Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [462,2,Mod(95,462)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(462, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([15, 20, 21]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("462.95");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 462 = 2 \cdot 3 \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 462.bc (of order \(30\), degree \(8\), 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: | \(3.68908857338\) |
Analytic rank: | \(0\) |
Dimension: | \(128\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 305.1 | ||
Character | \(\chi\) | \(=\) | 462.305 |
Dual form | 462.2.bc.b.359.1 |
$q$-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 \(\left(\mathbb{Z}/462\mathbb{Z}\right)^\times\).
\(n\) | \(155\) | \(199\) | \(211\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{3}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.913545 | + | 0.406737i | 0.645974 | + | 0.287606i | ||||
\(3\) | −1.73195 | − | 0.0186784i | −0.999942 | − | 0.0107840i | ||||
\(4\) | 0.669131 | + | 0.743145i | 0.334565 | + | 0.371572i | ||||
\(5\) | −3.32022 | − | 0.348969i | −1.48485 | − | 0.156064i | −0.672872 | − | 0.739759i | \(-0.734940\pi\) |
−0.811973 | + | 0.583695i | \(0.801606\pi\) | |||||||
\(6\) | −1.57462 | − | 0.721511i | −0.642835 | − | 0.294556i | ||||
\(7\) | 2.29036 | − | 1.32448i | 0.865675 | − | 0.500606i | ||||
\(8\) | 0.309017 | + | 0.951057i | 0.109254 | + | 0.336249i | ||||
\(9\) | 2.99930 | + | 0.0647000i | 0.999767 | + | 0.0215667i | ||||
\(10\) | −2.89123 | − | 1.66925i | −0.914287 | − | 0.527864i | ||||
\(11\) | 2.51334 | − | 2.16405i | 0.757801 | − | 0.652485i | ||||
\(12\) | −1.14502 | − | 1.29959i | −0.330539 | − | 0.375159i | ||||
\(13\) | 1.75434 | + | 2.41465i | 0.486568 | + | 0.669703i | 0.979750 | − | 0.200223i | \(-0.0641666\pi\) |
−0.493183 | + | 0.869926i | \(0.664167\pi\) | |||||||
\(14\) | 2.63106 | − | 0.278398i | 0.703181 | − | 0.0744051i | ||||
\(15\) | 5.74393 | + | 0.666413i | 1.48308 | + | 0.172067i | ||||
\(16\) | −0.104528 | + | 0.994522i | −0.0261321 | + | 0.248630i | ||||
\(17\) | 2.48929 | − | 1.10830i | 0.603740 | − | 0.268803i | −0.0820190 | − | 0.996631i | \(-0.526137\pi\) |
0.685760 | + | 0.727828i | \(0.259470\pi\) | |||||||
\(18\) | 2.71368 | + | 1.27903i | 0.639621 | + | 0.301471i | ||||
\(19\) | 4.68444 | + | 4.21789i | 1.07468 | + | 0.967651i | 0.999564 | − | 0.0295238i | \(-0.00939909\pi\) |
0.0751208 | + | 0.997174i | \(0.476066\pi\) | |||||||
\(20\) | −1.96232 | − | 2.70091i | −0.438789 | − | 0.603941i | ||||
\(21\) | −3.99153 | + | 2.25115i | −0.871023 | + | 0.491242i | ||||
\(22\) | 3.17625 | − | 0.954689i | 0.677179 | − | 0.203540i | ||||
\(23\) | 0.928949 | − | 0.536329i | 0.193699 | − | 0.111832i | −0.400014 | − | 0.916509i | \(-0.630995\pi\) |
0.593713 | + | 0.804677i | \(0.297661\pi\) | |||||||
\(24\) | −0.517438 | − | 1.65295i | −0.105622 | − | 0.337408i | ||||
\(25\) | 6.01131 | + | 1.27774i | 1.20226 | + | 0.255549i | ||||
\(26\) | 0.620548 | + | 2.91945i | 0.121699 | + | 0.572551i | ||||
\(27\) | −5.19343 | − | 0.168079i | −0.999477 | − | 0.0323469i | ||||
\(28\) | 2.51683 | + | 0.815820i | 0.475636 | + | 0.154176i | ||||
\(29\) | −0.535164 | + | 1.64707i | −0.0993775 | + | 0.305852i | −0.988370 | − | 0.152070i | \(-0.951406\pi\) |
0.888992 | + | 0.457922i | \(0.151406\pi\) | |||||||
\(30\) | 4.97629 | + | 2.94506i | 0.908541 | + | 0.537693i | ||||
\(31\) | −0.527904 | − | 5.02267i | −0.0948143 | − | 0.902098i | −0.933764 | − | 0.357889i | \(-0.883497\pi\) |
0.838950 | − | 0.544209i | \(-0.183170\pi\) | |||||||
\(32\) | −0.500000 | + | 0.866025i | −0.0883883 | + | 0.153093i | ||||
\(33\) | −4.39340 | + | 3.70108i | −0.764794 | + | 0.644275i | ||||
\(34\) | 2.72486 | 0.467310 | ||||||||
\(35\) | −8.06669 | + | 3.59829i | −1.36352 | + | 0.608222i | ||||
\(36\) | 1.95884 | + | 2.27221i | 0.326474 | + | 0.378701i | ||||
\(37\) | 9.83325 | − | 2.09012i | 1.61658 | − | 0.343614i | 0.691200 | − | 0.722663i | \(-0.257082\pi\) |
0.925376 | + | 0.379050i | \(0.123749\pi\) | |||||||
\(38\) | 2.56388 | + | 5.75857i | 0.415916 | + | 0.934163i | ||||
\(39\) | −2.99334 | − | 4.21482i | −0.479317 | − | 0.674911i | ||||
\(40\) | −0.694114 | − | 3.26555i | −0.109749 | − | 0.516329i | ||||
\(41\) | −3.40181 | − | 10.4697i | −0.531273 | − | 1.63509i | −0.751567 | − | 0.659657i | \(-0.770701\pi\) |
0.220293 | − | 0.975434i | \(-0.429299\pi\) | |||||||
\(42\) | −4.56207 | + | 0.433028i | −0.703943 | + | 0.0668176i | ||||
\(43\) | − | 0.998721i | − | 0.152304i | −0.997096 | − | 0.0761518i | \(-0.975737\pi\) | ||
0.997096 | − | 0.0761518i | \(-0.0242633\pi\) | |||||||
\(44\) | 3.28996 | + | 0.419746i | 0.495980 | + | 0.0632790i | ||||
\(45\) | −9.93575 | − | 1.26148i | −1.48113 | − | 0.188050i | ||||
\(46\) | 1.06678 | − | 0.112123i | 0.157288 | − | 0.0165317i | ||||
\(47\) | 6.94657 | + | 6.25472i | 1.01326 | + | 0.912344i | 0.996164 | − | 0.0875096i | \(-0.0278908\pi\) |
0.0170973 | + | 0.999854i | \(0.494558\pi\) | |||||||
\(48\) | 0.199614 | − | 1.72051i | 0.0288118 | − | 0.248334i | ||||
\(49\) | 3.49151 | − | 6.06707i | 0.498787 | − | 0.866725i | ||||
\(50\) | 4.97190 | + | 3.61230i | 0.703133 | + | 0.510856i | ||||
\(51\) | −4.33202 | + | 1.87303i | −0.606604 | + | 0.262276i | ||||
\(52\) | −0.620548 | + | 2.91945i | −0.0860545 | + | 0.404854i | ||||
\(53\) | −6.83748 | + | 0.718649i | −0.939201 | + | 0.0987140i | −0.561742 | − | 0.827312i | \(-0.689869\pi\) |
−0.377459 | + | 0.926026i | \(0.623202\pi\) | |||||||
\(54\) | −4.67607 | − | 2.26591i | −0.636333 | − | 0.308351i | ||||
\(55\) | −9.10002 | + | 6.30803i | −1.22705 | + | 0.850575i | ||||
\(56\) | 1.96742 | + | 1.76898i | 0.262907 | + | 0.236389i | ||||
\(57\) | −8.03444 | − | 7.39267i | −1.06419 | − | 0.979184i | ||||
\(58\) | −1.15882 | + | 1.28700i | −0.152160 | + | 0.168991i | ||||
\(59\) | −4.43116 | + | 3.98984i | −0.576888 | + | 0.519432i | −0.905115 | − | 0.425166i | \(-0.860216\pi\) |
0.328227 | + | 0.944599i | \(0.393549\pi\) | |||||||
\(60\) | 3.34820 | + | 4.71449i | 0.432250 | + | 0.608638i | ||||
\(61\) | −10.1752 | − | 1.06945i | −1.30280 | − | 0.136930i | −0.572414 | − | 0.819965i | \(-0.693993\pi\) |
−0.730385 | + | 0.683035i | \(0.760659\pi\) | |||||||
\(62\) | 1.56064 | − | 4.80315i | 0.198201 | − | 0.610001i | ||||
\(63\) | 6.95518 | − | 3.82433i | 0.876270 | − | 0.481820i | ||||
\(64\) | −0.809017 | + | 0.587785i | −0.101127 | + | 0.0734732i | ||||
\(65\) | −4.98217 | − | 8.62936i | −0.617962 | − | 1.07034i | ||||
\(66\) | −5.51894 | + | 1.59415i | −0.679335 | + | 0.196226i | ||||
\(67\) | 1.86083 | − | 3.22305i | 0.227336 | − | 0.393758i | −0.729681 | − | 0.683787i | \(-0.760332\pi\) |
0.957018 | + | 0.290029i | \(0.0936650\pi\) | |||||||
\(68\) | 2.48929 | + | 1.10830i | 0.301870 | + | 0.134401i | ||||
\(69\) | −1.61891 | + | 0.911544i | −0.194894 | + | 0.109737i | ||||
\(70\) | −8.83285 | + | 0.00618325i | −1.05573 | + | 0.000739039i | ||||
\(71\) | −0.722902 | + | 0.994990i | −0.0857927 | + | 0.118084i | −0.849756 | − | 0.527176i | \(-0.823251\pi\) |
0.763963 | + | 0.645260i | \(0.223251\pi\) | |||||||
\(72\) | 0.865302 | + | 2.87250i | 0.101977 | + | 0.338527i | ||||
\(73\) | 4.44631 | − | 4.00348i | 0.520402 | − | 0.468572i | −0.366573 | − | 0.930389i | \(-0.619469\pi\) |
0.886975 | + | 0.461817i | \(0.152802\pi\) | |||||||
\(74\) | 9.83325 | + | 2.09012i | 1.14309 | + | 0.242972i | ||||
\(75\) | −10.3874 | − | 2.32527i | −1.19944 | − | 0.268499i | ||||
\(76\) | 6.30354i | 0.723066i | ||||||||
\(77\) | 2.89022 | − | 8.28533i | 0.329371 | − | 0.944200i | ||||
\(78\) | −1.02023 | − | 5.06793i | −0.115518 | − | 0.573830i | ||||
\(79\) | −7.00278 | + | 15.7285i | −0.787874 | + | 1.76959i | −0.166563 | + | 0.986031i | \(0.553267\pi\) |
−0.621312 | + | 0.783564i | \(0.713400\pi\) | |||||||
\(80\) | 0.694114 | − | 3.26555i | 0.0776043 | − | 0.365100i | ||||
\(81\) | 8.99163 | + | 0.388110i | 0.999070 | + | 0.0431233i | ||||
\(82\) | 1.15070 | − | 10.9482i | 0.127074 | − | 1.20902i | ||||
\(83\) | 9.70645 | + | 7.05215i | 1.06542 | + | 0.774073i | 0.975084 | − | 0.221838i | \(-0.0712055\pi\) |
0.0903372 | + | 0.995911i | \(0.471206\pi\) | |||||||
\(84\) | −4.34379 | − | 1.45997i | −0.473946 | − | 0.159296i | ||||
\(85\) | −8.65173 | + | 2.81112i | −0.938412 | + | 0.304908i | ||||
\(86\) | 0.406216 | − | 0.912377i | 0.0438034 | − | 0.0983841i | ||||
\(87\) | 0.957642 | − | 2.84264i | 0.102670 | − | 0.304763i | ||||
\(88\) | 2.83480 | + | 1.72160i | 0.302191 | + | 0.183523i | ||||
\(89\) | 11.7595 | − | 6.78938i | 1.24651 | − | 0.719673i | 0.276098 | − | 0.961129i | \(-0.410959\pi\) |
0.970412 | + | 0.241457i | \(0.0776252\pi\) | |||||||
\(90\) | −8.56367 | − | 5.19365i | −0.902690 | − | 0.547459i | ||||
\(91\) | 7.21623 | + | 3.20682i | 0.756467 | + | 0.336166i | ||||
\(92\) | 1.02016 | + | 0.331470i | 0.106359 | + | 0.0345581i | ||||
\(93\) | 0.820487 | + | 8.70887i | 0.0850806 | + | 0.903068i | ||||
\(94\) | 3.80198 | + | 8.53939i | 0.392145 | + | 0.880771i | ||||
\(95\) | −14.0814 | − | 15.6390i | −1.44473 | − | 1.60453i | ||||
\(96\) | 0.882151 | − | 1.49057i | 0.0900342 | − | 0.152131i | ||||
\(97\) | −2.77243 | + | 2.01429i | −0.281498 | + | 0.204520i | −0.719571 | − | 0.694419i | \(-0.755661\pi\) |
0.438073 | + | 0.898940i | \(0.355661\pi\) | |||||||
\(98\) | 5.65735 | − | 4.12242i | 0.571479 | − | 0.416427i | ||||
\(99\) | 7.67829 | − | 6.32803i | 0.771697 | − | 0.635990i | ||||
\(100\) | 3.07280 | + | 5.32225i | 0.307280 | + | 0.532225i | ||||
\(101\) | 0.933886 | + | 8.88533i | 0.0929251 | + | 0.884123i | 0.937336 | + | 0.348427i | \(0.113284\pi\) |
−0.844411 | + | 0.535696i | \(0.820049\pi\) | |||||||
\(102\) | −4.71933 | − | 0.0508960i | −0.467283 | − | 0.00503945i | ||||
\(103\) | 10.1931 | − | 2.16662i | 1.00436 | − | 0.213483i | 0.323761 | − | 0.946139i | \(-0.395053\pi\) |
0.680600 | + | 0.732656i | \(0.261719\pi\) | |||||||
\(104\) | −1.75434 | + | 2.41465i | −0.172028 | + | 0.236776i | ||||
\(105\) | 14.0383 | − | 6.08139i | 1.37000 | − | 0.593483i | ||||
\(106\) | −6.53865 | − | 2.12454i | −0.635090 | − | 0.206353i | ||||
\(107\) | −10.2173 | + | 11.3475i | −0.987744 | + | 1.09700i | 0.00753794 | + | 0.999972i | \(0.497601\pi\) |
−0.995282 | + | 0.0970289i | \(0.969066\pi\) | |||||||
\(108\) | −3.35018 | − | 3.97194i | −0.322371 | − | 0.382200i | ||||
\(109\) | −8.40092 | − | 4.85027i | −0.804662 | − | 0.464572i | 0.0404368 | − | 0.999182i | \(-0.487125\pi\) |
−0.845099 | + | 0.534610i | \(0.820458\pi\) | |||||||
\(110\) | −10.8790 | + | 2.06136i | −1.03727 | + | 0.196543i | ||||
