Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [855,2,Mod(226,855)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(855, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 0, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("855.226");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 855 = 3^{2} \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 855.bs (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: | \(6.82720937282\) |
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: | \( x^{18} - 3 x^{17} + 15 x^{16} - 14 x^{15} + 72 x^{14} - 51 x^{13} + 231 x^{12} - 93 x^{11} + 438 x^{10} - 156 x^{9} + 582 x^{8} - 138 x^{7} + 437 x^{6} - 132 x^{5} + 198 x^{4} - 16 x^{3} + \cdots + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{4}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 95) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 586.3 | ||
Root | \(0.816390 + 1.41403i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 855.586 |
Dual form | 855.2.bs.c.766.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/855\mathbb{Z}\right)^\times\).
\(n\) | \(172\) | \(191\) | \(496\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{2}{9}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.484738 | + | 0.406743i | 0.342761 | + | 0.287611i | 0.797876 | − | 0.602822i | \(-0.205957\pi\) |
−0.455114 | + | 0.890433i | \(0.650402\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.277766 | − | 1.57529i | −0.138883 | − | 0.787644i | ||||
\(5\) | −0.173648 | + | 0.984808i | −0.0776578 | + | 0.440419i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −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 | 0 | ||||||||
\(10\) | −0.484738 | + | 0.406743i | −0.153288 | + | 0.128624i | ||||
\(11\) | −2.17413 | + | 3.76571i | −0.655526 | + | 1.13540i | 0.326235 | + | 0.945289i | \(0.394220\pi\) |
−0.981762 | + | 0.190116i | \(0.939114\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −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 | 0 | ||||||||
\(16\) | −1.65185 | + | 0.601224i | −0.412963 | + | 0.150306i | ||||
\(17\) | −4.87326 | − | 4.08915i | −1.18194 | − | 0.991765i | −0.999964 | − | 0.00846250i | \(-0.997306\pi\) |
−0.181976 | − | 0.983303i | \(-0.558249\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 0.708014 | + | 4.30101i | 0.162429 | + | 0.986720i | ||||
\(20\) | 1.59959 | 0.357679 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −2.58556 | + | 0.941068i | −0.551244 | + | 0.200636i | ||||
\(23\) | 0.583829 | + | 3.31106i | 0.121737 | + | 0.690403i | 0.983193 | + | 0.182571i | \(0.0584419\pi\) |
−0.861456 | + | 0.507832i | \(0.830447\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.939693 | − | 0.342020i | −0.187939 | − | 0.0684040i | ||||
\(26\) | −0.490990 | − | 0.850420i | −0.0962911 | − | 0.166781i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −5.01042 | + | 4.20424i | −0.946881 | + | 0.794527i | ||||
\(29\) | −3.99325 | + | 3.35074i | −0.741529 | + | 0.622216i | −0.933248 | − | 0.359233i | \(-0.883038\pi\) |
0.191719 | + | 0.981450i | \(0.438594\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −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 | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −0.699019 | − | 3.96434i | −0.119881 | − | 0.679878i | ||||
\(35\) | 3.84236 | − | 1.39850i | 0.649477 | − | 0.236390i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 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 | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 1.74486 | + | 1.46411i | 0.275886 | + | 0.231496i | ||||
\(41\) | 0.0242217 | − | 0.00881597i | 0.00378279 | − | 0.00137682i | −0.340128 | − | 0.940379i | \(-0.610470\pi\) |
0.343911 | + | 0.939002i | \(0.388248\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 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 | 0 | ||||||||
\(46\) | −1.06375 | + | 1.84246i | −0.156841 | + | 0.271656i | ||||
\(47\) | 1.09575 | − | 0.919441i | 0.159831 | − | 0.134114i | −0.559365 | − | 0.828922i | \(-0.688955\pi\) |
0.719196 | + | 0.694807i | \(0.244510\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −4.85976 | + | 8.41736i | −0.694252 | + | 1.20248i | ||||
\(50\) | −0.316390 | − | 0.548004i | −0.0447443 | − | 0.0774995i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −0.431051 | + | 2.44461i | −0.0597760 | + | 0.339006i | ||||
\(53\) | 0.278010 | + | 1.57667i | 0.0381876 | + | 0.216573i | 0.997930 | − | 0.0643090i | \(-0.0204843\pi\) |
−0.959742 | + | 0.280882i | \(0.909373\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −3.33097 | − | 2.79501i | −0.449148 | − | 0.376880i | ||||
\(56\) | −9.31361 | −1.24458 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −3.29857 | −0.433124 | ||||||||
\(59\) | −7.31281 | − | 6.13617i | −0.952046 | − | 0.798862i | 0.0275947 | − | 0.999619i | \(-0.491215\pi\) |
−0.979641 | + | 0.200758i | \(0.935660\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −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 | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −0.0353865 | − | 0.0612913i | −0.00442332 | − | 0.00766141i | ||||
\(65\) | 0.775925 | − | 1.34394i | 0.0962416 | − | 0.166695i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 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 | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 2.43137 | + | 0.884946i | 0.290604 | + | 0.105771i | ||||
\(71\) | 1.88710 | − | 10.7023i | 0.223957 | − | 1.27012i | −0.640711 | − | 0.767782i | \(-0.721360\pi\) |
0.864669 | − | 0.502343i | \(-0.167528\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 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 | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 6.57867 | − | 2.31000i | 0.754625 | − | 0.264975i | ||||
\(77\) | 17.7799 | 2.02620 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −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 | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 0.0153270 | + | 0.00557858i | 0.00169259 | + | 0.000616051i | ||||
\(83\) | −2.57831 | − | 4.46577i | −0.283007 | − | 0.490182i | 0.689117 | − | 0.724650i | \(-0.257999\pi\) |
−0.972124 | + | 0.234468i | \(0.924665\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 4.87326 | − | 4.08915i | 0.528580 | − | 0.443531i | ||||
\(86\) | 2.21643 | − | 1.85981i | 0.239004 | − | 0.200548i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 4.95213 | + | 8.57735i | 0.527899 | + | 0.914348i | ||||
\(89\) | −0.477195 | − | 0.173685i | −0.0505826 | − | 0.0184106i | 0.316605 | − | 0.948557i | \(-0.397457\pi\) |
−0.367188 | + | 0.930147i | \(0.619679\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 1.10187 | + | 6.24904i | 0.115508 | + | 0.655077i | ||||
\(92\) | 5.05370 | − | 1.83940i | 0.526885 | − | 0.191770i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 0.905127 | 0.0933567 | ||||||||
\(95\) | −4.35862 | − | 0.0496059i | −0.447185 | − | 0.00508946i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 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 | 0 | ||||||||
\(100\) | −0.277766 | + | 1.57529i | −0.0277766 | + | 0.157529i | ||||
\(101\) | −3.27996 | − | 1.19381i | −0.326369 | − | 0.118788i | 0.173639 | − | 0.984809i | \(-0.444447\pi\) |
−0.500008 | + | 0.866021i | \(0.666670\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −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 | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −0.506539 | + | 0.877351i | −0.0491994 | + | 0.0852159i | ||||
\(107\) | 3.13732 | + | 5.43399i | 0.303296 | + | 0.525324i | 0.976880 | − | 0.213786i | \(-0.0685796\pi\) |
