Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [414,2,Mod(13,414)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(414, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([22, 42]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("414.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 414 = 2 \cdot 3^{2} \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 414.m (of order \(33\), degree \(20\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.30580664368\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{33})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{33}]$ |
Embedding invariants
Embedding label | 25.7 | ||
Character | \(\chi\) | \(=\) | 414.25 |
Dual form | 414.2.m.a.265.7 |
$q$-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 \(\left(\mathbb{Z}/414\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(235\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{1}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.888835 | − | 0.458227i | 0.628502 | − | 0.324015i | ||||
\(3\) | 0.694471 | − | 1.58673i | 0.400953 | − | 0.916099i | ||||
\(4\) | 0.580057 | − | 0.814576i | 0.290028 | − | 0.407288i | ||||
\(5\) | −0.0619918 | − | 0.255534i | −0.0277236 | − | 0.114278i | 0.956269 | − | 0.292490i | \(-0.0944839\pi\) |
−0.983992 | + | 0.178212i | \(0.942969\pi\) | |||||||
\(6\) | −0.109811 | − | 1.72857i | −0.0448301 | − | 0.705684i | ||||
\(7\) | 0.632608 | + | 1.82780i | 0.239103 | + | 0.690843i | 0.999160 | + | 0.0409864i | \(0.0130500\pi\) |
−0.760056 | + | 0.649857i | \(0.774829\pi\) | |||||||
\(8\) | 0.142315 | − | 0.989821i | 0.0503159 | − | 0.349955i | ||||
\(9\) | −2.03542 | − | 2.20388i | −0.678473 | − | 0.734625i | ||||
\(10\) | −0.172193 | − | 0.198721i | −0.0544522 | − | 0.0628412i | ||||
\(11\) | −0.231267 | − | 4.85488i | −0.0697295 | − | 1.46380i | −0.714612 | − | 0.699521i | \(-0.753397\pi\) |
0.644883 | − | 0.764282i | \(-0.276906\pi\) | |||||||
\(12\) | −0.889679 | − | 1.48609i | −0.256828 | − | 0.428998i | ||||
\(13\) | 0.857962 | − | 2.47892i | 0.237956 | − | 0.687528i | −0.761279 | − | 0.648424i | \(-0.775428\pi\) |
0.999235 | − | 0.0391043i | \(-0.0124505\pi\) | |||||||
\(14\) | 1.39983 | + | 1.33474i | 0.374120 | + | 0.356723i | ||||
\(15\) | −0.448515 | − | 0.0790966i | −0.115806 | − | 0.0204227i | ||||
\(16\) | −0.327068 | − | 0.945001i | −0.0817670 | − | 0.236250i | ||||
\(17\) | −1.80661 | + | 3.95593i | −0.438168 | + | 0.959453i | 0.553763 | + | 0.832674i | \(0.313191\pi\) |
−0.991931 | + | 0.126779i | \(0.959536\pi\) | |||||||
\(18\) | −2.81903 | − | 1.02620i | −0.664451 | − | 0.241878i | ||||
\(19\) | 2.67922 | + | 5.86668i | 0.614656 | + | 1.34591i | 0.919343 | + | 0.393457i | \(0.128721\pi\) |
−0.304687 | + | 0.952453i | \(0.598552\pi\) | |||||||
\(20\) | −0.244110 | − | 0.0977271i | −0.0545848 | − | 0.0218524i | ||||
\(21\) | 3.33955 | + | 0.265577i | 0.728750 | + | 0.0579537i | ||||
\(22\) | −2.43019 | − | 4.20922i | −0.518119 | − | 0.897409i | ||||
\(23\) | 4.16787 | − | 2.37252i | 0.869061 | − | 0.494704i | ||||
\(24\) | −1.47175 | − | 0.913218i | −0.300419 | − | 0.186410i | ||||
\(25\) | 4.38272 | − | 2.25945i | 0.876545 | − | 0.451890i | ||||
\(26\) | −0.373319 | − | 2.59649i | −0.0732139 | − | 0.509214i | ||||
\(27\) | −4.91049 | + | 1.69913i | −0.945025 | + | 0.326998i | ||||
\(28\) | 1.85583 | + | 0.544921i | 0.350719 | + | 0.102980i | ||||
\(29\) | 0.517333 | + | 0.726493i | 0.0960664 | + | 0.134906i | 0.859812 | − | 0.510612i | \(-0.170581\pi\) |
−0.763745 | + | 0.645518i | \(0.776642\pi\) | |||||||
\(30\) | −0.434900 | + | 0.135217i | −0.0794015 | + | 0.0246872i | ||||
\(31\) | −8.78980 | + | 3.51891i | −1.57870 | + | 0.632014i | −0.984981 | − | 0.172662i | \(-0.944763\pi\) |
−0.593714 | + | 0.804676i | \(0.702339\pi\) | |||||||
\(32\) | −0.723734 | − | 0.690079i | −0.127939 | − | 0.121990i | ||||
\(33\) | −7.86399 | − | 3.00462i | −1.36895 | − | 0.523037i | ||||
\(34\) | 0.206930 | + | 4.34401i | 0.0354883 | + | 0.744991i | ||||
\(35\) | 0.427848 | − | 0.274961i | 0.0723195 | − | 0.0464769i | ||||
\(36\) | −2.97588 | + | 0.379631i | −0.495981 | + | 0.0632718i | ||||
\(37\) | −8.52009 | + | 2.50172i | −1.40069 | + | 0.411281i | −0.892922 | − | 0.450211i | \(-0.851349\pi\) |
−0.507772 | + | 0.861492i | \(0.669531\pi\) | |||||||
\(38\) | 5.06966 | + | 3.98682i | 0.822407 | + | 0.646748i | ||||
\(39\) | −3.33754 | − | 3.08289i | −0.534435 | − | 0.493658i | ||||
\(40\) | −0.261755 | + | 0.0249946i | −0.0413871 | + | 0.00395199i | ||||
\(41\) | 1.46021 | + | 6.01906i | 0.228046 | + | 0.940019i | 0.964616 | + | 0.263658i | \(0.0849290\pi\) |
−0.736570 | + | 0.676361i | \(0.763556\pi\) | |||||||
\(42\) | 3.09001 | − | 1.29422i | 0.476798 | − | 0.199702i | ||||
\(43\) | 8.10910 | + | 3.24640i | 1.23663 | + | 0.495071i | 0.895548 | − | 0.444964i | \(-0.146784\pi\) |
0.341078 | + | 0.940035i | \(0.389208\pi\) | |||||||
\(44\) | −4.08882 | − | 2.62772i | −0.616413 | − | 0.396144i | ||||
\(45\) | −0.436985 | + | 0.656741i | −0.0651419 | + | 0.0979011i | ||||
\(46\) | 2.61740 | − | 4.01861i | 0.385915 | − | 0.592511i | ||||
\(47\) | 0.718318 | − | 1.24416i | 0.104777 | − | 0.181480i | −0.808870 | − | 0.587988i | \(-0.799920\pi\) |
0.913647 | + | 0.406508i | \(0.133254\pi\) | |||||||
\(48\) | −1.72660 | − | 0.137307i | −0.249213 | − | 0.0198186i | ||||
\(49\) | 2.56171 | − | 2.01455i | 0.365959 | − | 0.287793i | ||||
\(50\) | 2.86018 | − | 4.01656i | 0.404490 | − | 0.568027i | ||||
\(51\) | 5.02235 | + | 5.61388i | 0.703269 | + | 0.786100i | ||||
\(52\) | −1.52160 | − | 2.13679i | −0.211008 | − | 0.296319i | ||||
\(53\) | 5.65337 | − | 6.52434i | 0.776551 | − | 0.896187i | −0.220305 | − | 0.975431i | \(-0.570705\pi\) |
0.996855 | + | 0.0792440i | \(0.0252506\pi\) | |||||||
\(54\) | −3.58603 | + | 3.76037i | −0.487997 | + | 0.511721i | ||||
\(55\) | −1.22625 | + | 0.360060i | −0.165348 | + | 0.0485504i | ||||
\(56\) | 1.89923 | − | 0.366046i | 0.253795 | − | 0.0489149i | ||||
\(57\) | 11.1695 | − | 0.176962i | 1.47943 | − | 0.0234391i | ||||
\(58\) | 0.792722 | + | 0.408677i | 0.104090 | + | 0.0536619i | ||||
\(59\) | −1.77518 | + | 5.12904i | −0.231108 | + | 0.667744i | 0.768502 | + | 0.639847i | \(0.221002\pi\) |
−0.999611 | + | 0.0278969i | \(0.991119\pi\) | |||||||
\(60\) | −0.324594 | + | 0.319469i | −0.0419049 | + | 0.0412432i | ||||
\(61\) | 11.0915 | + | 8.72242i | 1.42012 | + | 1.11679i | 0.975227 | + | 0.221204i | \(0.0709988\pi\) |
0.444888 | + | 0.895586i | \(0.353244\pi\) | |||||||
\(62\) | −6.20023 | + | 7.15545i | −0.787430 | + | 0.908743i | ||||
\(63\) | 2.74062 | − | 5.11453i | 0.345286 | − | 0.644370i | ||||
\(64\) | −0.959493 | − | 0.281733i | −0.119937 | − | 0.0352166i | ||||
\(65\) | −0.686634 | − | 0.0655656i | −0.0851665 | − | 0.00813242i | ||||
\(66\) | −8.36659 | + | 0.932879i | −1.02986 | + | 0.114829i | ||||
\(67\) | −0.640099 | + | 13.4373i | −0.0782006 | + | 1.64163i | 0.530107 | + | 0.847931i | \(0.322152\pi\) |
−0.608308 | + | 0.793701i | \(0.708151\pi\) | |||||||
\(68\) | 2.17447 | + | 3.76628i | 0.263693 | + | 0.456729i | ||||
\(69\) | −0.870079 | − | 8.26093i | −0.104745 | − | 0.994499i | ||||
\(70\) | 0.254292 | − | 0.440447i | 0.0303937 | − | 0.0526435i | ||||
\(71\) | −6.98388 | − | 4.48827i | −0.828834 | − | 0.532659i | 0.0560733 | − | 0.998427i | \(-0.482142\pi\) |
−0.884907 | + | 0.465767i | \(0.845778\pi\) | |||||||
\(72\) | −2.47111 | + | 1.70106i | −0.291224 | + | 0.200472i | ||||
\(73\) | 1.51900 | + | 3.32615i | 0.177786 | + | 0.389296i | 0.977455 | − | 0.211145i | \(-0.0677191\pi\) |
−0.799669 | + | 0.600441i | \(0.794992\pi\) | |||||||
\(74\) | −6.42660 | + | 6.12775i | −0.747077 | + | 0.712337i | ||||
\(75\) | −0.541462 | − | 8.52332i | −0.0625226 | − | 0.984188i | ||||
\(76\) | 6.33296 | + | 1.22058i | 0.726440 | + | 0.140010i | ||||
\(77\) | 8.72745 | − | 3.49395i | 0.994586 | − | 0.398172i | ||||
\(78\) | −4.37919 | − | 1.21083i | −0.495846 | − | 0.137100i | ||||
\(79\) | −8.97354 | + | 1.72951i | −1.00960 | + | 0.194585i | −0.667128 | − | 0.744943i | \(-0.732477\pi\) |
−0.342473 | + | 0.939527i | \(0.611265\pi\) | |||||||
\(80\) | −0.221204 | + | 0.142159i | −0.0247314 | + | 0.0158939i | ||||
\(81\) | −0.714134 | + | 8.97162i | −0.0793482 | + | 0.996847i | ||||
\(82\) | 4.05598 | + | 4.68085i | 0.447908 | + | 0.516913i | ||||
\(83\) | 1.05406 | − | 4.34490i | 0.115698 | − | 0.476915i | −0.884253 | − | 0.467009i | \(-0.845332\pi\) |
0.999951 | − | 0.00990600i | \(-0.00315323\pi\) | |||||||
\(84\) | 2.15346 | − | 2.56627i | 0.234962 | − | 0.280003i | ||||
\(85\) | 1.12287 | + | 0.216415i | 0.121792 | + | 0.0234735i | ||||
\(86\) | 8.69524 | − | 0.830295i | 0.937632 | − | 0.0895330i | ||||
\(87\) | 1.51202 | − | 0.316339i | 0.162106 | − | 0.0339151i | ||||
\(88\) | −4.83838 | − | 0.462009i | −0.515773 | − | 0.0492504i | ||||
\(89\) | −1.23624 | − | 8.59823i | −0.131041 | − | 0.911410i | −0.944201 | − | 0.329370i | \(-0.893164\pi\) |
0.813160 | − | 0.582040i | \(-0.197745\pi\) | |||||||
\(90\) | −0.0874720 | + | 0.783973i | −0.00922035 | + | 0.0826380i | ||||
\(91\) | 5.07372 | 0.531871 | ||||||||
\(92\) | 0.485006 | − | 4.77124i | 0.0505654 | − | 0.497437i | ||||
\(93\) | −0.520713 | + | 16.3908i | −0.0539954 | + | 1.69965i | ||||
\(94\) | 0.0683579 | − | 1.43501i | 0.00705057 | − | 0.148010i | ||||
\(95\) | 1.33305 | − | 1.04832i | 0.136768 | − | 0.107555i | ||||
\(96\) | −1.59758 | + | 0.669130i | −0.163052 | + | 0.0682928i | ||||
\(97\) | 1.61682 | − | 1.54163i | 0.164163 | − | 0.156529i | −0.603545 | − | 0.797329i | \(-0.706246\pi\) |
0.767708 | + | 0.640800i | \(0.221397\pi\) | |||||||
\(98\) | 1.35382 | − | 2.96445i | 0.136756 | − | 0.299455i | ||||
\(99\) | −10.2288 | + | 10.3914i | −1.02804 | + | 1.04438i | ||||
\(100\) | 0.701734 | − | 4.88067i | 0.0701734 | − | 0.488067i | ||||
\(101\) | 2.55052 | − | 10.5134i | 0.253786 | − | 1.04612i | −0.692146 | − | 0.721758i | \(-0.743335\pi\) |
0.945932 | − | 0.324364i | \(-0.105150\pi\) | |||||||
\(102\) | 7.03647 | + | 2.68844i | 0.696714 | + | 0.266196i | ||||
\(103\) | −6.55357 | − | 3.37860i | −0.645742 | − | 0.332903i | 0.104054 | − | 0.994572i | \(-0.466818\pi\) |
−0.749797 | + | 0.661668i | \(0.769849\pi\) | |||||||
\(104\) | −2.33159 | − | 1.20202i | −0.228631 | − | 0.117867i | ||||
\(105\) | −0.139161 | − | 0.869832i | −0.0135807 | − | 0.0848869i | ||||
\(106\) | 2.03529 | − | 8.38959i | 0.197685 | − | 0.814869i | ||||
\(107\) | −1.63529 | + | 11.3737i | −0.158089 | + | 1.09953i | 0.744061 | + | 0.668112i | \(0.232897\pi\) |
−0.902150 | + | 0.431422i | \(0.858012\pi\) | |||||||
\(108\) | −1.46429 | + | 4.98556i | −0.140902 | + | 0.479736i | ||||
\(109\) | −1.09694 | + | 2.40197i | −0.105068 | + | 0.230067i | −0.954863 | − | 0.297046i | \(-0.903998\pi\) |