\(111\) | −17.0697 | + | 3.43632i | −1.62019 | + | 0.326161i | ||||
\(112\) | 1.07782 | + | 2.41626i | 0.101844 | + | 0.228315i | ||||
\(113\) | −9.74475 | + | 3.16626i | −0.916709 | + | 0.297857i | −0.729116 | − | 0.684390i | \(-0.760069\pi\) |
−0.187593 | + | 0.982247i | \(0.560069\pi\) | |||||||
\(114\) | −4.33295 | − | 10.0214i | −0.405818 | − | 0.938594i | ||||
\(115\) | −3.27147 | + | 1.45655i | −0.305067 | + | 0.135824i | ||||
\(116\) | −1.58210 | + | 0.704397i | −0.146895 | + | 0.0654017i | ||||
\(117\) | 5.10558 | + | 7.35577i | 0.472011 | + | 0.680041i | ||||
\(118\) | −5.67088 | + | 1.84258i | −0.522047 | + | 0.169623i | ||||
\(119\) | 4.23344 | − | 5.83542i | 0.388079 | − | 0.534932i | ||||
\(120\) | 1.14118 | + | 5.66873i | 0.104175 | + | 0.517482i | ||||
\(121\) | 1.63378 | − | 10.8780i | 0.148525 | − | 0.988909i | ||||
\(122\) | −8.86051 | − | 5.11562i | −0.802193 | − | 0.463146i | ||||
\(123\) | 5.69621 | + | 18.1965i | 0.513610 | + | 1.64073i | ||||
\(124\) | 3.37933 | − | 3.75313i | 0.303473 | − | 0.337041i | ||||
\(125\) | −3.63743 | − | 1.18187i | −0.325342 | − | 0.105710i | ||||
\(126\) | 7.90937 | − | 0.664771i | 0.704622 | − | 0.0592225i | ||||
\(127\) | −8.86744 | + | 12.2050i | −0.786858 | + | 1.08302i | 0.207634 | + | 0.978207i | \(0.433424\pi\) |
−0.994492 | + | 0.104811i | \(0.966576\pi\) | |||||||
\(128\) | −0.978148 | + | 0.207912i | −0.0864569 | + | 0.0183770i | ||||
\(129\) | −0.0186545 | + | 1.72973i | −0.00164244 | + | 0.152295i | ||||
\(130\) | −1.04156 | − | 9.90974i | −0.0913505 | − | 0.869142i | ||||
\(131\) | −1.43436 | − | 2.48439i | −0.125321 | − | 0.217062i | 0.796537 | − | 0.604589i | \(-0.206663\pi\) |
−0.921858 | + | 0.387527i | \(0.873329\pi\) | |||||||
\(132\) | −5.69020 | − | 0.788429i | −0.495268 | − | 0.0686240i | ||||
\(133\) | 16.3156 | + | 3.45605i | 1.41474 | + | 0.299677i | ||||
\(134\) | 3.01088 | − | 2.18753i | 0.260101 | − | 0.188974i | ||||
\(135\) | 17.1847 | + | 2.37041i | 1.47902 | + | 0.204012i | ||||
\(136\) | 1.82329 | + | 2.02497i | 0.156346 | + | 0.173640i | ||||
\(137\) | −1.92954 | − | 4.33381i | −0.164852 | − | 0.370263i | 0.812164 | − | 0.583429i | \(-0.198289\pi\) |
−0.977016 | + | 0.213166i | \(0.931623\pi\) | |||||||
\(138\) | −1.84971 | + | 0.174266i | −0.157458 | + | 0.0148345i | ||||
\(139\) | −10.7864 | − | 3.50472i | −0.914891 | − | 0.297266i | −0.186522 | − | 0.982451i | \(-0.559721\pi\) |
−0.728369 | + | 0.685185i | \(0.759721\pi\) | |||||||
\(140\) | −8.07172 | − | 3.58699i | −0.682185 | − | 0.303156i | ||||
\(141\) | −11.9143 | − | 10.9626i | −1.00336 | − | 0.923218i | ||||
\(142\) | −1.06510 | + | 0.614937i | −0.0893815 | + | 0.0516044i | ||||
\(143\) | 9.63469 | + | 2.27235i | 0.805693 | + | 0.190023i | ||||
\(144\) | −0.377858 | + | 2.97611i | −0.0314882 | + | 0.248009i | ||||
\(145\) | 2.35163 | − | 5.28186i | 0.195293 | − | 0.438634i | ||||
\(146\) | 5.69027 | − | 1.84888i | 0.470930 | − | 0.153014i | ||||
\(147\) | −6.16044 | + | 10.4427i | −0.508105 | + | 0.861295i | ||||
\(148\) | 8.13299 | + | 5.90896i | 0.668528 | + | 0.485714i | ||||
\(149\) | −0.537142 | + | 5.11056i | −0.0440044 | + | 0.418674i | 0.950238 | + | 0.311523i | \(0.100839\pi\) |
−0.994243 | + | 0.107150i | \(0.965827\pi\) | |||||||
\(150\) | −8.54362 | − | 6.34919i | −0.697583 | − | 0.518409i | ||||
\(151\) | 1.78735 | − | 8.40882i | 0.145453 | − | 0.684300i | −0.843628 | − | 0.536927i | \(-0.819585\pi\) |
0.989081 | − | 0.147373i | \(-0.0470817\pi\) | |||||||
\(152\) | −2.56388 | + | 5.75857i | −0.207958 | + | 0.467082i | ||||
\(153\) | 7.53783 | − | 3.16307i | 0.609397 | − | 0.255719i | ||||
\(154\) | 6.01030 | − | 6.39346i | 0.484323 | − | 0.515200i | ||||
\(155\) | 16.8606i | 1.35427i | ||||||||
\(156\) | 1.12929 | − | 5.04475i | 0.0904154 | − | 0.403903i | ||||
\(157\) | −16.4611 | − | 3.49892i | −1.31374 | − | 0.279244i | −0.502814 | − | 0.864394i | \(-0.667702\pi\) |
−0.810925 | + | 0.585151i | \(0.801035\pi\) | |||||||
\(158\) | −12.7947 | + | 11.5204i | −1.01789 | + | 0.916515i | ||||
\(159\) | 11.8556 | − | 1.11695i | 0.940211 | − | 0.0885799i | ||||
\(160\) | 1.96232 | − | 2.70091i | 0.155135 | − | 0.213525i | ||||
\(161\) | 1.41727 | − | 2.45876i | 0.111697 | − | 0.193778i | ||||
\(162\) | 8.05640 | + | 4.01178i | 0.632971 | + | 0.315195i | ||||
\(163\) | 5.64118 | + | 2.51161i | 0.441851 | + | 0.196725i | 0.615589 | − | 0.788067i | \(-0.288918\pi\) |
−0.173738 | + | 0.984792i | \(0.555585\pi\) | |||||||
\(164\) | 5.50424 | − | 9.53363i | 0.429809 | − | 0.744451i | ||||
\(165\) | 15.8786 | − | 10.7552i | 1.23615 | − | 0.837293i | ||||
\(166\) | 5.99891 | + | 10.3904i | 0.465606 | + | 0.806453i | ||||
\(167\) | 0.650095 | − | 0.472322i | 0.0503059 | − | 0.0365494i | −0.562348 | − | 0.826901i | \(-0.690102\pi\) |
0.612654 | + | 0.790351i | \(0.290102\pi\) | |||||||
\(168\) | −3.37442 | − | 3.10053i | −0.260342 | − | 0.239211i | ||||
\(169\) | 1.26442 | − | 3.89149i | 0.0972631 | − | 0.299345i | ||||
\(170\) | −9.04713 | − | 0.950892i | −0.693883 | − | 0.0729301i | ||||
\(171\) | 13.7772 | + | 12.9538i | 1.05357 | + | 0.990603i | ||||
\(172\) | 0.742194 | − | 0.668275i | 0.0565918 | − | 0.0509555i | ||||
\(173\) | 13.7475 | − | 15.2682i | 1.04520 | − | 1.16082i | 0.0585004 | − | 0.998287i | \(-0.481368\pi\) |
0.986704 | − | 0.162529i | \(-0.0519652\pi\) | |||||||
\(174\) | 2.03105 | − | 2.20737i | 0.153974 | − | 0.167340i | ||||
\(175\) | 15.4604 | − | 5.03536i | 1.16870 | − | 0.380638i | ||||
\(176\) | 1.88948 | + | 2.72578i | 0.142425 | + | 0.205463i | ||||
\(177\) | 7.74907 | − | 6.82743i | 0.582456 | − | 0.513181i | ||||
\(178\) | 13.5044 | − | 1.41937i | 1.01220 | − | 0.106386i | ||||
\(179\) | 1.38101 | − | 6.49716i | 0.103222 | − | 0.485621i | −0.895921 | − | 0.444214i | \(-0.853483\pi\) |
0.999142 | − | 0.0414063i | \(-0.0131838\pi\) | |||||||
\(180\) | −5.71085 | − | 8.22780i | −0.425662 | − | 0.613264i | ||||
\(181\) | −9.87038 | − | 7.17125i | −0.733660 | − | 0.533035i | 0.157060 | − | 0.987589i | \(-0.449799\pi\) |
−0.890719 | + | 0.454554i | \(0.849799\pi\) | |||||||
\(182\) | 5.28803 | + | 5.86469i | 0.391975 | + | 0.434719i | ||||
\(183\) | 17.6029 | + | 2.04230i | 1.30125 | + | 0.150971i | ||||
\(184\) | 0.797141 | + | 0.717749i | 0.0587660 | + | 0.0529131i | ||||
\(185\) | −33.3779 | + | 3.50816i | −2.45399 | + | 0.257925i | ||||
\(186\) | −2.79266 | + | 8.28967i | −0.204768 | + | 0.607828i | ||||
\(187\) | 3.85801 | − | 8.17248i | 0.282126 | − | 0.597631i | ||||
\(188\) | 9.34753i | 0.681739i | ||||||||
\(189\) | −12.1175 | + | 6.49363i | −0.881415 | + | 0.472342i | ||||
\(190\) | −6.50307 | − | 20.0144i | −0.471783 | − | 1.45200i | ||||
\(191\) | −0.375896 | − | 1.76845i | −0.0271989 | − | 0.127961i | 0.962453 | − | 0.271447i | \(-0.0875021\pi\) |
−0.989652 | + | 0.143486i | \(0.954169\pi\) | |||||||
\(192\) | 1.41216 | − | 1.00290i | 0.101914 | − | 0.0723783i | ||||
\(193\) | −1.41399 | − | 3.17587i | −0.101781 | − | 0.228604i | 0.855476 | − | 0.517842i | \(-0.173265\pi\) |
−0.957257 | + | 0.289238i | \(0.906598\pi\) | |||||||
\(194\) | −3.35203 | + | 0.712496i | −0.240662 | + | 0.0511542i | ||||
\(195\) | 8.46768 | + | 15.0387i | 0.606383 | + | 1.07694i | ||||
\(196\) | 6.84499 | − | 1.46497i | 0.488928 | − | 0.104640i | ||||
\(197\) | −2.52468 | −0.179876 | −0.0899379 | − | 0.995947i | \(-0.528667\pi\) | ||||
−0.0899379 | + | 0.995947i | \(0.528667\pi\) | |||||||
\(198\) | 9.58830 | − | 2.65790i | 0.681411 | − | 0.188889i | ||||
\(199\) | −7.25141 | + | 12.5598i | −0.514039 | + | 0.890342i | 0.485828 | + | 0.874054i | \(0.338518\pi\) |
−0.999867 | + | 0.0162876i | \(0.994815\pi\) | |||||||
\(200\) | 0.642391 | + | 6.11194i | 0.0454239 | + | 0.432180i | ||||
\(201\) | −3.28306 | + | 5.54740i | −0.231569 | + | 0.391284i | ||||
\(202\) | −2.76084 | + | 8.49700i | −0.194252 | + | 0.597847i | ||||
\(203\) | 0.955785 | + | 4.48119i | 0.0670830 | + | 0.314518i | ||||
\(204\) | −4.29062 | − | 1.96602i | −0.300403 | − | 0.137649i | ||||
\(205\) | 7.64114 | + | 35.9488i | 0.533681 | + | 2.51077i | ||||
\(206\) | 10.1931 | + | 2.16662i | 0.710190 | + | 0.150956i | ||||
\(207\) | 2.82090 | − | 1.54851i | 0.196066 | − | 0.107629i | ||||
\(208\) | −2.58480 | + | 1.49233i | −0.179224 | + | 0.103475i | ||||
\(209\) | 20.9013 | + | 0.463638i | 1.44578 | + | 0.0320705i | ||||
\(210\) | 15.2982 | + | 0.154274i | 1.05567 | + | 0.0106459i | ||||
\(211\) | 1.03651 | + | 1.42663i | 0.0713564 | + | 0.0982136i | 0.843203 | − | 0.537595i | \(-0.180667\pi\) |
−0.771847 | + | 0.635808i | \(0.780667\pi\) | |||||||
\(212\) | −5.10923 | − | 4.60037i | −0.350903 | − | 0.315955i | ||||
\(213\) | 1.27062 | − | 1.70977i | 0.0870611 | − | 0.117152i | ||||
\(214\) | −13.9494 | + | 6.21067i | −0.953561 | + | 0.424553i | ||||
\(215\) | −0.348522 | + | 3.31597i | −0.0237690 | + | 0.226147i | ||||
\(216\) | −1.44501 | − | 4.99119i | −0.0983202 | − | 0.339607i | ||||
\(217\) | −7.86151 | − | 10.8045i | −0.533674 | − | 0.733459i | ||||
\(218\) | −5.70184 | − | 7.84790i | −0.386177 | − | 0.531527i | ||||
\(219\) | −7.77557 | + | 6.85077i | −0.525424 | + | 0.462932i | ||||
\(220\) | −10.7769 | − | 2.54174i | −0.726578 | − | 0.171364i | ||||
\(221\) | 7.04322 | + | 4.06641i | 0.473778 | + | 0.273536i | ||||
\(222\) | −16.9917 | − | 3.80366i | −1.14041 | − | 0.255285i | ||||
\(223\) | 4.13231 | + | 12.7179i | 0.276720 | + | 0.851656i | 0.988759 | + | 0.149516i | \(0.0477716\pi\) |
−0.712040 | + | 0.702139i | \(0.752228\pi\) | |||||||
\(224\) | 0.00185210 | + | 2.64575i | 0.000123749 | + | 0.176777i | ||||
\(225\) | 17.9471 | + | 4.22127i | 1.19647 | + | 0.281418i | ||||
\(226\) | −10.1901 | − | 1.07102i | −0.677836 | − | 0.0712434i | ||||
\(227\) | 4.22526 | + | 4.69262i | 0.280440 | + | 0.311460i | 0.866865 | − | 0.498544i | \(-0.166132\pi\) |
−0.586424 | + | 0.810004i | \(0.699465\pi\) | |||||||
\(228\) | 0.117740 | − | 10.9174i | 0.00779751 | − | 0.723024i | ||||
\(229\) | −8.92949 | − | 3.97566i | −0.590077 | − | 0.262719i | 0.0899021 | − | 0.995951i | \(-0.471345\pi\) |
−0.679979 | + | 0.733231i | \(0.738011\pi\) | |||||||
\(230\) | −3.58107 | −0.236129 | ||||||||
\(231\) | −5.16048 | + | 14.2958i | −0.339535 | + | 0.940594i | ||||
\(232\) | −1.73183 | −0.113700 | ||||||||
\(233\) | 0.457257 | + | 0.203584i | 0.0299559 | + | 0.0133372i | 0.421660 | − | 0.906754i | \(-0.361448\pi\) |
−0.391704 | + | 0.920091i | \(0.628114\pi\) | |||||||
\(234\) | 1.67232 | + | 8.79645i | 0.109323 | + | 0.575042i | ||||
\(235\) | −20.8814 | − | 23.1911i | −1.36215 | − | 1.51282i | ||||
\(236\) | −5.93005 | − | 0.623274i | −0.386013 | − | 0.0405717i | ||||