−0.673584 | + | 0.739110i | \(0.735246\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 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 | 0 | ||||||||
\(112\) | 5.50619 | + | 4.62024i | 0.520286 | + | 0.436571i | ||||
\(113\) | 5.24756 | 0.493649 | 0.246825 | − | 0.969060i | \(-0.420613\pi\) | ||||
0.246825 | + | 0.969060i | \(0.420613\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −3.36213 | −0.313521 | ||||||||
\(116\) | 6.38756 | + | 5.35980i | 0.593071 | + | 0.497645i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −1.04895 | − | 5.94887i | −0.0965634 | − | 0.547638i | ||||
\(119\) | −4.51698 | + | 25.6171i | −0.414071 | + | 2.34831i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −3.95372 | − | 6.84804i | −0.359429 | − | 0.622550i | ||||
\(122\) | 1.92756 | − | 3.33863i | 0.174513 | − | 0.302266i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −8.04731 | + | 6.75249i | −0.722669 | + | 0.606392i | ||||
\(125\) | 0.500000 | − | 0.866025i | 0.0447214 | − | 0.0774597i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −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 | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0.922760 | − | 0.335857i | 0.0809314 | − | 0.0294566i | ||||
\(131\) | 1.31194 | + | 1.10085i | 0.114625 | + | 0.0961816i | 0.698298 | − | 0.715807i | \(-0.253941\pi\) |
−0.583674 | + | 0.811988i | \(0.698385\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 13.7830 | − | 11.3005i | 1.19513 | − | 0.979877i | ||||
\(134\) | 6.50222 | 0.561706 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −13.6163 | + | 4.95591i | −1.16758 | + | 0.424966i | ||||
\(137\) | −0.997739 | − | 5.65846i | −0.0852426 | − | 0.483435i | −0.997304 | − | 0.0733811i | \(-0.976621\pi\) |
0.912061 | − | 0.410054i | \(-0.134490\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 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 | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 5.26782 | − | 4.42023i | 0.442066 | − | 0.370937i | ||||
\(143\) | 5.16916 | − | 4.33744i | 0.432267 | − | 0.362715i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −2.60641 | − | 4.51444i | −0.216451 | − | 0.374904i | ||||
\(146\) | 8.09879 | + | 2.94772i | 0.670261 | + | 0.243955i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −0.0501882 | − | 0.284631i | −0.00412544 | − | 0.0233966i | ||||
\(149\) | 10.3558 | − | 3.76921i | 0.848381 | − | 0.308785i | 0.119001 | − | 0.992894i | \(-0.462031\pi\) |
0.729380 | + | 0.684109i | \(0.239809\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −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 | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 8.61857 | + | 7.23184i | 0.694504 | + | 0.582758i | ||||
\(155\) | 6.17126 | − | 2.24616i | 0.495688 | − | 0.180416i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −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 | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 2.83392 | − | 4.90849i | 0.224041 | − | 0.388050i | ||||
\(161\) | 10.5313 | − | 8.83679i | 0.829981 | − | 0.696437i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −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 | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 0.566616 | − | 3.21344i | 0.0439780 | − | 0.249411i | ||||
\(167\) | −2.75277 | − | 15.6118i | −0.213016 | − | 1.20807i | −0.884316 | − | 0.466888i | \(-0.845375\pi\) |
0.671300 | − | 0.741185i | \(-0.265736\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −8.11376 | − | 6.80825i | −0.624135 | − | 0.523712i | ||||
\(170\) | 4.02549 | 0.308741 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −7.31401 | −0.557688 | ||||||||
\(173\) | 1.45639 | + | 1.22206i | 0.110728 | + | 0.0929114i | 0.696470 | − | 0.717585i | \(-0.254753\pi\) |
−0.585743 | + | 0.810497i | \(0.699197\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0.710039 | + | 4.02683i | 0.0536739 | + | 0.304400i | ||||
\(176\) | 1.32731 | − | 7.52753i | 0.100050 | − | 0.567409i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −0.160670 | − | 0.278288i | −0.0120427 | − | 0.0208586i | ||||
\(179\) | −7.14016 | + | 12.3671i | −0.533681 | + | 0.924362i | 0.465545 | + | 0.885024i | \(0.345858\pi\) |
−0.999226 | + | 0.0393383i | \(0.987475\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 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 | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 7.19626 | + | 2.61922i | 0.530515 | + | 0.193092i | ||||
\(185\) | −0.0313757 | + | 0.177940i | −0.00230679 | + | 0.0130824i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 25.9937 | − | 9.46093i | 1.90085 | − | 0.691852i | ||||
\(188\) | −1.75274 | − | 1.47073i | −0.127832 | − | 0.107264i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −2.09261 | − | 1.79688i | −0.151814 | − | 0.130360i | ||||
\(191\) | −24.1791 | −1.74954 | −0.874769 | − | 0.484540i | \(-0.838987\pi\) | ||||
−0.874769 | + | 0.484540i | \(0.838987\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 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 | 0 | ||||||||
\(196\) | 14.6096 | + | 5.31747i | 1.04355 | + | 0.379819i | ||||
\(197\) | 0.0321431 | + | 0.0556735i | 0.00229010 | + | 0.00396658i | 0.867168 | − | 0.498015i | \(-0.165938\pi\) |
−0.864878 | + | 0.501982i | \(0.832604\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −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 | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −1.10435 | − | 1.91279i | −0.0777017 | − | 0.134583i | ||||
\(203\) | 20.0295 | + | 7.29015i | 1.40580 | + | 0.511668i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 0.00447599 | + | 0.0253846i | 0.000312617 | + | 0.00177294i | ||||
\(206\) | −5.13241 | + | 1.86805i | −0.357592 | + | 0.130153i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 2.72794 | 0.189149 | ||||||||
\(209\) | −17.7357 | − | 6.68481i | −1.22680 | − | 0.462398i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −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 | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −0.689464 | + | 3.91015i | −0.0471308 | + | 0.267292i | ||||
\(215\) | 4.29668 | + | 1.56386i | 0.293031 | + | 0.106655i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −13.4267 | + | 23.2558i | −0.911466 | + | 1.57870i | ||||
\(218\) | 4.78176 | − | 4.01237i | 0.323862 | − | 0.271752i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −3.47772 | + | 6.02359i | −0.234468 | + | 0.406110i | ||||
\(221\) | 4.93612 | + | 8.54961i | 0.332039 | + | 0.575109i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −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 | 0 | ||||||||
\(226\) | 2.54369 | + | 2.13441i | 0.169204 | + | 0.141979i | ||||
\(227\) | −8.00202 | −0.531113 | −0.265557 | − | 0.964095i | \(-0.585556\pi\) | ||||
−0.265557 | + | 0.964095i | \(0.585556\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 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 | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 2.06181 | + | 11.6931i | 0.135365 | + | 0.767691i | ||||
\(233\) | 1.18970 | − | 6.74715i | 0.0779401 | − | 0.442020i | −0.920718 | − | 0.390229i | \(-0.872396\pi\) |
0.998658 | − | 0.0517912i | \(-0.0164930\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 0.715198 | + | 1.23876i | 0.0466544 | + | 0.0808078i | ||||
\(236\) | −7.63499 | + | 13.2242i | −0.496996 | + | 0.860821i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −12.6091 | + | 10.5803i | −0.817328 | + | 0.685820i | ||||
\(239\) | −6.69674 | + | 11.5991i | −0.433176 | + | 0.750283i | −0.997145 | − | 0.0755132i | \(-0.975941\pi\) |
