Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [414,2,Mod(55,414)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(414, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([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("414.55");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 414 = 2 \cdot 3^{2} \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 414.i (of order \(11\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.30580664368\) |
Analytic rank: | \(0\) |
Dimension: | \(10\) |
Coefficient field: | \(\Q(\zeta_{22})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{10} - x^{9} + x^{8} - x^{7} + x^{6} - x^{5} + x^{4} - x^{3} + x^{2} - x + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 138) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 55.1 | ||
Root | \(0.654861 - 0.755750i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 414.55 |
Dual form | 414.2.i.d.271.1 |
$q$-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 \(\left(\mathbb{Z}/414\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(235\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{5}{11}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.959493 | − | 0.281733i | 0.678464 | − | 0.199215i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.841254 | − | 0.540641i | 0.420627 | − | 0.270320i | ||||
\(5\) | −0.455922 | − | 3.17101i | −0.203895 | − | 1.41812i | −0.792586 | − | 0.609760i | \(-0.791266\pi\) |
0.588692 | − | 0.808358i | \(-0.299643\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.628663 | − | 1.37658i | 0.237612 | − | 0.520298i | −0.752832 | − | 0.658213i | \(-0.771313\pi\) |
0.990444 | + | 0.137915i | \(0.0440399\pi\) | |||||||
\(8\) | 0.654861 | − | 0.755750i | 0.231528 | − | 0.267198i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −1.33083 | − | 2.91411i | −0.420845 | − | 0.921523i | ||||
\(11\) | −6.27358 | − | 1.84209i | −1.89155 | − | 0.555411i | −0.993243 | − | 0.116051i | \(-0.962976\pi\) |
−0.898311 | − | 0.439360i | \(-0.855205\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 1.19894 | + | 2.62531i | 0.332526 | + | 0.728130i | 0.999862 | − | 0.0166269i | \(-0.00529276\pi\) |
−0.667336 | + | 0.744757i | \(0.732565\pi\) | |||||||
\(14\) | 0.215370 | − | 1.49793i | 0.0575601 | − | 0.400340i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.415415 | − | 0.909632i | 0.103854 | − | 0.227408i | ||||
\(17\) | 1.00654 | + | 0.646863i | 0.244121 | + | 0.156887i | 0.656980 | − | 0.753908i | \(-0.271833\pi\) |
−0.412859 | + | 0.910795i | \(0.635470\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 0.467362 | − | 0.300355i | 0.107220 | − | 0.0689062i | −0.485932 | − | 0.873997i | \(-0.661520\pi\) |
0.593152 | + | 0.805090i | \(0.297883\pi\) | |||||||
\(20\) | −2.09792 | − | 2.42113i | −0.469110 | − | 0.541381i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −6.53843 | −1.39400 | ||||||||
\(23\) | 4.66752 | − | 1.10192i | 0.973246 | − | 0.229765i | ||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −5.04996 | + | 1.48280i | −1.00999 | + | 0.296560i | ||||
\(26\) | 1.89001 | + | 2.18119i | 0.370661 | + | 0.427766i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −0.215370 | − | 1.49793i | −0.0407012 | − | 0.283083i | ||||
\(29\) | 7.29298 | + | 4.68691i | 1.35427 | + | 0.870337i | 0.997948 | − | 0.0640253i | \(-0.0203938\pi\) |
0.356323 | + | 0.934363i | \(0.384030\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 4.41087 | − | 5.09042i | 0.792216 | − | 0.914266i | −0.205712 | − | 0.978613i | \(-0.565951\pi\) |
0.997928 | + | 0.0643467i | \(0.0204963\pi\) | |||||||
\(32\) | 0.142315 | − | 0.989821i | 0.0251579 | − | 0.174977i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 1.14801 | + | 0.337086i | 0.196882 | + | 0.0578097i | ||||
\(35\) | −4.65177 | − | 1.36588i | −0.786292 | − | 0.230876i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 0.206897 | − | 1.43900i | 0.0340137 | − | 0.236570i | −0.965722 | − | 0.259580i | \(-0.916416\pi\) |
0.999735 | + | 0.0230098i | \(0.00732488\pi\) | |||||||
\(38\) | 0.363811 | − | 0.419860i | 0.0590179 | − | 0.0681103i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −2.69505 | − | 1.73201i | −0.426125 | − | 0.273854i | ||||
\(41\) | −0.262991 | − | 1.82915i | −0.0410724 | − | 0.285665i | −0.999998 | − | 0.00200695i | \(-0.999361\pi\) |
0.958926 | − | 0.283658i | \(-0.0915479\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −1.42353 | − | 1.64284i | −0.217086 | − | 0.250531i | 0.636753 | − | 0.771068i | \(-0.280277\pi\) |
−0.853839 | + | 0.520537i | \(0.825732\pi\) | |||||||
\(44\) | −6.27358 | + | 1.84209i | −0.945777 | + | 0.277705i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 4.16801 | − | 2.37227i | 0.614540 | − | 0.349773i | ||||
\(47\) | 11.4135 | 1.66483 | 0.832416 | − | 0.554152i | \(-0.186957\pi\) | ||||
0.832416 | + | 0.554152i | \(0.186957\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 3.08427 | + | 3.55944i | 0.440610 | + | 0.508491i | ||||
\(50\) | −4.42765 | + | 2.84548i | −0.626164 | + | 0.402411i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 2.42796 | + | 1.56036i | 0.336698 | + | 0.216382i | ||||
\(53\) | −5.01045 | + | 10.9714i | −0.688238 | + | 1.50703i | 0.165434 | + | 0.986221i | \(0.447098\pi\) |
−0.853672 | + | 0.520811i | \(0.825630\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −2.98101 | + | 20.7334i | −0.401960 | + | 2.79569i | ||||
\(56\) | −0.628663 | − | 1.37658i | −0.0840086 | − | 0.183953i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 8.31801 | + | 2.44239i | 1.09221 | + | 0.320701i | ||||
\(59\) | −1.64562 | − | 3.60341i | −0.214242 | − | 0.469125i | 0.771748 | − | 0.635928i | \(-0.219383\pi\) |
−0.985990 | + | 0.166804i | \(0.946655\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −5.91634 | + | 6.82782i | −0.757510 | + | 0.874213i | −0.995274 | − | 0.0971102i | \(-0.969040\pi\) |
0.237764 | + | 0.971323i | \(0.423586\pi\) | |||||||
\(62\) | 2.79806 | − | 6.12691i | 0.355355 | − | 0.778118i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −0.142315 | − | 0.989821i | −0.0177894 | − | 0.123728i | ||||
\(65\) | 7.77825 | − | 4.99878i | 0.964774 | − | 0.620022i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 7.35733 | − | 2.16031i | 0.898841 | − | 0.263924i | 0.200504 | − | 0.979693i | \(-0.435742\pi\) |
0.698337 | + | 0.715769i | \(0.253924\pi\) | |||||||
\(68\) | 1.19647 | 0.145094 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −4.84815 | −0.579465 | ||||||||
\(71\) | −9.07303 | + | 2.66408i | −1.07677 | + | 0.316168i | −0.771586 | − | 0.636125i | \(-0.780536\pi\) |
−0.305184 | + | 0.952293i | \(0.598718\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −0.527969 | + | 0.339305i | −0.0617941 | + | 0.0397127i | −0.571173 | − | 0.820830i | \(-0.693512\pi\) |
0.509379 | + | 0.860542i | \(0.329875\pi\) | |||||||
\(74\) | −0.206897 | − | 1.43900i | −0.0240513 | − | 0.167281i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0.230786 | − | 0.505350i | 0.0264729 | − | 0.0579676i | ||||
\(77\) | −6.47975 | + | 7.47803i | −0.738436 | + | 0.852200i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −5.72115 | − | 12.5276i | −0.643680 | − | 1.40946i | −0.896978 | − | 0.442074i | \(-0.854243\pi\) |
0.253298 | − | 0.967388i | \(-0.418485\pi\) | |||||||
\(80\) | −3.07385 | − | 0.902563i | −0.343667 | − | 0.100910i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −0.767668 | − | 1.68096i | −0.0847748 | − | 0.185631i | ||||
\(83\) | −2.21852 | + | 15.4302i | −0.243515 | + | 1.69368i | 0.390695 | + | 0.920520i | \(0.372235\pi\) |
−0.634209 | + | 0.773161i | \(0.718674\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 1.59230 | − | 3.48666i | 0.172710 | − | 0.378181i | ||||
\(86\) | −1.82871 | − | 1.17524i | −0.197195 | − | 0.126729i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −5.50048 | + | 3.53494i | −0.586353 | + | 0.376826i | ||||
\(89\) | −3.67930 | − | 4.24613i | −0.390005 | − | 0.450089i | 0.526463 | − | 0.850198i | \(-0.323518\pi\) |
−0.916468 | + | 0.400109i | \(0.868972\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 4.36768 | 0.457857 | ||||||||
\(92\) | 3.33083 | − | 3.45045i | 0.347263 | − | 0.359734i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 10.9512 | − | 3.21556i | 1.12953 | − | 0.331659i | ||||
\(95\) | −1.16551 | − | 1.34507i | −0.119579 | − | 0.138001i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 1.03139 | + | 7.17350i | 0.104722 | + | 0.728359i | 0.972752 | + | 0.231847i | \(0.0744769\pi\) |
−0.868030 | + | 0.496512i | \(0.834614\pi\) | |||||||
\(98\) | 3.96215 | + | 2.54632i | 0.400237 | + | 0.257217i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −3.44663 | + | 3.97763i | −0.344663 | + | 0.397763i | ||||
\(101\) | −0.145699 | + | 1.01336i | −0.0144976 | + | 0.100833i | −0.995785 | − | 0.0917137i | \(-0.970766\pi\) |
0.981288 | + | 0.192546i | \(0.0616746\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −4.36497 | − | 1.28167i | −0.430093 | − | 0.126287i | 0.0595187 | − | 0.998227i | \(-0.481043\pi\) |
−0.489612 | + | 0.871940i | \(0.662862\pi\) | |||||||
