Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [177,2,Mod(2,177)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(177, base_ring=CyclotomicField(58))
chi = DirichletCharacter(H, H._module([29, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("177.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 177 = 3 \cdot 59 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 177.f (of order \(58\), degree \(28\), 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: | \(1.41335211578\) |
Analytic rank: | \(0\) |
Dimension: | \(504\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{58})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{58}]$ |
Embedding invariants
Embedding label | 2.14 | ||
Character | \(\chi\) | \(=\) | 177.2 |
Dual form | 177.2.f.a.89.14 |
$q$-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 \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).
\(n\) | \(61\) | \(119\) |
\(\chi(n)\) | \(e\left(\frac{1}{58}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.0852373 | − | 1.57211i | 0.0602719 | − | 1.11165i | −0.799399 | − | 0.600801i | \(-0.794849\pi\) |
0.859671 | − | 0.510848i | \(-0.170669\pi\) | |||||||
\(3\) | 1.36588 | − | 1.06507i | 0.788591 | − | 0.614918i | ||||
\(4\) | −0.475985 | − | 0.0517665i | −0.237993 | − | 0.0258833i | ||||
\(5\) | −0.628919 | + | 1.86657i | −0.281261 | + | 0.834754i | 0.710159 | + | 0.704041i | \(0.248623\pi\) |
−0.991420 | + | 0.130713i | \(0.958273\pi\) | |||||||
\(6\) | −1.55798 | − | 2.23810i | −0.636043 | − | 0.913699i | ||||
\(7\) | −0.690899 | − | 1.01900i | −0.261135 | − | 0.385146i | 0.674407 | − | 0.738359i | \(-0.264399\pi\) |
−0.935543 | + | 0.353214i | \(0.885089\pi\) | |||||||
\(8\) | 0.387471 | − | 2.36347i | 0.136992 | − | 0.835612i | ||||
\(9\) | 0.731257 | − | 2.90951i | 0.243752 | − | 0.969838i | ||||
\(10\) | 2.88084 | + | 1.14783i | 0.911001 | + | 0.362976i | ||||
\(11\) | 0.567693 | − | 0.124959i | 0.171166 | − | 0.0376765i | −0.128561 | − | 0.991702i | \(-0.541036\pi\) |
0.299726 | + | 0.954025i | \(0.403105\pi\) | |||||||
\(12\) | −0.705274 | + | 0.436250i | −0.203595 | + | 0.125935i | ||||
\(13\) | −1.39850 | + | 1.18790i | −0.387875 | + | 0.329464i | −0.820014 | − | 0.572343i | \(-0.806035\pi\) |
0.432140 | + | 0.901807i | \(0.357759\pi\) | |||||||
\(14\) | −1.66087 | + | 0.999311i | −0.443886 | + | 0.267077i | ||||
\(15\) | 1.12899 | + | 3.21935i | 0.291505 | + | 0.831232i | ||||
\(16\) | −4.61780 | − | 1.01645i | −1.15445 | − | 0.254113i | ||||
\(17\) | 3.78800 | + | 2.56833i | 0.918726 | + | 0.622912i | 0.926189 | − | 0.377061i | \(-0.123065\pi\) |
−0.00746277 | + | 0.999972i | \(0.502375\pi\) | |||||||
\(18\) | −4.51174 | − | 1.39761i | −1.06343 | − | 0.329421i | ||||
\(19\) | −3.45636 | + | 6.51938i | −0.792943 | + | 1.49565i | 0.0740099 | + | 0.997258i | \(0.476420\pi\) |
−0.866952 | + | 0.498391i | \(0.833924\pi\) | |||||||
\(20\) | 0.395982 | − | 0.855901i | 0.0885443 | − | 0.191385i | ||||
\(21\) | −2.02899 | − | 0.655976i | −0.442762 | − | 0.143146i | ||||
\(22\) | −0.148060 | − | 0.903126i | −0.0315665 | − | 0.192547i | ||||
\(23\) | −0.916295 | + | 0.867961i | −0.191061 | + | 0.180982i | −0.777250 | − | 0.629192i | \(-0.783386\pi\) |
0.586189 | + | 0.810174i | \(0.300627\pi\) | |||||||
\(24\) | −1.98802 | − | 3.64089i | −0.405802 | − | 0.743195i | ||||
\(25\) | 0.891934 | + | 0.678031i | 0.178387 | + | 0.135606i | ||||
\(26\) | 1.74830 | + | 2.29985i | 0.342870 | + | 0.451038i | ||||
\(27\) | −2.10002 | − | 4.75288i | −0.404149 | − | 0.914693i | ||||
\(28\) | 0.276108 | + | 0.520794i | 0.0521794 | + | 0.0984209i | ||||
\(29\) | 5.45088 | − | 0.295538i | 1.01220 | − | 0.0548801i | 0.459432 | − | 0.888213i | \(-0.348053\pi\) |
0.552771 | + | 0.833333i | \(0.313570\pi\) | |||||||
\(30\) | 5.15740 | − | 1.50049i | 0.941608 | − | 0.273951i | ||||
\(31\) | −4.06403 | + | 2.15461i | −0.729922 | + | 0.386980i | −0.791538 | − | 0.611120i | \(-0.790719\pi\) |
0.0616163 | + | 0.998100i | \(0.480375\pi\) | |||||||
\(32\) | −0.710115 | + | 2.55760i | −0.125532 | + | 0.452124i | ||||
\(33\) | 0.642311 | − | 0.775311i | 0.111812 | − | 0.134964i | ||||
\(34\) | 4.36057 | − | 5.73624i | 0.747832 | − | 0.983757i | ||||
\(35\) | 2.33655 | − | 0.648740i | 0.394949 | − | 0.109657i | ||||
\(36\) | −0.498683 | + | 1.34703i | −0.0831138 | + | 0.224505i | ||||
\(37\) | 3.20340 | − | 0.525170i | 0.526635 | − | 0.0863374i | 0.107401 | − | 0.994216i | \(-0.465747\pi\) |
0.419234 | + | 0.907878i | \(0.362299\pi\) | |||||||
\(38\) | 9.95457 | + | 5.98946i | 1.61484 | + | 0.971619i | ||||
\(39\) | −0.644993 | + | 3.11203i | −0.103282 | + | 0.498323i | ||||
\(40\) | 4.16788 | + | 2.20967i | 0.659000 | + | 0.349379i | ||||
\(41\) | −5.26784 | + | 5.56119i | −0.822698 | + | 0.868512i | −0.993149 | − | 0.116855i | \(-0.962719\pi\) |
0.170451 | + | 0.985366i | \(0.445478\pi\) | |||||||
\(42\) | −1.20421 | + | 3.13388i | −0.185814 | + | 0.483568i | ||||
\(43\) | 1.24155 | − | 5.64044i | 0.189335 | − | 0.860159i | −0.782156 | − | 0.623083i | \(-0.785880\pi\) |
0.971491 | − | 0.237076i | \(-0.0761890\pi\) | |||||||
\(44\) | −0.276682 | + | 0.0300910i | −0.0417114 | + | 0.00453639i | ||||
\(45\) | 4.97090 | + | 3.19479i | 0.741018 | + | 0.476251i | ||||
\(46\) | 1.28643 | + | 1.51450i | 0.189673 | + | 0.223301i | ||||
\(47\) | −9.62767 | + | 3.24394i | −1.40434 | + | 0.473177i | −0.916598 | − | 0.399811i | \(-0.869076\pi\) |
−0.487742 | + | 0.872988i | \(0.662179\pi\) | |||||||
\(48\) | −7.38995 | + | 3.52992i | −1.06665 | + | 0.509500i | ||||
\(49\) | 2.02995 | − | 5.09479i | 0.289993 | − | 0.727827i | ||||
\(50\) | 1.14196 | − | 1.34442i | 0.161498 | − | 0.190130i | ||||
\(51\) | 7.90941 | − | 0.526453i | 1.10754 | − | 0.0737182i | ||||
\(52\) | 0.727160 | − | 0.493027i | 0.100839 | − | 0.0683705i | ||||
\(53\) | 3.00675 | − | 1.19800i | 0.413009 | − | 0.164558i | −0.154373 | − | 0.988013i | \(-0.549336\pi\) |
0.567382 | + | 0.823455i | \(0.307956\pi\) | |||||||
\(54\) | −7.65105 | + | 2.89634i | −1.04118 | + | 0.394142i | ||||
\(55\) | −0.123790 | + | 1.13823i | −0.0166918 | + | 0.153478i | ||||
\(56\) | −2.67607 | + | 1.23808i | −0.357605 | + | 0.165446i | ||||
\(57\) | 2.22262 | + | 12.5859i | 0.294393 | + | 1.66705i | ||||
\(58\) | − | 8.59457i | − | 1.12852i | ||||||
\(59\) | −0.499113 | − | 7.66491i | −0.0649790 | − | 0.997887i | ||||
\(60\) | −0.370730 | − | 1.59081i | −0.0478610 | − | 0.205372i | ||||
\(61\) | −2.35472 | − | 0.127669i | −0.301490 | − | 0.0163463i | −0.0972268 | − | 0.995262i | \(-0.530997\pi\) |
−0.204264 | + | 0.978916i | \(0.565480\pi\) | |||||||
\(62\) | 3.04088 | + | 6.57276i | 0.386192 | + | 0.834741i | ||||
\(63\) | −3.47002 | + | 1.26503i | −0.437181 | + | 0.159379i | ||||
\(64\) | −5.00136 | − | 1.68515i | −0.625170 | − | 0.210644i | ||||
\(65\) | −1.33775 | − | 3.35749i | −0.165927 | − | 0.416445i | ||||
\(66\) | −1.16412 | − | 1.07587i | −0.143294 | − | 0.132430i | ||||
\(67\) | 7.88253 | + | 1.29227i | 0.963004 | + | 0.157876i | 0.622719 | − | 0.782446i | \(-0.286028\pi\) |
0.340285 | + | 0.940322i | \(0.389476\pi\) | |||||||
\(68\) | −1.67008 | − | 1.41858i | −0.202527 | − | 0.172028i | ||||
\(69\) | −0.327111 | + | 2.16145i | −0.0393796 | + | 0.260208i | ||||
\(70\) | −0.820729 | − | 3.72861i | −0.0980958 | − | 0.445654i | ||||
\(71\) | 2.61334 | + | 7.75610i | 0.310146 | + | 0.920480i | 0.983460 | + | 0.181124i | \(0.0579735\pi\) |
−0.673314 | + | 0.739356i | \(0.735130\pi\) | |||||||
\(72\) | −6.59319 | − | 2.85565i | −0.777015 | − | 0.336542i | ||||
\(73\) | 2.28084 | + | 3.79079i | 0.266953 | + | 0.443679i | 0.961118 | − | 0.276136i | \(-0.0890542\pi\) |
−0.694166 | + | 0.719815i | \(0.744227\pi\) | |||||||
\(74\) | −0.552576 | − | 5.08085i | −0.0642356 | − | 0.590637i | ||||
\(75\) | 1.94042 | − | 0.0238626i | 0.224061 | − | 0.00275541i | ||||
\(76\) | 1.98266 | − | 2.92421i | 0.227427 | − | 0.335429i | ||||
\(77\) | −0.519551 | − | 0.492145i | −0.0592083 | − | 0.0560851i | ||||
\(78\) | 4.83747 | + | 1.27926i | 0.547736 | + | 0.144848i | ||||
\(79\) | −12.0781 | − | 5.58793i | −1.35889 | − | 0.628691i | −0.401070 | − | 0.916048i | \(-0.631361\pi\) |
−0.957824 | + | 0.287357i | \(0.907224\pi\) | |||||||
\(80\) | 4.80150 | − | 7.98016i | 0.536824 | − | 0.892209i | ||||
\(81\) | −7.93053 | − | 4.25520i | −0.881170 | − | 0.472800i | ||||
\(82\) | 8.29378 | + | 8.75563i | 0.915894 | + | 0.966898i | ||||
\(83\) | −3.33462 | − | 12.0102i | −0.366023 | − | 1.31829i | −0.885830 | − | 0.464010i | \(-0.846410\pi\) |
0.519807 | − | 0.854284i | \(-0.326004\pi\) | |||||||
\(84\) | 0.931812 | + | 0.417269i | 0.101669 | + | 0.0455278i | ||||
\(85\) | −7.17631 | + | 5.45529i | −0.778380 | + | 0.591709i | ||||
\(86\) | −8.76156 | − | 2.43263i | −0.944783 | − | 0.262318i | ||||
\(87\) | 7.13048 | − | 6.20923i | 0.764468 | − | 0.665700i | ||||
\(88\) | −0.0753713 | − | 1.39014i | −0.00803460 | − | 0.148190i | ||||
\(89\) | −0.838695 | − | 15.4688i | −0.0889015 | − | 1.63969i | −0.614470 | − | 0.788940i | \(-0.710630\pi\) |
0.525569 | − | 0.850751i | \(-0.323853\pi\) | |||||||
\(90\) | 5.44626 | − | 7.54248i | 0.574086 | − | 0.795047i | ||||
\(91\) | 2.17669 | + | 0.604355i | 0.228179 | + | 0.0633537i | ||||
\(92\) | 0.481074 | − | 0.365703i | 0.0501555 | − | 0.0381272i | ||||
\(93\) | −3.25617 | + | 7.27142i | −0.337649 | + | 0.754011i | ||||
\(94\) | 4.27919 | + | 15.4122i | 0.441365 | + | 1.58965i | ||||
\(95\) | −9.99509 | − | 10.5517i | −1.02547 | − | 1.08258i | ||||
\(96\) | 1.75409 | + | 4.24970i | 0.179026 | + | 0.433733i | ||||
\(97\) | 3.18986 | − | 5.30158i | 0.323881 | − | 0.538294i | −0.651548 | − | 0.758607i | \(-0.725880\pi\) |
0.975429 | + | 0.220313i | \(0.0707079\pi\) | |||||||
\(98\) | −7.83653 | − | 3.62557i | −0.791609 | − | 0.366237i | ||||
\(99\) | 0.0515606 | − | 1.74309i | 0.00518204 | − | 0.175187i | ||||
\(100\) | −0.389448 | − | 0.368905i | −0.0389448 | − | 0.0368905i | ||||
\(101\) | −6.46271 | + | 9.53178i | −0.643064 | + | 0.948448i | 0.356834 | + | 0.934168i | \(0.383856\pi\) |
−0.999898 | + | 0.0142803i | \(0.995454\pi\) | |||||||
\(102\) | −0.153466 | − | 12.4793i | −0.0151954 | − | 1.23564i | ||||
\(103\) | 1.41509 | + | 13.0115i | 0.139433 | + | 1.28206i | 0.829578 | + | 0.558390i | \(0.188581\pi\) |
−0.690146 | + | 0.723670i | \(0.742454\pi\) | |||||||
\(104\) | 2.26568 | + | 3.76559i | 0.222168 | + | 0.369246i | ||||
\(105\) | 2.50049 | − | 3.37469i | 0.244023 | − | 0.329336i | ||||
\(106\) | −1.62710 | − | 4.82905i | −0.158038 | − | 0.469039i | ||||
\(107\) | −0.948881 | − | 4.31081i | −0.0917318 | − | 0.416742i | 0.908267 | − | 0.418391i | \(-0.137406\pi\) |
−0.999999 | + | 0.00164956i | \(0.999475\pi\) | |||||||
