Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [95,2,Mod(6,95)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(95, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 14]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("95.6");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 95 = 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 95.k (of order \(9\), degree \(6\), 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: | \(0.758578819202\) |
Analytic rank: | \(0\) |
Dimension: | \(18\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{9})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{18} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{18} - 3 x^{17} + 15 x^{16} - 14 x^{15} + 72 x^{14} - 51 x^{13} + 231 x^{12} - 93 x^{11} + 438 x^{10} + \cdots + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 16.1 | ||
Root | \(0.816390 + 1.41403i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 95.16 |
Dual form | 95.2.k.a.6.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/95\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(77\) |
\(\chi(n)\) | \(e\left(\frac{2}{9}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.484738 | − | 0.406743i | −0.342761 | − | 0.287611i | 0.455114 | − | 0.890433i | \(-0.349598\pi\) |
−0.797876 | + | 0.602822i | \(0.794043\pi\) | |||||||
\(3\) | −1.80387 | + | 0.656554i | −1.04146 | + | 0.379062i | −0.805435 | − | 0.592684i | \(-0.798068\pi\) |
−0.236029 | + | 0.971746i | \(0.575846\pi\) | |||||||
\(4\) | −0.277766 | − | 1.57529i | −0.138883 | − | 0.787644i | ||||
\(5\) | 0.173648 | − | 0.984808i | 0.0776578 | − | 0.440419i | ||||
\(6\) | 1.14145 | + | 0.415455i | 0.465996 | + | 0.169609i | ||||
\(7\) | −2.04448 | − | 3.54114i | −0.772739 | − | 1.33842i | −0.936056 | − | 0.351850i | \(-0.885553\pi\) |
0.163317 | − | 0.986574i | \(-0.447781\pi\) | |||||||
\(8\) | −1.13887 | + | 1.97259i | −0.402653 | + | 0.697415i | ||||
\(9\) | 0.524744 | − | 0.440313i | 0.174915 | − | 0.146771i | ||||
\(10\) | −0.484738 | + | 0.406743i | −0.153288 | + | 0.128624i | ||||
\(11\) | 2.17413 | − | 3.76571i | 0.655526 | − | 1.13540i | −0.326235 | − | 0.945289i | \(-0.605780\pi\) |
0.981762 | − | 0.190116i | \(-0.0608864\pi\) | |||||||
\(12\) | 1.53531 | + | 2.65924i | 0.443207 | + | 0.767657i | ||||
\(13\) | −1.45826 | − | 0.530764i | −0.404449 | − | 0.147207i | 0.131782 | − | 0.991279i | \(-0.457930\pi\) |
−0.536231 | + | 0.844071i | \(0.680152\pi\) | |||||||
\(14\) | −0.449299 | + | 2.54810i | −0.120080 | + | 0.681008i | ||||
\(15\) | 0.333341 | + | 1.89047i | 0.0860684 | + | 0.488118i | ||||
\(16\) | −1.65185 | + | 0.601224i | −0.412963 | + | 0.150306i | ||||
\(17\) | 4.87326 | + | 4.08915i | 1.18194 | + | 0.991765i | 0.999964 | + | 0.00846250i | \(0.00269373\pi\) |
0.181976 | + | 0.983303i | \(0.441751\pi\) | |||||||
\(18\) | −0.433458 | −0.102167 | ||||||||
\(19\) | 0.708014 | + | 4.30101i | 0.162429 | + | 0.986720i | ||||
\(20\) | −1.59959 | −0.357679 | ||||||||
\(21\) | 6.01291 | + | 5.04543i | 1.31213 | + | 1.10100i | ||||
\(22\) | −2.58556 | + | 0.941068i | −0.551244 | + | 0.200636i | ||||
\(23\) | −0.583829 | − | 3.31106i | −0.121737 | − | 0.690403i | −0.983193 | − | 0.182571i | \(-0.941558\pi\) |
0.861456 | − | 0.507832i | \(-0.169553\pi\) | |||||||
\(24\) | 0.759268 | − | 4.30602i | 0.154985 | − | 0.878963i | ||||
\(25\) | −0.939693 | − | 0.342020i | −0.187939 | − | 0.0684040i | ||||
\(26\) | 0.490990 | + | 0.850420i | 0.0962911 | + | 0.166781i | ||||
\(27\) | 2.22197 | − | 3.84857i | 0.427619 | − | 0.740658i | ||||
\(28\) | −5.01042 | + | 4.20424i | −0.946881 | + | 0.794527i | ||||
\(29\) | 3.99325 | − | 3.35074i | 0.741529 | − | 0.622216i | −0.191719 | − | 0.981450i | \(-0.561406\pi\) |
0.933248 | + | 0.359233i | \(0.116962\pi\) | |||||||
\(30\) | 0.607354 | − | 1.05197i | 0.110887 | − | 0.192062i | ||||
\(31\) | −3.28366 | − | 5.68747i | −0.589763 | − | 1.02150i | −0.994263 | − | 0.106961i | \(-0.965888\pi\) |
0.404500 | − | 0.914538i | \(-0.367445\pi\) | |||||||
\(32\) | 5.32603 | + | 1.93852i | 0.941518 | + | 0.342684i | ||||
\(33\) | −1.44946 | + | 8.22028i | −0.252318 | + | 1.43097i | ||||
\(34\) | −0.699019 | − | 3.96434i | −0.119881 | − | 0.679878i | ||||
\(35\) | −3.84236 | + | 1.39850i | −0.649477 | + | 0.236390i | ||||
\(36\) | −0.839375 | − | 0.704319i | −0.139896 | − | 0.117387i | ||||
\(37\) | 0.180685 | 0.0297045 | 0.0148522 | − | 0.999890i | \(-0.495272\pi\) | ||||
0.0148522 | + | 0.999890i | \(0.495272\pi\) | |||||||
\(38\) | 1.40621 | − | 2.37284i | 0.228117 | − | 0.384926i | ||||
\(39\) | 2.97899 | 0.477020 | ||||||||
\(40\) | 1.74486 | + | 1.46411i | 0.275886 | + | 0.231496i | ||||
\(41\) | −0.0242217 | + | 0.00881597i | −0.00378279 | + | 0.00137682i | −0.343911 | − | 0.939002i | \(-0.611752\pi\) |
0.340128 | + | 0.940379i | \(0.389530\pi\) | |||||||
\(42\) | −0.862490 | − | 4.89143i | −0.133085 | − | 0.754763i | ||||
\(43\) | 0.793995 | − | 4.50297i | 0.121083 | − | 0.686696i | −0.862474 | − | 0.506101i | \(-0.831086\pi\) |
0.983557 | − | 0.180595i | \(-0.0578025\pi\) | |||||||
\(44\) | −6.53598 | − | 2.37890i | −0.985336 | − | 0.358633i | ||||
\(45\) | −0.342502 | − | 0.593232i | −0.0510573 | − | 0.0884338i | ||||
\(46\) | −1.06375 | + | 1.84246i | −0.156841 | + | 0.271656i | ||||
\(47\) | −1.09575 | + | 0.919441i | −0.159831 | + | 0.134114i | −0.719196 | − | 0.694807i | \(-0.755490\pi\) |
0.559365 | + | 0.828922i | \(0.311045\pi\) | |||||||
\(48\) | 2.58498 | − | 2.16906i | 0.373110 | − | 0.313077i | ||||
\(49\) | −4.85976 | + | 8.41736i | −0.694252 | + | 1.20248i | ||||
\(50\) | 0.316390 | + | 0.548004i | 0.0447443 | + | 0.0774995i | ||||
\(51\) | −11.4755 | − | 4.17673i | −1.60689 | − | 0.584860i | ||||
\(52\) | −0.431051 | + | 2.44461i | −0.0597760 | + | 0.339006i | ||||
\(53\) | −0.278010 | − | 1.57667i | −0.0381876 | − | 0.216573i | 0.959742 | − | 0.280882i | \(-0.0906268\pi\) |
−0.997930 | + | 0.0643090i | \(0.979516\pi\) | |||||||
\(54\) | −2.64246 | + | 0.961776i | −0.359593 | + | 0.130881i | ||||
\(55\) | −3.33097 | − | 2.79501i | −0.449148 | − | 0.376880i | ||||
\(56\) | 9.31361 | 1.24458 | ||||||||
\(57\) | −4.10101 | − | 7.29361i | −0.543192 | − | 0.966063i | ||||
\(58\) | −3.29857 | −0.433124 | ||||||||
\(59\) | 7.31281 | + | 6.13617i | 0.952046 | + | 0.798862i | 0.979641 | − | 0.200758i | \(-0.0643403\pi\) |
−0.0275947 | + | 0.999619i | \(0.508785\pi\) | |||||||
\(60\) | 2.88545 | − | 1.05022i | 0.372510 | − | 0.135582i | ||||
\(61\) | −1.05793 | − | 5.99980i | −0.135454 | − | 0.768195i | −0.974543 | − | 0.224201i | \(-0.928023\pi\) |
0.839089 | − | 0.543994i | \(-0.183088\pi\) | |||||||
\(62\) | −0.721625 | + | 4.09254i | −0.0916464 | + | 0.519753i | ||||
\(63\) | −2.63203 | − | 0.957982i | −0.331605 | − | 0.120694i | ||||
\(64\) | −0.0353865 | − | 0.0612913i | −0.00442332 | − | 0.00766141i | ||||
\(65\) | −0.775925 | + | 1.34394i | −0.0962416 | + | 0.166695i | ||||
\(66\) | 4.04615 | − | 3.39513i | 0.498047 | − | 0.417911i | ||||
\(67\) | 7.87159 | − | 6.60505i | 0.961668 | − | 0.806935i | −0.0195559 | − | 0.999809i | \(-0.506225\pi\) |
0.981224 | + | 0.192874i | \(0.0617808\pi\) | |||||||
\(68\) | 5.08797 | − | 8.81262i | 0.617007 | − | 1.06869i | ||||
\(69\) | 3.22704 | + | 5.58940i | 0.388490 | + | 0.672884i | ||||
\(70\) | 2.43137 | + | 0.884946i | 0.290604 | + | 0.105771i | ||||
\(71\) | −1.88710 | + | 10.7023i | −0.223957 | + | 1.27012i | 0.640711 | + | 0.767782i | \(0.278640\pi\) |
−0.864669 | + | 0.502343i | \(0.832472\pi\) | |||||||
\(72\) | 0.270938 | + | 1.53657i | 0.0319303 | + | 0.181086i | ||||
\(73\) | 12.7987 | − | 4.65836i | 1.49798 | − | 0.545220i | 0.542443 | − | 0.840093i | \(-0.317500\pi\) |
0.955536 | + | 0.294873i | \(0.0952774\pi\) | |||||||
\(74\) | −0.0875850 | − | 0.0734926i | −0.0101816 | − | 0.00854334i | ||||
\(75\) | 1.91964 | 0.221661 | ||||||||
\(76\) | 6.57867 | − | 2.31000i | 0.754625 | − | 0.264975i | ||||
\(77\) | −17.7799 | −2.02620 | ||||||||
\(78\) | −1.44403 | − | 1.21168i | −0.163504 | − | 0.137196i | ||||
\(79\) | −16.2283 | + | 5.90661i | −1.82582 | + | 0.664545i | −0.831839 | + | 0.555016i | \(0.812712\pi\) |
−0.993984 | + | 0.109529i | \(0.965066\pi\) | |||||||
\(80\) | 0.305250 | + | 1.73116i | 0.0341279 | + | 0.193549i | ||||
\(81\) | −1.83820 | + | 10.4250i | −0.204245 | + | 1.15833i | ||||
\(82\) | 0.0153270 | + | 0.00557858i | 0.00169259 | + | 0.000616051i | ||||
\(83\) | 2.57831 | + | 4.46577i | 0.283007 | + | 0.490182i | 0.972124 | − | 0.234468i | \(-0.0753348\pi\) |
−0.689117 | + | 0.724650i | \(0.742001\pi\) | |||||||
\(84\) | 6.27783 | − | 10.8735i | 0.684967 | − | 1.18640i | ||||
\(85\) | 4.87326 | − | 4.08915i | 0.528580 | − | 0.443531i | ||||
\(86\) | −2.21643 | + | 1.85981i | −0.239004 | + | 0.200548i | ||||
\(87\) | −5.00336 | + | 8.66608i | −0.536417 | + | 0.929101i | ||||
\(88\) | 4.95213 | + | 8.57735i | 0.527899 | + | 0.914348i | ||||
\(89\) | 0.477195 | + | 0.173685i | 0.0505826 | + | 0.0184106i | 0.367188 | − | 0.930147i | \(-0.380321\pi\) |
−0.316605 | + | 0.948557i | \(0.602543\pi\) | |||||||
\(90\) | −0.0752691 | + | 0.426873i | −0.00793406 | + | 0.0449963i | ||||
\(91\) | 1.10187 | + | 6.24904i | 0.115508 | + | 0.655077i | ||||
\(92\) | −5.05370 | + | 1.83940i | −0.526885 | + | 0.191770i | ||||
\(93\) | 9.65742 | + | 8.10354i | 1.00143 | + | 0.840298i | ||||
\(94\) | 0.905127 | 0.0933567 | ||||||||
\(95\) | 4.35862 | + | 0.0496059i | 0.447185 | + | 0.00508946i | ||||
\(96\) | −10.8802 | −1.11046 | ||||||||
\(97\) | 2.51273 | + | 2.10843i | 0.255129 | + | 0.214079i | 0.761377 | − | 0.648309i | \(-0.224524\pi\) |
−0.506248 | + | 0.862388i | \(0.668968\pi\) | |||||||
\(98\) | 5.77942 | − | 2.10354i | 0.583809 | − | 0.212489i | ||||
\(99\) | −0.517226 | − | 2.93333i | −0.0519832 | − | 0.294811i | ||||
\(100\) | −0.277766 | + | 1.57529i | −0.0277766 | + | 0.157529i | ||||
\(101\) | 3.27996 | + | 1.19381i | 0.326369 | + | 0.118788i | 0.500008 | − | 0.866021i | \(-0.333330\pi\) |
−0.173639 | + | 0.984809i | \(0.555553\pi\) | |||||||
\(102\) | 3.86374 | + | 6.69220i | 0.382567 | + | 0.662626i | ||||
\(103\) | −4.31572 | + | 7.47504i | −0.425240 | + | 0.736537i | −0.996443 | − | 0.0842716i | \(-0.973144\pi\) |
0.571203 | + | 0.820809i | \(0.306477\pi\) | |||||||
\(104\) | 2.70776 | − | 2.27208i | 0.265517 | − | 0.222796i | ||||
\(105\) | 6.01291 | − | 5.04543i | 0.586800 | − | 0.492384i | ||||
\(106\) | −0.506539 | + | 0.877351i | −0.0491994 | + | 0.0852159i | ||||
\(107\) | −3.13732 | − | 5.43399i | −0.303296 | − | 0.525324i | 0.673584 | − | 0.739110i | \(-0.264754\pi\) |