0.849795 | + | 0.527113i | \(0.176726\pi\) | |||||||
\(110\) | −0.924946 | + | 0.881934i | −0.0881901 | + | 0.0840891i | ||||
\(111\) | −1.94740 | + | 15.2564i | −0.184839 | + | 1.44808i | ||||
\(112\) | 1.52037 | − | 1.19563i | 0.143661 | − | 0.112976i | ||||
\(113\) | 0.0333176 | − | 0.699422i | 0.00313425 | − | 0.0657961i | −0.996758 | − | 0.0804541i | \(-0.974363\pi\) |
0.999893 | + | 0.0146581i | \(0.00466598\pi\) | |||||||
\(114\) | 9.84674 | − | 5.27544i | 0.922232 | − | 0.494090i | ||||
\(115\) | −0.864633 | − | 0.917955i | −0.0806274 | − | 0.0855998i | ||||
\(116\) | 0.891866 | 0.0828077 | ||||||||
\(117\) | −7.20954 | + | 3.15480i | −0.666522 | + | 0.291661i | ||||
\(118\) | 0.772421 | + | 5.37230i | 0.0711071 | + | 0.494561i | ||||
\(119\) | −8.37352 | − | 0.799574i | −0.767599 | − | 0.0732968i | ||||
\(120\) | −0.142122 | + | 0.432693i | −0.0129739 | + | 0.0394993i | ||||
\(121\) | −12.5662 | + | 1.19993i | −1.14238 | + | 0.109084i | ||||
\(122\) | 13.8553 | + | 2.67039i | 1.25440 | + | 0.241766i | ||||
\(123\) | 10.5647 | + | 1.86311i | 0.952586 | + | 0.167991i | ||||
\(124\) | −2.23217 | + | 9.20113i | −0.200455 | + | 0.826286i | ||||
\(125\) | −1.71002 | − | 1.97347i | −0.152949 | − | 0.176513i | ||||
\(126\) | 0.0923487 | − | 5.80180i | 0.00822708 | − | 0.516865i | ||||
\(127\) | 2.45742 | − | 1.57929i | 0.218061 | − | 0.140139i | −0.427050 | − | 0.904228i | \(-0.640447\pi\) |
0.645111 | + | 0.764089i | \(0.276811\pi\) | |||||||
\(128\) | −0.981929 | + | 0.189251i | −0.0867911 | + | 0.0167276i | ||||
\(129\) | 10.7827 | − | 10.6124i | 0.949363 | − | 0.934372i | ||||
\(130\) | −0.640349 | + | 0.256357i | −0.0561623 | + | 0.0224840i | ||||
\(131\) | 8.28259 | + | 1.59634i | 0.723654 | + | 0.139473i | 0.537761 | − | 0.843097i | \(-0.319270\pi\) |
0.185893 | + | 0.982570i | \(0.440482\pi\) | |||||||
\(132\) | −7.00905 | + | 4.66297i | −0.610060 | + | 0.405859i | ||||
\(133\) | −9.02822 | + | 8.60840i | −0.782846 | + | 0.746443i | ||||
\(134\) | 5.58840 | + | 12.2369i | 0.482764 | + | 1.05711i | ||||
\(135\) | 0.738596 | + | 1.14946i | 0.0635682 | + | 0.0989302i | ||||
\(136\) | 3.65855 | + | 2.35121i | 0.313718 | + | 0.201615i | ||||
\(137\) | 7.38966 | − | 12.7993i | 0.631341 | − | 1.09352i | −0.355936 | − | 0.934510i | \(-0.615838\pi\) |
0.987278 | − | 0.159005i | \(-0.0508286\pi\) | |||||||
\(138\) | −4.55873 | − | 6.94391i | −0.388065 | − | 0.591105i | ||||
\(139\) | −1.44504 | − | 2.50288i | −0.122567 | − | 0.212292i | 0.798212 | − | 0.602376i | \(-0.205779\pi\) |
−0.920779 | + | 0.390084i | \(0.872446\pi\) | |||||||
\(140\) | 0.0241994 | − | 0.508008i | 0.00204522 | − | 0.0429345i | ||||
\(141\) | −1.47530 | − | 2.00381i | −0.124243 | − | 0.168751i | ||||
\(142\) | −8.26416 | − | 0.789132i | −0.693513 | − | 0.0662225i | ||||
\(143\) | −12.2333 | − | 3.59202i | −1.02300 | − | 0.300379i | ||||
\(144\) | −1.41694 | + | 2.64429i | −0.118079 | + | 0.220358i | ||||
\(145\) | 0.153573 | − | 0.177233i | 0.0127535 | − | 0.0147184i | ||||
\(146\) | 2.87427 | + | 2.26035i | 0.237876 | + | 0.187068i | ||||
\(147\) | −1.41751 | − | 5.46379i | −0.116915 | − | 0.450646i | ||||
\(148\) | −2.90429 | + | 8.39140i | −0.238731 | + | 0.689769i | ||||
\(149\) | −2.81014 | − | 1.44873i | −0.230216 | − | 0.118684i | 0.339260 | − | 0.940693i | \(-0.389823\pi\) |
−0.569476 | + | 0.822008i | \(0.692854\pi\) | |||||||
\(150\) | −4.38688 | − | 7.32771i | −0.358187 | − | 0.598305i | ||||
\(151\) | −14.5162 | + | 2.79776i | −1.18131 | + | 0.227679i | −0.741839 | − | 0.670578i | \(-0.766046\pi\) |
−0.439471 | + | 0.898257i | \(0.644834\pi\) | |||||||
\(152\) | 6.18826 | − | 1.81704i | 0.501934 | − | 0.147381i | ||||
\(153\) | 12.3956 | − | 4.07043i | 1.00212 | − | 0.329074i | ||||
\(154\) | 6.15625 | − | 7.10469i | 0.496085 | − | 0.572513i | ||||
\(155\) | 1.44410 | + | 2.02795i | 0.115993 | + | 0.162889i | ||||
\(156\) | −4.44721 | + | 0.930430i | −0.356062 | + | 0.0744940i | ||||
\(157\) | 3.29155 | − | 4.62233i | 0.262694 | − | 0.368902i | −0.662071 | − | 0.749441i | \(-0.730322\pi\) |
0.924765 | + | 0.380539i | \(0.124262\pi\) | |||||||
\(158\) | −7.18349 | + | 5.64916i | −0.571488 | + | 0.449423i | ||||
\(159\) | −6.42626 | − | 13.5013i | −0.509635 | − | 1.07073i | ||||
\(160\) | −0.131473 | + | 0.227718i | −0.0103938 | + | 0.0180027i | ||||
\(161\) | 6.97312 | + | 6.11716i | 0.549559 | + | 0.482100i | ||||
\(162\) | 3.47629 | + | 8.30153i | 0.273123 | + | 0.652230i | ||||
\(163\) | −16.2371 | − | 10.4349i | −1.27179 | − | 0.817328i | −0.281936 | − | 0.959433i | \(-0.590977\pi\) |
−0.989852 | + | 0.142105i | \(0.954613\pi\) | |||||||
\(164\) | 5.74998 | + | 2.30195i | 0.448998 | + | 0.179752i | ||||
\(165\) | −0.280278 | + | 2.19578i | −0.0218196 | + | 0.170941i | ||||
\(166\) | −1.05406 | − | 4.34490i | −0.0818110 | − | 0.337230i | ||||
\(167\) | −21.8928 | + | 2.09051i | −1.69412 | + | 0.161769i | −0.896993 | − | 0.442046i | \(-0.854253\pi\) |
−0.797125 | + | 0.603814i | \(0.793647\pi\) | |||||||
\(168\) | 0.738142 | − | 3.26776i | 0.0569489 | − | 0.252113i | ||||
\(169\) | 4.80975 | + | 3.78243i | 0.369981 | + | 0.290956i | ||||
\(170\) | 1.09721 | − | 0.322171i | 0.0841523 | − | 0.0247094i | ||||
\(171\) | 7.47609 | − | 17.8458i | 0.571711 | − | 1.36471i | ||||
\(172\) | 7.34818 | − | 4.72239i | 0.560293 | − | 0.360079i | ||||
\(173\) | 0.815699 | + | 17.1236i | 0.0620164 | + | 1.30188i | 0.788643 | + | 0.614852i | \(0.210784\pi\) |
−0.726626 | + | 0.687033i | \(0.758913\pi\) | |||||||
\(174\) | 1.19898 | − | 0.974021i | 0.0908946 | − | 0.0738404i | ||||
\(175\) | 6.90237 | + | 6.58139i | 0.521770 | + | 0.497507i | ||||
\(176\) | −4.51223 | + | 1.80642i | −0.340122 | + | 0.136164i | ||||
\(177\) | 6.90558 | + | 6.37869i | 0.519056 | + | 0.479452i | ||||
\(178\) | −5.03875 | − | 7.07593i | −0.377670 | − | 0.530364i | ||||
\(179\) | −22.7884 | − | 6.69127i | −1.70328 | − | 0.500129i | −0.721868 | − | 0.692031i | \(-0.756716\pi\) |
−0.981414 | + | 0.191902i | \(0.938534\pi\) | |||||||
\(180\) | 0.281489 | + | 0.736905i | 0.0209809 | + | 0.0549256i | ||||
\(181\) | −0.612673 | − | 4.26123i | −0.0455396 | − | 0.316735i | −0.999840 | − | 0.0178860i | \(-0.994306\pi\) |
0.954300 | − | 0.298849i | \(-0.0966027\pi\) | |||||||
\(182\) | 4.50970 | − | 2.32491i | 0.334282 | − | 0.172334i | ||||
\(183\) | 21.5428 | − | 11.5417i | 1.59249 | − | 0.853185i | ||||
\(184\) | −1.75522 | − | 4.46309i | −0.129397 | − | 0.329024i | ||||
\(185\) | 1.16745 | + | 2.02208i | 0.0858327 | + | 0.148667i | ||||
\(186\) | 7.04788 | + | 14.8073i | 0.516776 | + | 1.08573i | ||||
\(187\) | 19.6234 | + | 7.85601i | 1.43500 | + | 0.574489i | ||||
\(188\) | −0.596800 | − | 1.30681i | −0.0435261 | − | 0.0953089i | ||||
\(189\) | −6.21209 | − | 7.90052i | −0.451863 | − | 0.574678i | ||||
\(190\) | 0.704491 | − | 1.54262i | 0.0511091 | − | 0.111913i | ||||
\(191\) | −3.49985 | − | 10.1122i | −0.253240 | − | 0.731690i | −0.997932 | − | 0.0642811i | \(-0.979525\pi\) |
0.744691 | − | 0.667409i | \(-0.232597\pi\) | |||||||
\(192\) | −1.11337 | + | 1.32680i | −0.0803508 | + | 0.0957536i | ||||
\(193\) | −5.74348 | − | 5.47640i | −0.413425 | − | 0.394200i | 0.454620 | − | 0.890685i | \(-0.349775\pi\) |
−0.868045 | + | 0.496486i | \(0.834624\pi\) | |||||||
\(194\) | 0.730667 | − | 2.11112i | 0.0524588 | − | 0.151570i | ||||
\(195\) | −0.580883 | + | 1.04397i | −0.0415979 | + | 0.0747602i | ||||
\(196\) | −0.155067 | − | 3.25526i | −0.0110762 | − | 0.232519i | ||||
\(197\) | −6.53994 | − | 7.54749i | −0.465951 | − | 0.537736i | 0.473330 | − | 0.880885i | \(-0.343052\pi\) |
−0.939281 | + | 0.343149i | \(0.888506\pi\) | |||||||
\(198\) | −4.33013 | + | 13.9234i | −0.307729 | + | 0.989491i | ||||
\(199\) | −1.99578 | + | 13.8810i | −0.141477 | + | 0.983997i | 0.788147 | + | 0.615488i | \(0.211041\pi\) |
−0.929624 | + | 0.368509i | \(0.879868\pi\) | |||||||
\(200\) | −1.61273 | − | 4.65967i | −0.114037 | − | 0.329488i | ||||
\(201\) | 20.8769 | + | 10.3475i | 1.47254 | + | 0.729857i | ||||
\(202\) | −2.55052 | − | 10.5134i | −0.179454 | − | 0.739720i | ||||
\(203\) | −1.00061 | + | 1.40517i | −0.0702294 | + | 0.0986234i | ||||
\(204\) | 7.48618 | − | 0.834712i | 0.524137 | − | 0.0584415i | ||||
\(205\) | 1.44755 | − | 0.746265i | 0.101101 | − | 0.0521214i | ||||
\(206\) | −7.37321 | −0.513716 | ||||||||
\(207\) | −13.7121 | − | 4.35640i | −0.953057 | − | 0.302791i | ||||
\(208\) | −2.62319 | −0.181886 | ||||||||
\(209\) | 27.8624 | − | 14.3641i | 1.92729 | − | 0.993585i | ||||
\(210\) | −0.522271 | − | 0.709370i | −0.0360401 | − | 0.0489512i | ||||
\(211\) | 8.14379 | − | 11.4363i | 0.560641 | − | 0.787311i | −0.432820 | − | 0.901480i | \(-0.642481\pi\) |
0.993461 | + | 0.114170i | \(0.0364208\pi\) | |||||||
\(212\) | −2.03529 | − | 8.38959i | −0.139784 | − | 0.576199i | ||||
\(213\) | −11.9718 | + | 7.96455i | −0.820292 | + | 0.545722i | ||||
\(214\) | 3.75822 | + | 10.8587i | 0.256906 | + | 0.742282i | ||||
\(215\) | 0.326866 | − | 2.27340i | 0.0222921 | − | 0.155045i | ||||
\(216\) | 0.983001 | + | 5.10232i | 0.0668848 | + | 0.347169i | ||||
\(217\) | −11.9924 | − | 13.8399i | −0.814094 | − | 0.939515i | ||||
\(218\) | 0.125645 | + | 2.63760i | 0.00850972 | + | 0.178641i | ||||
\(219\) | 6.33260 | − | 0.100329i | 0.427917 | − | 0.00677963i | ||||
\(220\) | −0.417999 | + | 1.20773i | −0.0281815 | + | 0.0814251i | ||||
\(221\) | 8.25642 | + | 7.87248i | 0.555387 | + | 0.529560i | ||||
\(222\) | 5.25999 | + | 14.4528i | 0.353028 | + | 0.970010i | ||||
\(223\) | −9.25257 | − | 26.7335i | −0.619598 | − | 1.79021i | −0.612807 | − | 0.790233i | \(-0.709960\pi\) |
−0.00679089 | − | 0.999977i | \(-0.502162\pi\) | |||||||
\(224\) | 0.803487 | − | 1.75939i | 0.0536852 | − | 0.117554i | ||||
\(225\) | −13.9002 | − | 5.06004i | −0.926682 | − | 0.337336i | ||||
\(226\) | −0.290880 | − | 0.636938i | −0.0193490 | − | 0.0423685i | ||||
\(227\) | −12.6586 | − | 5.06774i | −0.840181 | − | 0.336358i | −0.0886558 | − | 0.996062i | \(-0.528257\pi\) |
−0.751525 | + | 0.659705i | \(0.770681\pi\) | |||||||
\(228\) | 6.33479 | − | 9.20104i | 0.419531 | − | 0.609354i | ||||
\(229\) | 6.92182 | + | 11.9889i | 0.457406 | + | 0.792251i | 0.998823 | − | 0.0485032i | \(-0.0154451\pi\) |
−0.541417 | + | 0.840755i | \(0.682112\pi\) | |||||||
\(230\) | −1.18915 | − | 0.419714i | −0.0784101 | − | 0.0276751i | ||||
\(231\) | 0.517019 | − | 16.2746i | 0.0340174 | − | 1.07079i | ||||
\(232\) | 0.792722 | − | 0.408677i | 0.0520448 | − | 0.0268309i | ||||
\(233\) | 0.892223 | + | 6.20555i | 0.0584515 | + | 0.406539i | 0.997951 | + | 0.0639878i | \(0.0203819\pi\) |
−0.939499 | + | 0.342551i | \(0.888709\pi\) | |||||||
