Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [690,2,Mod(31,690)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(690, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 0, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("690.31");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 690.m (of order \(11\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.50967773947\) |
Analytic rank: | \(0\) |
Dimension: | \(30\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{11})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 271.1 | ||
Character | \(\chi\) | \(=\) | 690.271 |
Dual form | 690.2.m.g.331.1 |
$q$-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 \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).
\(n\) | \(277\) | \(461\) | \(511\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{6}{11}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.959493 | − | 0.281733i | −0.678464 | − | 0.199215i | ||||
\(3\) | −0.654861 | + | 0.755750i | −0.378084 | + | 0.436332i | ||||
\(4\) | 0.841254 | + | 0.540641i | 0.420627 | + | 0.270320i | ||||
\(5\) | −0.142315 | + | 0.989821i | −0.0636451 | + | 0.442662i | ||||
\(6\) | 0.841254 | − | 0.540641i | 0.343440 | − | 0.220716i | ||||
\(7\) | −1.37681 | − | 3.01480i | −0.520386 | − | 1.13949i | −0.969293 | − | 0.245909i | \(-0.920914\pi\) |
0.448907 | − | 0.893579i | \(-0.351814\pi\) | |||||||
\(8\) | −0.654861 | − | 0.755750i | −0.231528 | − | 0.267198i | ||||
\(9\) | −0.142315 | − | 0.989821i | −0.0474383 | − | 0.329940i | ||||
\(10\) | 0.415415 | − | 0.909632i | 0.131366 | − | 0.287651i | ||||
\(11\) | 4.09562 | − | 1.20258i | 1.23488 | − | 0.362592i | 0.401788 | − | 0.915733i | \(-0.368389\pi\) |
0.833088 | + | 0.553141i | \(0.186571\pi\) | |||||||
\(12\) | −0.959493 | + | 0.281733i | −0.276982 | + | 0.0813292i | ||||
\(13\) | −1.47014 | + | 3.21916i | −0.407744 | + | 0.892835i | 0.588682 | + | 0.808365i | \(0.299647\pi\) |
−0.996426 | + | 0.0844704i | \(0.973080\pi\) | |||||||
\(14\) | 0.471675 | + | 3.28057i | 0.126060 | + | 0.876770i | ||||
\(15\) | −0.654861 | − | 0.755750i | −0.169084 | − | 0.195134i | ||||
\(16\) | 0.415415 | + | 0.909632i | 0.103854 | + | 0.227408i | ||||
\(17\) | −1.63053 | + | 1.04787i | −0.395460 | + | 0.254147i | −0.723225 | − | 0.690612i | \(-0.757341\pi\) |
0.327765 | + | 0.944759i | \(0.393705\pi\) | |||||||
\(18\) | −0.142315 | + | 0.989821i | −0.0335439 | + | 0.233303i | ||||
\(19\) | −5.63886 | − | 3.62388i | −1.29364 | − | 0.831375i | −0.301139 | − | 0.953580i | \(-0.597367\pi\) |
−0.992505 | + | 0.122205i | \(0.961003\pi\) | |||||||
\(20\) | −0.654861 | + | 0.755750i | −0.146431 | + | 0.168991i | ||||
\(21\) | 3.18005 | + | 0.933748i | 0.693945 | + | 0.203761i | ||||
\(22\) | −4.26852 | −0.910053 | ||||||||
\(23\) | −4.79377 | + | 0.140475i | −0.999571 | + | 0.0292910i | ||||
\(24\) | 1.00000 | 0.204124 | ||||||||
\(25\) | −0.959493 | − | 0.281733i | −0.191899 | − | 0.0563465i | ||||
\(26\) | 2.31753 | − | 2.67458i | 0.454506 | − | 0.524528i | ||||
\(27\) | 0.841254 | + | 0.540641i | 0.161899 | + | 0.104046i | ||||
\(28\) | 0.471675 | − | 3.28057i | 0.0891382 | − | 0.619970i | ||||
\(29\) | 5.55566 | − | 3.57041i | 1.03166 | − | 0.663008i | 0.0887502 | − | 0.996054i | \(-0.471713\pi\) |
0.942911 | + | 0.333046i | \(0.108076\pi\) | |||||||
\(30\) | 0.415415 | + | 0.909632i | 0.0758441 | + | 0.166075i | ||||
\(31\) | −3.67482 | − | 4.24096i | −0.660017 | − | 0.761700i | 0.322763 | − | 0.946480i | \(-0.395388\pi\) |
−0.982780 | + | 0.184780i | \(0.940843\pi\) | |||||||
\(32\) | −0.142315 | − | 0.989821i | −0.0251579 | − | 0.174977i | ||||
\(33\) | −1.77321 | + | 3.88279i | −0.308676 | + | 0.675906i | ||||
\(34\) | 1.85970 | − | 0.546057i | 0.318936 | − | 0.0936479i | ||||
\(35\) | 3.18005 | − | 0.933748i | 0.537527 | − | 0.157832i | ||||
\(36\) | 0.415415 | − | 0.909632i | 0.0692358 | − | 0.151605i | ||||
\(37\) | −1.32433 | − | 9.21089i | −0.217718 | − | 1.51426i | −0.746432 | − | 0.665461i | \(-0.768235\pi\) |
0.528715 | − | 0.848800i | \(-0.322674\pi\) | |||||||
\(38\) | 4.38949 | + | 5.06574i | 0.712069 | + | 0.821771i | ||||
\(39\) | −1.47014 | − | 3.21916i | −0.235411 | − | 0.515479i | ||||
\(40\) | 0.841254 | − | 0.540641i | 0.133014 | − | 0.0854828i | ||||
\(41\) | 0.502543 | − | 3.49527i | 0.0784841 | − | 0.545869i | −0.912206 | − | 0.409732i | \(-0.865622\pi\) |
0.990690 | − | 0.136137i | \(-0.0434687\pi\) | |||||||
\(42\) | −2.78817 | − | 1.79185i | −0.430224 | − | 0.276488i | ||||
\(43\) | 2.71793 | − | 3.13666i | 0.414480 | − | 0.478336i | −0.509667 | − | 0.860372i | \(-0.670231\pi\) |
0.924148 | + | 0.382036i | \(0.124777\pi\) | |||||||
\(44\) | 4.09562 | + | 1.20258i | 0.617438 | + | 0.181296i | ||||
\(45\) | 1.00000 | 0.149071 | ||||||||
\(46\) | 4.63917 | + | 1.21578i | 0.684008 | + | 0.179257i | ||||
\(47\) | 11.1457 | 1.62577 | 0.812883 | − | 0.582427i | \(-0.197897\pi\) | ||||
0.812883 | + | 0.582427i | \(0.197897\pi\) | |||||||
\(48\) | −0.959493 | − | 0.281733i | −0.138491 | − | 0.0406646i | ||||
\(49\) | −2.60938 | + | 3.01138i | −0.372768 | + | 0.430198i | ||||
\(50\) | 0.841254 | + | 0.540641i | 0.118971 | + | 0.0764582i | ||||
\(51\) | 0.275836 | − | 1.91848i | 0.0386248 | − | 0.268641i | ||||
\(52\) | −2.97717 | + | 1.91331i | −0.412860 | + | 0.265329i | ||||
\(53\) | −1.98060 | − | 4.33692i | −0.272057 | − | 0.595722i | 0.723454 | − | 0.690373i | \(-0.242554\pi\) |
−0.995510 | + | 0.0946515i | \(0.969826\pi\) | |||||||
\(54\) | −0.654861 | − | 0.755750i | −0.0891153 | − | 0.102844i | ||||
\(55\) | 0.607474 | + | 4.22508i | 0.0819118 | + | 0.569709i | ||||
\(56\) | −1.37681 | + | 3.01480i | −0.183984 | + | 0.402870i | ||||
\(57\) | 6.43142 | − | 1.88843i | 0.851862 | − | 0.250129i | ||||
\(58\) | −6.33652 | + | 1.86057i | −0.832026 | + | 0.244305i | ||||
\(59\) | 2.90537 | − | 6.36187i | 0.378247 | − | 0.828245i | −0.620774 | − | 0.783990i | \(-0.713181\pi\) |
0.999020 | − | 0.0442548i | \(-0.0140914\pi\) | |||||||
\(60\) | −0.142315 | − | 0.989821i | −0.0183728 | − | 0.127785i | ||||
\(61\) | 1.09537 | + | 1.26412i | 0.140247 | + | 0.161854i | 0.821528 | − | 0.570168i | \(-0.193122\pi\) |
−0.681281 | + | 0.732022i | \(0.738577\pi\) | |||||||
\(62\) | 2.33114 | + | 5.10449i | 0.296055 | + | 0.648271i | ||||
\(63\) | −2.78817 | + | 1.79185i | −0.351277 | + | 0.225752i | ||||
\(64\) | −0.142315 | + | 0.989821i | −0.0177894 | + | 0.123728i | ||||
\(65\) | −2.97717 | − | 1.91331i | −0.369273 | − | 0.237317i | ||||
\(66\) | 2.79529 | − | 3.22594i | 0.344076 | − | 0.397085i | ||||
\(67\) | −15.0956 | − | 4.43247i | −1.84422 | − | 0.541512i | −0.999985 | − | 0.00553908i | \(-0.998237\pi\) |
−0.844235 | − | 0.535973i | \(-0.819945\pi\) | |||||||
\(68\) | −1.93821 | −0.235042 | ||||||||
\(69\) | 3.03309 | − | 3.71488i | 0.365141 | − | 0.447219i | ||||
\(70\) | −3.31431 | −0.396135 | ||||||||
\(71\) | 4.06919 | + | 1.19482i | 0.482924 | + | 0.141799i | 0.514128 | − | 0.857714i | \(-0.328116\pi\) |
−0.0312032 | + | 0.999513i | \(0.509934\pi\) | |||||||
\(72\) | −0.654861 | + | 0.755750i | −0.0771761 | + | 0.0890659i | ||||
\(73\) | −8.31387 | − | 5.34300i | −0.973065 | − | 0.625351i | −0.0454808 | − | 0.998965i | \(-0.514482\pi\) |
−0.927584 | + | 0.373614i | \(0.878118\pi\) | |||||||
\(74\) | −1.32433 | + | 9.21089i | −0.153950 | + | 1.07074i | ||||
\(75\) | 0.841254 | − | 0.540641i | 0.0971396 | − | 0.0624278i | ||||
\(76\) | −2.78450 | − | 6.09720i | −0.319404 | − | 0.699397i | ||||
\(77\) | −9.26445 | − | 10.6917i | −1.05578 | − | 1.21844i | ||||
\(78\) | 0.503648 | + | 3.50295i | 0.0570270 | + | 0.396631i | ||||
\(79\) | 2.80003 | − | 6.13120i | 0.315028 | − | 0.689814i | −0.684193 | − | 0.729301i | \(-0.739845\pi\) |
0.999220 | + | 0.0394874i | \(0.0125725\pi\) | |||||||
\(80\) | −0.959493 | + | 0.281733i | −0.107275 | + | 0.0314987i | ||||
\(81\) | −0.959493 | + | 0.281733i | −0.106610 | + | 0.0313036i | ||||
\(82\) | −1.46692 | + | 3.21210i | −0.161994 | + | 0.354717i | ||||
\(83\) | −1.30743 | − | 9.09336i | −0.143509 | − | 0.998125i | −0.926554 | − | 0.376161i | \(-0.877244\pi\) |
0.783046 | − | 0.621964i | \(-0.213665\pi\) | |||||||
\(84\) | 2.17041 | + | 2.50479i | 0.236811 | + | 0.273295i | ||||
\(85\) | −0.805161 | − | 1.76306i | −0.0873320 | − | 0.191230i | ||||
\(86\) | −3.49153 | + | 2.24387i | −0.376502 | + | 0.241963i | ||||
\(87\) | −0.939852 | + | 6.53681i | −0.100763 | + | 0.700820i | ||||
\(88\) | −3.59091 | − | 2.30774i | −0.382792 | − | 0.246006i | ||||
\(89\) | −9.44270 | + | 10.8975i | −1.00092 | + | 1.15513i | −0.0130434 | + | 0.999915i | \(0.504152\pi\) |
−0.987881 | + | 0.155213i | \(0.950393\pi\) | |||||||
\(90\) | −0.959493 | − | 0.281733i | −0.101139 | − | 0.0296972i | ||||
\(91\) | 11.7292 | 1.22956 | ||||||||
\(92\) | −4.10873 | − | 2.47353i | −0.428364 | − | 0.257884i | ||||
\(93\) | 5.61160 | 0.581896 | ||||||||
\(94\) | −10.6942 | − | 3.14010i | −1.10302 | − | 0.323877i | ||||
\(95\) | 4.38949 | − | 5.06574i | 0.450352 | − | 0.519734i | ||||
\(96\) | 0.841254 | + | 0.540641i | 0.0858601 | + | 0.0551789i | ||||
\(97\) | −2.63607 | + | 18.3343i | −0.267653 | + | 1.86156i | 0.202909 | + | 0.979198i | \(0.434960\pi\) |
−0.470562 | + | 0.882367i | \(0.655949\pi\) | |||||||
\(98\) | 3.35209 | − | 2.15425i | 0.338612 | − | 0.217613i | ||||
\(99\) | −1.77321 | − | 3.88279i | −0.178214 | − | 0.390235i | ||||
\(100\) | −0.654861 | − | 0.755750i | −0.0654861 | − | 0.0755750i | ||||
\(101\) | 0.122363 | + | 0.851052i | 0.0121756 | + | 0.0846829i | 0.995003 | − | 0.0998431i | \(-0.0318341\pi\) |
−0.982828 | + | 0.184526i | \(0.940925\pi\) | |||||||
\(102\) | −0.805161 | + | 1.76306i | −0.0797228 | + | 0.174569i | ||||
\(103\) | 7.37177 | − | 2.16455i | 0.726362 | − | 0.213279i | 0.102411 | − | 0.994742i | \(-0.467344\pi\) |
0.623952 | + | 0.781463i | \(0.285526\pi\) | |||||||
\(104\) | 3.39562 | − | 0.997044i | 0.332968 | − | 0.0977682i | ||||
\(105\) | −1.37681 | + | 3.01480i | −0.134363 | + | 0.294214i | ||||
\(106\) | 0.678525 | + | 4.71924i | 0.0659042 | + | 0.458373i | ||||
\(107\) | 0.147621 | + | 0.170364i | 0.0142710 | + | 0.0164697i | 0.762840 | − | 0.646587i | \(-0.223804\pi\) |
−0.748569 | + | 0.663057i | \(0.769259\pi\) | |||||||
\(108\) | 0.415415 | + | 0.909632i | 0.0399733 | + | 0.0875294i | ||||
\(109\) | −12.6043 | + | 8.10026i | −1.20727 | + | 0.775865i | −0.980199 | − | 0.198014i | \(-0.936551\pi\) |