\(237\) | 12.4222 | − | 27.1102i | 0.806912 | − | 1.76100i | ||||
\(238\) | 6.24092 | − | 3.60902i | 0.404539 | − | 0.233938i | ||||
\(239\) | 0.201722 | + | 0.620837i | 0.0130483 | + | 0.0401586i | 0.957369 | − | 0.288869i | \(-0.0932791\pi\) |
−0.944320 | + | 0.329027i | \(0.893279\pi\) | |||||||
\(240\) | −1.26317 | + | 5.64280i | −0.0815370 | + | 0.364241i | ||||
\(241\) | 3.93195 | + | 2.27011i | 0.253279 | + | 0.146231i | 0.621265 | − | 0.783601i | \(-0.286619\pi\) |
−0.367986 | + | 0.929831i | \(0.619953\pi\) | |||||||
\(242\) | 5.91701 | − | 9.27302i | 0.380360 | − | 0.596093i | ||||
\(243\) | −15.5658 | − | 0.840136i | −0.998547 | − | 0.0538947i | ||||
\(244\) | −6.01377 | − | 8.27724i | −0.384992 | − | 0.529896i | ||||
\(245\) | −13.7098 | + | 18.9256i | −0.875886 | + | 1.20911i | ||||
\(246\) | −2.19745 | + | 18.9402i | −0.140104 | + | 1.20758i | ||||
\(247\) | −1.96660 | + | 18.7109i | −0.125132 | + | 1.19055i | ||||
\(248\) | 4.61371 | − | 2.05416i | 0.292971 | − | 0.130439i | ||||
\(249\) | −16.6794 | − | 12.3953i | −1.05701 | − | 0.785518i | ||||
\(250\) | −2.84225 | − | 2.55917i | −0.179760 | − | 0.161856i | ||||
\(251\) | −11.5950 | − | 15.9591i | −0.731869 | − | 1.00733i | −0.999045 | − | 0.0436839i | \(-0.986091\pi\) |
0.267176 | − | 0.963648i | \(-0.413909\pi\) | |||||||
\(252\) | 7.49595 | + | 2.60973i | 0.472201 | + | 0.164398i | ||||
\(253\) | 1.17413 | − | 3.35827i | 0.0738166 | − | 0.211133i | ||||
\(254\) | −13.0650 | + | 7.54309i | −0.819772 | + | 0.473296i | ||||
\(255\) | 15.0369 | − | 4.70711i | 0.941645 | − | 0.294771i | ||||
\(256\) | −0.978148 | − | 0.207912i | −0.0611342 | − | 0.0129945i | ||||
\(257\) | 0.935775 | + | 4.40247i | 0.0583720 | + | 0.274619i | 0.997648 | − | 0.0685436i | \(-0.0218352\pi\) |
−0.939276 | + | 0.343162i | \(0.888502\pi\) | |||||||
\(258\) | −0.720588 | + | 1.57260i | −0.0448619 | + | 0.0979060i | ||||
\(259\) | 19.7534 | − | 17.8111i | 1.22741 | − | 1.10673i | ||||
\(260\) | 3.07915 | − | 9.47664i | 0.190961 | − | 0.587716i | ||||
\(261\) | −1.71168 | + | 4.90542i | −0.105951 | + | 0.303638i | ||||
\(262\) | −0.299863 | − | 2.85301i | −0.0185256 | − | 0.176260i | ||||
\(263\) | 9.14930 | − | 15.8471i | 0.564170 | − | 0.977172i | −0.432956 | − | 0.901415i | \(-0.642529\pi\) |
0.997126 | − | 0.0757566i | \(-0.0241372\pi\) | |||||||
\(264\) | −4.87757 | − | 3.03468i | −0.300194 | − | 0.186772i | ||||
\(265\) | 22.9527 | 1.40997 | ||||||||
\(266\) | 13.4993 | + | 9.79340i | 0.827696 | + | 0.600472i | ||||
\(267\) | −20.4938 | + | 11.5392i | −1.25420 | + | 0.706188i | ||||
\(268\) | 3.64033 | − | 0.773776i | 0.222368 | − | 0.0472659i | ||||
\(269\) | 12.9511 | + | 29.0886i | 0.789641 | + | 1.77356i | 0.614331 | + | 0.789049i | \(0.289426\pi\) |
0.175310 | + | 0.984513i | \(0.443907\pi\) | |||||||
\(270\) | 14.7348 | + | 9.15510i | 0.896734 | + | 0.557162i | ||||
\(271\) | 1.23587 | + | 5.81433i | 0.0750740 | + | 0.353195i | 0.999611 | − | 0.0278974i | \(-0.00888117\pi\) |
−0.924537 | + | 0.381093i | \(0.875548\pi\) | |||||||
\(272\) | 0.842029 | + | 2.59150i | 0.0510555 | + | 0.157133i | ||||
\(273\) | −12.4383 | − | 5.68885i | −0.752798 | − | 0.344305i | ||||
\(274\) | − | 4.74395i | − | 0.286593i | ||||||
\(275\) | 17.8736 | − | 9.79737i | 1.07782 | − | 0.590804i | ||||
\(276\) | −1.76067 | − | 0.593144i | −0.105980 | − | 0.0357031i | ||||
\(277\) | 2.66540 | − | 0.280145i | 0.160148 | − | 0.0168323i | −0.0241150 | − | 0.999709i | \(-0.507677\pi\) |
0.184263 | + | 0.982877i | \(0.441010\pi\) | |||||||
\(278\) | −8.42838 | − | 7.58894i | −0.505500 | − | 0.455155i | ||||
\(279\) | −1.25838 | − | 15.0987i | −0.0753370 | − | 0.903933i | ||||
\(280\) | −5.91492 | − | 6.55995i | −0.353484 | − | 0.392032i | ||||
\(281\) | −15.7119 | − | 11.4154i | −0.937294 | − | 0.680984i | 0.0104735 | − | 0.999945i | \(-0.496666\pi\) |
−0.947768 | + | 0.318961i | \(0.896666\pi\) | |||||||
\(282\) | −6.42534 | − | 14.8608i | −0.382624 | − | 0.884949i | ||||
\(283\) | −3.32141 | + | 15.6260i | −0.197437 | + | 0.928869i | 0.762137 | + | 0.647415i | \(0.224150\pi\) |
−0.959575 | + | 0.281454i | \(0.909183\pi\) | |||||||
\(284\) | −1.22314 | + | 0.128557i | −0.0725799 | + | 0.00762845i | ||||
\(285\) | 24.0963 | + | 27.3490i | 1.42734 | + | 1.62002i | ||||
\(286\) | 7.87748 | + | 5.99467i | 0.465805 | + | 0.354473i | ||||
\(287\) | −21.6583 | − | 19.4737i | −1.27845 | − | 1.14950i | ||||
\(288\) | −1.55568 | + | 2.56512i | −0.0916695 | + | 0.151151i | ||||
\(289\) | −6.40701 | + | 7.11570i | −0.376883 | + | 0.418571i | ||||
\(290\) | 4.29665 | − | 3.86872i | 0.252308 | − | 0.227179i | ||||
\(291\) | 4.83934 | − | 3.43687i | 0.283687 | − | 0.201473i | ||||
\(292\) | 5.95033 | + | 0.625405i | 0.348217 | + | 0.0365990i | ||||
\(293\) | 3.37442 | − | 10.3854i | 0.197136 | − | 0.606722i | −0.802809 | − | 0.596236i | \(-0.796662\pi\) |
0.999945 | − | 0.0104858i | \(-0.00333781\pi\) | |||||||
\(294\) | −9.87525 | + | 7.03416i | −0.575936 | + | 0.410240i | ||||
\(295\) | 16.1047 | − | 11.7008i | 0.937654 | − | 0.681246i | ||||
\(296\) | 5.02647 | + | 8.70609i | 0.292157 | + | 0.506031i | ||||
\(297\) | −13.4166 | + | 10.8164i | −0.778511 | + | 0.627632i | ||||
\(298\) | −2.56936 | + | 4.45026i | −0.148839 | + | 0.257796i | ||||
\(299\) | 2.92474 | + | 1.30218i | 0.169142 | + | 0.0753070i | ||||
\(300\) | −5.22253 | − | 9.27527i | −0.301523 | − | 0.535508i | ||||
\(301\) | −1.32279 | − | 2.28743i | −0.0762441 | − | 0.131845i | ||||
\(302\) | 5.05300 | − | 6.95486i | 0.290768 | − | 0.400207i | ||||
\(303\) | −1.45148 | − | 15.4064i | −0.0833853 | − | 0.885074i | ||||
\(304\) | −4.68444 | + | 4.21789i | −0.268671 | + | 0.241913i | ||||
\(305\) | 33.4106 | + | 7.10164i | 1.91309 | + | 0.406639i | ||||
\(306\) | 8.17269 | + | 0.176299i | 0.467201 | + | 0.0100783i | ||||
\(307\) | 12.4401i | 0.709997i | 0.934867 | + | 0.354998i | \(0.115519\pi\) | ||||
−0.934867 | + | 0.354998i | \(0.884481\pi\) | |||||||
\(308\) | 8.09113 | − | 3.39611i | 0.461035 | − | 0.193511i | ||||
\(309\) | −17.6945 | + | 3.56209i | −1.00660 | + | 0.202640i | ||||
\(310\) | −6.85781 | + | 15.4029i | −0.389497 | + | 0.874825i | ||||
\(311\) | 0.775212 | − | 3.64709i | 0.0439582 | − | 0.206807i | −0.950688 | − | 0.310150i | \(-0.899621\pi\) |
0.994646 | + | 0.103343i | \(0.0329539\pi\) | |||||||
\(312\) | 3.08354 | − | 4.14928i | 0.174571 | − | 0.234907i | ||||
\(313\) | 1.04624 | − | 9.95430i | 0.0591369 | − | 0.562650i | −0.924334 | − | 0.381584i | \(-0.875379\pi\) |
0.983471 | − | 0.181066i | \(-0.0579548\pi\) | |||||||
\(314\) | −13.6148 | − | 9.89175i | −0.768329 | − | 0.558224i | ||||
\(315\) | −24.4273 | + | 10.2705i | −1.37632 | + | 0.578674i | ||||
\(316\) | −16.3743 | + | 5.32034i | −0.921128 | + | 0.299293i | ||||
\(317\) | −8.87954 | + | 19.9438i | −0.498725 | + | 1.12015i | 0.472357 | + | 0.881407i | \(0.343403\pi\) |
−0.971082 | + | 0.238747i | \(0.923263\pi\) | |||||||
\(318\) | 11.2849 | + | 3.80172i | 0.632828 | + | 0.213190i | ||||
\(319\) | 2.21928 | + | 5.29776i | 0.124256 | + | 0.296618i | ||||
\(320\) | 2.89123 | − | 1.66925i | 0.161625 | − | 0.0933140i | ||||
\(321\) | 17.9078 | − | 19.4624i | 0.999516 | − | 1.08628i | ||||
\(322\) | 2.29481 | − | 1.66973i | 0.127885 | − | 0.0930506i | ||||
\(323\) | 16.3356 | + | 5.30776i | 0.908938 | + | 0.295332i | ||||
\(324\) | 5.72815 | + | 6.94178i | 0.318231 | + | 0.385654i | ||||
\(325\) | 7.46061 | + | 16.7568i | 0.413840 | + | 0.929501i | ||||
\(326\) | 4.13191 | + | 4.58895i | 0.228845 | + | 0.254158i | ||||
\(327\) | 14.4594 | + | 8.55734i | 0.799605 | + | 0.473222i | ||||
\(328\) | 8.90605 | − | 6.47062i | 0.491754 | − | 0.357280i | ||||
\(329\) | 24.1944 | + | 5.12498i | 1.33388 | + | 0.282549i | ||||
\(330\) | 18.8804 | − | 3.36697i | 1.03933 | − | 0.185346i | ||||
\(331\) | −11.7817 | − | 20.4066i | −0.647582 | − | 1.12165i | −0.983699 | − | 0.179825i | \(-0.942447\pi\) |
0.336116 | − | 0.941821i | \(-0.390887\pi\) | |||||||
\(332\) | 1.25411 | + | 11.9321i | 0.0688285 | + | 0.654859i | ||||
\(333\) | 29.6281 | − | 5.63270i | 1.62361 | − | 0.308670i | ||||
\(334\) | 0.786002 | − | 0.167070i | 0.0430081 | − | 0.00914166i | ||||
\(335\) | −7.30309 | + | 10.0518i | −0.399011 | + | 0.549191i | ||||
\(336\) | −1.82159 | − | 4.20497i | −0.0993759 | − | 0.229400i | ||||
\(337\) | 13.0031 | + | 4.22496i | 0.708324 | + | 0.230148i | 0.640954 | − | 0.767580i | \(-0.278539\pi\) |
0.0673702 | + | 0.997728i | \(0.478539\pi\) | |||||||
\(338\) | 2.73791 | − | 3.04076i | 0.148923 | − | 0.165396i | ||||
\(339\) | 16.9366 | − | 5.30179i | 0.919868 | − | 0.287954i | ||||
\(340\) | −7.87820 | − | 4.54848i | −0.427256 | − | 0.246676i | ||||
\(341\) | −12.1961 | − | 11.4813i | −0.660456 | − | 0.621746i | ||||
\(342\) | 7.31727 | + | 17.4376i | 0.395673 | + | 0.942916i | ||||
\(343\) | −0.0388941 | − | 18.5202i | −0.00210008 | − | 0.999998i | ||||
\(344\) | 0.949840 | − | 0.308622i | 0.0512119 | − | 0.0166398i | ||||
\(345\) | 5.69324 | − | 2.46157i | 0.306514 | − | 0.132527i | ||||
\(346\) | 18.7691 | − | 8.35654i | 1.00903 | − | 0.449250i | ||||
\(347\) | 6.62864 | − | 2.95126i | 0.355844 | − | 0.158432i | −0.221026 | − | 0.975268i | \(-0.570941\pi\) |
0.576870 | + | 0.816836i | \(0.304274\pi\) | |||||||
\(348\) | 2.75328 | − | 1.19043i | 0.147591 | − | 0.0638138i | ||||
\(349\) | −13.9076 | + | 4.51886i | −0.744458 | + | 0.241889i | −0.656595 | − | 0.754244i | \(-0.728004\pi\) |
−0.0878629 | + | 0.996133i | \(0.528004\pi\) | |||||||
\(350\) | 16.1719 | + | 1.68829i | 0.864423 | + | 0.0902427i | ||||
\(351\) | −8.70522 | − | 12.8352i | −0.464650 | − | 0.685091i | ||||
\(352\) | 0.617451 | + | 3.25864i | 0.0329102 | + | 0.173686i | ||||
\(353\) | 5.90086 | + | 3.40686i | 0.314071 | + | 0.181329i | 0.648747 | − | 0.761004i | \(-0.275293\pi\) |
−0.334676 | + | 0.942333i | \(0.608627\pi\) | |||||||
\(354\) | 9.85610 | − | 3.08533i | 0.523846 | − | 0.163984i | ||||
\(355\) | 2.74741 | − | 3.05131i | 0.145817 | − | 0.161947i | ||||
\(356\) | 12.9142 | + | 4.19607i | 0.684449 | + | 0.222391i | ||||
\(357\) | −7.44111 | + | 10.0276i | −0.393825 | + | 0.530716i | ||||
\(358\) | 3.90425 | − | 5.37374i | 0.206346 | − | 0.284011i | ||||
\(359\) | 6.94845 | − | 1.47694i | 0.366725 | − | 0.0779498i | −0.0208633 | − | 0.999782i | \(-0.506641\pi\) |
0.387589 | + | 0.921832i | \(0.373308\pi\) | |||||||
\(360\) | −1.87058 | − | 9.83928i | −0.0985880 | − | 0.518576i | ||||
\(361\) | 2.16736 | + | 20.6210i | 0.114071 | + | 1.08532i | ||||
\(362\) | −6.10023 | − | 10.5659i | −0.320621 | − | 0.555332i | ||||
\(363\) | −3.03281 | + | 18.8096i | −0.159181 | + | 0.987249i | ||||
\(364\) | 2.44547 | + | 7.50849i | 0.128177 | + | 0.393552i | ||||
