Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [570,2,Mod(17,570)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(570, base_ring=CyclotomicField(36))
chi = DirichletCharacter(H, H._module([18, 9, 20]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("570.17");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 570.bi (of order \(36\), degree \(12\), 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: | \(4.55147291521\) |
Analytic rank: | \(0\) |
Dimension: | \(480\) |
Relative dimension: | \(40\) over \(\Q(\zeta_{36})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{36}]$ |
Embedding invariants
Embedding label | 23.18 | ||
Character | \(\chi\) | \(=\) | 570.23 |
Dual form | 570.2.bi.a.347.18 |
$q$-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 \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).
\(n\) | \(191\) | \(211\) | \(457\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{9}\right)\) | \(e\left(\frac{3}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.422618 | − | 0.906308i | −0.298836 | − | 0.640856i | ||||
\(3\) | 1.61922 | + | 0.614925i | 0.934856 | + | 0.355027i | ||||
\(4\) | −0.642788 | + | 0.766044i | −0.321394 | + | 0.383022i | ||||
\(5\) | 1.05411 | + | 1.97202i | 0.471412 | + | 0.881913i | ||||
\(6\) | −0.126999 | − | 1.72739i | −0.0518472 | − | 0.705203i | ||||
\(7\) | −0.0450943 | − | 0.168294i | −0.0170441 | − | 0.0636093i | 0.956880 | − | 0.290483i | \(-0.0938161\pi\) |
−0.973924 | + | 0.226874i | \(0.927149\pi\) | |||||||
\(8\) | 0.965926 | + | 0.258819i | 0.341506 | + | 0.0915064i | ||||
\(9\) | 2.24373 | + | 1.99140i | 0.747911 | + | 0.663799i | ||||
\(10\) | 1.34177 | − | 1.78876i | 0.424305 | − | 0.565655i | ||||
\(11\) | 1.02542 | − | 0.592026i | 0.309176 | − | 0.178503i | −0.337382 | − | 0.941368i | \(-0.609541\pi\) |
0.646557 | + | 0.762865i | \(0.276208\pi\) | |||||||
\(12\) | −1.51187 | + | 0.845126i | −0.436440 | + | 0.243967i | ||||
\(13\) | −0.862888 | + | 0.604200i | −0.239322 | + | 0.167575i | −0.687085 | − | 0.726577i | \(-0.741110\pi\) |
0.447763 | + | 0.894152i | \(0.352221\pi\) | |||||||
\(14\) | −0.133469 | + | 0.111994i | −0.0356710 | + | 0.0299316i | ||||
\(15\) | 0.494189 | + | 3.84132i | 0.127599 | + | 0.991826i | ||||
\(16\) | −0.173648 | − | 0.984808i | −0.0434120 | − | 0.246202i | ||||
\(17\) | −0.00890995 | − | 0.0191074i | −0.00216098 | − | 0.00463424i | 0.905224 | − | 0.424934i | \(-0.139703\pi\) |
−0.907385 | + | 0.420300i | \(0.861925\pi\) | |||||||
\(18\) | 0.856576 | − | 2.87511i | 0.201897 | − | 0.677671i | ||||
\(19\) | −3.61463 | + | 2.43607i | −0.829253 | + | 0.558873i | ||||
\(20\) | −2.18822 | − | 0.460094i | −0.489301 | − | 0.102880i | ||||
\(21\) | 0.0304709 | − | 0.300235i | 0.00664930 | − | 0.0655166i | ||||
\(22\) | −0.969919 | − | 0.679144i | −0.206787 | − | 0.144794i | ||||
\(23\) | 5.33961 | − | 0.467155i | 1.11339 | − | 0.0974086i | 0.484416 | − | 0.874838i | \(-0.339032\pi\) |
0.628970 | + | 0.777429i | \(0.283477\pi\) | |||||||
\(24\) | 1.40489 | + | 1.01306i | 0.286772 | + | 0.206789i | ||||
\(25\) | −2.77771 | + | 4.15745i | −0.555541 | + | 0.831489i | ||||
\(26\) | 0.912264 | + | 0.526696i | 0.178910 | + | 0.103294i | ||||
\(27\) | 2.40853 | + | 4.60423i | 0.463522 | + | 0.886085i | ||||
\(28\) | 0.157907 | + | 0.0736333i | 0.0298416 | + | 0.0139154i | ||||
\(29\) | 6.37018 | − | 2.31856i | 1.18291 | − | 0.430545i | 0.325683 | − | 0.945479i | \(-0.394406\pi\) |
0.857230 | + | 0.514934i | \(0.172184\pi\) | |||||||
\(30\) | 3.27257 | − | 2.07130i | 0.597487 | − | 0.378166i | ||||
\(31\) | −2.85262 | + | 4.94088i | −0.512346 | + | 0.887409i | 0.487552 | + | 0.873094i | \(0.337890\pi\) |
−0.999898 | + | 0.0143149i | \(0.995443\pi\) | |||||||
\(32\) | −0.819152 | + | 0.573576i | −0.144807 | + | 0.101395i | ||||
\(33\) | 2.02443 | − | 0.328063i | 0.352408 | − | 0.0571084i | ||||
\(34\) | −0.0135517 | + | 0.0161503i | −0.00232410 | + | 0.00276975i | ||||
\(35\) | 0.284345 | − | 0.266328i | 0.0480631 | − | 0.0450176i | ||||
\(36\) | −2.96774 | + | 0.438754i | −0.494624 | + | 0.0731257i | ||||
\(37\) | 2.29125 | − | 2.29125i | 0.376679 | − | 0.376679i | −0.493223 | − | 0.869903i | \(-0.664181\pi\) |
0.869903 | + | 0.493223i | \(0.164181\pi\) | |||||||
\(38\) | 3.73544 | + | 2.24644i | 0.605968 | + | 0.364421i | ||||
\(39\) | −1.76874 | + | 0.447721i | −0.283225 | + | 0.0716927i | ||||
\(40\) | 0.507796 | + | 2.17765i | 0.0802896 | + | 0.344316i | ||||
\(41\) | 1.39028 | − | 0.245143i | 0.217125 | − | 0.0382850i | −0.0640275 | − | 0.997948i | \(-0.520395\pi\) |
0.281152 | + | 0.959663i | \(0.409283\pi\) | |||||||
\(42\) | −0.284983 | + | 0.0992687i | −0.0439738 | + | 0.0153175i | ||||
\(43\) | −8.71430 | − | 0.762403i | −1.32892 | − | 0.116265i | −0.599523 | − | 0.800358i | \(-0.704643\pi\) |
−0.729395 | + | 0.684092i | \(0.760199\pi\) | |||||||
\(44\) | −0.205609 | + | 1.16606i | −0.0309966 | + | 0.175791i | ||||
\(45\) | −1.56193 | + | 6.52383i | −0.232839 | + | 0.972515i | ||||
\(46\) | −2.68000 | − | 4.64190i | −0.395145 | − | 0.684411i | ||||
\(47\) | −3.72060 | − | 1.73495i | −0.542706 | − | 0.253068i | 0.131878 | − | 0.991266i | \(-0.457899\pi\) |
−0.674584 | + | 0.738198i | \(0.735677\pi\) | |||||||
\(48\) | 0.324409 | − | 1.70140i | 0.0468244 | − | 0.245576i | ||||
\(49\) | 6.03589 | − | 3.48482i | 0.862270 | − | 0.497832i | ||||
\(50\) | 4.94183 | + | 0.760444i | 0.698881 | + | 0.107543i | ||||
\(51\) | −0.00267749 | − | 0.0364181i | −0.000374924 | − | 0.00509955i | ||||
\(52\) | 0.0918091 | − | 1.04938i | 0.0127316 | − | 0.145523i | ||||
\(53\) | −0.422288 | + | 0.0369454i | −0.0580057 | + | 0.00507484i | −0.116122 | − | 0.993235i | \(-0.537046\pi\) |
0.0581159 | + | 0.998310i | \(0.481491\pi\) | |||||||
\(54\) | 3.15496 | − | 4.12871i | 0.429336 | − | 0.561846i | ||||
\(55\) | 2.24839 | + | 1.39808i | 0.303173 | + | 0.188518i | ||||
\(56\) | − | 0.174231i | − | 0.0232826i | ||||||
\(57\) | −7.35088 | + | 1.72180i | −0.973648 | + | 0.228058i | ||||
\(58\) | −4.79348 | − | 4.79348i | −0.629415 | − | 0.629415i | ||||
\(59\) | 6.34170 | + | 2.30819i | 0.825619 | + | 0.300501i | 0.720060 | − | 0.693912i | \(-0.244114\pi\) |
0.105559 | + | 0.994413i | \(0.466337\pi\) | |||||||
\(60\) | −3.26028 | − | 2.09058i | −0.420901 | − | 0.269893i | ||||
\(61\) | −3.04574 | − | 2.55568i | −0.389968 | − | 0.327222i | 0.426633 | − | 0.904425i | \(-0.359700\pi\) |
−0.816601 | + | 0.577203i | \(0.804144\pi\) | |||||||
\(62\) | 5.68353 | + | 0.497245i | 0.721809 | + | 0.0631501i | ||||
\(63\) | 0.233961 | − | 0.467408i | 0.0294763 | − | 0.0588879i | ||||
\(64\) | 0.866025 | + | 0.500000i | 0.108253 | + | 0.0625000i | ||||
\(65\) | −2.10107 | − | 1.06474i | −0.260606 | − | 0.132064i | ||||
\(66\) | −1.15289 | − | 1.69611i | −0.141911 | − | 0.208777i | ||||
\(67\) | 6.76170 | − | 14.5005i | 0.826074 | − | 1.77152i | 0.221145 | − | 0.975241i | \(-0.429021\pi\) |
0.604929 | − | 0.796279i | \(-0.293202\pi\) | |||||||
\(68\) | 0.0203644 | + | 0.00545661i | 0.00246954 | + | 0.000661711i | ||||
\(69\) | 8.93326 | + | 2.52704i | 1.07544 | + | 0.304219i | ||||
\(70\) | −0.361544 | − | 0.145149i | −0.0432128 | − | 0.0173487i | ||||
\(71\) | −3.95549 | − | 4.71397i | −0.469430 | − | 0.559445i | 0.478432 | − | 0.878124i | \(-0.341205\pi\) |
−0.947863 | + | 0.318679i | \(0.896761\pi\) | |||||||
\(72\) | 1.65187 | + | 2.50426i | 0.194675 | + | 0.295130i | ||||
\(73\) | 3.74724 | − | 5.35161i | 0.438581 | − | 0.626358i | −0.537630 | − | 0.843181i | \(-0.680680\pi\) |
0.976211 | + | 0.216822i | \(0.0695693\pi\) | |||||||
\(74\) | −3.04490 | − | 1.10825i | −0.353963 | − | 0.128832i | ||||
\(75\) | −7.05423 | + | 5.02373i | −0.814552 | + | 0.580090i | ||||
\(76\) | 0.457302 | − | 4.33484i | 0.0524561 | − | 0.497241i | ||||
\(77\) | −0.145875 | − | 0.145875i | −0.0166240 | − | 0.0166240i | ||||
\(78\) | 1.15328 | + | 1.41381i | 0.130583 | + | 0.160082i | ||||
\(79\) | −10.5286 | + | 1.85648i | −1.18456 | + | 0.208870i | −0.731015 | − | 0.682362i | \(-0.760953\pi\) |
−0.453548 | + | 0.891232i | \(0.649842\pi\) | |||||||
\(80\) | 1.75901 | − | 1.38053i | 0.196664 | − | 0.154348i | ||||
\(81\) | 1.06868 | + | 8.93633i | 0.118742 | + | 0.992925i | ||||
\(82\) | −0.809732 | − | 1.15642i | −0.0894199 | − | 0.127705i | ||||
\(83\) | −1.55242 | − | 5.79372i | −0.170400 | − | 0.635943i | −0.997289 | − | 0.0735780i | \(-0.976558\pi\) |
0.826889 | − | 0.562365i | \(-0.190108\pi\) | |||||||
\(84\) | 0.210407 | + | 0.216329i | 0.0229573 | + | 0.0236035i | ||||
\(85\) | 0.0282881 | − | 0.0377119i | 0.00306828 | − | 0.00409043i | ||||
\(86\) | 2.99185 | + | 8.22004i | 0.322620 | + | 0.886390i | ||||
\(87\) | 11.7405 | + | 0.162939i | 1.25871 | + | 0.0174689i | ||||
\(88\) | 1.14371 | − | 0.306455i | 0.121920 | − | 0.0326682i | ||||
\(89\) | 0.687430 | − | 3.89861i | 0.0728674 | − | 0.413252i | −0.926454 | − | 0.376409i | \(-0.877159\pi\) |
0.999321 | − | 0.0368429i | \(-0.0117301\pi\) | |||||||
\(90\) | 6.57270 | − | 1.34150i | 0.692823 | − | 0.141407i | ||||
\(91\) | 0.140595 | + | 0.117973i | 0.0147383 | + | 0.0123669i | ||||
\(92\) | −3.07437 | + | 4.39066i | −0.320526 | + | 0.457758i | ||||
\(93\) | −7.65729 | + | 6.24622i | −0.794024 | + | 0.647703i | ||||
\(94\) | 4.10523i | 0.423422i | ||||||||
\(95\) | −8.61419 | − | 4.56023i | −0.883797 | − | 0.467870i | ||||
\(96\) | −1.67909 | + | 0.425028i | −0.171372 | + | 0.0433792i | ||||
\(97\) | 10.7077 | − | 4.99306i | 1.08720 | − | 0.506969i | 0.205440 | − | 0.978670i | \(-0.434138\pi\) |
0.881759 | + | 0.471701i | \(0.156360\pi\) | |||||||
\(98\) | −5.70920 | − | 3.99762i | −0.576716 | − | 0.403821i | ||||
\(99\) | 3.47973 | + | 0.713668i | 0.349726 | + | 0.0717263i | ||||
\(100\) | −1.39931 | − | 4.80020i | −0.139931 | − | 0.480020i | ||||
\(101\) | −12.6283 | − | 2.22671i | −1.25656 | − | 0.221566i | −0.494562 | − | 0.869142i | \(-0.664672\pi\) |
−0.762001 | + | 0.647576i | \(0.775783\pi\) | |||||||
\(102\) | −0.0318744 | + | 0.0178176i | −0.00315604 | + | 0.00176420i | ||||
\(103\) | −0.216284 | + | 0.807183i | −0.0213111 | + | 0.0795341i | −0.975762 | − | 0.218833i | \(-0.929775\pi\) |
0.954451 | + | 0.298367i | \(0.0964418\pi\) | |||||||
\(104\) | −0.989864 | + | 0.360281i | −0.0970642 | + | 0.0353285i | ||||
\(105\) | 0.624188 | − | 0.256391i | 0.0609145 | − | 0.0250212i | ||||
\(106\) | 0.211951 | + | 0.367109i | 0.0205865 | + | 0.0356568i | ||||
\(107\) | 15.1590 | − | 4.06183i | 1.46547 | − | 0.392672i | 0.564096 | − | 0.825709i | \(-0.309225\pi\) |
0.901376 | + | 0.433037i | \(0.142558\pi\) | |||||||
\(108\) | −5.07522 | − | 1.11450i | −0.488364 | − | 0.107243i | ||||
\(109\) | −1.92348 | − | 2.29231i | −0.184236 | − | 0.219564i | 0.666019 | − | 0.745935i | \(-0.267997\pi\) |
−0.850255 | + | 0.526371i | \(0.823552\pi\) | |||||||