−0.976880 | + | 0.213786i | \(0.931420\pi\) | |||||||
\(108\) | −6.67980 | − | 2.43125i | −0.642764 | − | 0.233947i | ||||
\(109\) | 1.71297 | − | 9.71476i | 0.164073 | − | 0.930506i | −0.785942 | − | 0.618301i | \(-0.787821\pi\) |
0.950015 | − | 0.312205i | \(-0.101068\pi\) | |||||||
\(110\) | 0.477793 | + | 2.70970i | 0.0455558 | + | 0.258360i | ||||
\(111\) | −0.325933 | + | 0.118630i | −0.0309361 | + | 0.0112598i | ||||
\(112\) | 5.50619 | + | 4.62024i | 0.520286 | + | 0.436571i | ||||
\(113\) | −5.24756 | −0.493649 | −0.246825 | − | 0.969060i | \(-0.579387\pi\) | ||||
−0.246825 | + | 0.969060i | \(0.579387\pi\) | |||||||
\(114\) | −0.978713 | + | 5.20355i | −0.0916648 | + | 0.487357i | ||||
\(115\) | −3.36213 | −0.313521 | ||||||||
\(116\) | −6.38756 | − | 5.35980i | −0.593071 | − | 0.497645i | ||||
\(117\) | −0.998916 | + | 0.363576i | −0.0923499 | + | 0.0336126i | ||||
\(118\) | −1.04895 | − | 5.94887i | −0.0965634 | − | 0.547638i | ||||
\(119\) | 4.51698 | − | 25.6171i | 0.414071 | − | 2.34831i | ||||
\(120\) | −4.10876 | − | 1.49547i | −0.375077 | − | 0.136517i | ||||
\(121\) | −3.95372 | − | 6.84804i | −0.359429 | − | 0.622550i | ||||
\(122\) | −1.92756 | + | 3.33863i | −0.174513 | + | 0.302266i | ||||
\(123\) | 0.0379046 | − | 0.0318057i | 0.00341774 | − | 0.00286782i | ||||
\(124\) | −8.04731 | + | 6.75249i | −0.722669 | + | 0.606392i | ||||
\(125\) | −0.500000 | + | 0.866025i | −0.0447214 | + | 0.0774597i | ||||
\(126\) | 0.886194 | + | 1.53493i | 0.0789484 | + | 0.136743i | ||||
\(127\) | −5.00719 | − | 1.82247i | −0.444316 | − | 0.161718i | 0.110167 | − | 0.993913i | \(-0.464862\pi\) |
−0.554482 | + | 0.832195i | \(0.687084\pi\) | |||||||
\(128\) | 1.96064 | − | 11.1194i | 0.173298 | − | 0.982822i | ||||
\(129\) | 1.52418 | + | 8.64406i | 0.134197 | + | 0.761067i | ||||
\(130\) | 0.922760 | − | 0.335857i | 0.0809314 | − | 0.0294566i | ||||
\(131\) | −1.31194 | − | 1.10085i | −0.114625 | − | 0.0961816i | 0.583674 | − | 0.811988i | \(-0.301615\pi\) |
−0.698298 | + | 0.715807i | \(0.746059\pi\) | |||||||
\(132\) | 13.3519 | 1.16214 | ||||||||
\(133\) | 13.7830 | − | 11.3005i | 1.19513 | − | 0.979877i | ||||
\(134\) | −6.50222 | −0.561706 | ||||||||
\(135\) | −3.40426 | − | 2.85652i | −0.292992 | − | 0.245850i | ||||
\(136\) | −13.6163 | + | 4.95591i | −1.16758 | + | 0.424966i | ||||
\(137\) | 0.997739 | + | 5.65846i | 0.0852426 | + | 0.483435i | 0.997304 | + | 0.0733811i | \(0.0233789\pi\) |
−0.912061 | + | 0.410054i | \(0.865510\pi\) | |||||||
\(138\) | 0.709182 | − | 4.02197i | 0.0603695 | − | 0.342373i | ||||
\(139\) | 16.5249 | + | 6.01458i | 1.40162 | + | 0.510150i | 0.928660 | − | 0.370932i | \(-0.120962\pi\) |
0.472965 | + | 0.881081i | \(0.343184\pi\) | |||||||
\(140\) | 3.27032 | + | 5.66436i | 0.276393 | + | 0.478726i | ||||
\(141\) | 1.37292 | − | 2.37797i | 0.115621 | − | 0.200261i | ||||
\(142\) | 5.26782 | − | 4.42023i | 0.442066 | − | 0.370937i | ||||
\(143\) | −5.16916 | + | 4.33744i | −0.432267 | + | 0.362715i | ||||
\(144\) | −0.602072 | + | 1.04282i | −0.0501727 | + | 0.0869016i | ||||
\(145\) | −2.60641 | − | 4.51444i | −0.216451 | − | 0.374904i | ||||
\(146\) | −8.09879 | − | 2.94772i | −0.670261 | − | 0.243955i | ||||
\(147\) | 3.23992 | − | 18.3745i | 0.267224 | − | 1.51550i | ||||
\(148\) | −0.0501882 | − | 0.284631i | −0.00412544 | − | 0.0233966i | ||||
\(149\) | −10.3558 | + | 3.76921i | −0.848381 | + | 0.308785i | −0.729380 | − | 0.684109i | \(-0.760191\pi\) |
−0.119001 | + | 0.992894i | \(0.537969\pi\) | |||||||
\(150\) | −0.930521 | − | 0.780800i | −0.0759767 | − | 0.0637520i | ||||
\(151\) | −2.37114 | −0.192960 | −0.0964802 | − | 0.995335i | \(-0.530758\pi\) | ||||
−0.0964802 | + | 0.995335i | \(0.530758\pi\) | |||||||
\(152\) | −9.29047 | − | 3.50170i | −0.753557 | − | 0.284025i | ||||
\(153\) | 4.35772 | 0.352301 | ||||||||
\(154\) | 8.61857 | + | 7.23184i | 0.694504 | + | 0.582758i | ||||
\(155\) | −6.17126 | + | 2.24616i | −0.495688 | + | 0.180416i | ||||
\(156\) | −0.827461 | − | 4.69276i | −0.0662499 | − | 0.375722i | ||||
\(157\) | −0.561125 | + | 3.18230i | −0.0447827 | + | 0.253975i | −0.998977 | − | 0.0452110i | \(-0.985604\pi\) |
0.954195 | + | 0.299186i | \(0.0967151\pi\) | |||||||
\(158\) | 10.2689 | + | 3.73759i | 0.816952 | + | 0.297346i | ||||
\(159\) | 1.53666 | + | 2.66158i | 0.121865 | + | 0.211077i | ||||
\(160\) | 2.83392 | − | 4.90849i | 0.224041 | − | 0.388050i | ||||
\(161\) | −10.5313 | + | 8.83679i | −0.829981 | + | 0.696437i | ||||
\(162\) | 5.13133 | − | 4.30570i | 0.403155 | − | 0.338288i | ||||
\(163\) | −3.29087 | + | 5.69996i | −0.257761 | + | 0.446455i | −0.965642 | − | 0.259877i | \(-0.916318\pi\) |
0.707881 | + | 0.706332i | \(0.249651\pi\) | |||||||
\(164\) | 0.0206156 | + | 0.0357074i | 0.00160981 | + | 0.00278828i | ||||
\(165\) | 7.84370 | + | 2.85487i | 0.610632 | + | 0.222252i | ||||
\(166\) | 0.566616 | − | 3.21344i | 0.0439780 | − | 0.249411i | ||||
\(167\) | 2.75277 | + | 15.6118i | 0.213016 | + | 1.20807i | 0.884316 | + | 0.466888i | \(0.154625\pi\) |
−0.671300 | + | 0.741185i | \(0.734264\pi\) | |||||||
\(168\) | −16.8005 | + | 6.11489i | −1.29619 | + | 0.471774i | ||||
\(169\) | −8.11376 | − | 6.80825i | −0.624135 | − | 0.523712i | ||||
\(170\) | −4.02549 | −0.308741 | ||||||||
\(171\) | 2.26532 | + | 1.94518i | 0.173233 | + | 0.148752i | ||||
\(172\) | −7.31401 | −0.557688 | ||||||||
\(173\) | −1.45639 | − | 1.22206i | −0.110728 | − | 0.0929114i | 0.585743 | − | 0.810497i | \(-0.300803\pi\) |
−0.696470 | + | 0.717585i | \(0.745247\pi\) | |||||||
\(174\) | 5.95019 | − | 2.16569i | 0.451083 | − | 0.164181i | ||||
\(175\) | 0.710039 | + | 4.02683i | 0.0536739 | + | 0.304400i | ||||
\(176\) | −1.32731 | + | 7.52753i | −0.100050 | + | 0.567409i | ||||
\(177\) | −17.2201 | − | 6.26759i | −1.29434 | − | 0.471101i | ||||
\(178\) | −0.160670 | − | 0.278288i | −0.0120427 | − | 0.0208586i | ||||
\(179\) | 7.14016 | − | 12.3671i | 0.533681 | − | 0.924362i | −0.465545 | − | 0.885024i | \(-0.654142\pi\) |
0.999226 | − | 0.0393383i | \(-0.0125250\pi\) | |||||||
\(180\) | −0.839375 | + | 0.704319i | −0.0625633 | + | 0.0524969i | ||||
\(181\) | 11.0202 | − | 9.24705i | 0.819125 | − | 0.687328i | −0.133642 | − | 0.991030i | \(-0.542667\pi\) |
0.952767 | + | 0.303702i | \(0.0982227\pi\) | |||||||
\(182\) | 2.00763 | − | 3.47733i | 0.148816 | − | 0.257756i | ||||
\(183\) | 5.84755 | + | 10.1283i | 0.432263 | + | 0.748702i | ||||
\(184\) | 7.19626 | + | 2.61922i | 0.530515 | + | 0.193092i | ||||
\(185\) | 0.0313757 | − | 0.177940i | 0.00230679 | − | 0.0130824i | ||||
\(186\) | −1.38526 | − | 7.85619i | −0.101572 | − | 0.576043i | ||||
\(187\) | 25.9937 | − | 9.46093i | 1.90085 | − | 0.691852i | ||||
\(188\) | 1.75274 | + | 1.47073i | 0.127832 | + | 0.107264i | ||||
\(189\) | −18.1711 | −1.32175 | ||||||||
\(190\) | −2.09261 | − | 1.79688i | −0.151814 | − | 0.130360i | ||||
\(191\) | 24.1791 | 1.74954 | 0.874769 | − | 0.484540i | \(-0.161013\pi\) | ||||
0.874769 | + | 0.484540i | \(0.161013\pi\) | |||||||
\(192\) | 0.104074 | + | 0.0873282i | 0.00751087 | + | 0.00630237i | ||||
\(193\) | 4.80540 | − | 1.74902i | 0.345900 | − | 0.125897i | −0.163227 | − | 0.986588i | \(-0.552190\pi\) |
0.509128 | + | 0.860691i | \(0.329968\pi\) | |||||||
\(194\) | −0.360425 | − | 2.04407i | −0.0258770 | − | 0.146756i | ||||
\(195\) | 0.517296 | − | 2.93373i | 0.0370443 | − | 0.210089i | ||||
\(196\) | 14.6096 | + | 5.31747i | 1.04355 | + | 0.379819i | ||||
\(197\) | −0.0321431 | − | 0.0556735i | −0.00229010 | − | 0.00396658i | 0.864878 | − | 0.501982i | \(-0.167396\pi\) |
−0.867168 | + | 0.498015i | \(0.834062\pi\) | |||||||
\(198\) | −0.942395 | + | 1.63228i | −0.0669731 | + | 0.116001i | ||||
\(199\) | −4.88735 | + | 4.10098i | −0.346455 | + | 0.290711i | −0.799365 | − | 0.600846i | \(-0.794831\pi\) |
0.452910 | + | 0.891556i | \(0.350386\pi\) | |||||||
\(200\) | 1.74486 | − | 1.46411i | 0.123380 | − | 0.103528i | ||||
\(201\) | −9.86274 | + | 17.0828i | −0.695664 | + | 1.20493i | ||||
\(202\) | −1.10435 | − | 1.91279i | −0.0777017 | − | 0.134583i | ||||
\(203\) | −20.0295 | − | 7.29015i | −1.40580 | − | 0.511668i | ||||
\(204\) | −3.39206 | + | 19.2373i | −0.237492 | + | 1.34688i | ||||
\(205\) | 0.00447599 | + | 0.0253846i | 0.000312617 | + | 0.00177294i | ||||
\(206\) | 5.13241 | − | 1.86805i | 0.357592 | − | 0.130153i | ||||
\(207\) | −1.76426 | − | 1.48039i | −0.122625 | − | 0.102894i | ||||
\(208\) | 2.72794 | 0.189149 | ||||||||
\(209\) | 17.7357 | + | 6.68481i | 1.22680 | + | 0.462398i | ||||
\(210\) | −4.96688 | −0.342748 | ||||||||
\(211\) | −4.52874 | − | 3.80006i | −0.311771 | − | 0.261607i | 0.473453 | − | 0.880819i | \(-0.343008\pi\) |
−0.785224 | + | 0.619212i | \(0.787452\pi\) | |||||||
\(212\) | −2.40649 | + | 0.875891i | −0.165278 | + | 0.0601564i | ||||
\(213\) | −3.62254 | − | 20.5445i | −0.248212 | − | 1.40768i | ||||
\(214\) | −0.689464 | + | 3.91015i | −0.0471308 | + | 0.267292i | ||||
\(215\) | −4.29668 | − | 1.56386i | −0.293031 | − | 0.106655i | ||||
\(216\) | 5.06110 | + | 8.76609i | 0.344364 | + | 0.596457i | ||||
\(217\) | −13.4267 | + | 23.2558i | −0.911466 | + | 1.57870i | ||||
\(218\) | −4.78176 | + | 4.01237i | −0.323862 | + | 0.271752i | ||||
\(219\) | −20.0288 | + | 16.8061i | −1.35342 | + | 1.13565i | ||||
\(220\) | −3.47772 | + | 6.02359i | −0.234468 | + | 0.406110i | ||||
\(221\) | −4.93612 | − | 8.54961i | −0.332039 | − | 0.575109i | ||||
\(222\) | 0.206244 | + | 0.0750666i | 0.0138422 | + | 0.00503814i | ||||
\(223\) | −5.09043 | + | 28.8693i | −0.340881 | + | 1.93323i | 0.0179785 | + | 0.999838i | \(0.494277\pi\) |
−0.358859 | + | 0.933392i | \(0.616834\pi\) | |||||||
\(224\) | −4.02439 | − | 22.8234i | −0.268891 | − | 1.52495i | ||||
\(225\) | −0.643694 | + | 0.234285i | −0.0429129 | + | 0.0156190i | ||||
\(226\) | 2.54369 | + | 2.13441i | 0.169204 | + | 0.141979i | ||||
\(227\) | 8.00202 | 0.531113 | 0.265557 | − | 0.964095i | \(-0.414444\pi\) | ||||
0.265557 | + | 0.964095i | \(0.414444\pi\) | |||||||
\(228\) | −10.3504 | + | 8.48619i | −0.685473 | + | 0.562012i | ||||
\(229\) | 28.2694 | 1.86809 | 0.934047 | − | 0.357150i | \(-0.116251\pi\) | ||||
0.934047 | + | 0.357150i | \(0.116251\pi\) | |||||||
\(230\) | 1.62975 | + | 1.36753i | 0.107463 | + | 0.0901720i | ||||
\(231\) | 32.0725 | − | 11.6734i | 2.11022 | − | 0.768056i | ||||
\(232\) | 2.06181 | + | 11.6931i | 0.135365 | + | 0.767691i | ||||
\(233\) | −1.18970 | + | 6.74715i | −0.0779401 | + | 0.442020i | 0.920718 | + | 0.390229i | \(0.127604\pi\) |