\(365\) | −16.1598 | + | 11.7408i | −0.845843 | + | 0.614541i | ||||
\(366\) | 15.2504 | + | 9.02549i | 0.797151 | + | 0.471770i | ||||
\(367\) | −5.87201 | − | 6.52153i | −0.306516 | − | 0.340421i | 0.570131 | − | 0.821554i | \(-0.306892\pi\) |
−0.876648 | + | 0.481132i | \(0.840226\pi\) | |||||||
\(368\) | 0.436290 | + | 0.979922i | 0.0227432 | + | 0.0510820i | ||||
\(369\) | −9.52566 | − | 31.6219i | −0.495886 | − | 1.64617i | ||||
\(370\) | −31.9191 | − | 10.3712i | −1.65940 | − | 0.539171i | ||||
\(371\) | −14.7085 | + | 10.7021i | −0.763626 | + | 0.555624i | ||||
\(372\) | −5.92294 | + | 6.43711i | −0.307090 | + | 0.333749i | ||||
\(373\) | 5.86734 | − | 3.38751i | 0.303799 | − | 0.175399i | −0.340349 | − | 0.940299i | \(-0.610545\pi\) |
0.644148 | + | 0.764901i | \(0.277212\pi\) | |||||||
\(374\) | 6.84851 | − | 5.89674i | 0.354128 | − | 0.304913i | ||||
\(375\) | 6.27778 | + | 2.11489i | 0.324183 | + | 0.109212i | ||||
\(376\) | −3.80198 | + | 8.53939i | −0.196072 | + | 0.440385i | ||||
\(377\) | −4.91595 | + | 1.59729i | −0.253184 | + | 0.0822645i | ||||
\(378\) | −13.7110 | + | 1.00362i | −0.705220 | + | 0.0516204i | ||||
\(379\) | −25.4883 | − | 18.5184i | −1.30925 | − | 0.951224i | −1.00000 | 0.000242201i | \(-0.999923\pi\) | |
−0.309247 | − | 0.950982i | \(-0.600077\pi\) | |||||||
\(380\) | 2.19974 | − | 20.9291i | 0.112844 | − | 1.07364i | ||||
\(381\) | 15.5859 | − | 20.9728i | 0.798492 | − | 1.07447i | ||||
\(382\) | 0.375896 | − | 1.76845i | 0.0192325 | − | 0.0904820i | ||||
\(383\) | −11.4024 | + | 25.6103i | −0.582637 | + | 1.30862i | 0.346208 | + | 0.938158i | \(0.387469\pi\) |
−0.928846 | + | 0.370467i | \(0.879198\pi\) | |||||||
\(384\) | 1.69799 | − | 0.341822i | 0.0866500 | − | 0.0174436i | ||||
\(385\) | −12.4875 | + | 26.5005i | −0.636421 | + | 1.35059i | ||||
\(386\) | − | 3.47642i | − | 0.176945i | ||||||
\(387\) | 0.0646173 | − | 2.99547i | 0.00328468 | − | 0.152268i | ||||
\(388\) | −3.35203 | − | 0.712496i | −0.170174 | − | 0.0361715i | ||||
\(389\) | −3.26130 | + | 2.93648i | −0.165354 | + | 0.148886i | −0.747654 | − | 0.664089i | \(-0.768820\pi\) |
0.582300 | + | 0.812974i | \(0.302153\pi\) | |||||||
\(390\) | 1.61883 | + | 17.1826i | 0.0819724 | + | 0.870077i | ||||
\(391\) | 1.71801 | − | 2.36463i | 0.0868833 | − | 0.119585i | ||||
\(392\) | 6.84906 | + | 1.44579i | 0.345930 | + | 0.0730236i | ||||
\(393\) | 2.43784 | + | 4.32963i | 0.122973 | + | 0.218401i | ||||
\(394\) | −2.30641 | − | 1.02688i | −0.116195 | − | 0.0517334i | ||||
\(395\) | 28.7395 | − | 49.7783i | 1.44604 | − | 2.50462i | ||||
\(396\) | 9.84042 | + | 1.47180i | 0.494500 | + | 0.0739609i | ||||
\(397\) | −18.5435 | − | 32.1184i | −0.930674 | − | 1.61197i | −0.782172 | − | 0.623062i | \(-0.785888\pi\) |
−0.148502 | − | 0.988912i | \(-0.547445\pi\) | |||||||
\(398\) | −11.7330 | + | 8.52455i | −0.588124 | + | 0.427297i | ||||
\(399\) | −28.1932 | − | 6.29045i | −1.41143 | − | 0.314916i | ||||
\(400\) | −1.89910 | + | 5.84482i | −0.0949549 | + | 0.292241i | ||||
\(401\) | −28.1005 | − | 2.95348i | −1.40327 | − | 0.147490i | −0.627555 | − | 0.778572i | \(-0.715944\pi\) |
−0.775716 | + | 0.631082i | \(0.782611\pi\) | |||||||
\(402\) | −5.25556 | + | 3.73246i | −0.262123 | + | 0.186158i | ||||
\(403\) | 11.2018 | − | 10.0862i | 0.558004 | − | 0.502429i | ||||
\(404\) | −5.97819 | + | 6.63946i | −0.297426 | + | 0.330325i | ||||
\(405\) | −29.7187 | − | 4.42640i | −1.47673 | − | 0.219950i | ||||
\(406\) | −0.949510 | + | 4.48252i | −0.0471234 | + | 0.222464i | ||||
\(407\) | 20.1912 | − | 26.5328i | 1.00084 | − | 1.31518i | ||||
\(408\) | −3.12002 | − | 3.54120i | −0.154464 | − | 0.175315i | ||||
\(409\) | −26.3232 | + | 2.76668i | −1.30160 | + | 0.136803i | −0.729839 | − | 0.683619i | \(-0.760405\pi\) |
−0.571758 | + | 0.820422i | \(0.693739\pi\) | |||||||
\(410\) | −7.64114 | + | 35.9488i | −0.377369 | + | 1.77538i | ||||
\(411\) | 3.26092 | + | 7.54199i | 0.160849 | + | 0.372019i | ||||
\(412\) | 8.43066 | + | 6.12523i | 0.415349 | + | 0.301768i | ||||
\(413\) | −4.86451 | + | 15.0071i | −0.239367 | + | 0.738453i | ||||
\(414\) | 3.20686 | − | 0.267271i | 0.157608 | − | 0.0131357i | ||||
\(415\) | −29.7665 | − | 26.8019i | −1.46118 | − | 1.31565i | ||||
\(416\) | −2.96832 | + | 0.311983i | −0.145534 | + | 0.0152962i | ||||
\(417\) | 18.6161 | + | 6.27147i | 0.911632 | + | 0.307115i | ||||
\(418\) | 18.9057 | + | 8.92489i | 0.924710 | + | 0.436531i | ||||
\(419\) | − | 33.9103i | − | 1.65663i | −0.560264 | − | 0.828314i | \(-0.689300\pi\) | ||
0.560264 | − | 0.828314i | \(-0.310700\pi\) | |||||||
\(420\) | 13.9128 | + | 6.36326i | 0.678876 | + | 0.310495i | ||||
\(421\) | 4.92289 | + | 15.1511i | 0.239927 | + | 0.738420i | 0.996430 | + | 0.0844289i | \(0.0269066\pi\) |
−0.756502 | + | 0.653991i | \(0.773093\pi\) | |||||||
\(422\) | 0.366635 | + | 1.72488i | 0.0178475 | + | 0.0839660i | ||||
\(423\) | 20.4302 | + | 19.2092i | 0.993349 | + | 0.933985i | ||||
\(424\) | −2.79637 | − | 6.28076i | −0.135804 | − | 0.305021i | ||||
\(425\) | 16.3800 | − | 3.48168i | 0.794547 | − | 0.168886i | ||||
\(426\) | 1.85619 | − | 1.04515i | 0.0899328 | − | 0.0506375i | ||||
\(427\) | −24.7213 | + | 11.0274i | −1.19635 | + | 0.533652i | ||||
\(428\) | −15.2695 | −0.738080 | ||||||||
\(429\) | −16.6444 | − | 4.11556i | −0.803597 | − | 0.198701i | ||||
\(430\) | −1.66712 | + | 2.88753i | −0.0803955 | + | 0.139249i | ||||
\(431\) | 0.540037 | + | 5.13811i | 0.0260127 | + | 0.247494i | 0.999799 | + | 0.0200310i | \(0.00637648\pi\) |
−0.973787 | + | 0.227463i | \(0.926957\pi\) | |||||||
\(432\) | 0.710020 | − | 5.14741i | 0.0341609 | − | 0.247655i | ||||
\(433\) | −0.666032 | + | 2.04984i | −0.0320074 | + | 0.0985088i | −0.965784 | − | 0.259348i | \(-0.916492\pi\) |
0.933777 | + | 0.357857i | \(0.116492\pi\) | |||||||
\(434\) | −2.78725 | − | 13.0680i | −0.133792 | − | 0.627283i | ||||
\(435\) | −4.17157 | + | 9.10399i | −0.200011 | + | 0.436503i | ||||
\(436\) | −2.01686 | − | 9.48856i | −0.0965899 | − | 0.454420i | ||||
\(437\) | 6.61379 | + | 1.40580i | 0.316380 | + | 0.0672487i | ||||
\(438\) | −9.88980 | + | 3.09588i | −0.472553 | + | 0.147927i | ||||
\(439\) | −18.5718 | + | 10.7224i | −0.886383 | + | 0.511753i | −0.872758 | − | 0.488154i | \(-0.837670\pi\) |
−0.0136252 | + | 0.999907i | \(0.504337\pi\) | |||||||
\(440\) | −8.81136 | − | 6.70535i | −0.420065 | − | 0.319665i | ||||
\(441\) | 10.8646 | − | 17.9711i | 0.517363 | − | 0.855766i | ||||
\(442\) | 4.78035 | + | 6.57958i | 0.227378 | + | 0.312959i | ||||
\(443\) | 9.19482 | + | 8.27905i | 0.436859 | + | 0.393350i | 0.858003 | − | 0.513644i | \(-0.171705\pi\) |
−0.421144 | + | 0.906994i | \(0.638371\pi\) | |||||||
\(444\) | −13.9756 | − | 10.3859i | −0.663251 | − | 0.492895i | ||||
\(445\) | −41.4135 | + | 18.4385i | −1.96319 | + | 0.874068i | ||||
\(446\) | −1.39780 | + | 13.2992i | −0.0661877 | + | 0.629734i | ||||
\(447\) | 1.02576 | − | 8.84121i | 0.0485168 | − | 0.418175i | ||||
\(448\) | −1.07443 | + | 2.41777i | −0.0507621 | + | 0.114229i | ||||
\(449\) | 7.18781 | + | 9.89317i | 0.339214 | + | 0.466887i | 0.944212 | − | 0.329340i | \(-0.106826\pi\) |
−0.604998 | + | 0.796227i | \(0.706826\pi\) | |||||||
\(450\) | 14.6785 | + | 11.1561i | 0.691952 | + | 0.525902i | ||||
\(451\) | −31.2068 | − | 18.9522i | −1.46947 | − | 0.892426i | ||||
\(452\) | −8.87350 | − | 5.12312i | −0.417374 | − | 0.240971i | ||||
\(453\) | −3.25266 | + | 14.5303i | −0.152824 | + | 0.682692i | ||||
\(454\) | 1.95130 | + | 6.00549i | 0.0915792 | + | 0.281852i | ||||
\(455\) | −22.8404 | − | 13.1656i | −1.07077 | − | 0.617212i | ||||
\(456\) | 4.54807 | − | 9.92567i | 0.212983 | − | 0.464812i | ||||
\(457\) | −15.9931 | − | 1.68094i | −0.748123 | − | 0.0786309i | −0.277209 | − | 0.960810i | \(-0.589409\pi\) |
−0.470915 | + | 0.882179i | \(0.656076\pi\) | |||||||
\(458\) | −6.54045 | − | 7.26390i | −0.305615 | − | 0.339420i | ||||
\(459\) | −13.1142 | + | 5.33749i | −0.612119 | + | 0.249133i | ||||
\(460\) | −3.27147 | − | 1.45655i | −0.152533 | − | 0.0679122i | ||||
\(461\) | −17.8529 | −0.831491 | −0.415745 | − | 0.909481i | \(-0.636479\pi\) | ||||
−0.415745 | + | 0.909481i | \(0.636479\pi\) | |||||||
\(462\) | −10.5290 | + | 10.9609i | −0.489851 | + | 0.509947i | ||||
\(463\) | −25.1200 | −1.16742 | −0.583712 | − | 0.811961i | \(-0.698400\pi\) | ||||
−0.583712 | + | 0.811961i | \(0.698400\pi\) | |||||||
\(464\) | −1.58210 | − | 0.704397i | −0.0734473 | − | 0.0327008i | ||||
\(465\) | 0.314928 | − | 29.2016i | 0.0146044 | − | 1.35419i | ||||
\(466\) | 0.334920 | + | 0.371967i | 0.0155149 | + | 0.0172310i | ||||
\(467\) | −10.7061 | − | 1.12525i | −0.495418 | − | 0.0520705i | −0.146475 | − | 0.989214i | \(-0.546793\pi\) |
−0.348943 | + | 0.937144i | \(0.613459\pi\) | |||||||
\(468\) | −2.05010 | + | 8.71615i | −0.0947658 | + | 0.402904i | ||||
\(469\) | −0.00689288 | − | 9.84657i | −0.000318284 | − | 0.454673i | ||||
\(470\) | −9.64342 | − | 29.6794i | −0.444818 | − | 1.36901i | ||||
\(471\) | 28.4445 | + | 6.36741i | 1.31065 | + | 0.293395i | ||||
\(472\) | −5.16386 | − | 2.98136i | −0.237686 | − | 0.137228i | ||||
\(473\) | −2.16128 | − | 2.51013i | −0.0993758 | − | 0.115416i | ||||
\(474\) | 22.3750 | − | 19.7138i | 1.02772 | − | 0.905485i | ||||
\(475\) | 22.7703 | + | 31.3406i | 1.04477 | + | 1.43800i | ||||
\(476\) | 7.16929 | − | 0.758597i | 0.328604 | − | 0.0347702i | ||||
\(477\) | −20.5542 | + | 1.71306i | −0.941111 | + | 0.0784356i | ||||
\(478\) | −0.0682348 | + | 0.649211i | −0.00312099 | + | 0.0296942i | ||||
\(479\) | −20.8775 | + | 9.29526i | −0.953917 | + | 0.424711i | −0.823859 | − | 0.566795i | \(-0.808183\pi\) |
−0.130058 | + | 0.991506i | \(0.541516\pi\) | |||||||
\(480\) | −3.44909 | + | 4.64118i | −0.157429 | + | 0.211840i | ||||
\(481\) | 22.2978 | + | 20.0770i | 1.01669 | + | 0.915435i | ||||
\(482\) | 2.66867 | + | 3.67312i | 0.121555 | + | 0.167306i | ||||
\(483\) | −2.50057 | + | 4.23198i | −0.113780 | + | 0.192562i | ||||
\(484\) | 9.17714 | − | 6.06466i | 0.417143 | − | 0.275667i | ||||
\(485\) | 9.90800 | − | 5.72039i | 0.449899 | − | 0.259749i | ||||
\(486\) | −13.8784 | − | 7.09868i | −0.629535 | − | 0.322003i | ||||
\(487\) | −12.9944 | − | 2.76204i | −0.588831 | − | 0.125160i | −0.0961453 | − | 0.995367i | \(-0.530651\pi\) |
−0.492685 | + | 0.870207i | \(0.663985\pi\) | |||||||
\(488\) | −2.12719 | − | 10.0077i | −0.0962935 | − | 0.453025i | ||||
\(489\) | −9.72333 | − | 4.45536i | −0.439704 | − | 0.201478i | ||||
\(490\) | −20.2222 | + | 11.7131i | −0.913547 | + | 0.529143i | ||||
