Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [690,2,Mod(31,690)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(690, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 0, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("690.31");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 690.m (of order \(11\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.50967773947\) |
Analytic rank: | \(0\) |
Dimension: | \(30\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{11})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 271.3 | ||
Character | \(\chi\) | \(=\) | 690.271 |
Dual form | 690.2.m.g.331.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).
\(n\) | \(277\) | \(461\) | \(511\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{6}{11}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.959493 | − | 0.281733i | −0.678464 | − | 0.199215i | ||||
\(3\) | −0.654861 | + | 0.755750i | −0.378084 | + | 0.436332i | ||||
\(4\) | 0.841254 | + | 0.540641i | 0.420627 | + | 0.270320i | ||||
\(5\) | −0.142315 | + | 0.989821i | −0.0636451 | + | 0.442662i | ||||
\(6\) | 0.841254 | − | 0.540641i | 0.343440 | − | 0.220716i | ||||
\(7\) | 1.68254 | + | 3.68425i | 0.635940 | + | 1.39251i | 0.903339 | + | 0.428928i | \(0.141109\pi\) |
−0.267399 | + | 0.963586i | \(0.586164\pi\) | |||||||
\(8\) | −0.654861 | − | 0.755750i | −0.231528 | − | 0.267198i | ||||
\(9\) | −0.142315 | − | 0.989821i | −0.0474383 | − | 0.329940i | ||||
\(10\) | 0.415415 | − | 0.909632i | 0.131366 | − | 0.287651i | ||||
\(11\) | −0.746018 | + | 0.219051i | −0.224933 | + | 0.0660462i | −0.392257 | − | 0.919856i | \(-0.628306\pi\) |
0.167324 | + | 0.985902i | \(0.446487\pi\) | |||||||
\(12\) | −0.959493 | + | 0.281733i | −0.276982 | + | 0.0813292i | ||||
\(13\) | −1.73977 | + | 3.80956i | −0.482525 | + | 1.05658i | 0.499236 | + | 0.866466i | \(0.333614\pi\) |
−0.981761 | + | 0.190117i | \(0.939113\pi\) | |||||||
\(14\) | −0.576412 | − | 4.00903i | −0.154053 | − | 1.07146i | ||||
\(15\) | −0.654861 | − | 0.755750i | −0.169084 | − | 0.195134i | ||||
\(16\) | 0.415415 | + | 0.909632i | 0.103854 | + | 0.227408i | ||||
\(17\) | 0.246954 | − | 0.158708i | 0.0598951 | − | 0.0384923i | −0.510351 | − | 0.859966i | \(-0.670484\pi\) |
0.570246 | + | 0.821474i | \(0.306848\pi\) | |||||||
\(18\) | −0.142315 | + | 0.989821i | −0.0335439 | + | 0.233303i | ||||
\(19\) | 1.50337 | + | 0.966158i | 0.344897 | + | 0.221652i | 0.701608 | − | 0.712563i | \(-0.252466\pi\) |
−0.356711 | + | 0.934215i | \(0.616102\pi\) | |||||||
\(20\) | −0.654861 | + | 0.755750i | −0.146431 | + | 0.168991i | ||||
\(21\) | −3.88620 | − | 1.14109i | −0.848038 | − | 0.249006i | ||||
\(22\) | 0.777512 | 0.165766 | ||||||||
\(23\) | 2.10059 | − | 4.31132i | 0.438004 | − | 0.898973i | ||||
\(24\) | 1.00000 | 0.204124 | ||||||||
\(25\) | −0.959493 | − | 0.281733i | −0.191899 | − | 0.0563465i | ||||
\(26\) | 2.74258 | − | 3.16510i | 0.537863 | − | 0.620727i | ||||
\(27\) | 0.841254 | + | 0.540641i | 0.161899 | + | 0.104046i | ||||
\(28\) | −0.576412 | + | 4.00903i | −0.108932 | + | 0.757636i | ||||
\(29\) | −2.37162 | + | 1.52415i | −0.440398 | + | 0.283027i | −0.741991 | − | 0.670410i | \(-0.766118\pi\) |
0.301593 | + | 0.953437i | \(0.402482\pi\) | |||||||
\(30\) | 0.415415 | + | 0.909632i | 0.0758441 | + | 0.166075i | ||||
\(31\) | −5.90838 | − | 6.81863i | −1.06118 | − | 1.22466i | −0.973542 | − | 0.228510i | \(-0.926615\pi\) |
−0.0876348 | − | 0.996153i | \(-0.527931\pi\) | |||||||
\(32\) | −0.142315 | − | 0.989821i | −0.0251579 | − | 0.174977i | ||||
\(33\) | 0.322990 | − | 0.707250i | 0.0562254 | − | 0.123116i | ||||
\(34\) | −0.281664 | + | 0.0827039i | −0.0483049 | + | 0.0141836i | ||||
\(35\) | −3.88620 | + | 1.14109i | −0.656887 | + | 0.192879i | ||||
\(36\) | 0.415415 | − | 0.909632i | 0.0692358 | − | 0.151605i | ||||
\(37\) | 1.01155 | + | 7.03551i | 0.166298 | + | 1.15663i | 0.886453 | + | 0.462818i | \(0.153162\pi\) |
−0.720155 | + | 0.693813i | \(0.755929\pi\) | |||||||
\(38\) | −1.17028 | − | 1.35057i | −0.189844 | − | 0.219092i | ||||
\(39\) | −1.73977 | − | 3.80956i | −0.278586 | − | 0.610018i | ||||
\(40\) | 0.841254 | − | 0.540641i | 0.133014 | − | 0.0854828i | ||||
\(41\) | 0.298907 | − | 2.07895i | 0.0466815 | − | 0.324677i | −0.953078 | − | 0.302726i | \(-0.902103\pi\) |
0.999759 | − | 0.0219507i | \(-0.00698767\pi\) | |||||||
\(42\) | 3.40730 | + | 2.18974i | 0.525757 | + | 0.337884i | ||||
\(43\) | −4.60514 | + | 5.31462i | −0.702277 | + | 0.810471i | −0.989058 | − | 0.147525i | \(-0.952869\pi\) |
0.286781 | + | 0.957996i | \(0.407415\pi\) | |||||||
\(44\) | −0.746018 | − | 0.219051i | −0.112466 | − | 0.0330231i | ||||
\(45\) | 1.00000 | 0.149071 | ||||||||
\(46\) | −3.23014 | + | 3.54488i | −0.476259 | + | 0.522664i | ||||
\(47\) | −4.14235 | −0.604224 | −0.302112 | − | 0.953272i | \(-0.597692\pi\) | ||||
−0.302112 | + | 0.953272i | \(0.597692\pi\) | |||||||
\(48\) | −0.959493 | − | 0.281733i | −0.138491 | − | 0.0406646i | ||||
\(49\) | −6.15871 | + | 7.10753i | −0.879816 | + | 1.01536i | ||||
\(50\) | 0.841254 | + | 0.540641i | 0.118971 | + | 0.0764582i | ||||
\(51\) | −0.0417772 | + | 0.290567i | −0.00584998 | + | 0.0406875i | ||||
\(52\) | −3.52319 | + | 2.26422i | −0.488579 | + | 0.313991i | ||||
\(53\) | 1.69935 | + | 3.72107i | 0.233424 | + | 0.511128i | 0.989706 | − | 0.143119i | \(-0.0457131\pi\) |
−0.756281 | + | 0.654247i | \(0.772986\pi\) | |||||||
\(54\) | −0.654861 | − | 0.755750i | −0.0891153 | − | 0.102844i | ||||
\(55\) | −0.110652 | − | 0.769598i | −0.0149202 | − | 0.103773i | ||||
\(56\) | 1.68254 | − | 3.68425i | 0.224839 | − | 0.492328i | ||||
\(57\) | −1.71467 | + | 0.503473i | −0.227114 | + | 0.0666867i | ||||
\(58\) | 2.70495 | − | 0.794245i | 0.355177 | − | 0.104289i | ||||
\(59\) | −3.75952 | + | 8.23221i | −0.489448 | + | 1.07174i | 0.490308 | + | 0.871549i | \(0.336884\pi\) |
−0.979756 | + | 0.200193i | \(0.935843\pi\) | |||||||
\(60\) | −0.142315 | − | 0.989821i | −0.0183728 | − | 0.127785i | ||||
\(61\) | −0.280885 | − | 0.324158i | −0.0359636 | − | 0.0415042i | 0.737483 | − | 0.675366i | \(-0.236014\pi\) |
−0.773446 | + | 0.633862i | \(0.781469\pi\) | |||||||
\(62\) | 3.74802 | + | 8.20701i | 0.475999 | + | 1.04229i | ||||
\(63\) | 3.40730 | − | 2.18974i | 0.429279 | − | 0.275881i | ||||
\(64\) | −0.142315 | + | 0.989821i | −0.0177894 | + | 0.123728i | ||||
\(65\) | −3.52319 | − | 2.26422i | −0.436998 | − | 0.280842i | ||||
\(66\) | −0.509162 | + | 0.587605i | −0.0626735 | + | 0.0723291i | ||||
\(67\) | −3.59690 | − | 1.05614i | −0.439431 | − | 0.129029i | 0.0545311 | − | 0.998512i | \(-0.482634\pi\) |
−0.493962 | + | 0.869484i | \(0.664452\pi\) | |||||||
\(68\) | 0.293555 | 0.0355987 | ||||||||
\(69\) | 1.88269 | + | 4.41084i | 0.226649 | + | 0.531002i | ||||
\(70\) | 4.05026 | 0.484099 | ||||||||
\(71\) | −9.31938 | − | 2.73642i | −1.10601 | − | 0.324753i | −0.322771 | − | 0.946477i | \(-0.604614\pi\) |
−0.783236 | + | 0.621724i | \(0.786433\pi\) | |||||||
\(72\) | −0.654861 | + | 0.755750i | −0.0771761 | + | 0.0890659i | ||||
\(73\) | 13.1960 | + | 8.48054i | 1.54447 | + | 0.992572i | 0.986695 | + | 0.162581i | \(0.0519818\pi\) |
0.557777 | + | 0.829991i | \(0.311655\pi\) | |||||||
\(74\) | 1.01155 | − | 7.03551i | 0.117591 | − | 0.817862i | ||||
\(75\) | 0.841254 | − | 0.540641i | 0.0971396 | − | 0.0624278i | ||||
\(76\) | 0.742372 | + | 1.62557i | 0.0851559 | + | 0.186465i | ||||
\(77\) | −2.06224 | − | 2.37995i | −0.235014 | − | 0.271221i | ||||
\(78\) | 0.596019 | + | 4.14540i | 0.0674858 | + | 0.469374i | ||||
\(79\) | −1.41045 | + | 3.08845i | −0.158688 | + | 0.347478i | −0.972230 | − | 0.234028i | \(-0.924809\pi\) |
0.813542 | + | 0.581506i | \(0.197536\pi\) | |||||||
\(80\) | −0.959493 | + | 0.281733i | −0.107275 | + | 0.0314987i | ||||
\(81\) | −0.959493 | + | 0.281733i | −0.106610 | + | 0.0313036i | ||||
\(82\) | −0.872506 | + | 1.91052i | −0.0963522 | + | 0.210982i | ||||
\(83\) | −0.601899 | − | 4.18630i | −0.0660670 | − | 0.459506i | −0.995821 | − | 0.0913251i | \(-0.970890\pi\) |
0.929754 | − | 0.368181i | \(-0.120019\pi\) | |||||||
\(84\) | −2.65236 | − | 3.06098i | −0.289396 | − | 0.333981i | ||||
\(85\) | 0.121947 | + | 0.267027i | 0.0132270 | + | 0.0289631i | ||||
\(86\) | 5.91590 | − | 3.80192i | 0.637928 | − | 0.409971i | ||||
\(87\) | 0.401206 | − | 2.79045i | 0.0430138 | − | 0.299168i | ||||
\(88\) | 0.654085 | + | 0.420355i | 0.0697257 | + | 0.0448100i | ||||
\(89\) | −4.76064 | + | 5.49407i | −0.504626 | + | 0.582370i | −0.949715 | − | 0.313117i | \(-0.898627\pi\) |
0.445088 | + | 0.895487i | \(0.353172\pi\) | |||||||
\(90\) | −0.959493 | − | 0.281733i | −0.101139 | − | 0.0296972i | ||||
\(91\) | −16.9626 | −1.77816 | ||||||||
\(92\) | 4.09801 | − | 2.49125i | 0.427247 | − | 0.259731i | ||||
\(93\) | 9.02235 | 0.935574 | ||||||||
\(94\) | 3.97456 | + | 1.16704i | 0.409944 | + | 0.120370i | ||||
\(95\) | −1.17028 | + | 1.35057i | −0.120068 | + | 0.138566i | ||||
\(96\) | 0.841254 | + | 0.540641i | 0.0858601 | + | 0.0551789i | ||||
\(97\) | 0.102356 | − | 0.711900i | 0.0103926 | − | 0.0722825i | −0.983965 | − | 0.178361i | \(-0.942920\pi\) |
0.994358 | + | 0.106079i | \(0.0338296\pi\) | |||||||
\(98\) | 7.91166 | − | 5.08452i | 0.799198 | − | 0.513614i | ||||
\(99\) | 0.322990 | + | 0.707250i | 0.0324617 | + | 0.0710813i | ||||
\(100\) | −0.654861 | − | 0.755750i | −0.0654861 | − | 0.0755750i | ||||
\(101\) | −1.53454 | − | 10.6729i | −0.152692 | − | 1.06200i | −0.911683 | − | 0.410895i | \(-0.865216\pi\) |
0.758990 | − | 0.651102i | \(-0.225693\pi\) | |||||||
\(102\) | 0.121947 | − | 0.267027i | 0.0120746 | − | 0.0264396i | ||||
\(103\) | −0.393736 | + | 0.115611i | −0.0387959 | + | 0.0113915i | −0.301073 | − | 0.953601i | \(-0.597345\pi\) |
0.262277 | + | 0.964993i | \(0.415527\pi\) | |||||||
\(104\) | 4.01838 | − | 1.17990i | 0.394035 | − | 0.115699i | ||||
\(105\) | 1.68254 | − | 3.68425i | 0.164199 | − | 0.359546i | ||||
\(106\) | −0.582173 | − | 4.04910i | −0.0565456 | − | 0.393283i | ||||
\(107\) | 7.38778 | + | 8.52595i | 0.714203 | + | 0.824235i | 0.990597 | − | 0.136810i | \(-0.0436849\pi\) |
−0.276394 | + | 0.961044i | \(0.589139\pi\) | |||||||
\(108\) | 0.415415 | + | 0.909632i | 0.0399733 | + | 0.0875294i | ||||
\(109\) | 14.4807 | − | 9.30618i | 1.38700 | − | 0.891370i | 0.387464 | − | 0.921885i | \(-0.373351\pi\) |
0.999534 | + | 0.0305148i | \(0.00971467\pi\) | |||||||