−0.998658 | + | 0.0517912i | \(0.983507\pi\) | |||||||
\(234\) | 0.632095 | + | 0.230064i | 0.0413213 | + | 0.0150397i | ||||
\(235\) | 0.715198 | + | 1.23876i | 0.0466544 | + | 0.0808078i | ||||
\(236\) | 7.63499 | − | 13.2242i | 0.496996 | − | 0.860821i | ||||
\(237\) | 25.3957 | − | 21.3095i | 1.64963 | − | 1.38420i | ||||
\(238\) | −12.6091 | + | 10.5803i | −0.817328 | + | 0.685820i | ||||
\(239\) | 6.69674 | − | 11.5991i | 0.433176 | − | 0.750283i | −0.563969 | − | 0.825796i | \(-0.690726\pi\) |
0.997145 | + | 0.0755132i | \(0.0240595\pi\) | |||||||
\(240\) | −1.68723 | − | 2.92237i | −0.108910 | − | 0.188638i | ||||
\(241\) | 24.1069 | + | 8.77421i | 1.55286 | + | 0.565196i | 0.969087 | − | 0.246717i | \(-0.0793520\pi\) |
0.583777 | + | 0.811914i | \(0.301574\pi\) | |||||||
\(242\) | −0.868879 | + | 4.92766i | −0.0558536 | + | 0.316762i | ||||
\(243\) | −1.21363 | − | 6.88283i | −0.0778543 | − | 0.441534i | ||||
\(244\) | −9.15755 | + | 3.33308i | −0.586252 | + | 0.213378i | ||||
\(245\) | 7.44559 | + | 6.24759i | 0.475681 | + | 0.399144i | ||||
\(246\) | −0.0313106 | −0.00199629 | ||||||||
\(247\) | 1.25035 | − | 6.64779i | 0.0795581 | − | 0.422989i | ||||
\(248\) | 14.9587 | 0.949879 | ||||||||
\(249\) | −7.58296 | − | 6.36286i | −0.480551 | − | 0.403230i | ||||
\(250\) | 0.594619 | − | 0.216424i | 0.0376070 | − | 0.0136878i | ||||
\(251\) | −1.58376 | − | 8.98194i | −0.0999660 | − | 0.566935i | −0.993112 | − | 0.117168i | \(-0.962618\pi\) |
0.893146 | − | 0.449767i | \(-0.148493\pi\) | |||||||
\(252\) | −0.778008 | + | 4.41230i | −0.0490099 | + | 0.277949i | ||||
\(253\) | −13.7378 | − | 5.00015i | −0.863688 | − | 0.314357i | ||||
\(254\) | 1.68590 | + | 2.92006i | 0.105783 | + | 0.183221i | ||||
\(255\) | −6.10597 | + | 10.5759i | −0.382371 | + | 0.662286i | ||||
\(256\) | −5.58156 | + | 4.68348i | −0.348847 | + | 0.292718i | ||||
\(257\) | −18.9570 | + | 15.9068i | −1.18250 | + | 0.992237i | −0.182543 | + | 0.983198i | \(0.558433\pi\) |
−0.999959 | + | 0.00903962i | \(0.997123\pi\) | |||||||
\(258\) | 2.77709 | − | 4.81006i | 0.172894 | − | 0.299461i | ||||
\(259\) | −0.369407 | − | 0.639831i | −0.0229538 | − | 0.0397572i | ||||
\(260\) | 2.33262 | + | 0.849004i | 0.144663 | + | 0.0526530i | ||||
\(261\) | 0.620065 | − | 3.51656i | 0.0383810 | − | 0.217670i | ||||
\(262\) | 0.188184 | + | 1.06725i | 0.0116261 | + | 0.0659347i | ||||
\(263\) | 13.7492 | − | 5.00428i | 0.847809 | − | 0.308577i | 0.118662 | − | 0.992935i | \(-0.462139\pi\) |
0.729147 | + | 0.684357i | \(0.239917\pi\) | |||||||
\(264\) | −14.5645 | − | 12.2211i | −0.896382 | − | 0.752154i | ||||
\(265\) | −1.60099 | −0.0983483 | ||||||||
\(266\) | −11.2775 | − | 0.128351i | −0.691469 | − | 0.00786969i | ||||
\(267\) | −0.974832 | −0.0596587 | ||||||||
\(268\) | −12.5913 | − | 10.5654i | −0.769136 | − | 0.645382i | ||||
\(269\) | −16.1661 | + | 5.88396i | −0.985662 | + | 0.358752i | −0.784039 | − | 0.620712i | \(-0.786844\pi\) |
−0.201623 | + | 0.979463i | \(0.564622\pi\) | |||||||
\(270\) | 0.488306 | + | 2.76932i | 0.0297174 | + | 0.168536i | ||||
\(271\) | 2.37389 | − | 13.4630i | 0.144203 | − | 0.817819i | −0.823800 | − | 0.566881i | \(-0.808150\pi\) |
0.968003 | − | 0.250938i | \(-0.0807389\pi\) | |||||||
\(272\) | −10.5084 | − | 3.82475i | −0.637165 | − | 0.231909i | ||||
\(273\) | −6.09047 | − | 10.5490i | −0.368612 | − | 0.638455i | ||||
\(274\) | 1.81790 | − | 3.14869i | 0.109823 | − | 0.190220i | ||||
\(275\) | −3.33097 | + | 2.79501i | −0.200865 | + | 0.168546i | ||||
\(276\) | 7.90854 | − | 6.63606i | 0.476038 | − | 0.399444i | ||||
\(277\) | 6.72984 | − | 11.6564i | 0.404357 | − | 0.700367i | −0.589889 | − | 0.807484i | \(-0.700829\pi\) |
0.994246 | + | 0.107117i | \(0.0341620\pi\) | |||||||
\(278\) | −5.56386 | − | 9.63689i | −0.333698 | − | 0.577982i | ||||
\(279\) | −4.22735 | − | 1.53863i | −0.253085 | − | 0.0921152i | ||||
\(280\) | 1.61729 | − | 9.17211i | 0.0966516 | − | 0.548139i | ||||
\(281\) | −3.03476 | − | 17.2110i | −0.181039 | − | 1.02672i | −0.930940 | − | 0.365172i | \(-0.881010\pi\) |
0.749901 | − | 0.661550i | \(-0.230101\pi\) | |||||||
\(282\) | −1.63273 | + | 0.594265i | −0.0972276 | + | 0.0353880i | ||||
\(283\) | −16.1126 | − | 13.5201i | −0.957794 | − | 0.803684i | 0.0227990 | − | 0.999740i | \(-0.492742\pi\) |
−0.980593 | + | 0.196056i | \(0.937187\pi\) | |||||||
\(284\) | 17.3833 | 1.03151 | ||||||||
\(285\) | −7.89494 | + | 2.77219i | −0.467656 | + | 0.164210i | ||||
\(286\) | 4.26991 | 0.252485 | ||||||||
\(287\) | 0.0807392 | + | 0.0677483i | 0.00476589 | + | 0.00399905i | ||||
\(288\) | 3.64836 | − | 1.32789i | 0.214981 | − | 0.0782468i | ||||
\(289\) | 4.07550 | + | 23.1133i | 0.239735 | + | 1.35961i | ||||
\(290\) | −0.572791 | + | 3.24846i | −0.0336354 | + | 0.190756i | ||||
\(291\) | −5.91693 | − | 2.15359i | −0.346857 | − | 0.126246i | ||||
\(292\) | −10.8933 | − | 18.8678i | −0.637483 | − | 1.10415i | ||||
\(293\) | 5.36574 | − | 9.29373i | 0.313470 | − | 0.542945i | −0.665641 | − | 0.746272i | \(-0.731842\pi\) |
0.979111 | + | 0.203326i | \(0.0651753\pi\) | |||||||
\(294\) | −9.04422 | + | 7.58900i | −0.527470 | + | 0.442600i | ||||
\(295\) | 7.31281 | − | 6.13617i | 0.425768 | − | 0.357262i | ||||
\(296\) | −0.205778 | + | 0.356418i | −0.0119606 | + | 0.0207164i | ||||
\(297\) | −9.66174 | − | 16.7346i | −0.560631 | − | 0.971042i | ||||
\(298\) | 6.55295 | + | 2.38508i | 0.379602 | + | 0.138164i | ||||
\(299\) | −0.906014 | + | 5.13826i | −0.0523962 | + | 0.297153i | ||||
\(300\) | −0.533209 | − | 3.02398i | −0.0307848 | − | 0.174590i | ||||
\(301\) | −17.5689 | + | 6.39457i | −1.01266 | + | 0.368577i | ||||
\(302\) | 1.14938 | + | 0.964444i | 0.0661394 | + | 0.0554975i | ||||
\(303\) | −6.70042 | −0.384929 | ||||||||
\(304\) | −3.75541 | − | 6.67896i | −0.215387 | − | 0.383064i | ||||
\(305\) | −6.09235 | −0.348847 | ||||||||
\(306\) | −2.11235 | − | 1.77248i | −0.120755 | − | 0.101326i | ||||
\(307\) | 2.54584 | − | 0.926610i | 0.145299 | − | 0.0528845i | −0.268347 | − | 0.963322i | \(-0.586477\pi\) |
0.413646 | + | 0.910438i | \(0.364255\pi\) | |||||||
\(308\) | 4.93864 | + | 28.0084i | 0.281405 | + | 1.59593i | ||||
\(309\) | 2.87721 | − | 16.3175i | 0.163679 | − | 0.928269i | ||||
\(310\) | 3.90505 | + | 1.42132i | 0.221792 | + | 0.0807257i | ||||
\(311\) | 3.62852 | + | 6.28478i | 0.205755 | + | 0.356377i | 0.950373 | − | 0.311113i | \(-0.100702\pi\) |
−0.744618 | + | 0.667491i | \(0.767368\pi\) | |||||||
\(312\) | −3.39269 | + | 5.87632i | −0.192073 | + | 0.332681i | ||||
\(313\) | −6.64853 | + | 5.57878i | −0.375797 | + | 0.315331i | −0.811050 | − | 0.584977i | \(-0.801103\pi\) |
0.435253 | + | 0.900308i | \(0.356659\pi\) | |||||||
\(314\) | 1.56638 | − | 1.31435i | 0.0883958 | − | 0.0741729i | ||||
\(315\) | −1.40048 | + | 2.42570i | −0.0789079 | + | 0.136672i | ||||
\(316\) | 13.8123 | + | 23.9235i | 0.777000 | + | 1.34580i | ||||
\(317\) | 30.0020 | + | 10.9198i | 1.68508 | + | 0.613319i | 0.993992 | − | 0.109451i | \(-0.0349091\pi\) |
0.691089 | + | 0.722770i | \(0.257131\pi\) | |||||||
\(318\) | 0.337701 | − | 1.91520i | 0.0189373 | − | 0.107399i | ||||
\(319\) | −3.93604 | − | 22.3224i | −0.220376 | − | 1.24981i | ||||
\(320\) | −0.0665049 | + | 0.0242058i | −0.00371774 | + | 0.00135315i | ||||
\(321\) | 9.22702 | + | 7.74239i | 0.515002 | + | 0.432138i | ||||
\(322\) | 8.69922 | 0.484788 | ||||||||
\(323\) | −14.1372 | + | 23.8551i | −0.786613 | + | 1.32734i | ||||
\(324\) | 16.9329 | 0.940717 | ||||||||
\(325\) | 1.18879 | + | 0.997510i | 0.0659420 | + | 0.0553319i | ||||
\(326\) | 3.91363 | − | 1.42445i | 0.216756 | − | 0.0788928i | ||||
\(327\) | 3.28829 | + | 18.6488i | 0.181843 | + | 1.03128i | ||||
\(328\) | 0.0101952 | − | 0.0578197i | 0.000562935 | − | 0.00319256i | ||||
\(329\) | 5.49609 | + | 2.00041i | 0.303009 | + | 0.110286i | ||||
\(330\) | −2.64094 | − | 4.57424i | −0.145379 | − | 0.251804i | ||||
\(331\) | −12.1500 | + | 21.0443i | −0.667822 | + | 1.15670i | 0.310690 | + | 0.950511i | \(0.399440\pi\) |
−0.978512 | + | 0.206190i | \(0.933893\pi\) | |||||||
\(332\) | 6.31871 | − | 5.30202i | 0.346784 | − | 0.290986i | ||||
\(333\) | 0.0948136 | − | 0.0795580i | 0.00519575 | − | 0.00435975i | ||||
\(334\) | 5.01560 | − | 8.68728i | 0.274442 | − | 0.475347i | ||||
\(335\) | −5.13781 | − | 8.89896i | −0.280709 | − | 0.486202i | ||||
\(336\) | −12.9659 | − | 4.71919i | −0.707346 | − | 0.257453i | ||||
\(337\) | 4.92922 | − | 27.9550i | 0.268512 | − | 1.52280i | −0.490334 | − | 0.871534i | \(-0.663125\pi\) |
0.758846 | − | 0.651270i | \(-0.225764\pi\) | |||||||
\(338\) | 1.16384 | + | 6.60044i | 0.0633043 | + | 0.359016i | ||||
\(339\) | 9.46591 | − | 3.44531i | 0.514118 | − | 0.187124i | ||||
\(340\) | −7.79522 | − | 6.54097i | −0.422755 | − | 0.354734i | ||||
\(341\) | −28.5565 | −1.54642 | ||||||||
\(342\) | −0.306894 | − | 1.86431i | −0.0165949 | − | 0.100810i | ||||
\(343\) | 11.1200 | 0.600424 | ||||||||
\(344\) | 7.97824 | + | 6.69454i | 0.430158 | + | 0.360945i | ||||
\(345\) | 6.06485 | − | 2.20742i | 0.326520 | − | 0.118844i | ||||
\(346\) | 0.208905 | + | 1.18476i | 0.0112308 | + | 0.0636929i | ||||
\(347\) | −5.40071 | + | 30.6289i | −0.289925 | + | 1.64425i | 0.397217 | + | 0.917725i | \(0.369976\pi\) |
−0.687142 | + | 0.726523i | \(0.741135\pi\) | |||||||
\(348\) | 15.0413 | + | 5.47460i | 0.806300 | + | 0.293469i | ||||
\(349\) | −8.73989 | − | 15.1379i | −0.467836 | − | 0.810315i | 0.531489 | − | 0.847065i | \(-0.321633\pi\) |
−0.999324 | + | 0.0367503i | \(0.988299\pi\) | |||||||
\(350\) | 1.29370 | − | 2.24076i | 0.0691514 | − | 0.119774i | ||||
\(351\) | −5.28290 | + | 4.43288i | −0.281981 | + | 0.236610i | ||||
\(352\) | 18.8794 | − | 15.8417i | 1.00627 | − | 0.844365i | ||||
\(353\) | 4.41270 | − | 7.64303i | 0.234865 | − | 0.406797i | −0.724369 | − | 0.689413i | \(-0.757869\pi\) |
0.959233 | + | 0.282615i | \(0.0912020\pi\) | |||||||
\(354\) | 5.79792 | + | 10.0423i | 0.308156 | + | 0.533742i | ||||
\(355\) | 10.2120 | + | 3.71686i | 0.541996 | + | 0.197270i | ||||
\(356\) | 0.141055 | − | 0.799964i | 0.00747591 | − | 0.0423980i | ||||
\(357\) | 8.67096 | + | 49.1755i | 0.458916 | + | 2.60264i | ||||
\(358\) | −8.49136 | + | 3.09060i | −0.448782 | + | 0.163343i | ||||
\(359\) | 15.2610 | + | 12.8055i | 0.805443 | + | 0.675847i | 0.949515 | − | 0.313720i | \(-0.101575\pi\) |
−0.144073 | + | 0.989567i | \(0.546020\pi\) | |||||||
\(360\) | 1.56027 | 0.0822334 | ||||||||
\(361\) | −17.9974 | + | 6.09035i | −0.947233 | + | 0.320545i | ||||
\(362\) | −9.10309 | −0.478448 | ||||||||
