | + | 9.98116i | 0.0963098 | + | 0.328001i | ||||
\(927\) | −52.8761 | − | 14.9603i | −1.73668 | − | 0.491362i | ||||
\(928\) | −6.18482 | − | 2.82451i | −0.203027 | − | 0.0927192i | ||||
\(929\) | 8.19025 | + | 7.09689i | 0.268713 | + | 0.232841i | 0.778786 | − | 0.627290i | \(-0.215836\pi\) |
−0.510072 | + | 0.860131i | \(0.670381\pi\) | |||||||
\(930\) | 15.0934 | − | 0.256229i | 0.494933 | − | 0.00840209i | ||||
\(931\) | −21.4109 | + | 3.07842i | −0.701714 | + | 0.100891i | ||||
\(932\) | 1.70286 | + | 11.8436i | 0.0557789 | + | 0.387951i | ||||
\(933\) | 25.8816 | + | 29.5727i | 0.847325 | + | 0.968165i | ||||
\(934\) | −23.0023 | − | 19.9316i | −0.752657 | − | 0.652181i | ||||
\(935\) | −1.20063 | − | 2.54741i | −0.0392648 | − | 0.0833092i | ||||
\(936\) | 1.20546 | − | 4.26059i | 0.0394016 | − | 0.139262i | ||||
\(937\) | 19.7668 | − | 5.80405i | 0.645752 | − | 0.189610i | 0.0575740 | − | 0.998341i | \(-0.481663\pi\) |
0.588178 | + | 0.808731i | \(0.299845\pi\) | |||||||
\(938\) | 0.869283 | + | 1.00321i | 0.0283831 | + | 0.0327558i | ||||
\(939\) | 17.8211 | + | 2.47254i | 0.581569 | + | 0.0806884i | ||||
\(940\) | −0.178824 | + | 0.637300i | −0.00583260 | + | 0.0207864i | ||||
\(941\) | 5.45299 | − | 37.9264i | 0.177762 | − | 1.23636i | −0.684163 | − | 0.729329i | \(-0.739832\pi\) |
0.861925 | − | 0.507035i | \(-0.169259\pi\) | |||||||
\(942\) | −27.4947 | + | 4.09180i | −0.895827 | + | 0.133318i | ||||
\(943\) | −0.484612 | − | 1.44478i | −0.0157811 | − | 0.0470485i | ||||
\(944\) | − | 8.58283i | − | 0.279347i | ||||||
\(945\) | −14.8326 | + | 34.9313i | −0.482504 | + | 1.13632i | ||||
\(946\) | −2.80230 | − | 6.13619i | −0.0911107 | − | 0.199505i | ||||
\(947\) | −14.1055 | − | 4.14174i | −0.458366 | − | 0.134588i | 0.0443948 | − | 0.999014i | \(-0.485864\pi\) |
−0.502760 | + | 0.864426i | \(0.667682\pi\) | |||||||
\(948\) | 3.72706 | − | 4.34441i | 0.121049 | − | 0.141100i | ||||
\(949\) | 4.06234 | − | 1.19281i | 0.131869 | − | 0.0387203i | ||||
\(950\) | 27.1074 | + | 11.5993i | 0.879481 | + | 0.376330i | ||||
\(951\) | −1.46294 | + | 5.07487i | −0.0474391 | + | 0.164564i | ||||
\(952\) | −4.27477 | − | 3.70411i | −0.138546 | − | 0.120051i | ||||
\(953\) | −22.3031 | − | 34.7043i | −0.722467 | − | 1.12418i | −0.987142 | − | 0.159843i | \(-0.948901\pi\) |
0.264675 | − | 0.964338i | \(-0.414735\pi\) | |||||||
\(954\) | 6.68139 | − | 3.13139i | 0.216318 | − | 0.101382i | ||||
\(955\) | 0.565473 | − | 0.903627i | 0.0182983 | − | 0.0292407i | ||||
\(956\) | −11.1554 | − | 17.3582i | −0.360793 | − | 0.561405i | ||||
\(957\) | −7.22776 | − | 4.59473i | −0.233640 | − | 0.148527i | ||||
\(958\) | 4.91654 | − | 10.7657i | 0.158846 | − | 0.347824i | ||||
\(959\) | −4.14952 | + | 6.45678i | −0.133995 | + | 0.208500i | ||||
\(960\) | 3.73409 | + | 1.02791i | 0.120517 | + | 0.0331757i | ||||
\(961\) | 10.3522 | + | 11.9470i | 0.333941 | + | 0.385388i | ||||
\(962\) | −4.62584 | + | 15.7542i | −0.149143 | + | 0.507934i | ||||
\(963\) | 23.0840 | − | 20.4049i | 0.743871 | − | 0.657540i | ||||
\(964\) | 9.29277 | + | 1.33610i | 0.299300 | + | 0.0430329i | ||||
\(965\) | 4.77936 | − | 5.65173i | 0.153853 | − | 0.181936i | ||||
\(966\) | −13.6743 | + | 23.4332i | −0.439964 | + | 0.753952i | ||||
\(967\) | 36.3789i | 1.16987i | 0.811082 | + | 0.584933i | \(0.198879\pi\) | ||||
−0.811082 | + | 0.584933i | \(0.801121\pi\) | |||||||
\(968\) | 1.49019 | − | 10.3645i | 0.0478966 | − | 0.333128i | ||||
\(969\) | 9.63621 | + | 14.8327i | 0.309560 | + | 0.476495i | ||||