\(110\) | −0.110652 | + | 0.769598i | −0.0105502 | + | 0.0733783i | ||||
\(111\) | −5.97951 | − | 3.84280i | −0.567550 | − | 0.364742i | ||||
\(112\) | −2.65236 | + | 3.06098i | −0.250624 | + | 0.289236i | ||||
\(113\) | 1.43358 | + | 0.420937i | 0.134860 | + | 0.0395984i | 0.348466 | − | 0.937321i | \(-0.386703\pi\) |
−0.213606 | + | 0.976920i | \(0.568521\pi\) | |||||||
\(114\) | 1.78706 | 0.167374 | ||||||||
\(115\) | 3.96850 | + | 2.69278i | 0.370064 | + | 0.251103i | ||||
\(116\) | −2.81915 | −0.261751 | ||||||||
\(117\) | 4.01838 | + | 1.17990i | 0.371500 | + | 0.109082i | ||||
\(118\) | 5.92652 | − | 6.83957i | 0.545580 | − | 0.629633i | ||||
\(119\) | 1.00023 | + | 0.642807i | 0.0916907 | + | 0.0589260i | ||||
\(120\) | −0.142315 | + | 0.989821i | −0.0129915 | + | 0.0903579i | ||||
\(121\) | −8.74523 | + | 5.62022i | −0.795021 | + | 0.510929i | ||||
\(122\) | 0.178181 | + | 0.390162i | 0.0161317 | + | 0.0353236i | ||||
\(123\) | 1.37542 | + | 1.58732i | 0.124017 | + | 0.143124i | ||||
\(124\) | −1.28401 | − | 8.93051i | −0.115308 | − | 0.801984i | ||||
\(125\) | 0.415415 | − | 0.909632i | 0.0371558 | − | 0.0813600i | ||||
\(126\) | −3.88620 | + | 1.14109i | −0.346210 | + | 0.101656i | ||||
\(127\) | −2.03730 | + | 0.598205i | −0.180781 | + | 0.0530821i | −0.370870 | − | 0.928685i | \(-0.620941\pi\) |
0.190089 | + | 0.981767i | \(0.439122\pi\) | |||||||
\(128\) | 0.415415 | − | 0.909632i | 0.0367178 | − | 0.0804009i | ||||
\(129\) | −1.00079 | − | 6.96067i | −0.0881149 | − | 0.612853i | ||||
\(130\) | 2.74258 | + | 3.16510i | 0.240540 | + | 0.277598i | ||||
\(131\) | −0.578105 | − | 1.26587i | −0.0505093 | − | 0.110600i | 0.882695 | − | 0.469947i | \(-0.155727\pi\) |
−0.933204 | + | 0.359347i | \(0.883000\pi\) | |||||||
\(132\) | 0.654085 | − | 0.420355i | 0.0569308 | − | 0.0365872i | ||||
\(133\) | −1.03008 | + | 7.16439i | −0.0893196 | + | 0.621231i | ||||
\(134\) | 3.15365 | + | 2.02673i | 0.272434 | + | 0.175082i | ||||
\(135\) | −0.654861 | + | 0.755750i | −0.0563614 | + | 0.0650446i | ||||
\(136\) | −0.281664 | − | 0.0827039i | −0.0241525 | − | 0.00709180i | ||||
\(137\) | −8.01169 | −0.684485 | −0.342242 | − | 0.939612i | \(-0.611186\pi\) | ||||
−0.342242 | + | 0.939612i | \(0.611186\pi\) | |||||||
\(138\) | −0.563748 | − | 4.76258i | −0.0479894 | − | 0.405418i | ||||
\(139\) | 22.5693 | 1.91430 | 0.957151 | − | 0.289590i | \(-0.0935190\pi\) | ||||
0.957151 | + | 0.289590i | \(0.0935190\pi\) | |||||||
\(140\) | −3.88620 | − | 1.14109i | −0.328444 | − | 0.0964397i | ||||
\(141\) | 2.71266 | − | 3.13058i | 0.228447 | − | 0.263642i | ||||
\(142\) | 8.17094 | + | 5.25115i | 0.685690 | + | 0.440666i | ||||
\(143\) | 0.463412 | − | 3.22310i | 0.0387524 | − | 0.269529i | ||||
\(144\) | 0.841254 | − | 0.540641i | 0.0701045 | − | 0.0450534i | ||||
\(145\) | −1.17112 | − | 2.56438i | −0.0972558 | − | 0.212961i | ||||
\(146\) | −10.2722 | − | 11.8548i | −0.850133 | − | 0.981106i | ||||
\(147\) | −1.33842 | − | 9.30888i | −0.110391 | − | 0.767784i | ||||
\(148\) | −2.95271 | + | 6.46554i | −0.242711 | + | 0.531464i | ||||
\(149\) | 12.8431 | − | 3.77108i | 1.05215 | − | 0.308939i | 0.290463 | − | 0.956886i | \(-0.406191\pi\) |
0.761685 | + | 0.647947i | \(0.224372\pi\) | |||||||
\(150\) | −0.959493 | + | 0.281733i | −0.0783423 | + | 0.0230034i | ||||
\(151\) | 3.78765 | − | 8.29379i | 0.308234 | − | 0.674939i | −0.690598 | − | 0.723238i | \(-0.742653\pi\) |
0.998833 | + | 0.0482991i | \(0.0153801\pi\) | |||||||
\(152\) | −0.254325 | − | 1.76887i | −0.0206285 | − | 0.143474i | ||||
\(153\) | −0.192237 | − | 0.221854i | −0.0155415 | − | 0.0179358i | ||||
\(154\) | 1.30819 | + | 2.86455i | 0.105417 | + | 0.230832i | ||||
\(155\) | 7.59008 | − | 4.87785i | 0.609650 | − | 0.391798i | ||||
\(156\) | 0.596019 | − | 4.14540i | 0.0477197 | − | 0.331898i | ||||
\(157\) | 12.9304 | + | 8.30988i | 1.03196 | + | 0.663201i | 0.942986 | − | 0.332833i | \(-0.108005\pi\) |
0.0889748 | + | 0.996034i | \(0.471641\pi\) | |||||||
\(158\) | 2.22343 | − | 2.56598i | 0.176887 | − | 0.204138i | ||||
\(159\) | −3.92503 | − | 1.15249i | −0.311275 | − | 0.0913987i | ||||
\(160\) | 1.00000 | 0.0790569 | ||||||||
\(161\) | 19.4183 | + | 0.485125i | 1.53038 | + | 0.0382332i | ||||
\(162\) | 1.00000 | 0.0785674 | ||||||||
\(163\) | −10.4642 | − | 3.07257i | −0.819620 | − | 0.240662i | −0.155068 | − | 0.987904i | \(-0.549560\pi\) |
−0.664552 | + | 0.747242i | \(0.731378\pi\) | |||||||
\(164\) | 1.37542 | − | 1.58732i | 0.107402 | − | 0.123949i | ||||
\(165\) | 0.654085 | + | 0.420355i | 0.0509204 | + | 0.0327246i | ||||
\(166\) | −0.601899 | + | 4.18630i | −0.0467164 | + | 0.324920i | ||||
\(167\) | 1.54438 | − | 0.992513i | 0.119508 | − | 0.0768030i | −0.479521 | − | 0.877530i | \(-0.659190\pi\) |
0.599029 | + | 0.800727i | \(0.295553\pi\) | |||||||
\(168\) | 1.68254 | + | 3.68425i | 0.129811 | + | 0.284246i | ||||
\(169\) | −2.97279 | − | 3.43078i | −0.228676 | − | 0.263906i | ||||
\(170\) | −0.0417772 | − | 0.290567i | −0.00320416 | − | 0.0222854i | ||||
\(171\) | 0.742372 | − | 1.62557i | 0.0567706 | − | 0.124310i | ||||
\(172\) | −6.74739 | + | 1.98121i | −0.514484 | + | 0.151066i | ||||
\(173\) | 11.1622 | − | 3.27752i | 0.848647 | − | 0.249185i | 0.171638 | − | 0.985160i | \(-0.445094\pi\) |
0.677009 | + | 0.735975i | \(0.263276\pi\) | |||||||
\(174\) | −1.17112 | + | 2.56438i | −0.0887820 | + | 0.194406i | ||||
\(175\) | −0.576412 | − | 4.00903i | −0.0435727 | − | 0.303055i | ||||
\(176\) | −0.509162 | − | 0.587605i | −0.0383795 | − | 0.0442924i | ||||
\(177\) | −3.75952 | − | 8.23221i | −0.282583 | − | 0.618771i | ||||
\(178\) | 6.11565 | − | 3.93029i | 0.458388 | − | 0.294588i | ||||
\(179\) | −2.42001 | + | 16.8315i | −0.180880 | + | 1.25805i | 0.673808 | + | 0.738906i | \(0.264657\pi\) |
−0.854688 | + | 0.519142i | \(0.826252\pi\) | |||||||
\(180\) | 0.841254 | + | 0.540641i | 0.0627033 | + | 0.0402970i | ||||
\(181\) | 15.4585 | − | 17.8401i | 1.14902 | − | 1.32604i | 0.211800 | − | 0.977313i | \(-0.432068\pi\) |
0.937223 | − | 0.348730i | \(-0.113387\pi\) | |||||||
\(182\) | 16.2755 | + | 4.77892i | 1.20642 | + | 0.354237i | ||||
\(183\) | 0.428923 | 0.0317069 | ||||||||
\(184\) | −4.63388 | + | 1.23580i | −0.341614 | + | 0.0911041i | ||||
\(185\) | −7.10786 | −0.522580 | ||||||||
\(186\) | −8.65688 | − | 2.54189i | −0.634753 | − | 0.186380i | ||||
\(187\) | −0.149467 | + | 0.172494i | −0.0109301 | + | 0.0126140i | ||||
\(188\) | −3.48477 | − | 2.23952i | −0.254153 | − | 0.163334i | ||||
\(189\) | −0.576412 | + | 4.00903i | −0.0419278 | + | 0.291614i | ||||
\(190\) | 1.50337 | − | 0.966158i | 0.109066 | − | 0.0700925i | ||||
\(191\) | −1.24849 | − | 2.73381i | −0.0903377 | − | 0.197812i | 0.859070 | − | 0.511858i | \(-0.171043\pi\) |
−0.949408 | + | 0.314046i | \(0.898315\pi\) | |||||||
\(192\) | −0.654861 | − | 0.755750i | −0.0472605 | − | 0.0545415i | ||||
\(193\) | 0.641449 | + | 4.46138i | 0.0461725 | + | 0.321137i | 0.999797 | + | 0.0201387i | \(0.00641077\pi\) |
−0.953625 | + | 0.300998i | \(0.902680\pi\) | |||||||
\(194\) | −0.298775 | + | 0.654226i | −0.0214508 | + | 0.0469707i | ||||
\(195\) | 4.01838 | − | 1.17990i | 0.287762 | − | 0.0844947i | ||||
\(196\) | −9.02366 | + | 2.64958i | −0.644547 | + | 0.189256i | ||||
\(197\) | 3.88442 | − | 8.50570i | 0.276754 | − | 0.606006i | −0.719306 | − | 0.694694i | \(-0.755540\pi\) |
0.996060 | + | 0.0886874i | \(0.0282672\pi\) | |||||||
\(198\) | −0.110652 | − | 0.769598i | −0.00786366 | − | 0.0546930i | ||||
\(199\) | 14.1670 | + | 16.3496i | 1.00427 | + | 1.15899i | 0.987257 | + | 0.159136i | \(0.0508707\pi\) |
0.0170145 | + | 0.999855i | \(0.494584\pi\) | |||||||
\(200\) | 0.415415 | + | 0.909632i | 0.0293743 | + | 0.0643207i | ||||
\(201\) | 3.15365 | − | 2.02673i | 0.222441 | − | 0.142954i | ||||
\(202\) | −1.53454 | + | 10.6729i | −0.107970 | + | 0.750945i | ||||
\(203\) | −9.60566 | − | 6.17318i | −0.674185 | − | 0.433273i | ||||
\(204\) | −0.192237 | + | 0.221854i | −0.0134593 | + | 0.0155329i | ||||
\(205\) | 2.01525 | + | 0.591730i | 0.140751 | + | 0.0413282i | ||||
\(206\) | 0.410358 | 0.0285910 | ||||||||
\(207\) | −4.56639 | − | 1.46564i | −0.317386 | − | 0.101869i | ||||
\(208\) | −4.18803 | −0.290387 | ||||||||
\(209\) | −1.33318 | − | 0.391457i | −0.0922179 | − | 0.0270776i | ||||
\(210\) | −2.65236 | + | 3.06098i | −0.183030 | + | 0.211228i | ||||
\(211\) | −18.8611 | − | 12.1213i | −1.29845 | − | 0.834465i | −0.305411 | − | 0.952221i | \(-0.598794\pi\) |
−0.993043 | + | 0.117756i | \(0.962430\pi\) | |||||||
\(212\) | −0.582173 | + | 4.04910i | −0.0399838 | + | 0.278093i | ||||
\(213\) | 8.17094 | − | 5.25115i | 0.559864 | − | 0.359803i | ||||
\(214\) | −4.68648 | − | 10.2620i | −0.320361 | − | 0.701494i | ||||
\(215\) | −4.60514 | − | 5.31462i | −0.314068 | − | 0.362454i | ||||
\(216\) | −0.142315 | − | 0.989821i | −0.00968330 | − | 0.0673488i | ||||
\(217\) | 15.1804 | − | 33.2405i | 1.03052 | − | 2.25652i | ||||
\(218\) | −16.5160 | + | 4.84953i | −1.11860 | + | 0.328451i | ||||
\(219\) | −15.0507 | + | 4.41928i | −1.01703 | + | 0.298627i | ||||
\(220\) | 0.322990 | − | 0.707250i | 0.0217760 | − | 0.0476828i | ||||
\(221\) | 0.174964 | + | 1.21690i | 0.0117694 | + | 0.0818576i | ||||
\(222\) | 4.65466 | + | 5.37176i | 0.312400 | + | 0.360529i | ||||
\(223\) | −9.56806 | − | 20.9511i | −0.640725 | − | 1.40299i | −0.899443 | − | 0.437038i | \(-0.856027\pi\) |
0.258718 | − | 0.965953i | \(-0.416700\pi\) | |||||||
\(224\) | 3.40730 | − | 2.18974i | 0.227660 | − | 0.146308i | ||||
\(225\) | −0.142315 | + | 0.989821i | −0.00948766 | + | 0.0659881i | ||||
\(226\) | −1.25692 | − | 0.807772i | −0.0836089 | − | 0.0537322i | ||||
\(227\) | −3.27545 | + | 3.78007i | −0.217399 | + | 0.250892i | −0.853965 | − | 0.520330i | \(-0.825809\pi\) |
0.636566 | + | 0.771222i | \(0.280354\pi\) | |||||||
\(228\) | −1.71467 | − | 0.503473i | −0.113557 | − | 0.0333433i | ||||
\(229\) | 1.69592 | 0.112069 | 0.0560347 | − | 0.998429i | \(-0.482154\pi\) | ||||
0.0560347 | + | 0.998429i | \(0.482154\pi\) | |||||||
\(230\) | −3.04910 | − | 3.70175i | −0.201052 | − | 0.244086i | ||||
\(231\) | 3.14913 | 0.207197 | ||||||||
\(232\) | 2.70495 | + | 0.794245i | 0.177589 | + | 0.0521447i | ||||
\(233\) | −12.7354 | + | 14.6974i | −0.834323 | + | 0.962860i | −0.999727 | − | 0.0233657i | \(-0.992562\pi\) |
0.165404 | + | 0.986226i | \(0.447107\pi\) | |||||||
\(234\) | −3.52319 | − | 2.26422i | −0.230318 | − | 0.148017i | ||||
