Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [294,2,Mod(41,294)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(294, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([7, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("294.41");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 294 = 2 \cdot 3 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 294.j (of order \(14\), 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: | \(2.34760181943\) |
Analytic rank: | \(0\) |
Dimension: | \(120\) |
Relative dimension: | \(20\) over \(\Q(\zeta_{14})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{14}]$ |
Embedding invariants
Embedding label | 41.9 | ||
Character | \(\chi\) | \(=\) | 294.41 |
Dual form | 294.2.j.a.251.9 |
$q$-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 \(\left(\mathbb{Z}/294\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(199\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{5}{14}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.781831 | + | 0.623490i | −0.552838 | + | 0.440874i | ||||
\(3\) | 1.38755 | − | 1.03668i | 0.801103 | − | 0.598527i | ||||
\(4\) | 0.222521 | − | 0.974928i | 0.111260 | − | 0.487464i | ||||
\(5\) | 1.24567 | − | 0.599884i | 0.557082 | − | 0.268276i | −0.134087 | − | 0.990970i | \(-0.542810\pi\) |
0.691169 | + | 0.722693i | \(0.257096\pi\) | |||||||
\(6\) | −0.438472 | + | 1.67563i | −0.179006 | + | 0.684074i | ||||
\(7\) | 2.35011 | + | 1.21532i | 0.888257 | + | 0.459347i | ||||
\(8\) | 0.433884 | + | 0.900969i | 0.153401 | + | 0.318541i | ||||
\(9\) | 0.850594 | − | 2.87689i | 0.283531 | − | 0.958963i | ||||
\(10\) | −0.599884 | + | 1.24567i | −0.189700 | + | 0.393916i | ||||
\(11\) | −4.74543 | + | 3.78435i | −1.43080 | + | 1.14103i | −0.463896 | + | 0.885890i | \(0.653549\pi\) |
−0.966905 | + | 0.255136i | \(0.917880\pi\) | |||||||
\(12\) | −0.701928 | − | 1.58344i | −0.202629 | − | 0.457101i | ||||
\(13\) | 3.67688 | − | 2.93221i | 1.01978 | − | 0.813249i | 0.0372432 | − | 0.999306i | \(-0.488142\pi\) |
0.982539 | + | 0.186057i | \(0.0595709\pi\) | |||||||
\(14\) | −2.59513 | + | 0.515095i | −0.693576 | + | 0.137665i | ||||
\(15\) | 1.10655 | − | 2.12373i | 0.285709 | − | 0.548345i | ||||
\(16\) | −0.900969 | − | 0.433884i | −0.225242 | − | 0.108471i | ||||
\(17\) | −1.02928 | − | 4.50956i | −0.249637 | − | 1.09373i | −0.931926 | − | 0.362648i | \(-0.881873\pi\) |
0.682290 | − | 0.731082i | \(-0.260984\pi\) | |||||||
\(18\) | 1.12869 | + | 2.77958i | 0.266035 | + | 0.655153i | ||||
\(19\) | 0.830794i | 0.190597i | 0.995449 | + | 0.0952986i | \(0.0303806\pi\) | ||||
−0.995449 | + | 0.0952986i | \(0.969619\pi\) | |||||||
\(20\) | −0.307656 | − | 1.34793i | −0.0687939 | − | 0.301406i | ||||
\(21\) | 4.52079 | − | 0.749993i | 0.986516 | − | 0.163662i | ||||
\(22\) | 1.35062 | − | 5.91746i | 0.287953 | − | 1.26161i | ||||
\(23\) | 6.70486 | + | 1.53034i | 1.39806 | + | 0.319098i | 0.854142 | − | 0.520040i | \(-0.174083\pi\) |
0.543919 | + | 0.839138i | \(0.316940\pi\) | |||||||
\(24\) | 1.53605 | + | 0.800342i | 0.313545 | + | 0.163369i | ||||
\(25\) | −1.92561 | + | 2.41464i | −0.385122 | + | 0.482928i | ||||
\(26\) | −1.04649 | + | 4.58499i | −0.205234 | + | 0.899191i | ||||
\(27\) | −1.80217 | − | 4.87362i | −0.346827 | − | 0.937929i | ||||
\(28\) | 1.70779 | − | 2.02075i | 0.322743 | − | 0.381886i | ||||
\(29\) | −5.02565 | + | 1.14707i | −0.933240 | + | 0.213006i | −0.661998 | − | 0.749505i | \(-0.730291\pi\) |
−0.271242 | + | 0.962511i | \(0.587434\pi\) | |||||||
\(30\) | 0.458992 | + | 2.35032i | 0.0838002 | + | 0.429108i | ||||
\(31\) | − | 3.29815i | − | 0.592365i | −0.955131 | − | 0.296182i | \(-0.904286\pi\) | ||
0.955131 | − | 0.296182i | \(-0.0957136\pi\) | |||||||
\(32\) | 0.974928 | − | 0.222521i | 0.172345 | − | 0.0393365i | ||||
\(33\) | −2.66137 | + | 10.1705i | −0.463284 | + | 1.77045i | ||||
\(34\) | 3.61639 | + | 2.88397i | 0.620205 | + | 0.494597i | ||||
\(35\) | 3.65651 | + | 0.104094i | 0.618064 | + | 0.0175951i | ||||
\(36\) | −2.61548 | − | 1.46944i | −0.435914 | − | 0.244906i | ||||
\(37\) | 0.766842 | + | 3.35975i | 0.126068 | + | 0.552340i | 0.998028 | + | 0.0627637i | \(0.0199914\pi\) |
−0.871960 | + | 0.489576i | \(0.837151\pi\) | |||||||
\(38\) | −0.517992 | − | 0.649541i | −0.0840294 | − | 0.105369i | ||||
\(39\) | 2.06209 | − | 7.88033i | 0.330199 | − | 1.26186i | ||||
\(40\) | 1.08095 | + | 0.862032i | 0.170914 | + | 0.136299i | ||||
\(41\) | −3.21630 | + | 1.54889i | −0.502302 | + | 0.241896i | −0.667836 | − | 0.744308i | \(-0.732779\pi\) |
0.165535 | + | 0.986204i | \(0.447065\pi\) | |||||||
\(42\) | −3.06688 | + | 3.40503i | −0.473230 | + | 0.525408i | ||||
\(43\) | 2.30191 | + | 1.10854i | 0.351038 | + | 0.169051i | 0.601090 | − | 0.799182i | \(-0.294733\pi\) |
−0.250052 | + | 0.968232i | \(0.580448\pi\) | |||||||
\(44\) | 2.63352 | + | 5.46855i | 0.397017 | + | 0.824415i | ||||
\(45\) | −0.666239 | − | 4.09392i | −0.0993170 | − | 0.610285i | ||||
\(46\) | −6.19623 | + | 2.98395i | −0.913584 | + | 0.439959i | ||||
\(47\) | 1.68186 | + | 2.10898i | 0.245324 | + | 0.307627i | 0.889214 | − | 0.457491i | \(-0.151252\pi\) |
−0.643890 | + | 0.765118i | \(0.722681\pi\) | |||||||
\(48\) | −1.69994 | + | 0.331980i | −0.245365 | + | 0.0479171i | ||||
\(49\) | 4.04601 | + | 5.71225i | 0.578001 | + | 0.816036i | ||||
\(50\) | − | 3.08844i | − | 0.436771i | ||||||
\(51\) | −6.10314 | − | 5.19022i | −0.854611 | − | 0.726776i | ||||
\(52\) | −2.04051 | − | 4.23717i | −0.282968 | − | 0.587590i | ||||
\(53\) | −8.03549 | − | 1.83405i | −1.10376 | − | 0.251926i | −0.368443 | − | 0.929650i | \(-0.620109\pi\) |
−0.735316 | + | 0.677724i | \(0.762966\pi\) | |||||||
\(54\) | 4.44764 | + | 2.68672i | 0.605248 | + | 0.365616i | ||||
\(55\) | −3.64108 | + | 7.56078i | −0.490963 | + | 1.01949i | ||||
\(56\) | −0.0752892 | + | 2.64468i | −0.0100609 | + | 0.353410i | ||||
\(57\) | 0.861267 | + | 1.15277i | 0.114078 | + | 0.152688i | ||||
\(58\) | 3.21403 | − | 4.03026i | 0.422022 | − | 0.529199i | ||||
\(59\) | 8.71118 | + | 4.19508i | 1.13410 | + | 0.546153i | 0.904220 | − | 0.427066i | \(-0.140453\pi\) |
0.229879 | + | 0.973219i | \(0.426167\pi\) | |||||||
\(60\) | −1.82426 | − | 1.55138i | −0.235510 | − | 0.200282i | ||||
\(61\) | −6.90429 | + | 1.57586i | −0.884004 | + | 0.201768i | −0.640340 | − | 0.768092i | \(-0.721207\pi\) |
−0.243664 | + | 0.969860i | \(0.578349\pi\) | |||||||
\(62\) | 2.05636 | + | 2.57859i | 0.261158 | + | 0.327482i | ||||
\(63\) | 5.49532 | − | 5.72726i | 0.692345 | − | 0.721567i | ||||
\(64\) | −0.623490 | + | 0.781831i | −0.0779362 | + | 0.0977289i | ||||
\(65\) | 2.82120 | − | 5.85828i | 0.349926 | − | 0.726630i | ||||
\(66\) | −4.26045 | − | 9.61093i | −0.524425 | − | 1.18302i | ||||
\(67\) | −9.57648 | −1.16995 | −0.584976 | − | 0.811050i | \(-0.698896\pi\) | ||||
−0.584976 | + | 0.811050i | \(0.698896\pi\) | |||||||
\(68\) | −4.62553 | −0.560928 | ||||||||
\(69\) | 10.8898 | − | 4.82736i | 1.31098 | − | 0.581146i | ||||
\(70\) | −2.92368 | + | 2.19841i | −0.349446 | + | 0.262761i | ||||
\(71\) | −1.12963 | − | 0.257831i | −0.134063 | − | 0.0305989i | 0.154963 | − | 0.987920i | \(-0.450474\pi\) |
−0.289026 | + | 0.957321i | \(0.593331\pi\) | |||||||
\(72\) | 2.96105 | − | 0.481877i | 0.348963 | − | 0.0567897i | ||||
\(73\) | −10.6284 | − | 8.47585i | −1.24396 | − | 0.992023i | −0.999751 | − | 0.0222993i | \(-0.992901\pi\) |
−0.244206 | − | 0.969723i | \(-0.578527\pi\) | |||||||
\(74\) | −2.69431 | − | 2.14864i | −0.313208 | − | 0.249775i | ||||
\(75\) | −0.168677 | + | 5.34667i | −0.0194771 | + | 0.617381i | ||||
\(76\) | 0.809965 | + | 0.184869i | 0.0929093 | + | 0.0212059i | ||||
\(77\) | −15.7515 | + | 3.12644i | −1.79505 | + | 0.356291i | ||||
\(78\) | 3.30110 | + | 7.44678i | 0.373776 | + | 0.843182i | ||||
\(79\) | −15.0627 | −1.69468 | −0.847341 | − | 0.531049i | \(-0.821798\pi\) | ||||
−0.847341 | + | 0.531049i | \(0.821798\pi\) | |||||||
\(80\) | −1.38259 | −0.154578 | ||||||||
\(81\) | −7.55298 | − | 4.89413i | −0.839220 | − | 0.543792i | ||||
\(82\) | 1.54889 | − | 3.21630i | 0.171046 | − | 0.355181i | ||||
\(83\) | −2.44958 | + | 3.07168i | −0.268877 | + | 0.337161i | −0.897879 | − | 0.440243i | \(-0.854892\pi\) |
0.629002 | + | 0.777404i | \(0.283464\pi\) | |||||||
\(84\) | 0.274781 | − | 4.57433i | 0.0299810 | − | 0.499100i | ||||
\(85\) | −3.98736 | − | 4.99999i | −0.432490 | − | 0.542325i | ||||
\(86\) | −2.49087 | + | 0.568525i | −0.268597 | + | 0.0613056i | ||||
\(87\) | −5.78420 | + | 6.80161i | −0.620132 | + | 0.729209i | ||||
\(88\) | −5.46855 | − | 2.63352i | −0.582949 | − | 0.280734i | ||||
\(89\) | 5.74690 | − | 7.20638i | 0.609170 | − | 0.763875i | −0.377606 | − | 0.925966i | \(-0.623253\pi\) |
0.986776 | + | 0.162091i | \(0.0518240\pi\) | |||||||
\(90\) | 3.07340 | + | 2.78536i | 0.323965 | + | 0.293603i | ||||
\(91\) | 12.2046 | − | 2.42244i | 1.27939 | − | 0.253941i | ||||
\(92\) | 2.98395 | − | 6.19623i | 0.311098 | − | 0.646001i | ||||
\(93\) | −3.41912 | − | 4.57635i | −0.354546 | − | 0.474545i | ||||
\(94\) | −2.62986 | − | 0.600248i | −0.271249 | − | 0.0619109i | ||||
\(95\) | 0.498380 | + | 1.03490i | 0.0511328 | + | 0.106178i | ||||
\(96\) | 1.12208 | − | 1.31945i | 0.114522 | − | 0.134665i | ||||
\(97\) | 14.5502i | 1.47735i | 0.674064 | + | 0.738673i | \(0.264547\pi\) | ||||
−0.674064 | + | 0.738673i | \(0.735453\pi\) | |||||||
\(98\) | −6.72483 | − | 1.94337i | −0.679310 | − | 0.196310i | ||||
\(99\) | 6.85073 | + | 16.8710i | 0.688525 | + | 1.69560i | ||||
\(100\) | 1.92561 | + | 2.41464i | 0.192561 | + | 0.241464i | ||||
\(101\) | −9.32141 | + | 4.48895i | −0.927515 | + | 0.446667i | −0.835748 | − | 0.549113i | \(-0.814966\pi\) |
−0.0917665 | + | 0.995781i | \(0.529251\pi\) | |||||||
\(102\) | 8.00768 | + | 0.252626i | 0.792878 | + | 0.0250137i | ||||
\(103\) | 5.22239 | + | 10.8444i | 0.514577 | + | 1.06853i | 0.982758 | + | 0.184898i | \(0.0591953\pi\) |
−0.468181 | + | 0.883633i | \(0.655090\pi\) | |||||||
\(104\) | 4.23717 | + | 2.04051i | 0.415489 | + | 0.200089i | ||||
\(105\) | 5.18151 | − | 3.64619i | 0.505664 | − | 0.355832i | ||||
\(106\) | 7.42591 | − | 3.57613i | 0.721268 | − | 0.347344i | ||||
\(107\) | 1.62625 | + | 1.29689i | 0.157216 | + | 0.125376i | 0.698938 | − | 0.715182i | \(-0.253656\pi\) |
−0.541722 | + | 0.840557i | \(0.682228\pi\) | |||||||
\(108\) | −5.15245 | + | 0.672501i | −0.495795 | + | 0.0647114i | ||||
