Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [804,2,Mod(535,804)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(804, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 0, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("804.535");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 804 = 2^{2} \cdot 3 \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 804.e (of order \(2\), degree \(1\), 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: | \(6.41997232251\) |
Analytic rank: | \(0\) |
Dimension: | \(34\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 535.30 | ||
Character | \(\chi\) | \(=\) | 804.535 |
Dual form | 804.2.e.b.535.29 |
$q$-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 \(\left(\mathbb{Z}/804\mathbb{Z}\right)^\times\).
\(n\) | \(269\) | \(337\) | \(403\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.31376 | + | 0.523490i | 0.928967 | + | 0.370164i | ||||
\(3\) | 1.00000 | 0.577350 | ||||||||
\(4\) | 1.45192 | + | 1.37548i | 0.725958 | + | 0.687739i | ||||
\(5\) | − | 1.71706i | − | 0.767891i | −0.923356 | − | 0.383945i | \(-0.874565\pi\) | ||
0.923356 | − | 0.383945i | \(-0.125435\pi\) | |||||||
\(6\) | 1.31376 | + | 0.523490i | 0.536339 | + | 0.213714i | ||||
\(7\) | 3.43662 | 1.29892 | 0.649461 | − | 0.760395i | \(-0.274995\pi\) | ||||
0.649461 | + | 0.760395i | \(0.274995\pi\) | |||||||
\(8\) | 1.18741 | + | 2.56711i | 0.419814 | + | 0.907610i | ||||
\(9\) | 1.00000 | 0.333333 | ||||||||
\(10\) | 0.898862 | − | 2.25579i | 0.284245 | − | 0.713345i | ||||
\(11\) | −1.17026 | −0.352846 | −0.176423 | − | 0.984314i | \(-0.556453\pi\) | ||||
−0.176423 | + | 0.984314i | \(0.556453\pi\) | |||||||
\(12\) | 1.45192 | + | 1.37548i | 0.419132 | + | 0.397066i | ||||
\(13\) | − | 1.11142i | − | 0.308252i | −0.988051 | − | 0.154126i | \(-0.950744\pi\) | ||
0.988051 | − | 0.154126i | \(-0.0492562\pi\) | |||||||
\(14\) | 4.51489 | + | 1.79904i | 1.20665 | + | 0.480813i | ||||
\(15\) | − | 1.71706i | − | 0.443342i | ||||||
\(16\) | 0.216118 | + | 3.99416i | 0.0540294 | + | 0.998539i | ||||
\(17\) | −6.00763 | −1.45706 | −0.728532 | − | 0.685012i | \(-0.759797\pi\) | ||||
−0.728532 | + | 0.685012i | \(0.759797\pi\) | |||||||
\(18\) | 1.31376 | + | 0.523490i | 0.309656 | + | 0.123388i | ||||
\(19\) | 1.61491i | 0.370485i | 0.982693 | + | 0.185243i | \(0.0593071\pi\) | ||||
−0.982693 | + | 0.185243i | \(0.940693\pi\) | |||||||
\(20\) | 2.36177 | − | 2.49302i | 0.528109 | − | 0.557456i | ||||
\(21\) | 3.43662 | 0.749933 | ||||||||
\(22\) | −1.53743 | − | 0.612619i | −0.327782 | − | 0.130611i | ||||
\(23\) | − | 5.58871i | − | 1.16533i | −0.812714 | − | 0.582663i | \(-0.802011\pi\) | ||
0.812714 | − | 0.582663i | \(-0.197989\pi\) | |||||||
\(24\) | 1.18741 | + | 2.56711i | 0.242380 | + | 0.524009i | ||||
\(25\) | 2.05172 | 0.410344 | ||||||||
\(26\) | 0.581818 | − | 1.46014i | 0.114104 | − | 0.286356i | ||||
\(27\) | 1.00000 | 0.192450 | ||||||||
\(28\) | 4.98969 | + | 4.72700i | 0.942962 | + | 0.893319i | ||||
\(29\) | −2.67857 | −0.497397 | −0.248699 | − | 0.968581i | \(-0.580003\pi\) | ||||
−0.248699 | + | 0.968581i | \(0.580003\pi\) | |||||||
\(30\) | 0.898862 | − | 2.25579i | 0.164109 | − | 0.411850i | ||||
\(31\) | −3.52610 | −0.633307 | −0.316653 | − | 0.948541i | \(-0.602559\pi\) | ||||
−0.316653 | + | 0.948541i | \(0.602559\pi\) | |||||||
\(32\) | −1.80698 | + | 5.36049i | −0.319431 | + | 0.947609i | ||||
\(33\) | −1.17026 | −0.203716 | ||||||||
\(34\) | −7.89257 | − | 3.14494i | −1.35356 | − | 0.539352i | ||||
\(35\) | − | 5.90087i | − | 0.997430i | ||||||
\(36\) | 1.45192 | + | 1.37548i | 0.241986 | + | 0.229246i | ||||
\(37\) | 4.31616 | 0.709572 | 0.354786 | − | 0.934948i | \(-0.384554\pi\) | ||||
0.354786 | + | 0.934948i | \(0.384554\pi\) | |||||||
\(38\) | −0.845389 | + | 2.12160i | −0.137140 | + | 0.344168i | ||||
\(39\) | − | 1.11142i | − | 0.177970i | ||||||
\(40\) | 4.40787 | − | 2.03886i | 0.696945 | − | 0.322372i | ||||
\(41\) | 8.77192i | 1.36994i | 0.728570 | + | 0.684972i | \(0.240185\pi\) | ||||
−0.728570 | + | 0.684972i | \(0.759815\pi\) | |||||||
\(42\) | 4.51489 | + | 1.79904i | 0.696662 | + | 0.277598i | ||||
\(43\) | −1.55663 | −0.237384 | −0.118692 | − | 0.992931i | \(-0.537870\pi\) | ||||
−0.118692 | + | 0.992931i | \(0.537870\pi\) | |||||||
\(44\) | −1.69912 | − | 1.60966i | −0.256151 | − | 0.242666i | ||||
\(45\) | − | 1.71706i | − | 0.255964i | ||||||
\(46\) | 2.92563 | − | 7.34220i | 0.431361 | − | 1.08255i | ||||
\(47\) | − | 3.12725i | − | 0.456157i | −0.973643 | − | 0.228078i | \(-0.926756\pi\) | ||
0.973643 | − | 0.228078i | \(-0.0732442\pi\) | |||||||
\(48\) | 0.216118 | + | 3.99416i | 0.0311939 | + | 0.576507i | ||||
\(49\) | 4.81038 | 0.687197 | ||||||||
\(50\) | 2.69546 | + | 1.07406i | 0.381196 | + | 0.151894i | ||||
\(51\) | −6.00763 | −0.841236 | ||||||||
\(52\) | 1.52873 | − | 1.61369i | 0.211997 | − | 0.223778i | ||||
\(53\) | 9.63385i | 1.32331i | 0.749808 | + | 0.661655i | \(0.230146\pi\) | ||||
−0.749808 | + | 0.661655i | \(0.769854\pi\) | |||||||
\(54\) | 1.31376 | + | 0.523490i | 0.178780 | + | 0.0712380i | ||||
\(55\) | 2.00940i | 0.270947i | ||||||||
\(56\) | 4.08070 | + | 8.82218i | 0.545306 | + | 1.17891i | ||||
\(57\) | 1.61491i | 0.213900i | ||||||||
\(58\) | −3.51899 | − | 1.40220i | −0.462065 | − | 0.184118i | ||||
\(59\) | 5.48116i | 0.713586i | 0.934183 | + | 0.356793i | \(0.116130\pi\) | ||||
−0.934183 | + | 0.356793i | \(0.883870\pi\) | |||||||
\(60\) | 2.36177 | − | 2.49302i | 0.304904 | − | 0.321847i | ||||
\(61\) | 3.17038i | 0.405926i | 0.979186 | + | 0.202963i | \(0.0650571\pi\) | ||||
−0.979186 | + | 0.202963i | \(0.934943\pi\) | |||||||
\(62\) | −4.63244 | − | 1.84588i | −0.588321 | − | 0.234427i | ||||
\(63\) | 3.43662 | 0.432974 | ||||||||
\(64\) | −5.18009 | + | 6.09644i | −0.647512 | + | 0.762056i | ||||
\(65\) | −1.90837 | −0.236704 | ||||||||
\(66\) | −1.53743 | − | 0.612619i | −0.189245 | − | 0.0754081i | ||||
\(67\) | 3.55266 | − | 7.37419i | 0.434026 | − | 0.900900i | ||||
\(68\) | −8.72257 | − | 8.26336i | −1.05777 | − | 1.00208i | ||||
\(69\) | − | 5.58871i | − | 0.672801i | ||||||
\(70\) | 3.08905 | − | 7.75231i | 0.369212 | − | 0.926579i | ||||
\(71\) | − | 14.4279i | − | 1.71228i | −0.516748 | − | 0.856138i | \(-0.672857\pi\) | ||
0.516748 | − | 0.856138i | \(-0.327143\pi\) | |||||||
\(72\) | 1.18741 | + | 2.56711i | 0.139938 | + | 0.302537i | ||||
\(73\) | −7.90152 | −0.924803 | −0.462402 | − | 0.886671i | \(-0.653012\pi\) | ||||
−0.462402 | + | 0.886671i | \(0.653012\pi\) | |||||||
\(74\) | 5.67038 | + | 2.25947i | 0.659169 | + | 0.262658i | ||||
\(75\) | 2.05172 | 0.236912 | ||||||||
\(76\) | −2.22127 | + | 2.34471i | −0.254797 | + | 0.268957i | ||||
\(77\) | −4.02173 | −0.458319 | ||||||||
\(78\) | 0.581818 | − | 1.46014i | 0.0658779 | − | 0.165328i | ||||
\(79\) | −7.48688 | −0.842340 | −0.421170 | − | 0.906982i | \(-0.638380\pi\) | ||||
−0.421170 | + | 0.906982i | \(0.638380\pi\) | |||||||
\(80\) | 6.85819 | − | 0.371086i | 0.766769 | − | 0.0414887i | ||||
\(81\) | 1.00000 | 0.111111 | ||||||||
\(82\) | −4.59201 | + | 11.5242i | −0.507103 | + | 1.27263i | ||||
\(83\) | 3.57916i | 0.392863i | 0.980518 | + | 0.196432i | \(0.0629354\pi\) | ||||
−0.980518 | + | 0.196432i | \(0.937065\pi\) | |||||||
\(84\) | 4.98969 | + | 4.72700i | 0.544419 | + | 0.515758i | ||||
\(85\) | 10.3154i | 1.11887i | ||||||||
\(86\) | −2.04503 | − | 0.814881i | −0.220522 | − | 0.0878709i | ||||
\(87\) | −2.67857 | −0.287172 | ||||||||
\(88\) | −1.38958 | − | 3.00418i | −0.148130 | − | 0.320247i | ||||
\(89\) | −13.9566 | −1.47939 | −0.739696 | − | 0.672941i | \(-0.765031\pi\) | ||||
−0.739696 | + | 0.672941i | \(0.765031\pi\) | |||||||
\(90\) | 0.898862 | − | 2.25579i | 0.0947484 | − | 0.237782i | ||||
\(91\) | − | 3.81953i | − | 0.400396i | ||||||
\(92\) | 7.68715 | − | 8.11433i | 0.801440 | − | 0.845977i | ||||
\(93\) | −3.52610 | −0.365640 | ||||||||
\(94\) | 1.63709 | − | 4.10845i | 0.168853 | − | 0.423754i | ||||
\(95\) | 2.77289 | 0.284492 | ||||||||
\(96\) | −1.80698 | + | 5.36049i | −0.184424 | + | 0.547103i | ||||
\(97\) | 7.37562i | 0.748880i | 0.927251 | + | 0.374440i | \(0.122165\pi\) | ||||
−0.927251 | + | 0.374440i | \(0.877835\pi\) | |||||||
\(98\) | 6.31967 | + | 2.51819i | 0.638383 | + | 0.254375i | ||||
\(99\) | −1.17026 | −0.117615 | ||||||||
\(100\) | 2.97892 | + | 2.82210i | 0.297892 | + | 0.282210i | ||||
\(101\) | 11.4184i | 1.13617i | 0.822968 | + | 0.568087i | \(0.192316\pi\) | ||||
−0.822968 | + | 0.568087i | \(0.807684\pi\) | |||||||
\(102\) | −7.89257 | − | 3.14494i | −0.781480 | − | 0.311395i | ||||
\(103\) | − | 12.6926i | − | 1.25064i | −0.780368 | − | 0.625320i | \(-0.784968\pi\) | ||
0.780368 | − | 0.625320i | \(-0.215032\pi\) | |||||||
\(104\) | 2.85314 | − | 1.31972i | 0.279773 | − | 0.129409i | ||||
\(105\) | − | 5.90087i | − | 0.575866i | ||||||
\(106\) | −5.04323 | + | 12.6565i | −0.489841 | + | 1.22931i | ||||
\(107\) | − | 15.0145i | − | 1.45151i | −0.687955 | − | 0.725753i | \(-0.741491\pi\) | ||
0.687955 | − | 0.725753i | \(-0.258509\pi\) | |||||||
\(108\) | 1.45192 | + | 1.37548i | 0.139711 | + | 0.132355i | ||||
