Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [230,2,Mod(9,230)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(230, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("230.9");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 230 = 2 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 230.j (of order \(22\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.83655924649\) |
Analytic rank: | \(0\) |
Dimension: | \(120\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 9.8 | ||
Character | \(\chi\) | \(=\) | 230.9 |
Dual form | 230.2.j.a.179.8 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/230\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(51\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{5}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.281733 | + | 0.959493i | 0.199215 | + | 0.678464i | ||||
\(3\) | −1.78070 | + | 1.54299i | −1.02809 | + | 0.890844i | −0.994088 | − | 0.108577i | \(-0.965370\pi\) |
−0.0340012 | + | 0.999422i | \(0.510825\pi\) | |||||||
\(4\) | −0.841254 | + | 0.540641i | −0.420627 | + | 0.270320i | ||||
\(5\) | −0.284267 | − | 2.21793i | −0.127128 | − | 0.991886i | ||||
\(6\) | −1.98217 | − | 1.27386i | −0.809217 | − | 0.520052i | ||||
\(7\) | −3.91611 | − | 1.78843i | −1.48015 | − | 0.675963i | −0.498543 | − | 0.866865i | \(-0.666131\pi\) |
−0.981609 | + | 0.190902i | \(0.938859\pi\) | |||||||
\(8\) | −0.755750 | − | 0.654861i | −0.267198 | − | 0.231528i | ||||
\(9\) | 0.363147 | − | 2.52574i | 0.121049 | − | 0.841913i | ||||
\(10\) | 2.04800 | − | 0.897613i | 0.647633 | − | 0.283850i | ||||
\(11\) | −1.25450 | − | 0.368356i | −0.378247 | − | 0.111063i | 0.0870819 | − | 0.996201i | \(-0.472246\pi\) |
−0.465329 | + | 0.885138i | \(0.654064\pi\) | |||||||
\(12\) | 0.663820 | − | 2.26076i | 0.191628 | − | 0.652626i | ||||
\(13\) | 3.30504 | − | 1.50936i | 0.916654 | − | 0.418622i | 0.0994977 | − | 0.995038i | \(-0.468276\pi\) |
0.817157 | + | 0.576416i | \(0.195549\pi\) | |||||||
\(14\) | 0.612689 | − | 4.26134i | 0.163748 | − | 1.13889i | ||||
\(15\) | 3.92843 | + | 3.51085i | 1.01432 | + | 0.906497i | ||||
\(16\) | 0.415415 | − | 0.909632i | 0.103854 | − | 0.227408i | ||||
\(17\) | −2.01019 | + | 3.12792i | −0.487543 | + | 0.758631i | −0.994656 | − | 0.103248i | \(-0.967076\pi\) |
0.507113 | + | 0.861880i | \(0.330713\pi\) | |||||||
\(18\) | 2.52574 | − | 0.363147i | 0.595323 | − | 0.0855945i | ||||
\(19\) | −6.15283 | + | 3.95418i | −1.41156 | + | 0.907152i | −0.999991 | − | 0.00422920i | \(-0.998654\pi\) |
−0.411564 | + | 0.911381i | \(0.635017\pi\) | |||||||
\(20\) | 1.43824 | + | 1.71215i | 0.321600 | + | 0.382849i | ||||
\(21\) | 9.73296 | − | 2.85785i | 2.12391 | − | 0.623635i | ||||
\(22\) | − | 1.30747i | − | 0.278753i | ||||||
\(23\) | −1.70861 | − | 4.48114i | −0.356270 | − | 0.934383i | ||||
\(24\) | 2.35621 | 0.480959 | ||||||||
\(25\) | −4.83839 | + | 1.26096i | −0.967677 | + | 0.252193i | ||||
\(26\) | 2.37936 | + | 2.74593i | 0.466631 | + | 0.538521i | ||||
\(27\) | −0.571055 | − | 0.888580i | −0.109900 | − | 0.171007i | ||||
\(28\) | 4.26134 | − | 0.612689i | 0.805318 | − | 0.115787i | ||||
\(29\) | −1.95209 | − | 1.25453i | −0.362494 | − | 0.232961i | 0.346697 | − | 0.937977i | \(-0.387303\pi\) |
−0.709191 | + | 0.705016i | \(0.750940\pi\) | |||||||
\(30\) | −2.26187 | + | 4.75842i | −0.412958 | + | 0.868764i | ||||
\(31\) | 3.09222 | − | 3.56861i | 0.555378 | − | 0.640941i | −0.406749 | − | 0.913540i | \(-0.633338\pi\) |
0.962128 | + | 0.272599i | \(0.0878832\pi\) | |||||||
\(32\) | 0.989821 | + | 0.142315i | 0.174977 | + | 0.0251579i | ||||
\(33\) | 2.80227 | − | 1.27975i | 0.487812 | − | 0.222776i | ||||
\(34\) | −3.56755 | − | 1.04753i | −0.611830 | − | 0.179649i | ||||
\(35\) | −2.85338 | + | 9.19404i | −0.482310 | + | 1.55408i | ||||
\(36\) | 1.06002 | + | 2.32112i | 0.176670 | + | 0.386853i | ||||
\(37\) | −5.75617 | − | 0.827612i | −0.946308 | − | 0.136059i | −0.348152 | − | 0.937438i | \(-0.613191\pi\) |
−0.598156 | + | 0.801379i | \(0.704100\pi\) | |||||||
\(38\) | −5.52746 | − | 4.78957i | −0.896673 | − | 0.776971i | ||||
\(39\) | −3.55637 | + | 7.78737i | −0.569475 | + | 1.24698i | ||||
\(40\) | −1.23760 | + | 1.86235i | −0.195681 | + | 0.294464i | ||||
\(41\) | 0.430941 | + | 2.99726i | 0.0673017 | + | 0.468093i | 0.995404 | + | 0.0957675i | \(0.0305305\pi\) |
−0.928102 | + | 0.372326i | \(0.878560\pi\) | |||||||
\(42\) | 5.48418 | + | 8.53356i | 0.846228 | + | 1.31676i | ||||
\(43\) | −2.51557 | + | 2.17975i | −0.383621 | + | 0.332409i | −0.825229 | − | 0.564799i | \(-0.808954\pi\) |
0.441608 | + | 0.897208i | \(0.354408\pi\) | |||||||
\(44\) | 1.25450 | − | 0.368356i | 0.189124 | − | 0.0555317i | ||||
\(45\) | −5.70513 | − | 0.0874487i | −0.850471 | − | 0.0130361i | ||||
\(46\) | 3.81826 | − | 2.90188i | 0.562971 | − | 0.427859i | ||||
\(47\) | 5.43158i | 0.792277i | 0.918191 | + | 0.396138i | \(0.129650\pi\) | ||||
−0.918191 | + | 0.396138i | \(0.870350\pi\) | |||||||
\(48\) | 0.663820 | + | 2.26076i | 0.0958142 | + | 0.326313i | ||||
\(49\) | 7.55344 | + | 8.71714i | 1.07906 | + | 1.24531i | ||||
\(50\) | −2.57302 | − | 4.28714i | −0.363879 | − | 0.606293i | ||||
\(51\) | −1.24679 | − | 8.67159i | −0.174585 | − | 1.21427i | ||||
\(52\) | −1.96436 | + | 3.05660i | −0.272407 | + | 0.423874i | ||||
\(53\) | 4.88892 | + | 2.23270i | 0.671545 | + | 0.306684i | 0.721850 | − | 0.692050i | \(-0.243292\pi\) |
−0.0503049 | + | 0.998734i | \(0.516019\pi\) | |||||||
\(54\) | 0.691701 | − | 0.798266i | 0.0941286 | − | 0.108630i | ||||
\(55\) | −0.460372 | + | 2.88711i | −0.0620765 | + | 0.389297i | ||||
\(56\) | 1.78843 | + | 3.91611i | 0.238989 | + | 0.523313i | ||||
\(57\) | 4.85510 | − | 16.5350i | 0.643074 | − | 2.19011i | ||||
\(58\) | 0.653748 | − | 2.22646i | 0.0858414 | − | 0.292349i | ||||
\(59\) | 2.87534 | + | 6.29611i | 0.374337 | + | 0.819683i | 0.999240 | + | 0.0389811i | \(0.0124112\pi\) |
−0.624903 | + | 0.780702i | \(0.714862\pi\) | |||||||
\(60\) | −5.20291 | − | 0.829644i | −0.671693 | − | 0.107107i | ||||
\(61\) | −6.18005 | + | 7.13216i | −0.791274 | + | 0.913179i | −0.997869 | − | 0.0652474i | \(-0.979216\pi\) |
0.206595 | + | 0.978427i | \(0.433762\pi\) | |||||||
\(62\) | 4.29523 | + | 1.96157i | 0.545495 | + | 0.249119i | ||||
\(63\) | −5.93923 | + | 9.24163i | −0.748273 | + | 1.16434i | ||||
\(64\) | 0.142315 | + | 0.989821i | 0.0177894 | + | 0.123728i | ||||
\(65\) | −4.28717 | − | 6.90128i | −0.531758 | − | 0.855998i | ||||
\(66\) | 2.01740 | + | 2.32821i | 0.248325 | + | 0.286582i | ||||
\(67\) | −0.940726 | − | 3.20382i | −0.114928 | − | 0.391409i | 0.881858 | − | 0.471514i | \(-0.156292\pi\) |
−0.996786 | + | 0.0801056i | \(0.974474\pi\) | |||||||
\(68\) | − | 3.71816i | − | 0.450893i | ||||||
\(69\) | 9.95688 | + | 5.34322i | 1.19867 | + | 0.643248i | ||||
\(70\) | −9.62551 | − | 0.147541i | −1.15047 | − | 0.0176345i | ||||
\(71\) | 12.8774 | − | 3.78114i | 1.52826 | − | 0.448739i | 0.593746 | − | 0.804653i | \(-0.297648\pi\) |
0.934519 | + | 0.355914i | \(0.115830\pi\) | |||||||
\(72\) | −1.92846 | + | 1.67102i | −0.227271 | + | 0.196931i | ||||
\(73\) | −7.36715 | − | 11.4635i | −0.862260 | − | 1.34170i | −0.938738 | − | 0.344631i | \(-0.888004\pi\) |
0.0764786 | − | 0.997071i | \(-0.475632\pi\) | |||||||
\(74\) | −0.827612 | − | 5.75617i | −0.0962080 | − | 0.669141i | ||||
\(75\) | 6.67007 | − | 9.71097i | 0.770194 | − | 1.12133i | ||||
\(76\) | 3.03830 | − | 6.65294i | 0.348516 | − | 0.763144i | ||||
\(77\) | 4.25400 | + | 3.68611i | 0.484788 | + | 0.420072i | ||||
\(78\) | −8.47387 | − | 1.21836i | −0.959477 | − | 0.137952i | ||||
\(79\) | −6.84642 | − | 14.9916i | −0.770282 | − | 1.68668i | −0.726030 | − | 0.687663i | \(-0.758637\pi\) |
−0.0442519 | − | 0.999020i | \(-0.514090\pi\) | |||||||
\(80\) | −2.13558 | − | 0.662782i | −0.238766 | − | 0.0741012i | ||||
\(81\) | 9.73300 | + | 2.85787i | 1.08144 | + | 0.317541i | ||||
\(82\) | −2.75444 | + | 1.25791i | −0.304177 | + | 0.138913i | ||||
\(83\) | 9.90631 | + | 1.42431i | 1.08736 | + | 0.156339i | 0.662604 | − | 0.748970i | \(-0.269451\pi\) |
0.424755 | + | 0.905308i | \(0.360360\pi\) | |||||||
\(84\) | −6.64281 | + | 7.66622i | −0.724790 | + | 0.836453i | ||||
\(85\) | 7.50892 | + | 3.56929i | 0.814456 | + | 0.387144i | ||||
\(86\) | −2.80018 | − | 1.79956i | −0.301951 | − | 0.194052i | ||||
\(87\) | 5.41183 | − | 0.778103i | 0.580209 | − | 0.0834214i | ||||
\(88\) | 0.706869 | + | 1.09991i | 0.0753525 | + | 0.117251i | ||||
\(89\) | −6.13634 | − | 7.08172i | −0.650451 | − | 0.750660i | 0.330735 | − | 0.943724i | \(-0.392703\pi\) |
−0.981186 | + | 0.193063i | \(0.938158\pi\) | |||||||
\(90\) | −1.52342 | − | 5.49867i | −0.160582 | − | 0.579611i | ||||
\(91\) | −15.6423 | −1.63976 | ||||||||
\(92\) | 3.86006 | + | 2.84603i | 0.402439 | + | 0.296720i | ||||
\(93\) | 11.1259i | 1.15370i | ||||||||
\(94\) | −5.21156 | + | 1.53025i | −0.537531 | + | 0.157833i | ||||
\(95\) | 10.5191 | + | 12.5225i | 1.07924 | + | 1.28478i | ||||
\(96\) | −1.98217 | + | 1.27386i | −0.202304 | + | 0.130013i | ||||
\(97\) | 4.82382 | − | 0.693560i | 0.489784 | − | 0.0704203i | 0.107002 | − | 0.994259i | \(-0.465875\pi\) |
0.382783 | + | 0.923838i | \(0.374966\pi\) | |||||||
\(98\) | −6.23598 | + | 9.70338i | −0.629929 | + | 0.980189i | ||||
\(99\) | −1.38594 | + | 3.03478i | −0.139292 | + | 0.305007i | ||||
\(100\) | 3.38858 | − | 3.67662i | 0.338858 | − | 0.367662i | ||||
\(101\) | −0.244633 | + | 1.70146i | −0.0243419 | + | 0.169301i | −0.998366 | − | 0.0571427i | \(-0.981801\pi\) |
0.974024 | + | 0.226444i | \(0.0727101\pi\) | |||||||
\(102\) | 7.96907 | − | 3.63935i | 0.789055 | − | 0.360350i | ||||
\(103\) | −3.10262 | + | 10.5665i | −0.305710 | + | 1.04115i | 0.653139 | + | 0.757238i | \(0.273452\pi\) |
−0.958849 | + | 0.283915i | \(0.908367\pi\) | |||||||
\(104\) | −3.48621 | − | 1.02364i | −0.341851 | − | 0.100376i | ||||
\(105\) | −9.10526 | − | 20.7746i | −0.888583 | − | 2.02739i | ||||
\(106\) | −0.764887 | + | 5.31991i | −0.0742924 | + | 0.516715i | ||||
\(107\) | 11.8399 | + | 10.2593i | 1.14460 | + | 0.991806i | 0.999997 | + | 0.00231658i | \(0.000737390\pi\) |
0.144607 | + | 0.989489i | \(0.453808\pi\) | |||||||
\(108\) | 0.960805 | + | 0.438785i | 0.0924535 | + | 0.0422221i | ||||
\(109\) | −12.3075 | − | 7.90955i | −1.17885 | − | 0.757598i | −0.203672 | − | 0.979039i | \(-0.565287\pi\) |
−0.975174 | + | 0.221441i | \(0.928924\pi\) | |||||||