0.563969 | + | 0.825796i | \(0.309274\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 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 | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −9.15755 | + | 3.33308i | −0.586252 | + | 0.213378i | ||||
\(245\) | −7.44559 | − | 6.24759i | −0.475681 | − | 0.399144i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 1.25035 | − | 6.64779i | 0.0795581 | − | 0.422989i | ||||
\(248\) | −14.9587 | −0.949879 | ||||||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 0.594619 | − | 0.216424i | 0.0376070 | − | 0.0136878i | ||||
\(251\) | 1.58376 | + | 8.98194i | 0.0999660 | + | 0.566935i | 0.993112 | + | 0.117168i | \(0.0373817\pi\) |
−0.893146 | + | 0.449767i | \(0.851507\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −13.7378 | − | 5.00015i | −0.863688 | − | 0.314357i | ||||
\(254\) | −1.68590 | − | 2.92006i | −0.105783 | − | 0.183221i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −5.58156 | + | 4.68348i | −0.348847 | + | 0.292718i | ||||
\(257\) | 18.9570 | − | 15.9068i | 1.18250 | − | 0.992237i | 0.182543 | − | 0.983198i | \(-0.441567\pi\) |
0.999959 | − | 0.00903962i | \(-0.00287744\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −0.369407 | − | 0.639831i | −0.0229538 | − | 0.0397572i | ||||
\(260\) | −2.33262 | − | 0.849004i | −0.144663 | − | 0.0526530i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 0.188184 | + | 1.06725i | 0.0116261 | + | 0.0659347i | ||||
\(263\) | −13.7492 | + | 5.00428i | −0.847809 | + | 0.308577i | −0.729147 | − | 0.684357i | \(-0.760083\pi\) |
−0.118662 | + | 0.992935i | \(0.537861\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −1.60099 | −0.0983483 | ||||||||
\(266\) | 11.2775 | + | 0.128351i | 0.691469 | + | 0.00786969i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −12.5913 | − | 10.5654i | −0.769136 | − | 0.645382i | ||||
\(269\) | 16.1661 | − | 5.88396i | 0.985662 | − | 0.358752i | 0.201623 | − | 0.979463i | \(-0.435378\pi\) |
0.784039 | + | 0.620712i | \(0.213156\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 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 | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 1.81790 | − | 3.14869i | 0.109823 | − | 0.190220i | ||||
\(275\) | 3.33097 | − | 2.79501i | 0.200865 | − | 0.168546i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 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 | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 1.61729 | − | 9.17211i | 0.0966516 | − | 0.548139i | ||||
\(281\) | 3.03476 | + | 17.2110i | 0.181039 | + | 1.02672i | 0.930940 | + | 0.365172i | \(0.118990\pi\) |
−0.749901 | + | 0.661550i | \(0.769899\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −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 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 4.26991 | 0.252485 | ||||||||
\(287\) | −0.0807392 | − | 0.0677483i | −0.00476589 | − | 0.00399905i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 4.07550 | + | 23.1133i | 0.239735 | + | 1.35961i | ||||
\(290\) | 0.572791 | − | 3.24846i | 0.0336354 | − | 0.190756i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −10.8933 | − | 18.8678i | −0.637483 | − | 1.10415i | ||||
\(293\) | −5.36574 | + | 9.29373i | −0.313470 | + | 0.542945i | −0.979111 | − | 0.203326i | \(-0.934825\pi\) |
0.665641 | + | 0.746272i | \(0.268158\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 7.31281 | − | 6.13617i | 0.425768 | − | 0.357262i | ||||
\(296\) | 0.205778 | − | 0.356418i | 0.0119606 | − | 0.0207164i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 6.55295 | + | 2.38508i | 0.379602 | + | 0.138164i | ||||
\(299\) | 0.906014 | − | 5.13826i | 0.0523962 | − | 0.297153i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −17.5689 | + | 6.39457i | −1.01266 | + | 0.368577i | ||||
\(302\) | −1.14938 | − | 0.964444i | −0.0661394 | − | 0.0554975i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −3.75541 | − | 6.67896i | −0.215387 | − | 0.383064i | ||||
\(305\) | 6.09235 | 0.348847 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 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 | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 3.90505 | + | 1.42132i | 0.221792 | + | 0.0807257i | ||||
\(311\) | −3.62852 | − | 6.28478i | −0.205755 | − | 0.356377i | 0.744618 | − | 0.667491i | \(-0.232632\pi\) |
−0.950373 | + | 0.311113i | \(0.899298\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −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 | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 13.8123 | + | 23.9235i | 0.777000 | + | 1.34580i | ||||
\(317\) | −30.0020 | − | 10.9198i | −1.68508 | − | 0.613319i | −0.691089 | − | 0.722770i | \(-0.742869\pi\) |
−0.993992 | + | 0.109451i | \(0.965091\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −3.93604 | − | 22.3224i | −0.220376 | − | 1.24981i | ||||
\(320\) | 0.0665049 | − | 0.0242058i | 0.00371774 | − | 0.00135315i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 8.69922 | 0.484788 | ||||||||
\(323\) | 14.1372 | − | 23.8551i | 0.786613 | − | 1.32734i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 1.18879 | + | 0.997510i | 0.0659420 | + | 0.0553319i | ||||
\(326\) | −3.91363 | + | 1.42445i | −0.216756 | + | 0.0788928i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 0.0101952 | − | 0.0578197i | 0.000562935 | − | 0.00319256i | ||||
\(329\) | −5.49609 | − | 2.00041i | −0.303009 | − | 0.110286i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −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 | 0 | ||||||||
\(334\) | 5.01560 | − | 8.68728i | 0.274442 | − | 0.475347i | ||||
\(335\) | 5.13781 | + | 8.89896i | 0.280709 | + | 0.486202i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 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 | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −7.79522 | − | 6.54097i | −0.422755 | − | 0.354734i | ||||
\(341\) | 28.5565 | 1.54642 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 11.1200 | 0.600424 | ||||||||
\(344\) | −7.97824 | − | 6.69454i | −0.430158 | − | 0.360945i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 0.208905 | + | 1.18476i | 0.0112308 | + | 0.0636929i | ||||
\(347\) | 5.40071 | − | 30.6289i | 0.289925 | − | 1.64425i | −0.397217 | − | 0.917725i | \(-0.630024\pi\) |
0.687142 | − | 0.726523i | \(-0.258865\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −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 | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 18.8794 | − | 15.8417i | 1.00627 | − | 0.844365i | ||||
\(353\) | −4.41270 | + | 7.64303i | −0.234865 | + | 0.406797i | −0.959233 | − | 0.282615i | \(-0.908798\pi\) |
0.724369 | + | 0.689413i | \(0.242131\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 10.2120 | + | 3.71686i | 0.541996 | + | 0.197270i | ||||
\(356\) | −0.141055 | + | 0.799964i | −0.00747591 | + | 0.0423980i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −8.49136 | + | 3.09060i | −0.448782 | + | 0.163343i | ||||
\(359\) | −15.2610 | − | 12.8055i | −0.805443 | − | 0.675847i | 0.144073 | − | 0.989567i | \(-0.453980\pi\) |
−0.949515 | + | 0.313720i | \(0.898425\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −17.9974 | + | 6.09035i | −0.947233 | + | 0.320545i | ||||
\(362\) | 9.10309 | 0.478448 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 9.53797 | − | 3.47154i | 0.499925 | − | 0.181958i | ||||
\(365\) | 2.36511 | + | 13.4132i | 0.123796 | + | 0.702080i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −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 | 0 | ||||||||