\(104\) | 2.76921 | + | 0.813115i | 0.271544 | + | 0.0797325i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −1.71650 | + | 11.9385i | −0.166722 | + | 1.15957i | ||||
\(107\) | −0.394872 | + | 0.455707i | −0.0381738 | + | 0.0440549i | −0.774515 | − | 0.632555i | \(-0.782006\pi\) |
0.736342 | + | 0.676610i | \(0.236552\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −4.94301 | − | 3.17668i | −0.473454 | − | 0.304271i | 0.282067 | − | 0.959395i | \(-0.408980\pi\) |
−0.755521 | + | 0.655124i | \(0.772616\pi\) | |||||||
\(110\) | 2.98101 | + | 20.7334i | 0.284229 | + | 1.97685i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −0.991025 | − | 1.14370i | −0.0936431 | − | 0.108070i | ||||
\(113\) | 11.8091 | − | 3.46746i | 1.11091 | − | 0.326191i | 0.325729 | − | 0.945463i | \(-0.394390\pi\) |
0.785177 | + | 0.619272i | \(0.212572\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −5.62221 | − | 14.2984i | −0.524274 | − | 1.33333i | ||||
\(116\) | 8.66918 | 0.804913 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −2.59416 | − | 2.99382i | −0.238812 | − | 0.275604i | ||||
\(119\) | 1.52323 | − | 0.978921i | 0.139634 | − | 0.0897375i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 26.7107 | + | 17.1659i | 2.42824 | + | 1.56054i | ||||
\(122\) | −3.75307 | + | 8.21807i | −0.339787 | + | 0.744029i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 0.958574 | − | 6.66703i | 0.0860825 | − | 0.598717i | ||||
\(125\) | 0.350212 | + | 0.766857i | 0.0313239 | + | 0.0685898i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −8.51054 | − | 2.49892i | −0.755188 | − | 0.221743i | −0.118595 | − | 0.992943i | \(-0.537839\pi\) |
−0.636594 | + | 0.771199i | \(0.719657\pi\) | |||||||
\(128\) | −0.415415 | − | 0.909632i | −0.0367178 | − | 0.0804009i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 6.05486 | − | 6.98768i | 0.531046 | − | 0.612860i | ||||
\(131\) | −5.20867 | + | 11.4054i | −0.455083 | + | 0.996493i | 0.533498 | + | 0.845802i | \(0.320877\pi\) |
−0.988581 | + | 0.150692i | \(0.951850\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −0.119650 | − | 0.832183i | −0.0103750 | − | 0.0721594i | ||||
\(134\) | 6.45068 | − | 4.14560i | 0.557254 | − | 0.358125i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 1.14801 | − | 0.337086i | 0.0984409 | − | 0.0289049i | ||||
\(137\) | 13.6483 | 1.16606 | 0.583028 | − | 0.812452i | \(-0.301868\pi\) | ||||
0.583028 | + | 0.812452i | \(0.301868\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −11.6537 | −0.988455 | −0.494227 | − | 0.869333i | \(-0.664549\pi\) | ||||
−0.494227 | + | 0.869333i | \(0.664549\pi\) | |||||||
\(140\) | −4.65177 | + | 1.36588i | −0.393146 | + | 0.115438i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −7.95495 | + | 5.11234i | −0.667565 | + | 0.429018i | ||||
\(143\) | −2.68558 | − | 18.6786i | −0.224580 | − | 1.56199i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 11.5372 | − | 25.2629i | 0.958112 | − | 2.09797i | ||||
\(146\) | −0.410989 | + | 0.474307i | −0.0340137 | + | 0.0392539i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −0.603930 | − | 1.32242i | −0.0496428 | − | 0.108702i | ||||
\(149\) | 16.6025 | + | 4.87494i | 1.36013 | + | 0.399371i | 0.878809 | − | 0.477173i | \(-0.158339\pi\) |
0.481322 | + | 0.876544i | \(0.340157\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −2.00749 | − | 4.39579i | −0.163367 | − | 0.357724i | 0.810190 | − | 0.586167i | \(-0.199364\pi\) |
−0.973557 | + | 0.228443i | \(0.926637\pi\) | |||||||
\(152\) | 0.0790636 | − | 0.549899i | 0.00641291 | − | 0.0446027i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −4.11047 | + | 9.00067i | −0.331231 | + | 0.725295i | ||||
\(155\) | −18.1528 | − | 11.6661i | −1.45807 | − | 0.937042i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −4.24859 | + | 2.73040i | −0.339075 | + | 0.217910i | −0.699086 | − | 0.715038i | \(-0.746409\pi\) |
0.360011 | + | 0.932948i | \(0.382773\pi\) | |||||||
\(158\) | −9.01883 | − | 10.4083i | −0.717500 | − | 0.828039i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −3.20362 | −0.253268 | ||||||||
\(161\) | 1.41742 | − | 7.11795i | 0.111709 | − | 0.560973i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −3.42292 | + | 1.00506i | −0.268104 | + | 0.0787225i | −0.413021 | − | 0.910721i | \(-0.635527\pi\) |
0.144917 | + | 0.989444i | \(0.453708\pi\) | |||||||
\(164\) | −1.21015 | − | 1.39659i | −0.0944971 | − | 0.109055i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 2.21852 | + | 15.4302i | 0.172191 | + | 1.19761i | ||||
\(167\) | −3.83643 | − | 2.46553i | −0.296872 | − | 0.190788i | 0.383722 | − | 0.923449i | \(-0.374642\pi\) |
−0.680594 | + | 0.732660i | \(0.738278\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 3.05839 | − | 3.52957i | 0.235261 | − | 0.271506i | ||||
\(170\) | 0.545499 | − | 3.79403i | 0.0418378 | − | 0.290989i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −2.08574 | − | 0.612427i | −0.159036 | − | 0.0466971i | ||||
\(173\) | −14.9808 | − | 4.39875i | −1.13897 | − | 0.334431i | −0.342740 | − | 0.939430i | \(-0.611355\pi\) |
−0.796226 | + | 0.605000i | \(0.793173\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −1.13353 | + | 7.88385i | −0.0856866 | + | 0.595963i | ||||
\(176\) | −4.28176 | + | 4.94141i | −0.322750 | + | 0.372473i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −4.72653 | − | 3.03756i | −0.354269 | − | 0.227675i | ||||
\(179\) | 0.911557 | + | 6.34002i | 0.0681330 | + | 0.473875i | 0.995111 | + | 0.0987602i | \(0.0314877\pi\) |
−0.926978 | + | 0.375115i | \(0.877603\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 14.4962 | + | 16.7295i | 1.07750 | + | 1.24350i | 0.968383 | + | 0.249467i | \(0.0802554\pi\) |
0.109112 | + | 0.994029i | \(0.465199\pi\) | |||||||
\(182\) | 4.19075 | − | 1.23052i | 0.310639 | − | 0.0912120i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 2.22381 | − | 4.24908i | 0.163941 | − | 0.313246i | ||||
\(185\) | −4.65742 | −0.342420 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −5.12301 | − | 5.91227i | −0.374632 | − | 0.432348i | ||||
\(188\) | 9.60165 | − | 6.17061i | 0.700273 | − | 0.450038i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −1.49725 | − | 0.962223i | −0.108622 | − | 0.0698070i | ||||
\(191\) | 0.892788 | − | 1.95493i | 0.0645999 | − | 0.141454i | −0.874578 | − | 0.484884i | \(-0.838862\pi\) |
0.939178 | + | 0.343430i | \(0.111589\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 1.60048 | − | 11.1316i | 0.115205 | − | 0.801267i | −0.847516 | − | 0.530770i | \(-0.821903\pi\) |
0.962721 | − | 0.270497i | \(-0.0871880\pi\) | |||||||
\(194\) | 3.01062 | + | 6.59235i | 0.216150 | + | 0.473303i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 4.51903 | + | 1.32691i | 0.322788 | + | 0.0947791i | ||||
\(197\) | −4.32551 | − | 9.47155i | −0.308180 | − | 0.674820i | 0.690650 | − | 0.723190i | \(-0.257325\pi\) |
−0.998830 | + | 0.0483697i | \(0.984597\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −9.88825 | + | 11.4117i | −0.700960 | + | 0.808950i | −0.988882 | − | 0.148703i | \(-0.952490\pi\) |
0.287922 | + | 0.957654i | \(0.407036\pi\) | |||||||
\(200\) | −2.18639 | + | 4.78753i | −0.154601 | + | 0.338530i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 0.145699 | + | 1.01336i | 0.0102513 | + | 0.0712995i | ||||
\(203\) | 11.0367 | − | 7.09288i | 0.774627 | − | 0.497822i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −5.68033 | + | 1.66790i | −0.396732 | + | 0.116491i | ||||
\(206\) | −4.54925 | −0.316961 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 2.88612 | 0.200117 | ||||||||
\(209\) | −3.48531 | + | 1.02338i | −0.241084 | + | 0.0707887i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 9.65999 | − | 6.20810i | 0.665021 | − | 0.427383i | −0.164107 | − | 0.986443i | \(-0.552474\pi\) |
0.829127 | + | 0.559060i | \(0.188838\pi\) | |||||||
\(212\) | 1.71650 | + | 11.9385i | 0.117890 | + | 0.819943i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −0.250490 | + | 0.548496i | −0.0171231 | + | 0.0374944i | ||||
\(215\) | −4.56044 | + | 5.26303i | −0.311019 | + | 0.358936i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −4.23441 | − | 9.27207i | −0.287451 | − | 0.629429i | ||||
\(218\) | −5.63776 | − | 1.65539i | −0.381837 | − | 0.112117i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 8.70154 | + | 19.0537i | 0.586658 | + | 1.28460i | ||||
\(221\) | −0.491437 | + | 3.41802i | −0.0330577 | + | 0.229921i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −6.56619 | + | 14.3779i | −0.439704 | + | 0.962818i | 0.551948 | + | 0.833879i | \(0.313885\pi\) |
−0.991652 | + | 0.128940i | \(0.958843\pi\) | |||||||
\(224\) | −1.27310 | − | 0.818172i | −0.0850626 | − | 0.0546664i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 10.3538 | − | 6.65401i | 0.688727 | − | 0.442618i | ||||
\(227\) | −1.69916 | − | 1.96094i | −0.112777 | − | 0.130152i | 0.696554 | − | 0.717504i | \(-0.254716\pi\) |
−0.809331 | + | 0.587352i | \(0.800170\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 9.99374 | 0.660405 | 0.330202 | − | 0.943910i | \(-0.392883\pi\) | ||||
0.330202 | + | 0.943910i | \(0.392883\pi\) | |||||||