\(109\) | 10.0298 | + | 12.5770i | 0.960682 | + | 1.20466i | 0.978799 | + | 0.204821i | \(0.0656611\pi\) |
−0.0181179 | + | 0.999836i | \(0.505767\pi\) | |||||||
\(110\) | −1.86736 | − | 8.18143i | −0.178046 | − | 0.780068i | ||||
\(111\) | 4.54702 | + | 3.86686i | 0.431584 | + | 0.367026i | ||||
\(112\) | −1.59007 | − | 2.11464i | −0.150247 | − | 0.199814i | ||||
\(113\) | 3.80437 | + | 3.03389i | 0.357885 | + | 0.285404i | 0.785882 | − | 0.618376i | \(-0.212209\pi\) |
−0.427997 | + | 0.903780i | \(0.640781\pi\) | |||||||
\(114\) | −1.39211 | − | 0.364280i | −0.130383 | − | 0.0341180i | ||||
\(115\) | 9.27009 | − | 2.11584i | 0.864441 | − | 0.197303i | ||||
\(116\) | 5.15490i | 0.478620i | ||||||||
\(117\) | −5.30812 | − | 13.0721i | −0.490736 | − | 1.20851i | ||||
\(118\) | −9.42627 | + | 2.15148i | −0.867758 | + | 0.198060i | ||||
\(119\) | 3.06163 | − | 11.8489i | 0.280659 | − | 1.08618i | ||||
\(120\) | 2.39353 | + | 0.0755111i | 0.218498 | + | 0.00689319i | ||||
\(121\) | 5.75004 | − | 25.1926i | 0.522731 | − | 2.29023i | ||||
\(122\) | 4.41546 | − | 5.53681i | 0.399757 | − | 0.501279i | ||||
\(123\) | −2.85708 | + | 5.48343i | −0.257614 | + | 0.494424i | ||||
\(124\) | −3.21545 | − | 0.733907i | −0.288756 | − | 0.0659068i | ||||
\(125\) | −2.48845 | + | 10.9026i | −0.222574 | + | 0.975161i | ||||
\(126\) | −0.725527 | + | 7.90402i | −0.0646351 | + | 0.704147i | ||||
\(127\) | −1.33968 | − | 5.86954i | −0.118878 | − | 0.520837i | −0.998942 | − | 0.0459832i | \(-0.985358\pi\) |
0.880064 | − | 0.474854i | \(-0.157499\pi\) | |||||||
\(128\) | − | 1.00000i | − | 0.0883883i | ||||||
\(129\) | 4.34322 | − | 0.848183i | 0.382399 | − | 0.0746784i | ||||
\(130\) | 1.44687 | + | 6.33917i | 0.126899 | + | 0.555982i | ||||
\(131\) | 5.66821 | + | 2.72967i | 0.495234 | + | 0.238492i | 0.664793 | − | 0.747028i | \(-0.268520\pi\) |
−0.169559 | + | 0.985520i | \(0.554234\pi\) | |||||||
\(132\) | 9.32327 | + | 4.85778i | 0.811486 | + | 0.422816i | ||||
\(133\) | −1.00968 | + | 1.95246i | −0.0875502 | + | 0.169299i | ||||
\(134\) | 7.48719 | − | 5.97084i | 0.646795 | − | 0.515802i | ||||
\(135\) | −5.16852 | − | 4.98984i | −0.444835 | − | 0.429457i | ||||
\(136\) | 3.61639 | − | 2.88397i | 0.310103 | − | 0.247299i | ||||
\(137\) | 9.69084 | − | 20.1232i | 0.827945 | − | 1.71925i | 0.144169 | − | 0.989553i | \(-0.453949\pi\) |
0.683776 | − | 0.729692i | \(-0.260336\pi\) | |||||||
\(138\) | −5.50419 | + | 10.5639i | −0.468547 | + | 0.899256i | ||||
\(139\) | −0.346981 | − | 0.720513i | −0.0294305 | − | 0.0611131i | 0.885735 | − | 0.464191i | \(-0.153655\pi\) |
−0.915166 | + | 0.403078i | \(0.867940\pi\) | |||||||
\(140\) | 0.915135 | − | 3.54167i | 0.0773430 | − | 0.299326i | ||||
\(141\) | 4.52000 | + | 1.18277i | 0.380653 | + | 0.0996076i | ||||
\(142\) | 1.04394 | − | 0.502734i | 0.0876053 | − | 0.0421885i | ||||
\(143\) | −6.35184 | + | 27.8292i | −0.531167 | + | 2.32720i | ||||
\(144\) | −2.01459 | + | 2.22293i | −0.167883 | + | 0.185244i | ||||
\(145\) | −5.57221 | + | 4.44369i | −0.462747 | + | 0.369028i | ||||
\(146\) | 13.5942 | 1.12506 | ||||||||
\(147\) | 11.5358 | + | 3.73162i | 0.951458 | + | 0.307779i | ||||
\(148\) | 3.44616 | 0.283272 | ||||||||
\(149\) | 9.36588 | − | 7.46904i | 0.767283 | − | 0.611888i | −0.159624 | − | 0.987178i | \(-0.551028\pi\) |
0.926907 | + | 0.375290i | \(0.122457\pi\) | |||||||
\(150\) | −3.20172 | − | 4.28537i | −0.261419 | − | 0.349899i | ||||
\(151\) | −0.0178195 | + | 0.0780722i | −0.00145013 | + | 0.00635342i | −0.975648 | − | 0.219343i | \(-0.929609\pi\) |
0.974198 | + | 0.225696i | \(0.0724658\pi\) | |||||||
\(152\) | −0.748520 | + | 0.360468i | −0.0607130 | + | 0.0292378i | ||||
\(153\) | −13.8490 | − | 0.874688i | −1.11963 | − | 0.0707143i | ||||
\(154\) | 10.3657 | − | 12.2652i | 0.835291 | − | 0.988360i | ||||
\(155\) | −1.97851 | − | 4.10841i | −0.158917 | − | 0.329995i | ||||
\(156\) | −7.22390 | − | 3.76393i | −0.578375 | − | 0.301356i | ||||
\(157\) | −0.754870 | + | 1.56750i | −0.0602452 | + | 0.125100i | −0.928918 | − | 0.370287i | \(-0.879259\pi\) |
0.868672 | + | 0.495387i | \(0.164974\pi\) | |||||||
\(158\) | 11.7765 | − | 9.39142i | 0.936886 | − | 0.747141i | ||||
\(159\) | −13.0510 | + | 5.78539i | −1.03501 | + | 0.458811i | ||||
\(160\) | 1.08095 | − | 0.862032i | 0.0854569 | − | 0.0681496i | ||||
\(161\) | 13.8973 | + | 11.7450i | 1.09526 | + | 0.925636i | ||||
\(162\) | 8.95660 | − | 0.882822i | 0.703697 | − | 0.0693610i | ||||
\(163\) | 16.4133 | + | 7.90424i | 1.28559 | + | 0.619108i | 0.946821 | − | 0.321762i | \(-0.104275\pi\) |
0.338769 | + | 0.940869i | \(0.389989\pi\) | |||||||
\(164\) | 0.794360 | + | 3.48032i | 0.0620291 | + | 0.271767i | ||||
\(165\) | 2.78592 | + | 14.2656i | 0.216883 | + | 1.11057i | ||||
\(166\) | − | 3.92883i | − | 0.304936i | ||||||
\(167\) | −1.87055 | − | 8.19541i | −0.144748 | − | 0.634180i | −0.994295 | − | 0.106668i | \(-0.965982\pi\) |
0.849547 | − | 0.527513i | \(-0.176875\pi\) | |||||||
\(168\) | 2.63722 | + | 3.74768i | 0.203466 | + | 0.289140i | ||||
\(169\) | 2.02879 | − | 8.88870i | 0.156061 | − | 0.683746i | ||||
\(170\) | 6.23489 | + | 1.42307i | 0.478194 | + | 0.109145i | ||||
\(171\) | 2.39010 | + | 0.706669i | 0.182776 | + | 0.0540403i | ||||
\(172\) | 1.59297 | − | 1.99752i | 0.121463 | − | 0.152310i | ||||
\(173\) | −1.09089 | + | 4.77951i | −0.0829389 | + | 0.363379i | −0.999318 | − | 0.0369330i | \(-0.988241\pi\) |
0.916379 | + | 0.400312i | \(0.131098\pi\) | |||||||
\(174\) | 0.281538 | − | 8.92410i | 0.0213433 | − | 0.676534i | ||||
\(175\) | −7.45994 | + | 3.33443i | −0.563919 | + | 0.252060i | ||||
\(176\) | 5.91746 | − | 1.35062i | 0.446045 | − | 0.101807i | ||||
\(177\) | 16.4362 | − | 3.20981i | 1.23542 | − | 0.241264i | ||||
\(178\) | 9.21731i | 0.690866i | ||||||||
\(179\) | −5.74722 | + | 1.31176i | −0.429567 | + | 0.0980459i | −0.431837 | − | 0.901952i | \(-0.642135\pi\) |
0.00227013 | + | 0.999997i | \(0.499277\pi\) | |||||||
\(180\) | −4.13953 | − | 0.261448i | −0.308542 | − | 0.0194872i | ||||
\(181\) | −6.48699 | − | 5.17320i | −0.482174 | − | 0.384521i | 0.352019 | − | 0.935993i | \(-0.385495\pi\) |
−0.834194 | + | 0.551472i | \(0.814067\pi\) | |||||||
\(182\) | −8.03159 | + | 9.50340i | −0.595341 | + | 0.704439i | ||||
\(183\) | −7.94639 | + | 9.34412i | −0.587414 | + | 0.690737i | ||||
\(184\) | 1.53034 | + | 6.70486i | 0.112818 | + | 0.494289i | ||||
\(185\) | 2.97070 | + | 3.72514i | 0.218410 | + | 0.273877i | ||||
\(186\) | 5.52648 | + | 1.44615i | 0.405221 | + | 0.106037i | ||||
\(187\) | 21.9502 | + | 17.5047i | 1.60515 | + | 1.28007i | ||||
\(188\) | 2.43036 | − | 1.17040i | 0.177252 | − | 0.0853600i | ||||
\(189\) | 1.68771 | − | 13.6437i | 0.122763 | − | 0.992436i | ||||
\(190\) | −1.03490 | − | 0.498380i | −0.0750794 | − | 0.0361563i | ||||
\(191\) | −4.47394 | − | 9.29022i | −0.323723 | − | 0.672217i | 0.674067 | − | 0.738670i | \(-0.264546\pi\) |
−0.997790 | + | 0.0664534i | \(0.978832\pi\) | |||||||
\(192\) | −0.0546156 | + | 1.73119i | −0.00394154 | + | 0.124938i | ||||
\(193\) | −9.21730 | + | 4.43882i | −0.663476 | + | 0.319513i | −0.735140 | − | 0.677916i | \(-0.762883\pi\) |
0.0716639 | + | 0.997429i | \(0.477169\pi\) | |||||||
\(194\) | −9.07188 | − | 11.3758i | −0.651323 | − | 0.816733i | ||||
\(195\) | −2.15860 | − | 11.0533i | −0.154580 | − | 0.791545i | ||||
\(196\) | 6.46935 | − | 2.67347i | 0.462097 | − | 0.190962i | ||||
\(197\) | 4.24217i | 0.302242i | 0.988515 | + | 0.151121i | \(0.0482883\pi\) | ||||
−0.988515 | + | 0.151121i | \(0.951712\pi\) | |||||||
\(198\) | −15.8750 | − | 8.91894i | −1.12819 | − | 0.633841i | ||||
\(199\) | −8.37738 | − | 17.3958i | −0.593857 | − | 1.23316i | −0.953873 | − | 0.300211i | \(-0.902943\pi\) |
0.360016 | − | 0.932946i | \(-0.382771\pi\) | |||||||
\(200\) | −3.01101 | − | 0.687242i | −0.212910 | − | 0.0485954i | ||||
\(201\) | −13.2878 | + | 9.92773i | −0.937253 | + | 0.700248i | ||||
\(202\) | 4.48895 | − | 9.32141i | 0.315842 | − | 0.655852i | ||||
\(203\) | −13.2049 | − | 3.41202i | −0.926801 | − | 0.239477i | ||||
\(204\) | −6.41816 | + | 4.79519i | −0.449361 | + | 0.335731i | ||||
\(205\) | −3.07730 | + | 3.85882i | −0.214928 | + | 0.269511i | ||||
\(206\) | −10.8444 | − | 5.22239i | −0.755565 | − | 0.363861i | ||||
\(207\) | 10.1057 | − | 17.9875i | 0.702397 | − | 1.25021i | ||||
\(208\) | −4.58499 | + | 1.04649i | −0.317912 | + | 0.0725613i | ||||
\(209\) | −3.14402 | − | 3.94248i | −0.217476 | − | 0.272707i | ||||
\(210\) | −1.77770 | + | 6.08133i | −0.122673 | + | 0.419652i | ||||
\(211\) | 4.39127 | − | 5.50648i | 0.302308 | − | 0.379082i | −0.607354 | − | 0.794431i | \(-0.707769\pi\) |
0.909662 | + | 0.415349i | \(0.136341\pi\) | |||||||
\(212\) | −3.57613 | + | 7.42591i | −0.245610 | + | 0.510013i | ||||
\(213\) | −1.83471 | + | 0.813312i | −0.125712 | + | 0.0557272i | ||||
\(214\) | −2.08006 | −0.142190 | ||||||||
\(215\) | 3.53242 | 0.240909 | ||||||||
\(216\) | 3.60905 | − | 3.73828i | 0.245565 | − | 0.254358i | ||||
\(217\) | 4.00829 | − | 7.75100i | 0.272101 | − | 0.526172i | ||||
\(218\) | −15.6832 | − | 3.57960i | −1.06220 | − | 0.242441i | ||||
\(219\) | −23.5341 | − | 0.742455i | −1.59029 | − | 0.0501705i | ||||
\(220\) | 6.56100 | + | 5.23222i | 0.442342 | + | 0.352756i | ||||
\(221\) | −17.0075 | − | 13.5630i | −1.14405 | − | 0.912349i | ||||
\(222\) | −5.96595 | − | 0.188214i | −0.400408 | − | 0.0126321i | ||||
\(223\) | 15.5958 | + | 3.55963i | 1.04437 | + | 0.238371i | 0.710096 | − | 0.704105i | \(-0.248652\pi\) |
0.334275 | + | 0.942476i | \(0.391509\pi\) | |||||||
\(224\) | 2.56162 | + | 0.661898i | 0.171155 | + | 0.0442249i | ||||
\(225\) | 5.30874 | + | 7.59364i | 0.353916 | + | 0.506243i | ||||
\(226\) | −4.86597 | −0.323680 | ||||||||
\(227\) | 8.39289 | 0.557055 | 0.278528 | − | 0.960428i | \(-0.410154\pi\) | ||||
0.278528 | + | 0.960428i | \(0.410154\pi\) | |||||||
\(228\) | 1.31552 | − | 0.583158i | 0.0871222 | − | 0.0386206i | ||||
\(229\) | 11.4881 | − | 23.8554i | 0.759158 | − | 1.57641i | −0.0568614 | − | 0.998382i | \(-0.518109\pi\) |
0.816019 | − | 0.578025i | \(-0.196176\pi\) | |||||||
\(230\) | −5.92845 | + | 7.43404i | −0.390910 | + | 0.490186i | ||||
\(231\) | −18.6148 | + | 20.6673i | −1.22477 | + | 1.35981i | ||||
\(232\) | −3.21403 | − | 4.03026i | −0.211011 | − | 0.264600i | ||||
\(233\) | 8.71642 | − | 1.98947i | 0.571031 | − | 0.130334i | 0.0727511 | − | 0.997350i | \(-0.476822\pi\) |
0.498280 | + | 0.867016i | \(0.333965\pi\) | |||||||
