Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [189,2,Mod(47,189)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(189, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([7, 15]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("189.47");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 189 = 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 189.bd (of order \(18\), degree \(6\), 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: | \(1.50917259820\) |
Analytic rank: | \(0\) |
Dimension: | \(132\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 59.22 | ||
Character | \(\chi\) | \(=\) | 189.59 |
Dual form | 189.2.bd.a.173.22 |
$q$-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 \(\left(\mathbb{Z}/189\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(136\) |
\(\chi(n)\) | \(e\left(\frac{5}{18}\right)\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.873917 | − | 2.40107i | 0.617953 | − | 1.69781i | −0.0939899 | − | 0.995573i | \(-0.529962\pi\) |
0.711943 | − | 0.702238i | \(-0.247816\pi\) | |||||||
\(3\) | −1.61037 | − | 0.637747i | −0.929745 | − | 0.368203i | ||||
\(4\) | −3.46930 | − | 2.91109i | −1.73465 | − | 1.45555i | ||||
\(5\) | 0.802125 | + | 0.673063i | 0.358721 | + | 0.301003i | 0.804281 | − | 0.594249i | \(-0.202551\pi\) |
−0.445559 | + | 0.895252i | \(0.646995\pi\) | |||||||
\(6\) | −2.93860 | + | 3.30926i | −1.19968 | + | 1.35100i | ||||
\(7\) | −2.47251 | − | 0.941638i | −0.934522 | − | 0.355906i | ||||
\(8\) | −5.59594 | + | 3.23082i | −1.97846 | + | 1.14227i | ||||
\(9\) | 2.18656 | + | 2.05401i | 0.728853 | + | 0.684670i | ||||
\(10\) | 2.31706 | − | 1.33776i | 0.732719 | − | 0.423036i | ||||
\(11\) | −2.64358 | − | 3.15050i | −0.797070 | − | 0.949911i | 0.202498 | − | 0.979283i | \(-0.435094\pi\) |
−0.999569 | + | 0.0293714i | \(0.990649\pi\) | |||||||
\(12\) | 3.73031 | + | 6.90046i | 1.07685 | + | 1.99199i | ||||
\(13\) | 2.92808 | − | 3.48955i | 0.812103 | − | 0.967827i | −0.187793 | − | 0.982209i | \(-0.560134\pi\) |
0.999897 | + | 0.0143818i | \(0.00457802\pi\) | |||||||
\(14\) | −4.42171 | + | 5.11375i | −1.18175 | + | 1.36671i | ||||
\(15\) | −0.862472 | − | 1.59543i | −0.222689 | − | 0.411938i | ||||
\(16\) | 1.29417 | + | 7.33959i | 0.323542 | + | 1.83490i | ||||
\(17\) | 1.74141 | + | 3.01622i | 0.422355 | + | 0.731540i | 0.996169 | − | 0.0874452i | \(-0.0278703\pi\) |
−0.573814 | + | 0.818985i | \(0.694537\pi\) | |||||||
\(18\) | 6.84269 | − | 3.45504i | 1.61284 | − | 0.814360i | ||||
\(19\) | 4.80366 | + | 2.77339i | 1.10203 | + | 0.636260i | 0.936755 | − | 0.349987i | \(-0.113814\pi\) |
0.165280 | + | 0.986247i | \(0.447147\pi\) | |||||||
\(20\) | −0.823468 | − | 4.67012i | −0.184133 | − | 1.04427i | ||||
\(21\) | 3.38112 | + | 3.09322i | 0.737822 | + | 0.674996i | ||||
\(22\) | −9.87483 | + | 3.59414i | −2.10532 | + | 0.766274i | ||||
\(23\) | −2.07660 | − | 5.70542i | −0.433002 | − | 1.18966i | −0.943961 | − | 0.330058i | \(-0.892932\pi\) |
0.510959 | − | 0.859605i | \(-0.329290\pi\) | |||||||
\(24\) | 11.0720 | − | 1.63401i | 2.26005 | − | 0.333540i | ||||
\(25\) | −0.677850 | − | 3.84428i | −0.135570 | − | 0.768855i | ||||
\(26\) | −5.81974 | − | 10.0801i | −1.14135 | − | 1.97687i | ||||
\(27\) | −2.21122 | − | 4.70218i | −0.425550 | − | 0.904935i | ||||
\(28\) | 5.83670 | + | 10.4645i | 1.10303 | + | 1.97761i | ||||
\(29\) | −1.57154 | − | 1.87289i | −0.291828 | − | 0.347787i | 0.600132 | − | 0.799901i | \(-0.295115\pi\) |
−0.891960 | + | 0.452114i | \(0.850670\pi\) | |||||||
\(30\) | −4.58447 | + | 0.676579i | −0.837005 | + | 0.123526i | ||||
\(31\) | −0.681381 | + | 0.812039i | −0.122380 | + | 0.145846i | −0.823755 | − | 0.566945i | \(-0.808125\pi\) |
0.701376 | + | 0.712792i | \(0.252570\pi\) | |||||||
\(32\) | 6.02691 | + | 1.06271i | 1.06542 | + | 0.187862i | ||||
\(33\) | 2.24792 | + | 6.75939i | 0.391312 | + | 1.17666i | ||||
\(34\) | 8.76399 | − | 1.54533i | 1.50301 | − | 0.265022i | ||||
\(35\) | −1.34948 | − | 2.41947i | −0.228104 | − | 0.408965i | ||||
\(36\) | −1.60642 | − | 13.4913i | −0.267737 | − | 2.24854i | ||||
\(37\) | 3.28433 | 0.539941 | 0.269970 | − | 0.962869i | \(-0.412986\pi\) | ||||
0.269970 | + | 0.962869i | \(0.412986\pi\) | |||||||
\(38\) | 10.8571 | − | 9.11019i | 1.76125 | − | 1.47787i | ||||
\(39\) | −6.94073 | + | 3.75208i | −1.11141 | + | 0.600813i | ||||
\(40\) | −6.66319 | − | 1.17490i | −1.05354 | − | 0.185768i | ||||
\(41\) | 0.164894 | + | 0.138363i | 0.0257522 | + | 0.0216086i | 0.655573 | − | 0.755132i | \(-0.272427\pi\) |
−0.629821 | + | 0.776741i | \(0.716872\pi\) | |||||||
\(42\) | 10.3818 | − | 5.41509i | 1.60195 | − | 0.835566i | ||||
\(43\) | 9.06382 | + | 3.29896i | 1.38222 | + | 0.503087i | 0.922850 | − | 0.385159i | \(-0.125853\pi\) |
0.459369 | + | 0.888246i | \(0.348076\pi\) | |||||||
\(44\) | 18.6257i | 2.80794i | ||||||||
\(45\) | 0.371415 | + | 3.11927i | 0.0553673 | + | 0.464993i | ||||
\(46\) | −15.5139 | −2.28740 | ||||||||
\(47\) | −0.674442 | + | 0.565924i | −0.0983774 | + | 0.0825485i | −0.690650 | − | 0.723189i | \(-0.742675\pi\) |
0.592272 | + | 0.805738i | \(0.298231\pi\) | |||||||
\(48\) | 2.59671 | − | 12.6448i | 0.374803 | − | 1.82512i | ||||
\(49\) | 5.22663 | + | 4.65642i | 0.746662 | + | 0.665203i | ||||
\(50\) | −9.82275 | − | 1.73202i | −1.38915 | − | 0.244944i | ||||
\(51\) | −0.880732 | − | 5.96779i | −0.123327 | − | 0.835658i | ||||
\(52\) | −20.3168 | + | 3.58240i | −2.81743 | + | 0.496789i | ||||
\(53\) | 0.554487 | + | 0.320133i | 0.0761647 | + | 0.0439737i | 0.537599 | − | 0.843201i | \(-0.319332\pi\) |
−0.461434 | + | 0.887175i | \(0.652665\pi\) | |||||||
\(54\) | −13.2227 | + | 1.19998i | −1.79938 | + | 0.163296i | ||||
\(55\) | − | 4.30639i | − | 0.580674i | ||||||
\(56\) | 16.8783 | − | 2.71888i | 2.25546 | − | 0.363326i | ||||
\(57\) | −5.96692 | − | 7.52969i | −0.790338 | − | 0.997332i | ||||
\(58\) | −5.87034 | + | 2.13663i | −0.770813 | + | 0.280553i | ||||
\(59\) | −1.85273 | + | 10.5073i | −0.241205 | + | 1.36794i | 0.587939 | + | 0.808905i | \(0.299939\pi\) |
−0.829144 | + | 0.559035i | \(0.811172\pi\) | |||||||
\(60\) | −1.65227 | + | 8.04577i | −0.213307 | + | 1.03870i | ||||
\(61\) | 1.30597 | + | 1.55639i | 0.167212 | + | 0.199275i | 0.843143 | − | 0.537690i | \(-0.180703\pi\) |
−0.675931 | + | 0.736965i | \(0.736258\pi\) | |||||||
\(62\) | 1.35429 | + | 2.34570i | 0.171995 | + | 0.297904i | ||||
\(63\) | −3.47216 | − | 7.13752i | −0.437451 | − | 0.899242i | ||||
\(64\) | 0.365832 | − | 0.633640i | 0.0457290 | − | 0.0792050i | ||||
\(65\) | 4.69737 | − | 0.828274i | 0.582638 | − | 0.102735i | ||||
\(66\) | 18.1942 | + | 0.509751i | 2.23956 | + | 0.0627461i | ||||
\(67\) | 10.6115 | − | 3.86227i | 1.29640 | − | 0.471851i | 0.400577 | − | 0.916263i | \(-0.368810\pi\) |
0.895822 | + | 0.444412i | \(0.146587\pi\) | |||||||
\(68\) | 2.73899 | − | 15.5336i | 0.332151 | − | 1.88372i | ||||
\(69\) | −0.294521 | + | 10.5122i | −0.0354562 | + | 1.26552i | ||||
\(70\) | −6.98864 | + | 1.12578i | −0.835303 | + | 0.134557i | ||||
\(71\) | 9.48338 | + | 5.47523i | 1.12547 | + | 0.649791i | 0.942792 | − | 0.333382i | \(-0.108190\pi\) |
0.182679 | + | 0.983173i | \(0.441523\pi\) | |||||||
\(72\) | −18.8720 | − | 4.42975i | −2.22408 | − | 0.522051i | ||||
\(73\) | − | 11.4939i | − | 1.34526i | −0.739980 | − | 0.672628i | \(-0.765165\pi\) | ||
0.739980 | − | 0.672628i | \(-0.234835\pi\) | |||||||
\(74\) | 2.87023 | − | 7.88590i | 0.333658 | − | 0.916717i | ||||
\(75\) | −1.36009 | + | 6.62299i | −0.157049 | + | 0.764757i | ||||
\(76\) | −8.59174 | − | 23.6056i | −0.985541 | − | 2.70775i | ||||
\(77\) | 3.56966 | + | 10.2789i | 0.406801 | + | 1.17139i | ||||
\(78\) | 2.94337 | + | 19.9442i | 0.333271 | + | 2.25823i | ||||
\(79\) | 5.09203 | + | 1.85335i | 0.572899 | + | 0.208518i | 0.612191 | − | 0.790710i | \(-0.290288\pi\) |
−0.0392926 | + | 0.999228i | \(0.512510\pi\) | |||||||
\(80\) | −3.90192 | + | 6.75833i | −0.436248 | + | 0.755604i | ||||
\(81\) | 0.562076 | + | 8.98243i | 0.0624529 | + | 0.998048i | ||||
\(82\) | 0.476322 | − | 0.275005i | 0.0526010 | − | 0.0303692i | ||||
\(83\) | −7.87254 | + | 6.60584i | −0.864123 | + | 0.725085i | −0.962852 | − | 0.270029i | \(-0.912967\pi\) |
0.0987291 | + | 0.995114i | \(0.468522\pi\) | |||||||
\(84\) | −2.72550 | − | 20.5741i | −0.297377 | − | 2.24482i | ||||
\(85\) | −0.633272 | + | 3.59147i | −0.0686880 | + | 0.389549i | ||||
\(86\) | 15.8420 | − | 18.8798i | 1.70829 | − | 2.03586i | ||||
\(87\) | 1.33633 | + | 4.01829i | 0.143270 | + | 0.430806i | ||||
\(88\) | 24.9720 | + | 9.08907i | 2.66203 | + | 0.968898i | ||||
\(89\) | 2.18525 | − | 3.78496i | 0.231636 | − | 0.401205i | −0.726654 | − | 0.687004i | \(-0.758926\pi\) |
0.958290 | + | 0.285799i | \(0.0922589\pi\) | |||||||
\(90\) | 7.81415 | + | 1.83419i | 0.823684 | + | 0.193340i | ||||
\(91\) | −10.5256 | + | 5.87076i | −1.10338 | + | 0.615423i | ||||
\(92\) | −9.40464 | + | 25.8390i | −0.980501 | + | 2.69390i | ||||
\(93\) | 1.61515 | − | 0.873131i | 0.167483 | − | 0.0905394i | ||||
\(94\) | 0.769415 | + | 2.11395i | 0.0793591 | + | 0.218037i | ||||
\(95\) | 1.98647 | + | 5.45777i | 0.203807 | + | 0.559956i | ||||
\(96\) | −9.02779 | − | 5.55499i | −0.921395 | − | 0.566953i | ||||
\(97\) | −3.53959 | + | 9.72494i | −0.359391 | + | 0.987418i | 0.619851 | + | 0.784720i | \(0.287193\pi\) |
−0.979241 | + | 0.202698i | \(0.935029\pi\) | |||||||
\(98\) | 15.7480 | − | 8.48017i | 1.59079 | − | 0.856627i | ||||
\(99\) | 0.690812 | − | 12.3187i | 0.0694293 | − | 1.23808i | ||||
\(100\) | −8.83937 | + | 15.3102i | −0.883937 | + | 1.53102i | ||||
\(101\) | −10.3142 | − | 3.75407i | −1.02630 | − | 0.373544i | −0.226632 | − | 0.973980i | \(-0.572771\pi\) |
−0.799673 | + | 0.600436i | \(0.794994\pi\) | |||||||
\(102\) | −15.0988 | − | 3.10066i | −1.49500 | − | 0.307011i | ||||
\(103\) | 7.17676 | − | 8.55293i | 0.707148 | − | 0.842746i | −0.286168 | − | 0.958180i | \(-0.592381\pi\) |
0.993315 | + | 0.115434i | \(0.0368259\pi\) | |||||||
\(104\) | −5.11126 | + | 28.9874i | −0.501200 | + | 2.84245i | ||||
\(105\) | 0.630154 | + | 4.75686i | 0.0614967 | + | 0.464222i | ||||
\(106\) | 1.25324 | − | 1.05159i | 0.121725 | − | 0.102140i | ||||
\(107\) | −1.14302 | + | 0.659921i | −0.110500 | + | 0.0637970i | −0.554231 | − | 0.832363i | \(-0.686988\pi\) |
0.443732 | + | 0.896160i | \(0.353654\pi\) | |||||||
\(108\) | −6.01708 | + | 22.7504i | −0.578994 | + | 2.18915i | ||||
\(109\) | −6.88550 | + | 11.9260i | −0.659511 | + | 1.14231i | 0.321231 | + | 0.947001i | \(0.395903\pi\) |