\(363\) | 11.6281 | + | 9.75714i | 0.610317 | + | 0.512117i | ||||
\(364\) | 9.53797 | − | 3.47154i | 0.499925 | − | 0.181958i | ||||
\(365\) | −2.36511 | − | 13.4132i | −0.123796 | − | 0.702080i | ||||
\(366\) | 1.28507 | − | 7.28800i | 0.0671718 | − | 0.380950i | ||||
\(367\) | −7.94641 | − | 2.89226i | −0.414799 | − | 0.150975i | 0.126186 | − | 0.992007i | \(-0.459726\pi\) |
−0.540985 | + | 0.841032i | \(0.681949\pi\) | |||||||
\(368\) | 2.95509 | + | 5.11836i | 0.154044 | + | 0.266813i | ||||
\(369\) | −0.00882841 | + | 0.0152912i | −0.000459589 | + | 0.000796031i | ||||
\(370\) | −0.0875850 | + | 0.0734926i | −0.00455333 | + | 0.00382070i | ||||
\(371\) | −5.01483 | + | 4.20794i | −0.260357 | + | 0.218465i | ||||
\(372\) | 10.0829 | − | 17.4641i | 0.522774 | − | 0.905471i | ||||
\(373\) | 3.56895 | + | 6.18160i | 0.184793 | + | 0.320071i | 0.943507 | − | 0.331353i | \(-0.107505\pi\) |
−0.758714 | + | 0.651424i | \(0.774172\pi\) | |||||||
\(374\) | −16.4483 | − | 5.98669i | −0.850522 | − | 0.309565i | ||||
\(375\) | 0.333341 | − | 1.89047i | 0.0172137 | − | 0.0976236i | ||||
\(376\) | −0.565760 | − | 3.20859i | −0.0291769 | − | 0.165470i | ||||
\(377\) | −7.60166 | + | 2.76678i | −0.391505 | + | 0.142496i | ||||
\(378\) | 8.80822 | + | 7.39097i | 0.453046 | + | 0.380151i | ||||
\(379\) | 6.11358 | 0.314033 | 0.157017 | − | 0.987596i | \(-0.449812\pi\) | ||||
0.157017 | + | 0.987596i | \(0.449812\pi\) | |||||||
\(380\) | −1.13253 | − | 6.87985i | −0.0580976 | − | 0.352929i | ||||
\(381\) | 10.2289 | 0.524040 | ||||||||
\(382\) | −11.7205 | − | 9.83469i | −0.599674 | − | 0.503186i | ||||
\(383\) | −0.492206 | + | 0.179148i | −0.0251505 | + | 0.00915404i | −0.354565 | − | 0.935031i | \(-0.615371\pi\) |
0.329414 | + | 0.944185i | \(0.393149\pi\) | |||||||
\(384\) | 3.76372 | + | 21.3451i | 0.192067 | + | 1.08926i | ||||
\(385\) | −3.08744 | + | 17.5097i | −0.157351 | + | 0.892379i | ||||
\(386\) | −3.04076 | − | 1.10675i | −0.154771 | − | 0.0563319i | ||||
\(387\) | −1.56607 | − | 2.71251i | −0.0796078 | − | 0.137885i | ||||
\(388\) | 2.62343 | − | 4.54392i | 0.133185 | − | 0.230683i | ||||
\(389\) | −1.91233 | + | 1.60464i | −0.0969590 | + | 0.0813583i | −0.689979 | − | 0.723830i | \(-0.742380\pi\) |
0.593020 | + | 0.805188i | \(0.297936\pi\) | |||||||
\(390\) | −1.44403 | + | 1.21168i | −0.0731212 | + | 0.0613560i | ||||
\(391\) | 10.6943 | − | 18.5230i | 0.540832 | − | 0.936749i | ||||
\(392\) | −11.0693 | − | 19.1726i | −0.559085 | − | 0.968364i | ||||
\(393\) | 3.08933 | + | 1.12443i | 0.155836 | + | 0.0567198i | ||||
\(394\) | −0.00706385 | + | 0.0400611i | −0.000355872 | + | 0.00201825i | ||||
\(395\) | 2.99886 | + | 17.0074i | 0.150889 | + | 0.855735i | ||||
\(396\) | −4.47718 | + | 1.62956i | −0.224987 | + | 0.0818884i | ||||
\(397\) | −2.21214 | − | 1.85621i | −0.111024 | − | 0.0931604i | 0.585586 | − | 0.810611i | \(-0.300865\pi\) |
−0.696610 | + | 0.717450i | \(0.745309\pi\) | |||||||
\(398\) | 4.03713 | 0.202363 | ||||||||
\(399\) | −17.4433 | + | 29.4339i | −0.873255 | + | 1.47354i | ||||
\(400\) | 1.75786 | 0.0878931 | ||||||||
\(401\) | −13.2096 | − | 11.0842i | −0.659658 | − | 0.553519i | 0.250326 | − | 0.968162i | \(-0.419462\pi\) |
−0.909984 | + | 0.414643i | \(0.863907\pi\) | |||||||
\(402\) | 11.7291 | − | 4.26906i | 0.584997 | − | 0.212921i | ||||
\(403\) | 1.76973 | + | 10.0367i | 0.0881567 | + | 0.499962i | ||||
\(404\) | 0.969531 | − | 5.49848i | 0.0482360 | − | 0.273560i | ||||
\(405\) | 9.94738 | + | 3.62055i | 0.494289 | + | 0.179907i | ||||
\(406\) | 6.74385 | + | 11.6807i | 0.334692 | + | 0.579703i | ||||
\(407\) | 0.392834 | − | 0.680409i | 0.0194721 | − | 0.0337266i | ||||
\(408\) | 21.3081 | − | 17.8796i | 1.05491 | − | 0.885173i | ||||
\(409\) | −20.0017 | + | 16.7834i | −0.989019 | + | 0.829886i | −0.985425 | − | 0.170108i | \(-0.945588\pi\) |
−0.00359375 | + | 0.999994i | \(0.501144\pi\) | |||||||
\(410\) | 0.00815533 | − | 0.0141255i | 0.000402763 | − | 0.000697606i | ||||
\(411\) | −5.51488 | − | 9.55205i | −0.272029 | − | 0.471168i | ||||
\(412\) | 12.9741 | + | 4.72218i | 0.639188 | + | 0.232645i | ||||
\(413\) | 6.77817 | − | 38.4409i | 0.333532 | − | 1.89155i | ||||
\(414\) | 0.253065 | + | 1.43520i | 0.0124375 | + | 0.0705364i | ||||
\(415\) | 4.84565 | − | 1.76367i | 0.237863 | − | 0.0865752i | ||||
\(416\) | −6.73785 | − | 5.65373i | −0.330350 | − | 0.277197i | ||||
\(417\) | −33.7577 | −1.65312 | ||||||||
\(418\) | −5.87816 | − | 10.4543i | −0.287510 | − | 0.511334i | ||||
\(419\) | −0.112702 | −0.00550586 | −0.00275293 | − | 0.999996i | \(-0.500876\pi\) | ||||
−0.00275293 | + | 0.999996i | \(0.500876\pi\) | |||||||
\(420\) | −9.61819 | − | 8.07062i | −0.469320 | − | 0.393806i | ||||
\(421\) | −18.9996 | + | 6.91529i | −0.925985 | + | 0.337031i | −0.760617 | − | 0.649201i | \(-0.775103\pi\) |
−0.165368 | + | 0.986232i | \(0.552881\pi\) | |||||||
\(422\) | 0.649600 | + | 3.68407i | 0.0316221 | + | 0.179338i | ||||
\(423\) | −0.170145 | + | 0.964943i | −0.00827275 | + | 0.0469171i | ||||
\(424\) | 3.42674 | + | 1.24723i | 0.166417 | + | 0.0605710i | ||||
\(425\) | −3.18080 | − | 5.50930i | −0.154291 | − | 0.267240i | ||||
\(426\) | −6.60034 | + | 11.4321i | −0.319787 | + | 0.553888i | ||||
\(427\) | −19.0832 | + | 16.0127i | −0.923500 | + | 0.774909i | ||||
\(428\) | −7.68866 | + | 6.45156i | −0.371646 | + | 0.311848i | ||||
\(429\) | 6.47672 | − | 11.2180i | 0.312699 | − | 0.541610i | ||||
\(430\) | 1.44667 | + | 2.50571i | 0.0697648 | + | 0.120836i | ||||
\(431\) | 38.1011 | + | 13.8677i | 1.83526 | + | 0.667982i | 0.991306 | + | 0.131573i | \(0.0420028\pi\) |
0.843958 | + | 0.536409i | \(0.180219\pi\) | |||||||
\(432\) | −1.35651 | + | 7.69317i | −0.0652653 | + | 0.370138i | ||||
\(433\) | −3.95457 | − | 22.4275i | −0.190044 | − | 1.07779i | −0.919301 | − | 0.393555i | \(-0.871245\pi\) |
0.729257 | − | 0.684240i | \(-0.239866\pi\) | |||||||
\(434\) | 15.9676 | − | 5.81172i | 0.766468 | − | 0.278972i | ||||
\(435\) | 7.66560 | + | 6.43220i | 0.367537 | + | 0.308400i | ||||
\(436\) | −15.7794 | −0.755694 | ||||||||
\(437\) | 13.8275 | − | 4.85533i | 0.661461 | − | 0.232262i | ||||
\(438\) | 16.5445 | 0.790526 | ||||||||
\(439\) | −25.0285 | − | 21.0014i | −1.19455 | − | 1.00234i | −0.999769 | − | 0.0214950i | \(-0.993157\pi\) |
−0.194777 | − | 0.980848i | \(-0.562398\pi\) | |||||||
\(440\) | 9.30697 | − | 3.38746i | 0.443692 | − | 0.161491i | ||||
\(441\) | 1.15614 | + | 6.55677i | 0.0550541 | + | 0.312227i | ||||
\(442\) | −1.08477 | + | 6.15205i | −0.0515974 | + | 0.292623i | ||||
\(443\) | 13.0384 | + | 4.74560i | 0.619475 | + | 0.225470i | 0.632644 | − | 0.774443i | \(-0.281970\pi\) |
−0.0131689 | + | 0.999913i | \(0.504192\pi\) | |||||||
\(444\) | 0.277409 | + | 0.480486i | 0.0131652 | + | 0.0228029i | ||||
\(445\) | 0.253910 | − | 0.439786i | 0.0120365 | − | 0.0208478i | ||||
\(446\) | 14.2099 | − | 11.9235i | 0.672859 | − | 0.564596i | ||||
\(447\) | 16.2058 | − | 13.5983i | 0.766510 | − | 0.643178i | ||||
\(448\) | −0.144694 | + | 0.250617i | −0.00683614 | + | 0.0118405i | ||||
\(449\) | 3.00375 | + | 5.20265i | 0.141756 | + | 0.245528i | 0.928158 | − | 0.372187i | \(-0.121392\pi\) |
−0.786402 | + | 0.617715i | \(0.788059\pi\) | |||||||
\(450\) | 0.407317 | + | 0.148251i | 0.0192011 | + | 0.00698863i | ||||
\(451\) | −0.0194628 | + | 0.110379i | −0.000916467 | + | 0.00519754i | ||||
\(452\) | 1.45759 | + | 8.26642i | 0.0685594 | + | 0.388820i | ||||
\(453\) | 4.27722 | − | 1.55678i | 0.200961 | − | 0.0731439i | ||||
\(454\) | −3.87889 | − | 3.25477i | −0.182045 | − | 0.152754i | ||||
\(455\) | 6.34544 | 0.297479 | ||||||||
\(456\) | 19.0578 | + | 0.216899i | 0.892465 | + | 0.0101572i | ||||
\(457\) | −23.9751 | −1.12151 | −0.560754 | − | 0.827982i | \(-0.689489\pi\) | ||||
−0.560754 | + | 0.827982i | \(0.689489\pi\) | |||||||
\(458\) | −13.7032 | − | 11.4984i | −0.640311 | − | 0.537285i | ||||
\(459\) | 26.5657 | − | 9.66912i | 1.23998 | − | 0.451316i | ||||
\(460\) | 0.933886 | + | 5.29633i | 0.0435426 | + | 0.246943i | ||||
\(461\) | −6.26625 | + | 35.5376i | −0.291848 | + | 1.65515i | 0.387896 | + | 0.921703i | \(0.373202\pi\) |
−0.679744 | + | 0.733450i | \(0.737909\pi\) | |||||||
\(462\) | −20.2949 | − | 7.38673i | −0.944203 | − | 0.343662i | ||||
\(463\) | −3.52141 | − | 6.09926i | −0.163654 | − | 0.283457i | 0.772523 | − | 0.634987i | \(-0.218995\pi\) |
−0.936176 | + | 0.351531i | \(0.885661\pi\) | |||||||
\(464\) | −4.58171 | + | 7.93576i | −0.212701 | + | 0.368408i | ||||
\(465\) | 9.65742 | − | 8.10354i | 0.447852 | − | 0.375793i | ||||
\(466\) | 3.32105 | − | 2.78669i | 0.153845 | − | 0.129091i | ||||
\(467\) | −19.8650 | + | 34.4072i | −0.919244 | + | 1.59218i | −0.118678 | + | 0.992933i | \(0.537866\pi\) |
−0.800566 | + | 0.599245i | \(0.795468\pi\) | |||||||
\(468\) | 0.850201 | + | 1.47259i | 0.0393006 | + | 0.0680706i | ||||
\(469\) | −39.4826 | − | 14.3705i | −1.82314 | − | 0.663568i | ||||
\(470\) | 0.157174 | − | 0.891376i | 0.00724988 | − | 0.0411161i | ||||
\(471\) | −1.07716 | − | 6.10886i | −0.0496327 | − | 0.281481i | ||||
\(472\) | −20.4325 | + | 7.43683i | −0.940483 | + | 0.342308i | ||||
\(473\) | −15.2306 | − | 12.7800i | −0.700305 | − | 0.587626i | ||||
\(474\) | −20.9777 | −0.963539 | ||||||||
\(475\) | 0.805718 | − | 4.28379i | 0.0369689 | − | 0.196554i | ||||
\(476\) | −41.6089 | −1.90714 | ||||||||
\(477\) | −0.840113 | − | 0.704938i | −0.0384661 | − | 0.0322769i | ||||
\(478\) | −7.96402 | + | 2.89867i | −0.364266 | + | 0.132582i | ||||
\(479\) | −6.30401 | − | 35.7518i | −0.288038 | − | 1.63354i | −0.694229 | − | 0.719754i | \(-0.744255\pi\) |
0.406192 | − | 0.913788i | \(-0.366857\pi\) | |||||||
\(480\) | −1.88933 | + | 10.7149i | −0.0862355 | + | 0.489066i | ||||
\(481\) | −0.263486 | − | 0.0959012i | −0.0120139 | − | 0.00437272i | ||||
\(482\) | −8.11670 | − | 14.0585i | −0.369705 | − | 0.640349i | ||||
\(483\) | 13.1952 | − | 22.8548i | 0.600403 | − | 1.03993i | ||||
\(484\) | −9.68943 | + | 8.13040i | −0.440429 | + | 0.369564i | ||||
\(485\) | 2.51273 | − | 2.10843i | 0.114097 | − | 0.0957389i | ||||
\(486\) | −2.21125 | + | 3.83000i | −0.100305 | + | 0.173733i | ||||
\(487\) | 1.26752 | + | 2.19541i | 0.0574368 | + | 0.0994835i | 0.893314 | − | 0.449433i | \(-0.148374\pi\) |
−0.835877 | + | 0.548916i | \(0.815041\pi\) | |||||||
\(488\) | 13.0400 | + | 4.74616i | 0.590292 | + | 0.214849i | ||||
\(489\) | 2.19397 | − | 12.4426i | 0.0992147 | − | 0.562675i | ||||
\(490\) | −1.06799 | − | 6.05689i | −0.0482470 | − | 0.273622i | ||||