\(234\) | −4.96248 | + | 6.10770i | −0.324408 | + | 0.399273i | ||||
\(235\) | −0.362455 | − | 0.106427i | −0.0236440 | − | 0.00694250i | ||||
\(236\) | 3.14829 | + | 4.42115i | 0.204936 | + | 0.287792i | ||||
\(237\) | −3.48760 | + | 15.4397i | −0.226544 | + | 1.00291i | ||||
\(238\) | −7.80907 | + | 3.12628i | −0.506187 | + | 0.202647i | ||||
\(239\) | 2.91345 | + | 2.77797i | 0.188456 | + | 0.179692i | 0.778433 | − | 0.627728i | \(-0.216015\pi\) |
−0.589977 | + | 0.807420i | \(0.700863\pi\) | |||||||
\(240\) | 0.0719484 | + | 0.449717i | 0.00464425 | + | 0.0290291i | ||||
\(241\) | −0.493701 | − | 10.3641i | −0.0318021 | − | 0.667608i | −0.957342 | − | 0.288958i | \(-0.906691\pi\) |
0.925540 | − | 0.378650i | \(-0.123612\pi\) | |||||||
\(242\) | −10.6195 | + | 6.82471i | −0.682645 | + | 0.438709i | ||||
\(243\) | 13.7396 | + | 7.36367i | 0.881395 | + | 0.472380i | ||||
\(244\) | 13.5387 | − | 3.97533i | 0.866729 | − | 0.254495i | ||||
\(245\) | −0.673591 | − | 0.529718i | −0.0430342 | − | 0.0338424i | ||||
\(246\) | 10.2440 | − | 3.18502i | 0.653133 | − | 0.203070i | ||||
\(247\) | 16.8417 | − | 1.60819i | 1.07161 | − | 0.102327i | ||||
\(248\) | 2.23217 | + | 9.20113i | 0.141743 | + | 0.584272i | ||||
\(249\) | −6.16217 | − | 4.68992i | −0.390511 | − | 0.297212i | ||||
\(250\) | −2.42423 | − | 0.970514i | −0.153322 | − | 0.0613807i | ||||
\(251\) | 17.2331 | + | 11.0750i | 1.08774 | + | 0.699050i | 0.956333 | − | 0.292279i | \(-0.0944134\pi\) |
0.131409 | + | 0.991328i | \(0.458050\pi\) | |||||||
\(252\) | −2.57646 | − | 5.19916i | −0.162301 | − | 0.327516i | ||||
\(253\) | −12.4822 | − | 19.6858i | −0.784749 | − | 1.23764i | ||||
\(254\) | 1.46057 | − | 2.52978i | 0.0916444 | − | 0.158733i | ||||
\(255\) | 1.12319 | − | 1.63139i | 0.0703370 | − | 0.102162i | ||||
\(256\) | −0.786053 | + | 0.618159i | −0.0491283 | + | 0.0386349i | ||||
\(257\) | −14.2697 | + | 20.0390i | −0.890122 | + | 1.25000i | 0.0773456 | + | 0.997004i | \(0.475356\pi\) |
−0.967467 | + | 0.252997i | \(0.918584\pi\) | |||||||
\(258\) | 4.72114 | − | 14.3736i | 0.293926 | − | 0.894862i | ||||
\(259\) | −9.96252 | − | 13.9904i | −0.619041 | − | 0.869322i | ||||
\(260\) | −0.451695 | + | 0.521284i | −0.0280129 | + | 0.0323287i | ||||
\(261\) | 0.548109 | − | 2.61886i | 0.0339271 | − | 0.162103i | ||||
\(262\) | 8.09335 | − | 2.37642i | 0.500009 | − | 0.146816i | ||||
\(263\) | −15.2525 | + | 2.93969i | −0.940512 | + | 0.181269i | −0.636393 | − | 0.771365i | \(-0.719574\pi\) |
−0.304119 | + | 0.952634i | \(0.598362\pi\) | |||||||
\(264\) | −4.09320 | + | 7.35635i | −0.251919 | + | 0.452752i | ||||
\(265\) | −2.01765 | − | 1.04017i | −0.123943 | − | 0.0638973i | ||||
\(266\) | −4.08001 | + | 11.7884i | −0.250162 | + | 0.722794i | ||||
\(267\) | −14.5016 | − | 4.00965i | −0.887483 | − | 0.245386i | ||||
\(268\) | 10.5744 | + | 8.31583i | 0.645937 | + | 0.507970i | ||||
\(269\) | 0.0371009 | − | 0.0428167i | 0.00226208 | − | 0.00261058i | −0.754617 | − | 0.656165i | \(-0.772178\pi\) |
0.756879 | + | 0.653554i | \(0.226723\pi\) | |||||||
\(270\) | 1.18321 | + | 0.683241i | 0.0720076 | + | 0.0415807i | ||||
\(271\) | 7.83263 | + | 2.29987i | 0.475799 | + | 0.139707i | 0.510835 | − | 0.859679i | \(-0.329336\pi\) |
−0.0350361 | + | 0.999386i | \(0.511155\pi\) | |||||||
\(272\) | 4.32924 | + | 0.413392i | 0.262499 | + | 0.0250656i | ||||
\(273\) | 3.52355 | − | 8.05062i | 0.213255 | − | 0.487246i | ||||
\(274\) | 0.703228 | − | 14.7626i | 0.0424836 | − | 0.891840i | ||||
\(275\) | −11.9829 | − | 20.7551i | −0.722599 | − | 1.25158i | ||||
\(276\) | −7.23385 | − | 4.08306i | −0.435427 | − | 0.245772i | ||||
\(277\) | 3.55213 | − | 6.15248i | 0.213427 | − | 0.369667i | −0.739358 | − | 0.673313i | \(-0.764871\pi\) |
0.952785 | + | 0.303646i | \(0.0982041\pi\) | |||||||
\(278\) | −2.43129 | − | 1.56250i | −0.145819 | − | 0.0937122i | ||||
\(279\) | 25.6462 | + | 12.2092i | 1.53540 | + | 0.730945i | ||||
\(280\) | −0.211273 | − | 0.462624i | −0.0126260 | − | 0.0276471i | ||||
\(281\) | 8.46984 | − | 8.07597i | 0.505268 | − | 0.481772i | −0.394037 | − | 0.919095i | \(-0.628922\pi\) |
0.899305 | + | 0.437323i | \(0.144073\pi\) | |||||||
\(282\) | −2.22950 | − | 1.10504i | −0.132765 | − | 0.0658040i | ||||
\(283\) | −3.26763 | − | 0.629785i | −0.194241 | − | 0.0374368i | 0.0912029 | − | 0.995832i | \(-0.470929\pi\) |
−0.285444 | + | 0.958396i | \(0.592141\pi\) | |||||||
\(284\) | −7.70708 | + | 3.08545i | −0.457331 | + | 0.183088i | ||||
\(285\) | −0.737636 | − | 2.84321i | −0.0436938 | − | 0.168417i | ||||
\(286\) | −12.5193 | + | 2.41290i | −0.740284 | + | 0.142678i | ||||
\(287\) | −10.0779 | + | 6.47667i | −0.594879 | + | 0.382306i | ||||
\(288\) | −0.0477457 | + | 2.99962i | −0.00281344 | + | 0.176754i | ||||
\(289\) | −1.25288 | − | 1.44590i | −0.0736989 | − | 0.0850530i | ||||
\(290\) | 0.0552884 | − | 0.227902i | 0.00324665 | − | 0.0133829i | ||||
\(291\) | −1.32332 | − | 3.63607i | −0.0775743 | − | 0.213150i | ||||
\(292\) | 3.59051 | + | 0.692013i | 0.210118 | + | 0.0404970i | ||||
\(293\) | −13.3223 | + | 1.27212i | −0.778296 | + | 0.0743183i | −0.476640 | − | 0.879099i | \(-0.658145\pi\) |
−0.301656 | + | 0.953417i | \(0.597539\pi\) | |||||||
\(294\) | −3.76359 | − | 4.20687i | −0.219497 | − | 0.245350i | ||||
\(295\) | 1.42069 | + | 0.135659i | 0.0827157 | + | 0.00789839i | ||||
\(296\) | 1.26372 | + | 8.78940i | 0.0734525 | + | 0.510873i | ||||
\(297\) | 9.38472 | + | 23.4469i | 0.544557 | + | 1.36053i | ||||
\(298\) | −3.16160 | −0.183146 | ||||||||
\(299\) | −2.30541 | − | 12.3673i | −0.133325 | − | 0.715222i | ||||
\(300\) | −7.25697 | − | 4.50295i | −0.418981 | − | 0.259978i | ||||
\(301\) | −0.803880 | + | 16.8755i | −0.0463349 | + | 0.972689i | ||||
\(302\) | −11.6205 | + | 9.13845i | −0.668684 | + | 0.525859i | ||||
\(303\) | −14.9106 | − | 11.3482i | −0.856594 | − | 0.651939i | ||||
\(304\) | 4.66773 | − | 4.45067i | 0.267713 | − | 0.255264i | ||||
\(305\) | 1.54129 | − | 3.37496i | 0.0882542 | − | 0.193250i | ||||
\(306\) | 9.15246 | − | 9.29792i | 0.523211 | − | 0.531527i | ||||
\(307\) | 1.91513 | − | 13.3200i | 0.109302 | − | 0.760215i | −0.859277 | − | 0.511511i | \(-0.829086\pi\) |
0.968579 | − | 0.248704i | \(-0.0800048\pi\) | |||||||
\(308\) | 2.21634 | − | 9.13586i | 0.126287 | − | 0.520564i | ||||
\(309\) | −9.91219 | + | 8.05240i | −0.563885 | + | 0.458085i | ||||
\(310\) | 2.21282 | + | 1.14079i | 0.125680 | + | 0.0647925i | ||||
\(311\) | 7.47274 | + | 3.85247i | 0.423740 | + | 0.218453i | 0.656888 | − | 0.753988i | \(-0.271872\pi\) |
−0.233148 | + | 0.972441i | \(0.574903\pi\) | |||||||
\(312\) | −3.52649 | + | 2.86483i | −0.199648 | + | 0.162189i | ||||
\(313\) | 3.91398 | − | 16.1336i | 0.221231 | − | 0.911928i | −0.747589 | − | 0.664162i | \(-0.768789\pi\) |
0.968820 | − | 0.247766i | \(-0.0796963\pi\) | |||||||
\(314\) | 0.807569 | − | 5.61677i | 0.0455738 | − | 0.316973i | ||||
\(315\) | −1.47683 | − | 0.383262i | −0.0832100 | − | 0.0215944i | ||||
\(316\) | −3.79635 | + | 8.31284i | −0.213561 | + | 0.467634i | ||||
\(317\) | −10.6936 | + | 10.1964i | −0.600615 | + | 0.572685i | −0.928174 | − | 0.372145i | \(-0.878622\pi\) |
0.327560 | + | 0.944831i | \(0.393774\pi\) | |||||||
\(318\) | −11.8986 | − | 9.05579i | −0.667238 | − | 0.507823i | ||||
\(319\) | 3.40740 | − | 2.67961i | 0.190778 | − | 0.150029i | ||||
\(320\) | −0.0125115 | + | 0.262648i | −0.000699412 | + | 0.0146825i | ||||
\(321\) | 16.9113 | + | 10.4934i | 0.943895 | + | 0.585687i | ||||
\(322\) | 9.00100 | + | 2.24188i | 0.501606 | + | 0.124935i | ||||
\(323\) | −28.0485 | −1.56066 | ||||||||
\(324\) | 6.89383 | + | 5.78577i | 0.382991 | + | 0.321432i | ||||
\(325\) | −1.84078 | − | 12.8029i | −0.102108 | − | 0.710179i | ||||
\(326\) | −19.2137 | − | 1.83468i | −1.06415 | − | 0.101614i | ||||
\(327\) | 3.04948 | + | 3.40865i | 0.168637 | + | 0.188499i | ||||
\(328\) | 6.16560 | − | 0.588744i | 0.340438 | − | 0.0325079i | ||||
\(329\) | 2.72849 | + | 0.525874i | 0.150427 | + | 0.0289924i | ||||
\(330\) | 0.757042 | + | 2.08012i | 0.0416738 | + | 0.114507i | ||||
\(331\) | 1.57109 | − | 6.47614i | 0.0863551 | − | 0.355961i | −0.912197 | − | 0.409752i | \(-0.865615\pi\) |
0.998552 | + | 0.0537911i | \(0.0171305\pi\) | |||||||
\(332\) | −2.92784 | − | 3.37890i | −0.160686 | − | 0.185441i | ||||
\(333\) | 22.8554 | + | 13.6852i | 1.25247 | + | 0.749942i | ||||
\(334\) | −18.5012 | + | 11.8900i | −1.01234 | + | 0.650591i | ||||
\(335\) | 3.47337 | − | 0.669438i | 0.189771 | − | 0.0365753i | ||||
\(336\) | −0.841290 | − | 3.24274i | −0.0458961 | − | 0.176906i | ||||
\(337\) | 18.3444 | − | 7.34400i | 0.999285 | − | 0.400053i | 0.186398 | − | 0.982474i | \(-0.440319\pi\) |
0.812887 | + | 0.582421i | \(0.197894\pi\) | |||||||
\(338\) | 6.00828 | + | 1.15800i | 0.326808 | + | 0.0629870i | ||||
\(339\) | −1.08665 | − | 0.538594i | −0.0590190 | − | 0.0292524i | ||||
\(340\) | 0.827614 | − | 0.789128i | 0.0448837 | − | 0.0427965i | ||||
\(341\) | 19.1167 | + | 41.8597i | 1.03523 | + | 2.26683i | ||||
\(342\) | −1.53242 | − | 19.2878i | −0.0828638 | − | 1.04296i | ||||
\(343\) | 16.6927 | + | 10.7277i | 0.901321 | + | 0.579244i | ||||
\(344\) | 4.36740 | − | 7.56456i | 0.235474 | − | 0.407853i | ||||
\(345\) | −2.05701 | + | 0.734445i | −0.110746 | + | 0.0395412i | ||||
\(346\) | 8.57152 | + | 14.8463i | 0.460808 | + | 0.798142i | ||||
\(347\) | −1.36372 | + | 28.6279i | −0.0732081 | + | 1.53683i | 0.601578 | + | 0.798814i | \(0.294539\pi\) |
−0.674786 | + | 0.738013i | \(0.735764\pi\) | |||||||
\(348\) | 0.619375 | − | 1.41515i | 0.0332020 | − | 0.0758600i | ||||
\(349\) | 33.5575 | + | 3.20435i | 1.79629 | + | 0.171525i | 0.939139 | − | 0.343537i | \(-0.111625\pi\) |
0.857153 | + | 0.515062i | \(0.172231\pi\) | |||||||
\(350\) | 9.15084 | + | 2.68693i | 0.489133 | + | 0.143622i | ||||
\(351\) | −0.00100757 | + | 13.6305i | −5.37802e−5 | + | 0.727543i | ||||
\(352\) | −3.18288 | + | 3.67324i | −0.169648 | + | 0.195784i | ||||
\(353\) | −16.3155 | − | 12.8306i | −0.868386 | − | 0.682906i | 0.0811032 | − | 0.996706i | \(-0.474156\pi\) |
−0.949489 | + | 0.313799i | \(0.898398\pi\) | |||||||
\(354\) | 9.06081 | + | 2.50529i | 0.481577 | + | 0.133155i | ||||
\(355\) | −0.713960 | + | 2.06285i | −0.0378931 | + | 0.109485i | ||||
\(356\) | −7.72100 | − | 3.98045i | −0.409212 | − | 0.210963i | ||||
\(357\) | −7.08388 | + | 12.7312i | −0.374918 | + | 0.673808i | ||||
\(358\) | −23.3212 | + | 4.49480i | −1.23256 | + | 0.237557i | ||||
\(359\) | 22.8498 | − | 6.70932i | 1.20597 | − | 0.354104i | 0.383837 | − | 0.923401i | \(-0.374603\pi\) |
0.822132 | + | 0.569297i | \(0.192784\pi\) | |||||||
\(360\) | 0.587867 | + | 0.526001i | 0.0309833 | + | 0.0277227i | ||||