\(370\) | −0.0875850 | + | 0.0734926i | −0.00455333 | + | 0.00382070i | ||||
\(371\) | 5.01483 | − | 4.20794i | 0.260357 | − | 0.218465i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 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 | 0 | ||||||||
\(376\) | −0.565760 | − | 3.20859i | −0.0291769 | − | 0.165470i | ||||
\(377\) | 7.60166 | − | 2.76678i | 0.391505 | − | 0.142496i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 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 | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −11.7205 | − | 9.83469i | −0.599674 | − | 0.503186i | ||||
\(383\) | 0.492206 | − | 0.179148i | 0.0251505 | − | 0.00915404i | −0.329414 | − | 0.944185i | \(-0.606851\pi\) |
0.354565 | + | 0.935031i | \(0.384629\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −3.08744 | + | 17.5097i | −0.157351 | + | 0.892379i | ||||
\(386\) | 3.04076 | + | 1.10675i | 0.154771 | + | 0.0563319i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 2.62343 | − | 4.54392i | 0.133185 | − | 0.230683i | ||||
\(389\) | 1.91233 | − | 1.60464i | 0.0969590 | − | 0.0813583i | −0.593020 | − | 0.805188i | \(-0.702064\pi\) |
0.689979 | + | 0.723830i | \(0.257620\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 10.6943 | − | 18.5230i | 0.540832 | − | 0.936749i | ||||
\(392\) | 11.0693 | + | 19.1726i | 0.559085 | + | 0.968364i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −0.00706385 | + | 0.0400611i | −0.000355872 | + | 0.00201825i | ||||
\(395\) | −2.99886 | − | 17.0074i | −0.150889 | − | 0.855735i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −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 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 1.75786 | 0.0878931 | ||||||||
\(401\) | 13.2096 | + | 11.0842i | 0.659658 | + | 0.553519i | 0.909984 | − | 0.414643i | \(-0.136093\pi\) |
−0.250326 | + | 0.968162i | \(0.580538\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 1.76973 | + | 10.0367i | 0.0881567 | + | 0.499962i | ||||
\(404\) | −0.969531 | + | 5.49848i | −0.0482360 | + | 0.273560i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 6.74385 | + | 11.6807i | 0.334692 | + | 0.579703i | ||||
\(407\) | −0.392834 | + | 0.680409i | −0.0194721 | + | 0.0337266i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −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 | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 12.9741 | + | 4.72218i | 0.639188 | + | 0.232645i | ||||
\(413\) | −6.77817 | + | 38.4409i | −0.333532 | + | 1.89155i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 4.84565 | − | 1.76367i | 0.237863 | − | 0.0865752i | ||||
\(416\) | 6.73785 | + | 5.65373i | 0.330350 | + | 0.277197i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −5.87816 | − | 10.4543i | −0.287510 | − | 0.511334i | ||||
\(419\) | 0.112702 | 0.00550586 | 0.00275293 | − | 0.999996i | \(-0.499124\pi\) | ||||
0.00275293 | + | 0.999996i | \(0.499124\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −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 | 0 | ||||||||
\(424\) | 3.42674 | + | 1.24723i | 0.166417 | + | 0.0605710i | ||||
\(425\) | 3.18080 | + | 5.50930i | 0.154291 | + | 0.267240i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −19.0832 | + | 16.0127i | −0.923500 | + | 0.774909i | ||||
\(428\) | 7.68866 | − | 6.45156i | 0.371646 | − | 0.311848i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 1.44667 | + | 2.50571i | 0.0697648 | + | 0.120836i | ||||
\(431\) | −38.1011 | − | 13.8677i | −1.83526 | − | 0.667982i | −0.991306 | − | 0.131573i | \(-0.957997\pi\) |
−0.843958 | − | 0.536409i | \(-0.819781\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −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 | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −15.7794 | −0.755694 | ||||||||
\(437\) | −13.8275 | + | 4.85533i | −0.661461 | + | 0.232262i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −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 | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −1.08477 | + | 6.15205i | −0.0515974 | + | 0.292623i | ||||
\(443\) | −13.0384 | − | 4.74560i | −0.619475 | − | 0.225470i | 0.0131689 | − | 0.999913i | \(-0.495808\pi\) |
−0.632644 | + | 0.774443i | \(0.718030\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 0.253910 | − | 0.439786i | 0.0120365 | − | 0.0208478i | ||||
\(446\) | −14.2099 | + | 11.9235i | −0.672859 | + | 0.564596i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −0.144694 | + | 0.250617i | −0.00683614 | + | 0.0118405i | ||||
\(449\) | −3.00375 | − | 5.20265i | −0.141756 | − | 0.245528i | 0.786402 | − | 0.617715i | \(-0.211941\pi\) |
−0.928158 | + | 0.372187i | \(0.878608\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −0.0194628 | + | 0.110379i | −0.000916467 | + | 0.00519754i | ||||
\(452\) | −1.45759 | − | 8.26642i | −0.0685594 | − | 0.388820i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −3.87889 | − | 3.25477i | −0.182045 | − | 0.152754i | ||||
\(455\) | −6.34544 | −0.297479 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −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 | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 0.933886 | + | 5.29633i | 0.0435426 | + | 0.246943i | ||||
\(461\) | 6.26625 | − | 35.5376i | 0.291848 | − | 1.65515i | −0.387896 | − | 0.921703i | \(-0.626798\pi\) |
0.679744 | − | 0.733450i | \(-0.262091\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −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 | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 3.32105 | − | 2.78669i | 0.153845 | − | 0.129091i | ||||
\(467\) | 19.8650 | − | 34.4072i | 0.919244 | − | 1.59218i | 0.118678 | − | 0.992933i | \(-0.462134\pi\) |
0.800566 | − | 0.599245i | \(-0.204532\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −39.4826 | − | 14.3705i | −1.82314 | − | 0.663568i | ||||
\(470\) | −0.157174 | + | 0.891376i | −0.00724988 | + | 0.0411161i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −20.4325 | + | 7.43683i | −0.940483 | + | 0.342308i | ||||
\(473\) | 15.2306 | + | 12.7800i | 0.700305 | + | 0.587626i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 0.805718 | − | 4.28379i | 0.0369689 | − | 0.196554i | ||||
\(476\) | 41.6089 | 1.90714 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −7.96402 | + | 2.89867i | −0.364266 | + | 0.132582i | ||||
\(479\) | 6.30401 | + | 35.7518i | 0.288038 | + | 1.63354i | 0.694229 | + | 0.719754i | \(0.255745\pi\) |
−0.406192 | + | 0.913788i | \(0.633143\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −0.263486 | − | 0.0959012i | −0.0120139 | − | 0.00437272i | ||||
\(482\) | 8.11670 | + | 14.0585i | 0.369705 | + | 0.640349i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −9.68943 | + | 8.13040i | −0.440429 | + | 0.369564i | ||||
\(485\) | −2.51273 | + | 2.10843i | −0.114097 | + | 0.0957389i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 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 | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −1.06799 | − | 6.05689i | −0.0482470 | − | 0.273622i | ||||
\(491\) | −34.1243 | + | 12.4202i | −1.54001 | + | 0.560516i | −0.966047 | − | 0.258367i | \(-0.916815\pi\) |
−0.573959 | + | 0.818884i | \(0.694593\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 33.1619 | 1.49354 | ||||||||
\(494\) | 3.31004 | − | 2.71386i | 0.148926 | − | 0.122102i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 8.84356 | + | 7.42063i | 0.397088 | + | 0.333196i | ||||
