Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [819,2,Mod(478,819)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(819, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 2, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("819.478");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 819 = 3^{2} \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 819.bm (of order \(6\), degree \(2\), 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: | \(6.53974792554\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{6})\) |
Coefficient field: | 12.0.2346760387617129.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - 3 x^{11} + x^{10} + 10 x^{9} - 15 x^{8} - 10 x^{7} + 45 x^{6} - 20 x^{5} - 60 x^{4} + 80 x^{3} + \cdots + 64 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 91) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 478.2 | ||
Root | \(-1.38488 - 0.286553i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 819.478 |
Dual form | 819.2.bm.f.550.5 |
$q$-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 \(\left(\mathbb{Z}/819\mathbb{Z}\right)^\times\).
\(n\) | \(92\) | \(379\) | \(703\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | − | 1.37905i | − | 0.975139i | −0.873084 | − | 0.487570i | \(-0.837884\pi\) | ||
0.873084 | − | 0.487570i | \(-0.162116\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.0982074 | 0.0491037 | ||||||||
\(5\) | 0.697972 | + | 0.402974i | 0.312142 | + | 0.180216i | 0.647885 | − | 0.761738i | \(-0.275654\pi\) |
−0.335742 | + | 0.941954i | \(0.608987\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.0699870 | − | 2.64483i | 0.0264526 | − | 0.999650i | ||||
\(8\) | − | 2.89354i | − | 1.02302i | ||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0.555723 | − | 0.962541i | 0.175735 | − | 0.304382i | ||||
\(11\) | −4.56532 | − | 2.63579i | −1.37650 | − | 0.794720i | −0.384760 | − | 0.923017i | \(-0.625716\pi\) |
−0.991736 | + | 0.128296i | \(0.959049\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −2.36581 | + | 2.72084i | −0.656156 | + | 0.754625i | ||||
\(14\) | −3.64736 | − | 0.0965159i | −0.974798 | − | 0.0257950i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −3.79394 | −0.948485 | ||||||||
\(17\) | −0.560102 | −0.135845 | −0.0679223 | − | 0.997691i | \(-0.521637\pi\) | ||||
−0.0679223 | + | 0.997691i | \(0.521637\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 5.06165 | − | 2.92234i | 1.16122 | − | 0.670431i | 0.209625 | − | 0.977782i | \(-0.432776\pi\) |
0.951596 | + | 0.307351i | \(0.0994424\pi\) | |||||||
\(20\) | 0.0685460 | + | 0.0395750i | 0.0153273 | + | 0.00884925i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −3.63490 | + | 6.29583i | −0.774963 | + | 1.34228i | ||||
\(23\) | −1.60488 | −0.334640 | −0.167320 | − | 0.985903i | \(-0.553511\pi\) | ||||
−0.167320 | + | 0.985903i | \(0.553511\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −2.17522 | − | 3.76760i | −0.435045 | − | 0.753520i | ||||
\(26\) | 3.75219 | + | 3.26258i | 0.735864 | + | 0.639844i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0.00687324 | − | 0.259741i | 0.00129892 | − | 0.0490865i | ||||
\(29\) | 1.14008 | + | 1.97467i | 0.211707 | + | 0.366687i | 0.952249 | − | 0.305323i | \(-0.0987644\pi\) |
−0.740542 | + | 0.672010i | \(0.765431\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 3.01022 | − | 1.73795i | 0.540651 | − | 0.312145i | −0.204692 | − | 0.978827i | \(-0.565619\pi\) |
0.745343 | + | 0.666681i | \(0.232286\pi\) | |||||||
\(32\) | − | 0.555034i | − | 0.0981171i | ||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 0.772411i | 0.132467i | ||||||||
\(35\) | 1.11465 | − | 1.81781i | 0.188409 | − | 0.307266i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | − | 1.24196i | − | 0.204177i | −0.994775 | − | 0.102088i | \(-0.967448\pi\) | ||
0.994775 | − | 0.102088i | \(-0.0325524\pi\) | |||||||
\(38\) | −4.03007 | − | 6.98029i | −0.653764 | − | 1.13235i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 1.16602 | − | 2.01961i | 0.184364 | − | 0.319329i | ||||
\(41\) | −0.803413 | + | 0.463851i | −0.125472 | + | 0.0724413i | −0.561422 | − | 0.827529i | \(-0.689746\pi\) |
0.435950 | + | 0.899971i | \(0.356412\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 2.22356 | − | 3.85131i | 0.339089 | − | 0.587320i | −0.645172 | − | 0.764037i | \(-0.723214\pi\) |
0.984262 | + | 0.176717i | \(0.0565478\pi\) | |||||||
\(44\) | −0.448348 | − | 0.258854i | −0.0675910 | − | 0.0390237i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 2.21321i | 0.326320i | ||||||||
\(47\) | 3.32915 | + | 1.92209i | 0.485607 | + | 0.280365i | 0.722750 | − | 0.691109i | \(-0.242878\pi\) |
−0.237143 | + | 0.971475i | \(0.576211\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −6.99020 | − | 0.370207i | −0.998601 | − | 0.0528867i | ||||
\(50\) | −5.19572 | + | 2.99975i | −0.734786 | + | 0.424229i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −0.232340 | + | 0.267207i | −0.0322197 | + | 0.0370549i | ||||
\(53\) | 2.72727 | + | 4.72377i | 0.374620 | + | 0.648860i | 0.990270 | − | 0.139159i | \(-0.0444400\pi\) |
−0.615650 | + | 0.788019i | \(0.711107\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −2.12431 | − | 3.67941i | −0.286442 | − | 0.496132i | ||||
\(56\) | −7.65292 | − | 0.202510i | −1.02266 | − | 0.0270616i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 2.72318 | − | 1.57223i | 0.357571 | − | 0.206444i | ||||
\(59\) | − | 10.9940i | − | 1.43129i | −0.698463 | − | 0.715646i | \(-0.746132\pi\) | ||
0.698463 | − | 0.715646i | \(-0.253868\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −3.65107 | − | 6.32385i | −0.467472 | − | 0.809686i | 0.531837 | − | 0.846847i | \(-0.321502\pi\) |
−0.999309 | + | 0.0371610i | \(0.988169\pi\) | |||||||
\(62\) | −2.39673 | − | 4.15126i | −0.304385 | − | 0.527210i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −8.35330 | −1.04416 | ||||||||
\(65\) | −2.74769 | + | 0.945710i | −0.340809 | + | 0.117301i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 6.36144 | + | 3.67278i | 0.777174 | + | 0.448701i | 0.835428 | − | 0.549600i | \(-0.185220\pi\) |
−0.0582541 | + | 0.998302i | \(0.518553\pi\) | |||||||
\(68\) | −0.0550061 | −0.00667047 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −2.50686 | − | 1.53716i | −0.299627 | − | 0.183725i | ||||
\(71\) | 8.06668 | + | 4.65730i | 0.957339 | + | 0.552720i | 0.895353 | − | 0.445357i | \(-0.146923\pi\) |
0.0619857 | + | 0.998077i | \(0.480257\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 4.33139 | − | 2.50073i | 0.506951 | − | 0.292688i | −0.224629 | − | 0.974444i | \(-0.572117\pi\) |
0.731579 | + | 0.681756i | \(0.238784\pi\) | |||||||
\(74\) | −1.71273 | −0.199101 | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0.497091 | − | 0.286996i | 0.0570202 | − | 0.0329207i | ||||
\(77\) | −7.29072 | + | 11.8900i | −0.830854 | + | 1.35499i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −5.68437 | + | 9.84562i | −0.639542 | + | 1.10772i | 0.345992 | + | 0.938238i | \(0.387543\pi\) |
−0.985533 | + | 0.169481i | \(0.945791\pi\) | |||||||
\(80\) | −2.64806 | − | 1.52886i | −0.296062 | − | 0.170932i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 0.639676 | + | 1.10795i | 0.0706404 | + | 0.122353i | ||||
\(83\) | 5.81962i | 0.638786i | 0.947622 | + | 0.319393i | \(0.103479\pi\) | ||||
−0.947622 | + | 0.319393i | \(0.896521\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −0.390935 | − | 0.225707i | −0.0424029 | − | 0.0244813i | ||||
\(86\) | −5.31117 | − | 3.06641i | −0.572719 | − | 0.330659i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −7.62677 | + | 13.2100i | −0.813016 | + | 1.40819i | ||||
\(89\) | 5.00946i | 0.531001i | 0.964111 | + | 0.265501i | \(0.0855373\pi\) | ||||
−0.964111 | + | 0.265501i | \(0.914463\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 7.03057 | + | 6.44756i | 0.737004 | + | 0.675888i | ||||
\(92\) | −0.157611 | −0.0164320 | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 2.65067 | − | 4.59109i | 0.273395 | − | 0.473534i | ||||
\(95\) | 4.71051 | 0.483289 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 9.22171 | + | 5.32416i | 0.936323 | + | 0.540586i | 0.888806 | − | 0.458284i | \(-0.151536\pi\) |
0.0475172 | + | 0.998870i | \(0.484869\pi\) | |||||||
\(98\) | −0.510535 | + | 9.63988i | −0.0515719 | + | 0.973774i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −0.213623 | − | 0.370006i | −0.0213623 | − | 0.0370006i | ||||
\(101\) | −1.95777 | + | 3.39096i | −0.194805 | + | 0.337413i | −0.946837 | − | 0.321715i | \(-0.895741\pi\) |
0.752031 | + | 0.659127i | \(0.229074\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 4.22690 | − | 7.32120i | 0.416488 | − | 0.721379i | −0.579095 | − | 0.815260i | \(-0.696594\pi\) |
0.995583 | + | 0.0938810i | \(0.0299273\pi\) | |||||||
\(104\) | 7.87287 | + | 6.84556i | 0.771998 | + | 0.671262i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 6.51434 | − | 3.76106i | 0.632729 | − | 0.365306i | ||||