\(234\) | 12.3004 | + | 6.91061i | 0.804100 | + | 0.451761i | ||||
\(235\) | 3.36019 | + | 1.61818i | 0.219195 | + | 0.105559i | ||||
\(236\) | 6.02832 | − | 7.55928i | 0.392410 | − | 0.492067i | ||||
\(237\) | −20.9002 | + | 15.6152i | −1.35761 | + | 1.01431i | ||||
\(238\) | 4.99396 | + | 11.1727i | 0.323710 | + | 0.724219i | ||||
\(239\) | 4.79479 | − | 9.95649i | 0.310149 | − | 0.644032i | −0.686383 | − | 0.727241i | \(-0.740802\pi\) |
0.996532 | + | 0.0832086i | \(0.0265168\pi\) | |||||||
\(240\) | −1.91842 | + | 1.43330i | −0.123833 | + | 0.0925194i | ||||
\(241\) | −7.58309 | − | 1.73079i | −0.488470 | − | 0.111490i | −0.0288096 | − | 0.999585i | \(-0.509172\pi\) |
−0.459660 | + | 0.888095i | \(0.652029\pi\) | |||||||
\(242\) | 11.2118 | + | 23.2814i | 0.720719 | + | 1.49659i | ||||
\(243\) | −15.5538 | + | 1.03916i | −0.997776 | + | 0.0666623i | ||||
\(244\) | 7.08185i | 0.453369i | ||||||||
\(245\) | 8.46669 | + | 4.68845i | 0.540917 | + | 0.299534i | ||||
\(246\) | −1.18511 | − | 6.06848i | −0.0755598 | − | 0.386912i | ||||
\(247\) | 2.43606 | + | 3.05473i | 0.155003 | + | 0.194368i | ||||
\(248\) | 2.97153 | − | 1.43101i | 0.188692 | − | 0.0908694i | ||||
\(249\) | −0.214575 | + | 6.80155i | −0.0135982 | + | 0.431031i | ||||
\(250\) | −4.85213 | − | 10.0755i | −0.306875 | − | 0.637233i | ||||
\(251\) | 21.6571 | + | 10.4295i | 1.36699 | + | 0.658306i | 0.966183 | − | 0.257859i | \(-0.0830169\pi\) |
0.400803 | + | 0.916164i | \(0.368731\pi\) | |||||||
\(252\) | −4.36084 | − | 6.63197i | −0.274707 | − | 0.417775i | ||||
\(253\) | −37.6088 | + | 18.1115i | −2.36445 | + | 1.13866i | ||||
\(254\) | 4.70701 | + | 3.75371i | 0.295344 | + | 0.235529i | ||||
\(255\) | −10.7160 | − | 2.80413i | −0.671065 | − | 0.175601i | ||||
\(256\) | 0.623490 | + | 0.781831i | 0.0389681 | + | 0.0488645i | ||||
\(257\) | −5.32276 | − | 23.3205i | −0.332025 | − | 1.45470i | −0.815204 | − | 0.579174i | \(-0.803375\pi\) |
0.483179 | − | 0.875521i | \(-0.339482\pi\) | |||||||
\(258\) | −2.86683 | + | 3.37109i | −0.178481 | + | 0.209875i | ||||
\(259\) | −2.28100 | + | 8.82774i | −0.141735 | + | 0.548529i | ||||
\(260\) | −5.08362 | − | 4.05405i | −0.315273 | − | 0.251422i | ||||
\(261\) | −0.974790 | + | 15.4339i | −0.0603380 | + | 0.955337i | ||||
\(262\) | −6.13351 | + | 1.39993i | −0.378929 | + | 0.0864882i | ||||
\(263\) | − | 3.51437i | − | 0.216705i | −0.994113 | − | 0.108353i | \(-0.965442\pi\) | ||
0.994113 | − | 0.108353i | \(-0.0345575\pi\) | |||||||
\(264\) | −10.3180 | + | 2.01499i | −0.635029 | + | 0.124014i | ||||
\(265\) | −11.1098 | + | 2.53574i | −0.682470 | + | 0.155769i | ||||
\(266\) | −0.427938 | − | 2.15602i | −0.0262386 | − | 0.132194i | ||||
\(267\) | 0.503409 | − | 15.9569i | 0.0308081 | − | 0.976547i | ||||
\(268\) | −2.13097 | + | 9.33637i | −0.130170 | + | 0.570310i | ||||
\(269\) | 3.99917 | − | 5.01481i | 0.243834 | − | 0.305758i | −0.644822 | − | 0.764333i | \(-0.723068\pi\) |
0.888656 | + | 0.458575i | \(0.151640\pi\) | |||||||
\(270\) | 7.15203 | + | 0.678699i | 0.435259 | + | 0.0413043i | ||||
\(271\) | −1.14194 | − | 0.260641i | −0.0693682 | − | 0.0158328i | 0.187696 | − | 0.982227i | \(-0.439898\pi\) |
−0.257064 | + | 0.966394i | \(0.582755\pi\) | |||||||
\(272\) | −1.02928 | + | 4.50956i | −0.0624092 | + | 0.273432i | ||||
\(273\) | 14.4232 | − | 16.0135i | 0.872934 | − | 0.969183i | ||||
\(274\) | 4.97003 | + | 21.7751i | 0.300251 | + | 1.31548i | ||||
\(275\) | − | 18.7457i | − | 1.13041i | ||||||
\(276\) | −2.28312 | − | 11.6910i | −0.137428 | − | 0.703714i | ||||
\(277\) | −5.53892 | − | 24.2676i | −0.332801 | − | 1.45810i | −0.813681 | − | 0.581312i | \(-0.802540\pi\) |
0.480880 | − | 0.876787i | \(-0.340317\pi\) | |||||||
\(278\) | 0.720513 | + | 0.346981i | 0.0432135 | + | 0.0208105i | ||||
\(279\) | −9.48840 | − | 2.80538i | −0.568056 | − | 0.167954i | ||||
\(280\) | 1.49272 | + | 3.33957i | 0.0892069 | + | 0.199577i | ||||
\(281\) | 11.8913 | − | 9.48300i | 0.709376 | − | 0.565708i | −0.200950 | − | 0.979602i | \(-0.564403\pi\) |
0.910325 | + | 0.413893i | \(0.135831\pi\) | |||||||
\(282\) | −4.27133 | + | 1.89344i | −0.254354 | + | 0.112753i | ||||
\(283\) | −11.3731 | + | 9.06971i | −0.676058 | + | 0.539138i | −0.900232 | − | 0.435411i | \(-0.856603\pi\) |
0.224174 | + | 0.974549i | \(0.428032\pi\) | |||||||
\(284\) | −0.502734 | + | 1.04394i | −0.0298318 | + | 0.0619463i | ||||
\(285\) | 1.76438 | + | 0.919313i | 0.104513 | + | 0.0544554i | ||||
\(286\) | −12.3852 | − | 25.7181i | −0.732350 | − | 1.52074i | ||||
\(287\) | −9.44104 | − | 0.268769i | −0.557287 | − | 0.0158649i | ||||
\(288\) | 0.189100 | − | 2.99403i | 0.0111428 | − | 0.176425i | ||||
\(289\) | −3.96027 | + | 1.90717i | −0.232957 | + | 0.112186i | ||||
\(290\) | 1.58593 | − | 6.94843i | 0.0931292 | − | 0.408026i | ||||
\(291\) | 15.0838 | + | 20.1891i | 0.884231 | + | 1.18351i | ||||
\(292\) | −10.6284 | + | 8.47585i | −0.621979 | + | 0.496011i | ||||
\(293\) | 4.09342 | 0.239140 | 0.119570 | − | 0.992826i | \(-0.461848\pi\) | ||||
0.119570 | + | 0.992826i | \(0.461848\pi\) | |||||||
\(294\) | −11.3457 | + | 4.27496i | −0.661694 | + | 0.249321i | ||||
\(295\) | 13.3678 | 0.778306 | ||||||||
\(296\) | −2.69431 | + | 2.14864i | −0.156604 | + | 0.124887i | ||||
\(297\) | 26.9956 | + | 16.3074i | 1.56644 | + | 0.946251i | ||||
\(298\) | −2.66567 | + | 11.6791i | −0.154418 | + | 0.676550i | ||||
\(299\) | 29.1402 | − | 14.0332i | 1.68522 | − | 0.811561i | ||||
\(300\) | 5.17509 | + | 1.35419i | 0.298784 | + | 0.0781845i | ||||
\(301\) | 4.06250 | + | 5.40274i | 0.234159 | + | 0.311409i | ||||
\(302\) | −0.0347454 | − | 0.0721495i | −0.00199937 | − | 0.00415174i | ||||
\(303\) | −8.28032 | + | 15.8920i | −0.475692 | + | 0.912969i | ||||
\(304\) | 0.360468 | − | 0.748520i | 0.0206743 | − | 0.0429306i | ||||
\(305\) | −7.65515 | + | 6.10478i | −0.438333 | + | 0.349559i | ||||
\(306\) | 11.3729 | − | 7.95086i | 0.650148 | − | 0.454520i | ||||
\(307\) | −5.41326 | + | 4.31693i | −0.308951 | + | 0.246380i | −0.765674 | − | 0.643229i | \(-0.777594\pi\) |
0.456723 | + | 0.889609i | \(0.349023\pi\) | |||||||
\(308\) | −0.456978 | + | 16.0522i | −0.0260387 | + | 0.914661i | ||||
\(309\) | 18.4885 | + | 9.63321i | 1.05177 | + | 0.548014i | ||||
\(310\) | 4.10841 | + | 1.97851i | 0.233342 | + | 0.112372i | ||||
\(311\) | 3.10733 | + | 13.6141i | 0.176201 | + | 0.771985i | 0.983362 | + | 0.181655i | \(0.0581453\pi\) |
−0.807162 | + | 0.590330i | \(0.798998\pi\) | |||||||
\(312\) | 7.99464 | − | 1.56127i | 0.452607 | − | 0.0883894i | ||||
\(313\) | − | 17.0194i | − | 0.961993i | −0.876723 | − | 0.480996i | \(-0.840275\pi\) | ||
0.876723 | − | 0.480996i | \(-0.159725\pi\) | |||||||
\(314\) | −0.387142 | − | 1.69618i | −0.0218477 | − | 0.0957209i | ||||
\(315\) | 3.40968 | − | 10.4308i | 0.192113 | − | 0.587711i | ||||
\(316\) | −3.35176 | + | 14.6850i | −0.188551 | + | 0.826097i | ||||
\(317\) | −6.65967 | − | 1.52003i | −0.374044 | − | 0.0853732i | 0.0313661 | − | 0.999508i | \(-0.490014\pi\) |
−0.405410 | + | 0.914135i | \(0.632871\pi\) | |||||||
\(318\) | 6.59653 | − | 12.6603i | 0.369915 | − | 0.709957i | ||||
\(319\) | 19.5080 | − | 24.4622i | 1.09224 | − | 1.36962i | ||||
\(320\) | −0.307656 | + | 1.34793i | −0.0171985 | + | 0.0753514i | ||||
\(321\) | 3.60097 | + | 0.113604i | 0.200987 | + | 0.00634073i | ||||
\(322\) | −18.1882 | − | 0.517786i | −1.01359 | − | 0.0288551i | ||||
\(323\) | 3.74652 | − | 0.855119i | 0.208462 | − | 0.0475801i | ||||
\(324\) | −6.45212 | + | 6.27456i | −0.358451 | + | 0.348587i | ||||
\(325\) | 14.5246i | 0.805681i | ||||||||
\(326\) | −17.7607 | + | 4.05375i | −0.983672 | + | 0.224517i | ||||
\(327\) | 26.9552 | + | 7.05351i | 1.49062 | + | 0.390060i | ||||
\(328\) | −2.79100 | − | 2.22575i | −0.154107 | − | 0.122896i | ||||
\(329\) | 1.38946 | + | 7.00033i | 0.0766036 | + | 0.385941i | ||||
\(330\) | −11.0726 | − | 9.41630i | −0.609525 | − | 0.518350i | ||||
\(331\) | 0.780623 | + | 3.42013i | 0.0429069 | + | 0.187988i | 0.991840 | − | 0.127491i | \(-0.0406923\pi\) |
−0.948933 | + | 0.315478i | \(0.897835\pi\) | |||||||
\(332\) | 2.44958 | + | 3.07168i | 0.134438 | + | 0.168580i | ||||
\(333\) | 10.3179 | + | 0.651667i | 0.565418 | + | 0.0357112i | ||||
\(334\) | 6.57221 | + | 5.24116i | 0.359615 | + | 0.286784i | ||||
\(335\) | −11.9292 | + | 5.74478i | −0.651759 | + | 0.313871i | ||||
\(336\) | −4.39850 | − | 1.28578i | −0.239958 | − | 0.0701448i | ||||
\(337\) | −1.66645 | − | 0.802519i | −0.0907771 | − | 0.0437160i | 0.387944 | − | 0.921683i | \(-0.373185\pi\) |
−0.478721 | + | 0.877967i | \(0.658900\pi\) | |||||||
\(338\) | 3.95584 | + | 8.21439i | 0.215169 | + | 0.446804i | ||||
\(339\) | 8.42392 | + | 0.265758i | 0.457525 | + | 0.0144340i | ||||
\(340\) | −5.76190 | + | 2.77479i | −0.312483 | + | 0.150484i | ||||
\(341\) | 12.4814 | + | 15.6511i | 0.675903 | + | 0.847556i | ||||
\(342\) | −2.30926 | + | 0.937709i | −0.124870 | + | 0.0507055i | ||||
\(343\) | 2.56637 | + | 18.3416i | 0.138571 | + | 0.990353i | ||||
\(344\) | 2.55493i | 0.137752i | ||||||||
\(345\) | 10.6693 | − | 12.5459i | 0.574415 | − | 0.675451i | ||||
\(346\) | −2.12708 | − | 4.41693i | −0.114353 | − | 0.237456i | ||||
\(347\) | 0.724949 | + | 0.165465i | 0.0389173 | + | 0.00888262i | 0.241935 | − | 0.970292i | \(-0.422218\pi\) |
−0.203018 | + | 0.979175i | \(0.565075\pi\) | |||||||
\(348\) | 5.34397 | + | 7.15268i | 0.286467 | + | 0.383424i | ||||
\(349\) | 5.19524 | − | 10.7880i | 0.278095 | − | 0.577470i | −0.714402 | − | 0.699735i | \(-0.753301\pi\) |
0.992498 | + | 0.122265i | \(0.0390157\pi\) | |||||||
\(350\) | 3.75343 | − | 7.25816i | 0.200629 | − | 0.387965i | ||||
\(351\) | −20.9168 | − | 12.6354i | −1.11646 | − | 0.674426i | ||||
\(352\) | −3.78435 | + | 4.74543i | −0.201707 | + | 0.252932i | ||||
\(353\) | −12.0433 | − | 5.79973i | −0.640999 | − | 0.308689i | 0.0850040 | − | 0.996381i | \(-0.472910\pi\) |
−0.726003 | + | 0.687692i | \(0.758624\pi\) | |||||||
\(354\) | −10.8490 | + | 12.7573i | −0.576619 | + | 0.678043i | ||||
\(355\) | −1.56182 | + | 0.356475i | −0.0828929 | + | 0.0189198i | ||||
\(356\) | −5.74690 | − | 7.20638i | −0.304585 | − | 0.381937i | ||||
\(357\) | −8.03529 | − | 19.6148i | −0.425273 | − | 1.03813i | ||||
\(358\) | 3.67548 | − | 4.60891i | 0.194255 | − | 0.243588i | ||||
\(359\) | −11.6948 | + | 24.2846i | −0.617230 | + | 1.28169i | 0.324680 | + | 0.945824i | \(0.394744\pi\) |