\(230\) | −9.42279 | − | 12.1352i | −0.621320 | − | 0.800173i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 8.31801 | − | 2.44239i | 0.546104 | − | 0.160351i | ||||
\(233\) | −17.8743 | − | 20.6280i | −1.17098 | − | 1.35139i | −0.924012 | − | 0.382363i | \(-0.875110\pi\) |
−0.246971 | − | 0.969023i | \(-0.579435\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −5.20367 | − | 36.1923i | −0.339450 | − | 2.36093i | ||||
\(236\) | −3.33254 | − | 2.14169i | −0.216930 | − | 0.139412i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 1.18574 | − | 1.36841i | 0.0768598 | − | 0.0887010i | ||||
\(239\) | 2.03776 | − | 14.1729i | 0.131812 | − | 0.916771i | −0.811379 | − | 0.584520i | \(-0.801283\pi\) |
0.943191 | − | 0.332251i | \(-0.107808\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −13.6207 | − | 3.99940i | −0.877387 | − | 0.257624i | −0.188133 | − | 0.982144i | \(-0.560244\pi\) |
−0.689254 | + | 0.724520i | \(0.742062\pi\) | |||||||
\(242\) | 30.4649 | + | 8.94531i | 1.95836 | + | 0.575026i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −1.28574 | + | 8.94254i | −0.0823113 | + | 0.572488i | ||||
\(245\) | 9.88082 | − | 11.4031i | 0.631262 | − | 0.728515i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 1.34886 | + | 0.866862i | 0.0858262 | + | 0.0551571i | ||||
\(248\) | −0.958574 | − | 6.66703i | −0.0608695 | − | 0.423357i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 0.552075 | + | 0.637128i | 0.0349163 | + | 0.0402955i | ||||
\(251\) | 11.4799 | − | 3.37080i | 0.724604 | − | 0.212763i | 0.101426 | − | 0.994843i | \(-0.467659\pi\) |
0.623178 | + | 0.782080i | \(0.285841\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −31.3119 | − | 1.68503i | −1.96856 | − | 0.105937i | ||||
\(254\) | −8.86983 | −0.556543 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −0.654861 | − | 0.755750i | −0.0409288 | − | 0.0472343i | ||||
\(257\) | −21.8698 | + | 14.0549i | −1.36420 | + | 0.876720i | −0.998539 | − | 0.0540274i | \(-0.982794\pi\) |
−0.365663 | + | 0.930747i | \(0.619158\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −1.85083 | − | 1.18946i | −0.115005 | − | 0.0739093i | ||||
\(260\) | 3.84094 | − | 8.41048i | 0.238205 | − | 0.521596i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −1.78441 | + | 12.4108i | −0.110241 | + | 0.766744i | ||||
\(263\) | −2.38558 | − | 5.22370i | −0.147101 | − | 0.322107i | 0.821710 | − | 0.569906i | \(-0.193020\pi\) |
−0.968812 | + | 0.247798i | \(0.920293\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 37.0746 | + | 10.8861i | 2.27748 | + | 0.668727i | ||||
\(266\) | −0.349256 | − | 0.764765i | −0.0214143 | − | 0.0468907i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 5.02143 | − | 5.79504i | 0.306733 | − | 0.353988i | ||||
\(269\) | −3.39779 | + | 7.44012i | −0.207167 | + | 0.453632i | −0.984483 | − | 0.175477i | \(-0.943853\pi\) |
0.777317 | + | 0.629110i | \(0.216580\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 1.92200 | + | 13.3678i | 0.116753 | + | 0.812036i | 0.961092 | + | 0.276227i | \(0.0890841\pi\) |
−0.844339 | + | 0.535809i | \(0.820007\pi\) | |||||||
\(272\) | 1.00654 | − | 0.646863i | 0.0610303 | − | 0.0392218i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 13.0955 | − | 3.84518i | 0.791127 | − | 0.232296i | ||||
\(275\) | 34.4128 | 2.07517 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 14.9697 | 0.899440 | 0.449720 | − | 0.893169i | \(-0.351524\pi\) | ||||
0.449720 | + | 0.893169i | \(0.351524\pi\) | |||||||
\(278\) | −11.1817 | + | 3.28323i | −0.670631 | + | 0.196915i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −4.07852 | + | 2.62111i | −0.243738 | + | 0.156641i | ||||
\(281\) | 3.83880 | + | 26.6994i | 0.229003 | + | 1.59275i | 0.702320 | + | 0.711861i | \(0.252147\pi\) |
−0.473317 | + | 0.880892i | \(0.656944\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 5.69920 | − | 12.4795i | 0.338783 | − | 0.741830i | −0.661182 | − | 0.750225i | \(-0.729945\pi\) |
0.999965 | + | 0.00839502i | \(0.00267225\pi\) | |||||||
\(284\) | −6.19241 | + | 7.14642i | −0.367452 | + | 0.424062i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −7.83918 | − | 17.1654i | −0.463540 | − | 1.01501i | ||||
\(287\) | −2.68330 | − | 0.787887i | −0.158390 | − | 0.0465075i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −6.46737 | − | 14.1616i | −0.380433 | − | 0.833033i | ||||
\(290\) | 3.95247 | − | 27.4900i | 0.232097 | − | 1.61427i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −0.260714 | + | 0.570883i | −0.0152571 | + | 0.0334084i | ||||
\(293\) | −7.74373 | − | 4.97659i | −0.452393 | − | 0.290736i | 0.294534 | − | 0.955641i | \(-0.404835\pi\) |
−0.746928 | + | 0.664905i | \(0.768472\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −10.6762 | + | 6.86116i | −0.621591 | + | 0.399472i | ||||
\(296\) | −0.952036 | − | 1.09871i | −0.0553360 | − | 0.0638611i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 17.3034 | 1.00236 | ||||||||
\(299\) | 8.48895 | + | 10.9326i | 0.490928 | + | 0.632247i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −3.15642 | + | 0.926809i | −0.181933 | + | 0.0534204i | ||||
\(302\) | −3.16461 | − | 3.65215i | −0.182103 | − | 0.210158i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −0.0790636 | − | 0.549899i | −0.00453461 | − | 0.0315389i | ||||
\(305\) | 24.3485 | + | 15.6478i | 1.39419 | + | 0.895991i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −1.15044 | + | 1.32767i | −0.0656588 | + | 0.0757743i | −0.787629 | − | 0.616150i | \(-0.788691\pi\) |
0.721970 | + | 0.691924i | \(0.243237\pi\) | |||||||
\(308\) | −1.40818 | + | 9.79413i | −0.0802387 | + | 0.558072i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −20.7042 | − | 6.07929i | −1.17592 | − | 0.345281i | ||||
\(311\) | 29.1330 | + | 8.55421i | 1.65198 | + | 0.485065i | 0.969347 | − | 0.245697i | \(-0.0790168\pi\) |
0.682632 | + | 0.730762i | \(0.260835\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −1.56820 | + | 10.9071i | −0.0886398 | + | 0.616503i | 0.896280 | + | 0.443489i | \(0.146260\pi\) |
−0.984919 | + | 0.173014i | \(0.944649\pi\) | |||||||
\(314\) | −3.30725 | + | 3.81677i | −0.186639 | + | 0.215393i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −11.5859 | − | 7.44578i | −0.651756 | − | 0.418858i | ||||
\(317\) | −1.44409 | − | 10.0439i | −0.0811081 | − | 0.564119i | −0.989337 | − | 0.145645i | \(-0.953474\pi\) |
0.908229 | − | 0.418474i | \(-0.137435\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −37.1193 | − | 42.8380i | −2.07828 | − | 2.39847i | ||||
\(320\) | −3.07385 | + | 0.902563i | −0.171833 | + | 0.0504548i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −0.645351 | − | 7.22896i | −0.0359640 | − | 0.402854i | ||||
\(323\) | 0.664706 | 0.0369852 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −9.94740 | − | 11.4799i | −0.551783 | − | 0.636791i | ||||
\(326\) | −3.00111 | + | 1.92870i | −0.166216 | + | 0.106821i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −1.55460 | − | 0.999080i | −0.0858384 | − | 0.0551650i | ||||
\(329\) | 7.17525 | − | 15.7116i | 0.395584 | − | 0.866209i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −4.23799 | + | 29.4759i | −0.232941 | + | 1.62014i | 0.452329 | + | 0.891851i | \(0.350593\pi\) |
−0.685270 | + | 0.728289i | \(0.740316\pi\) | |||||||
\(332\) | 6.47584 | + | 14.1801i | 0.355408 | + | 0.778235i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −4.37565 | − | 1.28481i | −0.239425 | − | 0.0703015i | ||||
\(335\) | −10.2047 | − | 22.3452i | −0.557544 | − | 1.22085i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 12.4809 | − | 14.4037i | 0.679876 | − | 0.784619i | −0.306011 | − | 0.952028i | \(-0.598995\pi\) |
0.985888 | + | 0.167409i | \(0.0535400\pi\) | |||||||
\(338\) | 1.94011 | − | 4.24825i | 0.105528 | − | 0.231074i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −0.545499 | − | 3.79403i | −0.0295838 | − | 0.205760i | ||||
\(341\) | −37.0489 | + | 23.8099i | −2.00631 | + | 1.28938i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 17.0031 | − | 4.99255i | 0.918080 | − | 0.269572i | ||||
\(344\) | −2.17379 | −0.117203 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −15.6132 | −0.839371 | ||||||||
\(347\) | −11.6990 | + | 3.43514i | −0.628036 | + | 0.184408i | −0.580235 | − | 0.814449i | \(-0.697039\pi\) |
−0.0478007 | + | 0.998857i | \(0.515221\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −12.9571 | + | 8.32704i | −0.693579 | + | 0.445736i | −0.839357 | − | 0.543581i | \(-0.817068\pi\) |
0.145778 | + | 0.989317i | \(0.453432\pi\) | |||||||
\(350\) | 1.13353 | + | 7.88385i | 0.0605896 | + | 0.421410i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −2.71616 | + | 5.94756i | −0.144772 | + | 0.317006i | ||||
\(353\) | 12.1351 | − | 14.0046i | 0.645886 | − | 0.745392i | −0.334518 | − | 0.942389i | \(-0.608574\pi\) |
0.980404 | + | 0.196997i | \(0.0631191\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 12.5844 | + | 27.5560i | 0.667912 | + | 1.46252i | ||||
\(356\) | −5.39085 | − | 1.58290i | −0.285715 | − | 0.0838934i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 2.66082 | + | 5.82639i | 0.140629 | + | 0.307934i | ||||