\(491\) | −7.50139 | + | 23.0869i | −0.338533 | + | 1.04190i | 0.626423 | + | 0.779484i | \(0.284518\pi\) |
−0.964956 | + | 0.262413i | \(0.915482\pi\) | |||||||
\(492\) | −9.71114 | + | 16.4090i | −0.437812 | + | 0.739773i | ||||
\(493\) | 0.493269 | + | 4.69314i | 0.0222157 | + | 0.211368i | ||||
\(494\) | −9.40699 | + | 16.2934i | −0.423240 | + | 0.733074i | ||||
\(495\) | −27.7019 | + | 18.3309i | −1.24511 | + | 0.823914i | ||||
\(496\) | 5.05033 | 0.226767 | ||||||||
\(497\) | −0.337864 | + | 3.23636i | −0.0151553 | + | 0.145170i | ||||
\(498\) | −10.1957 | − | 18.1077i | −0.456882 | − | 0.811427i | ||||
\(499\) | 38.1694 | − | 8.11316i | 1.70870 | − | 0.363195i | 0.753108 | − | 0.657897i | \(-0.228554\pi\) |
0.955589 | + | 0.294703i | \(0.0952206\pi\) | |||||||
\(500\) | −1.55561 | − | 3.49397i | −0.0695692 | − | 0.156255i | ||||
\(501\) | −1.13475 | + | 0.805895i | −0.0506971 | + | 0.0360047i | ||||
\(502\) | −4.10139 | − | 19.2955i | −0.183054 | − | 0.861200i | ||||
\(503\) | 13.1616 | + | 40.5071i | 0.586845 | + | 1.80612i | 0.591730 | + | 0.806136i | \(0.298445\pi\) |
−0.00488488 | + | 0.999988i | \(0.501555\pi\) | |||||||
\(504\) | 5.78642 | + | 5.43299i | 0.257748 | + | 0.242004i | ||||
\(505\) | − | 29.8271i | − | 1.32729i | ||||||
\(506\) | 2.43855 | − | 2.59037i | 0.108407 | − | 0.115156i | ||||
\(507\) | −2.26260 | + | 6.71624i | −0.100486 | + | 0.298279i | ||||
\(508\) | −15.0035 | + | 1.57694i | −0.665675 | + | 0.0699652i | ||||
\(509\) | −26.5793 | − | 23.9321i | −1.17811 | − | 1.06077i | −0.997007 | − | 0.0773067i | \(-0.975368\pi\) |
−0.181099 | − | 0.983465i | \(-0.557965\pi\) | |||||||
\(510\) | 15.6514 | + | 1.81588i | 0.693056 | + | 0.0804086i | ||||
\(511\) | 4.88114 | − | 15.0585i | 0.215929 | − | 0.666147i | ||||
\(512\) | −0.809017 | − | 0.587785i | −0.0357538 | − | 0.0259767i | ||||
\(513\) | −23.6194 | − | 22.6927i | −1.04282 | − | 1.00191i | ||||
\(514\) | −0.935775 | + | 4.40247i | −0.0412753 | + | 0.194185i | ||||
\(515\) | −34.5995 | + | 3.63656i | −1.52464 | + | 0.160246i | ||||
\(516\) | −1.29793 | + | 1.14356i | −0.0571380 | + | 0.0503422i | ||||
\(517\) | 30.9946 | + | 0.687530i | 1.36314 | + | 0.0302375i | ||||
\(518\) | 25.2900 | − | 8.23680i | 1.11118 | − | 0.361904i | ||||
\(519\) | −24.0952 | + | 26.1869i | −1.05766 | + | 1.14948i | ||||
\(520\) | 6.66744 | − | 7.40494i | 0.292387 | − | 0.324728i | ||||
\(521\) | 2.41414 | − | 2.17370i | 0.105765 | − | 0.0952315i | −0.614552 | − | 0.788877i | \(-0.710663\pi\) |
0.720317 | + | 0.693645i | \(0.243996\pi\) | |||||||
\(522\) | −3.55892 | + | 3.78512i | −0.155770 | + | 0.165670i | ||||
\(523\) | 12.8721 | + | 1.35291i | 0.562858 | + | 0.0591587i | 0.381685 | − | 0.924293i | \(-0.375344\pi\) |
0.181173 | + | 0.983451i | \(0.442011\pi\) | |||||||
\(524\) | 0.886485 | − | 2.72832i | 0.0387263 | − | 0.119187i | ||||
\(525\) | −26.8707 | + | 8.43222i | −1.17274 | + | 0.368012i | ||||
\(526\) | 14.8039 | − | 10.7557i | 0.645480 | − | 0.468969i | ||||
\(527\) | −6.88073 | − | 11.9178i | −0.299729 | − | 0.519146i | ||||
\(528\) | −3.22157 | − | 4.75621i | −0.140201 | − | 0.206987i | ||||
\(529\) | −10.9247 | + | 18.9221i | −0.474987 | + | 0.822702i | ||||
\(530\) | 20.9683 | + | 9.33571i | 0.910806 | + | 0.405517i | ||||
\(531\) | −13.5485 | + | 11.6800i | −0.587956 | + | 0.506870i | ||||
\(532\) | 8.34891 | + | 14.4374i | 0.361971 | + | 0.625940i | ||||
\(533\) | 19.3127 | − | 26.5816i | 0.836525 | − | 1.15138i | ||||
\(534\) | −23.4154 | + | 2.20603i | −1.01328 | + | 0.0954644i | ||||
\(535\) | 37.8835 | − | 34.1105i | 1.63785 | − | 1.47473i | ||||
\(536\) | 3.64033 | + | 0.773776i | 0.157238 | + | 0.0334220i | ||||
\(537\) | −2.51320 | + | 11.2270i | −0.108453 | + | 0.484479i | ||||
\(538\) | 31.8414i | 1.37278i | ||||||||
\(539\) | −4.35409 | − | 22.8044i | −0.187544 | − | 0.982256i | ||||
\(540\) | 9.73723 | + | 14.3568i | 0.419024 | + | 0.617818i | ||||
\(541\) | 15.0775 | − | 33.8646i | 0.648232 | − | 1.45595i | −0.227804 | − | 0.973707i | \(-0.573155\pi\) |
0.876036 | − | 0.482245i | \(-0.160179\pi\) | |||||||
\(542\) | −1.23587 | + | 5.81433i | −0.0530853 | + | 0.249747i | ||||
\(543\) | 16.9611 | + | 12.6046i | 0.727869 | + | 0.540916i | ||||
\(544\) | −0.284826 | + | 2.70994i | −0.0122118 | + | 0.116188i | ||||
\(545\) | 26.2003 | + | 19.0356i | 1.12230 | + | 0.815396i | ||||
\(546\) | −9.04905 | − | 10.2561i | −0.387264 | − | 0.438921i | ||||
\(547\) | 26.0099 | − | 8.45114i | 1.11211 | − | 0.361345i | 0.305356 | − | 0.952238i | \(-0.401225\pi\) |
0.806750 | + | 0.590894i | \(0.201225\pi\) | |||||||
\(548\) | 1.92954 | − | 4.33381i | 0.0824258 | − | 0.185131i | ||||
\(549\) | −30.4493 | − | 3.86595i | −1.29954 | − | 0.164995i | ||||
\(550\) | 20.3133 | − | 1.68050i | 0.866161 | − | 0.0716568i | ||||
\(551\) | −9.45409 | + | 5.45832i | −0.402758 | + | 0.232532i | ||||
\(552\) | −1.36720 | − | 1.25799i | −0.0581920 | − | 0.0535438i | ||||
\(553\) | 4.79318 | + | 45.2990i | 0.203827 | + | 1.92631i | ||||
\(554\) | 2.54891 | + | 0.828190i | 0.108293 | + | 0.0351864i | ||||
\(555\) | 57.8744 | − | 5.45251i | 2.45663 | − | 0.231446i | ||||
\(556\) | −4.61300 | − | 10.3610i | −0.195635 | − | 0.439403i | ||||
\(557\) | 24.8415 | + | 27.5893i | 1.05257 | + | 1.16899i | 0.985225 | + | 0.171264i | \(0.0547852\pi\) |
0.0673422 | + | 0.997730i | \(0.478548\pi\) | |||||||
\(558\) | 4.99159 | − | 14.3051i | 0.211311 | − | 0.605584i | ||||
\(559\) | 2.41156 | − | 1.75210i | 0.101998 | − | 0.0741060i | ||||
\(560\) | −2.73538 | − | 8.39863i | −0.115591 | − | 0.354907i | ||||
\(561\) | −6.83453 | + | 14.0823i | −0.288554 | + | 0.594554i | ||||
\(562\) | −9.71050 | − | 16.8191i | −0.409613 | − | 0.709470i | ||||
\(563\) | −2.17353 | − | 20.6797i | −0.0916033 | − | 0.871547i | −0.939768 | − | 0.341814i | \(-0.888959\pi\) |
0.848164 | − | 0.529733i | \(-0.177708\pi\) | |||||||
\(564\) | 0.174597 | − | 16.1895i | 0.00735184 | − | 0.681699i | ||||
\(565\) | 33.4596 | − | 7.11206i | 1.40766 | − | 0.299206i | ||||
\(566\) | −9.38992 | + | 12.9241i | −0.394688 | + | 0.543241i | ||||
\(567\) | 21.1081 | − | 11.0203i | 0.886458 | − | 0.462810i | ||||
\(568\) | −1.16968 | − | 0.380052i | −0.0490787 | − | 0.0159466i | ||||
\(569\) | −12.0790 | + | 13.4151i | −0.506380 | + | 0.562392i | −0.941080 | − | 0.338183i | \(-0.890188\pi\) |
0.434700 | + | 0.900575i | \(0.356854\pi\) | |||||||
\(570\) | 10.8892 | + | 34.7854i | 0.456097 | + | 1.45700i | ||||
\(571\) | 14.9901 | + | 8.65456i | 0.627317 | + | 0.362182i | 0.779712 | − | 0.626138i | \(-0.215365\pi\) |
−0.152395 | + | 0.988320i | \(0.548699\pi\) | |||||||
\(572\) | 4.75818 | + | 8.68047i | 0.198949 | + | 0.362949i | ||||
\(573\) | 0.618002 | + | 3.06989i | 0.0258174 | + | 0.128247i | ||||
\(574\) | −11.8651 | − | 26.5994i | −0.495240 | − | 1.11024i | ||||
\(575\) | 6.26950 | − | 2.03708i | 0.261456 | − | 0.0849522i | ||||
\(576\) | −2.46452 | + | 1.71060i | −0.102688 | + | 0.0712751i | ||||
\(577\) | 10.1319 | − | 4.51101i | 0.421797 | − | 0.187796i | −0.184851 | − | 0.982766i | \(-0.559180\pi\) |
0.606648 | + | 0.794970i | \(0.292514\pi\) | |||||||
\(578\) | −8.74731 | + | 3.89455i | −0.363840 | + | 0.161992i | ||||
\(579\) | 2.38964 | + | 5.52686i | 0.0993100 | + | 0.229689i | ||||
\(580\) | 5.49873 | − | 1.78665i | 0.228323 | − | 0.0741865i | ||||
\(581\) | 31.5717 | + | 3.29597i | 1.30981 | + | 0.136740i | ||||
\(582\) | 5.81886 | − | 1.17140i | 0.241199 | − | 0.0485560i | ||||
\(583\) | −15.6297 | + | 16.6029i | −0.647318 | + | 0.687620i | ||||
\(584\) | 5.18152 | + | 2.99155i | 0.214413 | + | 0.123791i | ||||
\(585\) | −14.3847 | − | 26.2044i | −0.594734 | − | 1.08342i | ||||
\(586\) | 7.30682 | − | 8.11504i | 0.301842 | − | 0.335229i | ||||
\(587\) | 17.3402 | + | 5.63418i | 0.715708 | + | 0.232548i | 0.644161 | − | 0.764890i | \(-0.277206\pi\) |
0.0715467 | + | 0.997437i | \(0.477206\pi\) | |||||||
\(588\) | −11.8825 | + | 2.40940i | −0.490028 | + | 0.0993618i | ||||
\(589\) | 18.7121 | − | 25.7550i | 0.771020 | − | 1.06122i | ||||
\(590\) | 19.4715 | − | 4.13881i | 0.801631 | − | 0.170392i | ||||
\(591\) | 4.37262 | + | 0.0471569i | 0.179865 | + | 0.00193977i | ||||
\(592\) | 1.05082 | + | 9.99786i | 0.0431883 | + | 0.410910i | ||||
\(593\) | 6.16209 | + | 10.6730i | 0.253047 | + | 0.438290i | 0.964363 | − | 0.264582i | \(-0.0852341\pi\) |
−0.711317 | + | 0.702872i | \(0.751901\pi\) | |||||||
\(594\) | −16.6561 | + | 4.42425i | −0.683408 | + | 0.181529i | ||||
\(595\) | −16.0923 | + | 17.8975i | −0.659721 | + | 0.733726i | ||||
\(596\) | −4.15731 | + | 3.02046i | −0.170290 | + | 0.123723i | ||||
\(597\) | 12.7937 | − | 21.6175i | 0.523611 | − | 0.884747i | ||||
\(598\) | 2.14224 | + | 2.37920i | 0.0876028 | + | 0.0972928i | ||||
\(599\) | −8.76998 | − | 19.6977i | −0.358332 | − | 0.804826i | −0.999305 | − | 0.0372632i | \(-0.988136\pi\) |
0.640974 | − | 0.767563i | \(-0.278531\pi\) | |||||||
\(600\) | −0.998428 | − | 10.5976i | −0.0407607 | − | 0.432644i | ||||
\(601\) | 17.0063 | + | 5.52569i | 0.693702 | + | 0.225398i | 0.634585 | − | 0.772853i | \(-0.281171\pi\) |
0.0591179 | + | 0.998251i | \(0.481171\pi\) | |||||||
\(602\) | −0.278042 | − | 2.62770i | −0.0113322 | − | 0.107097i | ||||
\(603\) | 5.78972 | − | 9.54650i | 0.235776 | − | 0.388764i | ||||
\(604\) | 7.44494 | − | 4.29834i | 0.302930 | − | 0.174897i | ||||
\(605\) | −9.22058 | + | 35.5471i | −0.374870 | + | 1.44520i | ||||
\(606\) | 4.94035 | − | 14.6648i | 0.200688 | − | 0.595717i | ||||
\(607\) | −8.20506 | + | 18.4289i | −0.333033 | + | 0.748005i | 0.666962 | + | 0.745091i | \(0.267594\pi\) |
−0.999996 | + | 0.00291373i | \(0.999073\pi\) | |||||||
\(608\) | −5.99502 | + | 1.94790i | −0.243130 | + | 0.0789978i | ||||
\(609\) | −1.57167 | − | 7.77905i | −0.0636873 | − | 0.315223i | ||||
\(610\) | 27.6336 | + | 20.0770i | 1.11885 | + | 0.812893i | ||||
\(611\) | −2.91627 | + | 27.7464i | −0.117980 | + | 1.12250i | ||||
\(612\) | 7.39441 | + | 3.48519i | 0.298901 | + | 0.140880i | ||||
\(613\) | 2.23682 | − | 10.5234i | 0.0903444 | − | 0.425037i | −0.909610 | − | 0.415464i | \(-0.863619\pi\) |
0.999954 | − | 0.00957323i | \(-0.00304730\pi\) | |||||||
\(614\) | −5.05986 | + | 11.3646i | −0.204200 | + | 0.458640i | ||||
\(615\) | −12.5626 | − | 62.4042i | −0.506573 | − | 2.51638i | ||||
\(616\) | 8.77294 | + | 0.188459i | 0.353472 | + | 0.00759324i | ||||
\(617\) | 44.5484i | 1.79345i | 0.442589 | + | 0.896725i | \(0.354060\pi\) | ||||
−0.442589 | + | 0.896725i | \(0.645940\pi\) | |||||||
\(618\) | −17.6135 | − | 3.94287i | −0.708521 | − | 0.158605i | ||||
\(619\) | −15.3636 | − | 3.26563i | −0.617515 | − | 0.131257i | −0.111476 | − | 0.993767i | \(-0.535558\pi\) |