\(110\) | −2.89986 | + | 0.371669i | −0.276491 | + | 0.0354372i | ||||
\(111\) | 11.5270 | − | 7.40797i | 1.09410 | − | 0.703133i | ||||
\(112\) | −3.25362 | + | 2.81928i | −0.307439 | + | 0.266397i | ||||
\(113\) | −2.42346 | − | 8.25354i | −0.227980 | − | 0.776428i | −0.991439 | − | 0.130572i | \(-0.958319\pi\) |
0.763459 | − | 0.645856i | \(-0.223499\pi\) | |||||||
\(114\) | 17.2330 | 1.61402 | ||||||||
\(115\) | −9.45314 | + | 5.06341i | −0.881510 | + | 0.472165i | ||||
\(116\) | 2.32046 | 0.215449 | ||||||||
\(117\) | −2.61204 | − | 8.89580i | −0.241483 | − | 0.822417i | ||||
\(118\) | −5.23100 | + | 4.53268i | −0.481552 | + | 0.417267i | ||||
\(119\) | 13.4662 | − | 8.65420i | 1.23444 | − | 0.793329i | ||||
\(120\) | −0.669791 | − | 5.22589i | −0.0611433 | − | 0.477056i | ||||
\(121\) | −7.81570 | − | 5.02284i | −0.710518 | − | 0.456622i | ||||
\(122\) | −8.58438 | − | 3.92035i | −0.777193 | − | 0.354932i | ||||
\(123\) | −5.39211 | − | 4.67229i | −0.486191 | − | 0.421286i | ||||
\(124\) | −0.672003 | + | 4.67388i | −0.0603476 | + | 0.419727i | ||||
\(125\) | 4.17211 | + | 10.3727i | 0.373165 | + | 0.927765i | ||||
\(126\) | −10.5405 | − | 3.09498i | −0.939027 | − | 0.275723i | ||||
\(127\) | 1.77591 | − | 6.04819i | 0.157586 | − | 0.536690i | −0.842411 | − | 0.538835i | \(-0.818865\pi\) |
0.999998 | + | 0.00214510i | \(0.000682807\pi\) | |||||||
\(128\) | −0.909632 | + | 0.415415i | −0.0804009 | + | 0.0367178i | ||||
\(129\) | 1.11615 | − | 7.76299i | 0.0982714 | − | 0.683493i | ||||
\(130\) | 5.41389 | − | 6.05782i | 0.474830 | − | 0.531306i | ||||
\(131\) | −3.36642 | + | 7.37143i | −0.294125 | + | 0.644045i | −0.997787 | − | 0.0664903i | \(-0.978820\pi\) |
0.703662 | + | 0.710535i | \(0.251547\pi\) | |||||||
\(132\) | −1.66553 | + | 2.59162i | −0.144966 | + | 0.225571i | ||||
\(133\) | 31.1669 | − | 4.48113i | 2.70252 | − | 0.388563i | ||||
\(134\) | 2.80901 | − | 1.80524i | 0.242661 | − | 0.155949i | ||||
\(135\) | −1.80847 | + | 1.51915i | −0.155648 | + | 0.130748i | ||||
\(136\) | 3.56755 | − | 1.04753i | 0.305915 | − | 0.0898247i | ||||
\(137\) | − | 1.57636i | − | 0.134678i | −0.997730 | − | 0.0673389i | \(-0.978549\pi\) | ||
0.997730 | − | 0.0673389i | \(-0.0214509\pi\) | |||||||
\(138\) | −2.32161 | + | 11.0589i | −0.197628 | + | 0.941397i | ||||
\(139\) | 7.81443 | 0.662812 | 0.331406 | − | 0.943488i | \(-0.392477\pi\) | ||||
0.331406 | + | 0.943488i | \(0.392477\pi\) | |||||||
\(140\) | −2.57025 | − | 9.27717i | −0.217226 | − | 0.784064i | ||||
\(141\) | −8.38085 | − | 9.67202i | −0.705795 | − | 0.814531i | ||||
\(142\) | 7.25596 | + | 11.2905i | 0.608907 | + | 0.947477i | ||||
\(143\) | −4.70217 | + | 0.676070i | −0.393215 | + | 0.0565358i | ||||
\(144\) | −2.14664 | − | 1.37956i | −0.178886 | − | 0.114963i | ||||
\(145\) | −2.22755 | + | 4.68622i | −0.184988 | + | 0.389169i | ||||
\(146\) | 8.92359 | − | 10.2984i | 0.738522 | − | 0.852299i | ||||
\(147\) | −26.9009 | − | 3.86776i | −2.21875 | − | 0.319008i | ||||
\(148\) | 5.28984 | − | 2.41579i | 0.434822 | − | 0.198577i | ||||
\(149\) | −13.5818 | − | 3.98799i | −1.11267 | − | 0.326709i | −0.326794 | − | 0.945096i | \(-0.605968\pi\) |
−0.785874 | + | 0.618387i | \(0.787787\pi\) | |||||||
\(150\) | 11.1968 | + | 3.66399i | 0.914214 | + | 0.299164i | ||||
\(151\) | −3.59910 | − | 7.88093i | −0.292890 | − | 0.641341i | 0.704790 | − | 0.709416i | \(-0.251041\pi\) |
−0.997680 | + | 0.0680756i | \(0.978314\pi\) | |||||||
\(152\) | 7.23943 | + | 1.04087i | 0.587196 | + | 0.0844260i | ||||
\(153\) | 7.17031 | + | 6.21311i | 0.579685 | + | 0.502300i | ||||
\(154\) | −2.33831 | + | 5.12018i | −0.188426 | + | 0.412596i | ||||
\(155\) | −8.79392 | − | 5.84387i | −0.706345 | − | 0.469391i | ||||
\(156\) | −1.21836 | − | 8.47387i | −0.0975468 | − | 0.678453i | ||||
\(157\) | −7.84285 | − | 12.2037i | −0.625927 | − | 0.973962i | −0.998935 | − | 0.0461338i | \(-0.985310\pi\) |
0.373008 | − | 0.927828i | \(-0.378326\pi\) | |||||||
\(158\) | 12.4554 | − | 10.7927i | 0.990902 | − | 0.858621i | ||||
\(159\) | −12.1507 | + | 3.56778i | −0.963616 | + | 0.282943i | ||||
\(160\) | 0.0342706 | − | 2.23581i | 0.00270933 | − | 0.176756i | ||||
\(161\) | −1.32310 | + | 20.6044i | −0.104275 | + | 1.62385i | ||||
\(162\) | 10.1439i | 0.796980i | ||||||||
\(163\) | 1.26950 | + | 4.32352i | 0.0994349 | + | 0.338644i | 0.994152 | − | 0.107989i | \(-0.0344411\pi\) |
−0.894717 | + | 0.446633i | \(0.852623\pi\) | |||||||
\(164\) | −1.98297 | − | 2.28847i | −0.154844 | − | 0.178700i | ||||
\(165\) | −3.63499 | − | 5.85143i | −0.282983 | − | 0.455533i | ||||
\(166\) | 1.42431 | + | 9.90631i | 0.110548 | + | 0.768879i | ||||
\(167\) | 0.494968 | − | 0.770186i | 0.0383018 | − | 0.0595988i | −0.821575 | − | 0.570101i | \(-0.806904\pi\) |
0.859876 | + | 0.510502i | \(0.170540\pi\) | |||||||
\(168\) | −9.22718 | − | 4.21391i | −0.711892 | − | 0.325110i | ||||
\(169\) | 0.131948 | − | 0.152276i | 0.0101499 | − | 0.0117136i | ||||
\(170\) | −1.30920 | + | 8.21034i | −0.100411 | + | 0.629704i | ||||
\(171\) | 7.75286 | + | 16.9764i | 0.592876 | + | 1.29822i | ||||
\(172\) | 0.937768 | − | 3.19374i | 0.0715041 | − | 0.243521i | ||||
\(173\) | −3.71057 | + | 12.6370i | −0.282109 | + | 0.960776i | 0.689520 | + | 0.724267i | \(0.257822\pi\) |
−0.971629 | + | 0.236509i | \(0.923997\pi\) | |||||||
\(174\) | 2.27127 | + | 4.97339i | 0.172185 | + | 0.377032i | ||||
\(175\) | 21.2028 | + | 3.71503i | 1.60278 | + | 0.280830i | ||||
\(176\) | −0.856208 | + | 0.988116i | −0.0645391 | + | 0.0744821i | ||||
\(177\) | −14.8349 | − | 6.77489i | −1.11506 | − | 0.509232i | ||||
\(178\) | 5.06605 | − | 7.88293i | 0.379716 | − | 0.590850i | ||||
\(179\) | −0.708769 | − | 4.92960i | −0.0529759 | − | 0.368455i | −0.999014 | − | 0.0443996i | \(-0.985863\pi\) |
0.946038 | − | 0.324056i | \(-0.105047\pi\) | |||||||
\(180\) | 4.84674 | − | 3.01086i | 0.361255 | − | 0.224416i | ||||
\(181\) | 4.82808 | + | 5.57190i | 0.358868 | + | 0.414156i | 0.906260 | − | 0.422720i | \(-0.138925\pi\) |
−0.547392 | + | 0.836876i | \(0.684379\pi\) | |||||||
\(182\) | −4.40695 | − | 15.0087i | −0.326665 | − | 1.11252i | ||||
\(183\) | − | 22.2360i | − | 1.64373i | ||||||
\(184\) | −1.64324 | + | 4.50552i | −0.121142 | + | 0.332152i | ||||
\(185\) | −0.199296 | + | 13.0020i | −0.0146525 | + | 0.955927i | ||||
\(186\) | −10.6752 | + | 3.13452i | −0.782744 | + | 0.229834i | ||||
\(187\) | 3.67398 | − | 3.18352i | 0.268668 | − | 0.232802i | ||||
\(188\) | −2.93653 | − | 4.56933i | −0.214169 | − | 0.333253i | ||||
\(189\) | 0.647156 | + | 4.50107i | 0.0470737 | + | 0.327405i | ||||
\(190\) | −9.05164 | + | 13.6210i | −0.656675 | + | 0.988172i | ||||
\(191\) | 9.03003 | − | 19.7730i | 0.653390 | − | 1.43072i | −0.235165 | − | 0.971955i | \(-0.575563\pi\) |
0.888555 | − | 0.458769i | \(-0.151710\pi\) | |||||||
\(192\) | −1.78070 | − | 1.54299i | −0.128511 | − | 0.111356i | ||||
\(193\) | 4.41957 | + | 0.635438i | 0.318127 | + | 0.0457398i | 0.299529 | − | 0.954087i | \(-0.403170\pi\) |
0.0185985 | + | 0.999827i | \(0.494080\pi\) | |||||||
\(194\) | 2.02449 | + | 4.43302i | 0.145350 | + | 0.318272i | ||||
\(195\) | 18.2828 | + | 5.67408i | 1.30926 | + | 0.406329i | ||||
\(196\) | −11.0672 | − | 3.24962i | −0.790514 | − | 0.232116i | ||||
\(197\) | −8.24566 | + | 3.76567i | −0.587479 | + | 0.268293i | −0.686899 | − | 0.726753i | \(-0.741029\pi\) |
0.0994199 | + | 0.995046i | \(0.468301\pi\) | |||||||
\(198\) | −3.30232 | − | 0.474802i | −0.234686 | − | 0.0337427i | ||||
\(199\) | −4.76383 | + | 5.49775i | −0.337699 | + | 0.389725i | −0.899045 | − | 0.437856i | \(-0.855738\pi\) |
0.561346 | + | 0.827581i | \(0.310284\pi\) | |||||||
\(200\) | 4.48236 | + | 2.21550i | 0.316951 | + | 0.156659i | ||||
\(201\) | 6.61861 | + | 4.25352i | 0.466840 | + | 0.300020i | ||||
\(202\) | −1.70146 | + | 0.244633i | −0.119714 | + | 0.0172123i | ||||
\(203\) | 5.40097 | + | 8.40408i | 0.379074 | + | 0.589851i | ||||
\(204\) | 5.73708 | + | 6.62094i | 0.401676 | + | 0.463559i | ||||
\(205\) | 6.52520 | − | 1.80782i | 0.455740 | − | 0.126263i | ||||
\(206\) | −11.0126 | −0.767287 | ||||||||
\(207\) | −11.9387 | + | 2.68819i | −0.829796 | + | 0.186842i | ||||
\(208\) | − | 3.63339i | − | 0.251930i | ||||||
\(209\) | 9.17529 | − | 2.69411i | 0.634668 | − | 0.186355i | ||||
\(210\) | 17.3678 | − | 14.5893i | 1.19849 | − | 1.00676i | ||||
\(211\) | −20.4414 | + | 13.1369i | −1.40724 | + | 0.904381i | −0.999960 | − | 0.00892008i | \(-0.997161\pi\) |
−0.407284 | + | 0.913301i | \(0.633524\pi\) | |||||||
\(212\) | −5.31991 | + | 0.764887i | −0.365373 | + | 0.0525327i | ||||
\(213\) | −17.0965 | + | 26.6027i | −1.17144 | + | 1.82279i | ||||
\(214\) | −6.50806 | + | 14.2507i | −0.444882 | + | 0.974156i | ||||
\(215\) | 5.54962 | + | 4.95971i | 0.378481 | + | 0.338250i | ||||
\(216\) | −0.150321 | + | 1.04551i | −0.0102280 | + | 0.0711376i | ||||
\(217\) | −18.4917 | + | 8.44487i | −1.25530 | + | 0.573275i | ||||
\(218\) | 4.12174 | − | 14.0373i | 0.279159 | − | 0.950729i | ||||
\(219\) | 30.8068 | + | 9.04568i | 2.08173 | + | 0.611250i | ||||
\(220\) | −1.17360 | − | 2.67768i | −0.0791240 | − | 0.180529i | ||||
\(221\) | −1.92260 | + | 13.3720i | −0.129328 | + | 0.899499i | ||||
\(222\) | 10.3554 | + | 8.97303i | 0.695011 | + | 0.602230i | ||||
\(223\) | −17.7521 | − | 8.10713i | −1.18877 | − | 0.542894i | −0.279924 | − | 0.960022i | \(-0.590309\pi\) |
−0.908847 | + | 0.417129i | \(0.863036\pi\) | |||||||
\(224\) | −3.62173 | − | 2.32755i | −0.241987 | − | 0.155516i | ||||
\(225\) | 1.42782 | + | 12.6784i | 0.0951882 | + | 0.845228i | ||||
\(226\) | 7.23645 | − | 4.65058i | 0.481361 | − | 0.309352i | ||||
\(227\) | 5.08672 | − | 4.40767i | 0.337618 | − | 0.292547i | −0.469507 | − | 0.882929i | \(-0.655568\pi\) |
0.807124 | + | 0.590382i | \(0.201023\pi\) | |||||||
\(228\) | 4.85510 | + | 16.5350i | 0.321537 | + | 1.09505i | ||||
\(229\) | 19.3357 | 1.27774 | 0.638870 | − | 0.769315i | \(-0.279402\pi\) | ||||
0.638870 | + | 0.769315i | \(0.279402\pi\) | |||||||
\(230\) | −7.52156 | − | 7.64370i | −0.495957 | − | 0.504010i | ||||
\(231\) | −13.2627 | −0.872624 | ||||||||
\(232\) | 0.653748 | + | 2.22646i | 0.0429207 | + | 0.146174i | ||||
\(233\) | 6.37223 | − | 5.52157i | 0.417459 | − | 0.361730i | −0.420660 | − | 0.907219i | \(-0.638201\pi\) |
0.838118 | + | 0.545489i | \(0.183656\pi\) | |||||||
\(234\) | 7.79956 | − | 5.01247i | 0.509873 | − | 0.327676i | ||||