\(110\) | 0.316884 | − | 2.62859i | 0.0302137 | − | 0.250626i | ||||
\(111\) | 5.11898 | − | 2.30109i | 0.485872 | − | 0.218409i | ||||
\(112\) | −0.157907 | + | 0.0736333i | −0.0149208 | + | 0.00695769i | ||||
\(113\) | −2.46000 | + | 2.46000i | −0.231418 | + | 0.231418i | −0.813284 | − | 0.581867i | \(-0.802323\pi\) |
0.581867 | + | 0.813284i | \(0.302323\pi\) | |||||||
\(114\) | 4.66710 | + | 5.93449i | 0.437114 | + | 0.555816i | ||||
\(115\) | 6.54977 | + | 10.0374i | 0.610770 | + | 0.935990i | ||||
\(116\) | −2.31856 | + | 6.37018i | −0.215273 | + | 0.591457i | ||||
\(117\) | −3.13929 | − | 0.362687i | −0.290228 | − | 0.0335304i | ||||
\(118\) | −0.588188 | − | 6.72301i | −0.0541470 | − | 0.618904i | ||||
\(119\) | −0.00281389 | + | 0.00236113i | −0.000257949 | + | 0.000216445i | ||||
\(120\) | −0.516858 | + | 3.83834i | −0.0471824 | + | 0.350391i | ||||
\(121\) | −4.79901 | + | 8.31213i | −0.436274 | + | 0.755648i | ||||
\(122\) | −1.02905 | + | 3.84046i | −0.0931657 | + | 0.347699i | ||||
\(123\) | 2.40191 | + | 0.457976i | 0.216573 | + | 0.0412943i | ||||
\(124\) | −1.95131 | − | 5.36117i | −0.175233 | − | 0.481448i | ||||
\(125\) | −11.1266 | − | 1.09528i | −0.995190 | − | 0.0979649i | ||||
\(126\) | −0.522492 | − | 0.0145055i | −0.0465473 | − | 0.00129225i | ||||
\(127\) | −9.95976 | − | 14.2240i | −0.883786 | − | 1.26218i | −0.964136 | − | 0.265410i | \(-0.914493\pi\) |
0.0803499 | − | 0.996767i | \(-0.474396\pi\) | |||||||
\(128\) | 0.0871557 | − | 0.996195i | 0.00770355 | − | 0.0880520i | ||||
\(129\) | −13.6415 | − | 6.59314i | −1.20107 | − | 0.580494i | ||||
\(130\) | −0.0770271 | + | 2.35419i | −0.00675573 | + | 0.206477i | ||||
\(131\) | −3.62538 | + | 9.96065i | −0.316751 | + | 0.870266i | 0.674500 | + | 0.738275i | \(0.264359\pi\) |
−0.991251 | + | 0.131991i | \(0.957863\pi\) | |||||||
\(132\) | −1.04997 | + | 1.76168i | −0.0913879 | + | 0.153334i | ||||
\(133\) | 0.572976 | + | 0.498469i | 0.0496834 | + | 0.0432228i | ||||
\(134\) | −15.9996 | −1.38215 | ||||||||
\(135\) | −6.54077 | + | 9.60304i | −0.562940 | + | 0.826498i | ||||
\(136\) | −0.00366098 | − | 0.0207624i | −0.000313926 | − | 0.00178036i | ||||
\(137\) | −0.254507 | − | 2.90903i | −0.0217440 | − | 0.248535i | −0.999286 | − | 0.0377927i | \(-0.987967\pi\) |
0.977542 | − | 0.210743i | \(-0.0675882\pi\) | |||||||
\(138\) | −1.48509 | − | 9.16425i | −0.126419 | − | 0.780113i | ||||
\(139\) | −13.8604 | − | 2.44397i | −1.17563 | − | 0.207295i | −0.448490 | − | 0.893788i | \(-0.648038\pi\) |
−0.727136 | + | 0.686494i | \(0.759149\pi\) | |||||||
\(140\) | 0.0212453 | + | 0.389013i | 0.00179555 | + | 0.0328776i | ||||
\(141\) | −4.95760 | − | 5.09715i | −0.417506 | − | 0.429257i | ||||
\(142\) | −2.60065 | + | 5.57710i | −0.218241 | + | 0.468020i | ||||
\(143\) | −0.527119 | + | 1.13041i | −0.0440799 | + | 0.0945297i | ||||
\(144\) | 1.57152 | − | 2.55545i | 0.130960 | − | 0.212954i | ||||
\(145\) | 11.2871 | + | 10.1181i | 0.937343 | + | 0.840262i | ||||
\(146\) | −6.43385 | − | 1.13446i | −0.532470 | − | 0.0938888i | ||||
\(147\) | 11.9163 | − | 1.93106i | 0.982842 | − | 0.159271i | ||||
\(148\) | 0.282412 | + | 3.22799i | 0.0232142 | + | 0.265339i | ||||
\(149\) | 2.63897 | + | 14.9664i | 0.216193 | + | 1.22609i | 0.878824 | + | 0.477146i | \(0.158329\pi\) |
−0.662631 | + | 0.748946i | \(0.730560\pi\) | |||||||
\(150\) | 7.53429 | + | 4.27018i | 0.615172 | + | 0.348659i | ||||
\(151\) | −17.3716 | −1.41368 | −0.706842 | − | 0.707372i | \(-0.749881\pi\) | ||||
−0.706842 | + | 0.707372i | \(0.749881\pi\) | |||||||
\(152\) | −4.12197 | + | 1.41753i | −0.334336 | + | 0.114977i | ||||
\(153\) | 0.0180590 | − | 0.0606152i | 0.00145998 | − | 0.00490045i | ||||
\(154\) | −0.0705583 | + | 0.193857i | −0.00568575 | + | 0.0156215i | ||||
\(155\) | −12.7505 | − | 0.417184i | −1.02414 | − | 0.0335091i | ||||
\(156\) | 0.793951 | − | 1.64272i | 0.0635670 | − | 0.131523i | ||||
\(157\) | −0.602158 | + | 6.88269i | −0.0480574 | + | 0.549299i | 0.933558 | + | 0.358427i | \(0.116687\pi\) |
−0.981615 | + | 0.190871i | \(0.938869\pi\) | |||||||
\(158\) | 6.13213 | + | 8.75759i | 0.487846 | + | 0.696717i | ||||
\(159\) | −0.706495 | − | 0.199853i | −0.0560287 | − | 0.0158494i | ||||
\(160\) | −1.99458 | − | 1.01077i | −0.157685 | − | 0.0799084i | ||||
\(161\) | −0.319406 | − | 0.877560i | −0.0251727 | − | 0.0691614i | ||||
\(162\) | 7.64742 | − | 4.74521i | 0.600838 | − | 0.372819i | ||||
\(163\) | 3.52150 | − | 13.1424i | 0.275825 | − | 1.02939i | −0.679462 | − | 0.733711i | \(-0.737787\pi\) |
0.955287 | − | 0.295682i | \(-0.0955467\pi\) | |||||||
\(164\) | −0.705862 | + | 1.22259i | −0.0551186 | + | 0.0954682i | ||||
\(165\) | 2.78092 | + | 3.64640i | 0.216494 | + | 0.283872i | ||||
\(166\) | −4.59481 | + | 3.85550i | −0.356626 | + | 0.299245i | ||||
\(167\) | −1.60190 | − | 18.3098i | −0.123959 | − | 1.41685i | −0.762362 | − | 0.647151i | \(-0.775960\pi\) |
0.638403 | − | 0.769702i | \(-0.279595\pi\) | |||||||
\(168\) | 0.107139 | − | 0.282118i | 0.00826597 | − | 0.0217659i | ||||
\(169\) | −4.06674 | + | 11.1733i | −0.312827 | + | 0.859484i | ||||
\(170\) | −0.0461337 | − | 0.00970003i | −0.00353829 | − | 0.000743958i | ||||
\(171\) | −12.9615 | − | 1.73227i | −0.991187 | − | 0.132470i | ||||
\(172\) | 6.18548 | − | 6.18548i | 0.471638 | − | 0.471638i | ||||
\(173\) | −2.95433 | + | 1.37763i | −0.224614 | + | 0.104739i | −0.531668 | − | 0.846953i | \(-0.678434\pi\) |
0.307054 | + | 0.951692i | \(0.400657\pi\) | |||||||
\(174\) | −4.81406 | − | 10.7093i | −0.364953 | − | 0.811872i | ||||
\(175\) | 0.824933 | + | 0.279995i | 0.0623591 | + | 0.0211656i | ||||
\(176\) | −0.761094 | − | 0.907037i | −0.0573696 | − | 0.0683705i | ||||
\(177\) | 8.84923 | + | 7.63713i | 0.665149 | + | 0.574042i | ||||
\(178\) | −3.82386 | + | 1.02460i | −0.286610 | + | 0.0767970i | ||||
\(179\) | 5.22165 | + | 9.04417i | 0.390285 | + | 0.675993i | 0.992487 | − | 0.122351i | \(-0.0390433\pi\) |
−0.602202 | + | 0.798343i | \(0.705710\pi\) | |||||||
\(180\) | −3.99356 | − | 5.38994i | −0.297662 | − | 0.401743i | ||||
\(181\) | 3.76249 | − | 1.36943i | 0.279663 | − | 0.101789i | −0.198381 | − | 0.980125i | \(-0.563568\pi\) |
0.478044 | + | 0.878336i | \(0.341346\pi\) | |||||||
\(182\) | 0.0475020 | − | 0.177280i | 0.00352108 | − | 0.0131409i | ||||
\(183\) | −3.36017 | − | 6.01111i | −0.248391 | − | 0.444354i | ||||
\(184\) | 5.27858 | + | 0.930756i | 0.389142 | + | 0.0686162i | ||||
\(185\) | 6.93362 | + | 2.10316i | 0.509770 | + | 0.154627i | ||||
\(186\) | 8.89711 | + | 4.30010i | 0.652368 | + | 0.315298i | ||||
\(187\) | −0.0204485 | − | 0.0143182i | −0.00149534 | − | 0.00104705i | ||||
\(188\) | 3.72060 | − | 1.73495i | 0.271353 | − | 0.126534i | ||||
\(189\) | 0.666255 | − | 0.612967i | 0.0484630 | − | 0.0445868i | ||||
\(190\) | −0.492458 | + | 9.73435i | −0.0357267 | + | 0.706204i | ||||
\(191\) | − | 22.1168i | − | 1.60032i | −0.599788 | − | 0.800159i | \(-0.704748\pi\) | ||
0.599788 | − | 0.800159i | \(-0.295252\pi\) | |||||||
\(192\) | 1.09482 | + | 1.34215i | 0.0790119 | + | 0.0968613i | ||||
\(193\) | 11.5804 | − | 16.5385i | 0.833575 | − | 1.19047i | −0.145979 | − | 0.989288i | \(-0.546633\pi\) |
0.979554 | − | 0.201181i | \(-0.0644779\pi\) | |||||||
\(194\) | −9.05050 | − | 7.59428i | −0.649788 | − | 0.545237i | ||||
\(195\) | −2.74736 | − | 3.01604i | −0.196743 | − | 0.215983i | ||||
\(196\) | −1.21027 | + | 6.86376i | −0.0864476 | + | 0.490268i | ||||
\(197\) | −13.6188 | + | 3.64914i | −0.970298 | + | 0.259990i | −0.708953 | − | 0.705255i | \(-0.750832\pi\) |
−0.261344 | + | 0.965246i | \(0.584166\pi\) | |||||||
\(198\) | −0.823793 | − | 3.45531i | −0.0585444 | − | 0.245558i | ||||
\(199\) | 3.38501 | + | 9.30025i | 0.239957 | + | 0.659277i | 0.999956 | + | 0.00935304i | \(0.00297721\pi\) |
−0.759999 | + | 0.649924i | \(0.774801\pi\) | |||||||
\(200\) | −3.75908 | + | 3.29686i | −0.265807 | + | 0.233123i | ||||
\(201\) | 19.8654 | − | 19.3216i | 1.40120 | − | 1.36284i | ||||
\(202\) | 3.31887 | + | 12.3862i | 0.233515 | + | 0.871488i | ||||
\(203\) | −0.677459 | − | 0.967512i | −0.0475483 | − | 0.0679060i | ||||
\(204\) | 0.0296189 | + | 0.0213580i | 0.00207374 | + | 0.00149536i | ||||
\(205\) | 1.94893 | + | 2.48324i | 0.136119 | + | 0.173437i | ||||
\(206\) | 0.822962 | − | 0.145110i | 0.0573385 | − | 0.0101103i | ||||
\(207\) | 12.9110 | + | 9.58511i | 0.897373 | + | 0.666211i | ||||
\(208\) | 0.744860 | + | 0.744860i | 0.0516468 | + | 0.0516468i | ||||
\(209\) | −2.26430 | + | 4.63795i | −0.156625 | + | 0.320814i | ||||
\(210\) | −0.496163 | − | 0.457351i | −0.0342385 | − | 0.0315602i | ||||
\(211\) | 8.63122 | + | 3.14151i | 0.594198 | + | 0.216270i | 0.621575 | − | 0.783355i | \(-0.286493\pi\) |
−0.0273771 | + | 0.999625i | \(0.508715\pi\) | |||||||
\(212\) | 0.243140 | − | 0.347239i | 0.0166989 | − | 0.0238485i | ||||
\(213\) | −3.50606 | − | 10.0653i | −0.240231 | − | 0.689662i | ||||
\(214\) | −10.0877 | − | 12.0221i | −0.689583 | − | 0.821813i | ||||
\(215\) | −7.68236 | − | 17.9884i | −0.523932 | − | 1.22680i | ||||
\(216\) | 1.13480 | + | 5.07072i | 0.0772134 | + | 0.345019i | ||||
\(217\) | 0.960160 | + | 0.257274i | 0.0651799 | + | 0.0174649i | ||||
\(218\) | −1.26464 | + | 2.71204i | −0.0856526 | + | 0.183682i | ||||
\(219\) | 9.35843 | − | 6.36115i | 0.632384 | − | 0.429847i | ||||
\(220\) | −2.51623 | + | 0.823696i | −0.169644 | + | 0.0555335i | ||||
\(221\) | 0.0192330 | + | 0.0111042i | 0.00129375 | + | 0.000746948i | ||||
\(222\) | −4.24887 | − | 3.66689i | −0.285165 | − | 0.246106i | ||||
\(223\) | −20.6443 | − | 1.80614i | −1.38244 | − | 0.120948i | −0.628461 | − | 0.777841i | \(-0.716315\pi\) |
−0.753984 | + | 0.656893i | \(0.771870\pi\) | |||||||
\(224\) | 0.133469 | + | 0.111994i | 0.00891776 | + | 0.00748289i | ||||
\(225\) | −14.5116 | + | 3.79668i | −0.967437 | + | 0.253112i | ||||
\(226\) | 3.26916 | + | 1.18988i | 0.217461 | + | 0.0791495i | ||||
\(227\) | 0.447561 | + | 0.447561i | 0.0297057 | + | 0.0297057i | 0.721804 | − | 0.692098i | \(-0.243313\pi\) |
−0.692098 | + | 0.721804i | \(0.743313\pi\) | |||||||
\(228\) | 3.40608 | − | 6.73785i | 0.225573 | − | 0.446225i | ||||
\(229\) | 9.68915i | 0.640277i | 0.947371 | + | 0.320139i | \(0.103729\pi\) | ||||
−0.947371 | + | 0.320139i | \(0.896271\pi\) | |||||||
\(230\) | 6.32890 | − | 10.1781i | 0.417315 | − | 0.671123i | ||||
\(231\) | −0.146501 | − | 0.325906i | −0.00963909 | − | 0.0214431i | ||||
\(232\) | 6.75321 | − | 0.590829i | 0.443370 | − | 0.0387898i | ||||
\(233\) | 0.0504192 | − | 0.576294i | 0.00330307 | − | 0.0377543i | −0.994364 | − | 0.106017i | \(-0.966190\pi\) |
0.997667 | + | 0.0682629i | \(0.0217457\pi\) | |||||||
\(234\) | 0.998016 | + | 2.99844i | 0.0652424 | + | 0.196014i | ||||
\(235\) | −0.500580 | − | 9.16592i | −0.0326543 | − | 0.597918i | ||||