\(361\) | −14.7974 | + | 17.0771i | −0.778809 | + | 0.898793i | ||||
\(362\) | −2.49717 | − | 3.50679i | −0.131249 | − | 0.184313i | ||||
\(363\) | −6.82291 | + | 20.7725i | −0.358110 | + | 1.09027i | ||||
\(364\) | 2.94305 | − | 4.13293i | 0.154258 | − | 0.216625i | ||||
\(365\) | 0.755777 | − | 0.594350i | 0.0395592 | − | 0.0311097i | ||||
\(366\) | 13.8593 | − | 20.1301i | 0.724438 | − | 1.05222i | ||||
\(367\) | 3.16321 | − | 5.47885i | 0.165118 | − | 0.285993i | −0.771579 | − | 0.636134i | \(-0.780533\pi\) |
0.936697 | + | 0.350140i | \(0.113866\pi\) | |||||||
\(368\) | −3.60521 | − | 3.16267i | −0.187935 | − | 0.164865i | ||||
\(369\) | 10.2931 | − | 15.4694i | 0.535838 | − | 0.805306i | ||||
\(370\) | 1.96424 | + | 1.26234i | 0.102116 | + | 0.0656261i | ||||
\(371\) | 15.5016 | + | 6.20589i | 0.804801 | + | 0.322194i | ||||
\(372\) | 13.0495 | + | 9.93177i | 0.676586 | + | 0.514938i | ||||
\(373\) | 0.917653 | + | 3.78262i | 0.0475143 | + | 0.195857i | 0.990622 | − | 0.136631i | \(-0.0436273\pi\) |
−0.943108 | + | 0.332487i | \(0.892112\pi\) | |||||||
\(374\) | 21.0418 | − | 2.00925i | 1.08804 | − | 0.103896i | ||||
\(375\) | −4.31893 | + | 1.34282i | −0.223028 | + | 0.0693432i | ||||
\(376\) | −1.12927 | − | 0.888069i | −0.0582377 | − | 0.0457987i | ||||
\(377\) | 2.24477 | − | 0.659124i | 0.115611 | − | 0.0339466i | ||||
\(378\) | −9.14175 | − | 4.17572i | −0.470201 | − | 0.214776i | ||||
\(379\) | −10.6163 | + | 6.82270i | −0.545324 | + | 0.350458i | −0.784118 | − | 0.620612i | \(-0.786884\pi\) |
0.238794 | + | 0.971070i | \(0.423248\pi\) | |||||||
\(380\) | −0.0806929 | − | 1.69395i | −0.00413946 | − | 0.0868979i | ||||
\(381\) | −0.799295 | − | 4.99603i | −0.0409491 | − | 0.255954i | ||||
\(382\) | −7.74445 | − | 7.38432i | −0.396241 | − | 0.377815i | ||||
\(383\) | −4.98127 | + | 1.99420i | −0.254531 | + | 0.101899i | −0.495419 | − | 0.868654i | \(-0.664986\pi\) |
0.240888 | + | 0.970553i | \(0.422561\pi\) | |||||||
\(384\) | −0.381631 | + | 1.68948i | −0.0194750 | + | 0.0862161i | ||||
\(385\) | −1.43385 | − | 2.01356i | −0.0730759 | − | 0.102621i | ||||
\(386\) | −7.61444 | − | 2.23580i | −0.387565 | − | 0.113799i | ||||
\(387\) | −9.35078 | − | 24.4792i | −0.475327 | − | 1.24435i | ||||
\(388\) | −0.317930 | − | 2.21125i | −0.0161405 | − | 0.112259i | ||||
\(389\) | −13.8458 | + | 7.13799i | −0.702008 | + | 0.361910i | −0.771987 | − | 0.635638i | \(-0.780737\pi\) |
0.0699789 | + | 0.997548i | \(0.477707\pi\) | |||||||
\(390\) | −0.0379346 | + | 1.19409i | −0.00192089 | + | 0.0604652i | ||||
\(391\) | 1.85579 | + | 20.7740i | 0.0938512 | + | 1.05059i | ||||
\(392\) | −1.62948 | − | 2.82234i | −0.0823010 | − | 0.142550i | ||||
\(393\) | 8.28498 | − | 12.0336i | 0.417922 | − | 0.607016i | ||||
\(394\) | −9.27139 | − | 3.71170i | −0.467086 | − | 0.186993i | ||||
\(395\) | 0.998234 | + | 2.18583i | 0.0502266 | + | 0.109981i | ||||
\(396\) | 2.53129 | + | 14.3598i | 0.127202 | + | 0.721606i | ||||
\(397\) | 8.47664 | − | 18.5613i | 0.425430 | − | 0.931563i | −0.568616 | − | 0.822603i | \(-0.692521\pi\) |
0.994046 | − | 0.108959i | \(-0.0347519\pi\) | |||||||
\(398\) | 4.58671 | + | 13.2524i | 0.229911 | + | 0.664284i | ||||
\(399\) | 7.38935 | + | 20.3036i | 0.369930 | + | 1.01645i | ||||
\(400\) | −3.56863 | − | 3.40268i | −0.178432 | − | 0.170134i | ||||
\(401\) | −3.04238 | + | 8.79038i | −0.151929 | + | 0.438971i | −0.995123 | − | 0.0986385i | \(-0.968551\pi\) |
0.843194 | + | 0.537609i | \(0.180672\pi\) | |||||||
\(402\) | 23.2976 | − | 0.369112i | 1.16198 | − | 0.0184096i | ||||
\(403\) | 1.18177 | + | 24.8083i | 0.0588679 | + | 1.23579i | ||||
\(404\) | −7.08451 | − | 8.17596i | −0.352468 | − | 0.406769i | ||||
\(405\) | 2.33682 | − | 0.373682i | 0.116118 | − | 0.0185684i | ||||
\(406\) | −0.245497 | + | 1.70747i | −0.0121838 | + | 0.0847403i | ||||
\(407\) | 14.1160 | + | 40.7855i | 0.699704 | + | 2.02166i | ||||
\(408\) | 6.27149 | − | 4.17229i | 0.310485 | − | 0.206559i | ||||
\(409\) | −2.68719 | − | 11.0767i | −0.132873 | − | 0.547710i | −0.998864 | − | 0.0476503i | \(-0.984827\pi\) |
0.865991 | − | 0.500059i | \(-0.166688\pi\) | |||||||
\(410\) | 0.944677 | − | 1.32661i | 0.0466543 | − | 0.0655168i | ||||
\(411\) | −15.1771 | − | 20.6141i | −0.748629 | − | 1.01682i | ||||
\(412\) | −6.55357 | + | 3.37860i | −0.322871 | + | 0.166452i | ||||
\(413\) | −10.4978 | −0.516565 | ||||||||
\(414\) | −14.1840 | + | 2.41113i | −0.697107 | + | 0.118500i | ||||
\(415\) | −1.17561 | −0.0577085 | ||||||||
\(416\) | −2.33159 | + | 1.20202i | −0.114315 | + | 0.0589337i | ||||
\(417\) | −4.97494 | + | 0.554707i | −0.243624 | + | 0.0271641i | ||||
\(418\) | 18.1831 | − | 25.5346i | 0.889366 | − | 1.24894i | ||||
\(419\) | 3.26316 | + | 13.4509i | 0.159416 | + | 0.657121i | 0.994293 | + | 0.106685i | \(0.0340235\pi\) |
−0.834877 | + | 0.550437i | \(0.814461\pi\) | |||||||
\(420\) | −0.789265 | − | 0.391195i | −0.0385122 | − | 0.0190884i | ||||
\(421\) | −6.20636 | − | 17.9321i | −0.302480 | − | 0.873958i | −0.989140 | − | 0.146979i | \(-0.953045\pi\) |
0.686660 | − | 0.726979i | \(-0.259076\pi\) | |||||||
\(422\) | 1.99805 | − | 13.8967i | 0.0972634 | − | 0.676482i | ||||
\(423\) | −4.20406 | + | 0.949310i | −0.204408 | + | 0.0461571i | ||||
\(424\) | −5.65337 | − | 6.52434i | −0.274552 | − | 0.316850i | ||||
\(425\) | 1.02035 | + | 21.4197i | 0.0494940 | + | 1.03901i | ||||
\(426\) | −6.99136 | + | 12.5650i | −0.338732 | + | 0.608774i | ||||
\(427\) | −8.92629 | + | 25.7908i | −0.431974 | + | 1.24811i | ||||
\(428\) | 8.31616 | + | 7.92944i | 0.401977 | + | 0.383284i | ||||
\(429\) | −14.1952 | + | 16.9164i | −0.685352 | + | 0.816729i | ||||
\(430\) | −0.751203 | − | 2.17046i | −0.0362262 | − | 0.104669i | ||||
\(431\) | −4.32036 | + | 9.46028i | −0.208105 | + | 0.455686i | −0.984687 | − | 0.174330i | \(-0.944224\pi\) |
0.776583 | + | 0.630015i | \(0.216951\pi\) | |||||||
\(432\) | 3.21175 | + | 4.08469i | 0.154525 | + | 0.196525i | ||||
\(433\) | −0.618309 | − | 1.35391i | −0.0297140 | − | 0.0650646i | 0.894193 | − | 0.447682i | \(-0.147750\pi\) |
−0.923907 | + | 0.382617i | \(0.875023\pi\) | |||||||
\(434\) | −17.0010 | − | 6.80619i | −0.816076 | − | 0.326708i | ||||
\(435\) | −0.174568 | − | 0.366762i | −0.00836991 | − | 0.0175849i | ||||
\(436\) | 1.32030 | + | 2.28682i | 0.0632308 | + | 0.109519i | ||||
\(437\) | 25.0855 | + | 18.0951i | 1.20000 | + | 0.865605i | ||||
\(438\) | 5.58266 | − | 2.99094i | 0.266750 | − | 0.142913i | ||||
\(439\) | −31.0255 | + | 15.9947i | −1.48076 | + | 0.763387i | −0.993920 | − | 0.110102i | \(-0.964882\pi\) |
−0.486844 | + | 0.873489i | \(0.661852\pi\) | |||||||
\(440\) | 0.181881 | + | 1.26501i | 0.00867084 | + | 0.0603070i | ||||
\(441\) | −9.65398 | − | 1.54523i | −0.459713 | − | 0.0735826i | ||||
\(442\) | 10.9460 | + | 3.21403i | 0.520647 | + | 0.152876i | ||||
\(443\) | 2.11602 | + | 2.97154i | 0.100535 | + | 0.141182i | 0.861779 | − | 0.507284i | \(-0.169350\pi\) |
−0.761244 | + | 0.648466i | \(0.775411\pi\) | |||||||
\(444\) | 11.2979 | + | 10.4359i | 0.536176 | + | 0.495266i | ||||
\(445\) | −2.12050 | + | 0.848921i | −0.100521 | + | 0.0402427i | ||||
\(446\) | −20.4740 | − | 19.5219i | −0.969473 | − | 0.924391i | ||||
\(447\) | −4.25030 | + | 3.45283i | −0.201032 | + | 0.163313i | ||||
\(448\) | −0.0920319 | − | 1.93199i | −0.00434810 | − | 0.0912778i | ||||
\(449\) | 34.1953 | − | 21.9760i | 1.61378 | − | 1.03711i | 0.653945 | − | 0.756542i | \(-0.273113\pi\) |
0.959834 | − | 0.280570i | \(-0.0905235\pi\) | |||||||
\(450\) | −14.6737 | + | 1.87191i | −0.691723 | + | 0.0882425i | ||||
\(451\) | 28.8841 | − | 8.48114i | 1.36010 | − | 0.399361i | ||||
\(452\) | −0.550406 | − | 0.432844i | −0.0258889 | − | 0.0203593i | ||||
\(453\) | −5.64177 | + | 24.9762i | −0.265074 | + | 1.17348i | ||||
\(454\) | −13.5736 | + | 1.29612i | −0.637040 | + | 0.0608299i | ||||
\(455\) | −0.314529 | − | 1.29651i | −0.0147454 | − | 0.0607812i | ||||
\(456\) | 1.41442 | − | 11.0810i | 0.0662364 | − | 0.518914i | ||||
\(457\) | −28.9062 | − | 11.5723i | −1.35218 | − | 0.541330i | −0.421385 | − | 0.906882i | \(-0.638456\pi\) |
−0.930791 | + | 0.365552i | \(0.880880\pi\) | |||||||
\(458\) | 11.6460 | + | 7.48443i | 0.544182 | + | 0.349725i | ||||
\(459\) | 2.14971 | − | 22.4952i | 0.100340 | − | 1.04999i | ||||
\(460\) | −1.24928 | + | 0.171843i | −0.0582480 | + | 0.00801221i | ||||
\(461\) | 0.377232 | − | 0.653385i | 0.0175694 | − | 0.0304312i | −0.857107 | − | 0.515138i | \(-0.827741\pi\) |
0.874676 | + | 0.484707i | \(0.161074\pi\) | |||||||
\(462\) | −6.99789 | − | 14.7023i | −0.325571 | − | 0.684013i | ||||
\(463\) | −0.864616 | + | 0.679942i | −0.0401821 | + | 0.0315996i | −0.638048 | − | 0.769997i | \(-0.720258\pi\) |
0.597866 | + | 0.801596i | \(0.296015\pi\) | |||||||
\(464\) | 0.517333 | − | 0.726493i | 0.0240166 | − | 0.0337266i | ||||
\(465\) | 4.22069 | − | 0.883037i | 0.195730 | − | 0.0409499i | ||||
\(466\) | 3.63659 | + | 5.10687i | 0.168462 | + | 0.236571i | ||||
\(467\) | −9.27065 | + | 10.6989i | −0.428995 | + | 0.495086i | −0.928556 | − | 0.371192i | \(-0.878949\pi\) |
0.499561 | + | 0.866278i | \(0.333495\pi\) | |||||||
\(468\) | −1.61212 | + | 7.70268i | −0.0745203 | + | 0.356057i | ||||
\(469\) | −24.9657 | + | 7.33059i | −1.15281 | + | 0.338495i | ||||
\(470\) | −0.370931 | + | 0.0714910i | −0.0171098 | + | 0.00329764i | ||||
\(471\) | −5.04851 | − | 8.43287i | −0.232623 | − | 0.388566i | ||||
\(472\) | 4.82420 | + | 2.48705i | 0.222052 | + | 0.114476i | ||||
\(473\) | 13.8855 | − | 40.1195i | 0.638456 | − | 1.84470i | ||||
\(474\) | 3.97496 | + | 15.3214i | 0.182576 | + | 0.703737i | ||||
\(475\) | 24.9978 | + | 19.6585i | 1.14698 | + | 0.901992i | ||||
\(476\) | −5.50843 | + | 6.35707i | −0.252479 | + | 0.291376i | ||||
\(477\) | −25.8858 | + | 0.820440i | −1.18523 | + | 0.0375654i | ||||
\(478\) | 3.86252 | + | 1.13414i | 0.176668 | + | 0.0518743i | ||||
\(479\) | −8.49340 | − | 0.811021i | −0.388073 | − | 0.0370565i | −0.100804 | − | 0.994906i | \(-0.532141\pi\) |
−0.287269 | + | 0.957850i | \(0.592747\pi\) | |||||||
\(480\) | 0.270022 | + | 0.366755i | 0.0123248 | + | 0.0167400i | ||||
\(481\) | −1.10834 | + | 23.2670i | −0.0505361 | + | 1.06088i | ||||
\(482\) | −5.18791 | − | 8.98572i | −0.236303 | − | 0.409288i | ||||
\(483\) | 14.5489 | − | 6.81626i | 0.661998 | − | 0.310150i | ||||
\(484\) | −6.31169 | + | 10.9322i | −0.286895 | + | 0.496917i | ||||
\(485\) | −0.494168 | − | 0.317582i | −0.0224390 | − | 0.0144207i | ||||
\(486\) | 15.5865 | + | 0.249246i | 0.707016 | + | 0.0113060i | ||||
\(487\) | 6.16363 | + | 13.4965i | 0.279301 | + | 0.611583i | 0.996343 | − | 0.0854469i | \(-0.0272318\pi\) |