−0.227070 | + | 0.973879i | \(0.572914\pi\) | |||||||
\(110\) | 0.607474 | − | 4.22508i | 0.0579204 | − | 0.402845i | ||||
\(111\) | 7.82837 | + | 5.03099i | 0.743036 | + | 0.477521i | ||||
\(112\) | 2.17041 | − | 2.50479i | 0.205084 | − | 0.236680i | ||||
\(113\) | 2.74248 | + | 0.805266i | 0.257991 | + | 0.0757531i | 0.408170 | − | 0.912906i | \(-0.366167\pi\) |
−0.150179 | + | 0.988659i | \(0.547985\pi\) | |||||||
\(114\) | −6.70293 | −0.627787 | ||||||||
\(115\) | 0.543180 | − | 4.76497i | 0.0506518 | − | 0.444336i | ||||
\(116\) | 6.60403 | 0.613169 | ||||||||
\(117\) | 3.39562 | + | 0.997044i | 0.313925 | + | 0.0921767i | ||||
\(118\) | −4.58003 | + | 5.28563i | −0.421626 | + | 0.486582i | ||||
\(119\) | 5.40406 | + | 3.47298i | 0.495389 | + | 0.318367i | ||||
\(120\) | −0.142315 | + | 0.989821i | −0.0129915 | + | 0.0903579i | ||||
\(121\) | 6.07410 | − | 3.90359i | 0.552191 | − | 0.354872i | ||||
\(122\) | −0.694852 | − | 1.52151i | −0.0629090 | − | 0.137751i | ||||
\(123\) | 2.31245 | + | 2.66871i | 0.208507 | + | 0.240629i | ||||
\(124\) | −0.798614 | − | 5.55448i | −0.0717176 | − | 0.498807i | ||||
\(125\) | 0.415415 | − | 0.909632i | 0.0371558 | − | 0.0813600i | ||||
\(126\) | 3.18005 | − | 0.933748i | 0.283302 | − | 0.0831849i | ||||
\(127\) | 14.8763 | − | 4.36808i | 1.32006 | − | 0.387604i | 0.455545 | − | 0.890213i | \(-0.349444\pi\) |
0.864514 | + | 0.502608i | \(0.167626\pi\) | |||||||
\(128\) | 0.415415 | − | 0.909632i | 0.0367178 | − | 0.0804009i | ||||
\(129\) | 0.590663 | + | 4.10815i | 0.0520049 | + | 0.361702i | ||||
\(130\) | 2.31753 | + | 2.67458i | 0.203261 | + | 0.234576i | ||||
\(131\) | 4.14112 | + | 9.06779i | 0.361811 | + | 0.792256i | 0.999754 | + | 0.0221725i | \(0.00705831\pi\) |
−0.637943 | + | 0.770084i | \(0.720214\pi\) | |||||||
\(132\) | −3.59091 | + | 2.30774i | −0.312549 | + | 0.200863i | ||||
\(133\) | −3.16161 | + | 21.9895i | −0.274146 | + | 1.90673i | ||||
\(134\) | 13.2353 | + | 8.50584i | 1.14336 | + | 0.734793i | ||||
\(135\) | −0.654861 | + | 0.755750i | −0.0563614 | + | 0.0650446i | ||||
\(136\) | 1.85970 | + | 0.546057i | 0.159468 | + | 0.0468240i | ||||
\(137\) | −12.0986 | −1.03365 | −0.516826 | − | 0.856090i | \(-0.672887\pi\) | ||||
−0.516826 | + | 0.856090i | \(0.672887\pi\) | |||||||
\(138\) | −3.95683 | + | 2.70988i | −0.336828 | + | 0.230681i | ||||
\(139\) | 3.44900 | 0.292541 | 0.146270 | − | 0.989245i | \(-0.453273\pi\) | ||||
0.146270 | + | 0.989245i | \(0.453273\pi\) | |||||||
\(140\) | 3.18005 | + | 0.933748i | 0.268764 | + | 0.0789161i | ||||
\(141\) | −7.29887 | + | 8.42335i | −0.614676 | + | 0.709374i | ||||
\(142\) | −3.56774 | − | 2.29285i | −0.299398 | − | 0.192412i | ||||
\(143\) | −2.14984 | + | 14.9524i | −0.179778 | + | 1.25039i | ||||
\(144\) | 0.841254 | − | 0.540641i | 0.0701045 | − | 0.0450534i | ||||
\(145\) | 2.74341 | + | 6.00724i | 0.227828 | + | 0.498874i | ||||
\(146\) | 6.47180 | + | 7.46886i | 0.535610 | + | 0.618127i | ||||
\(147\) | −0.567072 | − | 3.94407i | −0.0467713 | − | 0.325302i | ||||
\(148\) | 3.86569 | − | 8.46468i | 0.317758 | − | 0.695792i | ||||
\(149\) | −20.9690 | + | 6.15706i | −1.71785 | + | 0.504406i | −0.984491 | − | 0.175435i | \(-0.943867\pi\) |
−0.733359 | + | 0.679841i | \(0.762049\pi\) | |||||||
\(150\) | −0.959493 | + | 0.281733i | −0.0783423 | + | 0.0230034i | ||||
\(151\) | 7.33850 | − | 16.0691i | 0.597199 | − | 1.30768i | −0.333794 | − | 0.942646i | \(-0.608329\pi\) |
0.930993 | − | 0.365037i | \(-0.118944\pi\) | |||||||
\(152\) | 0.953927 | + | 6.63471i | 0.0773737 | + | 0.538146i | ||||
\(153\) | 1.26926 | + | 1.46480i | 0.102613 | + | 0.118422i | ||||
\(154\) | 5.87696 | + | 12.8687i | 0.473579 | + | 1.03699i | ||||
\(155\) | 4.72078 | − | 3.03386i | 0.379182 | − | 0.243685i | ||||
\(156\) | 0.503648 | − | 3.50295i | 0.0403241 | − | 0.280461i | ||||
\(157\) | 4.45741 | + | 2.86460i | 0.355740 | + | 0.228620i | 0.706288 | − | 0.707924i | \(-0.250368\pi\) |
−0.350548 | + | 0.936545i | \(0.614005\pi\) | |||||||
\(158\) | −4.41396 | + | 5.09399i | −0.351156 | + | 0.405256i | ||||
\(159\) | 4.57464 | + | 1.34324i | 0.362793 | + | 0.106526i | ||||
\(160\) | 1.00000 | 0.0790569 | ||||||||
\(161\) | 7.02363 | + | 14.2589i | 0.553540 | + | 1.12376i | ||||
\(162\) | 1.00000 | 0.0785674 | ||||||||
\(163\) | −14.4322 | − | 4.23769i | −1.13042 | − | 0.331921i | −0.337548 | − | 0.941308i | \(-0.609597\pi\) |
−0.792873 | + | 0.609387i | \(0.791416\pi\) | |||||||
\(164\) | 2.31245 | − | 2.66871i | 0.180572 | − | 0.208391i | ||||
\(165\) | −3.59091 | − | 2.30774i | −0.279552 | − | 0.179657i | ||||
\(166\) | −1.30743 | + | 9.09336i | −0.101476 | + | 0.705781i | ||||
\(167\) | −7.52328 | + | 4.83492i | −0.582169 | + | 0.374137i | −0.798330 | − | 0.602221i | \(-0.794283\pi\) |
0.216161 | + | 0.976358i | \(0.430646\pi\) | |||||||
\(168\) | −1.37681 | − | 3.01480i | −0.106223 | − | 0.232597i | ||||
\(169\) | 0.311497 | + | 0.359487i | 0.0239613 | + | 0.0276528i | ||||
\(170\) | 0.275836 | + | 1.91848i | 0.0211556 | + | 0.147141i | ||||
\(171\) | −2.78450 | + | 6.09720i | −0.212936 | + | 0.466265i | ||||
\(172\) | 3.98227 | − | 1.16930i | 0.303646 | − | 0.0891584i | ||||
\(173\) | 15.5942 | − | 4.57887i | 1.18560 | − | 0.348125i | 0.371273 | − | 0.928524i | \(-0.378922\pi\) |
0.814332 | + | 0.580399i | \(0.197103\pi\) | |||||||
\(174\) | 2.74341 | − | 6.00724i | 0.207978 | − | 0.455408i | ||||
\(175\) | 0.471675 | + | 3.28057i | 0.0356553 | + | 0.247988i | ||||
\(176\) | 2.79529 | + | 3.22594i | 0.210703 | + | 0.243164i | ||||
\(177\) | 2.90537 | + | 6.36187i | 0.218381 | + | 0.478187i | ||||
\(178\) | 12.1304 | − | 7.79572i | 0.909210 | − | 0.584314i | ||||
\(179\) | −1.41262 | + | 9.82497i | −0.105584 | + | 0.734352i | 0.866408 | + | 0.499337i | \(0.166423\pi\) |
−0.971992 | + | 0.235015i | \(0.924486\pi\) | |||||||
\(180\) | 0.841254 | + | 0.540641i | 0.0627033 | + | 0.0402970i | ||||
\(181\) | 12.8709 | − | 14.8538i | 0.956687 | − | 1.10408i | −0.0378076 | − | 0.999285i | \(-0.512037\pi\) |
0.994494 | − | 0.104790i | \(-0.0334171\pi\) | |||||||
\(182\) | −11.2541 | − | 3.30451i | −0.834211 | − | 0.244947i | ||||
\(183\) | −1.67267 | −0.123647 | ||||||||
\(184\) | 3.24542 | + | 3.53090i | 0.239255 | + | 0.260301i | ||||
\(185\) | 9.30561 | 0.684162 | ||||||||
\(186\) | −5.38429 | − | 1.58097i | −0.394795 | − | 0.115922i | ||||
\(187\) | −5.41785 | + | 6.25254i | −0.396193 | + | 0.457231i | ||||
\(188\) | 9.37635 | + | 6.02582i | 0.683841 | + | 0.439478i | ||||
\(189\) | 0.471675 | − | 3.28057i | 0.0343093 | − | 0.238627i | ||||
\(190\) | −5.63886 | + | 3.62388i | −0.409086 | + | 0.262904i | ||||
\(191\) | 2.28035 | + | 4.99327i | 0.165000 | + | 0.361300i | 0.974013 | − | 0.226490i | \(-0.0727252\pi\) |
−0.809013 | + | 0.587791i | \(0.799998\pi\) | |||||||
\(192\) | −0.654861 | − | 0.755750i | −0.0472605 | − | 0.0545415i | ||||
\(193\) | −2.21096 | − | 15.3775i | −0.159148 | − | 1.10690i | −0.900208 | − | 0.435460i | \(-0.856586\pi\) |
0.741060 | − | 0.671439i | \(-0.234323\pi\) | |||||||
\(194\) | 7.69466 | − | 16.8489i | 0.552444 | − | 1.20968i | ||||
\(195\) | 3.39562 | − | 0.997044i | 0.243165 | − | 0.0713998i | ||||
\(196\) | −3.82323 | + | 1.12260i | −0.273088 | + | 0.0801858i | ||||
\(197\) | −2.49780 | + | 5.46942i | −0.177961 | + | 0.389680i | −0.977500 | − | 0.210933i | \(-0.932350\pi\) |
0.799539 | + | 0.600614i | \(0.205077\pi\) | |||||||
\(198\) | 0.607474 | + | 4.22508i | 0.0431713 | + | 0.300263i | ||||
\(199\) | −0.193573 | − | 0.223396i | −0.0137221 | − | 0.0158361i | 0.748847 | − | 0.662743i | \(-0.230608\pi\) |
−0.762569 | + | 0.646907i | \(0.776062\pi\) | |||||||
\(200\) | 0.415415 | + | 0.909632i | 0.0293743 | + | 0.0643207i | ||||
\(201\) | 13.2353 | − | 8.50584i | 0.933549 | − | 0.599956i | ||||
\(202\) | 0.122363 | − | 0.851052i | 0.00860942 | − | 0.0598798i | ||||
\(203\) | −18.4132 | − | 11.8334i | −1.29235 | − | 0.830544i | ||||
\(204\) | 1.26926 | − | 1.46480i | 0.0888658 | − | 0.102557i | ||||
\(205\) | 3.38817 | + | 0.994856i | 0.236640 | + | 0.0694838i | ||||
\(206\) | −7.68299 | −0.535299 | ||||||||
\(207\) | 0.821270 | + | 4.72499i | 0.0570822 | + | 0.328409i | ||||
\(208\) | −3.53897 | −0.245384 | ||||||||
\(209\) | −27.4527 | − | 8.06083i | −1.89894 | − | 0.557579i | ||||
\(210\) | 2.17041 | − | 2.50479i | 0.149772 | − | 0.172847i | ||||
\(211\) | 1.24580 | + | 0.800630i | 0.0857647 | + | 0.0551176i | 0.582820 | − | 0.812601i | \(-0.301949\pi\) |
−0.497056 | + | 0.867719i | \(0.665586\pi\) | |||||||
\(212\) | 0.678525 | − | 4.71924i | 0.0466013 | − | 0.324119i | ||||
\(213\) | −3.56774 | + | 2.29285i | −0.244458 | + | 0.157103i | ||||
\(214\) | −0.0936442 | − | 0.205052i | −0.00640139 | − | 0.0140171i | ||||
\(215\) | 2.71793 | + | 3.13666i | 0.185361 | + | 0.213918i | ||||
\(216\) | −0.142315 | − | 0.989821i | −0.00968330 | − | 0.0673488i | ||||
\(217\) | −7.72612 | + | 16.9179i | −0.524483 | + | 1.14846i | ||||
\(218\) | 14.3758 | − | 4.22112i | 0.973652 | − | 0.285890i | ||||
\(219\) | 9.48240 | − | 2.78428i | 0.640761 | − | 0.188144i | ||||
\(220\) | −1.77321 | + | 3.88279i | −0.119550 | + | 0.261777i | ||||
\(221\) | −0.976176 | − | 6.78945i | −0.0656647 | − | 0.456708i | ||||
\(222\) | −6.09388 | − | 7.03271i | −0.408994 | − | 0.472004i | ||||
\(223\) | 7.09048 | + | 15.5260i | 0.474813 | + | 1.03970i | 0.983857 | + | 0.178956i | \(0.0572719\pi\) |
−0.509044 | + | 0.860741i | \(0.670001\pi\) | |||||||
\(224\) | −2.78817 | + | 1.79185i | −0.186293 | + | 0.119723i | ||||
\(225\) | −0.142315 | + | 0.989821i | −0.00948766 | + | 0.0659881i | ||||
\(226\) | −2.40452 | − | 1.54529i | −0.159947 | − | 0.102791i | ||||
\(227\) | −9.09106 | + | 10.4916i | −0.603395 | + | 0.696355i | −0.972466 | − | 0.233046i | \(-0.925131\pi\) |
0.369071 | + | 0.929401i | \(0.379676\pi\) | |||||||
\(228\) | 6.43142 | + | 1.88843i | 0.425931 | + | 0.125065i | ||||
\(229\) | −17.2511 | −1.13999 | −0.569993 | − | 0.821650i | \(-0.693054\pi\) | ||||
−0.569993 | + | 0.821650i | \(0.693054\pi\) | |||||||
\(230\) | −1.86363 | + | 4.41893i | −0.122884 | + | 0.291375i | ||||
\(231\) | 14.1472 | 0.930818 | ||||||||
\(232\) | −6.33652 | − | 1.86057i | −0.416013 | − | 0.122152i | ||||
\(233\) | −2.94776 | + | 3.40189i | −0.193114 | + | 0.222865i | −0.844046 | − | 0.536270i | \(-0.819833\pi\) |
0.650932 | + | 0.759136i | \(0.274378\pi\) | |||||||
\(234\) | −2.97717 | − | 1.91331i | −0.194624 | − | 0.125077i | ||||