\(359\) | −1.67363 | + | 11.6404i | −0.0883310 | + | 0.614356i | 0.896785 | + | 0.442466i | \(0.145896\pi\) |
−0.985116 | + | 0.171890i | \(0.945013\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −7.76467 | + | 17.0023i | −0.408667 | + | 0.894856i | ||||
\(362\) | 18.6223 | + | 11.9678i | 0.978765 | + | 0.629014i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 3.67432 | − | 2.36134i | 0.192587 | − | 0.123768i | ||||
\(365\) | 1.31665 | + | 1.51950i | 0.0689167 | + | 0.0795341i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −7.81907 | −0.408152 | −0.204076 | − | 0.978955i | \(-0.565419\pi\) | ||||
−0.204076 | + | 0.978955i | \(0.565419\pi\) | |||||||
\(368\) | 0.936621 | − | 4.70348i | 0.0488247 | − | 0.245186i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −4.46876 | + | 1.31215i | −0.232320 | + | 0.0682152i | ||||
\(371\) | 11.9531 | + | 13.7946i | 0.620572 | + | 0.716179i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −0.304293 | − | 2.11640i | −0.0157557 | − | 0.109583i | 0.980426 | − | 0.196888i | \(-0.0630836\pi\) |
−0.996182 | + | 0.0873051i | \(0.972175\pi\) | |||||||
\(374\) | −6.58118 | − | 4.22946i | −0.340304 | − | 0.218700i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 7.47426 | − | 8.62575i | 0.385455 | − | 0.444839i | ||||
\(377\) | −3.56076 | + | 24.7656i | −0.183389 | + | 1.27550i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 20.7946 | + | 6.10585i | 1.06815 | + | 0.313636i | 0.768128 | − | 0.640297i | \(-0.221189\pi\) |
0.300019 | + | 0.953933i | \(0.403007\pi\) | |||||||
\(380\) | −1.70769 | − | 0.501423i | −0.0876026 | − | 0.0257224i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 0.305856 | − | 2.12727i | 0.0156489 | − | 0.108841i | ||||
\(383\) | 3.28069 | − | 3.78612i | 0.167635 | − | 0.193462i | −0.665716 | − | 0.746205i | \(-0.731874\pi\) |
0.833351 | + | 0.552744i | \(0.186419\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 26.6671 | + | 17.1379i | 1.35908 | + | 0.873430i | ||||
\(386\) | −1.60048 | − | 11.1316i | −0.0814620 | − | 0.566581i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 4.74595 | + | 5.47712i | 0.240939 | + | 0.278059i | ||||
\(389\) | −5.77784 | + | 1.69653i | −0.292948 | + | 0.0860174i | −0.424905 | − | 0.905238i | \(-0.639692\pi\) |
0.131956 | + | 0.991256i | \(0.457874\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 5.41083 | + | 1.91013i | 0.273637 | + | 0.0965992i | ||||
\(392\) | 4.70981 | 0.237881 | ||||||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −6.81874 | − | 7.86925i | −0.343523 | − | 0.396447i | ||||
\(395\) | −37.1166 | + | 23.8534i | −1.86754 | + | 1.20020i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 20.1916 | + | 12.9763i | 1.01339 | + | 0.651263i | 0.938267 | − | 0.345911i | \(-0.112430\pi\) |
0.0751183 | + | 0.997175i | \(0.476067\pi\) | |||||||
\(398\) | −6.27267 | + | 13.7352i | −0.314421 | + | 0.688485i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −0.749025 | + | 5.20958i | −0.0374512 | + | 0.260479i | ||||
\(401\) | 6.01379 | + | 13.1684i | 0.300314 | + | 0.657596i | 0.998286 | − | 0.0585293i | \(-0.0186411\pi\) |
−0.697972 | + | 0.716125i | \(0.745914\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 18.6523 | + | 5.47681i | 0.929137 | + | 0.272819i | ||||
\(404\) | 0.425292 | + | 0.931260i | 0.0211591 | + | 0.0463319i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 8.59137 | − | 9.91497i | 0.426383 | − | 0.492072i | ||||
\(407\) | −3.94875 | + | 8.64657i | −0.195733 | + | 0.428594i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 4.64566 | + | 32.3112i | 0.229713 | + | 1.59769i | 0.699317 | + | 0.714811i | \(0.253487\pi\) |
−0.469604 | + | 0.882877i | \(0.655603\pi\) | |||||||
\(410\) | −4.98034 | + | 3.20067i | −0.245961 | + | 0.158070i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −4.36497 | + | 1.28167i | −0.215047 | + | 0.0631434i | ||||
\(413\) | −5.99493 | −0.294991 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 49.9407 | 2.45149 | ||||||||
\(416\) | 2.76921 | − | 0.813115i | 0.135772 | − | 0.0398662i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −3.05581 | + | 1.96385i | −0.149465 | + | 0.0960551i | ||||
\(419\) | −5.15788 | − | 35.8738i | −0.251979 | − | 1.75255i | −0.586302 | − | 0.810092i | \(-0.699417\pi\) |
0.334324 | − | 0.942458i | \(-0.391492\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 2.90196 | − | 6.35441i | 0.141433 | − | 0.309695i | −0.825639 | − | 0.564199i | \(-0.809185\pi\) |
0.967072 | + | 0.254504i | \(0.0819123\pi\) | |||||||
\(422\) | 7.51967 | − | 8.67816i | 0.366052 | − | 0.422446i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 5.01045 | + | 10.9714i | 0.243329 | + | 0.532816i | ||||
\(425\) | −6.04214 | − | 1.77413i | −0.293087 | − | 0.0860581i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 5.67966 | + | 12.4367i | 0.274858 | + | 0.601855i | ||||
\(428\) | −0.0858140 | + | 0.596849i | −0.00414798 | + | 0.0288498i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −2.89294 | + | 6.33466i | −0.139510 | + | 0.305485i | ||||
\(431\) | 28.0183 | + | 18.0063i | 1.34959 | + | 0.867331i | 0.997638 | − | 0.0686858i | \(-0.0218806\pi\) |
0.351955 | + | 0.936017i | \(0.385517\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −18.1413 | + | 11.6587i | −0.871816 | + | 0.560282i | −0.898308 | − | 0.439367i | \(-0.855203\pi\) |
0.0264914 | + | 0.999649i | \(0.491567\pi\) | |||||||
\(434\) | −6.67514 | − | 7.70352i | −0.320417 | − | 0.369781i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −5.87577 | −0.281398 | ||||||||
\(437\) | 1.85046 | − | 1.91691i | 0.0885193 | − | 0.0916982i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −16.5410 | + | 4.85686i | −0.789457 | + | 0.231805i | −0.651516 | − | 0.758635i | \(-0.725867\pi\) |
−0.137941 | + | 0.990440i | \(0.544048\pi\) | |||||||
\(440\) | 13.7171 | + | 15.8304i | 0.653938 | + | 0.754684i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 0.491437 | + | 3.41802i | 0.0233753 | + | 0.162579i | ||||
\(443\) | −15.9136 | − | 10.2271i | −0.756080 | − | 0.485903i | 0.104937 | − | 0.994479i | \(-0.466536\pi\) |
−0.861017 | + | 0.508576i | \(0.830172\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −11.7870 | + | 13.6030i | −0.558760 | + | 0.644843i | ||||
\(446\) | −2.24948 | + | 15.6454i | −0.106516 | + | 0.740833i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −1.45204 | − | 0.426356i | −0.0686023 | − | 0.0201434i | ||||
\(449\) | 22.1174 | + | 6.49424i | 1.04378 | + | 0.306482i | 0.758303 | − | 0.651902i | \(-0.226029\pi\) |
0.285480 | + | 0.958385i | \(0.407847\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −1.71955 | + | 11.9597i | −0.0809705 | + | 0.563162i | ||||
\(452\) | 8.05979 | − | 9.30149i | 0.379101 | − | 0.437505i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −2.18279 | − | 1.40280i | −0.102444 | − | 0.0658365i | ||||
\(455\) | −1.99132 | − | 13.8499i | −0.0933545 | − | 0.649295i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −9.94760 | − | 11.4801i | −0.465329 | − | 0.537019i | 0.473777 | − | 0.880645i | \(-0.342890\pi\) |
−0.939107 | + | 0.343626i | \(0.888345\pi\) | |||||||
\(458\) | 9.58892 | − | 2.81556i | 0.448061 | − | 0.131563i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −12.4600 | − | 8.98895i | −0.580950 | − | 0.419112i | ||||
\(461\) | −19.2440 | −0.896281 | −0.448141 | − | 0.893963i | \(-0.647914\pi\) | ||||
−0.448141 | + | 0.893963i | \(0.647914\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 1.98580 | + | 2.29173i | 0.0922878 | + | 0.106506i | 0.800015 | − | 0.599980i | \(-0.204825\pi\) |
−0.707727 | + | 0.706486i | \(0.750279\pi\) | |||||||
\(464\) | 7.29298 | − | 4.68691i | 0.338568 | − | 0.217584i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −22.9618 | − | 14.7567i | −1.06369 | − | 0.683590i | ||||
\(467\) | −1.18398 | + | 2.59256i | −0.0547882 | + | 0.119969i | −0.935046 | − | 0.354526i | \(-0.884642\pi\) |
0.880258 | + | 0.474495i | \(0.157369\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 1.65145 | − | 11.4861i | 0.0762567 | − | 0.530377i | ||||
\(470\) | −15.1894 | − | 33.2602i | −0.700637 | − | 1.53418i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −3.80093 | − | 1.11605i | −0.174952 | − | 0.0513706i | ||||
\(473\) | 5.90436 | + | 12.9287i | 0.271483 | + | 0.594465i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −1.91479 | + | 2.20979i | −0.0878566 | + | 0.101392i | ||||
\(476\) | 0.752179 | − | 1.64704i | 0.0344761 | − | 0.0754920i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −2.03776 | − | 14.1729i | −0.0932050 | − | 0.648255i | ||||
\(479\) | −31.3457 | + | 20.1447i | −1.43222 | + | 0.920433i | −0.432398 | + | 0.901683i | \(0.642332\pi\) |
−0.999824 | + | 0.0187506i | \(0.994031\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 4.02588 | − | 1.18211i | 0.183564 | − | 0.0538994i | ||||
\(482\) | −14.1957 | −0.646598 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 31.7511 | 1.44323 | ||||||||
\(485\) | 22.2770 | − | 6.54111i | 1.01155 | − | 0.297017i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −25.8648 | + | 16.6223i | −1.17204 | + | 0.753227i | −0.973907 | − | 0.226947i | \(-0.927126\pi\) |
