Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(62,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([7, 11]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.62");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.w (of order \(14\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(120\) |
Relative dimension: | \(20\) over \(\Q(\zeta_{14})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{14}]$ |
Embedding invariants
Embedding label | 251.4 | ||
Character | \(\chi\) | \(=\) | 441.251 |
Dual form | 441.2.w.a.188.4 |
$q$-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 \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{9}{14}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.61627 | − | 1.28893i | −1.14287 | − | 0.911411i | −0.145911 | − | 0.989298i | \(-0.546611\pi\) |
−0.996962 | + | 0.0778871i | \(0.975183\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.505936 | + | 2.21665i | 0.252968 | + | 1.10832i | ||||
\(5\) | −3.93097 | − | 1.89305i | −1.75798 | − | 0.846599i | −0.974241 | − | 0.225511i | \(-0.927595\pi\) |
−0.783741 | − | 0.621088i | \(-0.786691\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −2.02319 | + | 1.70491i | −0.764693 | + | 0.644395i | ||||
\(8\) | 0.245458 | − | 0.509698i | 0.0867824 | − | 0.180206i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 3.91348 | + | 8.12642i | 1.23755 | + | 2.56980i | ||||
\(11\) | 3.17960 | + | 2.53564i | 0.958684 | + | 0.764525i | 0.971902 | − | 0.235387i | \(-0.0756359\pi\) |
−0.0132172 | + | 0.999913i | \(0.504207\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −1.07613 | − | 0.858184i | −0.298464 | − | 0.238017i | 0.462794 | − | 0.886466i | \(-0.346847\pi\) |
−0.761259 | + | 0.648448i | \(0.775418\pi\) | |||||||
\(14\) | 5.46752 | − | 0.147843i | 1.46126 | − | 0.0395126i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 3.04329 | − | 1.46557i | 0.760824 | − | 0.366393i | ||||
\(17\) | 0.000551178 | − | 0.00241487i | 0.000133680 | − | 0.000585691i | −0.974861 | − | 0.222814i | \(-0.928476\pi\) |
0.974995 | + | 0.222228i | \(0.0713330\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | − | 4.84659i | − | 1.11188i | −0.831221 | − | 0.555942i | \(-0.812358\pi\) | ||
0.831221 | − | 0.555942i | \(-0.187642\pi\) | |||||||
\(20\) | 2.20742 | − | 9.67134i | 0.493594 | − | 2.16258i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −1.87081 | − | 8.19655i | −0.398858 | − | 1.74751i | ||||
\(23\) | 1.08174 | − | 0.246900i | 0.225559 | − | 0.0514823i | −0.108248 | − | 0.994124i | \(-0.534524\pi\) |
0.333806 | + | 0.942642i | \(0.391667\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 8.75139 | + | 10.9739i | 1.75028 | + | 2.19478i | ||||
\(26\) | 0.633172 | + | 2.77411i | 0.124175 | + | 0.544047i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −4.80279 | − | 3.62212i | −0.907642 | − | 0.684517i | ||||
\(29\) | 1.58525 | + | 0.361823i | 0.294374 | + | 0.0671889i | 0.367157 | − | 0.930159i | \(-0.380331\pi\) |
−0.0727835 | + | 0.997348i | \(0.523188\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | − | 3.23885i | − | 0.581715i | −0.956766 | − | 0.290857i | \(-0.906059\pi\) | ||
0.956766 | − | 0.290857i | \(-0.0939405\pi\) | |||||||
\(32\) | −7.91087 | − | 1.80561i | −1.39846 | − | 0.319189i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −0.00400344 | + | 0.00319264i | −0.000686585 | + | 0.000547533i | ||||
\(35\) | 11.1806 | − | 2.87194i | 1.88986 | − | 0.485446i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −2.10701 | + | 9.23141i | −0.346390 | + | 1.51764i | 0.438916 | + | 0.898528i | \(0.355363\pi\) |
−0.785306 | + | 0.619107i | \(0.787495\pi\) | |||||||
\(38\) | −6.24691 | + | 7.83338i | −1.01338 | + | 1.27074i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −1.92977 | + | 1.53894i | −0.305124 | + | 0.243328i | ||||
\(41\) | 7.61140 | + | 3.66546i | 1.18870 | + | 0.572449i | 0.920435 | − | 0.390896i | \(-0.127835\pi\) |
0.268267 | + | 0.963345i | \(0.413549\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −0.421609 | + | 0.203036i | −0.0642948 | + | 0.0309627i | −0.465755 | − | 0.884914i | \(-0.654217\pi\) |
0.401460 | + | 0.915877i | \(0.368503\pi\) | |||||||
\(44\) | −4.01196 | + | 8.33093i | −0.604826 | + | 1.25593i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −2.06662 | − | 0.995232i | −0.304706 | − | 0.146739i | ||||
\(47\) | −1.51205 | + | 1.89605i | −0.220555 | + | 0.276568i | −0.879783 | − | 0.475376i | \(-0.842312\pi\) |
0.659227 | + | 0.751944i | \(0.270883\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 1.18657 | − | 6.89870i | 0.169510 | − | 0.985529i | ||||