\(970\) | 16.4475 | + | 24.9279i | 0.528099 | + | 0.800388i | ||||
\(971\) | −16.7981 | − | 19.3861i | −0.539078 | − | 0.622130i | 0.419225 | − | 0.907882i | \(-0.362302\pi\) |
−0.958303 | + | 0.285753i | \(0.907756\pi\) | |||||||
\(972\) | 8.10150 | − | 13.3179i | 0.259856 | − | 0.427171i | ||||
\(973\) | −2.51986 | − | 1.61942i | −0.0807831 | − | 0.0519161i | ||||
\(974\) | −1.28865 | − | 0.588506i | −0.0412909 | − | 0.0188569i | ||||
\(975\) | 4.97036 | − | 11.7761i | 0.159179 | − | 0.377138i | ||||
\(976\) | 2.51112 | + | 3.90738i | 0.0803789 | + | 0.125072i | ||||
\(977\) | 22.1530 | − | 3.18512i | 0.708738 | − | 0.101901i | 0.221487 | − | 0.975163i | \(-0.428909\pi\) |
0.487251 | + | 0.873262i | \(0.338000\pi\) | |||||||
\(978\) | −24.3708 | + | 7.28680i | −0.779292 | + | 0.233006i | ||||
\(979\) | −5.24641 | + | 3.37166i | −0.167676 | + | 0.107759i | ||||
\(980\) | −8.10415 | + | 1.26495i | −0.258878 | + | 0.0404073i | ||||
\(981\) | 36.3505 | + | 4.86057i | 1.16058 | + | 0.155186i | ||||
\(982\) | −7.67705 | + | 11.9457i | −0.244985 | + | 0.381204i | ||||
\(983\) | 1.72652 | + | 5.88000i | 0.0550676 | + | 0.187543i | 0.982434 | − | 0.186612i | \(-0.0597509\pi\) |
−0.927366 | + | 0.374155i | \(0.877933\pi\) | |||||||
\(984\) | −0.358354 | + | 0.417712i | −0.0114239 | + | 0.0133162i | ||||
\(985\) | −3.16421 | − | 4.79569i | −0.100820 | − | 0.152803i | ||||
\(986\) | −4.89141 | − | 10.7107i | −0.155774 | − | 0.341098i | ||||
\(987\) | 0.00826786 | + | 1.67462i | 0.000263169 | + | 0.0533038i | ||||
\(988\) | −8.70361 | −0.276899 | ||||||||
\(989\) | −44.4527 | + | 1.69137i | −1.41352 | + | 0.0537824i | ||||
\(990\) | 4.48102 | + | 1.92890i | 0.142416 | + | 0.0613046i | ||||
\(991\) | 2.14252 | − | 14.9016i | 0.0680595 | − | 0.473364i | −0.927078 | − | 0.374869i | \(-0.877688\pi\) |
0.995137 | − | 0.0984958i | \(-0.0314031\pi\) | |||||||
\(992\) | −1.61915 | − | 3.54544i | −0.0514080 | − | 0.112568i | ||||
\(993\) | 52.9499 | + | 7.34641i | 1.68031 | + | 0.233131i | ||||
\(994\) | −19.9084 | + | 17.2507i | −0.631456 | + | 0.547160i | ||||
\(995\) | 8.14913 | − | 18.4280i | 0.258345 | − | 0.584206i | ||||
\(996\) | 11.2869 | − | 25.0413i | 0.357639 | − | 0.793464i | ||||
\(997\) | 20.8895 | + | 9.53992i | 0.661577 | + | 0.302132i | 0.717762 | − | 0.696288i | \(-0.245166\pi\) |
−0.0561851 | + | 0.998420i | \(0.517894\pi\) | |||||||
\(998\) | −21.0864 | + | 24.3350i | −0.667478 | + | 0.770310i | ||||
\(999\) | −30.5280 | + | 49.0861i | −0.965864 | + | 1.55301i |
(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 | 690.2.n.a.659.8 | yes | 240 | |
3.2 | odd | 2 | 690.2.n.b.659.15 | yes | 240 | ||
5.4 | even | 2 | 690.2.n.b.659.17 | yes | 240 | ||
15.14 | odd | 2 | inner | 690.2.n.a.659.10 | yes | 240 | |
23.20 | odd | 22 | inner | 690.2.n.a.89.10 | yes | 240 | |
69.20 | even | 22 | 690.2.n.b.89.17 | yes | 240 | ||
115.89 | odd | 22 | 690.2.n.b.89.15 | yes | 240 | ||
345.89 | even | 22 | inner | 690.2.n.a.89.8 | ✓ | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
690.2.n.a.89.8 | ✓ | 240 | 345.89 | even | 22 | inner | |
690.2.n.a.89.10 | yes | 240 | 23.20 | odd | 22 | inner | |
690.2.n.a.659.8 | yes | 240 | 1.1 | even | 1 | trivial | |
690.2.n.a.659.10 | yes | 240 | 15.14 | odd | 2 | inner | |
690.2.n.b.89.15 | yes | 240 | 115.89 | odd | 22 | ||
690.2.n.b.89.17 | yes | 240 | 69.20 | even | 22 | ||
690.2.n.b.659.15 | yes | 240 | 3.2 | odd | 2 | ||
690.2.n.b.659.17 | yes | 240 | 5.4 | even | 2 |