\(497\) | −41.7563 | + | 15.1980i | −1.87303 | + | 0.681725i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −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 | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −2.88564 | + | 4.99807i | −0.128792 | + | 0.223075i | ||||
\(503\) | 15.7096 | − | 13.1819i | 0.700457 | − | 0.587753i | −0.221447 | − | 0.975173i | \(-0.571078\pi\) |
0.921904 | + | 0.387419i | \(0.126633\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 1.74523 | − | 3.02283i | 0.0776618 | − | 0.134514i | ||||
\(506\) | −4.62546 | − | 8.01153i | −0.205627 | − | 0.356156i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −1.48008 | + | 8.39397i | −0.0656681 | + | 0.372422i | ||||
\(509\) | 2.67442 | + | 15.1674i | 0.118542 | + | 0.672283i | 0.984936 | + | 0.172922i | \(0.0553207\pi\) |
−0.866394 | + | 0.499361i | \(0.833568\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −42.6626 | − | 35.7982i | −1.88728 | − | 1.58362i | ||||
\(512\) | 17.9712 | 0.794223 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 15.6591 | 0.690695 | ||||||||
\(515\) | −6.61206 | − | 5.54818i | −0.291362 | − | 0.244482i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 1.08005 | + | 6.12526i | 0.0475004 | + | 0.269388i | ||||
\(518\) | 0.0811817 | − | 0.460404i | 0.00356692 | − | 0.0202290i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −1.76736 | − | 3.06116i | −0.0775040 | − | 0.134241i | ||||
\(521\) | −1.17999 | + | 2.04381i | −0.0516965 | + | 0.0895409i | −0.890716 | − | 0.454561i | \(-0.849796\pi\) |
0.839019 | + | 0.544102i | \(0.183130\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 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 | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −8.70019 | − | 3.16661i | −0.379346 | − | 0.138071i | ||||
\(527\) | −7.25478 | + | 41.1439i | −0.316023 | + | 1.79226i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 10.9907 | − | 4.00028i | 0.477856 | − | 0.173925i | ||||
\(530\) | −0.776063 | − | 0.651194i | −0.0337100 | − | 0.0282861i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −21.6300 | − | 18.5732i | −0.937777 | − | 0.805252i | ||||
\(533\) | −0.0400008 | −0.00173263 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −5.89623 | + | 2.14605i | −0.254916 | + | 0.0927819i | ||||
\(536\) | −4.06429 | − | 23.0497i | −0.175551 | − | 0.995597i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 10.2296 | + | 3.72326i | 0.441028 | + | 0.160521i | ||||
\(539\) | −21.1316 | − | 36.6009i | −0.910200 | − | 1.57651i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −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 | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 18.0282 | + | 31.2258i | 0.772955 | + | 1.33880i | ||||
\(545\) | 9.26972 | + | 3.37390i | 0.397071 | + | 0.144522i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −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 | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 2.75150 | 0.117324 | ||||||||
\(551\) | −17.2388 | − | 14.8027i | −0.734400 | − | 0.630615i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 54.0944 | + | 45.3906i | 2.30033 | + | 1.93020i | ||||
\(554\) | 8.00339 | − | 2.91299i | 0.340031 | − | 0.123761i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 4.88463 | − | 27.7021i | 0.207155 | − | 1.17483i | ||||
\(557\) | −4.38265 | − | 1.59515i | −0.185699 | − | 0.0675889i | 0.247497 | − | 0.968889i | \(-0.420392\pi\) |
−0.433196 | + | 0.901300i | \(0.642614\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −3.54786 | + | 6.14508i | −0.150059 | + | 0.259909i | ||||
\(560\) | −5.50619 | + | 4.62024i | −0.232679 | + | 0.195241i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −5.52939 | + | 9.57719i | −0.233243 | + | 0.403989i | ||||
\(563\) | 17.3165 | + | 29.9930i | 0.729803 | + | 1.26406i | 0.956966 | + | 0.290199i | \(0.0937215\pi\) |
−0.227163 | + | 0.973857i | \(0.572945\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −0.911229 | + | 5.16784i | −0.0383357 | + | 0.217413i | ||||
\(566\) | −2.31118 | − | 13.1074i | −0.0971463 | − | 0.550944i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −18.9620 | − | 15.9110i | −0.795628 | − | 0.667611i | ||||
\(569\) | 20.6116 | 0.864081 | 0.432041 | − | 0.901854i | \(-0.357794\pi\) | ||||
0.432041 | + | 0.901854i | \(0.357794\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 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 | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −0.0115812 | − | 0.0656803i | −0.000483390 | − | 0.00274144i | ||||
\(575\) | 0.583829 | − | 3.31106i | 0.0243473 | − | 0.138081i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 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 | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −6.38756 | + | 5.35980i | −0.265229 | + | 0.222554i | ||||
\(581\) | −10.5426 | + | 18.2603i | −0.437381 | + | 0.757566i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −6.54172 | − | 2.38099i | −0.270930 | − | 0.0986106i | ||||
\(584\) | 5.38713 | − | 30.5519i | 0.222921 | − | 1.26425i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −6.38114 | + | 2.32254i | −0.263602 | + | 0.0959434i | ||||
\(587\) | −1.37306 | − | 1.15213i | −0.0566723 | − | 0.0475537i | 0.614012 | − | 0.789297i | \(-0.289555\pi\) |
−0.670684 | + | 0.741743i | \(0.733999\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 22.1370 | − | 18.1499i | 0.912139 | − | 0.747852i | ||||
\(590\) | 6.04064 | 0.248689 | ||||||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −0.298465 | + | 0.108632i | −0.0122668 | + | 0.00446476i | ||||
\(593\) | −0.291962 | − | 1.65580i | −0.0119894 | − | 0.0679955i | 0.978226 | − | 0.207542i | \(-0.0665465\pi\) |
−0.990215 | + | 0.139547i | \(0.955435\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −24.4435 | − | 8.89671i | −1.00209 | − | 0.364730i | ||||
\(596\) | −8.81407 | − | 15.2664i | −0.361039 | − | 0.625337i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 2.52913 | − | 2.12220i | 0.103424 | − | 0.0867830i | ||||
\(599\) | 1.65586 | − | 1.38943i | 0.0676568 | − | 0.0567708i | −0.608332 | − | 0.793683i | \(-0.708161\pi\) |
0.675989 | + | 0.736912i | \(0.263717\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −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 | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 0.658620 | + | 3.73522i | 0.0267989 | + | 0.151984i | ||||
\(605\) | 7.43056 | − | 2.70450i | 0.302095 | − | 0.109954i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 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 | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 2.95319 | + | 2.47802i | 0.119571 | + | 0.100332i | ||||
\(611\) | −2.08589 | + | 0.759203i | −0.0843862 | + | 0.0307141i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 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 | 0 | ||||||||
\(616\) | 20.2490 | − | 35.0724i | 0.815857 | − | 1.41311i | ||||
\(617\) | −16.1011 | + | 13.5104i | −0.648206 | + | 0.543909i | −0.906526 | − | 0.422150i | \(-0.861275\pi\) |
0.258320 | + | 0.966059i | \(0.416831\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −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 | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 0.797413 | − | 4.52235i | 0.0319733 | − | 0.181330i | ||||
\(623\) | 0.360573 | + | 2.04491i | 0.0144460 | + | 0.0819275i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 0.766044 | + | 0.642788i | 0.0306418 | + | 0.0257115i | ||||
\(626\) | −5.49193 | −0.219501 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 5.16890 | 0.206261 | ||||||||