\(235\) | 0.589518 | − | 4.10019i | 0.0384559 | − | 0.267467i | ||||
\(236\) | −7.61338 | + | 4.89282i | −0.495589 | + | 0.318496i | ||||
\(237\) | −1.41045 | − | 3.08845i | −0.0916185 | − | 0.200617i | ||||
\(238\) | −0.778612 | − | 0.898566i | −0.0504699 | − | 0.0582454i | ||||
\(239\) | −1.48422 | − | 10.3230i | −0.0960061 | − | 0.667737i | −0.979818 | − | 0.199894i | \(-0.935940\pi\) |
0.883811 | − | 0.467843i | \(-0.154969\pi\) | |||||||
\(240\) | 0.415415 | − | 0.909632i | 0.0268149 | − | 0.0587165i | ||||
\(241\) | 16.8684 | − | 4.95301i | 1.08659 | − | 0.319051i | 0.311078 | − | 0.950385i | \(-0.399310\pi\) |
0.775512 | + | 0.631333i | \(0.217492\pi\) | |||||||
\(242\) | 9.97438 | − | 2.92874i | 0.641178 | − | 0.188267i | ||||
\(243\) | 0.415415 | − | 0.909632i | 0.0266489 | − | 0.0583529i | ||||
\(244\) | −0.0610420 | − | 0.424557i | −0.00390782 | − | 0.0271795i | ||||
\(245\) | −6.15871 | − | 7.10753i | −0.393466 | − | 0.454083i | ||||
\(246\) | −0.872506 | − | 1.91052i | −0.0556290 | − | 0.121810i | ||||
\(247\) | −6.29616 | + | 4.04630i | −0.400615 | + | 0.257460i | ||||
\(248\) | −1.28401 | + | 8.93051i | −0.0815349 | + | 0.567088i | ||||
\(249\) | 3.55795 | + | 2.28656i | 0.225476 | + | 0.144905i | ||||
\(250\) | −0.654861 | + | 0.755750i | −0.0414170 | + | 0.0477978i | ||||
\(251\) | 28.8648 | + | 8.47548i | 1.82193 | + | 0.534967i | 0.999429 | − | 0.0337932i | \(-0.0107588\pi\) |
0.822503 | + | 0.568761i | \(0.192577\pi\) | |||||||
\(252\) | 4.05026 | 0.255142 | ||||||||
\(253\) | −0.622680 | + | 3.67646i | −0.0391476 | + | 0.231137i | ||||
\(254\) | 2.12331 | 0.133228 | ||||||||
\(255\) | −0.281664 | − | 0.0827039i | −0.0176385 | − | 0.00517912i | ||||
\(256\) | −0.654861 | + | 0.755750i | −0.0409288 | + | 0.0472343i | ||||
\(257\) | 18.4803 | + | 11.8765i | 1.15277 | + | 0.740838i | 0.970188 | − | 0.242353i | \(-0.0779193\pi\) |
0.182579 | + | 0.983191i | \(0.441556\pi\) | |||||||
\(258\) | −1.00079 | + | 6.96067i | −0.0623066 | + | 0.433352i | ||||
\(259\) | −24.2186 | + | 15.5643i | −1.50487 | + | 0.967121i | ||||
\(260\) | −1.73977 | − | 3.80956i | −0.107896 | − | 0.236259i | ||||
\(261\) | 1.84615 | + | 2.13057i | 0.114274 | + | 0.131879i | ||||
\(262\) | 0.198050 | + | 1.37747i | 0.0122356 | + | 0.0851002i | ||||
\(263\) | −8.84525 | + | 19.3684i | −0.545421 | + | 1.19431i | 0.413466 | + | 0.910519i | \(0.364318\pi\) |
−0.958887 | + | 0.283787i | \(0.908409\pi\) | |||||||
\(264\) | −0.746018 | + | 0.219051i | −0.0459142 | + | 0.0134816i | ||||
\(265\) | −3.92503 | + | 1.15249i | −0.241113 | + | 0.0707971i | ||||
\(266\) | 3.00680 | − | 6.58397i | 0.184359 | − | 0.403689i | ||||
\(267\) | −1.03458 | − | 7.19570i | −0.0633156 | − | 0.440369i | ||||
\(268\) | −2.45491 | − | 2.83311i | −0.149957 | − | 0.173060i | ||||
\(269\) | 11.1174 | + | 24.3438i | 0.677841 | + | 1.48427i | 0.864914 | + | 0.501920i | \(0.167373\pi\) |
−0.187073 | + | 0.982346i | \(0.559900\pi\) | |||||||
\(270\) | 0.841254 | − | 0.540641i | 0.0511971 | − | 0.0329024i | ||||
\(271\) | −2.02076 | + | 14.0547i | −0.122753 | + | 0.853762i | 0.831663 | + | 0.555281i | \(0.187389\pi\) |
−0.954415 | + | 0.298482i | \(0.903520\pi\) | |||||||
\(272\) | 0.246954 | + | 0.158708i | 0.0149738 | + | 0.00962306i | ||||
\(273\) | 11.1081 | − | 12.8195i | 0.672295 | − | 0.775870i | ||||
\(274\) | 7.68716 | + | 2.25715i | 0.464398 | + | 0.136360i | ||||
\(275\) | 0.777512 | 0.0468858 | ||||||||
\(276\) | −0.800862 | + | 4.72849i | −0.0482062 | + | 0.284622i | ||||
\(277\) | 16.9832 | 1.02042 | 0.510211 | − | 0.860049i | \(-0.329567\pi\) | ||||
0.510211 | + | 0.860049i | \(0.329567\pi\) | |||||||
\(278\) | −21.6551 | − | 6.35850i | −1.29878 | − | 0.381358i | ||||
\(279\) | −5.90838 | + | 6.81863i | −0.353725 | + | 0.408221i | ||||
\(280\) | 3.40730 | + | 2.18974i | 0.203625 | + | 0.130862i | ||||
\(281\) | −2.58120 | + | 17.9526i | −0.153981 | + | 1.07096i | 0.755479 | + | 0.655173i | \(0.227404\pi\) |
−0.909460 | + | 0.415791i | \(0.863505\pi\) | |||||||
\(282\) | −3.48477 | + | 2.23952i | −0.207515 | + | 0.133362i | ||||
\(283\) | 0.781211 | + | 1.71061i | 0.0464382 | + | 0.101685i | 0.931429 | − | 0.363923i | \(-0.118563\pi\) |
−0.884991 | + | 0.465608i | \(0.845836\pi\) | |||||||
\(284\) | −6.36054 | − | 7.34046i | −0.377429 | − | 0.435576i | ||||
\(285\) | −0.254325 | − | 1.76887i | −0.0150649 | − | 0.104779i | ||||
\(286\) | −1.35269 | + | 2.96198i | −0.0799864 | + | 0.175146i | ||||
\(287\) | 8.16227 | − | 2.39666i | 0.481804 | − | 0.141470i | ||||
\(288\) | −0.959493 | + | 0.281733i | −0.0565387 | + | 0.0166013i | ||||
\(289\) | −7.02626 | + | 15.3854i | −0.413309 | + | 0.905021i | ||||
\(290\) | 0.401206 | + | 2.79045i | 0.0235596 | + | 0.163861i | ||||
\(291\) | 0.470989 | + | 0.543550i | 0.0276099 | + | 0.0318635i | ||||
\(292\) | 6.51623 | + | 14.2686i | 0.381334 | + | 0.835005i | ||||
\(293\) | −23.5717 | + | 15.1486i | −1.37707 | + | 0.884992i | −0.999165 | − | 0.0408512i | \(-0.986993\pi\) |
−0.377909 | + | 0.925843i | \(0.623357\pi\) | |||||||
\(294\) | −1.33842 | + | 9.30888i | −0.0780580 | + | 0.542905i | ||||
\(295\) | −7.61338 | − | 4.89282i | −0.443268 | − | 0.284871i | ||||
\(296\) | 4.65466 | − | 5.37176i | 0.270547 | − | 0.312227i | ||||
\(297\) | −0.746018 | − | 0.219051i | −0.0432883 | − | 0.0127106i | ||||
\(298\) | −13.3853 | −0.775390 | ||||||||
\(299\) | 12.7697 | + | 15.5030i | 0.738492 | + | 0.896564i | ||||
\(300\) | 1.00000 | 0.0577350 | ||||||||
\(301\) | −27.3287 | − | 8.02443i | −1.57520 | − | 0.462520i | ||||
\(302\) | −5.97085 | + | 6.89073i | −0.343584 | + | 0.396517i | ||||
\(303\) | 9.07098 | + | 5.82956i | 0.521114 | + | 0.334900i | ||||
\(304\) | −0.254325 | + | 1.76887i | −0.0145866 | + | 0.101452i | ||||
\(305\) | 0.360833 | − | 0.231893i | 0.0206612 | − | 0.0132782i | ||||
\(306\) | 0.121947 | + | 0.267027i | 0.00697125 | + | 0.0152649i | ||||
\(307\) | −8.52960 | − | 9.84369i | −0.486810 | − | 0.561809i | 0.458200 | − | 0.888849i | \(-0.348494\pi\) |
−0.945010 | + | 0.327040i | \(0.893949\pi\) | |||||||
\(308\) | −0.448168 | − | 3.11707i | −0.0255367 | − | 0.177612i | ||||
\(309\) | 0.170469 | − | 0.373275i | 0.00969763 | − | 0.0212349i | ||||
\(310\) | −8.65688 | + | 2.54189i | −0.491678 | + | 0.144370i | ||||
\(311\) | 28.6369 | − | 8.40856i | 1.62385 | − | 0.476806i | 0.661802 | − | 0.749679i | \(-0.269792\pi\) |
0.962050 | + | 0.272873i | \(0.0879739\pi\) | |||||||
\(312\) | −1.73977 | + | 3.80956i | −0.0984951 | + | 0.215674i | ||||
\(313\) | −0.571095 | − | 3.97205i | −0.0322802 | − | 0.224514i | 0.967295 | − | 0.253654i | \(-0.0816323\pi\) |
−0.999575 | + | 0.0291397i | \(0.990723\pi\) | |||||||
\(314\) | −10.0655 | − | 11.6162i | −0.568029 | − | 0.655540i | ||||
\(315\) | 1.68254 | + | 3.68425i | 0.0948003 | + | 0.207584i | ||||
\(316\) | −2.85629 | + | 1.83562i | −0.160679 | + | 0.103262i | ||||
\(317\) | −4.05714 | + | 28.2180i | −0.227871 | + | 1.58488i | 0.479179 | + | 0.877717i | \(0.340935\pi\) |
−0.707050 | + | 0.707164i | \(0.749974\pi\) | |||||||
\(318\) | 3.44135 | + | 2.21162i | 0.192981 | + | 0.124021i | ||||
\(319\) | 1.43540 | − | 1.65654i | 0.0803671 | − | 0.0927486i | ||||
\(320\) | −0.959493 | − | 0.281733i | −0.0536373 | − | 0.0157493i | ||||
\(321\) | −11.2814 | −0.629669 | ||||||||
\(322\) | −18.4951 | − | 5.93624i | −1.03069 | − | 0.330814i | ||||
\(323\) | 0.524600 | 0.0291895 | ||||||||
\(324\) | −0.959493 | − | 0.281733i | −0.0533052 | − | 0.0156518i | ||||
\(325\) | 2.74258 | − | 3.16510i | 0.152131 | − | 0.175568i | ||||
\(326\) | 9.17469 | + | 5.89622i | 0.508139 | + | 0.326561i | ||||
\(327\) | −2.44970 | + | 17.0380i | −0.135469 | + | 0.942205i | ||||
\(328\) | −1.76691 | + | 1.13552i | −0.0975610 | + | 0.0626987i | ||||
\(329\) | −6.96967 | − | 15.2614i | −0.384250 | − | 0.841391i | ||||
\(330\) | −0.509162 | − | 0.587605i | −0.0280285 | − | 0.0323466i | ||||
\(331\) | 1.08707 | + | 7.56074i | 0.0597508 | + | 0.415576i | 0.997641 | + | 0.0686443i | \(0.0218673\pi\) |
−0.937890 | + | 0.346932i | \(0.887224\pi\) | |||||||
\(332\) | 1.75693 | − | 3.84715i | 0.0964243 | − | 0.211140i | ||||
\(333\) | 6.81994 | − | 2.00252i | 0.373730 | − | 0.109737i | ||||
\(334\) | −1.76145 | + | 0.517207i | −0.0963820 | + | 0.0283003i | ||||
\(335\) | 1.55729 | − | 3.40998i | 0.0850836 | − | 0.186307i | ||||
\(336\) | −0.576412 | − | 4.00903i | −0.0314459 | − | 0.218711i | ||||
\(337\) | −1.41217 | − | 1.62973i | −0.0769259 | − | 0.0887773i | 0.715982 | − | 0.698119i | \(-0.245979\pi\) |
−0.792908 | + | 0.609342i | \(0.791434\pi\) | |||||||
\(338\) | 1.88581 | + | 4.12935i | 0.102574 | + | 0.224607i | ||||
\(339\) | −1.25692 | + | 0.807772i | −0.0682664 | + | 0.0438721i | ||||
\(340\) | −0.0417772 | + | 0.290567i | −0.00226569 | + | 0.0157582i | ||||
\(341\) | 5.90138 | + | 3.79259i | 0.319578 | + | 0.205380i | ||||
\(342\) | −1.17028 | + | 1.35057i | −0.0632813 | + | 0.0730305i | ||||
\(343\) | −9.34479 | − | 2.74388i | −0.504571 | − | 0.148155i | ||||
\(344\) | 7.03225 | 0.379153 | ||||||||
\(345\) | −4.63388 | + | 1.23580i | −0.249480 | + | 0.0665330i | ||||
\(346\) | −11.6334 | −0.625418 | ||||||||
\(347\) | −5.53220 | − | 1.62440i | −0.296984 | − | 0.0872024i | 0.129846 | − | 0.991534i | \(-0.458552\pi\) |
−0.426830 | + | 0.904332i | \(0.640370\pi\) | |||||||
\(348\) | 1.84615 | − | 2.13057i | 0.0989639 | − | 0.114210i | ||||
\(349\) | 16.0806 | + | 10.3344i | 0.860777 | + | 0.553188i | 0.894919 | − | 0.446229i | \(-0.147233\pi\) |
−0.0341416 | + | 0.999417i | \(0.510870\pi\) | |||||||
\(350\) | −0.576412 | + | 4.00903i | −0.0308105 | + | 0.214292i | ||||
\(351\) | −3.52319 | + | 2.26422i | −0.188054 | + | 0.120855i | ||||
\(352\) | 0.322990 | + | 0.707250i | 0.0172154 | + | 0.0376966i | ||||
\(353\) | 10.5755 | + | 12.2048i | 0.562877 | + | 0.649594i | 0.963834 | − | 0.266502i | \(-0.0858680\pi\) |
−0.400958 | + | 0.916097i | \(0.631323\pi\) | |||||||
\(354\) | 1.28796 | + | 8.95793i | 0.0684541 | + | 0.476108i | ||||
\(355\) | 4.03485 | − | 8.83509i | 0.214148 | − | 0.468918i | ||||
\(356\) | −6.97522 | + | 2.04811i | −0.369686 | + | 0.108550i | ||||
\(357\) | −1.14081 | + | 0.334972i | −0.0603781 | + | 0.0177286i | ||||
\(358\) | 7.06397 | − | 15.4679i | 0.373343 | − | 0.817506i | ||||
\(359\) | −1.31708 | − | 9.16049i | −0.0695128 | − | 0.483472i | −0.994605 | − | 0.103731i | \(-0.966922\pi\) |
0.925093 | − | 0.379742i | \(-0.123987\pi\) | |||||||
\(360\) | −0.654861 | − | 0.755750i | −0.0345142 | − | 0.0398315i | ||||