\(107\) | 9.67522 | 0.935339 | 0.467670 | − | 0.883903i | \(-0.345094\pi\) | ||||
0.467670 | + | 0.883903i | \(0.345094\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −12.6126 | + | 7.28189i | −1.20807 | + | 0.697478i | −0.962337 | − | 0.271860i | \(-0.912361\pi\) |
−0.245731 | + | 0.969338i | \(0.579028\pi\) | |||||||
\(110\) | −5.07411 | + | 2.92954i | −0.483798 | + | 0.279321i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −0.265526 | + | 10.0343i | −0.0250899 | + | 0.948153i | ||||
\(113\) | 9.75572 | − | 16.8974i | 0.917741 | − | 1.58957i | 0.114903 | − | 0.993377i | \(-0.463344\pi\) |
0.802838 | − | 0.596197i | \(-0.203322\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −1.12016 | − | 0.646723i | −0.104455 | − | 0.0603073i | ||||
\(116\) | 0.111964 | + | 0.193927i | 0.0103956 | + | 0.0180057i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −15.1613 | −1.39571 | ||||||||
\(119\) | −0.0391998 | + | 1.48137i | −0.00359344 | + | 0.135797i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 8.39477 | + | 14.5402i | 0.763161 | + | 1.32183i | ||||
\(122\) | −8.72093 | + | 5.03503i | −0.789556 | + | 0.455850i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 0.295626 | − | 0.170680i | 0.0265480 | − | 0.0153275i | ||||
\(125\) | − | 7.53598i | − | 0.674038i | ||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −0.958656 | − | 1.66044i | −0.0850670 | − | 0.147340i | 0.820353 | − | 0.571858i | \(-0.193777\pi\) |
−0.905420 | + | 0.424517i | \(0.860444\pi\) | |||||||
\(128\) | 10.4096i | 0.920087i | ||||||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 1.30419 | + | 3.78922i | 0.114385 | + | 0.332337i | ||||
\(131\) | 7.79078 | − | 13.4940i | 0.680684 | − | 1.17898i | −0.294089 | − | 0.955778i | \(-0.595016\pi\) |
0.974772 | − | 0.223201i | \(-0.0716506\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −7.37484 | − | 13.5917i | −0.639479 | − | 1.17855i | ||||
\(134\) | 5.06496 | − | 8.77278i | 0.437546 | − | 0.757852i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 1.62068i | 0.138972i | ||||||||
\(137\) | − | 7.85105i | − | 0.670761i | −0.942083 | − | 0.335380i | \(-0.891135\pi\) | ||
0.942083 | − | 0.335380i | \(-0.108865\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −4.96241 | + | 8.59514i | −0.420906 | + | 0.729030i | −0.996028 | − | 0.0890370i | \(-0.971621\pi\) |
0.575122 | + | 0.818067i | \(0.304954\pi\) | |||||||
\(140\) | 0.109466 | − | 0.178522i | 0.00925160 | − | 0.0150879i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 6.42267 | − | 11.1244i | 0.538979 | − | 0.933538i | ||||
\(143\) | 17.9722 | − | 6.18574i | 1.50291 | − | 0.517278i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 1.83769i | 0.152612i | ||||||||
\(146\) | −3.44864 | − | 5.97322i | −0.285412 | − | 0.494347i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | − | 0.121969i | − | 0.0100258i | ||||||
\(149\) | −6.85827 | + | 3.95962i | −0.561851 | + | 0.324385i | −0.753888 | − | 0.657003i | \(-0.771824\pi\) |
0.192037 | + | 0.981388i | \(0.438491\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 1.30005 | − | 0.750582i | 0.105796 | − | 0.0610815i | −0.446168 | − | 0.894949i | \(-0.647212\pi\) |
0.551965 | + | 0.833868i | \(0.313878\pi\) | |||||||
\(152\) | −8.45592 | − | 14.6461i | −0.685866 | − | 1.18795i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 16.3970 | + | 10.0543i | 1.32131 | + | 0.810198i | ||||
\(155\) | 2.80140 | 0.225014 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −1.92846 | − | 3.34019i | −0.153908 | − | 0.266576i | 0.778753 | − | 0.627331i | \(-0.215853\pi\) |
−0.932661 | + | 0.360754i | \(0.882519\pi\) | |||||||
\(158\) | 13.5777 | + | 7.83906i | 1.08018 | + | 0.623642i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 0.223664 | − | 0.387398i | 0.0176822 | − | 0.0306265i | ||||
\(161\) | −0.112320 | + | 4.24462i | −0.00885209 | + | 0.334523i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 12.4369 | − | 7.18042i | 0.974130 | − | 0.562414i | 0.0736372 | − | 0.997285i | \(-0.476539\pi\) |
0.900493 | + | 0.434871i | \(0.143206\pi\) | |||||||
\(164\) | −0.0789011 | + | 0.0455536i | −0.00616114 | + | 0.00355714i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 8.02557 | 0.622905 | ||||||||
\(167\) | 3.91563 | − | 2.26069i | 0.303000 | − | 0.174937i | −0.340790 | − | 0.940140i | \(-0.610694\pi\) |
0.643790 | + | 0.765202i | \(0.277361\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −1.80593 | − | 12.8740i | −0.138918 | − | 0.990304i | ||||
\(170\) | −0.311262 | + | 0.539121i | −0.0238727 | + | 0.0413487i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 0.218370 | − | 0.378227i | 0.0166505 | − | 0.0288396i | ||||
\(173\) | 9.75896 | + | 16.9030i | 0.741960 | + | 1.28511i | 0.951602 | + | 0.307334i | \(0.0994369\pi\) |
−0.209642 | + | 0.977778i | \(0.567230\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −10.1169 | + | 5.48940i | −0.764764 | + | 0.414960i | ||||
\(176\) | 17.3206 | + | 10.0000i | 1.30559 | + | 0.753780i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 6.90832 | 0.517800 | ||||||||
\(179\) | −10.4098 | + | 18.0303i | −0.778065 | + | 1.34765i | 0.154990 | + | 0.987916i | \(0.450465\pi\) |
−0.933055 | + | 0.359733i | \(0.882868\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 16.5522 | 1.23031 | 0.615157 | − | 0.788405i | \(-0.289093\pi\) | ||||
0.615157 | + | 0.788405i | \(0.289093\pi\) | |||||||
\(182\) | 8.89155 | − | 9.69554i | 0.659085 | − | 0.718681i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 4.64378i | 0.342344i | ||||||||
\(185\) | 0.500477 | − | 0.866851i | 0.0367958 | − | 0.0637322i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 2.55704 | + | 1.47631i | 0.186990 | + | 0.107958i | ||||
\(188\) | 0.326948 | + | 0.188763i | 0.0238451 | + | 0.0137670i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | − | 6.49606i | − | 0.471274i | ||||||
\(191\) | −2.12504 | − | 3.68068i | −0.153762 | − | 0.266324i | 0.778845 | − | 0.627216i | \(-0.215806\pi\) |
−0.932608 | + | 0.360892i | \(0.882472\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −10.0435 | − | 5.79861i | −0.722946 | − | 0.417393i | 0.0928898 | − | 0.995676i | \(-0.470390\pi\) |
−0.815836 | + | 0.578283i | \(0.803723\pi\) | |||||||
\(194\) | 7.34231 | − | 12.7172i | 0.527147 | − | 0.913045i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −0.686490 | − | 0.0363570i | −0.0490350 | − | 0.00259693i | ||||
\(197\) | 12.4892 | − | 7.21066i | 0.889821 | − | 0.513738i | 0.0159371 | − | 0.999873i | \(-0.494927\pi\) |
0.873884 | + | 0.486135i | \(0.161594\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −7.05924 | −0.500416 | −0.250208 | − | 0.968192i | \(-0.580499\pi\) | ||||
−0.250208 | + | 0.968192i | \(0.580499\pi\) | |||||||
\(200\) | −10.9017 | + | 6.29410i | −0.770867 | + | 0.445060i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 4.67632 | + | 2.69987i | 0.329024 | + | 0.189962i | ||||
\(203\) | 5.30245 | − | 2.87710i | 0.372159 | − | 0.201933i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −0.747680 | −0.0522202 | ||||||||
\(206\) | −10.0963 | − | 5.82912i | −0.703445 | − | 0.406134i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 8.97572 | − | 10.3227i | 0.622354 | − | 0.715751i | ||||
\(209\) | −30.8107 | −2.13122 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 13.2113 | + | 22.8827i | 0.909505 | + | 1.57531i | 0.814754 | + | 0.579807i | \(0.196872\pi\) |
0.0947513 | + | 0.995501i | \(0.469794\pi\) | |||||||
\(212\) | 0.267838 | + | 0.463909i | 0.0183952 | + | 0.0318614i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | − | 13.3427i | − | 0.912086i | ||||||
\(215\) | 3.10396 | − | 1.79207i | 0.211688 | − | 0.122218i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −4.38590 | − | 8.08314i | −0.297734 | − | 0.548719i | ||||
\(218\) | 10.0421 | + | 17.3935i | 0.680138 | + | 1.17803i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −0.208623 | − | 0.361345i | −0.0140654 | − | 0.0243619i | ||||
\(221\) | 1.32509 | − | 1.52395i | 0.0891353 | − | 0.102512i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 19.9191 | − | 11.5003i | 1.33388 | − | 0.770115i | 0.347987 | − | 0.937499i | \(-0.386865\pi\) |
0.985892 | + | 0.167384i | \(0.0535321\pi\) | |||||||
\(224\) | −1.46797 | − | 0.0388452i | −0.0980828 | − | 0.00259545i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −23.3024 | − | 13.4537i | −1.55006 | − | 0.894925i | ||||
\(227\) | 0.453367i | 0.0300911i | 0.999887 | + | 0.0150455i | \(0.00478932\pi\) | ||||
−0.999887 | + | 0.0150455i | \(0.995211\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 15.0112 | + | 8.66674i | 0.991970 | + | 0.572714i | 0.905863 | − | 0.423571i | \(-0.139224\pi\) |
0.0861077 | + | 0.996286i | \(0.472557\pi\) | |||||||
\(230\) | −0.891867 | + | 1.54476i | −0.0588080 | + | 0.101858i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 5.71380 | − | 3.29886i | 0.375129 | − | 0.216581i | ||||
\(233\) | −3.90756 | + | 6.76809i | −0.255992 | + | 0.443392i | −0.965165 | − | 0.261643i | \(-0.915736\pi\) |