\(236\) | −5.84454 | + | 3.37435i | −0.380447 | + | 0.219651i | ||||
\(237\) | −18.1897 | − | 3.46827i | −1.18155 | − | 0.225289i | ||||
\(238\) | 0.00332911 | + | 0.00155239i | 0.000215794 | + | 0.000100627i | ||||
\(239\) | 4.53038 | + | 7.84685i | 0.293046 | + | 0.507570i | 0.974528 | − | 0.224264i | \(-0.0719978\pi\) |
−0.681483 | + | 0.731834i | \(0.738664\pi\) | |||||||
\(240\) | 3.69715 | − | 1.15372i | 0.238650 | − | 0.0744723i | ||||
\(241\) | 0.572978 | − | 3.24952i | 0.0369088 | − | 0.209320i | −0.960776 | − | 0.277325i | \(-0.910552\pi\) |
0.997685 | + | 0.0680048i | \(0.0216633\pi\) | |||||||
\(242\) | 9.56150 | + | 0.836523i | 0.614636 | + | 0.0537737i | ||||
\(243\) | −3.76475 | + | 15.1270i | −0.241509 | + | 0.970399i | ||||
\(244\) | 3.91553 | − | 0.690414i | 0.250666 | − | 0.0441992i | ||||
\(245\) | 13.2346 | + | 8.22949i | 0.845529 | + | 0.525763i | ||||
\(246\) | −0.600022 | − | 2.37042i | −0.0382560 | − | 0.151132i | ||||
\(247\) | 1.64715 | − | 4.28602i | 0.104805 | − | 0.272713i | ||||
\(248\) | −4.03422 | + | 4.03422i | −0.256173 | + | 0.256173i | ||||
\(249\) | 1.04900 | − | 10.3359i | 0.0664774 | − | 0.655012i | ||||
\(250\) | 3.70963 | + | 10.5470i | 0.234617 | + | 0.667049i | ||||
\(251\) | 5.39472 | − | 6.42918i | 0.340512 | − | 0.405806i | −0.568428 | − | 0.822733i | \(-0.692448\pi\) |
0.908940 | + | 0.416926i | \(0.136893\pi\) | |||||||
\(252\) | 0.207668 | + | 0.479669i | 0.0130819 | + | 0.0302163i | ||||
\(253\) | 5.19877 | − | 3.64022i | 0.326844 | − | 0.228859i | ||||
\(254\) | −8.68215 | + | 15.0379i | −0.544767 | + | 0.943564i | ||||
\(255\) | 0.0689947 | − | 0.0436687i | 0.00432061 | − | 0.00273464i | ||||
\(256\) | −0.939693 | + | 0.342020i | −0.0587308 | + | 0.0213763i | ||||
\(257\) | 21.4084 | + | 9.98289i | 1.33542 | + | 0.622716i | 0.953476 | − | 0.301470i | \(-0.0974775\pi\) |
0.381942 | + | 0.924186i | \(0.375255\pi\) | |||||||
\(258\) | −0.210255 | + | 15.1498i | −0.0130899 | + | 0.943186i | ||||
\(259\) | −0.488927 | − | 0.282282i | −0.0303805 | − | 0.0175402i | ||||
\(260\) | 2.16618 | − | 0.925115i | 0.134341 | − | 0.0573732i | ||||
\(261\) | 18.9102 | + | 7.48334i | 1.17051 | + | 0.463207i | ||||
\(262\) | 10.5596 | − | 0.923842i | 0.652372 | − | 0.0570752i | ||||
\(263\) | 8.09780 | + | 5.67014i | 0.499332 | + | 0.349636i | 0.795952 | − | 0.605360i | \(-0.206971\pi\) |
−0.296620 | + | 0.954995i | \(0.595860\pi\) | |||||||
\(264\) | 2.04036 | + | 0.207076i | 0.125575 | + | 0.0127447i | ||||
\(265\) | −0.517995 | − | 0.793815i | −0.0318202 | − | 0.0487637i | ||||
\(266\) | 0.209616 | − | 0.729955i | 0.0128524 | − | 0.0447564i | ||||
\(267\) | 3.51045 | − | 5.88998i | 0.214836 | − | 0.360461i | ||||
\(268\) | 6.76170 | + | 14.5005i | 0.413037 | + | 0.885760i | ||||
\(269\) | 3.04002 | + | 17.2408i | 0.185354 | + | 1.05119i | 0.925500 | + | 0.378747i | \(0.123645\pi\) |
−0.740147 | + | 0.672445i | \(0.765244\pi\) | |||||||
\(270\) | 11.4676 | + | 1.86953i | 0.697893 | + | 0.113776i | ||||
\(271\) | −0.477497 | + | 0.400668i | −0.0290059 | + | 0.0243388i | −0.657175 | − | 0.753738i | \(-0.728249\pi\) |
0.628169 | + | 0.778077i | \(0.283804\pi\) | |||||||
\(272\) | −0.0172700 | + | 0.0120926i | −0.00104715 | + | 0.000733219i | ||||
\(273\) | 0.155109 | + | 0.277480i | 0.00938763 | + | 0.0167938i | ||||
\(274\) | −2.52892 | + | 1.46007i | −0.152778 | + | 0.0882062i | ||||
\(275\) | −0.386997 | + | 5.90760i | −0.0233368 | + | 0.356242i | ||||
\(276\) | −7.67801 | + | 5.21893i | −0.462162 | + | 0.314142i | ||||
\(277\) | 2.86699 | + | 0.768207i | 0.172261 | + | 0.0461571i | 0.343918 | − | 0.939000i | \(-0.388246\pi\) |
−0.171658 | + | 0.985157i | \(0.554912\pi\) | |||||||
\(278\) | 3.64268 | + | 13.5947i | 0.218474 | + | 0.815354i | ||||
\(279\) | −16.2398 | + | 5.40533i | −0.972250 | + | 0.323608i | ||||
\(280\) | 0.343587 | − | 0.183659i | 0.0205332 | − | 0.0109757i | ||||
\(281\) | 14.8251 | − | 17.6678i | 0.884390 | − | 1.05397i | −0.113780 | − | 0.993506i | \(-0.536296\pi\) |
0.998170 | − | 0.0604687i | \(-0.0192595\pi\) | |||||||
\(282\) | −2.52441 | + | 6.64726i | −0.150326 | + | 0.395839i | ||||
\(283\) | −1.87570 | − | 4.02245i | −0.111499 | − | 0.239110i | 0.842638 | − | 0.538480i | \(-0.181001\pi\) |
−0.954137 | + | 0.299370i | \(0.903223\pi\) | |||||||
\(284\) | 6.15365 | 0.365152 | ||||||||
\(285\) | −11.1441 | − | 12.6811i | −0.660117 | − | 0.751163i | ||||
\(286\) | 1.24727 | 0.0737526 | ||||||||
\(287\) | −0.103950 | − | 0.222921i | −0.00613597 | − | 0.0131586i | ||||
\(288\) | −2.98018 | − | 0.344304i | −0.175609 | − | 0.0202883i | ||||
\(289\) | 10.9271 | − | 13.0224i | 0.642771 | − | 0.766024i | ||||
\(290\) | 4.39997 | − | 14.5057i | 0.258375 | − | 0.851803i | ||||
\(291\) | 20.4084 | − | 1.50045i | 1.19636 | − | 0.0879577i | ||||
\(292\) | 1.69089 | + | 6.31050i | 0.0989520 | + | 0.369294i | ||||
\(293\) | 28.0801 | + | 7.52404i | 1.64046 | + | 0.439559i | 0.956919 | − | 0.290356i | \(-0.0937736\pi\) |
0.683538 | + | 0.729915i | \(0.260440\pi\) | |||||||
\(294\) | −6.78619 | − | 9.98375i | −0.395779 | − | 0.582264i | ||||
\(295\) | 2.13306 | + | 14.9390i | 0.124191 | + | 0.869784i | ||||
\(296\) | 2.80620 | − | 1.62016i | 0.163107 | − | 0.0941698i | ||||
\(297\) | 5.19558 | + | 3.29536i | 0.301478 | + | 0.191216i | ||||
\(298\) | 12.4488 | − | 8.71677i | 0.721142 | − | 0.504949i | ||||
\(299\) | −4.32523 | + | 3.62930i | −0.250134 | + | 0.209888i | ||||
\(300\) | 0.685973 | − | 8.63304i | 0.0396047 | − | 0.498429i | ||||
\(301\) | 0.264658 | + | 1.50095i | 0.0152546 | + | 0.0865132i | ||||
\(302\) | 7.34157 | + | 15.7440i | 0.422460 | + | 0.905968i | ||||
\(303\) | −19.0787 | − | 11.3710i | −1.09604 | − | 0.653246i | ||||
\(304\) | 3.02674 | + | 3.13670i | 0.173595 | + | 0.179902i | ||||
\(305\) | 1.82930 | − | 8.70023i | 0.104746 | − | 0.498174i | ||||
\(306\) | −0.0625681 | + | 0.00925014i | −0.00357678 | + | 0.000528795i | ||||
\(307\) | −6.58261 | − | 4.60919i | −0.375689 | − | 0.263060i | 0.370447 | − | 0.928854i | \(-0.379204\pi\) |
−0.746136 | + | 0.665793i | \(0.768093\pi\) | |||||||
\(308\) | 0.205514 | − | 0.0179801i | 0.0117102 | − | 0.00102451i | ||||
\(309\) | −0.846568 | + | 1.17401i | −0.0481596 | + | 0.0667869i | ||||
\(310\) | 5.01049 | + | 11.7322i | 0.284577 | + | 0.666343i | ||||
\(311\) | −18.4798 | − | 10.6693i | −1.04790 | − | 0.605003i | −0.125836 | − | 0.992051i | \(-0.540161\pi\) |
−0.922060 | + | 0.387048i | \(0.873495\pi\) | |||||||
\(312\) | −1.82435 | − | 0.0253191i | −0.103284 | − | 0.00143341i | ||||
\(313\) | 16.6632 | + | 7.77019i | 0.941861 | + | 0.439197i | 0.832016 | − | 0.554752i | \(-0.187187\pi\) |
0.109845 | + | 0.993949i | \(0.464965\pi\) | |||||||
\(314\) | 6.49232 | − | 2.36301i | 0.366383 | − | 0.133352i | ||||
\(315\) | 1.16836 | − | 0.0313242i | 0.0658295 | − | 0.00176492i | ||||
\(316\) | 5.34552 | − | 9.25872i | 0.300709 | − | 0.520844i | ||||
\(317\) | 15.2430 | − | 10.6733i | 0.856133 | − | 0.599471i | −0.0609615 | − | 0.998140i | \(-0.519417\pi\) |
0.917095 | + | 0.398669i | \(0.130528\pi\) | |||||||
\(318\) | 0.117449 | + | 0.724763i | 0.00658623 | + | 0.0406427i | ||||
\(319\) | 5.15946 | − | 6.14881i | 0.288874 | − | 0.344267i | ||||
\(320\) | −0.0731230 | + | 2.23487i | −0.00408770 | + | 0.124933i | ||||
\(321\) | 27.0434 | + | 2.74464i | 1.50941 | + | 0.153191i | ||||
\(322\) | −0.660353 | + | 0.660353i | −0.0368000 | + | 0.0368000i | ||||
\(323\) | 0.0787532 | + | 0.0473611i | 0.00438195 | + | 0.00263524i | ||||
\(324\) | −7.53256 | − | 4.92550i | −0.418475 | − | 0.273639i | ||||
\(325\) | −0.115082 | − | 5.26570i | −0.00638362 | − | 0.292088i | ||||
\(326\) | −13.3993 | + | 2.36266i | −0.742119 | + | 0.130856i | ||||
\(327\) | −1.70493 | − | 4.89455i | −0.0942829 | − | 0.270669i | ||||
\(328\) | 1.40635 | + | 0.123040i | 0.0776528 | + | 0.00679374i | ||||
\(329\) | −0.124203 | + | 0.704393i | −0.00684756 | + | 0.0388344i | ||||
\(330\) | 2.12949 | − | 4.06140i | 0.117225 | − | 0.223573i | ||||
\(331\) | −3.06107 | − | 5.30193i | −0.168252 | − | 0.291420i | 0.769554 | − | 0.638582i | \(-0.220479\pi\) |
−0.937805 | + | 0.347162i | \(0.887145\pi\) | |||||||
\(332\) | 5.43612 | + | 2.53491i | 0.298346 | + | 0.139121i | ||||
\(333\) | 9.70375 | − | 0.578166i | 0.531762 | − | 0.0316833i | ||||
\(334\) | −15.9173 | + | 9.18986i | −0.870956 | + | 0.502847i | ||||
\(335\) | 35.7229 | − | 1.95094i | 1.95175 | − | 0.106591i | ||||
\(336\) | −0.300965 | + | 0.0221272i | −0.0164190 | + | 0.00120714i | ||||
\(337\) | −0.330975 | + | 3.78307i | −0.0180294 | + | 0.206077i | 0.981837 | + | 0.189727i | \(0.0607602\pi\) |
−0.999866 | + | 0.0163501i | \(0.994795\pi\) | |||||||
\(338\) | 11.8451 | − | 1.03631i | 0.644290 | − | 0.0563680i | ||||
\(339\) | −5.49600 | + | 2.47056i | −0.298502 | + | 0.134183i | ||||
\(340\) | 0.0107057 | + | 0.0459107i | 0.000580600 | + | 0.00248986i | ||||
\(341\) | 6.75530i | 0.365820i | ||||||||
\(342\) | 3.90777 | + | 12.4792i | 0.211308 | + | 0.674795i | ||||
\(343\) | −1.72106 | − | 1.72106i | −0.0929285 | − | 0.0929285i | ||||
\(344\) | −8.22004 | − | 2.99185i | −0.443195 | − | 0.161310i | ||||
\(345\) | 4.43327 | + | 20.2803i | 0.238679 | + | 1.09186i | ||||
\(346\) | 2.49711 | + | 2.09532i | 0.134245 | + | 0.112645i | ||||
\(347\) | −10.1664 | − | 0.889446i | −0.545762 | − | 0.0477479i | −0.189059 | − | 0.981966i | \(-0.560544\pi\) |
−0.356703 | + | 0.934218i | \(0.616099\pi\) | |||||||
\(348\) | −7.67144 | + | 8.88897i | −0.411232 | + | 0.476499i | ||||
\(349\) | 15.8399 | + | 9.14516i | 0.847890 | + | 0.489529i | 0.859938 | − | 0.510398i | \(-0.170502\pi\) |
−0.0120486 | + | 0.999927i | \(0.503835\pi\) | |||||||
\(350\) | −0.0948703 | − | 0.865975i | −0.00507103 | − | 0.0462883i | ||||
\(351\) | −4.86017 | − | 2.51770i | −0.259417 | − | 0.134385i | ||||
\(352\) | −0.500402 | + | 1.07312i | −0.0266715 | + | 0.0571973i | ||||
\(353\) | −25.9287 | − | 6.94757i | −1.38004 | − | 0.369782i | −0.508907 | − | 0.860821i | \(-0.669950\pi\) |
−0.871137 | + | 0.491040i | \(0.836617\pi\) | |||||||
\(354\) | 3.18175 | − | 11.2477i | 0.169108 | − | 0.597809i | ||||
\(355\) | 5.12651 | − | 12.7693i | 0.272087 | − | 0.677726i | ||||
\(356\) | 2.54464 | + | 3.03258i | 0.134865 | + | 0.160726i | ||||
\(357\) | −0.00600822 | + | 0.00209286i | −0.000317988 | + | 0.000110766i | ||||
\(358\) | 5.99003 | − | 8.55465i | 0.316583 | − | 0.452127i | ||||
\(359\) | 11.3260 | + | 4.12234i | 0.597765 | + | 0.217569i | 0.623141 | − | 0.782109i | \(-0.285856\pi\) |
−0.0253762 | + | 0.999678i | \(0.508078\pi\) | |||||||
\(360\) | −3.19720 | + | 5.89728i | −0.168507 | + | 0.310814i | ||||
\(361\) | 7.13112 | − | 17.6110i | 0.375322 | − | 0.926894i | ||||
\(362\) | −2.83122 | − | 2.83122i | −0.148806 | − | 0.148806i | ||||
\(363\) | −12.8820 | + | 10.5081i | −0.676129 | + | 0.551533i | ||||