\(108\) | 0.753539 | + | 2.37101i | 0.0725093 | + | 0.228151i | ||||
\(109\) | −10.9381 | − | 9.29087i | −1.04768 | − | 0.889904i | −0.0535972 | − | 0.998563i | \(-0.517069\pi\) |
−0.994079 | + | 0.108658i | \(0.965345\pi\) | |||||||
\(110\) | 1.77886 | + | 0.291630i | 0.169608 | + | 0.0278058i | ||||
\(111\) | 3.81611 | − | 4.12916i | 0.362209 | − | 0.391922i | ||||
\(112\) | 2.15466 | + | 5.40780i | 0.203597 | + | 0.510989i | ||||
\(113\) | 4.42043 | + | 1.48941i | 0.415839 | + | 0.140112i | 0.519441 | − | 0.854506i | \(-0.326140\pi\) |
−0.103602 | + | 0.994619i | \(0.533037\pi\) | |||||||
\(114\) | 19.9759 | − | 2.42141i | 1.87092 | − | 0.226786i | ||||
\(115\) | −1.04383 | − | 2.25620i | −0.0973377 | − | 0.210392i | ||||
\(116\) | −2.60984 | − | 0.141501i | −0.242317 | − | 0.0131381i | ||||
\(117\) | 2.43354 | + | 4.93762i | 0.224981 | + | 0.456483i | ||||
\(118\) | −12.0926 | + | 0.131324i | −1.11322 | + | 0.0120894i | ||||
\(119\) | − | 5.63443i | − | 0.516507i | ||||||
\(120\) | 8.04627 | − | 1.42093i | 0.734521 | − | 0.129713i | ||||
\(121\) | −9.67667 | + | 4.47690i | −0.879697 | + | 0.406991i | ||||
\(122\) | −0.401419 | + | 3.69099i | −0.0363428 | + | 0.334166i | ||||
\(123\) | −1.27219 | + | 13.2065i | −0.114709 | + | 1.19079i | ||||
\(124\) | 2.04596 | − | 0.815184i | 0.183732 | − | 0.0732057i | ||||
\(125\) | −9.97793 | + | 6.76520i | −0.892453 | + | 0.605098i | ||||
\(126\) | 1.69299 | + | 5.56307i | 0.150823 | + | 0.495598i | ||||
\(127\) | 4.69518 | − | 5.52759i | 0.416630 | − | 0.490494i | −0.513312 | − | 0.858202i | \(-0.671582\pi\) |
0.929941 | + | 0.367708i | \(0.119857\pi\) | |||||||
\(128\) | −5.04050 | + | 12.6507i | −0.445522 | + | 1.11817i | ||||
\(129\) | −4.31164 | − | 9.02650i | −0.379619 | − | 0.794739i | ||||
\(130\) | −5.39237 | + | 1.81690i | −0.472942 | + | 0.159353i | ||||
\(131\) | −3.72682 | − | 4.38755i | −0.325614 | − | 0.383342i | 0.574861 | − | 0.818251i | \(-0.305056\pi\) |
−0.900474 | + | 0.434909i | \(0.856780\pi\) | |||||||
\(132\) | −0.345866 | + | 0.335786i | −0.0301038 | + | 0.0292264i | ||||
\(133\) | 9.03124 | − | 0.982206i | 0.783107 | − | 0.0851681i | ||||
\(134\) | 2.70348 | − | 12.2820i | 0.233545 | − | 1.06101i | ||||
\(135\) | 10.1923 | − | 0.930648i | 0.877215 | − | 0.0800975i | ||||
\(136\) | 7.53790 | − | 7.95767i | 0.646370 | − | 0.682364i | ||||
\(137\) | 16.5738 | + | 8.78690i | 1.41600 | + | 0.750715i | 0.988202 | − | 0.153159i | \(-0.0489447\pi\) |
0.427798 | + | 0.903874i | \(0.359290\pi\) | |||||||
\(138\) | 3.37015 | + | 0.698491i | 0.286886 | + | 0.0594595i | ||||
\(139\) | 11.2514 | + | 6.76976i | 0.954334 | + | 0.574204i | 0.905382 | − | 0.424597i | \(-0.139584\pi\) |
0.0489517 | + | 0.998801i | \(0.484412\pi\) | |||||||
\(140\) | −1.14575 | + | 0.187836i | −0.0968333 | + | 0.0158750i | ||||
\(141\) | −9.69522 | + | 14.6850i | −0.816485 | + | 1.23670i | ||||
\(142\) | 12.4162 | − | 3.44734i | 1.04194 | − | 0.289294i | ||||
\(143\) | −0.645482 | + | 0.849117i | −0.0539779 | + | 0.0710067i | ||||
\(144\) | −6.33418 | + | 12.6922i | −0.527848 | + | 1.05769i | ||||
\(145\) | −2.87652 | + | 10.3603i | −0.238882 | + | 0.860376i | ||||
\(146\) | 6.15395 | − | 3.26262i | 0.509305 | − | 0.270016i | ||||
\(147\) | −2.65363 | − | 9.12090i | −0.218868 | − | 0.752279i | ||||
\(148\) | −1.55196 | + | 0.0841446i | −0.127570 | + | 0.00691664i | ||||
\(149\) | 3.87784 | + | 7.31439i | 0.317685 | + | 0.599218i | 0.990003 | − | 0.141044i | \(-0.0450461\pi\) |
−0.672318 | + | 0.740262i | \(0.734701\pi\) | |||||||
\(150\) | 0.127882 | − | 3.05259i | 0.0104415 | − | 0.249243i | ||||
\(151\) | −1.21587 | − | 1.59944i | −0.0989457 | − | 0.130161i | 0.743956 | − | 0.668229i | \(-0.232947\pi\) |
−0.842901 | + | 0.538068i | \(0.819154\pi\) | |||||||
\(152\) | 14.0691 | + | 10.6951i | 1.14115 | + | 0.867483i | ||||
\(153\) | 10.2426 | − | 9.14313i | 0.828065 | − | 0.739179i | ||||
\(154\) | −0.817991 | + | 0.774842i | −0.0659156 | + | 0.0624385i | ||||
\(155\) | −1.46578 | − | 8.94087i | −0.117734 | − | 0.718148i | ||||
\(156\) | 0.468106 | − | 1.44789i | 0.0374785 | − | 0.115924i | ||||
\(157\) | 3.48632 | − | 7.53555i | 0.278238 | − | 0.601403i | −0.717194 | − | 0.696874i | \(-0.754574\pi\) |
0.995432 | + | 0.0954713i | \(0.0304358\pi\) | |||||||
\(158\) | −9.81434 | + | 18.5118i | −0.780787 | + | 1.47272i | ||||
\(159\) | 2.83091 | − | 4.83871i | 0.224506 | − | 0.383735i | ||||
\(160\) | −4.32733 | − | 2.93400i | −0.342105 | − | 0.231953i | ||||
\(161\) | 1.51752 | + | 0.334031i | 0.119597 | + | 0.0263253i | ||||
\(162\) | −7.36562 | + | 12.1050i | −0.578698 | + | 0.951055i | ||||
\(163\) | 11.7797 | − | 7.08761i | 0.922657 | − | 0.555145i | 0.0268758 | − | 0.999639i | \(-0.491444\pi\) |
0.895782 | + | 0.444494i | \(0.146617\pi\) | |||||||
\(164\) | 2.79530 | − | 2.37435i | 0.218276 | − | 0.185405i | ||||
\(165\) | 1.04321 | + | 1.68652i | 0.0812136 | + | 0.131296i | ||||
\(166\) | −19.1656 | + | 4.21867i | −1.48754 | + | 0.327433i | ||||
\(167\) | −17.7158 | − | 7.05860i | −1.37089 | − | 0.546211i | −0.435612 | − | 0.900135i | \(-0.643468\pi\) |
−0.935274 | + | 0.353924i | \(0.884847\pi\) | |||||||
\(168\) | −2.33655 | + | 4.54128i | −0.180269 | + | 0.350367i | ||||
\(169\) | −1.55846 | + | 9.50619i | −0.119882 | + | 0.731245i | ||||
\(170\) | 7.96462 | + | 11.7469i | 0.610858 | + | 0.900949i | ||||
\(171\) | 16.4407 | + | 14.8237i | 1.25725 | + | 1.13359i | ||||
\(172\) | −0.882948 | + | 2.62049i | −0.0673241 | + | 0.199811i | ||||
\(173\) | −0.961471 | − | 0.104566i | −0.0730993 | − | 0.00795003i | 0.0714963 | − | 0.997441i | \(-0.477223\pi\) |
−0.144596 | + | 0.989491i | \(0.546188\pi\) | |||||||
\(174\) | −9.15381 | − | 11.7392i | −0.693948 | − | 0.889943i | ||||
\(175\) | 0.0746767 | − | 1.37733i | 0.00564503 | − | 0.104116i | ||||
\(176\) | −2.74851 | −0.207176 | ||||||||
\(177\) | −8.84539 | − | 9.93776i | −0.664860 | − | 0.746968i | ||||
\(178\) | −24.3902 | −1.82812 | ||||||||
\(179\) | 1.13169 | − | 20.8728i | 0.0845867 | − | 1.56011i | −0.581071 | − | 0.813853i | \(-0.697366\pi\) |
0.665658 | − | 0.746257i | \(-0.268151\pi\) | |||||||
\(180\) | −2.20069 | − | 1.77800i | −0.164030 | − | 0.132524i | ||||
\(181\) | −3.12249 | − | 0.339592i | −0.232093 | − | 0.0252416i | −0.00866666 | − | 0.999962i | \(-0.502759\pi\) |
−0.223426 | + | 0.974721i | \(0.571724\pi\) | |||||||
\(182\) | 1.13565 | − | 3.37048i | 0.0841798 | − | 0.249837i | ||||
\(183\) | −3.35224 | + | 2.33355i | −0.247804 | + | 0.172501i | ||||
\(184\) | 1.69636 | + | 2.50194i | 0.125057 | + | 0.184446i | ||||
\(185\) | −1.03441 | + | 6.30964i | −0.0760516 | + | 0.463894i | ||||
\(186\) | 11.1539 | + | 5.73885i | 0.817845 | + | 0.420793i | ||||
\(187\) | 2.47136 | + | 0.984679i | 0.180724 | + | 0.0720069i | ||||
\(188\) | 4.75056 | − | 1.04568i | 0.346470 | − | 0.0762638i | ||||
\(189\) | −3.39228 | + | 5.42368i | −0.246752 | + | 0.394515i | ||||
\(190\) | −17.4404 | + | 14.8140i | −1.26526 | + | 1.07472i | ||||
\(191\) | 16.1107 | − | 9.69347i | 1.16573 | − | 0.701395i | 0.204965 | − | 0.978769i | \(-0.434292\pi\) |
0.960762 | + | 0.277375i | \(0.0894643\pi\) | |||||||
\(192\) | −8.62606 | + | 3.02507i | −0.622532 | + | 0.218316i | ||||
\(193\) | 0.626402 | + | 0.137881i | 0.0450894 | + | 0.00992493i | 0.237458 | − | 0.971398i | \(-0.423686\pi\) |
−0.192368 | + | 0.981323i | \(0.561617\pi\) | |||||||
\(194\) | −8.06277 | − | 5.46669i | −0.578873 | − | 0.392486i | ||||
\(195\) | −5.40316 | − | 3.16114i | −0.386928 | − | 0.226374i | ||||
\(196\) | −1.22997 | + | 2.31996i | −0.0878547 | + | 0.165711i | ||||
\(197\) | −9.66273 | + | 20.8857i | −0.688441 | + | 1.48804i | 0.175516 | + | 0.984477i | \(0.443841\pi\) |
−0.863957 | + | 0.503565i | \(0.832021\pi\) | |||||||
\(198\) | −2.73593 | − | 0.229635i | −0.194434 | − | 0.0163194i | ||||
\(199\) | −1.13439 | − | 6.91945i | −0.0804146 | − | 0.490507i | −0.996072 | − | 0.0885475i | \(-0.971777\pi\) |
0.915657 | − | 0.401960i | \(-0.131671\pi\) | |||||||
\(200\) | 1.94810 | − | 1.84534i | 0.137752 | − | 0.130485i | ||||
\(201\) | 12.1429 | − | 6.63034i | 0.856497 | − | 0.467668i | ||||
\(202\) | 14.4341 | + | 10.9725i | 1.01558 | + | 0.772026i | ||||
\(203\) | −4.06716 | − | 5.35026i | −0.285459 | − | 0.375514i | ||||
\(204\) | −3.79201 | − | 0.158858i | −0.265494 | − | 0.0111223i | ||||
\(205\) | −7.06728 | − | 13.3303i | −0.493600 | − | 0.931029i | ||||
\(206\) | 20.5761 | − | 1.11560i | 1.43361 | − | 0.0777278i | ||||
\(207\) | 1.85530 | + | 3.30068i | 0.128952 | + | 0.229413i | ||||
\(208\) | 7.66544 | − | 4.06396i | 0.531503 | − | 0.281785i | ||||
\(209\) | −1.14750 | + | 4.13291i | −0.0793740 | + | 0.285879i | ||||
\(210\) | −5.09224 | − | 4.21870i | −0.351398 | − | 0.291118i | ||||
\(211\) | −4.96782 | + | 6.53505i | −0.341999 | + | 0.449892i | −0.934651 | − | 0.355567i | \(-0.884288\pi\) |
0.592652 | + | 0.805459i | \(0.298081\pi\) | |||||||
\(212\) | −1.49318 | + | 0.414581i | −0.102552 | + | 0.0284735i | ||||
\(213\) | 11.8303 | + | 7.81053i | 0.810598 | + | 0.535168i | ||||
\(214\) | −6.85795 | + | 1.12430i | −0.468800 | + | 0.0768558i | ||||
\(215\) | 9.74741 | + | 5.86482i | 0.664768 | + | 0.399978i | ||||
\(216\) | −12.0470 | + | 3.12173i | −0.819693 | + | 0.212407i | ||||
\(217\) | 5.00339 | + | 2.65263i | 0.339652 | + | 0.180072i | ||||
\(218\) | −15.5386 | + | 16.4039i | −1.05241 | + | 1.11101i | ||||
\(219\) | 7.15281 | + | 2.74851i | 0.483342 | + | 0.185727i | ||||
\(220\) | 0.117844 | − | 0.535371i | 0.00794504 | − | 0.0360947i | ||||
\(221\) | −8.34845 | + | 0.907948i | −0.561577 | + | 0.0610752i | ||||
\(222\) | −6.16621 | − | 6.35130i | −0.413849 | − | 0.426271i | ||||
\(223\) | 14.2939 | + | 16.8281i | 0.957191 | + | 1.12689i | 0.991839 | + | 0.127493i | \(0.0406931\pi\) |
−0.0346480 | + | 0.999400i | \(0.511031\pi\) | |||||||
\(224\) | 3.09681 | − | 1.04344i | 0.206914 | − | 0.0697176i | ||||
\(225\) | 2.62497 | − | 2.09928i | 0.174998 | − | 0.139952i | ||||
\(226\) | 2.71831 | − | 6.82244i | 0.180819 | − | 0.453822i | ||||
\(227\) | 5.68914 | − | 6.69778i | 0.377602 | − | 0.444547i | −0.540230 | − | 0.841518i | \(-0.681663\pi\) |
0.917831 | + | 0.396970i | \(0.129938\pi\) | |||||||
\(228\) | −0.406403 | − | 6.10578i | −0.0269147 | − | 0.404365i | ||||
\(229\) | 22.1990 | − | 15.0513i | 1.46695 | − | 0.994618i | 0.473448 | − | 0.880822i | \(-0.343009\pi\) |
0.993504 | − | 0.113796i | \(-0.0363011\pi\) | |||||||
\(230\) | −3.63597 | + | 1.44870i | −0.239749 | + | 0.0955247i | ||||
\(231\) | −1.23381 | − | 0.118853i | −0.0811789 | − | 0.00781998i | ||||
\(232\) | 1.41356 | − | 12.9975i | 0.0928049 | − | 0.853327i | ||||