0.709172 | + | 0.705035i | \(0.249069\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 1.54910 | + | 2.68313i | 0.101052 | + | 0.175028i | ||||
\(236\) | − | 1.07969i | − | 0.0702818i | ||||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 2.04289 | + | 0.0540587i | 0.132421 | + | 0.00350411i | ||||
\(239\) | 13.5314i | 0.875276i | 0.899151 | + | 0.437638i | \(0.144185\pi\) | ||||
−0.899151 | + | 0.437638i | \(0.855815\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | − | 22.5592i | − | 1.45317i | −0.687078 | − | 0.726583i | \(-0.741107\pi\) | ||
0.687078 | − | 0.726583i | \(-0.258893\pi\) | |||||||
\(242\) | 20.0517 | − | 11.5768i | 1.28897 | − | 0.744188i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −0.358563 | − | 0.621049i | −0.0229546 | − | 0.0397586i | ||||
\(245\) | −4.72978 | − | 3.07526i | −0.302175 | − | 0.196471i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −4.02364 | + | 20.6856i | −0.256018 | + | 1.31619i | ||||
\(248\) | −5.02884 | − | 8.71020i | −0.319331 | − | 0.553098i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −10.3925 | −0.657281 | ||||||||
\(251\) | 3.36618 | − | 5.83039i | 0.212471 | − | 0.368011i | −0.740016 | − | 0.672589i | \(-0.765182\pi\) |
0.952487 | + | 0.304578i | \(0.0985154\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 7.32677 | + | 4.23011i | 0.460630 | + | 0.265945i | ||||
\(254\) | −2.28984 | + | 1.32204i | −0.143677 | + | 0.0829521i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −2.35120 | −0.146950 | ||||||||
\(257\) | 16.5381 | 1.03162 | 0.515811 | − | 0.856703i | \(-0.327491\pi\) | ||||
0.515811 | + | 0.856703i | \(0.327491\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −3.28476 | − | 0.0869209i | −0.204105 | − | 0.00540100i | ||||
\(260\) | −0.269844 | + | 0.0928757i | −0.0167350 | + | 0.00575991i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −18.6090 | − | 10.7439i | −1.14967 | − | 0.663761i | ||||
\(263\) | −5.01137 | + | 8.67994i | −0.309014 | + | 0.535228i | −0.978147 | − | 0.207915i | \(-0.933332\pi\) |
0.669133 | + | 0.743143i | \(0.266666\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 4.39608i | 0.270049i | ||||||||
\(266\) | −18.7437 | + | 10.1703i | −1.14925 | + | 0.623581i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 0.624740 | + | 0.360694i | 0.0381621 | + | 0.0220329i | ||||
\(269\) | 15.7230 | 0.958647 | 0.479323 | − | 0.877638i | \(-0.340882\pi\) | ||||
0.479323 | + | 0.877638i | \(0.340882\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 5.21618i | 0.316860i | 0.987370 | + | 0.158430i | \(0.0506433\pi\) | ||||
−0.987370 | + | 0.158430i | \(0.949357\pi\) | |||||||
\(272\) | 2.12499 | 0.128847 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −10.8270 | −0.654085 | ||||||||
\(275\) | 22.9337i | 1.38296i | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 19.2724 | 1.15797 | 0.578983 | − | 0.815340i | \(-0.303450\pi\) | ||||
0.578983 | + | 0.815340i | \(0.303450\pi\) | |||||||
\(278\) | 11.8532 | + | 6.84343i | 0.710906 | + | 0.410442i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −5.25991 | − | 3.22527i | −0.314340 | − | 0.192747i | ||||
\(281\) | 2.14283i | 0.127831i | 0.997955 | + | 0.0639153i | \(0.0203588\pi\) | ||||
−0.997955 | + | 0.0639153i | \(0.979641\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −7.87512 | + | 13.6401i | −0.468127 | + | 0.810820i | −0.999337 | − | 0.0364203i | \(-0.988405\pi\) |
0.531209 | + | 0.847241i | \(0.321738\pi\) | |||||||
\(284\) | 0.792207 | + | 0.457381i | 0.0470089 | + | 0.0271406i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −8.53048 | − | 24.7847i | −0.504418 | − | 1.46555i | ||||
\(287\) | 1.17058 | + | 2.15735i | 0.0690969 | + | 0.127344i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −16.6863 | −0.981546 | ||||||||
\(290\) | 2.53427 | 0.148817 | ||||||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 0.425374 | − | 0.245590i | 0.0248932 | − | 0.0143721i | ||||
\(293\) | 20.0474 | + | 11.5744i | 1.17118 | + | 0.676182i | 0.953958 | − | 0.299940i | \(-0.0969668\pi\) |
0.217223 | + | 0.976122i | \(0.430300\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 4.43029 | − | 7.67348i | 0.257941 | − | 0.446767i | ||||
\(296\) | −3.59366 | −0.208877 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 5.46054 | + | 9.45793i | 0.316320 | + | 0.547883i | ||||
\(299\) | 3.79682 | − | 4.36661i | 0.219576 | − | 0.252528i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −10.0304 | − | 6.15046i | −0.578145 | − | 0.354507i | ||||
\(302\) | −1.03509 | − | 1.79283i | −0.0595629 | − | 0.103166i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −19.2036 | + | 11.0872i | −1.10140 | + | 0.635894i | ||||
\(305\) | − | 5.88515i | − | 0.336983i | ||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 4.23590i | 0.241756i | 0.992667 | + | 0.120878i | \(0.0385709\pi\) | ||||
−0.992667 | + | 0.120878i | \(0.961429\pi\) | |||||||
\(308\) | −0.716002 | + | 1.16769i | −0.0407980 | + | 0.0665351i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | − | 3.86328i | − | 0.219420i | ||||||
\(311\) | −13.6251 | − | 23.5993i | −0.772606 | − | 1.33819i | −0.936130 | − | 0.351654i | \(-0.885619\pi\) |
0.163524 | − | 0.986539i | \(-0.447714\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −1.34849 | + | 2.33565i | −0.0762209 | + | 0.132018i | −0.901617 | − | 0.432536i | \(-0.857619\pi\) |
0.825396 | + | 0.564555i | \(0.190952\pi\) | |||||||
\(314\) | −4.60631 | + | 2.65945i | −0.259949 | + | 0.150082i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −0.558247 | + | 0.966913i | −0.0314039 | + | 0.0543931i | ||||
\(317\) | −20.8456 | − | 12.0352i | −1.17081 | − | 0.675966i | −0.216937 | − | 0.976186i | \(-0.569607\pi\) |
−0.953870 | + | 0.300220i | \(0.902940\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | − | 12.0200i | − | 0.672991i | ||||||
\(320\) | −5.83037 | − | 3.36617i | −0.325928 | − | 0.188174i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 5.85356 | + | 0.154896i | 0.326206 | + | 0.00863202i | ||||
\(323\) | −2.83504 | + | 1.63681i | −0.157746 | + | 0.0910745i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 15.3972 | + | 2.99497i | 0.854082 | + | 0.166131i | ||||
\(326\) | −9.90220 | − | 17.1511i | −0.548432 | − | 0.949912i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 1.34217 | + | 2.32471i | 0.0741091 | + | 0.128361i | ||||
\(329\) | 5.31659 | − | 8.67051i | 0.293113 | − | 0.478021i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 0.536696 | − | 0.309862i | 0.0294995 | − | 0.0170315i | −0.485178 | − | 0.874416i | \(-0.661245\pi\) |
0.514677 | + | 0.857384i | \(0.327912\pi\) | |||||||
\(332\) | 0.571530i | 0.0313668i | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −3.11762 | − | 5.39987i | −0.170588 | − | 0.295468i | ||||
\(335\) | 2.96007 | + | 5.12699i | 0.161726 | + | 0.280117i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −5.72118 | −0.311652 | −0.155826 | − | 0.987784i | \(-0.549804\pi\) | ||||
−0.155826 | + | 0.987784i | \(0.549804\pi\) | |||||||
\(338\) | −17.7539 | + | 2.49048i | −0.965684 | + | 0.135464i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −0.0383927 | − | 0.0221660i | −0.00208214 | − | 0.00120212i | ||||
\(341\) | −18.3235 | −0.992272 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −1.46836 | + | 18.4620i | −0.0792837 | + | 0.996852i | ||||
\(344\) | −11.1439 | − | 6.43396i | −0.600841 | − | 0.346896i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 23.3102 | − | 13.4581i | 1.25316 | − | 0.723514i | ||||
\(347\) | 1.86486 | 0.100111 | 0.0500554 | − | 0.998746i | \(-0.484060\pi\) | ||||
0.0500554 | + | 0.998746i | \(0.484060\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −19.3273 | + | 11.1586i | −1.03457 | + | 0.597307i | −0.918290 | − | 0.395909i | \(-0.870429\pi\) |
−0.116277 | + | 0.993217i | \(0.537096\pi\) | |||||||
\(350\) | 7.57019 | + | 13.9517i | 0.404644 | + | 0.745751i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −1.46295 | + | 2.53391i | −0.0779756 | + | 0.135058i | ||||
\(353\) | −2.01956 | − | 1.16600i | −0.107491 | − | 0.0620597i | 0.445291 | − | 0.895386i | \(-0.353100\pi\) |
−0.552781 | + | 0.833326i | \(0.686434\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 3.75354 | + | 6.50133i | 0.199217 | + | 0.345055i | ||||
\(356\) | 0.491966i | 0.0260741i | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 24.8648 | + | 14.3557i | 1.31415 | + | 0.758722i | ||||
\(359\) | 2.83281 | + | 1.63553i | 0.149510 | + | 0.0863197i | 0.572889 | − | 0.819633i | \(-0.305823\pi\) |
−0.423379 | + | 0.905953i | \(0.639156\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 7.58017 | − | 13.1292i | 0.398956 | − | 0.691013i | ||||
\(362\) | − | 22.8264i | − | 1.19973i | ||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0.690454 | + | 0.633198i | 0.0361896 | + | 0.0331886i | ||||
\(365\) | 4.03092 | 0.210988 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −2.07645 | + | 3.59652i | −0.108390 | + | 0.187737i | −0.915118 | − | 0.403186i | \(-0.867903\pi\) |