\(109\) | − | 0.414438i | − | 0.0396959i | −0.999803 | − | 0.0198480i | \(-0.993682\pi\) | ||
0.999803 | − | 0.0198480i | \(-0.00631822\pi\) | |||||||
\(110\) | −1.05190 | + | 2.63986i | −0.100295 | + | 0.251701i | ||||
\(111\) | 4.31616 | 0.409672 | ||||||||
\(112\) | 0.742714 | + | 13.7264i | 0.0701799 | + | 1.29702i | ||||
\(113\) | − | 8.28821i | − | 0.779689i | −0.920881 | − | 0.389844i | \(-0.872529\pi\) | ||
0.920881 | − | 0.389844i | \(-0.127471\pi\) | |||||||
\(114\) | −0.845389 | + | 2.12160i | −0.0791779 | + | 0.198706i | ||||
\(115\) | −9.59612 | −0.894843 | ||||||||
\(116\) | −3.88905 | − | 3.68431i | −0.361089 | − | 0.342080i | ||||
\(117\) | − | 1.11142i | − | 0.102751i | ||||||
\(118\) | −2.86933 | + | 7.20091i | −0.264144 | + | 0.662898i | ||||
\(119\) | −20.6460 | −1.89261 | ||||||||
\(120\) | 4.40787 | − | 2.03886i | 0.402382 | − | 0.186121i | ||||
\(121\) | −9.63050 | −0.875500 | ||||||||
\(122\) | −1.65967 | + | 4.16511i | −0.150259 | + | 0.377092i | ||||
\(123\) | 8.77192i | 0.790937i | ||||||||
\(124\) | −5.11960 | − | 4.85008i | −0.459754 | − | 0.435550i | ||||
\(125\) | − | 12.1082i | − | 1.08299i | ||||||
\(126\) | 4.51489 | + | 1.79904i | 0.402218 | + | 0.160271i | ||||
\(127\) | 10.2190i | 0.906792i | 0.891309 | + | 0.453396i | \(0.149788\pi\) | ||||
−0.891309 | + | 0.453396i | \(0.850212\pi\) | |||||||
\(128\) | −9.99681 | + | 5.29752i | −0.883602 | + | 0.468239i | ||||
\(129\) | −1.55663 | −0.137054 | ||||||||
\(130\) | −2.50713 | − | 0.999013i | −0.219890 | − | 0.0876193i | ||||
\(131\) | 5.16804i | 0.451534i | 0.974181 | + | 0.225767i | \(0.0724888\pi\) | ||||
−0.974181 | + | 0.225767i | \(0.927511\pi\) | |||||||
\(132\) | −1.69912 | − | 1.60966i | −0.147889 | − | 0.140103i | ||||
\(133\) | 5.54983i | 0.481231i | ||||||||
\(134\) | 8.52765 | − | 7.82811i | 0.736676 | − | 0.676245i | ||||
\(135\) | − | 1.71706i | − | 0.147781i | ||||||
\(136\) | −7.13355 | − | 15.4222i | −0.611697 | − | 1.32245i | ||||
\(137\) | − | 21.9540i | − | 1.87566i | −0.347097 | − | 0.937829i | \(-0.612833\pi\) | ||
0.347097 | − | 0.937829i | \(-0.387167\pi\) | |||||||
\(138\) | 2.92563 | − | 7.34220i | 0.249047 | − | 0.625010i | ||||
\(139\) | 9.91101 | 0.840641 | 0.420320 | − | 0.907376i | \(-0.361918\pi\) | ||||
0.420320 | + | 0.907376i | \(0.361918\pi\) | |||||||
\(140\) | 8.11652 | − | 8.56757i | 0.685972 | − | 0.724092i | ||||
\(141\) | − | 3.12725i | − | 0.263362i | ||||||
\(142\) | 7.55286 | − | 18.9547i | 0.633822 | − | 1.59065i | ||||
\(143\) | 1.30065i | 0.108766i | ||||||||
\(144\) | 0.216118 | + | 3.99416i | 0.0180098 | + | 0.332846i | ||||
\(145\) | 4.59925i | 0.381947i | ||||||||
\(146\) | −10.3807 | − | 4.13637i | −0.859111 | − | 0.342329i | ||||
\(147\) | 4.81038 | 0.396753 | ||||||||
\(148\) | 6.26670 | + | 5.93678i | 0.515119 | + | 0.488001i | ||||
\(149\) | 17.2963 | 1.41697 | 0.708483 | − | 0.705728i | \(-0.249380\pi\) | ||||
0.708483 | + | 0.705728i | \(0.249380\pi\) | |||||||
\(150\) | 2.69546 | + | 1.07406i | 0.220083 | + | 0.0876963i | ||||
\(151\) | − | 1.72171i | − | 0.140111i | −0.997543 | − | 0.0700553i | \(-0.977682\pi\) | ||
0.997543 | − | 0.0700553i | \(-0.0223176\pi\) | |||||||
\(152\) | −4.14564 | + | 1.91756i | −0.336256 | + | 0.155535i | ||||
\(153\) | −6.00763 | −0.485688 | ||||||||
\(154\) | −5.28358 | − | 2.10534i | −0.425763 | − | 0.169653i | ||||
\(155\) | 6.05452i | 0.486310i | ||||||||
\(156\) | 1.52873 | − | 1.61369i | 0.122397 | − | 0.129198i | ||||
\(157\) | 20.4651 | 1.63329 | 0.816645 | − | 0.577141i | \(-0.195832\pi\) | ||||
0.816645 | + | 0.577141i | \(0.195832\pi\) | |||||||
\(158\) | −9.83595 | − | 3.91931i | −0.782506 | − | 0.311804i | ||||
\(159\) | 9.63385i | 0.764014i | ||||||||
\(160\) | 9.20426 | + | 3.10268i | 0.727660 | + | 0.245288i | ||||
\(161\) | − | 19.2063i | − | 1.51367i | ||||||
\(162\) | 1.31376 | + | 0.523490i | 0.103219 | + | 0.0411293i | ||||
\(163\) | − | 4.88761i | − | 0.382827i | −0.981509 | − | 0.191414i | \(-0.938693\pi\) | ||
0.981509 | − | 0.191414i | \(-0.0613072\pi\) | |||||||
\(164\) | −12.0656 | + | 12.7361i | −0.942164 | + | 0.994521i | ||||
\(165\) | 2.00940i | 0.156431i | ||||||||
\(166\) | −1.87365 | + | 4.70214i | −0.145424 | + | 0.364957i | ||||
\(167\) | 2.32807i | 0.180151i | 0.995935 | + | 0.0900756i | \(0.0287109\pi\) | ||||
−0.995935 | + | 0.0900756i | \(0.971289\pi\) | |||||||
\(168\) | 4.08070 | + | 8.82218i | 0.314833 | + | 0.680646i | ||||
\(169\) | 11.7647 | 0.904980 | ||||||||
\(170\) | −5.40003 | + | 13.5520i | −0.414163 | + | 1.03939i | ||||
\(171\) | 1.61491i | 0.123495i | ||||||||
\(172\) | −2.26010 | − | 2.14111i | −0.172331 | − | 0.163258i | ||||
\(173\) | −5.54784 | −0.421794 | −0.210897 | − | 0.977508i | \(-0.567639\pi\) | ||||
−0.210897 | + | 0.977508i | \(0.567639\pi\) | |||||||
\(174\) | −3.51899 | − | 1.40220i | −0.266774 | − | 0.106301i | ||||
\(175\) | 7.05099 | 0.533004 | ||||||||
\(176\) | −0.252913 | − | 4.67419i | −0.0190641 | − | 0.352331i | ||||
\(177\) | 5.48116i | 0.411989i | ||||||||
\(178\) | −18.3355 | − | 7.30612i | −1.37431 | − | 0.547617i | ||||
\(179\) | 7.50648 | 0.561061 | 0.280530 | − | 0.959845i | \(-0.409490\pi\) | ||||
0.280530 | + | 0.959845i | \(0.409490\pi\) | |||||||
\(180\) | 2.36177 | − | 2.49302i | 0.176036 | − | 0.185819i | ||||
\(181\) | −6.75725 | −0.502263 | −0.251131 | − | 0.967953i | \(-0.580803\pi\) | ||||
−0.251131 | + | 0.967953i | \(0.580803\pi\) | |||||||
\(182\) | 1.99949 | − | 5.01794i | 0.148212 | − | 0.371954i | ||||
\(183\) | 3.17038i | 0.234362i | ||||||||
\(184\) | 14.3468 | − | 6.63611i | 1.05766 | − | 0.489221i | ||||
\(185\) | − | 7.41109i | − | 0.544874i | ||||||
\(186\) | −4.63244 | − | 1.84588i | −0.339667 | − | 0.135347i | ||||
\(187\) | 7.03047 | 0.514119 | ||||||||
\(188\) | 4.30147 | − | 4.54051i | 0.313717 | − | 0.331150i | ||||
\(189\) | 3.43662 | 0.249978 | ||||||||
\(190\) | 3.64290 | + | 1.45158i | 0.264284 | + | 0.105309i | ||||
\(191\) | −14.3393 | −1.03755 | −0.518776 | − | 0.854910i | \(-0.673612\pi\) | ||||
−0.518776 | + | 0.854910i | \(0.673612\pi\) | |||||||
\(192\) | −5.18009 | + | 6.09644i | −0.373841 | + | 0.439973i | ||||
\(193\) | −6.63609 | −0.477677 | −0.238838 | − | 0.971059i | \(-0.576767\pi\) | ||||
−0.238838 | + | 0.971059i | \(0.576767\pi\) | |||||||
\(194\) | −3.86106 | + | 9.68977i | −0.277208 | + | 0.695685i | ||||
\(195\) | −1.90837 | −0.136661 | ||||||||
\(196\) | 6.98426 | + | 6.61657i | 0.498876 | + | 0.472612i | ||||
\(197\) | 10.9332i | 0.778955i | 0.921036 | + | 0.389478i | \(0.127344\pi\) | ||||
−0.921036 | + | 0.389478i | \(0.872656\pi\) | |||||||
\(198\) | −1.53743 | − | 0.612619i | −0.109261 | − | 0.0435369i | ||||
\(199\) | 21.7663i | 1.54297i | 0.636247 | + | 0.771485i | \(0.280486\pi\) | ||||
−0.636247 | + | 0.771485i | \(0.719514\pi\) | |||||||
\(200\) | 2.43624 | + | 5.26699i | 0.172268 | + | 0.372432i | ||||
\(201\) | 3.55266 | − | 7.37419i | 0.250585 | − | 0.520135i | ||||
\(202\) | −5.97743 | + | 15.0010i | −0.420570 | + | 1.05547i | ||||
\(203\) | −9.20522 | −0.646080 | ||||||||
\(204\) | −8.72257 | − | 8.26336i | −0.610702 | − | 0.578551i | ||||
\(205\) | 15.0619 | 1.05197 | ||||||||
\(206\) | 6.64446 | − | 16.6750i | 0.462942 | − | 1.16180i | ||||
\(207\) | − | 5.58871i | − | 0.388442i | ||||||
\(208\) | 4.43919 | − | 0.240197i | 0.307802 | − | 0.0166547i | ||||
\(209\) | − | 1.88986i | − | 0.130724i | ||||||
\(210\) | 3.08905 | − | 7.75231i | 0.213165 | − | 0.534961i | ||||
\(211\) | − | 24.8456i | − | 1.71044i | −0.518263 | − | 0.855221i | \(-0.673421\pi\) | ||
0.518263 | − | 0.855221i | \(-0.326579\pi\) | |||||||
\(212\) | −13.2511 | + | 13.9875i | −0.910093 | + | 0.960668i | ||||
\(213\) | − | 14.4279i | − | 0.988583i | ||||||
\(214\) | 7.85995 | − | 19.7254i | 0.537295 | − | 1.34840i | ||||
\(215\) | 2.67282i | 0.182285i | ||||||||
\(216\) | 1.18741 | + | 2.56711i | 0.0807933 | + | 0.174670i | ||||
\(217\) | −12.1179 | −0.822616 | ||||||||
\(218\) | 0.216954 | − | 0.544470i | 0.0146940 | − | 0.0368762i | ||||
\(219\) | −7.90152 | −0.533936 | ||||||||
\(220\) | −2.76388 | + | 2.91748i | −0.186341 | + | 0.196696i | ||||
\(221\) | 6.67700i | 0.449144i | ||||||||
\(222\) | 5.67038 | + | 2.25947i | 0.380571 | + | 0.151646i | ||||
\(223\) | 10.3441i | 0.692695i | 0.938106 | + | 0.346348i | \(0.112578\pi\) | ||||
−0.938106 | + | 0.346348i | \(0.887422\pi\) | |||||||
\(224\) | −6.20990 | + | 18.4220i | −0.414916 | + | 1.23087i | ||||
\(225\) | 2.05172 | 0.136781 | ||||||||
\(226\) | 4.33880 | − | 10.8887i | 0.288612 | − | 0.724305i | ||||
\(227\) | 6.48668i | 0.430536i | 0.976555 | + | 0.215268i | \(0.0690625\pi\) | ||||
−0.976555 | + | 0.215268i | \(0.930937\pi\) | |||||||
\(228\) | −2.22127 | + | 2.34471i | −0.147107 | + | 0.155282i | ||||
\(229\) | 17.8420i | 1.17903i | 0.807756 | + | 0.589516i | \(0.200682\pi\) | ||||
−0.807756 | + | 0.589516i | \(0.799318\pi\) | |||||||
\(230\) | −12.6070 | − | 5.02348i | −0.831279 | − | 0.331238i | ||||
\(231\) | −4.02173 | −0.264611 | ||||||||
\(232\) | −3.18057 | − | 6.87617i | −0.208815 | − | 0.451443i | ||||