\(235\) | −1.58620 | + | 11.0322i | −0.103472 | + | 0.719664i | ||||
\(236\) | 5.88364 | − | 3.78118i | 0.382992 | − | 0.246134i | ||||
\(237\) | 2.80003 | + | 6.13120i | 0.181881 | + | 0.398264i | ||||
\(238\) | −4.20671 | − | 4.85480i | −0.272680 | − | 0.314690i | ||||
\(239\) | −0.438586 | − | 3.05044i | −0.0283698 | − | 0.197316i | 0.970708 | − | 0.240264i | \(-0.0772341\pi\) |
−0.999077 | + | 0.0429480i | \(0.986325\pi\) | |||||||
\(240\) | 0.415415 | − | 0.909632i | 0.0268149 | − | 0.0587165i | ||||
\(241\) | 19.1215 | − | 5.61459i | 1.23173 | − | 0.361668i | 0.399825 | − | 0.916591i | \(-0.369071\pi\) |
0.831901 | + | 0.554924i | \(0.187253\pi\) | |||||||
\(242\) | −6.92783 | + | 2.03419i | −0.445338 | + | 0.130763i | ||||
\(243\) | 0.415415 | − | 0.909632i | 0.0266489 | − | 0.0583529i | ||||
\(244\) | 0.238046 | + | 1.65564i | 0.0152393 | + | 0.105992i | ||||
\(245\) | −2.60938 | − | 3.01138i | −0.166707 | − | 0.192390i | ||||
\(246\) | −1.46692 | − | 3.21210i | −0.0935272 | − | 0.204796i | ||||
\(247\) | 19.9558 | − | 12.8248i | 1.26976 | − | 0.816023i | ||||
\(248\) | −0.798614 | + | 5.55448i | −0.0507120 | + | 0.352710i | ||||
\(249\) | 7.72848 | + | 4.96679i | 0.489773 | + | 0.314758i | ||||
\(250\) | −0.654861 | + | 0.755750i | −0.0414170 | + | 0.0477978i | ||||
\(251\) | −6.19845 | − | 1.82003i | −0.391243 | − | 0.114879i | 0.0801937 | − | 0.996779i | \(-0.474446\pi\) |
−0.471436 | + | 0.881900i | \(0.656264\pi\) | |||||||
\(252\) | −3.31431 | −0.208782 | ||||||||
\(253\) | −19.4645 | + | 6.34024i | −1.22373 | + | 0.398607i | ||||
\(254\) | −15.5043 | −0.972829 | ||||||||
\(255\) | 1.85970 | + | 0.546057i | 0.116459 | + | 0.0341954i | ||||
\(256\) | −0.654861 | + | 0.755750i | −0.0409288 | + | 0.0472343i | ||||
\(257\) | 16.1965 | + | 10.4088i | 1.01031 | + | 0.649286i | 0.937473 | − | 0.348058i | \(-0.113159\pi\) |
0.0728353 | + | 0.997344i | \(0.476795\pi\) | |||||||
\(258\) | 0.590663 | − | 4.10815i | 0.0367731 | − | 0.255762i | ||||
\(259\) | −25.9456 | + | 16.6742i | −1.61218 | + | 1.03609i | ||||
\(260\) | −1.47014 | − | 3.21916i | −0.0911744 | − | 0.199644i | ||||
\(261\) | −4.32472 | − | 4.99099i | −0.267693 | − | 0.308935i | ||||
\(262\) | −1.41868 | − | 9.86717i | −0.0876466 | − | 0.609596i | ||||
\(263\) | 9.26861 | − | 20.2954i | 0.571527 | − | 1.25147i | −0.374454 | − | 0.927246i | \(-0.622170\pi\) |
0.945981 | − | 0.324223i | \(-0.105103\pi\) | |||||||
\(264\) | 4.09562 | − | 1.20258i | 0.252068 | − | 0.0740138i | ||||
\(265\) | 4.57464 | − | 1.34324i | 0.281018 | − | 0.0825144i | ||||
\(266\) | 9.22868 | − | 20.2080i | 0.565847 | − | 1.23903i | ||||
\(267\) | −2.05210 | − | 14.2726i | −0.125586 | − | 0.873471i | ||||
\(268\) | −10.3028 | − | 11.8901i | −0.629347 | − | 0.726305i | ||||
\(269\) | −4.93070 | − | 10.7967i | −0.300630 | − | 0.658288i | 0.697680 | − | 0.716410i | \(-0.254216\pi\) |
−0.998309 | + | 0.0581223i | \(0.981489\pi\) | |||||||
\(270\) | 0.841254 | − | 0.540641i | 0.0511971 | − | 0.0329024i | ||||
\(271\) | 0.126793 | − | 0.881862i | 0.00770210 | − | 0.0535693i | −0.985608 | − | 0.169047i | \(-0.945931\pi\) |
0.993310 | + | 0.115478i | \(0.0368400\pi\) | |||||||
\(272\) | −1.63053 | − | 1.04787i | −0.0988651 | − | 0.0635367i | ||||
\(273\) | −7.68102 | + | 8.86437i | −0.464877 | + | 0.536496i | ||||
\(274\) | 11.6085 | + | 3.40857i | 0.701296 | + | 0.205919i | ||||
\(275\) | −4.26852 | −0.257402 | ||||||||
\(276\) | 4.56002 | − | 1.48535i | 0.274481 | − | 0.0894074i | ||||
\(277\) | 11.0736 | 0.665351 | 0.332676 | − | 0.943041i | \(-0.392049\pi\) | ||||
0.332676 | + | 0.943041i | \(0.392049\pi\) | |||||||
\(278\) | −3.30929 | − | 0.971696i | −0.198478 | − | 0.0582785i | ||||
\(279\) | −3.67482 | + | 4.24096i | −0.220006 | + | 0.253900i | ||||
\(280\) | −2.78817 | − | 1.79185i | −0.166625 | − | 0.107084i | ||||
\(281\) | −1.93387 | + | 13.4503i | −0.115365 | + | 0.802380i | 0.847189 | + | 0.531291i | \(0.178293\pi\) |
−0.962554 | + | 0.271089i | \(0.912616\pi\) | |||||||
\(282\) | 9.37635 | − | 6.02582i | 0.558354 | − | 0.358832i | ||||
\(283\) | 11.1431 | + | 24.4000i | 0.662389 | + | 1.45043i | 0.880279 | + | 0.474456i | \(0.157355\pi\) |
−0.217891 | + | 0.975973i | \(0.569918\pi\) | |||||||
\(284\) | 2.77725 | + | 3.20512i | 0.164800 | + | 0.190189i | ||||
\(285\) | 0.953927 | + | 6.63471i | 0.0565057 | + | 0.393006i | ||||
\(286\) | 6.27534 | − | 13.7411i | 0.371069 | − | 0.812527i | ||||
\(287\) | −11.2294 | + | 3.29726i | −0.662853 | + | 0.194631i | ||||
\(288\) | −0.959493 | + | 0.281733i | −0.0565387 | + | 0.0166013i | ||||
\(289\) | −5.50148 | + | 12.0466i | −0.323617 | + | 0.708622i | ||||
\(290\) | −0.939852 | − | 6.53681i | −0.0551900 | − | 0.383855i | ||||
\(291\) | −12.1299 | − | 13.9986i | −0.711065 | − | 0.820613i | ||||
\(292\) | −4.10543 | − | 8.98964i | −0.240252 | − | 0.526079i | ||||
\(293\) | 25.1311 | − | 16.1508i | 1.46818 | − | 0.943540i | 0.470033 | − | 0.882649i | \(-0.344242\pi\) |
0.998144 | − | 0.0608913i | \(-0.0193943\pi\) | |||||||
\(294\) | −0.567072 | + | 3.94407i | −0.0330723 | + | 0.230023i | ||||
\(295\) | 5.88364 | + | 3.78118i | 0.342559 | + | 0.220149i | ||||
\(296\) | −6.09388 | + | 7.03271i | −0.354199 | + | 0.408768i | ||||
\(297\) | 4.09562 | + | 1.20258i | 0.237652 | + | 0.0697809i | ||||
\(298\) | 21.8543 | 1.26598 | ||||||||
\(299\) | 6.59532 | − | 15.6385i | 0.381417 | − | 0.904395i | ||||
\(300\) | 1.00000 | 0.0577350 | ||||||||
\(301\) | −13.1985 | − | 3.87542i | −0.760748 | − | 0.223376i | ||||
\(302\) | −11.5684 | + | 13.3507i | −0.665688 | + | 0.768245i | ||||
\(303\) | −0.723313 | − | 0.464845i | −0.0415533 | − | 0.0267047i | ||||
\(304\) | 0.953927 | − | 6.63471i | 0.0547114 | − | 0.380526i | ||||
\(305\) | −1.40714 | + | 0.904314i | −0.0805726 | + | 0.0517809i | ||||
\(306\) | −0.805161 | − | 1.76306i | −0.0460280 | − | 0.100787i | ||||
\(307\) | 9.90948 | + | 11.4361i | 0.565564 | + | 0.652695i | 0.964438 | − | 0.264310i | \(-0.0851443\pi\) |
−0.398874 | + | 0.917006i | \(0.630599\pi\) | |||||||
\(308\) | −2.01336 | − | 14.0032i | −0.114722 | − | 0.797907i | ||||
\(309\) | −3.19163 | + | 6.98869i | −0.181565 | + | 0.397573i | ||||
\(310\) | −5.38429 | + | 1.58097i | −0.305807 | + | 0.0897931i | ||||
\(311\) | −30.2337 | + | 8.87742i | −1.71440 | + | 0.503392i | −0.983778 | − | 0.179393i | \(-0.942587\pi\) |
−0.730619 | + | 0.682785i | \(0.760769\pi\) | |||||||
\(312\) | −1.47014 | + | 3.21916i | −0.0832304 | + | 0.182249i | ||||
\(313\) | 0.115527 | + | 0.803511i | 0.00652999 | + | 0.0454171i | 0.992826 | − | 0.119569i | \(-0.0381512\pi\) |
−0.986296 | + | 0.164986i | \(0.947242\pi\) | |||||||
\(314\) | −3.46980 | − | 4.00437i | −0.195812 | − | 0.225979i | ||||
\(315\) | −1.37681 | − | 3.01480i | −0.0775746 | − | 0.169865i | ||||
\(316\) | 5.67031 | − | 3.64409i | 0.318980 | − | 0.204996i | ||||
\(317\) | 1.69785 | − | 11.8088i | 0.0953608 | − | 0.663249i | −0.884935 | − | 0.465714i | \(-0.845797\pi\) |
0.980296 | − | 0.197535i | \(-0.0632935\pi\) | |||||||
\(318\) | −4.01091 | − | 2.57765i | −0.224920 | − | 0.144548i | ||||
\(319\) | 18.4602 | − | 21.3042i | 1.03357 | − | 1.19280i | ||||
\(320\) | −0.959493 | − | 0.281733i | −0.0536373 | − | 0.0157493i | ||||
\(321\) | −0.225423 | −0.0125819 | ||||||||
\(322\) | −2.72194 | − | 15.6601i | −0.151688 | − | 0.872701i | ||||
\(323\) | 12.9917 | 0.722877 | ||||||||
\(324\) | −0.959493 | − | 0.281733i | −0.0533052 | − | 0.0156518i | ||||
\(325\) | 2.31753 | − | 2.67458i | 0.128554 | − | 0.148359i | ||||
\(326\) | 12.6537 | + | 8.13206i | 0.700826 | + | 0.450393i | ||||
\(327\) | 2.13226 | − | 14.8302i | 0.117914 | − | 0.820112i | ||||
\(328\) | −2.97064 | + | 1.90912i | −0.164026 | + | 0.105413i | ||||
\(329\) | −15.3455 | − | 33.6020i | −0.846027 | − | 1.85254i | ||||
\(330\) | 2.79529 | + | 3.22594i | 0.153876 | + | 0.177582i | ||||
\(331\) | −2.44124 | − | 16.9792i | −0.134183 | − | 0.933263i | −0.940019 | − | 0.341123i | \(-0.889193\pi\) |
0.805836 | − | 0.592139i | \(-0.201716\pi\) | |||||||
\(332\) | 3.81636 | − | 8.35667i | 0.209450 | − | 0.458632i | ||||
\(333\) | −8.92866 | + | 2.62169i | −0.489288 | + | 0.143668i | ||||
\(334\) | 8.58068 | − | 2.51952i | 0.469514 | − | 0.137862i | ||||
\(335\) | 6.53568 | − | 14.3111i | 0.357082 | − | 0.781901i | ||||
\(336\) | 0.471675 | + | 3.28057i | 0.0257320 | + | 0.178970i | ||||
\(337\) | −4.55753 | − | 5.25967i | −0.248264 | − | 0.286512i | 0.617916 | − | 0.786244i | \(-0.287977\pi\) |
−0.866180 | + | 0.499732i | \(0.833432\pi\) | |||||||
\(338\) | −0.197600 | − | 0.432684i | −0.0107480 | − | 0.0235349i | ||||
\(339\) | −2.40452 | + | 1.54529i | −0.130596 | + | 0.0839289i | ||||
\(340\) | 0.275836 | − | 1.91848i | 0.0149593 | − | 0.104044i | ||||
\(341\) | −20.1508 | − | 12.9501i | −1.09122 | − | 0.701288i | ||||
\(342\) | 4.38949 | − | 5.06574i | 0.237356 | − | 0.273924i | ||||
\(343\) | −9.58903 | − | 2.81559i | −0.517759 | − | 0.152028i | ||||
\(344\) | −4.15039 | −0.223774 | ||||||||
\(345\) | 3.24542 | + | 3.53090i | 0.174727 | + | 0.190097i | ||||
\(346\) | −16.2525 | −0.873742 | ||||||||
\(347\) | 30.6347 | + | 8.99515i | 1.64455 | + | 0.482885i | 0.967463 | − | 0.253014i | \(-0.0814217\pi\) |
0.677092 | + | 0.735898i | \(0.263240\pi\) | |||||||
\(348\) | −4.32472 | + | 4.99099i | −0.231829 | + | 0.267545i | ||||
\(349\) | 14.0680 | + | 9.04093i | 0.753041 | + | 0.483950i | 0.859988 | − | 0.510315i | \(-0.170471\pi\) |
−0.106947 | + | 0.994265i | \(0.534107\pi\) | |||||||
\(350\) | 0.471675 | − | 3.28057i | 0.0252121 | − | 0.175354i | ||||
\(351\) | −2.97717 | + | 1.91331i | −0.158910 | + | 0.102125i | ||||
\(352\) | −1.77321 | − | 3.88279i | −0.0945124 | − | 0.206953i | ||||
\(353\) | −10.9733 | − | 12.6639i | −0.584051 | − | 0.674031i | 0.384420 | − | 0.923158i | \(-0.374402\pi\) |
−0.968471 | + | 0.249128i | \(0.919856\pi\) | |||||||
\(354\) | −0.995335 | − | 6.92270i | −0.0529014 | − | 0.367938i | ||||
\(355\) | −1.76177 | + | 3.85773i | −0.0935050 | + | 0.204747i | ||||
\(356\) | −13.8353 | + | 4.06242i | −0.733270 | + | 0.215308i | ||||
\(357\) | −6.16361 | + | 1.80980i | −0.326213 | + | 0.0957847i | ||||
\(358\) | 4.12341 | − | 9.02901i | 0.217929 | − | 0.477198i | ||||
\(359\) | −3.69844 | − | 25.7232i | −0.195196 | − | 1.35762i | −0.817990 | − | 0.575233i | \(-0.804912\pi\) |
0.622794 | − | 0.782386i | \(-0.285998\pi\) | |||||||