0.806728 | + | 0.590923i | \(0.201236\pi\) | |||||||
\(368\) | 6.08880 | 0.317401 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −1.19544 | − | 0.690185i | −0.0621477 | − | 0.0358810i | ||||
\(371\) | 12.6844 | − | 6.88256i | 0.658543 | − | 0.357325i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 5.55446 | + | 9.62061i | 0.287599 | + | 0.498136i | 0.973236 | − | 0.229807i | \(-0.0738096\pi\) |
−0.685637 | + | 0.727944i | \(0.740476\pi\) | |||||||
\(374\) | 2.03591 | − | 3.52630i | 0.105275 | − | 0.182341i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 5.56165 | − | 9.63305i | 0.286820 | − | 0.496787i | ||||
\(377\) | −8.06996 | − | 1.56972i | −0.415624 | − | 0.0808447i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −4.01862 | + | 2.32015i | −0.206422 | + | 0.119178i | −0.599648 | − | 0.800264i | \(-0.704693\pi\) |
0.393225 | + | 0.919442i | \(0.371359\pi\) | |||||||
\(380\) | 0.462607 | 0.0237312 | ||||||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −5.07586 | + | 2.93055i | −0.259703 | + | 0.149940i | ||||
\(383\) | 3.17773 | − | 1.83466i | 0.162374 | − | 0.0937469i | −0.416611 | − | 0.909085i | \(-0.636782\pi\) |
0.578985 | + | 0.815338i | \(0.303449\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −9.88008 | + | 5.36092i | −0.503535 | + | 0.273218i | ||||
\(386\) | −7.99661 | + | 13.8505i | −0.407017 | + | 0.704973i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 0.905640 | + | 0.522872i | 0.0459769 | + | 0.0265448i | ||||
\(389\) | −8.44156 | − | 14.6212i | −0.428004 | − | 0.741324i | 0.568692 | − | 0.822551i | \(-0.307450\pi\) |
−0.996696 | + | 0.0812262i | \(0.974116\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 0.898894 | 0.0454590 | ||||||||
\(392\) | −1.07121 | + | 20.2265i | −0.0541042 | + | 1.02159i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −9.94390 | − | 17.2233i | −0.500966 | − | 0.867699i | ||||
\(395\) | −7.93506 | + | 4.58131i | −0.399256 | + | 0.230511i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −14.4700 | + | 8.35428i | −0.726230 | + | 0.419289i | −0.817041 | − | 0.576579i | \(-0.804387\pi\) |
0.0908114 | + | 0.995868i | \(0.471054\pi\) | |||||||
\(398\) | 9.73508i | 0.487976i | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 8.25267 | + | 14.2940i | 0.412633 | + | 0.714702i | ||||
\(401\) | 25.3134i | 1.26409i | 0.774931 | + | 0.632046i | \(0.217785\pi\) | ||||
−0.774931 | + | 0.632046i | \(0.782215\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −2.39291 | + | 12.3020i | −0.119199 | + | 0.612805i | ||||
\(404\) | −0.192267 | + | 0.333017i | −0.00956566 | + | 0.0165682i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −3.96768 | − | 7.31237i | −0.196913 | − | 0.362907i | ||||
\(407\) | −3.27354 | + | 5.66994i | −0.162263 | + | 0.281048i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 5.73343i | 0.283500i | 0.989903 | + | 0.141750i | \(0.0452729\pi\) | ||||
−0.989903 | + | 0.141750i | \(0.954727\pi\) | |||||||
\(410\) | 1.03109i | 0.0509220i | ||||||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 0.415112 | − | 0.718996i | 0.0204511 | − | 0.0354224i | ||||
\(413\) | −29.0771 | − | 0.769435i | −1.43079 | − | 0.0378614i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −2.34516 | + | 4.06193i | −0.115119 | + | 0.199392i | ||||
\(416\) | 1.51016 | + | 1.31310i | 0.0740416 | + | 0.0643801i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 42.4897i | 2.07824i | ||||||||
\(419\) | −17.1729 | − | 29.7443i | −0.838950 | − | 1.45310i | −0.890773 | − | 0.454448i | \(-0.849836\pi\) |
0.0518229 | − | 0.998656i | \(-0.483497\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | − | 2.94167i | − | 0.143368i | −0.997427 | − | 0.0716842i | \(-0.977163\pi\) | ||
0.997427 | − | 0.0716842i | \(-0.0228374\pi\) | |||||||
\(422\) | 31.5565 | − | 18.2191i | 1.53614 | − | 0.886894i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 13.6684 | − | 7.89148i | 0.663798 | − | 0.383244i | ||||
\(425\) | 1.21835 | + | 2.11024i | 0.0590985 | + | 0.102362i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −16.9810 | + | 9.21387i | −0.821768 | + | 0.445890i | ||||
\(428\) | 0.950178 | 0.0459286 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −2.47137 | − | 4.28053i | −0.119180 | − | 0.206426i | ||||
\(431\) | −34.3773 | − | 19.8478i | −1.65590 | − | 0.956033i | −0.974578 | − | 0.224048i | \(-0.928073\pi\) |
−0.681321 | − | 0.731985i | \(-0.738594\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −4.91827 | + | 8.51869i | −0.236357 | + | 0.409382i | −0.959666 | − | 0.281142i | \(-0.909287\pi\) |
0.723309 | + | 0.690524i | \(0.242620\pi\) | |||||||
\(434\) | −11.1471 | + | 6.04840i | −0.535078 | + | 0.290332i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −1.23865 | + | 0.715135i | −0.0593206 | + | 0.0342488i | ||||
\(437\) | −8.12331 | + | 4.69000i | −0.388591 | + | 0.224353i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −28.5465 | −1.36245 | −0.681226 | − | 0.732073i | \(-0.738553\pi\) | ||||
−0.681226 | + | 0.732073i | \(0.738553\pi\) | |||||||
\(440\) | −10.6465 | + | 6.14678i | −0.507554 | + | 0.293036i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −2.10161 | − | 1.82737i | −0.0999632 | − | 0.0869193i | ||||
\(443\) | 1.66951 | − | 2.89167i | 0.0793207 | − | 0.137387i | −0.823636 | − | 0.567118i | \(-0.808058\pi\) |
0.902957 | + | 0.429731i | \(0.141392\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −2.01868 | + | 3.49646i | −0.0956947 | + | 0.165748i | ||||
\(446\) | −15.8595 | − | 27.4695i | −0.750969 | − | 1.30072i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −0.584622 | + | 22.0930i | −0.0276208 | + | 1.04380i | ||||
\(449\) | −15.7487 | − | 9.09253i | −0.743228 | − | 0.429103i | 0.0800136 | − | 0.996794i | \(-0.474504\pi\) |
−0.823242 | + | 0.567691i | \(0.807837\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 4.89045 | 0.230282 | ||||||||
\(452\) | 0.958084 | − | 1.65945i | 0.0450645 | − | 0.0780539i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 0.625219 | 0.0293430 | ||||||||
\(455\) | 2.30894 | + | 7.33336i | 0.108245 | + | 0.343793i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | − | 8.72932i | − | 0.408341i | −0.978935 | − | 0.204170i | \(-0.934550\pi\) | ||
0.978935 | − | 0.204170i | \(-0.0654496\pi\) | |||||||
\(458\) | 11.9519 | − | 20.7013i | 0.558476 | − | 0.967309i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −0.110008 | − | 0.0635130i | −0.00512914 | − | 0.00296131i | ||||
\(461\) | 1.96695 | + | 1.13562i | 0.0916099 | + | 0.0528910i | 0.545105 | − | 0.838368i | \(-0.316490\pi\) |
−0.453495 | + | 0.891259i | \(0.649823\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | − | 5.48326i | − | 0.254829i | −0.991850 | − | 0.127414i | \(-0.959332\pi\) | ||
0.991850 | − | 0.127414i | \(-0.0406678\pi\) | |||||||
\(464\) | −4.32538 | − | 7.49178i | −0.200801 | − | 0.347797i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 9.33356 | + | 5.38873i | 0.432369 | + | 0.249628i | ||||
\(467\) | −9.44095 | + | 16.3522i | −0.436875 | + | 0.756690i | −0.997447 | − | 0.0714164i | \(-0.977248\pi\) |
0.560572 | + | 0.828106i | \(0.310581\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 10.1591 | − | 16.5679i | 0.469103 | − | 0.765032i | ||||
\(470\) | 3.70018 | − | 2.13630i | 0.170677 | − | 0.0985401i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −31.8115 | −1.46424 | ||||||||
\(473\) | −20.3025 | + | 11.7217i | −0.933510 | + | 0.538962i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −22.0204 | − | 12.7135i | −1.01037 | − | 0.583335i | ||||
\(476\) | −0.00384971 | + | 0.145482i | −0.000176451 | + | 0.00666814i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 18.6606 | 0.853516 | ||||||||
\(479\) | 28.6961 | + | 16.5677i | 1.31116 | + | 0.756997i | 0.982288 | − | 0.187378i | \(-0.0599991\pi\) |
0.328869 | + | 0.944375i | \(0.393332\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 3.37917 | + | 2.93823i | 0.154077 | + | 0.133972i | ||||
\(482\) | −31.1104 | −1.41704 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 0.824428 | + | 1.42795i | 0.0374740 | + | 0.0649069i | ||||
\(485\) | 4.29100 | + | 7.43222i | 0.194844 | + | 0.337480i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | − | 15.9563i | − | 0.723048i | −0.932363 | − | 0.361524i | \(-0.882257\pi\) | ||
0.932363 | − | 0.361524i | \(-0.117743\pi\) | |||||||
\(488\) | −18.2983 | + | 10.5645i | −0.828326 | + | 0.478234i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −4.24096 | + | 6.52263i | −0.191587 | + | 0.294662i | ||||
\(491\) | 15.8464 | + | 27.4468i | 0.715138 | + | 1.23866i | 0.962906 | + | 0.269836i | \(0.0869694\pi\) |
−0.247769 | + | 0.968819i | \(0.579697\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −0.638559 | − | 1.10602i | −0.0287593 | − | 0.0498125i | ||||
\(494\) | 28.5266 | + | 5.54882i | 1.28347 | + | 0.249653i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −11.4206 | + | 6.59368i | −0.512800 | + | 0.296065i | ||||