\(364\) | −0.180745 | + | 0.0318703i | −0.00947363 | + | 0.00167046i | ||||
\(365\) | 14.5035 | + | 1.74843i | 0.759146 | + | 0.0915172i | ||||
\(366\) | −4.02785 | + | 5.58575i | −0.210539 | + | 0.291972i | ||||
\(367\) | 12.0216 | + | 17.1686i | 0.627523 | + | 0.896196i | 0.999486 | − | 0.0320518i | \(-0.0102041\pi\) |
−0.371963 | + | 0.928247i | \(0.621315\pi\) | |||||||
\(368\) | −1.38727 | − | 5.17737i | −0.0723166 | − | 0.269889i | ||||
\(369\) | 3.60759 | + | 2.21856i | 0.187804 | + | 0.115493i | ||||
\(370\) | −1.02417 | − | 7.17282i | −0.0532438 | − | 0.372897i | ||||
\(371\) | 0.0252605 | + | 0.0694027i | 0.00131146 | + | 0.00360321i | ||||
\(372\) | 0.137130 | − | 9.88082i | 0.00710986 | − | 0.512297i | ||||
\(373\) | −11.0329 | + | 2.95626i | −0.571263 | + | 0.153070i | −0.532876 | − | 0.846193i | \(-0.678889\pi\) |
−0.0383873 | + | 0.999263i | \(0.512222\pi\) | |||||||
\(374\) | −0.00433479 | + | 0.0245838i | −0.000224147 | + | 0.00127120i | ||||
\(375\) | −17.3428 | − | 8.61550i | −0.895579 | − | 0.444903i | ||||
\(376\) | −3.14479 | − | 2.63879i | −0.162180 | − | 0.136085i | ||||
\(377\) | −4.09588 | + | 5.84952i | −0.210948 | + | 0.301266i | ||||
\(378\) | −0.837109 | − | 0.344781i | −0.0430562 | − | 0.0177336i | ||||
\(379\) | 18.0520i | 0.927268i | 0.886027 | + | 0.463634i | \(0.153455\pi\) | ||||
−0.886027 | + | 0.463634i | \(0.846545\pi\) | |||||||
\(380\) | 9.03044 | − | 3.66759i | 0.463252 | − | 0.188144i | ||||
\(381\) | −7.38031 | − | 29.1563i | −0.378105 | − | 1.49372i | ||||
\(382\) | −20.0447 | + | 9.34698i | −1.02557 | + | 0.478233i | ||||
\(383\) | 13.5316 | + | 9.47493i | 0.691433 | + | 0.484146i | 0.865707 | − | 0.500551i | \(-0.166869\pi\) |
−0.174275 | + | 0.984697i | \(0.555758\pi\) | |||||||
\(384\) | 0.753710 | − | 1.55946i | 0.0384626 | − | 0.0795810i | ||||
\(385\) | 0.133900 | − | 0.441437i | 0.00682418 | − | 0.0224977i | ||||
\(386\) | −19.8831 | − | 3.50592i | −1.01202 | − | 0.178447i | ||||
\(387\) | −18.0343 | − | 19.0643i | −0.916736 | − | 0.969091i | ||||
\(388\) | −3.05784 | + | 11.4120i | −0.155238 | + | 0.579358i | ||||
\(389\) | 13.6632 | − | 4.97299i | 0.692751 | − | 0.252141i | 0.0284383 | − | 0.999596i | \(-0.490947\pi\) |
0.664313 | + | 0.747455i | \(0.268724\pi\) | |||||||
\(390\) | −1.57238 | + | 3.76459i | −0.0796205 | + | 0.190627i | ||||
\(391\) | −0.0565018 | − | 0.0978640i | −0.00285742 | − | 0.00494919i | ||||
\(392\) | 6.73216 | − | 1.80388i | 0.340025 | − | 0.0911095i | ||||
\(393\) | −11.9953 | + | 13.8991i | −0.605085 | + | 0.701118i | ||||
\(394\) | 9.06279 | + | 10.8006i | 0.456577 | + | 0.544127i | ||||
\(395\) | −14.7593 | − | 18.8057i | −0.742623 | − | 0.946217i | ||||
\(396\) | −2.78343 | + | 2.20689i | −0.139872 | + | 0.110900i | ||||
\(397\) | −35.6093 | + | 16.6049i | −1.78718 | + | 0.833377i | −0.823043 | + | 0.567979i | \(0.807725\pi\) |
−0.964139 | + | 0.265397i | \(0.914497\pi\) | |||||||
\(398\) | 6.99832 | − | 6.99832i | 0.350794 | − | 0.350794i | ||||
\(399\) | 0.621252 | + | 1.15947i | 0.0311015 | + | 0.0580460i | ||||
\(400\) | 4.57663 | + | 2.01357i | 0.228831 | + | 0.100679i | ||||
\(401\) | 3.74108 | − | 10.2785i | 0.186821 | − | 0.513285i | −0.810557 | − | 0.585660i | \(-0.800835\pi\) |
0.997378 | + | 0.0723745i | \(0.0230577\pi\) | |||||||
\(402\) | −25.9068 | − | 9.83853i | −1.29211 | − | 0.490701i | ||||
\(403\) | −0.523793 | − | 5.98698i | −0.0260920 | − | 0.298233i | ||||
\(404\) | 9.82307 | − | 8.24254i | 0.488716 | − | 0.410082i | ||||
\(405\) | −16.4961 | + | 11.5273i | −0.819697 | + | 0.572797i | ||||
\(406\) | −0.590557 | + | 1.02287i | −0.0293088 | + | 0.0507644i | ||||
\(407\) | 0.993013 | − | 3.70597i | 0.0492218 | − | 0.183698i | ||||
\(408\) | 0.00683943 | − | 0.0358701i | 0.000338602 | − | 0.00177584i | ||||
\(409\) | 1.98981 | + | 5.46697i | 0.0983899 | + | 0.270324i | 0.979116 | − | 0.203302i | \(-0.0651672\pi\) |
−0.880726 | + | 0.473626i | \(0.842945\pi\) | |||||||
\(410\) | 1.42693 | − | 2.81580i | 0.0704710 | − | 0.139062i | ||||
\(411\) | 1.37673 | − | 4.86686i | 0.0679093 | − | 0.240064i | ||||
\(412\) | −0.479313 | − | 0.684530i | −0.0236141 | − | 0.0337244i | ||||
\(413\) | 0.102481 | − | 1.17136i | 0.00504274 | − | 0.0576388i | ||||
\(414\) | 3.23066 | − | 15.7521i | 0.158778 | − | 0.774176i | ||||
\(415\) | 9.78889 | − | 9.16862i | 0.480518 | − | 0.450070i | ||||
\(416\) | 0.360281 | − | 0.989864i | 0.0176642 | − | 0.0485321i | ||||
\(417\) | −20.9402 | − | 12.4804i | −1.02545 | − | 0.611170i | ||||
\(418\) | 5.16034 | + | 0.0920663i | 0.252401 | + | 0.00450311i | ||||
\(419\) | −36.3736 | −1.77696 | −0.888482 | − | 0.458911i | \(-0.848240\pi\) | ||||
−0.888482 | + | 0.458911i | \(0.848240\pi\) | |||||||
\(420\) | −0.204813 | + | 0.642961i | −0.00999387 | + | 0.0313733i | ||||
\(421\) | 6.49842 | + | 36.8544i | 0.316714 | + | 1.79617i | 0.562445 | + | 0.826835i | \(0.309861\pi\) |
−0.245731 | + | 0.969338i | \(0.579028\pi\) | |||||||
\(422\) | −0.800539 | − | 9.15020i | −0.0389696 | − | 0.445425i | ||||
\(423\) | −4.89307 | − | 11.3019i | −0.237909 | − | 0.549520i | ||||
\(424\) | −0.417461 | − | 0.0736096i | −0.0202737 | − | 0.00357480i | ||||
\(425\) | 0.104187 | + | 0.0160322i | 0.00505383 | + | 0.000777678i | ||||
\(426\) | −7.64051 | + | 7.43134i | −0.370184 | + | 0.360050i | ||||
\(427\) | −0.292761 | + | 0.627829i | −0.0141677 | + | 0.0303828i | ||||
\(428\) | −6.63245 | + | 14.2233i | −0.320592 | + | 0.687511i | ||||
\(429\) | −1.54864 | + | 1.50624i | −0.0747690 | + | 0.0727221i | ||||
\(430\) | −13.0563 | + | 14.5648i | −0.629632 | + | 0.702378i | ||||
\(431\) | −33.4789 | − | 5.90323i | −1.61262 | − | 0.284349i | −0.706610 | − | 0.707603i | \(-0.749776\pi\) |
−0.906011 | + | 0.423255i | \(0.860888\pi\) | |||||||
\(432\) | 4.11605 | − | 3.17146i | 0.198033 | − | 0.152587i | ||||
\(433\) | 1.77322 | + | 20.2680i | 0.0852156 | + | 0.974019i | 0.911645 | + | 0.410979i | \(0.134813\pi\) |
−0.826429 | + | 0.563041i | \(0.809631\pi\) | |||||||
\(434\) | −0.172612 | − | 0.978929i | −0.00828562 | − | 0.0469901i | ||||
\(435\) | 12.0544 | + | 23.3241i | 0.577964 | + | 1.11831i | ||||
\(436\) | 2.99240 | 0.143310 | ||||||||
\(437\) | −18.1627 | + | 14.6963i | −0.868840 | + | 0.703018i | ||||
\(438\) | −9.72020 | − | 5.79328i | −0.464449 | − | 0.276814i | ||||
\(439\) | 3.48257 | − | 9.56829i | 0.166214 | − | 0.456670i | −0.828422 | − | 0.560104i | \(-0.810761\pi\) |
0.994636 | + | 0.103435i | \(0.0329833\pi\) | |||||||
\(440\) | 1.80993 | + | 1.93237i | 0.0862849 | + | 0.0921222i | ||||
\(441\) | 20.4826 | + | 4.20084i | 0.975361 | + | 0.200040i | ||||
\(442\) | 0.00193559 | − | 0.0221239i | 9.20665e−5 | − | 0.00105232i | ||||
\(443\) | 3.07762 | + | 4.39530i | 0.146222 | + | 0.208827i | 0.885581 | − | 0.464484i | \(-0.153760\pi\) |
−0.739359 | + | 0.673311i | \(0.764871\pi\) | |||||||
\(444\) | −1.52768 | + | 5.40048i | −0.0725007 | + | 0.256295i | ||||
\(445\) | 8.41275 | − | 2.75394i | 0.398803 | − | 0.130549i | ||||
\(446\) | 7.08774 | + | 19.4734i | 0.335614 | + | 0.922092i | ||||
\(447\) | −4.93012 | + | 25.8566i | −0.233187 | + | 1.22297i | ||||
\(448\) | 0.0450943 | − | 0.168294i | 0.00213051 | − | 0.00795116i | ||||
\(449\) | 6.67699 | − | 11.5649i | 0.315107 | − | 0.545781i | −0.664354 | − | 0.747418i | \(-0.731293\pi\) |
0.979460 | + | 0.201638i | \(0.0646264\pi\) | |||||||
\(450\) | 9.57381 | + | 11.5474i | 0.451314 | + | 0.544349i | ||||
\(451\) | 1.28049 | − | 1.07445i | 0.0602957 | − | 0.0505941i | ||||
\(452\) | −0.303212 | − | 3.46573i | −0.0142619 | − | 0.163014i | ||||
\(453\) | −28.1285 | − | 10.6823i | −1.32159 | − | 0.501896i | ||||
\(454\) | 0.216481 | − | 0.594776i | 0.0101599 | − | 0.0279142i | ||||
\(455\) | −0.0844426 | + | 0.401612i | −0.00395873 | + | 0.0188279i | ||||
\(456\) | −7.54604 | − | 0.239416i | −0.353376 | − | 0.0112117i | ||||
\(457\) | −12.9927 | + | 12.9927i | −0.607775 | + | 0.607775i | −0.942364 | − | 0.334589i | \(-0.891402\pi\) |
0.334589 | + | 0.942364i | \(0.391402\pi\) | |||||||
\(458\) | 8.78135 | − | 4.09481i | 0.410326 | − | 0.191338i | ||||
\(459\) | 0.0665152 | − | 0.0870444i | 0.00310467 | − | 0.00406288i | ||||
\(460\) | −11.8992 | − | 1.43448i | −0.554802 | − | 0.0668830i | ||||
\(461\) | 19.7131 | + | 23.4932i | 0.918132 | + | 1.09419i | 0.995268 | + | 0.0971666i | \(0.0309780\pi\) |
−0.0771361 | + | 0.997021i | \(0.524578\pi\) | |||||||
\(462\) | −0.233457 | + | 0.270509i | −0.0108614 | + | 0.0125852i | ||||
\(463\) | −37.7596 | + | 10.1177i | −1.75484 | + | 0.470207i | −0.985648 | − | 0.168814i | \(-0.946006\pi\) |
−0.769189 | + | 0.639021i | \(0.779339\pi\) | |||||||
\(464\) | −3.38950 | − | 5.87079i | −0.157354 | − | 0.272545i | ||||
\(465\) | −20.3893 | − | 8.51611i | −0.945530 | − | 0.394925i | ||||
\(466\) | −0.543608 | + | 0.197857i | −0.0251822 | + | 0.00916556i | ||||
\(467\) | 10.5631 | − | 39.4221i | 0.488803 | − | 1.82424i | −0.0734859 | − | 0.997296i | \(-0.523412\pi\) |
0.562289 | − | 0.826941i | \(-0.309921\pi\) | |||||||
\(468\) | 2.29573 | − | 2.17171i | 0.106120 | − | 0.100387i | ||||
\(469\) | −2.74527 | − | 0.484065i | −0.126765 | − | 0.0223521i | ||||
\(470\) | −8.09559 | + | 4.32736i | −0.373422 | + | 0.199606i | ||||
\(471\) | −5.20737 | + | 10.7743i | −0.239943 | + | 0.496453i | ||||
\(472\) | 5.52821 | + | 3.87089i | 0.254456 | + | 0.178172i | ||||
\(473\) | −9.38717 | + | 4.37731i | −0.431623 | + | 0.201269i | ||||
\(474\) | 4.54399 | + | 17.9513i | 0.208712 | + | 0.824528i | ||||
\(475\) | −0.0874475 | − | 21.7943i | −0.00401237 | − | 0.999992i | ||||
\(476\) | − | 0.00367327i | − | 0.000168364i | ||||||
\(477\) | −1.02107 | − | 0.758047i | −0.0467518 | − | 0.0347086i | ||||
\(478\) | 5.19704 | − | 7.42214i | 0.237707 | − | 0.339481i | ||||
\(479\) | −21.0703 | − | 17.6801i | −0.962727 | − | 0.807824i | 0.0186679 | − | 0.999826i | \(-0.494057\pi\) |
−0.981394 | + | 0.192002i | \(0.938502\pi\) | |||||||
\(480\) | −2.60811 | − | 2.86317i | −0.119043 | − | 0.130685i | ||||
\(481\) | −0.592717 | + | 3.36147i | −0.0270256 | + | 0.153270i | ||||
\(482\) | −3.18722 | + | 0.854012i | −0.145174 | + | 0.0388992i | ||||
\(483\) | 0.0224466 | − | 1.61737i | 0.00102135 | − | 0.0735930i | ||||
\(484\) | −3.28272 | − | 9.01919i | −0.149214 | − | 0.409963i | ||||
\(485\) | 21.1335 | + | 15.8525i | 0.959621 | + | 0.719823i | ||||
\(486\) | 15.3008 | − | 2.98093i | 0.694058 | − | 0.135218i | ||||
\(487\) | −5.24352 | − | 19.5691i | −0.237606 | − | 0.886759i | −0.976957 | − | 0.213438i | \(-0.931534\pi\) |
0.739350 | − | 0.673321i | \(-0.235133\pi\) | |||||||
\(488\) | −2.28050 | − | 3.25690i | −0.103234 | − | 0.147433i | ||||
\(489\) | 13.7837 | − | 19.1150i | 0.623319 | − | 0.864408i | ||||
\(490\) | 1.86526 | − | 15.4726i | 0.0842640 | − | 0.698980i | ||||