\(361\) | −6.56622 | − | 14.3780i | −0.345591 | − | 0.756738i | ||||
\(362\) | −19.8585 | + | 12.7623i | −1.04374 | + | 0.670770i | ||||
\(363\) | 1.47943 | − | 10.2897i | 0.0776500 | − | 0.540067i | ||||
\(364\) | −14.2699 | − | 9.17068i | −0.747943 | − | 0.480674i | ||||
\(365\) | −10.2722 | + | 11.8548i | −0.537672 | + | 0.620506i | ||||
\(366\) | −0.411548 | − | 0.120841i | −0.0215120 | − | 0.00631648i | ||||
\(367\) | −34.2323 | −1.78691 | −0.893455 | − | 0.449153i | \(-0.851726\pi\) | ||||
−0.893455 | + | 0.449153i | \(0.851726\pi\) | |||||||
\(368\) | 4.79434 | + | 0.119776i | 0.249922 | + | 0.00624377i | ||||
\(369\) | −2.10032 | −0.109339 | ||||||||
\(370\) | 6.81994 | + | 2.00252i | 0.354552 | + | 0.104106i | ||||
\(371\) | −10.8501 | + | 12.5217i | −0.563309 | + | 0.650093i | ||||
\(372\) | 7.59008 | + | 4.87785i | 0.393527 | + | 0.252905i | ||||
\(373\) | −3.30591 | + | 22.9931i | −0.171173 | + | 1.19054i | 0.705237 | + | 0.708972i | \(0.250841\pi\) |
−0.876410 | + | 0.481565i | \(0.840069\pi\) | |||||||
\(374\) | 0.192010 | − | 0.123397i | 0.00992858 | − | 0.00638071i | ||||
\(375\) | 0.415415 | + | 0.909632i | 0.0214519 | + | 0.0469732i | ||||
\(376\) | 2.71266 | + | 3.13058i | 0.139895 | + | 0.161447i | ||||
\(377\) | −1.68026 | − | 11.6865i | −0.0865379 | − | 0.601885i | ||||
\(378\) | 1.68254 | − | 3.68425i | 0.0865405 | − | 0.189497i | ||||
\(379\) | 30.8601 | − | 9.06133i | 1.58518 | − | 0.465449i | 0.633803 | − | 0.773494i | \(-0.281493\pi\) |
0.951372 | + | 0.308045i | \(0.0996747\pi\) | |||||||
\(380\) | −1.71467 | + | 0.503473i | −0.0879609 | + | 0.0258276i | ||||
\(381\) | 0.882054 | − | 1.93143i | 0.0451890 | − | 0.0989501i | ||||
\(382\) | 0.427714 | + | 2.97482i | 0.0218838 | + | 0.152205i | ||||
\(383\) | −19.8013 | − | 22.8520i | −1.01180 | − | 1.16768i | −0.985784 | − | 0.168020i | \(-0.946263\pi\) |
−0.0260178 | − | 0.999661i | \(-0.508283\pi\) | |||||||
\(384\) | 0.415415 | + | 0.909632i | 0.0211991 | + | 0.0464195i | ||||
\(385\) | 2.64921 | − | 1.70255i | 0.135016 | − | 0.0867698i | ||||
\(386\) | 0.641449 | − | 4.46138i | 0.0326489 | − | 0.227078i | ||||
\(387\) | 5.91590 | + | 3.80192i | 0.300722 | + | 0.193262i | ||||
\(388\) | 0.470989 | − | 0.543550i | 0.0239109 | − | 0.0275946i | ||||
\(389\) | −15.5167 | − | 4.55612i | −0.786728 | − | 0.231004i | −0.136396 | − | 0.990654i | \(-0.543552\pi\) |
−0.650332 | + | 0.759650i | \(0.725370\pi\) | |||||||
\(390\) | −4.18803 | −0.212069 | ||||||||
\(391\) | −0.165491 | − | 1.39808i | −0.00836923 | − | 0.0707039i | ||||
\(392\) | 9.40461 | 0.475005 | ||||||||
\(393\) | 1.33526 | + | 0.392068i | 0.0673550 | + | 0.0197772i | ||||
\(394\) | −6.12341 | + | 7.06679i | −0.308493 | + | 0.356020i | ||||
\(395\) | −2.85629 | − | 1.83562i | −0.143715 | − | 0.0923603i | ||||
\(396\) | −0.110652 | + | 0.769598i | −0.00556045 | + | 0.0386738i | ||||
\(397\) | 19.0274 | − | 12.2282i | 0.954957 | − | 0.613713i | 0.0323586 | − | 0.999476i | \(-0.489698\pi\) |
0.922598 | + | 0.385763i | \(0.126062\pi\) | |||||||
\(398\) | −8.98692 | − | 19.6786i | −0.450474 | − | 0.986399i | ||||
\(399\) | −4.73992 | − | 5.47016i | −0.237293 | − | 0.273851i | ||||
\(400\) | −0.142315 | − | 0.989821i | −0.00711574 | − | 0.0494911i | ||||
\(401\) | −11.5664 | + | 25.3269i | −0.577598 | + | 1.26476i | 0.365054 | + | 0.930986i | \(0.381051\pi\) |
−0.942652 | + | 0.333777i | \(0.891677\pi\) | |||||||
\(402\) | −3.59690 | + | 1.05614i | −0.179397 | + | 0.0526757i | ||||
\(403\) | 36.2552 | − | 10.6455i | 1.80600 | − | 0.530290i | ||||
\(404\) | 4.47929 | − | 9.80828i | 0.222853 | − | 0.487980i | ||||
\(405\) | −0.142315 | − | 0.989821i | −0.00707168 | − | 0.0491846i | ||||
\(406\) | 7.47738 | + | 8.62936i | 0.371096 | + | 0.428268i | ||||
\(407\) | −2.29577 | − | 5.02703i | −0.113797 | − | 0.249181i | ||||
\(408\) | 0.246954 | − | 0.158708i | 0.0122260 | − | 0.00785720i | ||||
\(409\) | 1.31801 | − | 9.16699i | 0.0651716 | − | 0.453278i | −0.930940 | − | 0.365173i | \(-0.881010\pi\) |
0.996111 | − | 0.0881051i | \(-0.0280811\pi\) | |||||||
\(410\) | −1.76691 | − | 1.13552i | −0.0872612 | − | 0.0560794i | ||||
\(411\) | 5.24654 | − | 6.05483i | 0.258793 | − | 0.298663i | ||||
\(412\) | −0.393736 | − | 0.115611i | −0.0193980 | − | 0.00569575i | ||||
\(413\) | −36.6550 | −1.80368 | ||||||||
\(414\) | 3.96850 | + | 2.69278i | 0.195041 | + | 0.132343i | ||||
\(415\) | 4.22935 | 0.207611 | ||||||||
\(416\) | 4.01838 | + | 1.17990i | 0.197017 | + | 0.0578495i | ||||
\(417\) | −14.7797 | + | 17.0567i | −0.723767 | + | 0.835271i | ||||
\(418\) | 1.16889 | + | 0.751200i | 0.0571723 | + | 0.0367424i | ||||
\(419\) | −0.395685 | + | 2.75205i | −0.0193305 | + | 0.134446i | −0.997201 | − | 0.0747630i | \(-0.976180\pi\) |
0.977871 | + | 0.209209i | \(0.0670891\pi\) | |||||||
\(420\) | 3.40730 | − | 2.18974i | 0.166259 | − | 0.106848i | ||||
\(421\) | −2.68536 | − | 5.88011i | −0.130876 | − | 0.286579i | 0.832837 | − | 0.553518i | \(-0.186715\pi\) |
−0.963713 | + | 0.266939i | \(0.913988\pi\) | |||||||
\(422\) | 14.6821 | + | 16.9441i | 0.714716 | + | 0.824826i | ||||
\(423\) | 0.589518 | + | 4.10019i | 0.0286633 | + | 0.199358i | ||||
\(424\) | 1.69935 | − | 3.72107i | 0.0825279 | − | 0.180711i | ||||
\(425\) | −0.281664 | + | 0.0827039i | −0.0136627 | + | 0.00401173i | ||||
\(426\) | −9.31938 | + | 2.73642i | −0.451526 | + | 0.132580i | ||||
\(427\) | 0.721679 | − | 1.58026i | 0.0349245 | − | 0.0764740i | ||||
\(428\) | 1.60552 | + | 11.1666i | 0.0776056 | + | 0.539759i | ||||
\(429\) | 2.13239 | + | 2.46090i | 0.102953 | + | 0.118814i | ||||
\(430\) | 2.92130 | + | 6.39676i | 0.140878 | + | 0.308479i | ||||
\(431\) | 16.3674 | − | 10.5187i | 0.788388 | − | 0.506666i | −0.0834197 | − | 0.996515i | \(-0.526584\pi\) |
0.871808 | + | 0.489848i | \(0.162948\pi\) | |||||||
\(432\) | −0.142315 | + | 0.989821i | −0.00684713 | + | 0.0476228i | ||||
\(433\) | 20.7724 | + | 13.3496i | 0.998256 | + | 0.641540i | 0.934328 | − | 0.356414i | \(-0.116001\pi\) |
0.0639281 | + | 0.997955i | \(0.479637\pi\) | |||||||
\(434\) | −23.9305 | + | 27.6172i | −1.14870 | + | 1.32567i | ||||
\(435\) | 2.70495 | + | 0.794245i | 0.129692 | + | 0.0380811i | ||||
\(436\) | 17.2132 | 0.824364 | ||||||||
\(437\) | 7.32339 | − | 4.45202i | 0.350325 | − | 0.212969i | ||||
\(438\) | 15.6861 | 0.749510 | ||||||||
\(439\) | −11.4425 | − | 3.35983i | −0.546122 | − | 0.160356i | −0.00297839 | − | 0.999996i | \(-0.500948\pi\) |
−0.543144 | + | 0.839640i | \(0.682766\pi\) | |||||||
\(440\) | −0.509162 | + | 0.587605i | −0.0242734 | + | 0.0280129i | ||||
\(441\) | 7.91166 | + | 5.08452i | 0.376746 | + | 0.242120i | ||||
\(442\) | 0.174964 | − | 1.21690i | 0.00832219 | − | 0.0578821i | ||||
\(443\) | −18.0120 | + | 11.5756i | −0.855775 | + | 0.549973i | −0.893371 | − | 0.449320i | \(-0.851666\pi\) |
0.0375959 | + | 0.999293i | \(0.488030\pi\) | |||||||
\(444\) | −2.95271 | − | 6.46554i | −0.140129 | − | 0.306841i | ||||
\(445\) | −4.76064 | − | 5.49407i | −0.225676 | − | 0.260444i | ||||
\(446\) | 3.27787 | + | 22.7981i | 0.155212 | + | 1.07952i | ||||
\(447\) | −5.56046 | + | 12.1757i | −0.263001 | + | 0.575891i | ||||
\(448\) | −3.88620 | + | 1.14109i | −0.183606 | + | 0.0539114i | ||||
\(449\) | 35.9807 | − | 10.5649i | 1.69804 | − | 0.498588i | 0.717772 | − | 0.696279i | \(-0.245162\pi\) |
0.980265 | + | 0.197690i | \(0.0633440\pi\) | |||||||
\(450\) | 0.415415 | − | 0.909632i | 0.0195829 | − | 0.0428805i | ||||
\(451\) | 0.232404 | + | 1.61641i | 0.0109435 | + | 0.0761136i | ||||
\(452\) | 0.978428 | + | 1.12917i | 0.0460214 | + | 0.0531115i | ||||
\(453\) | 3.78765 | + | 8.29379i | 0.177959 | + | 0.389676i | ||||
\(454\) | 4.20774 | − | 2.70415i | 0.197479 | − | 0.126912i | ||||
\(455\) | 2.41403 | − | 16.7899i | 0.113171 | − | 0.787125i | ||||
\(456\) | 1.50337 | + | 0.966158i | 0.0704018 | + | 0.0452445i | ||||
\(457\) | 7.68966 | − | 8.87434i | 0.359707 | − | 0.415124i | −0.546834 | − | 0.837241i | \(-0.684167\pi\) |
0.906542 | + | 0.422117i | \(0.138713\pi\) | |||||||
\(458\) | −1.62722 | − | 0.477795i | −0.0760350 | − | 0.0223259i | ||||
\(459\) | 0.293555 | 0.0137020 | ||||||||
\(460\) | 1.88269 | + | 4.41084i | 0.0877807 | + | 0.205656i | ||||
\(461\) | −25.2443 | −1.17575 | −0.587873 | − | 0.808953i | \(-0.700034\pi\) | ||||
−0.587873 | + | 0.808953i | \(0.700034\pi\) | |||||||
\(462\) | −3.02157 | − | 0.887212i | −0.140576 | − | 0.0412768i | ||||
\(463\) | 19.2732 | − | 22.2425i | 0.895704 | − | 1.03370i | −0.103533 | − | 0.994626i | \(-0.533015\pi\) |
0.999236 | − | 0.0390712i | \(-0.0124399\pi\) | |||||||
\(464\) | −2.37162 | − | 1.52415i | −0.110100 | − | 0.0707567i | ||||
\(465\) | −1.28401 | + | 8.93051i | −0.0595447 | + | 0.414143i | ||||
\(466\) | 16.3603 | − | 10.5141i | 0.757874 | − | 0.487056i | ||||
\(467\) | −3.93063 | − | 8.60687i | −0.181888 | − | 0.398279i | 0.796622 | − | 0.604477i | \(-0.206618\pi\) |
−0.978510 | + | 0.206199i | \(0.933891\pi\) | |||||||
\(468\) | 2.74258 | + | 3.16510i | 0.126776 | + | 0.146307i | ||||
\(469\) | −2.16082 | − | 15.0289i | −0.0997776 | − | 0.693968i | ||||
\(470\) | −1.72079 | + | 3.76802i | −0.0793743 | + | 0.173806i | ||||
\(471\) | −14.7478 | + | 4.33035i | −0.679544 | + | 0.199532i | ||||
\(472\) | 8.68345 | − | 2.54969i | 0.399688 | − | 0.117359i | ||||
\(473\) | 2.27135 | − | 4.97356i | 0.104437 | − | 0.228684i | ||||
\(474\) | 0.483198 | + | 3.36072i | 0.0221940 | + | 0.154363i | ||||
\(475\) | −1.17028 | − | 1.35057i | −0.0536960 | − | 0.0619684i | ||||
\(476\) | 0.493917 | + | 1.08153i | 0.0226387 | + | 0.0495717i | ||||
\(477\) | 3.44135 | − | 2.21162i | 0.157568 | − | 0.101263i | ||||
\(478\) | −1.48422 | + | 10.3230i | −0.0678866 | + | 0.472162i | ||||
\(479\) | −28.9976 | − | 18.6356i | −1.32493 | − | 0.851484i | −0.329246 | − | 0.944244i | \(-0.606795\pi\) |
−0.995688 | + | 0.0927604i | \(0.970431\pi\) | |||||||
\(480\) | −0.654861 | + | 0.755750i | −0.0298902 | + | 0.0344951i | ||||
\(481\) | −28.5621 | − | 8.38659i | −1.30232 | − | 0.382396i | ||||
\(482\) | −17.5805 | −0.800772 | ||||||||
\(483\) | −13.0829 | + | 14.3577i | −0.595293 | + | 0.653297i | ||||
\(484\) | −10.3955 | −0.472522 | ||||||||
\(485\) | 0.690087 | + | 0.202628i | 0.0313352 | + | 0.00920085i | ||||
\(486\) | −0.654861 | + | 0.755750i | −0.0297051 | + | 0.0342815i | ||||
\(487\) | −22.2993 | − | 14.3309i | −1.01048 | − | 0.649393i | −0.0729595 | − | 0.997335i | \(-0.523244\pi\) |