\(235\) | 12.0468 | − | 1.54402i | 0.785848 | − | 0.100720i | ||||
\(236\) | −5.82282 | − | 3.74210i | −0.379033 | − | 0.243590i | ||||
\(237\) | 35.3232 | + | 16.1316i | 2.29449 | + | 1.04786i | ||||
\(238\) | 12.0975 | + | 10.4825i | 0.784165 | + | 0.679483i | ||||
\(239\) | 2.70204 | − | 18.7931i | 0.174780 | − | 1.21562i | −0.693835 | − | 0.720134i | \(-0.744080\pi\) |
0.868615 | − | 0.495488i | \(-0.165011\pi\) | |||||||
\(240\) | 4.82550 | − | 2.11496i | 0.311485 | − | 0.136520i | ||||
\(241\) | 3.65232 | + | 1.07242i | 0.235267 | + | 0.0690806i | 0.397241 | − | 0.917714i | \(-0.369968\pi\) |
−0.161974 | + | 0.986795i | \(0.551786\pi\) | |||||||
\(242\) | 2.61745 | − | 8.91420i | 0.168256 | − | 0.573027i | ||||
\(243\) | −18.8588 | + | 8.61253i | −1.20979 | + | 0.552494i | ||||
\(244\) | 1.34305 | − | 9.34114i | 0.0859802 | − | 0.598005i | ||||
\(245\) | 17.1868 | − | 19.2310i | 1.09802 | − | 1.22862i | ||||
\(246\) | 2.96390 | − | 6.49003i | 0.188971 | − | 0.413789i | ||||
\(247\) | −14.3671 | + | 22.3556i | −0.914155 | + | 1.42245i | ||||
\(248\) | −4.67388 | + | 0.672003i | −0.296792 | + | 0.0426722i | ||||
\(249\) | −19.8379 | + | 12.7490i | −1.25718 | + | 0.807938i | ||||
\(250\) | −8.77714 | + | 6.92545i | −0.555115 | + | 0.438004i | ||||
\(251\) | −23.4540 | + | 6.88672i | −1.48041 | + | 0.434686i | −0.919466 | − | 0.393170i | \(-0.871378\pi\) |
−0.560940 | + | 0.827857i | \(0.689560\pi\) | |||||||
\(252\) | − | 10.9855i | − | 0.692024i | ||||||
\(253\) | 0.492803 | + | 6.25099i | 0.0309823 | + | 0.392996i | ||||
\(254\) | 6.30353 | 0.395518 | ||||||||
\(255\) | −18.8785 | + | 5.23032i | −1.18222 | + | 0.327535i | ||||
\(256\) | −0.654861 | − | 0.755750i | −0.0409288 | − | 0.0472343i | ||||
\(257\) | −12.9947 | − | 20.2202i | −0.810590 | − | 1.26130i | −0.962059 | − | 0.272840i | \(-0.912037\pi\) |
0.151470 | − | 0.988462i | \(-0.451599\pi\) | |||||||
\(258\) | 7.76299 | − | 1.11615i | 0.483302 | − | 0.0694884i | ||||
\(259\) | 21.0617 | + | 13.5355i | 1.30871 | + | 0.841057i | ||||
\(260\) | 7.33771 | + | 3.48791i | 0.455065 | + | 0.216311i | ||||
\(261\) | −3.87752 | + | 4.47490i | −0.240013 | + | 0.276989i | ||||
\(262\) | −8.02127 | − | 1.15328i | −0.495555 | − | 0.0712501i | ||||
\(263\) | 8.75091 | − | 3.99641i | 0.539604 | − | 0.246429i | −0.126919 | − | 0.991913i | \(-0.540509\pi\) |
0.666524 | + | 0.745484i | \(0.267782\pi\) | |||||||
\(264\) | −2.95587 | − | 0.867922i | −0.181921 | − | 0.0534169i | ||||
\(265\) | 3.56220 | − | 11.4779i | 0.218824 | − | 0.705084i | ||||
\(266\) | 13.0804 | + | 28.6420i | 0.802008 | + | 1.75615i | ||||
\(267\) | 21.8540 | + | 3.14213i | 1.33744 | + | 0.192295i | ||||
\(268\) | 2.52350 | + | 2.18663i | 0.154148 | + | 0.133570i | ||||
\(269\) | −2.16155 | + | 4.73314i | −0.131792 | + | 0.288585i | −0.964011 | − | 0.265863i | \(-0.914343\pi\) |
0.832219 | + | 0.554448i | \(0.187070\pi\) | |||||||
\(270\) | −1.96712 | − | 1.30722i | −0.119715 | − | 0.0795549i | ||||
\(271\) | 0.765162 | + | 5.32182i | 0.0464803 | + | 0.323277i | 0.999775 | + | 0.0212343i | \(0.00675960\pi\) |
−0.953294 | + | 0.302043i | \(0.902331\pi\) | |||||||
\(272\) | 2.01019 | + | 3.12792i | 0.121886 | + | 0.189658i | ||||
\(273\) | 27.8543 | − | 24.1359i | 1.68582 | − | 1.46077i | ||||
\(274\) | 1.51251 | − | 0.444113i | 0.0913740 | − | 0.0268298i | ||||
\(275\) | 6.53426 | + | 0.200362i | 0.394030 | + | 0.0120823i | ||||
\(276\) | −11.2650 | + | 0.888090i | −0.678075 | + | 0.0534567i | ||||
\(277\) | 8.06429i | 0.484536i | 0.970209 | + | 0.242268i | \(0.0778913\pi\) | ||||
−0.970209 | + | 0.242268i | \(0.922109\pi\) | |||||||
\(278\) | 2.20158 | + | 7.49789i | 0.132042 | + | 0.449694i | ||||
\(279\) | −7.89045 | − | 9.10606i | −0.472389 | − | 0.545166i | ||||
\(280\) | 8.17726 | − | 5.07982i | 0.488685 | − | 0.303577i | ||||
\(281\) | −0.847911 | − | 5.89735i | −0.0505822 | − | 0.351807i | −0.999357 | − | 0.0358538i | \(-0.988585\pi\) |
0.948775 | − | 0.315953i | \(-0.102324\pi\) | |||||||
\(282\) | 6.91908 | − | 10.7663i | 0.412025 | − | 0.641124i | ||||
\(283\) | −29.5406 | − | 13.4907i | −1.75600 | − | 0.801941i | −0.986596 | − | 0.163184i | \(-0.947823\pi\) |
−0.769409 | − | 0.638756i | \(-0.779449\pi\) | |||||||
\(284\) | −8.78891 | + | 10.1429i | −0.521526 | + | 0.601873i | ||||
\(285\) | −38.0534 | − | 6.06792i | −2.25409 | − | 0.359432i | ||||
\(286\) | −1.97344 | − | 4.32123i | −0.116692 | − | 0.255520i | ||||
\(287\) | 3.67277 | − | 12.5083i | 0.216797 | − | 0.738343i | ||||
\(288\) | 0.718901 | − | 2.44835i | 0.0423616 | − | 0.144270i | ||||
\(289\) | 1.31905 | + | 2.88833i | 0.0775915 | + | 0.169902i | ||||
\(290\) | −5.12397 | − | 0.817056i | −0.300890 | − | 0.0479792i | ||||
\(291\) | −7.51963 | + | 8.67811i | −0.440808 | + | 0.508720i | ||||
\(292\) | 12.3953 | + | 5.66074i | 0.725379 | + | 0.331269i | ||||
\(293\) | −6.81660 | + | 10.6068i | −0.398230 | + | 0.619658i | −0.981236 | − | 0.192810i | \(-0.938240\pi\) |
0.583006 | + | 0.812468i | \(0.301876\pi\) | |||||||
\(294\) | −3.86776 | − | 26.9009i | −0.225572 | − | 1.56889i | ||||
\(295\) | 13.1469 | − | 8.16705i | 0.765444 | − | 0.475504i | ||||
\(296\) | 3.80825 | + | 4.39496i | 0.221350 | + | 0.255452i | ||||
\(297\) | 0.389078 | + | 1.32508i | 0.0225766 | + | 0.0768888i | ||||
\(298\) | − | 14.1552i | − | 0.819991i | ||||||
\(299\) | −12.4107 | − | 12.2315i | −0.717729 | − | 0.707364i | ||||
\(300\) | −0.361076 | + | 11.7755i | −0.0208468 | + | 0.679859i | ||||
\(301\) | 13.7496 | − | 4.03724i | 0.792513 | − | 0.232703i | ||||
\(302\) | 6.54771 | − | 5.67362i | 0.376778 | − | 0.326480i | ||||
\(303\) | −2.18971 | − | 3.40726i | −0.125796 | − | 0.195742i | ||||
\(304\) | 1.04087 | + | 7.23943i | 0.0596982 | + | 0.415210i | ||||
\(305\) | 17.5754 | + | 11.6795i | 1.00636 | + | 0.668764i | ||||
\(306\) | −3.94133 | + | 8.63030i | −0.225311 | + | 0.493361i | ||||
\(307\) | −9.29366 | − | 8.05300i | −0.530417 | − | 0.459609i | 0.348006 | − | 0.937492i | \(-0.386859\pi\) |
−0.878423 | + | 0.477883i | \(0.841404\pi\) | |||||||
\(308\) | −5.57156 | − | 0.801069i | −0.317469 | − | 0.0456451i | ||||
\(309\) | −10.7792 | − | 23.6032i | −0.613208 | − | 1.34274i | ||||
\(310\) | 3.12962 | − | 10.0841i | 0.177750 | − | 0.572739i | ||||
\(311\) | −31.7774 | − | 9.33069i | −1.80193 | − | 0.529095i | −0.804075 | − | 0.594528i | \(-0.797339\pi\) |
−0.997857 | + | 0.0654336i | \(0.979157\pi\) | |||||||
\(312\) | 7.78737 | − | 3.55637i | 0.440873 | − | 0.201340i | ||||
\(313\) | 7.05257 | + | 1.01401i | 0.398635 | + | 0.0573150i | 0.338717 | − | 0.940888i | \(-0.390007\pi\) |
0.0599178 | + | 0.998203i | \(0.480916\pi\) | |||||||
\(314\) | 9.49979 | − | 10.9633i | 0.536104 | − | 0.618697i | ||||
\(315\) | 22.1856 | + | 10.5457i | 1.25001 | + | 0.594182i | ||||
\(316\) | 13.8646 | + | 8.91025i | 0.779946 | + | 0.501241i | ||||
\(317\) | 7.02902 | − | 1.01062i | 0.394789 | − | 0.0567621i | 0.0579384 | − | 0.998320i | \(-0.481547\pi\) |
0.336851 | + | 0.941558i | \(0.390638\pi\) | |||||||
\(318\) | −6.84652 | − | 10.6534i | −0.383934 | − | 0.597412i | ||||
\(319\) | 1.98679 | + | 2.29288i | 0.111239 | + | 0.128377i | ||||
\(320\) | 2.15489 | − | 0.597017i | 0.120462 | − | 0.0333743i | ||||
\(321\) | −36.9133 | −2.06030 | ||||||||
\(322\) | −20.1425 | + | 4.53543i | −1.12250 | + | 0.252749i | ||||
\(323\) | − | 27.1942i | − | 1.51313i | ||||||
\(324\) | −9.73300 | + | 2.85787i | −0.540722 | + | 0.158770i | ||||
\(325\) | −14.0878 | + | 11.4704i | −0.781452 | + | 0.636264i | ||||
\(326\) | −3.79073 | + | 2.43615i | −0.209949 | + | 0.134926i | ||||
\(327\) | 34.1204 | − | 4.90577i | 1.88686 | − | 0.271289i | ||||
\(328\) | 1.63710 | − | 2.54738i | 0.0903940 | − | 0.140656i | ||||
\(329\) | 9.71399 | − | 21.2707i | 0.535550 | − | 1.17269i | ||||
\(330\) | 4.59031 | − | 5.13628i | 0.252688 | − | 0.282743i | ||||
\(331\) | 3.51924 | − | 24.4768i | 0.193435 | − | 1.34537i | −0.629397 | − | 0.777084i | \(-0.716698\pi\) |
0.822832 | − | 0.568285i | \(-0.192393\pi\) | |||||||
\(332\) | −9.10376 | + | 4.15755i | −0.499634 | + | 0.228175i | ||||
\(333\) | −4.18067 | + | 14.2380i | −0.229099 | + | 0.780240i | ||||
\(334\) | 0.878437 | + | 0.257932i | 0.0480659 | + | 0.0141134i | ||||
\(335\) | −6.83841 | + | 2.99720i | −0.373622 | + | 0.163754i | ||||
\(336\) | 1.44362 | − | 10.0406i | 0.0787560 | − | 0.547760i | ||||
\(337\) | 8.97814 | + | 7.77960i | 0.489070 | + | 0.423782i | 0.864168 | − | 0.503203i | \(-0.167845\pi\) |
−0.375098 | + | 0.926985i | \(0.622391\pi\) | |||||||
\(338\) | 0.183282 | + | 0.0837022i | 0.00996924 | + | 0.00455280i | ||||
\(339\) | 17.0506 | + | 10.9577i | 0.926060 | + | 0.595143i | ||||
\(340\) | −8.24661 | + | 1.05695i | −0.447235 | + | 0.0573211i | ||||
\(341\) | −5.19371 | + | 3.33780i | −0.281255 | + | 0.180752i | ||||
\(342\) | −14.1045 | + | 12.2216i | −0.762684 | + | 0.660869i | ||||
\(343\) | −5.49983 | − | 18.7307i | −0.296963 | − | 1.01136i | ||||
\(344\) | 3.32858 | 0.179465 | ||||||||
\(345\) | 9.02046 | − | 23.6025i | 0.485645 | − | 1.27072i | ||||
\(346\) | −13.1705 | −0.708052 | ||||||||
\(347\) | 2.29146 | + | 7.80401i | 0.123012 | + | 0.418941i | 0.997855 | − | 0.0654662i | \(-0.0208535\pi\) |
−0.874843 | + | 0.484407i | \(0.839035\pi\) | |||||||
\(348\) | −4.13204 | + | 3.58044i | −0.221501 | + | 0.191932i | ||||
\(349\) | −1.01930 | + | 0.655061i | −0.0545616 | + | 0.0350646i | −0.567637 | − | 0.823279i | \(-0.692142\pi\) |
0.513076 | + | 0.858343i | \(0.328506\pi\) | |||||||
\(350\) | 2.40898 | + | 21.3906i | 0.128765 | + | 1.14338i | ||||
\(351\) | −3.22855 | − | 2.07486i | −0.172327 | − | 0.110748i | ||||
\(352\) | −1.18931 | − | 0.543141i | −0.0633906 | − | 0.0289495i | ||||
\(353\) | −3.14083 | − | 2.72154i | −0.167169 | − | 0.144853i | 0.567259 | − | 0.823540i | \(-0.308004\pi\) |
−0.734428 | + | 0.678687i | \(0.762549\pi\) | |||||||
\(354\) | 2.32097 | − | 16.1427i | 0.123358 | − | 0.857976i | ||||
\(355\) | −12.0469 | − | 27.4862i | −0.639383 | − | 1.45882i | ||||
\(356\) | 8.99088 | + | 2.63996i | 0.476516 | + | 0.139918i | ||||
\(357\) | −10.6260 | + | 36.1887i | −0.562386 | + | 1.91531i | ||||
\(358\) | 4.53023 | − | 2.06889i | 0.239430 | − | 0.109344i | ||||
\(359\) | −1.18262 | + | 8.22530i | −0.0624162 | + | 0.434114i | 0.934521 | + | 0.355908i | \(0.115828\pi\) |
−0.996937 | + | 0.0782064i | \(0.975081\pi\) | |||||||
\(360\) | 4.25439 | + | 3.80216i | 0.224226 | + | 0.200391i | ||||
\(361\) | 14.3288 | − | 31.3758i | 0.754150 | − | 1.65136i | ||||