−0.941909 | + | 0.335867i | \(0.890971\pi\) | |||||||
\(360\) | 3.39942 | − | 2.37655i | 0.179165 | − | 0.125255i | ||||
\(361\) | 18.3098 | 0.963673 | ||||||||
\(362\) | 8.29717 | 0.436090 | ||||||||
\(363\) | −18.1381 | − | 40.9169i | −0.952005 | − | 2.14758i | ||||
\(364\) | 0.354078 | − | 12.4377i | 0.0185587 | − | 0.651911i | ||||
\(365\) | −18.3240 | − | 4.18233i | −0.959122 | − | 0.218913i | ||||
\(366\) | 0.386779 | − | 12.2600i | 0.0202173 | − | 0.640842i | ||||
\(367\) | 17.7763 | + | 14.1761i | 0.927915 | + | 0.739988i | 0.965798 | − | 0.259294i | \(-0.0834900\pi\) |
−0.0378830 | + | 0.999282i | \(0.512061\pi\) | |||||||
\(368\) | −5.37688 | − | 4.28792i | −0.280289 | − | 0.223523i | ||||
\(369\) | 1.72021 | + | 10.5704i | 0.0895508 | + | 0.550274i | ||||
\(370\) | −4.64517 | − | 1.06023i | −0.241491 | − | 0.0551187i | ||||
\(371\) | −16.6553 | − | 14.0759i | −0.864701 | − | 0.730783i | ||||
\(372\) | −5.22243 | + | 2.31506i | −0.270770 | + | 0.120030i | ||||
\(373\) | −9.45599 | −0.489613 | −0.244806 | − | 0.969572i | \(-0.578724\pi\) | ||||
−0.244806 | + | 0.969572i | \(0.578724\pi\) | |||||||
\(374\) | −28.0753 | −1.45174 | ||||||||
\(375\) | 7.84967 | + | 17.7077i | 0.405355 | + | 0.914421i | ||||
\(376\) | −1.17040 | + | 2.43036i | −0.0603586 | + | 0.125336i | ||||
\(377\) | −15.1152 | + | 18.9539i | −0.778475 | + | 0.976177i | ||||
\(378\) | 7.18723 | + | 11.7194i | 0.369671 | + | 0.602780i | ||||
\(379\) | −16.2076 | − | 20.3237i | −0.832528 | − | 1.04396i | −0.998328 | − | 0.0577977i | \(-0.981592\pi\) |
0.165800 | − | 0.986159i | \(-0.446979\pi\) | |||||||
\(380\) | 1.11985 | − | 0.255599i | 0.0574471 | − | 0.0131119i | ||||
\(381\) | −7.94371 | − | 6.75546i | −0.406968 | − | 0.346093i | ||||
\(382\) | 9.29022 | + | 4.47394i | 0.475329 | + | 0.228906i | ||||
\(383\) | 0.874932 | − | 1.09713i | 0.0447069 | − | 0.0560607i | −0.758975 | − | 0.651119i | \(-0.774300\pi\) |
0.803682 | + | 0.595059i | \(0.202871\pi\) | |||||||
\(384\) | −1.03668 | − | 1.38755i | −0.0529028 | − | 0.0708082i | ||||
\(385\) | −17.7457 | + | 13.3436i | −0.904403 | + | 0.680051i | ||||
\(386\) | 4.43882 | − | 9.21730i | 0.225930 | − | 0.469148i | ||||
\(387\) | 5.14714 | − | 5.67942i | 0.261644 | − | 0.288701i | ||||
\(388\) | 14.1854 | + | 3.23772i | 0.720153 | + | 0.164370i | ||||
\(389\) | −9.23029 | − | 19.1669i | −0.467994 | − | 0.971800i | −0.992711 | − | 0.120523i | \(-0.961543\pi\) |
0.524716 | − | 0.851277i | \(-0.324171\pi\) | |||||||
\(390\) | 8.57930 | + | 7.29598i | 0.434430 | + | 0.369446i | ||||
\(391\) | − | 31.8112i | − | 1.60876i | ||||||
\(392\) | −3.39106 | + | 6.12378i | −0.171274 | + | 0.309298i | ||||
\(393\) | 10.6947 | − | 2.08856i | 0.539477 | − | 0.105354i | ||||
\(394\) | −2.64495 | − | 3.31666i | −0.133251 | − | 0.167091i | ||||
\(395\) | −18.7632 | + | 9.03586i | −0.944077 | + | 0.454643i | ||||
\(396\) | 17.9725 | − | 2.92481i | 0.903150 | − | 0.146977i | ||||
\(397\) | −4.51275 | − | 9.37081i | −0.226488 | − | 0.470308i | 0.756496 | − | 0.653999i | \(-0.226910\pi\) |
−0.982984 | + | 0.183691i | \(0.941195\pi\) | |||||||
\(398\) | 17.3958 | + | 8.37738i | 0.871974 | + | 0.419920i | ||||
\(399\) | 0.623090 | + | 3.75584i | 0.0311935 | + | 0.188027i | ||||
\(400\) | 2.78259 | − | 1.34002i | 0.139129 | − | 0.0670012i | ||||
\(401\) | 22.6214 | + | 18.0400i | 1.12966 | + | 0.900873i | 0.995929 | − | 0.0901449i | \(-0.0287330\pi\) |
0.133730 | + | 0.991018i | \(0.457304\pi\) | |||||||
\(402\) | 4.19902 | − | 16.0467i | 0.209428 | − | 0.800334i | ||||
\(403\) | −9.67086 | − | 12.1269i | −0.481740 | − | 0.604083i | ||||
\(404\) | 2.30220 | + | 10.0866i | 0.114539 | + | 0.501826i | ||||
\(405\) | −12.3444 | − | 1.56557i | −0.613401 | − | 0.0777937i | ||||
\(406\) | 12.4513 | − | 5.56549i | 0.617950 | − | 0.276210i | ||||
\(407\) | −16.3535 | − | 13.0415i | −0.810613 | − | 0.646442i | ||||
\(408\) | 2.02817 | − | 7.75069i | 0.100409 | − | 0.383716i | ||||
\(409\) | 27.4471 | − | 6.26463i | 1.35717 | − | 0.309766i | 0.518816 | − | 0.854886i | \(-0.326373\pi\) |
0.838358 | + | 0.545120i | \(0.183516\pi\) | |||||||
\(410\) | − | 4.93561i | − | 0.243752i | ||||||
\(411\) | −7.41481 | − | 37.9683i | −0.365745 | − | 1.87284i | ||||
\(412\) | 11.7346 | − | 2.67835i | 0.578122 | − | 0.131953i | ||||
\(413\) | 15.3739 | + | 20.4457i | 0.756498 | + | 1.00607i | ||||
\(414\) | 3.31401 | + | 20.3640i | 0.162875 | + | 1.00084i | ||||
\(415\) | −1.20873 | + | 5.29578i | −0.0593340 | + | 0.259959i | ||||
\(416\) | 2.93221 | − | 3.67688i | 0.143763 | − | 0.180274i | ||||
\(417\) | −1.22839 | − | 0.640041i | −0.0601547 | − | 0.0313429i | ||||
\(418\) | 4.91619 | + | 1.12209i | 0.240459 | + | 0.0548831i | ||||
\(419\) | 3.80551 | − | 16.6730i | 0.185911 | − | 0.814531i | −0.792832 | − | 0.609441i | \(-0.791394\pi\) |
0.978743 | − | 0.205090i | \(-0.0657488\pi\) | |||||||
\(420\) | −2.40178 | − | 5.86295i | −0.117195 | − | 0.286083i | ||||
\(421\) | 8.47058 | + | 37.1120i | 0.412831 | + | 1.80873i | 0.570570 | + | 0.821249i | \(0.306722\pi\) |
−0.157739 | + | 0.987481i | \(0.550420\pi\) | |||||||
\(422\) | 7.04305i | 0.342850i | ||||||||
\(423\) | 7.49789 | − | 3.04463i | 0.364560 | − | 0.148035i | ||||
\(424\) | −1.83405 | − | 8.03549i | −0.0890692 | − | 0.390238i | ||||
\(425\) | 12.8710 | + | 6.19832i | 0.624333 | + | 0.300663i | ||||
\(426\) | 0.927343 | − | 1.77980i | 0.0449299 | − | 0.0862314i | ||||
\(427\) | −18.1410 | − | 4.68746i | −0.877904 | − | 0.226842i | ||||
\(428\) | 1.62625 | − | 1.29689i | 0.0786080 | − | 0.0626878i | ||||
\(429\) | 20.0365 | + | 45.1993i | 0.967369 | + | 2.18224i | ||||
\(430\) | −2.76176 | + | 2.20243i | −0.133184 | + | 0.106211i | ||||
\(431\) | 1.66281 | − | 3.45286i | 0.0800948 | − | 0.166319i | −0.857075 | − | 0.515191i | \(-0.827721\pi\) |
0.937170 | + | 0.348872i | \(0.113435\pi\) | |||||||
\(432\) | −0.490889 | + | 5.17291i | −0.0236179 | + | 0.248882i | ||||
\(433\) | 7.19915 | + | 14.9492i | 0.345969 | + | 0.718412i | 0.999251 | − | 0.0387030i | \(-0.0123226\pi\) |
−0.653282 | + | 0.757115i | \(0.726608\pi\) | |||||||
\(434\) | 1.69886 | + | 8.55910i | 0.0815478 | + | 0.410850i | ||||
\(435\) | −3.12504 | + | 11.9424i | −0.149834 | + | 0.572596i | ||||
\(436\) | 14.4935 | − | 6.97970i | 0.694113 | − | 0.334267i | ||||
\(437\) | −1.27140 | + | 5.57036i | −0.0608193 | + | 0.266467i | ||||
\(438\) | 18.8626 | − | 14.0928i | 0.901292 | − | 0.673381i | ||||
\(439\) | 12.5092 | − | 9.97577i | 0.597032 | − | 0.476117i | −0.277737 | − | 0.960657i | \(-0.589584\pi\) |
0.874769 | + | 0.484540i | \(0.161013\pi\) | |||||||
\(440\) | −8.39183 | −0.400065 | ||||||||
\(441\) | 19.8750 | − | 6.78112i | 0.946430 | − | 0.322910i | ||||
\(442\) | 21.7534 | 1.03471 | ||||||||
\(443\) | −8.87808 | + | 7.08003i | −0.421810 | + | 0.336383i | −0.811281 | − | 0.584656i | \(-0.801229\pi\) |
0.389471 | + | 0.921039i | \(0.372658\pi\) | |||||||
\(444\) | 4.78172 | − | 3.57256i | 0.226930 | − | 0.169546i | ||||
\(445\) | 2.83576 | − | 12.4243i | 0.134428 | − | 0.588967i | ||||
\(446\) | −14.4127 | + | 6.94077i | −0.682459 | + | 0.328655i | ||||
\(447\) | 5.25264 | − | 20.0731i | 0.248441 | − | 0.949425i | ||||
\(448\) | −2.41544 | + | 1.07965i | −0.114119 | + | 0.0510087i | ||||
\(449\) | −5.71113 | − | 11.8593i | −0.269525 | − | 0.559675i | 0.721646 | − | 0.692262i | \(-0.243386\pi\) |
−0.991171 | + | 0.132587i | \(0.957671\pi\) | |||||||
\(450\) | −8.88510 | − | 2.62701i | −0.418847 | − | 0.123838i | ||||
\(451\) | 9.40119 | − | 19.5218i | 0.442685 | − | 0.919244i | ||||
\(452\) | 3.80437 | − | 3.03389i | 0.178943 | − | 0.142702i | ||||
\(453\) | 0.0562104 | + | 0.126802i | 0.00264099 | + | 0.00595769i | ||||
\(454\) | −6.56182 | + | 5.23288i | −0.307962 | + | 0.245591i | ||||
\(455\) | 13.7498 | − | 10.3389i | 0.644599 | − | 0.484696i | ||||
\(456\) | −0.664920 | + | 1.27614i | −0.0311377 | + | 0.0597609i | ||||
\(457\) | 5.57952 | + | 2.68695i | 0.260999 | + | 0.125690i | 0.559808 | − | 0.828623i | \(-0.310875\pi\) |
−0.298809 | + | 0.954313i | \(0.596589\pi\) | |||||||
\(458\) | 5.89179 | + | 25.8136i | 0.275305 | + | 1.20619i | ||||
\(459\) | −20.1230 | + | 13.1433i | −0.939260 | + | 0.613477i | ||||
\(460\) | − | 9.50849i | − | 0.443336i | ||||||
\(461\) | 6.01050 | + | 26.3337i | 0.279937 | + | 1.22648i | 0.897872 | + | 0.440256i | \(0.145112\pi\) |
−0.617935 | + | 0.786229i | \(0.712031\pi\) | |||||||
\(462\) | 1.66782 | − | 27.7645i | 0.0775939 | − | 1.29172i | ||||
\(463\) | 3.18065 | − | 13.9354i | 0.147817 | − | 0.647631i | −0.845672 | − | 0.533704i | \(-0.820800\pi\) |
0.993489 | − | 0.113927i | \(-0.0363430\pi\) | |||||||
\(464\) | 5.02565 | + | 1.14707i | 0.233310 | + | 0.0532515i | ||||
\(465\) | −7.00438 | − | 3.64955i | −0.324820 | − | 0.169244i | ||||
\(466\) | −5.57436 | + | 6.99002i | −0.258227 | + | 0.323807i | ||||
\(467\) | 0.827790 | − | 3.62678i | 0.0383055 | − | 0.167828i | −0.952157 | − | 0.305609i | \(-0.901140\pi\) |
0.990463 | + | 0.137781i | \(0.0439971\pi\) | |||||||
\(468\) | −13.9255 | + | 2.26622i | −0.643707 | + | 0.104756i | ||||
\(469\) | −22.5058 | − | 11.6385i | −1.03922 | − | 0.537414i | ||||
\(470\) | −3.63602 | + | 0.829898i | −0.167717 | + | 0.0382804i | ||||
\(471\) | 0.577578 | + | 2.95755i | 0.0266134 | + | 0.136277i | ||||
\(472\) | 9.66868i | 0.445037i | ||||||||
\(473\) | −15.1187 | + | 3.45074i | −0.695157 | + | 0.158665i | ||||
\(474\) | 6.60456 | − | 25.2395i | 0.303358 | − | 1.15929i | ||||
\(475\) | −2.00607 | − | 1.59979i | −0.0920447 | − | 0.0734032i | ||||
\(476\) | −10.8705 | − | 5.62149i | −0.498249 | − | 0.257661i | ||||
\(477\) | −12.1113 | + | 21.5572i | −0.554538 | + | 0.987035i | ||||
\(478\) | 2.45905 | + | 10.7738i | 0.112474 | + | 0.492782i | ||||
\(479\) | −11.5472 | − | 14.4797i | −0.527605 | − | 0.661596i | 0.444600 | − | 0.895729i | \(-0.353346\pi\) |
−0.972204 | + | 0.234134i | \(0.924775\pi\) | |||||||
\(480\) | 0.606228 | − | 2.31672i | 0.0276704 | − | 0.105743i | ||||
\(481\) | 12.6711 | + | 10.1049i | 0.577752 | + | 0.460742i | ||||
\(482\) | 7.00783 | − | 3.37479i | 0.319198 | − | 0.153718i | ||||
\(483\) | 31.4590 | + | 1.88975i | 1.43143 | + | 0.0859864i | ||||
\(484\) | −23.2814 | − | 11.2118i | −1.05825 | − | 0.509625i | ||||
\(485\) | 8.72842 | + | 18.1247i | 0.396337 | + | 0.823002i | ||||
\(486\) | 11.5125 | − | 10.5101i | 0.522219 | − | 0.476747i | ||||
\(487\) | 8.99791 | − | 4.33317i | 0.407734 | − | 0.196354i | −0.218763 | − | 0.975778i | \(-0.570202\pi\) |