−0.937516 | + | 0.347942i | \(0.886881\pi\) | |||||||
\(488\) | −0.0610420 | + | 0.424557i | −0.00276324 | + | 0.0192188i | ||||
\(489\) | 9.17469 | − | 5.89622i | 0.414894 | − | 0.266636i | ||||
\(490\) | 3.90682 | + | 8.55473i | 0.176492 | + | 0.386463i | ||||
\(491\) | 26.4467 | + | 30.5211i | 1.19352 | + | 1.37740i | 0.907970 | + | 0.419035i | \(0.137632\pi\) |
0.285552 | + | 0.958363i | \(0.407823\pi\) | |||||||
\(492\) | 0.298907 | + | 2.07895i | 0.0134758 | + | 0.0937261i | ||||
\(493\) | −0.343786 | + | 0.752787i | −0.0154834 | + | 0.0339038i | ||||
\(494\) | 7.18110 | − | 2.10856i | 0.323093 | − | 0.0948686i | ||||
\(495\) | −0.746018 | + | 0.219051i | −0.0335310 | + | 0.00984559i | ||||
\(496\) | 3.74802 | − | 8.20701i | 0.168291 | − | 0.368506i | ||||
\(497\) | −5.59859 | − | 38.9390i | −0.251131 | − | 1.74665i | ||||
\(498\) | −2.76963 | − | 3.19633i | −0.124110 | − | 0.143231i | ||||
\(499\) | 9.54541 | + | 20.9015i | 0.427311 | + | 0.935681i | 0.993755 | + | 0.111581i | \(0.0355913\pi\) |
−0.566444 | + | 0.824100i | \(0.691681\pi\) | |||||||
\(500\) | 0.841254 | − | 0.540641i | 0.0376220 | − | 0.0241782i | ||||
\(501\) | −0.261263 | + | 1.81712i | −0.0116724 | + | 0.0811831i | ||||
\(502\) | −25.3078 | − | 16.2643i | −1.12954 | − | 0.725912i | ||||
\(503\) | 18.8691 | − | 21.7761i | 0.841330 | − | 0.970947i | −0.158535 | − | 0.987353i | \(-0.550677\pi\) |
0.999865 | + | 0.0164067i | \(0.00522264\pi\) | |||||||
\(504\) | −3.88620 | − | 1.14109i | −0.173105 | − | 0.0508282i | ||||
\(505\) | 10.7827 | 0.479823 | ||||||||
\(506\) | 1.63324 | − | 3.35211i | 0.0726062 | − | 0.149019i | ||||
\(507\) | 4.53958 | 0.201610 | ||||||||
\(508\) | −2.03730 | − | 0.598205i | −0.0903906 | − | 0.0265411i | ||||
\(509\) | −22.3329 | + | 25.7736i | −0.989890 | + | 1.14239i | −7.94231e−5 | 1.00000i | \(0.500025\pi\) | |
−0.989810 | + | 0.142393i | \(0.954520\pi\) | |||||||
\(510\) | 0.246954 | + | 0.158708i | 0.0109353 | + | 0.00702769i | ||||
\(511\) | −9.04165 | + | 62.8861i | −0.399979 | + | 2.78192i | ||||
\(512\) | 0.841254 | − | 0.540641i | 0.0371785 | − | 0.0238932i | ||||
\(513\) | 0.742372 | + | 1.62557i | 0.0327765 | + | 0.0717706i | ||||
\(514\) | −14.3857 | − | 16.6019i | −0.634525 | − | 0.732280i | ||||
\(515\) | −0.0584000 | − | 0.406181i | −0.00257341 | − | 0.0178985i | ||||
\(516\) | 2.92130 | − | 6.39676i | 0.128603 | − | 0.281601i | ||||
\(517\) | 3.09027 | − | 0.907384i | 0.135910 | − | 0.0399067i | ||||
\(518\) | 27.6225 | − | 8.11071i | 1.21366 | − | 0.356364i | ||||
\(519\) | −4.83271 | + | 10.5822i | −0.212132 | + | 0.464505i | ||||
\(520\) | 0.596019 | + | 4.14540i | 0.0261371 | + | 0.181788i | ||||
\(521\) | 18.4772 | + | 21.3239i | 0.809502 | + | 0.934215i | 0.998862 | − | 0.0476927i | \(-0.0151868\pi\) |
−0.189360 | + | 0.981908i | \(0.560641\pi\) | |||||||
\(522\) | −1.17112 | − | 2.56438i | −0.0512583 | − | 0.112240i | ||||
\(523\) | 27.9055 | − | 17.9338i | 1.22022 | − | 0.784190i | 0.237884 | − | 0.971294i | \(-0.423546\pi\) |
0.982340 | + | 0.187103i | \(0.0599099\pi\) | |||||||
\(524\) | 0.198050 | − | 1.37747i | 0.00865185 | − | 0.0601750i | ||||
\(525\) | 3.40730 | + | 2.18974i | 0.148707 | + | 0.0955679i | ||||
\(526\) | 13.9437 | − | 16.0918i | 0.607972 | − | 0.701638i | ||||
\(527\) | −2.54127 | − | 0.746183i | −0.110699 | − | 0.0325043i | ||||
\(528\) | 0.777512 | 0.0338369 | ||||||||
\(529\) | −14.1750 | − | 18.1127i | −0.616306 | − | 0.787507i | ||||
\(530\) | 4.09074 | 0.177690 | ||||||||
\(531\) | 8.68345 | + | 2.54969i | 0.376830 | + | 0.110647i | ||||
\(532\) | −4.73992 | + | 5.47016i | −0.205502 | + | 0.237162i | ||||
\(533\) | 7.39985 | + | 4.75559i | 0.320523 | + | 0.205988i | ||||
\(534\) | −1.03458 | + | 7.19570i | −0.0447709 | + | 0.311388i | ||||
\(535\) | −9.49056 | + | 6.09921i | −0.410313 | + | 0.263692i | ||||
\(536\) | 1.55729 | + | 3.40998i | 0.0672645 | + | 0.147289i | ||||
\(537\) | −11.1357 | − | 12.8512i | −0.480539 | − | 0.554571i | ||||
\(538\) | −3.80866 | − | 26.4898i | −0.164203 | − | 1.14206i | ||||
\(539\) | 3.03760 | − | 6.65141i | 0.130839 | − | 0.286497i | ||||
\(540\) | −0.959493 | + | 0.281733i | −0.0412900 | + | 0.0121238i | ||||
\(541\) | 6.31082 | − | 1.85302i | 0.271323 | − | 0.0796677i | −0.143241 | − | 0.989688i | \(-0.545752\pi\) |
0.414564 | + | 0.910020i | \(0.363934\pi\) | |||||||
\(542\) | 5.89857 | − | 12.9161i | 0.253365 | − | 0.554793i | ||||
\(543\) | 3.35946 | + | 23.3655i | 0.144168 | + | 1.00271i | ||||
\(544\) | −0.192237 | − | 0.221854i | −0.00824211 | − | 0.00951190i | ||||
\(545\) | 7.15063 | + | 15.6577i | 0.306300 | + | 0.670702i | ||||
\(546\) | −14.2699 | + | 9.17068i | −0.610693 | + | 0.392469i | ||||
\(547\) | −2.50549 | + | 17.4260i | −0.107127 | + | 0.745084i | 0.863475 | + | 0.504392i | \(0.168283\pi\) |
−0.970602 | + | 0.240692i | \(0.922626\pi\) | |||||||
\(548\) | −6.73986 | − | 4.33145i | −0.287913 | − | 0.185030i | ||||
\(549\) | −0.280885 | + | 0.324158i | −0.0119879 | + | 0.0138347i | ||||
\(550\) | −0.746018 | − | 0.219051i | −0.0318103 | − | 0.00934035i | ||||
\(551\) | −5.03799 | −0.214625 | ||||||||
\(552\) | 2.10059 | − | 4.31132i | 0.0894071 | − | 0.183502i | ||||
\(553\) | −13.7518 | −0.584784 | ||||||||
\(554\) | −16.2953 | − | 4.78472i | −0.692320 | − | 0.203283i | ||||
\(555\) | 4.65466 | − | 5.37176i | 0.197579 | − | 0.228019i | ||||
\(556\) | 18.9865 | + | 12.2019i | 0.805206 | + | 0.517475i | ||||
\(557\) | −0.00888742 | + | 0.0618133i | −0.000376572 | + | 0.00261912i | −0.990009 | − | 0.141005i | \(-0.954967\pi\) |
0.989632 | + | 0.143624i | \(0.0458757\pi\) | |||||||
\(558\) | 7.59008 | − | 4.87785i | 0.321314 | − | 0.206496i | ||||
\(559\) | −12.2345 | − | 26.7898i | −0.517464 | − | 1.13309i | ||||
\(560\) | −2.65236 | − | 3.06098i | −0.112083 | − | 0.129350i | ||||
\(561\) | −0.0324823 | − | 0.225919i | −0.00137140 | − | 0.00953832i | ||||
\(562\) | 7.53448 | − | 16.4982i | 0.317823 | − | 0.695935i | ||||
\(563\) | −13.9264 | + | 4.08916i | −0.586927 | + | 0.172337i | −0.561695 | − | 0.827344i | \(-0.689851\pi\) |
−0.0252321 | + | 0.999682i | \(0.508032\pi\) | |||||||
\(564\) | 3.97456 | − | 1.16704i | 0.167359 | − | 0.0491410i | ||||
\(565\) | −0.620672 | + | 1.35908i | −0.0261119 | + | 0.0571770i | ||||
\(566\) | −0.267631 | − | 1.86142i | −0.0112494 | − | 0.0782411i | ||||
\(567\) | −2.65236 | − | 3.06098i | −0.111389 | − | 0.128549i | ||||
\(568\) | 4.03485 | + | 8.83509i | 0.169299 | + | 0.370712i | ||||
\(569\) | 18.0938 | − | 11.6282i | 0.758530 | − | 0.487478i | −0.103315 | − | 0.994649i | \(-0.532945\pi\) |
0.861845 | + | 0.507171i | \(0.169309\pi\) | |||||||
\(570\) | −0.254325 | + | 1.76887i | −0.0106525 | + | 0.0740899i | ||||
\(571\) | −36.1179 | − | 23.2116i | −1.51149 | − | 0.971375i | −0.993232 | − | 0.116150i | \(-0.962945\pi\) |
−0.518257 | − | 0.855225i | \(-0.673419\pi\) | |||||||
\(572\) | 2.13239 | − | 2.46090i | 0.0891595 | − | 0.102896i | ||||
\(573\) | 2.88367 | + | 0.846721i | 0.120467 | + | 0.0353723i | ||||
\(574\) | −8.50686 | −0.355070 | ||||||||
\(575\) | −3.23014 | + | 3.54488i | −0.134706 | + | 0.147832i | ||||
\(576\) | 1.00000 | 0.0416667 | ||||||||
\(577\) | 22.4720 | + | 6.59836i | 0.935520 | + | 0.274693i | 0.713746 | − | 0.700405i | \(-0.246997\pi\) |
0.221774 | + | 0.975098i | \(0.428815\pi\) | |||||||
\(578\) | 11.0762 | − | 12.7826i | 0.460709 | − | 0.531687i | ||||
\(579\) | −3.79174 | − | 2.43681i | −0.157580 | − | 0.101270i | ||||
\(580\) | 0.401206 | − | 2.79045i | 0.0166592 | − | 0.115867i | ||||
\(581\) | 14.4106 | − | 9.26116i | 0.597854 | − | 0.384217i | ||||
\(582\) | −0.298775 | − | 0.654226i | −0.0123846 | − | 0.0271185i | ||||
\(583\) | −2.08285 | − | 2.40374i | −0.0862628 | − | 0.0995526i | ||||
\(584\) | −2.23236 | − | 15.5264i | −0.0923758 | − | 0.642488i | ||||
\(585\) | −1.73977 | + | 3.80956i | −0.0719306 | + | 0.157506i | ||||
\(586\) | 26.8847 | − | 7.89407i | 1.11060 | − | 0.326101i | ||||
\(587\) | 19.9340 | − | 5.85315i | 0.822765 | − | 0.241585i | 0.156859 | − | 0.987621i | \(-0.449863\pi\) |
0.665906 | + | 0.746036i | \(0.268045\pi\) | |||||||
\(588\) | 3.90682 | − | 8.55473i | 0.161114 | − | 0.352791i | ||||
\(589\) | −2.29461 | − | 15.9594i | −0.0945478 | − | 0.657594i | ||||
\(590\) | 5.92652 | + | 6.83957i | 0.243991 | + | 0.281580i | ||||
\(591\) | 3.88442 | + | 8.50570i | 0.159784 | + | 0.349878i | ||||
\(592\) | −5.97951 | + | 3.84280i | −0.245756 | + | 0.157938i | ||||
\(593\) | 4.61579 | − | 32.1035i | 0.189548 | − | 1.31833i | −0.643634 | − | 0.765334i | \(-0.722574\pi\) |
0.833182 | − | 0.553000i | \(-0.186517\pi\) | |||||||
\(594\) | 0.654085 | + | 0.420355i | 0.0268374 | + | 0.0172474i | ||||
\(595\) | −0.778612 | + | 0.898566i | −0.0319200 | + | 0.0368376i | ||||
\(596\) | 12.8431 | + | 3.77108i | 0.526074 | + | 0.154469i | ||||
\(597\) | −21.6336 | −0.885404 | ||||||||
\(598\) | −7.88474 | − | 18.4727i | −0.322431 | − | 0.755405i | ||||
\(599\) | 8.60216 | 0.351475 | 0.175737 | − | 0.984437i | \(-0.443769\pi\) | ||||
0.175737 | + | 0.984437i | \(0.443769\pi\) | |||||||
\(600\) | −0.959493 | − | 0.281733i | −0.0391711 | − | 0.0115017i | ||||
\(601\) | 2.22864 | − | 2.57198i | 0.0909079 | − | 0.104913i | −0.708473 | − | 0.705738i | \(-0.750616\pi\) |
0.799381 | + | 0.600825i | \(0.205161\pi\) | |||||||
\(602\) | 23.9609 | + | 15.3988i | 0.976575 | + | 0.627607i | ||||
\(603\) | −0.533502 | + | 3.71059i | −0.0217259 | + | 0.151107i | ||||
\(604\) | 7.67034 | − | 4.92943i | 0.312102 | − | 0.200575i | ||||
\(605\) | −4.31844 | − | 9.45606i | −0.175569 | − | 0.384443i | ||||
\(606\) | −7.06116 | − | 8.14901i | −0.286840 | − | 0.331031i | ||||
\(607\) | 4.31417 | + | 30.0057i | 0.175107 | + | 1.21790i | 0.867893 | + | 0.496752i | \(0.165474\pi\) |
−0.692786 | + | 0.721144i | \(0.743617\pi\) | |||||||
\(608\) | 0.742372 | − | 1.62557i | 0.0301072 | − | 0.0659255i | ||||
\(609\) | 10.9558 | − | 3.21690i | 0.443950 | − | 0.130355i | ||||
\(610\) | −0.411548 | + | 0.120841i | −0.0166631 | + | 0.00489273i | ||||
\(611\) | 7.20674 | − | 15.7806i | 0.291553 | − | 0.638413i | ||||
\(612\) | −0.0417772 | − | 0.290567i | −0.00168874 | − | 0.0117455i | ||||
\(613\) | −18.9354 | − | 21.8527i | −0.764795 | − | 0.882620i | 0.231119 | − | 0.972925i | \(-0.425761\pi\) |
−0.995914 | + | 0.0903050i | \(0.971216\pi\) | |||||||
\(614\) | 5.41081 | + | 11.8480i | 0.218362 | + | 0.478147i | ||||
\(615\) | −1.76691 | + | 1.13552i | −0.0712485 | + | 0.0457886i | ||||