\(491\) | 34.1243 | − | 12.4202i | 1.54001 | − | 0.560516i | 0.573959 | − | 0.818884i | \(-0.305407\pi\) |
0.966047 | + | 0.258367i | \(0.0831845\pi\) | |||||||
\(492\) | −0.0606317 | − | 0.0508761i | −0.00273349 | − | 0.00229367i | ||||
\(493\) | 33.1619 | 1.49354 | ||||||||
\(494\) | −3.31004 | + | 2.71386i | −0.148926 | + | 0.122102i | ||||
\(495\) | −2.97859 | −0.133877 | ||||||||
\(496\) | 8.84356 | + | 7.42063i | 0.397088 | + | 0.333196i | ||||
\(497\) | 41.7563 | − | 15.1980i | 1.87303 | − | 0.681725i | ||||
\(498\) | 1.08770 | + | 6.16864i | 0.0487409 | + | 0.276423i | ||||
\(499\) | −3.11167 | + | 17.6471i | −0.139297 | + | 0.789994i | 0.832473 | + | 0.554066i | \(0.186924\pi\) |
−0.971770 | + | 0.235929i | \(0.924187\pi\) | |||||||
\(500\) | 1.50312 | + | 0.547092i | 0.0672217 | + | 0.0244667i | ||||
\(501\) | −15.2156 | − | 26.3542i | −0.679783 | − | 1.17742i | ||||
\(502\) | −2.88564 | + | 4.99807i | −0.128792 | + | 0.223075i | ||||
\(503\) | −15.7096 | + | 13.1819i | −0.700457 | + | 0.587753i | −0.921904 | − | 0.387419i | \(-0.873367\pi\) |
0.221447 | + | 0.975173i | \(0.428922\pi\) | |||||||
\(504\) | 4.88726 | − | 4.10090i | 0.217696 | − | 0.182669i | ||||
\(505\) | 1.74523 | − | 3.02283i | 0.0776618 | − | 0.134514i | ||||
\(506\) | 4.62546 | + | 8.01153i | 0.205627 | + | 0.356156i | ||||
\(507\) | 19.1061 | + | 6.95407i | 0.848534 | + | 0.308841i | ||||
\(508\) | −1.48008 | + | 8.39397i | −0.0656681 | + | 0.372422i | ||||
\(509\) | −2.67442 | − | 15.1674i | −0.118542 | − | 0.672283i | −0.984936 | − | 0.172922i | \(-0.944679\pi\) |
0.866394 | − | 0.499361i | \(-0.166432\pi\) | |||||||
\(510\) | 7.26146 | − | 2.64295i | 0.321543 | − | 0.117032i | ||||
\(511\) | −42.6626 | − | 35.7982i | −1.88728 | − | 1.58362i | ||||
\(512\) | −17.9712 | −0.794223 | ||||||||
\(513\) | 18.1260 | + | 6.83190i | 0.800280 | + | 0.301636i | ||||
\(514\) | 15.6591 | 0.690695 | ||||||||
\(515\) | 6.61206 | + | 5.54818i | 0.291362 | + | 0.244482i | ||||
\(516\) | 13.1935 | − | 4.80205i | 0.580812 | − | 0.211398i | ||||
\(517\) | 1.08005 | + | 6.12526i | 0.0475004 | + | 0.269388i | ||||
\(518\) | −0.0811817 | + | 0.460404i | −0.00356692 | + | 0.0202290i | ||||
\(519\) | 3.42949 | + | 1.24823i | 0.150538 | + | 0.0547913i | ||||
\(520\) | −1.76736 | − | 3.06116i | −0.0775040 | − | 0.134241i | ||||
\(521\) | 1.17999 | − | 2.04381i | 0.0516965 | − | 0.0895409i | −0.839019 | − | 0.544102i | \(-0.816870\pi\) |
0.890716 | + | 0.454561i | \(0.150204\pi\) | |||||||
\(522\) | −1.73091 | + | 1.45240i | −0.0757597 | + | 0.0635700i | ||||
\(523\) | 14.5909 | − | 12.2432i | 0.638014 | − | 0.535358i | −0.265393 | − | 0.964140i | \(-0.585502\pi\) |
0.903408 | + | 0.428783i | \(0.141057\pi\) | |||||||
\(524\) | −1.36974 | + | 2.37246i | −0.0598374 | + | 0.103641i | ||||
\(525\) | −3.92465 | − | 6.79769i | −0.171286 | − | 0.296676i | ||||
\(526\) | −8.70019 | − | 3.16661i | −0.379346 | − | 0.138071i | ||||
\(527\) | 7.25478 | − | 41.1439i | 0.316023 | − | 1.79226i | ||||
\(528\) | −2.54795 | − | 14.4501i | −0.110885 | − | 0.628861i | ||||
\(529\) | 10.9907 | − | 4.00028i | 0.477856 | − | 0.173925i | ||||
\(530\) | 0.776063 | + | 0.651194i | 0.0337100 | + | 0.0282861i | ||||
\(531\) | 6.53919 | 0.283777 | ||||||||
\(532\) | −21.6300 | − | 18.5732i | −0.937777 | − | 0.805252i | ||||
\(533\) | 0.0400008 | 0.00173263 | ||||||||
\(534\) | 0.472538 | + | 0.396506i | 0.0204487 | + | 0.0171585i | ||||
\(535\) | −5.89623 | + | 2.14605i | −0.254916 | + | 0.0927819i | ||||
\(536\) | 4.06429 | + | 23.0497i | 0.175551 | + | 0.995597i | ||||
\(537\) | −4.76022 | + | 26.9966i | −0.205419 | + | 1.16499i | ||||
\(538\) | 10.2296 | + | 3.72326i | 0.441028 | + | 0.160521i | ||||
\(539\) | 21.1316 | + | 36.6009i | 0.910200 | + | 1.57651i | ||||
\(540\) | −3.55425 | + | 6.15613i | −0.152950 | + | 0.264918i | ||||
\(541\) | −3.83099 | + | 3.21458i | −0.164707 | + | 0.138206i | −0.721416 | − | 0.692502i | \(-0.756508\pi\) |
0.556709 | + | 0.830708i | \(0.312064\pi\) | |||||||
\(542\) | −6.62670 | + | 5.56046i | −0.284641 | + | 0.238842i | ||||
\(543\) | −13.8078 | + | 23.9158i | −0.592550 | + | 1.02633i | ||||
\(544\) | 18.0282 | + | 31.2258i | 0.772955 | + | 1.33880i | ||||
\(545\) | −9.26972 | − | 3.37390i | −0.397071 | − | 0.144522i | ||||
\(546\) | −1.33846 | + | 7.59076i | −0.0572806 | + | 0.324854i | ||||
\(547\) | −0.426450 | − | 2.41852i | −0.0182337 | − | 0.103408i | 0.974333 | − | 0.225113i | \(-0.0722751\pi\) |
−0.992566 | + | 0.121705i | \(0.961164\pi\) | |||||||
\(548\) | 8.63656 | − | 3.14345i | 0.368936 | − | 0.134282i | ||||
\(549\) | −3.19693 | − | 2.68254i | −0.136442 | − | 0.114488i | ||||
\(550\) | 2.75150 | 0.117324 | ||||||||
\(551\) | 17.2388 | + | 14.8027i | 0.734400 | + | 0.630615i | ||||
\(552\) | −14.7008 | −0.625706 | ||||||||
\(553\) | 54.0944 | + | 45.3906i | 2.30033 | + | 1.93020i | ||||
\(554\) | −8.00339 | + | 2.91299i | −0.340031 | + | 0.123761i | ||||
\(555\) | 0.0602299 | + | 0.341581i | 0.00255662 | + | 0.0144993i | ||||
\(556\) | 4.88463 | − | 27.7021i | 0.207155 | − | 1.17483i | ||||
\(557\) | 4.38265 | + | 1.59515i | 0.185699 | + | 0.0675889i | 0.433196 | − | 0.901300i | \(-0.357386\pi\) |
−0.247497 | + | 0.968889i | \(0.579608\pi\) | |||||||
\(558\) | 1.42333 | + | 2.46528i | 0.0602543 | + | 0.104363i | ||||
\(559\) | −3.54786 | + | 6.14508i | −0.150059 | + | 0.259909i | ||||
\(560\) | 5.50619 | − | 4.62024i | 0.232679 | − | 0.195241i | ||||
\(561\) | −40.6776 | + | 34.1326i | −1.71741 | + | 1.44108i | ||||
\(562\) | −5.52939 | + | 9.57719i | −0.233243 | + | 0.403989i | ||||
\(563\) | −17.3165 | − | 29.9930i | −0.729803 | − | 1.26406i | −0.956966 | − | 0.290199i | \(-0.906278\pi\) |
0.227163 | − | 0.973857i | \(-0.427055\pi\) | |||||||
\(564\) | −4.12733 | − | 1.50223i | −0.173792 | − | 0.0632552i | ||||
\(565\) | −0.911229 | + | 5.16784i | −0.0383357 | + | 0.217413i | ||||
\(566\) | 2.31118 | + | 13.1074i | 0.0971463 | + | 0.550944i | ||||
\(567\) | 40.6744 | − | 14.8043i | 1.70816 | − | 0.621720i | ||||
\(568\) | −18.9620 | − | 15.9110i | −0.795628 | − | 0.667611i | ||||
\(569\) | −20.6116 | −0.864081 | −0.432041 | − | 0.901854i | \(-0.642206\pi\) | ||||
−0.432041 | + | 0.901854i | \(0.642206\pi\) | |||||||
\(570\) | 4.95455 | + | 1.86743i | 0.207523 | + | 0.0782181i | ||||
\(571\) | 11.1132 | 0.465071 | 0.232536 | − | 0.972588i | \(-0.425298\pi\) | ||||
0.232536 | + | 0.972588i | \(0.425298\pi\) | |||||||
\(572\) | 8.26853 | + | 6.93812i | 0.345725 | + | 0.290097i | ||||
\(573\) | −43.6159 | + | 15.8749i | −1.82208 | + | 0.663183i | ||||
\(574\) | −0.0115812 | − | 0.0656803i | −0.000483390 | − | 0.00274144i | ||||
\(575\) | −0.583829 | + | 3.31106i | −0.0243473 | + | 0.138081i | ||||
\(576\) | −0.0455562 | − | 0.0165811i | −0.00189818 | − | 0.000690879i | ||||
\(577\) | 14.3527 | + | 24.8596i | 0.597510 | + | 1.03492i | 0.993187 | + | 0.116528i | \(0.0371765\pi\) |
−0.395677 | + | 0.918390i | \(0.629490\pi\) | |||||||
\(578\) | 7.42564 | − | 12.8616i | 0.308866 | − | 0.534971i | ||||
\(579\) | −7.51998 | + | 6.31001i | −0.312520 | + | 0.262235i | ||||
\(580\) | −6.38756 | + | 5.35980i | −0.265229 | + | 0.222554i | ||||
\(581\) | 10.5426 | − | 18.2603i | 0.437381 | − | 0.757566i | ||||
\(582\) | 1.99220 | + | 3.45060i | 0.0825795 | + | 0.143032i | ||||
\(583\) | −6.54172 | − | 2.38099i | −0.270930 | − | 0.0986106i | ||||
\(584\) | −5.38713 | + | 30.5519i | −0.222921 | + | 1.26425i | ||||
\(585\) | 0.184592 | + | 1.04687i | 0.00763195 | + | 0.0432830i | ||||
\(586\) | −6.38114 | + | 2.32254i | −0.263602 | + | 0.0959434i | ||||
\(587\) | 1.37306 | + | 1.15213i | 0.0566723 | + | 0.0475537i | 0.670684 | − | 0.741743i | \(-0.266001\pi\) |
−0.614012 | + | 0.789297i | \(0.710445\pi\) | |||||||
\(588\) | −29.8451 | −1.23079 | ||||||||
\(589\) | 22.1370 | − | 18.1499i | 0.912139 | − | 0.747852i | ||||
\(590\) | −6.04064 | −0.248689 | ||||||||
\(591\) | 0.0945347 | + | 0.0793240i | 0.00388864 | + | 0.00326295i | ||||
\(592\) | −0.298465 | + | 0.108632i | −0.0122668 | + | 0.00446476i | ||||
\(593\) | 0.291962 | + | 1.65580i | 0.0119894 | + | 0.0679955i | 0.990215 | − | 0.139547i | \(-0.0445646\pi\) |
−0.978226 | + | 0.207542i | \(0.933453\pi\) | |||||||
\(594\) | −2.12329 | + | 12.0418i | −0.0871195 | + | 0.494079i | ||||
\(595\) | −24.4435 | − | 8.89671i | −1.00209 | − | 0.364730i | ||||
\(596\) | 8.81407 | + | 15.2664i | 0.361039 | + | 0.625337i | ||||
\(597\) | 6.12363 | − | 10.6064i | 0.250623 | − | 0.434093i | ||||
\(598\) | 2.52913 | − | 2.12220i | 0.103424 | − | 0.0867830i | ||||
\(599\) | −1.65586 | + | 1.38943i | −0.0676568 | + | 0.0567708i | −0.675989 | − | 0.736912i | \(-0.736283\pi\) |
0.608332 | + | 0.793683i | \(0.291839\pi\) | |||||||
\(600\) | −2.18623 | + | 3.78665i | −0.0892523 | + | 0.154589i | ||||
\(601\) | −2.21602 | − | 3.83826i | −0.0903934 | − | 0.156566i | 0.817283 | − | 0.576236i | \(-0.195479\pi\) |
−0.907677 | + | 0.419670i | \(0.862146\pi\) | |||||||
\(602\) | 11.1173 | + | 4.04636i | 0.453106 | + | 0.164917i | ||||
\(603\) | 1.22228 | − | 6.93192i | 0.0497753 | − | 0.282290i | ||||
\(604\) | 0.658620 | + | 3.73522i | 0.0267989 | + | 0.151984i | ||||
\(605\) | −7.43056 | + | 2.70450i | −0.302095 | + | 0.109954i | ||||
\(606\) | 3.24795 | + | 2.72535i | 0.131939 | + | 0.110710i | ||||
\(607\) | 29.9817 | 1.21692 | 0.608460 | − | 0.793585i | \(-0.291788\pi\) | ||||
0.608460 | + | 0.793585i | \(0.291788\pi\) | |||||||
\(608\) | −4.56668 | + | 24.2798i | −0.185203 | + | 0.984676i | ||||
\(609\) | 40.9170 | 1.65804 | ||||||||
\(610\) | 2.95319 | + | 2.47802i | 0.119571 | + | 0.100332i | ||||
\(611\) | 2.08589 | − | 0.759203i | 0.0843862 | − | 0.0307141i | ||||
\(612\) | −1.21043 | − | 6.86467i | −0.0489286 | − | 0.277488i | ||||
\(613\) | 3.44456 | − | 19.5351i | 0.139124 | − | 0.789013i | −0.832774 | − | 0.553613i | \(-0.813249\pi\) |
0.971898 | − | 0.235400i | \(-0.0756402\pi\) | |||||||
\(614\) | −1.61096 | − | 0.586341i | −0.0650130 | − | 0.0236628i | ||||
\(615\) | −0.0247405 | − | 0.0428517i | −0.000997631 | − | 0.00172795i | ||||
\(616\) | 20.2490 | − | 35.0724i | 0.815857 | − | 1.41311i | ||||
\(617\) | 16.1011 | − | 13.5104i | 0.648206 | − | 0.543909i | −0.258320 | − | 0.966059i | \(-0.583169\pi\) |
0.906526 | + | 0.422150i | \(0.138725\pi\) | |||||||
\(618\) | −8.03173 | + | 6.73942i | −0.323083 | + | 0.271099i | ||||
\(619\) | −10.1316 | + | 17.5484i | −0.407223 | + | 0.705331i | −0.994577 | − | 0.103999i | \(-0.966836\pi\) |
0.587354 | + | 0.809330i | \(0.300169\pi\) | |||||||