\(360\) | −0.654861 | − | 0.755750i | −0.0345142 | − | 0.0398315i | ||||
\(361\) | 10.7714 | + | 23.5861i | 0.566917 | + | 1.24137i | ||||
\(362\) | −16.5343 | + | 10.6260i | −0.869026 | + | 0.558489i | ||||
\(363\) | −1.02756 | + | 7.14681i | −0.0539327 | + | 0.375110i | ||||
\(364\) | 9.86727 | + | 6.34131i | 0.517185 | + | 0.332375i | ||||
\(365\) | 6.47180 | − | 7.46886i | 0.338750 | − | 0.390938i | ||||
\(366\) | 1.60492 | + | 0.471246i | 0.0838903 | + | 0.0246324i | ||||
\(367\) | −32.6264 | −1.70309 | −0.851543 | − | 0.524285i | \(-0.824333\pi\) | ||||
−0.851543 | + | 0.524285i | \(0.824333\pi\) | |||||||
\(368\) | −2.11919 | − | 4.30221i | −0.110470 | − | 0.224268i | ||||
\(369\) | −3.53121 | −0.183827 | ||||||||
\(370\) | −8.92866 | − | 2.62169i | −0.464179 | − | 0.136295i | ||||
\(371\) | −10.3480 | + | 11.9423i | −0.537242 | + | 0.620011i | ||||
\(372\) | 4.72078 | + | 3.03386i | 0.244761 | + | 0.157298i | ||||
\(373\) | 2.65996 | − | 18.5004i | 0.137728 | − | 0.957916i | −0.797361 | − | 0.603502i | \(-0.793771\pi\) |
0.935089 | − | 0.354414i | \(-0.115319\pi\) | |||||||
\(374\) | 6.95994 | − | 4.47288i | 0.359890 | − | 0.231287i | ||||
\(375\) | 0.415415 | + | 0.909632i | 0.0214519 | + | 0.0469732i | ||||
\(376\) | −7.29887 | − | 8.42335i | −0.376411 | − | 0.434401i | ||||
\(377\) | 3.32611 | + | 23.1336i | 0.171303 | + | 1.19144i | ||||
\(378\) | −1.37681 | + | 3.01480i | −0.0708156 | + | 0.155065i | ||||
\(379\) | −9.25596 | + | 2.71779i | −0.475446 | + | 0.139604i | −0.510672 | − | 0.859776i | \(-0.670603\pi\) |
0.0352253 | + | 0.999379i | \(0.488785\pi\) | |||||||
\(380\) | 6.43142 | − | 1.88843i | 0.329925 | − | 0.0968746i | ||||
\(381\) | −6.44074 | + | 14.1033i | −0.329969 | + | 0.722531i | ||||
\(382\) | −0.781213 | − | 5.43345i | −0.0399703 | − | 0.278000i | ||||
\(383\) | 10.9349 | + | 12.6196i | 0.558748 | + | 0.644830i | 0.962899 | − | 0.269863i | \(-0.0869783\pi\) |
−0.404151 | + | 0.914692i | \(0.632433\pi\) | |||||||
\(384\) | 0.415415 | + | 0.909632i | 0.0211991 | + | 0.0464195i | ||||
\(385\) | 11.9014 | − | 7.64855i | 0.606551 | − | 0.389806i | ||||
\(386\) | −2.21096 | + | 15.3775i | −0.112535 | + | 0.782696i | ||||
\(387\) | −3.49153 | − | 2.24387i | −0.177485 | − | 0.114062i | ||||
\(388\) | −12.1299 | + | 13.9986i | −0.615801 | + | 0.710672i | ||||
\(389\) | 13.1831 | + | 3.87090i | 0.668408 | + | 0.196262i | 0.598294 | − | 0.801277i | \(-0.295845\pi\) |
0.0701141 | + | 0.997539i | \(0.477664\pi\) | |||||||
\(390\) | −3.53897 | −0.179203 | ||||||||
\(391\) | 7.66917 | − | 5.25232i | 0.387847 | − | 0.265621i | ||||
\(392\) | 3.98463 | 0.201254 | ||||||||
\(393\) | −9.56483 | − | 2.80849i | −0.482482 | − | 0.141669i | ||||
\(394\) | 3.93754 | − | 4.54416i | 0.198370 | − | 0.228932i | ||||
\(395\) | 5.67031 | + | 3.64409i | 0.285304 | + | 0.183354i | ||||
\(396\) | 0.607474 | − | 4.22508i | 0.0305267 | − | 0.212318i | ||||
\(397\) | −16.6176 | + | 10.6795i | −0.834015 | + | 0.535989i | −0.886551 | − | 0.462630i | \(-0.846906\pi\) |
0.0525365 | + | 0.998619i | \(0.483269\pi\) | |||||||
\(398\) | 0.122794 | + | 0.268882i | 0.00615513 | + | 0.0134779i | ||||
\(399\) | −14.5481 | − | 16.7894i | −0.728316 | − | 0.840522i | ||||
\(400\) | −0.142315 | − | 0.989821i | −0.00711574 | − | 0.0494911i | ||||
\(401\) | −12.8432 | + | 28.1226i | −0.641357 | + | 1.40438i | 0.257563 | + | 0.966262i | \(0.417081\pi\) |
−0.898919 | + | 0.438114i | \(0.855647\pi\) | |||||||
\(402\) | −15.0956 | + | 4.43247i | −0.752900 | + | 0.221071i | ||||
\(403\) | 19.0549 | − | 5.59501i | 0.949190 | − | 0.278707i | ||||
\(404\) | −0.357176 | + | 0.782105i | −0.0177701 | + | 0.0389112i | ||||
\(405\) | −0.142315 | − | 0.989821i | −0.00707168 | − | 0.0491846i | ||||
\(406\) | 14.3335 | + | 16.5417i | 0.711357 | + | 0.820950i | ||||
\(407\) | −16.5008 | − | 36.1317i | −0.817914 | − | 1.79098i | ||||
\(408\) | −1.63053 | + | 1.04787i | −0.0807230 | + | 0.0518775i | ||||
\(409\) | −2.55859 | + | 17.7954i | −0.126514 | + | 0.879925i | 0.823410 | + | 0.567446i | \(0.192069\pi\) |
−0.949925 | + | 0.312479i | \(0.898841\pi\) | |||||||
\(410\) | −2.97064 | − | 1.90912i | −0.146710 | − | 0.0942845i | ||||
\(411\) | 7.92289 | − | 9.14351i | 0.390808 | − | 0.451016i | ||||
\(412\) | 7.37177 | + | 2.16455i | 0.363181 | + | 0.106640i | ||||
\(413\) | −23.1799 | −1.14061 | ||||||||
\(414\) | 0.543180 | − | 4.76497i | 0.0266958 | − | 0.234186i | ||||
\(415\) | 9.18686 | 0.450965 | ||||||||
\(416\) | 3.39562 | + | 0.997044i | 0.166484 | + | 0.0488841i | ||||
\(417\) | −2.25862 | + | 2.60658i | −0.110605 | + | 0.127645i | ||||
\(418\) | 24.0696 | + | 15.4686i | 1.17728 | + | 0.756595i | ||||
\(419\) | −2.65205 | + | 18.4454i | −0.129561 | + | 0.901116i | 0.816550 | + | 0.577274i | \(0.195884\pi\) |
−0.946111 | + | 0.323842i | \(0.895025\pi\) | |||||||
\(420\) | −2.78817 | + | 1.79185i | −0.136049 | + | 0.0874333i | ||||
\(421\) | −2.28600 | − | 5.00564i | −0.111413 | − | 0.243960i | 0.845710 | − | 0.533643i | \(-0.179177\pi\) |
−0.957123 | + | 0.289683i | \(0.906450\pi\) | |||||||
\(422\) | −0.969777 | − | 1.11918i | −0.0472080 | − | 0.0544810i | ||||
\(423\) | −1.58620 | − | 11.0322i | −0.0771235 | − | 0.536406i | ||||
\(424\) | −1.98060 | + | 4.33692i | −0.0961867 | + | 0.210619i | ||||
\(425\) | 1.85970 | − | 0.546057i | 0.0902086 | − | 0.0264876i | ||||
\(426\) | 4.06919 | − | 1.19482i | 0.197153 | − | 0.0578894i | ||||
\(427\) | 2.30295 | − | 5.04277i | 0.111448 | − | 0.244037i | ||||
\(428\) | 0.0320811 | + | 0.223129i | 0.00155070 | + | 0.0107853i | ||||
\(429\) | −9.89245 | − | 11.4165i | −0.477612 | − | 0.551194i | ||||
\(430\) | −1.72414 | − | 3.77533i | −0.0831452 | − | 0.182063i | ||||
\(431\) | −3.89628 | + | 2.50399i | −0.187677 | + | 0.120613i | −0.631105 | − | 0.775697i | \(-0.717399\pi\) |
0.443428 | + | 0.896310i | \(0.353762\pi\) | |||||||
\(432\) | −0.142315 | + | 0.989821i | −0.00684713 | + | 0.0476228i | ||||
\(433\) | −7.40979 | − | 4.76198i | −0.356092 | − | 0.228846i | 0.350348 | − | 0.936620i | \(-0.386063\pi\) |
−0.706439 | + | 0.707774i | \(0.749700\pi\) | |||||||
\(434\) | 12.1795 | − | 14.0559i | 0.584633 | − | 0.674703i | ||||
\(435\) | −6.33652 | − | 1.86057i | −0.303813 | − | 0.0892075i | ||||
\(436\) | −14.9827 | −0.717542 | ||||||||
\(437\) | 27.5405 | + | 16.5799i | 1.31744 | + | 0.793126i | ||||
\(438\) | −9.88272 | −0.472214 | ||||||||
\(439\) | −0.680280 | − | 0.199748i | −0.0324680 | − | 0.00953346i | 0.265458 | − | 0.964122i | \(-0.414477\pi\) |
−0.297926 | + | 0.954589i | \(0.596295\pi\) | |||||||
\(440\) | 2.79529 | − | 3.22594i | 0.133260 | − | 0.153790i | ||||
\(441\) | 3.35209 | + | 2.15425i | 0.159623 | + | 0.102584i | ||||
\(442\) | −0.976176 | + | 6.78945i | −0.0464319 | + | 0.322941i | ||||
\(443\) | −5.29152 | + | 3.40065i | −0.251407 | + | 0.161570i | −0.660275 | − | 0.751024i | \(-0.729560\pi\) |
0.408867 | + | 0.912594i | \(0.365924\pi\) | |||||||
\(444\) | 3.86569 | + | 8.46468i | 0.183457 | + | 0.401716i | ||||
\(445\) | −9.44270 | − | 10.8975i | −0.447627 | − | 0.516589i | ||||
\(446\) | −2.42909 | − | 16.8947i | −0.115021 | − | 0.799987i | ||||
\(447\) | 9.07860 | − | 19.8794i | 0.429403 | − | 0.940261i | ||||
\(448\) | 3.18005 | − | 0.933748i | 0.150243 | − | 0.0441155i | ||||
\(449\) | 16.9314 | − | 4.97152i | 0.799044 | − | 0.234620i | 0.143374 | − | 0.989669i | \(-0.454205\pi\) |
0.655669 | + | 0.755048i | \(0.272387\pi\) | |||||||
\(450\) | 0.415415 | − | 0.909632i | 0.0195829 | − | 0.0428805i | ||||
\(451\) | −2.14512 | − | 14.9196i | −0.101010 | − | 0.702538i | ||||
\(452\) | 1.87176 | + | 2.16013i | 0.0880404 | + | 0.101604i | ||||
\(453\) | 7.33850 | + | 16.0691i | 0.344793 | + | 0.754991i | ||||
\(454\) | 11.6787 | − | 7.50541i | 0.548106 | − | 0.352246i | ||||
\(455\) | −1.66925 | + | 11.6099i | −0.0782554 | + | 0.544279i | ||||
\(456\) | −5.63886 | − | 3.62388i | −0.264064 | − | 0.169704i | ||||
\(457\) | 6.93567 | − | 8.00419i | 0.324437 | − | 0.374420i | −0.569977 | − | 0.821661i | \(-0.693048\pi\) |
0.894414 | + | 0.447241i | \(0.147593\pi\) | |||||||
\(458\) | 16.5523 | + | 4.86020i | 0.773439 | + | 0.227102i | ||||
\(459\) | −1.93821 | −0.0904678 | ||||||||
\(460\) | 3.03309 | − | 3.71488i | 0.141419 | − | 0.173207i | ||||
\(461\) | −14.8143 | −0.689969 | −0.344984 | − | 0.938608i | \(-0.612116\pi\) | ||||
−0.344984 | + | 0.938608i | \(0.612116\pi\) | |||||||
\(462\) | −13.5741 | − | 3.98573i | −0.631526 | − | 0.185433i | ||||
\(463\) | 22.8239 | − | 26.3402i | 1.06072 | − | 1.22413i | 0.0870375 | − | 0.996205i | \(-0.472260\pi\) |
0.973678 | − | 0.227926i | \(-0.0731945\pi\) | |||||||
\(464\) | 5.55566 | + | 3.57041i | 0.257915 | + | 0.165752i | ||||
\(465\) | −0.798614 | + | 5.55448i | −0.0370348 | + | 0.257583i | ||||
\(466\) | 3.78677 | − | 2.43361i | 0.175419 | − | 0.112735i | ||||
\(467\) | −12.0725 | − | 26.4350i | −0.558647 | − | 1.22327i | −0.952625 | − | 0.304147i | \(-0.901629\pi\) |
0.393978 | − | 0.919120i | \(-0.371099\pi\) | |||||||
\(468\) | 2.31753 | + | 2.67458i | 0.107128 | + | 0.123632i | ||||
\(469\) | 7.42081 | + | 51.6129i | 0.342661 | + | 2.38326i | ||||
\(470\) | 4.63009 | − | 10.1385i | 0.213570 | − | 0.467653i | ||||
\(471\) | −5.08391 | + | 1.49277i | −0.234254 | + | 0.0687832i | ||||
\(472\) | −6.71059 | + | 1.97041i | −0.308880 | + | 0.0906953i | ||||
\(473\) | 7.35952 | − | 16.1151i | 0.338391 | − | 0.740973i | ||||
\(474\) | −0.959246 | − | 6.67170i | −0.0440596 | − | 0.306441i | ||||
\(475\) | 4.38949 | + | 5.06574i | 0.201403 | + | 0.232432i | ||||
\(476\) | 2.66855 | + | 5.84331i | 0.122313 | + | 0.267828i | ||||
\(477\) | −4.01091 | + | 2.57765i | −0.183647 | + | 0.118023i | ||||
\(478\) | −0.438586 | + | 3.05044i | −0.0200605 | + | 0.139524i | ||||
\(479\) | 23.6497 | + | 15.1987i | 1.08058 | + | 0.694447i | 0.954692 | − | 0.297597i | \(-0.0961852\pi\) |
0.125889 | + | 0.992044i | \(0.459822\pi\) | |||||||
\(480\) | −0.654861 | + | 0.755750i | −0.0298902 | + | 0.0344951i | ||||
\(481\) | 31.5983 | + | 9.27810i | 1.44076 | + | 0.423045i | ||||
\(482\) | −19.9288 | −0.907732 | ||||||||
\(483\) | −15.3756 | − | 4.02946i | −0.699615 | − | 0.183347i | ||||
\(484\) | 7.22030 | 0.328196 | ||||||||
\(485\) | −17.7725 | − | 5.21848i | −0.807008 | − | 0.236959i | ||||
\(486\) | −0.654861 | + | 0.755750i | −0.0297051 | + | 0.0342815i | ||||
\(487\) | 24.8323 | + | 15.9587i | 1.12526 | + | 0.723160i | 0.964565 | − | 0.263844i | \(-0.0849906\pi\) |