\(629\) | −0.880527 | − | 0.738850i | −0.0351089 | − | 0.0294599i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 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 | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −10.1015 | − | 17.4964i | −0.401183 | − | 0.694870i | ||||
\(635\) | 2.66427 | − | 4.61465i | 0.105728 | − | 0.183127i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 11.5544 | − | 9.69532i | 0.457803 | − | 0.384143i | ||||
\(638\) | 7.17154 | − | 12.4215i | 0.283924 | − | 0.491771i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −10.6100 | − | 3.86171i | −0.419396 | − | 0.152648i | ||||
\(641\) | −0.606201 | + | 3.43794i | −0.0239435 | + | 0.135790i | −0.994436 | − | 0.105340i | \(-0.966407\pi\) |
0.970493 | + | 0.241130i | \(0.0775181\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −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 | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 16.5557 | − | 5.81330i | 0.651377 | − | 0.228721i | ||||
\(647\) | 21.1005 | 0.829545 | 0.414772 | − | 0.909925i | \(-0.363861\pi\) | ||||
0.414772 | + | 0.909925i | \(0.363861\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 39.0061 | − | 14.1971i | 1.53112 | − | 0.557283i | ||||
\(650\) | 0.170519 | + | 0.967062i | 0.00668831 | + | 0.0379313i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 9.89317 | + | 3.60082i | 0.387446 | + | 0.141019i | ||||
\(653\) | −8.38024 | − | 14.5150i | −0.327944 | − | 0.568016i | 0.654160 | − | 0.756356i | \(-0.273022\pi\) |
−0.982104 | + | 0.188341i | \(0.939689\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −1.31194 | + | 1.10085i | −0.0512617 | + | 0.0430137i | ||||
\(656\) | −0.0347102 | + | 0.0291253i | −0.00135521 | + | 0.00113715i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −1.85051 | − | 3.20518i | −0.0721404 | − | 0.124951i | ||||
\(659\) | 34.8179 | + | 12.6727i | 1.35631 | + | 0.493658i | 0.914913 | − | 0.403652i | \(-0.132259\pi\) |
0.441401 | + | 0.897310i | \(0.354482\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 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 | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −11.7455 | −0.455814 | ||||||||
\(665\) | 8.73543 | + | 15.5359i | 0.338745 | + | 0.602455i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −13.4259 | − | 11.2656i | −0.519851 | − | 0.436207i | ||||
\(668\) | −23.8284 | + | 8.67282i | −0.921948 | + | 0.335561i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −1.12910 | + | 6.40343i | −0.0436209 | + | 0.247386i | ||||
\(671\) | 24.8936 | + | 9.06052i | 0.961006 | + | 0.349777i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 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 | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −8.47123 | + | 14.6726i | −0.325817 | + | 0.564331i | ||||
\(677\) | −15.4611 | − | 26.7794i | −0.594217 | − | 1.02921i | −0.993657 | − | 0.112455i | \(-0.964129\pi\) |
0.399440 | − | 0.916759i | \(-0.369205\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 2.32902 | − | 13.2086i | 0.0893798 | − | 0.506898i | ||||
\(680\) | −2.51618 | − | 14.2700i | −0.0964912 | − | 0.547229i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 13.8424 | + | 11.6152i | 0.530053 | + | 0.444767i | ||||
\(683\) | 21.3136 | 0.815542 | 0.407771 | − | 0.913084i | \(-0.366306\pi\) | ||||
0.407771 | + | 0.913084i | \(0.366306\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 5.74575 | 0.219534 | ||||||||
\(686\) | 5.39029 | + | 4.52299i | 0.205802 | + | 0.172689i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 1.39573 | + | 7.91560i | 0.0532118 | + | 0.301779i | ||||
\(689\) | 0.431429 | − | 2.44676i | 0.0164362 | − | 0.0932141i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 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 | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 15.0760 | − | 12.6503i | 0.572279 | − | 0.480199i | ||||
\(695\) | −8.79272 | + | 15.2294i | −0.333527 | + | 0.577686i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −0.154089 | − | 0.0560837i | −0.00583652 | − | 0.00212432i | ||||
\(698\) | 1.92070 | − | 10.8928i | 0.0726995 | − | 0.412299i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 6.14619 | − | 2.23703i | 0.232304 | − | 0.0845518i | ||||
\(701\) | −12.1942 | − | 10.2321i | −0.460568 | − | 0.386463i | 0.382772 | − | 0.923843i | \(-0.374970\pi\) |
−0.843340 | + | 0.537380i | \(0.819414\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 0.127928 | + | 0.777130i | 0.00482488 | + | 0.0293100i | ||||
\(704\) | 0.307740 | 0.0115984 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −5.24776 | + | 1.91003i | −0.197502 | + | 0.0718848i | ||||
\(707\) | 2.47837 | + | 14.0555i | 0.0932085 | + | 0.528612i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 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 | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −0.886075 | + | 0.743505i | −0.0332071 | + | 0.0278640i | ||||
\(713\) | 16.9144 | − | 14.1929i | 0.633450 | − | 0.531528i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 3.37393 | + | 5.84382i | 0.126178 | + | 0.218546i | ||||
\(716\) | 21.4651 | + | 7.81265i | 0.802187 | + | 0.291972i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −2.18903 | − | 12.4146i | −0.0816938 | − | 0.463308i | ||||
\(719\) | −7.66940 | + | 2.79143i | −0.286020 | + | 0.104103i | −0.481046 | − | 0.876695i | \(-0.659743\pi\) |
0.195026 | + | 0.980798i | \(0.437521\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 35.2935 | 1.31440 | ||||||||
\(722\) | −11.2012 | − | 4.36811i | −0.416867 | − | 0.162564i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −17.6278 | − | 14.7915i | −0.655132 | − | 0.549721i | ||||
\(725\) | 4.89845 | − | 1.78289i | 0.181924 | − | 0.0662149i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −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 | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −4.30928 | + | 7.46389i | −0.159493 | + | 0.276251i | ||||
\(731\) | −22.2827 | + | 18.6974i | −0.824154 | + | 0.691548i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −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 | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 3.30905 | − | 18.7665i | 0.121973 | − | 0.691744i | ||||
\(737\) | 7.75881 | + | 44.0024i | 0.285799 | + | 1.62085i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −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 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 4.14243 | 0.152073 | ||||||||
\(743\) | −5.39641 | − | 4.52813i | −0.197975 | − | 0.166121i | 0.538411 | − | 0.842682i | \(-0.319025\pi\) |
−0.736386 | + | 0.676562i | \(0.763469\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 1.91368 | + | 10.8530i | 0.0701117 | + | 0.397623i | ||||
\(746\) | −0.784320 | + | 4.44810i | −0.0287160 | + | 0.162857i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −22.1239 | − | 38.3196i | −0.808928 | − | 1.40110i | ||||
\(749\) | 12.8283 | − | 22.2193i | 0.468737 | − | 0.811877i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 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 | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 4.81018 | + | 1.75076i | 0.175176 | + | 0.0637590i | ||||
\(755\) | 0.411744 | − | 2.33511i | 0.0149849 | − | 0.0849835i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −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 | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −5.06177 | + | 8.54126i | −0.183610 | + | 0.309824i | ||||
\(761\) | −30.9500 | −1.12194 | −0.560969 | − | 0.827837i | \(-0.689571\pi\) | ||||
−0.560969 | + | 0.827837i | \(0.689571\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −37.9034 | + | 13.7957i | −1.37220 | + | 0.499439i | ||||