\(620\) | 5.25251 | + | 9.09761i | 0.210946 | + | 0.365369i | ||||
\(621\) | −14.0401 | − | 5.11018i | −0.563410 | − | 0.205064i | ||||
\(622\) | 0.797413 | − | 4.52235i | 0.0319733 | − | 0.181330i | ||||
\(623\) | −0.360573 | − | 2.04491i | −0.0144460 | − | 0.0819275i | ||||
\(624\) | −4.92084 | + | 1.79104i | −0.196991 | + | 0.0716990i | ||||
\(625\) | 0.766044 | + | 0.642788i | 0.0306418 | + | 0.0257115i | ||||
\(626\) | 5.49193 | 0.219501 | ||||||||
\(627\) | −36.3818 | − | 0.414065i | −1.45295 | − | 0.0165362i | ||||
\(628\) | 5.16890 | 0.206261 | ||||||||
\(629\) | 0.880527 | + | 0.738850i | 0.0351089 | + | 0.0294599i | ||||
\(630\) | 1.66550 | − | 0.606192i | 0.0663551 | − | 0.0241513i | ||||
\(631\) | 6.98027 | + | 39.5871i | 0.277880 | + | 1.57594i | 0.729661 | + | 0.683809i | \(0.239678\pi\) |
−0.451781 | + | 0.892129i | \(0.649211\pi\) | |||||||
\(632\) | 6.83066 | − | 38.7386i | 0.271709 | − | 1.54094i | ||||
\(633\) | 10.6642 | + | 3.88145i | 0.423863 | + | 0.154274i | ||||
\(634\) | −10.1015 | − | 17.4964i | −0.401183 | − | 0.694870i | ||||
\(635\) | −2.66427 | + | 4.61465i | −0.105728 | + | 0.183127i | ||||
\(636\) | 3.76592 | − | 3.15998i | 0.149329 | − | 0.125302i | ||||
\(637\) | 11.5544 | − | 9.69532i | 0.457803 | − | 0.384143i | ||||
\(638\) | −7.17154 | + | 12.4215i | −0.283924 | + | 0.491771i | ||||
\(639\) | 3.72210 | + | 6.44686i | 0.147244 | + | 0.255034i | ||||
\(640\) | −10.6100 | − | 3.86171i | −0.419396 | − | 0.152648i | ||||
\(641\) | 0.606201 | − | 3.43794i | 0.0239435 | − | 0.135790i | −0.970493 | − | 0.241130i | \(-0.922482\pi\) |
0.994436 | + | 0.105340i | \(0.0335930\pi\) | |||||||
\(642\) | −1.32352 | − | 7.50606i | −0.0522352 | − | 0.296241i | ||||
\(643\) | −34.0072 | + | 12.3776i | −1.34111 | + | 0.488125i | −0.910162 | − | 0.414252i | \(-0.864043\pi\) |
−0.430949 | + | 0.902376i | \(0.641821\pi\) | |||||||
\(644\) | 16.8457 | + | 14.1352i | 0.663814 | + | 0.557006i | ||||
\(645\) | 8.77741 | 0.345610 | ||||||||
\(646\) | 16.5557 | − | 5.81330i | 0.651377 | − | 0.228721i | ||||
\(647\) | −21.1005 | −0.829545 | −0.414772 | − | 0.909925i | \(-0.636139\pi\) | ||||
−0.414772 | + | 0.909925i | \(0.636139\pi\) | |||||||
\(648\) | −18.4707 | − | 15.4987i | −0.725597 | − | 0.608848i | ||||
\(649\) | 39.0061 | − | 14.1971i | 1.53112 | − | 0.557283i | ||||
\(650\) | −0.170519 | − | 0.967062i | −0.00668831 | − | 0.0379313i | ||||
\(651\) | 8.95137 | − | 50.7657i | 0.350832 | − | 1.98967i | ||||
\(652\) | 9.89317 | + | 3.60082i | 0.387446 | + | 0.141019i | ||||
\(653\) | 8.38024 | + | 14.5150i | 0.327944 | + | 0.568016i | 0.982104 | − | 0.188341i | \(-0.0603110\pi\) |
−0.654160 | + | 0.756356i | \(0.726978\pi\) | |||||||
\(654\) | 5.99132 | − | 10.3773i | 0.234279 | − | 0.405784i | ||||
\(655\) | −1.31194 | + | 1.10085i | −0.0512617 | + | 0.0430137i | ||||
\(656\) | 0.0347102 | − | 0.0291253i | 0.00135521 | − | 0.00113715i | ||||
\(657\) | 4.66493 | − | 8.07989i | 0.181996 | − | 0.315227i | ||||
\(658\) | −1.85051 | − | 3.20518i | −0.0721404 | − | 0.124951i | ||||
\(659\) | −34.8179 | − | 12.6727i | −1.35631 | − | 0.493658i | −0.441401 | − | 0.897310i | \(-0.645518\pi\) |
−0.914913 | + | 0.403652i | \(0.867741\pi\) | |||||||
\(660\) | 2.31854 | − | 13.1491i | 0.0902489 | − | 0.511827i | ||||
\(661\) | 3.76649 | + | 21.3608i | 0.146500 | + | 0.830841i | 0.966151 | + | 0.257978i | \(0.0830561\pi\) |
−0.819651 | + | 0.572863i | \(0.805833\pi\) | |||||||
\(662\) | 14.4492 | − | 5.25908i | 0.561584 | − | 0.204400i | ||||
\(663\) | 14.5174 | + | 12.1815i | 0.563809 | + | 0.473092i | ||||
\(664\) | −11.7455 | −0.455814 | ||||||||
\(665\) | −8.73543 | − | 15.5359i | −0.338745 | − | 0.602455i | ||||
\(666\) | −0.0783194 | −0.00303482 | ||||||||
\(667\) | −13.4259 | − | 11.2656i | −0.519851 | − | 0.436207i | ||||
\(668\) | 23.8284 | − | 8.67282i | 0.921948 | − | 0.335561i | ||||
\(669\) | −9.77178 | − | 55.4185i | −0.377799 | − | 2.14260i | ||||
\(670\) | −1.12910 | + | 6.40343i | −0.0436209 | + | 0.247386i | ||||
\(671\) | −24.8936 | − | 9.06052i | −0.961006 | − | 0.349777i | ||||
\(672\) | 22.2443 | + | 38.5282i | 0.858092 | + | 1.48626i | ||||
\(673\) | 2.69790 | − | 4.67290i | 0.103996 | − | 0.180127i | −0.809331 | − | 0.587352i | \(-0.800170\pi\) |
0.913328 | + | 0.407225i | \(0.133504\pi\) | |||||||
\(674\) | −13.7599 | + | 11.5459i | −0.530011 | + | 0.444732i | ||||
\(675\) | −3.40426 | + | 2.85652i | −0.131030 | + | 0.109947i | ||||
\(676\) | −8.47123 | + | 14.6726i | −0.325817 | + | 0.564331i | ||||
\(677\) | 15.4611 | + | 26.7794i | 0.594217 | + | 1.02921i | 0.993657 | + | 0.112455i | \(0.0358713\pi\) |
−0.399440 | + | 0.916759i | \(0.630795\pi\) | |||||||
\(678\) | −5.98984 | − | 2.18012i | −0.230039 | − | 0.0837272i | ||||
\(679\) | 2.32902 | − | 13.2086i | 0.0893798 | − | 0.506898i | ||||
\(680\) | 2.51618 | + | 14.2700i | 0.0964912 | + | 0.547229i | ||||
\(681\) | −14.4346 | + | 5.25376i | −0.553135 | + | 0.201325i | ||||
\(682\) | 13.8424 | + | 11.6152i | 0.530053 | + | 0.444767i | ||||
\(683\) | −21.3136 | −0.815542 | −0.407771 | − | 0.913084i | \(-0.633694\pi\) | ||||
−0.407771 | + | 0.913084i | \(0.633694\pi\) | |||||||
\(684\) | 2.43500 | − | 4.10883i | 0.0931045 | − | 0.157105i | ||||
\(685\) | 5.74575 | 0.219534 | ||||||||
\(686\) | −5.39029 | − | 4.52299i | −0.205802 | − | 0.172689i | ||||
\(687\) | −50.9943 | + | 18.5604i | −1.94555 | + | 0.708123i | ||||
\(688\) | 1.39573 | + | 7.91560i | 0.0532118 | + | 0.301779i | ||||
\(689\) | −0.431429 | + | 2.44676i | −0.0164362 | + | 0.0932141i | ||||
\(690\) | −3.83772 | − | 1.39682i | −0.146099 | − | 0.0531758i | ||||
\(691\) | 3.81597 | + | 6.60946i | 0.145166 | + | 0.251436i | 0.929435 | − | 0.368986i | \(-0.120295\pi\) |
−0.784269 | + | 0.620421i | \(0.786962\pi\) | |||||||
\(692\) | −1.52056 | + | 2.63368i | −0.0578029 | + | 0.100118i | ||||
\(693\) | −9.32988 | + | 7.82870i | −0.354413 | + | 0.297388i | ||||
\(694\) | 15.0760 | − | 12.6503i | 0.572279 | − | 0.480199i | ||||
\(695\) | 8.79272 | − | 15.2294i | 0.333527 | − | 0.577686i | ||||
\(696\) | −11.3964 | − | 19.7392i | −0.431980 | − | 0.748211i | ||||
\(697\) | −0.154089 | − | 0.0560837i | −0.00583652 | − | 0.00212432i | ||||
\(698\) | −1.92070 | + | 10.8928i | −0.0726995 | + | 0.412299i | ||||
\(699\) | −2.28380 | − | 12.9521i | −0.0863812 | − | 0.489892i | ||||
\(700\) | 6.14619 | − | 2.23703i | 0.232304 | − | 0.0845518i | ||||
\(701\) | 12.1942 | + | 10.2321i | 0.460568 | + | 0.386463i | 0.843340 | − | 0.537380i | \(-0.180586\pi\) |
−0.382772 | + | 0.923843i | \(0.625030\pi\) | |||||||
\(702\) | 4.36387 | 0.164704 | ||||||||
\(703\) | 0.127928 | + | 0.777130i | 0.00482488 | + | 0.0293100i | ||||
\(704\) | −0.307740 | −0.0115984 | ||||||||
\(705\) | −2.10344 | − | 1.76499i | −0.0792200 | − | 0.0664735i | ||||
\(706\) | −5.24776 | + | 1.91003i | −0.197502 | + | 0.0718848i | ||||
\(707\) | −2.47837 | − | 14.0555i | −0.0932085 | − | 0.528612i | ||||
\(708\) | −5.09012 | + | 28.8675i | −0.191298 | + | 1.08491i | ||||
\(709\) | 37.3356 | + | 13.5890i | 1.40217 | + | 0.510347i | 0.928821 | − | 0.370530i | \(-0.120824\pi\) |
0.473346 | + | 0.880877i | \(0.343046\pi\) | |||||||
\(710\) | −3.43833 | − | 5.95536i | −0.129038 | − | 0.223501i | ||||
\(711\) | −5.91494 | + | 10.2450i | −0.221827 | + | 0.384216i | ||||
\(712\) | −0.886075 | + | 0.743505i | −0.0332071 | + | 0.0278640i | ||||
\(713\) | −16.9144 | + | 14.1929i | −0.633450 | + | 0.531528i | ||||
\(714\) | 15.7987 | − | 27.3641i | 0.591250 | − | 1.02407i | ||||
\(715\) | 3.37393 | + | 5.84382i | 0.126178 | + | 0.218546i | ||||
\(716\) | −21.4651 | − | 7.81265i | −0.802187 | − | 0.291972i | ||||
\(717\) | −4.46460 | + | 25.3200i | −0.166734 | + | 0.945593i | ||||
\(718\) | −2.18903 | − | 12.4146i | −0.0816938 | − | 0.463308i | ||||
\(719\) | 7.66940 | − | 2.79143i | 0.286020 | − | 0.104103i | −0.195026 | − | 0.980798i | \(-0.562479\pi\) |
0.481046 | + | 0.876695i | \(0.340257\pi\) | |||||||
\(720\) | 0.922428 | + | 0.774009i | 0.0343769 | + | 0.0288456i | ||||
\(721\) | 35.2935 | 1.31440 | ||||||||
\(722\) | 11.2012 | + | 4.36811i | 0.416867 | + | 0.162564i | ||||
\(723\) | −49.2465 | −1.83150 | ||||||||
\(724\) | −17.6278 | − | 14.7915i | −0.655132 | − | 0.549721i | ||||
\(725\) | −4.89845 | + | 1.78289i | −0.181924 | + | 0.0662149i | ||||
\(726\) | −1.66793 | − | 9.45931i | −0.0619028 | − | 0.351068i | ||||
\(727\) | −0.272620 | + | 1.54611i | −0.0101109 | + | 0.0573419i | −0.989446 | − | 0.144904i | \(-0.953713\pi\) |
0.979335 | + | 0.202246i | \(0.0648239\pi\) | |||||||
\(728\) | −13.5817 | − | 4.94333i | −0.503370 | − | 0.183212i | ||||
\(729\) | −9.17050 | − | 15.8838i | −0.339648 | − | 0.588288i | ||||
\(730\) | −4.30928 | + | 7.46389i | −0.159493 | + | 0.276251i | ||||
\(731\) | 22.2827 | − | 18.6974i | 0.824154 | − | 0.691548i | ||||
\(732\) | 14.3307 | − | 12.0249i | 0.529677 | − | 0.444452i | ||||
\(733\) | −2.20731 | + | 3.82317i | −0.0815288 | + | 0.141212i | −0.903907 | − | 0.427729i | \(-0.859314\pi\) |
0.822378 | + | 0.568941i | \(0.192647\pi\) | |||||||
\(734\) | 2.67552 | + | 4.63414i | 0.0987553 | + | 0.171049i | ||||
\(735\) | −17.5327 | − | 6.38140i | −0.646705 | − | 0.235381i | ||||
\(736\) | 3.30905 | − | 18.7665i | 0.121973 | − | 0.691744i | ||||
\(737\) | −7.75881 | − | 44.0024i | −0.285799 | − | 1.62085i | ||||
\(738\) | 0.0104991 | − | 0.00382135i | 0.000386476 | − | 0.000140666i | ||||
\(739\) | −7.78848 | − | 6.53531i | −0.286504 | − | 0.240405i | 0.488197 | − | 0.872734i | \(-0.337655\pi\) |
−0.774700 | + | 0.632328i | \(0.782099\pi\) | |||||||
\(740\) | −0.289022 | −0.0106247 | ||||||||
\(741\) | 2.10916 | + | 12.8127i | 0.0774821 | + | 0.470685i | ||||
\(742\) | 4.14243 | 0.152073 | ||||||||
\(743\) | 5.39641 | + | 4.52813i | 0.197975 | + | 0.166121i | 0.736386 | − | 0.676562i | \(-0.236531\pi\) |
−0.538411 | + | 0.842682i | \(0.680975\pi\) | |||||||
\(744\) | −26.9835 | + | 9.82121i | −0.989265 | + | 0.360063i | ||||
\(745\) | 1.91368 | + | 10.8530i | 0.0701117 | + | 0.397623i | ||||
\(746\) | 0.784320 | − | 4.44810i | 0.0287160 | − | 0.162857i | ||||
\(747\) | 3.31929 | + | 1.20812i | 0.121447 | + | 0.0442029i | ||||
\(748\) | −22.1239 | − | 38.3196i | −0.808928 | − | 1.40110i | ||||
\(749\) | −12.8283 | + | 22.2193i | −0.468737 | + | 0.811877i | ||||
\(750\) | −0.930521 | + | 0.780800i | −0.0339778 | + | 0.0285108i | ||||
\(751\) | 19.7520 | − | 16.5739i | 0.720760 | − | 0.604789i | −0.206835 | − | 0.978376i | \(-0.566316\pi\) |
0.927595 | + | 0.373586i | \(0.121872\pi\) | |||||||