0.160694 | + | 0.987004i | \(0.448627\pi\) | |||||||
\(488\) | 0.238046 | − | 1.65564i | 0.0107758 | − | 0.0749475i | ||||
\(489\) | 12.6537 | − | 8.13206i | 0.572222 | − | 0.367745i | ||||
\(490\) | 1.65528 | + | 3.62455i | 0.0747777 | + | 0.163740i | ||||
\(491\) | −6.75516 | − | 7.79587i | −0.304856 | − | 0.351823i | 0.582564 | − | 0.812785i | \(-0.302050\pi\) |
−0.887420 | + | 0.460962i | \(0.847504\pi\) | |||||||
\(492\) | 0.502543 | + | 3.49527i | 0.0226564 | + | 0.157579i | ||||
\(493\) | −5.31731 | + | 11.6433i | −0.239480 | + | 0.524387i | ||||
\(494\) | −22.7606 | + | 6.68312i | −1.02405 | + | 0.300688i | ||||
\(495\) | 4.09562 | − | 1.20258i | 0.184084 | − | 0.0540521i | ||||
\(496\) | 2.33114 | − | 5.10449i | 0.104671 | − | 0.229198i | ||||
\(497\) | −2.00037 | − | 13.9129i | −0.0897287 | − | 0.624077i | ||||
\(498\) | −6.01612 | − | 6.94297i | −0.269589 | − | 0.311122i | ||||
\(499\) | −16.2638 | − | 35.6127i | −0.728067 | − | 1.59424i | −0.802242 | − | 0.596998i | \(-0.796360\pi\) |
0.0741757 | − | 0.997245i | \(-0.476367\pi\) | |||||||
\(500\) | 0.841254 | − | 0.540641i | 0.0376220 | − | 0.0241782i | ||||
\(501\) | 1.27271 | − | 8.85191i | 0.0568606 | − | 0.395474i | ||||
\(502\) | 5.43461 | + | 3.49261i | 0.242558 | + | 0.155883i | ||||
\(503\) | 1.96368 | − | 2.26621i | 0.0875562 | − | 0.101045i | −0.710281 | − | 0.703918i | \(-0.751432\pi\) |
0.797837 | + | 0.602873i | \(0.205978\pi\) | |||||||
\(504\) | 3.18005 | + | 0.933748i | 0.141651 | + | 0.0415925i | ||||
\(505\) | −0.859804 | −0.0382608 | ||||||||
\(506\) | 20.4623 | − | 0.599620i | 0.909662 | − | 0.0266564i | ||||
\(507\) | −0.475669 | −0.0211252 | ||||||||
\(508\) | 14.8763 | + | 4.36808i | 0.660030 | + | 0.193802i | ||||
\(509\) | −7.48385 | + | 8.63682i | −0.331716 | + | 0.382820i | −0.896966 | − | 0.442099i | \(-0.854234\pi\) |
0.565251 | + | 0.824919i | \(0.308779\pi\) | |||||||
\(510\) | −1.63053 | − | 1.04787i | −0.0722009 | − | 0.0464007i | ||||
\(511\) | −4.66143 | + | 32.4210i | −0.206210 | + | 1.43422i | ||||
\(512\) | 0.841254 | − | 0.540641i | 0.0371785 | − | 0.0238932i | ||||
\(513\) | −2.78450 | − | 6.09720i | −0.122939 | − | 0.269198i | ||||
\(514\) | −12.6079 | − | 14.5503i | −0.556110 | − | 0.641785i | ||||
\(515\) | 1.09340 | + | 7.60478i | 0.0481811 | + | 0.335107i | ||||
\(516\) | −1.72414 | + | 3.77533i | −0.0759009 | + | 0.166200i | ||||
\(517\) | 45.6485 | − | 13.4036i | 2.00762 | − | 0.589490i | ||||
\(518\) | 29.5923 | − | 8.68909i | 1.30021 | − | 0.381777i | ||||
\(519\) | −6.75155 | + | 14.7838i | −0.296360 | + | 0.648938i | ||||
\(520\) | 0.503648 | + | 3.50295i | 0.0220864 | + | 0.153615i | ||||
\(521\) | 9.55233 | + | 11.0240i | 0.418495 | + | 0.482969i | 0.925378 | − | 0.379046i | \(-0.123748\pi\) |
−0.506883 | + | 0.862015i | \(0.669202\pi\) | |||||||
\(522\) | 2.74341 | + | 6.00724i | 0.120076 | + | 0.262930i | ||||
\(523\) | 32.8485 | − | 21.1104i | 1.43636 | − | 0.923095i | 0.436638 | − | 0.899637i | \(-0.356169\pi\) |
0.999725 | − | 0.0234575i | \(-0.00746745\pi\) | |||||||
\(524\) | −1.41868 | + | 9.86717i | −0.0619755 | + | 0.431049i | ||||
\(525\) | −2.78817 | − | 1.79185i | −0.121686 | − | 0.0782027i | ||||
\(526\) | −14.6110 | + | 16.8620i | −0.637072 | + | 0.735220i | ||||
\(527\) | 10.4359 | + | 3.06425i | 0.454594 | + | 0.133481i | ||||
\(528\) | −4.26852 | −0.185764 | ||||||||
\(529\) | 22.9605 | − | 1.34681i | 0.998284 | − | 0.0585569i | ||||
\(530\) | −4.76777 | −0.207099 | ||||||||
\(531\) | −6.71059 | − | 1.97041i | −0.291215 | − | 0.0855084i | ||||
\(532\) | −14.5481 | + | 16.7894i | −0.630740 | + | 0.727913i | ||||
\(533\) | 10.5130 | + | 6.75631i | 0.455369 | + | 0.292648i | ||||
\(534\) | −2.05210 | + | 14.2726i | −0.0888028 | + | 0.617637i | ||||
\(535\) | −0.189638 | + | 0.121873i | −0.00819877 | + | 0.00526903i | ||||
\(536\) | 6.53568 | + | 14.3111i | 0.282298 | + | 0.618147i | ||||
\(537\) | −6.50015 | − | 7.50157i | −0.280502 | − | 0.323717i | ||||
\(538\) | 1.68918 | + | 11.7485i | 0.0728258 | + | 0.506514i | ||||
\(539\) | −7.06559 | + | 15.4715i | −0.304336 | + | 0.666404i | ||||
\(540\) | −0.959493 | + | 0.281733i | −0.0412900 | + | 0.0121238i | ||||
\(541\) | 9.01585 | − | 2.64729i | 0.387622 | − | 0.113816i | −0.0821143 | − | 0.996623i | \(-0.526167\pi\) |
0.469736 | + | 0.882807i | \(0.344349\pi\) | |||||||
\(542\) | −0.370106 | + | 0.810419i | −0.0158974 | + | 0.0348105i | ||||
\(543\) | 2.79711 | + | 19.4544i | 0.120036 | + | 0.834867i | ||||
\(544\) | 1.26926 | + | 1.46480i | 0.0544189 | + | 0.0628028i | ||||
\(545\) | −6.22404 | − | 13.6288i | −0.266609 | − | 0.583792i | ||||
\(546\) | 9.86727 | − | 6.34131i | 0.422280 | − | 0.271383i | ||||
\(547\) | −3.47911 | + | 24.1977i | −0.148756 | + | 1.03462i | 0.769504 | + | 0.638642i | \(0.220504\pi\) |
−0.918260 | + | 0.395978i | \(0.870406\pi\) | |||||||
\(548\) | −10.1780 | − | 6.54099i | −0.434782 | − | 0.279417i | ||||
\(549\) | 1.09537 | − | 1.26412i | 0.0467491 | − | 0.0539513i | ||||
\(550\) | 4.09562 | + | 1.20258i | 0.174638 | + | 0.0512783i | ||||
\(551\) | −44.2664 | −1.88581 | ||||||||
\(552\) | −4.79377 | + | 0.140475i | −0.204037 | + | 0.00597901i | ||||
\(553\) | −22.3395 | −0.949970 | ||||||||
\(554\) | −10.6251 | − | 3.11981i | −0.451417 | − | 0.132548i | ||||
\(555\) | −6.09388 | + | 7.03271i | −0.258671 | + | 0.298522i | ||||
\(556\) | 2.90149 | + | 1.86467i | 0.123050 | + | 0.0790797i | ||||
\(557\) | −3.51429 | + | 24.4424i | −0.148905 | + | 1.03566i | 0.769111 | + | 0.639116i | \(0.220700\pi\) |
−0.918016 | + | 0.396544i | \(0.870210\pi\) | |||||||
\(558\) | 4.72078 | − | 3.03386i | 0.199846 | − | 0.128434i | ||||
\(559\) | 6.10167 | + | 13.3608i | 0.258073 | + | 0.565101i | ||||
\(560\) | 2.17041 | + | 2.50479i | 0.0917165 | + | 0.105847i | ||||
\(561\) | −1.17741 | − | 8.18908i | −0.0497104 | − | 0.345743i | ||||
\(562\) | 5.64493 | − | 12.3607i | 0.238117 | − | 0.521404i | ||||
\(563\) | −6.35603 | + | 1.86630i | −0.267875 | + | 0.0786551i | −0.412912 | − | 0.910771i | \(-0.635488\pi\) |
0.145037 | + | 0.989426i | \(0.453670\pi\) | |||||||
\(564\) | −10.6942 | + | 3.14010i | −0.450308 | + | 0.132222i | ||||
\(565\) | −1.18737 | + | 2.59997i | −0.0499529 | + | 0.109381i | ||||
\(566\) | −3.81746 | − | 26.5510i | −0.160460 | − | 1.11602i | ||||
\(567\) | 2.17041 | + | 2.50479i | 0.0911486 | + | 0.105191i | ||||
\(568\) | −1.76177 | − | 3.85773i | −0.0739222 | − | 0.161867i | ||||
\(569\) | 20.5874 | − | 13.2307i | 0.863070 | − | 0.554661i | −0.0325558 | − | 0.999470i | \(-0.510365\pi\) |
0.895626 | + | 0.444809i | \(0.146728\pi\) | |||||||
\(570\) | 0.953927 | − | 6.63471i | 0.0399556 | − | 0.277897i | ||||
\(571\) | −14.4526 | − | 9.28815i | −0.604824 | − | 0.388697i | 0.202089 | − | 0.979367i | \(-0.435227\pi\) |
−0.806913 | + | 0.590670i | \(0.798863\pi\) | |||||||
\(572\) | −9.89245 | + | 11.4165i | −0.413624 | + | 0.477348i | ||||
\(573\) | −5.26697 | − | 1.54652i | −0.220031 | − | 0.0646069i | ||||
\(574\) | 11.7035 | 0.488495 | ||||||||
\(575\) | 4.63917 | + | 1.21578i | 0.193467 | + | 0.0507014i | ||||
\(576\) | 1.00000 | 0.0416667 | ||||||||
\(577\) | 7.24920 | + | 2.12856i | 0.301788 | + | 0.0886130i | 0.429121 | − | 0.903247i | \(-0.358823\pi\) |
−0.127333 | + | 0.991860i | \(0.540642\pi\) | |||||||
\(578\) | 8.67255 | − | 10.0087i | 0.360730 | − | 0.416305i | ||||
\(579\) | 13.0694 | + | 8.39921i | 0.543147 | + | 0.349059i | ||||
\(580\) | −0.939852 | + | 6.53681i | −0.0390252 | + | 0.271426i | ||||
\(581\) | −25.6146 | + | 16.4615i | −1.06267 | + | 0.682937i | ||||
\(582\) | 7.69466 | + | 16.8489i | 0.318954 | + | 0.698411i | ||||
\(583\) | −13.3273 | − | 15.3805i | −0.551961 | − | 0.636996i | ||||
\(584\) | 1.40646 | + | 9.78212i | 0.0581996 | + | 0.404787i | ||||
\(585\) | −1.47014 | + | 3.21916i | −0.0607829 | + | 0.133096i | ||||
\(586\) | −28.6634 | + | 8.41632i | −1.18407 | + | 0.347675i | ||||
\(587\) | 8.32196 | − | 2.44355i | 0.343484 | − | 0.100856i | −0.105441 | − | 0.994426i | \(-0.533625\pi\) |
0.448925 | + | 0.893570i | \(0.351807\pi\) | |||||||
\(588\) | 1.65528 | − | 3.62455i | 0.0682624 | − | 0.149474i | ||||
\(589\) | 5.35305 | + | 37.2313i | 0.220569 | + | 1.53409i | ||||
\(590\) | −4.58003 | − | 5.28563i | −0.188557 | − | 0.217606i | ||||
\(591\) | −2.49780 | − | 5.46942i | −0.102746 | − | 0.224982i | ||||
\(592\) | 7.82837 | − | 5.03099i | 0.321744 | − | 0.206772i | ||||
\(593\) | 5.18234 | − | 36.0439i | 0.212813 | − | 1.48015i | −0.550889 | − | 0.834578i | \(-0.685711\pi\) |
0.763702 | − | 0.645569i | \(-0.223380\pi\) | |||||||
\(594\) | −3.59091 | − | 2.30774i | −0.147337 | − | 0.0946877i | ||||
\(595\) | −4.20671 | + | 4.85480i | −0.172458 | + | 0.199027i | ||||
\(596\) | −20.9690 | − | 6.15706i | −0.858925 | − | 0.252203i | ||||
\(597\) | 0.295595 | 0.0120979 | ||||||||
\(598\) | −10.7340 | + | 13.1469i | −0.438947 | + | 0.537616i | ||||
\(599\) | 7.14771 | 0.292048 | 0.146024 | − | 0.989281i | \(-0.453352\pi\) | ||||
0.146024 | + | 0.989281i | \(0.453352\pi\) | |||||||
\(600\) | −0.959493 | − | 0.281733i | −0.0391711 | − | 0.0115017i | ||||
\(601\) | −8.96900 | + | 10.3508i | −0.365853 | + | 0.422217i | −0.908592 | − | 0.417684i | \(-0.862842\pi\) |
0.542739 | + | 0.839901i | \(0.317387\pi\) | |||||||
\(602\) | 11.5720 | + | 7.43688i | 0.471640 | + | 0.303105i | ||||
\(603\) | −2.23902 | + | 15.5727i | −0.0911801 | + | 0.634171i | ||||
\(604\) | 14.8611 | − | 9.55067i | 0.604691 | − | 0.388611i | ||||
\(605\) | 2.99942 | + | 6.56782i | 0.121944 | + | 0.267020i | ||||
\(606\) | 0.563052 | + | 0.649797i | 0.0228724 | + | 0.0263962i | ||||
\(607\) | −3.56487 | − | 24.7942i | −0.144694 | − | 1.00637i | −0.924728 | − | 0.380629i | \(-0.875707\pi\) |
0.780034 | − | 0.625737i | \(-0.215202\pi\) | |||||||
\(608\) | −2.78450 | + | 6.09720i | −0.112926 | + | 0.247274i | ||||
\(609\) | 21.0012 | − | 6.16650i | 0.851011 | − | 0.249879i | ||||
\(610\) | 1.60492 | − | 0.471246i | 0.0649811 | − | 0.0190802i | ||||
\(611\) | −16.3858 | + | 35.8798i | −0.662897 | + | 1.45154i | ||||
\(612\) | 0.275836 | + | 1.91848i | 0.0111500 | + | 0.0775500i | ||||
\(613\) | 0.636851 | + | 0.734965i | 0.0257222 | + | 0.0296850i | 0.768465 | − | 0.639892i | \(-0.221021\pi\) |
−0.742743 | + | 0.669577i | \(0.766475\pi\) | |||||||
\(614\) | −6.28614 | − | 13.7647i | −0.253688 | − | 0.555499i | ||||
\(615\) | −2.97064 | + | 1.90912i | −0.119788 | + | 0.0769830i | ||||