−0.717042 | + | 0.697030i | \(0.754505\pi\) | |||||||
\(488\) | 10.2121 | − | 9.73723i | 0.462281 | − | 0.440784i | ||||
\(489\) | −27.8336 | + | 18.5171i | −1.25868 | + | 0.837372i | ||||
\(490\) | −0.841443 | − | 0.162175i | −0.0380125 | − | 0.00732631i | ||||
\(491\) | 21.4935 | − | 8.60469i | 0.969987 | − | 0.388324i | 0.168080 | − | 0.985773i | \(-0.446243\pi\) |
0.801907 | + | 0.597449i | \(0.203819\pi\) | |||||||
\(492\) | 7.64576 | − | 7.52503i | 0.344698 | − | 0.339255i | ||||
\(493\) | −3.80857 | + | 0.734042i | −0.171529 | + | 0.0330596i | ||||
\(494\) | 14.2326 | − | 9.14673i | 0.640355 | − | 0.411531i | ||||
\(495\) | 3.28946 | + | 1.96963i | 0.147850 | + | 0.0885283i | ||||
\(496\) | 6.20023 | + | 7.15545i | 0.278399 | + | 0.321289i | ||||
\(497\) | 3.78560 | − | 15.6044i | 0.169807 | − | 0.699955i | ||||
\(498\) | −7.62620 | − | 1.34490i | −0.341738 | − | 0.0602663i | ||||
\(499\) | 40.3652 | + | 7.77976i | 1.80700 | + | 0.348270i | 0.977613 | − | 0.210411i | \(-0.0674803\pi\) |
0.829383 | + | 0.558681i | \(0.188692\pi\) | |||||||
\(500\) | −2.59945 | + | 0.248218i | −0.116251 | + | 0.0111006i | ||||
\(501\) | −11.8869 | + | 36.1898i | −0.531066 | + | 1.61684i | ||||
\(502\) | 20.3922 | + | 1.94722i | 0.910151 | + | 0.0869088i | ||||
\(503\) | 1.78332 | + | 12.4033i | 0.0795145 | + | 0.553036i | 0.990170 | + | 0.139869i | \(0.0446682\pi\) |
−0.910655 | + | 0.413167i | \(0.864423\pi\) | |||||||
\(504\) | −4.67244 | − | 3.44060i | −0.208127 | − | 0.153256i | ||||
\(505\) | −2.84464 | −0.126585 | ||||||||
\(506\) | −20.1152 | − | 11.7778i | −0.894229 | − | 0.523587i | ||||
\(507\) | 9.34192 | − | 5.00498i | 0.414889 | − | 0.222279i | ||||
\(508\) | 0.138994 | − | 2.91783i | 0.00616684 | − | 0.129458i | ||||
\(509\) | 12.4491 | − | 9.79006i | 0.551796 | − | 0.433937i | −0.302933 | − | 0.953012i | \(-0.597966\pi\) |
0.854729 | + | 0.519075i | \(0.173723\pi\) | |||||||
\(510\) | 0.250785 | − | 1.96472i | 0.0111049 | − | 0.0869991i | ||||
\(511\) | −5.11860 | + | 4.88058i | −0.226434 | + | 0.215904i | ||||
\(512\) | −0.415415 | + | 0.909632i | −0.0183589 | + | 0.0402004i | ||||
\(513\) | −23.1246 | − | 24.2560i | −1.02098 | − | 1.07093i | ||||
\(514\) | −3.50103 | + | 24.3502i | −0.154424 | + | 1.07404i | ||||
\(515\) | −0.457079 | + | 1.88410i | −0.0201413 | + | 0.0830235i | ||||
\(516\) | −2.39005 | − | 14.9391i | −0.105216 | − | 0.657659i | ||||
\(517\) | −6.20639 | − | 3.19962i | −0.272957 | − | 0.140719i | ||||
\(518\) | −15.2658 | − | 7.87008i | −0.670742 | − | 0.345791i | ||||
\(519\) | 27.7370 | + | 10.5976i | 1.21752 | + | 0.465182i | ||||
\(520\) | −0.162617 | + | 0.670314i | −0.00713121 | + | 0.0293952i | ||||
\(521\) | −2.30670 | + | 16.0435i | −0.101058 | + | 0.702877i | 0.874802 | + | 0.484481i | \(0.160992\pi\) |
−0.975860 | + | 0.218396i | \(0.929918\pi\) | |||||||
\(522\) | −0.712850 | − | 2.57889i | −0.0312006 | − | 0.112875i | ||||
\(523\) | −6.86616 | + | 15.0348i | −0.300236 | + | 0.657426i | −0.998280 | − | 0.0586297i | \(-0.981327\pi\) |
0.698044 | + | 0.716055i | \(0.254054\pi\) | |||||||
\(524\) | 6.10472 | − | 5.82083i | 0.266686 | − | 0.254284i | ||||
\(525\) | 15.2364 | − | 6.38160i | 0.664970 | − | 0.278516i | ||||
\(526\) | −12.2100 | + | 9.60201i | −0.532379 | + | 0.418668i | ||||
\(527\) | 1.95922 | − | 41.1291i | 0.0853450 | − | 1.79161i | ||||
\(528\) | −0.267307 | + | 8.41419i | −0.0116330 | + | 0.366181i | ||||
\(529\) | 11.7423 | − | 19.7767i | 0.510535 | − | 0.859857i | ||||
\(530\) | −2.27000 | −0.0986023 | ||||||||
\(531\) | 14.9170 | − | 6.52747i | 0.647342 | − | 0.283268i | ||||
\(532\) | 1.77531 | + | 12.3475i | 0.0769693 | + | 0.535333i | ||||
\(533\) | 16.1736 | + | 1.54439i | 0.700555 | + | 0.0668949i | ||||
\(534\) | −14.7269 | + | 3.08110i | −0.637293 | + | 0.133332i | ||||
\(535\) | 3.00773 | − | 0.287204i | 0.130036 | − | 0.0124169i | ||||
\(536\) | 13.2095 | + | 2.54592i | 0.570562 | + | 0.109967i | ||||
\(537\) | −26.4431 | + | 31.5121i | −1.14110 | + | 1.35985i | ||||
\(538\) | 0.0133568 | − | 0.0550577i | 0.000575854 | − | 0.00237370i | ||||
\(539\) | −10.3729 | − | 11.9709i | −0.446790 | − | 0.515624i | ||||
\(540\) | 1.36475 | + | 0.0651124i | 0.0587297 | + | 0.00280199i | ||||
\(541\) | −12.9616 | + | 8.32994i | −0.557264 | + | 0.358132i | −0.788758 | − | 0.614704i | \(-0.789275\pi\) |
0.231493 | + | 0.972837i | \(0.425639\pi\) | |||||||
\(542\) | 8.01578 | − | 1.54492i | 0.344307 | − | 0.0663598i | ||||
\(543\) | −7.18691 | − | 1.98716i | −0.308420 | − | 0.0852771i | ||||
\(544\) | 4.03741 | − | 1.61633i | 0.173102 | − | 0.0692998i | ||||
\(545\) | 0.681786 | + | 0.131403i | 0.0292045 | + | 0.00562870i | ||||
\(546\) | −0.557150 | − | 8.77027i | −0.0238438 | − | 0.375333i | ||||
\(547\) | 15.0691 | − | 14.3683i | 0.644307 | − | 0.614346i | −0.295790 | − | 0.955253i | \(-0.595583\pi\) |
0.940097 | + | 0.340907i | \(0.110734\pi\) | |||||||
\(548\) | −6.13955 | − | 13.4437i | −0.262269 | − | 0.574288i | ||||
\(549\) | −3.35265 | − | 42.1980i | −0.143087 | − | 1.80096i | ||||
\(550\) | −20.1614 | − | 12.9569i | −0.859685 | − | 0.552486i | ||||
\(551\) | −2.87605 | + | 4.98147i | −0.122524 | + | 0.212218i | ||||
\(552\) | −8.30067 | − | 0.314431i | −0.353300 | − | 0.0133831i | ||||
\(553\) | −8.83792 | − | 15.3077i | −0.375827 | − | 0.650951i | ||||
\(554\) | 0.338035 | − | 7.09622i | 0.0143617 | − | 0.301490i | ||||
\(555\) | 4.01926 | − | 0.448149i | 0.170608 | − | 0.0190229i | ||||
\(556\) | −2.87699 | − | 0.274720i | −0.122012 | − | 0.0116507i | ||||
\(557\) | 19.6214 | + | 5.76137i | 0.831387 | + | 0.244117i | 0.669612 | − | 0.742711i | \(-0.266460\pi\) |
0.161774 | + | 0.986828i | \(0.448278\pi\) | |||||||
\(558\) | 28.3898 | − | 0.899803i | 1.20184 | − | 0.0380917i | ||||
\(559\) | 15.0049 | − | 17.3165i | 0.634638 | − | 0.732411i | ||||
\(560\) | −0.399774 | − | 0.314386i | −0.0168935 | − | 0.0132852i | ||||
\(561\) | 26.0932 | − | 25.6812i | 1.10166 | − | 1.08426i | ||||
\(562\) | 3.82767 | − | 11.0593i | 0.161460 | − | 0.466509i | ||||
\(563\) | −9.87661 | − | 5.09174i | −0.416249 | − | 0.214591i | 0.237363 | − | 0.971421i | \(-0.423717\pi\) |
−0.653612 | + | 0.756830i | \(0.726747\pi\) | |||||||
\(564\) | −2.48801 | + | 0.0394184i | −0.104764 | + | 0.00165981i | ||||
\(565\) | −0.180791 | + | 0.0348447i | −0.00760595 | + | 0.00146593i | ||||
\(566\) | −3.19297 | + | 0.937541i | −0.134211 | + | 0.0394078i | ||||
\(567\) | −16.8501 | + | 4.37022i | −0.707638 | + | 0.183532i | ||||
\(568\) | −5.43649 | + | 6.27405i | −0.228110 | + | 0.263253i | ||||
\(569\) | −21.8657 | − | 30.7061i | −0.916659 | − | 1.28727i | −0.957599 | − | 0.288105i | \(-0.906975\pi\) |
0.0409401 | − | 0.999162i | \(-0.486965\pi\) | |||||||
\(570\) | −1.95847 | − | 2.18914i | −0.0820313 | − | 0.0916930i | ||||
\(571\) | −8.96342 | + | 12.5874i | −0.375107 | + | 0.526764i | −0.958374 | − | 0.285516i | \(-0.907835\pi\) |
0.583267 | + | 0.812281i | \(0.301774\pi\) | |||||||
\(572\) | −10.0220 | + | 7.88136i | −0.419040 | + | 0.329536i | ||||
\(573\) | −18.4758 | − | 1.46928i | −0.771838 | − | 0.0613802i | ||||
\(574\) | −5.98981 | + | 10.3747i | −0.250010 | + | 0.433030i | ||||
\(575\) | 12.9060 | − | 19.8152i | 0.538219 | − | 0.826351i | ||||
\(576\) | 1.33207 | + | 2.68805i | 0.0555028 | + | 0.112002i | ||||
\(577\) | 2.95213 | + | 1.89722i | 0.122899 | + | 0.0789824i | 0.600646 | − | 0.799515i | \(-0.294910\pi\) |
−0.477747 | + | 0.878497i | \(0.658546\pi\) | |||||||
\(578\) | −1.77616 | − | 0.711065i | −0.0738783 | − | 0.0295764i | ||||
\(579\) | −12.6782 | + | 5.31015i | −0.526890 | + | 0.220682i | ||||
\(580\) | −0.0552884 | − | 0.227902i | −0.00229573 | − | 0.00946311i | ||||
\(581\) | 8.60842 | − | 0.822004i | 0.357137 | − | 0.0341025i | ||||
\(582\) | −2.84235 | − | 2.62548i | −0.117819 | − | 0.108830i | ||||
\(583\) | −32.9823 | − | 25.9376i | −1.36599 | − | 1.07423i | ||||
\(584\) | 3.50847 | − | 1.03018i | 0.145181 | − | 0.0426291i | ||||
\(585\) | 1.25309 | + | 1.64671i | 0.0518089 | + | 0.0680831i | ||||
\(586\) | −11.2584 | + | 7.23533i | −0.465080 | + | 0.298889i | ||||
\(587\) | 1.84173 | + | 38.6626i | 0.0760163 | + | 1.59578i | 0.638932 | + | 0.769263i | \(0.279377\pi\) |
−0.562916 | + | 0.826514i | \(0.690320\pi\) | |||||||
\(588\) | −5.27291 | − | 2.01464i | −0.217451 | − | 0.0830822i | ||||
\(589\) | −44.1942 | − | 42.1390i | −1.82099 | − | 1.73631i | ||||
\(590\) | 1.32492 | − | 0.530418i | 0.0545461 | − | 0.0218370i | ||||
\(591\) | −16.5176 | + | 5.13559i | −0.679444 | + | 0.211250i | ||||
\(592\) | 5.15078 | + | 7.23326i | 0.211696 | + | 0.297285i | ||||
\(593\) | −29.5236 | − | 8.66890i | −1.21239 | − | 0.355989i | −0.387811 | − | 0.921739i | \(-0.626769\pi\) |
−0.824577 | + | 0.565750i | \(0.808587\pi\) | |||||||
\(594\) | 19.0855 | + | 16.5401i | 0.783086 | + | 0.678650i | ||||
\(595\) | 0.314772 | + | 2.18928i | 0.0129044 | + | 0.0897519i | ||||
\(596\) | −2.81014 | + | 1.44873i | −0.115108 | + | 0.0593422i | ||||
\(597\) | 20.6394 | + | 12.8067i | 0.844712 | + | 0.524144i | ||||
\(598\) | −7.71617 | − | 9.93614i | −0.315538 | − | 0.406319i | ||||
\(599\) | −0.120095 | − | 0.208010i | −0.00490694 | − | 0.00849907i | 0.863562 | − | 0.504244i | \(-0.168229\pi\) |
−0.868468 | + | 0.495744i | \(0.834895\pi\) | |||||||
\(600\) | −8.51362 | − | 0.677044i | −0.347567 | − | 0.0276402i | ||||
\(601\) | 34.7034 | + | 13.8931i | 1.41558 | + | 0.566713i | 0.948294 | − | 0.317393i | \(-0.102807\pi\) |
0.467287 | + | 0.884106i | \(0.345232\pi\) | |||||||
\(602\) | 7.01829 | + | 15.3679i | 0.286044 | + | 0.626350i | ||||
\(603\) | 30.9171 | − | 25.9399i | 1.25904 | − | 1.05636i | ||||
\(604\) | −6.14122 | + | 13.4474i | −0.249883 | + | 0.547167i | ||||
\(605\) | 1.08562 | + | 3.13671i | 0.0441369 | + | 0.127525i | ||||
\(606\) | −18.4532 | − | 3.25426i | −0.749609 | − | 0.132195i | ||||
\(607\) | 18.5493 | + | 17.6868i | 0.752895 | + | 0.717884i | 0.965828 | − | 0.259183i | \(-0.0834533\pi\) |
−0.212933 | + | 0.977067i | \(0.568302\pi\) | |||||||
\(608\) | 2.10943 | − | 6.09479i | 0.0855486 | − | 0.247177i | ||||
\(609\) | 1.53472 | + | 2.56355i | 0.0621900 | + | 0.103880i | ||||
\(610\) | −0.176541 | − | 3.70605i | −0.00714792 | − | 0.150053i | ||||
\(611\) | −2.46789 | − | 2.84810i | −0.0998401 | − | 0.115222i | ||||
\(612\) | 3.87447 | − | 12.4582i | 0.156616 | − | 0.503594i | ||||
\(613\) | 0.945988 | − | 6.57949i | 0.0382081 | − | 0.265743i | −0.961759 | − | 0.273898i | \(-0.911687\pi\) |
0.999967 | + | 0.00815516i | \(0.00259590\pi\) | |||||||
\(614\) | −4.40136 | − | 12.7169i | −0.177624 | − | 0.513212i | ||||
\(615\) | −0.178837 | − | 2.81513i | −0.00721141 | − | 0.113517i | ||||