−0.980742 | + | 0.195306i | \(0.937430\pi\) | |||||||
\(110\) | −10.3399 | − | 3.76343i | −0.985875 | − | 0.358829i | ||||
\(111\) | −5.28898 | − | 2.09457i | −0.502007 | − | 0.198808i | ||||
\(112\) | 3.71139 | − | 19.3659i | 0.350694 | − | 1.82990i | ||||
\(113\) | −2.09848 | − | 5.76552i | −0.197408 | − | 0.542374i | 0.801007 | − | 0.598655i | \(-0.204298\pi\) |
−0.998415 | + | 0.0562808i | \(0.982076\pi\) | |||||||
\(114\) | −23.2939 | + | 7.74666i | −2.18167 | + | 0.725541i | ||||
\(115\) | 2.17441 | − | 5.97415i | 0.202765 | − | 0.557092i | ||||
\(116\) | 11.0725i | 1.02806i | ||||||||
\(117\) | 13.5700 | − | 1.61580i | 1.25455 | − | 0.149380i | ||||
\(118\) | 23.6097 | + | 13.6311i | 2.17345 | + | 1.25484i | ||||
\(119\) | −1.46548 | − | 9.09742i | −0.134340 | − | 0.833959i | ||||
\(120\) | 9.98089 | + | 6.14145i | 0.911126 | + | 0.560635i | ||||
\(121\) | −1.02699 | + | 5.82432i | −0.0933623 | + | 0.529484i | ||||
\(122\) | 4.87830 | − | 1.77556i | 0.441660 | − | 0.160751i | ||||
\(123\) | −0.177300 | − | 0.327975i | −0.0159866 | − | 0.0295725i | ||||
\(124\) | 4.72784 | − | 0.833645i | 0.424572 | − | 0.0748636i | ||||
\(125\) | 4.66147 | − | 8.07391i | 0.416935 | − | 0.722152i | ||||
\(126\) | −20.1720 | + | 2.09929i | −1.79707 | + | 0.187019i | ||||
\(127\) | −9.17375 | − | 15.8894i | −0.814039 | − | 1.40996i | −0.910016 | − | 0.414573i | \(-0.863931\pi\) |
0.0959776 | − | 0.995383i | \(-0.469402\pi\) | |||||||
\(128\) | 6.66586 | + | 7.94407i | 0.589185 | + | 0.702163i | ||||
\(129\) | −12.4922 | − | 11.0930i | −1.09987 | − | 0.976680i | ||||
\(130\) | 2.11637 | − | 12.0026i | 0.185618 | − | 1.05269i | ||||
\(131\) | −11.6575 | + | 4.24298i | −1.01852 | + | 0.370711i | −0.796699 | − | 0.604377i | \(-0.793422\pi\) |
−0.221821 | + | 0.975087i | \(0.571200\pi\) | |||||||
\(132\) | 11.8785 | − | 29.9943i | 1.03389 | − | 2.61067i | ||||
\(133\) | −9.26557 | − | 11.3806i | −0.803427 | − | 0.986819i | ||||
\(134\) | − | 28.8542i | − | 2.49262i | ||||||
\(135\) | 1.39119 | − | 5.26003i | 0.119734 | − | 0.452711i | ||||
\(136\) | −19.4897 | − | 11.2524i | −1.67123 | − | 0.964883i | ||||
\(137\) | −3.16758 | + | 0.558531i | −0.270625 | + | 0.0477185i | −0.307314 | − | 0.951608i | \(-0.599430\pi\) |
0.0366888 | + | 0.999327i | \(0.488319\pi\) | |||||||
\(138\) | 24.9830 | + | 9.89392i | 2.12670 | + | 0.842227i | ||||
\(139\) | 7.01041 | + | 1.23613i | 0.594616 | + | 0.104847i | 0.462854 | − | 0.886435i | \(-0.346825\pi\) |
0.131762 | + | 0.991281i | \(0.457937\pi\) | |||||||
\(140\) | −2.36153 | + | 12.3223i | −0.199586 | + | 1.04143i | ||||
\(141\) | 1.44701 | − | 0.481222i | 0.121861 | − | 0.0405262i | ||||
\(142\) | 21.4341 | − | 17.9853i | 1.79871 | − | 1.50930i | ||||
\(143\) | −18.7344 | −1.56665 | ||||||||
\(144\) | −12.2458 | + | 18.7067i | −1.02049 | + | 1.55889i | ||||
\(145\) | − | 2.56004i | − | 0.212600i | ||||||
\(146\) | −27.5976 | − | 10.0447i | −2.28399 | − | 0.831305i | ||||
\(147\) | −5.44718 | − | 10.8318i | −0.449276 | − | 0.893393i | ||||
\(148\) | −11.3943 | − | 9.56099i | −0.936609 | − | 0.785908i | ||||
\(149\) | −2.74559 | − | 0.484122i | −0.224928 | − | 0.0396608i | 0.0600483 | − | 0.998195i | \(-0.480875\pi\) |
−0.284976 | + | 0.958535i | \(0.591986\pi\) | |||||||
\(150\) | 14.7136 | + | 9.05361i | 1.20136 | + | 0.739224i | ||||
\(151\) | −2.08446 | + | 1.74907i | −0.169631 | + | 0.142337i | −0.723651 | − | 0.690166i | \(-0.757537\pi\) |
0.554020 | + | 0.832503i | \(0.313093\pi\) | |||||||
\(152\) | −35.8413 | −2.90711 | ||||||||
\(153\) | −2.38764 | + | 10.1720i | −0.193029 | + | 0.822359i | ||||
\(154\) | 27.8000 | + | 0.411951i | 2.24019 | + | 0.0331960i | ||||
\(155\) | −1.09311 | + | 0.192744i | −0.0878004 | + | 0.0154816i | ||||
\(156\) | 35.0021 | + | 7.18799i | 2.80241 | + | 0.575500i | ||||
\(157\) | 15.1880 | + | 2.67806i | 1.21214 | + | 0.213732i | 0.742938 | − | 0.669360i | \(-0.233432\pi\) |
0.469198 | + | 0.883093i | \(0.344543\pi\) | |||||||
\(158\) | 8.90003 | − | 10.6066i | 0.708048 | − | 0.843819i | ||||
\(159\) | −0.688763 | − | 0.869154i | −0.0546225 | − | 0.0689284i | ||||
\(160\) | 4.11907 | + | 4.90891i | 0.325641 | + | 0.388084i | ||||
\(161\) | −0.238015 | + | 16.0621i | −0.0187582 | + | 1.26587i | ||||
\(162\) | 22.0586 | + | 6.50032i | 1.73309 | + | 0.510713i | ||||
\(163\) | −0.0485493 | − | 0.0840899i | −0.00380267 | − | 0.00658643i | 0.864118 | − | 0.503290i | \(-0.167877\pi\) |
−0.867920 | + | 0.496703i | \(0.834544\pi\) | |||||||
\(164\) | −0.169282 | − | 0.960044i | −0.0132187 | − | 0.0749669i | ||||
\(165\) | −2.74639 | + | 6.93487i | −0.213806 | + | 0.539879i | ||||
\(166\) | 8.98113 | + | 24.6754i | 0.697071 | + | 1.91519i | ||||
\(167\) | 7.08005 | − | 2.57693i | 0.547871 | − | 0.199409i | −0.0532293 | − | 0.998582i | \(-0.516951\pi\) |
0.601100 | + | 0.799174i | \(0.294729\pi\) | |||||||
\(168\) | −28.9142 | − | 6.38567i | −2.23078 | − | 0.492665i | ||||
\(169\) | −1.34588 | − | 7.63285i | −0.103529 | − | 0.587142i | ||||
\(170\) | 8.06992 | + | 4.65917i | 0.618935 | + | 0.357342i | ||||
\(171\) | 4.80690 | + | 15.9309i | 0.367593 | + | 1.21827i | ||||
\(172\) | −21.8416 | − | 37.8307i | −1.66540 | − | 2.88456i | ||||
\(173\) | 2.45923 | + | 13.9470i | 0.186972 | + | 1.06037i | 0.923396 | + | 0.383849i | \(0.125402\pi\) |
−0.736424 | + | 0.676520i | \(0.763487\pi\) | |||||||
\(174\) | 10.8160 | + | 0.303034i | 0.819960 | + | 0.0229730i | ||||
\(175\) | −1.94393 | + | 10.1433i | −0.146947 | + | 0.766762i | ||||
\(176\) | 19.7021 | − | 23.4801i | 1.48510 | − | 1.76988i | ||||
\(177\) | 9.68460 | − | 15.7391i | 0.727939 | − | 1.18302i | ||||
\(178\) | −7.17822 | − | 8.55467i | −0.538030 | − | 0.641199i | ||||
\(179\) | −12.8430 | + | 7.41494i | −0.959934 | + | 0.554218i | −0.896153 | − | 0.443746i | \(-0.853649\pi\) |
−0.0637814 | + | 0.997964i | \(0.520316\pi\) | |||||||
\(180\) | 7.79192 | − | 11.9029i | 0.580775 | − | 0.887190i | ||||
\(181\) | −7.99205 | + | 4.61421i | −0.594045 | + | 0.342972i | −0.766695 | − | 0.642011i | \(-0.778100\pi\) |
0.172651 | + | 0.984983i | \(0.444767\pi\) | |||||||
\(182\) | 4.89759 | + | 30.4032i | 0.363033 | + | 2.25364i | ||||
\(183\) | −1.11050 | − | 3.33923i | −0.0820906 | − | 0.246843i | ||||
\(184\) | 30.0537 | + | 25.2181i | 2.21559 | + | 1.85910i | ||||
\(185\) | 2.63445 | + | 2.21056i | 0.193688 | + | 0.162524i | ||||
\(186\) | −0.684940 | − | 4.64112i | −0.0502223 | − | 0.340304i | ||||
\(187\) | 4.89902 | − | 13.4599i | 0.358252 | − | 0.984288i | ||||
\(188\) | 3.98730 | 0.290804 | ||||||||
\(189\) | 1.03952 | + | 13.7084i | 0.0756139 | + | 0.997137i | ||||
\(190\) | 14.8405 | 1.07664 | ||||||||
\(191\) | 7.05227 | − | 19.3759i | 0.510284 | − | 1.40199i | −0.370658 | − | 0.928770i | \(-0.620868\pi\) |
0.880942 | − | 0.473225i | \(-0.156910\pi\) | |||||||
\(192\) | −0.993225 | + | 0.787084i | −0.0716799 | + | 0.0568029i | ||||
\(193\) | −6.15262 | − | 5.16266i | −0.442875 | − | 0.371616i | 0.393909 | − | 0.919150i | \(-0.371123\pi\) |
−0.836784 | + | 0.547533i | \(0.815567\pi\) | |||||||
\(194\) | 20.2569 | + | 16.9976i | 1.45436 | + | 1.22036i | ||||
\(195\) | −8.09272 | − | 1.66191i | −0.579532 | − | 0.119012i | ||||
\(196\) | −4.57751 | − | 31.3698i | −0.326965 | − | 2.24070i | ||||
\(197\) | 18.9779 | − | 10.9569i | 1.35212 | − | 0.780646i | 0.363572 | − | 0.931566i | \(-0.381557\pi\) |
0.988546 | + | 0.150920i | \(0.0482237\pi\) | |||||||
\(198\) | −28.9743 | − | 12.4242i | −2.05911 | − | 0.882950i | ||||
\(199\) | −14.8877 | + | 8.59540i | −1.05536 | + | 0.609312i | −0.924145 | − | 0.382042i | \(-0.875221\pi\) |
−0.131214 | + | 0.991354i | \(0.541888\pi\) | |||||||
\(200\) | 16.2134 | + | 19.3223i | 1.14646 | + | 1.36629i | ||||
\(201\) | −19.5515 | − | 0.547779i | −1.37906 | − | 0.0386373i | ||||
\(202\) | −18.0276 | + | 21.4844i | −1.26842 | + | 1.51164i | ||||
\(203\) | 2.12207 | + | 6.11057i | 0.148940 | + | 0.428878i | ||||
\(204\) | −14.3173 | + | 23.2680i | −1.00241 | + | 1.62908i | ||||
\(205\) | 0.0391390 | + | 0.221968i | 0.00273359 | + | 0.0155030i | ||||
\(206\) | −14.2643 | − | 24.7064i | −0.993839 | − | 1.72138i | ||||
\(207\) | 7.17838 | − | 16.7406i | 0.498932 | − | 1.16355i | ||||
\(208\) | 29.4013 | + | 16.9748i | 2.03861 | + | 1.17699i | ||||
\(209\) | −3.96129 | − | 22.4656i | −0.274008 | − | 1.55398i | ||||
\(210\) | 11.9722 | + | 2.64406i | 0.826163 | + | 0.182457i | ||||
\(211\) | −14.7618 | + | 5.37287i | −1.01625 | + | 0.369884i | −0.795829 | − | 0.605522i | \(-0.792964\pi\) |
−0.220418 | + | 0.975405i | \(0.570742\pi\) | |||||||
\(212\) | −0.991747 | − | 2.72480i | −0.0681135 | − | 0.187140i | ||||
\(213\) | −11.7799 | − | 14.8651i | −0.807146 | − | 1.01854i | ||||
\(214\) | 0.585613 | + | 3.32118i | 0.0400317 | + | 0.227031i | ||||
\(215\) | 5.04991 | + | 8.74670i | 0.344401 | + | 0.596520i | ||||
\(216\) | 27.5657 | + | 19.1691i | 1.87561 | + | 1.30429i | ||||
\(217\) | 2.44937 | − | 1.36616i | 0.166274 | − | 0.0927410i | ||||
\(218\) | 22.6179 | + | 26.9549i | 1.53187 | + | 1.82562i | ||||
\(219\) | −7.33018 | + | 18.5094i | −0.495328 | + | 1.25075i | ||||
\(220\) | −12.5363 | + | 14.9402i | −0.845198 | + | 1.00727i | ||||
\(221\) | 15.6242 | + | 2.75497i | 1.05100 | + | 0.185320i | ||||
\(222\) | −9.65133 | + | 10.8687i | −0.647755 | + | 0.729460i | ||||
\(223\) | 1.32691 | − | 0.233969i | 0.0888562 | − | 0.0156678i | −0.129043 | − | 0.991639i | \(-0.541191\pi\) |
0.217900 | + | 0.975971i | \(0.430079\pi\) | |||||||
\(224\) | −13.9009 | − | 8.30272i | −0.928794 | − | 0.554749i | ||||
\(225\) | 6.41403 | − | 9.79805i | 0.427602 | − | 0.653203i | ||||
\(226\) | −15.6773 | −1.04284 | ||||||||
\(227\) | 15.1925 | − | 12.7480i | 1.00836 | − | 0.846117i | 0.0202416 | − | 0.999795i | \(-0.493556\pi\) |
0.988121 | + | 0.153678i | \(0.0491120\pi\) | |||||||
\(228\) | −1.21855 | + | 43.4930i | −0.0807006 | + | 2.88040i | ||||
\(229\) | 0.817942 | + | 0.144225i | 0.0540511 | + | 0.00953067i | 0.200608 | − | 0.979672i | \(-0.435708\pi\) |
−0.146557 | + | 0.989202i | \(0.546819\pi\) | |||||||
\(230\) | −12.4441 | − | 10.4418i | −0.820538 | − | 0.688513i | ||||
\(231\) | 0.806903 | − | 18.8294i | 0.0530903 | − | 1.23888i | ||||
\(232\) | 14.8452 | + | 5.40322i | 0.974637 | + | 0.354739i | ||||
\(233\) | − | 3.95980i | − | 0.259415i | −0.991552 | − | 0.129707i | \(-0.958596\pi\) | ||
0.991552 | − | 0.129707i | \(-0.0414038\pi\) | |||||||
\(234\) | 7.97941 | − | 33.9945i | 0.521630 | − | 2.22229i | ||||