\(616\) | −2.01336 | + | 14.0032i | −0.0811205 | + | 0.564205i | ||||
\(617\) | 36.6268 | + | 23.5386i | 1.47454 | + | 0.947629i | 0.997639 | + | 0.0686721i | \(0.0218762\pi\) |
0.476901 | + | 0.878957i | \(0.341760\pi\) | |||||||
\(618\) | 5.03129 | − | 5.80641i | 0.202388 | − | 0.233568i | ||||
\(619\) | −30.2163 | − | 8.87231i | −1.21450 | − | 0.356608i | −0.389118 | − | 0.921188i | \(-0.627220\pi\) |
−0.825379 | + | 0.564580i | \(0.809038\pi\) | |||||||
\(620\) | 5.61160 | 0.225367 | ||||||||
\(621\) | −4.10873 | − | 2.47353i | −0.164877 | − | 0.0992595i | ||||
\(622\) | 31.5101 | 1.26344 | ||||||||
\(623\) | 45.8545 | + | 13.4641i | 1.83712 | + | 0.539428i | ||||
\(624\) | 2.31753 | − | 2.67458i | 0.0927756 | − | 0.107069i | ||||
\(625\) | 0.841254 | + | 0.540641i | 0.0336501 | + | 0.0216256i | ||||
\(626\) | 0.115527 | − | 0.803511i | 0.00461740 | − | 0.0321147i | ||||
\(627\) | 24.0696 | − | 15.4686i | 0.961249 | − | 0.617757i | ||||
\(628\) | 2.20109 | + | 4.81972i | 0.0878331 | + | 0.192328i | ||||
\(629\) | 11.8112 | + | 13.6309i | 0.470944 | + | 0.543498i | ||||
\(630\) | 0.471675 | + | 3.28057i | 0.0187920 | + | 0.130701i | ||||
\(631\) | 6.05183 | − | 13.2517i | 0.240920 | − | 0.527540i | −0.750089 | − | 0.661337i | \(-0.769990\pi\) |
0.991009 | + | 0.133796i | \(0.0427168\pi\) | |||||||
\(632\) | −6.46728 | + | 1.89896i | −0.257255 | + | 0.0755368i | ||||
\(633\) | −1.42090 | + | 0.417215i | −0.0564759 | + | 0.0165828i | ||||
\(634\) | −4.95600 | + | 10.8521i | −0.196828 | + | 0.430993i | ||||
\(635\) | 2.20650 | + | 15.3465i | 0.0875622 | + | 0.609009i | ||||
\(636\) | 3.12223 | + | 3.60324i | 0.123804 | + | 0.142878i | ||||
\(637\) | −5.85798 | − | 12.8272i | −0.232102 | − | 0.508231i | ||||
\(638\) | −23.7145 | + | 15.2404i | −0.938866 | + | 0.603372i | ||||
\(639\) | 0.603555 | − | 4.19782i | 0.0238763 | − | 0.166063i | ||||
\(640\) | 0.841254 | + | 0.540641i | 0.0332535 | + | 0.0213707i | ||||
\(641\) | 26.8708 | − | 31.0105i | 1.06133 | − | 1.22484i | 0.0878354 | − | 0.996135i | \(-0.472005\pi\) |
0.973496 | − | 0.228706i | \(-0.0734495\pi\) | |||||||
\(642\) | 0.216292 | + | 0.0635091i | 0.00853637 | + | 0.00250650i | ||||
\(643\) | −13.0456 | −0.514470 | −0.257235 | − | 0.966349i | \(-0.582811\pi\) | ||||
−0.257235 | + | 0.966349i | \(0.582811\pi\) | |||||||
\(644\) | −1.80027 | + | 15.7926i | −0.0709404 | + | 0.622315i | ||||
\(645\) | −4.15039 | −0.163422 | ||||||||
\(646\) | −12.4654 | − | 3.66018i | −0.490446 | − | 0.144008i | ||||
\(647\) | 2.19122 | − | 2.52880i | 0.0861456 | − | 0.0994174i | −0.711040 | − | 0.703151i | \(-0.751776\pi\) |
0.797186 | + | 0.603734i | \(0.206321\pi\) | |||||||
\(648\) | 0.841254 | + | 0.540641i | 0.0330476 | + | 0.0212384i | ||||
\(649\) | 4.24861 | − | 29.5497i | 0.166773 | − | 1.15993i | ||||
\(650\) | −2.97717 | + | 1.91331i | −0.116774 | + | 0.0750463i | ||||
\(651\) | −7.72612 | − | 16.9179i | −0.302811 | − | 0.663063i | ||||
\(652\) | −9.85011 | − | 11.3676i | −0.385760 | − | 0.445191i | ||||
\(653\) | −3.24450 | − | 22.5660i | −0.126967 | − | 0.883076i | −0.949368 | − | 0.314167i | \(-0.898275\pi\) |
0.822400 | − | 0.568909i | \(-0.192634\pi\) | |||||||
\(654\) | −6.22404 | + | 13.6288i | −0.243379 | + | 0.532926i | ||||
\(655\) | −9.56483 | + | 2.80849i | −0.373729 | + | 0.109737i | ||||
\(656\) | 3.38817 | − | 0.994856i | 0.132286 | − | 0.0388426i | ||||
\(657\) | −4.10543 | + | 8.98964i | −0.160168 | + | 0.350719i | ||||
\(658\) | 5.25714 | + | 36.5642i | 0.204945 | + | 1.42542i | ||||
\(659\) | 9.48701 | + | 10.9486i | 0.369562 | + | 0.426497i | 0.909820 | − | 0.415002i | \(-0.136219\pi\) |
−0.540259 | + | 0.841499i | \(0.681674\pi\) | |||||||
\(660\) | −1.77321 | − | 3.88279i | −0.0690221 | − | 0.151137i | ||||
\(661\) | −26.9491 | + | 17.3191i | −1.04820 | + | 0.673635i | −0.947001 | − | 0.321231i | \(-0.895903\pi\) |
−0.101196 | + | 0.994866i | \(0.532267\pi\) | |||||||
\(662\) | −2.44124 | + | 16.9792i | −0.0948816 | + | 0.659916i | ||||
\(663\) | 5.77038 | + | 3.70840i | 0.224103 | + | 0.144022i | ||||
\(664\) | −6.01612 | + | 6.94297i | −0.233471 | + | 0.269439i | ||||
\(665\) | −21.3157 | − | 6.25885i | −0.826587 | − | 0.242708i | ||||
\(666\) | 9.30561 | 0.360585 | ||||||||
\(667\) | −26.1310 | + | 17.8962i | −1.01180 | + | 0.692942i | ||||
\(668\) | −8.94294 | −0.346013 | ||||||||
\(669\) | −16.3770 | − | 4.80873i | −0.633172 | − | 0.185916i | ||||
\(670\) | −10.3028 | + | 11.8901i | −0.398034 | + | 0.459355i | ||||
\(671\) | 6.00641 | + | 3.86009i | 0.231875 | + | 0.149017i | ||||
\(672\) | 0.471675 | − | 3.28057i | 0.0181953 | − | 0.126551i | ||||
\(673\) | −15.4238 | + | 9.91224i | −0.594542 | + | 0.382089i | −0.803032 | − | 0.595935i | \(-0.796781\pi\) |
0.208490 | + | 0.978024i | \(0.433145\pi\) | |||||||
\(674\) | 2.89110 | + | 6.33062i | 0.111361 | + | 0.243846i | ||||
\(675\) | −0.654861 | − | 0.755750i | −0.0252056 | − | 0.0290888i | ||||
\(676\) | 0.0676948 | + | 0.470827i | 0.00260364 | + | 0.0181087i | ||||
\(677\) | 2.99201 | − | 6.55159i | 0.114992 | − | 0.251798i | −0.843381 | − | 0.537316i | \(-0.819438\pi\) |
0.958373 | + | 0.285518i | \(0.0921655\pi\) | |||||||
\(678\) | 2.74248 | − | 0.805266i | 0.105324 | − | 0.0309261i | ||||
\(679\) | 58.9036 | − | 17.2956i | 2.26051 | − | 0.663746i | ||||
\(680\) | −0.805161 | + | 1.76306i | −0.0308765 | + | 0.0676101i | ||||
\(681\) | −1.97568 | − | 13.7411i | −0.0757081 | − | 0.526561i | ||||
\(682\) | 15.6860 | + | 18.1027i | 0.600650 | + | 0.693187i | ||||
\(683\) | 16.3449 | + | 35.7904i | 0.625421 | + | 1.36948i | 0.911510 | + | 0.411278i | \(0.134917\pi\) |
−0.286089 | + | 0.958203i | \(0.592355\pi\) | |||||||
\(684\) | −5.63886 | + | 3.62388i | −0.215607 | + | 0.138562i | ||||
\(685\) | 1.72181 | − | 11.9754i | 0.0657870 | − | 0.457558i | ||||
\(686\) | 8.40737 | + | 5.40309i | 0.320995 | + | 0.206291i | ||||
\(687\) | 11.2971 | − | 13.0375i | 0.431010 | − | 0.497413i | ||||
\(688\) | 3.98227 | + | 1.16930i | 0.151823 | + | 0.0445792i | ||||
\(689\) | 16.8730 | 0.642811 | ||||||||
\(690\) | −2.11919 | − | 4.30221i | −0.0806760 | − | 0.163783i | ||||
\(691\) | −30.1405 | −1.14660 | −0.573300 | − | 0.819346i | \(-0.694337\pi\) | ||||
−0.573300 | + | 0.819346i | \(0.694337\pi\) | |||||||
\(692\) | 15.5942 | + | 4.57887i | 0.592802 | + | 0.174063i | ||||
\(693\) | −9.26445 | + | 10.6917i | −0.351927 | + | 0.406146i | ||||
\(694\) | −26.8595 | − | 17.2616i | −1.01957 | − | 0.655240i | ||||
\(695\) | −0.490844 | + | 3.41390i | −0.0186188 | + | 0.129496i | ||||
\(696\) | 5.55566 | − | 3.57041i | 0.210587 | − | 0.135336i | ||||
\(697\) | 2.84319 | + | 6.22572i | 0.107694 | + | 0.235816i | ||||
\(698\) | −10.9510 | − | 12.6381i | −0.414501 | − | 0.478360i | ||||
\(699\) | −0.640609 | − | 4.45553i | −0.0242300 | − | 0.168524i | ||||
\(700\) | −1.37681 | + | 3.01480i | −0.0520386 | + | 0.113949i | ||||
\(701\) | 31.9238 | − | 9.37366i | 1.20574 | − | 0.354038i | 0.383697 | − | 0.923459i | \(-0.374651\pi\) |
0.822046 | + | 0.569421i | \(0.192832\pi\) | |||||||
\(702\) | 3.39562 | − | 0.997044i | 0.128159 | − | 0.0376310i | ||||
\(703\) | −25.9114 | + | 56.7382i | −0.977269 | + | 2.13992i | ||||
\(704\) | 0.607474 | + | 4.22508i | 0.0228951 | + | 0.159239i | ||||
\(705\) | −7.29887 | − | 8.42335i | −0.274892 | − | 0.317242i | ||||
\(706\) | 6.96099 | + | 15.2424i | 0.261980 | + | 0.573657i | ||||
\(707\) | 2.39728 | − | 1.54064i | 0.0901591 | − | 0.0579417i | ||||
\(708\) | −0.995335 | + | 6.92270i | −0.0374070 | + | 0.260171i | ||||
\(709\) | −4.10606 | − | 2.63880i | −0.154206 | − | 0.0991023i | 0.461262 | − | 0.887264i | \(-0.347397\pi\) |
−0.615468 | + | 0.788162i | \(0.711033\pi\) | |||||||
\(710\) | 2.77725 | − | 3.20512i | 0.104228 | − | 0.120286i | ||||
\(711\) | −6.46728 | − | 1.89896i | −0.242542 | − | 0.0712167i | ||||
\(712\) | 14.4194 | 0.540390 | ||||||||
\(713\) | 18.2120 | + | 19.8140i | 0.682044 | + | 0.742040i | ||||
\(714\) | 6.42382 | 0.240405 | ||||||||
\(715\) | −14.4943 | − | 4.25591i | −0.542056 | − | 0.159162i | ||||
\(716\) | −6.50015 | + | 7.50157i | −0.242922 | + | 0.280347i | ||||
\(717\) | 2.59258 | + | 1.66615i | 0.0968216 | + | 0.0622235i | ||||
\(718\) | −3.69844 | + | 25.7232i | −0.138024 | + | 0.959981i | ||||
\(719\) | −25.3218 | + | 16.2734i | −0.944346 | + | 0.606894i | −0.919624 | − | 0.392800i | \(-0.871506\pi\) |
−0.0247218 | + | 0.999694i | \(0.507870\pi\) | |||||||
\(720\) | 0.415415 | + | 0.909632i | 0.0154816 | + | 0.0339000i | ||||
\(721\) | −16.6752 | − | 19.2442i | −0.621018 | − | 0.716693i | ||||
\(722\) | −3.69012 | − | 25.6654i | −0.137332 | − | 0.955166i | ||||
\(723\) | −8.27872 | + | 18.1279i | −0.307889 | + | 0.674183i | ||||
\(724\) | 18.8583 | − | 5.53729i | 0.700862 | − | 0.205792i | ||||
\(725\) | −6.33652 | + | 1.86057i | −0.235332 | + | 0.0690999i | ||||
\(726\) | 2.99942 | − | 6.56782i | 0.111319 | − | 0.243755i | ||||
\(727\) | −1.53688 | − | 10.6892i | −0.0569997 | − | 0.396442i | −0.998270 | − | 0.0587889i | \(-0.981276\pi\) |
0.941271 | − | 0.337653i | \(-0.109633\pi\) | |||||||
\(728\) | −7.68102 | − | 8.86437i | −0.284678 | − | 0.328535i | ||||
\(729\) | 0.415415 | + | 0.909632i | 0.0153857 | + | 0.0336901i | ||||
\(730\) | −8.31387 | + | 5.34300i | −0.307710 | + | 0.197753i | ||||
\(731\) | −1.14483 | + | 7.96245i | −0.0423430 | + | 0.294502i | ||||
\(732\) | −1.40714 | − | 0.904314i | −0.0520094 | − | 0.0334244i | ||||
\(733\) | −4.83042 | + | 5.57460i | −0.178416 | + | 0.205903i | −0.837912 | − | 0.545805i | \(-0.816224\pi\) |
0.659497 | + | 0.751707i | \(0.270769\pi\) | |||||||
\(734\) | 31.3048 | + | 9.19193i | 1.15548 | + | 0.339280i | ||||
\(735\) | 3.98463 | 0.146975 | ||||||||
\(736\) | 0.821270 | + | 4.72499i | 0.0302724 | + | 0.174165i | ||||
\(737\) | −67.1562 | −2.47373 | ||||||||
\(738\) | 3.38817 | + | 0.994856i | 0.124720 | + | 0.0366212i | ||||
\(739\) | 0.204970 | − | 0.236548i | 0.00753995 | − | 0.00870157i | −0.751967 | − | 0.659201i | \(-0.770895\pi\) |
0.759507 | + | 0.650499i | \(0.225440\pi\) | |||||||
\(740\) | 7.82837 | + | 5.03099i | 0.287777 | + | 0.184943i | ||||
\(741\) | −3.37592 | + | 23.4800i | −0.124018 | + | 0.862561i | ||||
\(742\) | 13.2934 | − | 8.54313i | 0.488015 | − | 0.313628i | ||||
\(743\) | −7.62234 | − | 16.6906i | −0.279636 | − | 0.612318i | 0.716743 | − | 0.697337i | \(-0.245632\pi\) |