\(233\) | 0.250483i | 0.0164097i | 0.999966 | + | 0.00820483i | \(0.00261171\pi\) | ||||
−0.999966 | + | 0.00820483i | \(0.997388\pi\) | |||||||
\(234\) | 0.581818 | − | 1.46014i | 0.0380346 | − | 0.0954521i | ||||
\(235\) | −5.36967 | −0.350278 | ||||||||
\(236\) | −7.53922 | + | 7.95818i | −0.490761 | + | 0.518033i | ||||
\(237\) | −7.48688 | −0.486325 | ||||||||
\(238\) | −27.1238 | − | 10.8080i | −1.75817 | − | 0.700576i | ||||
\(239\) | 18.6682 | 1.20754 | 0.603772 | − | 0.797157i | \(-0.293664\pi\) | ||||
0.603772 | + | 0.797157i | \(0.293664\pi\) | |||||||
\(240\) | 6.85819 | − | 0.371086i | 0.442694 | − | 0.0239535i | ||||
\(241\) | 0.761920 | 0.0490796 | 0.0245398 | − | 0.999699i | \(-0.492188\pi\) | ||||
0.0245398 | + | 0.999699i | \(0.492188\pi\) | |||||||
\(242\) | −12.6521 | − | 5.04147i | −0.813310 | − | 0.324078i | ||||
\(243\) | 1.00000 | 0.0641500 | ||||||||
\(244\) | −4.36079 | + | 4.60313i | −0.279171 | + | 0.294685i | ||||
\(245\) | − | 8.25969i | − | 0.527692i | ||||||
\(246\) | −4.59201 | + | 11.5242i | −0.292776 | + | 0.734754i | ||||
\(247\) | 1.79484 | 0.114203 | ||||||||
\(248\) | −4.18695 | − | 9.05189i | −0.265871 | − | 0.574796i | ||||
\(249\) | 3.57916i | 0.226820i | ||||||||
\(250\) | 6.33852 | − | 15.9072i | 0.400883 | − | 1.00606i | ||||
\(251\) | −16.0512 | −1.01314 | −0.506570 | − | 0.862199i | \(-0.669087\pi\) | ||||
−0.506570 | + | 0.862199i | \(0.669087\pi\) | |||||||
\(252\) | 4.98969 | + | 4.72700i | 0.314321 | + | 0.297773i | ||||
\(253\) | 6.54023i | 0.411181i | ||||||||
\(254\) | −5.34956 | + | 13.4253i | −0.335662 | + | 0.842380i | ||||
\(255\) | 10.3154i | 0.645978i | ||||||||
\(256\) | −15.9066 | + | 1.72641i | −0.994162 | + | 0.107901i | ||||
\(257\) | −21.7232 | −1.35506 | −0.677528 | − | 0.735497i | \(-0.736949\pi\) | ||||
−0.677528 | + | 0.735497i | \(0.736949\pi\) | |||||||
\(258\) | −2.04503 | − | 0.814881i | −0.127318 | − | 0.0507323i | ||||
\(259\) | 14.8330 | 0.921678 | ||||||||
\(260\) | −2.77079 | − | 2.62492i | −0.171837 | − | 0.162791i | ||||
\(261\) | −2.67857 | −0.165799 | ||||||||
\(262\) | −2.70542 | + | 6.78955i | −0.167142 | + | 0.419460i | ||||
\(263\) | 2.29514i | 0.141524i | 0.997493 | + | 0.0707621i | \(0.0225431\pi\) | ||||
−0.997493 | + | 0.0707621i | \(0.977457\pi\) | |||||||
\(264\) | −1.38958 | − | 3.00418i | −0.0855228 | − | 0.184894i | ||||
\(265\) | 16.5419 | 1.01616 | ||||||||
\(266\) | −2.90528 | + | 7.29113i | −0.178134 | + | 0.447048i | ||||
\(267\) | −13.9566 | −0.854127 | ||||||||
\(268\) | 15.3012 | − | 5.82009i | 0.934669 | − | 0.355518i | ||||
\(269\) | 2.80644 | 0.171112 | 0.0855559 | − | 0.996333i | \(-0.472733\pi\) | ||||
0.0855559 | + | 0.996333i | \(0.472733\pi\) | |||||||
\(270\) | 0.898862 | − | 2.25579i | 0.0547030 | − | 0.137283i | ||||
\(271\) | 25.8915 | 1.57279 | 0.786397 | − | 0.617722i | \(-0.211944\pi\) | ||||
0.786397 | + | 0.617722i | \(0.211944\pi\) | |||||||
\(272\) | −1.29835 | − | 23.9954i | −0.0787243 | − | 1.45494i | ||||
\(273\) | − | 3.81953i | − | 0.231169i | ||||||
\(274\) | 11.4927 | − | 28.8422i | 0.694300 | − | 1.74242i | ||||
\(275\) | −2.40104 | −0.144788 | ||||||||
\(276\) | 7.68715 | − | 8.11433i | 0.462712 | − | 0.488425i | ||||
\(277\) | −19.8880 | −1.19495 | −0.597477 | − | 0.801886i | \(-0.703830\pi\) | ||||
−0.597477 | + | 0.801886i | \(0.703830\pi\) | |||||||
\(278\) | 13.0207 | + | 5.18832i | 0.780927 | + | 0.311175i | ||||
\(279\) | −3.52610 | −0.211102 | ||||||||
\(280\) | 15.1482 | − | 7.00678i | 0.905277 | − | 0.418735i | ||||
\(281\) | 5.26843i | 0.314288i | 0.987576 | + | 0.157144i | \(0.0502287\pi\) | ||||
−0.987576 | + | 0.157144i | \(0.949771\pi\) | |||||||
\(282\) | 1.63709 | − | 4.10845i | 0.0974871 | − | 0.244655i | ||||
\(283\) | 4.08352i | 0.242740i | 0.992607 | + | 0.121370i | \(0.0387288\pi\) | ||||
−0.992607 | + | 0.121370i | \(0.961271\pi\) | |||||||
\(284\) | 19.8453 | − | 20.9481i | 1.17760 | − | 1.24304i | ||||
\(285\) | 2.77289 | 0.164252 | ||||||||
\(286\) | −0.680877 | + | 1.70874i | −0.0402611 | + | 0.101040i | ||||
\(287\) | 30.1458i | 1.77945i | ||||||||
\(288\) | −1.80698 | + | 5.36049i | −0.106477 | + | 0.315870i | ||||
\(289\) | 19.0916 | 1.12304 | ||||||||
\(290\) | −2.40766 | + | 6.04229i | −0.141383 | + | 0.354816i | ||||
\(291\) | 7.37562i | 0.432366i | ||||||||
\(292\) | −11.4723 | − | 10.8684i | −0.671368 | − | 0.636024i | ||||
\(293\) | 9.95443 | 0.581544 | 0.290772 | − | 0.956792i | \(-0.406088\pi\) | ||||
0.290772 | + | 0.956792i | \(0.406088\pi\) | |||||||
\(294\) | 6.31967 | + | 2.51819i | 0.368571 | + | 0.146864i | ||||
\(295\) | 9.41145 | 0.547956 | ||||||||
\(296\) | 5.12507 | + | 11.0800i | 0.297889 | + | 0.644015i | ||||
\(297\) | −1.17026 | −0.0679052 | ||||||||
\(298\) | 22.7231 | + | 9.05443i | 1.31631 | + | 0.524509i | ||||
\(299\) | −6.21140 | −0.359215 | ||||||||
\(300\) | 2.97892 | + | 2.82210i | 0.171988 | + | 0.162934i | ||||
\(301\) | −5.34955 | −0.308343 | ||||||||
\(302\) | 0.901298 | − | 2.26191i | 0.0518639 | − | 0.130158i | ||||
\(303\) | 11.4184i | 0.655971i | ||||||||
\(304\) | −6.45019 | + | 0.349010i | −0.369944 | + | 0.0200171i | ||||
\(305\) | 5.44373 | 0.311707 | ||||||||
\(306\) | −7.89257 | − | 3.14494i | −0.451188 | − | 0.179784i | ||||
\(307\) | 9.48993i | 0.541619i | 0.962633 | + | 0.270809i | \(0.0872913\pi\) | ||||
−0.962633 | + | 0.270809i | \(0.912709\pi\) | |||||||
\(308\) | −5.83922 | − | 5.53181i | −0.332720 | − | 0.315204i | ||||
\(309\) | − | 12.6926i | − | 0.722058i | ||||||
\(310\) | −3.16948 | + | 7.95416i | −0.180014 | + | 0.451766i | ||||
\(311\) | 10.6476 | 0.603770 | 0.301885 | − | 0.953344i | \(-0.402384\pi\) | ||||
0.301885 | + | 0.953344i | \(0.402384\pi\) | |||||||
\(312\) | 2.85314 | − | 1.31972i | 0.161527 | − | 0.0747142i | ||||
\(313\) | − | 5.82795i | − | 0.329415i | −0.986342 | − | 0.164707i | \(-0.947332\pi\) | ||
0.986342 | − | 0.164707i | \(-0.0526680\pi\) | |||||||
\(314\) | 26.8861 | + | 10.7133i | 1.51727 | + | 0.604584i | ||||
\(315\) | − | 5.90087i | − | 0.332477i | ||||||
\(316\) | −10.8703 | − | 10.2980i | −0.611503 | − | 0.579310i | ||||
\(317\) | 15.2367 | 0.855779 | 0.427890 | − | 0.903831i | \(-0.359257\pi\) | ||||
0.427890 | + | 0.903831i | \(0.359257\pi\) | |||||||
\(318\) | −5.04323 | + | 12.6565i | −0.282810 | + | 0.709743i | ||||
\(319\) | 3.13461 | 0.175505 | ||||||||
\(320\) | 10.4679 | + | 8.89451i | 0.585175 | + | 0.497218i | ||||
\(321\) | − | 15.0145i | − | 0.838028i | ||||||
\(322\) | 10.0543 | − | 25.2324i | 0.560304 | − | 1.40615i | ||||
\(323\) | − | 9.70176i | − | 0.539821i | ||||||
\(324\) | 1.45192 | + | 1.37548i | 0.0806620 | + | 0.0764155i | ||||
\(325\) | − | 2.28032i | − | 0.126490i | ||||||
\(326\) | 2.55862 | − | 6.42113i | 0.141709 | − | 0.355634i | ||||
\(327\) | − | 0.414438i | − | 0.0229184i | ||||||
\(328\) | −22.5185 | + | 10.4159i | −1.24337 | + | 0.575122i | ||||
\(329\) | − | 10.7472i | − | 0.592512i | ||||||
\(330\) | −1.05190 | + | 2.63986i | −0.0579052 | + | 0.145320i | ||||
\(331\) | 8.30227 | 0.456334 | 0.228167 | − | 0.973622i | \(-0.426727\pi\) | ||||
0.228167 | + | 0.973622i | \(0.426727\pi\) | |||||||
\(332\) | −4.92305 | + | 5.19663i | −0.270188 | + | 0.285202i | ||||
\(333\) | 4.31616 | 0.236524 | ||||||||
\(334\) | −1.21872 | + | 3.05851i | −0.0666854 | + | 0.167354i | ||||
\(335\) | −12.6619 | − | 6.10011i | −0.691793 | − | 0.333285i | ||||
\(336\) | 0.742714 | + | 13.7264i | 0.0405184 | + | 0.748837i | ||||
\(337\) | − | 22.6621i | − | 1.23448i | −0.786774 | − | 0.617241i | \(-0.788250\pi\) | ||
0.786774 | − | 0.617241i | \(-0.211750\pi\) | |||||||
\(338\) | 15.4560 | + | 6.15873i | 0.840697 | + | 0.334991i | ||||
\(339\) | − | 8.28821i | − | 0.450154i | ||||||
\(340\) | −14.1887 | + | 14.9771i | −0.769488 | + | 0.812249i | ||||
\(341\) | 4.12645 | 0.223460 | ||||||||
\(342\) | −0.845389 | + | 2.12160i | −0.0457134 | + | 0.114723i | ||||
\(343\) | −7.52491 | −0.406307 | ||||||||
\(344\) | −1.84837 | − | 3.99604i | −0.0996572 | − | 0.215452i | ||||
\(345\) | −9.59612 | −0.516638 | ||||||||
\(346\) | −7.28851 | − | 2.90424i | −0.391833 | − | 0.156133i | ||||
\(347\) | 0.960707 | 0.0515734 | 0.0257867 | − | 0.999667i | \(-0.491791\pi\) | ||||
0.0257867 | + | 0.999667i | \(0.491791\pi\) | |||||||
\(348\) | −3.88905 | − | 3.68431i | −0.208475 | − | 0.197500i | ||||
\(349\) | 12.3546 | 0.661327 | 0.330663 | − | 0.943749i | \(-0.392727\pi\) | ||||
0.330663 | + | 0.943749i | \(0.392727\pi\) | |||||||
\(350\) | 9.26328 | + | 3.69112i | 0.495143 | + | 0.197299i | ||||
\(351\) | − | 1.11142i | − | 0.0593232i | ||||||
\(352\) | 2.11463 | − | 6.27315i | 0.112710 | − | 0.334360i | ||||
\(353\) | − | 12.0578i | − | 0.641771i | −0.947118 | − | 0.320885i | \(-0.896020\pi\) | ||
0.947118 | − | 0.320885i | \(-0.103980\pi\) | |||||||
\(354\) | −2.86933 | + | 7.20091i | −0.152503 | + | 0.382724i | ||||
\(355\) | −24.7735 | −1.31484 | ||||||||
\(356\) | −20.2637 | − | 19.1969i | −1.07398 | − | 1.01744i | ||||
\(357\) | −20.6460 | −1.09270 | ||||||||
\(358\) | 9.86169 | + | 3.92957i | 0.521206 | + | 0.207684i | ||||
\(359\) | − | 23.1026i | − | 1.21931i | −0.792667 | − | 0.609654i | \(-0.791308\pi\) | ||