\(491\) | −22.2954 | + | 3.93127i | −1.00618 | + | 0.177416i | −0.652368 | − | 0.757902i | \(-0.726224\pi\) |
−0.353807 | + | 0.935318i | \(0.615113\pi\) | |||||||
\(492\) | −1.89475 | + | 1.54559i | −0.0854217 | + | 0.0696804i | ||||
\(493\) | −0.101060 | − | 0.101060i | −0.00455150 | − | 0.00455150i | ||||
\(494\) | −4.58056 | + | 0.318528i | −0.206089 | + | 0.0143312i | ||||
\(495\) | 2.26065 | + | 7.61437i | 0.101609 | + | 0.342240i | ||||
\(496\) | 5.36117 | + | 1.95131i | 0.240724 | + | 0.0876163i | ||||
\(497\) | −0.614964 | + | 0.878260i | −0.0275849 | + | 0.0393954i | ||||
\(498\) | −9.81085 | + | 3.41743i | −0.439635 | + | 0.153139i | ||||
\(499\) | 23.8480 | + | 28.4209i | 1.06758 | + | 1.27230i | 0.960570 | + | 0.278038i | \(0.0896841\pi\) |
0.107013 | + | 0.994258i | \(0.465871\pi\) | |||||||
\(500\) | 7.99105 | − | 7.81941i | 0.357371 | − | 0.349695i | ||||
\(501\) | 8.66533 | − | 30.6326i | 0.387138 | − | 1.36856i | ||||
\(502\) | −8.10673 | − | 2.17219i | −0.361821 | − | 0.0969496i | ||||
\(503\) | −6.35856 | + | 13.6360i | −0.283514 | + | 0.607998i | −0.995559 | − | 0.0941355i | \(-0.969991\pi\) |
0.712045 | + | 0.702134i | \(0.247769\pi\) | |||||||
\(504\) | 0.346963 | − | 0.390928i | 0.0154550 | − | 0.0174133i | ||||
\(505\) | −8.92050 | − | 27.2504i | −0.396957 | − | 1.21263i | ||||
\(506\) | −5.49625 | − | 3.17326i | −0.244338 | − | 0.141069i | ||||
\(507\) | −13.4557 | + | 15.5912i | −0.597588 | + | 0.692432i | ||||
\(508\) | 17.2982 | + | 1.51340i | 0.767485 | + | 0.0671462i | ||||
\(509\) | −14.7743 | − | 12.3971i | −0.654859 | − | 0.549492i | 0.253682 | − | 0.967288i | \(-0.418358\pi\) |
−0.908541 | + | 0.417796i | \(0.862803\pi\) | |||||||
\(510\) | −0.0687357 | − | 0.0440752i | −0.00304367 | − | 0.00195168i | ||||
\(511\) | −1.06962 | − | 0.389312i | −0.0473174 | − | 0.0172221i | ||||
\(512\) | 0.707107 | + | 0.707107i | 0.0312500 | + | 0.0312500i | ||||
\(513\) | −19.9222 | − | 10.7753i | −0.879586 | − | 0.475739i | ||||
\(514\) | − | 23.6215i | − | 1.04190i | ||||||
\(515\) | −1.81977 | + | 0.424343i | −0.0801885 | + | 0.0186988i | ||||
\(516\) | 13.8192 | − | 6.21203i | 0.608358 | − | 0.273469i | ||||
\(517\) | −4.84231 | + | 0.423647i | −0.212965 | + | 0.0186320i | ||||
\(518\) | −0.0492050 | + | 0.562416i | −0.00216194 | + | 0.0247111i | ||||
\(519\) | −5.63084 | + | 0.413985i | −0.247167 | + | 0.0181719i | ||||
\(520\) | −1.75391 | − | 1.57225i | −0.0769139 | − | 0.0689479i | ||||
\(521\) | −32.8524 | + | 18.9674i | −1.43929 | + | 0.830976i | −0.997800 | − | 0.0662899i | \(-0.978884\pi\) |
−0.441492 | + | 0.897265i | \(0.645550\pi\) | |||||||
\(522\) | −1.20957 | − | 20.3010i | −0.0529415 | − | 0.888551i | ||||
\(523\) | 29.4220 | + | 13.7197i | 1.28653 | + | 0.599921i | 0.940975 | − | 0.338476i | \(-0.109911\pi\) |
0.345559 | + | 0.938397i | \(0.387689\pi\) | |||||||
\(524\) | −5.29995 | − | 9.17979i | −0.231529 | − | 0.401021i | ||||
\(525\) | 1.16357 | + | 0.960645i | 0.0507824 | + | 0.0419260i | ||||
\(526\) | 1.71661 | − | 9.73540i | 0.0748479 | − | 0.424484i | ||||
\(527\) | 0.119824 | + | 0.0104833i | 0.00521963 | + | 0.000456659i | ||||
\(528\) | −0.674617 | − | 1.93671i | −0.0293589 | − | 0.0842843i | ||||
\(529\) | 5.64263 | − | 0.994948i | 0.245332 | − | 0.0432586i | ||||
\(530\) | −0.500526 | + | 0.804943i | −0.0217415 | + | 0.0349645i | ||||
\(531\) | 9.63256 | + | 17.8078i | 0.418017 | + | 0.772793i | ||||
\(532\) | −0.750152 | + | 0.118516i | −0.0325232 | + | 0.00513830i | ||||
\(533\) | −1.05154 | + | 1.05154i | −0.0455471 | + | 0.0455471i | ||||
\(534\) | −6.82172 | − | 0.692338i | −0.295205 | − | 0.0299604i | ||||
\(535\) | 23.9892 | + | 25.6121i | 1.03714 | + | 1.10731i | ||||
\(536\) | 10.2843 | − | 12.2564i | 0.444215 | − | 0.529395i | ||||
\(537\) | 2.89350 | + | 17.8554i | 0.124864 | + | 0.770517i | ||||
\(538\) | 14.3407 | − | 10.0415i | 0.618273 | − | 0.432919i | ||||
\(539\) | 4.12621 | − | 7.14681i | 0.177728 | − | 0.307835i | ||||
\(540\) | −3.15202 | − | 11.1832i | −0.135642 | − | 0.481250i | ||||
\(541\) | 21.9271 | − | 7.98082i | 0.942721 | − | 0.343122i | 0.175481 | − | 0.984483i | \(-0.443852\pi\) |
0.767240 | + | 0.641361i | \(0.221630\pi\) | |||||||
\(542\) | 0.564927 | + | 0.263430i | 0.0242657 | + | 0.0113153i | ||||
\(543\) | 6.93438 | + | 0.0962383i | 0.297583 | + | 0.00412998i | ||||
\(544\) | 0.0182582 | + | 0.0105414i | 0.000782813 | + | 0.000451957i | ||||
\(545\) | 2.49293 | − | 6.20949i | 0.106785 | − | 0.265985i | ||||
\(546\) | 0.185930 | − | 0.257844i | 0.00795707 | − | 0.0110347i | ||||
\(547\) | 2.68584 | − | 0.234980i | 0.114838 | − | 0.0100470i | −0.0295918 | − | 0.999562i | \(-0.509421\pi\) |
0.144430 | + | 0.989515i | \(0.453865\pi\) | |||||||
\(548\) | 2.39204 | + | 1.67493i | 0.102183 | + | 0.0715493i | ||||
\(549\) | −1.74446 | − | 11.7996i | −0.0744517 | − | 0.503593i | ||||
\(550\) | 5.51765 | − | 2.14592i | 0.235274 | − | 0.0915024i | ||||
\(551\) | −17.3777 | + | 23.8989i | −0.740315 | + | 1.01813i | ||||
\(552\) | 7.97482 | + | 4.75303i | 0.339431 | + | 0.202302i | ||||
\(553\) | 0.787217 | + | 1.68819i | 0.0334759 | + | 0.0717892i | ||||
\(554\) | −0.515409 | − | 2.92303i | −0.0218976 | − | 0.124188i | ||||
\(555\) | 9.93375 | + | 7.66913i | 0.421664 | + | 0.325536i | ||||
\(556\) | 10.7815 | − | 9.04675i | 0.457237 | − | 0.383668i | ||||
\(557\) | −11.1925 | + | 7.83708i | −0.474242 | + | 0.332068i | −0.786141 | − | 0.618047i | \(-0.787924\pi\) |
0.311899 | + | 0.950115i | \(0.399035\pi\) | |||||||
\(558\) | 11.7621 | + | 12.4339i | 0.497930 | + | 0.526367i | ||||
\(559\) | 7.98011 | − | 4.60732i | 0.337523 | − | 0.194869i | ||||
\(560\) | −0.311657 | − | 0.233778i | −0.0131699 | − | 0.00987892i | ||||
\(561\) | −0.0243060 | − | 0.0357586i | −0.00102620 | − | 0.00150973i | ||||
\(562\) | −22.2778 | − | 5.96933i | −0.939734 | − | 0.251801i | ||||
\(563\) | 9.50570 | + | 35.4757i | 0.400617 | + | 1.49512i | 0.811998 | + | 0.583660i | \(0.198380\pi\) |
−0.411381 | + | 0.911464i | \(0.634953\pi\) | |||||||
\(564\) | 7.09133 | − | 0.521361i | 0.298599 | − | 0.0219533i | ||||
\(565\) | −7.44428 | − | 2.25806i | −0.313183 | − | 0.0949971i | ||||
\(566\) | −2.85287 | + | 3.39992i | −0.119915 | + | 0.142909i | ||||
\(567\) | 1.45574 | − | 0.582830i | 0.0611354 | − | 0.0244766i | ||||
\(568\) | −2.60065 | − | 5.57710i | −0.109121 | − | 0.234010i | ||||
\(569\) | 37.4018 | 1.56796 | 0.783982 | − | 0.620783i | \(-0.213185\pi\) | ||||
0.783982 | + | 0.620783i | \(0.213185\pi\) | |||||||
\(570\) | −6.78329 | + | 15.4592i | −0.284121 | + | 0.647515i | ||||
\(571\) | 29.3354 | 1.22765 | 0.613823 | − | 0.789443i | \(-0.289631\pi\) | ||||
0.613823 | + | 0.789443i | \(0.289631\pi\) | |||||||
\(572\) | −0.527119 | − | 1.13041i | −0.0220400 | − | 0.0472648i | ||||
\(573\) | 13.6002 | − | 35.8120i | 0.568157 | − | 1.49607i | ||||
\(574\) | −0.158104 | + | 0.188421i | −0.00659914 | + | 0.00786455i | ||||
\(575\) | −12.8897 | + | 23.4968i | −0.537537 | + | 0.979883i | ||||
\(576\) | 0.947432 | + | 2.84647i | 0.0394763 | + | 0.118603i | ||||
\(577\) | −4.70641 | − | 17.5645i | −0.195930 | − | 0.731222i | −0.992024 | − | 0.126048i | \(-0.959771\pi\) |
0.796094 | − | 0.605173i | \(-0.206896\pi\) | |||||||
\(578\) | −16.4203 | − | 4.39981i | −0.682995 | − | 0.183008i | ||||
\(579\) | 28.9211 | − | 19.6584i | 1.20192 | − | 0.816975i | ||||
\(580\) | −15.0061 | + | 2.14264i | −0.623095 | + | 0.0889681i | ||||
\(581\) | −0.905045 | + | 0.522528i | −0.0375476 | + | 0.0216781i | ||||
\(582\) | −9.98483 | − | 17.8622i | −0.413884 | − | 0.740411i | ||||
\(583\) | −0.411150 | + | 0.287890i | −0.0170281 | + | 0.0119232i | ||||
\(584\) | 5.00465 | − | 4.19940i | 0.207094 | − | 0.173772i | ||||
\(585\) | −2.59393 | − | 6.57305i | −0.107246 | − | 0.271762i | ||||
\(586\) | −5.04807 | − | 28.6290i | −0.208534 | − | 1.18265i | ||||
\(587\) | 11.5830 | + | 24.8398i | 0.478081 | + | 1.02525i | 0.986443 | + | 0.164105i | \(0.0524736\pi\) |
−0.508361 | + | 0.861144i | \(0.669749\pi\) | |||||||
\(588\) | −6.18038 | + | 10.3697i | −0.254875 | + | 0.427639i | ||||
\(589\) | −1.72517 | − | 24.8087i | −0.0710844 | − | 1.02222i | ||||
\(590\) | 12.6379 | − | 8.24671i | 0.520294 | − | 0.339512i | ||||
\(591\) | −24.2957 | − | 2.46578i | −0.999392 | − | 0.101429i | ||||
\(592\) | −2.65431 | − | 1.85857i | −0.109092 | − | 0.0763868i | ||||
\(593\) | −28.5473 | + | 2.49756i | −1.17230 | + | 0.102563i | −0.656620 | − | 0.754222i | \(-0.728014\pi\) |
−0.515675 | + | 0.856784i | \(0.672459\pi\) | |||||||
\(594\) | 0.790859 | − | 6.10147i | 0.0324493 | − | 0.250347i | ||||
\(595\) | −0.00762234 | − | 0.00306014i | −0.000312485 | − | 0.000125454i | ||||
\(596\) | −13.1612 | − | 7.59862i | −0.539103 | − | 0.311251i | ||||
\(597\) | −0.237885 | + | 17.1407i | −0.00973600 | + | 0.701521i | ||||
\(598\) | 5.11718 | + | 2.38618i | 0.209257 | + | 0.0975782i | ||||
\(599\) | 16.0206 | − | 5.83100i | 0.654582 | − | 0.238248i | 0.00668653 | − | 0.999978i | \(-0.497872\pi\) |
0.647895 | + | 0.761729i | \(0.275649\pi\) | |||||||
\(600\) | −8.11410 | + | 3.02678i | −0.331257 | + | 0.123568i | ||||
\(601\) | −15.3348 | + | 26.5606i | −0.625518 | + | 1.08343i | 0.362923 | + | 0.931819i | \(0.381779\pi\) |
−0.988440 | + | 0.151609i | \(0.951554\pi\) | |||||||
\(602\) | 1.24847 | − | 0.874189i | 0.0508839 | − | 0.0356293i | ||||
\(603\) | 44.0477 | − | 19.0701i | 1.79376 | − | 0.776593i | ||||
\(604\) | 11.1663 | − | 13.3074i | 0.454349 | − | 0.541472i | ||||
\(605\) | −21.4503 | − | 0.701836i | −0.872081 | − | 0.0285337i | ||||
\(606\) | −2.24261 | + | 22.0968i | −0.0910997 | + | 0.897620i | ||||
\(607\) | −11.0024 | + | 11.0024i | −0.446573 | + | 0.446573i | −0.894214 | − | 0.447640i | \(-0.852264\pi\) |
0.447640 | + | 0.894214i | \(0.352264\pi\) | |||||||
\(608\) | 1.56366 | − | 4.06878i | 0.0634148 | − | 0.165011i | ||||
\(609\) | −0.502006 | − | 1.98320i | −0.0203423 | − | 0.0803633i | ||||
\(610\) | −8.65819 | + | 2.01897i | −0.350560 | + | 0.0817455i | ||||
\(611\) | 4.25872 | − | 0.750927i | 0.172289 | − | 0.0303792i | ||||
\(612\) | 0.0348259 | + | 0.0527967i | 0.00140775 | + | 0.00213418i | ||||
\(613\) | 18.0753 | + | 1.58138i | 0.730053 | + | 0.0638714i | 0.446120 | − | 0.894973i | \(-0.352805\pi\) |
0.283933 | + | 0.958844i | \(0.408361\pi\) | |||||||
\(614\) | −1.39542 | + | 7.91380i | −0.0563144 | + | 0.319375i | ||||
\(615\) | 1.62874 | + | 5.21936i | 0.0656769 | + | 0.210465i | ||||
\(616\) | −0.103149 | − | 0.178660i | −0.00415601 | − | 0.00719842i | ||||
\(617\) | −28.8047 | − | 13.4319i | −1.15964 | − | 0.540747i | −0.255003 | − | 0.966940i | \(-0.582076\pi\) |
−0.904632 | + | 0.426194i | \(0.859854\pi\) | |||||||
\(618\) | 1.42179 | + | 0.271095i | 0.0571926 | + | 0.0109050i | ||||
\(619\) | 27.0379 | − | 15.6103i | 1.08674 | − | 0.627432i | 0.154037 | − | 0.988065i | \(-0.450773\pi\) |