\(497\) | 12.8823 | − | 21.0090i | 0.577850 | − | 0.942383i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 20.9738 | + | 12.1092i | 0.938916 | + | 0.542083i | 0.889620 | − | 0.456701i | \(-0.150969\pi\) |
0.0492955 | + | 0.998784i | \(0.484302\pi\) | |||||||
\(500\) | − | 0.740089i | − | 0.0330978i | ||||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −8.04043 | − | 4.64215i | −0.358862 | − | 0.207189i | ||||
\(503\) | 0.427249 | − | 0.740017i | 0.0190501 | − | 0.0329957i | −0.856343 | − | 0.516407i | \(-0.827269\pi\) |
0.875393 | + | 0.483411i | \(0.160602\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −2.73294 | + | 1.57786i | −0.121614 | + | 0.0702139i | ||||
\(506\) | 5.83356 | − | 10.1040i | 0.259333 | − | 0.449179i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −0.0941471 | − | 0.163068i | −0.00417710 | − | 0.00723495i | ||||
\(509\) | − | 1.30000i | − | 0.0576215i | −0.999585 | − | 0.0288108i | \(-0.990828\pi\) | ||
0.999585 | − | 0.0288108i | \(-0.00917202\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −6.31085 | − | 11.6308i | −0.279176 | − | 0.514516i | ||||
\(512\) | 24.0616i | 1.06338i | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | − | 22.8070i | − | 1.00597i | ||||||
\(515\) | 5.90051 | − | 3.40666i | 0.260007 | − | 0.150115i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −10.1324 | − | 17.5499i | −0.445624 | − | 0.771844i | ||||
\(518\) | −0.119869 | + | 4.52987i | −0.00526673 | + | 0.199031i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 2.73645 | + | 7.95057i | 0.120001 | + | 0.348655i | ||||
\(521\) | −12.5228 | − | 21.6901i | −0.548632 | − | 0.950259i | −0.998369 | − | 0.0570974i | \(-0.981815\pi\) |
0.449736 | − | 0.893161i | \(-0.351518\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 12.8239 | 0.560752 | 0.280376 | − | 0.959890i | \(-0.409541\pi\) | ||||
0.280376 | + | 0.959890i | \(0.409541\pi\) | |||||||
\(524\) | 0.765112 | − | 1.32521i | 0.0334241 | − | 0.0578922i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 11.9701 | + | 6.91095i | 0.521922 | + | 0.301332i | ||||
\(527\) | −1.68603 | + | 0.973429i | −0.0734446 | + | 0.0424032i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −20.4244 | −0.888016 | ||||||||
\(530\) | 6.06244 | 0.263335 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −0.724263 | − | 1.33480i | −0.0314008 | − | 0.0578711i | ||||
\(533\) | 0.638656 | − | 3.28334i | 0.0276632 | − | 0.142217i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 6.75303 | + | 3.89886i | 0.291959 | + | 0.168563i | ||||
\(536\) | 10.6273 | − | 18.4071i | 0.459031 | − | 0.795066i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | − | 21.6828i | − | 0.934814i | ||||||
\(539\) | 30.9367 | + | 20.1148i | 1.33254 | + | 0.866406i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −24.8938 | − | 14.3725i | −1.07027 | − | 0.617920i | −0.142014 | − | 0.989865i | \(-0.545358\pi\) |
−0.928255 | + | 0.371944i | \(0.878691\pi\) | |||||||
\(542\) | 7.19340 | 0.308983 | ||||||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 0.310876i | 0.0133287i | ||||||||
\(545\) | −11.7376 | −0.502785 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −8.88085 | −0.379718 | −0.189859 | − | 0.981811i | \(-0.560803\pi\) | ||||
−0.189859 | + | 0.981811i | \(0.560803\pi\) | |||||||
\(548\) | − | 0.771031i | − | 0.0329368i | ||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 31.6269 | 1.34857 | ||||||||
\(551\) | 11.5413 | + | 6.66339i | 0.491677 | + | 0.283870i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 25.6421 | + | 15.7232i | 1.09041 | + | 0.668620i | ||||
\(554\) | − | 26.5777i | − | 1.12918i | ||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −0.487345 | + | 0.844106i | −0.0206680 | + | 0.0357981i | ||||
\(557\) | −33.5389 | − | 19.3637i | −1.42109 | − | 0.820465i | −0.424695 | − | 0.905336i | \(-0.639619\pi\) |
−0.996392 | + | 0.0848711i | \(0.972952\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 5.21830 | + | 15.1614i | 0.220711 | + | 0.641259i | ||||
\(560\) | −4.22890 | + | 6.89666i | −0.178704 | + | 0.291437i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 2.95508 | 0.124653 | ||||||||
\(563\) | 6.90882 | 0.291172 | 0.145586 | − | 0.989346i | \(-0.453493\pi\) | ||||
0.145586 | + | 0.989346i | \(0.453493\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 13.6184 | − | 7.86260i | 0.572932 | − | 0.330782i | ||||
\(566\) | 18.8105 | + | 10.8602i | 0.790663 | + | 0.456489i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 13.4761 | − | 23.3413i | 0.565444 | − | 0.979379i | ||||
\(569\) | −2.83745 | −0.118952 | −0.0594759 | − | 0.998230i | \(-0.518943\pi\) | ||||
−0.0594759 | + | 0.998230i | \(0.518943\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −23.3362 | − | 40.4195i | −0.976589 | − | 1.69150i | −0.674588 | − | 0.738195i | \(-0.735679\pi\) |
−0.302001 | − | 0.953307i | \(-0.597655\pi\) | |||||||
\(572\) | 1.76500 | − | 0.607485i | 0.0737985 | − | 0.0254002i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 2.97511 | − | 1.61429i | 0.124179 | − | 0.0673791i | ||||
\(575\) | 3.49096 | + | 6.04653i | 0.145583 | + | 0.252158i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −9.88033 | + | 5.70441i | −0.411323 | + | 0.237478i | −0.691358 | − | 0.722512i | \(-0.742987\pi\) |
0.280035 | + | 0.959990i | \(0.409654\pi\) | |||||||
\(578\) | 23.0113i | 0.957144i | ||||||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 0.180474i | 0.00749379i | ||||||||
\(581\) | 15.3919 | + | 0.407298i | 0.638563 | + | 0.0168975i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | − | 28.7541i | − | 1.19087i | ||||||
\(584\) | −7.23597 | − | 12.5331i | −0.299426 | − | 0.518622i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 15.9617 | − | 27.6465i | 0.659371 | − | 1.14206i | ||||
\(587\) | 40.2191 | − | 23.2205i | 1.66002 | − | 0.958413i | 0.687318 | − | 0.726356i | \(-0.258788\pi\) |
0.972702 | − | 0.232057i | \(-0.0745456\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 10.1578 | − | 17.5938i | 0.418544 | − | 0.724939i | ||||
\(590\) | −10.5821 | − | 6.10961i | −0.435660 | − | 0.251529i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 4.71191i | 0.193658i | ||||||||
\(593\) | −17.5462 | − | 10.1303i | −0.720535 | − | 0.416001i | 0.0944146 | − | 0.995533i | \(-0.469902\pi\) |
−0.814950 | + | 0.579532i | \(0.803235\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −0.624315 | + | 1.01816i | −0.0255944 | + | 0.0417404i | ||||
\(596\) | −0.673533 | + | 0.388864i | −0.0275890 | + | 0.0159285i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −6.02179 | − | 5.23603i | −0.246249 | − | 0.214117i | ||||
\(599\) | −19.4938 | − | 33.7642i | −0.796494 | − | 1.37957i | −0.921886 | − | 0.387462i | \(-0.873352\pi\) |
0.125391 | − | 0.992107i | \(-0.459981\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −9.56951 | − | 16.5749i | −0.390348 | − | 0.676103i | 0.602147 | − | 0.798385i | \(-0.294312\pi\) |
−0.992495 | + | 0.122282i | \(0.960979\pi\) | |||||||
\(602\) | −8.48182 | + | 13.8325i | −0.345693 | + | 0.563771i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 0.127674 | − | 0.0737127i | 0.00519499 | − | 0.00299933i | ||||
\(605\) | 13.5315i | 0.550134i | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −21.6668 | − | 37.5280i | −0.879428 | − | 1.52321i | −0.851970 | − | 0.523590i | \(-0.824592\pi\) |
−0.0274572 | − | 0.999623i | \(-0.508741\pi\) | |||||||
\(608\) | −1.62200 | − | 2.80939i | −0.0657808 | − | 0.113936i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −8.11595 | −0.328605 | ||||||||
\(611\) | −13.1058 | + | 4.51081i | −0.530205 | + | 0.182488i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 8.92834 | + | 5.15478i | 0.360612 | + | 0.208200i | 0.669349 | − | 0.742948i | \(-0.266573\pi\) |
−0.308737 | + | 0.951147i | \(0.599906\pi\) | |||||||
\(614\) | 5.84154 | 0.235745 | ||||||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 34.4042 | + | 21.0960i | 1.38619 | + | 0.849982i | ||||
\(617\) | 9.58684 | + | 5.53497i | 0.385952 | + | 0.222829i | 0.680405 | − | 0.732837i | \(-0.261804\pi\) |
−0.294453 | + | 0.955666i | \(0.595137\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 29.2384 | − | 16.8808i | 1.17519 | − | 0.678498i | 0.220295 | − | 0.975433i | \(-0.429298\pi\) |
0.954897 | + | 0.296936i | \(0.0959647\pi\) | |||||||
\(620\) | 0.275118 | 0.0110490 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −32.5447 | + | 18.7897i | −1.30492 | + | 0.753399i | ||||
\(623\) | 13.2491 | + | 0.350597i | 0.530816 | + | 0.0140464i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −7.83931 | + | 13.5781i | −0.313573 | + | 0.543124i | ||||
\(626\) | 3.22098 | + | 1.85964i | 0.128736 | + | 0.0743260i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −0.189389 | − | 0.328031i | −0.00755745 | − | 0.0130899i | ||||
\(629\) | 0.695623i | 0.0277363i | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 33.4264 | + | 19.2987i | 1.33068 | + | 0.768271i | 0.985405 | − | 0.170229i | \(-0.0544507\pi\) |