0.792667 | − | 0.609654i | \(-0.208692\pi\) | |||||||
\(360\) | 4.40787 | − | 2.03886i | 0.232315 | − | 0.107457i | ||||
\(361\) | 16.3921 | 0.862741 | ||||||||
\(362\) | −8.87739 | − | 3.53736i | −0.466585 | − | 0.185919i | ||||
\(363\) | −9.63050 | −0.505470 | ||||||||
\(364\) | 5.25368 | − | 5.54564i | 0.275368 | − | 0.290670i | ||||
\(365\) | 13.5674i | 0.710148i | ||||||||
\(366\) | −1.65967 | + | 4.16511i | −0.0867521 | + | 0.217714i | ||||
\(367\) | 9.00548 | 0.470082 | 0.235041 | − | 0.971985i | \(-0.424478\pi\) | ||||
0.235041 | + | 0.971985i | \(0.424478\pi\) | |||||||
\(368\) | 22.3222 | − | 1.20782i | 1.16362 | − | 0.0629618i | ||||
\(369\) | 8.77192i | 0.456648i | ||||||||
\(370\) | 3.87963 | − | 9.73637i | 0.201692 | − | 0.506170i | ||||
\(371\) | 33.1079i | 1.71888i | ||||||||
\(372\) | −5.11960 | − | 4.85008i | −0.265439 | − | 0.251465i | ||||
\(373\) | 11.5801i | 0.599597i | 0.954003 | + | 0.299798i | \(0.0969194\pi\) | ||||
−0.954003 | + | 0.299798i | \(0.903081\pi\) | |||||||
\(374\) | 9.23634 | + | 3.68039i | 0.477600 | + | 0.190308i | ||||
\(375\) | − | 12.1082i | − | 0.625265i | ||||||
\(376\) | 8.02800 | − | 3.71335i | 0.414012 | − | 0.191501i | ||||
\(377\) | 2.97701i | 0.153324i | ||||||||
\(378\) | 4.51489 | + | 1.79904i | 0.232221 | + | 0.0925326i | ||||
\(379\) | 36.2809 | 1.86362 | 0.931812 | − | 0.362941i | \(-0.118227\pi\) | ||||
0.931812 | + | 0.362941i | \(0.118227\pi\) | |||||||
\(380\) | 4.02600 | + | 3.81405i | 0.206529 | + | 0.195656i | ||||
\(381\) | 10.2190i | 0.523537i | ||||||||
\(382\) | −18.8383 | − | 7.50646i | −0.963851 | − | 0.384064i | ||||
\(383\) | 32.8451 | 1.67831 | 0.839153 | − | 0.543895i | \(-0.183051\pi\) | ||||
0.839153 | + | 0.543895i | \(0.183051\pi\) | |||||||
\(384\) | −9.99681 | + | 5.29752i | −0.510148 | + | 0.270338i | ||||
\(385\) | 6.90554i | 0.351939i | ||||||||
\(386\) | −8.71822 | − | 3.47393i | −0.443746 | − | 0.176818i | ||||
\(387\) | −1.55663 | −0.0791280 | ||||||||
\(388\) | −10.1450 | + | 10.7088i | −0.515034 | + | 0.543655i | ||||
\(389\) | −31.1926 | −1.58153 | −0.790764 | − | 0.612122i | \(-0.790316\pi\) | ||||
−0.790764 | + | 0.612122i | \(0.790316\pi\) | |||||||
\(390\) | −2.50713 | − | 0.999013i | −0.126954 | − | 0.0505870i | ||||
\(391\) | 33.5749i | 1.69795i | ||||||||
\(392\) | 5.71191 | + | 12.3488i | 0.288495 | + | 0.623707i | ||||
\(393\) | 5.16804i | 0.260693i | ||||||||
\(394\) | −5.72340 | + | 14.3635i | −0.288341 | + | 0.723623i | ||||
\(395\) | 12.8554i | 0.646825i | ||||||||
\(396\) | −1.69912 | − | 1.60966i | −0.0853838 | − | 0.0808887i | ||||
\(397\) | 10.3801 | 0.520962 | 0.260481 | − | 0.965479i | \(-0.416119\pi\) | ||||
0.260481 | + | 0.965479i | \(0.416119\pi\) | |||||||
\(398\) | −11.3944 | + | 28.5956i | −0.571151 | + | 1.43337i | ||||
\(399\) | 5.54983i | 0.277839i | ||||||||
\(400\) | 0.443413 | + | 8.19489i | 0.0221706 | + | 0.409745i | ||||
\(401\) | − | 3.19079i | − | 0.159340i | −0.996821 | − | 0.0796702i | \(-0.974613\pi\) | ||
0.996821 | − | 0.0796702i | \(-0.0253867\pi\) | |||||||
\(402\) | 8.52765 | − | 7.82811i | 0.425320 | − | 0.390430i | ||||
\(403\) | 3.91898i | 0.195218i | ||||||||
\(404\) | −15.7058 | + | 16.5786i | −0.781392 | + | 0.824815i | ||||
\(405\) | − | 1.71706i | − | 0.0853212i | ||||||
\(406\) | −12.0934 | − | 4.81885i | −0.600187 | − | 0.239155i | ||||
\(407\) | −5.05102 | −0.250370 | ||||||||
\(408\) | −7.13355 | − | 15.4222i | −0.353163 | − | 0.763514i | ||||
\(409\) | 23.3932i | 1.15672i | 0.815782 | + | 0.578359i | \(0.196307\pi\) | ||||
−0.815782 | + | 0.578359i | \(0.803693\pi\) | |||||||
\(410\) | 19.7876 | + | 7.88474i | 0.977242 | + | 0.389400i | ||||
\(411\) | − | 21.9540i | − | 1.08291i | ||||||
\(412\) | 17.4584 | − | 18.4286i | 0.860115 | − | 0.907912i | ||||
\(413\) | 18.8367i | 0.926892i | ||||||||
\(414\) | 2.92563 | − | 7.34220i | 0.143787 | − | 0.360850i | ||||
\(415\) | 6.14561 | 0.301676 | ||||||||
\(416\) | 5.95775 | + | 2.00831i | 0.292103 | + | 0.0984655i | ||||
\(417\) | 9.91101 | 0.485344 | ||||||||
\(418\) | 0.989323 | − | 2.48281i | 0.0483893 | − | 0.121438i | ||||
\(419\) | − | 5.86519i | − | 0.286534i | −0.989684 | − | 0.143267i | \(-0.954239\pi\) | ||
0.989684 | − | 0.143267i | \(-0.0457607\pi\) | |||||||
\(420\) | 8.11652 | − | 8.56757i | 0.396046 | − | 0.418055i | ||||
\(421\) | 0.631708 | 0.0307876 | 0.0153938 | − | 0.999882i | \(-0.495100\pi\) | ||||
0.0153938 | + | 0.999882i | \(0.495100\pi\) | |||||||
\(422\) | 13.0064 | − | 32.6411i | 0.633144 | − | 1.58894i | ||||
\(423\) | − | 3.12725i | − | 0.152052i | ||||||
\(424\) | −24.7311 | + | 11.4394i | −1.20105 | + | 0.555545i | ||||
\(425\) | −12.3260 | −0.597897 | ||||||||
\(426\) | 7.55286 | − | 18.9547i | 0.365937 | − | 0.918360i | ||||
\(427\) | 10.8954i | 0.527266i | ||||||||
\(428\) | 20.6521 | − | 21.7998i | 0.998258 | − | 1.05373i | ||||
\(429\) | 1.30065i | 0.0627959i | ||||||||
\(430\) | −1.39920 | + | 3.51144i | −0.0674752 | + | 0.169337i | ||||
\(431\) | 15.9423i | 0.767911i | 0.923351 | + | 0.383956i | \(0.125438\pi\) | ||||
−0.923351 | + | 0.383956i | \(0.874562\pi\) | |||||||
\(432\) | 0.216118 | + | 3.99416i | 0.0103980 | + | 0.192169i | ||||
\(433\) | 36.7027i | 1.76382i | 0.471420 | + | 0.881909i | \(0.343741\pi\) | ||||
−0.471420 | + | 0.881909i | \(0.656259\pi\) | |||||||
\(434\) | −15.9200 | − | 6.34360i | −0.764183 | − | 0.304502i | ||||
\(435\) | 4.59925i | 0.220517i | ||||||||
\(436\) | 0.570050 | − | 0.601728i | 0.0273004 | − | 0.0288176i | ||||
\(437\) | 9.02524 | 0.431736 | ||||||||
\(438\) | −10.3807 | − | 4.13637i | −0.496008 | − | 0.197644i | ||||
\(439\) | − | 16.3559i | − | 0.780624i | −0.920683 | − | 0.390312i | \(-0.872367\pi\) | ||
0.920683 | − | 0.390312i | \(-0.127633\pi\) | |||||||
\(440\) | −5.15834 | + | 2.38599i | −0.245914 | + | 0.113748i | ||||
\(441\) | 4.81038 | 0.229066 | ||||||||
\(442\) | −3.49534 | + | 8.77195i | −0.166257 | + | 0.417239i | ||||
\(443\) | 39.5681 | 1.87993 | 0.939967 | − | 0.341264i | \(-0.110855\pi\) | ||||
0.939967 | + | 0.341264i | \(0.110855\pi\) | |||||||
\(444\) | 6.26670 | + | 5.93678i | 0.297404 | + | 0.281747i | ||||
\(445\) | 23.9642i | 1.13601i | ||||||||
\(446\) | −5.41506 | + | 13.5897i | −0.256411 | + | 0.643491i | ||||
\(447\) | 17.2963 | 0.818085 | ||||||||
\(448\) | −17.8020 | + | 20.9512i | −0.841067 | + | 0.989850i | ||||
\(449\) | 16.4326 | 0.775502 | 0.387751 | − | 0.921764i | \(-0.373252\pi\) | ||||
0.387751 | + | 0.921764i | \(0.373252\pi\) | |||||||
\(450\) | 2.69546 | + | 1.07406i | 0.127065 | + | 0.0506315i | ||||
\(451\) | − | 10.2654i | − | 0.483379i | ||||||
\(452\) | 11.4003 | − | 12.0338i | 0.536223 | − | 0.566021i | ||||
\(453\) | − | 1.72171i | − | 0.0808929i | ||||||
\(454\) | −3.39572 | + | 8.52192i | −0.159369 | + | 0.399954i | ||||
\(455\) | −6.55835 | −0.307460 | ||||||||
\(456\) | −4.14564 | + | 1.91756i | −0.194138 | + | 0.0897982i | ||||
\(457\) | −25.4258 | −1.18937 | −0.594685 | − | 0.803959i | \(-0.702723\pi\) | ||||
−0.594685 | + | 0.803959i | \(0.702723\pi\) | |||||||
\(458\) | −9.34012 | + | 23.4401i | −0.436435 | + | 1.09528i | ||||
\(459\) | −6.00763 | −0.280412 | ||||||||
\(460\) | −13.9328 | − | 13.1993i | −0.649618 | − | 0.615419i | ||||
\(461\) | −15.3459 | −0.714730 | −0.357365 | − | 0.933965i | \(-0.616325\pi\) | ||||
−0.357365 | + | 0.933965i | \(0.616325\pi\) | |||||||
\(462\) | −5.28358 | − | 2.10534i | −0.245814 | − | 0.0979493i | ||||
\(463\) | −7.90078 | −0.367181 | −0.183590 | − | 0.983003i | \(-0.558772\pi\) | ||||
−0.183590 | + | 0.983003i | \(0.558772\pi\) | |||||||
\(464\) | −0.578885 | − | 10.6986i | −0.0268741 | − | 0.496671i | ||||
\(465\) | 6.05452i | 0.280771i | ||||||||
\(466\) | −0.131125 | + | 0.329073i | −0.00607426 | + | 0.0152440i | ||||
\(467\) | − | 8.56126i | − | 0.396168i | −0.980185 | − | 0.198084i | \(-0.936528\pi\) | ||
0.980185 | − | 0.198084i | \(-0.0634718\pi\) | |||||||
\(468\) | 1.52873 | − | 1.61369i | 0.0706658 | − | 0.0745928i | ||||
\(469\) | 12.2092 | − | 25.3423i | 0.563766 | − | 1.17020i | ||||
\(470\) | −7.05444 | − | 2.81097i | −0.325397 | − | 0.129660i | ||||
\(471\) | 20.4651 | 0.942980 | ||||||||
\(472\) | −14.0707 | + | 6.50841i | −0.647658 | + | 0.299574i | ||||
\(473\) | 1.82166 | 0.0837599 | ||||||||
\(474\) | −9.83595 | − | 3.91931i | −0.451780 | − | 0.180020i | ||||
\(475\) | 3.31334i | 0.152026i | ||||||||
\(476\) | −29.9762 | − | 28.3981i | −1.37396 | − | 1.30162i | ||||
\(477\) | 9.63385i | 0.441104i | ||||||||
\(478\) | 24.5255 | + | 9.77261i | 1.12177 | + | 0.446989i | ||||
\(479\) | 29.1248i | 1.33075i | 0.746510 | + | 0.665374i | \(0.231728\pi\) | ||||
−0.746510 | + | 0.665374i | \(0.768272\pi\) | |||||||
\(480\) | 9.20426 | + | 3.10268i | 0.420115 | + | 0.141617i | ||||
\(481\) | − | 4.79707i | − | 0.218727i | ||||||
\(482\) | 1.00098 | + | 0.398858i | 0.0455933 | + | 0.0181675i | ||||
\(483\) | − | 19.2063i | − | 0.873916i | ||||||
\(484\) | −13.9827 | − | 13.2465i | −0.635576 | − | 0.602116i | ||||
\(485\) | 12.6643 | 0.575058 | ||||||||
\(486\) | 1.31376 | + | 0.523490i | 0.0595932 | + | 0.0237460i | ||||