0.932708 | + | 0.360633i | \(0.117439\pi\) | |||||||
\(620\) | 8.51544 | − | 9.49928i | 0.341988 | − | 0.381500i | ||||
\(621\) | 15.0115 | + | 23.4597i | 0.602392 | + | 0.941404i | ||||
\(622\) | −1.85979 | + | 21.2575i | −0.0745707 | + | 0.852348i | ||||
\(623\) | −0.687113 | + | 0.0601146i | −0.0275286 | + | 0.00240844i | ||||
\(624\) | 0.748057 | + | 1.66412i | 0.0299463 | + | 0.0666183i | ||||
\(625\) | −9.56870 | − | 23.0963i | −0.382748 | − | 0.923853i | ||||
\(626\) | − | 18.3858i | − | 0.734845i | ||||||
\(627\) | −6.51838 | + | 6.11748i | −0.260319 | + | 0.244309i | ||||
\(628\) | −4.88539 | − | 4.88539i | −0.194948 | − | 0.194948i | ||||
\(629\) | −0.0641949 | − | 0.0233650i | −0.00255962 | − | 0.000931624i | ||||
\(630\) | −0.522159 | − | 1.04565i | −0.0208033 | − | 0.0416599i | ||||
\(631\) | −0.309647 | − | 0.259824i | −0.0123268 | − | 0.0103434i | 0.636603 | − | 0.771191i | \(-0.280339\pi\) |
−0.648930 | + | 0.760848i | \(0.724783\pi\) | |||||||
\(632\) | −10.6504 | − | 0.931786i | −0.423649 | − | 0.0370645i | ||||
\(633\) | 12.0440 | + | 10.3943i | 0.478707 | + | 0.413138i | ||||
\(634\) | −16.1153 | − | 9.30415i | −0.640018 | − | 0.369515i | ||||
\(635\) | 17.5513 | − | 34.6345i | 0.696503 | − | 1.37443i | ||||
\(636\) | 0.607222 | − | 0.412743i | 0.0240779 | − | 0.0163663i | ||||
\(637\) | −3.10276 | + | 6.65390i | −0.122936 | + | 0.263637i | ||||
\(638\) | −7.75319 | − | 2.07746i | −0.306952 | − | 0.0822475i | ||||
\(639\) | 0.512319 | − | 18.4538i | 0.0202670 | − | 0.730023i | ||||
\(640\) | 2.05639 | − | 0.878226i | 0.0812858 | − | 0.0347149i | ||||
\(641\) | 23.9834 | + | 28.5824i | 0.947289 | + | 1.12894i | 0.991525 | + | 0.129914i | \(0.0414702\pi\) |
−0.0442360 | + | 0.999021i | \(0.514085\pi\) | |||||||
\(642\) | −8.94154 | − | 25.6696i | −0.352894 | − | 1.01310i | ||||
\(643\) | −22.2622 | + | 31.7937i | −0.877935 | + | 1.25382i | 0.0882837 | + | 0.996095i | \(0.471862\pi\) |
−0.966218 | + | 0.257725i | \(0.917027\pi\) | |||||||
\(644\) | 0.877560 | + | 0.319406i | 0.0345807 | + | 0.0125864i | ||||
\(645\) | −1.37788 | − | 33.8512i | −0.0542539 | − | 1.33289i | ||||
\(646\) | 0.00964117 | − | 0.0913903i | 0.000379327 | − | 0.00359570i | ||||
\(647\) | −9.29410 | − | 9.29410i | −0.365389 | − | 0.365389i | 0.500404 | − | 0.865792i | \(-0.333185\pi\) |
−0.865792 | + | 0.500404i | \(0.833185\pi\) | |||||||
\(648\) | −1.28063 | + | 8.90842i | −0.0503078 | + | 0.349956i | ||||
\(649\) | 7.86941 | − | 1.38759i | 0.308901 | − | 0.0544676i | ||||
\(650\) | −4.72371 | + | 2.32968i | −0.185279 | + | 0.0913776i | ||||
\(651\) | 1.39650 | + | 1.00701i | 0.0547333 | + | 0.0394678i | ||||
\(652\) | 7.80409 | + | 11.1454i | 0.305632 | + | 0.436487i | ||||
\(653\) | −5.66296 | − | 21.1345i | −0.221609 | − | 0.827055i | −0.983735 | − | 0.179627i | \(-0.942511\pi\) |
0.762126 | − | 0.647429i | \(-0.224156\pi\) | |||||||
\(654\) | −3.71544 | + | 3.61372i | −0.145285 | + | 0.141308i | ||||
\(655\) | −23.4641 | + | 3.35030i | −0.916819 | + | 0.130907i | ||||
\(656\) | −0.482838 | − | 1.32659i | −0.0188517 | − | 0.0517945i | ||||
\(657\) | 19.0650 | − | 4.54535i | 0.743795 | − | 0.177331i | ||||
\(658\) | 0.690887 | − | 0.185123i | 0.0269336 | − | 0.00721683i | ||||
\(659\) | −8.35945 | + | 47.4088i | −0.325638 | + | 1.84679i | 0.179515 | + | 0.983755i | \(0.442547\pi\) |
−0.505153 | + | 0.863030i | \(0.668564\pi\) | |||||||
\(660\) | −4.58084 | − | 0.213553i | −0.178309 | − | 0.00831253i | ||||
\(661\) | 13.4232 | + | 11.2634i | 0.522102 | + | 0.438096i | 0.865364 | − | 0.501144i | \(-0.167087\pi\) |
−0.343262 | + | 0.939240i | \(0.611532\pi\) | |||||||
\(662\) | −3.51151 | + | 5.01496i | −0.136479 | + | 0.194912i | ||||
\(663\) | 0.0243142 | + | 0.0298070i | 0.000944285 | + | 0.00115761i | ||||
\(664\) | − | 5.99810i | − | 0.232771i | ||||||
\(665\) | −0.379010 | + | 1.65536i | −0.0146974 | + | 0.0641921i | ||||
\(666\) | −4.62498 | − | 8.55024i | −0.179214 | − | 0.331315i | ||||
\(667\) | 32.9312 | − | 15.3561i | 1.27510 | − | 0.594589i | ||||
\(668\) | 15.0558 | + | 10.5422i | 0.582526 | + | 0.407889i | ||||
\(669\) | −32.3170 | − | 15.6192i | −1.24945 | − | 0.603875i | ||||
\(670\) | −16.8653 | − | 31.5514i | −0.651563 | − | 1.21894i | ||||
\(671\) | −4.63620 | − | 0.817487i | −0.178978 | − | 0.0315587i | ||||
\(672\) | 0.147247 | + | 0.263415i | 0.00568019 | + | 0.0101615i | ||||
\(673\) | −8.87067 | + | 33.1058i | −0.341939 | + | 1.27613i | 0.554208 | + | 0.832378i | \(0.313021\pi\) |
−0.896147 | + | 0.443757i | \(0.853646\pi\) | |||||||
\(674\) | 3.56850 | − | 1.29883i | 0.137453 | − | 0.0500290i | ||||
\(675\) | −25.8320 | − | 2.77587i | −0.994276 | − | 0.106843i | ||||
\(676\) | −5.94518 | − | 10.2974i | −0.228661 | − | 0.396052i | ||||
\(677\) | 38.5981 | − | 10.3423i | 1.48345 | − | 0.397489i | 0.575929 | − | 0.817500i | \(-0.304641\pi\) |
0.907519 | + | 0.420012i | \(0.137974\pi\) | |||||||
\(678\) | 4.56180 | + | 3.93696i | 0.175195 | + | 0.151198i | ||||
\(679\) | −1.32316 | − | 1.57688i | −0.0507782 | − | 0.0605151i | ||||
\(680\) | 0.0370848 | − | 0.0291054i | 0.00142214 | − | 0.00111614i | ||||
\(681\) | 0.449482 | + | 0.999916i | 0.0172242 | + | 0.0383169i | ||||
\(682\) | 6.12238 | − | 2.85491i | 0.234438 | − | 0.109320i | ||||
\(683\) | 29.7592 | − | 29.7592i | 1.13870 | − | 1.13870i | 0.150021 | − | 0.988683i | \(-0.452066\pi\) |
0.988683 | − | 0.150021i | \(-0.0479341\pi\) | |||||||
\(684\) | 9.65846 | − | 8.81556i | 0.369300 | − | 0.337072i | ||||
\(685\) | 5.46838 | − | 3.56833i | 0.208936 | − | 0.136339i | ||||
\(686\) | −0.832459 | + | 2.28716i | −0.0317834 | + | 0.0873243i | ||||
\(687\) | −5.95811 | + | 15.6888i | −0.227316 | + | 0.598567i | ||||
\(688\) | 0.762403 | + | 8.71430i | 0.0290663 | + | 0.332230i | ||||
\(689\) | 0.342065 | − | 0.287026i | 0.0130316 | − | 0.0109348i | ||||
\(690\) | 16.5066 | − | 12.5887i | 0.628397 | − | 0.479245i | ||||
\(691\) | −12.7205 | + | 22.0325i | −0.483909 | + | 0.838155i | −0.999829 | − | 0.0184819i | \(-0.994117\pi\) |
0.515920 | + | 0.856637i | \(0.327450\pi\) | |||||||
\(692\) | 0.843683 | − | 3.14867i | 0.0320720 | − | 0.119694i | ||||
\(693\) | −0.0368097 | − | 0.617801i | −0.00139828 | − | 0.0234683i | ||||
\(694\) | 3.49040 | + | 9.58979i | 0.132494 | + | 0.364024i | ||||
\(695\) | −9.79086 | − | 29.9092i | −0.371388 | − | 1.13452i | ||||
\(696\) | 11.2982 | + | 3.19604i | 0.428258 | + | 0.121146i | ||||
\(697\) | −0.0170714 | − | 0.0243804i | −0.000646624 | − | 0.000923474i | ||||
\(698\) | 1.59411 | − | 18.2207i | 0.0603378 | − | 0.689665i | ||||
\(699\) | 0.436018 | − | 0.902142i | 0.0164917 | − | 0.0341222i | ||||
\(700\) | −0.744746 | + | 0.451958i | −0.0281487 | + | 0.0170824i | ||||
\(701\) | 0.448403 | − | 1.23198i | 0.0169360 | − | 0.0465311i | −0.930937 | − | 0.365181i | \(-0.881007\pi\) |
0.947873 | + | 0.318650i | \(0.103229\pi\) | |||||||
\(702\) | −0.227813 | + | 5.46884i | −0.00859827 | + | 0.206408i | ||||
\(703\) | −2.70038 | + | 13.8637i | −0.101847 | + | 0.522879i | ||||
\(704\) | 1.18405 | 0.0446256 | ||||||||
\(705\) | 4.82581 | − | 15.1494i | 0.181750 | − | 0.570561i | ||||
\(706\) | 4.66130 | + | 26.4355i | 0.175430 | + | 0.994915i | ||||
\(707\) | 0.194722 | + | 2.22568i | 0.00732328 | + | 0.0837054i | ||||
\(708\) | −11.5386 | + | 1.86985i | −0.433646 | + | 0.0702731i | ||||
\(709\) | −41.7823 | − | 7.36734i | −1.56917 | − | 0.276686i | −0.679631 | − | 0.733554i | \(-0.737860\pi\) |
−0.889535 | + | 0.456868i | \(0.848971\pi\) | |||||||
\(710\) | −13.7395 | + | 0.750359i | −0.515635 | + | 0.0281605i | ||||
\(711\) | −27.3204 | − | 16.8012i | −1.02460 | − | 0.630095i | ||||
\(712\) | 1.67304 | − | 3.58785i | 0.0626999 | − | 0.134460i | ||||
\(713\) | −12.9237 | + | 27.7150i | −0.483997 | + | 1.03794i | ||||
\(714\) | 0.00443595 | + | 0.00456081i | 0.000166011 | + | 0.000170684i | ||||
\(715\) | −2.78483 | + | 0.152089i | −0.104147 | + | 0.00568779i | ||||
\(716\) | −10.2846 | − | 1.81346i | −0.384355 | − | 0.0677722i | ||||
\(717\) | 2.51044 | + | 15.4916i | 0.0937543 | + | 0.578544i | ||||
\(718\) | −1.05048 | − | 12.0070i | −0.0392036 | − | 0.448099i | ||||
\(719\) | 5.09393 | + | 28.8891i | 0.189972 | + | 1.07738i | 0.919399 | + | 0.393325i | \(0.128675\pi\) |
−0.729428 | + | 0.684058i | \(0.760214\pi\) | |||||||
\(720\) | 6.69595 | + | 0.405348i | 0.249543 | + | 0.0151064i | ||||
\(721\) | 0.145598 | 0.00542233 | ||||||||
\(722\) | −18.9747 | + | 0.979738i | −0.706166 | + | 0.0364621i | ||||
\(723\) | 2.92599 | − | 4.90934i | 0.108819 | − | 0.182580i | ||||
\(724\) | −1.36943 | + | 3.76249i | −0.0508946 | + | 0.139832i | ||||
\(725\) | −8.05522 | + | 32.9239i | −0.299163 | + | 1.22276i | ||||
\(726\) | 14.9677 | + | 7.23412i | 0.555505 | + | 0.268483i | ||||
\(727\) | −3.68977 | + | 42.1742i | −0.136846 | + | 1.56416i | 0.548633 | + | 0.836063i | \(0.315149\pi\) |
−0.685479 | + | 0.728093i | \(0.740407\pi\) | |||||||
\(728\) | 0.105271 | + | 0.150342i | 0.00390159 | + | 0.00557204i | ||||
\(729\) | −15.3979 | + | 22.1789i | −0.570294 | + | 0.821441i | ||||
\(730\) | −4.54481 | − | 13.8835i | −0.168211 | − | 0.513852i | ||||
\(731\) | 0.0630764 | + | 0.173301i | 0.00233296 | + | 0.00640977i | ||||
\(732\) | 6.76466 | + | 1.28983i | 0.250029 | + | 0.0476735i | ||||
\(733\) | −5.16599 | + | 19.2797i | −0.190810 | + | 0.712113i | 0.802502 | + | 0.596650i | \(0.203502\pi\) |
−0.993312 | + | 0.115463i | \(0.963165\pi\) | |||||||
\(734\) | 10.4795 | − | 18.1511i | 0.386806 | − | 0.669968i | ||||
\(735\) | 16.3692 | + | 21.4636i | 0.603787 | + | 0.791699i | ||||
\(736\) | −4.10600 | + | 3.44535i | −0.151349 | + | 0.126997i | ||||
\(737\) | −1.65111 | − | 18.8722i | −0.0608192 | − | 0.695167i | ||||
\(738\) | 0.486063 | − | 4.20719i | 0.0178922 | − | 0.154869i | ||||
\(739\) | 0.459799 | − | 1.26329i | 0.0169140 | − | 0.0464708i | −0.930948 | − | 0.365151i | \(-0.881017\pi\) |
0.947862 | + | 0.318680i | \(0.103240\pi\) | |||||||
\(740\) | −6.06796 | + | 3.95958i | −0.223062 | + | 0.145557i | ||||
\(741\) | 5.30267 | − | 5.92712i | 0.194798 | − | 0.217738i | ||||
\(742\) | 0.0522246 | − | 0.0522246i | 0.00191723 | − | 0.00191723i | ||||
\(743\) | 11.7064 | − | 5.45879i | 0.429467 | − | 0.200264i | −0.195851 | − | 0.980634i | \(-0.562747\pi\) |
0.625318 | + | 0.780370i | \(0.284969\pi\) | |||||||
\(744\) | −9.01302 | + | 4.05153i | −0.330433 | + | 0.148536i | ||||
\(745\) | −26.7321 | + | 20.9803i | −0.979390 | + | 0.768658i | ||||
\(746\) | 7.34200 | + | 8.74985i | 0.268810 | + | 0.320355i | ||||
\(747\) | 8.05437 | − | 16.0910i | 0.294694 | − | 0.588741i | ||||
\(748\) | 0.0241125 | − | 0.00646091i | 0.000881639 | − | 0.000236234i | ||||
\(749\) | −1.36717 | − | 2.36800i | −0.0499552 | − | 0.0865249i | ||||
\(750\) | −0.478911 | + | 19.3590i | −0.0174873 | + | 0.706891i | ||||