0.345280 | + | 0.938500i | \(0.387784\pi\) | |||||||
\(632\) | 28.4887 | + | 16.4480i | 1.13322 | + | 0.654265i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −16.5972 | + | 28.7473i | −0.659161 | + | 1.14170i | ||||
\(635\) | − | 1.54525i | − | 0.0613215i | ||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 17.5447 | − | 18.1434i | 0.695148 | − | 0.718867i | ||||
\(638\) | −16.5763 | −0.656260 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −4.19480 | + | 7.26560i | −0.165814 | + | 0.287198i | ||||
\(641\) | 19.5228 | 0.771105 | 0.385553 | − | 0.922686i | \(-0.374011\pi\) | ||||
0.385553 | + | 0.922686i | \(0.374011\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 10.8009 | + | 6.23589i | 0.425945 | + | 0.245920i | 0.697618 | − | 0.716470i | \(-0.254243\pi\) |
−0.271673 | + | 0.962390i | \(0.587577\pi\) | |||||||
\(644\) | −0.0110307 | + | 0.416853i | −0.000434670 | + | 0.0164263i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 2.25725 | + | 3.90967i | 0.0888103 | + | 0.153824i | ||||
\(647\) | −17.9695 | + | 31.1241i | −0.706455 | + | 1.22362i | 0.259709 | + | 0.965687i | \(0.416373\pi\) |
−0.966164 | + | 0.257929i | \(0.916960\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −28.9778 | + | 50.1910i | −1.13748 | + | 1.97017i | ||||
\(650\) | 4.13023 | − | 21.2336i | 0.162001 | − | 0.832849i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 1.22139 | − | 0.705171i | 0.0478334 | − | 0.0276166i | ||||
\(653\) | −4.85888 | −0.190143 | −0.0950713 | − | 0.995470i | \(-0.530308\pi\) | ||||
−0.0950713 | + | 0.995470i | \(0.530308\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 10.8755 | − | 6.27897i | 0.424941 | − | 0.245340i | ||||
\(656\) | 3.04810 | − | 1.75982i | 0.119008 | − | 0.0687095i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −11.9571 | − | 7.33186i | −0.466137 | − | 0.285826i | ||||
\(659\) | −11.8103 | + | 20.4560i | −0.460063 | + | 0.796853i | −0.998964 | − | 0.0455166i | \(-0.985507\pi\) |
0.538900 | + | 0.842370i | \(0.318840\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 14.1970 | + | 8.19662i | 0.552198 | + | 0.318812i | 0.750008 | − | 0.661429i | \(-0.230050\pi\) |
−0.197810 | + | 0.980240i | \(0.563383\pi\) | |||||||
\(662\) | −0.427316 | − | 0.740134i | −0.0166081 | − | 0.0287661i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 16.8393 | 0.653492 | ||||||||
\(665\) | 0.329675 | − | 12.4585i | 0.0127842 | − | 0.483119i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −1.82968 | − | 3.16910i | −0.0708456 | − | 0.122708i | ||||
\(668\) | 0.384544 | − | 0.222016i | 0.0148784 | − | 0.00859007i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 7.07040 | − | 4.08210i | 0.273154 | − | 0.157705i | ||||
\(671\) | 38.4939i | 1.48604i | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −7.12678 | − | 12.3439i | −0.274717 | − | 0.475824i | 0.695347 | − | 0.718675i | \(-0.255251\pi\) |
−0.970064 | + | 0.242851i | \(0.921918\pi\) | |||||||
\(674\) | 7.88982i | 0.303904i | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −0.177356 | − | 1.26432i | −0.00682138 | − | 0.0486276i | ||||
\(677\) | −5.13574 | + | 8.89537i | −0.197383 | + | 0.341877i | −0.947679 | − | 0.319225i | \(-0.896577\pi\) |
0.750296 | + | 0.661102i | \(0.229911\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 14.7269 | − | 24.0172i | 0.565165 | − | 0.921695i | ||||
\(680\) | −0.653092 | + | 1.13119i | −0.0250449 | + | 0.0433791i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 25.2691i | 0.967604i | ||||||||
\(683\) | − | 2.22201i | − | 0.0850230i | −0.999096 | − | 0.0425115i | \(-0.986464\pi\) | ||
0.999096 | − | 0.0425115i | \(-0.0135359\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 3.16377 | − | 5.47981i | 0.120881 | − | 0.209373i | ||||
\(686\) | 25.4601 | + | 2.02494i | 0.972069 | + | 0.0773127i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −8.43604 | + | 14.6117i | −0.321621 | + | 0.557064i | ||||
\(689\) | −19.3048 | − | 3.75506i | −0.735455 | − | 0.143056i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | − | 2.64015i | − | 0.100436i | −0.998738 | − | 0.0502179i | \(-0.984008\pi\) | ||
0.998738 | − | 0.0502179i | \(-0.0159916\pi\) | |||||||
\(692\) | 0.958402 | + | 1.66000i | 0.0364330 | + | 0.0631038i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | − | 2.57174i | − | 0.0976220i | ||||||
\(695\) | −6.92724 | + | 3.99944i | −0.262765 | + | 0.151708i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 0.449993 | − | 0.259804i | 0.0170447 | − | 0.00984077i | ||||
\(698\) | 15.3884 | + | 26.6534i | 0.582458 | + | 1.00885i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −0.993552 | + | 0.539100i | −0.0375527 | + | 0.0203761i | ||||
\(701\) | 8.89991 | 0.336145 | 0.168072 | − | 0.985775i | \(-0.446246\pi\) | ||||
0.168072 | + | 0.985775i | \(0.446246\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −3.62943 | − | 6.28635i | −0.136886 | − | 0.237094i | ||||
\(704\) | 38.1355 | + | 22.0175i | 1.43729 | + | 0.829818i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −1.60797 | + | 2.78509i | −0.0605168 | + | 0.104818i | ||||
\(707\) | 8.83147 | + | 5.41528i | 0.332142 | + | 0.203663i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −35.1558 | + | 20.2972i | −1.32030 | + | 0.762278i | −0.983777 | − | 0.179396i | \(-0.942586\pi\) |
−0.336527 | + | 0.941674i | \(0.609252\pi\) | |||||||
\(710\) | 8.96569 | − | 5.17634i | 0.336476 | − | 0.194265i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 14.4951 | 0.543226 | ||||||||
\(713\) | −4.83103 | + | 2.78920i | −0.180923 | + | 0.104456i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 15.0368 | + | 2.92487i | 0.562344 | + | 0.109384i | ||||
\(716\) | −1.02232 | + | 1.77071i | −0.0382059 | + | 0.0661745i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 2.25548 | − | 3.90661i | 0.0841738 | − | 0.145793i | ||||
\(719\) | −7.25674 | − | 12.5690i | −0.270631 | − | 0.468746i | 0.698393 | − | 0.715715i | \(-0.253899\pi\) |
−0.969024 | + | 0.246968i | \(0.920566\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −19.0675 | − | 11.6918i | −0.710109 | − | 0.435425i | ||||
\(722\) | −18.1059 | − | 10.4535i | −0.673834 | − | 0.389038i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 1.62555 | 0.0604129 | ||||||||
\(725\) | 4.95984 | − | 8.59070i | 0.184204 | − | 0.319051i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 30.6942 | 1.13839 | 0.569193 | − | 0.822204i | \(-0.307256\pi\) | ||||
0.569193 | + | 0.822204i | \(0.307256\pi\) | |||||||
\(728\) | 18.6563 | − | 20.3433i | 0.691449 | − | 0.753971i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | − | 5.55885i | − | 0.205742i | ||||||
\(731\) | −1.24542 | + | 2.15713i | −0.0460635 | + | 0.0797842i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −11.4873 | − | 6.63218i | −0.424292 | − | 0.244965i | 0.272620 | − | 0.962122i | \(-0.412110\pi\) |
−0.696912 | + | 0.717157i | \(0.745443\pi\) | |||||||
\(734\) | 4.95980 | + | 2.86354i | 0.183069 | + | 0.105695i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 0.890761i | 0.0328339i | ||||||||
\(737\) | −19.3613 | − | 33.5348i | −0.713184 | − | 1.23527i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −6.28279 | − | 3.62737i | −0.231116 | − | 0.133435i | 0.379971 | − | 0.924999i | \(-0.375934\pi\) |
−0.611087 | + | 0.791564i | \(0.709267\pi\) | |||||||
\(740\) | 0.0491505 | − | 0.0851312i | 0.00180681 | − | 0.00312948i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −9.49142 | − | 17.4925i | −0.348441 | − | 0.642171i | ||||
\(743\) | 40.0705 | − | 23.1347i | 1.47004 | − | 0.848730i | 0.470608 | − | 0.882342i | \(-0.344035\pi\) |
0.999435 | + | 0.0336128i | \(0.0107013\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −6.38250 | −0.233837 | ||||||||
\(746\) | 13.2673 | − | 7.65991i | 0.485752 | − | 0.280449i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 0.251121 | + | 0.144985i | 0.00918188 | + | 0.00530116i | ||||
\(749\) | 0.677140 | − | 25.5893i | 0.0247421 | − | 0.935012i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 36.0260 | 1.31461 | 0.657305 | − | 0.753625i | \(-0.271697\pi\) | ||||
0.657305 | + | 0.753625i | \(0.271697\pi\) | |||||||
\(752\) | −12.6306 | − | 7.29229i | −0.460591 | − | 0.265922i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −2.16473 | + | 11.1289i | −0.0788349 | + | 0.405291i | ||||
\(755\) | 1.20986 | 0.0440313 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 5.28132 | + | 9.14751i | 0.191953 | + | 0.332472i | 0.945897 | − | 0.324466i | \(-0.105185\pi\) |
−0.753945 | + | 0.656938i | \(0.771851\pi\) | |||||||
\(758\) | 3.19961 | + | 5.54189i | 0.116215 | + | 0.201291i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | − | 13.6301i | − | 0.494415i | ||||||
\(761\) | −6.76541 | + | 3.90601i | −0.245246 | + | 0.141593i | −0.617585 | − | 0.786504i | \(-0.711889\pi\) |
0.372340 | + | 0.928097i | \(0.378556\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 18.3766 | + | 33.8678i | 0.665278 | + | 1.22609i | ||||