−0.506040 | + | 0.862510i | \(0.668891\pi\) | |||||||
\(620\) | −12.5298 | + | 11.2819i | −0.503210 | + | 0.453093i | ||||
\(621\) | −4.91458 | + | 2.62925i | −0.197215 | + | 0.105508i | ||||
\(622\) | 2.19160 | − | 3.01647i | 0.0878750 | − | 0.120950i | ||||
\(623\) | 17.9412 | − | 31.1254i | 0.718800 | − | 1.24701i | ||||
\(624\) | 4.50462 | − | 2.53637i | 0.180329 | − | 0.101536i | ||||
\(625\) | −16.4068 | − | 7.30480i | −0.656274 | − | 0.292192i | ||||
\(626\) | 5.00457 | − | 8.66816i | 0.200023 | − | 0.346450i | ||||
\(627\) | −36.1914 | − | 1.19340i | −1.44535 | − | 0.0476599i | ||||
\(628\) | −8.41443 | − | 14.5742i | −0.335772 | − | 0.581575i | ||||
\(629\) | 22.1613 | − | 16.1011i | 0.883628 | − | 0.641994i | ||||
\(630\) | −26.4928 | − | 0.552940i | −1.05550 | − | 0.0220297i | ||||
\(631\) | −6.45028 | + | 19.8519i | −0.256782 | + | 0.790293i | 0.736692 | + | 0.676229i | \(0.236387\pi\) |
−0.993473 | + | 0.114064i | \(0.963613\pi\) | |||||||
\(632\) | −17.1227 | − | 1.79967i | −0.681103 | − | 0.0715868i | ||||
\(633\) | −1.76854 | − | 2.49022i | −0.0702931 | − | 0.0989774i | ||||
\(634\) | −16.2237 | + | 14.6079i | −0.644327 | + | 0.580154i | ||||
\(635\) | 33.7010 | − | 37.4287i | 1.33738 | − | 1.48531i | ||||
\(636\) | 8.76300 | + | 8.06305i | 0.347476 | + | 0.319721i | ||||
\(637\) | 20.7752 | − | 2.21297i | 0.823142 | − | 0.0876810i | ||||
\(638\) | −0.127379 | + | 5.74241i | −0.00504300 | + | 0.227344i | ||||
\(639\) | −2.23258 | + | 2.93750i | −0.0883194 | + | 0.116206i | ||||
\(640\) | 3.32022 | − | 0.348969i | 0.131243 | − | 0.0137942i | ||||
\(641\) | 7.37927 | − | 34.7167i | 0.291463 | − | 1.37123i | −0.551912 | − | 0.833903i | \(-0.686101\pi\) |
0.843375 | − | 0.537325i | \(-0.180565\pi\) | |||||||
\(642\) | 24.2757 | − | 10.4960i | 0.958084 | − | 0.414245i | ||||
\(643\) | 16.1761 | + | 11.7527i | 0.637925 | + | 0.463480i | 0.859137 | − | 0.511746i | \(-0.171001\pi\) |
−0.221212 | + | 0.975226i | \(0.571001\pi\) | |||||||
\(644\) | 2.77556 | − | 0.591994i | 0.109372 | − | 0.0233278i | ||||
\(645\) | 0.665560 | − | 5.73658i | 0.0262064 | − | 0.225878i | ||||
\(646\) | 12.7645 | + | 11.4932i | 0.502211 | + | 0.452193i | ||||
\(647\) | −0.961375 | + | 0.101045i | −0.0377956 | + | 0.00397247i | −0.123407 | − | 0.992356i | \(-0.539382\pi\) |
0.0856118 | + | 0.996329i | \(0.472716\pi\) | |||||||
\(648\) | 2.40945 | + | 8.67148i | 0.0946522 | + | 0.340648i | ||||
\(649\) | −2.50282 | + | 19.6171i | −0.0982444 | + | 0.770038i | ||||
\(650\) | 18.3426i | 0.719456i | ||||||||
\(651\) | 13.4139 | + | 18.8597i | 0.525733 | + | 0.739171i | ||||
\(652\) | 1.90819 | + | 5.87281i | 0.0747305 | + | 0.229997i | ||||
\(653\) | 6.09098 | + | 28.6558i | 0.238358 | + | 1.12139i | 0.920675 | + | 0.390331i | \(0.127639\pi\) |
−0.682316 | + | 0.731057i | \(0.739027\pi\) | |||||||
\(654\) | 9.72871 | + | 13.6987i | 0.380423 | + | 0.535661i | ||||
\(655\) | 3.89542 | + | 8.74926i | 0.152207 | + | 0.341862i | ||||
\(656\) | 10.7679 | − | 2.28879i | 0.420417 | − | 0.0893623i | ||||
\(657\) | 13.5949 | − | 11.7200i | 0.530386 | − | 0.457239i | ||||
\(658\) | 20.0182 | + | 14.5226i | 0.780389 | + | 0.566152i | ||||
\(659\) | −32.4424 | −1.26378 | −0.631888 | − | 0.775060i | \(-0.717720\pi\) | ||||
−0.631888 | + | 0.775060i | \(0.717720\pi\) | |||||||
\(660\) | 18.6176 | + | 4.60346i | 0.724687 | + | 0.179189i | ||||
\(661\) | 22.4002 | − | 38.7983i | 0.871268 | − | 1.50908i | 0.0105814 | − | 0.999944i | \(-0.496632\pi\) |
0.860686 | − | 0.509136i | \(-0.170035\pi\) | |||||||
\(662\) | −2.46305 | − | 23.4344i | −0.0957293 | − | 0.910803i | ||||
\(663\) | −12.1226 | − | 7.17437i | −0.470801 | − | 0.278629i | ||||
\(664\) | −3.70753 | + | 11.4106i | −0.143880 | + | 0.442818i | ||||
\(665\) | −52.9652 | − | 17.1684i | −2.05390 | − | 0.665764i | ||||
\(666\) | 29.3577 | + | 6.90512i | 1.13759 | + | 0.267568i | ||||
\(667\) | 0.386229 | + | 1.81706i | 0.0149548 | + | 0.0703570i | ||||
\(668\) | 0.786002 | + | 0.167070i | 0.0304113 | + | 0.00646413i | ||||
\(669\) | −6.91940 | − | 22.1040i | −0.267519 | − | 0.854590i | ||||
\(670\) | −10.7602 | + | 6.21238i | −0.415701 | + | 0.240005i | ||||
\(671\) | −27.8881 | + | 19.3317i | −1.07661 | + | 0.746292i | ||||
\(672\) | 0.0462106 | − | 4.58234i | 0.00178261 | − | 0.176768i | ||||
\(673\) | −2.27193 | − | 3.12705i | −0.0875765 | − | 0.120539i | 0.762981 | − | 0.646421i | \(-0.223735\pi\) |
−0.850557 | + | 0.525883i | \(0.823735\pi\) | |||||||
\(674\) | 10.1605 | + | 9.14853i | 0.391367 | + | 0.352388i | ||||
\(675\) | −31.0046 | − | 7.64626i | −1.19337 | − | 0.294305i | ||||
\(676\) | 3.73800 | − | 1.66426i | 0.143769 | − | 0.0640102i | ||||
\(677\) | −2.30535 | + | 21.9339i | −0.0886018 | + | 0.842989i | 0.856485 | + | 0.516171i | \(0.172643\pi\) |
−0.945087 | + | 0.326818i | \(0.894024\pi\) | |||||||
\(678\) | 17.6288 | + | 2.04529i | 0.677028 | + | 0.0785490i | ||||
\(679\) | −3.68199 | + | 8.28548i | −0.141302 | + | 0.317968i | ||||
\(680\) | −5.34706 | − | 7.35960i | −0.205050 | − | 0.282228i | ||||
\(681\) | −7.23028 | − | 8.20631i | −0.277065 | − | 0.314467i | ||||
\(682\) | −6.47184 | − | 15.4493i | −0.247820 | − | 0.591583i | ||||
\(683\) | −8.58069 | − | 4.95407i | −0.328331 | − | 0.189562i | 0.326769 | − | 0.945104i | \(-0.394040\pi\) |
−0.655100 | + | 0.755542i | \(0.727373\pi\) | |||||||
\(684\) | −0.407839 | + | 18.9062i | −0.0155941 | + | 0.722897i | ||||
\(685\) | 4.89412 | + | 15.0625i | 0.186995 | + | 0.575510i | ||||
\(686\) | 7.49732 | − | 16.9349i | 0.286249 | − | 0.646577i | ||||
\(687\) | 15.3912 | + | 7.05244i | 0.587210 | + | 0.269067i | ||||
\(688\) | 0.993250 | + | 0.104395i | 0.0378673 | + | 0.00398001i | ||||
\(689\) | −13.7306 | − | 15.2494i | −0.523094 | − | 0.580954i | ||||
\(690\) | 6.20224 | + | 0.0668886i | 0.236115 | + | 0.00254641i | ||||
\(691\) | 37.9697 | + | 16.9052i | 1.44444 | + | 0.643105i | 0.971294 | − | 0.237881i | \(-0.0764529\pi\) |
0.473143 | + | 0.880986i | \(0.343120\pi\) | |||||||
\(692\) | 20.5453 | 0.781017 | ||||||||
\(693\) | 9.20471 | − | 24.6632i | 0.349658 | − | 0.936877i | ||||
\(694\) | 7.25595 | 0.275432 | ||||||||
\(695\) | 34.5902 | + | 15.4005i | 1.31208 | + | 0.584175i | ||||
\(696\) | 2.99944 | + | 0.0323477i | 0.113693 | + | 0.00122614i | ||||
\(697\) | −20.0716 | − | 22.2918i | −0.760268 | − | 0.844363i | ||||
\(698\) | −14.5432 | − | 1.52855i | −0.550469 | − | 0.0578566i | ||||
\(699\) | −0.788145 | − | 0.361138i | −0.0298104 | − | 0.0136595i | ||||
\(700\) | 14.0870 | + | 8.12002i | 0.532440 | + | 0.306908i | ||||
\(701\) | −13.0745 | − | 40.2391i | −0.493816 | − | 1.51981i | −0.818794 | − | 0.574088i | \(-0.805357\pi\) |
0.324978 | − | 0.945722i | \(-0.394643\pi\) | |||||||
\(702\) | −2.73207 | − | 15.2663i | −0.103115 | − | 0.576188i | ||||
\(703\) | 54.8792 | + | 31.6845i | 2.06981 | + | 1.19500i | ||||
\(704\) | −0.761340 | + | 3.22806i | −0.0286941 | + | 0.121662i | ||||
\(705\) | 35.7324 | + | 40.5559i | 1.34576 | + | 1.52742i | ||||
\(706\) | 4.00501 | + | 5.51242i | 0.150730 | + | 0.207463i | ||||
\(707\) | 13.9074 | + | 19.1137i | 0.523040 | + | 0.718845i | ||||
\(708\) | 10.2589 | + | 1.19024i | 0.385554 | + | 0.0447320i | ||||
\(709\) | 0.423388 | − | 4.02827i | 0.0159007 | − | 0.151285i | −0.983691 | − | 0.179868i | \(-0.942433\pi\) |
0.999591 | + | 0.0285832i | \(0.00909956\pi\) | |||||||
\(710\) | 3.75097 | − | 1.67004i | 0.140771 | − | 0.0626754i | ||||
\(711\) | −22.0211 | + | 46.7214i | −0.825855 | + | 1.75219i | ||||
\(712\) | 10.0910 | + | 9.08596i | 0.378176 | + | 0.340511i | ||||
\(713\) | −3.18420 | − | 4.38267i | −0.119249 | − | 0.164132i | ||||
\(714\) | −10.8764 | + | 6.13408i | −0.407038 | + | 0.229562i | ||||
\(715\) | −31.1963 | − | 10.9069i | −1.16667 | − | 0.407895i | ||||
\(716\) | 5.75241 | − | 3.32116i | 0.214978 | − | 0.124117i | ||||
\(717\) | −0.337777 | − | 1.07903i | −0.0126145 | − | 0.0402970i | ||||
\(718\) | 6.94845 | + | 1.47694i | 0.259314 | + | 0.0551189i | ||||
\(719\) | 2.24117 | + | 10.5439i | 0.0835816 | + | 0.393221i | 0.999975 | − | 0.00705800i | \(-0.00224665\pi\) |
−0.916393 | + | 0.400279i | \(0.868913\pi\) | |||||||
\(720\) | 2.29314 | − | 9.74946i | 0.0854602 | − | 0.363341i | ||||
\(721\) | 20.4763 | − | 18.4630i | 0.762579 | − | 0.687596i | ||||
\(722\) | −6.40735 | + | 19.7198i | −0.238457 | + | 0.733894i | ||||
\(723\) | −6.76753 | − | 4.00516i | −0.251687 | − | 0.148953i | ||||
\(724\) | −1.27530 | − | 12.1336i | −0.0473960 | − | 0.450943i | ||||
\(725\) | −5.32157 | + | 9.21722i | −0.197638 | + | 0.342319i | ||||
\(726\) | −10.4212 | + | 15.9499i | −0.386766 | + | 0.591956i | ||||
\(727\) | 1.55296 | 0.0575962 | 0.0287981 | − | 0.999585i | \(-0.490832\pi\) | ||||
0.0287981 | + | 0.999585i | \(0.490832\pi\) | |||||||
\(728\) | −0.819931 | + | 7.85401i | −0.0303887 | + | 0.291089i | ||||
\(729\) | 26.9435 | + | 1.74582i | 0.997907 | + | 0.0646599i | ||||
\(730\) | −19.5381 | + | 4.15296i | −0.723138 | + | 0.153708i | ||||
\(731\) | −1.10688 | − | 2.48610i | −0.0409396 | − | 0.0919518i | ||||
\(732\) | 10.2609 | + | 14.4481i | 0.379255 | + | 0.534017i | ||||
\(733\) | −4.30849 | − | 20.2698i | −0.159138 | − | 0.748684i | −0.983251 | − | 0.182258i | \(-0.941659\pi\) |
0.824113 | − | 0.566425i | \(-0.191674\pi\) | |||||||
\(734\) | −2.71180 | − | 8.34608i | −0.100095 | − | 0.308059i | ||||
\(735\) | 24.0982 | − | 32.5220i | 0.888874 | − | 1.19959i | ||||
\(736\) | 1.07266i | 0.0395387i | ||||||||
\(737\) | −2.29794 | − | 12.1275i | −0.0846457 | − | 0.446724i | ||||
\(738\) | 4.15964 | − | 32.7624i | 0.153119 | − | 1.20600i | ||||
\(739\) | 19.9611 | − | 2.09800i | 0.734281 | − | 0.0771760i | 0.269995 | − | 0.962862i | \(-0.412978\pi\) |
0.464285 | + | 0.885686i | \(0.346311\pi\) | |||||||
\(740\) | −24.9412 | − | 22.4572i | −0.916858 | − | 0.825543i | ||||
\(741\) | 3.75554 | − | 32.3696i | 0.137963 | − | 1.18913i | ||||
\(742\) | −17.7898 | + | 3.79435i | −0.653083 | + | 0.139295i | ||||
\(743\) | 18.9719 | + | 13.7839i | 0.696012 | + | 0.505683i | 0.878631 | − | 0.477501i | \(-0.158457\pi\) |
−0.182619 | + | 0.983184i | \(0.558457\pi\) | |||||||
\(744\) | −8.02908 | + | 3.47152i | −0.294360 | + | 0.127272i | ||||
\(745\) | 3.56685 | − | 16.7807i | 0.130679 | − | 0.614798i | ||||
\(746\) | 6.73790 | − | 0.708182i | 0.246692 | − | 0.0259284i | ||||
\(747\) | 28.6563 | + | 21.7795i | 1.04848 | + | 0.796871i | ||||
\(748\) | 8.65485 | − | 2.60140i | 0.316453 | − | 0.0951165i | ||||
\(749\) | −8.37183 | + | 39.5224i | −0.305900 | + | 1.44412i | ||||
\(750\) | 4.87483 | + | 4.48545i | 0.178004 | + | 0.163785i | ||||