\(233\) | −3.16639 | + | 1.46493i | −0.207437 | + | 0.0959706i | −0.520857 | − | 0.853644i | \(-0.674387\pi\) |
0.313420 | + | 0.949615i | \(0.398525\pi\) | |||||||
\(234\) | 7.96990 | − | 3.40492i | 0.521009 | − | 0.222587i | ||||
\(235\) | − | 20.0109i | − | 1.30536i | ||||||
\(236\) | −0.159215 | + | 3.67422i | −0.0103640 | + | 0.239172i | ||||
\(237\) | −22.4488 | + | 5.23158i | −1.45820 | + | 0.339827i | ||||
\(238\) | −8.85794 | − | 0.480263i | −0.574175 | − | 0.0311309i | ||||
\(239\) | −7.99037 | − | 17.2709i | −0.516854 | − | 1.11716i | −0.973746 | − | 0.227639i | \(-0.926899\pi\) |
0.456892 | − | 0.889522i | \(-0.348963\pi\) | |||||||
\(240\) | −1.94114 | − | 16.0139i | −0.125300 | − | 1.03369i | ||||
\(241\) | 5.24559 | + | 1.76745i | 0.337898 | + | 0.113851i | 0.483135 | − | 0.875546i | \(-0.339498\pi\) |
−0.145237 | + | 0.989397i | \(0.546394\pi\) | |||||||
\(242\) | 6.21337 | + | 15.5944i | 0.399410 | + | 1.00244i | ||||
\(243\) | −15.3642 | + | 2.63446i | −0.985616 | + | 0.169001i | ||||
\(244\) | 1.11420 | + | 0.182664i | 0.0713294 | + | 0.0116939i | ||||
\(245\) | 8.23308 | + | 6.99324i | 0.525992 | + | 0.446782i | ||||
\(246\) | 20.6537 | + | 3.12570i | 1.31683 | + | 0.199288i | ||||
\(247\) | −2.91064 | − | 13.2232i | −0.185200 | − | 0.841370i | ||||
\(248\) | 3.51766 | + | 10.4401i | 0.223372 | + | 0.662944i | ||||
\(249\) | −17.3464 | − | 12.8529i | −1.09928 | − | 0.814521i | ||||
\(250\) | 9.78514 | + | 16.2630i | 0.618867 | + | 1.02856i | ||||
\(251\) | −0.802351 | − | 7.37749i | −0.0506439 | − | 0.465663i | −0.991810 | − | 0.127720i | \(-0.959234\pi\) |
0.941166 | − | 0.337944i | \(-0.109731\pi\) | |||||||
\(252\) | 1.71716 | − | 0.422504i | 0.108171 | − | 0.0266153i | ||||
\(253\) | −0.411715 | + | 0.607234i | −0.0258843 | + | 0.0381765i | ||||
\(254\) | −8.28977 | − | 7.85249i | −0.520146 | − | 0.492709i | ||||
\(255\) | −3.99172 | + | 15.0945i | −0.249971 | + | 0.945256i | ||||
\(256\) | 9.87896 | + | 4.57050i | 0.617435 | + | 0.285656i | ||||
\(257\) | −7.24045 | + | 12.0337i | −0.451647 | + | 0.750643i | −0.996108 | − | 0.0881435i | \(-0.971907\pi\) |
0.544461 | + | 0.838786i | \(0.316734\pi\) | |||||||
\(258\) | −14.5582 | + | 6.00897i | −0.906351 | + | 0.374102i | ||||
\(259\) | −2.74837 | − | 2.90142i | −0.170775 | − | 0.180285i | ||||
\(260\) | 0.462942 | + | 1.66737i | 0.0287104 | + | 0.103406i | ||||
\(261\) | 3.12612 | − | 16.0755i | 0.193502 | − | 0.995050i | ||||
\(262\) | −7.21537 | + | 5.48498i | −0.445767 | + | 0.338863i | ||||
\(263\) | 7.65417 | + | 2.12517i | 0.471976 | + | 0.131044i | 0.495369 | − | 0.868683i | \(-0.335033\pi\) |
−0.0233925 | + | 0.999726i | \(0.507447\pi\) | |||||||
\(264\) | −1.58354 | − | 1.81849i | −0.0974604 | − | 0.111920i | ||||
\(265\) | 0.345140 | + | 6.36574i | 0.0212018 | + | 0.391044i | ||||
\(266\) | −0.774337 | − | 14.2818i | −0.0474777 | − | 0.875674i | ||||
\(267\) | −17.6209 | − | 20.2353i | −1.07838 | − | 1.23838i | ||||
\(268\) | −3.68507 | − | 1.02315i | −0.225102 | − | 0.0624991i | ||||
\(269\) | 25.3764 | − | 19.2906i | 1.54723 | − | 1.17617i | 0.630815 | − | 0.775933i | \(-0.282721\pi\) |
0.916411 | − | 0.400238i | \(-0.131072\pi\) | |||||||
\(270\) | −0.594315 | − | 16.1028i | −0.0361689 | − | 0.979983i | ||||
\(271\) | −0.238699 | − | 0.859716i | −0.0144999 | − | 0.0522240i | 0.955946 | − | 0.293542i | \(-0.0948341\pi\) |
−0.970446 | + | 0.241318i | \(0.922420\pi\) | |||||||
\(272\) | −14.8816 | − | 15.7104i | −0.902332 | − | 0.952580i | ||||
\(273\) | 3.61678 | − | 1.49285i | 0.218897 | − | 0.0903513i | ||||
\(274\) | 15.2267 | − | 25.3069i | 0.919877 | − | 1.52885i | ||||
\(275\) | 0.591071 | + | 0.273458i | 0.0356429 | + | 0.0164902i | ||||
\(276\) | 0.267591 | − | 1.01188i | 0.0161071 | − | 0.0609083i | ||||
\(277\) | 7.74445 | + | 7.33593i | 0.465319 | + | 0.440774i | 0.884089 | − | 0.467319i | \(-0.154780\pi\) |
−0.418770 | + | 0.908092i | \(0.637539\pi\) | |||||||
\(278\) | 11.6018 | − | 17.1114i | 0.695832 | − | 1.02628i | ||||
\(279\) | 3.29702 | + | 13.3999i | 0.197388 | + | 0.802233i | ||||
\(280\) | −0.627930 | − | 5.77372i | −0.0375260 | − | 0.345046i | ||||
\(281\) | 12.0356 | + | 20.0033i | 0.717983 | + | 1.19330i | 0.973983 | + | 0.226620i | \(0.0727675\pi\) |
−0.256001 | + | 0.966677i | \(0.582405\pi\) | |||||||
\(282\) | 22.2600 | + | 16.4936i | 1.32556 | + | 0.982182i | ||||
\(283\) | −5.60156 | − | 16.6248i | −0.332978 | − | 0.988245i | −0.975124 | − | 0.221662i | \(-0.928852\pi\) |
0.642145 | − | 0.766583i | \(-0.278045\pi\) | |||||||
\(284\) | −0.842403 | − | 3.82708i | −0.0499874 | − | 0.227095i | ||||
\(285\) | −24.8904 | − | 3.76688i | −1.47438 | − | 0.223131i | ||||
\(286\) | 1.27988 | + | 1.08714i | 0.0756812 | + | 0.0642842i | ||||
\(287\) | 9.30639 | + | 1.52570i | 0.549339 | + | 0.0900595i | ||||
\(288\) | 6.92210 | + | 3.93635i | 0.407889 | + | 0.231952i | ||||
\(289\) | 1.46030 | + | 3.66508i | 0.0859002 | + | 0.215593i | ||||
\(290\) | 16.0423 | + | 5.40529i | 0.942038 | + | 0.317410i | ||||
\(291\) | −1.28959 | − | 10.6387i | −0.0755970 | − | 0.623654i | ||||
\(292\) | −0.889412 | − | 1.92243i | −0.0520489 | − | 0.112502i | ||||
\(293\) | −18.1638 | − | 0.984813i | −1.06114 | − | 0.0575334i | −0.484707 | − | 0.874677i | \(-0.661074\pi\) |
−0.576435 | + | 0.817143i | \(0.695556\pi\) | |||||||
\(294\) | −14.5652 | + | 3.39436i | −0.849462 | + | 0.197963i | ||||
\(295\) | 14.6210 | + | 3.88898i | 0.851266 | + | 0.226425i | ||||
\(296\) | − | 7.77461i | − | 0.451890i | ||||||
\(297\) | −1.78608 | − | 2.43576i | −0.103639 | − | 0.141337i | ||||
\(298\) | 11.8296 | − | 5.47293i | 0.685268 | − | 0.317039i | ||||
\(299\) | 0.250391 | − | 2.30231i | 0.0144805 | − | 0.133146i | ||||
\(300\) | −0.924849 | − | 0.0890908i | −0.0533962 | − | 0.00514366i | ||||
\(301\) | −6.60539 | + | 2.63183i | −0.380728 | + | 0.151696i | ||||
\(302\) | −2.61814 | + | 1.77514i | −0.150657 | + | 0.102148i | ||||
\(303\) | 1.32472 | + | 19.9025i | 0.0761031 | + | 1.14337i | ||||
\(304\) | 22.5874 | − | 26.5919i | 1.29548 | − | 1.52515i | ||||
\(305\) | 1.71923 | − | 4.31494i | 0.0984428 | − | 0.247073i | ||||
\(306\) | −13.5010 | − | 16.8818i | −0.771798 | − | 0.965069i | ||||
\(307\) | −6.97376 | + | 2.34973i | −0.398014 | + | 0.134106i | −0.511188 | − | 0.859469i | \(-0.670795\pi\) |
0.113175 | + | 0.993575i | \(0.463898\pi\) | |||||||
\(308\) | 0.221822 | + | 0.261149i | 0.0126395 | + | 0.0148804i | ||||
\(309\) | 15.7910 | + | 16.2650i | 0.898317 | + | 0.925282i | ||||
\(310\) | −14.1810 | + | 1.54227i | −0.805424 | + | 0.0875952i | ||||
\(311\) | −5.52342 | + | 25.0931i | −0.313204 | + | 1.42290i | 0.512446 | + | 0.858719i | \(0.328739\pi\) |
−0.825650 | + | 0.564182i | \(0.809192\pi\) | |||||||
\(312\) | 7.10526 | + | 2.73024i | 0.402256 | + | 0.154569i | ||||
\(313\) | 3.06488 | − | 3.23556i | 0.173238 | − | 0.182885i | −0.633595 | − | 0.773665i | \(-0.718421\pi\) |
0.806832 | + | 0.590780i | \(0.201180\pi\) | |||||||
\(314\) | −11.5495 | − | 6.12318i | −0.651779 | − | 0.345551i | ||||
\(315\) | −0.178898 | − | 7.27262i | −0.0100798 | − | 0.409766i | ||||
\(316\) | 5.45974 | + | 3.28501i | 0.307134 | + | 0.184796i | ||||
\(317\) | 26.8984 | − | 4.40977i | 1.51076 | − | 0.247677i | 0.651279 | − | 0.758838i | \(-0.274233\pi\) |
0.859485 | + | 0.511161i | \(0.170784\pi\) | |||||||
\(318\) | −7.36569 | − | 4.86293i | −0.413047 | − | 0.272700i | ||||
\(319\) | 3.05750 | − | 0.848910i | 0.171187 | − | 0.0475298i | ||||
\(320\) | 6.29090 | − | 8.27554i | 0.351672 | − | 0.462617i | ||||
\(321\) | −5.88737 | − | 4.87743i | −0.328601 | − | 0.272231i | ||||
\(322\) | 0.654483 | − | 2.35723i | 0.0364729 | − | 0.131363i | ||||
\(323\) | −29.8366 | + | 15.8184i | −1.66015 | + | 0.880158i | ||||
\(324\) | 3.55454 | + | 2.43595i | 0.197474 | + | 0.135331i | ||||
\(325\) | −2.05280 | + | 0.111300i | −0.113869 | + | 0.00617380i | ||||
\(326\) | −10.1384 | − | 19.1231i | −0.561516 | − | 1.05913i | ||||
\(327\) | −24.8355 | − | 1.04043i | −1.37341 | − | 0.0575360i | ||||
\(328\) | 11.1025 | + | 14.6052i | 0.613036 | + | 0.806435i | ||||
\(329\) | 9.95731 | + | 7.56935i | 0.548964 | + | 0.417312i | ||||
\(330\) | 2.74032 | − | 1.49628i | 0.150850 | − | 0.0823675i | ||||
\(331\) | −17.2176 | + | 16.3094i | −0.946366 | + | 0.896445i | −0.994745 | − | 0.102384i | \(-0.967353\pi\) |
0.0483794 | + | 0.998829i | \(0.484594\pi\) | |||||||
\(332\) | 0.965504 | + | 5.88932i | 0.0529889 | + | 0.323218i | ||||
\(333\) | 0.814517 | − | 9.70435i | 0.0446352 | − | 0.531795i | ||||
\(334\) | −12.6069 | + | 27.2494i | −0.689821 | + | 1.49102i | ||||
\(335\) | −7.36959 | + | 13.9005i | −0.402644 | + | 0.759467i | ||||
\(336\) | 8.70269 | + | 5.09154i | 0.474771 | + | 0.277766i | ||||
\(337\) | −10.8142 | − | 7.33221i | −0.589087 | − | 0.399411i | 0.229908 | − | 0.973212i | \(-0.426158\pi\) |
−0.818994 | + | 0.573802i | \(0.805468\pi\) | |||||||
\(338\) | 14.8119 | + | 3.26035i | 0.805662 | + | 0.177340i | ||||
\(339\) | 7.62410 | − | 2.67370i | 0.414084 | − | 0.145215i | ||||
\(340\) | 3.69822 | − | 2.22514i | 0.200564 | − | 0.120675i | ||||
\(341\) | −2.03789 | + | 1.73100i | −0.110358 | + | 0.0937386i | ||||
\(342\) | 24.7058 | − | 24.5831i | 1.33593 | − | 1.32930i | ||||
\(343\) | −15.0106 | + | 3.30407i | −0.810494 | + | 0.178403i | ||||
\(344\) | −12.8499 | − | 5.11988i | −0.692821 | − | 0.276045i | ||||
\(345\) | −3.82876 | − | 1.96995i | −0.206134 | − | 0.106059i | ||||
\(346\) | −0.246343 | + | 1.50262i | −0.0132435 | + | 0.0807816i | ||||
\(347\) | 9.39392 | + | 13.8550i | 0.504292 | + | 0.743775i | 0.991584 | − | 0.129464i | \(-0.0413256\pi\) |
−0.487292 | + | 0.873239i | \(0.662015\pi\) | |||||||
\(348\) | −3.71544 | + | 2.58638i | −0.199168 | + | 0.138645i | ||||
\(349\) | −10.8681 | + | 32.2553i | −0.581754 | + | 1.72658i | 0.0999848 | + | 0.994989i | \(0.468121\pi\) |
−0.681739 | + | 0.731596i | \(0.738776\pi\) | |||||||
\(350\) | −2.15895 | − | 0.234800i | −0.115401 | − | 0.0125506i | ||||
\(351\) | 8.58283 | + | 4.15231i | 0.458118 | + | 0.221634i | ||||
\(352\) | −0.0835326 | + | 1.54067i | −0.00445230 | + | 0.0821179i | ||||
\(353\) | 25.2971 | 1.34643 | 0.673214 | − | 0.739448i | \(-0.264913\pi\) | ||||
0.673214 | + | 0.739448i | \(0.264913\pi\) | |||||||
\(354\) | −16.3772 | + | 13.0588i | −0.870438 | + | 0.694070i | ||||
\(355\) | −16.1209 | −0.855606 | ||||||||
\(356\) | −0.401560 | + | 7.40635i | −0.0212827 | + | 0.392536i | ||||
\(357\) | −6.00105 | − | 7.69595i | −0.317609 | − | 0.407313i | ||||
\(358\) | −32.7179 | − | 3.55829i | −1.72920 | − | 0.188061i | ||||
\(359\) | −9.79686 | + | 29.0760i | −0.517058 | + | 1.53457i | 0.297633 | + | 0.954680i | \(0.403803\pi\) |
−0.814692 | + | 0.579895i | \(0.803094\pi\) | |||||||