\(235\) | −0.921889 | −0.0601374 | ||||||||
\(236\) | 37.0155 | − | 31.0597i | 2.40951 | − | 2.02182i | ||||
\(237\) | −7.01807 | − | 6.23200i | −0.455873 | − | 0.404812i | ||||
\(238\) | −23.1242 | − | 4.43167i | −1.49892 | − | 0.287262i | ||||
\(239\) | 23.0139 | + | 4.05798i | 1.48865 | + | 0.262489i | 0.858028 | − | 0.513603i | \(-0.171690\pi\) |
0.630620 | + | 0.776092i | \(0.282801\pi\) | |||||||
\(240\) | 10.5936 | − | 8.39494i | 0.683815 | − | 0.541891i | ||||
\(241\) | 4.03917 | − | 0.712215i | 0.260186 | − | 0.0458778i | −0.0420335 | − | 0.999116i | \(-0.513384\pi\) |
0.302219 | + | 0.953238i | \(0.402272\pi\) | |||||||
\(242\) | 13.0871 | + | 7.55584i | 0.841270 | + | 0.485708i | ||||
\(243\) | 4.82337 | − | 14.8235i | 0.309419 | − | 0.950926i | ||||
\(244\) | − | 9.20137i | − | 0.589057i | ||||||
\(245\) | 1.05835 | + | 7.25289i | 0.0676155 | + | 0.463370i | ||||
\(246\) | −0.942436 | + | 0.139085i | −0.0600875 | + | 0.00886776i | ||||
\(247\) | 23.7434 | − | 8.64188i | 1.51075 | − | 0.549870i | ||||
\(248\) | 1.18942 | − | 6.74554i | 0.0755282 | − | 0.428342i | ||||
\(249\) | 16.8905 | − | 5.61714i | 1.07039 | − | 0.355972i | ||||
\(250\) | −15.3123 | − | 18.2484i | −0.968432 | − | 1.15413i | ||||
\(251\) | −2.57441 | − | 4.45900i | −0.162495 | − | 0.281450i | 0.773268 | − | 0.634080i | \(-0.218621\pi\) |
−0.935763 | + | 0.352630i | \(0.885288\pi\) | |||||||
\(252\) | −8.73199 | + | 34.8700i | −0.550064 | + | 2.19660i | ||||
\(253\) | −12.4853 | + | 21.6251i | −0.784941 | + | 1.35956i | ||||
\(254\) | −46.1686 | + | 8.14077i | −2.89688 | + | 0.510797i | ||||
\(255\) | 3.31025 | − | 5.37971i | 0.207296 | − | 0.336890i | ||||
\(256\) | 26.2747 | − | 9.56322i | 1.64217 | − | 0.597701i | ||||
\(257\) | −4.14398 | + | 23.5017i | −0.258495 | + | 1.46600i | 0.528446 | + | 0.848967i | \(0.322775\pi\) |
−0.786941 | + | 0.617029i | \(0.788336\pi\) | |||||||
\(258\) | −37.5520 | + | 20.3002i | −2.33789 | + | 1.26384i | ||||
\(259\) | −8.12055 | − | 3.09265i | −0.504586 | − | 0.192168i | ||||
\(260\) | −18.7078 | − | 10.8010i | −1.16021 | − | 0.669847i | ||||
\(261\) | 0.410670 | − | 7.32315i | 0.0254199 | − | 0.453292i | ||||
\(262\) | 31.6984i | 1.95834i | ||||||||
\(263\) | −5.83611 | + | 16.0346i | −0.359870 | + | 0.988734i | 0.619204 | + | 0.785230i | \(0.287455\pi\) |
−0.979074 | + | 0.203504i | \(0.934767\pi\) | |||||||
\(264\) | −34.4176 | − | 30.5625i | −2.11825 | − | 1.88099i | ||||
\(265\) | 0.229298 | + | 0.629992i | 0.0140857 | + | 0.0387001i | ||||
\(266\) | −35.4228 | + | 12.3016i | −2.17191 | + | 0.754259i | ||||
\(267\) | −5.93289 | + | 4.70154i | −0.363087 | + | 0.287729i | ||||
\(268\) | −48.0579 | − | 17.4916i | −2.93560 | − | 1.06847i | ||||
\(269\) | 0.632582 | − | 1.09566i | 0.0385692 | − | 0.0668038i | −0.846096 | − | 0.533030i | \(-0.821053\pi\) |
0.884666 | + | 0.466226i | \(0.154387\pi\) | |||||||
\(270\) | −11.4139 | − | 7.93716i | −0.694628 | − | 0.483040i | ||||
\(271\) | 0.441176 | − | 0.254713i | 0.0267995 | − | 0.0154727i | −0.486540 | − | 0.873658i | \(-0.661741\pi\) |
0.513340 | + | 0.858185i | \(0.328408\pi\) | |||||||
\(272\) | −19.8841 | + | 16.6848i | −1.20565 | + | 1.01166i | ||||
\(273\) | 20.6941 | − | 2.74141i | 1.25247 | − | 0.165918i | ||||
\(274\) | −1.42714 | + | 8.09369i | −0.0862164 | + | 0.488958i | ||||
\(275\) | −10.3194 | + | 12.2982i | −0.622286 | + | 0.741611i | ||||
\(276\) | 31.6237 | − | 35.6125i | 1.90352 | − | 2.14362i | ||||
\(277\) | −6.66781 | − | 2.42689i | −0.400630 | − | 0.145817i | 0.133844 | − | 0.991002i | \(-0.457268\pi\) |
−0.534474 | + | 0.845185i | \(0.679490\pi\) | |||||||
\(278\) | 9.09454 | − | 15.7522i | 0.545454 | − | 0.944755i | ||||
\(279\) | −3.15782 | + | 0.376005i | −0.189054 | + | 0.0225108i | ||||
\(280\) | 15.3685 | + | 9.17927i | 0.918443 | + | 0.548566i | ||||
\(281\) | 4.02711 | − | 11.0644i | 0.240237 | − | 0.660046i | −0.759715 | − | 0.650256i | \(-0.774662\pi\) |
0.999952 | − | 0.00978955i | \(-0.00311616\pi\) | |||||||
\(282\) | 0.109125 | − | 3.89493i | 0.00649829 | − | 0.231939i | ||||
\(283\) | 2.64326 | + | 7.26230i | 0.157126 | + | 0.431699i | 0.993129 | − | 0.117025i | \(-0.0373359\pi\) |
−0.836003 | + | 0.548724i | \(0.815114\pi\) | |||||||
\(284\) | −16.9618 | − | 46.6022i | −1.00650 | − | 2.76533i | ||||
\(285\) | 0.281737 | − | 10.0559i | 0.0166887 | − | 0.595659i | ||||
\(286\) | −16.3723 | + | 44.9826i | −0.968117 | + | 2.65988i | ||||
\(287\) | −0.277415 | − | 0.497374i | −0.0163753 | − | 0.0293591i | ||||
\(288\) | 10.9954 | + | 14.7030i | 0.647909 | + | 0.866383i | ||||
\(289\) | 2.43496 | − | 4.21747i | 0.143233 | − | 0.248086i | ||||
\(290\) | −6.14683 | − | 2.23726i | −0.360954 | − | 0.131377i | ||||
\(291\) | 11.9021 | − | 13.4034i | 0.697712 | − | 0.785718i | ||||
\(292\) | −33.4597 | + | 39.8758i | −1.95808 | + | 2.33355i | ||||
\(293\) | −1.74277 | + | 9.88373i | −0.101814 | + | 0.577414i | 0.890632 | + | 0.454725i | \(0.150263\pi\) |
−0.992445 | + | 0.122688i | \(0.960848\pi\) | |||||||
\(294\) | −30.7683 | + | 3.61293i | −1.79444 | + | 0.210710i | ||||
\(295\) | −8.55823 | + | 7.18121i | −0.498279 | + | 0.418106i | ||||
\(296\) | −18.3789 | + | 10.6111i | −1.06825 | + | 0.616756i | ||||
\(297\) | −8.96867 | + | 19.3971i | −0.520415 | + | 1.12553i | ||||
\(298\) | −3.56183 | + | 6.16927i | −0.206331 | + | 0.357376i | ||||
\(299\) | −25.9898 | − | 9.45952i | −1.50303 | − | 0.547058i | ||||
\(300\) | 23.9987 | − | 19.0178i | 1.38556 | − | 1.09799i | ||||
\(301\) | −19.3040 | − | 16.6916i | −1.11266 | − | 0.962085i | ||||
\(302\) | 2.37799 | + | 6.53347i | 0.136838 | + | 0.375959i | ||||
\(303\) | 14.2155 | + | 12.6233i | 0.816662 | + | 0.725190i | ||||
\(304\) | −14.1388 | + | 38.8461i | −0.810917 | + | 2.22798i | ||||
\(305\) | 2.12742i | 0.121815i | ||||||||
\(306\) | 22.3371 | + | 14.6224i | 1.27693 | + | 0.835906i | ||||
\(307\) | 20.1755 | + | 11.6483i | 1.15148 | + | 0.664805i | 0.949246 | − | 0.314534i | \(-0.101848\pi\) |
0.202229 | + | 0.979338i | \(0.435181\pi\) | |||||||
\(308\) | 17.5387 | − | 46.0524i | 0.999361 | − | 2.62408i | ||||
\(309\) | −17.0118 | + | 9.19640i | −0.967769 | + | 0.523165i | ||||
\(310\) | −0.492493 | + | 2.79306i | −0.0279717 | + | 0.158635i | ||||
\(311\) | 8.98780 | − | 3.27129i | 0.509651 | − | 0.185498i | −0.0743787 | − | 0.997230i | \(-0.523697\pi\) |
0.584030 | + | 0.811732i | \(0.301475\pi\) | |||||||
\(312\) | 26.7176 | − | 43.4206i | 1.51259 | − | 2.45821i | ||||
\(313\) | 6.58420 | − | 1.16097i | 0.372161 | − | 0.0656220i | 0.0155604 | − | 0.999879i | \(-0.495047\pi\) |
0.356601 | + | 0.934257i | \(0.383936\pi\) | |||||||
\(314\) | 19.7033 | − | 34.1271i | 1.11192 | − | 1.92590i | ||||
\(315\) | 2.01889 | − | 8.06216i | 0.113752 | − | 0.454251i | ||||
\(316\) | −12.2705 | − | 21.2532i | −0.690272 | − | 1.19559i | ||||
\(317\) | −1.60211 | − | 1.90932i | −0.0899834 | − | 0.107238i | 0.719174 | − | 0.694830i | \(-0.244520\pi\) |
−0.809157 | + | 0.587592i | \(0.800076\pi\) | |||||||
\(318\) | −2.68882 | + | 0.894199i | −0.150782 | + | 0.0501442i | ||||
\(319\) | −1.74604 | + | 9.90229i | −0.0977595 | + | 0.554422i | ||||
\(320\) | 0.719923 | − | 0.262030i | 0.0402449 | − | 0.0146479i | ||||
\(321\) | 2.26154 | − | 0.333760i | 0.126227 | − | 0.0186286i | ||||
\(322\) | 38.3583 | + | 14.6085i | 2.13762 | + | 0.814098i | ||||
\(323\) | 19.3185i | 1.07491i | ||||||||
\(324\) | 24.1987 | − | 32.7990i | 1.34437 | − | 1.82217i | ||||
\(325\) | −15.3996 | − | 8.89096i | −0.854216 | − | 0.493182i | ||||
\(326\) | −0.244333 | + | 0.0430826i | −0.0135324 | + | 0.00238612i | ||||
\(327\) | 18.6940 | − | 14.8141i | 1.03378 | − | 0.819221i | ||||
\(328\) | −1.36976 | − | 0.241526i | −0.0756325 | − | 0.0133360i | ||||
\(329\) | 2.20046 | − | 0.764173i | 0.121315 | − | 0.0421302i | ||||
\(330\) | 14.2510 | + | 12.6548i | 0.784490 | + | 0.696622i | ||||
\(331\) | −23.4806 | + | 19.7025i | −1.29061 | + | 1.08295i | −0.298921 | + | 0.954278i | \(0.596627\pi\) |
−0.991687 | + | 0.128671i | \(0.958929\pi\) | |||||||
\(332\) | 46.5424 | 2.55435 | ||||||||
\(333\) | 7.18138 | + | 6.74605i | 0.393537 | + | 0.369681i | ||||
\(334\) | − | 19.2517i | − | 1.05341i | ||||||
\(335\) | 11.1113 | + | 4.04418i | 0.607075 | + | 0.220957i | ||||
\(336\) | −18.3272 | + | 28.8192i | −0.999831 | + | 1.57222i | ||||
\(337\) | −9.52767 | − | 7.99467i | −0.519005 | − | 0.435497i | 0.345279 | − | 0.938500i | \(-0.387784\pi\) |
−0.864285 | + | 0.503003i | \(0.832229\pi\) | |||||||
\(338\) | −19.5032 | − | 3.43894i | −1.06083 | − | 0.187053i | ||||
\(339\) | −0.297623 | + | 10.6229i | −0.0161647 | + | 0.576956i | ||||
\(340\) | 12.6521 | − | 10.6164i | 0.686156 | − | 0.575754i | ||||
\(341\) | 4.35961 | 0.236086 | ||||||||
\(342\) | 42.4521 | + | 2.38064i | 2.29555 | + | 0.128730i | ||||
\(343\) | −8.53825 | − | 16.4347i | −0.461022 | − | 0.887389i | ||||
\(344\) | −61.3789 | + | 10.8228i | −3.30933 | + | 0.583524i | ||||
\(345\) | −7.31159 | + | 8.23384i | −0.393643 | + | 0.443295i | ||||
\(346\) | 35.6368 | + | 6.28372i | 1.91584 | + | 0.337815i | ||||
\(347\) | 4.69084 | − | 5.59032i | 0.251817 | − | 0.300104i | −0.625296 | − | 0.780388i | \(-0.715022\pi\) |
0.877113 | + | 0.480284i | \(0.159466\pi\) | |||||||
\(348\) | 7.06147 | − | 17.8308i | 0.378535 | − | 0.955833i | ||||
\(349\) | 11.2139 | + | 13.3642i | 0.600265 | + | 0.715368i | 0.977544 | − | 0.210732i | \(-0.0675846\pi\) |
−0.377279 | + | 0.926100i | \(0.623140\pi\) | |||||||
\(350\) | 22.6559 | + | 13.5319i | 1.21101 | + | 0.723311i | ||||
\(351\) | −22.8831 | − | 6.05219i | −1.22141 | − | 0.323042i | ||||
\(352\) | −12.5846 | − | 21.7971i | −0.670760 | − | 1.16179i | ||||
\(353\) | 3.77759 | + | 21.4238i | 0.201061 | + | 1.14027i | 0.903519 | + | 0.428547i | \(0.140974\pi\) |
−0.702459 | + | 0.711725i | \(0.747914\pi\) | |||||||
\(354\) | −29.3271 | − | 37.0080i | −1.55872 | − | 1.96696i | ||||
\(355\) | 3.92168 | + | 10.7747i | 0.208141 | + | 0.571864i | ||||
\(356\) | −18.5997 | + | 6.76972i | −0.985780 | + | 0.358794i | ||||
\(357\) | −3.44188 | + | 15.5848i | −0.182164 | + | 0.824834i | ||||
\(358\) | 6.58000 | + | 37.3171i | 0.347764 | + | 1.97227i | ||||
\(359\) | 11.2506 | + | 6.49553i | 0.593783 | + | 0.342821i | 0.766592 | − | 0.642135i | \(-0.221951\pi\) |
−0.172809 | + | 0.984955i | \(0.555284\pi\) | |||||||
\(360\) | −12.1562 | − | 16.2553i | −0.640688 | − | 0.856727i | ||||
\(361\) | 5.88341 | + | 10.1904i | 0.309653 | + | 0.536335i | ||||
\(362\) | 4.09465 | + | 23.2219i | 0.215210 | + | 1.22052i | ||||