\(751\) | −4.88419 | + | 1.77770i | −0.178227 | + | 0.0648692i | −0.429592 | − | 0.903023i | \(-0.641343\pi\) |
0.251365 | + | 0.967892i | \(0.419120\pi\) | |||||||
\(752\) | −1.06251 | + | 3.96535i | −0.0387458 | + | 0.144601i | ||||
\(753\) | 12.6887 | − | 7.09289i | 0.462402 | − | 0.258479i | ||||
\(754\) | 7.03246 | + | 1.24001i | 0.256107 | + | 0.0451586i | ||||
\(755\) | −18.3116 | − | 34.2572i | −0.666427 | − | 1.24675i | ||||
\(756\) | 0.0412995 | + | 0.904389i | 0.00150205 | + | 0.0328923i | ||||
\(757\) | −23.3325 | − | 16.3376i | −0.848032 | − | 0.593799i | 0.0667390 | − | 0.997770i | \(-0.478741\pi\) |
−0.914771 | + | 0.403972i | \(0.867629\pi\) | |||||||
\(758\) | 16.3607 | − | 7.62910i | 0.594246 | − | 0.277101i | ||||
\(759\) | 10.6564 | − | 2.69745i | 0.386803 | − | 0.0979113i | ||||
\(760\) | −7.14040 | − | 6.63436i | −0.259009 | − | 0.240654i | ||||
\(761\) | 2.78671i | 0.101018i | 0.998724 | + | 0.0505091i | \(0.0160844\pi\) | ||||
−0.998724 | + | 0.0505091i | \(0.983916\pi\) | |||||||
\(762\) | −23.3055 | + | 19.0108i | −0.844270 | + | 0.688689i | ||||
\(763\) | −0.299046 | + | 0.427081i | −0.0108262 | + | 0.0154614i | ||||
\(764\) | 16.9425 | + | 14.2164i | 0.612957 | + | 0.514332i | ||||
\(765\) | 0.138570 | − | 0.0282825i | 0.00501002 | − | 0.00102256i | ||||
\(766\) | 2.86850 | − | 16.2681i | 0.103643 | − | 0.587789i | ||||
\(767\) | −6.86678 | + | 1.83995i | −0.247945 | + | 0.0664367i | ||||
\(768\) | −1.73188 | − | 0.0240358i | −0.0624940 | − | 0.000867317i | ||||
\(769\) | −7.98023 | − | 21.9255i | −0.287775 | − | 0.790654i | −0.996377 | − | 0.0850462i | \(-0.972896\pi\) |
0.708602 | − | 0.705608i | \(-0.249326\pi\) | |||||||
\(770\) | −0.456666 | + | 0.0652047i | −0.0164571 | + | 0.00234981i | ||||
\(771\) | 28.5261 | + | 29.3290i | 1.02734 | + | 1.05626i | ||||
\(772\) | 5.22551 | + | 19.5019i | 0.188070 | + | 0.701887i | ||||
\(773\) | 7.83181 | + | 11.1850i | 0.281691 | + | 0.402296i | 0.934917 | − | 0.354867i | \(-0.115474\pi\) |
−0.653226 | + | 0.757163i | \(0.726585\pi\) | |||||||
\(774\) | −9.65645 | + | 24.4015i | −0.347094 | + | 0.877096i | ||||
\(775\) | −12.6177 | − | 25.5839i | −0.453242 | − | 0.919002i | ||||
\(776\) | 11.6351 | − | 2.05158i | 0.417676 | − | 0.0736475i | ||||
\(777\) | −0.618097 | − | 0.757730i | −0.0221741 | − | 0.0271834i | ||||
\(778\) | −10.2814 | − | 10.2814i | −0.368605 | − | 0.368605i | ||||
\(779\) | −4.42815 | + | 4.27292i | −0.158655 | + | 0.153093i | ||||
\(780\) | 4.07639 | − | 0.165925i | 0.145958 | − | 0.00594108i | ||||
\(781\) | −6.84683 | − | 2.49204i | −0.244999 | − | 0.0891723i | ||||
\(782\) | −0.0648162 | + | 0.0925671i | −0.00231782 | + | 0.00331019i | ||||
\(783\) | 26.0180 | + | 23.7455i | 0.929806 | + | 0.848595i | ||||
\(784\) | −4.48000 | − | 5.33906i | −0.160000 | − | 0.190681i | ||||
\(785\) | −14.2075 | + | 6.06765i | −0.507089 | + | 0.216564i | ||||
\(786\) | 17.6663 | + | 4.99745i | 0.630137 | + | 0.178253i | ||||
\(787\) | −5.16829 | − | 1.38484i | −0.184230 | − | 0.0493642i | 0.165525 | − | 0.986206i | \(-0.447068\pi\) |
−0.349754 | + | 0.936841i | \(0.613735\pi\) | |||||||
\(788\) | 5.95858 | − | 12.7782i | 0.212266 | − | 0.455205i | ||||
\(789\) | 9.62539 | + | 14.1607i | 0.342673 | + | 0.504135i | ||||
\(790\) | −10.8062 | + | 21.3241i | −0.384467 | + | 0.758679i | ||||
\(791\) | 0.524937 | + | 0.303072i | 0.0186646 | + | 0.0107760i | ||||
\(792\) | 3.17645 | + | 1.58997i | 0.112870 | + | 0.0564971i | ||||
\(793\) | 4.17228 | + | 0.365027i | 0.148162 | + | 0.0129625i | ||||
\(794\) | 30.0983 | + | 25.2555i | 1.06815 | + | 0.896284i | ||||
\(795\) | −0.350610 | − | 1.60389i | −0.0124348 | − | 0.0568840i | ||||
\(796\) | −9.30025 | − | 3.38501i | −0.329639 | − | 0.119979i | ||||
\(797\) | −1.48948 | − | 1.48948i | −0.0527603 | − | 0.0527603i | 0.680234 | − | 0.732995i | \(-0.261878\pi\) |
−0.732995 | + | 0.680234i | \(0.761878\pi\) | |||||||
\(798\) | 0.788282 | − | 1.05306i | 0.0279049 | − | 0.0372779i | ||||
\(799\) | 0.0865495i | 0.00306190i | ||||||||
\(800\) | −0.109249 | − | 4.99881i | −0.00386255 | − | 0.176734i | ||||
\(801\) | 9.30609 | − | 7.37849i | 0.328814 | − | 0.260706i | ||||
\(802\) | −10.8966 | + | 0.953326i | −0.384771 | + | 0.0336631i | ||||
\(803\) | 0.674197 | − | 7.70610i | 0.0237919 | − | 0.271942i | ||||
\(804\) | 2.03193 | + | 27.6374i | 0.0716607 | + | 0.974698i | ||||
\(805\) | 1.39388 | − | 1.55492i | 0.0491277 | − | 0.0548037i | ||||
\(806\) | −5.20468 | + | 3.00493i | −0.183327 | + | 0.105844i | ||||
\(807\) | −5.67937 | + | 29.7860i | −0.199923 | + | 1.04852i | ||||
\(808\) | −11.6217 | − | 5.41928i | −0.408849 | − | 0.190650i | ||||
\(809\) | 6.47241 | + | 11.2105i | 0.227558 | + | 0.394142i | 0.957084 | − | 0.289811i | \(-0.0935926\pi\) |
−0.729526 | + | 0.683953i | \(0.760259\pi\) | |||||||
\(810\) | 17.4188 | + | 10.0789i | 0.612036 | + | 0.354136i | ||||
\(811\) | 8.20492 | − | 46.5324i | 0.288114 | − | 1.63397i | −0.405833 | − | 0.913947i | \(-0.633018\pi\) |
0.693946 | − | 0.720027i | \(-0.255870\pi\) | |||||||
\(812\) | 1.17662 | + | 0.102941i | 0.0412912 | + | 0.00361252i | ||||
\(813\) | −1.01955 | + | 0.355143i | −0.0357573 | + | 0.0124554i | ||||
\(814\) | −3.77842 | + | 0.666237i | −0.132433 | + | 0.0233516i | ||||
\(815\) | 29.6291 | − | 6.90908i | 1.03786 | − | 0.242015i | ||||
\(816\) | −0.0353998 | + | 0.00896074i | −0.00123924 | + | 0.000313689i | ||||
\(817\) | 33.3563 | − | 18.4728i | 1.16699 | − | 0.646283i | ||||
\(818\) | 4.11382 | − | 4.11382i | 0.143836 | − | 0.143836i | ||||
\(819\) | 0.0805261 | + | 0.544680i | 0.00281381 | + | 0.0190327i | ||||
\(820\) | −3.15502 | − | 0.103230i | −0.110178 | − | 0.00360493i | ||||
\(821\) | 8.27166 | − | 9.85778i | 0.288683 | − | 0.344039i | −0.602139 | − | 0.798391i | \(-0.705685\pi\) |
0.890822 | + | 0.454352i | \(0.150129\pi\) | |||||||
\(822\) | −4.99270 | + | 0.809078i | −0.174141 | + | 0.0282198i | ||||
\(823\) | 12.8538 | − | 9.00036i | 0.448057 | − | 0.313733i | −0.327681 | − | 0.944789i | \(-0.606267\pi\) |
0.775737 | + | 0.631056i | \(0.217378\pi\) | |||||||
\(824\) | −0.417829 | + | 0.723700i | −0.0145557 | + | 0.0252113i | ||||
\(825\) | −4.25937 | + | 9.32772i | −0.148292 | + | 0.324749i | ||||
\(826\) | −1.10492 | + | 0.402159i | −0.0384451 | + | 0.0139929i | ||||
\(827\) | −20.5054 | − | 9.56182i | −0.713042 | − | 0.332497i | 0.0320243 | − | 0.999487i | \(-0.489805\pi\) |
−0.745067 | + | 0.666990i | \(0.767582\pi\) | |||||||
\(828\) | −15.6416 | + | 3.72917i | −0.543584 | + | 0.129598i | ||||
\(829\) | −43.4943 | − | 25.1114i | −1.51062 | − | 0.872157i | −0.999923 | − | 0.0123953i | \(-0.996054\pi\) |
−0.510696 | − | 0.859761i | \(-0.670612\pi\) | |||||||
\(830\) | −12.4466 | − | 4.99692i | −0.432026 | − | 0.173446i | ||||
\(831\) | 4.16989 | + | 3.00688i | 0.144652 | + | 0.104307i | ||||
\(832\) | −1.04938 | + | 0.0918091i | −0.0363808 | + | 0.00318291i | ||||
\(833\) | −0.120365 | − | 0.0842808i | −0.00417042 | − | 0.00292016i | ||||
\(834\) | −2.46142 | + | 24.2527i | −0.0852318 | + | 0.839803i | ||||
\(835\) | 34.4186 | − | 22.4595i | 1.19111 | − | 0.777242i | ||||
\(836\) | −2.09741 | − | 4.71577i | −0.0725406 | − | 0.163098i | ||||
\(837\) | −29.6196 | − | 1.23385i | −1.02380 | − | 0.0426482i | ||||
\(838\) | 15.3721 | + | 32.9656i | 0.531021 | + | 1.13878i | ||||
\(839\) | −2.36447 | − | 13.4096i | −0.0816306 | − | 0.462950i | −0.998033 | − | 0.0626917i | \(-0.980032\pi\) |
0.916402 | − | 0.400258i | \(-0.131080\pi\) | |||||||
\(840\) | 0.669278 | − | 0.0861032i | 0.0230923 | − | 0.00297084i | ||||
\(841\) | 12.9882 | − | 10.8984i | 0.447870 | − | 0.375807i | ||||
\(842\) | 30.6551 | − | 21.4649i | 1.05644 | − | 0.739729i | ||||
\(843\) | 34.8694 | − | 19.4918i | 1.20097 | − | 0.671332i | ||||
\(844\) | −7.95457 | + | 4.59258i | −0.273808 | + | 0.158083i | ||||
\(845\) | −26.3207 | + | 3.75818i | −0.905460 | + | 0.129285i | ||||
\(846\) | −8.17514 | + | 9.21104i | −0.281067 | + | 0.316682i | ||||
\(847\) | 1.61529 | + | 0.432816i | 0.0555021 | + | 0.0148717i | ||||
\(848\) | 0.109714 | + | 0.409457i | 0.00376758 | + | 0.0140608i | ||||
\(849\) | −0.563659 | − | 7.66664i | −0.0193447 | − | 0.263118i | ||||
\(850\) | −0.0295013 | − | 0.101201i | −0.00101189 | − | 0.00347118i | ||||
\(851\) | 11.1640 | − | 13.3048i | 0.382698 | − | 0.456081i | ||||
\(852\) | 9.96410 | + | 3.78404i | 0.341365 | + | 0.129639i | ||||
\(853\) | −20.0918 | − | 43.0871i | −0.687931 | − | 1.47527i | −0.870545 | − | 0.492088i | \(-0.836234\pi\) |
0.182614 | − | 0.983185i | \(-0.441544\pi\) | |||||||
\(854\) | 0.692732 | 0.0237048 | ||||||||
\(855\) | −10.2467 | − | 27.3862i | −0.350430 | − | 0.936589i | ||||
\(856\) | 15.6937 | 0.536400 | ||||||||
\(857\) | 15.1463 | + | 32.4814i | 0.517389 | + | 1.10955i | 0.975368 | + | 0.220582i | \(0.0707957\pi\) |
−0.457979 | + | 0.888963i | \(0.651427\pi\) | |||||||
\(858\) | 2.01960 | + | 0.766978i | 0.0689481 | + | 0.0261842i | ||||
\(859\) | −5.78001 | + | 6.88834i | −0.197211 | + | 0.235027i | −0.855583 | − | 0.517666i | \(-0.826801\pi\) |
0.658372 | + | 0.752693i | \(0.271246\pi\) | |||||||
\(860\) | 18.7180 | + | 5.67770i | 0.638280 | + | 0.193608i | ||||
\(861\) | −0.0312376 | − | 0.424879i | −0.00106457 | − | 0.0144799i | ||||
\(862\) | 8.79864 | + | 32.8370i | 0.299683 | + | 1.11843i | ||||
\(863\) | 28.5036 | + | 7.63751i | 0.970273 | + | 0.259984i | 0.708943 | − | 0.705266i | \(-0.249172\pi\) |
0.261330 | + | 0.965250i | \(0.415839\pi\) | |||||||
\(864\) | −4.61383 | − | 2.39009i | −0.156966 | − | 0.0813125i | ||||
\(865\) | −5.83089 | − | 4.37382i | −0.198256 | − | 0.148714i | ||||
\(866\) | 17.6197 | − | 10.1727i | 0.598741 | − | 0.345683i | ||||
\(867\) | 25.7012 | − | 14.3668i | 0.872858 | − | 0.487921i | ||||
\(868\) | −0.814262 | + | 0.570153i | −0.0276379 | + | 0.0193522i | ||||
\(869\) | −9.69717 | + | 8.13689i | −0.328954 | + | 0.276025i | ||||
\(870\) | 16.0444 | − | 20.7822i | 0.543957 | − | 0.704583i | ||||
\(871\) | 2.92663 | + | 16.5977i | 0.0991651 | + | 0.562393i | ||||
\(872\) | −1.26464 | − | 2.71204i | −0.0428263 | − | 0.0918412i | ||||
\(873\) | 33.9683 | + | 10.1201i | 1.14965 | + | 0.342513i | ||||
\(874\) | 20.9952 | + | 10.2501i | 0.710174 | + | 0.346714i | ||||
\(875\) | 0.317415 | + | 1.92193i | 0.0107306 | + | 0.0649730i | ||||
\(876\) | −1.14256 | + | 11.2578i | −0.0386036 | + | 0.380367i | ||||
\(877\) | −27.2977 | − | 19.1141i | −0.921778 | − | 0.645436i | 0.0132869 | − | 0.999912i | \(-0.495771\pi\) |
−0.935065 | + | 0.354476i | \(0.884659\pi\) | |||||||
\(878\) | −10.1436 | + | 0.887451i | −0.342330 | + | 0.0299500i | ||||
\(879\) | 40.8411 | + | 29.4502i | 1.37754 | + | 0.993332i | ||||
\(880\) | 0.986415 | − | 2.45701i | 0.0332521 | − | 0.0828257i | ||||