−0.198137 | + | 0.980174i | \(0.563489\pi\) | |||||||
\(488\) | 1.28574 | + | 8.94254i | 0.0582029 | + | 0.404810i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 6.26796 | − | 13.7249i | 0.283157 | − | 0.620028i | ||||
\(491\) | 5.11770 | − | 5.90614i | 0.230959 | − | 0.266540i | −0.628427 | − | 0.777869i | \(-0.716301\pi\) |
0.859386 | + | 0.511328i | \(0.170846\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 4.30887 | + | 9.43510i | 0.194062 | + | 0.424936i | ||||
\(494\) | 1.53845 | + | 0.451729i | 0.0692181 | + | 0.0203243i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −2.79806 | − | 6.12691i | −0.125637 | − | 0.275106i | ||||
\(497\) | −2.03656 | + | 14.1646i | −0.0913520 | + | 0.635367i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 5.38364 | − | 11.7885i | 0.241005 | − | 0.527727i | −0.750018 | − | 0.661417i | \(-0.769955\pi\) |
0.991023 | + | 0.133690i | \(0.0426827\pi\) | |||||||
\(500\) | 0.709211 | + | 0.455783i | 0.0317169 | + | 0.0203832i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 10.0652 | − | 6.46851i | 0.449232 | − | 0.288704i | ||||
\(503\) | 12.8552 | + | 14.8357i | 0.573184 | + | 0.661489i | 0.966125 | − | 0.258074i | \(-0.0830879\pi\) |
−0.392941 | + | 0.919564i | \(0.628542\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 3.27979 | 0.145949 | ||||||||
\(506\) | −30.5183 | + | 7.20480i | −1.35670 | + | 0.320293i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −8.51054 | + | 2.49892i | −0.377594 | + | 0.110872i | ||||
\(509\) | 4.09448 | + | 4.72528i | 0.181484 | + | 0.209444i | 0.839201 | − | 0.543821i | \(-0.183023\pi\) |
−0.657717 | + | 0.753265i | \(0.728478\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 0.135166 | + | 0.940100i | 0.00597939 | + | 0.0415876i | ||||
\(512\) | −0.841254 | − | 0.540641i | −0.0371785 | − | 0.0238932i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −17.0242 | + | 19.6470i | −0.750907 | + | 0.866592i | ||||
\(515\) | −2.07410 | + | 14.4257i | −0.0913958 | + | 0.635672i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −71.6035 | − | 21.0247i | −3.14912 | − | 0.924665i | ||||
\(518\) | −2.11097 | − | 0.619837i | −0.0927507 | − | 0.0272341i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 1.31585 | − | 9.15192i | 0.0577037 | − | 0.401338i | ||||
\(521\) | 15.7103 | − | 18.1307i | 0.688283 | − | 0.794321i | −0.298837 | − | 0.954304i | \(-0.596599\pi\) |
0.987120 | + | 0.159984i | \(0.0511441\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −6.24846 | − | 4.01564i | −0.273226 | − | 0.175592i | 0.396852 | − | 0.917883i | \(-0.370103\pi\) |
−0.670077 | + | 0.742291i | \(0.733739\pi\) | |||||||
\(524\) | 1.78441 | + | 12.4108i | 0.0779523 | + | 0.542170i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −3.76064 | − | 4.34001i | −0.163972 | − | 0.189233i | ||||
\(527\) | 7.73251 | − | 2.27047i | 0.336833 | − | 0.0989032i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 20.5716 | − | 10.2864i | 0.894416 | − | 0.447237i | ||||
\(530\) | 38.6398 | 1.67841 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −0.550568 | − | 0.635389i | −0.0238702 | − | 0.0275476i | ||||
\(533\) | 4.48676 | − | 2.88347i | 0.194343 | − | 0.124897i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 1.62508 | + | 1.04438i | 0.0702584 | + | 0.0451523i | ||||
\(536\) | 3.18538 | − | 6.97500i | 0.137587 | − | 0.301274i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −1.16403 | + | 8.09601i | −0.0501849 | + | 0.349044i | ||||
\(539\) | −12.7926 | − | 28.0119i | −0.551017 | − | 1.20656i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −19.6113 | − | 5.75840i | −0.843157 | − | 0.247573i | −0.168497 | − | 0.985702i | \(-0.553891\pi\) |
−0.674660 | + | 0.738129i | \(0.735710\pi\) | |||||||
\(542\) | 5.61029 | + | 12.2848i | 0.240982 | + | 0.527678i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 0.783524 | − | 0.904235i | 0.0335933 | − | 0.0387687i | ||||
\(545\) | −7.81964 | + | 17.1226i | −0.334957 | + | 0.733453i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 1.32499 | + | 9.21550i | 0.0566524 | + | 0.394026i | 0.998343 | + | 0.0575459i | \(0.0183275\pi\) |
−0.941690 | + | 0.336481i | \(0.890763\pi\) | |||||||
\(548\) | 11.4817 | − | 7.37884i | 0.490474 | − | 0.315209i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 33.0188 | − | 9.69519i | 1.40793 | − | 0.413404i | ||||
\(551\) | 4.81620 | 0.205177 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −20.8419 | −0.886287 | ||||||||
\(554\) | 14.3633 | − | 4.21744i | 0.610238 | − | 0.179182i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −9.80372 | + | 6.30047i | −0.415771 | + | 0.267199i | ||||
\(557\) | −4.54281 | − | 31.5960i | −0.192485 | − | 1.33876i | −0.825402 | − | 0.564545i | \(-0.809052\pi\) |
0.632917 | − | 0.774219i | \(-0.281857\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 2.60624 | − | 5.70687i | 0.110232 | − | 0.241375i | ||||
\(560\) | −3.17486 | + | 3.66399i | −0.134162 | + | 0.154832i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 11.2054 | + | 24.5364i | 0.472671 | + | 1.03500i | ||||
\(563\) | −16.1686 | − | 4.74754i | −0.681427 | − | 0.200085i | −0.0773416 | − | 0.997005i | \(-0.524643\pi\) |
−0.604085 | + | 0.796920i | \(0.706461\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −16.3794 | − | 35.8658i | −0.689085 | − | 1.50889i | ||||
\(566\) | 1.95246 | − | 13.5797i | 0.0820680 | − | 0.570796i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −3.92819 | + | 8.60154i | −0.164823 | + | 0.360913i | ||||
\(569\) | 1.83549 | + | 1.17960i | 0.0769478 | + | 0.0494513i | 0.578549 | − | 0.815648i | \(-0.303619\pi\) |
−0.501601 | + | 0.865099i | \(0.667256\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −7.55227 | + | 4.85355i | −0.316053 | + | 0.203115i | −0.689043 | − | 0.724721i | \(-0.741969\pi\) |
0.372990 | + | 0.927835i | \(0.378332\pi\) | |||||||
\(572\) | −12.3577 | − | 14.2615i | −0.516701 | − | 0.596305i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −2.79658 | −0.116727 | ||||||||
\(575\) | −21.9369 | + | 12.4856i | −0.914831 | + | 0.520687i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 39.5160 | − | 11.6029i | 1.64507 | − | 0.483037i | 0.677477 | − | 0.735544i | \(-0.263073\pi\) |
0.967595 | + | 0.252508i | \(0.0812553\pi\) | |||||||
\(578\) | −10.1952 | − | 11.7658i | −0.424063 | − | 0.489395i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −3.95247 | − | 27.4900i | −0.164117 | − | 1.14146i | ||||
\(581\) | 19.8462 | + | 12.7544i | 0.823358 | + | 0.529140i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 51.6437 | − | 59.6000i | 2.13886 | − | 2.46838i | ||||
\(584\) | −0.0893165 | + | 0.621210i | −0.00369594 | + | 0.0257059i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −8.83212 | − | 2.59334i | −0.364851 | − | 0.107130i | ||||
\(587\) | 9.22184 | + | 2.70778i | 0.380626 | + | 0.111762i | 0.466448 | − | 0.884549i | \(-0.345533\pi\) |
−0.0858220 | + | 0.996310i | \(0.527352\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 0.532540 | − | 3.70390i | 0.0219429 | − | 0.152616i | ||||
\(590\) | −8.31070 | + | 9.59106i | −0.342146 | + | 0.394858i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −1.22301 | − | 0.785983i | −0.0502656 | − | 0.0323037i | ||||
\(593\) | −5.18844 | − | 36.0864i | −0.213064 | − | 1.48189i | −0.762845 | − | 0.646581i | \(-0.776198\pi\) |
0.549781 | − | 0.835309i | \(-0.314711\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −3.79864 | − | 4.38386i | −0.155729 | − | 0.179721i | ||||
\(596\) | 16.6025 | − | 4.87494i | 0.680066 | − | 0.199685i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 11.2251 | + | 8.09811i | 0.459030 | + | 0.331156i | ||||
\(599\) | 6.93439 | 0.283331 | 0.141666 | − | 0.989915i | \(-0.454754\pi\) | ||||
0.141666 | + | 0.989915i | \(0.454754\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −10.9824 | − | 12.6744i | −0.447983 | − | 0.517000i | 0.486174 | − | 0.873862i | \(-0.338392\pi\) |
−0.934157 | + | 0.356862i | \(0.883847\pi\) | |||||||
\(602\) | −2.76745 | + | 1.77853i | −0.112793 | + | 0.0724876i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −4.06535 | − | 2.61264i | −0.165417 | − | 0.106307i | ||||
\(605\) | 42.2553 | − | 92.5261i | 1.71792 | − | 3.76172i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 1.54717 | − | 10.7608i | 0.0627977 | − | 0.436768i | −0.934031 | − | 0.357192i | \(-0.883734\pi\) |
0.996829 | − | 0.0795759i | \(-0.0253566\pi\) | |||||||
\(608\) | −0.230786 | − | 0.505350i | −0.00935959 | − | 0.0204946i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 27.7707 | + | 8.15420i | 1.12440 | + | 0.330154i | ||||
\(611\) | 13.6841 | + | 29.9640i | 0.553599 | + | 1.21221i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −13.5856 | + | 15.6786i | −0.548717 | + | 0.633253i | −0.960584 | − | 0.277991i | \(-0.910331\pi\) |
0.411867 | + | 0.911244i | \(0.364877\pi\) | |||||||
\(614\) | −0.729786 | + | 1.59801i | −0.0294518 | + | 0.0644903i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 1.40818 | + | 9.79413i | 0.0567373 | + | 0.394617i | ||||