\(616\) | −2.21634 | − | 9.13586i | −0.0892987 | − | 0.368094i | ||||
\(617\) | −2.92136 | + | 4.10248i | −0.117610 | + | 0.165160i | −0.869184 | − | 0.494489i | \(-0.835355\pi\) |
0.751574 | + | 0.659648i | \(0.229295\pi\) | |||||||
\(618\) | −5.12048 | + | 11.6993i | −0.205976 | + | 0.470614i | ||||
\(619\) | 3.54753 | − | 1.82888i | 0.142587 | − | 0.0735088i | −0.385456 | − | 0.922726i | \(-0.625956\pi\) |
0.528044 | + | 0.849217i | \(0.322926\pi\) | |||||||
\(620\) | 2.48958 | 0.0999838 | ||||||||
\(621\) | −16.4351 | + | 18.7320i | −0.659517 | + | 0.751689i | ||||
\(622\) | 8.40734 | 0.337104 | ||||||||
\(623\) | 14.9338 | − | 7.69890i | 0.598309 | − | 0.308450i | ||||
\(624\) | −1.82173 | + | 4.16230i | −0.0729276 | + | 0.166625i | ||||
\(625\) | 13.9026 | − | 19.5235i | 0.556105 | − | 0.780940i | ||||
\(626\) | −3.91398 | − | 16.1336i | −0.156434 | − | 0.644830i | ||||
\(627\) | −3.44226 | − | 54.1856i | −0.137470 | − | 2.16396i | ||||
\(628\) | −1.85596 | − | 5.36243i | −0.0740607 | − | 0.213984i | ||||
\(629\) | 5.49585 | − | 38.2245i | 0.219134 | − | 1.52411i | ||||
\(630\) | −1.48828 | + | 0.336066i | −0.0592945 | + | 0.0133892i | ||||
\(631\) | 5.23703 | + | 6.04385i | 0.208483 | + | 0.240602i | 0.850355 | − | 0.526210i | \(-0.176387\pi\) |
−0.641872 | + | 0.766812i | \(0.721842\pi\) | |||||||
\(632\) | 0.434836 | + | 9.12834i | 0.0172969 | + | 0.363106i | ||||
\(633\) | −12.4908 | − | 20.8642i | −0.496463 | − | 0.829277i | ||||
\(634\) | −4.83264 | + | 13.9630i | −0.191929 | + | 0.554542i | ||||
\(635\) | −0.555902 | − | 0.530051i | −0.0220603 | − | 0.0210344i | ||||
\(636\) | −14.7255 | − | 2.59687i | −0.583903 | − | 0.102973i | ||||
\(637\) | −2.79606 | − | 8.07868i | −0.110784 | − | 0.320089i | ||||
\(638\) | 1.80075 | − | 3.94309i | 0.0712923 | − | 0.156108i | ||||
\(639\) | 4.32354 | + | 24.5271i | 0.171037 | + | 0.970277i | ||||
\(640\) | 0.109232 | + | 0.239184i | 0.00431776 | + | 0.00945458i | ||||
\(641\) | 29.9854 | + | 12.0043i | 1.18435 | + | 0.474142i | 0.878410 | − | 0.477908i | \(-0.158605\pi\) |
0.305941 | + | 0.952051i | \(0.401029\pi\) | |||||||
\(642\) | 19.8397 | + | 1.57775i | 0.783011 | + | 0.0622688i | ||||
\(643\) | 15.4957 | + | 26.8393i | 0.611090 | + | 1.05844i | 0.991057 | + | 0.133439i | \(0.0426021\pi\) |
−0.379967 | + | 0.925000i | \(0.624065\pi\) | |||||||
\(644\) | 9.02770 | − | 2.13183i | 0.355741 | − | 0.0840060i | ||||
\(645\) | −3.38027 | − | 2.09746i | −0.133098 | − | 0.0825873i | ||||
\(646\) | −24.9305 | + | 12.8526i | −0.980877 | + | 0.505677i | ||||
\(647\) | −4.89402 | − | 34.0387i | −0.192404 | − | 1.33820i | −0.825621 | − | 0.564225i | \(-0.809175\pi\) |
0.633217 | − | 0.773974i | \(-0.281734\pi\) | |||||||
\(648\) | 8.77867 | + | 1.98366i | 0.344859 | + | 0.0779255i | ||||
\(649\) | 25.3114 | + | 7.43210i | 0.993560 | + | 0.291736i | ||||
\(650\) | −7.50280 | − | 10.5362i | −0.294284 | − | 0.413264i | ||||
\(651\) | −30.2885 | + | 9.41720i | −1.18710 | + | 0.369089i | ||||
\(652\) | −17.9185 | + | 7.17348i | −0.701742 | + | 0.280935i | ||||
\(653\) | −17.6744 | − | 16.8525i | −0.691652 | − | 0.659488i | 0.260374 | − | 0.965508i | \(-0.416154\pi\) |
−0.952025 | + | 0.306019i | \(0.901003\pi\) | |||||||
\(654\) | 4.27242 | + | 1.63238i | 0.167065 | + | 0.0638309i | ||||
\(655\) | −0.105535 | − | 2.21544i | −0.00412358 | − | 0.0865645i | ||||
\(656\) | 5.21043 | − | 3.34854i | 0.203433 | − | 0.130738i | ||||
\(657\) | 4.23861 | − | 10.1178i | 0.165364 | − | 0.394733i | ||||
\(658\) | 2.66615 | − | 0.782853i | 0.103937 | − | 0.0305188i | ||||
\(659\) | 12.8531 | + | 10.1078i | 0.500684 | + | 0.393742i | 0.836313 | − | 0.548252i | \(-0.184707\pi\) |
−0.335629 | + | 0.941994i | \(0.608949\pi\) | |||||||
\(660\) | 1.62605 | + | 1.50198i | 0.0632939 | + | 0.0584647i | ||||
\(661\) | −24.1869 | + | 2.30957i | −0.940761 | + | 0.0898318i | −0.554156 | − | 0.832413i | \(-0.686959\pi\) |
−0.386606 | + | 0.922245i | \(0.626353\pi\) | |||||||
\(662\) | −1.57109 | − | 6.47614i | −0.0610623 | − | 0.251702i | ||||
\(663\) | 18.2253 | − | 7.63349i | 0.707813 | − | 0.296460i | ||||
\(664\) | −4.15067 | − | 1.66168i | −0.161077 | − | 0.0644856i | ||||
\(665\) | 2.75941 | + | 1.77337i | 0.107005 | + | 0.0687682i | ||||
\(666\) | 26.5856 | + | 1.69088i | 1.03017 | + | 0.0655203i | ||||
\(667\) | 3.87980 | + | 1.80055i | 0.150226 | + | 0.0697174i | ||||
\(668\) | −10.9962 | + | 19.0460i | −0.425456 | + | 0.736911i | ||||
\(669\) | −48.8445 | − | 3.88435i | −1.88844 | − | 0.150178i | ||||
\(670\) | 2.78050 | − | 2.18661i | 0.107420 | − | 0.0844762i | ||||
\(671\) | 39.7812 | − | 55.8649i | 1.53574 | − | 2.15664i | ||||
\(672\) | −2.23368 | − | 2.49676i | −0.0861660 | − | 0.0963147i | ||||
\(673\) | 11.4623 | + | 16.0966i | 0.441840 | + | 0.620478i | 0.974104 | − | 0.226101i | \(-0.0725979\pi\) |
−0.532264 | + | 0.846579i | \(0.678658\pi\) | |||||||
\(674\) | 12.9400 | − | 14.9335i | 0.498429 | − | 0.575218i | ||||
\(675\) | −17.6822 | + | 18.5418i | −0.680589 | + | 0.713676i | ||||
\(676\) | 5.87100 | − | 1.72388i | 0.225808 | − | 0.0663032i | ||||
\(677\) | 31.0739 | − | 5.98901i | 1.19427 | − | 0.230176i | 0.446899 | − | 0.894585i | \(-0.352528\pi\) |
0.747370 | + | 0.664408i | \(0.231316\pi\) | |||||||
\(678\) | −1.21266 | + | 0.0192125i | −0.0465717 | + | 0.000737851i | ||||
\(679\) | 3.84060 | + | 1.97997i | 0.147389 | + | 0.0759842i | ||||
\(680\) | 0.374013 | − | 1.08064i | 0.0143427 | − | 0.0414406i | ||||
\(681\) | −16.8322 | + | 16.5664i | −0.645010 | + | 0.634825i | ||||
\(682\) | 36.1728 | + | 28.4466i | 1.38513 | + | 1.08928i | ||||
\(683\) | 12.3074 | − | 14.2034i | 0.470928 | − | 0.543480i | −0.469742 | − | 0.882804i | \(-0.655653\pi\) |
0.940669 | + | 0.339324i | \(0.110198\pi\) | |||||||
\(684\) | −10.2002 | − | 16.4414i | −0.390016 | − | 0.628654i | ||||
\(685\) | −3.72874 | − | 1.09486i | −0.142468 | − | 0.0418324i | ||||
\(686\) | 19.7528 | + | 1.88616i | 0.754165 | + | 0.0720141i | ||||
\(687\) | 23.8302 | − | 2.65708i | 0.909179 | − | 0.101374i | ||||
\(688\) | 0.415618 | − | 8.72490i | 0.0158453 | − | 0.332634i | ||||
\(689\) | −11.3229 | − | 19.6119i | −0.431369 | − | 0.747154i | ||||
\(690\) | −1.49180 | + | 1.59538i | −0.0567919 | + | 0.0607349i | ||||
\(691\) | 25.3842 | − | 43.9668i | 0.965662 | − | 1.67258i | 0.257837 | − | 0.966188i | \(-0.416990\pi\) |
0.707825 | − | 0.706388i | \(-0.249676\pi\) | |||||||
\(692\) | 14.4216 | + | 9.26823i | 0.548229 | + | 0.352325i | ||||
\(693\) | −25.4643 | − | 12.1226i | −0.967307 | − | 0.460499i | ||||
\(694\) | 11.9060 | + | 26.0704i | 0.451944 | + | 0.989619i | ||||
\(695\) | −0.549990 | + | 0.524415i | −0.0208623 | + | 0.0198922i | ||||
\(696\) | −0.0979366 | − | 1.54165i | −0.00371228 | − | 0.0584361i | ||||
\(697\) | −26.4490 | − | 5.09762i | −1.00183 | − | 0.193086i | ||||
\(698\) | 31.2954 | − | 12.5288i | 1.18455 | − | 0.474222i | ||||
\(699\) | 10.4661 | + | 2.89386i | 0.395866 | + | 0.109456i | ||||
\(700\) | 9.36481 | − | 1.80492i | 0.353957 | − | 0.0682195i | ||||
\(701\) | −42.6300 | + | 27.3966i | −1.61011 | + | 1.03476i | −0.648171 | + | 0.761495i | \(0.724466\pi\) |
−0.961940 | + | 0.273261i | \(0.911898\pi\) | |||||||
\(702\) | 6.24497 | + | 12.1157i | 0.235701 | + | 0.457279i | ||||
\(703\) | −37.5040 | − | 43.2820i | −1.41449 | − | 1.63241i | ||||
\(704\) | −1.14588 | + | 4.72338i | −0.0431870 | + | 0.178019i | ||||
\(705\) | −0.420585 | + | 0.501209i | −0.0158401 | + | 0.0188766i | ||||
\(706\) | −20.3811 | − | 3.92814i | −0.767054 | − | 0.147838i | ||||
\(707\) | 20.8299 | − | 1.98901i | 0.783388 | − | 0.0748044i | ||||
\(708\) | 9.20156 | − | 1.92512i | 0.345816 | − | 0.0723503i | ||||
\(709\) | 21.3566 | + | 2.03931i | 0.802064 | + | 0.0765878i | 0.488033 | − | 0.872825i | \(-0.337715\pi\) |
0.314031 | + | 0.949413i | \(0.398321\pi\) | |||||||
\(710\) | 0.310661 | + | 2.16069i | 0.0116589 | + | 0.0810893i | ||||
\(711\) | 22.0765 | + | 16.2563i | 0.827935 | + | 0.609658i | ||||
\(712\) | −8.68664 | −0.325546 | ||||||||
\(713\) | −28.2861 | + | 35.5203i | −1.05932 | + | 1.33025i | ||||
\(714\) | −0.462614 | + | 14.5620i | −0.0173129 | + | 0.544969i | ||||
\(715\) | −0.159518 | + | 3.34869i | −0.00596563 | + | 0.125234i | ||||
\(716\) | −18.6691 | + | 14.6815i | −0.697697 | + | 0.548675i | ||||
\(717\) | 6.43120 | − | 2.69364i | 0.240178 | − | 0.100596i | ||||
\(718\) | 17.2354 | − | 16.4339i | 0.643218 | − | 0.613307i | ||||
\(719\) | 14.7149 | − | 32.2212i | 0.548774 | − | 1.20165i | −0.408578 | − | 0.912723i | \(-0.633975\pi\) |
0.957352 | − | 0.288924i | \(-0.0932975\pi\) | |||||||
\(720\) | 0.763544 | + | 0.198153i | 0.0284556 | + | 0.00738471i | ||||
\(721\) | 2.02957 | − | 14.1159i | 0.0755850 | − | 0.525705i | ||||
\(722\) | −5.32726 | + | 21.9593i | −0.198260 | + | 0.817239i | ||||
\(723\) | −16.7878 | − | 6.41417i | −0.624346 | − | 0.238546i | ||||
\(724\) | −3.82648 | − | 1.97269i | −0.142210 | − | 0.0733144i | ||||
\(725\) | 3.90880 | + | 2.01513i | 0.145169 | + | 0.0748400i | ||||
\(726\) | 3.45406 | + | 21.5898i | 0.128192 | + | 0.801272i | ||||
\(727\) | −0.246167 | + | 1.01472i | −0.00912984 | + | 0.0376337i | −0.976194 | − | 0.216898i | \(-0.930406\pi\) |
0.967064 | + | 0.254532i | \(0.0819213\pi\) | |||||||
\(728\) | 0.722066 | − | 5.02208i | 0.0267615 | − | 0.186131i | ||||
\(729\) | 21.2259 | − | 16.6872i | 0.786144 | − | 0.618043i | ||||
\(730\) | 0.399415 | − | 0.874597i | 0.0147830 | − | 0.0323703i | ||||
\(731\) | −27.4925 | + | 26.2140i | −1.01685 | + | 0.969562i | ||||
\(732\) | 3.09449 | − | 24.2431i | 0.114376 | − | 0.896050i | ||||
\(733\) | −1.40972 | + | 1.10861i | −0.0520691 | + | 0.0409476i | −0.643854 | − | 0.765148i | \(-0.722666\pi\) |
0.591785 | + | 0.806096i | \(0.298423\pi\) | |||||||
\(734\) | 0.301024 | − | 6.31926i | 0.0111110 | − | 0.233248i | ||||
\(735\) | −1.30831 | + | 0.700933i | −0.0482577 | + | 0.0258543i | ||||
\(736\) | −4.65366 | − | 1.15909i | −0.171536 | − | 0.0427246i | ||||
\(737\) | 65.3847 | 2.40848 | ||||||||
\(738\) | 2.06039 | − | 18.4664i | 0.0758439 | − | 0.679756i | ||||
\(739\) | 3.36527 | + | 23.4060i | 0.123794 | + | 0.861003i | 0.953196 | + | 0.302352i | \(0.0977718\pi\) |
−0.829403 | + | 0.558651i | \(0.811319\pi\) | |||||||
\(740\) | 2.32433 | + | 0.221947i | 0.0854440 | + | 0.00815892i | ||||
\(741\) | 9.14432 | − | 27.8401i | 0.335925 | − | 1.02273i | ||||
\(742\) | 16.6220 | − | 1.58721i | 0.610214 | − | 0.0582684i | ||||
\(743\) | 12.2433 | + | 2.35971i | 0.449164 | + | 0.0865693i | 0.408817 | − | 0.912616i | \(-0.365941\pi\) |
0.0403473 | + | 0.999186i | \(0.487154\pi\) | |||||||
\(744\) | 16.1499 | + | 2.84807i | 0.592083 | + | 0.104415i | ||||
\(745\) | −0.195993 | + | 0.807895i | −0.00718064 | + | 0.0295990i | ||||