\(362\) | −3.98597 | + | 6.20229i | −0.209498 | + | 0.325985i | ||||
\(363\) | 21.6676 | − | 3.11533i | 1.13725 | − | 0.163513i | ||||
\(364\) | 13.1592 | − | 8.45687i | 0.689727 | − | 0.443261i | ||||
\(365\) | −23.3310 | + | 19.5985i | −1.22120 | + | 1.02583i | ||||
\(366\) | 21.3353 | − | 6.26460i | 1.11521 | − | 0.327456i | ||||
\(367\) | 15.5128i | 0.809762i | 0.914369 | + | 0.404881i | \(0.132687\pi\) | ||||
−0.914369 | + | 0.404881i | \(0.867313\pi\) | |||||||
\(368\) | −4.78597 | − | 0.307328i | −0.249486 | − | 0.0160206i | ||||
\(369\) | 7.72680 | 0.402241 | ||||||||
\(370\) | −12.5315 | + | 3.47187i | −0.651481 | + | 0.180494i | ||||
\(371\) | −15.1526 | − | 17.4870i | −0.786682 | − | 0.907879i | ||||
\(372\) | −6.01511 | − | 9.35969i | −0.311869 | − | 0.485277i | ||||
\(373\) | −20.7350 | + | 2.98124i | −1.07362 | + | 0.154363i | −0.656376 | − | 0.754434i | \(-0.727912\pi\) |
−0.417240 | + | 0.908797i | \(0.637002\pi\) | |||||||
\(374\) | 4.08964 | + | 2.62825i | 0.211470 | + | 0.135904i | ||||
\(375\) | −23.4343 | − | 12.0332i | −1.21014 | − | 0.621393i | ||||
\(376\) | 3.55693 | − | 4.10491i | 0.183434 | − | 0.211695i | ||||
\(377\) | −8.34530 | − | 1.19987i | −0.429805 | − | 0.0617966i | ||||
\(378\) | −4.13642 | + | 1.88904i | −0.212755 | + | 0.0971618i | ||||
\(379\) | 21.4824 | + | 6.30779i | 1.10347 | + | 0.324009i | 0.782232 | − | 0.622987i | \(-0.214081\pi\) |
0.321243 | + | 0.946997i | \(0.395899\pi\) | |||||||
\(380\) | −15.6194 | − | 4.84750i | −0.801259 | − | 0.248672i | ||||
\(381\) | 6.16992 | + | 13.5102i | 0.316094 | + | 0.692150i | ||||
\(382\) | 21.5161 | + | 3.09355i | 1.10086 | + | 0.158280i | ||||
\(383\) | 19.1353 | + | 16.5808i | 0.977767 | + | 0.847240i | 0.988272 | − | 0.152705i | \(-0.0487984\pi\) |
−0.0105049 | + | 0.999945i | \(0.503344\pi\) | |||||||
\(384\) | 0.978804 | − | 2.14328i | 0.0499494 | − | 0.109374i | ||||
\(385\) | 6.96625 | − | 10.4829i | 0.355033 | − | 0.534258i | ||||
\(386\) | 0.635438 | + | 4.41957i | 0.0323429 | + | 0.224950i | ||||
\(387\) | 4.59197 | + | 7.14525i | 0.233423 | + | 0.363213i | ||||
\(388\) | −3.68309 | + | 3.19141i | −0.186980 | + | 0.162019i | ||||
\(389\) | −21.7831 | + | 6.39609i | −1.10445 | + | 0.324295i | −0.782617 | − | 0.622503i | \(-0.786116\pi\) |
−0.321829 | + | 0.946798i | \(0.604298\pi\) | |||||||
\(390\) | −0.293391 | + | 19.1408i | −0.0148564 | + | 0.969230i | ||||
\(391\) | 17.4513 | + | 3.66356i | 0.882549 | + | 0.185274i | ||||
\(392\) | − | 11.5344i | − | 0.582577i | ||||||
\(393\) | −5.37943 | − | 18.3207i | −0.271357 | − | 0.924156i | ||||
\(394\) | −5.93620 | − | 6.85075i | −0.299062 | − | 0.345136i | ||||
\(395\) | −31.3040 | + | 19.4464i | −1.57507 | + | 0.978457i | ||||
\(396\) | −0.474802 | − | 3.30232i | −0.0238597 | − | 0.165948i | ||||
\(397\) | 0.988968 | − | 1.53886i | 0.0496349 | − | 0.0772334i | −0.815549 | − | 0.578688i | \(-0.803565\pi\) |
0.865184 | + | 0.501454i | \(0.167201\pi\) | |||||||
\(398\) | −6.61718 | − | 3.02197i | −0.331689 | − | 0.151477i | ||||
\(399\) | −48.5847 | + | 56.0698i | −2.43228 | + | 2.80700i | ||||
\(400\) | −0.862925 | + | 4.92497i | −0.0431462 | + | 0.246249i | ||||
\(401\) | 5.19147 | + | 11.3677i | 0.259250 | + | 0.567678i | 0.993839 | − | 0.110834i | \(-0.0353523\pi\) |
−0.734589 | + | 0.678512i | \(0.762625\pi\) | |||||||
\(402\) | −2.21655 | + | 7.54886i | −0.110551 | + | 0.376503i | ||||
\(403\) | 4.83359 | − | 16.4617i | 0.240778 | − | 0.820015i | ||||
\(404\) | −0.714080 | − | 1.56362i | −0.0355268 | − | 0.0777928i | ||||
\(405\) | 3.57177 | − | 22.3995i | 0.177483 | − | 1.11304i | ||||
\(406\) | −6.54202 | + | 7.54990i | −0.324675 | + | 0.374695i | ||||
\(407\) | 6.91628 | + | 3.15856i | 0.342827 | + | 0.156564i | ||||
\(408\) | −4.73643 | + | 7.37002i | −0.234488 | + | 0.364870i | ||||
\(409\) | 4.19584 | + | 29.1827i | 0.207471 | + | 1.44299i | 0.781371 | + | 0.624067i | \(0.214521\pi\) |
−0.573900 | + | 0.818925i | \(0.694570\pi\) | |||||||
\(410\) | 3.57295 | + | 5.75156i | 0.176455 | + | 0.284049i | ||||
\(411\) | 2.43231 | + | 2.80703i | 0.119977 | + | 0.138461i | ||||
\(412\) | −3.10262 | − | 10.5665i | −0.152855 | − | 0.520576i | ||||
\(413\) | − | 29.7986i | − | 1.46629i | ||||||
\(414\) | −5.94282 | − | 10.6977i | −0.292074 | − | 0.525765i | ||||
\(415\) | 0.342986 | − | 22.3763i | 0.0168365 | − | 1.09841i | ||||
\(416\) | 3.48621 | − | 1.02364i | 0.170925 | − | 0.0501882i | ||||
\(417\) | −13.9152 | + | 12.0576i | −0.681429 | + | 0.590462i | ||||
\(418\) | 5.16996 | + | 8.04461i | 0.252871 | + | 0.393475i | ||||
\(419\) | −2.35238 | − | 16.3612i | −0.114921 | − | 0.799295i | −0.963015 | − | 0.269448i | \(-0.913159\pi\) |
0.848094 | − | 0.529846i | \(-0.177750\pi\) | |||||||
\(420\) | 18.8914 | + | 12.5540i | 0.921807 | + | 0.612573i | ||||
\(421\) | 9.69548 | − | 21.2301i | 0.472529 | − | 1.03469i | −0.511922 | − | 0.859032i | \(-0.671066\pi\) |
0.984451 | − | 0.175662i | \(-0.0562065\pi\) | |||||||
\(422\) | −18.3638 | − | 15.9123i | −0.893934 | − | 0.774599i | ||||
\(423\) | 13.7188 | + | 1.97246i | 0.667028 | + | 0.0959042i | ||||
\(424\) | −2.23270 | − | 4.88892i | −0.108429 | − | 0.237427i | ||||
\(425\) | 5.78188 | − | 17.6688i | 0.280463 | − | 0.857065i | ||||
\(426\) | −30.3418 | − | 8.90916i | −1.47006 | − | 0.431650i | ||||
\(427\) | 36.9571 | − | 16.8778i | 1.78848 | − | 0.816772i | ||||
\(428\) | −15.5070 | − | 2.22956i | −0.749557 | − | 0.107770i | ||||
\(429\) | 7.33000 | − | 8.45927i | 0.353896 | − | 0.408418i | ||||
\(430\) | −3.19530 | + | 6.72214i | −0.154091 | + | 0.324170i | ||||
\(431\) | 27.0328 | + | 17.3729i | 1.30212 | + | 0.836824i | 0.993441 | − | 0.114342i | \(-0.0364759\pi\) |
0.308681 | + | 0.951165i | \(0.400112\pi\) | |||||||
\(432\) | −1.04551 | + | 0.150321i | −0.0503019 | + | 0.00723232i | ||||
\(433\) | 13.5295 | + | 21.0523i | 0.650186 | + | 1.01171i | 0.997268 | + | 0.0738744i | \(0.0235364\pi\) |
−0.347081 | + | 0.937835i | \(0.612827\pi\) | |||||||
\(434\) | −13.3125 | − | 15.3634i | −0.639020 | − | 0.737469i | ||||
\(435\) | −3.26418 | − | 11.7818i | −0.156505 | − | 0.564896i | ||||
\(436\) | 14.6300 | 0.700648 | ||||||||
\(437\) | 28.2320 | + | 20.8156i | 1.35052 | + | 0.995743i | ||||
\(438\) | 32.1073i | 1.53415i | ||||||||
\(439\) | −7.91152 | + | 2.32303i | −0.377596 | + | 0.110872i | −0.465023 | − | 0.885299i | \(-0.653954\pi\) |
0.0874266 | + | 0.996171i | \(0.472136\pi\) | |||||||
\(440\) | 2.23858 | − | 1.88045i | 0.106720 | − | 0.0896470i | ||||
\(441\) | 24.7602 | − | 15.9124i | 1.17906 | − | 0.757735i | ||||
\(442\) | −13.3720 | + | 1.92260i | −0.636042 | + | 0.0914490i | ||||
\(443\) | −17.1216 | + | 26.6417i | −0.813471 | + | 1.26579i | 0.147480 | + | 0.989065i | \(0.452884\pi\) |
−0.960950 | + | 0.276720i | \(0.910752\pi\) | |||||||
\(444\) | −5.69210 | + | 12.4640i | −0.270135 | + | 0.591513i | ||||
\(445\) | −13.9624 | + | 15.6230i | −0.661879 | + | 0.740603i | ||||
\(446\) | 2.77738 | − | 19.3171i | 0.131513 | − | 0.914691i | ||||
\(447\) | 30.3386 | − | 13.8552i | 1.43497 | − | 0.655328i | ||||
\(448\) | 1.21290 | − | 4.13077i | 0.0573044 | − | 0.195161i | ||||
\(449\) | −3.89560 | − | 1.14385i | −0.183845 | − | 0.0539817i | 0.188514 | − | 0.982070i | \(-0.439633\pi\) |
−0.372359 | + | 0.928089i | \(0.621451\pi\) | |||||||
\(450\) | −11.7626 | + | 4.94191i | −0.554494 | + | 0.232964i | ||||
\(451\) | 0.563440 | − | 3.91881i | 0.0265314 | − | 0.184530i | ||||
\(452\) | 6.50094 | + | 5.63310i | 0.305779 | + | 0.264959i | ||||
\(453\) | 18.5691 | + | 8.48022i | 0.872452 | + | 0.398436i | ||||
\(454\) | 5.66223 | + | 3.63889i | 0.265741 | + | 0.170782i | ||||
\(455\) | 4.44659 | + | 34.6935i | 0.208459 | + | 1.62646i | ||||
\(456\) | −14.4973 | + | 9.31687i | −0.678900 | + | 0.436303i | ||||
\(457\) | 15.0947 | − | 13.0796i | 0.706098 | − | 0.611837i | −0.225964 | − | 0.974136i | \(-0.572553\pi\) |
0.932062 | + | 0.362298i | \(0.118008\pi\) | |||||||
\(458\) | 5.44750 | + | 18.5525i | 0.254545 | + | 0.866900i | ||||
\(459\) | 3.92733 | 0.183312 | ||||||||
\(460\) | 5.21500 | − | 9.37036i | 0.243151 | − | 0.436896i | ||||
\(461\) | 15.9547 | 0.743085 | 0.371543 | − | 0.928416i | \(-0.378829\pi\) | ||||
0.371543 | + | 0.928416i | \(0.378829\pi\) | |||||||
\(462\) | −3.73655 | − | 12.7255i | −0.173840 | − | 0.592044i | ||||
\(463\) | −12.2000 | + | 10.5713i | −0.566981 | + | 0.491292i | −0.890533 | − | 0.454918i | \(-0.849668\pi\) |
0.323552 | + | 0.946210i | \(0.395123\pi\) | |||||||
\(464\) | −1.95209 | + | 1.25453i | −0.0906236 | + | 0.0582403i | ||||
\(465\) | 24.6764 | − | 3.16272i | 1.14434 | − | 0.146667i | ||||
\(466\) | 7.09317 | + | 4.55850i | 0.328585 | + | 0.211169i | ||||
\(467\) | 8.33114 | + | 3.80470i | 0.385519 | + | 0.176061i | 0.598740 | − | 0.800943i | \(-0.295668\pi\) |
−0.213221 | + | 0.977004i | \(0.568395\pi\) | |||||||
\(468\) | 7.00682 | + | 6.07145i | 0.323891 | + | 0.280653i | ||||
\(469\) | −2.04581 | + | 14.2289i | −0.0944669 | + | 0.657031i | ||||
\(470\) | 4.87546 | + | 11.1238i | 0.224888 | + | 0.513105i | ||||
\(471\) | 32.7960 | + | 9.62976i | 1.51116 | + | 0.443716i | ||||
\(472\) | 1.95004 | − | 6.64123i | 0.0897579 | − | 0.305687i | ||||
\(473\) | 3.95872 | − | 1.80788i | 0.182022 | − | 0.0831266i | ||||
\(474\) | −5.52643 | + | 38.4372i | −0.253838 | + | 1.76548i | ||||
\(475\) | 24.7837 | − | 26.8903i | 1.13715 | − | 1.23381i | ||||
\(476\) | −6.64967 | + | 14.5607i | −0.304787 | + | 0.667391i | ||||
\(477\) | 7.41461 | − | 11.5374i | 0.339491 | − | 0.528259i | ||||
\(478\) | 18.7931 | − | 2.70204i | 0.859575 | − | 0.123588i | ||||
\(479\) | 4.67957 | − | 3.00738i | 0.213815 | − | 0.137411i | −0.429350 | − | 0.903138i | \(-0.641257\pi\) |
0.643165 | + | 0.765728i | \(0.277621\pi\) | |||||||
\(480\) | 3.38879 | + | 4.03418i | 0.154677 | + | 0.184134i | ||||
\(481\) | −20.2736 | + | 5.95285i | −0.924395 | + | 0.271427i | ||||
\(482\) | 3.80651i | 0.173382i | ||||||||
\(483\) | −29.4363 | − | 38.7318i | −1.33940 | − | 1.76236i | ||||
\(484\) | 9.29053 | 0.422297 | ||||||||
\(485\) | −2.90951 | − | 10.5017i | −0.132114 | − | 0.476858i | ||||
\(486\) | −13.5768 | − | 15.6685i | −0.615857 | − | 0.710736i | ||||
\(487\) | −11.0677 | − | 17.2216i | −0.501524 | − | 0.780387i | 0.494527 | − | 0.869162i | \(-0.335341\pi\) |
−0.996052 | + | 0.0887749i | \(0.971705\pi\) | |||||||
\(488\) | 9.34114 | − | 1.34305i | 0.422854 | − | 0.0607972i | ||||