\(751\) | −27.4421 | + | 30.4775i | −1.00138 | + | 1.11214i | −0.00768699 | + | 0.999970i | \(0.502447\pi\) |
−0.993689 | + | 0.112170i | \(0.964220\pi\) | |||||||
\(752\) | −6.94657 | + | 6.25472i | −0.253315 | + | 0.228086i | ||||
\(753\) | 19.7839 | + | 27.8570i | 0.720964 | + | 1.01517i | ||||
\(754\) | −5.14061 | − | 0.540300i | −0.187210 | − | 0.0196766i | ||||
\(755\) | −8.86880 | + | 27.2954i | −0.322769 | + | 0.993380i | ||||
\(756\) | −12.9339 | − | 4.65994i | −0.470400 | − | 0.169480i | ||||
\(757\) | −15.5750 | + | 11.3159i | −0.566084 | + | 0.411284i | −0.833680 | − | 0.552247i | \(-0.813771\pi\) |
0.267597 | + | 0.963531i | \(0.413771\pi\) | |||||||
\(758\) | −15.7527 | − | 27.2844i | −0.572162 | − | 0.991014i | ||||
\(759\) | −2.09625 | + | 5.79443i | −0.0760892 | + | 0.210324i | ||||
\(760\) | 10.5222 | − | 18.2250i | 0.381680 | − | 0.661089i | ||||
\(761\) | −18.4371 | − | 8.20873i | −0.668345 | − | 0.297566i | 0.0443753 | − | 0.999015i | \(-0.485870\pi\) |
−0.712720 | + | 0.701449i | \(0.752537\pi\) | |||||||
\(762\) | 22.7689 | − | 12.8202i | 0.824829 | − | 0.464428i | ||||
\(763\) | −25.6652 | + | 0.0179664i | −0.929143 | + | 0.000650427i | ||||
\(764\) | 1.06269 | − | 1.46267i | 0.0384469 | − | 0.0529176i | ||||
\(765\) | −26.1310 | + | 7.87162i | −0.944769 | + | 0.284599i | ||||
\(766\) | −20.8333 | + | 18.7584i | −0.752737 | + | 0.677768i | ||||
\(767\) | −17.4078 | − | 3.70015i | −0.628560 | − | 0.133605i | ||||
\(768\) | 1.69022 | + | 0.378363i | 0.0609905 | + | 0.0136530i | ||||
\(769\) | 21.3254i | 0.769014i | 0.923122 | + | 0.384507i | \(0.125629\pi\) | ||||
−0.923122 | + | 0.384507i | \(0.874371\pi\) | |||||||
\(770\) | −22.1866 | + | 19.1303i | −0.799549 | + | 0.689407i | ||||
\(771\) | −1.53848 | − | 7.64234i | −0.0554072 | − | 0.275232i | ||||
\(772\) | 1.41399 | − | 3.17587i | 0.0508906 | − | 0.114302i | ||||
\(773\) | −5.79364 | + | 27.2569i | −0.208383 | + | 0.980363i | 0.742269 | + | 0.670102i | \(0.233750\pi\) |
−0.950651 | + | 0.310261i | \(0.899584\pi\) | |||||||
\(774\) | 1.27740 | − | 2.71021i | 0.0459151 | − | 0.0974166i | ||||
\(775\) | 3.24429 | − | 30.8673i | 0.116538 | − | 1.10879i | ||||
\(776\) | −2.77243 | − | 2.01429i | −0.0995246 | − | 0.0723088i | ||||
\(777\) | −34.5445 | + | 30.4789i | −1.23928 | + | 1.09343i | ||||
\(778\) | −4.17372 | + | 1.35612i | −0.149635 | + | 0.0486194i | ||||
\(779\) | 28.2244 | − | 63.3931i | 1.01125 | − | 2.27129i | ||||
\(780\) | −5.50994 | + | 16.3556i | −0.197287 | + | 0.585623i | ||||
\(781\) | 0.336306 | + | 4.06515i | 0.0120340 | + | 0.145462i | ||||
\(782\) | 2.53126 | − | 1.46142i | 0.0905177 | − | 0.0522604i | ||||
\(783\) | 3.05618 | − | 8.46397i | 0.109219 | − | 0.302478i | ||||
\(784\) | 5.66887 | + | 4.10656i | 0.202460 | + | 0.146663i | ||||
\(785\) | 53.4334 | + | 17.3616i | 1.90712 | + | 0.619661i | ||||
\(786\) | 0.466059 | + | 4.94687i | 0.0166238 | + | 0.176449i | ||||
\(787\) | 2.91945 | + | 6.55719i | 0.104067 | + | 0.233739i | 0.958073 | − | 0.286525i | \(-0.0925002\pi\) |
−0.854006 | + | 0.520264i | \(0.825834\pi\) | |||||||
\(788\) | −1.68934 | − | 1.87620i | −0.0601802 | − | 0.0668369i | ||||
\(789\) | −16.1421 | + | 27.2754i | −0.574675 | + | 0.971031i | ||||
\(790\) | 46.5015 | − | 33.7853i | 1.65445 | − | 1.20203i | ||||
\(791\) | −18.1254 | + | 20.1586i | −0.644463 | + | 0.716757i | ||||
\(792\) | 8.39103 | + | 5.34702i | 0.298162 | + | 0.189998i | ||||
\(793\) | −15.2684 | − | 26.4457i | −0.542198 | − | 0.939114i | ||||
\(794\) | −3.87666 | − | 36.8839i | −0.137577 | − | 1.30896i | ||||
\(795\) | −39.7529 | − | 0.428719i | −1.40989 | − | 0.0152051i | ||||
\(796\) | −14.1859 | + | 3.01531i | −0.502806 | + | 0.106875i | ||||
\(797\) | −2.00296 | + | 2.75684i | −0.0709485 | + | 0.0976523i | −0.843017 | − | 0.537888i | \(-0.819222\pi\) |
0.772068 | + | 0.635540i | \(0.219222\pi\) | |||||||
\(798\) | −23.1972 | − | 17.2138i | −0.821173 | − | 0.609363i | ||||
\(799\) | 24.2241 | + | 7.87089i | 0.856987 | + | 0.278452i | ||||
\(800\) | −4.11222 | + | 4.56708i | −0.145389 | + | 0.161471i | ||||
\(801\) | 35.7097 | − | 19.6026i | 1.26174 | − | 0.692622i | ||||
\(802\) | −24.4698 | − | 14.1276i | −0.864058 | − | 0.498864i | ||||
\(803\) | 2.51138 | − | 19.6842i | 0.0886247 | − | 0.694639i | ||||
\(804\) | −6.31932 | + | 1.27215i | −0.222865 | + | 0.0448651i | ||||
\(805\) | −5.56368 | + | 7.66904i | −0.196094 | + | 0.270298i | ||||
\(806\) | 14.3358 | − | 4.65799i | 0.504958 | − | 0.164071i | ||||
\(807\) | −21.8873 | − | 50.6219i | −0.770469 | − | 1.78197i | ||||
\(808\) | −8.16186 | + | 3.63389i | −0.287133 | + | 0.127840i | ||||
\(809\) | 29.5065 | − | 13.1372i | 1.03739 | − | 0.461878i | 0.183881 | − | 0.982948i | \(-0.441134\pi\) |
0.853514 | + | 0.521071i | \(0.174467\pi\) | |||||||
\(810\) | −25.3490 | − | 16.1314i | −0.890673 | − | 0.566800i | ||||
\(811\) | 38.3203 | − | 12.4510i | 1.34561 | − | 0.437214i | 0.454395 | − | 0.890800i | \(-0.349856\pi\) |
0.891212 | + | 0.453586i | \(0.149856\pi\) | |||||||
\(812\) | −2.69063 | + | 3.70879i | −0.0944225 | + | 0.130153i | ||||
\(813\) | −2.03187 | − | 10.0932i | −0.0712608 | − | 0.353984i | ||||
\(814\) | 29.2375 | − | 16.0264i | 1.02477 | − | 0.561727i | ||||
\(815\) | −17.8535 | − | 10.3077i | −0.625379 | − | 0.361063i | ||||
\(816\) | −1.40995 | − | 4.50407i | −0.0493580 | − | 0.157674i | ||||
\(817\) | 4.21250 | − | 4.67845i | 0.147377 | − | 0.163678i | ||||
\(818\) | −25.1727 | − | 8.17912i | −0.880144 | − | 0.285976i | ||||
\(819\) | 21.4362 | + | 10.0851i | 0.749041 | + | 0.352403i | ||||
\(820\) | −21.6022 | + | 29.7329i | −0.754382 | + | 1.03832i | ||||
\(821\) | −7.76292 | + | 1.65006i | −0.270928 | + | 0.0575875i | −0.341372 | − | 0.939928i | \(-0.610892\pi\) |
0.0704443 | + | 0.997516i | \(0.477558\pi\) | |||||||
\(822\) | −0.0886093 | + | 8.21629i | −0.00309060 | + | 0.286576i | ||||
\(823\) | −0.802045 | − | 7.63095i | −0.0279575 | − | 0.265998i | −0.999567 | − | 0.0294096i | \(-0.990637\pi\) |
0.971610 | − | 0.236589i | \(-0.0760294\pi\) | |||||||
\(824\) | 5.21043 | + | 9.02473i | 0.181514 | + | 0.314392i | ||||
\(825\) | −31.1392 | + | 16.6347i | −1.08413 | + | 0.579146i | ||||
\(826\) | −10.5479 | + | 11.7311i | −0.367009 | + | 0.408179i | ||||
\(827\) | 27.4136 | − | 19.9172i | 0.953265 | − | 0.692587i | 0.00168792 | − | 0.999999i | \(-0.499463\pi\) |
0.951577 | + | 0.307411i | \(0.0994627\pi\) | |||||||
\(828\) | 3.03832 | + | 1.06018i | 0.105589 | + | 0.0368439i | ||||
\(829\) | 7.58651 | + | 8.42567i | 0.263490 | + | 0.292636i | 0.860343 | − | 0.509715i | \(-0.170249\pi\) |
−0.596853 | + | 0.802351i | \(0.703582\pi\) | |||||||
\(830\) | −16.2918 | − | 36.5919i | −0.565495 | − | 1.27012i | ||||
\(831\) | −4.62157 | + | 0.435411i | −0.160320 | + | 0.0151042i | ||||
\(832\) | −2.83859 | − | 0.922314i | −0.0984104 | − | 0.0319755i | ||||
\(833\) | 1.96722 | − | 18.9723i | 0.0681601 | − | 0.657352i | ||||
\(834\) | 14.4558 | + | 13.3011i | 0.500563 | + | 0.460579i | ||||
\(835\) | −2.32328 | + | 1.34135i | −0.0804005 | + | 0.0464192i | ||||
\(836\) | 13.6412 | + | 15.8430i | 0.471790 | + | 0.547940i | ||||
\(837\) | 1.89743 | + | 26.1736i | 0.0655846 | + | 0.904692i | ||||
\(838\) | 13.7926 | − | 30.9786i | 0.476457 | − | 1.07014i | ||||
\(839\) | 33.7690 | − | 10.9722i | 1.16584 | − | 0.378803i | 0.338748 | − | 0.940877i | \(-0.389996\pi\) |
0.827087 | + | 0.562074i | \(0.189996\pi\) | |||||||
\(840\) | 10.1218 | + | 11.4720i | 0.349236 | + | 0.395821i | ||||
\(841\) | 21.0351 | + | 15.2829i | 0.725347 | + | 0.526996i | ||||
\(842\) | −1.66522 | + | 15.8435i | −0.0573874 | + | 0.546005i | ||||
\(843\) | 26.9990 | + | 20.0643i | 0.929896 | + | 0.691052i | ||||
\(844\) | −0.366635 | + | 1.72488i | −0.0126201 | + | 0.0593729i | ||||
\(845\) | −5.55615 | + | 12.4793i | −0.191138 | + | 0.429302i | ||||
\(846\) | 10.8508 | + | 25.8582i | 0.373058 | + | 0.889023i | ||||
\(847\) | −10.6657 | − | 27.0784i | −0.366479 | − | 0.930426i | ||||
\(848\) | − | 6.87515i | − | 0.236094i | ||||||
\(849\) | 6.04438 | − | 27.0014i | 0.207443 | − | 0.926686i | ||||
\(850\) | 16.3800 | + | 3.48168i | 0.561829 | + | 0.119421i | ||||
\(851\) | 8.01360 | − | 7.21548i | 0.274703 | − | 0.247343i | ||||
\(852\) | 2.12081 | − | 0.199808i | 0.0726579 | − | 0.00684531i | ||||
\(853\) | −17.7455 | + | 24.4246i | −0.607594 | + | 0.836281i | −0.996377 | − | 0.0850483i | \(-0.972896\pi\) |
0.388783 | + | 0.921329i | \(0.372896\pi\) | |||||||
\(854\) | −27.0693 | + | 0.0189493i | −0.926292 | + | 0.000648431i | ||||
\(855\) | −41.2227 | − | 47.8173i | −1.40979 | − | 1.63532i | ||||
\(856\) | −13.9494 | − | 6.21067i | −0.476781 | − | 0.212276i | ||||
\(857\) | −5.38178 | + | 9.32152i | −0.183838 | + | 0.318417i | −0.943184 | − | 0.332270i | \(-0.892186\pi\) |
0.759346 | + | 0.650687i | \(0.225519\pi\) | |||||||
\(858\) | −13.5314 | − | 10.5296i | −0.461955 | − | 0.359475i | ||||
\(859\) | 3.62893 | + | 6.28549i | 0.123818 | + | 0.214458i | 0.921270 | − | 0.388923i | \(-0.127153\pi\) |
−0.797453 | + | 0.603382i | \(0.793820\pi\) | |||||||
\(860\) | −2.69745 | + | 1.95981i | −0.0919823 | + | 0.0668291i | ||||
\(861\) | 37.1473 | + | 34.1321i | 1.26598 | + | 1.16322i | ||||
\(862\) | −1.59651 | + | 4.91355i | −0.0543773 | + | 0.167356i | ||||
\(863\) | −48.8626 | − | 5.13567i | −1.66330 | − | 0.174820i | −0.774331 | − | 0.632781i | \(-0.781913\pi\) |
−0.888972 | + | 0.457961i | \(0.848580\pi\) | |||||||
\(864\) | 2.74228 | − | 4.41361i | 0.0932942 | − | 0.150154i | ||||
\(865\) | −50.9728 | + | 45.8961i | −1.73313 | + | 1.56052i | ||||
\(866\) | −1.44219 | + | 1.60172i | −0.0490077 | + | 0.0544286i | ||||
\(867\) | 11.2295 | − | 12.2044i | 0.381375 | − | 0.414482i | ||||
\(868\) | 2.76895 | − | 13.0719i | 0.0939843 | − | 0.443688i | ||||
\(869\) | 16.4369 | + | 54.6855i | 0.557583 | + | 1.85508i | ||||
\(870\) | −7.51384 | + | 6.62018i | −0.254743 | + | 0.224445i | ||||
\(871\) | 11.0471 | − | 1.16109i | 0.374315 | − | 0.0393421i | ||||
\(872\) | 2.01686 | − | 9.48856i | 0.0682994 | − | 0.321323i | ||||
\(873\) | −8.44569 | + | 5.86209i | −0.285843 | + | 0.198402i | ||||
\(874\) | 5.47020 | + | 3.97434i | 0.185032 | + | 0.134434i | ||||
\(875\) | −9.89640 | + | 2.11079i | −0.334559 | + | 0.0713576i | ||||
\(876\) | −10.2940 | − | 1.19431i | −0.347802 | − | 0.0403521i | ||||
\(877\) | −13.5773 | − | 12.2251i | −0.458474 | − | 0.412812i | 0.407263 | − | 0.913311i | \(-0.366483\pi\) |
−0.865737 | + | 0.500499i | \(0.833150\pi\) | |||||||
\(878\) | −21.3274 | + | 2.24160i | −0.719764 | + | 0.0756502i | ||||
\(879\) | −6.03832 | + | 17.9240i | −0.203667 | + | 0.604561i | ||||