\(764\) | −0.208695 | − | 0.361470i | −0.00755031 | − | 0.0130775i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −2.53010 | − | 4.38226i | −0.0914163 | − | 0.158338i | ||||
\(767\) | 29.9128 | + | 26.0096i | 1.08009 | + | 0.939152i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 21.9030 | − | 12.6457i | 0.789844 | − | 0.456017i | −0.0500637 | − | 0.998746i | \(-0.515942\pi\) |
0.839908 | + | 0.542729i | \(0.182609\pi\) | |||||||
\(770\) | 7.39300 | + | 13.6252i | 0.266425 | + | 0.491017i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −0.986345 | − | 0.569467i | −0.0354993 | − | 0.0204956i | ||||
\(773\) | 46.6004i | 1.67610i | 0.545592 | + | 0.838051i | \(0.316305\pi\) | ||||
−0.545592 | + | 0.838051i | \(0.683695\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −13.0958 | − | 7.56086i | −0.470415 | − | 0.271594i | ||||
\(776\) | 15.4057 | − | 26.6834i | 0.553032 | − | 0.957879i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −20.1634 | + | 11.6414i | −0.722895 | + | 0.417363i | ||||
\(779\) | −2.71106 | + | 4.69570i | −0.0971339 | + | 0.168241i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −24.5513 | − | 42.5241i | −0.878515 | − | 1.52163i | ||||
\(782\) | − | 1.23962i | − | 0.0443289i | ||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 26.5204 | + | 1.40454i | 0.947158 | + | 0.0501622i | ||||
\(785\) | − | 3.10848i | − | 0.110946i | ||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 39.7332i | 1.41633i | 0.706045 | + | 0.708167i | \(0.250478\pi\) | ||||
−0.706045 | + | 0.708167i | \(0.749522\pi\) | |||||||
\(788\) | 1.22653 | − | 0.708140i | 0.0436935 | − | 0.0252265i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 6.31788 | + | 10.9429i | 0.224780 | + | 0.389330i | ||||
\(791\) | −44.0079 | − | 26.9848i | −1.56474 | − | 0.959468i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 25.8439 | + | 5.02700i | 0.917744 | + | 0.178514i | ||||
\(794\) | 11.5210 | + | 19.9550i | 0.408865 | + | 0.708175i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −0.693270 | −0.0245723 | ||||||||
\(797\) | 1.39299 | − | 2.41273i | 0.0493422 | − | 0.0854632i | −0.840299 | − | 0.542123i | \(-0.817621\pi\) |
0.889642 | + | 0.456659i | \(0.150954\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −1.86467 | − | 1.07656i | −0.0659671 | − | 0.0380861i | ||||
\(800\) | −2.09115 | + | 1.20732i | −0.0739332 | + | 0.0426853i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 34.9086 | 1.23267 | ||||||||
\(803\) | −26.3656 | −0.930421 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −1.78887 | + | 2.91736i | −0.0630493 | + | 0.102823i | ||||
\(806\) | 16.9651 | + | 3.29995i | 0.597570 | + | 0.116236i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 9.81188 | + | 5.66489i | 0.345181 | + | 0.199290i | ||||
\(809\) | −20.7293 | + | 35.9042i | −0.728803 | + | 1.26232i | 0.228586 | + | 0.973524i | \(0.426590\pi\) |
−0.957389 | + | 0.288801i | \(0.906744\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 27.8622i | 0.978375i | 0.872179 | + | 0.489188i | \(0.162707\pi\) | ||||
−0.872179 | + | 0.489188i | \(0.837293\pi\) | |||||||
\(812\) | 0.520740 | − | 0.282553i | 0.0182744 | − | 0.00991566i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 7.81915 | + | 4.51439i | 0.274061 | + | 0.158229i | ||||
\(815\) | 11.5741 | 0.405423 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | − | 25.9920i | − | 0.909344i | ||||||
\(818\) | 7.90671 | 0.276452 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −0.0734276 | −0.00256420 | ||||||||
\(821\) | − | 22.4202i | − | 0.782469i | −0.920291 | − | 0.391235i | \(-0.872048\pi\) | ||
0.920291 | − | 0.391235i | \(-0.127952\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 2.36166 | 0.0823221 | 0.0411611 | − | 0.999153i | \(-0.486894\pi\) | ||||
0.0411611 | + | 0.999153i | \(0.486894\pi\) | |||||||
\(824\) | −21.1842 | − | 12.2307i | −0.737987 | − | 0.426077i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −1.06109 | + | 40.0990i | −0.0369201 | + | 1.39522i | ||||
\(827\) | − | 43.3148i | − | 1.50620i | −0.657904 | − | 0.753102i | \(-0.728557\pi\) | ||
0.657904 | − | 0.753102i | \(-0.271443\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −27.4640 | + | 47.5690i | −0.953864 | + | 1.65214i | −0.216917 | + | 0.976190i | \(0.569600\pi\) |
−0.736947 | + | 0.675951i | \(0.763733\pi\) | |||||||
\(830\) | 5.60162 | + | 3.23410i | 0.194435 | + | 0.112257i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 19.7623 | − | 22.7280i | 0.685134 | − | 0.787951i | ||||
\(833\) | 3.91523 | + | 0.207353i | 0.135655 | + | 0.00718437i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 3.64400 | 0.126106 | ||||||||
\(836\) | −3.02584 | −0.104651 | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −41.0190 | + | 23.6824i | −1.41698 | + | 0.818093i | ||||
\(839\) | 12.7661 | + | 7.37052i | 0.440735 | + | 0.254459i | 0.703910 | − | 0.710290i | \(-0.251436\pi\) |
−0.263174 | + | 0.964748i | \(0.584769\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 11.9004 | − | 20.6122i | 0.410360 | − | 0.710765i | ||||
\(842\) | −4.05673 | −0.139804 | ||||||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 1.29745 | + | 2.24725i | 0.0446600 | + | 0.0773535i | ||||
\(845\) | 3.92738 | − | 9.71340i | 0.135106 | − | 0.334151i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 39.0437 | − | 21.1851i | 1.34156 | − | 0.727928i | ||||
\(848\) | −10.3471 | − | 17.9217i | −0.355321 | − | 0.615434i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 2.91013 | − | 1.68017i | 0.0998168 | − | 0.0576292i | ||||
\(851\) | 1.99319i | 0.0683256i | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 24.1038i | 0.825297i | 0.910890 | + | 0.412649i | \(0.135396\pi\) | ||||
−0.910890 | + | 0.412649i | \(0.864604\pi\) | |||||||
\(854\) | 12.7064 | + | 23.4177i | 0.434805 | + | 0.801338i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | − | 27.9957i | − | 0.956873i | ||||||
\(857\) | 9.29249 | + | 16.0951i | 0.317425 | + | 0.549797i | 0.979950 | − | 0.199243i | \(-0.0638483\pi\) |
−0.662525 | + | 0.749040i | \(0.730515\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −14.7487 | + | 25.5456i | −0.503221 | + | 0.871604i | 0.496772 | + | 0.867881i | \(0.334518\pi\) |
−0.999993 | + | 0.00372294i | \(0.998815\pi\) | |||||||
\(860\) | 0.304832 | − | 0.175995i | 0.0103947 | − | 0.00600137i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −27.3712 | + | 47.4083i | −0.932266 | + | 1.61473i | ||||
\(863\) | 16.1457 | + | 9.32173i | 0.549606 | + | 0.317315i | 0.748963 | − | 0.662612i | \(-0.230552\pi\) |
−0.199357 | + | 0.979927i | \(0.563885\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 15.7304i | 0.534851i | ||||||||
\(866\) | 11.7477 | + | 6.78256i | 0.399204 | + | 0.230481i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −0.430728 | − | 0.793824i | −0.0146199 | − | 0.0269441i | ||||
\(869\) | 51.9020 | − | 29.9656i | 1.76065 | − | 1.01651i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −25.0430 | + | 8.61938i | −0.848549 | + | 0.292056i | ||||
\(872\) | 21.0705 | + | 36.4951i | 0.713536 | + | 1.23588i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 6.46776 | + | 11.2025i | 0.218775 | + | 0.378930i | ||||
\(875\) | −19.9313 | − | 0.527420i | −0.673802 | − | 0.0178301i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −32.6941 | + | 18.8759i | −1.10400 | + | 0.637395i | −0.937269 | − | 0.348608i | \(-0.886655\pi\) |
−0.166731 | + | 0.986002i | \(0.553321\pi\) | |||||||
\(878\) | 39.3673i | 1.32858i | ||||||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 8.05950 | + | 13.9595i | 0.271686 | + | 0.470574i | ||||
\(881\) | −14.9149 | − | 25.8334i | −0.502497 | − | 0.870350i | −0.999996 | − | 0.00288515i | \(-0.999082\pi\) |
0.497499 | − | 0.867464i | \(-0.334252\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −32.3979 | −1.09028 | −0.545138 | − | 0.838346i | \(-0.683523\pi\) | ||||
−0.545138 | + | 0.838346i | \(0.683523\pi\) | |||||||
\(884\) | 0.130134 | − | 0.149663i | 0.00437687 | − | 0.00503371i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −3.98777 | − | 2.30234i | −0.133972 | − | 0.0773487i | ||||
\(887\) | 25.9198 | 0.870302 | 0.435151 | − | 0.900358i | \(-0.356695\pi\) | ||||
0.435151 | + | 0.900358i | \(0.356695\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −4.45867 | + | 2.41927i | −0.149539 | + | 0.0811397i | ||||
\(890\) | 4.82181 | + | 2.78387i | 0.161627 | + | 0.0933156i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 1.95620 | − | 1.12941i | 0.0654984 | − | 0.0378155i | ||||
\(893\) | 22.4680 | 0.751863 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −14.5315 | + | 8.38976i | −0.485734 | + | 0.280439i | ||||
\(896\) | 27.5316 | + | 0.728536i | 0.919765 | + | 0.0243387i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −12.5391 | + | 21.7184i | −0.418435 | + | 0.724751i | ||||