\(489\) | −8.93174 | − | 5.74008i | −0.403907 | − | 0.259575i | ||||
\(490\) | 23.2940 | + | 11.0726i | 1.05232 | + | 0.500209i | ||||
\(491\) | 0.351783 | − | 0.405979i | 0.0158757 | − | 0.0183216i | −0.747756 | − | 0.663973i | \(-0.768869\pi\) |
0.763632 | + | 0.645652i | \(0.223414\pi\) | |||||||
\(492\) | 7.06217 | + | 1.01539i | 0.318387 | + | 0.0457772i | ||||
\(493\) | 7.84815 | − | 3.58413i | 0.353463 | − | 0.161421i | ||||
\(494\) | −25.4977 | − | 7.48680i | −1.14720 | − | 0.336847i | ||||
\(495\) | 7.12490 | + | 2.21122i | 0.320240 | + | 0.0993871i | ||||
\(496\) | −1.96157 | − | 4.29523i | −0.0880770 | − | 0.192862i | ||||
\(497\) | −57.1916 | − | 8.22291i | −2.56539 | − | 0.368848i | ||||
\(498\) | −17.8216 | − | 15.4425i | −0.798605 | − | 0.691995i | ||||
\(499\) | 17.2264 | − | 37.7205i | 0.771159 | − | 1.68860i | 0.0470757 | − | 0.998891i | \(-0.485010\pi\) |
0.724084 | − | 0.689712i | \(-0.242263\pi\) | |||||||
\(500\) | −9.11773 | − | 6.47048i | −0.407757 | − | 0.289369i | ||||
\(501\) | 0.306996 | + | 2.13520i | 0.0137156 | + | 0.0953938i | ||||
\(502\) | −13.2155 | − | 20.5638i | −0.589838 | − | 0.917806i | ||||
\(503\) | −0.480592 | + | 0.416436i | −0.0214286 | + | 0.0185680i | −0.665509 | − | 0.746390i | \(-0.731786\pi\) |
0.644081 | + | 0.764958i | \(0.277240\pi\) | |||||||
\(504\) | 10.5405 | − | 3.09498i | 0.469513 | − | 0.137862i | ||||
\(505\) | 3.84325 | + | 0.0589096i | 0.171022 | + | 0.00262144i | ||||
\(506\) | −5.85894 | + | 2.23395i | −0.260462 | + | 0.0993111i | ||||
\(507\) | 0.474753i | 0.0210845i | ||||||||
\(508\) | 1.77591 | + | 6.04819i | 0.0787932 | + | 0.268345i | ||||
\(509\) | 16.2298 | + | 18.7302i | 0.719374 | + | 0.830202i | 0.991232 | − | 0.132135i | \(-0.0421833\pi\) |
−0.271857 | + | 0.962338i | \(0.587638\pi\) | |||||||
\(510\) | −10.3371 | − | 16.6403i | −0.457737 | − | 0.736843i | ||||
\(511\) | 8.34892 | + | 58.0680i | 0.369335 | + | 2.56878i | ||||
\(512\) | 0.540641 | − | 0.841254i | 0.0238932 | − | 0.0371785i | ||||
\(513\) | 7.02721 | + | 3.20922i | 0.310259 | + | 0.141691i | ||||
\(514\) | 15.7401 | − | 18.1651i | 0.694266 | − | 0.801226i | ||||
\(515\) | 24.3178 | + | 3.87766i | 1.07157 | + | 0.170870i | ||||
\(516\) | 3.25802 | + | 7.13408i | 0.143426 | + | 0.314060i | ||||
\(517\) | 2.00075 | − | 6.81393i | 0.0879929 | − | 0.299676i | ||||
\(518\) | −7.05348 | + | 24.0219i | −0.309912 | + | 1.05546i | ||||
\(519\) | −12.8914 | − | 28.2282i | −0.565868 | − | 1.23908i | ||||
\(520\) | −1.27935 | + | 8.02314i | −0.0561033 | + | 0.351838i | ||||
\(521\) | 1.29908 | − | 1.49922i | 0.0569139 | − | 0.0656822i | −0.726579 | − | 0.687083i | \(-0.758891\pi\) |
0.783493 | + | 0.621401i | \(0.213436\pi\) | |||||||
\(522\) | −5.38606 | − | 2.45973i | −0.235741 | − | 0.107659i | ||||
\(523\) | −9.00256 | + | 14.0083i | −0.393655 | + | 0.612539i | −0.980349 | − | 0.197270i | \(-0.936793\pi\) |
0.586695 | + | 0.809808i | \(0.300429\pi\) | |||||||
\(524\) | −1.15328 | − | 8.02127i | −0.0503814 | − | 0.350411i | ||||
\(525\) | −43.4882 | + | 26.1003i | −1.89798 | + | 1.13911i | ||||
\(526\) | 6.29994 | + | 7.27052i | 0.274691 | + | 0.317010i | ||||
\(527\) | 4.94637 | + | 16.8458i | 0.215467 | + | 0.733814i | ||||
\(528\) | − | 3.08066i | − | 0.134068i | ||||||
\(529\) | −17.1613 | + | 15.3131i | −0.746144 | + | 0.665785i | ||||
\(530\) | 12.0166 | + | 0.184191i | 0.521967 | + | 0.00800076i | ||||
\(531\) | 16.9465 | − | 4.97594i | 0.735416 | − | 0.215938i | ||||
\(532\) | −23.7966 | + | 20.6199i | −1.03171 | + | 0.893986i | ||||
\(533\) | 5.94823 | + | 9.25563i | 0.257647 | + | 0.400906i | ||||
\(534\) | 3.14213 | + | 21.8540i | 0.135973 | + | 0.945715i | ||||
\(535\) | 19.3887 | − | 29.1764i | 0.838247 | − | 1.26140i | ||||
\(536\) | −1.38710 | + | 3.03733i | −0.0599137 | + | 0.131193i | ||||
\(537\) | 8.86841 | + | 7.68452i | 0.382700 | + | 0.331612i | ||||
\(538\) | −5.15039 | − | 0.740515i | −0.222049 | − | 0.0319259i | ||||
\(539\) | −6.26482 | − | 13.7180i | −0.269845 | − | 0.590878i | ||||
\(540\) | 0.700067 | − | 2.25573i | 0.0301261 | − | 0.0970710i | ||||
\(541\) | −2.00667 | − | 0.589211i | −0.0862734 | − | 0.0253322i | 0.238311 | − | 0.971189i | \(-0.423406\pi\) |
−0.324584 | + | 0.945857i | \(0.605224\pi\) | |||||||
\(542\) | −4.89068 | + | 2.23350i | −0.210073 | + | 0.0959369i | ||||
\(543\) | −17.1948 | − | 2.47223i | −0.737897 | − | 0.106094i | ||||
\(544\) | −2.43488 | + | 2.81000i | −0.104395 | + | 0.120478i | ||||
\(545\) | −14.0442 | + | 29.5455i | −0.601587 | + | 1.26559i | ||||
\(546\) | 31.0057 | + | 19.9262i | 1.32692 | + | 0.852761i | ||||
\(547\) | −14.2854 | + | 2.05393i | −0.610800 | + | 0.0878198i | −0.440772 | − | 0.897619i | \(-0.645295\pi\) |
−0.170029 | + | 0.985439i | \(0.554386\pi\) | |||||||
\(548\) | 0.852246 | + | 1.32612i | 0.0364062 | + | 0.0566491i | ||||
\(549\) | 15.7697 | + | 18.1992i | 0.673035 | + | 0.776724i | ||||
\(550\) | 1.64867 | + | 6.32602i | 0.0702994 | + | 0.269742i | ||||
\(551\) | 16.9715 | 0.723012 | ||||||||
\(552\) | −4.02584 | − | 10.5585i | −0.171351 | − | 0.449400i | ||||
\(553\) | 70.9530i | 3.01723i | ||||||||
\(554\) | −7.73763 | + | 2.27197i | −0.328740 | + | 0.0965269i | ||||
\(555\) | −19.7071 | − | 23.4602i | −0.836518 | − | 0.995832i | ||||
\(556\) | −6.57392 | + | 4.22480i | −0.278796 | + | 0.179171i | ||||
\(557\) | −37.5963 | + | 5.40552i | −1.59300 | + | 0.229039i | −0.880993 | − | 0.473129i | \(-0.843125\pi\) |
−0.712011 | + | 0.702168i | \(0.752215\pi\) | |||||||
\(558\) | 6.51421 | − | 10.1363i | 0.275768 | − | 0.429104i | ||||
\(559\) | −5.02403 | + | 11.0011i | −0.212494 | + | 0.465296i | ||||
\(560\) | 7.17785 | + | 6.41487i | 0.303320 | + | 0.271078i | ||||
\(561\) | −1.63013 | + | 11.3378i | −0.0688241 | + | 0.478682i | ||||
\(562\) | 5.41959 | − | 2.47504i | 0.228611 | − | 0.104403i | ||||
\(563\) | 4.20900 | − | 14.3345i | 0.177388 | − | 0.604129i | −0.822011 | − | 0.569472i | \(-0.807148\pi\) |
0.999399 | − | 0.0346574i | \(-0.0110340\pi\) | |||||||
\(564\) | 12.2795 | + | 3.60559i | 0.517061 | + | 0.151823i | ||||
\(565\) | −17.6168 | + | 7.72125i | −0.741146 | + | 0.324836i | ||||
\(566\) | 4.62172 | − | 32.1448i | 0.194265 | − | 1.35114i | ||||
\(567\) | −33.0044 | − | 28.5985i | −1.38606 | − | 1.20102i | ||||
\(568\) | −12.2082 | − | 5.57530i | −0.512245 | − | 0.233934i | ||||
\(569\) | 0.151187 | + | 0.0971618i | 0.00633808 | + | 0.00407324i | 0.543806 | − | 0.839211i | \(-0.316983\pi\) |
−0.537468 | + | 0.843284i | \(0.680619\pi\) | |||||||
\(570\) | −4.89877 | − | 38.2215i | −0.205187 | − | 1.60092i | ||||
\(571\) | 20.3199 | − | 13.0588i | 0.850360 | − | 0.546493i | −0.0413268 | − | 0.999146i | \(-0.513158\pi\) |
0.891687 | + | 0.452652i | \(0.149522\pi\) | |||||||
\(572\) | 3.59021 | − | 3.11093i | 0.150114 | − | 0.130075i | ||||
\(573\) | 14.4297 | + | 49.1431i | 0.602810 | + | 2.05298i | ||||
\(574\) | 13.0364 | 0.544128 | ||||||||
\(575\) | 13.9175 | + | 19.5270i | 0.580399 | + | 0.814332i | ||||
\(576\) | 2.55171 | 0.106321 | ||||||||
\(577\) | 1.77803 | + | 6.05543i | 0.0740205 | + | 0.252091i | 0.988188 | − | 0.153246i | \(-0.0489726\pi\) |
−0.914168 | + | 0.405336i | \(0.867154\pi\) | |||||||
\(578\) | −2.39971 | + | 2.07936i | −0.0998147 | + | 0.0864900i | ||||
\(579\) | −8.85041 | + | 5.68781i | −0.367810 | + | 0.236377i | ||||
\(580\) | −0.659628 | − | 5.14660i | −0.0273896 | − | 0.213701i | ||||
\(581\) | −36.2470 | − | 23.2945i | −1.50378 | − | 0.966419i | ||||
\(582\) | −10.4451 | − | 4.77012i | −0.432964 | − | 0.197728i | ||||
\(583\) | −5.31074 | − | 4.60179i | −0.219949 | − | 0.190587i | ||||
\(584\) | −1.93928 | + | 13.4880i | −0.0802480 | + | 0.558137i | ||||
\(585\) | −18.9877 | + | 8.32210i | −0.785045 | + | 0.344076i | ||||
\(586\) | −12.0976 | − | 3.55219i | −0.499749 | − | 0.146740i | ||||
\(587\) | −4.05904 | + | 13.8238i | −0.167534 | + | 0.570570i | 0.832333 | + | 0.554276i | \(0.187005\pi\) |
−0.999867 | + | 0.0162937i | \(0.994813\pi\) | |||||||
\(588\) | 24.7215 | − | 11.2899i | 1.01950 | − | 0.465589i | ||||
\(589\) | −4.91495 | + | 34.1842i | −0.202517 | + | 1.40854i | ||||
\(590\) | 11.5402 | + | 10.3135i | 0.475100 | + | 0.424599i | ||||
\(591\) | 8.87270 | − | 19.4285i | 0.364974 | − | 0.799181i | ||||
\(592\) | −3.14402 | + | 4.89219i | −0.129218 | + | 0.201068i | ||||
\(593\) | 7.88791 | − | 1.13411i | 0.323918 | − | 0.0465723i | 0.0215620 | − | 0.999768i | \(-0.493136\pi\) |
0.302356 | + | 0.953195i | \(0.402227\pi\) | |||||||
\(594\) | −1.16179 | + | 0.746635i | −0.0476687 | + | 0.0306348i | ||||
\(595\) | −23.0223 | − | 27.4069i | −0.943824 | − | 1.12357i | ||||
\(596\) | 13.5818 | − | 3.98799i | 0.556334 | − | 0.163354i | ||||
\(597\) | − | 17.1404i | − | 0.701510i | ||||||
\(598\) | 8.23951 | − | 15.3540i | 0.336938 | − | 0.627871i | ||||
\(599\) | −15.3525 | −0.627284 | −0.313642 | − | 0.949541i | \(-0.601549\pi\) | ||||
−0.313642 | + | 0.949541i | \(0.601549\pi\) | |||||||
\(600\) | −11.4002 | + | 2.97109i | −0.465413 | + | 0.121294i | ||||
\(601\) | −5.83980 | − | 6.73949i | −0.238210 | − | 0.274909i | 0.624039 | − | 0.781393i | \(-0.285491\pi\) |
−0.862250 | + | 0.506484i | \(0.830945\pi\) | |||||||
\(602\) | 7.74742 | + | 12.0552i | 0.315761 | + | 0.491334i | ||||
\(603\) | −8.43364 | + | 1.21257i | −0.343444 | + | 0.0493798i | ||||
\(604\) | 7.28851 | + | 4.68404i | 0.296565 | + | 0.190591i | ||||
\(605\) | −8.91855 | + | 18.7625i | −0.362591 | + | 0.762802i | ||||
\(606\) | 2.65233 | − | 3.06095i | 0.107743 | − | 0.124342i | ||||
\(607\) | −14.0371 | − | 2.01823i | −0.569747 | − | 0.0819173i | −0.148580 | − | 0.988900i | \(-0.547470\pi\) |
−0.421167 | + | 0.906983i | \(0.638379\pi\) | |||||||
\(608\) | −6.65294 | + | 3.03830i | −0.269812 | + | 0.123219i | ||||
\(609\) | −22.5849 | − | 6.63153i | −0.915187 | − | 0.268723i | ||||
\(610\) | −6.25480 | + | 20.1539i | −0.253249 | + | 0.816009i | ||||
\(611\) | 8.19822 | + | 17.9516i | 0.331664 | + | 0.726244i | ||||
\(612\) | −9.39111 | − | 1.35024i | −0.379613 | − | 0.0545801i | ||||
\(613\) | −26.0901 | − | 22.6072i | −1.05377 | − | 0.913097i | −0.0574110 | − | 0.998351i | \(-0.518285\pi\) |
−0.996359 | + | 0.0852535i | \(0.972830\pi\) | |||||||
\(614\) | 5.10847 | − | 11.1860i | 0.206161 | − | 0.451430i | ||||
\(615\) | −8.83000 | + | 13.2875i | −0.356060 | + | 0.535803i | ||||
\(616\) | −0.801069 | − | 5.57156i | −0.0322760 | − | 0.224484i | ||||
\(617\) | 6.79302 | + | 10.5702i | 0.273477 | + | 0.425538i | 0.950641 | − | 0.310294i | \(-0.100428\pi\) |