\(363\) | 5.36826 | − | 8.72434i | 0.281761 | − | 0.457909i | ||||
\(364\) | 53.6068 | + | 10.2735i | 2.80976 | + | 0.538480i | ||||
\(365\) | 7.73611 | − | 9.21953i | 0.404926 | − | 0.482572i | ||||
\(366\) | −8.98820 | − | 0.251824i | −0.469821 | − | 0.0131631i | ||||
\(367\) | 1.88358 | + | 2.24476i | 0.0983218 | + | 0.117175i | 0.812962 | − | 0.582317i | \(-0.197854\pi\) |
−0.714640 | + | 0.699493i | \(0.753409\pi\) | |||||||
\(368\) | 39.1880 | − | 22.6252i | 2.04281 | − | 1.17942i | ||||
\(369\) | 0.0763524 | + | 0.641233i | 0.00397475 | + | 0.0333812i | ||||
\(370\) | 7.60999 | − | 4.39363i | 0.395625 | − | 0.228414i | ||||
\(371\) | −1.06953 | − | 1.31366i | −0.0555270 | − | 0.0682018i | ||||
\(372\) | −8.14520 | − | 1.67269i | −0.422309 | − | 0.0867248i | ||||
\(373\) | −2.83985 | − | 2.38292i | −0.147042 | − | 0.123383i | 0.566299 | − | 0.824200i | \(-0.308375\pi\) |
−0.713341 | + | 0.700817i | \(0.752819\pi\) | |||||||
\(374\) | −28.0369 | − | 23.5257i | −1.44975 | − | 1.21649i | ||||
\(375\) | −12.6558 | + | 10.0291i | −0.653542 | + | 0.517901i | ||||
\(376\) | 1.94574 | − | 5.34587i | 0.100344 | − | 0.275692i | ||||
\(377\) | −11.1371 | −0.573592 | ||||||||
\(378\) | 33.8232 | + | 9.48402i | 1.73968 | + | 0.487805i | ||||
\(379\) | 33.6065 | 1.72625 | 0.863125 | − | 0.504990i | \(-0.168504\pi\) | ||||
0.863125 | + | 0.504990i | \(0.168504\pi\) | |||||||
\(380\) | 8.99642 | − | 24.7175i | 0.461507 | − | 1.26798i | ||||
\(381\) | 4.63968 | + | 31.4383i | 0.237698 | + | 1.61063i | ||||
\(382\) | −40.3598 | − | 33.8659i | −2.06499 | − | 1.73273i | ||||
\(383\) | −20.7078 | − | 17.3759i | −1.05812 | − | 0.887869i | −0.0641967 | − | 0.997937i | \(-0.520449\pi\) |
−0.993924 | + | 0.110069i | \(0.964893\pi\) | |||||||
\(384\) | −5.66818 | − | 17.0440i | −0.289253 | − | 0.869772i | ||||
\(385\) | −4.05506 | + | 10.6476i | −0.206665 | + | 0.542653i | ||||
\(386\) | −17.7728 | + | 10.2611i | −0.904610 | + | 0.522277i | ||||
\(387\) | 13.0425 | + | 25.8305i | 0.662986 | + | 1.31304i | ||||
\(388\) | 40.5901 | − | 23.4347i | 2.06065 | − | 1.18972i | ||||
\(389\) | 24.1340 | + | 28.7618i | 1.22364 | + | 1.45828i | 0.846724 | + | 0.532032i | \(0.178572\pi\) |
0.376917 | + | 0.926247i | \(0.376984\pi\) | |||||||
\(390\) | −11.0627 | + | 17.9788i | −0.560183 | + | 0.910392i | ||||
\(391\) | 13.5926 | − | 16.1990i | 0.687405 | − | 0.819218i | ||||
\(392\) | −44.2920 | − | 9.17077i | −2.23708 | − | 0.463194i | ||||
\(393\) | 21.4788 | + | 0.601774i | 1.08346 | + | 0.0303555i | ||||
\(394\) | −9.72312 | − | 55.1426i | −0.489844 | − | 2.77804i | ||||
\(395\) | 2.83703 | + | 4.91388i | 0.142746 | + | 0.247244i | ||||
\(396\) | −38.2575 | + | 40.7263i | −1.92251 | + | 2.04657i | ||||
\(397\) | −27.2081 | − | 15.7086i | −1.36554 | − | 0.788392i | −0.375181 | − | 0.926951i | \(-0.622420\pi\) |
−0.990354 | + | 0.138559i | \(0.955753\pi\) | |||||||
\(398\) | 7.62755 | + | 43.2580i | 0.382334 | + | 2.16833i | ||||
\(399\) | 7.66305 | + | 24.2359i | 0.383632 | + | 1.21331i | ||||
\(400\) | 27.3382 | − | 9.95028i | 1.36691 | − | 0.497514i | ||||
\(401\) | −8.37342 | − | 23.0058i | −0.418148 | − | 1.14885i | −0.952752 | − | 0.303750i | \(-0.901761\pi\) |
0.534603 | − | 0.845103i | \(-0.320461\pi\) | |||||||
\(402\) | −18.4017 | + | 46.4658i | −0.917792 | + | 2.31750i | ||||
\(403\) | 0.838510 | + | 4.75543i | 0.0417692 | + | 0.236885i | ||||
\(404\) | 24.8548 | + | 43.0497i | 1.23657 | + | 2.14180i | ||||
\(405\) | −5.59489 | + | 7.58335i | −0.278012 | + | 0.376820i | ||||
\(406\) | 16.5264 | + | 0.244895i | 0.820192 | + | 0.0121539i | ||||
\(407\) | −8.68240 | − | 10.3473i | −0.430371 | − | 0.512896i | ||||
\(408\) | 24.2094 | + | 30.5499i | 1.19854 | + | 1.51245i | ||||
\(409\) | 8.91121 | − | 10.6200i | 0.440631 | − | 0.525124i | −0.499327 | − | 0.866414i | \(-0.666419\pi\) |
0.939958 | + | 0.341290i | \(0.110864\pi\) | |||||||
\(410\) | 0.567165 | + | 0.100007i | 0.0280103 | + | 0.00493897i | ||||
\(411\) | 5.45717 | + | 1.12068i | 0.269182 | + | 0.0552789i | ||||
\(412\) | −49.7967 | + | 8.78051i | −2.45331 | + | 0.432585i | ||||
\(413\) | 14.4750 | − | 24.2350i | 0.712269 | − | 1.19252i | ||||
\(414\) | −33.9220 | − | 31.8657i | −1.66718 | − | 1.56611i | ||||
\(415\) | −10.7609 | −0.528232 | ||||||||
\(416\) | 21.3556 | − | 17.9195i | 1.04705 | − | 0.878576i | ||||
\(417\) | −10.5010 | − | 6.46148i | −0.514236 | − | 0.316420i | ||||
\(418\) | −57.4033 | − | 10.1217i | −2.80769 | − | 0.495071i | ||||
\(419\) | 17.2126 | + | 14.4431i | 0.840893 | + | 0.705593i | 0.957764 | − | 0.287554i | \(-0.0928422\pi\) |
−0.116872 | + | 0.993147i | \(0.537287\pi\) | |||||||
\(420\) | 11.6615 | − | 18.3374i | 0.569021 | − | 0.894775i | ||||
\(421\) | 9.17695 | + | 3.34014i | 0.447257 | + | 0.162788i | 0.555822 | − | 0.831301i | \(-0.312403\pi\) |
−0.108565 | + | 0.994089i | \(0.534626\pi\) | |||||||
\(422\) | 40.1396i | 1.95397i | ||||||||
\(423\) | −2.63712 | − | 0.147885i | −0.128221 | − | 0.00719043i | ||||
\(424\) | −4.13717 | −0.200919 | ||||||||
\(425\) | 10.4148 | − | 8.73902i | 0.505190 | − | 0.423905i | ||||
\(426\) | −45.9868 | + | 15.2935i | −2.22807 | + | 0.740971i | ||||
\(427\) | −1.76346 | − | 5.07794i | −0.0853398 | − | 0.245739i | ||||
\(428\) | 5.88657 | + | 1.03796i | 0.284538 | + | 0.0501717i | ||||
\(429\) | 30.1693 | + | 11.9478i | 1.45659 | + | 0.576846i | ||||
\(430\) | 25.4146 | − | 4.48128i | 1.22560 | − | 0.216107i | ||||
\(431\) | −14.5924 | − | 8.42491i | −0.702890 | − | 0.405814i | 0.105533 | − | 0.994416i | \(-0.466345\pi\) |
−0.808423 | + | 0.588602i | \(0.799679\pi\) | |||||||
\(432\) | 31.6504 | − | 22.3149i | 1.52278 | − | 1.07362i | ||||
\(433\) | 18.8726i | 0.906959i | 0.891267 | + | 0.453480i | \(0.149817\pi\) | ||||
−0.891267 | + | 0.453480i | \(0.850183\pi\) | |||||||
\(434\) | −1.13970 | − | 7.07501i | −0.0547072 | − | 0.339612i | ||||
\(435\) | −1.63266 | + | 4.12260i | −0.0782800 | + | 0.197664i | ||||
\(436\) | 58.6057 | − | 21.3307i | 2.80670 | − | 1.02156i | ||||
\(437\) | 5.84808 | − | 33.1661i | 0.279752 | − | 1.58655i | ||||
\(438\) | 38.0362 | + | 33.7759i | 1.81744 | + | 1.61387i | ||||
\(439\) | 10.1083 | + | 12.0465i | 0.482441 | + | 0.574950i | 0.951278 | − | 0.308334i | \(-0.0997715\pi\) |
−0.468838 | + | 0.883284i | \(0.655327\pi\) | |||||||
\(440\) | 13.9132 | + | 24.0983i | 0.663284 | + | 1.14884i | ||||
\(441\) | 1.86400 | + | 20.9171i | 0.0887617 | + | 0.996053i | ||||
\(442\) | 20.2692 | − | 35.1072i | 0.964106 | − | 1.66988i | ||||
\(443\) | −14.4942 | + | 2.55572i | −0.688640 | + | 0.121426i | −0.507009 | − | 0.861941i | \(-0.669249\pi\) |
−0.181631 | + | 0.983367i | \(0.558138\pi\) | |||||||
\(444\) | 12.2516 | + | 22.6634i | 0.581434 | + | 1.07556i | ||||
\(445\) | 4.30036 | − | 1.56520i | 0.203857 | − | 0.0741977i | ||||
\(446\) | 0.597830 | − | 3.39046i | 0.0283081 | − | 0.160543i | ||||
\(447\) | 4.11266 | + | 2.53061i | 0.194522 | + | 0.119694i | ||||
\(448\) | −1.50118 | + | 1.22220i | −0.0709243 | + | 0.0577436i | ||||
\(449\) | 3.11418 | + | 1.79797i | 0.146967 | + | 0.0848516i | 0.571680 | − | 0.820476i | \(-0.306292\pi\) |
−0.424713 | + | 0.905328i | \(0.639625\pi\) | |||||||
\(450\) | −17.9204 | − | 23.9632i | −0.844778 | − | 1.12964i | ||||
\(451\) | − | 0.885272i | − | 0.0416858i | ||||||
\(452\) | −9.50370 | + | 26.1112i | −0.447016 | + | 1.22817i | ||||
\(453\) | 4.47221 | − | 1.48728i | 0.210123 | − | 0.0698787i | ||||
\(454\) | −17.3319 | − | 47.6190i | −0.813426 | − | 2.23487i | ||||
\(455\) | −12.3942 | − | 2.37531i | −0.581051 | − | 0.111356i | ||||
\(456\) | 57.7176 | + | 22.8577i | 2.70287 | + | 1.07041i | ||||
\(457\) | −0.424178 | − | 0.154388i | −0.0198422 | − | 0.00722197i | 0.332080 | − | 0.943251i | \(-0.392250\pi\) |
−0.351922 | + | 0.936029i | \(0.614472\pi\) | |||||||
\(458\) | 1.06111 | − | 1.83789i | 0.0495823 | − | 0.0858790i | ||||
\(459\) | 10.3321 | − | 14.8580i | 0.482263 | − | 0.693510i | ||||
\(460\) | −24.9350 | + | 14.3962i | −1.16260 | + | 0.671227i | ||||
\(461\) | 18.3882 | − | 15.4295i | 0.856422 | − | 0.718623i | −0.104772 | − | 0.994496i | \(-0.533411\pi\) |
0.961194 | + | 0.275873i | \(0.0889669\pi\) | |||||||
\(462\) | −44.5055 | − | 18.3928i | −2.07058 | − | 0.855709i | ||||
\(463\) | −4.16621 | + | 23.6278i | −0.193620 | + | 1.09808i | 0.720750 | + | 0.693195i | \(0.243798\pi\) |
−0.914370 | + | 0.404880i | \(0.867313\pi\) | |||||||
\(464\) | 11.7124 | − | 13.9583i | 0.543735 | − | 0.647998i | ||||
\(465\) | 1.88322 | + | 0.386736i | 0.0873324 | + | 0.0179345i | ||||
\(466\) | −9.50774 | − | 3.46053i | −0.440437 | − | 0.160306i | ||||
\(467\) | −19.8132 | + | 34.3175i | −0.916847 | + | 1.58803i | −0.112673 | + | 0.993632i | \(0.535941\pi\) |
−0.804174 | + | 0.594394i | \(0.797392\pi\) | |||||||
\(468\) | −51.7821 | − | 33.8978i | −2.39363 | − | 1.56693i | ||||
\(469\) | −29.8739 | − | 0.442683i | −1.37945 | − | 0.0204412i | ||||
\(470\) | −0.805655 | + | 2.21352i | −0.0371621 | + | 0.102102i | ||||
\(471\) | −22.7504 | − | 13.9988i | −1.04828 | − | 0.645029i | ||||
\(472\) | −23.5796 | − | 64.7843i | −1.08534 | − | 2.98194i | ||||
\(473\) | −13.5676 | − | 37.2766i | −0.623838 | − | 1.71398i | ||||
\(474\) | −21.0967 | + | 11.4046i | −0.969002 | + | 0.523831i | ||||
\(475\) | 7.40553 | − | 20.3465i | 0.339789 | − | 0.933563i | ||||
\(476\) | −21.3992 | + | 35.8279i | −0.980831 | + | 1.64217i | ||||
\(477\) | 0.554861 | + | 1.83891i | 0.0254053 | + | 0.0841980i | ||||
\(478\) | 29.8557 | − | 51.7117i | 1.36557 | − | 2.36524i | ||||
\(479\) | −11.2982 | − | 4.11220i | −0.516227 | − | 0.187891i | 0.0707512 | − | 0.997494i | \(-0.477460\pi\) |
−0.586978 | + | 0.809603i | \(0.699683\pi\) | |||||||
\(480\) | −3.50256 | − | 10.5321i | −0.159869 | − | 0.480721i | ||||
\(481\) | 9.61678 | − | 11.4608i | 0.438487 | − | 0.522569i | ||||
\(482\) | 1.81982 | − | 10.3207i | 0.0828907 | − | 0.470097i | ||||
\(483\) | 10.6269 | − | 25.7141i | 0.483539 | − | 1.17003i | ||||
\(484\) | 20.5181 | − | 17.2167i | 0.932639 | − | 0.782577i | ||||
\(485\) | −9.38469 | + | 5.41825i | −0.426137 | + | 0.246030i | ||||
\(486\) | −31.3769 | − | 24.5357i | −1.42329 | − | 1.11296i | ||||
\(487\) | 19.9583 | − | 34.5688i | 0.904397 | − | 1.56646i | 0.0826731 | − | 0.996577i | \(-0.473654\pi\) |
0.821724 | − | 0.569885i | \(-0.193012\pi\) | |||||||
\(488\) | −12.3365 | − | 4.49012i | −0.558448 | − | 0.203258i | ||||
\(489\) | 0.0245541 | + | 0.166378i | 0.00111038 | + | 0.00752386i | ||||