\(616\) | −0.448168 | + | 3.11707i | −0.0180572 | + | 0.125590i | ||||
\(617\) | −3.09089 | − | 1.98639i | −0.124435 | − | 0.0799693i | 0.476943 | − | 0.878934i | \(-0.341745\pi\) |
−0.601377 | + | 0.798965i | \(0.705381\pi\) | |||||||
\(618\) | −0.268727 | + | 0.310128i | −0.0108098 | + | 0.0124752i | ||||
\(619\) | 32.6007 | + | 9.57244i | 1.31033 | + | 0.384749i | 0.860995 | − | 0.508613i | \(-0.169842\pi\) |
0.449338 | + | 0.893362i | \(0.351660\pi\) | |||||||
\(620\) | 9.02235 | 0.362346 | ||||||||
\(621\) | 4.09801 | − | 2.49125i | 0.164447 | − | 0.0999705i | ||||
\(622\) | −29.8459 | −1.19671 | ||||||||
\(623\) | −28.2514 | − | 8.29537i | −1.13187 | − | 0.332347i | ||||
\(624\) | 2.74258 | − | 3.16510i | 0.109791 | − | 0.126705i | ||||
\(625\) | 0.841254 | + | 0.540641i | 0.0336501 | + | 0.0216256i | ||||
\(626\) | −0.571095 | + | 3.97205i | −0.0228256 | + | 0.158755i | ||||
\(627\) | 1.16889 | − | 0.751200i | 0.0466810 | − | 0.0300000i | ||||
\(628\) | 6.38511 | + | 13.9814i | 0.254794 | + | 0.557920i | ||||
\(629\) | 1.36640 | + | 1.57691i | 0.0544818 | + | 0.0628753i | ||||
\(630\) | −0.576412 | − | 4.00903i | −0.0229648 | − | 0.159724i | ||||
\(631\) | −0.532139 | + | 1.16522i | −0.0211841 | + | 0.0463868i | −0.919928 | − | 0.392087i | \(-0.871753\pi\) |
0.898744 | + | 0.438473i | \(0.144481\pi\) | |||||||
\(632\) | 3.25774 | − | 0.956560i | 0.129586 | − | 0.0380499i | ||||
\(633\) | 21.5121 | − | 6.31652i | 0.855028 | − | 0.251059i | ||||
\(634\) | 11.8427 | − | 25.9319i | 0.470335 | − | 1.02989i | ||||
\(635\) | −0.302178 | − | 2.10170i | −0.0119916 | − | 0.0834033i | ||||
\(636\) | −2.67886 | − | 3.09157i | −0.106224 | − | 0.122589i | ||||
\(637\) | −16.3619 | − | 35.8275i | −0.648280 | − | 1.41954i | ||||
\(638\) | −1.84396 | + | 1.18504i | −0.0730031 | + | 0.0469162i | ||||
\(639\) | −1.38228 | + | 9.61396i | −0.0546821 | + | 0.380322i | ||||
\(640\) | 0.841254 | + | 0.540641i | 0.0332535 | + | 0.0213707i | ||||
\(641\) | 22.4504 | − | 25.9091i | 0.886736 | − | 1.02335i | −0.112822 | − | 0.993615i | \(-0.535989\pi\) |
0.999558 | − | 0.0297329i | \(-0.00946568\pi\) | |||||||
\(642\) | 10.8245 | + | 3.17835i | 0.427208 | + | 0.125440i | ||||
\(643\) | −7.61631 | −0.300358 | −0.150179 | − | 0.988659i | \(-0.547985\pi\) | ||||
−0.150179 | + | 0.988659i | \(0.547985\pi\) | |||||||
\(644\) | 16.0734 | + | 10.9064i | 0.633382 | + | 0.429774i | ||||
\(645\) | 7.03225 | 0.276894 | ||||||||
\(646\) | −0.503350 | − | 0.147797i | −0.0198040 | − | 0.00581499i | ||||
\(647\) | 22.5600 | − | 26.0356i | 0.886926 | − | 1.02357i | −0.112626 | − | 0.993637i | \(-0.535926\pi\) |
0.999552 | − | 0.0299294i | \(-0.00952826\pi\) | |||||||
\(648\) | 0.841254 | + | 0.540641i | 0.0330476 | + | 0.0212384i | ||||
\(649\) | 1.00140 | − | 6.96490i | 0.0393084 | − | 0.273396i | ||||
\(650\) | −3.52319 | + | 2.26422i | −0.138191 | + | 0.0888100i | ||||
\(651\) | 15.1804 | + | 33.2405i | 0.594969 | + | 1.30280i | ||||
\(652\) | −7.14190 | − | 8.24219i | −0.279698 | − | 0.322789i | ||||
\(653\) | 4.81788 | + | 33.5091i | 0.188538 | + | 1.31131i | 0.835796 | + | 0.549041i | \(0.185007\pi\) |
−0.647257 | + | 0.762272i | \(0.724084\pi\) | |||||||
\(654\) | 7.15063 | − | 15.6577i | 0.279612 | − | 0.612265i | ||||
\(655\) | 1.33526 | − | 0.392068i | 0.0521730 | − | 0.0153194i | ||||
\(656\) | 2.01525 | − | 0.591730i | 0.0786822 | − | 0.0231032i | ||||
\(657\) | 6.51623 | − | 14.2686i | 0.254223 | − | 0.556670i | ||||
\(658\) | 2.38770 | + | 16.6068i | 0.0930823 | + | 0.647402i | ||||
\(659\) | −16.5623 | − | 19.1139i | −0.645176 | − | 0.744573i | 0.335105 | − | 0.942181i | \(-0.391228\pi\) |
−0.980281 | + | 0.197608i | \(0.936683\pi\) | |||||||
\(660\) | 0.322990 | + | 0.707250i | 0.0125724 | + | 0.0275297i | ||||
\(661\) | −23.3071 | + | 14.9786i | −0.906542 | + | 0.582599i | −0.908724 | − | 0.417398i | \(-0.862942\pi\) |
0.00218129 | + | 0.999998i | \(0.499306\pi\) | |||||||
\(662\) | 1.08707 | − | 7.56074i | 0.0422502 | − | 0.293857i | ||||
\(663\) | −1.03425 | − | 0.664672i | −0.0401669 | − | 0.0258137i | ||||
\(664\) | −2.76963 | + | 3.19633i | −0.107483 | + | 0.124042i | ||||
\(665\) | −6.94487 | − | 2.03920i | −0.269311 | − | 0.0790767i | ||||
\(666\) | −7.10786 | −0.275424 | ||||||||
\(667\) | 1.58929 | + | 13.4264i | 0.0615375 | + | 0.519873i | ||||
\(668\) | 1.83581 | 0.0710296 | ||||||||
\(669\) | 22.0996 | + | 6.48901i | 0.854418 | + | 0.250880i | ||||
\(670\) | −2.45491 | + | 2.83311i | −0.0948413 | + | 0.109453i | ||||
\(671\) | 0.280552 | + | 0.180300i | 0.0108306 | + | 0.00696039i | ||||
\(672\) | −0.576412 | + | 4.00903i | −0.0222356 | + | 0.154652i | ||||
\(673\) | −4.79860 | + | 3.08387i | −0.184972 | + | 0.118875i | −0.629850 | − | 0.776717i | \(-0.716884\pi\) |
0.444877 | + | 0.895591i | \(0.353247\pi\) | |||||||
\(674\) | 0.895821 | + | 1.96157i | 0.0345057 | + | 0.0755570i | ||||
\(675\) | −0.654861 | − | 0.755750i | −0.0252056 | − | 0.0290888i | ||||
\(676\) | −0.646049 | − | 4.49337i | −0.0248480 | − | 0.172822i | ||||
\(677\) | −11.3646 | + | 24.8849i | −0.436775 | + | 0.956404i | 0.555404 | + | 0.831581i | \(0.312564\pi\) |
−0.992179 | + | 0.124823i | \(0.960164\pi\) | |||||||
\(678\) | 1.43358 | − | 0.420937i | 0.0550563 | − | 0.0161660i | ||||
\(679\) | 2.79503 | − | 0.820695i | 0.107263 | − | 0.0314954i | ||||
\(680\) | 0.121947 | − | 0.267027i | 0.00467645 | − | 0.0102400i | ||||
\(681\) | −0.711823 | − | 4.95084i | −0.0272771 | − | 0.189717i | ||||
\(682\) | −4.59384 | − | 5.30157i | −0.175907 | − | 0.203008i | ||||
\(683\) | 1.99302 | + | 4.36411i | 0.0762610 | + | 0.166988i | 0.943922 | − | 0.330167i | \(-0.107105\pi\) |
−0.867661 | + | 0.497155i | \(0.834378\pi\) | |||||||
\(684\) | 1.50337 | − | 0.966158i | 0.0574829 | − | 0.0369420i | ||||
\(685\) | 1.14018 | − | 7.93014i | 0.0435641 | − | 0.302995i | ||||
\(686\) | 8.19322 | + | 5.26546i | 0.312818 | + | 0.201036i | ||||
\(687\) | −1.11059 | + | 1.28169i | −0.0423716 | + | 0.0488995i | ||||
\(688\) | −6.74739 | − | 1.98121i | −0.257242 | − | 0.0755330i | ||||
\(689\) | −17.1321 | −0.652682 | ||||||||
\(690\) | 4.79434 | + | 0.119776i | 0.182517 | + | 0.00455981i | ||||
\(691\) | 32.2061 | 1.22518 | 0.612589 | − | 0.790402i | \(-0.290128\pi\) | ||||
0.612589 | + | 0.790402i | \(0.290128\pi\) | |||||||
\(692\) | 11.1622 | + | 3.27752i | 0.424323 | + | 0.124593i | ||||
\(693\) | −2.06224 | + | 2.37995i | −0.0783380 | + | 0.0904069i | ||||
\(694\) | 4.85046 | + | 3.11720i | 0.184121 | + | 0.118327i | ||||
\(695\) | −3.21194 | + | 22.3396i | −0.121836 | + | 0.847388i | ||||
\(696\) | −2.37162 | + | 1.52415i | −0.0898959 | + | 0.0577726i | ||||
\(697\) | −0.256128 | − | 0.560843i | −0.00970155 | − | 0.0212434i | ||||
\(698\) | −12.5177 | − | 14.4462i | −0.473803 | − | 0.546798i | ||||
\(699\) | −2.76766 | − | 19.2495i | −0.104683 | − | 0.728084i | ||||
\(700\) | 1.68254 | − | 3.68425i | 0.0635940 | − | 0.139251i | ||||
\(701\) | 18.6330 | − | 5.47115i | 0.703759 | − | 0.206642i | 0.0897766 | − | 0.995962i | \(-0.471385\pi\) |
0.613983 | + | 0.789320i | \(0.289567\pi\) | |||||||
\(702\) | 4.01838 | − | 1.17990i | 0.151664 | − | 0.0445326i | ||||
\(703\) | −5.27668 | + | 11.5543i | −0.199014 | + | 0.435779i | ||||
\(704\) | −0.110652 | − | 0.769598i | −0.00417034 | − | 0.0290053i | ||||
\(705\) | 2.71266 | + | 3.13058i | 0.102165 | + | 0.117904i | ||||
\(706\) | −6.70863 | − | 14.6898i | −0.252483 | − | 0.552860i | ||||
\(707\) | 36.7398 | − | 23.6112i | 1.38174 | − | 0.887992i | ||||
\(708\) | 1.28796 | − | 8.95793i | 0.0484043 | − | 0.336660i | ||||
\(709\) | 7.32959 | + | 4.71044i | 0.275269 | + | 0.176904i | 0.670990 | − | 0.741466i | \(-0.265869\pi\) |
−0.395722 | + | 0.918370i | \(0.629506\pi\) | |||||||
\(710\) | −6.36054 | + | 7.34046i | −0.238707 | + | 0.275483i | ||||
\(711\) | 3.25774 | + | 0.956560i | 0.122175 | + | 0.0358738i | ||||
\(712\) | 7.26969 | 0.272443 | ||||||||
\(713\) | −41.8084 | + | 11.1498i | −1.56574 | + | 0.417562i | ||||
\(714\) | 1.18897 | 0.0444962 | ||||||||
\(715\) | 3.12434 | + | 0.917390i | 0.116844 | + | 0.0343084i | ||||
\(716\) | −11.1357 | + | 12.8512i | −0.416159 | + | 0.480273i | ||||
\(717\) | 8.77354 | + | 5.63841i | 0.327654 | + | 0.210570i | ||||
\(718\) | −1.31708 | + | 9.16049i | −0.0491530 | + | 0.341867i | ||||
\(719\) | 17.6779 | − | 11.3609i | 0.659275 | − | 0.423691i | −0.167770 | − | 0.985826i | \(-0.553656\pi\) |
0.827045 | + | 0.562136i | \(0.190020\pi\) | |||||||
\(720\) | 0.415415 | + | 0.909632i | 0.0154816 | + | 0.0339000i | ||||
\(721\) | −1.08842 | − | 1.25610i | −0.0405347 | − | 0.0467796i | ||||
\(722\) | 2.24949 | + | 15.6455i | 0.0837172 | + | 0.582266i | ||||
\(723\) | −7.30322 | + | 15.9918i | −0.271610 | + | 0.594742i | ||||
\(724\) | 22.6496 | − | 6.65053i | 0.841766 | − | 0.247165i | ||||
\(725\) | 2.70495 | − | 0.794245i | 0.100459 | − | 0.0294975i | ||||
\(726\) | −4.31844 | + | 9.45606i | −0.160272 | + | 0.350947i | ||||
\(727\) | 1.15912 | + | 8.06182i | 0.0429892 | + | 0.298996i | 0.999961 | + | 0.00881597i | \(0.00280625\pi\) |
−0.956972 | + | 0.290180i | \(0.906285\pi\) | |||||||
\(728\) | 11.1081 | + | 12.8195i | 0.411695 | + | 0.475122i | ||||
\(729\) | 0.415415 | + | 0.909632i | 0.0153857 | + | 0.0336901i | ||||
\(730\) | 13.1960 | − | 8.48054i | 0.488405 | − | 0.313879i | ||||
\(731\) | −0.293787 | + | 2.04334i | −0.0108661 | + | 0.0755755i | ||||
\(732\) | 0.360833 | + | 0.231893i | 0.0133368 | + | 0.00857101i | ||||
\(733\) | 13.3927 | − | 15.4560i | 0.494670 | − | 0.570879i | −0.452438 | − | 0.891796i | \(-0.649446\pi\) |
0.947107 | + | 0.320917i | \(0.103991\pi\) | |||||||
\(734\) | 32.8456 | + | 9.64434i | 1.21235 | + | 0.355979i | ||||
\(735\) | 9.40461 | 0.346894 | ||||||||
\(736\) | −4.56639 | − | 1.46564i | −0.168319 | − | 0.0540244i | ||||
\(737\) | 2.91470 | 0.107364 | ||||||||
\(738\) | 2.01525 | + | 0.591730i | 0.0741822 | + | 0.0217819i | ||||
\(739\) | −26.9692 | + | 31.1241i | −0.992079 | + | 1.14492i | −0.00263607 | + | 0.999997i | \(0.500839\pi\) |
−0.989443 | + | 0.144924i | \(0.953706\pi\) | |||||||
\(740\) | −5.97951 | − | 3.84280i | −0.219811 | − | 0.141264i | ||||
\(741\) | 1.06512 | − | 7.40808i | 0.0391282 | − | 0.272143i | ||||
\(742\) | 13.9384 | − | 8.95764i | 0.511693 | − | 0.328845i | ||||
\(743\) | −4.72926 | − | 10.3556i | −0.173500 | − | 0.379911i | 0.802827 | − | 0.596212i | \(-0.203328\pi\) |
−0.976327 | + | 0.216301i | \(0.930601\pi\) | |||||||