−0.677164 | + | 0.735832i | \(0.736791\pi\) | |||||||
\(618\) | 19.6102 | − | 16.9924i | 0.788839 | − | 0.683533i | ||||
\(619\) | −3.16054 | + | 0.928018i | −0.127033 | + | 0.0373002i | −0.344631 | − | 0.938738i | \(-0.611996\pi\) |
0.217598 | + | 0.976038i | \(0.430178\pi\) | |||||||
\(620\) | 10.5574 | + | 0.161824i | 0.423993 | + | 0.00649900i | ||||
\(621\) | −3.00614 | + | 4.07722i | −0.120632 | + | 0.163613i | ||||
\(622\) | − | 33.1190i | − | 1.32795i | ||||||
\(623\) | 11.3655 | + | 38.7072i | 0.455348 | + | 1.55077i | ||||
\(624\) | 5.60627 | + | 6.46998i | 0.224430 | + | 0.259006i | ||||
\(625\) | 21.8199 | − | 12.2021i | 0.872798 | − | 0.488082i | ||||
\(626\) | 1.01401 | + | 7.05257i | 0.0405279 | + | 0.281877i | ||||
\(627\) | −12.1815 | + | 18.9548i | −0.486482 | + | 0.756980i | ||||
\(628\) | 13.1956 | + | 6.02625i | 0.526564 | + | 0.240474i | ||||
\(629\) | 14.1597 | − | 16.3412i | 0.564584 | − | 0.651565i | ||||
\(630\) | −3.86812 | + | 24.2580i | −0.154110 | + | 0.966460i | ||||
\(631\) | 9.64305 | + | 21.1153i | 0.383884 | + | 0.840588i | 0.998653 | + | 0.0518813i | \(0.0165218\pi\) |
−0.614770 | + | 0.788707i | \(0.710751\pi\) | |||||||
\(632\) | −4.64321 | + | 15.8133i | −0.184697 | + | 0.629020i | ||||
\(633\) | 16.1300 | − | 54.9338i | 0.641110 | − | 2.18342i | ||||
\(634\) | 2.94999 | + | 6.45957i | 0.117159 | + | 0.256542i | ||||
\(635\) | −13.9193 | − | 2.21953i | −0.552369 | − | 0.0880795i | ||||
\(636\) | 8.29296 | − | 9.57059i | 0.328837 | − | 0.379499i | ||||
\(637\) | 38.1218 | + | 17.4096i | 1.51044 | + | 0.689795i | ||||
\(638\) | −1.64026 | + | 2.55229i | −0.0649385 | + | 0.101046i | ||||
\(639\) | −4.87380 | − | 33.8980i | −0.192805 | − | 1.34099i | ||||
\(640\) | 1.17994 | + | 1.89941i | 0.0466411 | + | 0.0750807i | ||||
\(641\) | −22.3432 | − | 25.7854i | −0.882502 | − | 1.01846i | −0.999679 | − | 0.0253502i | \(-0.991930\pi\) |
0.117177 | − | 0.993111i | \(-0.462616\pi\) | |||||||
\(642\) | −10.3997 | − | 35.4181i | −0.410443 | − | 1.39784i | ||||
\(643\) | − | 7.69594i | − | 0.303498i | −0.988419 | − | 0.151749i | \(-0.951509\pi\) | ||
0.988419 | − | 0.151749i | \(-0.0484906\pi\) | |||||||
\(644\) | −10.0265 | − | 18.0488i | −0.395100 | − | 0.711224i | ||||
\(645\) | −17.5350 | − | 0.268778i | −0.690440 | − | 0.0105831i | ||||
\(646\) | 26.0926 | − | 7.66149i | 1.02660 | − | 0.301437i | ||||
\(647\) | 30.0732 | − | 26.0586i | 1.18230 | − | 1.02447i | 0.183158 | − | 0.983083i | \(-0.441368\pi\) |
0.999143 | − | 0.0413863i | \(-0.0131774\pi\) | |||||||
\(648\) | −5.48421 | − | 8.53359i | −0.215440 | − | 0.335231i | ||||
\(649\) | −1.28791 | − | 8.95764i | −0.0505550 | − | 0.351618i | ||||
\(650\) | −14.9748 | − | 10.2856i | −0.587359 | − | 0.403433i | ||||
\(651\) | 19.8979 | − | 43.5702i | 0.779858 | − | 1.70765i | ||||
\(652\) | −3.40544 | − | 2.95083i | −0.133367 | − | 0.115564i | ||||
\(653\) | 36.5403 | + | 5.25370i | 1.42993 | + | 0.205593i | 0.813385 | − | 0.581726i | \(-0.197622\pi\) |
0.616546 | + | 0.787319i | \(0.288531\pi\) | |||||||
\(654\) | 14.3199 | + | 31.3561i | 0.559951 | + | 1.22612i | ||||
\(655\) | 17.3062 | + | 5.37102i | 0.676211 | + | 0.209863i | ||||
\(656\) | 2.90542 | + | 0.853109i | 0.113438 | + | 0.0333083i | ||||
\(657\) | −31.6292 | + | 14.4446i | −1.23397 | + | 0.563536i | ||||
\(658\) | 23.1458 | + | 3.32786i | 0.902317 | + | 0.129734i | ||||
\(659\) | 6.85473 | − | 7.91078i | 0.267022 | − | 0.308160i | −0.606365 | − | 0.795186i | \(-0.707373\pi\) |
0.873387 | + | 0.487026i | \(0.161918\pi\) | |||||||
\(660\) | 6.22146 | + | 2.95731i | 0.242170 | + | 0.115113i | ||||
\(661\) | −28.4342 | − | 18.2736i | −1.10596 | − | 0.710759i | −0.145553 | − | 0.989350i | \(-0.546496\pi\) |
−0.960410 | + | 0.278591i | \(0.910133\pi\) | |||||||
\(662\) | 24.4768 | − | 3.51924i | 0.951320 | − | 0.136779i | ||||
\(663\) | −17.2093 | − | 26.7781i | −0.668352 | − | 1.03998i | ||||
\(664\) | −6.55397 | − | 7.56368i | −0.254343 | − | 0.293528i | ||||
\(665\) | −18.7985 | − | 67.8521i | −0.728976 | − | 2.63119i | ||||
\(666\) | −14.8391 | −0.575005 | ||||||||
\(667\) | −2.28638 | + | 10.8911i | −0.0885290 | + | 0.421706i | ||||
\(668\) | 0.915522i | 0.0354226i | ||||||||
\(669\) | 44.1205 | − | 12.9549i | 1.70580 | − | 0.500867i | ||||
\(670\) | −4.80239 | − | 5.71700i | −0.185533 | − | 0.220867i | ||||
\(671\) | 10.3801 | − | 6.67086i | 0.400718 | − | 0.257526i | ||||
\(672\) | 10.0406 | − | 1.44362i | 0.387325 | − | 0.0556889i | ||||
\(673\) | 4.46751 | − | 6.95158i | 0.172210 | − | 0.267964i | −0.744411 | − | 0.667722i | \(-0.767270\pi\) |
0.916621 | + | 0.399758i | \(0.130906\pi\) | |||||||
\(674\) | −4.93504 | + | 10.8062i | −0.190091 | + | 0.416240i | ||||
\(675\) | 3.88345 | + | 3.57921i | 0.149474 | + | 0.137764i | ||||
\(676\) | −0.0286751 | + | 0.199440i | −0.00110289 | + | 0.00767075i | ||||
\(677\) | 31.2828 | − | 14.2864i | 1.20229 | − | 0.549069i | 0.289377 | − | 0.957215i | \(-0.406552\pi\) |
0.912917 | + | 0.408146i | \(0.133825\pi\) | |||||||
\(678\) | −5.71017 | + | 19.4471i | −0.219298 | + | 0.746860i | ||||
\(679\) | −20.1310 | − | 5.91099i | −0.772557 | − | 0.226843i | ||||
\(680\) | −3.33747 | − | 7.61478i | −0.127986 | − | 0.292014i | ||||
\(681\) | −2.25696 | + | 15.6975i | −0.0864869 | + | 0.601530i | ||||
\(682\) | −4.66583 | − | 4.04297i | −0.178664 | − | 0.154813i | ||||
\(683\) | −39.6005 | − | 18.0849i | −1.51527 | − | 0.692001i | −0.527737 | − | 0.849408i | \(-0.676959\pi\) |
−0.987534 | + | 0.157407i | \(0.949687\pi\) | |||||||
\(684\) | −15.7002 | − | 10.0899i | −0.600314 | − | 0.385798i | ||||
\(685\) | −3.49626 | + | 0.448107i | −0.133585 | + | 0.0171213i | ||||
\(686\) | 16.4225 | − | 10.5541i | 0.627013 | − | 0.402957i | ||||
\(687\) | −34.4311 | + | 29.8348i | −1.31363 | + | 1.13827i | ||||
\(688\) | 0.937768 | + | 3.19374i | 0.0357521 | + | 0.121760i | ||||
\(689\) | 19.5280 | 0.743959 | ||||||||
\(690\) | 25.1878 | + | 2.00547i | 0.958883 | + | 0.0763470i | ||||
\(691\) | 1.04412 | 0.0397203 | 0.0198602 | − | 0.999803i | \(-0.493678\pi\) | ||||
0.0198602 | + | 0.999803i | \(0.493678\pi\) | |||||||
\(692\) | −3.71057 | − | 12.6370i | −0.141055 | − | 0.480388i | ||||
\(693\) | 10.8550 | − | 9.40590i | 0.412347 | − | 0.357301i | ||||
\(694\) | −6.84231 | + | 4.39729i | −0.259731 | + | 0.166919i | ||||
\(695\) | −2.22138 | − | 17.3318i | −0.0842618 | − | 0.657434i | ||||
\(696\) | −4.59953 | − | 2.95594i | −0.174345 | − | 0.112045i | ||||
\(697\) | −10.2415 | − | 4.67712i | −0.387923 | − | 0.177158i | ||||
\(698\) | −0.915696 | − | 0.793455i | −0.0346596 | − | 0.0300327i | ||||
\(699\) | −2.82734 | + | 19.6645i | −0.106940 | + | 0.743781i | ||||
\(700\) | −19.8454 | + | 8.33782i | −0.750087 | + | 0.315140i | ||||
\(701\) | 37.4233 | + | 10.9885i | 1.41346 | + | 0.415029i | 0.897284 | − | 0.441454i | \(-0.145537\pi\) |
0.516175 | + | 0.856483i | \(0.327355\pi\) | |||||||
\(702\) | 1.08123 | − | 3.68233i | 0.0408084 | − | 0.138981i | ||||
\(703\) | 38.6892 | − | 17.6688i | 1.45919 | − | 0.666391i | ||||
\(704\) | 0.186072 | − | 1.29416i | 0.00701284 | − | 0.0487754i | ||||
\(705\) | −19.0694 | + | 21.3375i | −0.718196 | + | 0.803618i | ||||
\(706\) | 1.72643 | − | 3.78035i | 0.0649749 | − | 0.142275i | ||||
\(707\) | 4.00095 | − | 6.22560i | 0.150471 | − | 0.234138i | ||||
\(708\) | 16.1427 | − | 2.32097i | 0.606681 | − | 0.0872275i | ||||
\(709\) | 11.9207 | − | 7.66098i | 0.447692 | − | 0.287714i | −0.297304 | − | 0.954783i | \(-0.596088\pi\) |
0.744996 | + | 0.667069i | \(0.232451\pi\) | |||||||
\(710\) | 22.9788 | − | 19.3027i | 0.862381 | − | 0.724417i | ||||
\(711\) | −40.3511 | + | 11.8481i | −1.51328 | + | 0.444340i | ||||
\(712\) | 9.37045i | 0.351173i | ||||||||
\(713\) | −21.2748 | − | 7.75931i | −0.796749 | − | 0.290588i | ||||
\(714\) | −37.7165 | −1.41150 | ||||||||
\(715\) | 2.83614 | + | 10.2369i | 0.106066 | + | 0.382838i | ||||
\(716\) | 3.26140 | + | 3.76385i | 0.121884 | + | 0.140662i | ||||
\(717\) | 24.1859 | + | 37.6341i | 0.903241 | + | 1.40547i | ||||
\(718\) | −8.22530 | + | 1.18262i | −0.306965 | + | 0.0441349i | ||||
\(719\) | −2.77391 | − | 1.78269i | −0.103449 | − | 0.0664829i | 0.487893 | − | 0.872903i | \(-0.337766\pi\) |
−0.591343 | + | 0.806420i | \(0.701402\pi\) | |||||||
\(720\) | −2.44954 | + | 5.15324i | −0.0912891 | + | 0.192050i | ||||
\(721\) | 31.0477 | − | 35.8310i | 1.15628 | − | 1.33442i | ||||
\(722\) | 34.1417 | + | 4.90884i | 1.27062 | + | 0.182688i | ||||
\(723\) | −8.15843 | + | 3.72583i | −0.303415 | + | 0.138565i | ||||
\(724\) | −7.07404 | − | 2.07712i | −0.262905 | − | 0.0771957i | ||||
\(725\) | 11.0269 | + | 3.60840i | 0.409529 | + | 0.134013i | ||||
\(726\) | 9.09361 | + | 19.9122i | 0.337496 | + | 0.739012i | ||||
\(727\) | 18.0406 | + | 2.59385i | 0.669090 | + | 0.0962007i | 0.468485 | − | 0.883471i | \(-0.344800\pi\) |
0.200605 | + | 0.979672i | \(0.435709\pi\) | |||||||
\(728\) | 11.8217 | + | 10.2435i | 0.438140 | + | 0.379651i | ||||
\(729\) | 7.65113 | − | 16.7536i | 0.283375 | − | 0.620505i | ||||
\(730\) | −25.3777 | − | 16.8644i | −0.939271 | − | 0.624178i | ||||
\(731\) | −1.76131 | − | 12.2502i | −0.0651446 | − | 0.453090i | ||||
\(732\) | 12.0217 | + | 18.7061i | 0.444334 | + | 0.691398i | ||||
\(733\) | −31.1915 | + | 27.0276i | −1.15209 | + | 0.998288i | −0.152135 | + | 0.988360i | \(0.548615\pi\) |
−0.999951 | + | 0.00992778i | \(0.996840\pi\) | |||||||
\(734\) | −14.8844 | + | 4.37046i | −0.549394 | + | 0.161317i | ||||
\(735\) | −0.931389 | + | 60.7636i | −0.0343548 | + | 2.24130i | ||||
\(736\) | −1.05349 | − | 4.67869i | −0.0388320 | − | 0.172459i | ||||
\(737\) | 4.36572i | 0.160814i | ||||||||
\(738\) | 2.17689 | + | 7.41381i | 0.0801324 | + | 0.272906i | ||||
\(739\) | 23.0074 | + | 26.5519i | 0.846340 | + | 0.976729i | 0.999935 | − | 0.0114050i | \(-0.00363042\pi\) |
−0.153595 | + | 0.988134i | \(0.549085\pi\) | |||||||
\(740\) | −6.86176 | − | 11.0457i | −0.252243 | − | 0.406049i | ||||
\(741\) | −8.91093 | − | 61.9769i | −0.327351 | − | 2.27678i | ||||
\(742\) | 12.5097 | − | 19.4654i | 0.459244 | − | 0.714598i | ||||
\(743\) | −25.3254 | − | 11.5657i | −0.929099 | − | 0.424305i | −0.107393 | − | 0.994217i | \(-0.534250\pi\) |
−0.821706 | + | 0.569911i | \(0.806978\pi\) | |||||||
\(744\) | 7.28590 | − | 8.40838i | 0.267114 | − | 0.308266i | ||||
\(745\) | −4.98420 | + | 31.2572i | −0.182607 | + | 1.14517i | ||||