\(490\) | 18.3396 | + | 3.79726i | 0.828498 | + | 0.171543i | ||||
\(491\) | 6.49001 | + | 17.8311i | 0.292890 | + | 0.804708i | 0.995641 | + | 0.0932723i | \(0.0297327\pi\) |
−0.702751 | + | 0.711436i | \(0.748045\pi\) | |||||||
\(492\) | −0.339660 | + | 1.65398i | −0.0153130 | + | 0.0745673i | ||||
\(493\) | 2.91234 | − | 8.00159i | 0.131165 | − | 0.360374i | ||||
\(494\) | − | 64.5617i | − | 2.90477i | ||||||
\(495\) | 8.84538 | − | 9.41618i | 0.397570 | − | 0.423226i | ||||
\(496\) | −6.84185 | − | 3.95014i | −0.307208 | − | 0.177367i | ||||
\(497\) | −18.2921 | − | 22.4675i | −0.820512 | − | 1.00780i | ||||
\(498\) | 1.27378 | − | 45.4642i | 0.0570794 | − | 2.03730i | ||||
\(499\) | −2.67810 | + | 15.1882i | −0.119888 | + | 0.679919i | 0.864325 | + | 0.502933i | \(0.167746\pi\) |
−0.984213 | + | 0.176986i | \(0.943365\pi\) | |||||||
\(500\) | −39.6759 | + | 14.4409i | −1.77436 | + | 0.645815i | ||||
\(501\) | −13.0449 | − | 0.365481i | −0.582803 | − | 0.0163285i | ||||
\(502\) | −12.9562 | + | 2.28453i | −0.578263 | + | 0.101963i | ||||
\(503\) | 1.41541 | − | 2.45156i | 0.0631098 | − | 0.109309i | −0.832744 | − | 0.553658i | \(-0.813231\pi\) |
0.895854 | + | 0.444349i | \(0.146565\pi\) | |||||||
\(504\) | 42.4900 | + | 28.7232i | 1.89265 | + | 1.27943i | ||||
\(505\) | −5.74658 | − | 9.95337i | −0.255719 | − | 0.442919i | ||||
\(506\) | 41.0122 | + | 48.8765i | 1.82322 | + | 2.17282i | ||||
\(507\) | −2.70047 | + | 13.1500i | −0.119932 | + | 0.584013i | ||||
\(508\) | −14.4290 | + | 81.8308i | −0.640182 | + | 3.63065i | ||||
\(509\) | 13.6310 | − | 4.96127i | 0.604183 | − | 0.219904i | −0.0217733 | − | 0.999763i | \(-0.506931\pi\) |
0.625956 | + | 0.779858i | \(0.284709\pi\) | |||||||
\(510\) | −10.0242 | − | 12.6495i | −0.443877 | − | 0.560131i | ||||
\(511\) | −10.8231 | + | 28.4188i | −0.478785 | + | 1.25717i | ||||
\(512\) | − | 50.7044i | − | 2.24084i | ||||||
\(513\) | 2.41904 | − | 28.7202i | 0.106803 | − | 1.26803i | ||||
\(514\) | 52.8077 | + | 30.4885i | 2.32925 | + | 1.34479i | ||||
\(515\) | 11.5133 | − | 2.03011i | 0.507338 | − | 0.0894574i | ||||
\(516\) | 11.0465 | + | 74.8506i | 0.486296 | + | 3.29512i | ||||
\(517\) | 3.56588 | + | 0.628762i | 0.156827 | + | 0.0276529i | ||||
\(518\) | −14.5223 | + | 16.7953i | −0.638075 | + | 0.737941i | ||||
\(519\) | 4.93438 | − | 24.0281i | 0.216595 | − | 1.05472i | ||||
\(520\) | −23.6102 | + | 19.8113i | −1.03538 | + | 0.868784i | ||||
\(521\) | −13.0627 | −0.572288 | −0.286144 | − | 0.958187i | \(-0.592374\pi\) | ||||
−0.286144 | + | 0.958187i | \(0.592374\pi\) | |||||||
\(522\) | −17.2245 | − | 7.38588i | −0.753896 | − | 0.323271i | ||||
\(523\) | 3.97179i | 0.173674i | 0.996223 | + | 0.0868370i | \(0.0276759\pi\) | ||||
−0.996223 | + | 0.0868370i | \(0.972324\pi\) | |||||||
\(524\) | 52.7951 | + | 19.2158i | 2.30636 | + | 0.839448i | ||||
\(525\) | 9.59929 | − | 15.0947i | 0.418948 | − | 0.658787i | ||||
\(526\) | 33.3998 | + | 28.0258i | 1.45630 | + | 1.22198i | ||||
\(527\) | −3.63585 | − | 0.641099i | −0.158380 | − | 0.0279267i | ||||
\(528\) | −46.7020 | + | 25.2466i | −2.03244 | + | 1.09872i | ||||
\(529\) | −10.6205 | + | 8.91168i | −0.461762 | + | 0.387464i | ||||
\(530\) | 1.71304 | 0.0744097 | ||||||||
\(531\) | −25.6333 | + | 19.1694i | −1.11239 | + | 0.831881i | ||||
\(532\) | −0.984763 | + | 66.4555i | −0.0426949 | + | 2.88121i | ||||
\(533\) | 0.965647 | − | 0.170270i | 0.0418268 | − | 0.00737519i | ||||
\(534\) | 6.10385 | + | 18.3540i | 0.264139 | + | 0.794257i | ||||
\(535\) | −1.36101 | − | 0.239983i | −0.0588417 | − | 0.0103754i | ||||
\(536\) | −46.9030 | + | 55.8968i | −2.02590 | + | 2.41437i | ||||
\(537\) | 25.4109 | − | 3.75015i | 1.09656 | − | 0.161831i | ||||
\(538\) | −2.07794 | − | 2.47639i | −0.0895863 | − | 0.106765i | ||||
\(539\) | 0.853019 | − | 28.7762i | 0.0367421 | − | 1.23948i | ||||
\(540\) | −20.1389 | + | 14.1988i | −0.866639 | + | 0.611018i | ||||
\(541\) | −2.33907 | − | 4.05139i | −0.100564 | − | 0.174183i | 0.811353 | − | 0.584557i | \(-0.198732\pi\) |
−0.911917 | + | 0.410374i | \(0.865398\pi\) | |||||||
\(542\) | −0.226032 | − | 1.28189i | −0.00970890 | − | 0.0550619i | ||||
\(543\) | 15.8128 | − | 2.33367i | 0.678594 | − | 0.100147i | ||||
\(544\) | 7.28999 | + | 20.0291i | 0.312556 | + | 0.858739i | ||||
\(545\) | −13.5500 | + | 4.93180i | −0.580419 | + | 0.211255i | ||||
\(546\) | 11.5027 | − | 52.0838i | 0.492268 | − | 2.22898i | ||||
\(547\) | 5.54303 | + | 31.4361i | 0.237003 | + | 1.34411i | 0.838354 | + | 0.545126i | \(0.183518\pi\) |
−0.601352 | + | 0.798985i | \(0.705371\pi\) | |||||||
\(548\) | 12.6152 | + | 7.28341i | 0.538897 | + | 0.311132i | ||||
\(549\) | −0.341271 | + | 6.08560i | −0.0145651 | + | 0.259727i | ||||
\(550\) | 20.5105 | + | 35.5253i | 0.874572 | + | 1.51480i | ||||
\(551\) | −2.35489 | − | 13.3552i | −0.100322 | − | 0.568952i | ||||
\(552\) | −32.3148 | − | 59.7770i | −1.37541 | − | 2.54428i | ||||
\(553\) | −10.8449 | − | 9.37728i | −0.461174 | − | 0.398763i | ||||
\(554\) | −11.6542 | + | 13.8890i | −0.495141 | + | 0.590086i | ||||
\(555\) | −2.83264 | − | 5.23992i | −0.120239 | − | 0.222422i | ||||
\(556\) | −20.7228 | − | 24.6965i | −0.878842 | − | 1.04736i | ||||
\(557\) | −5.76159 | + | 3.32646i | −0.244127 | + | 0.140947i | −0.617072 | − | 0.786907i | \(-0.711681\pi\) |
0.372945 | + | 0.927853i | \(0.378348\pi\) | |||||||
\(558\) | −1.85686 | + | 7.91073i | −0.0786070 | + | 0.334888i | ||||
\(559\) | 38.0515 | − | 21.9690i | 1.60940 | − | 0.929190i | ||||
\(560\) | 16.0115 | − | 13.0358i | 0.676607 | − | 0.550865i | ||||
\(561\) | −16.4732 | + | 18.5511i | −0.695501 | + | 0.783228i | ||||
\(562\) | −23.0470 | − | 19.3387i | −0.972178 | − | 0.815754i | ||||
\(563\) | 22.8963 | + | 19.2123i | 0.964963 | + | 0.809700i | 0.981753 | − | 0.190159i | \(-0.0609002\pi\) |
−0.0167900 | + | 0.999859i | \(0.505345\pi\) | |||||||
\(564\) | −6.42101 | − | 2.54289i | −0.270373 | − | 0.107075i | ||||
\(565\) | 2.19732 | − | 6.03708i | 0.0924418 | − | 0.253982i | ||||
\(566\) | 19.7473 | 0.830039 | ||||||||
\(567\) | 7.06846 | − | 22.7384i | 0.296847 | − | 0.954925i | ||||
\(568\) | −70.7579 | −2.96894 | ||||||||
\(569\) | −3.17529 | + | 8.72404i | −0.133115 | + | 0.365731i | −0.988286 | − | 0.152616i | \(-0.951230\pi\) |
0.855170 | + | 0.518347i | \(0.173452\pi\) | |||||||
\(570\) | −23.8986 | − | 9.46447i | −1.00100 | − | 0.396423i | ||||
\(571\) | 13.5798 | + | 11.3948i | 0.568296 | + | 0.476857i | 0.881080 | − | 0.472968i | \(-0.156817\pi\) |
−0.312784 | + | 0.949824i | \(0.601262\pi\) | |||||||
\(572\) | 64.9955 | + | 54.5377i | 2.71760 | + | 2.28033i | ||||
\(573\) | −23.7137 | + | 26.7048i | −0.990653 | + | 1.11561i | ||||
\(574\) | −1.43667 | + | 0.231429i | −0.0599653 | + | 0.00965968i | ||||
\(575\) | −20.5256 | + | 11.8505i | −0.855976 | + | 0.494198i | ||||
\(576\) | 2.10142 | − | 0.634067i | 0.0875590 | − | 0.0264195i | ||||
\(577\) | −30.7652 | + | 17.7623i | −1.28077 | + | 0.739454i | −0.976990 | − | 0.213287i | \(-0.931583\pi\) |
−0.303783 | + | 0.952741i | \(0.598250\pi\) | |||||||
\(578\) | −7.99847 | − | 9.53221i | −0.332693 | − | 0.396488i | ||||
\(579\) | 6.61550 | + | 12.2376i | 0.274931 | + | 0.508577i | ||||
\(580\) | −7.45252 | + | 8.88156i | −0.309449 | + | 0.368787i | ||||
\(581\) | 25.6853 | − | 8.91995i | 1.06560 | − | 0.370062i | ||||
\(582\) | −21.7809 | − | 40.2911i | −0.902848 | − | 1.67012i | ||||
\(583\) | −0.457253 | − | 2.59321i | −0.0189375 | − | 0.107400i | ||||
\(584\) | 37.1346 | + | 64.3190i | 1.53664 | + | 2.66154i | ||||
\(585\) | 11.9724 | + | 7.83739i | 0.494996 | + | 0.324036i | ||||
\(586\) | 22.2085 | + | 12.8221i | 0.917423 | + | 0.529675i | ||||
\(587\) | −4.89817 | − | 27.7789i | −0.202169 | − | 1.14656i | −0.901833 | − | 0.432085i | \(-0.857778\pi\) |
0.699664 | − | 0.714472i | \(-0.253333\pi\) | |||||||
\(588\) | −12.6345 | + | 53.4361i | −0.521038 | + | 2.20367i | ||||
\(589\) | −5.52522 | + | 2.01102i | −0.227663 | + | 0.0828625i | ||||
\(590\) | 9.76338 | + | 26.8247i | 0.401952 | + | 1.10435i | ||||
\(591\) | −37.5491 | + | 5.54152i | −1.54456 | + | 0.227948i | ||||
\(592\) | 4.25047 | + | 24.1056i | 0.174693 | + | 0.990736i | ||||
\(593\) | −13.6717 | − | 23.6801i | −0.561429 | − | 0.972424i | −0.997372 | − | 0.0724497i | \(-0.976918\pi\) |
0.435943 | − | 0.899974i | \(-0.356415\pi\) | |||||||
\(594\) | 38.7358 | + | 38.4858i | 1.58935 | + | 1.57909i | ||||
\(595\) | 4.94764 | − | 8.28363i | 0.202833 | − | 0.339596i | ||||
\(596\) | 8.11597 | + | 9.67224i | 0.332443 | + | 0.396190i | ||||
\(597\) | 29.4563 | − | 4.34718i | 1.20557 | − | 0.177918i | ||||
\(598\) | −45.4259 | + | 54.1364i | −1.85760 | + | 2.21380i | ||||
\(599\) | −24.7808 | − | 4.36953i | −1.01252 | − | 0.178534i | −0.357312 | − | 0.933985i | \(-0.616307\pi\) |
−0.655205 | + | 0.755451i | \(0.727418\pi\) | |||||||
\(600\) | −13.7867 | − | 41.4560i | −0.562839 | − | 1.69244i | ||||
\(601\) | 13.1380 | − | 2.31659i | 0.535912 | − | 0.0944957i | 0.100859 | − | 0.994901i | \(-0.467841\pi\) |
0.435053 | + | 0.900405i | \(0.356730\pi\) | |||||||
\(602\) | −56.9476 | + | 31.7631i | −2.32101 | + | 1.29457i | ||||
\(603\) | 31.1358 | + | 13.3510i | 1.26795 | + | 0.543697i | ||||
\(604\) | 12.3233 | 0.501429 | ||||||||
\(605\) | −4.74391 | + | 3.98061i | −0.192867 | + | 0.161835i | ||||
\(606\) | 42.7326 | − | 23.1008i | 1.73589 | − | 0.938404i | ||||
\(607\) | −23.9188 | − | 4.21753i | −0.970835 | − | 0.171184i | −0.334329 | − | 0.942456i | \(-0.608510\pi\) |
−0.636506 | + | 0.771272i | \(0.719621\pi\) | |||||||
\(608\) | 26.0039 | + | 21.8199i | 1.05460 | + | 0.884912i | ||||
\(609\) | 0.479683 | − | 11.1936i | 0.0194377 | − | 0.453588i | ||||
\(610\) | 5.10807 | + | 1.85919i | 0.206820 | + | 0.0752762i | ||||
\(611\) | 4.01057i | 0.162250i | ||||||||
\(612\) | 37.8951 | − | 28.3392i | 1.53182 | − | 1.14554i | ||||
\(613\) | 22.4413 | 0.906395 | 0.453197 | − | 0.891410i | \(-0.350283\pi\) | ||||
0.453197 | + | 0.891410i | \(0.350283\pi\) | |||||||
\(614\) | 45.6001 | − | 38.2630i | 1.84027 | − | 1.54417i | ||||
\(615\) | 0.0785315 | − | 0.382411i | 0.00316669 | − | 0.0154203i | ||||
\(616\) | −53.1850 | − | 45.9874i | −2.14288 | − | 1.85289i | ||||
\(617\) | −3.16928 | − | 0.558829i | −0.127590 | − | 0.0224976i | 0.109488 | − | 0.993988i | \(-0.465079\pi\) |
−0.237079 | + | 0.971490i | \(0.576190\pi\) | |||||||
\(618\) | 7.21425 | + | 48.8834i | 0.290200 | + | 1.96638i | ||||
\(619\) | 4.74774 | − | 0.837155i | 0.190828 | − | 0.0336481i | −0.0774173 | − | 0.996999i | \(-0.524667\pi\) |