\(899\) | 6.86376 | + | 3.96280i | 0.228919 | + | 0.132167i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −1.52755 | − | 2.64579i | −0.0508901 | − | 0.0881442i | ||||
\(902\) | − | 6.74420i | − | 0.224557i | ||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −48.8934 | − | 28.2286i | −1.62617 | − | 0.938869i | ||||
\(905\) | 11.5529 | + | 6.67010i | 0.384033 | + | 0.221722i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 7.77113 | − | 13.4600i | 0.258036 | − | 0.446931i | −0.707680 | − | 0.706533i | \(-0.750258\pi\) |
0.965716 | + | 0.259602i | \(0.0835914\pi\) | |||||||
\(908\) | 0.0445240i | 0.00147758i | ||||||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 10.1131 | − | 3.18415i | 0.335246 | − | 0.105554i | ||||
\(911\) | −23.6358 | −0.783090 | −0.391545 | − | 0.920159i | \(-0.628059\pi\) | ||||
−0.391545 | + | 0.920159i | \(0.628059\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 15.3393 | − | 26.5684i | 0.507656 | − | 0.879287i | ||||
\(914\) | −12.0382 | −0.398189 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 1.47421 | + | 0.851138i | 0.0487094 | + | 0.0281224i | ||||
\(917\) | −35.1441 | − | 21.5497i | −1.16056 | − | 0.711633i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −22.2409 | − | 38.5223i | −0.733659 | − | 1.27073i | −0.955309 | − | 0.295608i | \(-0.904478\pi\) |
0.221651 | − | 0.975126i | \(-0.428856\pi\) | |||||||
\(920\) | −1.87132 | + | 3.24123i | −0.0616957 | + | 0.106860i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 1.56608 | − | 2.71253i | 0.0515761 | − | 0.0893324i | ||||
\(923\) | −31.7560 | + | 10.9299i | −1.04526 | + | 0.359761i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −4.67920 | + | 2.70154i | −0.153851 | + | 0.0888259i | ||||
\(926\) | −7.56171 | −0.248493 | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 1.09601 | − | 0.632782i | 0.0359783 | − | 0.0207721i | ||||
\(929\) | 2.54846 | − | 1.47135i | 0.0836121 | − | 0.0482735i | −0.457611 | − | 0.889152i | \(-0.651295\pi\) |
0.541223 | + | 0.840879i | \(0.317961\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −36.4638 | + | 18.5539i | −1.19505 | + | 0.608080i | ||||
\(932\) | −0.383751 | + | 0.664676i | −0.0125702 | + | 0.0217722i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 22.5506 | + | 13.0196i | 0.737878 | + | 0.426014i | ||||
\(935\) | 1.18983 | + | 2.06085i | 0.0389116 | + | 0.0673968i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −0.951020 | −0.0310685 | −0.0155342 | − | 0.999879i | \(-0.504945\pi\) | ||||
−0.0155342 | + | 0.999879i | \(0.504945\pi\) | |||||||
\(938\) | −22.8480 | − | 14.0099i | −0.746013 | − | 0.457440i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 0.152133 | + | 0.263503i | 0.00496205 | + | 0.00859451i | ||||
\(941\) | 19.1125 | − | 11.0346i | 0.623050 | − | 0.359718i | −0.155006 | − | 0.987914i | \(-0.549540\pi\) |
0.778056 | + | 0.628196i | \(0.216206\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 1.28938 | − | 0.744423i | 0.0419879 | − | 0.0242417i | ||||
\(944\) | 41.7105i | 1.35756i | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 16.1648 | + | 27.9983i | 0.525563 | + | 0.910302i | ||||
\(947\) | − | 51.1717i | − | 1.66286i | −0.555631 | − | 0.831429i | \(-0.687523\pi\) | ||
0.555631 | − | 0.831429i | \(-0.312477\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −3.44314 | + | 17.7012i | −0.111769 | + | 0.574607i | ||||
\(950\) | −17.5326 | + | 30.3674i | −0.568833 | + | 0.985248i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 4.28641 | + | 0.113426i | 0.138923 | + | 0.00367617i | ||||
\(953\) | −22.9235 | + | 39.7047i | −0.742565 | + | 1.28616i | 0.208758 | + | 0.977967i | \(0.433058\pi\) |
−0.951324 | + | 0.308194i | \(0.900275\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | − | 3.42534i | − | 0.110842i | ||||||
\(956\) | 1.32889i | 0.0429793i | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 22.8478 | − | 39.5735i | 0.738177 | − | 1.27856i | ||||
\(959\) | −20.7647 | − | 0.549471i | −0.670526 | − | 0.0177434i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −9.45905 | + | 16.3836i | −0.305131 | + | 0.528502i | ||||
\(962\) | 4.05198 | − | 4.66006i | 0.130641 | − | 0.150246i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | − | 2.21548i | − | 0.0713559i | ||||||
\(965\) | −4.67338 | − | 8.09453i | −0.150441 | − | 0.260572i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 19.2609i | 0.619387i | 0.950836 | + | 0.309694i | \(0.100227\pi\) | ||||
−0.950836 | + | 0.309694i | \(0.899773\pi\) | |||||||
\(968\) | 42.0726 | − | 24.2906i | 1.35226 | − | 0.780730i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 10.2494 | − | 5.91752i | 0.329090 | − | 0.190000i | ||||
\(971\) | 23.6663 | + | 40.9912i | 0.759487 | + | 1.31547i | 0.943112 | + | 0.332474i | \(0.107883\pi\) |
−0.183625 | + | 0.982996i | \(0.558783\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 22.3853 | + | 13.7262i | 0.717641 | + | 0.440043i | ||||
\(974\) | −22.0046 | −0.705072 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 13.8520 | + | 23.9923i | 0.443390 | + | 0.767975i | ||||
\(977\) | −41.4454 | − | 23.9285i | −1.32596 | − | 0.765541i | −0.341285 | − | 0.939960i | \(-0.610862\pi\) |
−0.984672 | + | 0.174418i | \(0.944195\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 13.2039 | − | 22.8698i | 0.421998 | − | 0.730921i | ||||
\(980\) | −0.464499 | − | 0.302014i | −0.0148379 | − | 0.00964747i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 37.8506 | − | 21.8531i | 1.20786 | − | 0.697359i | ||||
\(983\) | −13.6560 | + | 7.88432i | −0.435560 | + | 0.251471i | −0.701712 | − | 0.712460i | \(-0.747581\pi\) |
0.266152 | + | 0.963931i | \(0.414248\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 11.6228 | 0.370335 | ||||||||
\(986\) | −1.52526 | + | 0.880608i | −0.0485741 | + | 0.0280443i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −0.395151 | + | 2.03148i | −0.0125714 | + | 0.0646300i | ||||
\(989\) | −3.56853 | + | 6.18088i | −0.113473 | + | 0.196541i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 6.06892 | − | 10.5117i | 0.192786 | − | 0.333914i | −0.753387 | − | 0.657578i | \(-0.771581\pi\) |
0.946172 | + | 0.323663i | \(0.104914\pi\) | |||||||
\(992\) | −0.964622 | − | 1.67077i | −0.0306268 | − | 0.0530471i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −28.9726 | − | 17.7654i | −0.918954 | − | 0.563485i | ||||
\(995\) | −4.92715 | − | 2.84469i | −0.156201 | − | 0.0901828i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 33.7876 | 1.07006 | 0.535032 | − | 0.844832i | \(-0.320299\pi\) | ||||
0.535032 | + | 0.844832i | \(0.320299\pi\) | |||||||
\(998\) | 16.6993 | − | 28.9240i | 0.528607 | − | 0.915574i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 819.2.bm.f.478.2 | 12 | ||
3.2 | odd | 2 | 91.2.k.b.23.5 | yes | 12 | ||
7.4 | even | 3 | 819.2.do.e.361.5 | 12 | |||
13.4 | even | 6 | 819.2.do.e.667.5 | 12 | |||
21.2 | odd | 6 | 637.2.q.g.491.5 | 12 | |||
21.5 | even | 6 | 637.2.q.i.491.5 | 12 | |||
21.11 | odd | 6 | 91.2.u.b.88.2 | yes | 12 | ||
21.17 | even | 6 | 637.2.u.g.361.2 | 12 | |||
21.20 | even | 2 | 637.2.k.i.569.5 | 12 | |||
39.2 | even | 12 | 1183.2.e.j.170.3 | 24 | |||
39.11 | even | 12 | 1183.2.e.j.170.10 | 24 | |||
39.17 | odd | 6 | 91.2.u.b.30.2 | yes | 12 | ||
91.4 | even | 6 | inner | 819.2.bm.f.550.5 | 12 | ||
273.2 | even | 12 | 8281.2.a.cp.1.10 | 12 | |||
273.11 | even | 12 | 1183.2.e.j.508.10 | 24 | |||
273.17 | even | 6 | 637.2.k.i.459.2 | 12 | |||
273.89 | odd | 12 | 8281.2.a.co.1.3 | 12 | |||
273.95 | odd | 6 | 91.2.k.b.4.2 | ✓ | 12 | ||
273.128 | even | 12 | 8281.2.a.cp.1.3 | 12 | |||
273.158 | even | 12 | 1183.2.e.j.508.3 | 24 | |||
273.173 | even | 6 | 637.2.q.i.589.5 | 12 | |||
273.212 | odd | 6 | 637.2.q.g.589.5 | 12 | |||
273.236 | odd | 12 | 8281.2.a.co.1.10 | 12 | |||
273.251 | even | 6 | 637.2.u.g.30.2 | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
91.2.k.b.4.2 | ✓ | 12 | 273.95 | odd | 6 | ||
91.2.k.b.23.5 | yes | 12 | 3.2 | odd | 2 | ||
91.2.u.b.30.2 | yes | 12 | 39.17 | odd | 6 | ||
91.2.u.b.88.2 | yes | 12 | 21.11 | odd | 6 | ||
637.2.k.i.459.2 | 12 | 273.17 | even | 6 | |||
637.2.k.i.569.5 | 12 | 21.20 | even | 2 | |||
637.2.q.g.491.5 | 12 | 21.2 | odd | 6 | |||
637.2.q.g.589.5 | 12 | 273.212 | odd | 6 | |||
637.2.q.i.491.5 | 12 | 21.5 | even | 6 | |||
637.2.q.i.589.5 | 12 | 273.173 | even | 6 | |||
637.2.u.g.30.2 | 12 | 273.251 | even | 6 | |||
637.2.u.g.361.2 | 12 | 21.17 | even | 6 | |||
819.2.bm.f.478.2 | 12 | 1.1 | even | 1 | trivial | ||
819.2.bm.f.550.5 | 12 | 91.4 | even | 6 | inner | ||
819.2.do.e.361.5 | 12 | 7.4 | even | 3 | |||
819.2.do.e.667.5 | 12 | 13.4 | even | 6 | |||
1183.2.e.j.170.3 | 24 | 39.2 | even | 12 | |||
1183.2.e.j.170.10 | 24 | 39.11 | even | 12 | |||
1183.2.e.j.508.3 | 24 | 273.158 | even | 12 | |||
1183.2.e.j.508.10 | 24 | 273.11 | even | 12 | |||
8281.2.a.co.1.3 | 12 | 273.89 | odd | 12 | |||
8281.2.a.co.1.10 | 12 | 273.236 | odd | 12 | |||
8281.2.a.cp.1.3 | 12 | 273.128 | even | 12 | |||
8281.2.a.cp.1.10 | 12 | 273.2 | even | 12 |