\(360\) | 9.47685 | − | 10.5107i | 0.499474 | − | 0.553960i | ||||
\(361\) | −19.8934 | − | 29.3405i | −1.04702 | − | 1.54424i | ||||
\(362\) | −0.800028 | + | 4.87995i | −0.0420485 | + | 0.256485i | ||||
\(363\) | −8.44896 | + | 16.4212i | −0.443455 | + | 0.861891i | ||||
\(364\) | −1.00479 | − | 0.400344i | −0.0526652 | − | 0.0209837i | ||||
\(365\) | −8.51023 | + | 1.87324i | −0.445446 | + | 0.0980501i | ||||
\(366\) | 3.38286 | + | 5.46898i | 0.176825 | + | 0.285868i | ||||
\(367\) | −21.6596 | + | 18.3978i | −1.13062 | + | 0.960358i | −0.999519 | − | 0.0310106i | \(-0.990127\pi\) |
−0.131102 | + | 0.991369i | \(0.541852\pi\) | |||||||
\(368\) | 5.11351 | − | 3.07670i | 0.266560 | − | 0.160384i | ||||
\(369\) | 12.3282 | + | 19.3935i | 0.641781 | + | 1.00959i | ||||
\(370\) | 9.83127 | + | 2.16403i | 0.511103 | + | 0.112502i | ||||
\(371\) | −3.29812 | − | 2.23618i | −0.171230 | − | 0.116097i | ||||
\(372\) | 1.92631 | − | 3.29253i | 0.0998743 | − | 0.170710i | ||||
\(373\) | 0.634384 | − | 1.19657i | 0.0328471 | − | 0.0619563i | −0.866545 | − | 0.499099i | \(-0.833665\pi\) |
0.899392 | + | 0.437142i | \(0.144009\pi\) | |||||||
\(374\) | 1.75867 | − | 3.80131i | 0.0909389 | − | 0.196561i | ||||
\(375\) | −6.42325 | + | 19.8676i | −0.331695 | + | 1.02596i | ||||
\(376\) | 3.93650 | + | 24.0116i | 0.203010 | + | 1.23830i | ||||
\(377\) | −7.27200 | + | 6.88840i | −0.374527 | + | 0.354771i | ||||
\(378\) | 8.23747 | + | 5.79534i | 0.423690 | + | 0.298080i | ||||
\(379\) | 21.1603 | + | 16.0857i | 1.08693 | + | 0.826265i | 0.985685 | − | 0.168596i | \(-0.0539234\pi\) |
0.101248 | + | 0.994861i | \(0.467717\pi\) | |||||||
\(380\) | 4.21129 | + | 5.53986i | 0.216035 | + | 0.284189i | ||||
\(381\) | 0.525786 | − | 12.5507i | 0.0269368 | − | 0.642992i | ||||
\(382\) | −13.8660 | − | 26.1540i | −0.709444 | − | 1.33815i | ||||
\(383\) | 20.3596 | − | 1.10386i | 1.04033 | − | 0.0564048i | 0.473949 | − | 0.880552i | \(-0.342828\pi\) |
0.566376 | + | 0.824147i | \(0.308345\pi\) | |||||||
\(384\) | 6.58915 | + | 22.6478i | 0.336251 | + | 1.15574i | ||||
\(385\) | 1.24538 | − | 0.660257i | 0.0634703 | − | 0.0336498i | ||||
\(386\) | 0.270157 | − | 0.973019i | 0.0137507 | − | 0.0495254i | ||||
\(387\) | −15.5030 | − | 7.73693i | −0.788063 | − | 0.393290i | ||||
\(388\) | −1.79277 | + | 2.35835i | −0.0910141 | + | 0.119727i | ||||
\(389\) | 4.58347 | − | 1.27259i | 0.232391 | − | 0.0645231i | −0.149380 | − | 0.988780i | \(-0.547728\pi\) |
0.381772 | + | 0.924257i | \(0.375314\pi\) | |||||||
\(390\) | −5.43020 | + | 8.22491i | −0.274969 | + | 0.416484i | ||||
\(391\) | −5.70014 | + | 0.934491i | −0.288268 | + | 0.0472592i | ||||
\(392\) | −11.2548 | − | 6.77180i | −0.568454 | − | 0.342027i | ||||
\(393\) | −9.76343 | − | 2.02355i | −0.492500 | − | 0.102075i | ||||
\(394\) | 32.0109 | + | 16.9711i | 1.61269 | + | 0.854992i | ||||
\(395\) | 18.0264 | − | 19.0302i | 0.907007 | − | 0.957515i | ||||
\(396\) | −0.114776 | + | 0.827015i | −0.00576769 | + | 0.0415591i | ||||
\(397\) | 3.12096 | − | 14.1787i | 0.156637 | − | 0.711607i | −0.831182 | − | 0.556000i | \(-0.812336\pi\) |
0.987819 | − | 0.155607i | \(-0.0497334\pi\) | |||||||
\(398\) | −10.9748 | + | 1.19358i | −0.550118 | + | 0.0598290i | ||||
\(399\) | 11.2895 | − | 10.9605i | 0.565180 | − | 0.548709i | ||||
\(400\) | −3.42958 | − | 4.03762i | −0.171479 | − | 0.201881i | ||||
\(401\) | −11.3317 | + | 3.81809i | −0.565877 | + | 0.190666i | −0.587676 | − | 0.809096i | \(-0.699957\pi\) |
0.0217990 | + | 0.999762i | \(0.493061\pi\) | |||||||
\(402\) | −9.38859 | − | 19.6552i | −0.468260 | − | 0.980312i | ||||
\(403\) | 3.12410 | − | 7.84089i | 0.155622 | − | 0.390583i | ||||
\(404\) | 3.56958 | − | 4.20244i | 0.177593 | − | 0.209079i | ||||
\(405\) | 12.9303 | − | 12.1267i | 0.642511 | − | 0.602579i | ||||
\(406\) | −8.75786 | + | 5.93798i | −0.434645 | + | 0.294697i | ||||
\(407\) | 1.75292 | − | 0.698427i | 0.0868890 | − | 0.0346198i | ||||
\(408\) | 1.82041 | − | 18.8976i | 0.0901237 | − | 0.935571i | ||||
\(409\) | −1.01511 | + | 9.33378i | −0.0501940 | + | 0.461526i | 0.941887 | + | 0.335929i | \(0.109050\pi\) |
−0.992081 | + | 0.125597i | \(0.959915\pi\) | |||||||
\(410\) | −21.5591 | + | 9.97430i | −1.06473 | + | 0.492595i | ||||
\(411\) | 31.9965 | − | 5.65044i | 1.57827 | − | 0.278716i | ||||
\(412\) | − | 6.26654i | − | 0.308730i | ||||||
\(413\) | −7.46570 | + | 5.80427i | −0.367363 | + | 0.285610i | ||||
\(414\) | 5.34716 | − | 2.63539i | 0.262799 | − | 0.129522i | ||||
\(415\) | 24.5151 | + | 1.32917i | 1.20340 | + | 0.0652464i | ||||
\(416\) | −2.04507 | − | 4.42036i | −0.100268 | − | 0.216726i | ||||
\(417\) | 22.5784 | − | 2.73687i | 1.10567 | − | 0.134025i | ||||
\(418\) | 6.39957 | + | 2.15627i | 0.313013 | + | 0.105466i | ||||
\(419\) | 9.49756 | + | 23.8371i | 0.463986 | + | 1.16452i | 0.955853 | + | 0.293847i | \(0.0949356\pi\) |
−0.491866 | + | 0.870671i | \(0.663685\pi\) | |||||||
\(420\) | −1.36489 | + | 1.47686i | −0.0666000 | + | 0.0720634i | ||||
\(421\) | −26.4633 | − | 4.33844i | −1.28974 | − | 0.211443i | −0.522411 | − | 0.852694i | \(-0.674967\pi\) |
−0.767331 | + | 0.641251i | \(0.778416\pi\) | |||||||
\(422\) | 9.85037 | + | 8.36698i | 0.479509 | + | 0.407298i | ||||
\(423\) | 2.39798 | + | 30.3840i | 0.116594 | + | 1.47732i | ||||
\(424\) | −1.66640 | − | 7.57054i | −0.0809276 | − | 0.367658i | ||||
\(425\) | 1.63724 | + | 4.85917i | 0.0794180 | + | 0.235704i | ||||
\(426\) | 13.2874 | − | 17.9328i | 0.643776 | − | 0.868845i | ||||
\(427\) | 1.49678 | + | 2.48766i | 0.0724340 | + | 0.120386i | ||||
\(428\) | 0.228498 | + | 2.10100i | 0.0110449 | + | 0.101556i | ||||
\(429\) | 0.0227170 | + | 1.84727i | 0.00109679 | + | 0.0891872i | ||||
\(430\) | 10.0510 | − | 14.8241i | 0.484702 | − | 0.714881i | ||||
\(431\) | 6.05453 | + | 5.73515i | 0.291636 | + | 0.276253i | 0.819503 | − | 0.573074i | \(-0.194249\pi\) |
−0.527867 | + | 0.849327i | \(0.677008\pi\) | |||||||
\(432\) | 4.86638 | + | 24.0824i | 0.234134 | + | 1.15867i | ||||
\(433\) | 16.4384 | + | 7.60521i | 0.789979 | + | 0.365483i | 0.773027 | − | 0.634373i | \(-0.218742\pi\) |
0.0169518 | + | 0.999856i | \(0.494604\pi\) | |||||||
\(434\) | 4.59669 | − | 7.63976i | 0.220648 | − | 0.366720i | ||||
\(435\) | 7.10545 | + | 17.2146i | 0.340680 | + | 0.825378i | ||||
\(436\) | 4.72540 | + | 4.98855i | 0.226306 | + | 0.238908i | ||||
\(437\) | −2.49152 | − | 8.97366i | −0.119186 | − | 0.429268i | ||||
\(438\) | 4.93065 | − | 11.0107i | 0.235595 | − | 0.526113i | ||||
\(439\) | 25.4850 | − | 19.3732i | 1.21633 | − | 0.924634i | 0.217656 | − | 0.976026i | \(-0.430159\pi\) |
0.998679 | + | 0.0513919i | \(0.0163657\pi\) | |||||||
\(440\) | 2.64219 | + | 0.733601i | 0.125962 | + | 0.0349731i | ||||
\(441\) | −13.3389 | − | 9.63176i | −0.635187 | − | 0.458655i | ||||
\(442\) | 0.715795 | + | 13.2021i | 0.0340469 | + | 0.627958i | ||||
\(443\) | −0.548967 | − | 10.1251i | −0.0260822 | − | 0.481058i | −0.982172 | − | 0.187984i | \(-0.939805\pi\) |
0.956090 | − | 0.293074i | \(-0.0946782\pi\) | |||||||
\(444\) | −2.03017 | + | 1.76787i | −0.0963474 | + | 0.0838994i | ||||
\(445\) | 29.4010 | + | 8.16316i | 1.39374 | + | 0.386971i | ||||
\(446\) | 27.6740 | − | 21.0372i | 1.31040 | − | 0.996141i | ||||
\(447\) | 13.0870 | + | 5.86041i | 0.618994 | + | 0.277188i | ||||
\(448\) | 1.73826 | + | 6.26065i | 0.0821251 | + | 0.295788i | ||||
\(449\) | −14.5526 | − | 15.3630i | −0.686778 | − | 0.725023i | 0.285622 | − | 0.958342i | \(-0.407800\pi\) |
−0.972400 | + | 0.233320i | \(0.925041\pi\) | |||||||
\(450\) | −3.07655 | − | 4.30568i | −0.145030 | − | 0.202972i | ||||
\(451\) | −2.29560 | + | 3.81531i | −0.108095 | + | 0.179656i | ||||
\(452\) | −2.02696 | − | 0.937770i | −0.0953400 | − | 0.0441090i | ||||
\(453\) | −3.36424 | − | 0.889668i | −0.158066 | − | 0.0418002i | ||||
\(454\) | −10.0447 | − | 9.51486i | −0.471422 | − | 0.446554i | ||||
\(455\) | −2.49703 | + | 3.68285i | −0.117063 | + | 0.172655i | ||||
\(456\) | 30.6077 | − | 0.376401i | 1.43334 | − | 0.0176266i | ||||
\(457\) | 2.45583 | + | 22.5810i | 0.114879 | + | 1.05629i | 0.899681 | + | 0.436548i | \(0.143799\pi\) |
−0.784802 | + | 0.619746i | \(0.787235\pi\) | |||||||
\(458\) | −21.7701 | − | 36.1822i | −1.01725 | − | 1.69068i | ||||
\(459\) | 4.25209 | − | 23.3975i | 0.198470 | − | 1.09210i | ||||
\(460\) | 0.380052 | + | 1.12796i | 0.0177200 | + | 0.0525912i | ||||
\(461\) | −0.789506 | − | 3.58676i | −0.0367709 | − | 0.167052i | 0.954657 | − | 0.297709i | \(-0.0962225\pi\) |
−0.991428 | + | 0.130657i | \(0.958291\pi\) | |||||||
\(462\) | −0.292017 | + | 1.92956i | −0.0135859 | + | 0.0897711i | ||||
\(463\) | −24.8342 | − | 21.0943i | −1.15414 | − | 0.980336i | −0.154171 | − | 0.988044i | \(-0.549271\pi\) |
−0.999970 | + | 0.00770801i | \(0.997546\pi\) | |||||||
\(464\) | −25.4715 | − | 4.17583i | −1.18248 | − | 0.193858i | ||||
\(465\) | −11.5247 | − | 10.6510i | −0.534446 | − | 0.493928i | ||||
\(466\) | 2.03313 | + | 5.10277i | 0.0941830 | + | 0.236381i | ||||
\(467\) | −4.37341 | − | 1.47357i | −0.202377 | − | 0.0681888i | 0.216287 | − | 0.976330i | \(-0.430605\pi\) |
−0.418665 | + | 0.908141i | \(0.637502\pi\) | |||||||
\(468\) | −0.902727 | − | 2.47621i | −0.0417286 | − | 0.114463i | ||||
\(469\) | −4.12920 | − | 8.92512i | −0.190669 | − | 0.412124i | ||||
\(470\) | −31.4592 | − | 1.70567i | −1.45111 | − | 0.0786767i | ||||
\(471\) | −3.26399 | − | 14.0058i | −0.150397 | − | 0.645355i | ||||
\(472\) | −18.3092 | − | 1.79029i | −0.842747 | − | 0.0824048i | ||||
\(473\) | − | 3.35718i | − | 0.154363i | ||||||
\(474\) | 6.31114 | + | 35.7378i | 0.289880 | + | 1.64149i | ||||
\(475\) | −7.50318 | + | 3.47134i | −0.344270 | + | 0.159276i | ||||
\(476\) | −0.291675 | + | 2.68191i | −0.0133689 | + | 0.122925i | ||||
\(477\) | −1.28688 | − | 9.62421i | −0.0589224 | − | 0.440663i | ||||
\(478\) | −27.8328 | + | 11.0896i | −1.27304 | + | 0.507227i | ||||
\(479\) | 17.8136 | − | 12.0779i | 0.813926 | − | 0.551855i | −0.0817034 | − | 0.996657i | \(-0.526036\pi\) |
0.895629 | + | 0.444801i | \(0.146726\pi\) | |||||||
\(480\) | −9.03553 | + | 0.601408i | −0.412413 | + | 0.0274504i | ||||
\(481\) | −3.85611 | + | 4.53976i | −0.175823 | + | 0.206995i | ||||
\(482\) | 3.22574 | − | 8.09599i | 0.146928 | − | 0.368762i | ||||
\(483\) | 2.42852 | − | 1.16002i | 0.110501 | − | 0.0527825i | ||||
\(484\) | 4.83771 | − | 1.63001i | 0.219896 | − | 0.0740915i | ||||
\(485\) | 7.88959 | + | 9.28835i | 0.358248 | + | 0.421762i | ||||
\(486\) | 2.83205 | + | 24.3788i | 0.128464 | + | 1.10584i | ||||
\(487\) | −8.91828 | + | 0.969922i | −0.404126 | + | 0.0439513i | −0.307925 | − | 0.951411i | \(-0.599635\pi\) |