−0.996379 | + | 0.0850192i | \(0.972905\pi\) | |||||||
\(744\) | −3.67482 | − | 4.24096i | −0.134725 | − | 0.155481i | ||||
\(745\) | −3.11019 | − | 21.6318i | −0.113949 | − | 0.792529i | ||||
\(746\) | −7.76439 | + | 17.0016i | −0.284274 | + | 0.622474i | ||||
\(747\) | −8.81473 | + | 2.58824i | −0.322514 | + | 0.0946987i | ||||
\(748\) | −7.93817 | + | 2.33086i | −0.290248 | + | 0.0852245i | ||||
\(749\) | 0.310366 | − | 0.679606i | 0.0113405 | − | 0.0248323i | ||||
\(750\) | −0.142315 | − | 0.989821i | −0.00519660 | − | 0.0361432i | ||||
\(751\) | −10.1717 | − | 11.7388i | −0.371171 | − | 0.428354i | 0.539181 | − | 0.842190i | \(-0.318734\pi\) |
−0.910351 | + | 0.413836i | \(0.864189\pi\) | |||||||
\(752\) | 4.63009 | + | 10.1385i | 0.168842 | + | 0.369712i | ||||
\(753\) | 5.43461 | − | 3.49261i | 0.198048 | − | 0.127278i | ||||
\(754\) | 3.32611 | − | 23.1336i | 0.121130 | − | 0.842476i | ||||
\(755\) | 14.8611 | + | 9.55067i | 0.540852 | + | 0.347585i | ||||
\(756\) | 2.17041 | − | 2.50479i | 0.0789370 | − | 0.0910982i | ||||
\(757\) | 22.3284 | + | 6.55621i | 0.811540 | + | 0.238290i | 0.661069 | − | 0.750325i | \(-0.270103\pi\) |
0.150471 | + | 0.988614i | \(0.451921\pi\) | |||||||
\(758\) | 9.64672 | 0.350384 | ||||||||
\(759\) | 7.95493 | − | 18.8623i | 0.288746 | − | 0.684658i | ||||
\(760\) | −6.70293 | −0.243141 | ||||||||
\(761\) | −10.7811 | − | 3.16560i | −0.390813 | − | 0.114753i | 0.0804216 | − | 0.996761i | \(-0.474373\pi\) |
−0.471235 | + | 0.882008i | \(0.656192\pi\) | |||||||
\(762\) | 10.1532 | − | 11.7174i | 0.367811 | − | 0.424477i | ||||
\(763\) | 41.7744 | + | 26.8468i | 1.51233 | + | 0.971918i | ||||
\(764\) | −0.781213 | + | 5.43345i | −0.0282633 | + | 0.196575i | ||||
\(765\) | −1.63053 | + | 1.04787i | −0.0589518 | + | 0.0378860i | ||||
\(766\) | −6.93663 | − | 15.1891i | −0.250631 | − | 0.548805i | ||||
\(767\) | 16.2086 | + | 18.7057i | 0.585258 | + | 0.675424i | ||||
\(768\) | −0.142315 | − | 0.989821i | −0.00513534 | − | 0.0357171i | ||||
\(769\) | 7.11398 | − | 15.5774i | 0.256537 | − | 0.561737i | −0.736916 | − | 0.675985i | \(-0.763719\pi\) |
0.993452 | + | 0.114248i | \(0.0364458\pi\) | |||||||
\(770\) | −13.5741 | + | 3.98573i | −0.489178 | + | 0.143636i | ||||
\(771\) | −18.4729 | + | 5.42414i | −0.665286 | + | 0.195345i | ||||
\(772\) | 6.45375 | − | 14.1317i | 0.232275 | − | 0.508612i | ||||
\(773\) | −6.21607 | − | 43.2337i | −0.223576 | − | 1.55501i | −0.724352 | − | 0.689431i | \(-0.757861\pi\) |
0.500775 | − | 0.865577i | \(-0.333048\pi\) | |||||||
\(774\) | 2.71793 | + | 3.13666i | 0.0976940 | + | 0.112745i | ||||
\(775\) | 2.33114 | + | 5.10449i | 0.0837371 | + | 0.183359i | ||||
\(776\) | 15.5824 | − | 10.0142i | 0.559375 | − | 0.359489i | ||||
\(777\) | 4.38922 | − | 30.5277i | 0.157462 | − | 1.09518i | ||||
\(778\) | −11.5585 | − | 7.42820i | −0.414392 | − | 0.266314i | ||||
\(779\) | −15.5002 | + | 17.8882i | −0.555352 | + | 0.640910i | ||||
\(780\) | 3.39562 | + | 0.997044i | 0.121583 | + | 0.0356999i | ||||
\(781\) | 18.1027 | 0.647767 | ||||||||
\(782\) | −8.83826 | + | 2.87891i | −0.316056 | + | 0.102950i | ||||
\(783\) | 6.60403 | 0.236009 | ||||||||
\(784\) | −3.82323 | − | 1.12260i | −0.136544 | − | 0.0400929i | ||||
\(785\) | −3.46980 | + | 4.00437i | −0.123843 | + | 0.142922i | ||||
\(786\) | 8.38615 | + | 5.38945i | 0.299124 | + | 0.192235i | ||||
\(787\) | 2.32865 | − | 16.1961i | 0.0830074 | − | 0.577329i | −0.905291 | − | 0.424793i | \(-0.860347\pi\) |
0.988298 | − | 0.152536i | \(-0.0487440\pi\) | |||||||
\(788\) | −5.05828 | + | 3.25076i | −0.180194 | + | 0.115803i | ||||
\(789\) | 9.26861 | + | 20.2954i | 0.329971 | + | 0.722536i | ||||
\(790\) | −4.41396 | − | 5.09399i | −0.157042 | − | 0.181236i | ||||
\(791\) | −1.34817 | − | 9.37674i | −0.0479355 | − | 0.333399i | ||||
\(792\) | −1.77321 | + | 3.88279i | −0.0630082 | + | 0.137969i | ||||
\(793\) | −5.67975 | + | 1.66773i | −0.201694 | + | 0.0592227i | ||||
\(794\) | 18.9533 | − | 5.56518i | 0.672626 | − | 0.197501i | ||||
\(795\) | −1.98060 | + | 4.33692i | −0.0702448 | + | 0.153815i | ||||
\(796\) | −0.0420675 | − | 0.292586i | −0.00149104 | − | 0.0103704i | ||||
\(797\) | 9.23099 | + | 10.6531i | 0.326978 | + | 0.377353i | 0.895308 | − | 0.445448i | \(-0.146956\pi\) |
−0.568329 | + | 0.822801i | \(0.692410\pi\) | |||||||
\(798\) | 9.22868 | + | 20.2080i | 0.326692 | + | 0.715355i | ||||
\(799\) | −18.1733 | + | 11.6793i | −0.642926 | + | 0.413184i | ||||
\(800\) | −0.142315 | + | 0.989821i | −0.00503159 | + | 0.0349955i | ||||
\(801\) | 12.1304 | + | 7.79572i | 0.428606 | + | 0.275448i | ||||
\(802\) | 20.2460 | − | 23.3651i | 0.714910 | − | 0.825050i | ||||
\(803\) | −40.4758 | − | 11.8848i | −1.42836 | − | 0.419405i | ||||
\(804\) | 15.7329 | 0.554856 | ||||||||
\(805\) | −15.1133 | + | 4.92290i | −0.532674 | + | 0.173509i | ||||
\(806\) | −19.8593 | −0.699514 | ||||||||
\(807\) | 11.3885 | + | 3.34398i | 0.400895 | + | 0.117714i | ||||
\(808\) | 0.563052 | − | 0.649797i | 0.0198081 | − | 0.0228598i | ||||
\(809\) | 6.37773 | + | 4.09872i | 0.224229 | + | 0.144103i | 0.647933 | − | 0.761698i | \(-0.275634\pi\) |
−0.423704 | + | 0.905801i | \(0.639270\pi\) | |||||||
\(810\) | −0.142315 | + | 0.989821i | −0.00500043 | + | 0.0347788i | ||||
\(811\) | 19.6622 | − | 12.6361i | 0.690433 | − | 0.443714i | −0.147807 | − | 0.989016i | \(-0.547221\pi\) |
0.838240 | + | 0.545302i | \(0.183585\pi\) | |||||||
\(812\) | −9.09252 | − | 19.9098i | −0.319085 | − | 0.698698i | ||||
\(813\) | 0.583435 | + | 0.673320i | 0.0204620 | + | 0.0236144i | ||||
\(814\) | 5.65292 | + | 39.3169i | 0.198135 | + | 1.37806i | ||||
\(815\) | 6.24848 | − | 13.6823i | 0.218875 | − | 0.479269i | ||||
\(816\) | 1.85970 | − | 0.546057i | 0.0651024 | − | 0.0191158i | ||||
\(817\) | −26.6929 | + | 7.83775i | −0.933867 | + | 0.274208i | ||||
\(818\) | 7.46849 | − | 16.3537i | 0.261130 | − | 0.571794i | ||||
\(819\) | −1.66925 | − | 11.6099i | −0.0583282 | − | 0.405681i | ||||
\(820\) | 2.31245 | + | 2.66871i | 0.0807542 | + | 0.0931954i | ||||
\(821\) | −16.6536 | − | 36.4663i | −0.581215 | − | 1.27268i | −0.940607 | − | 0.339497i | \(-0.889743\pi\) |
0.359392 | − | 0.933187i | \(-0.382984\pi\) | |||||||
\(822\) | −10.1780 | + | 6.54099i | −0.354998 | + | 0.228143i | ||||
\(823\) | −6.44030 | + | 44.7932i | −0.224495 | + | 1.56139i | 0.496241 | + | 0.868185i | \(0.334713\pi\) |
−0.720736 | + | 0.693210i | \(0.756196\pi\) | |||||||
\(824\) | −6.46334 | − | 4.15374i | −0.225161 | − | 0.144702i | ||||
\(825\) | 2.79529 | − | 3.22594i | 0.0973195 | − | 0.112313i | ||||
\(826\) | 22.2410 | + | 6.53053i | 0.773862 | + | 0.227226i | ||||
\(827\) | 12.2699 | 0.426666 | 0.213333 | − | 0.976980i | \(-0.431568\pi\) | ||||
0.213333 | + | 0.976980i | \(0.431568\pi\) | |||||||
\(828\) | −1.86363 | + | 4.41893i | −0.0647655 | + | 0.153568i | ||||
\(829\) | 28.3016 | 0.982957 | 0.491478 | − | 0.870890i | \(-0.336457\pi\) | ||||
0.491478 | + | 0.870890i | \(0.336457\pi\) | |||||||
\(830\) | −8.81473 | − | 2.58824i | −0.305964 | − | 0.0898391i | ||||
\(831\) | −7.25170 | + | 8.36891i | −0.251559 | + | 0.290314i | ||||
\(832\) | −2.97717 | − | 1.91331i | −0.103215 | − | 0.0663322i | ||||
\(833\) | 1.09910 | − | 7.64444i | 0.0380817 | − | 0.264864i | ||||
\(834\) | 2.90149 | − | 1.86467i | 0.100470 | − | 0.0645683i | ||||
\(835\) | −3.71503 | − | 8.13478i | −0.128564 | − | 0.281516i | ||||
\(836\) | −18.7366 | − | 21.6232i | −0.648020 | − | 0.747855i | ||||
\(837\) | −0.798614 | − | 5.55448i | −0.0276041 | − | 0.191991i | ||||
\(838\) | 7.74128 | − | 16.9510i | 0.267418 | − | 0.585564i | ||||
\(839\) | 21.7156 | − | 6.37626i | 0.749705 | − | 0.220133i | 0.115510 | − | 0.993306i | \(-0.463150\pi\) |
0.634195 | + | 0.773173i | \(0.281332\pi\) | |||||||
\(840\) | 3.18005 | − | 0.933748i | 0.109722 | − | 0.0322174i | ||||
\(841\) | 6.07055 | − | 13.2927i | 0.209329 | − | 0.458367i | ||||
\(842\) | 0.783148 | + | 5.44691i | 0.0269891 | + | 0.187713i | ||||
\(843\) | −8.89868 | − | 10.2696i | −0.306487 | − | 0.353704i | ||||
\(844\) | 0.615184 | + | 1.34707i | 0.0211755 | + | 0.0463679i | ||||
\(845\) | −0.400158 | + | 0.257166i | −0.0137659 | + | 0.00884678i | ||||
\(846\) | −1.58620 | + | 11.0322i | −0.0545346 | + | 0.379296i | ||||
\(847\) | −20.1314 | − | 12.9377i | −0.691725 | − | 0.444545i | ||||
\(848\) | 3.12223 | − | 3.60324i | 0.107218 | − | 0.123736i | ||||
\(849\) | −25.7375 | − | 7.55720i | −0.883307 | − | 0.259362i | ||||
\(850\) | −1.93821 | −0.0664800 | ||||||||
\(851\) | 7.64242 | + | 43.9689i | 0.261979 | + | 1.50723i | ||||
\(852\) | −4.24098 | −0.145294 | ||||||||
\(853\) | −20.6878 | − | 6.07450i | −0.708338 | − | 0.207987i | −0.0923322 | − | 0.995728i | \(-0.529432\pi\) |
−0.616006 | + | 0.787741i | \(0.711250\pi\) | |||||||
\(854\) | −3.63038 | + | 4.18968i | −0.124229 | + | 0.143368i | ||||
\(855\) | −5.63886 | − | 3.62388i | −0.192845 | − | 0.123934i | ||||
\(856\) | 0.0320811 | − | 0.223129i | 0.00109651 | − | 0.00762638i | ||||
\(857\) | 32.2003 | − | 20.6939i | 1.09994 | − | 0.706890i | 0.140864 | − | 0.990029i | \(-0.455012\pi\) |
0.959079 | + | 0.283139i | \(0.0913756\pi\) | |||||||
\(858\) | 6.27534 | + | 13.7411i | 0.214237 | + | 0.469113i | ||||
\(859\) | −32.6956 | − | 37.7328i | −1.11556 | − | 1.28743i | −0.953749 | − | 0.300604i | \(-0.902812\pi\) |
−0.161811 | − | 0.986822i | \(-0.551734\pi\) | |||||||
\(860\) | 0.590663 | + | 4.10815i | 0.0201414 | + | 0.140087i | ||||
\(861\) | 4.86181 | − | 10.6459i | 0.165690 | − | 0.362811i | ||||
\(862\) | 4.44391 | − | 1.30485i | 0.151360 | − | 0.0444434i | ||||
\(863\) | 52.3532 | − | 15.3723i | 1.78212 | − | 0.523279i | 0.786572 | − | 0.617498i | \(-0.211854\pi\) |
0.995551 | + | 0.0942198i | \(0.0300357\pi\) | |||||||
\(864\) | 0.415415 | − | 0.909632i | 0.0141327 | − | 0.0309463i | ||||
\(865\) | 2.31298 | + | 16.0871i | 0.0786436 | + | 0.546978i | ||||
\(866\) | 5.76803 | + | 6.65666i | 0.196006 | + | 0.226203i | ||||
\(867\) | −5.50148 | − | 12.0466i | −0.186840 | − | 0.409123i | ||||
\(868\) | −15.6461 | + | 10.0551i | −0.531064 | + | 0.341294i | ||||
\(869\) | 4.09457 | − | 28.4783i | 0.138899 | − | 0.966061i | ||||
\(870\) | 5.55566 | + | 3.57041i | 0.188355 | + | 0.121048i | ||||
\(871\) | 36.4615 | − | 42.0788i | 1.23545 | − | 1.42579i | ||||
\(872\) | 14.3758 | + | 4.22112i | 0.486826 | + | 0.142945i | ||||
\(873\) | 18.5228 | 0.626902 | ||||||||