\(487\) | −2.54391 | −0.115276 | −0.0576378 | − | 0.998338i | \(-0.518357\pi\) | ||||
−0.0576378 | + | 0.998338i | \(0.518357\pi\) | |||||||
\(488\) | −8.13872 | + | 3.76456i | −0.368423 | + | 0.170414i | ||||
\(489\) | − | 4.88761i | − | 0.221025i | ||||||
\(490\) | 4.32387 | − | 10.8512i | 0.195332 | − | 0.490208i | ||||
\(491\) | 16.6449i | 0.751172i | 0.926788 | + | 0.375586i | \(0.122559\pi\) | ||||
−0.926788 | + | 0.375586i | \(0.877441\pi\) | |||||||
\(492\) | −12.0656 | + | 12.7361i | −0.543959 | + | 0.574187i | ||||
\(493\) | 16.0918 | 0.724740 | ||||||||
\(494\) | 2.35798 | + | 0.939582i | 0.106091 | + | 0.0422738i | ||||
\(495\) | 2.00940i | 0.0903157i | ||||||||
\(496\) | −0.762053 | − | 14.0838i | −0.0342172 | − | 0.632382i | ||||
\(497\) | − | 49.5832i | − | 2.22411i | ||||||
\(498\) | −1.87365 | + | 4.70214i | −0.0839605 | + | 0.210708i | ||||
\(499\) | −4.08382 | −0.182817 | −0.0914085 | − | 0.995813i | \(-0.529137\pi\) | ||||
−0.0914085 | + | 0.995813i | \(0.529137\pi\) | |||||||
\(500\) | 16.6546 | − | 17.5801i | 0.744815 | − | 0.786205i | ||||
\(501\) | 2.32807i | 0.104010i | ||||||||
\(502\) | −21.0873 | − | 8.40263i | −0.941174 | − | 0.375028i | ||||
\(503\) | 35.4800 | 1.58197 | 0.790987 | − | 0.611833i | \(-0.209568\pi\) | ||||
0.790987 | + | 0.611833i | \(0.209568\pi\) | |||||||
\(504\) | 4.08070 | + | 8.82218i | 0.181769 | + | 0.392971i | ||||
\(505\) | 19.6061 | 0.872458 | ||||||||
\(506\) | −3.42375 | + | 8.59227i | −0.152204 | + | 0.381973i | ||||
\(507\) | 11.7647 | 0.522491 | ||||||||
\(508\) | −14.0561 | + | 14.8372i | −0.623637 | + | 0.658293i | ||||
\(509\) | 28.8834 | 1.28023 | 0.640117 | − | 0.768277i | \(-0.278886\pi\) | ||||
0.640117 | + | 0.768277i | \(0.278886\pi\) | |||||||
\(510\) | −5.40003 | + | 13.5520i | −0.239117 | + | 0.600092i | ||||
\(511\) | −27.1546 | −1.20125 | ||||||||
\(512\) | −21.8012 | − | 6.05886i | −0.963484 | − | 0.267766i | ||||
\(513\) | 1.61491i | 0.0712999i | ||||||||
\(514\) | −28.5390 | − | 11.3719i | −1.25880 | − | 0.501593i | ||||
\(515\) | −21.7939 | −0.960355 | ||||||||
\(516\) | −2.26010 | − | 2.14111i | −0.0994952 | − | 0.0942572i | ||||
\(517\) | 3.65969i | 0.160953i | ||||||||
\(518\) | 19.4870 | + | 7.76494i | 0.856208 | + | 0.341172i | ||||
\(519\) | −5.54784 | −0.243523 | ||||||||
\(520\) | −2.26603 | − | 4.89899i | −0.0993718 | − | 0.214835i | ||||
\(521\) | 28.2902i | 1.23942i | 0.784832 | + | 0.619709i | \(0.212749\pi\) | ||||
−0.784832 | + | 0.619709i | \(0.787251\pi\) | |||||||
\(522\) | −3.51899 | − | 1.40220i | −0.154022 | − | 0.0613728i | ||||
\(523\) | − | 31.8548i | − | 1.39292i | −0.717598 | − | 0.696458i | \(-0.754758\pi\) | ||
0.717598 | − | 0.696458i | \(-0.245242\pi\) | |||||||
\(524\) | −7.10853 | + | 7.50356i | −0.310538 | + | 0.327795i | ||||
\(525\) | 7.05099 | 0.307730 | ||||||||
\(526\) | −1.20148 | + | 3.01525i | −0.0523871 | + | 0.131471i | ||||
\(527\) | 21.1835 | 0.922769 | ||||||||
\(528\) | −0.252913 | − | 4.67419i | −0.0110066 | − | 0.203418i | ||||
\(529\) | −8.23364 | −0.357984 | ||||||||
\(530\) | 21.7320 | + | 8.65950i | 0.943977 | + | 0.376145i | ||||
\(531\) | 5.48116i | 0.237862i | ||||||||
\(532\) | −7.63367 | + | 8.05788i | −0.330962 | + | 0.349353i | ||||
\(533\) | 9.74928 | 0.422288 | ||||||||
\(534\) | −18.3355 | − | 7.30612i | −0.793455 | − | 0.316167i | ||||
\(535\) | −25.7807 | −1.11460 | ||||||||
\(536\) | 23.1488 | + | 0.363847i | 0.999876 | + | 0.0157158i | ||||
\(537\) | 7.50648 | 0.323928 | ||||||||
\(538\) | 3.68698 | + | 1.46915i | 0.158957 | + | 0.0633393i | ||||
\(539\) | −5.62938 | −0.242475 | ||||||||
\(540\) | 2.36177 | − | 2.49302i | 0.101635 | − | 0.107282i | ||||
\(541\) | 27.5286i | 1.18355i | 0.806104 | + | 0.591774i | \(0.201572\pi\) | ||||
−0.806104 | + | 0.591774i | \(0.798428\pi\) | |||||||
\(542\) | 34.0151 | + | 13.5539i | 1.46107 | + | 0.582191i | ||||
\(543\) | −6.75725 | −0.289982 | ||||||||
\(544\) | 10.8556 | − | 32.2038i | 0.465432 | − | 1.38073i | ||||
\(545\) | −0.711612 | −0.0304821 | ||||||||
\(546\) | 1.99949 | − | 5.01794i | 0.0855702 | − | 0.214748i | ||||
\(547\) | 8.24041 | 0.352334 | 0.176167 | − | 0.984360i | \(-0.443630\pi\) | ||||
0.176167 | + | 0.984360i | \(0.443630\pi\) | |||||||
\(548\) | 30.1973 | − | 31.8754i | 1.28996 | − | 1.36165i | ||||
\(549\) | 3.17038i | 0.135309i | ||||||||
\(550\) | −3.15438 | − | 1.25692i | −0.134503 | − | 0.0535953i | ||||
\(551\) | − | 4.32564i | − | 0.184278i | ||||||
\(552\) | 14.3468 | − | 6.63611i | 0.610641 | − | 0.282452i | ||||
\(553\) | −25.7296 | −1.09413 | ||||||||
\(554\) | −26.1280 | − | 10.4112i | −1.11007 | − | 0.442328i | ||||
\(555\) | − | 7.41109i | − | 0.314583i | ||||||
\(556\) | 14.3899 | + | 13.6324i | 0.610270 | + | 0.578142i | ||||
\(557\) | 16.4605 | 0.697453 | 0.348726 | − | 0.937225i | \(-0.386614\pi\) | ||||
0.348726 | + | 0.937225i | \(0.386614\pi\) | |||||||
\(558\) | −4.63244 | − | 1.84588i | −0.196107 | − | 0.0781424i | ||||
\(559\) | 1.73007i | 0.0731742i | ||||||||
\(560\) | 23.5690 | − | 1.27528i | 0.995973 | − | 0.0538905i | ||||
\(561\) | 7.03047 | 0.296827 | ||||||||
\(562\) | −2.75797 | + | 6.92144i | −0.116338 | + | 0.291963i | ||||
\(563\) | 39.4200 | 1.66136 | 0.830678 | − | 0.556753i | \(-0.187953\pi\) | ||||
0.830678 | + | 0.556753i | \(0.187953\pi\) | |||||||
\(564\) | 4.30147 | − | 4.54051i | 0.181125 | − | 0.191190i | ||||
\(565\) | −14.2313 | −0.598716 | ||||||||
\(566\) | −2.13769 | + | 5.36476i | −0.0898537 | + | 0.225498i | ||||
\(567\) | 3.43662 | 0.144325 | ||||||||
\(568\) | 37.0380 | − | 17.1319i | 1.55408 | − | 0.718838i | ||||
\(569\) | 17.5843 | 0.737173 | 0.368586 | − | 0.929593i | \(-0.379842\pi\) | ||||
0.368586 | + | 0.929593i | \(0.379842\pi\) | |||||||
\(570\) | 3.64290 | + | 1.45158i | 0.152584 | + | 0.0608000i | ||||
\(571\) | − | 29.6052i | − | 1.23894i | −0.785020 | − | 0.619470i | \(-0.787348\pi\) | ||
0.785020 | − | 0.619470i | \(-0.212652\pi\) | |||||||
\(572\) | −1.78901 | + | 1.88843i | −0.0748024 | + | 0.0789593i | ||||
\(573\) | −14.3393 | −0.599031 | ||||||||
\(574\) | −15.7810 | + | 39.6042i | −0.658687 | + | 1.65305i | ||||
\(575\) | − | 11.4665i | − | 0.478184i | ||||||
\(576\) | −5.18009 | + | 6.09644i | −0.215837 | + | 0.254019i | ||||
\(577\) | − | 24.8946i | − | 1.03638i | −0.855267 | − | 0.518188i | \(-0.826607\pi\) | ||
0.855267 | − | 0.518188i | \(-0.173393\pi\) | |||||||
\(578\) | 25.0817 | + | 9.99427i | 1.04326 | + | 0.415707i | ||||
\(579\) | −6.63609 | −0.275787 | ||||||||
\(580\) | −6.32617 | + | 6.67772i | −0.262680 | + | 0.277277i | ||||
\(581\) | 12.3002i | 0.510299i | ||||||||
\(582\) | −3.86106 | + | 9.68977i | −0.160046 | + | 0.401654i | ||||
\(583\) | − | 11.2741i | − | 0.466925i | ||||||
\(584\) | −9.38238 | − | 20.2841i | −0.388246 | − | 0.839361i | ||||
\(585\) | −1.90837 | −0.0789014 | ||||||||
\(586\) | 13.0777 | + | 5.21105i | 0.540235 | + | 0.215266i | ||||
\(587\) | 8.76986 | 0.361971 | 0.180985 | − | 0.983486i | \(-0.442071\pi\) | ||||
0.180985 | + | 0.983486i | \(0.442071\pi\) | |||||||
\(588\) | 6.98426 | + | 6.61657i | 0.288026 | + | 0.272863i | ||||
\(589\) | − | 5.69433i | − | 0.234631i | ||||||
\(590\) | 12.3644 | + | 4.92681i | 0.509033 | + | 0.202833i | ||||
\(591\) | 10.9332i | 0.449730i | ||||||||
\(592\) | 0.932798 | + | 17.2394i | 0.0383377 | + | 0.708536i | ||||
\(593\) | − | 13.1468i | − | 0.539875i | −0.962878 | − | 0.269938i | \(-0.912997\pi\) | ||
0.962878 | − | 0.269938i | \(-0.0870031\pi\) | |||||||
\(594\) | −1.53743 | − | 0.612619i | −0.0630817 | − | 0.0251360i | ||||
\(595\) | 35.4503i | 1.45332i | ||||||||
\(596\) | 25.1127 | + | 23.7906i | 1.02866 | + | 0.974503i | ||||
\(597\) | 21.7663i | 0.890834i | ||||||||
\(598\) | −8.16027 | − | 3.25161i | −0.333698 | − | 0.132968i | ||||
\(599\) | 1.49884 | 0.0612408 | 0.0306204 | − | 0.999531i | \(-0.490252\pi\) | ||||
0.0306204 | + | 0.999531i | \(0.490252\pi\) | |||||||
\(600\) | 2.43624 | + | 5.26699i | 0.0994591 | + | 0.215024i | ||||
\(601\) | −35.0733 | −1.43067 | −0.715336 | − | 0.698781i | \(-0.753726\pi\) | ||||
−0.715336 | + | 0.698781i | \(0.753726\pi\) | |||||||
\(602\) | −7.02801 | − | 2.80044i | −0.286440 | − | 0.114137i | ||||
\(603\) | 3.55266 | − | 7.37419i | 0.144675 | − | 0.300300i | ||||
\(604\) | 2.36817 | − | 2.49977i | 0.0963596 | − | 0.101714i | ||||
\(605\) | 16.5361i | 0.672288i | ||||||||
\(606\) | −5.97743 | + | 15.0010i | −0.242816 | + | 0.609375i | ||||
\(607\) | − | 27.4233i | − | 1.11308i | −0.830822 | − | 0.556538i | \(-0.812129\pi\) | ||
0.830822 | − | 0.556538i | \(-0.187871\pi\) | |||||||
\(608\) | −8.65669 | − | 2.91810i | −0.351075 | − | 0.118345i | ||||
\(609\) | −9.20522 | −0.373014 | ||||||||
\(610\) | 7.15173 | + | 2.84974i | 0.289565 | + | 0.115383i | ||||
\(611\) | −3.47569 | −0.140611 | ||||||||
\(612\) | −8.72257 | − | 8.26336i | −0.352589 | − | 0.334027i | ||||
\(613\) | 8.13038 | 0.328383 | 0.164192 | − | 0.986428i | \(-0.447498\pi\) | ||||
0.164192 | + | 0.986428i | \(0.447498\pi\) | |||||||
\(614\) | −4.96788 | + | 12.4675i | −0.200488 | + | 0.503146i | ||||
\(615\) | 15.0619 | 0.607353 | ||||||||
\(616\) | −4.77547 | − | 10.3242i | −0.192409 | − | 0.415975i | ||||