\(752\) | 1.25722 | − | 2.17757i | 0.0458461 | − | 0.0794078i | ||||
\(753\) | 8.75402 | + | 15.1624i | 0.319014 | + | 0.552549i | ||||
\(754\) | 4.81018 | + | 1.75076i | 0.175176 | + | 0.0637590i | ||||
\(755\) | −0.411744 | + | 2.33511i | −0.0149849 | + | 0.0849835i | ||||
\(756\) | 5.04731 | + | 28.6247i | 0.183569 | + | 1.04107i | ||||
\(757\) | −18.0947 | + | 6.58595i | −0.657665 | + | 0.239370i | −0.649228 | − | 0.760594i | \(-0.724908\pi\) |
−0.00843696 | + | 0.999964i | \(0.502686\pi\) | |||||||
\(758\) | −2.96348 | − | 2.48666i | −0.107639 | − | 0.0903195i | ||||
\(759\) | 28.0641 | 1.01866 | ||||||||
\(760\) | −5.06177 | + | 8.54126i | −0.183610 | + | 0.309824i | ||||
\(761\) | 30.9500 | 1.12194 | 0.560969 | − | 0.827837i | \(-0.310429\pi\) | ||||
0.560969 | + | 0.827837i | \(0.310429\pi\) | |||||||
\(762\) | −4.95831 | − | 4.16052i | −0.179621 | − | 0.150720i | ||||
\(763\) | −37.9034 | + | 13.7957i | −1.37220 | + | 0.499439i | ||||
\(764\) | −6.71612 | − | 38.0890i | −0.242981 | − | 1.37801i | ||||
\(765\) | 0.756711 | − | 4.29152i | 0.0273589 | − | 0.155160i | ||||
\(766\) | 0.311458 | + | 0.113361i | 0.0112534 | + | 0.00409592i | ||||
\(767\) | −7.40713 | − | 12.8295i | −0.267456 | − | 0.463247i | ||||
\(768\) | 6.99343 | − | 12.1130i | 0.252354 | − | 0.437090i | ||||
\(769\) | −22.7690 | + | 19.1055i | −0.821071 | + | 0.688960i | −0.953223 | − | 0.302269i | \(-0.902256\pi\) |
0.132152 | + | 0.991230i | \(0.457811\pi\) | |||||||
\(770\) | 8.61857 | − | 7.23184i | 0.310592 | − | 0.260617i | ||||
\(771\) | 23.7522 | − | 41.1400i | 0.855414 | − | 1.48162i | ||||
\(772\) | −4.08999 | − | 7.08407i | −0.147202 | − | 0.254961i | ||||
\(773\) | 11.6190 | + | 4.22899i | 0.417908 | + | 0.152106i | 0.542411 | − | 0.840113i | \(-0.317512\pi\) |
−0.124503 | + | 0.992219i | \(0.539734\pi\) | |||||||
\(774\) | −0.344163 | + | 1.95185i | −0.0123707 | + | 0.0701577i | ||||
\(775\) | 1.14040 | + | 6.46755i | 0.0409645 | + | 0.232321i | ||||
\(776\) | −7.02075 | + | 2.55534i | −0.252030 | + | 0.0917315i | ||||
\(777\) | 1.08645 | + | 0.911636i | 0.0389760 | + | 0.0327048i | ||||
\(778\) | 1.57965 | 0.0566333 | ||||||||
\(779\) | −0.0550669 | − | 0.0979360i | −0.00197298 | − | 0.00350892i | ||||
\(780\) | −4.76516 | −0.170620 | ||||||||
\(781\) | 36.1988 | + | 30.3744i | 1.29530 | + | 1.08688i | ||||
\(782\) | −12.7180 | + | 4.62899i | −0.454796 | + | 0.165532i | ||||
\(783\) | −4.02265 | − | 22.8136i | −0.143758 | − | 0.815291i | ||||
\(784\) | 2.96688 | − | 16.8260i | 0.105960 | − | 0.600929i | ||||
\(785\) | 3.03651 | + | 1.10520i | 0.108378 | + | 0.0394463i | ||||
\(786\) | −1.04016 | − | 1.80162i | −0.0371014 | − | 0.0642616i | ||||
\(787\) | −21.9353 | + | 37.9930i | −0.781909 | + | 1.35431i | 0.148920 | + | 0.988849i | \(0.452420\pi\) |
−0.930829 | + | 0.365456i | \(0.880913\pi\) | |||||||
\(788\) | −0.0787736 | + | 0.0660989i | −0.00280619 | + | 0.00235468i | ||||
\(789\) | −21.5161 | + | 18.0541i | −0.765993 | + | 0.642744i | ||||
\(790\) | 5.46398 | − | 9.46390i | 0.194400 | − | 0.336710i | ||||
\(791\) | 10.7285 | + | 18.5823i | 0.381462 | + | 0.660712i | ||||
\(792\) | 6.37532 | + | 2.32043i | 0.226537 | + | 0.0824527i | ||||
\(793\) | −1.64174 | + | 9.31078i | −0.0583000 | + | 0.330636i | ||||
\(794\) | 0.317309 | + | 1.79955i | 0.0112609 | + | 0.0638636i | ||||
\(795\) | 2.88798 | − | 1.05114i | 0.102426 | − | 0.0372801i | ||||
\(796\) | 7.81776 | + | 6.55988i | 0.277093 | + | 0.232509i | ||||
\(797\) | −5.08657 | −0.180176 | −0.0900879 | − | 0.995934i | \(-0.528715\pi\) | ||||
−0.0900879 | + | 0.995934i | \(0.528715\pi\) | |||||||
\(798\) | 20.4274 | − | 7.17278i | 0.723123 | − | 0.253914i | ||||
\(799\) | −9.09960 | −0.321921 | ||||||||
\(800\) | −4.34182 | − | 3.64322i | −0.153506 | − | 0.128807i | ||||
\(801\) | 0.326881 | − | 0.118975i | 0.0115498 | − | 0.00420378i | ||||
\(802\) | 1.89479 | + | 10.7459i | 0.0669073 | + | 0.379450i | ||||
\(803\) | 10.2841 | − | 58.3242i | 0.362919 | − | 2.05822i | ||||
\(804\) | 29.6498 | + | 10.7916i | 1.04567 | + | 0.380592i | ||||
\(805\) | 6.87380 | + | 11.9058i | 0.242270 | + | 0.419624i | ||||
\(806\) | 3.22449 | − | 5.58498i | 0.113578 | − | 0.196722i | ||||
\(807\) | 25.2983 | − | 21.2278i | 0.890542 | − | 0.747254i | ||||
\(808\) | −6.09036 | + | 5.11042i | −0.214258 | + | 0.179784i | ||||
\(809\) | −15.1064 | + | 26.1650i | −0.531112 | + | 0.919914i | 0.468228 | + | 0.883608i | \(0.344892\pi\) |
−0.999341 | + | 0.0363062i | \(0.988441\pi\) | |||||||
\(810\) | −3.34924 | − | 5.80105i | −0.117680 | − | 0.203828i | ||||
\(811\) | −3.43739 | − | 1.25111i | −0.120703 | − | 0.0439323i | 0.280963 | − | 0.959719i | \(-0.409346\pi\) |
−0.401666 | + | 0.915786i | \(0.631569\pi\) | |||||||
\(812\) | −5.92057 | + | 33.5772i | −0.207771 | + | 1.17833i | ||||
\(813\) | 4.55700 | + | 25.8441i | 0.159821 | + | 0.906391i | ||||
\(814\) | −0.467173 | + | 0.170037i | −0.0163744 | + | 0.00595980i | ||||
\(815\) | 5.04191 | + | 4.23067i | 0.176610 | + | 0.148194i | ||||
\(816\) | 21.4669 | 0.751493 | ||||||||
\(817\) | 19.9295 | + | 0.226820i | 0.697244 | + | 0.00793541i | ||||
\(818\) | 16.5221 | 0.577682 | ||||||||
\(819\) | 3.32973 | + | 2.79398i | 0.116350 | + | 0.0976295i | ||||
\(820\) | 0.0387447 | − | 0.0141019i | 0.00135303 | − | 0.000492461i | ||||
\(821\) | −3.37413 | − | 19.1357i | −0.117758 | − | 0.667839i | −0.985348 | − | 0.170558i | \(-0.945443\pi\) |
0.867589 | − | 0.497281i | \(-0.165668\pi\) | |||||||
\(822\) | −1.21196 | + | 6.87338i | −0.0422720 | + | 0.239737i | ||||
\(823\) | 4.92429 | + | 1.79230i | 0.171650 | + | 0.0624755i | 0.426416 | − | 0.904527i | \(-0.359776\pi\) |
−0.254766 | + | 0.967003i | \(0.581998\pi\) | |||||||
\(824\) | −9.83012 | − | 17.0263i | −0.342448 | − | 0.593138i | ||||
\(825\) | 4.17355 | − | 7.22880i | 0.145304 | − | 0.251674i | ||||
\(826\) | −18.9212 | + | 15.8768i | −0.658353 | + | 0.552424i | ||||
\(827\) | 43.8018 | − | 36.7541i | 1.52314 | − | 1.27806i | 0.692187 | − | 0.721718i | \(-0.256647\pi\) |
0.830950 | − | 0.556346i | \(-0.187797\pi\) | |||||||
\(828\) | −1.84199 | + | 3.19042i | −0.0640136 | + | 0.110875i | ||||
\(829\) | 7.34286 | + | 12.7182i | 0.255028 | + | 0.441722i | 0.964903 | − | 0.262606i | \(-0.0845819\pi\) |
−0.709875 | + | 0.704328i | \(0.751249\pi\) | |||||||
\(830\) | −3.06623 | − | 1.11602i | −0.106430 | − | 0.0387375i | ||||
\(831\) | −4.48667 | + | 25.4452i | −0.155641 | + | 0.882683i | ||||
\(832\) | 0.0190716 | + | 0.108161i | 0.000661190 | + | 0.00374979i | ||||
\(833\) | −58.1028 | + | 21.1477i | −2.01314 | + | 0.732724i | ||||
\(834\) | 16.3636 | + | 13.7307i | 0.566626 | + | 0.475456i | ||||
\(835\) | 15.8526 | 0.548602 | ||||||||
\(836\) | 5.60413 | − | 29.7956i | 0.193823 | − | 1.03050i | ||||
\(837\) | −29.1848 | −1.00878 | ||||||||
\(838\) | 0.0546310 | + | 0.0458408i | 0.00188720 | + | 0.00158354i | ||||
\(839\) | −19.6431 | + | 7.14950i | −0.678155 | + | 0.246828i | −0.658055 | − | 0.752970i | \(-0.728621\pi\) |
−0.0200999 | + | 0.999798i | \(0.506398\pi\) | |||||||
\(840\) | 3.10461 | + | 17.6071i | 0.107119 | + | 0.607503i | ||||
\(841\) | −0.317165 | + | 1.79873i | −0.0109367 | + | 0.0620252i | ||||
\(842\) | 12.0226 | + | 4.37586i | 0.414326 | + | 0.150802i | ||||
\(843\) | 16.7743 | + | 29.0539i | 0.577736 | + | 1.00067i | ||||
\(844\) | −4.72826 | + | 8.18959i | −0.162753 | + | 0.281897i | ||||
\(845\) | −8.11376 | + | 6.80825i | −0.279122 | + | 0.234211i | ||||
\(846\) | 0.474960 | − | 0.398539i | 0.0163295 | − | 0.0137020i | ||||
\(847\) | −16.1666 | + | 28.0013i | −0.555490 | + | 0.962137i | ||||
\(848\) | 1.40716 | + | 2.43728i | 0.0483222 | + | 0.0836965i | ||||
\(849\) | 37.9416 | + | 13.8096i | 1.30215 | + | 0.473945i | ||||
\(850\) | −0.699019 | + | 3.96434i | −0.0239762 | + | 0.135976i | ||||
\(851\) | −0.105489 | − | 0.598259i | −0.00361612 | − | 0.0205081i | ||||
\(852\) | −31.3572 | + | 11.4131i | −1.07428 | + | 0.391006i | ||||
\(853\) | 16.4723 | + | 13.8219i | 0.564000 | + | 0.473253i | 0.879649 | − | 0.475624i | \(-0.157778\pi\) |
−0.315648 | + | 0.948876i | \(0.602222\pi\) | |||||||
\(854\) | 15.7634 | 0.539413 | ||||||||
\(855\) | 2.30900 | − | 1.89312i | 0.0789662 | − | 0.0647435i | ||||
\(856\) | 14.2920 | 0.488492 | ||||||||
\(857\) | −38.9182 | − | 32.6562i | −1.32942 | − | 1.11552i | −0.984213 | − | 0.176990i | \(-0.943364\pi\) |
−0.345208 | − | 0.938526i | \(-0.612192\pi\) | |||||||
\(858\) | −7.70236 | + | 2.80343i | −0.262954 | + | 0.0957075i | ||||
\(859\) | −1.25062 | − | 7.09262i | −0.0426706 | − | 0.241997i | 0.956011 | − | 0.293331i | \(-0.0947638\pi\) |
−0.998682 | + | 0.0513340i | \(0.983653\pi\) | |||||||
\(860\) | −1.27007 | + | 7.20290i | −0.0433089 | + | 0.245617i | ||||
\(861\) | −0.190123 | − | 0.0691992i | −0.00647939 | − | 0.00235830i | ||||
\(862\) | −12.8285 | − | 22.2195i | −0.436939 | − | 0.756801i | ||||
\(863\) | −9.02344 | + | 15.6291i | −0.307161 | + | 0.532019i | −0.977740 | − | 0.209819i | \(-0.932712\pi\) |
0.670579 | + | 0.741838i | \(0.266046\pi\) | |||||||
\(864\) | 19.2948 | − | 16.1903i | 0.656423 | − | 0.550804i | ||||
\(865\) | −1.45639 | + | 1.22206i | −0.0495189 | + | 0.0415512i | ||||
\(866\) | −7.20529 | + | 12.4799i | −0.244846 | + | 0.424085i | ||||
\(867\) | −22.5268 | − | 39.0176i | −0.765051 | − | 1.32511i | ||||
\(868\) | 40.3640 | + | 14.6913i | 1.37004 | + | 0.498655i | ||||
\(869\) | −13.0399 | + | 73.9527i | −0.442347 | + | 2.50867i | ||||
\(870\) | −1.09955 | − | 6.23586i | −0.0372783 | − | 0.211416i | ||||
\(871\) | −14.9846 | + | 5.45393i | −0.507732 | + | 0.184799i | ||||
\(872\) | 17.2124 | + | 14.4429i | 0.582884 | + | 0.489098i | ||||
\(873\) | 2.24691 | 0.0760464 | ||||||||
\(874\) | −8.67761 | − | 3.27070i | −0.293524 | − | 0.110633i | ||||
\(875\) | 4.08895 | 0.138232 | ||||||||
\(876\) | 32.0378 | + | 26.8829i | 1.08246 | + | 0.908289i | ||||
\(877\) | 22.3078 | − | 8.11936i | 0.753280 | − | 0.274171i | 0.0632945 | − | 0.997995i | \(-0.479839\pi\) |
0.689985 | + | 0.723824i | \(0.257617\pi\) | |||||||
\(878\) | 3.59008 | + | 20.3604i | 0.121159 | + | 0.687129i | ||||
\(879\) | −3.57724 | + | 20.2876i | −0.120657 | + | 0.684282i | ||||
\(880\) | 7.18269 | + | 2.61429i | 0.242128 | + | 0.0881275i | ||||
\(881\) | −16.7038 | − | 28.9318i | −0.562765 | − | 0.974737i | −0.997254 | − | 0.0740599i | \(-0.976404\pi\) |
0.434489 | − | 0.900677i | \(-0.356929\pi\) | |||||||
\(882\) | 2.10650 | − | 3.64857i | 0.0709296 | − | 0.122854i | ||||
\(883\) | 32.5424 | − | 27.3063i | 1.09514 | − | 0.918931i | 0.0980503 | − | 0.995181i | \(-0.468739\pi\) |