\(874\) | −21.7538 | − | 23.6674i | −0.735834 | − | 0.800561i | ||||
\(875\) | −3.31431 | −0.112044 | ||||||||
\(876\) | 9.48240 | + | 2.78428i | 0.320381 | + | 0.0940722i | ||||
\(877\) | −0.0538351 | + | 0.0621290i | −0.00181788 | + | 0.00209795i | −0.756658 | − | 0.653811i | \(-0.773169\pi\) |
0.754840 | + | 0.655909i | \(0.227715\pi\) | |||||||
\(878\) | 0.596448 | + | 0.383314i | 0.0201292 | + | 0.0129362i | ||||
\(879\) | −4.25144 | + | 29.5694i | −0.143397 | + | 0.997351i | ||||
\(880\) | −3.59091 | + | 2.30774i | −0.121050 | + | 0.0777939i | ||||
\(881\) | 5.11880 | + | 11.2086i | 0.172457 | + | 0.377628i | 0.976048 | − | 0.217553i | \(-0.0698076\pi\) |
−0.803592 | + | 0.595181i | \(0.797080\pi\) | |||||||
\(882\) | −2.60938 | − | 3.01138i | −0.0878624 | − | 0.101399i | ||||
\(883\) | −4.92927 | − | 34.2838i | −0.165883 | − | 1.15374i | −0.887283 | − | 0.461225i | \(-0.847410\pi\) |
0.721400 | − | 0.692518i | \(-0.243499\pi\) | |||||||
\(884\) | 2.84944 | − | 6.23941i | 0.0958372 | − | 0.209854i | ||||
\(885\) | −6.71059 | + | 1.97041i | −0.225574 | + | 0.0662345i | ||||
\(886\) | 6.03525 | − | 1.77211i | 0.202758 | − | 0.0595351i | ||||
\(887\) | 13.7709 | − | 30.1540i | 0.462381 | − | 1.01247i | −0.524557 | − | 0.851375i | \(-0.675769\pi\) |
0.986938 | − | 0.161098i | \(-0.0515037\pi\) | |||||||
\(888\) | −1.32433 | − | 9.21089i | −0.0444415 | − | 0.309097i | ||||
\(889\) | −33.6508 | − | 38.8351i | −1.12861 | − | 1.30249i | ||||
\(890\) | 5.99004 | + | 13.1164i | 0.200786 | + | 0.439661i | ||||
\(891\) | −3.59091 | + | 2.30774i | −0.120300 | + | 0.0773122i | ||||
\(892\) | −2.42909 | + | 16.8947i | −0.0813319 | + | 0.565676i | ||||
\(893\) | −62.8490 | − | 40.3906i | −2.10316 | − | 1.35162i | ||||
\(894\) | −14.3115 | + | 16.5164i | −0.478649 | + | 0.552390i | ||||
\(895\) | −9.52393 | − | 2.79648i | −0.318350 | − | 0.0934759i | ||||
\(896\) | −3.31431 | −0.110723 | ||||||||
\(897\) | 7.49974 | + | 15.2254i | 0.250409 | + | 0.508362i | ||||
\(898\) | −17.6462 | −0.588862 | ||||||||
\(899\) | −35.5580 | − | 10.4408i | −1.18593 | − | 0.348219i | ||||
\(900\) | −0.654861 | + | 0.755750i | −0.0218287 | + | 0.0251917i | ||||
\(901\) | 7.77397 | + | 4.99603i | 0.258989 | + | 0.166442i | ||||
\(902\) | −2.14512 | + | 14.9196i | −0.0714246 | + | 0.496769i | ||||
\(903\) | 11.5720 | − | 7.43688i | 0.385093 | − | 0.247484i | ||||
\(904\) | −1.18737 | − | 2.59997i | −0.0394912 | − | 0.0864737i | ||||
\(905\) | 12.8709 | + | 14.8538i | 0.427843 | + | 0.493758i | ||||
\(906\) | −2.51406 | − | 17.4857i | −0.0835240 | − | 0.580922i | ||||
\(907\) | 6.20721 | − | 13.5919i | 0.206107 | − | 0.451312i | −0.778144 | − | 0.628085i | \(-0.783839\pi\) |
0.984252 | + | 0.176774i | \(0.0565661\pi\) | |||||||
\(908\) | −13.3201 | + | 3.91113i | −0.442043 | + | 0.129796i | ||||
\(909\) | 0.824976 | − | 0.242235i | 0.0273627 | − | 0.00803442i | ||||
\(910\) | 4.87250 | − | 10.6693i | 0.161522 | − | 0.353684i | ||||
\(911\) | −7.54641 | − | 52.4864i | −0.250024 | − | 1.73895i | −0.598041 | − | 0.801465i | \(-0.704054\pi\) |
0.348017 | − | 0.937488i | \(-0.386855\pi\) | |||||||
\(912\) | 4.38949 | + | 5.06574i | 0.145350 | + | 0.167743i | ||||
\(913\) | −16.2902 | − | 35.6706i | −0.539128 | − | 1.18053i | ||||
\(914\) | −8.90977 | + | 5.72596i | −0.294709 | + | 0.189398i | ||||
\(915\) | 0.238046 | − | 1.65564i | 0.00786955 | − | 0.0547339i | ||||
\(916\) | −14.5126 | − | 9.32666i | −0.479509 | − | 0.308161i | ||||
\(917\) | 21.6360 | − | 24.9693i | 0.714484 | − | 0.824559i | ||||
\(918\) | 1.85970 | + | 0.546057i | 0.0613792 | + | 0.0180226i | ||||
\(919\) | −47.6673 | −1.57240 | −0.786200 | − | 0.617973i | \(-0.787954\pi\) | ||||
−0.786200 | + | 0.617973i | \(0.787954\pi\) | |||||||
\(920\) | −3.95683 | + | 2.70988i | −0.130453 | + | 0.0893423i | ||||
\(921\) | −15.1322 | −0.498623 | ||||||||
\(922\) | 14.2142 | + | 4.17366i | 0.468119 | + | 0.137452i | ||||
\(923\) | −9.82863 | + | 11.3428i | −0.323513 | + | 0.373354i | ||||
\(924\) | 11.9014 | + | 7.64855i | 0.391527 | + | 0.251619i | ||||
\(925\) | −1.32433 | + | 9.21089i | −0.0435436 | + | 0.302852i | ||||
\(926\) | −29.3202 | + | 18.8430i | −0.963523 | + | 0.619219i | ||||
\(927\) | −3.19163 | − | 6.98869i | −0.104827 | − | 0.229539i | ||||
\(928\) | −4.32472 | − | 4.99099i | −0.141966 | − | 0.163837i | ||||
\(929\) | 2.31365 | + | 16.0918i | 0.0759085 | + | 0.527955i | 0.991926 | + | 0.126817i | \(0.0404762\pi\) |
−0.916018 | + | 0.401138i | \(0.868615\pi\) | |||||||
\(930\) | 2.33114 | − | 5.10449i | 0.0764412 | − | 0.167383i | ||||
\(931\) | 25.6268 | − | 7.52472i | 0.839885 | − | 0.246613i | ||||
\(932\) | −4.31901 | + | 1.26818i | −0.141474 | + | 0.0415405i | ||||
\(933\) | 13.0898 | − | 28.6626i | 0.428540 | − | 0.938371i | ||||
\(934\) | 4.13584 | + | 28.7654i | 0.135329 | + | 0.941233i | ||||
\(935\) | −5.41785 | − | 6.25254i | −0.177183 | − | 0.204480i | ||||
\(936\) | −1.47014 | − | 3.21916i | −0.0480531 | − | 0.105222i | ||||
\(937\) | 14.1970 | − | 9.12385i | 0.463795 | − | 0.298063i | −0.287797 | − | 0.957692i | \(-0.592923\pi\) |
0.751592 | + | 0.659628i | \(0.229286\pi\) | |||||||
\(938\) | 7.42081 | − | 51.6129i | 0.242298 | − | 1.68522i | ||||
\(939\) | −0.682907 | − | 0.438878i | −0.0222858 | − | 0.0143222i | ||||
\(940\) | −7.29887 | + | 8.42335i | −0.238063 | + | 0.274739i | ||||
\(941\) | −7.57214 | − | 2.22338i | −0.246845 | − | 0.0724801i | 0.155970 | − | 0.987762i | \(-0.450150\pi\) |
−0.402814 | + | 0.915282i | \(0.631968\pi\) | |||||||
\(942\) | 5.29854 | 0.172636 | ||||||||
\(943\) | −1.91808 | + | 16.8261i | −0.0624613 | + | 0.547933i | ||||
\(944\) | 6.99389 | 0.227632 | ||||||||
\(945\) | 3.18005 | + | 0.933748i | 0.103447 | + | 0.0303748i | ||||
\(946\) | −11.6016 | + | 13.3889i | −0.377199 | + | 0.435311i | ||||
\(947\) | 3.18239 | + | 2.04520i | 0.103414 | + | 0.0664600i | 0.591325 | − | 0.806433i | \(-0.298605\pi\) |
−0.487912 | + | 0.872893i | \(0.662241\pi\) | |||||||
\(948\) | −0.959246 | + | 6.67170i | −0.0311549 | + | 0.216687i | ||||
\(949\) | 29.4226 | − | 18.9087i | 0.955097 | − | 0.613803i | ||||
\(950\) | −2.78450 | − | 6.09720i | −0.0903411 | − | 0.197819i | ||||
\(951\) | 7.81265 | + | 9.01628i | 0.253342 | + | 0.292373i | ||||
\(952\) | −0.914205 | − | 6.35843i | −0.0296296 | − | 0.206078i | ||||
\(953\) | −23.7652 | + | 52.0386i | −0.769831 | + | 1.68570i | −0.0428072 | + | 0.999083i | \(0.513630\pi\) |
−0.727024 | + | 0.686612i | \(0.759097\pi\) | |||||||
\(954\) | 4.57464 | − | 1.34324i | 0.148110 | − | 0.0434889i | ||||
\(955\) | −5.26697 | + | 1.54652i | −0.170435 | + | 0.0500443i | ||||
\(956\) | 1.28023 | − | 2.80331i | 0.0414055 | − | 0.0906654i | ||||
\(957\) | 4.01178 | + | 27.9025i | 0.129682 | + | 0.901961i | ||||
\(958\) | −18.4097 | − | 21.2459i | −0.594791 | − | 0.686425i | ||||
\(959\) | 16.6575 | + | 36.4748i | 0.537899 | + | 1.17783i | ||||
\(960\) | 0.841254 | − | 0.540641i | 0.0271513 | − | 0.0174491i | ||||
\(961\) | −0.0697419 | + | 0.485065i | −0.00224974 | + | 0.0156473i | ||||
\(962\) | −27.7044 | − | 17.8045i | −0.893226 | − | 0.574041i | ||||
\(963\) | 0.147621 | − | 0.170364i | 0.00475701 | − | 0.00548989i | ||||
\(964\) | 19.1215 | + | 5.61459i | 0.615863 | + | 0.180834i | ||||
\(965\) | 15.5357 | 0.500111 | ||||||||
\(966\) | 13.6176 | + | 8.19805i | 0.438138 | + | 0.263768i | ||||
\(967\) | 35.4132 | 1.13881 | 0.569406 | − | 0.822056i | \(-0.307173\pi\) | ||||
0.569406 | + | 0.822056i | \(0.307173\pi\) | |||||||
\(968\) | −6.92783 | − | 2.03419i | −0.222669 | − | 0.0653815i | ||||
\(969\) | −8.50774 | + | 9.81846i | −0.273308 | + | 0.315414i | ||||
\(970\) | 15.5824 | + | 10.0142i | 0.500320 | + | 0.321536i | ||||
\(971\) | −6.02151 | + | 41.8805i | −0.193239 | + | 1.34401i | 0.630124 | + | 0.776495i | \(0.283004\pi\) |
−0.823363 | + | 0.567515i | \(0.807905\pi\) | |||||||
\(972\) | 0.841254 | − | 0.540641i | 0.0269832 | − | 0.0173411i | ||||
\(973\) | −4.74863 | − | 10.3981i | −0.152234 | − | 0.333346i | ||||
\(974\) | −19.3303 | − | 22.3084i | −0.619383 | − | 0.714806i | ||||
\(975\) | 0.503648 | + | 3.50295i | 0.0161297 | + | 0.112184i | ||||
\(976\) | −0.694852 | + | 1.52151i | −0.0222417 | + | 0.0487025i | ||||
\(977\) | −12.2967 | + | 3.61062i | −0.393405 | + | 0.115514i | −0.472451 | − | 0.881357i | \(-0.656631\pi\) |
0.0790462 | + | 0.996871i | \(0.474813\pi\) | |||||||
\(978\) | −14.4322 | + | 4.23769i | −0.461492 | + | 0.135506i | ||||
\(979\) | −25.5686 | + | 55.9875i | −0.817177 | + | 1.78937i | ||||
\(980\) | −0.567072 | − | 3.94407i | −0.0181145 | − | 0.125989i | ||||
\(981\) | 9.81159 | + | 11.3232i | 0.313260 | + | 0.361521i | ||||
\(982\) | 4.28518 | + | 9.38323i | 0.136746 | + | 0.299431i | ||||
\(983\) | 41.8668 | − | 26.9062i | 1.33534 | − | 0.858174i | 0.338770 | − | 0.940869i | \(-0.389989\pi\) |
0.996575 | + | 0.0826953i | \(0.0263528\pi\) | |||||||
\(984\) | 0.502543 | − | 3.49527i | 0.0160205 | − | 0.111425i | ||||
\(985\) | −5.05828 | − | 3.25076i | −0.161170 | − | 0.103578i | ||||
\(986\) | 8.38221 | − | 9.67359i | 0.266944 | − | 0.308070i | ||||
\(987\) | 35.4439 | + | 10.4073i | 1.12819 | + | 0.331267i | ||||
\(988\) | 23.7215 | 0.754681 | ||||||||
\(989\) | −12.5885 | + | 15.4182i | −0.400292 | + | 0.490271i | ||||
\(990\) | −4.26852 | −0.135663 | ||||||||
\(991\) | 43.9343 | + | 12.9003i | 1.39562 | + | 0.409790i | 0.891177 | − | 0.453656i | \(-0.149880\pi\) |
0.504441 | + | 0.863446i | \(0.331699\pi\) | |||||||
\(992\) | −3.67482 | + | 4.24096i | −0.116676 | + | 0.134651i | ||||
\(993\) | 14.4307 | + | 9.27406i | 0.457945 | + | 0.294303i | ||||
\(994\) | −2.00037 | + | 13.9129i | −0.0634478 | + | 0.441289i | ||||
\(995\) | 0.248670 | − | 0.159811i | 0.00788337 | − | 0.00506634i | ||||
\(996\) | 3.81636 | + | 8.35667i | 0.120926 | + | 0.264791i | ||||
\(997\) | −0.887210 | − | 1.02390i | −0.0280982 | − | 0.0324271i | 0.741527 | − | 0.670924i | \(-0.234102\pi\) |
−0.769625 | + | 0.638496i | \(0.779557\pi\) | |||||||
\(998\) | 5.57172 | + | 38.7522i | 0.176370 | + | 1.22668i | ||||
\(999\) | 3.86569 | − | 8.46468i | 0.122305 | − | 0.267811i |
(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 | 690.2.m.g.271.1 | ✓ | 30 | |
23.9 | even | 11 | inner | 690.2.m.g.331.1 | yes | 30 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
690.2.m.g.271.1 | ✓ | 30 | 1.1 | even | 1 | trivial | |
690.2.m.g.331.1 | yes | 30 | 23.9 | even | 11 | inner |