0.268245 | + | 0.963351i | \(0.413556\pi\) | |||||||
\(620\) | 4.35341 | + | 2.51344i | 0.174837 | + | 0.100942i | ||||
\(621\) | −22.2361 | + | 22.3805i | −0.892304 | + | 0.898099i | ||||
\(622\) | − | 24.4391i | − | 0.979920i | ||||||
\(623\) | −8.96711 | + | 7.30065i | −0.359260 | + | 0.292494i | ||||
\(624\) | −36.5212 | − | 46.0863i | −1.46202 | − | 1.84493i | ||||
\(625\) | −9.16750 | + | 3.33670i | −0.366700 | + | 0.133468i | ||||
\(626\) | 2.96647 | − | 16.8237i | 0.118564 | − | 0.672410i | ||||
\(627\) | −7.94823 | + | 38.7041i | −0.317422 | + | 1.54569i | ||||
\(628\) | −44.8958 | − | 53.5047i | −1.79154 | − | 2.13507i | ||||
\(629\) | 5.71938 | + | 9.90625i | 0.228047 | + | 0.394988i | ||||
\(630\) | −17.5935 | − | 11.8932i | −0.700940 | − | 0.473835i | ||||
\(631\) | 12.8825 | − | 22.3131i | 0.512843 | − | 0.888271i | −0.487046 | − | 0.873377i | \(-0.661925\pi\) |
0.999889 | − | 0.0148943i | \(-0.00474119\pi\) | |||||||
\(632\) | −34.4825 | + | 6.08020i | −1.37164 | + | 0.241857i | ||||
\(633\) | 27.1985 | + | 0.762025i | 1.08104 | + | 0.0302878i | ||||
\(634\) | −5.98451 | + | 2.17819i | −0.237675 | + | 0.0865068i | ||||
\(635\) | 3.33607 | − | 18.9198i | 0.132388 | − | 0.750810i | ||||
\(636\) | −0.140658 | + | 5.02041i | −0.00557744 | + | 0.199072i | ||||
\(637\) | 31.5528 | − | 4.60422i | 1.25017 | − | 0.182426i | ||||
\(638\) | 22.2502 | + | 12.8461i | 0.880892 | + | 0.508584i | ||||
\(639\) | 9.48978 | + | 31.4509i | 0.375410 | + | 1.24418i | ||||
\(640\) | 10.8587i | 0.429227i | ||||||||
\(641\) | 5.98065 | − | 16.4317i | 0.236222 | − | 0.649014i | −0.763772 | − | 0.645486i | \(-0.776655\pi\) |
0.999994 | − | 0.00352769i | \(-0.00112290\pi\) | |||||||
\(642\) | 1.17502 | − | 5.72179i | 0.0463743 | − | 0.225821i | ||||
\(643\) | −1.98614 | − | 5.45689i | −0.0783259 | − | 0.215199i | 0.894349 | − | 0.447370i | \(-0.147639\pi\) |
−0.972675 | + | 0.232171i | \(0.925417\pi\) | |||||||
\(644\) | 47.5841 | − | 55.0315i | 1.87508 | − | 2.16855i | ||||
\(645\) | −2.55403 | − | 17.3060i | −0.100565 | − | 0.681421i | ||||
\(646\) | 46.3850 | + | 16.8828i | 1.82499 | + | 0.664243i | ||||
\(647\) | 19.8634 | − | 34.4044i | 0.780910 | − | 1.35258i | −0.150503 | − | 0.988610i | \(-0.548089\pi\) |
0.931412 | − | 0.363966i | \(-0.118577\pi\) | |||||||
\(648\) | −32.1659 | − | 48.4492i | −1.26360 | − | 1.90326i | ||||
\(649\) | 38.0012 | − | 21.9400i | 1.49168 | − | 0.861221i | ||||
\(650\) | −34.8057 | + | 29.2055i | −1.36519 | + | 1.14553i | ||||
\(651\) | −4.81565 | + | 0.637942i | −0.188740 | + | 0.0250029i | ||||
\(652\) | −0.0763610 | + | 0.433065i | −0.00299053 | + | 0.0169601i | ||||
\(653\) | −2.86765 | + | 3.41754i | −0.112220 | + | 0.133739i | −0.819230 | − | 0.573465i | \(-0.805599\pi\) |
0.707010 | + | 0.707203i | \(0.250043\pi\) | |||||||
\(654\) | −19.2326 | − | 57.8317i | −0.752055 | − | 2.26140i | ||||
\(655\) | −12.2066 | − | 4.44282i | −0.476950 | − | 0.173596i | ||||
\(656\) | −0.802125 | + | 1.38932i | −0.0313177 | + | 0.0542438i | ||||
\(657\) | 23.6086 | − | 25.1320i | 0.921058 | − | 0.980494i | ||||
\(658\) | 0.0881883 | − | 5.95128i | 0.00343794 | − | 0.232005i | ||||
\(659\) | 12.2037 | − | 33.5295i | 0.475390 | − | 1.30612i | −0.437978 | − | 0.898986i | \(-0.644305\pi\) |
0.913367 | − | 0.407136i | \(-0.133473\pi\) | |||||||
\(660\) | 29.7161 | − | 16.0642i | 1.15670 | − | 0.625298i | ||||
\(661\) | −8.52482 | − | 23.4218i | −0.331577 | − | 0.911001i | −0.987702 | − | 0.156348i | \(-0.950028\pi\) |
0.656125 | − | 0.754652i | \(-0.272194\pi\) | |||||||
\(662\) | 26.7870 | + | 73.5968i | 1.04111 | + | 2.86042i | ||||
\(663\) | −23.4038 | − | 14.4008i | −0.908927 | − | 0.559282i | ||||
\(664\) | 22.7120 | − | 62.4006i | 0.881395 | − | 2.42161i | ||||
\(665\) | 0.227683 | − | 15.3649i | 0.00882919 | − | 0.595827i | ||||
\(666\) | 22.4737 | − | 11.3475i | 0.870836 | − | 0.439706i | ||||
\(667\) | −7.42217 | + | 12.8556i | −0.287387 | + | 0.497770i | ||||
\(668\) | −32.0645 | − | 11.6705i | −1.24061 | − | 0.451547i | ||||
\(669\) | −2.28602 | − | 0.469454i | −0.0883826 | − | 0.0181501i | ||||
\(670\) | 19.4207 | − | 23.1447i | 0.750287 | − | 0.894157i | ||||
\(671\) | 1.45097 | − | 8.22888i | 0.0560142 | − | 0.317673i | ||||
\(672\) | 17.0905 | + | 22.2357i | 0.659282 | + | 0.857760i | ||||
\(673\) | −26.8068 | + | 22.4936i | −1.03333 | + | 0.867064i | −0.991243 | − | 0.132050i | \(-0.957844\pi\) |
−0.0420841 | + | 0.999114i | \(0.513400\pi\) | |||||||
\(674\) | −27.5221 | + | 15.8899i | −1.06011 | + | 0.612056i | ||||
\(675\) | −16.5776 | + | 11.6879i | −0.638072 | + | 0.449868i | ||||
\(676\) | −17.5507 | + | 30.3987i | −0.675026 | + | 1.16918i | ||||
\(677\) | −5.78121 | − | 2.10419i | −0.222190 | − | 0.0808706i | 0.228526 | − | 0.973538i | \(-0.426609\pi\) |
−0.450717 | + | 0.892667i | \(0.648831\pi\) | |||||||
\(678\) | 25.2462 | + | 9.99814i | 0.969574 | + | 0.383976i | ||||
\(679\) | 17.9091 | − | 20.7120i | 0.687286 | − | 0.794854i | ||||
\(680\) | −8.05962 | − | 22.1436i | −0.309072 | − | 0.849169i | ||||
\(681\) | −32.5955 | + | 10.8400i | −1.24906 | + | 0.415391i | ||||
\(682\) | 3.80994 | − | 10.4677i | 0.145890 | − | 0.400830i | ||||
\(683\) | 31.8592i | 1.21906i | 0.792764 | + | 0.609529i | \(0.208642\pi\) | ||||
−0.792764 | + | 0.609529i | \(0.791358\pi\) | |||||||
\(684\) | 29.6999 | − | 69.2626i | 1.13560 | − | 2.64832i | ||||
\(685\) | −2.91673 | − | 1.68397i | −0.111442 | − | 0.0643413i | ||||
\(686\) | −46.9225 | + | 6.13838i | −1.79151 | + | 0.234365i | ||||
\(687\) | −1.22521 | − | 0.753895i | −0.0467445 | − | 0.0287629i | ||||
\(688\) | −12.4829 | + | 70.7941i | −0.475906 | + | 2.69900i | ||||
\(689\) | 2.74070 | − | 0.997534i | 0.104412 | − | 0.0380030i | ||||
\(690\) | 13.3803 | + | 24.7513i | 0.509379 | + | 0.942267i | ||||
\(691\) | −42.6451 | + | 7.51949i | −1.62230 | + | 0.286055i | −0.909621 | − | 0.415438i | \(-0.863628\pi\) |
−0.712676 | + | 0.701493i | \(0.752517\pi\) | |||||||
\(692\) | 32.0691 | − | 55.5453i | 1.21908 | − | 2.11152i | ||||
\(693\) | −13.3078 | + | 29.8076i | −0.505521 | + | 1.13230i | ||||
\(694\) | −9.32333 | − | 16.1485i | −0.353909 | − | 0.612988i | ||||
\(695\) | 4.79124 | + | 5.70998i | 0.181742 | + | 0.216592i | ||||
\(696\) | −20.4604 | − | 18.1687i | −0.775548 | − | 0.688681i | ||||
\(697\) | −0.130183 | + | 0.738303i | −0.00493103 | + | 0.0279652i | ||||
\(698\) | 41.8883 | − | 15.2461i | 1.58550 | − | 0.577073i | ||||
\(699\) | −2.52535 | + | 6.37672i | −0.0955174 | + | 0.241190i | ||||
\(700\) | 36.2722 | − | 29.5313i | 1.37096 | − | 1.11618i | ||||
\(701\) | 3.02278i | 0.114169i | 0.998369 | + | 0.0570845i | \(0.0181804\pi\) | ||||
−0.998369 | + | 0.0570845i | \(0.981820\pi\) | |||||||
\(702\) | −34.5297 | + | 49.6548i | −1.30324 | + | 1.87410i | ||||
\(703\) | 15.7768 | + | 9.10874i | 0.595033 | + | 0.343543i | ||||
\(704\) | −2.96339 | + | 0.522525i | −0.111687 | + | 0.0196934i | ||||
\(705\) | 1.48458 | + | 0.587932i | 0.0559125 | + | 0.0221428i | ||||
\(706\) | 54.7412 | + | 9.65235i | 2.06021 | + | 0.363271i | ||||
\(707\) | 21.9671 | + | 18.9943i | 0.826158 | + | 0.714353i | ||||
\(708\) | −79.4168 | + | 26.4110i | −2.98467 | + | 0.992586i | ||||
\(709\) | −25.5968 | + | 21.4783i | −0.961309 | + | 0.806634i | −0.981166 | − | 0.193169i | \(-0.938123\pi\) |
0.0198565 | + | 0.999803i | \(0.493679\pi\) | |||||||
\(710\) | 29.2981 | 1.09954 | ||||||||
\(711\) | 7.32723 | + | 14.5116i | 0.274793 | + | 0.544226i | ||||
\(712\) | 28.2405i | 1.05836i | ||||||||
\(713\) | 6.04798 | + | 2.20128i | 0.226499 | + | 0.0824388i | ||||
\(714\) | 34.4122 | + | 21.8840i | 1.28784 | + | 0.818988i | ||||
\(715\) | −15.0274 | − | 12.6095i | −0.561992 | − | 0.471567i | ||||
\(716\) | 66.1420 | + | 11.6626i | 2.47184 | + | 0.435852i | ||||
\(717\) | −34.4729 | − | 21.2119i | −1.28741 | − | 0.792172i | ||||
\(718\) | 25.4283 | − | 21.3368i | 0.948974 | − | 0.796284i | ||||
\(719\) | −31.0029 | −1.15621 | −0.578106 | − | 0.815961i | \(-0.696208\pi\) | ||||
−0.578106 | + | 0.815961i | \(0.696208\pi\) | |||||||
\(720\) | −22.4135 | + | 6.76289i | −0.835300 | + | 0.252038i | ||||
\(721\) | −25.7984 | + | 14.3893i | −0.960783 | + | 0.535886i | ||||
\(722\) | 29.6093 | − | 5.22093i | 1.10195 | − | 0.194303i | ||||
\(723\) | −6.95876 | − | 1.42904i | −0.258799 | − | 0.0531466i | ||||
\(724\) | 41.1593 | + | 7.25749i | 1.52967 | + | 0.269722i | ||||
\(725\) | −6.13464 | + | 7.31098i | −0.227835 | + | 0.271523i | ||||
\(726\) | −16.2563 | − | 20.5139i | −0.603328 | − | 0.761343i | ||||
\(727\) | −1.31648 | − | 1.56892i | −0.0488256 | − | 0.0581881i | 0.741079 | − | 0.671418i | \(-0.234314\pi\) |
−0.789905 | + | 0.613230i | \(0.789870\pi\) | |||||||
\(728\) | 39.9333 | − | 66.8587i | 1.48003 | − | 2.47795i | ||||
\(729\) | −17.2210 | + | 20.7951i | −0.637815 | + | 0.770190i | ||||
\(730\) | −15.3760 | − | 26.6320i | −0.569091 | − | 0.985695i | ||||
\(731\) | 5.83348 | + | 33.0833i | 0.215759 | + | 1.22363i | ||||
\(732\) | −5.86814 | + | 14.8176i | −0.216893 | + | 0.547673i | ||||
\(733\) | −7.29080 | − | 20.0313i | −0.269292 | − | 0.739874i | −0.998457 | − | 0.0555354i | \(-0.982313\pi\) |
0.729165 | − | 0.684338i | \(-0.239909\pi\) | |||||||
\(734\) | 7.03590 | − | 2.56086i | 0.259700 | − | 0.0945230i | ||||
\(735\) | 2.92118 | − | 12.3548i | 0.107749 | − | 0.455713i | ||||
\(736\) | −6.45231 | − | 36.5929i | −0.237835 | − | 1.34883i | ||||
\(737\) | −40.2204 | − | 23.2213i | −1.48154 | − | 0.855366i | ||||
\(738\) | 1.60637 | + | 0.377057i | 0.0591312 | + | 0.0138797i | ||||
\(739\) | 9.85260 | + | 17.0652i | 0.362434 | + | 0.627754i | 0.988361 | − | 0.152128i | \(-0.0486126\pi\) |
−0.625927 | + | 0.779882i | \(0.715279\pi\) | |||||||
\(740\) | −2.70454 | − | 15.3382i | −0.0994210 | − | 0.563844i | ||||
\(741\) | −43.7469 | − | 1.22566i | −1.60708 | − | 0.0450259i | ||||
\(742\) | −4.08886 | + | 1.41998i | −0.150107 | + | 0.0521289i | ||||
\(743\) | 6.53488 | − | 7.78797i | 0.239741 | − | 0.285713i | −0.632735 | − | 0.774368i | \(-0.718068\pi\) |
0.872477 | + | 0.488655i | \(0.162512\pi\) | |||||||
\(744\) | −6.21734 | + | 10.1042i | −0.227939 | + | 0.370439i | ||||
\(745\) | −1.87646 | − | 2.23628i | −0.0687484 | − | 0.0819311i | ||||
\(746\) | −8.20333 | + | 4.73619i | −0.300345 | + | 0.173404i | ||||
\(747\) | −30.7822 | − | 1.72622i | −1.12626 | − | 0.0631590i | ||||
\(748\) | −56.1793 | + | 32.4351i | −2.05412 | + | 1.18595i | ||||