\(617\) | −2.60245 | + | 1.67249i | −0.104771 | + | 0.0673321i | −0.591977 | − | 0.805955i | \(-0.701652\pi\) |
0.487206 | + | 0.873287i | \(0.338016\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 12.4859 | − | 3.66620i | 0.501851 | − | 0.147357i | −0.0210022 | − | 0.999779i | \(-0.506686\pi\) |
0.522853 | + | 0.852423i | \(0.324868\pi\) | |||||||
\(620\) | −21.5782 | −0.866603 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 30.3629 | 1.21744 | ||||||||
\(623\) | −8.15818 | + | 2.39546i | −0.326850 | + | 0.0959720i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −19.8662 | + | 12.7672i | −0.794648 | + | 0.510689i | ||||
\(626\) | 1.56820 | + | 10.9071i | 0.0626778 | + | 0.435934i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −2.09798 | + | 4.59393i | −0.0837183 | + | 0.183318i | ||||
\(629\) | 1.13909 | − | 1.31458i | 0.0454184 | − | 0.0524156i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 4.08060 | + | 8.93527i | 0.162446 | + | 0.355707i | 0.973298 | − | 0.229544i | \(-0.0737233\pi\) |
−0.810852 | + | 0.585251i | \(0.800996\pi\) | |||||||
\(632\) | −13.2143 | − | 3.88006i | −0.525635 | − | 0.154340i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −4.21527 | − | 9.23016i | −0.167410 | − | 0.366577i | ||||
\(635\) | −4.04395 | + | 28.1263i | −0.160479 | + | 1.11616i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −5.64677 | + | 12.3647i | −0.223733 | + | 0.489908i | ||||
\(638\) | −47.6846 | − | 30.6450i | −1.88785 | − | 1.21325i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −2.69505 | + | 1.73201i | −0.106531 | + | 0.0684635i | ||||
\(641\) | 8.92969 | + | 10.3054i | 0.352702 | + | 0.407039i | 0.904181 | − | 0.427149i | \(-0.140482\pi\) |
−0.551480 | + | 0.834188i | \(0.685937\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 3.57857 | 0.141125 | 0.0705626 | − | 0.997507i | \(-0.477521\pi\) | ||||
0.0705626 | + | 0.997507i | \(0.477521\pi\) | |||||||
\(644\) | −2.65584 | − | 6.75432i | −0.104655 | − | 0.266158i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0.637781 | − | 0.187269i | 0.0250931 | − | 0.00736801i | ||||
\(647\) | −17.1896 | − | 19.8379i | −0.675793 | − | 0.779906i | 0.309478 | − | 0.950907i | \(-0.399846\pi\) |
−0.985271 | + | 0.171000i | \(0.945300\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 3.68614 | + | 25.6377i | 0.144694 | + | 1.00637i | ||||
\(650\) | −12.7787 | − | 8.21239i | −0.501223 | − | 0.322116i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −2.33617 | + | 2.69608i | −0.0914915 | + | 0.105587i | ||||
\(653\) | 3.66305 | − | 25.4771i | 0.143346 | − | 0.996994i | −0.783457 | − | 0.621446i | \(-0.786545\pi\) |
0.926803 | − | 0.375548i | \(-0.122546\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 38.5413 | + | 11.3167i | 1.50593 | + | 0.442182i | ||||
\(656\) | −1.77310 | − | 0.520629i | −0.0692279 | − | 0.0203272i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 2.45813 | − | 17.0967i | 0.0958279 | − | 0.666498i | ||||
\(659\) | −6.67928 | + | 7.70831i | −0.260188 | + | 0.300273i | −0.870780 | − | 0.491672i | \(-0.836386\pi\) |
0.610592 | + | 0.791945i | \(0.290931\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −25.1993 | − | 16.1946i | −0.980140 | − | 0.629897i | −0.0506386 | − | 0.998717i | \(-0.516126\pi\) |
−0.929501 | + | 0.368820i | \(0.879762\pi\) | |||||||
\(662\) | 4.23799 | + | 29.4759i | 0.164714 | + | 1.14561i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 10.2085 | + | 11.7813i | 0.396168 | + | 0.457202i | ||||
\(665\) | −2.58431 | + | 0.758821i | −0.100215 | + | 0.0294258i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 39.2047 | + | 13.8400i | 1.51801 | + | 0.535888i | ||||
\(668\) | −4.56038 | −0.176446 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −16.0867 | − | 18.5651i | −0.621485 | − | 0.717232i | ||||
\(671\) | 49.6941 | − | 31.9364i | 1.91842 | − | 1.23289i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −1.70536 | − | 1.09597i | −0.0657367 | − | 0.0422464i | 0.507360 | − | 0.861734i | \(-0.330622\pi\) |
−0.573096 | + | 0.819488i | \(0.694258\pi\) | |||||||
\(674\) | 7.91732 | − | 17.3365i | 0.304964 | − | 0.667777i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 0.664652 | − | 4.62276i | 0.0255636 | − | 0.177798i | ||||
\(677\) | −1.02323 | − | 2.24056i | −0.0393259 | − | 0.0861116i | 0.888950 | − | 0.458005i | \(-0.151436\pi\) |
−0.928275 | + | 0.371894i | \(0.878709\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 10.5233 | + | 3.08992i | 0.403847 | + | 0.118580i | ||||
\(680\) | −1.59230 | − | 3.48666i | −0.0610620 | − | 0.133707i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −28.8402 | + | 33.2833i | −1.10435 | + | 1.27448i | ||||
\(683\) | 12.5872 | − | 27.5621i | 0.481635 | − | 1.05463i | −0.500376 | − | 0.865808i | \(-0.666805\pi\) |
0.982011 | − | 0.188825i | \(-0.0604678\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −6.22257 | − | 43.2790i | −0.237752 | − | 1.65360i | ||||
\(686\) | 14.9078 | − | 9.58064i | 0.569181 | − | 0.365790i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −2.08574 | + | 0.612427i | −0.0795179 | + | 0.0233486i | ||||
\(689\) | −34.8104 | −1.32617 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −1.71993 | −0.0654294 | −0.0327147 | − | 0.999465i | \(-0.510415\pi\) | ||||
−0.0327147 | + | 0.999465i | \(0.510415\pi\) | |||||||
\(692\) | −14.9808 | + | 4.39875i | −0.569483 | + | 0.167215i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −10.2573 | + | 6.59199i | −0.389363 | + | 0.250228i | ||||
\(695\) | 5.31318 | + | 36.9540i | 0.201541 | + | 1.40175i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 0.918495 | − | 2.01122i | 0.0347905 | − | 0.0761805i | ||||
\(698\) | −10.0863 | + | 11.6402i | −0.381771 | + | 0.440587i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 3.30875 | + | 7.24515i | 0.125059 | + | 0.273841i | ||||
\(701\) | −0.709124 | − | 0.208218i | −0.0267833 | − | 0.00786427i | 0.268313 | − | 0.963332i | \(-0.413534\pi\) |
−0.295097 | + | 0.955467i | \(0.595352\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −0.335516 | − | 0.734677i | −0.0126542 | − | 0.0277089i | ||||
\(704\) | −0.930515 | + | 6.47188i | −0.0350701 | + | 0.243918i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 7.69797 | − | 16.8562i | 0.289717 | − | 0.634392i | ||||
\(707\) | 1.30337 | + | 0.837626i | 0.0490183 | + | 0.0315022i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 18.9971 | − | 12.2087i | 0.713451 | − | 0.458507i | −0.132902 | − | 0.991129i | \(-0.542430\pi\) |
0.846353 | + | 0.532622i | \(0.178793\pi\) | |||||||
\(710\) | 19.8381 | + | 22.8944i | 0.744510 | + | 0.859211i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −5.61844 | −0.210560 | ||||||||
\(713\) | 14.9786 | − | 28.6201i | 0.560954 | − | 1.07183i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −58.0057 | + | 17.0320i | −2.16929 | + | 0.636961i | ||||
\(716\) | 4.19452 | + | 4.84074i | 0.156757 | + | 0.180907i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 1.67363 | + | 11.6404i | 0.0624595 | + | 0.434415i | ||||
\(719\) | −9.21249 | − | 5.92051i | −0.343568 | − | 0.220798i | 0.357465 | − | 0.933926i | \(-0.383641\pi\) |
−0.701033 | + | 0.713129i | \(0.747277\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −4.50842 | + | 5.20299i | −0.167902 | + | 0.193769i | ||||
\(722\) | −2.66006 | + | 18.5011i | −0.0989971 | + | 0.688540i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 21.2397 | + | 6.23653i | 0.789366 | + | 0.231779i | ||||
\(725\) | −43.7790 | − | 12.8547i | −1.62591 | − | 0.477410i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −5.30540 | + | 36.8999i | −0.196766 | + | 1.36854i | 0.616824 | + | 0.787101i | \(0.288419\pi\) |
−0.813590 | + | 0.581439i | \(0.802490\pi\) | |||||||
\(728\) | 2.86022 | − | 3.30087i | 0.106007 | − | 0.122338i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 1.69141 | + | 1.08700i | 0.0626019 | + | 0.0402318i | ||||
\(731\) | −0.370144 | − | 2.57441i | −0.0136903 | − | 0.0952179i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −21.0216 | − | 24.2602i | −0.776449 | − | 0.896070i | 0.220399 | − | 0.975410i | \(-0.429264\pi\) |
−0.996848 | + | 0.0793401i | \(0.974719\pi\) | |||||||
\(734\) | −7.50235 | + | 2.20289i | −0.276917 | + | 0.0813101i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −0.426443 | − | 4.77683i | −0.0157189 | − | 0.176076i | ||||
\(737\) | −50.1363 | −1.84679 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −24.5623 | − | 28.3464i | −0.903537 | − | 1.04274i | −0.998881 | − | 0.0472931i | \(-0.984941\pi\) |
0.0953439 | − | 0.995444i | \(-0.469605\pi\) | |||||||
\(740\) | −3.91807 | + | 2.51799i | −0.144031 | + | 0.0925631i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 15.3553 | + | 9.86823i | 0.563709 | + | 0.362274i | ||||
\(743\) | −13.2431 | + | 28.9983i | −0.485841 | + | 1.06384i | 0.494975 | + | 0.868907i | \(0.335177\pi\) |
−0.980816 | + | 0.194936i | \(0.937550\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 7.88901 | − | 54.8693i | 0.289031 | − | 2.01026i | ||||