−0.0962009 | + | 0.995362i | \(0.530669\pi\) | |||||||
\(488\) | −1.21412 | + | 5.51582i | −0.0549608 | + | 0.249690i | ||||
\(489\) | 8.54087 | − | 22.2270i | 0.386231 | − | 1.00514i | ||||
\(490\) | 11.6959 | − | 12.3472i | 0.528367 | − | 0.557791i | ||||
\(491\) | −24.0329 | − | 12.7414i | −1.08459 | − | 0.575012i | −0.172501 | − | 0.985009i | \(-0.555185\pi\) |
−0.912087 | + | 0.409998i | \(0.865530\pi\) | |||||||
\(492\) | 1.28920 | − | 6.22026i | 0.0581215 | − | 0.280431i | ||||
\(493\) | 21.4070 | + | 12.8802i | 0.964123 | + | 0.580093i | ||||
\(494\) | −21.0364 | + | 3.44874i | −0.946470 | + | 0.155166i | ||||
\(495\) | 3.22116 | + | 1.19250i | 0.144780 | + | 0.0535990i | ||||
\(496\) | 20.9569 | − | 5.81867i | 0.940994 | − | 0.261266i | ||||
\(497\) | 6.09791 | − | 8.02167i | 0.273529 | − | 0.359821i | ||||
\(498\) | −21.6848 | + | 26.1749i | −0.971718 | + | 1.17293i | ||||
\(499\) | −1.15475 | + | 4.15904i | −0.0516938 | + | 0.186184i | −0.984889 | − | 0.173185i | \(-0.944594\pi\) |
0.933196 | + | 0.359369i | \(0.117008\pi\) | |||||||
\(500\) | 5.09956 | − | 2.70361i | 0.228059 | − | 0.120909i | ||||
\(501\) | −31.7155 | + | 9.22729i | −1.41694 | + | 0.412245i | ||||
\(502\) | −11.6666 | + | 0.632545i | −0.520706 | + | 0.0282319i | ||||
\(503\) | 8.46275 | + | 15.9624i | 0.377335 | + | 0.711730i | 0.997342 | − | 0.0728668i | \(-0.0232148\pi\) |
−0.620006 | + | 0.784597i | \(0.712870\pi\) | |||||||
\(504\) | 1.64532 | + | 8.69143i | 0.0732885 | + | 0.387147i | ||||
\(505\) | −13.7272 | − | 18.0578i | −0.610852 | − | 0.803562i | ||||
\(506\) | 0.919545 | + | 0.699020i | 0.0408788 | + | 0.0310752i | ||||
\(507\) | 7.99607 | + | 14.6442i | 0.355118 | + | 0.650371i | ||||
\(508\) | −2.52098 | + | 2.38800i | −0.111850 | + | 0.105950i | ||||
\(509\) | −4.49623 | − | 27.4258i | −0.199292 | − | 1.21563i | −0.877070 | − | 0.480362i | \(-0.840505\pi\) |
0.677778 | − | 0.735266i | \(-0.262943\pi\) | |||||||
\(510\) | 23.3900 | + | 7.56204i | 1.03573 | + | 0.334853i | ||||
\(511\) | 2.28698 | − | 4.94323i | 0.101170 | − | 0.218676i | ||||
\(512\) | −4.73010 | + | 8.92191i | −0.209043 | + | 0.394296i | ||||
\(513\) | 38.2443 | + | 2.73682i | 1.68853 | + | 0.120834i | ||||
\(514\) | 18.3012 | + | 12.4085i | 0.807229 | + | 0.547315i | ||||
\(515\) | −25.1768 | − | 5.54183i | −1.10942 | − | 0.244202i | ||||
\(516\) | 1.58501 | + | 4.51968i | 0.0697760 | + | 0.198968i | ||||
\(517\) | −5.06020 | + | 3.04462i | −0.222547 | + | 0.133902i | ||||
\(518\) | −4.79561 | + | 4.07343i | −0.210707 | + | 0.178976i | ||||
\(519\) | −1.42462 | + | 0.881208i | −0.0625341 | + | 0.0386807i | ||||
\(520\) | −8.45365 | + | 1.86079i | −0.370717 | + | 0.0816010i | ||||
\(521\) | 28.9585 | + | 11.5381i | 1.26869 | + | 0.505494i | 0.904757 | − | 0.425929i | \(-0.140053\pi\) |
0.363938 | + | 0.931423i | \(0.381432\pi\) | |||||||
\(522\) | −25.0060 | − | 6.28484i | −1.09448 | − | 0.275080i | ||||
\(523\) | 5.85723 | − | 35.7275i | 0.256119 | − | 1.56226i | −0.474987 | − | 0.879993i | \(-0.657547\pi\) |
0.731106 | − | 0.682264i | \(-0.239004\pi\) | |||||||
\(524\) | 1.54678 | + | 2.28133i | 0.0675715 | + | 0.0996605i | ||||
\(525\) | −1.36495 | − | 1.96081i | −0.0595714 | − | 0.0855766i | ||||
\(526\) | 3.99342 | − | 11.8520i | 0.174121 | − | 0.516774i | ||||
\(527\) | −20.9283 | − | 2.27609i | −0.911652 | − | 0.0991482i | ||||
\(528\) | −3.75413 | + | 2.92735i | −0.163377 | + | 0.127396i | ||||
\(529\) | −1.15895 | + | 21.3757i | −0.0503893 | + | 0.929376i | ||||
\(530\) | 10.0371 | 0.435982 | ||||||||
\(531\) | −22.6661 | − | 4.15284i | −0.983627 | − | 0.180218i | ||||
\(532\) | −4.34958 | −0.188578 | ||||||||
\(533\) | 0.760955 | − | 14.0350i | 0.0329606 | − | 0.607923i | ||||
\(534\) | −33.3140 | + | 25.9772i | −1.44164 | + | 1.12414i | ||||
\(535\) | 8.64319 | + | 0.940003i | 0.373678 | + | 0.0406399i | ||||
\(536\) | 6.10850 | − | 18.1294i | 0.263847 | − | 0.783069i | ||||
\(537\) | −20.6853 | − | 29.7151i | −0.892635 | − | 1.28230i | ||||
\(538\) | −28.1640 | − | 41.5387i | −1.21423 | − | 1.79086i | ||||
\(539\) | 0.515750 | − | 3.14593i | 0.0222149 | − | 0.135505i | ||||
\(540\) | −4.89957 | − | 0.0846459i | −0.210844 | − | 0.00364258i | ||||
\(541\) | 6.91252 | + | 2.75420i | 0.297192 | + | 0.118412i | 0.513968 | − | 0.857809i | \(-0.328175\pi\) |
−0.216776 | + | 0.976221i | \(0.569554\pi\) | |||||||
\(542\) | −1.37191 | + | 0.301981i | −0.0589287 | + | 0.0129712i | ||||
\(543\) | −4.62664 | + | 2.86183i | −0.198548 | + | 0.122813i | ||||
\(544\) | −9.25868 | + | 7.86440i | −0.396963 | + | 0.337183i | ||||
\(545\) | 24.2212 | − | 14.5734i | 1.03752 | − | 0.624256i | ||||
\(546\) | −2.03864 | − | 5.81322i | −0.0872456 | − | 0.248783i | ||||
\(547\) | 21.0822 | + | 4.64054i | 0.901410 | + | 0.198415i | 0.641415 | − | 0.767195i | \(-0.278348\pi\) |
0.259995 | + | 0.965610i | \(0.416279\pi\) | |||||||
\(548\) | −7.43404 | − | 5.04041i | −0.317567 | − | 0.215315i | ||||
\(549\) | −2.09336 | + | 6.75772i | −0.0893423 | + | 0.288412i | ||||
\(550\) | 0.480288 | − | 0.905919i | 0.0204795 | − | 0.0386285i | ||||
\(551\) | −16.9135 | + | 36.5579i | −0.720538 | + | 1.55742i | ||||
\(552\) | 4.98176 | + | 1.61061i | 0.212038 | + | 0.0685523i | ||||
\(553\) | 2.65065 | + | 16.1683i | 0.112717 | + | 0.687545i | ||||
\(554\) | 12.1930 | − | 11.5498i | 0.518031 | − | 0.490705i | ||||
\(555\) | 5.30732 | + | 9.71993i | 0.225283 | + | 0.412588i | ||||
\(556\) | −5.00507 | − | 3.80476i | −0.212262 | − | 0.161358i | ||||
\(557\) | −20.9731 | − | 27.5896i | −0.888657 | − | 1.16901i | −0.984809 | − | 0.173642i | \(-0.944447\pi\) |
0.0961518 | − | 0.995367i | \(-0.469347\pi\) | |||||||
\(558\) | 21.3472 | − | 4.04111i | 0.903698 | − | 0.171074i | ||||
\(559\) | 4.96395 | + | 9.36301i | 0.209953 | + | 0.396013i | ||||
\(560\) | −11.4491 | + | 0.620754i | −0.483814 | + | 0.0262316i | ||||
\(561\) | 4.42433 | − | 1.28721i | 0.186795 | − | 0.0543462i | ||||
\(562\) | 32.4732 | − | 17.2162i | 1.36980 | − | 0.726222i | ||||
\(563\) | −2.08787 | + | 7.51982i | −0.0879931 | + | 0.316922i | −0.994427 | − | 0.105425i | \(-0.966380\pi\) |
0.906434 | + | 0.422347i | \(0.138794\pi\) | |||||||
\(564\) | 5.37497 | − | 6.48794i | 0.226327 | − | 0.273191i | ||||
\(565\) | −5.56018 | + | 7.31430i | −0.233919 | + | 0.307715i | ||||
\(566\) | −26.6135 | + | 7.38921i | −1.11865 | + | 0.310592i | ||||
\(567\) | 1.14314 | + | 11.0211i | 0.0480074 | + | 0.462843i | ||||
\(568\) | 19.3439 | − | 3.17127i | 0.811651 | − | 0.133063i | ||||
\(569\) | −3.83947 | − | 2.31014i | −0.160959 | − | 0.0968459i | 0.432795 | − | 0.901492i | \(-0.357527\pi\) |
−0.593754 | + | 0.804646i | \(0.702355\pi\) | |||||||
\(570\) | −8.04353 | + | 38.8093i | −0.336907 | + | 1.62554i | ||||
\(571\) | 2.94553 | + | 1.56162i | 0.123267 | + | 0.0653519i | 0.528901 | − | 0.848684i | \(-0.322604\pi\) |
−0.405634 | + | 0.914036i | \(0.632949\pi\) | |||||||
\(572\) | 0.351196 | − | 0.370753i | 0.0146842 | − | 0.0155020i | ||||
\(573\) | 11.6810 | − | 30.3991i | 0.487982 | − | 1.26994i | ||||
\(574\) | 3.19183 | − | 14.5006i | 0.133224 | − | 0.605244i | ||||
\(575\) | −1.40578 | + | 0.152888i | −0.0586251 | + | 0.00637586i | ||||
\(576\) | −8.56025 | + | 13.3192i | −0.356677 | + | 0.554968i | ||||
\(577\) | −26.0605 | − | 30.6807i | −1.08491 | − | 1.27726i | −0.958443 | − | 0.285285i | \(-0.907912\pi\) |
−0.126468 | − | 0.991971i | \(-0.540364\pi\) | |||||||
\(578\) | 5.88638 | − | 1.98335i | 0.244841 | − | 0.0824966i | ||||
\(579\) | 1.00244 | − | 0.478831i | 0.0416601 | − | 0.0198996i | ||||
\(580\) | 1.90550 | − | 4.78244i | 0.0791216 | − | 0.198580i | ||||
\(581\) | −9.93453 | + | 11.6958i | −0.412154 | + | 0.485225i | ||||
\(582\) | −16.8352 | + | 1.12056i | −0.697841 | + | 0.0464485i | ||||
\(583\) | 1.55721 | − | 1.05581i | 0.0644930 | − | 0.0437274i | ||||
\(584\) | 9.84317 | − | 3.92188i | 0.407313 | − | 0.162288i | ||||
\(585\) | −10.7469 | + | 1.43700i | −0.444329 | + | 0.0594127i | ||||
\(586\) | −3.09647 | + | 28.4716i | −0.127914 | + | 1.17615i | ||||
\(587\) | 12.8707 | − | 5.95463i | 0.531231 | − | 0.245774i | −0.135889 | − | 0.990724i | \(-0.543389\pi\) |
0.667120 | + | 0.744950i | \(0.267527\pi\) | |||||||
\(588\) | 0.790932 | + | 4.47879i | 0.0326175 | + | 0.184702i | ||||
\(589\) | − | 33.9421i | − | 1.39856i | ||||||
\(590\) | 7.36016 | − | 22.6543i | 0.303013 | − | 0.932662i | ||||
\(591\) | 9.04653 | + | 38.8188i | 0.372124 | + | 1.59679i | ||||
\(592\) | −15.3264 | − | 0.830975i | −0.629913 | − | 0.0341529i | ||||
\(593\) | −3.54282 | − | 7.65768i | −0.145486 | − | 0.314463i | 0.821109 | − | 0.570772i | \(-0.193356\pi\) |
−0.966595 | + | 0.256308i | \(0.917494\pi\) | |||||||
\(594\) | −3.98153 | + | 2.60030i | −0.163364 | + | 0.106691i | ||||
\(595\) | 10.5170 | + | 3.54360i | 0.431156 | + | 0.145274i | ||||
\(596\) | −1.46716 | − | 3.68228i | −0.0600971 | − | 0.150832i | ||||
\(597\) | −8.91913 | − | 8.24295i | −0.365036 | − | 0.337361i | ||||
\(598\) | −3.59814 | − | 0.589885i | −0.147139 | − | 0.0241222i | ||||
\(599\) | 3.17182 | + | 2.69417i | 0.129597 | + | 0.110081i | 0.709841 | − | 0.704362i | \(-0.248767\pi\) |
−0.580244 | + | 0.814443i | \(0.697043\pi\) | |||||||
\(600\) | 0.695459 | − | 4.59538i | 0.0283920 | − | 0.187605i | ||||
\(601\) | 2.27559 | + | 10.3381i | 0.0928231 | + | 0.421700i | 1.00000 | 0.000949173i | \(0.000302131\pi\) | |
−0.907176 | + | 0.420750i | \(0.861767\pi\) | |||||||
\(602\) | 3.57450 | + | 10.6087i | 0.145686 | + | 0.432379i | ||||
\(603\) | 9.52404 | − | 21.9893i | 0.387849 | − | 0.895474i | ||||
\(604\) | 0.495936 | + | 0.824253i | 0.0201794 | + | 0.0335384i | ||||
\(605\) | −2.27059 | − | 20.8778i | −0.0923127 | − | 0.848802i | ||||
\(606\) | 31.4018 | − | 0.386167i | 1.27561 | − | 0.0156870i | ||||
\(607\) | 0.270748 | − | 0.399324i | 0.0109893 | − | 0.0162081i | −0.822155 | − | 0.569264i | \(-0.807228\pi\) |
0.833144 | + | 0.553056i | \(0.186539\pi\) | |||||||
\(608\) | −14.2196 | − | 13.4695i | −0.576680 | − | 0.546260i | ||||
\(609\) | −11.2536 | − | 2.97601i | −0.456021 | − | 0.120594i | ||||
\(610\) | −6.63701 | − | 3.07061i | −0.268725 | − | 0.124325i | ||||
\(611\) | 9.61084 | − | 15.9733i | 0.388813 | − | 0.646212i | ||||
\(612\) | −5.34863 | + | 3.82177i | −0.216206 | + | 0.154486i | ||||
\(613\) | 16.0523 | + | 16.9462i | 0.648347 | + | 0.684452i | 0.964448 | − | 0.264274i | \(-0.0851323\pi\) |
−0.316100 | + | 0.948726i | \(0.602374\pi\) | |||||||
\(614\) | 3.09961 | + | 11.1638i | 0.125090 | + | 0.450534i | ||||
\(615\) | −23.8508 | − | 10.6805i | −0.961755 | − | 0.430678i | ||||
\(616\) | −1.36448 | + | 1.03725i | −0.0549764 | + | 0.0417920i | ||||