\(617\) | 34.0281 | 1.36992 | 0.684961 | − | 0.728580i | \(-0.259819\pi\) | ||||
0.684961 | + | 0.728580i | \(0.259819\pi\) | |||||||
\(618\) | 6.64446 | − | 16.6750i | 0.267280 | − | 0.670768i | ||||
\(619\) | 14.2214i | 0.571608i | 0.958288 | + | 0.285804i | \(0.0922607\pi\) | ||||
−0.958288 | + | 0.285804i | \(0.907739\pi\) | |||||||
\(620\) | −8.32786 | + | 8.79065i | −0.334455 | + | 0.353041i | ||||
\(621\) | − | 5.58871i | − | 0.224267i | ||||||
\(622\) | 13.9884 | + | 5.57392i | 0.560882 | + | 0.223494i | ||||
\(623\) | −47.9634 | −1.92161 | ||||||||
\(624\) | 4.43919 | − | 0.240197i | 0.177710 | − | 0.00961559i | ||||
\(625\) | −10.5318 | −0.421274 | ||||||||
\(626\) | 3.05087 | − | 7.65650i | 0.121937 | − | 0.306015i | ||||
\(627\) | − | 1.88986i | − | 0.0754737i | ||||||
\(628\) | 29.7135 | + | 28.1492i | 1.18570 | + | 1.12328i | ||||
\(629\) | −25.9299 | −1.03389 | ||||||||
\(630\) | 3.08905 | − | 7.75231i | 0.123071 | − | 0.308860i | ||||
\(631\) | −23.8524 | −0.949549 | −0.474775 | − | 0.880107i | \(-0.657470\pi\) | ||||
−0.474775 | + | 0.880107i | \(0.657470\pi\) | |||||||
\(632\) | −8.89003 | − | 19.2196i | −0.353627 | − | 0.764516i | ||||
\(633\) | − | 24.8456i | − | 0.987525i | ||||||
\(634\) | 20.0173 | + | 7.97627i | 0.794990 | + | 0.316778i | ||||
\(635\) | 17.5466 | 0.696317 | ||||||||
\(636\) | −13.2511 | + | 13.9875i | −0.525442 | + | 0.554642i | ||||
\(637\) | − | 5.34635i | − | 0.211830i | ||||||
\(638\) | 4.11812 | + | 1.64094i | 0.163038 | + | 0.0649654i | ||||
\(639\) | − | 14.4279i | − | 0.570759i | ||||||
\(640\) | 9.09613 | + | 17.1651i | 0.359556 | + | 0.678510i | ||||
\(641\) | − | 45.5542i | − | 1.79928i | −0.436628 | − | 0.899642i | \(-0.643828\pi\) | ||
0.436628 | − | 0.899642i | \(-0.356172\pi\) | |||||||
\(642\) | 7.85995 | − | 19.7254i | 0.310207 | − | 0.778500i | ||||
\(643\) | − | 25.3323i | − | 0.999007i | −0.866312 | − | 0.499504i | \(-0.833516\pi\) | ||
0.866312 | − | 0.499504i | \(-0.166484\pi\) | |||||||
\(644\) | 26.4178 | − | 27.8859i | 1.04101 | − | 1.09886i | ||||
\(645\) | 2.67282i | 0.105242i | ||||||||
\(646\) | 5.07878 | − | 12.7458i | 0.199822 | − | 0.501475i | ||||
\(647\) | −21.7790 | −0.856219 | −0.428110 | − | 0.903727i | \(-0.640820\pi\) | ||||
−0.428110 | + | 0.903727i | \(0.640820\pi\) | |||||||
\(648\) | 1.18741 | + | 2.56711i | 0.0466460 | + | 0.100846i | ||||
\(649\) | − | 6.41437i | − | 0.251786i | ||||||
\(650\) | 1.19373 | − | 2.99579i | 0.0468218 | − | 0.117505i | ||||
\(651\) | −12.1179 | −0.474937 | ||||||||
\(652\) | 6.72280 | − | 7.09640i | 0.263285 | − | 0.277916i | ||||
\(653\) | 35.5811i | 1.39240i | 0.717850 | + | 0.696198i | \(0.245126\pi\) | ||||
−0.717850 | + | 0.696198i | \(0.754874\pi\) | |||||||
\(654\) | 0.216954 | − | 0.544470i | 0.00848358 | − | 0.0212905i | ||||
\(655\) | 8.87382 | 0.346729 | ||||||||
\(656\) | −35.0364 | + | 1.89577i | −1.36794 | + | 0.0740172i | ||||
\(657\) | −7.90152 | −0.308268 | ||||||||
\(658\) | 5.62605 | − | 14.1192i | 0.219326 | − | 0.550424i | ||||
\(659\) | 16.1633i | 0.629633i | 0.949153 | + | 0.314816i | \(0.101943\pi\) | ||||
−0.949153 | + | 0.314816i | \(0.898057\pi\) | |||||||
\(660\) | −2.76388 | + | 2.91748i | −0.107584 | + | 0.113563i | ||||
\(661\) | − | 44.1823i | − | 1.71849i | −0.511562 | − | 0.859247i | \(-0.670933\pi\) | ||
0.511562 | − | 0.859247i | \(-0.329067\pi\) | |||||||
\(662\) | 10.9072 | + | 4.34616i | 0.423919 | + | 0.168918i | ||||
\(663\) | 6.67700i | 0.259313i | ||||||||
\(664\) | −9.18808 | + | 4.24994i | −0.356567 | + | 0.164930i | ||||
\(665\) | 9.52936 | 0.369533 | ||||||||
\(666\) | 5.67038 | + | 2.25947i | 0.219723 | + | 0.0875526i | ||||
\(667\) | 14.9697i | 0.579630i | ||||||||
\(668\) | −3.20220 | + | 3.38016i | −0.123897 | + | 0.130782i | ||||
\(669\) | 10.3441i | 0.399928i | ||||||||
\(670\) | −13.4413 | − | 14.6424i | −0.519282 | − | 0.565687i | ||||
\(671\) | − | 3.71017i | − | 0.143229i | ||||||
\(672\) | −6.20990 | + | 18.4220i | −0.239552 | + | 0.710643i | ||||
\(673\) | − | 14.9441i | − | 0.576054i | −0.957622 | − | 0.288027i | \(-0.907001\pi\) | ||
0.957622 | − | 0.288027i | \(-0.0929994\pi\) | |||||||
\(674\) | 11.8634 | − | 29.7725i | 0.456960 | − | 1.14679i | ||||
\(675\) | 2.05172 | 0.0789707 | ||||||||
\(676\) | 17.0814 | + | 16.1822i | 0.656978 | + | 0.622391i | ||||
\(677\) | − | 6.35008i | − | 0.244054i | −0.992527 | − | 0.122027i | \(-0.961061\pi\) | ||
0.992527 | − | 0.122027i | \(-0.0389394\pi\) | |||||||
\(678\) | 4.33880 | − | 10.8887i | 0.166630 | − | 0.418178i | ||||
\(679\) | 25.3472i | 0.972737i | ||||||||
\(680\) | −26.4808 | + | 12.2487i | −1.01549 | + | 0.469716i | ||||
\(681\) | 6.48668i | 0.248570i | ||||||||
\(682\) | 5.42115 | + | 2.16016i | 0.207587 | + | 0.0827167i | ||||
\(683\) | −44.9065 | −1.71830 | −0.859150 | − | 0.511724i | \(-0.829007\pi\) | ||||
−0.859150 | + | 0.511724i | \(0.829007\pi\) | |||||||
\(684\) | −2.22127 | + | 2.34471i | −0.0849324 | + | 0.0896522i | ||||
\(685\) | −37.6963 | −1.44030 | ||||||||
\(686\) | −9.88590 | − | 3.93922i | −0.377445 | − | 0.150400i | ||||
\(687\) | 17.8420i | 0.680715i | ||||||||
\(688\) | −0.336415 | − | 6.21743i | −0.0128257 | − | 0.237037i | ||||
\(689\) | 10.7072 | 0.407914 | ||||||||
\(690\) | −12.6070 | − | 5.02348i | −0.479939 | − | 0.191241i | ||||
\(691\) | − | 20.5238i | − | 0.780764i | −0.920653 | − | 0.390382i | \(-0.872343\pi\) | ||
0.920653 | − | 0.390382i | \(-0.127657\pi\) | |||||||
\(692\) | −8.05500 | − | 7.63094i | −0.306205 | − | 0.290085i | ||||
\(693\) | −4.02173 | −0.152773 | ||||||||
\(694\) | 1.26214 | + | 0.502921i | 0.0479100 | + | 0.0190906i | ||||
\(695\) | − | 17.0178i | − | 0.645520i | ||||||
\(696\) | −3.18057 | − | 6.87617i | −0.120559 | − | 0.260641i | ||||
\(697\) | − | 52.6984i | − | 1.99610i | ||||||
\(698\) | 16.2310 | + | 6.46752i | 0.614351 | + | 0.244799i | ||||
\(699\) | 0.250483i | 0.00947412i | ||||||||
\(700\) | 10.2374 | + | 9.69848i | 0.386939 | + | 0.366568i | ||||
\(701\) | 38.5142i | 1.45466i | 0.686287 | + | 0.727331i | \(0.259240\pi\) | ||||
−0.686287 | + | 0.727331i | \(0.740760\pi\) | |||||||
\(702\) | 0.581818 | − | 1.46014i | 0.0219593 | − | 0.0551093i | ||||
\(703\) | 6.97020i | 0.262886i | ||||||||
\(704\) | 6.06204 | − | 7.13441i | 0.228472 | − | 0.268888i | ||||
\(705\) | −5.36967 | −0.202233 | ||||||||
\(706\) | 6.31213 | − | 15.8410i | 0.237560 | − | 0.596184i | ||||
\(707\) | 39.2408i | 1.47580i | ||||||||
\(708\) | −7.53922 | + | 7.95818i | −0.283341 | + | 0.299087i | ||||
\(709\) | 8.41092 | 0.315879 | 0.157939 | − | 0.987449i | \(-0.449515\pi\) | ||||
0.157939 | + | 0.987449i | \(0.449515\pi\) | |||||||
\(710\) | −32.5464 | − | 12.9687i | −1.22144 | − | 0.486706i | ||||
\(711\) | −7.48688 | −0.280780 | ||||||||
\(712\) | −16.5722 | − | 35.8280i | −0.621070 | − | 1.34271i | ||||
\(713\) | 19.7064i | 0.738009i | ||||||||
\(714\) | −27.1238 | − | 10.8080i | −1.01508 | − | 0.404478i | ||||
\(715\) | 2.23328 | 0.0835201 | ||||||||
\(716\) | 10.8988 | + | 10.3250i | 0.407306 | + | 0.385863i | ||||
\(717\) | 18.6682 | 0.697176 | ||||||||
\(718\) | 12.0940 | − | 30.3512i | 0.451344 | − | 1.13270i | ||||
\(719\) | − | 26.0757i | − | 0.972461i | −0.873831 | − | 0.486230i | \(-0.838372\pi\) | ||
0.873831 | − | 0.486230i | \(-0.161628\pi\) | |||||||
\(720\) | 6.85819 | − | 0.371086i | 0.255590 | − | 0.0138296i | ||||
\(721\) | − | 43.6197i | − | 1.62448i | ||||||
\(722\) | 21.5352 | + | 8.58109i | 0.801457 | + | 0.319355i | ||||
\(723\) | 0.761920 | 0.0283361 | ||||||||
\(724\) | −9.81096 | − | 9.29446i | −0.364622 | − | 0.345426i | ||||
\(725\) | −5.49567 | −0.204104 | ||||||||
\(726\) | −12.6521 | − | 5.04147i | −0.469565 | − | 0.187107i | ||||
\(727\) | −47.8363 | −1.77415 | −0.887074 | − | 0.461627i | \(-0.847266\pi\) | ||||
−0.887074 | + | 0.461627i | \(0.847266\pi\) | |||||||
\(728\) | 9.80515 | − | 4.53537i | 0.363403 | − | 0.168092i | ||||
\(729\) | 1.00000 | 0.0370370 | ||||||||
\(730\) | −7.10238 | + | 17.8242i | −0.262871 | + | 0.659704i | ||||
\(731\) | 9.35166 | 0.345884 | ||||||||
\(732\) | −4.36079 | + | 4.60313i | −0.161180 | + | 0.170137i | ||||
\(733\) | 44.2327i | 1.63377i | 0.576798 | + | 0.816887i | \(0.304302\pi\) | ||||
−0.576798 | + | 0.816887i | \(0.695698\pi\) | |||||||
\(734\) | 11.8310 | + | 4.71428i | 0.436691 | + | 0.174007i | ||||
\(735\) | − | 8.25969i | − | 0.304663i | ||||||
\(736\) | 29.9582 | + | 10.0987i | 1.10427 | + | 0.372242i | ||||
\(737\) | −4.15753 | + | 8.62970i | −0.153144 | + | 0.317879i | ||||
\(738\) | −4.59201 | + | 11.5242i | −0.169034 | + | 0.424211i | ||||
\(739\) | −21.7388 | −0.799673 | −0.399837 | − | 0.916586i | \(-0.630933\pi\) | ||||
−0.399837 | + | 0.916586i | \(0.630933\pi\) | |||||||
\(740\) | 10.1938 | − | 10.7603i | 0.374731 | − | 0.395555i | ||||
\(741\) | 1.79484 | 0.0659351 | ||||||||
\(742\) | −17.3317 | + | 43.4957i | −0.636266 | + | 1.59678i | ||||
\(743\) | − | 5.66794i | − | 0.207937i | −0.994581 | − | 0.103968i | \(-0.966846\pi\) | ||
0.994581 | − | 0.103968i | \(-0.0331541\pi\) | |||||||
\(744\) | −4.18695 | − | 9.05189i | −0.153501 | − | 0.331858i | ||||