\(880\) | −5.32227 | − | 9.70954i | −0.179414 | − | 0.327309i | ||||
\(881\) | − | 40.1624i | − | 1.35311i | −0.736393 | − | 0.676554i | \(-0.763473\pi\) | ||
0.736393 | − | 0.676554i | \(-0.236527\pi\) | |||||||
\(882\) | 17.2348 | − | 11.9984i | 0.580327 | − | 0.404006i | ||||
\(883\) | −7.24539 | − | 22.2990i | −0.243827 | − | 0.750421i | −0.995827 | − | 0.0912589i | \(-0.970911\pi\) |
0.752001 | − | 0.659163i | \(-0.229089\pi\) | |||||||
\(884\) | 1.69091 | + | 7.95509i | 0.0568714 | + | 0.267559i | ||||
\(885\) | −28.1112 | + | 19.9644i | −0.944946 | + | 0.671094i | ||||
\(886\) | 5.03249 | + | 11.3032i | 0.169070 | + | 0.379737i | ||||
\(887\) | 18.1595 | − | 3.85992i | 0.609735 | − | 0.129603i | 0.107313 | − | 0.994225i | \(-0.465775\pi\) |
0.502423 | + | 0.864622i | \(0.332442\pi\) | |||||||
\(888\) | −8.54297 | − | 15.1724i | −0.286683 | − | 0.509153i | ||||
\(889\) | −4.14439 | + | 39.6986i | −0.138998 | + | 1.33145i | ||||
\(890\) | −45.3327 | −1.51956 | ||||||||
\(891\) | 23.4389 | − | 18.4829i | 0.785234 | − | 0.619200i | ||||
\(892\) | −6.68621 | + | 11.5809i | −0.223871 | + | 0.387756i | ||||
\(893\) | 6.15908 | + | 58.5997i | 0.206106 | + | 1.96097i | ||||
\(894\) | 4.53312 | − | 7.65963i | 0.151610 | − | 0.256176i | ||||
\(895\) | −6.85257 | + | 21.0900i | −0.229056 | + | 0.704962i | ||||
\(896\) | −1.96494 | + | 1.77173i | −0.0656439 | + | 0.0591893i | ||||
\(897\) | −5.04119 | − | 2.30994i | −0.168320 | − | 0.0771267i | ||||
\(898\) | 2.54247 | + | 11.9614i | 0.0848435 | + | 0.399157i | ||||
\(899\) | 8.55517 | + | 1.81846i | 0.285331 | + | 0.0606490i | ||||
\(900\) | 8.87192 | + | 16.1619i | 0.295731 | + | 0.538729i | ||||
\(901\) | −16.2240 | + | 9.36692i | −0.540499 | + | 0.312057i | ||||
\(902\) | −20.8003 | − | 30.0067i | −0.692574 | − | 0.999113i | ||||
\(903\) | 2.24827 | + | 3.98643i | 0.0748178 | + | 0.132660i | ||||
\(904\) | −6.02259 | − | 8.28938i | −0.200308 | − | 0.275701i | ||||
\(905\) | 30.2692 | + | 27.2545i | 1.00618 | + | 0.905972i | ||||
\(906\) | −8.88145 | + | 11.9511i | −0.295066 | + | 0.397048i | ||||
\(907\) | 33.2753 | − | 14.8151i | 1.10489 | − | 0.491928i | 0.228505 | − | 0.973543i | \(-0.426616\pi\) |
0.876383 | + | 0.481615i | \(0.159950\pi\) | |||||||
\(908\) | −0.660050 | + | 6.27996i | −0.0219045 | + | 0.208408i | ||||
\(909\) | 2.22612 | + | 26.7102i | 0.0738359 | + | 0.885922i | ||||
\(910\) | −15.5108 | − | 21.3174i | −0.514178 | − | 0.706664i | ||||
\(911\) | 27.6833 | + | 38.1027i | 0.917187 | + | 1.26240i | 0.964652 | + | 0.263527i | \(0.0848858\pi\) |
−0.0474648 | + | 0.998873i | \(0.515114\pi\) | |||||||
\(912\) | 8.19200 | − | 7.21768i | 0.271264 | − | 0.239001i | ||||
\(913\) | 39.6568 | − | 3.28077i | 1.31245 | − | 0.108578i | ||||
\(914\) | −13.9267 | − | 8.04057i | −0.460654 | − | 0.265959i | ||||
\(915\) | −57.7328 | − | 12.9237i | −1.90859 | − | 0.427246i | ||||
\(916\) | −3.02050 | − | 9.29614i | −0.0998001 | − | 0.307153i | ||||
\(917\) | −6.57573 | − | 3.79037i | −0.217150 | − | 0.125169i | ||||
\(918\) | −14.1514 | − | 0.457993i | −0.467066 | − | 0.0151160i | ||||
\(919\) | 40.5886 | + | 4.26604i | 1.33890 | + | 0.140724i | 0.746748 | − | 0.665107i | \(-0.231614\pi\) |
0.592147 | + | 0.805830i | \(0.298281\pi\) | |||||||
\(920\) | −2.39621 | − | 2.66126i | −0.0790006 | − | 0.0877391i | ||||
\(921\) | 0.232362 | − | 21.5457i | 0.00765658 | − | 0.709955i | ||||
\(922\) | −16.3094 | − | 7.26141i | −0.537122 | − | 0.239142i | ||||
\(923\) | −3.67077 | −0.120825 | ||||||||
\(924\) | −14.0769 | + | 5.73076i | −0.463095 | + | 0.188528i | ||||
\(925\) | 61.7814 | 2.03136 | ||||||||
\(926\) | −22.9482 | − | 10.2172i | −0.754126 | − | 0.335758i | ||||
\(927\) | 30.7125 | − | 5.83885i | 1.00873 | − | 0.191773i | ||||
\(928\) | −1.15882 | − | 1.28700i | −0.0380401 | − | 0.0422478i | ||||
\(929\) | 46.9803 | + | 4.93783i | 1.54137 | + | 0.162005i | 0.836754 | − | 0.547580i | \(-0.184451\pi\) |
0.704620 | + | 0.709585i | \(0.251117\pi\) | |||||||
\(930\) | 12.1651 | − | 26.5489i | 0.398909 | − | 0.870574i | ||||
\(931\) | 41.9460 | − | 13.6940i | 1.37473 | − | 0.448804i | ||||
\(932\) | 0.154672 | + | 0.476033i | 0.00506647 | + | 0.0155930i | ||||
\(933\) | −1.41075 | + | 6.30209i | −0.0461859 | + | 0.206321i | ||||
\(934\) | −9.32280 | − | 5.38252i | −0.305051 | − | 0.176121i | ||||
\(935\) | −15.6614 | + | 25.7881i | −0.512181 | + | 0.843360i | ||||
\(936\) | −5.41804 | + | 7.12875i | −0.177094 | + | 0.233011i | ||||
\(937\) | −15.0324 | − | 20.6903i | −0.491086 | − | 0.675921i | 0.489502 | − | 0.872002i | \(-0.337179\pi\) |
−0.980588 | + | 0.196081i | \(0.937179\pi\) | |||||||
\(938\) | 3.99867 | − | 8.99810i | 0.130561 | − | 0.293798i | ||||
\(939\) | −1.99796 | + | 17.2208i | −0.0652011 | + | 0.561980i | ||||
\(940\) | 3.26199 | − | 31.0358i | 0.106395 | − | 1.01228i | ||||
\(941\) | −50.4612 | + | 22.4668i | −1.64499 | + | 0.732395i | −0.999507 | − | 0.0313823i | \(-0.990009\pi\) |
−0.645479 | + | 0.763778i | \(0.723342\pi\) | |||||||
\(942\) | 23.3954 | + | 17.3863i | 0.762265 | + | 0.566477i | ||||
\(943\) | −8.77531 | − | 7.90132i | −0.285763 | − | 0.257303i | ||||
\(944\) | −3.50480 | − | 4.82394i | −0.114071 | − | 0.157006i | ||||
\(945\) | 42.4986 | − | 17.3316i | 1.38248 | − | 0.563798i | ||||
\(946\) | −0.953468 | − | 3.17219i | −0.0309999 | − | 0.103137i | ||||
\(947\) | 43.5771 | − | 25.1592i | 1.41606 | − | 0.817565i | 0.420115 | − | 0.907471i | \(-0.361990\pi\) |
0.995950 | + | 0.0899056i | \(0.0286566\pi\) | |||||||
\(948\) | 28.4589 | − | 8.90872i | 0.924302 | − | 0.289342i | ||||
\(949\) | 17.4674 | + | 3.71280i | 0.567014 | + | 0.120523i | ||||
\(950\) | 8.05431 | + | 37.8926i | 0.261316 | + | 1.22940i | ||||
\(951\) | 15.7514 | − | 34.3758i | 0.510776 | − | 1.11471i | ||||
\(952\) | 6.85802 | + | 2.22300i | 0.222270 | + | 0.0720478i | ||||
\(953\) | 2.88825 | − | 8.88913i | 0.0935597 | − | 0.287947i | −0.893316 | − | 0.449429i | \(-0.851627\pi\) |
0.986876 | + | 0.161482i | \(0.0516274\pi\) | |||||||
\(954\) | −19.4739 | − | 6.79518i | −0.630492 | − | 0.220002i | ||||
\(955\) | 0.630922 | + | 6.00282i | 0.0204162 | + | 0.194247i | ||||
\(956\) | −0.326394 | + | 0.565330i | −0.0105563 | + | 0.0182841i | ||||
\(957\) | −3.74473 | − | 9.21691i | −0.121050 | − | 0.297940i | ||||
\(958\) | −22.8533 | −0.738355 | ||||||||
\(959\) | −10.1594 | − | 7.37037i | −0.328064 | − | 0.238002i | ||||
\(960\) | −5.03864 | + | 2.83706i | −0.162622 | + | 0.0915656i | ||||
\(961\) | 5.37408 | − | 1.14230i | 0.173357 | − | 0.0368483i | ||||
\(962\) | 12.2040 | + | 27.4106i | 0.393473 | + | 0.883754i | ||||
\(963\) | −31.3790 | + | 33.3734i | −1.01117 | + | 1.07544i | ||||
\(964\) | 0.943965 | + | 4.44101i | 0.0304031 | + | 0.143035i | ||||
\(965\) | 3.58647 | + | 11.0380i | 0.115452 | + | 0.355326i | ||||
\(966\) | −4.00569 | + | 2.84903i | −0.128881 | + | 0.0916661i | ||||
\(967\) | − | 10.5980i | − | 0.340810i | −0.985374 | − | 0.170405i | \(-0.945492\pi\) | ||
0.985374 | − | 0.170405i | \(-0.0545076\pi\) | |||||||
\(968\) | 10.8505 | − | 1.80767i | 0.348747 | − | 0.0581007i | ||||
\(969\) | −28.1933 | − | 9.49790i | −0.905700 | − | 0.305117i | ||||
\(970\) | 11.3781 | − | 1.19589i | 0.365329 | − | 0.0383976i | ||||
\(971\) | −15.9890 | − | 14.3965i | −0.513110 | − | 0.462006i | 0.371437 | − | 0.928458i | \(-0.378865\pi\) |
−0.884546 | + | 0.466452i | \(0.845532\pi\) | |||||||
\(972\) | −9.79121 | − | 12.1298i | −0.314053 | − | 0.389064i | ||||
\(973\) | −29.3467 | + | 6.25931i | −0.940812 | + | 0.200664i | ||||
\(974\) | −10.7475 | − | 7.80853i | −0.344373 | − | 0.250201i | ||||
\(975\) | −12.6084 | − | 29.1613i | −0.403793 | − | 0.933909i | ||||
\(976\) | 2.12719 | − | 10.0077i | 0.0680898 | − | 0.320337i | ||||
\(977\) | 34.4648 | − | 3.62240i | 1.10263 | − | 0.115891i | 0.464317 | − | 0.885669i | \(-0.346300\pi\) |
0.638311 | + | 0.769778i | \(0.279633\pi\) | |||||||
\(978\) | −7.07054 | − | 8.02500i | −0.226091 | − | 0.256611i | ||||
\(979\) | 14.8632 | − | 42.5123i | 0.475031 | − | 1.35870i | ||||
\(980\) | −23.2381 | + | 2.47532i | −0.742313 | + | 0.0790711i | ||||
\(981\) | −24.8831 | − | 15.0910i | −0.794455 | − | 0.481818i | ||||
\(982\) | −16.2431 | + | 18.0398i | −0.518340 | + | 0.575674i | ||||
\(983\) | −40.5060 | + | 36.4717i | −1.29194 | + | 1.16327i | −0.315156 | + | 0.949040i | \(0.602057\pi\) |
−0.976784 | + | 0.214228i | \(0.931276\pi\) | |||||||
\(984\) | −15.5457 | + | 11.0404i | −0.495579 | + | 0.351957i | ||||
\(985\) | 8.38247 | + | 0.881034i | 0.267088 | + | 0.0280721i | ||||
\(986\) | −1.45825 | + | 4.48803i | −0.0464401 | + | 0.142928i | ||||
\(987\) | −41.8078 | − | 9.32812i | −1.33076 | − | 0.296917i | ||||
\(988\) | −15.2208 | + | 11.0586i | −0.484239 | + | 0.351820i | ||||
\(989\) | −0.535643 | − | 0.927761i | −0.0170325 | − | 0.0295011i | ||||
\(990\) | −32.7628 | + | 5.47878i | −1.04127 | + | 0.174127i | ||||
\(991\) | −25.1880 | + | 43.6270i | −0.800124 | + | 1.38586i | 0.119410 | + | 0.992845i | \(0.461900\pi\) |
−0.919534 | + | 0.393011i | \(0.871434\pi\) | |||||||
\(992\) | 4.61371 | + | 2.05416i | 0.146485 | + | 0.0652195i | ||||
\(993\) | 20.0242 | + | 35.5632i | 0.635449 | + | 1.12856i | ||||
\(994\) | −1.62500 | + | 2.81914i | −0.0515418 | + | 0.0894176i | ||||
\(995\) | 28.4592 | − | 39.1708i | 0.902219 | − | 1.24180i | ||||
\(996\) | −1.94919 | − | 20.6892i | −0.0617625 | − | 0.655563i | ||||
\(997\) | −23.4445 | + | 21.1096i | −0.742496 | + | 0.668546i | −0.950901 | − | 0.309496i | \(-0.899840\pi\) |
0.208405 | + | 0.978043i | \(0.433173\pi\) | |||||||
\(998\) | 38.1694 | + | 8.11316i | 1.20823 | + | 0.256817i | ||||
\(999\) | −51.4196 | + | 9.20214i | −1.62685 | + | 0.291143i |
(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 | 462.2.bc.b.305.1 | yes | 128 | |
3.2 | odd | 2 | 462.2.bc.a.305.3 | yes | 128 | ||
7.2 | even | 3 | inner | 462.2.bc.b.107.12 | yes | 128 | |
11.7 | odd | 10 | 462.2.bc.a.95.14 | ✓ | 128 | ||
21.2 | odd | 6 | 462.2.bc.a.107.14 | yes | 128 | ||
33.29 | even | 10 | inner | 462.2.bc.b.95.12 | yes | 128 | |
77.51 | odd | 30 | 462.2.bc.a.359.3 | yes | 128 | ||
231.128 | even | 30 | inner | 462.2.bc.b.359.1 | yes | 128 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
462.2.bc.a.95.14 | ✓ | 128 | 11.7 | odd | 10 | ||
462.2.bc.a.107.14 | yes | 128 | 21.2 | odd | 6 | ||
462.2.bc.a.305.3 | yes | 128 | 3.2 | odd | 2 | ||
462.2.bc.a.359.3 | yes | 128 | 77.51 | odd | 30 | ||
462.2.bc.b.95.12 | yes | 128 | 33.29 | even | 10 | inner | |
462.2.bc.b.107.12 | yes | 128 | 7.2 | even | 3 | inner | |
462.2.bc.b.305.1 | yes | 128 | 1.1 | even | 1 | trivial | |
462.2.bc.b.359.1 | yes | 128 | 231.128 | even | 30 | inner |