\(746\) | −8.70219 | − | 19.0551i | −0.318610 | − | 0.697658i | ||||
\(747\) | 7.19489 | − | 24.5035i | 0.263247 | − | 0.896538i | ||||
\(748\) | −1.36961 | + | 4.66445i | −0.0500777 | + | 0.170549i | ||||
\(749\) | −28.0183 | − | 61.3515i | −1.02377 | − | 2.24173i | ||||
\(750\) | 4.94359 | − | 25.8752i | 0.180514 | − | 0.944828i | ||||
\(751\) | −21.3265 | + | 24.6121i | −0.778217 | + | 0.898110i | −0.996979 | − | 0.0776683i | \(-0.975252\pi\) |
0.218763 | + | 0.975778i | \(0.429798\pi\) | |||||||
\(752\) | 4.94074 | + | 2.25636i | 0.180170 | + | 0.0822809i | ||||
\(753\) | 31.1385 | − | 48.4525i | 1.13475 | − | 1.76571i | ||||
\(754\) | −1.19987 | − | 8.34530i | −0.0436968 | − | 0.303918i | ||||
\(755\) | −16.4562 | + | 10.2228i | −0.598903 | + | 0.372046i | ||||
\(756\) | −2.97789 | − | 3.43666i | −0.108305 | − | 0.124990i | ||||
\(757\) | −1.36271 | − | 4.64095i | −0.0495284 | − | 0.168678i | 0.931015 | − | 0.364981i | \(-0.118925\pi\) |
−0.980543 | + | 0.196303i | \(0.937106\pi\) | |||||||
\(758\) | 22.3893i | 0.813215i | ||||||||
\(759\) | −10.5227 | − | 10.3708i | −0.381951 | − | 0.376435i | ||||
\(760\) | 0.250651 | − | 16.3524i | 0.00909207 | − | 0.593164i | ||||
\(761\) | 17.0170 | − | 4.99666i | 0.616867 | − | 0.181129i | 0.0416541 | − | 0.999132i | \(-0.486737\pi\) |
0.575213 | + | 0.818003i | \(0.304919\pi\) | |||||||
\(762\) | −11.2247 | + | 9.72626i | −0.406628 | + | 0.352345i | ||||
\(763\) | 34.0519 | + | 52.9858i | 1.23276 | + | 1.91822i | ||||
\(764\) | 3.09355 | + | 21.5161i | 0.111921 | + | 0.778426i | ||||
\(765\) | 11.7419 | − | 17.6694i | 0.424531 | − | 0.638838i | ||||
\(766\) | −10.5181 | + | 23.0315i | −0.380036 | + | 0.832163i | ||||
\(767\) | 19.0062 | + | 16.4690i | 0.686275 | + | 0.594661i | ||||
\(768\) | 2.33222 | + | 0.335323i | 0.0841569 | + | 0.0120999i | ||||
\(769\) | −1.07223 | − | 2.34787i | −0.0386658 | − | 0.0846662i | 0.889314 | − | 0.457298i | \(-0.151183\pi\) |
−0.927979 | + | 0.372632i | \(0.878455\pi\) | |||||||
\(770\) | 12.0209 | + | 3.73070i | 0.433203 | + | 0.134445i | ||||
\(771\) | 54.3393 | + | 15.9555i | 1.95698 | + | 0.574622i | ||||
\(772\) | −4.06152 | + | 1.85483i | −0.146177 | + | 0.0667569i | ||||
\(773\) | 0.383553 | + | 0.0551466i | 0.0137954 | + | 0.00198349i | 0.149209 | − | 0.988806i | \(-0.452327\pi\) |
−0.135414 | + | 0.990789i | \(0.543236\pi\) | |||||||
\(774\) | −5.56211 | + | 6.41901i | −0.199926 | + | 0.230727i | ||||
\(775\) | −10.4614 | + | 21.1655i | −0.375786 | + | 0.760286i | ||||
\(776\) | −4.09978 | − | 2.63477i | −0.147174 | − | 0.0945827i | ||||
\(777\) | −58.3898 | + | 8.39518i | −2.09472 | + | 0.301175i | ||||
\(778\) | −12.2740 | − | 19.0987i | −0.440045 | − | 0.684723i | ||||
\(779\) | −14.5032 | − | 16.7376i | −0.519632 | − | 0.599687i | ||||
\(780\) | −18.4481 | + | 5.11107i | −0.660547 | + | 0.183006i | ||||
\(781\) | −17.5475 | −0.627900 | ||||||||
\(782\) | 1.40143 | + | 17.7765i | 0.0501151 | + | 0.635687i | ||||
\(783\) | 2.45100i | 0.0875915i | ||||||||
\(784\) | 11.0672 | − | 3.24962i | 0.395257 | − | 0.116058i | ||||
\(785\) | −24.8375 | + | 20.8640i | −0.886487 | + | 0.744666i | ||||
\(786\) | 16.0630 | − | 10.3231i | 0.572948 | − | 0.368211i | ||||
\(787\) | 17.4770 | − | 2.51282i | 0.622990 | − | 0.0895724i | 0.176411 | − | 0.984317i | \(-0.443551\pi\) |
0.446579 | + | 0.894744i | \(0.352642\pi\) | |||||||
\(788\) | 4.90082 | − | 7.62582i | 0.174584 | − | 0.271659i | ||||
\(789\) | −9.41637 | + | 20.6190i | −0.335232 | + | 0.734055i | ||||
\(790\) | −27.4781 | − | 24.5572i | −0.977626 | − | 0.873707i | ||||
\(791\) | −5.27034 | + | 36.6560i | −0.187392 | + | 1.30334i | ||||
\(792\) | 3.03478 | − | 1.38594i | 0.107836 | − | 0.0492472i | ||||
\(793\) | −9.66032 | + | 32.9000i | −0.343048 | + | 1.16831i | ||||
\(794\) | 1.75515 | + | 0.515360i | 0.0622881 | + | 0.0182894i | ||||
\(795\) | 11.3671 | + | 25.9352i | 0.403150 | + | 0.919828i | ||||
\(796\) | 1.03528 | − | 7.20053i | 0.0366945 | − | 0.255216i | ||||
\(797\) | −10.5883 | − | 9.17482i | −0.375057 | − | 0.324989i | 0.446852 | − | 0.894608i | \(-0.352545\pi\) |
−0.821909 | + | 0.569619i | \(0.807091\pi\) | |||||||
\(798\) | −67.4865 | − | 30.8200i | −2.38899 | − | 1.09102i | ||||
\(799\) | −16.9895 | − | 10.9185i | −0.601046 | − | 0.386269i | ||||
\(800\) | −4.96859 | + | 0.559555i | −0.175666 | + | 0.0197833i | ||||
\(801\) | −20.1150 | + | 12.9271i | −0.710727 | + | 0.456757i | ||||
\(802\) | −9.44466 | + | 8.18384i | −0.333503 | + | 0.288982i | ||||
\(803\) | 5.01947 | + | 17.0947i | 0.177133 | + | 0.603260i | ||||
\(804\) | −7.86755 | −0.277467 | ||||||||
\(805\) | 46.0751 | − | 2.92261i | 1.62393 | − | 0.103008i | ||||
\(806\) | 17.1566 | 0.604317 | ||||||||
\(807\) | −3.45409 | − | 11.7636i | −0.121590 | − | 0.414097i | ||||
\(808\) | 1.29910 | − | 1.12568i | 0.0457022 | − | 0.0396011i | ||||
\(809\) | −41.8410 | + | 26.8896i | −1.47105 | + | 0.945387i | −0.473127 | + | 0.880994i | \(0.656875\pi\) |
−0.997925 | + | 0.0643932i | \(0.979489\pi\) | |||||||
\(810\) | 22.4984 | − | 2.88357i | 0.790514 | − | 0.101318i | ||||
\(811\) | 36.5719 | + | 23.5033i | 1.28421 | + | 0.825314i | 0.991401 | − | 0.130856i | \(-0.0417726\pi\) |
0.292812 | + | 0.956170i | \(0.405409\pi\) | |||||||
\(812\) | −9.08717 | − | 4.14997i | −0.318897 | − | 0.145636i | ||||
\(813\) | −9.57403 | − | 8.29594i | −0.335776 | − | 0.290951i | ||||
\(814\) | −1.08207 | + | 7.52599i | −0.0379267 | + | 0.263786i | ||||
\(815\) | 9.22837 | − | 4.04469i | 0.323256 | − | 0.141679i | ||||
\(816\) | −8.40589 | − | 2.46819i | −0.294265 | − | 0.0864040i | ||||
\(817\) | 6.85872 | − | 23.3587i | 0.239956 | − | 0.817216i | ||||
\(818\) | −26.8185 | + | 12.2476i | −0.937687 | + | 0.428227i | ||||
\(819\) | −5.68045 | + | 39.5084i | −0.198491 | + | 1.38054i | ||||
\(820\) | −4.51197 | + | 5.04862i | −0.157565 | + | 0.176305i | ||||
\(821\) | −2.50208 | + | 5.47880i | −0.0873233 | + | 0.191211i | −0.948255 | − | 0.317508i | \(-0.897154\pi\) |
0.860932 | + | 0.508720i | \(0.169881\pi\) | |||||||
\(822\) | −2.00807 | + | 3.12462i | −0.0700394 | + | 0.108984i | ||||
\(823\) | −52.1911 | + | 7.50394i | −1.81927 | + | 0.261571i | −0.965746 | − | 0.259488i | \(-0.916446\pi\) |
−0.853520 | + | 0.521059i | \(0.825537\pi\) | |||||||
\(824\) | 9.26442 | − | 5.95388i | 0.322741 | − | 0.207413i | ||||
\(825\) | −11.9447 | + | 9.72549i | −0.415862 | + | 0.338598i | ||||
\(826\) | 28.5916 | − | 8.39524i | 0.994828 | − | 0.292108i | ||||
\(827\) | 39.8788i | 1.38672i | 0.720590 | + | 0.693361i | \(0.243871\pi\) | ||||
−0.720590 | + | 0.693361i | \(0.756129\pi\) | |||||||
\(828\) | 8.59011 | − | 8.71599i | 0.298527 | − | 0.302902i | ||||
\(829\) | 21.5781 | 0.749438 | 0.374719 | − | 0.927138i | \(-0.377739\pi\) | ||||
0.374719 | + | 0.927138i | \(0.377739\pi\) | |||||||
\(830\) | 21.5666 | − | 5.97505i | 0.748587 | − | 0.207397i | ||||
\(831\) | −12.4431 | − | 14.3601i | −0.431646 | − | 0.498146i | ||||
\(832\) | 1.96436 | + | 3.05660i | 0.0681018 | + | 0.105968i | ||||
\(833\) | −42.4503 | + | 6.10344i | −1.47082 | + | 0.211472i | ||||
\(834\) | −15.4895 | − | 9.95451i | −0.536358 | − | 0.344696i | ||||
\(835\) | −1.84892 | − | 0.878865i | −0.0639844 | − | 0.0304144i | ||||
\(836\) | −6.26220 | + | 7.22696i | −0.216583 | + | 0.249950i | ||||
\(837\) | −4.93682 | − | 0.709808i | −0.170641 | − | 0.0245345i | ||||
\(838\) | 15.0357 | − | 6.86656i | 0.519399 | − | 0.237201i | ||||
\(839\) | 20.0280 | + | 5.88076i | 0.691444 | + | 0.203026i | 0.608531 | − | 0.793530i | \(-0.291759\pi\) |
0.0829137 | + | 0.996557i | \(0.473577\pi\) | |||||||
\(840\) | −6.72316 | + | 21.6631i | −0.231971 | + | 0.747447i | ||||
\(841\) | −9.81022 | − | 21.4814i | −0.338284 | − | 0.740738i | ||||
\(842\) | 23.1017 | + | 3.32152i | 0.796138 | + | 0.114467i | ||||
\(843\) | 10.6094 | + | 9.19312i | 0.365408 | + | 0.316628i | ||||
\(844\) | 10.0941 | − | 22.1029i | 0.347452 | − | 0.760814i | ||||
\(845\) | −0.375246 | − | 0.249364i | −0.0129089 | − | 0.00857839i | ||||
\(846\) | 1.97246 | + | 13.7188i | 0.0678145 | + | 0.471660i | ||||
\(847\) | 21.6242 | + | 33.6478i | 0.743015 | + | 1.15615i | ||||
\(848\) | 4.06186 | − | 3.51962i | 0.139485 | − | 0.120864i | ||||
\(849\) | 73.4190 | − | 21.5578i | 2.51973 | − | 0.739861i | ||||
\(850\) | 18.5821 | + | 0.569789i | 0.637360 | + | 0.0195436i | ||||
\(851\) | 6.12640 | + | 27.2083i | 0.210010 | + | 0.932688i | ||||
\(852\) | − | 31.6227i | − | 1.08338i | ||||||
\(853\) | −9.19707 | − | 31.3223i | −0.314902 | − | 1.07246i | −0.953118 | − | 0.302599i | \(-0.902146\pi\) |
0.638216 | − | 0.769857i | \(-0.279673\pi\) | |||||||
\(854\) | 26.6061 | + | 30.7051i | 0.910443 | + | 1.05071i | ||||
\(855\) | 35.4485 | − | 22.0211i | 1.21231 | − | 0.753105i | ||||
\(856\) | −2.22956 | − | 15.5070i | −0.0762049 | − | 0.530017i | ||||
\(857\) | 11.8010 | − | 18.3627i | 0.403115 | − | 0.627258i | −0.579048 | − | 0.815294i | \(-0.696576\pi\) |
0.982162 | + | 0.188035i | \(0.0602119\pi\) | |||||||
\(858\) | 10.1817 | + | 4.64983i | 0.347598 | + | 0.158743i | ||||
\(859\) | −5.09027 | + | 5.87449i | −0.173678 | + | 0.200435i | −0.835914 | − | 0.548860i | \(-0.815062\pi\) |
0.662236 | + | 0.749295i | \(0.269607\pi\) | |||||||
\(860\) | −7.35006 | − | 1.17202i | −0.250635 | − | 0.0399657i | ||||
\(861\) | 12.7601 | + | 27.9406i | 0.434862 | + | 0.952215i | ||||
\(862\) | −9.05317 | + | 30.8323i | −0.308352 | + | 1.05015i | ||||
\(863\) | −0.771653 | + | 2.62801i | −0.0262674 | + | 0.0894584i | −0.971584 | − | 0.236697i | \(-0.923935\pi\) |
0.945316 | + | 0.326155i | \(0.105753\pi\) | |||||||
\(864\) | −0.438785 | − | 0.960805i | −0.0149278 | − | 0.0326872i | ||||
\(865\) | 29.0828 | + | 4.63748i | 0.988845 | + | 0.157679i | ||||
\(866\) | −16.3878 | + | 18.9126i | −0.556882 | + | 0.642676i | ||||
\(867\) | −6.80550 | − | 3.10797i | −0.231127 | − | 0.105552i | ||||
\(868\) | 10.9905 | − | 17.1016i | 0.373044 | − | 0.580467i | ||||
\(869\) | 3.06663 | + | 21.3289i | 0.104028 | + | 0.723533i | ||||
\(870\) | 10.3850 | − | 6.45128i | 0.352083 | − | 0.218719i | ||||
\(871\) | −7.94487 | − | 9.16886i | −0.269202 | − | 0.310675i | ||||
\(872\) | 4.12174 | + | 14.0373i | 0.139580 | + | 0.475364i | ||||
\(873\) | − | 12.4356i | − | 0.420880i | ||||||
\(874\) | −12.0185 | + | 32.9529i | −0.406531 | + | 1.11465i | ||||
\(875\) | 2.21241 | − | 48.0823i | 0.0747933 | − | 1.62548i | ||||
\(876\) | −30.8068 | + | 9.04568i | −1.04086 | + | 0.305625i | ||||