\(745\) | − | 29.6987i | − | 1.08807i | ||||||
\(746\) | −6.06209 | + | 15.2135i | −0.221949 | + | 0.557005i | ||||
\(747\) | 3.57916i | 0.130954i | ||||||||
\(748\) | 10.2077 | + | 9.67027i | 0.373229 | + | 0.353580i | ||||
\(749\) | − | 51.5992i | − | 1.88539i | ||||||
\(750\) | 6.33852 | − | 15.9072i | 0.231450 | − | 0.580850i | ||||
\(751\) | − | 29.4760i | − | 1.07560i | −0.843074 | − | 0.537798i | \(-0.819256\pi\) | ||
0.843074 | − | 0.537798i | \(-0.180744\pi\) | |||||||
\(752\) | 12.4907 | − | 0.675854i | 0.455490 | − | 0.0246459i | ||||
\(753\) | −16.0512 | −0.584937 | ||||||||
\(754\) | −1.55844 | + | 3.91107i | −0.0567549 | + | 0.142433i | ||||
\(755\) | −2.95627 | −0.107590 | ||||||||
\(756\) | 4.98969 | + | 4.72700i | 0.181473 | + | 0.171919i | ||||
\(757\) | 35.9361i | 1.30612i | 0.757307 | + | 0.653060i | \(0.226515\pi\) | ||||
−0.757307 | + | 0.653060i | \(0.773485\pi\) | |||||||
\(758\) | 47.6643 | + | 18.9927i | 1.73124 | + | 0.689846i | ||||
\(759\) | 6.54023i | 0.237395i | ||||||||
\(760\) | 3.29257 | + | 7.11830i | 0.119434 | + | 0.258208i | ||||
\(761\) | −46.8165 | −1.69710 | −0.848548 | − | 0.529119i | \(-0.822523\pi\) | ||||
−0.848548 | + | 0.529119i | \(0.822523\pi\) | |||||||
\(762\) | −5.34956 | + | 13.4253i | −0.193794 | + | 0.486348i | ||||
\(763\) | − | 1.42427i | − | 0.0515619i | ||||||
\(764\) | −20.8194 | − | 19.7233i | −0.753219 | − | 0.713565i | ||||
\(765\) | 10.3154i | 0.372955i | ||||||||
\(766\) | 43.1505 | + | 17.1941i | 1.55909 | + | 0.621248i | ||||
\(767\) | 6.09187 | 0.219965 | ||||||||
\(768\) | −15.9066 | + | 1.72641i | −0.573979 | + | 0.0622966i | ||||
\(769\) | − | 50.4895i | − | 1.82070i | −0.413840 | − | 0.910350i | \(-0.635813\pi\) | ||
0.413840 | − | 0.910350i | \(-0.364187\pi\) | |||||||
\(770\) | −3.61499 | + | 9.07221i | −0.130275 | + | 0.326940i | ||||
\(771\) | −21.7232 | −0.782342 | ||||||||
\(772\) | −9.63505 | − | 9.12781i | −0.346773 | − | 0.328517i | ||||
\(773\) | 17.7120 | 0.637056 | 0.318528 | − | 0.947913i | \(-0.396812\pi\) | ||||
0.318528 | + | 0.947913i | \(0.396812\pi\) | |||||||
\(774\) | −2.04503 | − | 0.814881i | −0.0735072 | − | 0.0292903i | ||||
\(775\) | −7.23457 | −0.259874 | ||||||||
\(776\) | −18.9340 | + | 8.75791i | −0.679691 | + | 0.314391i | ||||
\(777\) | 14.8330 | 0.532131 | ||||||||
\(778\) | −40.9795 | − | 16.3290i | −1.46919 | − | 0.585424i | ||||
\(779\) | −14.1658 | −0.507544 | ||||||||
\(780\) | −2.77079 | − | 2.62492i | −0.0992103 | − | 0.0939873i | ||||
\(781\) | 16.8843i | 0.604170i | ||||||||
\(782\) | −17.5761 | + | 44.1092i | −0.628521 | + | 1.57734i | ||||
\(783\) | −2.67857 | −0.0957242 | ||||||||
\(784\) | 1.03961 | + | 19.2134i | 0.0371288 | + | 0.686193i | ||||
\(785\) | − | 35.1396i | − | 1.25419i | ||||||
\(786\) | −2.70542 | + | 6.78955i | −0.0964992 | + | 0.242175i | ||||
\(787\) | −49.2798 | −1.75664 | −0.878318 | − | 0.478078i | \(-0.841334\pi\) | ||||
−0.878318 | + | 0.478078i | \(0.841334\pi\) | |||||||
\(788\) | −15.0383 | + | 15.8740i | −0.535718 | + | 0.565488i | ||||
\(789\) | 2.29514i | 0.0817090i | ||||||||
\(790\) | −6.72968 | + | 16.8889i | −0.239431 | + | 0.600879i | ||||
\(791\) | − | 28.4834i | − | 1.01275i | ||||||
\(792\) | −1.38958 | − | 3.00418i | −0.0493766 | − | 0.106749i | ||||
\(793\) | 3.52363 | 0.125128 | ||||||||
\(794\) | 13.6369 | + | 5.43388i | 0.483957 | + | 0.192841i | ||||
\(795\) | 16.5419 | 0.586679 | ||||||||
\(796\) | −29.9390 | + | 31.6028i | −1.06116 | + | 1.12013i | ||||
\(797\) | 8.35617 | 0.295991 | 0.147995 | − | 0.988988i | \(-0.452718\pi\) | ||||
0.147995 | + | 0.988988i | \(0.452718\pi\) | |||||||
\(798\) | −2.90528 | + | 7.29113i | −0.102846 | + | 0.258103i | ||||
\(799\) | 18.7874i | 0.664649i | ||||||||
\(800\) | −3.70741 | + | 10.9982i | −0.131077 | + | 0.388846i | ||||
\(801\) | −13.9566 | −0.493130 | ||||||||
\(802\) | 1.67035 | − | 4.19192i | 0.0589820 | − | 0.148022i | ||||
\(803\) | 9.24682 | 0.326313 | ||||||||
\(804\) | 15.3012 | − | 5.82009i | 0.539632 | − | 0.205259i | ||||
\(805\) | −32.9782 | −1.16233 | ||||||||
\(806\) | −2.05155 | + | 5.14859i | −0.0722627 | + | 0.181351i | ||||
\(807\) | 2.80644 | 0.0987914 | ||||||||
\(808\) | −29.3123 | + | 13.5584i | −1.03120 | + | 0.476982i | ||||
\(809\) | 50.3086i | 1.76876i | 0.466772 | + | 0.884378i | \(0.345417\pi\) | ||||
−0.466772 | + | 0.884378i | \(0.654583\pi\) | |||||||
\(810\) | 0.898862 | − | 2.25579i | 0.0315828 | − | 0.0792605i | ||||
\(811\) | −33.5942 | −1.17965 | −0.589826 | − | 0.807530i | \(-0.700804\pi\) | ||||
−0.589826 | + | 0.807530i | \(0.700804\pi\) | |||||||
\(812\) | −13.3652 | − | 12.6616i | −0.469027 | − | 0.444335i | ||||
\(813\) | 25.8915 | 0.908053 | ||||||||
\(814\) | −6.63581 | − | 2.64416i | −0.232585 | − | 0.0926777i | ||||
\(815\) | −8.39230 | −0.293969 | ||||||||
\(816\) | −1.29835 | − | 23.9954i | −0.0454515 | − | 0.840008i | ||||
\(817\) | − | 2.51381i | − | 0.0879472i | ||||||
\(818\) | −12.2461 | + | 30.7330i | −0.428175 | + | 1.07455i | ||||
\(819\) | − | 3.81953i | − | 0.133465i | ||||||
\(820\) | 21.8686 | + | 20.7173i | 0.763683 | + | 0.723479i | ||||
\(821\) | −18.3022 | −0.638750 | −0.319375 | − | 0.947628i | \(-0.603473\pi\) | ||||
−0.319375 | + | 0.947628i | \(0.603473\pi\) | |||||||
\(822\) | 11.4927 | − | 28.8422i | 0.400855 | − | 1.00599i | ||||
\(823\) | − | 35.5431i | − | 1.23895i | −0.785015 | − | 0.619477i | \(-0.787345\pi\) | ||
0.785015 | − | 0.619477i | \(-0.212655\pi\) | |||||||
\(824\) | 32.5833 | − | 15.0714i | 1.13509 | − | 0.525037i | ||||
\(825\) | −2.40104 | −0.0835935 | ||||||||
\(826\) | −9.86082 | + | 24.7468i | −0.343102 | + | 0.861052i | ||||
\(827\) | 48.9483i | 1.70210i | 0.525085 | + | 0.851050i | \(0.324033\pi\) | ||||
−0.525085 | + | 0.851050i | \(0.675967\pi\) | |||||||
\(828\) | 7.68715 | − | 8.11433i | 0.267147 | − | 0.281992i | ||||
\(829\) | 4.41929 | 0.153488 | 0.0767441 | − | 0.997051i | \(-0.475548\pi\) | ||||
0.0767441 | + | 0.997051i | \(0.475548\pi\) | |||||||
\(830\) | 8.07384 | + | 3.21717i | 0.280247 | + | 0.111670i | ||||
\(831\) | −19.8880 | −0.689907 | ||||||||
\(832\) | 6.77571 | + | 5.75726i | 0.234905 | + | 0.199597i | ||||
\(833\) | −28.8990 | −1.00129 | ||||||||
\(834\) | 13.0207 | + | 5.18832i | 0.450869 | + | 0.179657i | ||||
\(835\) | 3.99742 | 0.138336 | ||||||||
\(836\) | 2.59946 | − | 2.74391i | 0.0899042 | − | 0.0949003i | ||||
\(837\) | −3.52610 | −0.121880 | ||||||||
\(838\) | 3.07037 | − | 7.70544i | 0.106064 | − | 0.266180i | ||||
\(839\) | − | 46.7153i | − | 1.61279i | −0.591377 | − | 0.806395i | \(-0.701415\pi\) | ||
0.591377 | − | 0.806395i | \(-0.298585\pi\) | |||||||
\(840\) | 15.1482 | − | 7.00678i | 0.522662 | − | 0.241757i | ||||
\(841\) | −21.8253 | −0.752596 | ||||||||
\(842\) | 0.829911 | + | 0.330693i | 0.0286006 | + | 0.0113964i | ||||
\(843\) | 5.26843i | 0.181454i | ||||||||
\(844\) | 34.1746 | − | 36.0737i | 1.17634 | − | 1.24171i | ||||
\(845\) | − | 20.2007i | − | 0.694926i | ||||||
\(846\) | 1.63709 | − | 4.10845i | 0.0562842 | − | 0.141251i | ||||
\(847\) | −33.0964 | −1.13721 | ||||||||
\(848\) | −38.4791 | + | 2.08204i | −1.32138 | + | 0.0714977i | ||||
\(849\) | 4.08352i | 0.140146i | ||||||||
\(850\) | −16.1933 | − | 6.45253i | −0.555427 | − | 0.221320i | ||||
\(851\) | − | 24.1217i | − | 0.826883i | ||||||
\(852\) | 19.8453 | − | 20.9481i | 0.679887 | − | 0.717669i | ||||
\(853\) | −34.4954 | −1.18110 | −0.590550 | − | 0.807001i | \(-0.701089\pi\) | ||||
−0.590550 | + | 0.807001i | \(0.701089\pi\) | |||||||
\(854\) | −5.70364 | + | 14.3139i | −0.195175 | + | 0.489812i | ||||
\(855\) | 2.77289 | 0.0948307 | ||||||||
\(856\) | 38.5438 | − | 17.8284i | 1.31740 | − | 0.609363i | ||||
\(857\) | − | 9.03924i | − | 0.308775i | −0.988010 | − | 0.154387i | \(-0.950660\pi\) | ||
0.988010 | − | 0.154387i | \(-0.0493404\pi\) | |||||||
\(858\) | −0.680877 | + | 1.70874i | −0.0232447 | + | 0.0583353i | ||||
\(859\) | 52.6776i | 1.79734i | 0.438628 | + | 0.898669i | \(0.355465\pi\) | ||||
−0.438628 | + | 0.898669i | \(0.644535\pi\) | |||||||
\(860\) | −3.67641 | + | 3.88071i | −0.125364 | + | 0.132331i | ||||
\(861\) | 30.1458i | 1.02737i | ||||||||
\(862\) | −8.34562 | + | 20.9443i | −0.284253 | + | 0.713364i | ||||
\(863\) | 35.0023i | 1.19149i | 0.803173 | + | 0.595746i | \(0.203144\pi\) | ||||
−0.803173 | + | 0.595746i | \(0.796856\pi\) | |||||||
\(864\) | −1.80698 | + | 5.36049i | −0.0614746 | + | 0.182368i | ||||
\(865\) | 9.52595i | 0.323892i | ||||||||
\(866\) | −19.2135 | + | 48.2184i | −0.652901 | + | 1.63853i | ||||
\(867\) | 19.0916 | 0.648385 | ||||||||
\(868\) | −17.5941 | − | 16.6679i | −0.597184 | − | 0.565745i | ||||
\(869\) | 8.76158 | 0.297216 | ||||||||
\(870\) | −2.40766 | + | 6.04229i | −0.0816274 | + | 0.204853i | ||||
\(871\) | −8.19582 | − | 3.94850i | −0.277705 | − | 0.133790i | ||||
\(872\) | 1.06391 | − | 0.492109i | 0.0360284 | − | 0.0166649i | ||||
\(873\) | 7.37562i | 0.249627i | ||||||||
\(874\) | 11.8570 | + | 4.72463i | 0.401068 | + | 0.159813i | ||||
\(875\) | − | 41.6113i | − | 1.40672i | ||||||
\(876\) | −11.4723 | − | 10.8684i | −0.387615 | − | 0.367208i | ||||