\(617\) | 2.85909 | + | 0.793822i | 0.115103 | + | 0.0319581i | 0.324602 | − | 0.945851i | \(-0.394770\pi\) |
−0.209499 | + | 0.977809i | \(0.567183\pi\) | |||||||
\(618\) | 26.9163 | − | 23.4387i | 1.08273 | − | 0.942845i | ||||
\(619\) | 1.02075 | + | 18.8266i | 0.0410273 | + | 0.756704i | 0.944591 | + | 0.328250i | \(0.106459\pi\) |
−0.903564 | + | 0.428454i | \(0.859058\pi\) | |||||||
\(620\) | 0.234853 | + | 4.33160i | 0.00943190 | + | 0.173961i | ||||
\(621\) | 6.04956 | + | 2.53231i | 0.242760 | + | 0.101618i | ||||
\(622\) | 38.9783 | + | 10.8223i | 1.56289 | + | 0.433934i | ||||
\(623\) | −15.1833 | + | 11.5420i | −0.608304 | + | 0.462421i | ||||
\(624\) | 6.14168 | − | 13.7151i | 0.245864 | − | 0.549044i | ||||
\(625\) | −4.85371 | − | 17.4815i | −0.194148 | − | 0.699259i | ||||
\(626\) | −4.82541 | − | 5.09412i | −0.192862 | − | 0.203602i | ||||
\(627\) | 2.83449 | + | 6.86722i | 0.113199 | + | 0.274250i | ||||
\(628\) | −2.04953 | + | 3.40634i | −0.0817850 | + | 0.135928i | ||||
\(629\) | 13.4833 | + | 6.23803i | 0.537614 | + | 0.248727i | ||||
\(630\) | −11.4486 | − | 0.338650i | −0.456123 | − | 0.0134921i | ||||
\(631\) | −30.7831 | − | 29.1593i | −1.22545 | − | 1.16081i | −0.981590 | − | 0.191002i | \(-0.938826\pi\) |
−0.243864 | − | 0.969809i | \(-0.578415\pi\) | |||||||
\(632\) | −17.8868 | + | 26.3810i | −0.711498 | + | 1.04938i | ||||
\(633\) | 0.174837 | + | 14.2172i | 0.00694914 | + | 0.565082i | ||||
\(634\) | −4.63989 | − | 42.6631i | −0.184274 | − | 1.69437i | ||||
\(635\) | 7.36473 | + | 12.2403i | 0.292260 | + | 0.485740i | ||||
\(636\) | −1.59795 | + | 2.15661i | −0.0633630 | + | 0.0855152i | ||||
\(637\) | 3.21320 | + | 9.53644i | 0.127312 | + | 0.377848i | ||||
\(638\) | −1.07397 | − | 4.87908i | −0.0425187 | − | 0.193165i | ||||
\(639\) | 24.4775 | − | 1.93183i | 0.968315 | − | 0.0764219i | ||||
\(640\) | −20.4433 | − | 17.3647i | −0.808093 | − | 0.686400i | ||||
\(641\) | 7.17433 | + | 1.17617i | 0.283369 | + | 0.0464560i | 0.301790 | − | 0.953374i | \(-0.402416\pi\) |
−0.0184214 | + | 0.999830i | \(0.505864\pi\) | |||||||
\(642\) | −8.16967 | + | 8.83985i | −0.322431 | + | 0.348881i | ||||
\(643\) | 16.5967 | + | 41.6546i | 0.654511 | + | 1.64270i | 0.761287 | + | 0.648415i | \(0.224568\pi\) |
−0.106776 | + | 0.994283i | \(0.534053\pi\) | |||||||
\(644\) | −0.705025 | − | 0.237551i | −0.0277819 | − | 0.00936081i | ||||
\(645\) | 19.5602 | − | 2.37102i | 0.770184 | − | 0.0933588i | ||||
\(646\) | 22.3250 | + | 48.2547i | 0.878366 | + | 1.89856i | ||||
\(647\) | 9.71389 | + | 0.526672i | 0.381893 | + | 0.0207056i | 0.244086 | − | 0.969754i | \(-0.421512\pi\) |
0.137806 | + | 0.990459i | \(0.455995\pi\) | |||||||
\(648\) | −13.1299 | + | 17.0948i | −0.515790 | + | 0.671546i | ||||
\(649\) | −1.24114 | − | 4.28895i | −0.0487190 | − | 0.168356i | ||||
\(650\) | 3.23672i | 0.126955i | ||||||||
\(651\) | 9.65925 | − | 1.70578i | 0.378576 | − | 0.0668547i | ||||
\(652\) | −5.97387 | + | 2.76381i | −0.233955 | + | 0.108239i | ||||
\(653\) | −0.633691 | + | 5.82669i | −0.0247982 | + | 0.228016i | 0.975180 | + | 0.221414i | \(0.0710671\pi\) |
−0.999978 | + | 0.00660236i | \(0.997898\pi\) | |||||||
\(654\) | −3.75258 | + | 38.9554i | −0.146738 | + | 1.52328i | ||||
\(655\) | 10.5335 | − | 4.19694i | 0.411579 | − | 0.163988i | ||||
\(656\) | 29.9785 | − | 20.3259i | 1.17046 | − | 0.793594i | ||||
\(657\) | 12.6972 | − | 3.86410i | 0.495366 | − | 0.150753i | ||||
\(658\) | 12.7486 | − | 15.0088i | 0.496991 | − | 0.585104i | ||||
\(659\) | −1.82458 | + | 4.57936i | −0.0710757 | + | 0.178387i | −0.960223 | − | 0.279235i | \(-0.909919\pi\) |
0.889147 | + | 0.457621i | \(0.151299\pi\) | |||||||
\(660\) | −0.409246 | − | 0.856764i | −0.0159299 | − | 0.0333495i | ||||
\(661\) | 36.2801 | − | 12.2242i | 1.41113 | − | 0.475466i | 0.492407 | − | 0.870365i | \(-0.336117\pi\) |
0.918724 | + | 0.394900i | \(0.129221\pi\) | |||||||
\(662\) | 24.1726 | + | 28.4581i | 0.939493 | + | 1.10606i | ||||
\(663\) | −10.4360 | + | 10.1318i | −0.405299 | + | 0.393487i | ||||
\(664\) | −29.6778 | + | 3.22766i | −1.15172 | + | 0.125258i | ||||
\(665\) | −3.84657 | + | 17.4751i | −0.149163 | + | 0.677657i | ||||
\(666\) | −15.1869 | − | 2.10768i | −0.588479 | − | 0.0816710i | ||||
\(667\) | −4.73810 | + | 5.00195i | −0.183460 | + | 0.193676i | ||||
\(668\) | 8.06704 | + | 4.27687i | 0.312123 | + | 0.165477i | ||||
\(669\) | 37.4469 | + | 7.76116i | 1.44778 | + | 0.300064i | ||||
\(670\) | 21.2250 | + | 12.7706i | 0.819992 | + | 0.493373i | ||||
\(671\) | −1.35271 | + | 0.221765i | −0.0522207 | + | 0.00856116i | ||||
\(672\) | 3.11854 | − | 4.72353i | 0.120300 | − | 0.182214i | ||||
\(673\) | 31.9922 | − | 8.88258i | 1.23321 | − | 0.342398i | 0.411026 | − | 0.911624i | \(-0.365171\pi\) |
0.822181 | + | 0.569226i | \(0.192757\pi\) | |||||||
\(674\) | −12.4488 | + | 16.3761i | −0.479510 | + | 0.630784i | ||||
\(675\) | 1.34952 | − | 5.66314i | 0.0519431 | − | 0.217974i | ||||
\(676\) | 1.23391 | − | 4.44413i | 0.0474579 | − | 0.170928i | ||||
\(677\) | 11.0436 | − | 5.85496i | 0.424441 | − | 0.225025i | −0.242474 | − | 0.970158i | \(-0.577959\pi\) |
0.666916 | + | 0.745133i | \(0.267614\pi\) | |||||||
\(678\) | −3.55348 | − | 12.2138i | −0.136471 | − | 0.469069i | ||||
\(679\) | −7.60617 | + | 0.412395i | −0.291898 | + | 0.0158263i | ||||
\(680\) | 10.1128 | + | 19.0747i | 0.387807 | + | 0.731482i | ||||
\(681\) | 0.637094 | − | 15.2077i | 0.0244135 | − | 0.582760i | ||||
\(682\) | 2.54761 | + | 3.35132i | 0.0975530 | + | 0.128329i | ||||
\(683\) | −1.31390 | − | 0.998801i | −0.0502750 | − | 0.0382181i | 0.579735 | − | 0.814805i | \(-0.303156\pi\) |
−0.630010 | + | 0.776587i | \(0.716949\pi\) | |||||||
\(684\) | −7.05818 | − | 7.90692i | −0.269876 | − | 0.302329i | ||||
\(685\) | −26.8249 | + | 25.4099i | −1.02493 | + | 0.970864i | ||||
\(686\) | 3.91490 | + | 23.8799i | 0.149472 | + | 0.911737i | ||||
\(687\) | 14.2905 | − | 44.2017i | 0.545217 | − | 1.68640i | ||||
\(688\) | −11.4665 | + | 24.7844i | −0.437156 | + | 0.944897i | ||||
\(689\) | −2.78184 | + | 5.24711i | −0.105980 | + | 0.199899i | ||||
\(690\) | −3.42333 | + | 5.85131i | −0.130324 | + | 0.222756i | ||||
\(691\) | −36.2396 | − | 24.5710i | −1.37862 | − | 0.934726i | −0.999958 | − | 0.00919014i | \(-0.997075\pi\) |
−0.378660 | − | 0.925536i | \(-0.623615\pi\) | |||||||
\(692\) | 0.452233 | + | 0.0995440i | 0.0171913 | + | 0.00378410i | ||||
\(693\) | −1.81183 | + | 1.15176i | −0.0688256 | + | 0.0437516i | ||||
\(694\) | 22.5823 | − | 13.5873i | 0.857211 | − | 0.515767i | ||||
\(695\) | −19.7125 | + | 16.7439i | −0.747736 | + | 0.635133i | ||||
\(696\) | −11.9125 | − | 19.2586i | −0.451541 | − | 0.729993i | ||||
\(697\) | −34.2376 | + | 7.53626i | −1.29684 | + | 0.285456i | ||||
\(698\) | 49.7824 | + | 19.8351i | 1.88429 | + | 0.750771i | ||||
\(699\) | −2.76466 | + | 5.37334i | −0.104569 | + | 0.203238i | ||||
\(700\) | −0.106845 | + | 0.651724i | −0.00403835 | + | 0.0246328i | ||||
\(701\) | −3.88461 | − | 5.72937i | −0.146720 | − | 0.216395i | 0.747227 | − | 0.664569i | \(-0.231385\pi\) |
−0.893946 | + | 0.448174i | \(0.852075\pi\) | |||||||
\(702\) | 7.25946 | − | 13.1392i | 0.273991 | − | 0.495908i | ||||
\(703\) | −7.64829 | + | 22.6993i | −0.288461 | + | 0.856121i | ||||
\(704\) | −3.04981 | − | 0.331687i | −0.114944 | − | 0.0125009i | ||||
\(705\) | −21.3129 | − | 27.3324i | −0.802692 | − | 1.02940i | ||||
\(706\) | 2.15625 | − | 39.7698i | 0.0811517 | − | 1.49676i | ||||
\(707\) | 14.1780 | 0.533217 | ||||||||
\(708\) | 3.69583 | + | 5.18812i | 0.138898 | + | 0.194982i | ||||
\(709\) | 2.87937 | 0.108137 | 0.0540685 | − | 0.998537i | \(-0.482781\pi\) | ||||
0.0540685 | + | 0.998537i | \(0.482781\pi\) | |||||||
\(710\) | −1.37410 | + | 25.3438i | −0.0515690 | + | 0.951134i | ||||
\(711\) | −25.0903 | + | 31.0552i | −0.940962 | + | 1.16466i | ||||
\(712\) | −36.8850 | − | 4.01148i | −1.38232 | − | 0.150337i | ||||
\(713\) | 1.85373 | − | 5.50168i | 0.0694229 | − | 0.206040i | ||||
\(714\) | −12.6104 | + | 8.77833i | −0.471932 | + | 0.328521i | ||||
\(715\) | −1.17898 | − | 1.73886i | −0.0440912 | − | 0.0650297i | ||||
\(716\) | −1.61918 | + | 9.87658i | −0.0605117 | + | 0.369105i | ||||
\(717\) | −29.3086 | − | 15.0797i | −1.09455 | − | 0.563161i | ||||
\(718\) | 44.8757 | + | 17.8801i | 1.67474 | + | 0.667279i | ||||
\(719\) | 1.86907 | − | 0.411414i | 0.0697046 | − | 0.0153431i | −0.179981 | − | 0.983670i | \(-0.557604\pi\) |
0.249686 | + | 0.968327i | \(0.419673\pi\) | |||||||
\(720\) | −19.7072 | − | 19.8056i | −0.734445 | − | 0.738110i | ||||
\(721\) | 12.2810 | − | 10.4316i | 0.457369 | − | 0.388493i | ||||
\(722\) | −47.8221 | + | 28.7736i | −1.77976 | + | 1.07084i | ||||
\(723\) | 9.04730 | − | 3.17280i | 0.336473 | − | 0.117998i | ||||
\(724\) | 1.46868 | + | 0.323281i | 0.0545831 | + | 0.0120147i | ||||
\(725\) | 5.06221 | + | 3.43227i | 0.188006 | + | 0.127471i | ||||
\(726\) | 25.0958 | + | 14.6824i | 0.931392 | + | 0.544914i | ||||
\(727\) | 2.71577 | − | 5.12249i | 0.100722 | − | 0.189983i | −0.828029 | − | 0.560685i | \(-0.810538\pi\) |
0.928752 | + | 0.370702i | \(0.120883\pi\) | |||||||
\(728\) | 2.27178 | − | 4.91037i | 0.0841977 | − | 0.181990i | ||||
\(729\) | −18.1798 | + | 19.9623i | −0.673327 | + | 0.739345i | ||||
\(730\) | 2.21955 | + | 13.5387i | 0.0821494 | + | 0.501089i | ||||
\(731\) | 19.1895 | − | 18.1773i | 0.709750 | − | 0.672311i | ||||
\(732\) | 1.71641 | − | 0.937204i | 0.0634405 | − | 0.0346400i | ||||
\(733\) | 1.13466 | + | 0.862545i | 0.0419096 | + | 0.0318588i | 0.625919 | − | 0.779888i | \(-0.284724\pi\) |
−0.584010 | + | 0.811747i | \(0.698517\pi\) | |||||||
\(734\) | 27.0772 | + | 35.6194i | 0.999437 | + | 1.31474i | ||||
\(735\) | 18.6937 | + | 0.783133i | 0.689527 | + | 0.0288863i | ||||
\(736\) | −1.56922 | − | 2.95987i | −0.0578424 | − | 0.109102i | ||||
\(737\) | 4.63634 | − | 0.251375i | 0.170782 | − | 0.00925951i | ||||
\(738\) | 31.5395 | − | 17.7282i | 1.16099 | − | 0.652585i | ||||
\(739\) | −43.7950 | + | 23.2186i | −1.61103 | + | 0.854112i | −0.613082 | + | 0.790020i | \(0.710070\pi\) |
−0.997944 | + | 0.0640920i | \(0.979585\pi\) | |||||||
\(740\) | 0.818994 | − | 2.94975i | 0.0301068 | − | 0.108435i | ||||
\(741\) | −18.0592 | − | 14.9612i | −0.663420 | − | 0.549615i | ||||
\(742\) | −3.79664 | + | 4.99439i | −0.139379 | + | 0.183350i | ||||
\(743\) | −3.14571 | + | 0.873401i | −0.115405 | + | 0.0320420i | −0.324751 | − | 0.945800i | \(-0.605280\pi\) |
0.209346 | + | 0.977842i | \(0.432867\pi\) | |||||||
\(744\) | 15.9241 | + | 10.5133i | 0.583805 | + | 0.385437i | ||||
\(745\) | −16.0916 | + | 2.63809i | −0.589552 | + | 0.0966522i | ||||