\(746\) | 2.54894 | + | 2.94163i | 0.0933233 | + | 0.107701i | ||||
\(747\) | −11.7211 | + | 6.52068i | −0.428852 | + | 0.238579i | ||||
\(748\) | 17.7820 | − | 11.4278i | 0.650174 | − | 0.417841i | ||||
\(749\) | −21.8233 | + | 4.20609i | −0.797406 | + | 0.153687i | ||||
\(750\) | −3.22350 | + | 3.17260i | −0.117706 | + | 0.115847i | ||||
\(751\) | 16.8067 | − | 6.72840i | 0.613286 | − | 0.245523i | −0.0441596 | − | 0.999024i | \(-0.514061\pi\) |
0.657446 | + | 0.753502i | \(0.271637\pi\) | |||||||
\(752\) | −1.41067 | − | 0.271885i | −0.0514420 | − | 0.00991463i | ||||
\(753\) | 29.5410 | − | 19.6529i | 1.07653 | − | 0.716193i | ||||
\(754\) | 1.69320 | − | 1.61447i | 0.0616628 | − | 0.0587954i | ||||
\(755\) | 1.61481 | + | 3.53594i | 0.0587689 | + | 0.128686i | ||||
\(756\) | −10.0389 | + | 0.477470i | −0.365113 | + | 0.0173654i | ||||
\(757\) | −16.6596 | − | 10.7065i | −0.605503 | − | 0.389133i | 0.201666 | − | 0.979454i | \(-0.435365\pi\) |
−0.807168 | + | 0.590322i | \(0.799001\pi\) | |||||||
\(758\) | −6.30982 | + | 10.9289i | −0.229183 | + | 0.396957i | ||||
\(759\) | −39.9046 | + | 6.13461i | −1.44845 | + | 0.222672i | ||||
\(760\) | −0.847936 | − | 1.46867i | −0.0307579 | − | 0.0532742i | ||||
\(761\) | 0.737759 | − | 15.4875i | 0.0267437 | − | 0.561420i | −0.945241 | − | 0.326374i | \(-0.894173\pi\) |
0.971984 | − | 0.235046i | \(-0.0755240\pi\) | |||||||
\(762\) | −2.99976 | − | 4.07439i | −0.108670 | − | 0.147600i | ||||
\(763\) | −5.08425 | − | 0.485487i | −0.184062 | − | 0.0175758i | ||||
\(764\) | −10.2672 | − | 3.01473i | −0.371455 | − | 0.109069i | ||||
\(765\) | −1.80856 | − | 2.91516i | −0.0653885 | − | 0.105398i | ||||
\(766\) | −3.51374 | + | 4.05507i | −0.126956 | + | 0.146516i | ||||
\(767\) | 11.1914 | + | 8.80104i | 0.404099 | + | 0.317787i | ||||
\(768\) | 0.434960 | + | 1.67655i | 0.0156953 | + | 0.0604972i | ||||
\(769\) | −17.2999 | + | 49.9848i | −0.623850 | + | 1.80250i | −0.0277098 | + | 0.999616i | \(0.508821\pi\) |
−0.596140 | + | 0.802880i | \(0.703300\pi\) | |||||||
\(770\) | −2.19713 | − | 1.13270i | −0.0791790 | − | 0.0408196i | ||||
\(771\) | 21.8866 | + | 36.5587i | 0.788227 | + | 1.31663i | ||||
\(772\) | −7.79249 | + | 1.50188i | −0.280458 | + | 0.0540538i | ||||
\(773\) | −6.22715 | + | 1.82845i | −0.223975 | + | 0.0657650i | −0.391794 | − | 0.920053i | \(-0.628146\pi\) |
0.167820 | + | 0.985818i | \(0.446327\pi\) | |||||||
\(774\) | −19.5283 | − | 17.4732i | −0.701932 | − | 0.628063i | ||||
\(775\) | −30.5725 | + | 35.2825i | −1.09820 | + | 1.26739i | ||||
\(776\) | −1.29584 | − | 1.81976i | −0.0465180 | − | 0.0653254i | ||||
\(777\) | −29.1177 | + | 6.09189i | −1.04459 | + | 0.218545i | ||||
\(778\) | −9.03579 | + | 12.6890i | −0.323949 | + | 0.454923i | ||||
\(779\) | −31.3997 | + | 24.6930i | −1.12501 | + | 0.884718i | ||||
\(780\) | 0.513447 | + | 1.07873i | 0.0183844 | + | 0.0386249i | ||||
\(781\) | −20.1749 | + | 34.9439i | −0.721914 | + | 1.25039i | ||||
\(782\) | 11.1687 | + | 17.6143i | 0.399392 | + | 0.629886i | ||||
\(783\) | −3.77477 | − | 2.68842i | −0.134899 | − | 0.0960763i | ||||
\(784\) | −2.74161 | − | 1.76192i | −0.0979145 | − | 0.0629259i | ||||
\(785\) | −1.38521 | − | 0.554555i | −0.0494403 | − | 0.0197929i | ||||
\(786\) | 1.84986 | − | 14.4923i | 0.0659823 | − | 0.516924i | ||||
\(787\) | −8.70890 | − | 35.8986i | −0.310439 | − | 1.27965i | −0.886687 | − | 0.462371i | \(-0.846999\pi\) |
0.576248 | − | 0.817275i | \(-0.304516\pi\) | |||||||
\(788\) | −9.94154 | + | 0.949302i | −0.354153 | + | 0.0338175i | ||||
\(789\) | −5.92796 | + | 26.2432i | −0.211041 | + | 0.934282i | ||||
\(790\) | 1.88887 | + | 1.48542i | 0.0672030 | + | 0.0528490i | ||||
\(791\) | 1.29948 | − | 0.381562i | 0.0462042 | − | 0.0135668i | ||||
\(792\) | 8.82992 | + | 11.6036i | 0.313758 | + | 0.412315i | ||||
\(793\) | 31.1382 | − | 20.0113i | 1.10575 | − | 0.710623i | ||||
\(794\) | −0.970920 | − | 20.3821i | −0.0344567 | − | 0.723334i | ||||
\(795\) | −3.05167 | + | 2.47910i | −0.108232 | + | 0.0879246i | ||||
\(796\) | 10.1494 | + | 9.67748i | 0.359738 | + | 0.343009i | ||||
\(797\) | −44.2159 | + | 17.7014i | −1.56621 | + | 0.627015i | −0.982718 | − | 0.185107i | \(-0.940737\pi\) |
−0.583488 | + | 0.812122i | \(0.698313\pi\) | |||||||
\(798\) | 15.8716 | + | 14.6606i | 0.561848 | + | 0.518979i | ||||
\(799\) | 3.62410 | + | 5.08933i | 0.128211 | + | 0.180048i | ||||
\(800\) | −4.73113 | − | 1.38918i | −0.167271 | − | 0.0491151i | ||||
\(801\) | −16.4332 | + | 20.2255i | −0.580637 | + | 0.714633i | ||||
\(802\) | 1.32381 | + | 9.20731i | 0.0467454 | + | 0.325121i | ||||
\(803\) | 15.7968 | − | 8.14380i | 0.557456 | − | 0.287388i | ||||
\(804\) | 20.5386 | − | 11.0037i | 0.724341 | − | 0.388069i | ||||
\(805\) | 1.13087 | − | 2.16108i | 0.0398578 | − | 0.0761681i | ||||
\(806\) | 12.4182 | + | 21.5090i | 0.437413 | + | 0.757622i | ||||
\(807\) | −0.0421731 | − | 0.0886041i | −0.00148456 | − | 0.00311901i | ||||
\(808\) | −10.0434 | − | 4.02077i | −0.353326 | − | 0.141450i | ||||
\(809\) | −0.949249 | − | 2.07857i | −0.0333738 | − | 0.0730785i | 0.892211 | − | 0.451619i | \(-0.149153\pi\) |
−0.925585 | + | 0.378541i | \(0.876426\pi\) | |||||||
\(810\) | 1.90582 | − | 1.40294i | 0.0669637 | − | 0.0492942i | ||||
\(811\) | −15.1869 | + | 33.2546i | −0.533283 | + | 1.16773i | 0.430878 | + | 0.902410i | \(0.358204\pi\) |
−0.964161 | + | 0.265317i | \(0.914523\pi\) | |||||||
\(812\) | 0.564201 | + | 1.63015i | 0.0197996 | + | 0.0572072i | ||||
\(813\) | 9.08881 | − | 10.8311i | 0.318758 | − | 0.379862i | ||||
\(814\) | 31.2358 | + | 29.7832i | 1.09481 | + | 1.04390i | ||||
\(815\) | −1.65991 | + | 4.79601i | −0.0581443 | + | 0.167997i | ||||
\(816\) | 3.66247 | − | 6.58224i | 0.128212 | − | 0.230425i | ||||
\(817\) | 2.68054 | + | 56.2714i | 0.0937801 | + | 1.96869i | ||||
\(818\) | −7.46413 | − | 8.61406i | −0.260977 | − | 0.301184i | ||||
\(819\) | −10.3272 | − | 11.1819i | −0.360860 | − | 0.390726i | ||||
\(820\) | 0.231773 | − | 1.61202i | 0.00809387 | − | 0.0562941i | ||||
\(821\) | −1.74078 | − | 5.02966i | −0.0607537 | − | 0.175536i | 0.910539 | − | 0.413422i | \(-0.135667\pi\) |
−0.971293 | + | 0.237886i | \(0.923546\pi\) | |||||||
\(822\) | −22.9358 | − | 11.3680i | −0.799980 | − | 0.396505i | ||||
\(823\) | −3.68582 | − | 15.1932i | −0.128480 | − | 0.529600i | −0.999279 | − | 0.0379619i | \(-0.987913\pi\) |
0.870800 | − | 0.491638i | \(-0.163602\pi\) | |||||||
\(824\) | −4.27688 | + | 6.00604i | −0.148992 | + | 0.209230i | ||||
\(825\) | −41.2545 | + | 4.59989i | −1.43630 | + | 0.160148i | ||||
\(826\) | −9.33086 | + | 4.81039i | −0.324662 | + | 0.167375i | ||||
\(827\) | −10.7162 | −0.372640 | −0.186320 | − | 0.982489i | \(-0.559656\pi\) | ||||
−0.186320 | + | 0.982489i | \(0.559656\pi\) | |||||||
\(828\) | −11.5024 | + | 8.64259i | −0.399737 | + | 0.300351i | ||||
\(829\) | −0.347806 | −0.0120798 | −0.00603991 | − | 0.999982i | \(-0.501923\pi\) | ||||
−0.00603991 | + | 0.999982i | \(0.501923\pi\) | |||||||
\(830\) | −1.04493 | + | 0.538697i | −0.0362699 | + | 0.0186984i | ||||
\(831\) | −7.29546 | − | 9.90899i | −0.253077 | − | 0.343739i | ||||
\(832\) | −1.52160 | + | 2.13679i | −0.0527520 | + | 0.0740799i | ||||
\(833\) | 3.34140 | + | 13.7735i | 0.115773 | + | 0.477222i | ||||
\(834\) | −4.16772 | + | 2.77269i | −0.144316 | + | 0.0960104i | ||||
\(835\) | 1.89137 | + | 5.46476i | 0.0654536 | + | 0.189116i | ||||
\(836\) | 4.46116 | − | 31.0281i | 0.154293 | − | 1.07313i | ||||
\(837\) | 37.1832 | − | 32.2146i | 1.28524 | − | 1.11350i | ||||
\(838\) | 9.06399 | + | 10.4604i | 0.313110 | + | 0.361349i | ||||
\(839\) | 0.566638 | + | 11.8952i | 0.0195625 | + | 0.410668i | 0.987316 | + | 0.158768i | \(0.0507523\pi\) |
−0.967753 | + | 0.251900i | \(0.918945\pi\) | |||||||
\(840\) | −0.880783 | + | 0.0139545i | −0.0303899 | + | 0.000481477i | ||||
\(841\) | 9.22481 | − | 26.6533i | 0.318097 | − | 0.919081i | ||||
\(842\) | −13.7334 | − | 13.0948i | −0.473284 | − | 0.451276i | ||||
\(843\) | −6.93232 | − | 19.0479i | −0.238762 | − | 0.656043i | ||||
\(844\) | −4.59191 | − | 13.2675i | −0.158060 | − | 0.456685i | ||||
\(845\) | 0.668373 | − | 1.46353i | 0.0229927 | − | 0.0503471i | ||||
\(846\) | −3.30172 | + | 2.77019i | −0.113515 | + | 0.0952411i | ||||
\(847\) | −10.1427 | − | 22.2094i | −0.348508 | − | 0.763126i | ||||
\(848\) | −8.01454 | − | 3.20854i | −0.275221 | − | 0.110182i | ||||
\(849\) | −3.26858 | + | 4.74748i | −0.112177 | + | 0.162933i | ||||
\(850\) | 10.7220 | + | 18.5710i | 0.367761 | + | 0.636981i | ||||
\(851\) | −29.5752 | + | 30.6409i | −1.01383 | + | 1.05036i | ||||
\(852\) | −0.456572 | + | 14.3718i | −0.0156419 | + | 0.492370i | ||||
\(853\) | −0.617975 | + | 0.318588i | −0.0211590 | + | 0.0109082i | −0.468774 | − | 0.883318i | \(-0.655304\pi\) |
0.447615 | + | 0.894227i | \(0.352274\pi\) | |||||||
\(854\) | 3.88404 | + | 27.0141i | 0.132909 | + | 0.924402i | ||||
\(855\) | −5.02367 | − | 0.804098i | −0.171806 | − | 0.0274996i | ||||
\(856\) | 11.0252 | + | 3.23728i | 0.376833 | + | 0.110648i | ||||
\(857\) | 1.17464 | + | 1.64955i | 0.0401250 | + | 0.0563476i | 0.834151 | − | 0.551536i | \(-0.185958\pi\) |
−0.794026 | + | 0.607884i | \(0.792019\pi\) | |||||||
\(858\) | −4.86569 | + | 21.5405i | −0.166112 | + | 0.735380i | ||||
\(859\) | 27.2526 | − | 10.9103i | 0.929845 | − | 0.372254i | 0.143224 | − | 0.989690i | \(-0.454253\pi\) |
0.786621 | + | 0.617436i | \(0.211829\pi\) | |||||||
\(860\) | −1.66226 | − | 1.58496i | −0.0566825 | − | 0.0540466i | ||||
\(861\) | 3.27791 | + | 20.4888i | 0.111711 | + | 0.698255i | ||||
\(862\) | 0.494857 | + | 10.3883i | 0.0168549 | + | 0.353828i | ||||
\(863\) | −30.3502 | + | 19.5049i | −1.03313 | + | 0.663953i | −0.943279 | − | 0.332002i | \(-0.892276\pi\) |
−0.0898527 | + | 0.995955i | \(0.528640\pi\) | |||||||
\(864\) | 4.72643 | + | 2.15891i | 0.160796 | + | 0.0734476i | ||||
\(865\) | 4.32510 | − | 1.26996i | 0.147058 | − | 0.0431800i | ||||
\(866\) | −1.16997 | − | 0.920075i | −0.0397572 | − | 0.0312654i | ||||
\(867\) | −3.16434 | + | 0.983846i | −0.107467 | + | 0.0334132i | ||||
\(868\) | −18.2299 | + | 1.74075i | −0.618763 | + | 0.0590847i | ||||
\(869\) | 10.4718 | + | 43.1655i | 0.355233 | + | 1.46429i | ||||
\(870\) | −0.323222 | − | 0.245999i | −0.0109583 | − | 0.00834015i | ||||
\(871\) | 32.7609 | + | 13.1155i | 1.11006 | + | 0.444401i | ||||
\(872\) | 2.22141 | + | 1.42761i | 0.0752264 | + | 0.0483451i | ||||
\(873\) | −6.68846 | − | 0.425395i | −0.226370 | − | 0.0143974i | ||||
\(874\) | 30.5885 | + | 4.58871i | 1.03467 | + | 0.155215i | ||||
\(875\) | 2.52534 | − | 4.37401i | 0.0853720 | − | 0.147869i | ||||