\(877\) | 42.6282 | − | 36.9376i | 1.43945 | − | 1.24729i | 0.519959 | − | 0.854191i | \(-0.325947\pi\) |
0.919495 | − | 0.393102i | \(-0.128598\pi\) | |||||||
\(878\) | −4.45786 | − | 6.93657i | −0.150446 | − | 0.234098i | ||||
\(879\) | −4.22788 | − | 29.4055i | −0.142603 | − | 0.991824i | ||||
\(880\) | 2.43496 | + | 1.61812i | 0.0820825 | + | 0.0545467i | ||||
\(881\) | −22.8644 | + | 50.0661i | −0.770322 | + | 1.68677i | −0.0443804 | + | 0.999015i | \(0.514131\pi\) |
−0.725942 | + | 0.687756i | \(0.758596\pi\) | |||||||
\(882\) | 22.2436 | + | 19.2742i | 0.748982 | + | 0.648997i | ||||
\(883\) | 13.3402 | + | 1.91803i | 0.448934 | + | 0.0645469i | 0.363074 | − | 0.931760i | \(-0.381727\pi\) |
0.0858597 | + | 0.996307i | \(0.472636\pi\) | |||||||
\(884\) | −5.61206 | − | 12.2887i | −0.188754 | − | 0.413313i | ||||
\(885\) | −10.8091 | + | 34.8287i | −0.363345 | + | 1.17075i | ||||
\(886\) | −30.3862 | − | 8.92220i | −1.02085 | − | 0.299747i | ||||
\(887\) | −24.5032 | + | 11.1902i | −0.822736 | + | 0.375731i | −0.781876 | − | 0.623434i | \(-0.785737\pi\) |
−0.0408599 | + | 0.999165i | \(0.513010\pi\) | |||||||
\(888\) | −13.5627 | − | 1.95003i | −0.455135 | − | 0.0654386i | ||||
\(889\) | −17.7714 | + | 20.5093i | −0.596034 | + | 0.687860i | ||||
\(890\) | −18.9238 | − | 8.99527i | −0.634329 | − | 0.301522i | ||||
\(891\) | −11.1574 | − | 7.17041i | −0.373786 | − | 0.240218i | ||||
\(892\) | 19.3171 | − | 2.77738i | 0.646784 | − | 0.0929935i | ||||
\(893\) | −21.4774 | − | 33.4195i | −0.718715 | − | 1.11834i | ||||
\(894\) | 21.8413 | + | 25.2063i | 0.730484 | + | 0.843023i | ||||
\(895\) | −10.7320 | + | 2.97332i | −0.358731 | + | 0.0993870i | ||||
\(896\) | 4.30516 | 0.143825 | ||||||||
\(897\) | 40.9728 | + | 2.63104i | 1.36804 | + | 0.0878479i | ||||
\(898\) | − | 4.06006i | − | 0.135486i | ||||||
\(899\) | −10.5132 | + | 3.08696i | −0.350636 | + | 0.102956i | ||||
\(900\) | −8.05563 | − | 9.89383i | −0.268521 | − | 0.329794i | ||||
\(901\) | −16.8114 | + | 10.8040i | −0.560067 | + | 0.359933i | ||||
\(902\) | 3.91881 | − | 0.563440i | 0.130482 | − | 0.0187605i | ||||
\(903\) | −18.2545 | + | 28.4046i | −0.607472 | + | 0.945245i | ||||
\(904\) | −3.57339 | + | 7.82464i | −0.118849 | + | 0.260244i | ||||
\(905\) | 10.9856 | − | 12.2922i | 0.365174 | − | 0.408607i | ||||
\(906\) | −2.90519 | + | 20.2061i | −0.0965186 | + | 0.671302i | ||||
\(907\) | −15.7413 | + | 7.18882i | −0.522682 | + | 0.238701i | −0.659242 | − | 0.751931i | \(-0.729123\pi\) |
0.136560 | + | 0.990632i | \(0.456395\pi\) | |||||||
\(908\) | −1.89626 | + | 6.45806i | −0.0629295 | + | 0.214318i | ||||
\(909\) | 4.20860 | + | 1.23576i | 0.139591 | + | 0.0409875i | ||||
\(910\) | −32.0354 | + | 14.0408i | −1.06196 | + | 0.465446i | ||||
\(911\) | 1.58726 | − | 11.0396i | 0.0525881 | − | 0.365759i | −0.946486 | − | 0.322744i | \(-0.895395\pi\) |
0.999074 | − | 0.0430146i | \(-0.0136962\pi\) | |||||||
\(912\) | −13.0238 | − | 11.2852i | −0.431263 | − | 0.373691i | ||||
\(913\) | −11.9029 | − | 5.43585i | −0.393927 | − | 0.179900i | ||||
\(914\) | 16.8024 | + | 10.7983i | 0.555775 | + | 0.357175i | ||||
\(915\) | −49.3178 | + | 6.32095i | −1.63040 | + | 0.208964i | ||||
\(916\) | −16.2662 | + | 10.4537i | −0.537451 | + | 0.345399i | ||||
\(917\) | 26.3666 | − | 22.8468i | 0.870701 | − | 0.754466i | ||||
\(918\) | 1.10646 | + | 3.76825i | 0.0365185 | + | 0.124371i | ||||
\(919\) | −19.4703 | −0.642266 | −0.321133 | − | 0.947034i | \(-0.604064\pi\) | ||||
−0.321133 | + | 0.947034i | \(0.604064\pi\) | |||||||
\(920\) | 10.4600 | + | 2.36382i | 0.344857 | + | 0.0779329i | ||||
\(921\) | 28.9749 | 0.954756 | ||||||||
\(922\) | 4.49496 | + | 15.3084i | 0.148034 | + | 0.504156i | ||||
\(923\) | 36.8532 | − | 31.9335i | 1.21304 | − | 1.05110i | ||||
\(924\) | 11.1573 | − | 7.17038i | 0.367049 | − | 0.235888i | ||||
\(925\) | 28.8942 | − | 3.25401i | 0.950034 | − | 0.106991i | ||||
\(926\) | −13.5803 | − | 8.72750i | −0.446275 | − | 0.286804i | ||||
\(927\) | 25.5616 | + | 11.6736i | 0.839555 | + | 0.383412i | ||||
\(928\) | −1.75368 | − | 1.51958i | −0.0575675 | − | 0.0498825i | ||||
\(929\) | 4.61075 | − | 32.0685i | 0.151274 | − | 1.05213i | −0.762815 | − | 0.646617i | \(-0.776183\pi\) |
0.914088 | − | 0.405515i | \(-0.132908\pi\) | |||||||
\(930\) | 9.98674 | + | 22.7858i | 0.327478 | + | 0.747175i | ||||
\(931\) | −80.9442 | − | 23.7674i | −2.65284 | − | 0.778944i | ||||
\(932\) | −2.37548 | + | 8.09013i | −0.0778113 | + | 0.265001i | ||||
\(933\) | 70.9833 | − | 32.4170i | 2.32389 | − | 1.06128i | ||||
\(934\) | −1.30343 | + | 9.06557i | −0.0426496 | + | 0.296635i | ||||
\(935\) | −8.10520 | − | 7.24364i | −0.265068 | − | 0.236892i | ||||
\(936\) | −3.85146 | + | 8.43352i | −0.125889 | + | 0.275658i | ||||
\(937\) | 24.6658 | − | 38.3807i | 0.805796 | − | 1.25384i | −0.158062 | − | 0.987429i | \(-0.550525\pi\) |
0.963859 | − | 0.266415i | \(-0.0858390\pi\) | |||||||
\(938\) | −14.2289 | + | 2.04581i | −0.464591 | + | 0.0667982i | ||||
\(939\) | −14.1231 | + | 9.07638i | −0.460891 | + | 0.296197i | ||||
\(940\) | −9.29968 | + | 7.81192i | −0.303322 | + | 0.254797i | ||||
\(941\) | 27.2518 | − | 8.00184i | 0.888382 | − | 0.260853i | 0.194467 | − | 0.980909i | \(-0.437702\pi\) |
0.693915 | + | 0.720056i | \(0.255884\pi\) | |||||||
\(942\) | 34.1805i | 1.11366i | ||||||||
\(943\) | 12.6948 | − | 7.05226i | 0.413401 | − | 0.229653i | ||||
\(944\) | 6.92160 | 0.225279 | ||||||||
\(945\) | 9.79908 | − | 2.71485i | 0.318764 | − | 0.0883140i | ||||
\(946\) | 2.84995 | + | 3.28902i | 0.0926599 | + | 0.106935i | ||||
\(947\) | −22.7088 | − | 35.3356i | −0.737938 | − | 1.14825i | −0.983856 | − | 0.178964i | \(-0.942726\pi\) |
0.245918 | − | 0.969291i | \(-0.420911\pi\) | |||||||
\(948\) | −38.4372 | + | 5.52643i | −1.24838 | + | 0.179490i | ||||
\(949\) | −41.6513 | − | 26.7677i | −1.35206 | − | 0.868916i | ||||
\(950\) | 32.7835 | + | 16.2039i | 1.06364 | + | 0.525723i | ||||
\(951\) | −10.9572 | + | 12.6453i | −0.355312 | + | 0.410052i | ||||
\(952\) | −15.8444 | − | 2.27808i | −0.513519 | − | 0.0738328i | ||||
\(953\) | −1.47544 | + | 0.673811i | −0.0477942 | + | 0.0218269i | −0.439169 | − | 0.898405i | \(-0.644727\pi\) |
0.391375 | + | 0.920231i | \(0.372000\pi\) | |||||||
\(954\) | 13.1589 | + | 3.86381i | 0.426037 | + | 0.125096i | ||||
\(955\) | −46.4220 | − | 14.4071i | −1.50218 | − | 0.466204i | ||||
\(956\) | 7.88720 | + | 17.2706i | 0.255090 | + | 0.558570i | ||||
\(957\) | −7.07578 | − | 1.01734i | −0.228727 | − | 0.0328860i | ||||
\(958\) | 4.20395 | + | 3.64274i | 0.135823 | + | 0.117692i | ||||
\(959\) | −2.81921 | + | 6.17322i | −0.0910372 | + | 0.199344i | ||||
\(960\) | −2.91604 | + | 4.38809i | −0.0941147 | + | 0.141625i | ||||
\(961\) | 1.23860 | + | 8.61465i | 0.0399548 | + | 0.277892i | ||||
\(962\) | −11.4234 | − | 17.7752i | −0.368307 | − | 0.573096i | ||||
\(963\) | 30.2120 | − | 26.1788i | 0.973568 | − | 0.843601i | ||||
\(964\) | −3.65232 | + | 1.07242i | −0.117633 | + | 0.0345403i | ||||
\(965\) | 0.153019 | − | 9.98290i | 0.00492585 | − | 0.321361i | ||||
\(966\) | 28.8698 | − | 39.1559i | 0.928869 | − | 1.25982i | ||||
\(967\) | 15.0065i | 0.482577i | 0.970453 | + | 0.241289i | \(0.0775700\pi\) | ||||
−0.970453 | + | 0.241289i | \(0.922430\pi\) | |||||||
\(968\) | 2.61745 | + | 8.91420i | 0.0841279 | + | 0.286513i | ||||
\(969\) | 41.9603 | + | 48.4248i | 1.34796 | + | 1.55563i | ||||
\(970\) | 9.25661 | − | 5.75033i | 0.297212 | − | 0.184632i | ||||
\(971\) | 3.64021 | + | 25.3182i | 0.116820 | + | 0.812501i | 0.961021 | + | 0.276474i | \(0.0891661\pi\) |
−0.844201 | + | 0.536026i | \(0.819925\pi\) | |||||||
\(972\) | 11.2088 | − | 17.4412i | 0.359521 | − | 0.559426i | ||||
\(973\) | −30.6022 | − | 13.9756i | −0.981062 | − | 0.448036i | ||||
\(974\) | 13.4059 | − | 15.4713i | 0.429553 | − | 0.495731i | ||||
\(975\) | 7.38751 | − | 42.1627i | 0.236590 | − | 1.35029i | ||||
\(976\) | 3.92035 | + | 8.58438i | 0.125487 | + | 0.274779i | ||||
\(977\) | 2.10745 | − | 7.17733i | 0.0674234 | − | 0.229623i | −0.918887 | − | 0.394520i | \(-0.870911\pi\) |
0.986311 | + | 0.164897i | \(0.0527291\pi\) | |||||||
\(978\) | 2.99120 | − | 10.1871i | 0.0956482 | − | 0.325748i | ||||
\(979\) | 5.08947 | + | 11.1444i | 0.162660 | + | 0.356176i | ||||
\(980\) | −4.06139 | + | 25.4700i | −0.129736 | + | 0.813609i | ||||
\(981\) | −24.4469 | + | 28.2132i | −0.780530 | + | 0.900779i | ||||
\(982\) | 0.488643 | + | 0.223156i | 0.0155932 | + | 0.00712119i | ||||
\(983\) | 1.10045 | − | 1.71233i | 0.0350988 | − | 0.0546148i | −0.823261 | − | 0.567663i | \(-0.807848\pi\) |
0.858360 | + | 0.513048i | \(0.171484\pi\) | |||||||
\(984\) | 1.01539 | + | 7.06217i | 0.0323693 | + | 0.225134i | ||||
\(985\) | 10.6959 | + | 17.2178i | 0.340801 | + | 0.548605i | ||||
\(986\) | 5.65003 | + | 6.52048i | 0.179934 | + | 0.207654i | ||||
\(987\) | 15.5227 | + | 52.8653i | 0.494092 | + | 1.68272i | ||||
\(988\) | − | 26.5741i | − | 0.845436i | ||||||
\(989\) | 14.0659 | + | 7.54828i | 0.447270 | + | 0.240021i | ||||
\(990\) | −0.114336 | + | 7.45926i | −0.00363384 | + | 0.237071i | ||||
\(991\) | 35.7877 | − | 10.5082i | 1.13683 | − | 0.333804i | 0.341443 | − | 0.939903i | \(-0.389084\pi\) |
0.795390 | + | 0.606098i | \(0.207266\pi\) | |||||||
\(992\) | 3.56861 | − | 3.09222i | 0.113303 | − | 0.0981780i | ||||
\(993\) | 31.5008 | + | 49.0161i | 0.999646 | + | 1.55548i | ||||
\(994\) | −8.22291 | − | 57.1916i | −0.260815 | − | 1.81401i | ||||
\(995\) | 13.5478 | + | 9.00299i | 0.429494 | + | 0.285414i | ||||
\(996\) | 9.79605 | − | 21.4504i | 0.310400 | − | 0.679680i | ||||
\(997\) | 2.78682 | + | 2.41479i | 0.0882594 | + | 0.0764772i | 0.697873 | − | 0.716221i | \(-0.254130\pi\) |
−0.609614 | + | 0.792699i | \(0.708675\pi\) | |||||||
\(998\) | 41.0458 | + | 5.90150i | 1.29928 | + | 0.186809i | ||||
\(999\) | 2.55169 | + | 5.58743i | 0.0807320 | + | 0.176778i |
(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 | 230.2.j.a.9.8 | yes | 120 | |
5.4 | even | 2 | inner | 230.2.j.a.9.5 | ✓ | 120 | |
23.18 | even | 11 | inner | 230.2.j.a.179.5 | yes | 120 | |
115.64 | even | 22 | inner | 230.2.j.a.179.8 | yes | 120 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
230.2.j.a.9.5 | ✓ | 120 | 5.4 | even | 2 | inner | |
230.2.j.a.9.8 | yes | 120 | 1.1 | even | 1 | trivial | |
230.2.j.a.179.5 | yes | 120 | 23.18 | even | 11 | inner | |
230.2.j.a.179.8 | yes | 120 | 115.64 | even | 22 | inner |