\(764\) | 6.71612 | + | 38.0890i | 0.242981 | + | 1.37801i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 0.311458 | + | 0.113361i | 0.0112534 | + | 0.00409592i | ||||
\(767\) | 7.40713 | + | 12.8295i | 0.267456 | + | 0.463247i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −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 | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −4.08999 | − | 7.08407i | −0.147202 | − | 0.254961i | ||||
\(773\) | −11.6190 | − | 4.22899i | −0.417908 | − | 0.152106i | 0.124503 | − | 0.992219i | \(-0.460266\pi\) |
−0.542411 | + | 0.840113i | \(0.682488\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 1.14040 | + | 6.46755i | 0.0409645 | + | 0.232321i | ||||
\(776\) | 7.02075 | − | 2.55534i | 0.252030 | − | 0.0917315i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 1.57965 | 0.0566333 | ||||||||
\(779\) | 0.0550669 | + | 0.0979360i | 0.00197298 | + | 0.00350892i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 36.1988 | + | 30.3744i | 1.29530 | + | 1.08688i | ||||
\(782\) | 12.7180 | − | 4.62899i | 0.454796 | − | 0.165532i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 2.96688 | − | 16.8260i | 0.105960 | − | 0.600929i | ||||
\(785\) | −3.03651 | − | 1.10520i | −0.108378 | − | 0.0394463i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −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 | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 5.46398 | − | 9.46390i | 0.194400 | − | 0.336710i | ||||
\(791\) | −10.7285 | − | 18.5823i | −0.381462 | − | 0.660712i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −1.64174 | + | 9.31078i | −0.0583000 | + | 0.330636i | ||||
\(794\) | −0.317309 | − | 1.79955i | −0.0112609 | − | 0.0638636i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 7.81776 | + | 6.55988i | 0.277093 | + | 0.232509i | ||||
\(797\) | 5.08657 | 0.180176 | 0.0900879 | − | 0.995934i | \(-0.471285\pi\) | ||||
0.0900879 | + | 0.995934i | \(0.471285\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −9.09960 | −0.321921 | ||||||||
\(800\) | 4.34182 | + | 3.64322i | 0.153506 | + | 0.128807i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 1.89479 | + | 10.7459i | 0.0669073 | + | 0.379450i | ||||
\(803\) | −10.2841 | + | 58.3242i | −0.362919 | + | 2.05822i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 6.87380 | + | 11.9058i | 0.242270 | + | 0.419624i | ||||
\(806\) | −3.22449 | + | 5.58498i | −0.113578 | + | 0.196722i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −6.09036 | + | 5.11042i | −0.214258 | + | 0.179784i | ||||
\(809\) | 15.1064 | − | 26.1650i | 0.531112 | − | 0.919914i | −0.468228 | − | 0.883608i | \(-0.655108\pi\) |
0.999341 | − | 0.0363062i | \(-0.0115591\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −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 | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −0.467173 | + | 0.170037i | −0.0163744 | + | 0.00595980i | ||||
\(815\) | −5.04191 | − | 4.23067i | −0.176610 | − | 0.148194i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 19.9295 | + | 0.226820i | 0.697244 | + | 0.00793541i | ||||
\(818\) | −16.5221 | −0.577682 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 0.0387447 | − | 0.0141019i | 0.00135303 | − | 0.000492461i | ||||
\(821\) | 3.37413 | + | 19.1357i | 0.117758 | + | 0.667839i | 0.985348 | + | 0.170558i | \(0.0545571\pi\) |
−0.867589 | + | 0.497281i | \(0.834332\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 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 | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −18.9212 | + | 15.8768i | −0.658353 | + | 0.552424i | ||||
\(827\) | −43.8018 | + | 36.7541i | −1.52314 | + | 1.27806i | −0.692187 | + | 0.721718i | \(0.743353\pi\) |
−0.830950 | + | 0.556346i | \(0.812203\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 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 | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 0.0190716 | + | 0.108161i | 0.000661190 | + | 0.00374979i | ||||
\(833\) | 58.1028 | − | 21.1477i | 2.01314 | − | 0.732724i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 15.8526 | 0.548602 | ||||||||
\(836\) | −5.60413 | + | 29.7956i | −0.193823 | + | 1.03050i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 0.0546310 | + | 0.0458408i | 0.00188720 | + | 0.00158354i | ||||
\(839\) | 19.6431 | − | 7.14950i | 0.678155 | − | 0.246828i | 0.0200999 | − | 0.999798i | \(-0.493602\pi\) |
0.658055 | + | 0.752970i | \(0.271379\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −0.317165 | + | 1.79873i | −0.0109367 | + | 0.0620252i | ||||
\(842\) | −12.0226 | − | 4.37586i | −0.414326 | − | 0.150802i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −4.72826 | + | 8.18959i | −0.162753 | + | 0.281897i | ||||
\(845\) | 8.11376 | − | 6.80825i | 0.279122 | − | 0.234211i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −16.1666 | + | 28.0013i | −0.555490 | + | 0.962137i | ||||
\(848\) | −1.40716 | − | 2.43728i | −0.0483222 | − | 0.0836965i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −0.699019 | + | 3.96434i | −0.0239762 | + | 0.135976i | ||||
\(851\) | 0.105489 | + | 0.598259i | 0.00361612 | + | 0.0205081i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 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 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 14.2920 | 0.488492 | ||||||||
\(857\) | 38.9182 | + | 32.6562i | 1.32942 | + | 1.11552i | 0.984213 | + | 0.176990i | \(0.0566359\pi\) |
0.345208 | + | 0.938526i | \(0.387808\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −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 | 0 | ||||||||
\(862\) | −12.8285 | − | 22.2195i | −0.436939 | − | 0.756801i | ||||
\(863\) | 9.02344 | − | 15.6291i | 0.307161 | − | 0.532019i | −0.670579 | − | 0.741838i | \(-0.733954\pi\) |
0.977740 | + | 0.209819i | \(0.0672875\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −1.45639 | + | 1.22206i | −0.0495189 | + | 0.0415512i | ||||
\(866\) | 7.20529 | − | 12.4799i | 0.244846 | − | 0.424085i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 40.3640 | + | 14.6913i | 1.37004 | + | 0.498655i | ||||
\(869\) | 13.0399 | − | 73.9527i | 0.442347 | − | 2.50867i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −14.9846 | + | 5.45393i | −0.507732 | + | 0.184799i | ||||
\(872\) | −17.2124 | − | 14.4429i | −0.582884 | − | 0.489098i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −8.67761 | − | 3.27070i | −0.293524 | − | 0.110633i | ||||
\(875\) | −4.08895 | −0.138232 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 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 | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 7.18269 | + | 2.61429i | 0.242128 | + | 0.0881275i | ||||
\(881\) | 16.7038 | + | 28.9318i | 0.562765 | + | 0.974737i | 0.997254 | + | 0.0740599i | \(0.0235956\pi\) |
−0.434489 | + | 0.900677i | \(0.643071\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 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 | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −4.38998 | − | 7.60367i | −0.147484 | − | 0.255450i | ||||
\(887\) | −8.82015 | − | 3.21027i | −0.296152 | − | 0.107790i | 0.189671 | − | 0.981848i | \(-0.439258\pi\) |
−0.485823 | + | 0.874057i | \(0.661480\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 3.78347 | + | 21.4571i | 0.126893 | + | 0.719648i | ||||
\(890\) | 0.301960 | − | 0.109904i | 0.0101217 | − | 0.00368401i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 46.8914 | 1.57004 | ||||||||