0.626497 | + | 0.779424i | \(0.284488\pi\) | |||||||
\(488\) | −4.41546 | − | 5.53681i | −0.199878 | − | 0.250640i | ||||
\(489\) | 30.9685 | − | 6.04781i | 1.40044 | − | 0.273491i | ||||
\(490\) | −9.54273 | + | 1.61331i | −0.431097 | + | 0.0728821i | ||||
\(491\) | 16.5398i | 0.746429i | 0.927745 | + | 0.373214i | \(0.121744\pi\) | ||||
−0.927745 | + | 0.373214i | \(0.878256\pi\) | |||||||
\(492\) | 4.71019 | + | 4.00562i | 0.212352 | + | 0.180588i | ||||
\(493\) | 10.3456 | + | 21.4828i | 0.465942 | + | 0.967538i | ||||
\(494\) | −3.80918 | − | 0.869421i | −0.171383 | − | 0.0391171i | ||||
\(495\) | 18.6544 | + | 16.9061i | 0.838454 | + | 0.759874i | ||||
\(496\) | −1.43101 | + | 2.97153i | −0.0642543 | + | 0.133426i | ||||
\(497\) | −2.34141 | − | 1.97879i | −0.105027 | − | 0.0887610i | ||||
\(498\) | −4.07293 | − | 5.45145i | −0.182513 | − | 0.244285i | ||||
\(499\) | −17.2470 | + | 21.6271i | −0.772083 | + | 0.968161i | −0.999985 | − | 0.00552287i | \(-0.998242\pi\) |
0.227902 | + | 0.973684i | \(0.426813\pi\) | |||||||
\(500\) | 10.0755 | + | 4.85213i | 0.450592 | + | 0.216994i | ||||
\(501\) | −11.0915 | − | 9.43239i | −0.495531 | − | 0.421408i | ||||
\(502\) | −23.4349 | + | 5.34887i | −1.04595 | + | 0.238732i | ||||
\(503\) | −1.52518 | − | 1.91251i | −0.0680043 | − | 0.0852747i | 0.746666 | − | 0.665199i | \(-0.231653\pi\) |
−0.814670 | + | 0.579925i | \(0.803082\pi\) | |||||||
\(504\) | 7.54441 | + | 2.46615i | 0.336055 | + | 0.109851i | ||||
\(505\) | −8.91857 | + | 11.1835i | −0.396871 | + | 0.497661i | ||||
\(506\) | 18.1115 | − | 37.6088i | 0.805152 | − | 1.67192i | ||||
\(507\) | −6.39968 | − | 14.4367i | −0.284220 | − | 0.641157i | ||||
\(508\) | −6.02049 | −0.267116 | ||||||||
\(509\) | −16.8173 | −0.745415 | −0.372707 | − | 0.927949i | \(-0.621571\pi\) | ||||
−0.372707 | + | 0.927949i | \(0.621571\pi\) | |||||||
\(510\) | 10.1265 | − | 4.48899i | 0.448408 | − | 0.198776i | ||||
\(511\) | −14.6770 | − | 32.8360i | −0.649272 | − | 1.45258i | ||||
\(512\) | −0.974928 | − | 0.222521i | −0.0430861 | − | 0.00983413i | ||||
\(513\) | 4.04898 | − | 1.49723i | 0.178767 | − | 0.0661043i | ||||
\(514\) | 18.7016 | + | 14.9140i | 0.824893 | + | 0.657830i | ||||
\(515\) | 13.0108 | + | 10.3757i | 0.573323 | + | 0.457210i | ||||
\(516\) | 0.139539 | − | 4.42306i | 0.00614285 | − | 0.194714i | ||||
\(517\) | −15.9623 | − | 3.64329i | −0.702020 | − | 0.160232i | ||||
\(518\) | −3.72064 | − | 8.32399i | −0.163476 | − | 0.365735i | ||||
\(519\) | 3.44115 | + | 7.76271i | 0.151050 | + | 0.340745i | ||||
\(520\) | 6.50220 | 0.285140 | ||||||||
\(521\) | 39.5633 | 1.73330 | 0.866651 | − | 0.498915i | \(-0.166268\pi\) | ||||
0.866651 | + | 0.498915i | \(0.166268\pi\) | |||||||
\(522\) | −8.86078 | − | 12.6745i | −0.387826 | − | 0.554748i | ||||
\(523\) | 6.56141 | − | 13.6249i | 0.286911 | − | 0.595776i | −0.706843 | − | 0.707370i | \(-0.749881\pi\) |
0.993754 | + | 0.111594i | \(0.0355957\pi\) | |||||||
\(524\) | 3.92253 | − | 4.91869i | 0.171356 | − | 0.214874i | ||||
\(525\) | −6.89431 | + | 12.3603i | −0.300892 | + | 0.539446i | ||||
\(526\) | 2.19117 | + | 2.74764i | 0.0955396 | + | 0.119803i | ||||
\(527\) | −14.8732 | + | 3.39471i | −0.647887 | + | 0.147876i | ||||
\(528\) | 6.81061 | − | 8.00856i | 0.296394 | − | 0.348528i | ||||
\(529\) | 21.8910 | + | 10.5421i | 0.951781 | + | 0.458354i | ||||
\(530\) | 7.10498 | − | 8.90937i | 0.308621 | − | 0.386998i | ||||
\(531\) | 19.4785 | − | 21.4928i | 0.845293 | − | 0.932707i | ||||
\(532\) | 1.67883 | + | 1.41883i | 0.0727865 | + | 0.0615139i | ||||
\(533\) | −7.28427 | + | 15.1259i | −0.315517 | + | 0.655177i | ||||
\(534\) | 9.55539 | + | 12.7895i | 0.413502 | + | 0.553455i | ||||
\(535\) | 2.80377 | + | 0.639942i | 0.121217 | + | 0.0276671i | ||||
\(536\) | −4.15508 | − | 8.62811i | −0.179472 | − | 0.372677i | ||||
\(537\) | −6.61468 | + | 7.77816i | −0.285444 | + | 0.335652i | ||||
\(538\) | 6.41418i | 0.276535i | ||||||||
\(539\) | −40.8172 | − | 11.7955i | −1.75812 | − | 0.508070i | ||||
\(540\) | −6.01484 | + | 3.92859i | −0.258838 | + | 0.169060i | ||||
\(541\) | −16.5668 | − | 20.7741i | −0.712263 | − | 0.893150i | 0.285609 | − | 0.958346i | \(-0.407804\pi\) |
−0.997872 | + | 0.0651963i | \(0.979233\pi\) | |||||||
\(542\) | 1.05532 | − | 0.508213i | 0.0453297 | − | 0.0218296i | ||||
\(543\) | −14.3640 | − | 0.453155i | −0.616417 | − | 0.0194467i | ||||
\(544\) | −2.00694 | − | 4.16746i | −0.0860470 | − | 0.178678i | ||||
\(545\) | 20.0386 | + | 9.65008i | 0.858359 | + | 0.413364i | ||||
\(546\) | −1.29227 | + | 21.5126i | −0.0553039 | + | 0.920655i | ||||
\(547\) | −42.0688 | + | 20.2593i | −1.79873 | + | 0.866224i | −0.873497 | + | 0.486829i | \(0.838154\pi\) |
−0.925235 | + | 0.379395i | \(0.876132\pi\) | |||||||
\(548\) | −17.4623 | − | 13.9257i | −0.745952 | − | 0.594877i | ||||
\(549\) | −1.33918 | + | 21.2033i | −0.0571546 | + | 0.904935i | ||||
\(550\) | 11.6877 | + | 14.6560i | 0.498367 | + | 0.624933i | ||||
\(551\) | −0.952981 | − | 4.17528i | −0.0405984 | − | 0.177873i | ||||
\(552\) | 9.07422 | + | 7.71687i | 0.386224 | + | 0.328452i | ||||
\(553\) | −35.3989 | − | 18.3059i | −1.50531 | − | 0.778447i | ||||
\(554\) | 19.4611 | + | 15.5197i | 0.826823 | + | 0.659369i | ||||
\(555\) | 7.98376 | + | 2.08916i | 0.338892 | + | 0.0886798i | ||||
\(556\) | −0.779659 | + | 0.177952i | −0.0330649 | + | 0.00754685i | ||||
\(557\) | 34.5348i | 1.46329i | 0.681688 | + | 0.731643i | \(0.261246\pi\) | ||||
−0.681688 | + | 0.731643i | \(0.738754\pi\) | |||||||
\(558\) | 9.16746 | − | 3.72258i | 0.388089 | − | 0.157590i | ||||
\(559\) | 11.7143 | − | 2.67371i | 0.495463 | − | 0.113086i | ||||
\(560\) | −3.24924 | − | 1.68029i | −0.137305 | − | 0.0710051i | ||||
\(561\) | 48.6037 | + | 1.53335i | 2.05205 | + | 0.0647380i | ||||
\(562\) | −3.38444 | + | 14.8282i | −0.142764 | + | 0.625491i | ||||
\(563\) | −16.1077 | + | 20.1984i | −0.678857 | + | 0.851260i | −0.995248 | − | 0.0973689i | \(-0.968957\pi\) |
0.316391 | + | 0.948629i | \(0.397529\pi\) | |||||||
\(564\) | 2.15891 | − | 4.14348i | 0.0909067 | − | 0.174472i | ||||
\(565\) | 6.55898 | + | 1.49704i | 0.275938 | + | 0.0629812i | ||||
\(566\) | 3.23694 | − | 14.1820i | 0.136059 | − | 0.596112i | ||||
\(567\) | −11.8024 | − | 20.6810i | −0.495654 | − | 0.868520i | ||||
\(568\) | −0.257831 | − | 1.12963i | −0.0108184 | − | 0.0473983i | ||||
\(569\) | 0.199932i | 0.00838160i | 0.999991 | + | 0.00419080i | \(0.00133398\pi\) | ||||
−0.999991 | + | 0.00419080i | \(0.998666\pi\) | |||||||
\(570\) | −1.95263 | + | 0.381328i | −0.0817868 | + | 0.0159721i | ||||
\(571\) | 10.1609 | + | 44.5177i | 0.425219 | + | 1.86301i | 0.500333 | + | 0.865833i | \(0.333211\pi\) |
−0.0751135 | + | 0.997175i | \(0.523932\pi\) | |||||||
\(572\) | 25.7181 | + | 12.3852i | 1.07533 | + | 0.517850i | ||||
\(573\) | −15.8388 | − | 8.25262i | −0.661675 | − | 0.344758i | ||||
\(574\) | 7.54888 | − | 5.67626i | 0.315084 | − | 0.236923i | ||||
\(575\) | −16.6062 | + | 13.2430i | −0.692525 | + | 0.552271i | ||||
\(576\) | 1.71891 | + | 2.45873i | 0.0716211 | + | 0.102447i | ||||
\(577\) | 22.9857 | − | 18.3305i | 0.956906 | − | 0.763107i | −0.0146558 | − | 0.999893i | \(-0.504665\pi\) |
0.971562 | + | 0.236785i | \(0.0760938\pi\) | |||||||
\(578\) | 1.90717 | − | 3.96027i | 0.0793276 | − | 0.164726i | ||||
\(579\) | −8.18784 | + | 15.7145i | −0.340275 | + | 0.653071i | ||||
\(580\) | 3.09234 | + | 6.42131i | 0.128402 | + | 0.266630i | ||||
\(581\) | −9.48985 | + | 4.24176i | −0.393705 | + | 0.175978i | ||||
\(582\) | −24.3807 | − | 6.37984i | −1.01061 | − | 0.264453i | ||||
\(583\) | 45.0725 | − | 21.7058i | 1.86671 | − | 0.898962i | ||||
\(584\) | 3.02499 | − | 13.2534i | 0.125175 | − | 0.548428i | ||||
\(585\) | −14.4539 | − | 13.0993i | −0.597596 | − | 0.541589i | ||||
\(586\) | −3.20037 | + | 2.55221i | −0.132206 | + | 0.105431i | ||||
\(587\) | −1.85828 | −0.0766994 | −0.0383497 | − | 0.999264i | \(-0.512210\pi\) | ||||
−0.0383497 | + | 0.999264i | \(0.512210\pi\) | |||||||
\(588\) | 6.20502 | − | 10.4162i | 0.255891 | − | 0.429558i | ||||
\(589\) | 2.74008 | 0.112903 | ||||||||
\(590\) | −10.4514 | + | 8.33471i | −0.430277 | + | 0.343135i | ||||
\(591\) | 4.39777 | + | 5.88623i | 0.180900 | + | 0.242127i | ||||
\(592\) | 0.766842 | − | 3.35975i | 0.0315170 | − | 0.138085i | ||||
\(593\) | −19.6723 | + | 9.47366i | −0.807843 | + | 0.389037i | −0.791759 | − | 0.610834i | \(-0.790834\pi\) |
−0.0160844 | + | 0.999871i | \(0.505120\pi\) | |||||||
\(594\) | −31.2735 | + | 4.08183i | −1.28317 | + | 0.167480i | ||||
\(595\) | −3.29415 | − | 16.5964i | −0.135047 | − | 0.680387i | ||||
\(596\) | −5.19767 | − | 10.7931i | −0.212905 | − | 0.442102i | ||||
\(597\) | −29.6579 | − | 15.4529i | −1.21382 | − | 0.632446i | ||||
\(598\) | −14.0332 | + | 29.1402i | −0.573860 | + | 1.19163i | ||||
\(599\) | −20.3117 | + | 16.1981i | −0.829915 | + | 0.661835i | −0.943383 | − | 0.331706i | \(-0.892376\pi\) |
0.113467 | + | 0.993542i | \(0.463804\pi\) | |||||||
\(600\) | −4.89037 | + | 2.16786i | −0.199649 | + | 0.0885026i | ||||
\(601\) | 1.73478 | − | 1.38344i | 0.0707633 | − | 0.0564319i | −0.587469 | − | 0.809246i | \(-0.699876\pi\) |
0.658233 | + | 0.752815i | \(0.271304\pi\) | |||||||
\(602\) | −6.54475 | − | 1.69110i | −0.266744 | − | 0.0689241i | ||||
\(603\) | −8.14569 | + | 27.5505i | −0.331718 | + | 1.12194i | ||||
\(604\) | 0.0721495 | + | 0.0347454i | 0.00293572 | + | 0.00141377i | ||||
\(605\) | −7.94996 | − | 34.8311i | −0.323212 | − | 1.41608i | ||||
\(606\) | −3.43465 | − | 17.5875i | −0.139523 | − | 0.714444i | ||||
\(607\) | − | 3.37845i | − | 0.137127i | −0.997647 | − | 0.0685635i | \(-0.978158\pi\) | ||
0.997647 | − | 0.0685635i | \(-0.0218416\pi\) | |||||||
\(608\) | 0.184869 | + | 0.809965i | 0.00749743 | + | 0.0328484i | ||||
\(609\) | −21.8596 | + | 8.95487i | −0.885796 | + | 0.362870i | ||||
\(610\) | 2.17877 | − | 9.54582i | 0.0882159 | − | 0.386499i | ||||
\(611\) | 12.3680 | + | 2.82291i | 0.500354 | + | 0.114203i | ||||
\(612\) | −3.93445 | + | 13.3071i | −0.159041 | + | 0.537910i | ||||
\(613\) | 10.8275 | − | 13.5772i | 0.437318 | − | 0.548379i | −0.513516 | − | 0.858080i | \(-0.671657\pi\) |
0.950834 | + | 0.309701i | \(0.100229\pi\) | |||||||
\(614\) | 1.54069 | − | 6.75022i | 0.0621774 | − | 0.272417i | ||||
\(615\) | −0.269561 | + | 8.54448i | −0.0108698 | + | 0.344547i | ||||
\(616\) | −9.65113 | − | 12.8351i | −0.388855 | − | 0.517140i | ||||