\(877\) | −40.7293 | −1.37533 | −0.687666 | − | 0.726027i | \(-0.741365\pi\) | ||||
−0.687666 | + | 0.726027i | \(0.741365\pi\) | |||||||
\(878\) | 8.56215 | − | 21.4877i | 0.288959 | − | 0.725174i | ||||
\(879\) | 9.95443 | 0.335755 | ||||||||
\(880\) | −8.02585 | + | 0.434266i | −0.270551 | + | 0.0146391i | ||||
\(881\) | −12.1623 | −0.409759 | −0.204880 | − | 0.978787i | \(-0.565680\pi\) | ||||
−0.204880 | + | 0.978787i | \(0.565680\pi\) | |||||||
\(882\) | 6.31967 | + | 2.51819i | 0.212794 | + | 0.0847918i | ||||
\(883\) | 25.2022 | 0.848121 | 0.424061 | − | 0.905634i | \(-0.360604\pi\) | ||||
0.424061 | + | 0.905634i | \(0.360604\pi\) | |||||||
\(884\) | −9.18407 | + | 9.69444i | −0.308894 | + | 0.326059i | ||||
\(885\) | 9.41145 | 0.316363 | ||||||||
\(886\) | 51.9828 | + | 20.7135i | 1.74640 | + | 0.695884i | ||||
\(887\) | − | 20.0308i | − | 0.672569i | −0.941761 | − | 0.336284i | \(-0.890830\pi\) | ||
0.941761 | − | 0.336284i | \(-0.109170\pi\) | |||||||
\(888\) | 5.12507 | + | 11.0800i | 0.171986 | + | 0.371822i | ||||
\(889\) | 35.1190i | 1.17785i | ||||||||
\(890\) | −12.5450 | + | 31.4831i | −0.420510 | + | 1.05532i | ||||
\(891\) | −1.17026 | −0.0392051 | ||||||||
\(892\) | −14.2282 | + | 15.0188i | −0.476394 | + | 0.502868i | ||||
\(893\) | 5.05022 | 0.168999 | ||||||||
\(894\) | 22.7231 | + | 9.05443i | 0.759974 | + | 0.302825i | ||||
\(895\) | − | 12.8890i | − | 0.430833i | ||||||
\(896\) | −34.3553 | + | 18.2056i | −1.14773 | + | 0.608205i | ||||
\(897\) | −6.21140 | −0.207393 | ||||||||
\(898\) | 21.5884 | + | 8.60231i | 0.720416 | + | 0.287063i | ||||
\(899\) | 9.44490 | 0.315005 | ||||||||
\(900\) | 2.97892 | + | 2.82210i | 0.0992975 | + | 0.0940699i | ||||
\(901\) | − | 57.8766i | − | 1.92815i | ||||||
\(902\) | 5.37384 | − | 13.4862i | 0.178929 | − | 0.449043i | ||||
\(903\) | −5.34955 | −0.178022 | ||||||||
\(904\) | 21.2767 | − | 9.84154i | 0.707653 | − | 0.327325i | ||||
\(905\) | 11.6026i | 0.385683i | ||||||||
\(906\) | 0.901298 | − | 2.26191i | 0.0299436 | − | 0.0751468i | ||||
\(907\) | − | 34.9208i | − | 1.15953i | −0.814785 | − | 0.579763i | \(-0.803145\pi\) | ||
0.814785 | − | 0.579763i | \(-0.196855\pi\) | |||||||
\(908\) | −8.92229 | + | 9.41811i | −0.296097 | + | 0.312551i | ||||
\(909\) | 11.4184i | 0.378725i | ||||||||
\(910\) | −8.61608 | − | 3.43323i | −0.285620 | − | 0.113811i | ||||
\(911\) | − | 8.50206i | − | 0.281686i | −0.990032 | − | 0.140843i | \(-0.955019\pi\) | ||
0.990032 | − | 0.140843i | \(-0.0449813\pi\) | |||||||
\(912\) | −6.45019 | + | 0.349010i | −0.213587 | + | 0.0115569i | ||||
\(913\) | − | 4.18854i | − | 0.138620i | ||||||
\(914\) | −33.4034 | − | 13.3102i | −1.10489 | − | 0.440262i | ||||
\(915\) | 5.44373 | 0.179964 | ||||||||
\(916\) | −24.5413 | + | 25.9051i | −0.810867 | + | 0.855928i | ||||
\(917\) | 17.7606i | 0.586507i | ||||||||
\(918\) | −7.89257 | − | 3.14494i | −0.260493 | − | 0.103798i | ||||
\(919\) | 36.1724 | 1.19322 | 0.596609 | − | 0.802532i | \(-0.296514\pi\) | ||||
0.596609 | + | 0.802532i | \(0.296514\pi\) | |||||||
\(920\) | −11.3946 | − | 24.6343i | −0.375668 | − | 0.812168i | ||||
\(921\) | 9.48993i | 0.312704i | ||||||||
\(922\) | −20.1608 | − | 8.03344i | −0.663961 | − | 0.264567i | ||||
\(923\) | −16.0354 | −0.527813 | ||||||||
\(924\) | −5.83922 | − | 5.53181i | −0.192096 | − | 0.181983i | ||||
\(925\) | 8.85555 | 0.291169 | ||||||||
\(926\) | −10.3797 | − | 4.13598i | −0.341098 | − | 0.135917i | ||||
\(927\) | − | 12.6926i | − | 0.416880i | ||||||
\(928\) | 4.84011 | − | 14.3584i | 0.158884 | − | 0.471338i | ||||
\(929\) | 12.1272i | 0.397879i | 0.980012 | + | 0.198940i | \(0.0637497\pi\) | ||||
−0.980012 | + | 0.198940i | \(0.936250\pi\) | |||||||
\(930\) | −3.16948 | + | 7.95416i | −0.103931 | + | 0.260827i | ||||
\(931\) | 7.76831i | 0.254596i | ||||||||
\(932\) | −0.344533 | + | 0.363680i | −0.0112856 | + | 0.0119127i | ||||
\(933\) | 10.6476 | 0.348587 | ||||||||
\(934\) | 4.48174 | − | 11.2474i | 0.146647 | − | 0.368027i | ||||
\(935\) | − | 12.0717i | − | 0.394787i | ||||||
\(936\) | 2.85314 | − | 1.31972i | 0.0932577 | − | 0.0431363i | ||||
\(937\) | 9.65964i | 0.315567i | 0.987474 | + | 0.157783i | \(0.0504348\pi\) | ||||
−0.987474 | + | 0.157783i | \(0.949565\pi\) | |||||||
\(938\) | 29.3063 | − | 26.9022i | 0.956885 | − | 0.878390i | ||||
\(939\) | − | 5.82795i | − | 0.190188i | ||||||
\(940\) | −7.79630 | − | 7.38586i | −0.254287 | − | 0.240900i | ||||
\(941\) | − | 34.2385i | − | 1.11614i | −0.829793 | − | 0.558071i | \(-0.811542\pi\) | ||
0.829793 | − | 0.558071i | \(-0.188458\pi\) | |||||||
\(942\) | 26.8861 | + | 10.7133i | 0.875997 | + | 0.349057i | ||||
\(943\) | 49.0237 | 1.59643 | ||||||||
\(944\) | −21.8926 | + | 1.18457i | −0.712544 | + | 0.0385546i | ||||
\(945\) | − | 5.90087i | − | 0.191955i | ||||||
\(946\) | 2.39322 | + | 0.953621i | 0.0778102 | + | 0.0310049i | ||||
\(947\) | 46.1972i | 1.50121i | 0.660754 | + | 0.750603i | \(0.270237\pi\) | ||||
−0.660754 | + | 0.750603i | \(0.729763\pi\) | |||||||
\(948\) | −10.8703 | − | 10.2980i | −0.353052 | − | 0.334465i | ||||
\(949\) | 8.78191i | 0.285073i | ||||||||
\(950\) | −1.73450 | + | 4.35292i | −0.0562746 | + | 0.141227i | ||||
\(951\) | 15.2367 | 0.494084 | ||||||||
\(952\) | −24.5153 | − | 53.0004i | −0.794546 | − | 1.71775i | ||||
\(953\) | −16.5122 | −0.534882 | −0.267441 | − | 0.963574i | \(-0.586178\pi\) | ||||
−0.267441 | + | 0.963574i | \(0.586178\pi\) | |||||||
\(954\) | −5.04323 | + | 12.6565i | −0.163280 | + | 0.409770i | ||||
\(955\) | 24.6213i | 0.796726i | ||||||||
\(956\) | 27.1046 | + | 25.6777i | 0.876626 | + | 0.830475i | ||||
\(957\) | 3.13461 | 0.101328 | ||||||||
\(958\) | −15.2466 | + | 38.2630i | −0.492594 | + | 1.23622i | ||||
\(959\) | − | 75.4477i | − | 2.43633i | ||||||
\(960\) | 10.4679 | + | 8.89451i | 0.337851 | + | 0.287069i | ||||
\(961\) | −18.5666 | −0.598922 | ||||||||
\(962\) | 2.51122 | − | 6.30218i | 0.0809649 | − | 0.203190i | ||||
\(963\) | − | 15.0145i | − | 0.483835i | ||||||
\(964\) | 1.10624 | + | 1.04801i | 0.0356297 | + | 0.0337540i | ||||
\(965\) | 11.3945i | 0.366803i | ||||||||
\(966\) | 10.0543 | − | 25.2324i | 0.323492 | − | 0.811839i | ||||
\(967\) | − | 11.6189i | − | 0.373639i | −0.982394 | − | 0.186820i | \(-0.940182\pi\) | ||
0.982394 | − | 0.186820i | \(-0.0598180\pi\) | |||||||
\(968\) | −11.4354 | − | 24.7225i | −0.367547 | − | 0.794612i | ||||
\(969\) | − | 9.70176i | − | 0.311666i | ||||||
\(970\) | 16.6379 | + | 6.62966i | 0.534210 | + | 0.212866i | ||||
\(971\) | − | 17.4663i | − | 0.560520i | −0.959924 | − | 0.280260i | \(-0.909579\pi\) | ||
0.959924 | − | 0.280260i | \(-0.0904206\pi\) | |||||||
\(972\) | 1.45192 | + | 1.37548i | 0.0465702 | + | 0.0441185i | ||||
\(973\) | 34.0604 | 1.09193 | ||||||||
\(974\) | −3.34208 | − | 1.33171i | −0.107087 | − | 0.0426709i | ||||
\(975\) | − | 2.28032i | − | 0.0730288i | ||||||
\(976\) | −12.6630 | + | 0.685175i | −0.405333 | + | 0.0219319i | ||||
\(977\) | −17.0470 | −0.545381 | −0.272690 | − | 0.962102i | \(-0.587913\pi\) | ||||
−0.272690 | + | 0.962102i | \(0.587913\pi\) | |||||||
\(978\) | 2.55862 | − | 6.42113i | 0.0818155 | − | 0.205325i | ||||
\(979\) | 16.3328 | 0.521997 | ||||||||
\(980\) | 11.3610 | − | 11.9924i | 0.362915 | − | 0.383082i | ||||
\(981\) | − | 0.414438i | − | 0.0132320i | ||||||
\(982\) | −8.71343 | + | 21.8673i | −0.278057 | + | 0.697814i | ||||
\(983\) | −36.1727 | −1.15373 | −0.576865 | − | 0.816839i | \(-0.695724\pi\) | ||||
−0.576865 | + | 0.816839i | \(0.695724\pi\) | |||||||
\(984\) | −22.5185 | + | 10.4159i | −0.717862 | + | 0.332047i | ||||
\(985\) | 18.7728 | 0.598152 | ||||||||
\(986\) | 21.1408 | + | 8.42392i | 0.673259 | + | 0.268272i | ||||
\(987\) | − | 10.7472i | − | 0.342087i | ||||||
\(988\) | 2.60596 | + | 2.46876i | 0.0829065 | + | 0.0785419i | ||||
\(989\) | 8.69955i | 0.276630i | ||||||||
\(990\) | −1.05190 | + | 2.63986i | −0.0334316 | + | 0.0839003i | ||||
\(991\) | 2.72634 | 0.0866051 | 0.0433025 | − | 0.999062i | \(-0.486212\pi\) | ||||
0.0433025 | + | 0.999062i | \(0.486212\pi\) | |||||||
\(992\) | 6.37159 | − | 18.9016i | 0.202298 | − | 0.600127i | ||||
\(993\) | 8.30227 | 0.263465 | ||||||||
\(994\) | 25.9563 | − | 65.1403i | 0.823285 | − | 2.06613i | ||||
\(995\) | 37.3739 | 1.18483 | ||||||||
\(996\) | −4.92305 | + | 5.19663i | −0.155993 | + | 0.164662i | ||||
\(997\) | −0.407309 | −0.0128996 | −0.00644980 | − | 0.999979i | \(-0.502053\pi\) | ||||
−0.00644980 | + | 0.999979i | \(0.502053\pi\) | |||||||
\(998\) | −5.36515 | − | 2.13784i | −0.169831 | − | 0.0676722i | ||||
\(999\) | 4.31616 | 0.136557 |
(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 | 804.2.e.b.535.30 | yes | 34 | |
4.3 | odd | 2 | 804.2.e.a.535.6 | yes | 34 | ||
67.66 | odd | 2 | 804.2.e.a.535.5 | ✓ | 34 | ||
268.267 | even | 2 | inner | 804.2.e.b.535.29 | yes | 34 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
804.2.e.a.535.5 | ✓ | 34 | 67.66 | odd | 2 | ||
804.2.e.a.535.6 | yes | 34 | 4.3 | odd | 2 | ||
804.2.e.b.535.29 | yes | 34 | 268.267 | even | 2 | inner | |
804.2.e.b.535.30 | yes | 34 | 1.1 | even | 1 | trivial |