\(893\) | 4.73033 | + | 4.06185i | 0.158295 | + | 0.135924i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −10.9394 | − | 9.17922i | −0.365663 | − | 0.306827i | ||||
\(896\) | 43.3837 | − | 15.7904i | 1.44935 | − | 0.527519i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 0.660111 | − | 3.74368i | 0.0220282 | − | 0.124928i | ||||
\(899\) | 32.1697 | + | 11.7088i | 1.07292 | + | 0.390511i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 5.09244 | − | 8.82036i | 0.169654 | − | 0.293849i | ||||
\(902\) | −0.0543303 | + | 0.0455885i | −0.00180900 | + | 0.00151793i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 5.97631 | − | 10.3513i | 0.198769 | − | 0.344278i | ||||
\(905\) | 7.19293 | + | 12.4585i | 0.239101 | + | 0.414135i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −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 | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −3.07587 | − | 2.58097i | −0.101964 | − | 0.0855582i | ||||
\(911\) | 31.8865 | 1.05645 | 0.528223 | − | 0.849106i | \(-0.322858\pi\) | ||||
0.528223 | + | 0.849106i | \(0.322858\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 22.4224 | 0.742073 | ||||||||
\(914\) | −11.6216 | − | 9.75172i | −0.384410 | − | 0.322558i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −7.85227 | − | 44.5324i | −0.259446 | − | 1.47139i | ||||
\(917\) | 1.21602 | − | 6.89642i | 0.0401567 | − | 0.227740i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 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 | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 17.4922 | − | 14.6777i | 0.576075 | − | 0.483384i | ||||
\(923\) | −8.43225 | + | 14.6051i | −0.277551 | + | 0.480733i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −0.169789 | − | 0.0617980i | −0.00558262 | − | 0.00203191i | ||||
\(926\) | 0.773873 | − | 4.38885i | 0.0254311 | − | 0.144227i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 27.7636 | − | 10.1051i | 0.911386 | − | 0.331717i | ||||
\(929\) | −18.6717 | − | 15.6674i | −0.612600 | − | 0.514032i | 0.282868 | − | 0.959159i | \(-0.408714\pi\) |
−0.895468 | + | 0.445127i | \(0.853159\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −39.6439 | − | 14.9423i | −1.29928 | − | 0.489714i | ||||
\(932\) | −10.9592 | −0.358979 | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 23.6243 | − | 8.59853i | 0.773009 | − | 0.281352i | ||||
\(935\) | 4.80344 | + | 27.2417i | 0.157089 | + | 0.890898i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −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 | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 1.75274 | − | 1.47073i | 0.0571682 | − | 0.0479698i | ||||
\(941\) | 17.9348 | − | 15.0491i | 0.584659 | − | 0.490587i | −0.301814 | − | 0.953367i | \(-0.597592\pi\) |
0.886473 | + | 0.462779i | \(0.153148\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 0.0433315 | + | 0.0750524i | 0.00141107 | + | 0.00244404i | ||||
\(944\) | 15.7689 | + | 5.73940i | 0.513233 | + | 0.186802i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 2.18468 | + | 12.3899i | 0.0710299 | + | 0.402831i | ||||
\(947\) | 37.3038 | − | 13.5775i | 1.21221 | − | 0.441208i | 0.344740 | − | 0.938698i | \(-0.387967\pi\) |
0.867470 | + | 0.497490i | \(0.165745\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −21.1364 | −0.686117 | ||||||||
\(950\) | 2.13296 | − | 1.74879i | 0.0692025 | − | 0.0567383i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 45.3877 | + | 38.0848i | 1.47102 | + | 1.23433i | ||||
\(953\) | −46.8875 | + | 17.0657i | −1.51884 | + | 0.552811i | −0.960857 | − | 0.277045i | \(-0.910645\pi\) |
−0.557978 | + | 0.829856i | \(0.688423\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 4.19866 | − | 23.8118i | 0.135865 | − | 0.770531i | ||||
\(956\) | 20.1320 | + | 7.32746i | 0.651116 | + | 0.236987i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −11.4860 | + | 19.8944i | −0.371097 | + | 0.642758i | ||||
\(959\) | −17.9975 | + | 15.1017i | −0.581170 | + | 0.487660i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −6.06485 | + | 10.5046i | −0.195640 | + | 0.338859i | ||||
\(962\) | −0.0887147 | − | 0.153658i | −0.00286028 | − | 0.00495414i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 7.12582 | − | 40.4125i | 0.229507 | − | 1.30160i | ||||
\(965\) | 0.888002 | + | 5.03611i | 0.0285858 | + | 0.162118i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −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 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −2.07561 | −0.0666437 | ||||||||
\(971\) | 18.3652 | + | 15.4102i | 0.589367 | + | 0.494537i | 0.888008 | − | 0.459828i | \(-0.152089\pi\) |
−0.298641 | + | 0.954365i | \(0.596533\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −12.4864 | − | 70.8136i | −0.400294 | − | 2.27018i | ||||
\(974\) | −0.278553 | + | 1.57975i | −0.00892542 | + | 0.0506186i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 5.35476 | + | 9.27472i | 0.171402 | + | 0.296876i | ||||
\(977\) | −26.3233 | + | 45.5933i | −0.842157 | + | 1.45866i | 0.0459104 | + | 0.998946i | \(0.485381\pi\) |
−0.888067 | + | 0.459713i | \(0.847952\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 1.69153 | − | 1.41937i | 0.0540617 | − | 0.0453631i | ||||
\(980\) | −7.77362 | + | 13.4643i | −0.248319 | + | 0.430102i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −21.5932 | − | 7.85927i | −0.689065 | − | 0.250799i | ||||
\(983\) | 7.12467 | − | 40.4060i | 0.227242 | − | 1.28875i | −0.631112 | − | 0.775692i | \(-0.717401\pi\) |
0.858353 | − | 0.513059i | \(-0.171488\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −0.0604093 | + | 0.0219872i | −0.00192480 | + | 0.000700570i | ||||
\(986\) | 16.0748 | + | 13.4884i | 0.511926 | + | 0.429557i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −10.8195 | − | 0.123138i | −0.344214 | − | 0.00391753i | ||||
\(989\) | 15.3731 | 0.488837 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −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 | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −26.4226 | − | 9.61703i | −0.838073 | − | 0.305034i | ||||
\(995\) | −3.18999 | − | 5.52523i | −0.101130 | − | 0.175162i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −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 | 0 |
(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 | 855.2.bs.c.586.3 | 18 | ||
3.2 | odd | 2 | 95.2.k.a.16.1 | yes | 18 | ||
15.2 | even | 4 | 475.2.u.b.149.4 | 36 | |||
15.8 | even | 4 | 475.2.u.b.149.3 | 36 | |||
15.14 | odd | 2 | 475.2.l.c.301.3 | 18 | |||
19.6 | even | 9 | inner | 855.2.bs.c.766.3 | 18 | ||
57.5 | odd | 18 | 1805.2.a.v.1.2 | 9 | |||
57.14 | even | 18 | 1805.2.a.s.1.8 | 9 | |||
57.44 | odd | 18 | 95.2.k.a.6.1 | ✓ | 18 | ||
285.14 | even | 18 | 9025.2.a.cf.1.2 | 9 | |||
285.44 | odd | 18 | 475.2.l.c.101.3 | 18 | |||
285.119 | odd | 18 | 9025.2.a.cc.1.8 | 9 | |||
285.158 | even | 36 | 475.2.u.b.424.4 | 36 | |||
285.272 | even | 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 | 57.44 | odd | 18 | ||
95.2.k.a.16.1 | yes | 18 | 3.2 | odd | 2 | ||
475.2.l.c.101.3 | 18 | 285.44 | odd | 18 | |||
475.2.l.c.301.3 | 18 | 15.14 | odd | 2 | |||
475.2.u.b.149.3 | 36 | 15.8 | even | 4 | |||
475.2.u.b.149.4 | 36 | 15.2 | even | 4 | |||
475.2.u.b.424.3 | 36 | 285.272 | even | 36 | |||
475.2.u.b.424.4 | 36 | 285.158 | even | 36 | |||
855.2.bs.c.586.3 | 18 | 1.1 | even | 1 | trivial | ||
855.2.bs.c.766.3 | 18 | 19.6 | even | 9 | inner | ||
1805.2.a.s.1.8 | 9 | 57.14 | even | 18 | |||
1805.2.a.v.1.2 | 9 | 57.5 | odd | 18 | |||
9025.2.a.cc.1.8 | 9 | 285.119 | odd | 18 | |||
9025.2.a.cf.1.2 | 9 | 285.14 | even | 18 |