\(617\) | 23.2938 | − | 5.31666i | 0.937774 | − | 0.214041i | 0.273792 | − | 0.961789i | \(-0.411722\pi\) |
0.663982 | + | 0.747748i | \(0.268865\pi\) | |||||||
\(618\) | −20.4611 | + | 3.99583i | −0.823066 | + | 0.160736i | ||||
\(619\) | 10.3257i | 0.415025i | 0.978232 | + | 0.207512i | \(0.0665367\pi\) | ||||
−0.978232 | + | 0.207512i | \(0.933463\pi\) | |||||||
\(620\) | −4.44566 | + | 1.01469i | −0.178542 | + | 0.0407511i | ||||
\(621\) | −4.62498 | − | 35.4349i | −0.185594 | − | 1.42195i | ||||
\(622\) | −10.9177 | − | 8.70655i | −0.437758 | − | 0.349101i | ||||
\(623\) | 22.2639 | − | 9.95147i | 0.891983 | − | 0.398697i | ||||
\(624\) | −5.27703 | + | 6.20523i | −0.211250 | + | 0.248408i | ||||
\(625\) | 0.00430567 | + | 0.0188644i | 0.000172227 | + | 0.000754575i | ||||
\(626\) | 10.6114 | + | 13.3063i | 0.424118 | + | 0.531827i | ||||
\(627\) | −8.44957 | − | 2.21105i | −0.337443 | − | 0.0883007i | ||||
\(628\) | 1.36023 | + | 1.08475i | 0.0542791 | + | 0.0432861i | ||||
\(629\) | 14.3617 | − | 6.91624i | 0.572640 | − | 0.275769i | ||||
\(630\) | 3.83773 | + | 10.2811i | 0.152899 | + | 0.409607i | ||||
\(631\) | 33.6812 | + | 16.2200i | 1.34083 | + | 0.645708i | 0.960276 | − | 0.279052i | \(-0.0900201\pi\) |
0.380551 | + | 0.924760i | \(0.375734\pi\) | |||||||
\(632\) | −6.53545 | − | 13.5710i | −0.259966 | − | 0.539825i | ||||
\(633\) | 0.384660 | − | 12.1929i | 0.0152889 | − | 0.484623i | ||||
\(634\) | 6.15446 | − | 2.96383i | 0.244425 | − | 0.117709i | ||||
\(635\) | −5.18985 | − | 6.50787i | −0.205953 | − | 0.258257i | ||||
\(636\) | 2.73622 | + | 14.0111i | 0.108498 | + | 0.555577i | ||||
\(637\) | 31.6262 | + | 9.13948i | 1.25308 | + | 0.362119i | ||||
\(638\) | 31.2883i | 1.23872i | ||||||||
\(639\) | −1.70261 | + | 3.03052i | −0.0673542 | + | 0.119885i | ||||
\(640\) | −0.599884 | − | 1.24567i | −0.0237125 | − | 0.0492395i | ||||
\(641\) | 23.6755 | + | 5.40378i | 0.935126 | + | 0.213436i | 0.662824 | − | 0.748775i | \(-0.269358\pi\) |
0.272302 | + | 0.962212i | \(0.412215\pi\) | |||||||
\(642\) | −2.88619 | + | 2.15635i | −0.113909 | + | 0.0851044i | ||||
\(643\) | −15.9437 | + | 33.1074i | −0.628757 | + | 1.30563i | 0.306572 | + | 0.951848i | \(0.400818\pi\) |
−0.935329 | + | 0.353780i | \(0.884896\pi\) | |||||||
\(644\) | 14.5430 | − | 10.9354i | 0.573073 | − | 0.430913i | ||||
\(645\) | 4.90141 | − | 3.66199i | 0.192993 | − | 0.144191i | ||||
\(646\) | −2.39599 | + | 3.00448i | −0.0942689 | + | 0.118209i | ||||
\(647\) | 26.0330 | + | 12.5368i | 1.02346 | + | 0.492874i | 0.868836 | − | 0.495099i | \(-0.164868\pi\) |
0.154626 | + | 0.987973i | \(0.450583\pi\) | |||||||
\(648\) | 1.13234 | − | 8.92848i | 0.0444826 | − | 0.350744i | ||||
\(649\) | −57.2140 | + | 13.0587i | −2.24585 | + | 0.512600i | ||||
\(650\) | −9.05596 | − | 11.3558i | −0.355204 | − | 0.445412i | ||||
\(651\) | −2.47359 | − | 14.9102i | −0.0969475 | − | 0.584377i | ||||
\(652\) | 11.3584 | − | 14.2429i | 0.444828 | − | 0.557797i | ||||
\(653\) | 7.58709 | − | 15.7548i | 0.296906 | − | 0.616531i | −0.698139 | − | 0.715963i | \(-0.745988\pi\) |
0.995044 | + | 0.0994314i | \(0.0317024\pi\) | |||||||
\(654\) | −25.4722 | + | 11.2916i | −0.996041 | + | 0.441537i | ||||
\(655\) | 8.69822 | 0.339868 | ||||||||
\(656\) | 3.56982 | 0.139378 | ||||||||
\(657\) | −33.4245 | + | 23.3671i | −1.30401 | + | 0.911639i | ||||
\(658\) | −5.45096 | − | 4.60676i | −0.212501 | − | 0.179590i | ||||
\(659\) | −19.0078 | − | 4.33840i | −0.740438 | − | 0.169000i | −0.164366 | − | 0.986399i | \(-0.552558\pi\) |
−0.576072 | + | 0.817399i | \(0.695415\pi\) | |||||||
\(660\) | 14.5278 | + | 0.458324i | 0.565496 | + | 0.0178403i | ||||
\(661\) | −32.3616 | − | 25.8076i | −1.25872 | − | 1.00380i | −0.999276 | − | 0.0380399i | \(-0.987889\pi\) |
−0.259446 | − | 0.965758i | \(-0.583540\pi\) | |||||||
\(662\) | −2.74273 | − | 2.18726i | −0.106599 | − | 0.0850102i | ||||
\(663\) | −37.6593 | − | 1.18808i | −1.46257 | − | 0.0461411i | ||||
\(664\) | −3.83032 | − | 0.874247i | −0.148645 | − | 0.0339273i | ||||
\(665\) | −0.0864809 | + | 3.03781i | −0.00335359 | + | 0.117801i | ||||
\(666\) | −8.47317 | + | 5.92362i | −0.328329 | + | 0.229536i | ||||
\(667\) | −35.4517 | −1.37270 | ||||||||
\(668\) | −8.40618 | −0.325245 | ||||||||
\(669\) | 25.3301 | − | 11.2286i | 0.979319 | − | 0.434124i | ||||
\(670\) | 5.74478 | − | 11.9292i | 0.221940 | − | 0.460863i | ||||
\(671\) | 26.8002 | − | 33.6064i | 1.03461 | − | 1.29736i | ||||
\(672\) | 4.24055 | − | 1.73716i | 0.163583 | − | 0.0670124i | ||||
\(673\) | −17.9759 | − | 22.5411i | −0.692920 | − | 0.868894i | 0.303553 | − | 0.952815i | \(-0.401827\pi\) |
−0.996472 | + | 0.0839208i | \(0.973256\pi\) | |||||||
\(674\) | 1.80324 | − | 0.411578i | 0.0694583 | − | 0.0158534i | ||||
\(675\) | 15.2383 | + | 5.03311i | 0.586523 | + | 0.193725i | ||||
\(676\) | −8.21439 | − | 3.95584i | −0.315938 | − | 0.152148i | ||||
\(677\) | −29.3180 | + | 36.7636i | −1.12678 | + | 1.41294i | −0.228486 | + | 0.973547i | \(0.573377\pi\) |
−0.898296 | + | 0.439392i | \(0.855194\pi\) | |||||||
\(678\) | −6.75179 | + | 5.04445i | −0.259301 | + | 0.193731i | ||||
\(679\) | −17.6831 | + | 34.1945i | −0.678614 | + | 1.31226i | ||||
\(680\) | 2.77479 | − | 5.76190i | 0.106408 | − | 0.220959i | ||||
\(681\) | 11.6456 | − | 8.70073i | 0.446259 | − | 0.333413i | ||||
\(682\) | −19.5166 | − | 4.45454i | −0.747331 | − | 0.170573i | ||||
\(683\) | −6.92481 | − | 14.3795i | −0.264971 | − | 0.550217i | 0.725454 | − | 0.688270i | \(-0.241630\pi\) |
−0.990425 | + | 0.138053i | \(0.955915\pi\) | |||||||
\(684\) | 1.22080 | − | 2.17293i | 0.0466784 | − | 0.0830840i | ||||
\(685\) | − | 30.8804i | − | 1.17988i | ||||||
\(686\) | −13.4423 | − | 12.7399i | −0.513228 | − | 0.486413i | ||||
\(687\) | −8.78998 | − | 45.0100i | −0.335359 | − | 1.71724i | ||||
\(688\) | −1.59297 | − | 1.99752i | −0.0607314 | − | 0.0761548i | ||||
\(689\) | −34.9233 | + | 16.8182i | −1.33047 | + | 0.640722i | ||||
\(690\) | −0.519312 | + | 16.4610i | −0.0197699 | + | 0.626659i | ||||
\(691\) | −0.799031 | − | 1.65921i | −0.0303966 | − | 0.0631191i | 0.885218 | − | 0.465177i | \(-0.154009\pi\) |
−0.915614 | + | 0.402058i | \(0.868295\pi\) | |||||||
\(692\) | 4.41693 | + | 2.12708i | 0.167906 | + | 0.0808595i | ||||
\(693\) | −4.40368 | + | 47.9745i | −0.167282 | + | 1.82240i | ||||
\(694\) | −0.669953 | + | 0.322632i | −0.0254311 | + | 0.0122470i | ||||
\(695\) | −0.864449 | − | 0.689375i | −0.0327904 | − | 0.0261495i | ||||
\(696\) | −8.63771 | − | 2.26028i | −0.327412 | − | 0.0856756i | ||||
\(697\) | 10.2953 | + | 12.9099i | 0.389961 | + | 0.488996i | ||||
\(698\) | 2.66443 | + | 11.6736i | 0.100850 | + | 0.441853i | ||||
\(699\) | 10.0320 | − | 11.7966i | 0.379446 | − | 0.446189i | ||||
\(700\) | 1.59084 | + | 8.01489i | 0.0601281 | + | 0.302934i | ||||
\(701\) | 5.66440 | + | 4.51721i | 0.213941 | + | 0.170613i | 0.724597 | − | 0.689173i | \(-0.242026\pi\) |
−0.510656 | + | 0.859785i | \(0.670597\pi\) | |||||||
\(702\) | 24.2315 | − | 3.16270i | 0.914558 | − | 0.119369i | ||||
\(703\) | −2.79126 | + | 0.637088i | −0.105275 | + | 0.0240282i | ||||
\(704\) | − | 6.06963i | − | 0.228758i | ||||||
\(705\) | 6.33997 | − | 1.23813i | 0.238777 | − | 0.0466306i | ||||
\(706\) | 13.0319 | − | 2.97444i | 0.490461 | − | 0.111945i | ||||
\(707\) | −27.3618 | − | 0.778940i | −1.02905 | − | 0.0292951i | ||||
\(708\) | 0.528061 | − | 16.7383i | 0.0198457 | − | 0.629064i | ||||
\(709\) | 0.312107 | − | 1.36743i | 0.0117214 | − | 0.0513549i | −0.968729 | − | 0.248121i | \(-0.920187\pi\) |
0.980450 | + | 0.196766i | \(0.0630440\pi\) | |||||||
\(710\) | 0.998822 | − | 1.25248i | 0.0374851 | − | 0.0470049i | ||||
\(711\) | −12.8122 | + | 43.3336i | −0.480496 | + | 1.62514i | ||||
\(712\) | 8.98621 | + | 2.05104i | 0.336773 | + | 0.0768661i | ||||
\(713\) | 5.04729 | − | 22.1136i | 0.189023 | − | 0.828162i | ||||
\(714\) | 18.5119 | + | 10.3256i | 0.692790 | + | 0.386424i | ||||
\(715\) | 8.78200 | + | 38.4764i | 0.328428 | + | 1.43894i | ||||
\(716\) | 5.89502i | 0.220307i | ||||||||
\(717\) | −3.66867 | − | 18.7858i | −0.137009 | − | 0.701569i | ||||
\(718\) | −5.99780 | − | 26.2781i | −0.223836 | − | 0.980688i | ||||
\(719\) | −45.0298 | − | 21.6852i | −1.67933 | − | 0.808723i | −0.996977 | − | 0.0777000i | \(-0.975242\pi\) |
−0.682353 | − | 0.731023i | \(-0.739043\pi\) | |||||||
\(720\) | −1.17602 | + | 3.97756i | −0.0438278 | + | 0.148235i | ||||
\(721\) | −0.906209 | + | 31.8324i | −0.0337490 | + | 1.18550i | ||||
\(722\) | −14.3152 | + | 11.4160i | −0.532755 | + | 0.424858i | ||||
\(723\) | −12.3162 | + | 5.45967i | −0.458044 | + | 0.203047i | ||||
\(724\) | −6.48699 | + | 5.17320i | −0.241087 | + | 0.192261i | ||||
\(725\) | 6.90768 | − | 14.3439i | 0.256545 | − | 0.532721i | ||||
\(726\) | 39.6923 | + | 20.6812i | 1.47312 | + | 0.767551i | ||||
\(727\) | 14.5220 | + | 30.1553i | 0.538592 | + | 1.11840i | 0.975725 | + | 0.219001i | \(0.0702799\pi\) |
−0.437132 | + | 0.899397i | \(0.644006\pi\) | |||||||
\(728\) | 7.47793 | + | 9.94493i | 0.277151 | + | 0.368583i | ||||
\(729\) | −20.5044 | + | 17.5662i | −0.759422 | + | 0.650599i | ||||
\(730\) | 16.9339 | − | 8.15495i | 0.626753 | − | 0.301828i | ||||
\(731\) | 2.62973 | − | 11.5216i | 0.0972641 | − | 0.426142i | ||||
\(732\) | 7.34160 | + | 9.82642i | 0.271353 | + | 0.363195i | ||||
\(733\) | −5.64315 | + | 4.50026i | −0.208434 | + | 0.166221i | −0.722143 | − | 0.691744i | \(-0.756843\pi\) |
0.513709 | + | 0.857965i | \(0.328271\pi\) | |||||||
\(734\) | −22.7367 | −0.839228 | ||||||||
\(735\) | 16.6084 | − | 2.27177i | 0.612610 | − | 0.0837956i | ||||
\(736\) | 6.87729 | 0.253500 | ||||||||
\(737\) | 45.4445 | − | 36.2408i | 1.67397 | − | 1.33495i | ||||
\(738\) | −7.93546 | − | 7.19175i | −0.292108 | − | 0.264732i | ||||
\(739\) | 10.2150 | − | 44.7547i | 0.375764 | − | 1.64633i | −0.334501 | − | 0.942395i | \(-0.608568\pi\) |
0.710265 | − | 0.703934i | \(-0.248575\pi\) | |||||||
\(740\) | 4.29278 | − | 2.06729i | 0.157806 | − | 0.0759953i | ||||
\(741\) | 6.54694 | + | 1.71317i | 0.240508 | + | 0.0629350i | ||||
\(742\) | 21.7978 | + | 0.620544i | 0.800223 | + | 0.0227809i | ||||
\(743\) | 0.569921 | + | 1.18345i | 0.0209084 | + | 0.0434167i | 0.911161 | − | 0.412049i | \(-0.135187\pi\) |
−0.890253 | + | 0.455466i | \(0.849473\pi\) | |||||||
\(744\) | 2.63964 | − | 5.06612i | 0.0967741 | − | 0.185733i | ||||