\(749\) | 3.44753 | − | 0.555355i | 0.125970 | − | 0.0202922i | ||||
\(750\) | 13.0205 | + | 39.1520i | 0.475440 | + | 1.42963i | ||||
\(751\) | 14.0359 | + | 11.7775i | 0.512177 | + | 0.429768i | 0.861895 | − | 0.507087i | \(-0.169278\pi\) |
−0.349717 | + | 0.936855i | \(0.613722\pi\) | |||||||
\(752\) | −5.02649 | − | 4.21772i | −0.183297 | − | 0.153805i | ||||
\(753\) | 1.30202 | + | 8.82245i | 0.0474484 | + | 0.321508i | ||||
\(754\) | −9.73294 | + | 26.7410i | −0.354453 | + | 0.973851i | ||||
\(755\) | −2.84923 | −0.103694 | ||||||||
\(756\) | 36.2999 | − | 50.5846i | 1.32022 | − | 1.83975i | ||||
\(757\) | −11.2021 | −0.407149 | −0.203574 | − | 0.979059i | \(-0.565256\pi\) | ||||
−0.203574 | + | 0.979059i | \(0.565256\pi\) | |||||||
\(758\) | 29.3693 | − | 80.6915i | 1.06674 | − | 2.93085i | ||||
\(759\) | 33.8972 | − | 26.8619i | 1.23039 | − | 0.975025i | ||||
\(760\) | −28.7492 | − | 24.1234i | −1.04284 | − | 0.875049i | ||||
\(761\) | −7.89879 | − | 6.62787i | −0.286331 | − | 0.240260i | 0.488297 | − | 0.872678i | \(-0.337618\pi\) |
−0.774628 | + | 0.632417i | \(0.782063\pi\) | |||||||
\(762\) | 79.5401 | + | 16.3343i | 2.88143 | + | 0.591728i | ||||
\(763\) | 28.2545 | − | 23.0036i | 1.02288 | − | 0.832787i | ||||
\(764\) | −80.8716 | + | 46.6912i | −2.92583 | + | 1.68923i | ||||
\(765\) | −8.76160 | + | 6.55220i | −0.316776 | + | 0.236895i | ||||
\(766\) | −59.8177 | + | 34.5358i | −2.16130 | + | 1.24783i | ||||
\(767\) | 31.2410 | + | 37.2315i | 1.12805 | + | 1.34435i | ||||
\(768\) | −48.4108 | − | 1.35633i | −1.74688 | − | 0.0489425i | ||||
\(769\) | −27.7396 | + | 33.0588i | −1.00032 | + | 1.19213i | −0.0189831 | + | 0.999820i | \(0.506043\pi\) |
−0.981334 | + | 0.192312i | \(0.938402\pi\) | |||||||
\(770\) | 22.0218 | + | 19.0416i | 0.793612 | + | 0.686212i | ||||
\(771\) | 21.6615 | − | 35.2035i | 0.780119 | − | 1.26782i | ||||
\(772\) | 6.31633 | + | 35.8217i | 0.227330 | + | 1.28925i | ||||
\(773\) | −5.50170 | − | 9.52923i | −0.197882 | − | 0.342743i | 0.749959 | − | 0.661484i | \(-0.230073\pi\) |
−0.947842 | + | 0.318742i | \(0.896740\pi\) | |||||||
\(774\) | 73.4189 | − | 8.74208i | 2.63899 | − | 0.314228i | ||||
\(775\) | 3.58357 | + | 2.06898i | 0.128726 | + | 0.0743199i | ||||
\(776\) | −11.6122 | − | 65.8559i | −0.416853 | − | 2.36409i | ||||
\(777\) | 11.1047 | + | 10.1592i | 0.398380 | + | 0.364458i | ||||
\(778\) | 90.1500 | − | 32.8119i | 3.23203 | − | 1.17636i | ||||
\(779\) | 0.408361 | + | 1.12196i | 0.0146311 | + | 0.0401985i | ||||
\(780\) | 23.2381 | + | 29.3243i | 0.832059 | + | 1.04998i | ||||
\(781\) | −7.82039 | − | 44.3516i | −0.279835 | − | 1.58703i | ||||
\(782\) | −27.0161 | − | 46.7932i | −0.966093 | − | 1.67332i | ||||
\(783\) | −5.33165 | + | 11.5311i | −0.190538 | + | 0.412086i | ||||
\(784\) | −27.4121 | + | 44.3875i | −0.979004 | + | 1.58527i | ||||
\(785\) | 10.3802 | + | 12.3706i | 0.370485 | + | 0.441527i | ||||
\(786\) | 20.2156 | − | 51.0461i | 0.721065 | − | 1.82075i | ||||
\(787\) | −12.1770 | + | 14.5120i | −0.434064 | + | 0.517298i | −0.938090 | − | 0.346391i | \(-0.887407\pi\) |
0.504026 | + | 0.863688i | \(0.331852\pi\) | |||||||
\(788\) | −97.7365 | − | 17.2336i | −3.48172 | − | 0.613921i | ||||
\(789\) | 19.6243 | − | 22.0996i | 0.698643 | − | 0.786766i | ||||
\(790\) | 14.2779 | − | 2.51758i | 0.507984 | − | 0.0895713i | ||||
\(791\) | −0.240522 | + | 16.2313i | −0.00855197 | + | 0.577119i | ||||
\(792\) | 35.9337 | + | 71.1666i | 1.27685 | + | 2.52879i | ||||
\(793\) | 9.25506 | 0.328657 | ||||||||
\(794\) | −61.4950 | + | 51.6005i | −2.18238 | + | 1.83123i | ||||
\(795\) | 0.0325210 | − | 1.16075i | 0.00115340 | − | 0.0411676i | ||||
\(796\) | 76.6719 | + | 13.5193i | 2.71756 | + | 0.479180i | ||||
\(797\) | −26.1233 | − | 21.9201i | −0.925336 | − | 0.776449i | 0.0496383 | − | 0.998767i | \(-0.484193\pi\) |
−0.974974 | + | 0.222318i | \(0.928638\pi\) | |||||||
\(798\) | 64.8890 | + | 2.78071i | 2.29705 | + | 0.0984361i | ||||
\(799\) | −2.88143 | − | 1.04876i | −0.101938 | − | 0.0371023i | ||||
\(800\) | − | 23.8895i | − | 0.844620i | ||||||
\(801\) | 12.5525 | − | 3.78751i | 0.443522 | − | 0.133825i | ||||
\(802\) | −62.5561 | −2.20893 | ||||||||
\(803\) | −36.2115 | + | 30.3850i | −1.27787 | + | 1.07226i | ||||
\(804\) | 66.2356 | + | 58.8167i | 2.33595 | + | 2.07431i | ||||
\(805\) | −11.0017 | + | 12.7236i | −0.387761 | + | 0.448450i | ||||
\(806\) | 12.1509 | + | 2.14253i | 0.427997 | + | 0.0754674i | ||||
\(807\) | −1.71745 | + | 1.36099i | −0.0604569 | + | 0.0479093i | ||||
\(808\) | 69.8466 | − | 12.3158i | 2.45719 | − | 0.433269i | ||||
\(809\) | 0.963498 | + | 0.556276i | 0.0338748 | + | 0.0195576i | 0.516842 | − | 0.856081i | \(-0.327108\pi\) |
−0.482967 | + | 0.875639i | \(0.660441\pi\) | |||||||
\(810\) | 13.3187 | + | 20.0609i | 0.467970 | + | 0.704869i | ||||
\(811\) | 29.7633i | 1.04513i | 0.852599 | + | 0.522566i | \(0.175025\pi\) | ||||
−0.852599 | + | 0.522566i | \(0.824975\pi\) | |||||||
\(812\) | 10.4263 | − | 27.3770i | 0.365892 | − | 0.960744i | ||||
\(813\) | −0.872897 | + | 0.128823i | −0.0306138 | + | 0.00451801i | ||||
\(814\) | −32.4322 | + | 11.8044i | −1.13675 | + | 0.413743i | ||||
\(815\) | 0.0176552 | − | 0.100127i | 0.000618433 | − | 0.00350731i | ||||
\(816\) | 42.6613 | − | 14.1875i | 1.49345 | − | 0.496663i | ||||
\(817\) | 34.3901 | + | 40.9846i | 1.20316 | + | 1.43387i | ||||
\(818\) | −17.7116 | − | 30.6774i | −0.619271 | − | 1.07261i | ||||
\(819\) | −35.0735 | − | 8.78295i | −1.22557 | − | 0.306901i | ||||
\(820\) | 0.510385 | − | 0.884013i | 0.0178234 | − | 0.0308711i | ||||
\(821\) | 33.9602 | − | 5.98811i | 1.18522 | − | 0.208986i | 0.453921 | − | 0.891042i | \(-0.350025\pi\) |
0.731300 | + | 0.682056i | \(0.238914\pi\) | |||||||
\(822\) | 7.45994 | − | 12.1237i | 0.260195 | − | 0.422861i | ||||
\(823\) | 33.0036 | − | 12.0123i | 1.15043 | − | 0.418723i | 0.304762 | − | 0.952429i | \(-0.401423\pi\) |
0.845670 | + | 0.533706i | \(0.179201\pi\) | |||||||
\(824\) | −12.5278 | + | 71.0485i | −0.436425 | + | 2.47509i | ||||
\(825\) | 24.4612 | − | 13.2235i | 0.851631 | − | 0.460382i | ||||
\(826\) | −45.5398 | − | 55.9348i | −1.58453 | − | 1.94622i | ||||
\(827\) | 12.1233 | + | 6.99937i | 0.421567 | + | 0.243392i | 0.695748 | − | 0.718286i | \(-0.255073\pi\) |
−0.274180 | + | 0.961678i | \(0.588407\pi\) | |||||||
\(828\) | −73.6374 | + | 37.1813i | −2.55908 | + | 1.29214i | ||||
\(829\) | − | 35.3511i | − | 1.22780i | −0.789386 | − | 0.613898i | \(-0.789601\pi\) | ||
0.789386 | − | 0.613898i | \(-0.210399\pi\) | |||||||
\(830\) | −9.40414 | + | 25.8377i | −0.326423 | + | 0.896839i | ||||
\(831\) | 9.18988 | + | 8.16055i | 0.318794 | + | 0.283086i | ||||
\(832\) | −1.13993 | − | 3.13194i | −0.0395200 | − | 0.108580i | ||||
\(833\) | −4.94305 | + | 23.8734i | −0.171267 | + | 0.827165i | ||||
\(834\) | −24.6915 | + | 19.5668i | −0.854995 | + | 0.677543i | ||||
\(835\) | 7.41353 | + | 2.69830i | 0.256556 | + | 0.0933786i | ||||
\(836\) | −51.6565 | + | 89.4717i | −1.78658 | + | 3.09444i | ||||
\(837\) | 5.32504 | + | 1.40838i | 0.184060 | + | 0.0486808i | ||||
\(838\) | 49.7213 | − | 28.7066i | 1.71759 | − | 0.991654i | ||||
\(839\) | −16.5214 | + | 13.8631i | −0.570381 | + | 0.478607i | −0.881772 | − | 0.471675i | \(-0.843650\pi\) |
0.311391 | + | 0.950282i | \(0.399205\pi\) | |||||||
\(840\) | −18.8948 | − | 24.5832i | −0.651934 | − | 0.848200i | ||||
\(841\) | 3.99782 | − | 22.6728i | 0.137856 | − | 0.781819i | ||||
\(842\) | 16.0398 | − | 19.1155i | 0.552767 | − | 0.658762i | ||||
\(843\) | −13.5414 | + | 15.2494i | −0.466390 | + | 0.525218i | ||||
\(844\) | 66.8542 | + | 24.3329i | 2.30122 | + | 0.837574i | ||||
\(845\) | 4.05783 | − | 7.02837i | 0.139594 | − | 0.241783i | ||||
\(846\) | −2.65971 | + | 6.20266i | −0.0914426 | + | 0.213252i | ||||
\(847\) | 8.02364 | − | 13.4337i | 0.275696 | − | 0.461586i | ||||
\(848\) | −1.63205 | + | 4.48401i | −0.0560447 | + | 0.153982i | ||||
\(849\) | 0.374889 | − | 13.3807i | 0.0128662 | − | 0.459224i | ||||
\(850\) | −11.8813 | − | 32.6437i | −0.407526 | − | 1.11967i | ||||
\(851\) | −6.82025 | − | 18.7385i | −0.233795 | − | 0.642347i | ||||
\(852\) | −2.40567 | + | 85.8640i | −0.0824168 | + | 2.94165i | ||||
\(853\) | 9.78005 | − | 26.8705i | 0.334863 | − | 0.920028i | −0.651964 | − | 0.758249i | \(-0.726055\pi\) |
0.986827 | − | 0.161778i | \(-0.0517229\pi\) | |||||||
\(854\) | −13.7336 | − | 0.203509i | −0.469954 | − | 0.00696395i | ||||
\(855\) | −6.86680 | + | 16.0140i | −0.234840 | + | 0.547666i | ||||
\(856\) | 4.26417 | − | 7.38576i | 0.145746 | − | 0.252440i | ||||
\(857\) | −8.21388 | − | 2.98961i | −0.280581 | − | 0.102123i | 0.197897 | − | 0.980223i | \(-0.436589\pi\) |
−0.478477 | + | 0.878100i | \(0.658811\pi\) | |||||||
\(858\) | 55.0530 | − | 61.9971i | 1.87948 | − | 2.11655i | ||||
\(859\) | −18.8402 | + | 22.4529i | −0.642819 | + | 0.766082i | −0.984813 | − | 0.173620i | \(-0.944453\pi\) |
0.341994 | + | 0.939702i | \(0.388898\pi\) | |||||||
\(860\) | 7.94277 | − | 45.0457i | 0.270846 | − | 1.53605i | ||||
\(861\) | 0.129542 | + | 0.977875i | 0.00441477 | + | 0.0333259i | ||||
\(862\) | −32.9813 | + | 27.6746i | −1.12335 | + | 0.942601i | ||||
\(863\) | −11.0734 | + | 6.39323i | −0.376943 | + | 0.217628i | −0.676487 | − | 0.736454i | \(-0.736499\pi\) |
0.299544 | + | 0.954082i | \(0.403165\pi\) | |||||||
\(864\) | −8.32979 | − | 30.6895i | −0.283385 | − | 1.04408i | ||||
\(865\) | −7.41458 | + | 12.8424i | −0.252103 | + | 0.436656i | ||||
\(866\) | 45.3144 | + | 16.4931i | 1.53985 | + | 0.560458i | ||||
\(867\) | −6.61085 | + | 5.23878i | −0.224516 | + | 0.177918i | ||||
\(868\) | −12.4746 | − | 2.39071i | −0.423416 | − | 0.0811461i | ||||
\(869\) | −7.62224 | − | 20.9419i | −0.258567 | − | 0.710406i | ||||
\(870\) | 8.47184 | + | 7.52294i | 0.287222 | + | 0.255051i | ||||
\(871\) | 17.5937 | − | 48.3383i | 0.596140 | − | 1.63788i | ||||
\(872\) | − | 88.9832i | − | 3.01335i | ||||||
\(873\) | −27.7147 | + | 13.9938i | −0.937999 | + | 0.473618i | ||||
\(874\) | −74.5233 | − | 43.0261i | −2.52079 | − | 1.45538i | ||||
\(875\) | −19.1282 | + | 15.5734i | −0.646653 | + | 0.526477i | ||||
\(876\) | 79.3131 | − | 42.8757i | 2.67974 | − | 1.44864i | ||||
\(877\) | 1.33790 | − | 7.58764i | 0.0451778 | − | 0.256216i | −0.953851 | − | 0.300281i | \(-0.902920\pi\) |
0.999029 | + | 0.0440646i | \(0.0140307\pi\) | |||||||
\(878\) | 37.7583 | − | 13.7429i | 1.27428 | − | 0.463801i | ||||
\(879\) | 9.10981 | − | 14.8050i | 0.307266 | − | 0.499360i | ||||