\(744\) | −5.90838 | − | 6.81863i | −0.216612 | − | 0.249983i | ||||
\(745\) | 1.90493 | + | 13.2491i | 0.0697912 | + | 0.485408i | ||||
\(746\) | 9.64989 | − | 21.1303i | 0.353308 | − | 0.773636i | ||||
\(747\) | −4.05803 | + | 1.19155i | −0.148476 | + | 0.0435964i | ||||
\(748\) | −0.218997 | + | 0.0643033i | −0.00800732 | + | 0.00235116i | ||||
\(749\) | −18.9815 | + | 41.5636i | −0.693568 | + | 1.51870i | ||||
\(750\) | −0.142315 | − | 0.989821i | −0.00519660 | − | 0.0361432i | ||||
\(751\) | 5.73474 | + | 6.61824i | 0.209264 | + | 0.241503i | 0.850672 | − | 0.525696i | \(-0.176195\pi\) |
−0.641409 | + | 0.767199i | \(0.721650\pi\) | |||||||
\(752\) | −1.72079 | − | 3.76802i | −0.0627509 | − | 0.137405i | ||||
\(753\) | −25.3078 | + | 16.2643i | −0.922267 | + | 0.592705i | ||||
\(754\) | −1.68026 | + | 11.6865i | −0.0611916 | + | 0.425597i | ||||
\(755\) | 7.67034 | + | 4.92943i | 0.279152 | + | 0.179400i | ||||
\(756\) | −2.65236 | + | 3.06098i | −0.0964653 | + | 0.111327i | ||||
\(757\) | −0.706487 | − | 0.207443i | −0.0256777 | − | 0.00753965i | 0.268868 | − | 0.963177i | \(-0.413350\pi\) |
−0.294546 | + | 0.955637i | \(0.595168\pi\) | |||||||
\(758\) | −32.1629 | −1.16821 | ||||||||
\(759\) | −2.37071 | − | 2.87816i | −0.0860515 | − | 0.104471i | ||||
\(760\) | 1.78706 | 0.0648235 | ||||||||
\(761\) | 47.9202 | + | 14.0706i | 1.73711 | + | 0.510060i | 0.988273 | − | 0.152699i | \(-0.0487964\pi\) |
0.748833 | + | 0.662759i | \(0.230615\pi\) | |||||||
\(762\) | −1.39047 | + | 1.60469i | −0.0503715 | + | 0.0581318i | ||||
\(763\) | 58.6506 | + | 37.6924i | 2.12329 | + | 1.36456i | ||||
\(764\) | 0.427714 | − | 2.97482i | 0.0154742 | − | 0.107625i | ||||
\(765\) | 0.246954 | − | 0.158708i | 0.00892864 | − | 0.00573809i | ||||
\(766\) | 12.5611 | + | 27.5050i | 0.453851 | + | 0.993796i | ||||
\(767\) | −24.8204 | − | 28.6443i | −0.896214 | − | 1.03429i | ||||
\(768\) | −0.142315 | − | 0.989821i | −0.00513534 | − | 0.0357171i | ||||
\(769\) | 9.99779 | − | 21.8921i | 0.360529 | − | 0.789449i | −0.639261 | − | 0.768990i | \(-0.720760\pi\) |
0.999791 | − | 0.0204598i | \(-0.00651301\pi\) | |||||||
\(770\) | −3.02157 | + | 0.887212i | −0.108890 | + | 0.0319729i | ||||
\(771\) | −21.0777 | + | 6.18897i | −0.759094 | + | 0.222890i | ||||
\(772\) | −1.87238 | + | 4.09994i | −0.0673885 | + | 0.147560i | ||||
\(773\) | −2.55329 | − | 17.7585i | −0.0918356 | − | 0.638730i | −0.982802 | − | 0.184662i | \(-0.940881\pi\) |
0.890967 | − | 0.454069i | \(-0.150028\pi\) | |||||||
\(774\) | −4.60514 | − | 5.31462i | −0.165528 | − | 0.191030i | ||||
\(775\) | 3.74802 | + | 8.20701i | 0.134633 | + | 0.294805i | ||||
\(776\) | −0.605047 | + | 0.388840i | −0.0217199 | + | 0.0139585i | ||||
\(777\) | 4.09706 | − | 28.4957i | 0.146981 | − | 1.02228i | ||||
\(778\) | 13.6046 | + | 8.74312i | 0.487747 | + | 0.313456i | ||||
\(779\) | 2.45796 | − | 2.83664i | 0.0880656 | − | 0.101633i | ||||
\(780\) | 4.01838 | + | 1.17990i | 0.143881 | + | 0.0422473i | ||||
\(781\) | 7.55184 | 0.270226 | ||||||||
\(782\) | −0.235097 | + | 1.38807i | −0.00840705 | + | 0.0496373i | ||||
\(783\) | −2.81915 | −0.100748 | ||||||||
\(784\) | −9.02366 | − | 2.64958i | −0.322273 | − | 0.0946280i | ||||
\(785\) | −10.0655 | + | 11.6162i | −0.359253 | + | 0.414600i | ||||
\(786\) | −1.17072 | − | 0.752373i | −0.0417580 | − | 0.0268363i | ||||
\(787\) | −6.13129 | + | 42.6441i | −0.218557 | + | 1.52010i | 0.524813 | + | 0.851217i | \(0.324135\pi\) |
−0.743370 | + | 0.668880i | \(0.766774\pi\) | |||||||
\(788\) | 7.86632 | − | 5.05537i | 0.280226 | − | 0.180090i | ||||
\(789\) | −8.84525 | − | 19.3684i | −0.314899 | − | 0.689533i | ||||
\(790\) | 2.22343 | + | 2.56598i | 0.0791062 | + | 0.0912934i | ||||
\(791\) | 0.861218 | + | 5.98990i | 0.0306214 | + | 0.212976i | ||||
\(792\) | 0.322990 | − | 0.707250i | 0.0114770 | − | 0.0251310i | ||||
\(793\) | 1.72358 | − | 0.506087i | 0.0612060 | − | 0.0179717i | ||||
\(794\) | −21.7017 | + | 6.37219i | −0.770165 | + | 0.226141i | ||||
\(795\) | 1.69935 | − | 3.72107i | 0.0602699 | − | 0.131973i | ||||
\(796\) | 3.07878 | + | 21.4134i | 0.109125 | + | 0.758978i | ||||
\(797\) | −12.1222 | − | 13.9897i | −0.429389 | − | 0.495541i | 0.499286 | − | 0.866438i | \(-0.333596\pi\) |
−0.928674 | + | 0.370897i | \(0.879050\pi\) | |||||||
\(798\) | 3.00680 | + | 6.58397i | 0.106440 | + | 0.233070i | ||||
\(799\) | −1.02297 | + | 0.657423i | −0.0361901 | + | 0.0232579i | ||||
\(800\) | −0.142315 | + | 0.989821i | −0.00503159 | + | 0.0349955i | ||||
\(801\) | 6.11565 | + | 3.93029i | 0.216086 | + | 0.138870i | ||||
\(802\) | 18.2333 | − | 21.0423i | 0.643839 | − | 0.743030i | ||||
\(803\) | −11.7021 | − | 3.43604i | −0.412958 | − | 0.121255i | ||||
\(804\) | 3.74875 | 0.132208 | ||||||||
\(805\) | −3.24370 | + | 19.1516i | −0.114325 | + | 0.675006i | ||||
\(806\) | −37.7858 | −1.33095 | ||||||||
\(807\) | −25.6782 | − | 7.53979i | −0.903914 | − | 0.265413i | ||||
\(808\) | −7.06116 | + | 8.14901i | −0.248411 | + | 0.286681i | ||||
\(809\) | 3.49006 | + | 2.24293i | 0.122704 | + | 0.0788571i | 0.600553 | − | 0.799585i | \(-0.294947\pi\) |
−0.477849 | + | 0.878442i | \(0.658583\pi\) | |||||||
\(810\) | −0.142315 | + | 0.989821i | −0.00500043 | + | 0.0347788i | ||||
\(811\) | −8.29114 | + | 5.32839i | −0.291141 | + | 0.187105i | −0.678056 | − | 0.735011i | \(-0.737177\pi\) |
0.386915 | + | 0.922116i | \(0.373541\pi\) | |||||||
\(812\) | −4.74332 | − | 10.3864i | −0.166458 | − | 0.364492i | ||||
\(813\) | −9.29852 | − | 10.7311i | −0.326113 | − | 0.376355i | ||||
\(814\) | 0.786496 | + | 5.47020i | 0.0275667 | + | 0.191730i | ||||
\(815\) | 4.53051 | − | 9.92043i | 0.158697 | − | 0.347497i | ||||
\(816\) | −0.281664 | + | 0.0827039i | −0.00986020 | + | 0.00289522i | ||||
\(817\) | −12.0580 | + | 3.54055i | −0.421856 | + | 0.123868i | ||||
\(818\) | −3.84726 | + | 8.42433i | −0.134516 | + | 0.294550i | ||||
\(819\) | 2.41403 | + | 16.7899i | 0.0843530 | + | 0.586688i | ||||
\(820\) | 1.37542 | + | 1.58732i | 0.0480317 | + | 0.0554316i | ||||
\(821\) | −5.53334 | − | 12.1163i | −0.193115 | − | 0.422862i | 0.788161 | − | 0.615469i | \(-0.211033\pi\) |
−0.981276 | + | 0.192606i | \(0.938306\pi\) | |||||||
\(822\) | −6.73986 | + | 4.33145i | −0.235080 | + | 0.151077i | ||||
\(823\) | 1.32946 | − | 9.24661i | 0.0463421 | − | 0.322316i | −0.953443 | − | 0.301574i | \(-0.902488\pi\) |
0.999785 | − | 0.0207424i | \(-0.00660297\pi\) | |||||||
\(824\) | 0.345215 | + | 0.221856i | 0.0120261 | + | 0.00772873i | ||||
\(825\) | −0.509162 | + | 0.587605i | −0.0177268 | + | 0.0204578i | ||||
\(826\) | 35.1702 | + | 10.3269i | 1.22373 | + | 0.359319i | ||||
\(827\) | −46.9609 | −1.63299 | −0.816496 | − | 0.577351i | \(-0.804086\pi\) | ||||
−0.816496 | + | 0.577351i | \(0.804086\pi\) | |||||||
\(828\) | −3.04910 | − | 3.70175i | −0.105964 | − | 0.128645i | ||||
\(829\) | 18.1813 | 0.631464 | 0.315732 | − | 0.948848i | \(-0.397750\pi\) | ||||
0.315732 | + | 0.948848i | \(0.397750\pi\) | |||||||
\(830\) | −4.05803 | − | 1.19155i | −0.140856 | − | 0.0413591i | ||||
\(831\) | −11.1216 | + | 12.8351i | −0.385805 | + | 0.445243i | ||||
\(832\) | −3.52319 | − | 2.26422i | −0.122145 | − | 0.0784977i | ||||
\(833\) | −0.392898 | + | 2.73267i | −0.0136131 | + | 0.0946813i | ||||
\(834\) | 18.9865 | − | 12.2019i | 0.657448 | − | 0.422516i | ||||
\(835\) | 0.762623 | + | 1.66991i | 0.0263916 | + | 0.0577896i | ||||
\(836\) | −0.909904 | − | 1.05009i | −0.0314697 | − | 0.0363180i | ||||
\(837\) | −1.28401 | − | 8.93051i | −0.0443820 | − | 0.308684i | ||||
\(838\) | 1.15500 | − | 2.52910i | 0.0398988 | − | 0.0873661i | ||||
\(839\) | −35.0957 | + | 10.3050i | −1.21164 | + | 0.355769i | −0.824292 | − | 0.566164i | \(-0.808427\pi\) |
−0.387347 | + | 0.921934i | \(0.626609\pi\) | |||||||
\(840\) | −3.88620 | + | 1.14109i | −0.134087 | + | 0.0393714i | ||||
\(841\) | −8.74549 | + | 19.1500i | −0.301569 | + | 0.660343i | ||||
\(842\) | 0.919962 | + | 6.39848i | 0.0317040 | + | 0.220506i | ||||
\(843\) | −11.8774 | − | 13.7072i | −0.409078 | − | 0.472101i | ||||
\(844\) | −9.31371 | − | 20.3942i | −0.320591 | − | 0.701997i | ||||
\(845\) | 3.81894 | − | 2.45428i | 0.131375 | − | 0.0844298i | ||||
\(846\) | 0.589518 | − | 4.10019i | 0.0202680 | − | 0.140967i | ||||
\(847\) | −35.4205 | − | 22.7633i | −1.21706 | − | 0.782158i | ||||
\(848\) | −2.67886 | + | 3.09157i | −0.0919926 | + | 0.106165i | ||||
\(849\) | −1.80438 | − | 0.529814i | −0.0619262 | − | 0.0181832i | ||||
\(850\) | 0.293555 | 0.0100688 | ||||||||
\(851\) | 32.4572 | + | 10.4176i | 1.11262 | + | 0.357111i | ||||
\(852\) | 9.71282 | 0.332756 | ||||||||
\(853\) | −34.4691 | − | 10.1210i | −1.18020 | − | 0.346538i | −0.367949 | − | 0.929846i | \(-0.619940\pi\) |
−0.812251 | + | 0.583308i | \(0.801758\pi\) | |||||||
\(854\) | −1.13766 | + | 1.31292i | −0.0389298 | + | 0.0449274i | ||||
\(855\) | 1.50337 | + | 0.966158i | 0.0514142 | + | 0.0330419i | ||||
\(856\) | 1.60552 | − | 11.1666i | 0.0548755 | − | 0.381667i | ||||
\(857\) | −35.3087 | + | 22.6915i | −1.20612 | + | 0.775128i | −0.980005 | − | 0.198972i | \(-0.936240\pi\) |
−0.226117 | + | 0.974100i | \(0.572603\pi\) | |||||||
\(858\) | −1.35269 | − | 2.96198i | −0.0461802 | − | 0.101120i | ||||
\(859\) | −33.0845 | − | 38.1816i | −1.12883 | − | 1.30274i | −0.947658 | − | 0.319288i | \(-0.896556\pi\) |
−0.181172 | − | 0.983451i | \(-0.557989\pi\) | |||||||
\(860\) | −1.00079 | − | 6.96067i | −0.0341268 | − | 0.237357i | ||||
\(861\) | −3.53388 | + | 7.73811i | −0.120434 | + | 0.263714i | ||||
\(862\) | −18.6678 | + | 5.48137i | −0.635828 | + | 0.186696i | ||||
\(863\) | 26.3257 | − | 7.72991i | 0.896136 | − | 0.263129i | 0.198942 | − | 0.980011i | \(-0.436250\pi\) |
0.697194 | + | 0.716882i | \(0.254431\pi\) | |||||||
\(864\) | 0.415415 | − | 0.909632i | 0.0141327 | − | 0.0309463i | ||||
\(865\) | 1.65561 | + | 11.5150i | 0.0562925 | + | 0.391523i | ||||
\(866\) | −16.1699 | − | 18.6611i | −0.549476 | − | 0.634130i | ||||
\(867\) | −7.02626 | − | 15.3854i | −0.238624 | − | 0.522514i | ||||
\(868\) | 30.7418 | − | 19.7566i | 1.04344 | − | 0.670581i | ||||
\(869\) | 0.375693 | − | 2.61300i | 0.0127445 | − | 0.0886399i | ||||
\(870\) | −2.37162 | − | 1.52415i | −0.0804053 | − | 0.0516734i | ||||
\(871\) | 10.2812 | − | 11.8652i | 0.348366 | − | 0.402036i | ||||
\(872\) | −16.5160 | − | 4.84953i | −0.559301 | − | 0.164226i | ||||
\(873\) | −0.719220 | −0.0243419 | ||||||||