\(745\) | 7.18626 | − | 14.9224i | 0.263284 | − | 0.546715i | ||||
\(746\) | 7.39299 | − | 5.89571i | 0.270677 | − | 0.215857i | ||||
\(747\) | 6.75329 | + | 9.65994i | 0.247090 | + | 0.353439i | ||||
\(748\) | 21.9502 | − | 17.5047i | 0.802577 | − | 0.640034i | ||||
\(749\) | 2.24574 | + | 5.02426i | 0.0820574 | + | 0.183582i | ||||
\(750\) | −17.1777 | − | 8.95023i | −0.627240 | − | 0.326816i | ||||
\(751\) | −18.9268 | − | 9.11468i | −0.690649 | − | 0.332599i | 0.0554240 | − | 0.998463i | \(-0.482349\pi\) |
−0.746073 | + | 0.665864i | \(0.768063\pi\) | |||||||
\(752\) | −0.600248 | − | 2.62986i | −0.0218888 | − | 0.0959011i | ||||
\(753\) | 40.8624 | − | 7.97999i | 1.48911 | − | 0.290807i | ||||
\(754\) | − | 24.2430i | − | 0.882877i | ||||||
\(755\) | 0.0246371 | + | 0.107942i | 0.000896634 | + | 0.00392841i | ||||
\(756\) | −12.9261 | − | 4.68141i | −0.470118 | − | 0.170261i | ||||
\(757\) | 1.27098 | − | 5.56851i | 0.0461944 | − | 0.202391i | −0.946565 | − | 0.322514i | \(-0.895472\pi\) |
0.992759 | + | 0.120123i | \(0.0383290\pi\) | |||||||
\(758\) | 25.3432 | + | 5.78442i | 0.920507 | + | 0.210100i | ||||
\(759\) | −33.4084 | + | 64.1188i | −1.21265 | + | 2.32737i | ||||
\(760\) | −0.716171 | + | 0.898051i | −0.0259783 | + | 0.0325757i | ||||
\(761\) | 0.858326 | − | 3.76057i | 0.0311143 | − | 0.136321i | −0.956985 | − | 0.290137i | \(-0.906299\pi\) |
0.988099 | + | 0.153816i | \(0.0491563\pi\) | |||||||
\(762\) | 10.4226 | + | 0.328812i | 0.377571 | + | 0.0119116i | ||||
\(763\) | 8.28611 | + | 41.7467i | 0.299977 | + | 1.51133i | ||||
\(764\) | −10.0528 | + | 2.29450i | −0.363699 | + | 0.0830119i | ||||
\(765\) | −17.7760 | + | 7.21823i | −0.642694 | + | 0.260976i | ||||
\(766\) | 1.40328i | 0.0507026i | ||||||||
\(767\) | 44.3308 | − | 10.1182i | 1.60069 | − | 0.365348i | ||||
\(768\) | 1.67563 | + | 0.438472i | 0.0604642 | + | 0.0158220i | ||||
\(769\) | 22.4353 | + | 17.8916i | 0.809038 | + | 0.645186i | 0.938067 | − | 0.346454i | \(-0.112614\pi\) |
−0.129029 | + | 0.991641i | \(0.541186\pi\) | |||||||
\(770\) | 5.55454 | − | 21.4967i | 0.200172 | − | 0.774686i | ||||
\(771\) | −31.5615 | − | 26.8404i | −1.13666 | − | 0.966635i | ||||
\(772\) | 2.27648 | + | 9.97393i | 0.0819325 | + | 0.358970i | ||||
\(773\) | −28.2228 | − | 35.3903i | −1.01511 | − | 1.27290i | −0.961635 | − | 0.274332i | \(-0.911543\pi\) |
−0.0534701 | − | 0.998569i | \(-0.517028\pi\) | |||||||
\(774\) | −0.483136 | + | 7.64954i | −0.0173660 | + | 0.274957i | ||||
\(775\) | 7.96383 | + | 6.35094i | 0.286069 | + | 0.228133i | ||||
\(776\) | −13.1092 | + | 6.31308i | −0.470595 | + | 0.226626i | ||||
\(777\) | 5.98652 | + | 14.6136i | 0.214765 | + | 0.524260i | ||||
\(778\) | 19.1669 | + | 9.23029i | 0.687167 | + | 0.330922i | ||||
\(779\) | −1.28681 | − | 2.67208i | −0.0461047 | − | 0.0957373i | ||||
\(780\) | −11.2565 | − | 0.355121i | −0.403049 | − | 0.0127154i | ||||
\(781\) | 6.33632 | − | 3.05141i | 0.226731 | − | 0.109188i | ||||
\(782\) | 19.8339 | + | 24.8710i | 0.709260 | + | 0.889384i | ||||
\(783\) | 14.6475 | + | 22.4259i | 0.523458 | + | 0.801437i | ||||
\(784\) | −1.16688 | − | 6.90206i | −0.0416742 | − | 0.246502i | ||||
\(785\) | 2.40543i | 0.0858535i | ||||||||
\(786\) | −7.05927 | + | 8.30096i | −0.251796 | + | 0.296085i | ||||
\(787\) | −0.198716 | − | 0.412637i | −0.00708345 | − | 0.0147089i | 0.897397 | − | 0.441224i | \(-0.145455\pi\) |
−0.904481 | + | 0.426515i | \(0.859741\pi\) | |||||||
\(788\) | 4.13581 | + | 0.943972i | 0.147332 | + | 0.0336276i | ||||
\(789\) | −3.64327 | − | 4.87636i | −0.129704 | − | 0.173603i | ||||
\(790\) | 9.03586 | − | 18.7632i | 0.321481 | − | 0.667563i | ||||
\(791\) | 5.25355 | + | 11.7535i | 0.186795 | + | 0.417905i | ||||
\(792\) | −12.2278 | + | 13.4924i | −0.434498 | + | 0.479430i | ||||
\(793\) | −20.7655 | + | 26.0391i | −0.737404 | + | 0.924675i | ||||
\(794\) | 9.37081 | + | 4.51275i | 0.332558 | + | 0.160151i | ||||
\(795\) | −12.7867 | + | 15.0358i | −0.453496 | + | 0.533264i | ||||
\(796\) | −18.8238 | + | 4.29641i | −0.667192 | + | 0.152282i | ||||
\(797\) | 8.30571 | + | 10.4150i | 0.294203 | + | 0.368919i | 0.906862 | − | 0.421429i | \(-0.138471\pi\) |
−0.612658 | + | 0.790348i | \(0.709900\pi\) | |||||||
\(798\) | −2.82888 | − | 2.54795i | −0.100141 | − | 0.0901963i | ||||
\(799\) | 7.77949 | − | 9.75517i | 0.275219 | − | 0.345113i | ||||
\(800\) | −1.34002 | + | 2.78259i | −0.0473770 | + | 0.0983793i | ||||
\(801\) | −15.8437 | − | 22.6629i | −0.559809 | − | 0.800754i | ||||
\(802\) | −28.9339 | −1.02169 | ||||||||
\(803\) | 82.5118 | 2.91178 | ||||||||
\(804\) | 6.72200 | + | 15.1638i | 0.237067 | + | 0.534787i | ||||
\(805\) | 24.3571 | + | 6.29365i | 0.858476 | + | 0.221822i | ||||
\(806\) | 15.1220 | + | 3.45149i | 0.532649 | + | 0.121574i | ||||
\(807\) | 0.350314 | − | 11.1042i | 0.0123316 | − | 0.390885i | ||||
\(808\) | −8.08881 | − | 6.45061i | −0.284563 | − | 0.226932i | ||||
\(809\) | −7.87011 | − | 6.27621i | −0.276698 | − | 0.220660i | 0.475301 | − | 0.879823i | \(-0.342339\pi\) |
−0.752000 | + | 0.659163i | \(0.770911\pi\) | |||||||
\(810\) | 10.6274 | − | 6.47263i | 0.373409 | − | 0.227425i | ||||
\(811\) | 7.95750 | + | 1.81625i | 0.279426 | + | 0.0637771i | 0.359937 | − | 0.932977i | \(-0.382798\pi\) |
−0.0805113 | + | 0.996754i | \(0.525655\pi\) | |||||||
\(812\) | −6.26483 | + | 12.1146i | −0.219853 | + | 0.425138i | ||||
\(813\) | −1.85471 | + | 0.822177i | −0.0650475 | + | 0.0288350i | ||||
\(814\) | 20.9169 | 0.733137 | ||||||||
\(815\) | 25.1872 | 0.882271 | ||||||||
\(816\) | 3.24679 | + | 7.32428i | 0.113660 | + | 0.256401i | ||||
\(817\) | −0.920969 | + | 1.91241i | −0.0322206 | + | 0.0669069i | ||||
\(818\) | −17.5531 | + | 22.0109i | −0.613730 | + | 0.769593i | ||||
\(819\) | 3.41208 | − | 37.1719i | 0.119228 | − | 1.29889i | ||||
\(820\) | 3.07730 | + | 3.85882i | 0.107464 | + | 0.134756i | ||||
\(821\) | −33.4681 | + | 7.63887i | −1.16804 | + | 0.266598i | −0.762198 | − | 0.647344i | \(-0.775880\pi\) |
−0.405845 | + | 0.913942i | \(0.633023\pi\) | |||||||
\(822\) | 29.4700 | + | 25.0618i | 1.02788 | + | 0.874130i | ||||
\(823\) | −25.1416 | − | 12.1075i | −0.876380 | − | 0.422042i | −0.0590788 | − | 0.998253i | \(-0.518816\pi\) |
−0.817301 | + | 0.576211i | \(0.804531\pi\) | |||||||
\(824\) | −7.50456 | + | 9.41042i | −0.261434 | + | 0.327827i | ||||
\(825\) | −19.4333 | − | 26.0106i | −0.676579 | − | 0.905573i | ||||
\(826\) | −24.7675 | − | 6.39968i | −0.861771 | − | 0.222673i | ||||
\(827\) | 21.0682 | − | 43.7485i | 0.732612 | − | 1.52128i | −0.116570 | − | 0.993182i | \(-0.537190\pi\) |
0.849181 | − | 0.528101i | \(-0.177096\pi\) | |||||||
\(828\) | −15.2877 | − | 13.8550i | −0.531285 | − | 0.481493i | ||||
\(829\) | −7.49540 | − | 1.71078i | −0.260326 | − | 0.0594177i | 0.0903658 | − | 0.995909i | \(-0.471196\pi\) |
−0.350692 | + | 0.936491i | \(0.614054\pi\) | |||||||
\(830\) | −2.35684 | − | 4.89403i | −0.0818072 | − | 0.169874i | ||||
\(831\) | −32.8432 | − | 27.9304i | −1.13932 | − | 0.968896i | ||||
\(832\) | 4.70290i | 0.163044i | ||||||||
\(833\) | 21.5953 | − | 24.1252i | 0.748232 | − | 0.835890i | ||||
\(834\) | 1.35946 | − | 0.265487i | 0.0470741 | − | 0.00919307i | ||||
\(835\) | −7.24639 | − | 9.08669i | −0.250772 | − | 0.314458i | ||||
\(836\) | −4.54324 | + | 2.18791i | −0.157131 | + | 0.0756704i | ||||
\(837\) | −16.0739 | + | 5.94381i | −0.555596 | + | 0.205448i | ||||
\(838\) | 7.42020 | + | 15.4082i | 0.256327 | + | 0.532268i | ||||
\(839\) | 19.1269 | + | 9.21104i | 0.660334 | + | 0.318000i | 0.733868 | − | 0.679293i | \(-0.237713\pi\) |
−0.0735333 | + | 0.997293i | \(0.523428\pi\) | |||||||
\(840\) | 5.53328 | + | 3.08636i | 0.190916 | + | 0.106489i | ||||
\(841\) | −2.18669 | + | 1.05305i | −0.0754031 | + | 0.0363122i | ||||
\(842\) | −29.7615 | − | 23.7340i | −1.02565 | − | 0.817929i | ||||
\(843\) | 6.66896 | − | 25.4856i | 0.229691 | − | 0.877771i | ||||
\(844\) | −4.39127 | − | 5.50648i | −0.151154 | − | 0.189541i | ||||
\(845\) | −2.80499 | − | 12.2894i | −0.0964944 | − | 0.422770i | ||||
\(846\) | −3.96379 | + | 7.05524i | −0.136278 | + | 0.242564i | ||||
\(847\) | 44.1302 | − | 52.2171i | 1.51633 | − | 1.79420i | ||||
\(848\) | 6.44396 | + | 5.13889i | 0.221287 | + | 0.176470i | ||||
\(849\) | −6.37831 | + | 24.3749i | −0.218903 | + | 0.836544i | ||||
\(850\) | −13.9275 | + | 3.17886i | −0.477710 | + | 0.109034i | ||||
\(851\) | 23.7002i | 0.812433i | ||||||||
\(852\) | 0.384659 | + | 1.96969i | 0.0131782 | + | 0.0674805i | ||||
\(853\) | 37.7925 | − | 8.62589i | 1.29399 | − | 0.295345i | 0.480537 | − | 0.876975i | \(-0.340442\pi\) |
0.813454 | + | 0.581630i | \(0.197585\pi\) | |||||||
\(854\) | 17.1058 | − | 7.64592i | 0.585348 | − | 0.261638i | ||||
\(855\) | 3.40121 | − | 0.553507i | 0.116319 | − | 0.0189296i | ||||
\(856\) | −0.462856 | + | 2.02791i | −0.0158201 | + | 0.0693124i | ||||
\(857\) | 23.4390 | − | 29.3916i | 0.800662 | − | 1.00400i | −0.199049 | − | 0.979989i | \(-0.563785\pi\) |
0.999712 | − | 0.0240095i | \(-0.00764318\pi\) | |||||||
\(858\) | −43.8464 | − | 22.8457i | −1.49689 | − | 0.779938i | ||||
\(859\) | 42.7070 | + | 9.74760i | 1.45714 | + | 0.332584i | 0.876432 | − | 0.481525i | \(-0.159917\pi\) |
0.580712 | + | 0.814109i | \(0.302774\pi\) | |||||||
\(860\) | 0.786038 | − | 3.44386i | 0.0268037 | − | 0.117434i | ||||
\(861\) | −13.3785 | + | 9.41440i | −0.455940 | + | 0.320842i | ||||
\(862\) | 0.852787 | + | 3.73630i | 0.0290460 | + | 0.127259i | ||||
\(863\) | 4.69971i | 0.159980i | 0.996796 | + | 0.0799900i | \(0.0254888\pi\) | ||||
−0.996796 | + | 0.0799900i | \(0.974511\pi\) | |||||||
\(864\) | −2.84147 | − | 4.35041i | −0.0966686 | − | 0.148004i | ||||
\(865\) | 1.50826 | + | 6.60811i | 0.0512823 | + | 0.224682i | ||||
\(866\) | −14.9492 | − | 7.19915i | −0.507994 | − | 0.244637i | ||||
\(867\) | −3.51796 | + | 6.75182i | −0.119476 | + | 0.229304i | ||||
\(868\) | −6.66474 | − | 5.63256i | −0.226216 | − | 0.191181i | ||||
\(869\) | 71.4789 | − | 57.0025i | 2.42475 | − | 1.93368i | ||||
\(870\) | −5.00272 | − | 11.2854i | −0.169608 | − | 0.382611i | ||||
\(871\) | −35.2115 | + | 28.0803i | −1.19310 | + | 0.951463i | ||||
\(872\) | −6.97970 | + | 14.4935i | −0.236362 | + | 0.490812i | ||||
\(873\) | 41.8592 | + | 12.3763i | 1.41672 | + | 0.418874i | ||||
\(874\) | −2.47904 | − | 5.14779i | −0.0838549 | − | 0.174127i | ||||
\(875\) | −19.0983 | + | 22.5981i | −0.645640 | + | 0.763955i | ||||