\(746\) | −1.82707 | − | 1.09931i | −0.0668939 | − | 0.0402487i | ||||
\(747\) | −37.3824 | + | 0.919566i | −1.36775 | + | 0.0336451i | ||||
\(748\) | −1.12536 | − | 0.596626i | −0.0411471 | − | 0.0218148i | ||||
\(749\) | −3.73713 | + | 3.94524i | −0.136552 | + | 0.144156i | ||||
\(750\) | 30.6866 | + | 11.7915i | 1.12052 | + | 0.430565i | ||||
\(751\) | −5.60747 | + | 25.4750i | −0.204620 | + | 0.929596i | 0.756614 | + | 0.653862i | \(0.226852\pi\) |
−0.961234 | + | 0.275735i | \(0.911079\pi\) | |||||||
\(752\) | 47.7559 | − | 5.19377i | 1.74148 | − | 0.189397i | ||||
\(753\) | −8.95345 | − | 9.22221i | −0.326282 | − | 0.336076i | ||||
\(754\) | 10.2095 | + | 12.0195i | 0.371807 | + | 0.437725i | ||||
\(755\) | 3.75015 | − | 1.26357i | 0.136482 | − | 0.0459861i | ||||
\(756\) | 1.89544 | − | 2.40599i | 0.0689366 | − | 0.0875049i | ||||
\(757\) | 9.21068 | − | 23.1171i | 0.334768 | − | 0.840204i | −0.661176 | − | 0.750231i | \(-0.729943\pi\) |
0.995944 | − | 0.0899733i | \(-0.0286782\pi\) | |||||||
\(758\) | 27.0921 | − | 31.8952i | 0.984028 | − | 1.15849i | ||||
\(759\) | 0.0843929 | + | 1.26791i | 0.00306327 | + | 0.0460224i | ||||
\(760\) | −28.8114 | + | 19.5346i | −1.04510 | + | 0.708594i | ||||
\(761\) | −21.7259 | + | 8.65638i | −0.787562 | + | 0.313793i | −0.729021 | − | 0.684492i | \(-0.760024\pi\) |
−0.0585413 | + | 0.998285i | \(0.518645\pi\) | |||||||
\(762\) | −19.6863 | − | 1.89638i | −0.713158 | − | 0.0686986i | ||||
\(763\) | −1.91030 | + | 17.5649i | −0.0691576 | + | 0.635893i | ||||
\(764\) | −8.17024 | + | 3.77995i | −0.295589 | + | 0.136754i | ||||
\(765\) | 10.6245 | + | 24.8688i | 0.384130 | + | 0.899133i | ||||
\(766\) | − | 32.1015i | − | 1.15988i | ||||||
\(767\) | 9.80315 | + | 10.1265i | 0.353971 | + | 0.365647i | ||||
\(768\) | 18.3614 | − | 4.27903i | 0.662559 | − | 0.154406i | ||||
\(769\) | −6.32462 | − | 0.342911i | −0.228071 | − | 0.0123657i | −0.0602510 | − | 0.998183i | \(-0.519190\pi\) |
−0.167820 | + | 0.985818i | \(0.553673\pi\) | |||||||
\(770\) | −0.931844 | − | 2.01415i | −0.0335813 | − | 0.0725848i | ||||
\(771\) | 2.92715 | + | 24.1482i | 0.105419 | + | 0.869676i | ||||
\(772\) | −0.291020 | − | 0.0980562i | −0.0104741 | − | 0.00352912i | ||||
\(773\) | −12.2562 | − | 30.7607i | −0.440824 | − | 1.10639i | −0.966720 | − | 0.255836i | \(-0.917649\pi\) |
0.525896 | − | 0.850549i | \(-0.323730\pi\) | |||||||
\(774\) | −13.4847 | + | 23.7130i | −0.484699 | + | 0.852345i | ||||
\(775\) | −5.08575 | − | 0.833766i | −0.182685 | − | 0.0299497i | ||||
\(776\) | −11.2941 | − | 9.59332i | −0.405436 | − | 0.344380i | ||||
\(777\) | −6.84415 | − | 1.03579i | −0.245533 | − | 0.0371587i | ||||
\(778\) | −1.60998 | − | 7.31419i | −0.0577204 | − | 0.262226i | ||||
\(779\) | −18.0480 | − | 53.5645i | −0.646636 | − | 1.91915i | ||||
\(780\) | 2.40818 | + | 1.78436i | 0.0862268 | + | 0.0638903i | ||||
\(781\) | 2.45276 | + | 4.07653i | 0.0877668 | + | 0.145870i | ||||
\(782\) | 0.983257 | + | 9.04090i | 0.0351612 | + | 0.323302i | ||||
\(783\) | −12.8516 | − | 25.2868i | −0.459280 | − | 0.903675i | ||||
\(784\) | −14.5525 | + | 21.4633i | −0.519732 | + | 0.766548i | ||||
\(785\) | 11.8730 | + | 11.2467i | 0.423765 | + | 0.401412i | ||||
\(786\) | −4.01345 | + | 15.1767i | −0.143155 | + | 0.541335i | ||||
\(787\) | −7.66683 | − | 3.54705i | −0.273293 | − | 0.126439i | 0.278456 | − | 0.960449i | \(-0.410177\pi\) |
−0.551749 | + | 0.834010i | \(0.686039\pi\) | |||||||
\(788\) | 5.68050 | − | 9.44106i | 0.202359 | − | 0.336324i | ||||
\(789\) | 12.7181 | − | 5.24949i | 0.452777 | − | 0.186887i | ||||
\(790\) | −28.3811 | − | 29.9615i | −1.00975 | − | 1.06598i | ||||
\(791\) | −1.53635 | − | 5.53345i | −0.0546264 | − | 0.196747i | ||||
\(792\) | −4.09975 | − | 0.797257i | −0.145678 | − | 0.0283293i | ||||
\(793\) | 3.44473 | − | 2.61862i | 0.122326 | − | 0.0929898i | ||||
\(794\) | −22.0244 | − | 6.11504i | −0.781617 | − | 0.217015i | ||||
\(795\) | 7.25137 | + | 8.32724i | 0.257180 | + | 0.295337i | ||||
\(796\) | 0.181755 | + | 3.35228i | 0.00644215 | + | 0.118818i | ||||
\(797\) | 1.04818 | + | 19.3326i | 0.0371286 | + | 0.684796i | 0.956558 | + | 0.291542i | \(0.0941682\pi\) |
−0.919430 | + | 0.393255i | \(0.871349\pi\) | |||||||
\(798\) | −16.2688 | − | 18.6825i | −0.575908 | − | 0.661354i | ||||
\(799\) | −44.8011 | − | 12.4390i | −1.58495 | − | 0.440059i | ||||
\(800\) | −2.36751 | + | 1.79973i | −0.0837041 | + | 0.0636302i | ||||
\(801\) | −45.6200 | − | 8.87149i | −1.61190 | − | 0.313459i | ||||
\(802\) | 5.03657 | + | 18.1401i | 0.177848 | + | 0.640549i | ||||
\(803\) | 1.76851 | + | 1.86699i | 0.0624094 | + | 0.0658848i | ||||
\(804\) | −6.12309 | + | 2.52735i | −0.215945 | + | 0.0891326i | ||||
\(805\) | −1.57789 | + | 2.62247i | −0.0556133 | + | 0.0924300i | ||||
\(806\) | −12.0604 | − | 5.57976i | −0.424811 | − | 0.196539i | ||||
\(807\) | 14.1153 | − | 53.3763i | 0.496881 | − | 1.87894i | ||||
\(808\) | 20.0239 | + | 18.9677i | 0.704440 | + | 0.667281i | ||||
\(809\) | −30.4604 | + | 44.9258i | −1.07093 | + | 1.57951i | −0.287758 | + | 0.957703i | \(0.592910\pi\) |
−0.783174 | + | 0.621803i | \(0.786401\pi\) | |||||||
\(810\) | −17.9623 | − | 21.3615i | −0.631131 | − | 0.750565i | ||||
\(811\) | −1.25930 | − | 11.5790i | −0.0442199 | − | 0.406595i | −0.995239 | − | 0.0974635i | \(-0.968927\pi\) |
0.951019 | − | 0.309132i | \(-0.100038\pi\) | |||||||
\(812\) | 1.65894 | + | 2.75719i | 0.0582175 | + | 0.0967583i | ||||
\(813\) | −1.24169 | − | 0.920038i | −0.0435480 | − | 0.0322671i | ||||
\(814\) | −0.948590 | − | 2.81531i | −0.0332481 | − | 0.0986767i | ||||
\(815\) | 5.82101 | + | 26.4451i | 0.203901 | + | 0.926333i | ||||
\(816\) | −37.0591 | − | 5.60849i | −1.29733 | − | 0.196337i | ||||
\(817\) | 32.4809 | + | 27.5895i | 1.13636 | + | 0.965235i | ||||
\(818\) | 14.5872 | + | 2.39145i | 0.510029 | + | 0.0836151i | ||||
\(819\) | 3.35010 | − | 5.89117i | 0.117062 | − | 0.205854i | ||||
\(820\) | 2.67386 | + | 6.71088i | 0.0933752 | + | 0.234354i | ||||
\(821\) | 9.27098 | + | 3.12376i | 0.323559 | + | 0.109020i | 0.476394 | − | 0.879232i | \(-0.341944\pi\) |
−0.152835 | + | 0.988252i | \(0.548840\pi\) | |||||||
\(822\) | −6.15581 | − | 50.7837i | −0.214708 | − | 1.77128i | ||||
\(823\) | 10.4725 | + | 22.6358i | 0.365047 | + | 0.789036i | 0.999866 | + | 0.0163749i | \(0.00521253\pi\) |
−0.634819 | + | 0.772661i | \(0.718925\pi\) | |||||||
\(824\) | 31.3005 | + | 1.69707i | 1.09041 | + | 0.0591201i | ||||
\(825\) | 1.09858 | − | 0.256020i | 0.0382478 | − | 0.00891346i | ||||
\(826\) | 8.48860 | + | 12.2316i | 0.295356 | + | 0.425593i | ||||
\(827\) | − | 41.9725i | − | 1.45953i | −0.683700 | − | 0.729763i | \(-0.739630\pi\) | ||
0.683700 | − | 0.729763i | \(-0.260370\pi\) | |||||||
\(828\) | −0.712229 | − | 1.66712i | −0.0247517 | − | 0.0579363i | ||||
\(829\) | −7.22184 | + | 3.34118i | −0.250825 | + | 0.116044i | −0.541273 | − | 0.840847i | \(-0.682058\pi\) |
0.290448 | + | 0.956891i | \(0.406196\pi\) | |||||||
\(830\) | 4.17920 | − | 38.4271i | 0.145062 | − | 1.33382i | ||||
\(831\) | 18.3913 | + | 1.77163i | 0.637986 | + | 0.0614573i | ||||
\(832\) | 8.99620 | − | 3.58441i | 0.311887 | − | 0.124267i | ||||
\(833\) | 20.7745 | − | 14.0855i | 0.719795 | − | 0.488033i | ||||
\(834\) | −2.37813 | − | 35.7289i | −0.0823480 | − | 1.23719i | ||||
\(835\) | 24.3171 | − | 28.6283i | 0.841529 | − | 0.990725i | ||||
\(836\) | 0.760138 | − | 1.90780i | 0.0262899 | − | 0.0659827i | ||||
\(837\) | 18.7752 | + | 14.7911i | 0.648965 | + | 0.511257i | ||||
\(838\) | 38.2840 | − | 12.8994i | 1.32250 | − | 0.445602i | ||||
\(839\) | 8.82340 | + | 10.3877i | 0.304618 | + | 0.358623i | 0.893077 | − | 0.449903i | \(-0.148541\pi\) |
−0.588460 | + | 0.808526i | \(0.700266\pi\) | |||||||
\(840\) | −7.00709 | − | 7.21743i | −0.241768 | − | 0.249025i | ||||
\(841\) | 0.794763 | − | 0.0864356i | 0.0274056 | − | 0.00298054i | ||||
\(842\) | −9.07616 | + | 41.2334i | −0.312785 | + | 1.42100i | ||||
\(843\) | 37.7440 | + | 14.5034i | 1.29997 | + | 0.499523i | ||||
\(844\) | 2.70291 | − | 2.85342i | 0.0930379 | − | 0.0982189i | ||||
\(845\) | −16.7638 | − | 8.88760i | −0.576692 | − | 0.305743i | ||||
\(846\) | 47.9713 | − | 1.18004i | 1.64929 | − | 0.0405707i | ||||
\(847\) | 11.2476 | + | 6.76743i | 0.386471 | + | 0.232532i | ||||
\(848\) | −15.1023 | + | 2.47589i | −0.518614 | + | 0.0850224i | ||||
\(849\) | −25.3577 | − | 16.7415i | −0.870273 | − | 0.574567i | ||||
\(850\) | 7.77869 | − | 2.15974i | 0.266807 | − | 0.0740786i | ||||
\(851\) | −2.47943 | + | 3.26163i | −0.0849937 | + | 0.111807i | ||||
\(852\) | −5.22672 | − | 4.33011i | −0.179064 | − | 0.148347i | ||||
\(853\) | 3.12255 | − | 11.2464i | 0.106914 | − | 0.385069i | −0.890661 | − | 0.454668i | \(-0.849758\pi\) |
0.997575 | + | 0.0695984i | \(0.0221718\pi\) | |||||||
\(854\) | 4.03845 | − | 2.14105i | 0.138193 | − | 0.0732653i | ||||
\(855\) | −38.0092 | + | 21.3648i | −1.29989 | + | 0.730662i | ||||
\(856\) | −10.5561 | + | 0.572336i | −0.360801 | + | 0.0195621i | ||||
\(857\) | 20.4644 | + | 38.6000i | 0.699051 | + | 1.31855i | 0.937700 | + | 0.347445i | \(0.112951\pi\) |
−0.238649 | + | 0.971106i | \(0.576705\pi\) | |||||||
\(858\) | 2.90605 | + | 0.121743i | 0.0992110 | + | 0.00415624i | ||||
\(859\) | −11.9522 | − | 15.7228i | −0.407803 | − | 0.536456i | 0.545644 | − | 0.838017i | \(-0.316285\pi\) |
−0.953447 | + | 0.301561i | \(0.902492\pi\) | |||||||
\(860\) | −4.33603 | − | 3.29616i | −0.147857 | − | 0.112398i | ||||
\(861\) | 14.3364 | − | 7.82801i | 0.488583 | − | 0.266778i | ||||
\(862\) | 9.53236 | − | 9.02953i | 0.324673 | − | 0.307547i | ||||
\(863\) | −1.86965 | − | 11.4044i | −0.0636437 | − | 0.388210i | −0.999370 | − | 0.0354833i | \(-0.988703\pi\) |
0.935727 | − | 0.352726i | \(-0.114745\pi\) | |||||||
\(864\) | 13.6472 | − | 1.99593i | 0.464289 | − | 0.0679028i | ||||
\(865\) | 0.799868 | − | 1.72889i | 0.0271963 | − | 0.0587839i | ||||
\(866\) | 13.3574 | − | 25.1947i | 0.453902 | − | 0.856151i | ||||
\(867\) | 5.89816 | + | 3.45074i | 0.200312 | + | 0.117193i | ||||
\(868\) | −2.24422 | − | 1.52162i | −0.0761738 | − | 0.0516471i | ||||
\(869\) | −7.55492 | − | 1.66296i | −0.256283 | − | 0.0564122i | ||||
\(870\) | 27.6689 | − | 9.70321i | 0.938064 | − | 0.328970i | ||||
\(871\) | −12.5588 | + | 7.55639i | −0.425539 | + | 0.256039i | ||||
\(872\) | −26.1968 | + | 22.2518i | −0.887137 | + | 0.753541i | ||||
\(873\) | −13.0924 | − | 13.1577i | −0.443111 | − | 0.445322i | ||||
\(874\) | −14.3199 | + | 3.15206i | −0.484379 | + | 0.106620i | ||||
\(875\) | 13.7875 | + | 5.49343i | 0.466102 | + | 0.185712i | ||||