0.997089 | + | 0.0762507i | \(0.0242949\pi\) | |||||||
\(884\) | −12.0970 | + | 10.1506i | −0.406866 | + | 0.341401i | ||||
\(885\) | −9.16261 | + | 15.8701i | −0.307998 | + | 0.533468i | ||||
\(886\) | −4.38998 | − | 7.60367i | −0.147484 | − | 0.255450i | ||||
\(887\) | 8.82015 | + | 3.21027i | 0.296152 | + | 0.107790i | 0.485823 | − | 0.874057i | \(-0.338520\pi\) |
−0.189671 | + | 0.981848i | \(0.560742\pi\) | |||||||
\(888\) | 0.137189 | − | 0.778035i | 0.00460375 | − | 0.0261092i | ||||
\(889\) | 3.78347 | + | 21.4571i | 0.126893 | + | 0.719648i | ||||
\(890\) | −0.301960 | + | 0.109904i | −0.0101217 | + | 0.00368401i | ||||
\(891\) | 35.2609 | + | 29.5874i | 1.18128 | + | 0.991215i | ||||
\(892\) | 46.8914 | 1.57004 | ||||||||
\(893\) | −4.73033 | − | 4.06185i | −0.158295 | − | 0.135924i | ||||
\(894\) | −13.3866 | −0.447715 | ||||||||
\(895\) | −10.9394 | − | 9.17922i | −0.365663 | − | 0.306827i | ||||
\(896\) | −43.3837 | + | 15.7904i | −1.44935 | + | 0.527519i | ||||
\(897\) | −1.73922 | − | 9.86360i | −0.0580708 | − | 0.329336i | ||||
\(898\) | 0.660111 | − | 3.74368i | 0.0220282 | − | 0.124928i | ||||
\(899\) | −32.1697 | − | 11.7088i | −1.07292 | − | 0.390511i | ||||
\(900\) | 0.547863 | + | 0.948927i | 0.0182621 | + | 0.0316309i | ||||
\(901\) | 5.09244 | − | 8.82036i | 0.169654 | − | 0.293849i | ||||
\(902\) | 0.0543303 | − | 0.0455885i | 0.00180900 | − | 0.00151793i | ||||
\(903\) | 27.4936 | − | 23.0699i | 0.914931 | − | 0.767719i | ||||
\(904\) | 5.97631 | − | 10.3513i | 0.198769 | − | 0.344278i | ||||
\(905\) | −7.19293 | − | 12.4585i | −0.239101 | − | 0.414135i | ||||
\(906\) | −2.70654 | − | 0.985100i | −0.0899188 | − | 0.0327278i | ||||
\(907\) | −1.34450 | + | 7.62501i | −0.0446432 | + | 0.253184i | −0.998959 | − | 0.0456153i | \(-0.985475\pi\) |
0.954316 | + | 0.298800i | \(0.0965863\pi\) | |||||||
\(908\) | −2.22269 | − | 12.6055i | −0.0737625 | − | 0.418328i | ||||
\(909\) | 2.24679 | − | 0.817765i | 0.0745214 | − | 0.0271236i | ||||
\(910\) | −3.07587 | − | 2.58097i | −0.101964 | − | 0.0855582i | ||||
\(911\) | −31.8865 | −1.05645 | −0.528223 | − | 0.849106i | \(-0.677142\pi\) | ||||
−0.528223 | + | 0.849106i | \(0.677142\pi\) | |||||||
\(912\) | 11.1594 | + | 9.58233i | 0.369523 | + | 0.317303i | ||||
\(913\) | 22.4224 | 0.742073 | ||||||||
\(914\) | 11.6216 | + | 9.75172i | 0.384410 | + | 0.322558i | ||||
\(915\) | 10.9898 | − | 3.99996i | 0.363312 | − | 0.132235i | ||||
\(916\) | −7.85227 | − | 44.5324i | −0.259446 | − | 1.47139i | ||||
\(917\) | −1.21602 | + | 6.89642i | −0.0401567 | + | 0.227740i | ||||
\(918\) | −16.8102 | − | 6.11843i | −0.554821 | − | 0.201938i | ||||
\(919\) | 9.68427 | + | 16.7736i | 0.319455 | + | 0.553311i | 0.980374 | − | 0.197145i | \(-0.0631670\pi\) |
−0.660920 | + | 0.750457i | \(0.729834\pi\) | |||||||
\(920\) | 3.82905 | − | 6.63211i | 0.126240 | − | 0.218654i | ||||
\(921\) | −3.98399 | + | 3.34297i | −0.131277 | + | 0.110154i | ||||
\(922\) | 17.4922 | − | 14.6777i | 0.576075 | − | 0.483384i | ||||
\(923\) | 8.43225 | − | 14.6051i | 0.277551 | − | 0.480733i | ||||
\(924\) | −27.2977 | − | 47.2810i | −0.898028 | − | 1.55543i | ||||
\(925\) | −0.169789 | − | 0.0617980i | −0.00558262 | − | 0.00203191i | ||||
\(926\) | −0.773873 | + | 4.38885i | −0.0254311 | + | 0.144227i | ||||
\(927\) | 1.02671 | + | 5.82275i | 0.0337215 | + | 0.191244i | ||||
\(928\) | 27.7636 | − | 10.1051i | 0.911386 | − | 0.331717i | ||||
\(929\) | 18.6717 | + | 15.6674i | 0.612600 | + | 0.514032i | 0.895468 | − | 0.445127i | \(-0.146841\pi\) |
−0.282868 | + | 0.959159i | \(0.591286\pi\) | |||||||
\(930\) | −7.97738 | −0.261589 | ||||||||
\(931\) | −39.6439 | − | 14.9423i | −1.29928 | − | 0.489714i | ||||
\(932\) | 10.9592 | 0.358979 | ||||||||
\(933\) | −10.6717 | − | 8.95460i | −0.349375 | − | 0.293161i | ||||
\(934\) | 23.6243 | − | 8.59853i | 0.773009 | − | 0.281352i | ||||
\(935\) | −4.80344 | − | 27.2417i | −0.157089 | − | 0.890898i | ||||
\(936\) | 0.420455 | − | 2.38452i | 0.0137430 | − | 0.0779404i | ||||
\(937\) | −17.5551 | − | 6.38953i | −0.573499 | − | 0.208737i | 0.0389573 | − | 0.999241i | \(-0.487596\pi\) |
−0.612457 | + | 0.790504i | \(0.709819\pi\) | |||||||
\(938\) | 13.2936 | + | 23.0252i | 0.434052 | + | 0.751801i | ||||
\(939\) | 8.33030 | − | 14.4285i | 0.271849 | − | 0.470856i | ||||
\(940\) | 1.75274 | − | 1.47073i | 0.0571682 | − | 0.0479698i | ||||
\(941\) | −17.9348 | + | 15.0491i | −0.584659 | + | 0.490587i | −0.886473 | − | 0.462779i | \(-0.846852\pi\) |
0.301814 | + | 0.953367i | \(0.402408\pi\) | |||||||
\(942\) | −1.96260 | + | 3.39932i | −0.0639449 | + | 0.110756i | ||||
\(943\) | 0.0433315 | + | 0.0750524i | 0.00141107 | + | 0.00244404i | ||||
\(944\) | −15.7689 | − | 5.73940i | −0.513233 | − | 0.186802i | ||||
\(945\) | −3.15538 | + | 17.8950i | −0.102644 | + | 0.582126i | ||||
\(946\) | 2.18468 | + | 12.3899i | 0.0710299 | + | 0.402831i | ||||
\(947\) | −37.3038 | + | 13.5775i | −1.21221 | + | 0.441208i | −0.867470 | − | 0.497490i | \(-0.834255\pi\) |
−0.344740 | + | 0.938698i | \(0.612033\pi\) | |||||||
\(948\) | −40.6226 | − | 34.0864i | −1.31936 | − | 1.10708i | ||||
\(949\) | −21.1364 | −0.686117 | ||||||||
\(950\) | −2.13296 | + | 1.74879i | −0.0692025 | + | 0.0567383i | ||||
\(951\) | −61.2892 | −1.98744 | ||||||||
\(952\) | 45.3877 | + | 38.0848i | 1.47102 | + | 1.23433i | ||||
\(953\) | 46.8875 | − | 17.0657i | 1.51884 | − | 0.552811i | 0.557978 | − | 0.829856i | \(-0.311577\pi\) |
0.960857 | + | 0.277045i | \(0.0893550\pi\) | |||||||
\(954\) | 0.120506 | + | 0.683421i | 0.00390151 | + | 0.0221266i | ||||
\(955\) | 4.19866 | − | 23.8118i | 0.135865 | − | 0.770531i | ||||
\(956\) | −20.1320 | − | 7.32746i | −0.651116 | − | 0.236987i | ||||
\(957\) | 21.7560 | + | 37.6824i | 0.703271 | + | 1.21810i | ||||
\(958\) | −11.4860 | + | 19.8944i | −0.371097 | + | 0.642758i | ||||
\(959\) | 17.9975 | − | 15.1017i | 0.581170 | − | 0.487660i | ||||
\(960\) | 0.104074 | − | 0.0873282i | 0.00335896 | − | 0.00281851i | ||||
\(961\) | −6.06485 | + | 10.5046i | −0.195640 | + | 0.338859i | ||||
\(962\) | 0.0887147 | + | 0.153658i | 0.00286028 | + | 0.00495414i | ||||
\(963\) | −4.03895 | − | 1.47006i | −0.130153 | − | 0.0473719i | ||||
\(964\) | 7.12582 | − | 40.4125i | 0.229507 | − | 1.30160i | ||||
\(965\) | −0.888002 | − | 5.03611i | −0.0285858 | − | 0.162118i | ||||
\(966\) | −15.6922 | + | 5.71151i | −0.504890 | + | 0.183765i | ||||
\(967\) | −41.2501 | − | 34.6130i | −1.32651 | − | 1.11308i | −0.984879 | − | 0.173246i | \(-0.944575\pi\) |
−0.341636 | − | 0.939832i | \(-0.610981\pi\) | |||||||
\(968\) | 18.0112 | 0.578901 | ||||||||
\(969\) | 9.83939 | − | 52.3134i | 0.316087 | − | 1.68055i | ||||
\(970\) | −2.07561 | −0.0666437 | ||||||||
\(971\) | −18.3652 | − | 15.4102i | −0.589367 | − | 0.494537i | 0.298641 | − | 0.954365i | \(-0.403467\pi\) |
−0.888008 | + | 0.459828i | \(0.847911\pi\) | |||||||
\(972\) | −10.5053 | + | 3.82363i | −0.336959 | + | 0.122643i | ||||
\(973\) | −12.4864 | − | 70.8136i | −0.400294 | − | 2.27018i | ||||
\(974\) | 0.278553 | − | 1.57975i | 0.00892542 | − | 0.0506186i | ||||
\(975\) | −2.79933 | − | 1.01887i | −0.0896504 | − | 0.0326301i | ||||
\(976\) | 5.35476 | + | 9.27472i | 0.171402 | + | 0.296876i | ||||
\(977\) | 26.3233 | − | 45.5933i | 0.842157 | − | 1.45866i | −0.0459104 | − | 0.998946i | \(-0.514619\pi\) |
0.888067 | − | 0.459713i | \(-0.152048\pi\) | |||||||
\(978\) | −6.12445 | + | 5.13903i | −0.195838 | + | 0.164328i | ||||
\(979\) | 1.69153 | − | 1.41937i | 0.0540617 | − | 0.0453631i | ||||
\(980\) | 7.77362 | − | 13.4643i | 0.248319 | − | 0.430102i | ||||
\(981\) | −3.37866 | − | 5.85201i | −0.107872 | − | 0.186840i | ||||
\(982\) | −21.5932 | − | 7.85927i | −0.689065 | − | 0.250799i | ||||
\(983\) | −7.12467 | + | 40.4060i | −0.227242 | + | 1.28875i | 0.631112 | + | 0.775692i | \(0.282599\pi\) |
−0.858353 | + | 0.513059i | \(0.828512\pi\) | |||||||
\(984\) | 0.0195710 | + | 0.110993i | 0.000623902 | + | 0.00353832i | ||||
\(985\) | −0.0604093 | + | 0.0219872i | −0.00192480 | + | 0.000700570i | ||||
\(986\) | −16.0748 | − | 13.4884i | −0.511926 | − | 0.429557i | ||||
\(987\) | −11.2276 | −0.357379 | ||||||||
\(988\) | −10.8195 | − | 0.123138i | −0.344214 | − | 0.00391753i | ||||
\(989\) | −15.3731 | −0.488837 | ||||||||
\(990\) | 1.44383 | + | 1.21152i | 0.0458880 | + | 0.0385046i | ||||
\(991\) | −26.7308 | + | 9.72922i | −0.849133 | + | 0.309059i | −0.729687 | − | 0.683782i | \(-0.760334\pi\) |
−0.119446 | + | 0.992841i | \(0.538112\pi\) | |||||||
\(992\) | −6.46362 | − | 36.6570i | −0.205220 | − | 1.16386i | ||||
\(993\) | 8.10017 | − | 45.9383i | 0.257051 | − | 1.45781i | ||||
\(994\) | −26.4226 | − | 9.61703i | −0.838073 | − | 0.305034i | ||||
\(995\) | 3.18999 | + | 5.52523i | 0.101130 | + | 0.175162i | ||||
\(996\) | −7.91705 | + | 13.7127i | −0.250861 | + | 0.434504i | ||||
\(997\) | −26.9547 | + | 22.6177i | −0.853664 | + | 0.716309i | −0.960593 | − | 0.277957i | \(-0.910343\pi\) |
0.106929 | + | 0.994267i | \(0.465898\pi\) | |||||||
\(998\) | 8.68620 | − | 7.28859i | 0.274957 | − | 0.230716i | ||||
\(999\) | 0.401478 | − | 0.695381i | 0.0127022 | − | 0.0220009i |
(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 | 95.2.k.a.16.1 | yes | 18 | |
3.2 | odd | 2 | 855.2.bs.c.586.3 | 18 | |||
5.2 | odd | 4 | 475.2.u.b.149.4 | 36 | |||
5.3 | odd | 4 | 475.2.u.b.149.3 | 36 | |||
5.4 | even | 2 | 475.2.l.c.301.3 | 18 | |||
19.5 | even | 9 | 1805.2.a.v.1.2 | 9 | |||
19.6 | even | 9 | inner | 95.2.k.a.6.1 | ✓ | 18 | |
19.14 | odd | 18 | 1805.2.a.s.1.8 | 9 | |||
57.44 | odd | 18 | 855.2.bs.c.766.3 | 18 | |||
95.14 | odd | 18 | 9025.2.a.cf.1.2 | 9 | |||
95.24 | even | 18 | 9025.2.a.cc.1.8 | 9 | |||
95.44 | even | 18 | 475.2.l.c.101.3 | 18 | |||
95.63 | odd | 36 | 475.2.u.b.424.4 | 36 | |||
95.82 | odd | 36 | 475.2.u.b.424.3 | 36 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
95.2.k.a.6.1 | ✓ | 18 | 19.6 | even | 9 | inner | |
95.2.k.a.16.1 | yes | 18 | 1.1 | even | 1 | trivial | |
475.2.l.c.101.3 | 18 | 95.44 | even | 18 | |||
475.2.l.c.301.3 | 18 | 5.4 | even | 2 | |||
475.2.u.b.149.3 | 36 | 5.3 | odd | 4 | |||
475.2.u.b.149.4 | 36 | 5.2 | odd | 4 | |||
475.2.u.b.424.3 | 36 | 95.82 | odd | 36 | |||
475.2.u.b.424.4 | 36 | 95.63 | odd | 36 | |||
855.2.bs.c.586.3 | 18 | 3.2 | odd | 2 | |||
855.2.bs.c.766.3 | 18 | 57.44 | odd | 18 | |||
1805.2.a.s.1.8 | 9 | 19.14 | odd | 18 | |||
1805.2.a.v.1.2 | 9 | 19.5 | even | 9 | |||
9025.2.a.cc.1.8 | 9 | 95.24 | even | 18 | |||
9025.2.a.cf.1.2 | 9 | 95.14 | odd | 18 |