\(746\) | −0.888226 | − | 1.94494i | −0.0325203 | − | 0.0712094i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −7.50617 | − | 2.20401i | −0.274453 | − | 0.0805866i | ||||
\(749\) | 0.379076 | + | 0.830060i | 0.0138511 | + | 0.0303297i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 11.7544 | − | 13.5652i | 0.428923 | − | 0.495003i | −0.499612 | − | 0.866249i | \(-0.666524\pi\) |
0.928534 | + | 0.371246i | \(0.121069\pi\) | |||||||
\(752\) | 4.74134 | − | 10.3821i | 0.172899 | − | 0.378596i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 3.56076 | + | 24.7656i | 0.129675 | + | 0.901911i | ||||
\(755\) | −13.0238 | + | 8.36990i | −0.473985 | + | 0.304612i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 10.5177 | − | 3.08827i | 0.382271 | − | 0.112245i | −0.0849504 | − | 0.996385i | \(-0.527073\pi\) |
0.467222 | + | 0.884140i | \(0.345255\pi\) | |||||||
\(758\) | 21.6725 | 0.787180 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −1.77978 | −0.0645595 | ||||||||
\(761\) | −0.351035 | + | 0.103073i | −0.0127250 | + | 0.00373640i | −0.288089 | − | 0.957604i | \(-0.593020\pi\) |
0.275364 | + | 0.961340i | \(0.411202\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −7.48044 | + | 4.80739i | −0.270810 | + | 0.174039i | ||||
\(764\) | −0.305856 | − | 2.12727i | −0.0110655 | − | 0.0769620i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 2.08113 | − | 4.55703i | 0.0751942 | − | 0.164652i | ||||
\(767\) | 7.48708 | − | 8.64055i | 0.270343 | − | 0.311992i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 0.127106 | + | 0.278324i | 0.00458358 | + | 0.0100366i | 0.911910 | − | 0.410390i | \(-0.134608\pi\) |
−0.907326 | + | 0.420427i | \(0.861880\pi\) | |||||||
\(770\) | 30.4152 | + | 8.93072i | 1.09609 | + | 0.321841i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −4.67176 | − | 10.2297i | −0.168140 | − | 0.368176i | ||||
\(773\) | −0.502419 | + | 3.49440i | −0.0180708 | + | 0.125685i | −0.996860 | − | 0.0791853i | \(-0.974768\pi\) |
0.978789 | + | 0.204870i | \(0.0656772\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −14.7266 | + | 32.2468i | −0.528997 | + | 1.15834i | ||||
\(776\) | 6.09679 | + | 3.91817i | 0.218862 | + | 0.140654i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −5.06583 | + | 3.25561i | −0.181619 | + | 0.116719i | ||||
\(779\) | −0.672306 | − | 0.775882i | −0.0240879 | − | 0.0277989i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 61.8278 | 2.21237 | ||||||||
\(782\) | 5.72980 | + | 0.308346i | 0.204897 | + | 0.0110264i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 4.51903 | − | 1.32691i | 0.161394 | − | 0.0473895i | ||||
\(785\) | 10.5952 | + | 12.2275i | 0.378157 | + | 0.436417i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 0.320128 | + | 2.22654i | 0.0114113 | + | 0.0793675i | 0.994731 | − | 0.102517i | \(-0.0326895\pi\) |
−0.983320 | + | 0.181884i | \(0.941780\pi\) | |||||||
\(788\) | −8.75956 | − | 5.62943i | −0.312046 | − | 0.200540i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −28.8929 | + | 33.3442i | −1.02796 | + | 1.18633i | ||||
\(791\) | 2.65070 | − | 18.4360i | 0.0942480 | − | 0.655510i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −25.0185 | − | 7.34609i | −0.888432 | − | 0.260867i | ||||
\(794\) | 23.0295 | + | 6.76208i | 0.817287 | + | 0.239977i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −2.14892 | + | 14.9461i | −0.0761665 | + | 0.529750i | ||||
\(797\) | −25.9779 | + | 29.9801i | −0.920185 | + | 1.06195i | 0.0777020 | + | 0.996977i | \(0.475242\pi\) |
−0.997887 | + | 0.0649735i | \(0.979304\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 11.4881 | + | 7.38297i | 0.406421 | + | 0.261191i | ||||
\(800\) | 0.749025 | + | 5.20958i | 0.0264820 | + | 0.184187i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 9.48014 | + | 10.9407i | 0.334755 | + | 0.386328i | ||||
\(803\) | 3.93728 | − | 1.15609i | 0.138944 | − | 0.0407976i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −23.2173 | − | 1.24943i | −0.818303 | − | 0.0440366i | ||||
\(806\) | 19.4397 | 0.684735 | ||||||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 0.670431 | + | 0.773719i | 0.0235857 | + | 0.0272193i | ||||
\(809\) | 32.3796 | − | 20.8091i | 1.13841 | − | 0.731610i | 0.171110 | − | 0.985252i | \(-0.445265\pi\) |
0.967298 | + | 0.253642i | \(0.0816284\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −12.1468 | − | 7.80630i | −0.426533 | − | 0.274116i | 0.309713 | − | 0.950830i | \(-0.399767\pi\) |
−0.736246 | + | 0.676714i | \(0.763403\pi\) | |||||||
\(812\) | 5.44999 | − | 11.9338i | 0.191257 | − | 0.418795i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −1.35278 | + | 9.40881i | −0.0474150 | + | 0.329779i | ||||
\(815\) | 4.74764 | + | 10.3959i | 0.166303 | + | 0.364152i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −1.15874 | − | 0.340236i | −0.0405391 | − | 0.0119034i | ||||
\(818\) | 13.5606 | + | 29.6936i | 0.474135 | + | 1.03821i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −3.87687 | + | 4.47414i | −0.135386 | + | 0.156244i | ||||
\(821\) | −12.1602 | + | 26.6271i | −0.424393 | + | 0.929291i | 0.569810 | + | 0.821776i | \(0.307017\pi\) |
−0.994203 | + | 0.107515i | \(0.965711\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 2.37652 | + | 16.5290i | 0.0828401 | + | 0.576166i | 0.988391 | + | 0.151929i | \(0.0485485\pi\) |
−0.905551 | + | 0.424237i | \(0.860542\pi\) | |||||||
\(824\) | −3.82707 | + | 2.45951i | −0.133322 | + | 0.0856810i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −5.75209 | + | 1.68897i | −0.200141 | + | 0.0587667i | ||||
\(827\) | 20.3196 | 0.706582 | 0.353291 | − | 0.935514i | \(-0.385063\pi\) | ||||
0.353291 | + | 0.935514i | \(0.385063\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 0.285271 | 0.00990788 | 0.00495394 | − | 0.999988i | \(-0.498423\pi\) | ||||
0.00495394 | + | 0.999988i | \(0.498423\pi\) | |||||||
\(830\) | 47.9177 | − | 14.0699i | 1.66325 | − | 0.488374i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 2.42796 | − | 1.56036i | 0.0841744 | − | 0.0540956i | ||||
\(833\) | 0.801968 | + | 5.57781i | 0.0277865 | + | 0.193260i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −6.06909 | + | 13.2894i | −0.210029 | + | 0.459900i | ||||
\(836\) | −2.37875 | + | 2.74522i | −0.0822708 | + | 0.0949456i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −15.0558 | − | 32.9675i | −0.520093 | − | 1.13884i | ||||
\(839\) | −23.4619 | − | 6.88905i | −0.809996 | − | 0.237836i | −0.149593 | − | 0.988748i | \(-0.547796\pi\) |
−0.660403 | + | 0.750911i | \(0.729615\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 19.1733 | + | 41.9837i | 0.661149 | + | 1.44771i | ||||
\(842\) | 0.994168 | − | 6.91459i | 0.0342613 | − | 0.238293i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 4.77015 | − | 10.4452i | 0.164195 | − | 0.359537i | ||||
\(845\) | −12.5867 | − | 8.08898i | −0.432995 | − | 0.278269i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 40.4223 | − | 25.9778i | 1.38893 | − | 0.892608i | ||||
\(848\) | 7.89848 | + | 9.11533i | 0.271235 | + | 0.313022i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −6.29722 | −0.215993 | ||||||||
\(851\) | −0.619962 | − | 6.94456i | −0.0212520 | − | 0.238056i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −27.7862 | + | 8.15876i | −0.951381 | + | 0.279351i | −0.720362 | − | 0.693599i | \(-0.756024\pi\) |
−0.231019 | + | 0.972949i | \(0.574206\pi\) | |||||||
\(854\) | 8.95342 | + | 10.3328i | 0.306380 | + | 0.353581i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 0.0858140 | + | 0.596849i | 0.00293306 | + | 0.0203999i | ||||
\(857\) | 25.6181 | + | 16.4638i | 0.875099 | + | 0.562392i | 0.899308 | − | 0.437315i | \(-0.144071\pi\) |
−0.0242097 | + | 0.999707i | \(0.507707\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −27.7481 | + | 32.0230i | −0.946753 | + | 1.09261i | 0.0488378 | + | 0.998807i | \(0.484448\pi\) |
−0.995591 | + | 0.0938044i | \(0.970097\pi\) | |||||||
\(860\) | −0.991078 | + | 6.89310i | −0.0337955 | + | 0.235053i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 31.9563 | + | 9.38322i | 1.08844 | + | 0.319594i | ||||
\(863\) | −47.6728 | − | 13.9980i | −1.62280 | − | 0.476497i | −0.661031 | − | 0.750358i | \(-0.729881\pi\) |
−0.961769 | + | 0.273861i | \(0.911699\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −7.11840 | + | 49.5096i | −0.242033 | + | 1.68338i | ||||
\(866\) | −14.1218 | + | 16.2975i | −0.479879 | + | 0.553810i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −8.57508 | − | 5.51087i | −0.291057 | − | 0.187051i | ||||
\(869\) | 12.8152 | + | 89.1316i | 0.434725 | + | 3.02358i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 14.4925 | + | 16.7252i | 0.491059 | + | 0.566712i | ||||
\(872\) | −5.63776 | + | 1.65539i | −0.190918 | + | 0.0560587i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 1.23544 | − | 2.36059i | 0.0417895 | − | 0.0798483i | ||||
\(875\) | 1.27581 | 0.0431301 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −3.26487 | − | 3.76787i | −0.110247 | − | 0.127232i | 0.697944 | − | 0.716152i | \(-0.254098\pi\) |
−0.808191 | + | 0.588921i | \(0.799553\pi\) | |||||||