\(880\) | 31.6072 | − | 5.57319i | 1.06548 | − | 0.187872i | ||||
\(881\) | −21.4033 | + | 37.0716i | −0.721095 | + | 1.24897i | 0.239466 | + | 0.970905i | \(0.423027\pi\) |
−0.960561 | + | 0.278068i | \(0.910306\pi\) | |||||||
\(882\) | 51.8524 | + | 13.8042i | 1.74596 | + | 0.464813i | ||||
\(883\) | 16.7356 | + | 28.9869i | 0.563197 | + | 0.975486i | 0.997215 | + | 0.0745816i | \(0.0237621\pi\) |
−0.434018 | + | 0.900904i | \(0.642905\pi\) | |||||||
\(884\) | −46.1852 | − | 55.0414i | −1.55338 | − | 1.85124i | ||||
\(885\) | 18.3617 | − | 6.10639i | 0.617221 | − | 0.205264i | ||||
\(886\) | −6.53027 | + | 37.0350i | −0.219389 | + | 1.24422i | ||||
\(887\) | −2.06145 | + | 0.750308i | −0.0692169 | + | 0.0251929i | −0.376397 | − | 0.926459i | \(-0.622837\pi\) |
0.307180 | + | 0.951652i | \(0.400615\pi\) | |||||||
\(888\) | 36.3640 | − | 5.36662i | 1.22029 | − | 0.180092i | ||||
\(889\) | 7.72014 | + | 47.9251i | 0.258925 | + | 1.60736i | ||||
\(890\) | − | 11.6933i | − | 0.391961i | ||||||
\(891\) | 26.8132 | − | 25.5166i | 0.898278 | − | 0.854839i | ||||
\(892\) | −5.28455 | − | 3.05104i | −0.176940 | − | 0.102156i | ||||
\(893\) | −4.80931 | + | 0.848012i | −0.160938 | + | 0.0283776i | ||||
\(894\) | 9.67028 | − | 7.66324i | 0.323423 | − | 0.256297i | ||||
\(895\) | −15.2925 | − | 2.69647i | −0.511170 | − | 0.0901331i | ||||
\(896\) | −9.00099 | − | 25.9186i | −0.300702 | − | 0.865881i | ||||
\(897\) | 35.8203 | + | 31.8082i | 1.19601 | + | 1.06204i | ||||
\(898\) | 7.03859 | − | 5.90608i | 0.234881 | − | 0.197088i | ||||
\(899\) | 2.59168 | 0.0864374 | ||||||||
\(900\) | −50.7752 | + | 15.3206i | −1.69251 | + | 0.510686i | ||||
\(901\) | 2.22994i | 0.0742900i | ||||||||
\(902\) | −2.12560 | − | 0.773655i | −0.0707747 | − | 0.0257599i | ||||
\(903\) | 20.4415 | + | 39.1906i | 0.680250 | + | 1.30418i | ||||
\(904\) | 30.3703 | + | 25.4837i | 1.01010 | + | 0.847575i | ||||
\(905\) | −9.51629 | − | 1.67798i | −0.316332 | − | 0.0557779i | ||||
\(906\) | 0.337266 | − | 12.0378i | 0.0112049 | − | 0.399930i | ||||
\(907\) | −18.7127 | + | 15.7018i | −0.621344 | + | 0.521370i | −0.898226 | − | 0.439534i | \(-0.855144\pi\) |
0.276881 | + | 0.960904i | \(0.410699\pi\) | |||||||
\(908\) | −89.8181 | −2.98072 | ||||||||
\(909\) | −14.8418 | − | 29.3941i | −0.492270 | − | 0.974939i | ||||
\(910\) | −16.5348 | + | 27.6836i | −0.548124 | + | 0.917702i | ||||
\(911\) | −8.92434 | + | 1.57360i | −0.295676 | + | 0.0521357i | −0.319519 | − | 0.947580i | \(-0.603521\pi\) |
0.0238421 | + | 0.999716i | \(0.492410\pi\) | |||||||
\(912\) | 47.5426 | − | 53.5394i | 1.57429 | − | 1.77287i | ||||
\(913\) | 41.6234 | + | 7.33933i | 1.37753 | + | 0.242896i | ||||
\(914\) | −0.741392 | + | 0.883557i | −0.0245231 | + | 0.0292255i | ||||
\(915\) | 1.35675 | − | 3.42592i | 0.0448529 | − | 0.113257i | ||||
\(916\) | −2.41784 | − | 2.88146i | −0.0798875 | − | 0.0952062i | ||||
\(917\) | 32.8186 | + | 0.486319i | 1.08377 | + | 0.0160597i | ||||
\(918\) | −26.6455 | − | 37.7928i | −0.879434 | − | 1.24735i | ||||
\(919\) | 10.1125 | + | 17.5154i | 0.333582 | + | 0.577781i | 0.983211 | − | 0.182470i | \(-0.0584092\pi\) |
−0.649629 | + | 0.760251i | \(0.725076\pi\) | |||||||
\(920\) | 7.13350 | + | 40.4561i | 0.235185 | + | 1.33380i | ||||
\(921\) | −25.0612 | − | 31.6249i | −0.825796 | − | 1.04208i | ||||
\(922\) | −20.9775 | − | 57.6353i | −0.690858 | − | 1.89812i | ||||
\(923\) | 46.8742 | − | 17.0608i | 1.54288 | − | 0.561563i | ||||
\(924\) | −57.6135 | + | 62.9760i | −1.89535 | + | 2.07176i | ||||
\(925\) | −2.22628 | − | 12.6259i | −0.0731997 | − | 0.415136i | ||||
\(926\) | 53.0909 | + | 30.6521i | 1.74468 | + | 1.00729i | ||||
\(927\) | 33.2602 | − | 3.96034i | 1.09241 | − | 0.130075i | ||||
\(928\) | −7.48121 | − | 12.9578i | −0.245583 | − | 0.425362i | ||||
\(929\) | 9.34095 | + | 52.9752i | 0.306467 | + | 1.73806i | 0.616520 | + | 0.787339i | \(0.288542\pi\) |
−0.310053 | + | 0.950719i | \(0.600347\pi\) | |||||||
\(930\) | 2.57436 | − | 4.18377i | 0.0844166 | − | 0.137191i | ||||
\(931\) | 12.1929 | + | 36.8634i | 0.399605 | + | 1.20815i | ||||
\(932\) | −11.5273 | + | 13.7377i | −0.377590 | + | 0.449994i | ||||
\(933\) | −16.5599 | − | 0.463961i | −0.542147 | − | 0.0151894i | ||||
\(934\) | 65.0836 | + | 77.5636i | 2.12960 | + | 2.53796i | ||||
\(935\) | 12.9890 | − | 7.49921i | 0.424786 | − | 0.245250i | ||||
\(936\) | −70.7165 | + | 52.8840i | −2.31144 | + | 1.72857i | ||||
\(937\) | −15.9506 | + | 9.20909i | −0.521084 | + | 0.300848i | −0.737378 | − | 0.675480i | \(-0.763936\pi\) |
0.216294 | + | 0.976328i | \(0.430603\pi\) | |||||||
\(938\) | −27.1702 | + | 71.3424i | −0.887139 | + | 2.32941i | ||||
\(939\) | −11.3434 | − | 2.32946i | −0.370177 | − | 0.0760191i | ||||
\(940\) | 3.19831 | + | 2.68370i | 0.104318 | + | 0.0875328i | ||||
\(941\) | 1.53310 | + | 1.28643i | 0.0499778 | + | 0.0419363i | 0.667434 | − | 0.744669i | \(-0.267392\pi\) |
−0.617457 | + | 0.786605i | \(0.711837\pi\) | |||||||
\(942\) | −53.4939 | + | 42.3914i | −1.74293 | + | 1.38119i | ||||
\(943\) | 0.446997 | − | 1.22812i | 0.0145562 | − | 0.0399929i | ||||
\(944\) | −79.5174 | −2.58807 | ||||||||
\(945\) | −8.39277 | + | 11.6955i | −0.273017 | + | 0.380454i | ||||
\(946\) | −101.361 | −3.29552 | ||||||||
\(947\) | −9.63302 | + | 26.4665i | −0.313031 | + | 0.860046i | 0.679010 | + | 0.734129i | \(0.262409\pi\) |
−0.992041 | + | 0.125916i | \(0.959813\pi\) | |||||||
\(948\) | 6.20591 | + | 42.0509i | 0.201559 | + | 1.36575i | ||||
\(949\) | −40.1085 | − | 33.6550i | −1.30198 | − | 1.09249i | ||||
\(950\) | −42.3816 | − | 35.5623i | −1.37504 | − | 1.15379i | ||||
\(951\) | 1.36232 | + | 4.09644i | 0.0441763 | + | 0.132836i | ||||
\(952\) | 37.5928 | + | 46.1739i | 1.21839 | + | 1.49650i | ||||
\(953\) | 39.6503 | − | 22.8921i | 1.28440 | − | 0.741548i | 0.306749 | − | 0.951790i | \(-0.400759\pi\) |
0.977649 | + | 0.210242i | \(0.0674253\pi\) | |||||||
\(954\) | 4.90026 | + | 0.274798i | 0.158652 | + | 0.00889692i | ||||
\(955\) | 18.6980 | − | 10.7953i | 0.605054 | − | 0.349328i | ||||
\(956\) | −68.0292 | − | 81.0740i | −2.20022 | − | 2.62212i | ||||
\(957\) | 9.12692 | − | 14.8328i | 0.295031 | − | 0.479476i | ||||
\(958\) | −19.7473 | + | 23.5340i | −0.638008 | + | 0.760348i | ||||
\(959\) | 8.35782 | + | 1.60174i | 0.269888 | + | 0.0517230i | ||||
\(960\) | −1.32645 | − | 0.0371633i | −0.0428109 | − | 0.00119944i | ||||
\(961\) | 5.18797 | + | 29.4224i | 0.167354 | + | 0.949110i | ||||
\(962\) | −19.1140 | − | 33.1064i | −0.616259 | − | 1.06739i | ||||
\(963\) | −3.85476 | − | 0.904814i | −0.124218 | − | 0.0291572i | ||||
\(964\) | −16.0864 | − | 9.28751i | −0.518109 | − | 0.299130i | ||||
\(965\) | −1.46038 | − | 8.28220i | −0.0470112 | − | 0.266614i | ||||
\(966\) | −52.4543 | − | 47.9878i | −1.68769 | − | 1.54398i | ||||
\(967\) | −28.8765 | + | 10.5102i | −0.928605 | + | 0.337985i | −0.761657 | − | 0.647981i | \(-0.775614\pi\) |
−0.166949 | + | 0.985966i | \(0.553391\pi\) | |||||||
\(968\) | −13.0704 | − | 35.9106i | −0.420098 | − | 1.15421i | ||||
\(969\) | 12.3203 | − | 31.1098i | 0.395785 | − | 0.999392i | ||||
\(970\) | 4.80815 | + | 27.2684i | 0.154380 | + | 0.875535i | ||||
\(971\) | 16.2356 | + | 28.1209i | 0.521026 | + | 0.902444i | 0.999701 | + | 0.0244515i | \(0.00778393\pi\) |
−0.478675 | + | 0.877992i | \(0.658883\pi\) | |||||||
\(972\) | −59.8862 | + | 37.3858i | −1.92085 | + | 1.19915i | ||||
\(973\) | −16.1694 | − | 9.65761i | −0.518366 | − | 0.309609i | ||||
\(974\) | −65.5601 | − | 78.1315i | −2.10068 | − | 2.50349i | ||||
\(975\) | 19.1288 | + | 24.1387i | 0.612612 | + | 0.773058i | ||||
\(976\) | −9.73312 | + | 11.5995i | −0.311549 | + | 0.371290i | ||||
\(977\) | −5.12538 | − | 0.903742i | −0.163975 | − | 0.0289133i | 0.0910577 | − | 0.995846i | \(-0.470975\pi\) |
−0.255033 | + | 0.966932i | \(0.582086\pi\) | |||||||
\(978\) | 0.420942 | + | 0.0864441i | 0.0134602 | + | 0.00276418i | ||||
\(979\) | −17.7014 | + | 3.12123i | −0.565739 | + | 0.0997550i | ||||
\(980\) | 17.4421 | − | 28.2434i | 0.557167 | − | 0.902203i | ||||
\(981\) | −39.5518 | + | 11.9341i | −1.26279 | + | 0.381026i | ||||
\(982\) | 48.4855 | 1.54723 | ||||||||
\(983\) | −25.3404 | + | 21.2631i | −0.808232 | + | 0.678187i | −0.950185 | − | 0.311686i | \(-0.899106\pi\) |
0.141953 | + | 0.989873i | \(0.454662\pi\) | |||||||
\(984\) | 2.05179 | + | 1.26251i | 0.0654086 | + | 0.0402473i | ||||
\(985\) | 22.5973 | + | 3.98452i | 0.720010 | + | 0.126957i | ||||
\(986\) | −16.6672 | − | 13.9855i | −0.530792 | − | 0.445388i | ||||
\(987\) | −4.03090 | − | 0.172737i | −0.128305 | − | 0.00549829i | ||||
\(988\) | −107.530 | − | 39.1378i | −3.42099 | − | 1.24514i | ||||
\(989\) | − | 58.5635i | − | 1.86221i | ||||||
\(990\) | −14.8788 | − | 29.4673i | −0.472878 | − | 0.936533i | ||||
\(991\) | 20.1146 | 0.638961 | 0.319480 | − | 0.947593i | \(-0.396492\pi\) | ||||
0.319480 | + | 0.947593i | \(0.396492\pi\) | |||||||
\(992\) | −4.96958 | + | 4.16997i | −0.157784 | + | 0.132397i | ||||
\(993\) | 50.3775 | − | 16.7536i | 1.59868 | − | 0.531661i | ||||
\(994\) | −69.9317 | + | 24.2858i | −2.21810 | + | 0.770299i | ||||
\(995\) | −17.7270 | − | 3.12575i | −0.561985 | − | 0.0990931i | ||||
\(996\) | −74.9504 | − | 29.6823i | −2.37489 | − | 0.940519i | ||||
\(997\) | −13.0420 | + | 2.29965i | −0.413043 | + | 0.0728307i | −0.376309 | − | 0.926494i | \(-0.622807\pi\) |
−0.0367347 | + | 0.999325i | \(0.511696\pi\) | |||||||
\(998\) | 34.1276 | + | 19.7036i | 1.08029 | + | 0.623705i | ||||
\(999\) | −7.26238 | − | 15.4435i | −0.229772 | − | 0.488611i |
(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 | 189.2.bd.a.59.22 | yes | 132 | |
3.2 | odd | 2 | 567.2.bd.a.206.1 | 132 | |||
7.5 | odd | 6 | 189.2.ba.a.5.1 | ✓ | 132 | ||
21.5 | even | 6 | 567.2.ba.a.530.22 | 132 | |||
27.11 | odd | 18 | 189.2.ba.a.38.1 | yes | 132 | ||
27.16 | even | 9 | 567.2.ba.a.521.22 | 132 | |||
189.124 | odd | 18 | 567.2.bd.a.278.1 | 132 | |||
189.173 | even | 18 | inner | 189.2.bd.a.173.22 | yes | 132 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
189.2.ba.a.5.1 | ✓ | 132 | 7.5 | odd | 6 | ||
189.2.ba.a.38.1 | yes | 132 | 27.11 | odd | 18 | ||
189.2.bd.a.59.22 | yes | 132 | 1.1 | even | 1 | trivial | |
189.2.bd.a.173.22 | yes | 132 | 189.173 | even | 18 | inner | |
567.2.ba.a.521.22 | 132 | 27.16 | even | 9 | |||
567.2.ba.a.530.22 | 132 | 21.5 | even | 6 | |||
567.2.bd.a.206.1 | 132 | 3.2 | odd | 2 | |||
567.2.bd.a.278.1 | 132 | 189.124 | odd | 18 |