\(876\) | −3.26235 | − | 1.67853i | −0.110225 | − | 0.0567122i | ||||
\(877\) | −1.10614 | + | 6.74714i | −0.0373516 | + | 0.227835i | −0.998905 | − | 0.0467831i | \(-0.985103\pi\) |
0.961553 | + | 0.274618i | \(0.0885513\pi\) | |||||||
\(878\) | −28.2845 | − | 41.7166i | −0.954557 | − | 1.40787i | ||||
\(879\) | −25.8585 | + | 18.0006i | −0.872185 | + | 0.607144i | ||||
\(880\) | 1.72859 | − | 5.13027i | 0.0582707 | − | 0.172941i | ||||
\(881\) | −22.5421 | − | 2.45160i | −0.759462 | − | 0.0825964i | −0.279810 | − | 0.960055i | \(-0.590271\pi\) |
−0.479652 | + | 0.877459i | \(0.659237\pi\) | |||||||
\(882\) | −16.2791 | + | 20.1493i | −0.548147 | + | 0.678461i | ||||
\(883\) | 2.65337 | − | 48.9385i | 0.0892930 | − | 1.64691i | −0.520144 | − | 0.854079i | \(-0.674122\pi\) |
0.609437 | − | 0.792834i | \(-0.291395\pi\) | |||||||
\(884\) | 4.02074 | 0.135232 | ||||||||
\(885\) | 24.1125 | − | 10.2605i | 0.810534 | − | 0.344901i | ||||
\(886\) | −15.9646 | −0.536340 | ||||||||
\(887\) | 1.09260 | − | 20.1518i | 0.0366859 | − | 0.676632i | −0.921131 | − | 0.389253i | \(-0.872733\pi\) |
0.957817 | − | 0.287379i | \(-0.0927840\pi\) | |||||||
\(888\) | −8.28049 | − | 10.6192i | −0.277875 | − | 0.356356i | ||||
\(889\) | −8.87650 | − | 0.965378i | −0.297708 | − | 0.0323777i | ||||
\(890\) | 15.3394 | − | 45.5258i | 0.514179 | − | 1.52603i | ||||
\(891\) | −5.03383 | − | 1.42466i | −0.168640 | − | 0.0477279i | ||||
\(892\) | −5.93256 | − | 8.74988i | −0.198637 | − | 0.292968i | ||||
\(893\) | 12.1282 | − | 73.9786i | 0.405854 | − | 2.47560i | ||||
\(894\) | 10.3287 | − | 20.0747i | 0.345443 | − | 0.671397i | ||||
\(895\) | 38.2488 | + | 15.2397i | 1.27852 | + | 0.509408i | ||||
\(896\) | 16.3735 | − | 3.60409i | 0.547001 | − | 0.120404i | ||||
\(897\) | −2.11012 | − | 3.41137i | −0.0704547 | − | 0.113902i | ||||
\(898\) | −25.3927 | + | 21.5687i | −0.847364 | + | 0.719757i | ||||
\(899\) | −21.5158 | + | 12.9456i | −0.717592 | + | 0.431761i | ||||
\(900\) | −1.35812 | + | 0.863341i | −0.0452707 | + | 0.0287780i | ||||
\(901\) | 14.4664 | + | 3.18430i | 0.481947 | + | 0.106084i | ||||
\(902\) | 5.80241 | + | 3.93413i | 0.193199 | + | 0.130992i | ||||
\(903\) | −6.21909 | + | 10.6300i | −0.206958 | + | 0.353743i | ||||
\(904\) | 5.23297 | − | 9.87042i | 0.174046 | − | 0.328285i | ||||
\(905\) | 2.59767 | − | 5.61477i | 0.0863494 | − | 0.186641i | ||||
\(906\) | −1.68541 | + | 5.21312i | −0.0559941 | + | 0.173194i | ||||
\(907\) | 1.70385 | + | 10.3930i | 0.0565755 | + | 0.345095i | 0.999912 | + | 0.0132578i | \(0.00422023\pi\) |
−0.943337 | + | 0.331837i | \(0.892331\pi\) | |||||||
\(908\) | −3.05467 | + | 2.89354i | −0.101373 | + | 0.0960254i | ||||
\(909\) | 23.0069 | + | 25.7735i | 0.763092 | + | 0.854854i | ||||
\(910\) | 5.57700 | + | 4.23952i | 0.184876 | + | 0.140539i | ||||
\(911\) | 9.68205 | + | 12.7365i | 0.320780 | + | 0.421980i | 0.928015 | − | 0.372543i | \(-0.121514\pi\) |
−0.607234 | + | 0.794523i | \(0.707721\pi\) | |||||||
\(912\) | 2.52943 | − | 60.3785i | 0.0837579 | − | 1.99933i | ||||
\(913\) | −3.39383 | − | 6.40143i | −0.112319 | − | 0.211857i | ||||
\(914\) | 35.7091 | − | 1.93609i | 1.18115 | − | 0.0640402i | ||||
\(915\) | −2.24745 | − | 7.72479i | −0.0742983 | − | 0.255374i | ||||
\(916\) | −11.3456 | + | 6.01503i | −0.374868 | + | 0.198742i | ||||
\(917\) | −1.89606 | + | 6.82898i | −0.0626133 | + | 0.225513i | ||||
\(918\) | −36.4210 | − | 8.67908i | −1.20207 | − | 0.286452i | ||||
\(919\) | 3.39794 | − | 4.46991i | 0.112088 | − | 0.147449i | −0.736628 | − | 0.676298i | \(-0.763583\pi\) |
0.848716 | + | 0.528849i | \(0.177376\pi\) | |||||||
\(920\) | −5.73692 | + | 1.59285i | −0.189141 | + | 0.0525146i | ||||
\(921\) | −7.02270 | + | 10.6370i | −0.231406 | + | 0.350501i | ||||
\(922\) | −5.70607 | + | 0.935463i | −0.187920 | + | 0.0308078i | ||||
\(923\) | −12.8682 | − | 7.74255i | −0.423563 | − | 0.254849i | ||||
\(924\) | 0.581124 | + | 0.120443i | 0.0191176 | + | 0.00396227i | ||||
\(925\) | 3.21330 | + | 1.70358i | 0.105653 | + | 0.0560135i | ||||
\(926\) | −35.2794 | + | 37.2440i | −1.15935 | + | 1.22391i | ||||
\(927\) | 38.8919 | + | 5.39754i | 1.27738 | + | 0.177278i | ||||
\(928\) | −3.11488 | + | 14.1510i | −0.102251 | + | 0.464531i | ||||
\(929\) | −46.5553 | + | 5.06320i | −1.52743 | + | 0.166118i | −0.832932 | − | 0.553376i | \(-0.813339\pi\) |
−0.694499 | + | 0.719494i | \(0.744374\pi\) | |||||||
\(930\) | −17.7269 | + | 17.2103i | −0.581287 | + | 0.564346i | ||||
\(931\) | 26.1986 | + | 30.8434i | 0.858625 | + | 1.01085i | ||||
\(932\) | 1.58299 | − | 0.533371i | 0.0518525 | − | 0.0174711i | ||||
\(933\) | 19.1816 | + | 40.1570i | 0.627977 | + | 1.31468i | ||||
\(934\) | −2.68939 | + | 6.74987i | −0.0879997 | + | 0.220863i | ||||
\(935\) | −3.39225 | + | 3.99367i | −0.110939 | + | 0.130607i | ||||
\(936\) | 12.6128 | − | 3.83841i | 0.412263 | − | 0.125462i | ||||
\(937\) | 46.8979 | − | 31.7976i | 1.53209 | − | 1.03878i | 0.553525 | − | 0.832832i | \(-0.313282\pi\) |
0.978563 | − | 0.205949i | \(-0.0660281\pi\) | |||||||
\(938\) | −14.3832 | + | 5.73080i | −0.469629 | + | 0.187117i | ||||
\(939\) | 0.740172 | − | 7.68370i | 0.0241546 | − | 0.250748i | ||||
\(940\) | −1.03589 | + | 9.52487i | −0.0337871 | + | 0.310667i | ||||
\(941\) | 47.3701 | − | 21.9157i | 1.54422 | − | 0.714433i | 0.551422 | − | 0.834226i | \(-0.314085\pi\) |
0.992799 | + | 0.119793i | \(0.0382232\pi\) | |||||||
\(942\) | −22.2969 | + | 3.93753i | −0.726472 | + | 0.128292i | ||||
\(943\) | − | 9.66797i | − | 0.314832i | ||||||
\(944\) | −5.48623 | + | 35.9023i | −0.178561 | + | 1.16852i | ||||
\(945\) | −7.99019 | − | 9.74298i | −0.259921 | − | 0.316939i | ||||
\(946\) | −5.27785 | − | 0.286157i | −0.171598 | − | 0.00930376i | ||||
\(947\) | 10.4892 | + | 22.6720i | 0.340853 | + | 0.736742i | 0.999882 | − | 0.0153761i | \(-0.00489454\pi\) |
−0.659029 | + | 0.752118i | \(0.729032\pi\) | |||||||
\(948\) | 10.9561 | − | 1.32806i | 0.355838 | − | 0.0431333i | ||||
\(949\) | −7.69284 | − | 2.59202i | −0.249720 | − | 0.0841405i | ||||
\(950\) | 4.81778 | + | 12.0917i | 0.156309 | + | 0.392307i | ||||
\(951\) | 32.0433 | − | 34.6719i | 1.03907 | − | 1.12431i | ||||
\(952\) | −13.3168 | − | 2.18318i | −0.431599 | − | 0.0707571i | ||||
\(953\) | 8.85837 | + | 7.52437i | 0.286951 | + | 0.243738i | 0.779287 | − | 0.626667i | \(-0.215581\pi\) |
−0.492337 | + | 0.870405i | \(0.663857\pi\) | |||||||
\(954\) | −15.2400 | + | 1.20278i | −0.493413 | + | 0.0389415i | ||||
\(955\) | 7.96119 | + | 36.1680i | 0.257618 | + | 1.17037i | ||||
\(956\) | 2.90924 | + | 8.63433i | 0.0940917 | + | 0.279254i | ||||
\(957\) | 3.27203 | − | 4.41595i | 0.105770 | − | 0.142748i | ||||
\(958\) | −17.4695 | − | 29.0345i | −0.564413 | − | 0.938061i | ||||
\(959\) | −2.49701 | − | 22.9596i | −0.0806325 | − | 0.741404i | ||||
\(960\) | −0.221401 | − | 18.0036i | −0.00714570 | − | 0.581065i | ||||
\(961\) | −5.52280 | + | 8.14552i | −0.178155 | + | 0.262759i | ||||
\(962\) | 6.80831 | + | 6.44918i | 0.219509 | + | 0.207930i | ||||
\(963\) | −13.2362 | − | 0.391529i | −0.426532 | − | 0.0126168i | ||||
\(964\) | −2.40533 | − | 1.11282i | −0.0774705 | − | 0.0358417i | ||||
\(965\) | −0.651321 | + | 1.08250i | −0.0209668 | + | 0.0348470i | ||||
\(966\) | −1.61667 | − | 3.91677i | −0.0520155 | − | 0.126020i | ||||
\(967\) | 21.1502 | + | 22.3279i | 0.680143 | + | 0.718018i | 0.971088 | − | 0.238721i | \(-0.0767283\pi\) |
−0.290945 | + | 0.956740i | \(0.593970\pi\) | |||||||
\(968\) | 6.83159 | + | 24.6052i | 0.219576 | + | 0.790840i | ||||
\(969\) | −23.9056 | + | 53.3840i | −0.767958 | + | 1.71494i | ||||
\(970\) | 15.2748 | − | 11.6116i | 0.490444 | − | 0.372826i | ||||
\(971\) | −9.44115 | − | 2.62132i | −0.302981 | − | 0.0841222i | 0.112711 | − | 0.993628i | \(-0.464047\pi\) |
−0.415692 | + | 0.909506i | \(0.636460\pi\) | |||||||
\(972\) | 7.44953 | − | 0.458611i | 0.238944 | − | 0.0147100i | ||||
\(973\) | −0.875217 | − | 16.1424i | −0.0280582 | − | 0.517502i | ||||
\(974\) | 0.764653 | + | 14.1032i | 0.0245010 | + | 0.451895i | ||||
\(975\) | −2.68534 | + | 2.33840i | −0.0859998 | + | 0.0748887i | ||||
\(976\) | 10.7438 | + | 2.98301i | 0.343902 | + | 0.0954838i | ||||
\(977\) | −21.5904 | + | 16.4126i | −0.690739 | + | 0.525086i | −0.890628 | − | 0.454732i | \(-0.849735\pi\) |
0.199889 | + | 0.979819i | \(0.435942\pi\) | |||||||
\(978\) | −34.2153 | − | 15.3217i | −1.09408 | − | 0.489935i | ||||
\(979\) | −2.40908 | − | 8.67674i | −0.0769946 | − | 0.277310i | ||||
\(980\) | −3.55681 | − | 3.75488i | −0.113618 | − | 0.119945i | ||||
\(981\) | −35.0304 | + | 25.0304i | −1.11844 | + | 0.799160i | ||||
\(982\) | −22.0794 | + | 36.6962i | −0.704581 | + | 1.17102i | ||||
\(983\) | 38.6861 | + | 17.8981i | 1.23389 | + | 0.570860i | 0.924902 | − | 0.380204i | \(-0.124146\pi\) |
0.308992 | + | 0.951065i | \(0.400008\pi\) | |||||||
\(984\) | 30.7202 | + | 8.12391i | 0.979326 | + | 0.258981i | ||||
\(985\) | −32.9074 | − | 31.1715i | −1.04852 | − | 0.993208i | ||||
\(986\) | 22.0737 | − | 32.5563i | 0.702970 | − | 1.03680i | ||||
\(987\) | 21.6624 | − | 0.266395i | 0.689521 | − | 0.00847945i | ||||
\(988\) | 0.700904 | + | 6.44471i | 0.0222987 | + | 0.205033i | ||||
\(989\) | 3.75805 | + | 6.24593i | 0.119499 | + | 0.198609i | ||||
\(990\) | 2.14931 | − | 4.96237i | 0.0683095 | − | 0.157714i | ||||
\(991\) | −6.89002 | − | 20.4489i | −0.218869 | − | 0.649579i | −0.999692 | − | 0.0248269i | \(-0.992097\pi\) |
0.780823 | − | 0.624752i | \(-0.214800\pi\) | |||||||
\(992\) | −2.62471 | − | 11.9242i | −0.0833348 | − | 0.378594i | ||||
\(993\) | −6.14657 | + | 40.6146i | −0.195056 | + | 1.28887i | ||||
\(994\) | −12.0912 | − | 10.2703i | −0.383509 | − | 0.325755i | ||||
\(995\) | 13.6291 | + | 2.23437i | 0.432070 | + | 0.0708343i | ||||
\(996\) | 7.59129 | + | 7.01577i | 0.240539 | + | 0.222303i | ||||
\(997\) | −11.0717 | − | 27.7879i | −0.350645 | − | 0.880053i | −0.993476 | − | 0.114044i | \(-0.963619\pi\) |
0.642831 | − | 0.766008i | \(-0.277760\pi\) | |||||||
\(998\) | 6.44004 | + | 2.16990i | 0.203856 | + | 0.0686870i | ||||
\(999\) | −9.22327 | − | 14.1225i | −0.291811 | − | 0.446816i |
(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 | 177.2.f.a.2.14 | yes | 504 | |
3.2 | odd | 2 | inner | 177.2.f.a.2.5 | ✓ | 504 | |
59.30 | odd | 58 | inner | 177.2.f.a.89.5 | yes | 504 | |
177.89 | even | 58 | inner | 177.2.f.a.89.14 | yes | 504 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
177.2.f.a.2.5 | ✓ | 504 | 3.2 | odd | 2 | inner | |
177.2.f.a.2.14 | yes | 504 | 1.1 | even | 1 | trivial | |
177.2.f.a.89.5 | yes | 504 | 59.30 | odd | 58 | inner | |
177.2.f.a.89.14 | yes | 504 | 177.89 | even | 58 | inner |