\(874\) | −8.28102 | + | 2.20844i | −0.280110 | + | 0.0747017i | ||||
\(875\) | 4.05026 | 0.136924 | ||||||||
\(876\) | −15.0507 | − | 4.41928i | −0.508516 | − | 0.149314i | ||||
\(877\) | −20.4102 | + | 23.5546i | −0.689202 | + | 0.795382i | −0.987251 | − | 0.159169i | \(-0.949119\pi\) |
0.298049 | + | 0.954551i | \(0.403664\pi\) | |||||||
\(878\) | 10.0325 | + | 6.44747i | 0.338579 | + | 0.217592i | ||||
\(879\) | 3.98763 | − | 27.7345i | 0.134499 | − | 0.935463i | ||||
\(880\) | 0.654085 | − | 0.420355i | 0.0220492 | − | 0.0141702i | ||||
\(881\) | −13.0936 | − | 28.6709i | −0.441134 | − | 0.965948i | −0.991389 | − | 0.130951i | \(-0.958197\pi\) |
0.550255 | − | 0.834997i | \(-0.314530\pi\) | |||||||
\(882\) | −6.15871 | − | 7.10753i | −0.207375 | − | 0.239323i | ||||
\(883\) | 4.29496 | + | 29.8721i | 0.144537 | + | 1.00528i | 0.924971 | + | 0.380039i | \(0.124089\pi\) |
−0.780434 | + | 0.625239i | \(0.785002\pi\) | |||||||
\(884\) | −0.510717 | + | 1.11832i | −0.0171773 | + | 0.0376130i | ||||
\(885\) | 8.68345 | − | 2.54969i | 0.291891 | − | 0.0857070i | ||||
\(886\) | 20.5436 | − | 6.03214i | 0.690176 | − | 0.202654i | ||||
\(887\) | −1.27981 | + | 2.80239i | −0.0429718 | + | 0.0940951i | −0.929900 | − | 0.367811i | \(-0.880107\pi\) |
0.886929 | + | 0.461907i | \(0.152834\pi\) | |||||||
\(888\) | 1.01155 | + | 7.03551i | 0.0339455 | + | 0.236096i | ||||
\(889\) | −5.63177 | − | 6.49941i | −0.188884 | − | 0.217983i | ||||
\(890\) | 3.01994 | + | 6.61274i | 0.101229 | + | 0.221660i | ||||
\(891\) | 0.654085 | − | 0.420355i | 0.0219127 | − | 0.0140824i | ||||
\(892\) | 3.27787 | − | 22.7981i | 0.109751 | − | 0.763337i | ||||
\(893\) | −6.22749 | − | 4.00217i | −0.208395 | − | 0.133927i | ||||
\(894\) | 8.76551 | − | 10.1159i | 0.293163 | − | 0.338328i | ||||
\(895\) | −16.3158 | − | 4.79075i | −0.545377 | − | 0.160137i | ||||
\(896\) | 4.05026 | 0.135310 | ||||||||
\(897\) | −20.0788 | − | 0.501627i | −0.670412 | − | 0.0167488i | ||||
\(898\) | −37.4997 | −1.25138 | ||||||||
\(899\) | 24.4050 | + | 7.16595i | 0.813952 | + | 0.238998i | ||||
\(900\) | −0.654861 | + | 0.755750i | −0.0218287 | + | 0.0251917i | ||||
\(901\) | 1.01022 | + | 0.649231i | 0.0336554 | + | 0.0216290i | ||||
\(902\) | 0.232404 | − | 1.61641i | 0.00773821 | − | 0.0538204i | ||||
\(903\) | 23.9609 | − | 15.3988i | 0.797370 | − | 0.512439i | ||||
\(904\) | −0.620672 | − | 1.35908i | −0.0206432 | − | 0.0452024i | ||||
\(905\) | 15.4585 | + | 17.8401i | 0.513859 | + | 0.593025i | ||||
\(906\) | −1.29759 | − | 9.02494i | −0.0431096 | − | 0.299834i | ||||
\(907\) | −3.08377 | + | 6.75251i | −0.102395 | + | 0.224213i | −0.953895 | − | 0.300141i | \(-0.902966\pi\) |
0.851500 | + | 0.524355i | \(0.175693\pi\) | |||||||
\(908\) | −4.79914 | + | 1.40916i | −0.159265 | + | 0.0467645i | ||||
\(909\) | −10.3459 | + | 3.03783i | −0.343152 | + | 0.100759i | ||||
\(910\) | −7.04652 | + | 15.4297i | −0.233590 | + | 0.511490i | ||||
\(911\) | −1.84103 | − | 12.8046i | −0.0609960 | − | 0.424237i | −0.997324 | − | 0.0731097i | \(-0.976708\pi\) |
0.936328 | − | 0.351127i | \(-0.114201\pi\) | |||||||
\(912\) | −1.17028 | − | 1.35057i | −0.0387517 | − | 0.0447219i | ||||
\(913\) | 1.36604 | + | 2.99121i | 0.0452093 | + | 0.0989945i | ||||
\(914\) | −9.87837 | + | 6.34844i | −0.326747 | + | 0.209988i | ||||
\(915\) | −0.0610420 | + | 0.424557i | −0.00201799 | + | 0.0140354i | ||||
\(916\) | 1.42670 | + | 0.916882i | 0.0471394 | + | 0.0302946i | ||||
\(917\) | 3.69111 | − | 4.25976i | 0.121891 | − | 0.140670i | ||||
\(918\) | −0.281664 | − | 0.0827039i | −0.00929629 | − | 0.00272964i | ||||
\(919\) | 9.52152 | 0.314086 | 0.157043 | − | 0.987592i | \(-0.449804\pi\) | ||||
0.157043 | + | 0.987592i | \(0.449804\pi\) | |||||||
\(920\) | −0.563748 | − | 4.76258i | −0.0185862 | − | 0.157018i | ||||
\(921\) | 13.0251 | 0.429190 | ||||||||
\(922\) | 24.2218 | + | 7.11215i | 0.797701 | + | 0.234226i | ||||
\(923\) | 26.6381 | − | 30.7420i | 0.876805 | − | 1.01189i | ||||
\(924\) | 2.64921 | + | 1.70255i | 0.0871528 | + | 0.0560097i | ||||
\(925\) | 1.01155 | − | 7.03551i | 0.0332597 | − | 0.231326i | ||||
\(926\) | −24.7590 | + | 15.9116i | −0.813631 | + | 0.522889i | ||||
\(927\) | 0.170469 | + | 0.373275i | 0.00559893 | + | 0.0122600i | ||||
\(928\) | 1.84615 | + | 2.13057i | 0.0606028 | + | 0.0699393i | ||||
\(929\) | 5.58270 | + | 38.8285i | 0.183163 | + | 1.27392i | 0.849227 | + | 0.528029i | \(0.177069\pi\) |
−0.666064 | + | 0.745895i | \(0.732022\pi\) | |||||||
\(930\) | 3.74802 | − | 8.20701i | 0.122902 | − | 0.269119i | ||||
\(931\) | −16.1258 | + | 4.73497i | −0.528503 | + | 0.155182i | ||||
\(932\) | −18.6597 | + | 5.47899i | −0.611219 | + | 0.179470i | ||||
\(933\) | −12.3984 | + | 27.1488i | −0.405907 | + | 0.888812i | ||||
\(934\) | 1.34657 | + | 9.36562i | 0.0440612 | + | 0.306452i | ||||
\(935\) | −0.149467 | − | 0.172494i | −0.00488809 | − | 0.00564116i | ||||
\(936\) | −1.73977 | − | 3.80956i | −0.0568662 | − | 0.124520i | ||||
\(937\) | 24.9371 | − | 16.0261i | 0.814658 | − | 0.523549i | −0.0657105 | − | 0.997839i | \(-0.520931\pi\) |
0.880369 | + | 0.474290i | \(0.157295\pi\) | |||||||
\(938\) | −2.16082 | + | 15.0289i | −0.0705534 | + | 0.490710i | ||||
\(939\) | 3.37587 | + | 2.16954i | 0.110167 | + | 0.0708002i | ||||
\(940\) | 2.71266 | − | 3.13058i | 0.0884773 | − | 0.102108i | ||||
\(941\) | −27.5875 | − | 8.10042i | −0.899327 | − | 0.264066i | −0.200785 | − | 0.979635i | \(-0.564349\pi\) |
−0.698542 | + | 0.715569i | \(0.746167\pi\) | |||||||
\(942\) | 15.3704 | 0.500796 | ||||||||
\(943\) | −8.33513 | − | 5.65570i | −0.271429 | − | 0.184175i | ||||
\(944\) | −9.05004 | −0.294554 | ||||||||
\(945\) | −3.88620 | − | 1.14109i | −0.126418 | − | 0.0371197i | ||||
\(946\) | −3.58055 | + | 4.13218i | −0.116414 | + | 0.134349i | ||||
\(947\) | 28.7705 | + | 18.4897i | 0.934916 | + | 0.600834i | 0.916949 | − | 0.399005i | \(-0.130644\pi\) |
0.0179668 | + | 0.999839i | \(0.494281\pi\) | |||||||
\(948\) | 0.483198 | − | 3.36072i | 0.0156935 | − | 0.109151i | ||||
\(949\) | −55.2651 | + | 35.5167i | −1.79398 | + | 1.15292i | ||||
\(950\) | 0.742372 | + | 1.62557i | 0.0240857 | + | 0.0527404i | ||||
\(951\) | −18.6689 | − | 21.5450i | −0.605380 | − | 0.698646i | ||||
\(952\) | −0.169208 | − | 1.17687i | −0.00548408 | − | 0.0381426i | ||||
\(953\) | 1.65193 | − | 3.61723i | 0.0535114 | − | 0.117174i | −0.880988 | − | 0.473139i | \(-0.843121\pi\) |
0.934499 | + | 0.355966i | \(0.115848\pi\) | |||||||
\(954\) | −3.92503 | + | 1.15249i | −0.127078 | + | 0.0373134i | ||||
\(955\) | 2.88367 | − | 0.846721i | 0.0933133 | − | 0.0273993i | ||||
\(956\) | 4.33241 | − | 9.48666i | 0.140120 | − | 0.306821i | ||||
\(957\) | 0.311943 | + | 2.16961i | 0.0100837 | + | 0.0701335i | ||||
\(958\) | 22.5727 | + | 26.0503i | 0.729292 | + | 0.841648i | ||||
\(959\) | −13.4800 | − | 29.5170i | −0.435291 | − | 0.953155i | ||||
\(960\) | 0.841254 | − | 0.540641i | 0.0271513 | − | 0.0174491i | ||||
\(961\) | −7.17305 | + | 49.8897i | −0.231389 | + | 1.60934i | ||||
\(962\) | 25.0424 | + | 16.0937i | 0.807398 | + | 0.518883i | ||||
\(963\) | 7.38778 | − | 8.52595i | 0.238068 | − | 0.274745i | ||||
\(964\) | 16.8684 | + | 4.95301i | 0.543295 | + | 0.159526i | ||||
\(965\) | −4.50726 | −0.145094 | ||||||||
\(966\) | 16.5980 | − | 10.0902i | 0.534032 | − | 0.324647i | ||||
\(967\) | −3.05378 | −0.0982030 | −0.0491015 | − | 0.998794i | \(-0.515636\pi\) | ||||
−0.0491015 | + | 0.998794i | \(0.515636\pi\) | |||||||
\(968\) | 9.97438 | + | 2.92874i | 0.320589 | + | 0.0941334i | ||||
\(969\) | −0.343540 | + | 0.396466i | −0.0110361 | + | 0.0127363i | ||||
\(970\) | −0.605047 | − | 0.388840i | −0.0194269 | − | 0.0124849i | ||||
\(971\) | −2.35625 | + | 16.3881i | −0.0756157 | + | 0.525919i | 0.916445 | + | 0.400160i | \(0.131046\pi\) |
−0.992061 | + | 0.125759i | \(0.959864\pi\) | |||||||
\(972\) | 0.841254 | − | 0.540641i | 0.0269832 | − | 0.0173411i | ||||
\(973\) | 37.9737 | + | 83.1508i | 1.21738 | + | 2.66569i | ||||
\(974\) | 17.3585 | + | 20.0328i | 0.556202 | + | 0.641892i | ||||
\(975\) | 0.596019 | + | 4.14540i | 0.0190879 | + | 0.132759i | ||||
\(976\) | 0.178181 | − | 0.390162i | 0.00570343 | − | 0.0124888i | ||||
\(977\) | 3.38157 | − | 0.992917i | 0.108186 | − | 0.0317662i | −0.227192 | − | 0.973850i | \(-0.572954\pi\) |
0.335377 | + | 0.942084i | \(0.391136\pi\) | |||||||
\(978\) | −10.4642 | + | 3.07257i | −0.334609 | + | 0.0982499i | ||||
\(979\) | 2.34804 | − | 5.14149i | 0.0750437 | − | 0.164323i | ||||
\(980\) | −1.33842 | − | 9.30888i | −0.0427541 | − | 0.297361i | ||||
\(981\) | −11.2723 | − | 13.0089i | −0.359896 | − | 0.415342i | ||||
\(982\) | −16.7766 | − | 36.7357i | −0.535364 | − | 1.17228i | ||||
\(983\) | 27.7977 | − | 17.8645i | 0.886610 | − | 0.569790i | −0.0161808 | − | 0.999869i | \(-0.505151\pi\) |
0.902791 | + | 0.430079i | \(0.141514\pi\) | |||||||
\(984\) | 0.298907 | − | 2.07895i | 0.00952882 | − | 0.0662744i | ||||
\(985\) | 7.86632 | + | 5.05537i | 0.250642 | + | 0.161078i | ||||
\(986\) | 0.541945 | − | 0.625438i | 0.0172591 | − | 0.0199180i | ||||
\(987\) | 16.0980 | + | 4.72680i | 0.512405 | + | 0.150456i | ||||
\(988\) | −7.48426 | −0.238106 | ||||||||
\(989\) | 13.2395 | + | 31.0181i | 0.420992 | + | 0.986318i | ||||
\(990\) | 0.777512 | 0.0247110 | ||||||||
\(991\) | −19.6667 | − | 5.77466i | −0.624733 | − | 0.183438i | −0.0459815 | − | 0.998942i | \(-0.514642\pi\) |
−0.578751 | + | 0.815504i | \(0.696460\pi\) | |||||||
\(992\) | −5.90838 | + | 6.81863i | −0.187591 | + | 0.216492i | ||||
\(993\) | −6.42591 | − | 4.12968i | −0.203920 | − | 0.131051i | ||||
\(994\) | −5.59859 | + | 38.9390i | −0.177576 | + | 1.23507i | ||||
\(995\) | −18.1993 | + | 11.6960i | −0.576958 | + | 0.370788i | ||||
\(996\) | 1.75693 | + | 3.84715i | 0.0556706 | + | 0.121902i | ||||
\(997\) | −4.64728 | − | 5.36325i | −0.147181 | − | 0.169856i | 0.677372 | − | 0.735641i | \(-0.263119\pi\) |
−0.824553 | + | 0.565785i | \(0.808573\pi\) | |||||||
\(998\) | −3.27011 | − | 22.7441i | −0.103514 | − | 0.719952i | ||||
\(999\) | −2.95271 | + | 6.46554i | −0.0934197 | + | 0.204561i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 690.2.m.g.271.3 | ✓ | 30 | |
23.9 | even | 11 | inner | 690.2.m.g.331.3 | yes | 30 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
690.2.m.g.271.3 | ✓ | 30 | 1.1 | even | 1 | trivial | |
690.2.m.g.331.3 | yes | 30 | 23.9 | even | 11 | inner |