\(876\) | 3.59154 | − | 5.21658i | 0.121347 | − | 0.176252i | ||||
\(877\) | −12.4119 | + | 9.76083i | −0.419120 | + | 0.329600i | −0.805347 | − | 0.592804i | \(-0.798021\pi\) |
0.386226 | + | 0.922404i | \(0.373778\pi\) | |||||||
\(878\) | −20.2473 | + | 28.4334i | −0.683314 | + | 0.959580i | ||||
\(879\) | −7.23343 | + | 22.0223i | −0.243977 | + | 0.742794i | ||||
\(880\) | 0.741324 | + | 1.04104i | 0.0249900 | + | 0.0350936i | ||||
\(881\) | 8.77096 | − | 10.1222i | 0.295501 | − | 0.341027i | −0.588512 | − | 0.808488i | \(-0.700286\pi\) |
0.884013 | + | 0.467462i | \(0.154832\pi\) | |||||||
\(882\) | −9.28887 | + | 3.05025i | −0.312772 | + | 0.102707i | ||||
\(883\) | 12.7583 | − | 3.74617i | 0.429350 | − | 0.126069i | −0.0599155 | − | 0.998203i | \(-0.519083\pi\) |
0.489265 | + | 0.872135i | \(0.337265\pi\) | |||||||
\(884\) | 11.2019 | − | 2.15899i | 0.376762 | − | 0.0726148i | ||||
\(885\) | 1.20188 | − | 2.16004i | 0.0404008 | − | 0.0726089i | ||||
\(886\) | 3.24244 | + | 1.67159i | 0.108932 | + | 0.0561582i | ||||
\(887\) | 17.9269 | − | 51.7965i | 0.601928 | − | 1.73916i | −0.0689821 | − | 0.997618i | \(-0.521975\pi\) |
0.670910 | − | 0.741539i | \(-0.265904\pi\) | |||||||
\(888\) | 14.8240 | + | 4.09879i | 0.497461 | + | 0.137547i | ||||
\(889\) | 4.44121 | + | 3.49260i | 0.148953 | + | 0.117138i | ||||
\(890\) | −1.49578 | + | 1.72622i | −0.0501386 | + | 0.0578630i | ||||
\(891\) | 43.7213 | + | 1.39220i | 1.46472 | + | 0.0466405i | ||||
\(892\) | −27.1435 | − | 7.97005i | −0.908832 | − | 0.266857i | ||||
\(893\) | 9.22364 | + | 0.880751i | 0.308657 | + | 0.0294732i | ||||
\(894\) | −2.19564 | + | 5.01660i | −0.0734331 | + | 0.167780i | ||||
\(895\) | −0.297153 | + | 6.23800i | −0.00993271 | + | 0.208513i | ||||
\(896\) | −0.967089 | − | 1.67505i | −0.0323082 | − | 0.0559594i | ||||
\(897\) | −21.2247 | − | 4.93071i | −0.708671 | − | 0.164632i | ||||
\(898\) | 20.3240 | − | 35.2023i | 0.678222 | − | 1.17472i | ||||
\(899\) | −7.10372 | − | 4.56528i | −0.236922 | − | 0.152261i | ||||
\(900\) | −12.1847 | + | 8.38768i | −0.406157 | + | 0.279589i | ||||
\(901\) | 15.5964 | + | 34.1513i | 0.519590 | + | 1.13774i | ||||
\(902\) | 21.7869 | − | 20.7738i | 0.725426 | − | 0.691692i | ||||
\(903\) | 26.2186 | + | 12.9951i | 0.872501 | + | 0.432450i | ||||
\(904\) | −0.687561 | − | 0.132517i | −0.0228679 | − | 0.00440743i | ||||
\(905\) | −1.05091 | + | 0.420720i | −0.0349334 | + | 0.0139852i | ||||
\(906\) | 6.43016 | + | 24.7850i | 0.213628 | + | 0.823425i | ||||
\(907\) | −43.8819 | + | 8.45755i | −1.45708 | + | 0.280828i | −0.855423 | − | 0.517930i | \(-0.826703\pi\) |
−0.601652 | + | 0.798758i | \(0.705491\pi\) | |||||||
\(908\) | −11.4708 | + | 7.37181i | −0.380671 | + | 0.244642i | ||||
\(909\) | −28.3616 | + | 15.7781i | −0.940695 | + | 0.523328i | ||||
\(910\) | −0.873659 | − | 1.00826i | −0.0289615 | − | 0.0334234i | ||||
\(911\) | −12.4022 | + | 51.1227i | −0.410904 | + | 1.69377i | 0.271207 | + | 0.962521i | \(0.412577\pi\) |
−0.682111 | + | 0.731248i | \(0.738938\pi\) | |||||||
\(912\) | −3.82041 | − | 10.4973i | −0.126506 | − | 0.347600i | ||||
\(913\) | −21.3378 | − | 4.11252i | −0.706177 | − | 0.136104i | ||||
\(914\) | −30.9956 | + | 2.95972i | −1.02524 | + | 0.0978989i | ||||
\(915\) | −4.28476 | − | 4.78943i | −0.141650 | − | 0.158334i | ||||
\(916\) | 13.7809 | + | 1.31592i | 0.455335 | + | 0.0434793i | ||||
\(917\) | 2.32184 | + | 16.1488i | 0.0766741 | + | 0.533280i | ||||
\(918\) | −8.39717 | − | 20.9796i | −0.277148 | − | 0.692430i | ||||
\(919\) | 27.8557 | 0.918876 | 0.459438 | − | 0.888210i | \(-0.348051\pi\) | ||||
0.459438 | + | 0.888210i | \(0.348051\pi\) | |||||||
\(920\) | −1.03166 | + | 0.725193i | −0.0340129 | + | 0.0239089i | ||||
\(921\) | −19.8053 | − | 12.2892i | −0.652607 | − | 0.404942i | ||||
\(922\) | 0.0358988 | − | 0.753609i | 0.00118226 | − | 0.0248188i | ||||
\(923\) | −17.1180 | + | 13.4617i | −0.563444 | + | 0.443097i | ||||
\(924\) | −12.9570 | − | 9.86132i | −0.426253 | − | 0.324414i | ||||
\(925\) | −31.6887 | + | 30.2151i | −1.04192 | + | 0.993466i | ||||
\(926\) | −0.456934 | + | 1.00055i | −0.0150158 | + | 0.0328800i | ||||
\(927\) | 5.89325 | + | 21.3201i | 0.193560 | + | 0.700244i | ||||
\(928\) | 0.126926 | − | 0.882788i | 0.00416654 | − | 0.0289789i | ||||
\(929\) | 10.0964 | − | 41.6180i | 0.331253 | − | 1.36544i | −0.525973 | − | 0.850502i | \(-0.676299\pi\) |
0.857225 | − | 0.514941i | \(-0.172186\pi\) | |||||||
\(930\) | 3.34687 | − | 2.71891i | 0.109748 | − | 0.0891564i | ||||
\(931\) | 18.6821 | + | 9.63131i | 0.612282 | + | 0.315653i | ||||
\(932\) | 5.57243 | + | 2.87279i | 0.182531 | + | 0.0941013i | ||||
\(933\) | 11.3024 | − | 9.18179i | 0.370025 | − | 0.300598i | ||||
\(934\) | −3.33756 | + | 13.7576i | −0.109208 | + | 0.450163i | ||||
\(935\) | 0.790988 | − | 5.50144i | 0.0258681 | − | 0.179916i | ||||
\(936\) | 2.09666 | + | 7.58513i | 0.0685316 | + | 0.247928i | ||||
\(937\) | 23.6338 | − | 51.7509i | 0.772084 | − | 1.69063i | 0.0500738 | − | 0.998746i | \(-0.484054\pi\) |
0.722010 | − | 0.691882i | \(-0.243218\pi\) | |||||||
\(938\) | −18.8313 | + | 17.9556i | −0.614865 | + | 0.586272i | ||||
\(939\) | −22.8816 | − | 17.4148i | −0.746712 | − | 0.568310i | ||||
\(940\) | −0.296937 | + | 0.233514i | −0.00968503 | + | 0.00761639i | ||||
\(941\) | 0.674425 | − | 14.1579i | 0.0219856 | − | 0.461535i | −0.960852 | − | 0.277062i | \(-0.910639\pi\) |
0.982838 | − | 0.184473i | \(-0.0590578\pi\) | |||||||
\(942\) | −8.35146 | − | 5.18208i | −0.272105 | − | 0.168841i | ||||
\(943\) | 20.3663 | + | 21.6223i | 0.663218 | + | 0.704119i | ||||
\(944\) | 5.42755 | 0.176652 | ||||||||
\(945\) | −1.63375 | + | 2.07717i | −0.0531459 | + | 0.0675702i | ||||
\(946\) | −6.04191 | − | 42.0224i | −0.196439 | − | 1.36627i | ||||
\(947\) | −58.7825 | − | 5.61304i | −1.91017 | − | 0.182399i | −0.928286 | − | 0.371867i | \(-0.878718\pi\) |
−0.981887 | + | 0.189467i | \(0.939324\pi\) | |||||||
\(948\) | 10.5538 | + | 11.7968i | 0.342771 | + | 0.383142i | ||||
\(949\) | 9.54850 | − | 0.911771i | 0.309957 | − | 0.0295973i | ||||
\(950\) | 31.2269 | + | 6.01850i | 1.01314 | + | 0.195266i | ||||
\(951\) | 8.75245 | + | 24.0490i | 0.283818 | + | 0.779842i | ||||
\(952\) | −1.98311 | + | 8.17450i | −0.0642730 | + | 0.264937i | ||||
\(953\) | 15.8791 | + | 18.3255i | 0.514375 | + | 0.593621i | 0.952214 | − | 0.305433i | \(-0.0988012\pi\) |
−0.437838 | + | 0.899054i | \(0.644256\pi\) | |||||||
\(954\) | −22.6323 | + | 12.5908i | −0.732747 | + | 0.407642i | ||||
\(955\) | −2.36704 | + | 1.52120i | −0.0765955 | + | 0.0492249i | ||||
\(956\) | 3.95284 | − | 0.761847i | 0.127844 | − | 0.0246399i | ||||
\(957\) | −1.88547 | − | 7.26752i | −0.0609486 | − | 0.234926i | ||||
\(958\) | −7.92086 | + | 3.17104i | −0.255911 | + | 0.102451i | ||||
\(959\) | 28.0693 | + | 5.40991i | 0.906404 | + | 0.174695i | ||||
\(960\) | 0.408062 | + | 0.202254i | 0.0131702 | + | 0.00652771i | ||||
\(961\) | 42.4422 | − | 40.4685i | 1.36910 | − | 1.30544i | ||||
\(962\) | 9.67642 | + | 21.1884i | 0.311980 | + | 0.683141i | ||||
\(963\) | 28.3946 | − | 19.5462i | 0.915005 | − | 0.629868i | ||||
\(964\) | −8.72869 | − | 5.60959i | −0.281132 | − | 0.180673i | ||||
\(965\) | −1.04336 | + | 1.80715i | −0.0335868 | + | 0.0581741i | ||||
\(966\) | 9.80820 | − | 12.7252i | 0.315574 | − | 0.409427i | ||||
\(967\) | −4.15529 | − | 7.19718i | −0.133625 | − | 0.231446i | 0.791446 | − | 0.611239i | \(-0.209328\pi\) |
−0.925071 | + | 0.379793i | \(0.875995\pi\) | |||||||
\(968\) | −0.600644 | + | 12.6091i | −0.0193054 | + | 0.405271i | ||||
\(969\) | −19.4789 | + | 44.5054i | −0.625751 | + | 1.42972i | ||||
\(970\) | −0.584759 | − | 0.0558377i | −0.0187755 | − | 0.00179284i | ||||
\(971\) | 27.0204 | + | 7.93389i | 0.867125 | + | 0.254611i | 0.684892 | − | 0.728645i | \(-0.259849\pi\) |
0.182233 | + | 0.983255i | \(0.441668\pi\) | |||||||
\(972\) | 13.9680 | − | 6.92059i | 0.448024 | − | 0.221978i | ||||
\(973\) | 3.66063 | − | 4.22459i | 0.117354 | − | 0.135434i | ||||
\(974\) | 11.6629 | + | 9.17179i | 0.373703 | + | 0.293883i | ||||
\(975\) | −21.5932 | − | 5.97044i | −0.691535 | − | 0.191207i | ||||
\(976\) | 4.61503 | − | 13.3343i | 0.147724 | − | 0.426819i | ||||
\(977\) | −11.0776 | − | 5.71088i | −0.354402 | − | 0.182707i | 0.271827 | − | 0.962346i | \(-0.412372\pi\) |
−0.626229 | + | 0.779639i | \(0.715403\pi\) | |||||||
\(978\) | −16.2545 | + | 29.2128i | −0.519761 | + | 0.934121i | ||||
\(979\) | −41.4575 | + | 7.99028i | −1.32499 | + | 0.255370i | ||||
\(980\) | −0.822217 | + | 0.241425i | −0.0262648 | + | 0.00771203i | ||||
\(981\) | 7.52638 | − | 2.47149i | 0.240299 | − | 0.0789086i | ||||
\(982\) | 15.1613 | − | 17.4970i | 0.483815 | − | 0.558353i | ||||
\(983\) | 22.4620 | + | 31.5435i | 0.716427 | + | 1.00608i | 0.998904 | + | 0.0468065i | \(0.0149044\pi\) |
−0.282477 | + | 0.959274i | \(0.591156\pi\) | |||||||
\(984\) | 3.34766 | − | 10.1920i | 0.106719 | − | 0.324909i | ||||
\(985\) | −1.52322 | + | 2.13906i | −0.0485337 | + | 0.0681560i | ||||
\(986\) | −3.04884 | + | 2.39763i | −0.0970947 | + | 0.0763561i | ||||
\(987\) | 2.72928 | − | 3.96418i | 0.0868739 | − | 0.126181i | ||||
\(988\) | 8.45916 | − | 14.6517i | 0.269122 | − | 0.466132i | ||||
\(989\) | 41.4998 | − | 5.70844i | 1.31962 | − | 0.181518i | ||||
\(990\) | 3.82633 | + | 0.243359i | 0.121609 | + | 0.00773447i | ||||
\(991\) | −6.26035 | − | 4.02328i | −0.198867 | − | 0.127804i | 0.437418 | − | 0.899258i | \(-0.355893\pi\) |
−0.636284 | + | 0.771455i | \(0.719529\pi\) | |||||||
\(992\) | 8.78980 | + | 3.51891i | 0.279077 | + | 0.111725i | ||||
\(993\) | −9.18479 | − | 6.99039i | −0.291471 | − | 0.221833i | ||||
\(994\) | −3.78560 | − | 15.6044i | −0.120072 | − | 0.494943i | ||||
\(995\) | 3.67078 | − | 0.350517i | 0.116372 | − | 0.0111121i | ||||
\(996\) | −7.39470 | + | 2.29913i | −0.234310 | + | 0.0728508i | ||||
\(997\) | −42.5906 | − | 33.4936i | −1.34886 | − | 1.06075i | −0.991952 | − | 0.126613i | \(-0.959590\pi\) |
−0.356905 | − | 0.934141i | \(-0.616168\pi\) | |||||||
\(998\) | 39.4429 | − | 11.5815i | 1.24854 | − | 0.366606i | ||||
\(999\) | 37.5871 | − | 26.7615i | 1.18920 | − | 0.846695i |
(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 | 414.2.m.a.25.7 | ✓ | 240 | |
9.4 | even | 3 | inner | 414.2.m.a.301.4 | yes | 240 | |
23.12 | even | 11 | inner | 414.2.m.a.403.4 | yes | 240 | |
207.58 | even | 33 | inner | 414.2.m.a.265.7 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
414.2.m.a.25.7 | ✓ | 240 | 1.1 | even | 1 | trivial | |
414.2.m.a.265.7 | yes | 240 | 207.58 | even | 33 | inner | |
414.2.m.a.301.4 | yes | 240 | 9.4 | even | 3 | inner | |
414.2.m.a.403.4 | yes | 240 | 23.12 | even | 11 | inner |