\(876\) | −5.96068 | + | 22.7789i | −0.201393 | + | 0.769627i | ||||
\(877\) | −1.72902 | + | 0.832654i | −0.0583850 | + | 0.0281167i | −0.462848 | − | 0.886437i | \(-0.653173\pi\) |
0.404463 | + | 0.914554i | \(0.367458\pi\) | |||||||
\(878\) | −3.56031 | + | 15.5987i | −0.120155 | + | 0.526432i | ||||
\(879\) | 5.67983 | − | 4.24357i | 0.191576 | − | 0.143132i | ||||
\(880\) | 6.56100 | − | 5.23222i | 0.221171 | − | 0.176378i | ||||
\(881\) | −55.9337 | −1.88445 | −0.942227 | − | 0.334974i | \(-0.891272\pi\) | ||||
−0.942227 | + | 0.334974i | \(0.891272\pi\) | |||||||
\(882\) | −11.3110 | + | 17.6936i | −0.380860 | + | 0.595773i | ||||
\(883\) | 53.7876 | 1.81010 | 0.905048 | − | 0.425309i | \(-0.139834\pi\) | ||||
0.905048 | + | 0.425309i | \(0.139834\pi\) | |||||||
\(884\) | −17.0075 | + | 13.5630i | −0.572025 | + | 0.456175i | ||||
\(885\) | 18.5486 | − | 13.8582i | 0.623503 | − | 0.465837i | ||||
\(886\) | 2.52683 | − | 11.0708i | 0.0848907 | − | 0.371930i | ||||
\(887\) | −36.2732 | + | 17.4683i | −1.21794 | + | 0.586527i | −0.928736 | − | 0.370741i | \(-0.879104\pi\) |
−0.289200 | + | 0.957269i | \(0.593389\pi\) | |||||||
\(888\) | −1.51104 | + | 5.77449i | −0.0507073 | + | 0.193779i | ||||
\(889\) | 3.98495 | − | 15.4222i | 0.133651 | − | 0.517244i | ||||
\(890\) | 5.52932 | + | 11.4817i | 0.185343 | + | 0.384869i | ||||
\(891\) | 54.3633 | − | 5.35840i | 1.82124 | − | 0.179513i | ||||
\(892\) | 6.94077 | − | 14.4127i | 0.232394 | − | 0.482572i | ||||
\(893\) | −1.75213 | + | 1.39728i | −0.0586328 | + | 0.0467581i | ||||
\(894\) | 8.40869 | + | 18.9687i | 0.281229 | + | 0.634410i | ||||
\(895\) | −6.37224 | + | 5.08169i | −0.213001 | + | 0.169862i | ||||
\(896\) | 1.21532 | − | 2.35011i | 0.0406009 | − | 0.0785116i | ||||
\(897\) | 25.8856 | − | 49.6809i | 0.864296 | − | 1.65880i | ||||
\(898\) | 11.8593 | + | 5.71113i | 0.395750 | + | 0.190583i | ||||
\(899\) | 3.78321 | + | 16.5753i | 0.126177 | + | 0.552818i | ||||
\(900\) | 8.58456 | − | 3.48589i | 0.286152 | − | 0.116196i | ||||
\(901\) | 38.1243i | 1.27010i | ||||||||
\(902\) | 4.82148 | + | 21.1243i | 0.160538 | + | 0.703361i | ||||
\(903\) | 11.2378 | + | 3.28506i | 0.373972 | + | 0.109320i | ||||
\(904\) | −1.08278 | + | 4.74397i | −0.0360128 | + | 0.157782i | ||||
\(905\) | −11.1840 | − | 2.55267i | −0.371768 | − | 0.0848537i | ||||
\(906\) | −0.123007 | − | 0.0640913i | −0.00408663 | − | 0.00212929i | ||||
\(907\) | −6.55727 | + | 8.22255i | −0.217730 | + | 0.273025i | −0.878686 | − | 0.477399i | \(-0.841580\pi\) |
0.660956 | + | 0.750425i | \(0.270151\pi\) | |||||||
\(908\) | 1.86759 | − | 8.18246i | 0.0619782 | − | 0.271544i | ||||
\(909\) | 4.98549 | + | 30.6349i | 0.165358 | + | 1.01610i | ||||
\(910\) | −4.30379 | + | 16.6561i | −0.142669 | + | 0.552146i | ||||
\(911\) | −24.7524 | + | 5.64956i | −0.820082 | + | 0.187178i | −0.611924 | − | 0.790917i | \(-0.709604\pi\) |
−0.208158 | + | 0.978095i | \(0.566747\pi\) | |||||||
\(912\) | −0.275807 | − | 1.41230i | −0.00913288 | − | 0.0467659i | ||||
\(913\) | − | 23.8465i | − | 0.789206i | ||||||
\(914\) | −6.03753 | + | 1.37803i | −0.199704 | + | 0.0455811i | ||||
\(915\) | −4.29322 | + | 16.4066i | −0.141929 | + | 0.542386i | ||||
\(916\) | −20.7009 | − | 16.5084i | −0.683977 | − | 0.545454i | ||||
\(917\) | 10.0035 | + | 13.3037i | 0.330345 | + | 0.439326i | ||||
\(918\) | 7.53806 | − | 22.8223i | 0.248793 | − | 0.753249i | ||||
\(919\) | −10.9651 | − | 48.0411i | −0.361704 | − | 1.58473i | −0.748868 | − | 0.662719i | \(-0.769402\pi\) |
0.387164 | − | 0.922011i | \(-0.373455\pi\) | |||||||
\(920\) | 5.92845 | + | 7.43404i | 0.195455 | + | 0.245093i | ||||
\(921\) | −3.03590 | + | 11.6018i | −0.100036 | + | 0.382291i | ||||
\(922\) | −21.1180 | − | 16.8411i | −0.695485 | − | 0.554631i | ||||
\(923\) | −4.90954 | + | 2.36431i | −0.161599 | + | 0.0778221i | ||||
\(924\) | 16.0069 | + | 22.7470i | 0.526590 | + | 0.748322i | ||||
\(925\) | −9.58923 | − | 4.61793i | −0.315292 | − | 0.151837i | ||||
\(926\) | 6.20181 | + | 12.8782i | 0.203804 | + | 0.423204i | ||||
\(927\) | 35.6403 | − | 5.80005i | 1.17058 | − | 0.190499i | ||||
\(928\) | −4.64440 | + | 2.23663i | −0.152460 | + | 0.0734208i | ||||
\(929\) | −23.2979 | − | 29.2147i | −0.764380 | − | 0.958503i | 0.235530 | − | 0.971867i | \(-0.424317\pi\) |
−0.999911 | + | 0.0133644i | \(0.995746\pi\) | |||||||
\(930\) | 7.75170 | − | 1.51382i | 0.254188 | − | 0.0496403i | ||||
\(931\) | −4.74571 | + | 3.36140i | −0.155534 | + | 0.110166i | ||||
\(932\) | − | 8.94058i | − | 0.292858i | ||||||
\(933\) | 18.4250 | + | 15.6690i | 0.603208 | + | 0.512979i | ||||
\(934\) | 1.61407 | + | 3.35165i | 0.0528140 | + | 0.109669i | ||||
\(935\) | 37.8435 | + | 8.63753i | 1.23761 | + | 0.282477i | ||||
\(936\) | 9.47444 | − | 10.4542i | 0.309682 | − | 0.341707i | ||||
\(937\) | 3.68446 | − | 7.65087i | 0.120366 | − | 0.249943i | −0.832076 | − | 0.554661i | \(-0.812848\pi\) |
0.952443 | + | 0.304718i | \(0.0985622\pi\) | |||||||
\(938\) | 24.8522 | − | 4.93280i | 0.811452 | − | 0.161062i | ||||
\(939\) | −17.6436 | − | 23.6153i | −0.575779 | − | 0.770655i | ||||
\(940\) | 2.32532 | − | 2.91586i | 0.0758437 | − | 0.0951050i | ||||
\(941\) | 37.4120 | + | 18.0167i | 1.21960 | + | 0.587326i | 0.929199 | − | 0.369580i | \(-0.120498\pi\) |
0.290397 | + | 0.956906i | \(0.406213\pi\) | |||||||
\(942\) | −2.29557 | − | 1.95219i | −0.0747937 | − | 0.0636058i | ||||
\(943\) | −23.9352 | + | 5.46305i | −0.779437 | + | 0.177901i | ||||
\(944\) | −6.02832 | − | 7.55928i | −0.196205 | − | 0.246034i | ||||
\(945\) | −6.08233 | − | 18.0081i | −0.197858 | − | 0.585802i | ||||
\(946\) | 9.66875 | − | 12.1242i | 0.314358 | − | 0.394193i | ||||
\(947\) | −20.1529 | + | 41.8480i | −0.654882 | + | 1.35988i | 0.263684 | + | 0.964609i | \(0.415062\pi\) |
−0.918566 | + | 0.395268i | \(0.870652\pi\) | |||||||
\(948\) | 10.5729 | + | 23.8509i | 0.343392 | + | 0.774641i | ||||
\(949\) | −63.9322 | −2.07533 | ||||||||
\(950\) | 2.56586 | 0.0832474 | ||||||||
\(951\) | −10.8164 | + | 4.79482i | −0.350746 | + | 0.155483i | ||||
\(952\) | 12.0038 | − | 2.38259i | 0.389047 | − | 0.0772202i | ||||
\(953\) | 26.9086 | + | 6.14171i | 0.871655 | + | 0.198950i | 0.634876 | − | 0.772614i | \(-0.281051\pi\) |
0.236779 | + | 0.971564i | \(0.423908\pi\) | |||||||
\(954\) | −3.97169 | − | 24.4053i | −0.128588 | − | 0.790152i | ||||
\(955\) | −11.1461 | − | 8.88873i | −0.360680 | − | 0.287633i | ||||
\(956\) | −8.63992 | − | 6.89011i | −0.279435 | − | 0.222842i | ||||
\(957\) | 1.70883 | − | 54.1660i | 0.0552386 | − | 1.75094i | ||||
\(958\) | 18.0559 | + | 4.12115i | 0.583360 | + | 0.133148i | ||||
\(959\) | 47.2306 | − | 35.5143i | 1.52516 | − | 1.14682i | ||||
\(960\) | 0.970480 | + | 2.18926i | 0.0313221 | + | 0.0706580i | ||||
\(961\) | 20.1222 | 0.649104 | ||||||||
\(962\) | −16.2069 | −0.522533 | ||||||||
\(963\) | 5.11431 | − | 3.57542i | 0.164806 | − | 0.115216i | ||||
\(964\) | −3.37479 | + | 7.00783i | −0.108695 | + | 0.225707i | ||||
\(965\) | −8.81896 | + | 11.0586i | −0.283892 | + | 0.355990i | ||||
\(966\) | −25.7739 | + | 18.1369i | −0.829261 | + | 0.583545i | ||||
\(967\) | −12.4216 | − | 15.5762i | −0.399453 | − | 0.500898i | 0.540906 | − | 0.841083i | \(-0.318082\pi\) |
−0.940358 | + | 0.340185i | \(0.889510\pi\) | |||||||
\(968\) | 25.1926 | − | 5.75004i | 0.809720 | − | 0.184813i | ||||
\(969\) | 4.31200 | − | 5.07046i | 0.138521 | − | 0.162887i | ||||
\(970\) | −18.1247 | − | 8.72842i | −0.581950 | − | 0.280253i | ||||
\(971\) | 15.5220 | − | 19.4639i | 0.498123 | − | 0.624627i | −0.467681 | − | 0.883897i | \(-0.654911\pi\) |
0.965805 | + | 0.259270i | \(0.0834820\pi\) | |||||||
\(972\) | −2.44793 | + | 15.3951i | −0.0785175 | + | 0.493797i | ||||
\(973\) | 0.0602094 | − | 2.11497i | 0.00193023 | − | 0.0678030i | ||||
\(974\) | −4.33317 | + | 8.99791i | −0.138844 | + | 0.288312i | ||||
\(975\) | 15.0574 | + | 20.1537i | 0.482222 | + | 0.645434i | ||||
\(976\) | 6.90429 | + | 1.57586i | 0.221001 | + | 0.0504420i | ||||
\(977\) | 3.71165 | + | 7.70733i | 0.118746 | + | 0.246579i | 0.951867 | − | 0.306513i | \(-0.0991621\pi\) |
−0.833120 | + | 0.553092i | \(0.813448\pi\) | |||||||
\(978\) | −20.4414 | + | 24.0369i | −0.653643 | + | 0.768615i | ||||
\(979\) | 55.9457i | 1.78803i | ||||||||
\(980\) | 6.45492 | − | 7.21114i | 0.206195 | − | 0.230351i | ||||
\(981\) | 44.7139 | − | 18.1567i | 1.42760 | − | 0.579700i | ||||
\(982\) | −10.3124 | − | 12.9313i | −0.329081 | − | 0.412654i | ||||
\(983\) | 27.5426 | − | 13.2638i | 0.878471 | − | 0.423050i | 0.0604054 | − | 0.998174i | \(-0.480761\pi\) |
0.818066 | + | 0.575124i | \(0.195046\pi\) | |||||||
\(984\) | −6.18004 | − | 0.194968i | −0.197013 | − | 0.00621535i | ||||
\(985\) | 2.54481 | + | 5.28435i | 0.0810844 | + | 0.168374i | ||||
\(986\) | −21.4828 | − | 10.3456i | −0.684153 | − | 0.329471i | ||||
\(987\) | 9.18504 | + | 8.27288i | 0.292363 | + | 0.263329i | ||||
\(988\) | 3.52022 | − | 1.69525i | 0.111993 | − | 0.0539330i | ||||
\(989\) | 13.7375 | + | 10.9553i | 0.436828 | + | 0.348359i | ||||
\(990\) | −25.1254 | − | 1.58689i | −0.798538 | − | 0.0504348i | ||||
\(991\) | 19.8869 | + | 24.9374i | 0.631729 | + | 0.792163i | 0.989942 | − | 0.141477i | \(-0.0451851\pi\) |
−0.358212 | + | 0.933640i | \(0.616614\pi\) | |||||||
\(992\) | −0.733907 | − | 3.21545i | −0.0233016 | − | 0.102091i | ||||
\(993\) | 4.62873 | + | 3.93635i | 0.146888 | + | 0.124916i | ||||
\(994\) | 3.06435 | + | 0.0872363i | 0.0971952 | + | 0.00276697i | ||||
\(995\) | −20.8710 | − | 16.6440i | −0.661654 | − | 0.527651i | ||||
\(996\) | 6.58327 | + | 1.72268i | 0.208599 | + | 0.0545853i | ||||
\(997\) | 19.8963 | − | 4.54121i | 0.630123 | − | 0.143822i | 0.104481 | − | 0.994527i | \(-0.466682\pi\) |
0.525643 | + | 0.850705i | \(0.323825\pi\) | |||||||
\(998\) | − | 27.6621i | − | 0.875628i | ||||||
\(999\) | 14.9922 | − | 9.79214i | 0.474332 | − | 0.309809i |
(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 | 294.2.j.a.41.9 | ✓ | 120 | |
3.2 | odd | 2 | inner | 294.2.j.a.41.12 | yes | 120 | |
49.6 | odd | 14 | inner | 294.2.j.a.251.12 | yes | 120 | |
147.104 | even | 14 | inner | 294.2.j.a.251.9 | yes | 120 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
294.2.j.a.41.9 | ✓ | 120 | 1.1 | even | 1 | trivial | |
294.2.j.a.41.12 | yes | 120 | 3.2 | odd | 2 | inner | |
294.2.j.a.251.9 | yes | 120 | 147.104 | even | 14 | inner | |
294.2.j.a.251.12 | yes | 120 | 49.6 | odd | 14 | inner |