\(878\) | −14.5026 | + | 9.32025i | −0.489439 | + | 0.314543i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 17.6214 | + | 11.3246i | 0.594018 | + | 0.381752i | ||||
\(881\) | −20.4593 | + | 44.7996i | −0.689291 | + | 1.50934i | 0.163198 | + | 0.986593i | \(0.447819\pi\) |
−0.852490 | + | 0.522744i | \(0.824908\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 4.15048 | − | 28.8672i | 0.139675 | − | 0.971459i | −0.792609 | − | 0.609730i | \(-0.791278\pi\) |
0.932284 | − | 0.361728i | \(-0.117813\pi\) | |||||||
\(884\) | 1.43450 | + | 3.14111i | 0.0482474 | + | 0.105647i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −18.1503 | − | 5.32942i | −0.609772 | − | 0.179045i | ||||
\(887\) | −2.53121 | − | 5.54257i | −0.0849897 | − | 0.186101i | 0.862365 | − | 0.506287i | \(-0.168982\pi\) |
−0.947355 | + | 0.320185i | \(0.896255\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −8.79022 | + | 10.1445i | −0.294815 | + | 0.340234i | ||||
\(890\) | −7.47719 | + | 16.3728i | −0.250636 | + | 0.548816i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 2.24948 | + | 15.6454i | 0.0753180 | + | 0.523848i | ||||
\(893\) | 5.33424 | − | 3.42811i | 0.178504 | − | 0.114717i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 19.6886 | − | 5.78111i | 0.658119 | − | 0.193241i | ||||
\(896\) | −1.51334 | −0.0505570 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 23.0511 | 0.769225 | ||||||||
\(899\) | 56.0267 | − | 16.4509i | 1.86860 | − | 0.548669i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −12.1402 | + | 7.80201i | −0.404448 | + | 0.259923i | ||||
\(902\) | 1.71955 | + | 11.9597i | 0.0572548 | + | 0.398216i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 5.11278 | − | 11.1954i | 0.170048 | − | 0.372354i | ||||
\(905\) | 46.4403 | − | 53.5950i | 1.54373 | − | 1.78156i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −1.02214 | − | 2.23817i | −0.0339396 | − | 0.0743173i | 0.891903 | − | 0.452227i | \(-0.149370\pi\) |
−0.925842 | + | 0.377910i | \(0.876643\pi\) | |||||||
\(908\) | −2.48959 | − | 0.731009i | −0.0826199 | − | 0.0242594i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −5.81264 | − | 12.7279i | −0.192687 | − | 0.421926i | ||||
\(911\) | −7.45933 | + | 51.8808i | −0.247139 | + | 1.71889i | 0.367454 | + | 0.930042i | \(0.380229\pi\) |
−0.614593 | + | 0.788845i | \(0.710680\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 42.3418 | − | 92.7157i | 1.40131 | − | 3.06844i | ||||
\(914\) | −12.7790 | − | 8.21256i | −0.422691 | − | 0.271647i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 8.40727 | − | 5.40302i | 0.277784 | − | 0.178521i | ||||
\(917\) | 12.4259 | + | 14.3403i | 0.410340 | + | 0.473558i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −12.0132 | −0.396280 | −0.198140 | − | 0.980174i | \(-0.563490\pi\) | ||||
−0.198140 | + | 0.980174i | \(0.563490\pi\) | |||||||
\(920\) | −14.4877 | − | 5.11445i | −0.477647 | − | 0.168619i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −18.4645 | + | 5.42165i | −0.608095 | + | 0.178553i | ||||
\(923\) | −17.8720 | − | 20.6254i | −0.588266 | − | 0.678895i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 1.08893 | + | 7.57369i | 0.0358039 | + | 0.249021i | ||||
\(926\) | 2.55101 | + | 1.63944i | 0.0838315 | + | 0.0538752i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 5.67710 | − | 6.55173i | 0.186360 | − | 0.215071i | ||||
\(929\) | −2.45403 | + | 17.0682i | −0.0805142 | + | 0.559989i | 0.909137 | + | 0.416497i | \(0.136742\pi\) |
−0.989651 | + | 0.143492i | \(0.954167\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 2.51057 | + | 0.737169i | 0.0822805 | + | 0.0241597i | ||||
\(932\) | −26.1891 | − | 7.68983i | −0.857854 | − | 0.251889i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −0.405614 | + | 2.82111i | −0.0132721 | + | 0.0923095i | ||||
\(935\) | −16.4122 | + | 18.9407i | −0.536735 | + | 0.619426i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 16.7304 | + | 10.7520i | 0.546559 | + | 0.351252i | 0.784599 | − | 0.620003i | \(-0.212869\pi\) |
−0.238040 | + | 0.971255i | \(0.576505\pi\) | |||||||
\(938\) | −1.65145 | − | 11.4861i | −0.0539216 | − | 0.375033i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −23.9447 | − | 27.6336i | −0.780988 | − | 0.901309i | ||||
\(941\) | −14.1949 | + | 4.16801i | −0.462742 | + | 0.135873i | −0.504790 | − | 0.863242i | \(-0.668430\pi\) |
0.0420478 | + | 0.999116i | \(0.486612\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −3.24308 | − | 8.24779i | −0.105609 | − | 0.268585i | ||||
\(944\) | −3.96140 | −0.128933 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 9.30764 | + | 10.7416i | 0.302618 | + | 0.349239i | ||||
\(947\) | 15.2688 | − | 9.81269i | 0.496171 | − | 0.318869i | −0.268512 | − | 0.963276i | \(-0.586532\pi\) |
0.764683 | + | 0.644407i | \(0.222896\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −1.52378 | − | 0.979276i | −0.0494641 | − | 0.0317886i | ||||
\(950\) | −1.21466 | + | 2.65973i | −0.0394088 | + | 0.0862932i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 0.257685 | − | 1.79224i | 0.00835162 | − | 0.0580868i | ||||
\(953\) | 10.8698 | + | 23.8016i | 0.352108 | + | 0.771008i | 0.999957 | + | 0.00923998i | \(0.00294122\pi\) |
−0.647850 | + | 0.761768i | \(0.724332\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −6.60615 | − | 1.93974i | −0.213770 | − | 0.0627685i | ||||
\(956\) | −5.94819 | − | 13.0247i | −0.192378 | − | 0.421250i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −24.4006 | + | 28.1598i | −0.788347 | + | 0.909801i | ||||
\(959\) | 8.58020 | − | 18.7880i | 0.277069 | − | 0.606697i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −2.04480 | − | 14.2219i | −0.0659613 | − | 0.458771i | ||||
\(962\) | 3.52977 | − | 2.26844i | 0.113804 | − | 0.0731376i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −13.6207 | + | 3.99940i | −0.438694 | + | 0.128812i | ||||
\(965\) | −36.0279 | −1.15978 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −22.8164 | −0.733726 | −0.366863 | − | 0.930275i | \(-0.619568\pi\) | ||||
−0.366863 | + | 0.930275i | \(0.619568\pi\) | |||||||
\(968\) | 30.4649 | − | 8.94531i | 0.979179 | − | 0.287513i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 19.5318 | − | 12.5523i | 0.627127 | − | 0.403030i | ||||
\(971\) | −0.323393 | − | 2.24925i | −0.0103782 | − | 0.0721818i | 0.983974 | − | 0.178311i | \(-0.0570633\pi\) |
−0.994352 | + | 0.106129i | \(0.966154\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −7.32626 | + | 16.0423i | −0.234869 | + | 0.514291i | ||||
\(974\) | −20.1340 | + | 23.2359i | −0.645136 | + | 0.744526i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 3.75307 | + | 8.21807i | 0.120133 | + | 0.263054i | ||||
\(977\) | −36.2549 | − | 10.6454i | −1.15990 | − | 0.340577i | −0.355505 | − | 0.934674i | \(-0.615691\pi\) |
−0.804393 | + | 0.594098i | \(0.797509\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 15.2606 | + | 33.4160i | 0.487731 | + | 1.06798i | ||||
\(980\) | 2.14731 | − | 14.9348i | 0.0685932 | − | 0.477076i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 3.24644 | − | 7.10872i | 0.103598 | − | 0.226848i | ||||
\(983\) | 44.8441 | + | 28.8196i | 1.43031 | + | 0.919202i | 0.999862 | + | 0.0165844i | \(0.00527921\pi\) |
0.430444 | + | 0.902617i | \(0.358357\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −28.0623 | + | 18.0345i | −0.894138 | + | 0.574627i | ||||
\(986\) | 6.79250 | + | 7.83897i | 0.216317 | + | 0.249644i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 1.60340 | 0.0510109 | ||||||||
\(989\) | −8.45463 | − | 6.09939i | −0.268842 | − | 0.193949i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −16.4716 | + | 4.83651i | −0.523238 | + | 0.153637i | −0.532677 | − | 0.846319i | \(-0.678814\pi\) |
0.00943830 | + | 0.999955i | \(0.496996\pi\) | |||||||
\(992\) | −4.41087 | − | 5.09042i | −0.140045 | − | 0.161621i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 2.03656 | + | 14.1646i | 0.0645956 | + | 0.449273i | ||||
\(995\) | 40.6947 | + | 26.1529i | 1.29011 | + | 0.829103i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 18.9102 | − | 21.8236i | 0.598893 | − | 0.691160i | −0.372664 | − | 0.927967i | \(-0.621555\pi\) |
0.971557 | + | 0.236807i | \(0.0761009\pi\) | |||||||
\(998\) | 1.84435 | − | 12.8278i | 0.0583820 | − | 0.406055i | ||||
\(999\) | 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 | 414.2.i.d.55.1 | 10 | ||
3.2 | odd | 2 | 138.2.e.a.55.1 | ✓ | 10 | ||
23.8 | even | 11 | 9522.2.a.bt.1.5 | 5 | |||
23.15 | odd | 22 | 9522.2.a.bq.1.1 | 5 | |||
23.18 | even | 11 | inner | 414.2.i.d.271.1 | 10 | ||
69.8 | odd | 22 | 3174.2.a.bc.1.1 | 5 | |||
69.38 | even | 22 | 3174.2.a.bd.1.5 | 5 | |||
69.41 | odd | 22 | 138.2.e.a.133.1 | yes | 10 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
138.2.e.a.55.1 | ✓ | 10 | 3.2 | odd | 2 | ||
138.2.e.a.133.1 | yes | 10 | 69.41 | odd | 22 | ||
414.2.i.d.55.1 | 10 | 1.1 | even | 1 | trivial | ||
414.2.i.d.271.1 | 10 | 23.18 | even | 11 | inner | ||
3174.2.a.bc.1.1 | 5 | 69.8 | odd | 22 | |||
3174.2.a.bd.1.5 | 5 | 69.38 | even | 22 | |||
9522.2.a.bq.1.1 | 5 | 23.15 | odd | 22 | |||
9522.2.a.bt.1.5 | 5 | 23.8 | even | 11 |