\(881\) | 26.7707 | + | 15.4561i | 0.901929 | + | 0.520729i | 0.877825 | − | 0.478981i | \(-0.158994\pi\) |
0.0241032 | + | 0.999709i | \(0.492327\pi\) | |||||||
\(882\) | −4.84906 | − | 20.3389i | −0.163276 | − | 0.684846i | ||||
\(883\) | 31.7539 | + | 14.8071i | 1.06860 | + | 0.498298i | 0.875668 | − | 0.482913i | \(-0.160421\pi\) |
0.192936 | + | 0.981211i | \(0.438199\pi\) | |||||||
\(884\) | −0.0208690 | + | 0.00759571i | −0.000701902 | + | 0.000255471i | ||||
\(885\) | −5.73251 | + | 25.5012i | −0.192696 | + | 0.857214i | ||||
\(886\) | 2.68283 | − | 4.64680i | 0.0901316 | − | 0.156112i | ||||
\(887\) | −22.3311 | + | 15.6364i | −0.749805 | + | 0.525019i | −0.884882 | − | 0.465816i | \(-0.845761\pi\) |
0.135076 | + | 0.990835i | \(0.456872\pi\) | |||||||
\(888\) | 5.54012 | − | 0.897788i | 0.185914 | − | 0.0301278i | ||||
\(889\) | −1.94469 | + | 2.31759i | −0.0652229 | + | 0.0777296i | ||||
\(890\) | −6.05130 | − | 6.46068i | −0.202840 | − | 0.216562i | ||||
\(891\) | 6.38638 | + | 8.53080i | 0.213952 | + | 0.285792i | ||||
\(892\) | 14.6535 | − | 14.6535i | 0.490635 | − | 0.490635i | ||||
\(893\) | 17.6751 | − | 2.79246i | 0.591473 | − | 0.0934462i | ||||
\(894\) | 25.5176 | − | 6.45925i | 0.853435 | − | 0.216029i | ||||
\(895\) | −12.3311 | + | 19.8307i | −0.412182 | + | 0.662868i | ||||
\(896\) | −0.171584 | + | 0.0302549i | −0.00573223 | + | 0.00101075i | ||||
\(897\) | −9.23524 | + | 3.21693i | −0.308356 | + | 0.107410i | ||||
\(898\) | −13.3032 | − | 1.16388i | −0.443932 | − | 0.0388390i | ||||
\(899\) | −6.71599 | + | 38.0883i | −0.223991 | + | 1.27032i | ||||
\(900\) | 6.41942 | − | 13.5570i | 0.213981 | − | 0.451899i | ||||
\(901\) | 0.00446850 | + | 0.00773966i | 0.000148867 | + | 0.000257845i | ||||
\(902\) | −1.51494 | − | 0.706430i | −0.0504421 | − | 0.0235215i | ||||
\(903\) | −0.494433 | + | 2.59311i | −0.0164537 | + | 0.0862932i | ||||
\(904\) | −3.01288 | + | 1.73948i | −0.100207 | + | 0.0578544i | ||||
\(905\) | 6.66662 | + | 5.97616i | 0.221606 | + | 0.198654i | ||||
\(906\) | 2.20618 | + | 30.0076i | 0.0732956 | + | 0.996934i | ||||
\(907\) | −0.141257 | + | 1.61458i | −0.00469038 | + | 0.0536113i | −0.998179 | − | 0.0603186i | \(-0.980788\pi\) |
0.993489 | + | 0.113930i | \(0.0363439\pi\) | |||||||
\(908\) | −0.630539 | + | 0.0551650i | −0.0209252 | + | 0.00183071i | ||||
\(909\) | −23.9003 | − | 30.1441i | −0.792722 | − | 0.999817i | ||||
\(910\) | 0.399671 | − | 0.0931976i | 0.0132490 | − | 0.00308947i | ||||
\(911\) | 13.1393i | 0.435325i | 0.976024 | + | 0.217662i | \(0.0698432\pi\) | ||||
−0.976024 | + | 0.217662i | \(0.930157\pi\) | |||||||
\(912\) | 2.97211 | + | 6.94021i | 0.0984163 | + | 0.229813i | ||||
\(913\) | −5.02192 | − | 5.02192i | −0.166201 | − | 0.166201i | ||||
\(914\) | 17.2664 | + | 6.28445i | 0.571121 | + | 0.207871i | ||||
\(915\) | 8.31204 | − | 12.9627i | 0.274787 | − | 0.428533i | ||||
\(916\) | −7.42232 | − | 6.22807i | −0.245240 | − | 0.205781i | ||||
\(917\) | 1.83981 | + | 0.160962i | 0.0607557 | + | 0.00531544i | ||||
\(918\) | −0.107000 | − | 0.0234967i | −0.00353151 | − | 0.000775508i | ||||
\(919\) | 4.59694 | + | 2.65404i | 0.151639 | + | 0.0875488i | 0.573900 | − | 0.818926i | \(-0.305430\pi\) |
−0.422261 | + | 0.906474i | \(0.638763\pi\) | |||||||
\(920\) | 3.72873 | + | 11.3906i | 0.122933 | + | 0.375536i | ||||
\(921\) | −7.82437 | − | 11.5111i | −0.257822 | − | 0.379304i | ||||
\(922\) | 12.9609 | − | 27.7948i | 0.426846 | − | 0.915374i | ||||
\(923\) | 6.26133 | + | 1.67772i | 0.206094 | + | 0.0552228i | ||||
\(924\) | 0.343828 | + | 0.0972619i | 0.0113111 | + | 0.00319968i | ||||
\(925\) | 3.16133 | + | 15.8902i | 0.103944 | + | 0.522466i | ||||
\(926\) | 25.1276 | + | 29.9459i | 0.825744 | + | 0.984083i | ||||
\(927\) | −2.09270 | + | 1.38040i | −0.0687334 | + | 0.0453381i | ||||
\(928\) | −3.88828 | + | 5.55304i | −0.127639 | + | 0.182287i | ||||
\(929\) | −25.7304 | − | 9.36509i | −0.844186 | − | 0.307259i | −0.116519 | − | 0.993189i | \(-0.537173\pi\) |
−0.727668 | + | 0.685930i | \(0.759396\pi\) | |||||||
\(930\) | 0.898663 | + | 22.0780i | 0.0294683 | + | 0.723967i | ||||
\(931\) | −13.3282 | + | 27.3002i | −0.436815 | + | 0.894728i | ||||
\(932\) | 0.409058 | + | 0.409058i | 0.0133991 | + | 0.0133991i | ||||
\(933\) | −23.3620 | − | 28.6397i | −0.764839 | − | 0.937622i | ||||
\(934\) | −40.1927 | + | 7.08706i | −1.31515 | + | 0.231896i | ||||
\(935\) | 0.00668078 | − | 0.0554178i | 0.000218485 | − | 0.00181236i | ||||
\(936\) | −2.93845 | − | 1.16284i | −0.0960464 | − | 0.0380085i | ||||
\(937\) | −22.1246 | − | 31.5973i | −0.722780 | − | 1.03224i | −0.997497 | − | 0.0707120i | \(-0.977473\pi\) |
0.274716 | − | 0.961525i | \(-0.411416\pi\) | |||||||
\(938\) | 0.721489 | + | 2.69263i | 0.0235575 | + | 0.0879176i | ||||
\(939\) | 22.2033 | + | 22.8283i | 0.724577 | + | 0.744972i | ||||
\(940\) | 7.34327 | + | 5.50827i | 0.239511 | + | 0.179660i | ||||
\(941\) | 0.833897 | + | 2.29111i | 0.0271843 | + | 0.0746881i | 0.952542 | − | 0.304406i | \(-0.0984579\pi\) |
−0.925358 | + | 0.379094i | \(0.876236\pi\) | |||||||
\(942\) | 11.9656 | + | 0.166063i | 0.389859 | + | 0.00541062i | ||||
\(943\) | 7.30902 | − | 1.95845i | 0.238014 | − | 0.0637758i | ||||
\(944\) | 1.17190 | − | 6.64617i | 0.0381420 | − | 0.216314i | ||||
\(945\) | 1.91109 | + | 0.667733i | 0.0621677 | + | 0.0217213i | ||||
\(946\) | 7.93438 | + | 6.65774i | 0.257969 | + | 0.216462i | ||||
\(947\) | 32.7235 | − | 46.7340i | 1.06337 | − | 1.51865i | 0.224381 | − | 0.974502i | \(-0.427964\pi\) |
0.838989 | − | 0.544148i | \(-0.183147\pi\) | |||||||
\(948\) | 14.3490 | − | 11.7048i | 0.466033 | − | 0.380154i | ||||
\(949\) | 6.88192i | 0.223397i | ||||||||
\(950\) | −19.7154 | + | 9.28993i | −0.639652 | + | 0.301405i | ||||
\(951\) | 31.2450 | − | 7.90904i | 1.01319 | − | 0.256468i | ||||
\(952\) | −0.00332911 | + | 0.00155239i | −0.000107897 | + | 5.03133e-5i | ||||
\(953\) | −22.0061 | − | 15.4089i | −0.712849 | − | 0.499142i | 0.160010 | − | 0.987115i | \(-0.448847\pi\) |
−0.872859 | + | 0.487973i | \(0.837736\pi\) | |||||||
\(954\) | −0.255499 | + | 1.24577i | −0.00827210 | + | 0.0403334i | ||||
\(955\) | 43.6148 | − | 23.3136i | 1.41134 | − | 0.754409i | ||||
\(956\) | −8.92310 | − | 1.57338i | −0.288594 | − | 0.0508869i | ||||
\(957\) | 12.1353 | − | 6.78357i | 0.392280 | − | 0.219282i | ||||
\(958\) | −7.11890 | + | 26.5681i | −0.230001 | + | 0.858376i | ||||
\(959\) | −0.478097 | + | 0.174013i | −0.0154385 | + | 0.00561917i | ||||
\(960\) | −1.49268 | + | 3.57378i | −0.0481761 | + | 0.115343i | ||||
\(961\) | −0.774893 | − | 1.34215i | −0.0249965 | − | 0.0432953i | ||||
\(962\) | 3.29702 | − | 0.883433i | 0.106300 | − | 0.0284830i | ||||
\(963\) | 42.1014 | + | 21.0738i | 1.35670 | + | 0.679095i | ||||
\(964\) | 2.12097 | + | 2.52768i | 0.0683120 | + | 0.0814110i | ||||
\(965\) | 44.8213 | + | 5.40333i | 1.44285 | + | 0.173939i | ||||
\(966\) | −1.47532 | + | 0.663188i | −0.0474678 | + | 0.0213377i | ||||
\(967\) | −52.6123 | + | 24.5335i | −1.69190 | + | 0.788945i | −0.694300 | + | 0.719686i | \(0.744286\pi\) |
−0.997599 | + | 0.0692593i | \(0.977936\pi\) | |||||||
\(968\) | −6.78683 | + | 6.78683i | −0.218137 | + | 0.218137i | ||||
\(969\) | 0.0983951 | + | 0.125115i | 0.00316091 | + | 0.00401928i | ||||
\(970\) | 5.43582 | − | 25.8530i | 0.174534 | − | 0.830088i | ||||
\(971\) | −5.37226 | + | 14.7602i | −0.172404 | + | 0.473676i | −0.995559 | − | 0.0941410i | \(-0.969990\pi\) |
0.823155 | + | 0.567817i | \(0.192212\pi\) | |||||||
\(972\) | −9.16803 | − | 12.6074i | −0.294065 | − | 0.404383i | ||||
\(973\) | 0.213721 | + | 2.44284i | 0.00685157 | + | 0.0783138i | ||||
\(974\) | −15.5196 | + | 13.0225i | −0.497280 | + | 0.417267i | ||||
\(975\) | 3.05167 | − | 8.59708i | 0.0977316 | − | 0.275327i | ||||
\(976\) | −1.98797 | + | 3.44326i | −0.0636333 | + | 0.110216i | ||||
\(977\) | −13.9051 | + | 51.8947i | −0.444865 | + | 1.66026i | 0.271429 | + | 0.962458i | \(0.412504\pi\) |
−0.716294 | + | 0.697799i | \(0.754163\pi\) | |||||||
\(978\) | −23.1493 | − | 4.41392i | −0.740232 | − | 0.141142i | ||||
\(979\) | −1.60317 | − | 4.40469i | −0.0512377 | − | 0.140774i | ||||
\(980\) | −14.8112 | + | 4.84849i | −0.473127 | + | 0.154879i | ||||
\(981\) | 0.249131 | − | 8.97376i | 0.00795414 | − | 0.286510i | ||||
\(982\) | 12.9854 | + | 18.5450i | 0.414380 | + | 0.591796i | ||||
\(983\) | −1.82653 | + | 20.8773i | −0.0582571 | + | 0.665882i | 0.909783 | + | 0.415085i | \(0.136248\pi\) |
−0.968040 | + | 0.250797i | \(0.919307\pi\) | |||||||
\(984\) | 2.20153 | + | 1.06403i | 0.0701822 | + | 0.0339200i | ||||
\(985\) | −21.5519 | − | 23.0099i | −0.686699 | − | 0.733155i | ||||
\(986\) | −0.0488815 | + | 0.134301i | −0.00155670 | + | 0.00427701i | ||||
\(987\) | −0.634261 | + | 1.06419i | −0.0201888 | + | 0.0338735i | ||||
\(988\) | 2.22451 | + | 4.01679i | 0.0707712 | + | 0.127791i | ||||
\(989\) | −46.8871 | −1.49092 | ||||||||
\(990\) | 5.94557 | − | 5.26681i | 0.188963 | − | 0.167390i | ||||
\(991\) | 4.60305 | + | 26.1052i | 0.146221 | + | 0.829259i | 0.966379 | + | 0.257122i | \(0.0827743\pi\) |
−0.820158 | + | 0.572137i | \(0.806115\pi\) | |||||||
\(992\) | −0.497245 | − | 5.68353i | −0.0157875 | − | 0.180452i | ||||
\(993\) | −1.69625 | − | 10.4673i | −0.0538288 | − | 0.332170i | ||||
\(994\) | 1.05587 | + | 0.186178i | 0.0334901 | + | 0.00590522i | ||||
\(995\) | −14.7721 | + | 16.4788i | −0.468306 | + | 0.522413i | ||||
\(996\) | 7.24349 | + | 7.44738i | 0.229519 | + | 0.235979i | ||||
\(997\) | 23.9460 | − | 51.3523i | 0.758377 | − | 1.62634i | −0.0209924 | − | 0.999780i | \(-0.506683\pi\) |
0.779369 | − | 0.626565i | \(-0.215540\pi\) | |||||||
\(998\) | 15.6795 | − | 33.6248i | 0.496326 | − | 1.06438i | ||||
\(999\) | 16.0680 | + | 5.03090i | 0.508369 | + | 0.159171i |
(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 | 570.2.bi.a.23.18 | ✓ | 480 | |
3.2 | odd | 2 | inner | 570.2.bi.a.23.25 | yes | 480 | |
5.2 | odd | 4 | inner | 570.2.bi.a.137.32 | yes | 480 | |
15.2 | even | 4 | inner | 570.2.bi.a.137.6 | yes | 480 | |
19.5 | even | 9 | inner | 570.2.bi.a.233.6 | yes | 480 | |
57.5 | odd | 18 | inner | 570.2.bi.a.233.32 | yes | 480 | |
95.62 | odd | 36 | inner | 570.2.bi.a.347.25 | yes | 480 | |
285.62 | even | 36 | inner | 570.2.bi.a.347.18 | yes | 480 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
570.2.bi.a.23.18 | ✓ | 480 | 1.1 | even | 1 | trivial | |
570.2.bi.a.23.25 | yes | 480 | 3.2 | odd | 2 | inner | |
570.2.bi.a.137.6 | yes | 480 | 15.2 | even | 4 | inner | |
570.2.bi.a.137.32 | yes | 480 | 5.2 | odd | 4 | inner | |
570.2.bi.a.233.6 | yes | 480 | 19.5 | even | 9 | inner | |
570.2.bi.a.233.32 | yes | 480 | 57.5 | odd | 18 | inner | |
570.2.bi.a.347.18 | yes | 480 | 285.62 | even | 36 | inner | |
570.2.bi.a.347.25 | yes | 480 | 95.62 | odd | 36 | inner |