\(50\) | − | 29.0167i | − | 4.10358i | ||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 1.35784 | − | 2.81959i | 0.188299 | − | 0.391006i | ||||
\(53\) | 6.81397 | − | 1.55524i | 0.935970 | − | 0.213629i | 0.272777 | − | 0.962077i | \(-0.412058\pi\) |
0.663193 | + | 0.748448i | \(0.269201\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −7.69878 | − | 15.9867i | −1.03810 | − | 2.15564i | ||||
\(56\) | 0.372382 | + | 1.44970i | 0.0497617 | + | 0.193724i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −2.09582 | − | 2.62808i | −0.275195 | − | 0.345084i | ||||
\(59\) | −7.40362 | + | 3.56539i | −0.963869 | + | 0.464175i | −0.848528 | − | 0.529151i | \(-0.822510\pi\) |
−0.115341 | + | 0.993326i | \(0.536796\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 14.5677 | + | 3.32497i | 1.86520 | + | 0.425719i | 0.997455 | − | 0.0712956i | \(-0.0227134\pi\) |
0.867742 | + | 0.497015i | \(0.165571\pi\) | |||||||
\(62\) | −4.17465 | + | 5.23485i | −0.530181 | + | 0.664826i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 6.24673 | + | 7.83315i | 0.780841 | + | 0.979144i | ||||
\(65\) | 2.60564 | + | 5.41066i | 0.323189 | + | 0.671110i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 11.7825 | 1.43946 | 0.719731 | − | 0.694253i | \(-0.244265\pi\) | ||||
0.719731 | + | 0.694253i | \(0.244265\pi\) | |||||||
\(68\) | 0.00563178 | 0.000682953 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −21.7725 | − | 9.76913i | −2.60231 | − | 1.16763i | ||||
\(71\) | −4.38641 | + | 1.00117i | −0.520571 | + | 0.118817i | −0.474729 | − | 0.880132i | \(-0.657454\pi\) |
−0.0458416 | + | 0.998949i | \(0.514597\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −4.34434 | + | 3.46449i | −0.508466 | + | 0.405488i | −0.843838 | − | 0.536597i | \(-0.819709\pi\) |
0.335372 | + | 0.942086i | \(0.391138\pi\) | |||||||
\(74\) | 15.3041 | − | 12.2046i | 1.77907 | − | 1.41876i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 10.7432 | − | 2.45206i | 1.23233 | − | 0.281271i | ||||
\(77\) | −10.7560 | + | 0.290843i | −1.22576 | + | 0.0331447i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −10.0580 | −1.13162 | −0.565809 | − | 0.824536i | \(-0.691436\pi\) | ||||
−0.565809 | + | 0.824536i | \(0.691436\pi\) | |||||||
\(80\) | −14.7375 | −1.64770 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −7.57754 | − | 15.7349i | −0.836799 | − | 1.73763i | ||||
\(83\) | 10.4803 | + | 13.1419i | 1.15036 | + | 1.44251i | 0.876930 | + | 0.480618i | \(0.159588\pi\) |
0.273433 | + | 0.961891i | \(0.411841\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −0.00673813 | + | 0.00844935i | −0.000730853 | + | 0.000916461i | ||||
\(86\) | 0.943132 | + | 0.215264i | 0.101701 | + | 0.0232125i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 2.07287 | − | 0.998241i | 0.220969 | − | 0.106413i | ||||
\(89\) | 3.92695 | + | 4.92424i | 0.416256 | + | 0.521968i | 0.945113 | − | 0.326742i | \(-0.105951\pi\) |
−0.528858 | + | 0.848710i | \(0.677380\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 3.64033 | − | 0.0984354i | 0.381611 | − | 0.0103188i | ||||
\(92\) | 1.09458 | + | 2.27293i | 0.114118 | + | 0.236969i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 4.88775 | − | 1.11560i | 0.504133 | − | 0.115065i | ||||
\(95\) | −9.17485 | + | 19.0518i | −0.941320 | + | 1.95467i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 2.91734i | 0.296211i | 0.988972 | + | 0.148106i | \(0.0473176\pi\) | ||||
−0.988972 | + | 0.148106i | \(0.952682\pi\) | |||||||
\(98\) | −10.8097 | + | 9.62073i | −1.09195 | + | 0.971841i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −19.8976 | + | 24.9509i | −1.98976 | + | 2.49509i | ||||
\(101\) | 8.25227 | + | 3.97408i | 0.821131 | + | 0.395436i | 0.796781 | − | 0.604268i | \(-0.206534\pi\) |
0.0243497 | + | 0.999704i | \(0.492248\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −1.26385 | + | 2.62441i | −0.124531 | + | 0.258590i | −0.953909 | − | 0.300098i | \(-0.902981\pi\) |
0.829378 | + | 0.558688i | \(0.188695\pi\) | |||||||
\(104\) | −0.701559 | + | 0.337853i | −0.0687935 | + | 0.0331292i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −13.0178 | − | 6.26903i | −1.26440 | − | 0.608902i | ||||
\(107\) | 11.1132 | − | 8.86244i | 1.07435 | − | 0.856765i | 0.0841534 | − | 0.996453i | \(-0.473181\pi\) |
0.990196 | + | 0.139688i | \(0.0446100\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −4.95739 | + | 6.21637i | −0.474831 | + | 0.595420i | −0.960347 | − | 0.278808i | \(-0.910061\pi\) |
0.485515 | + | 0.874228i | \(0.338632\pi\) | |||||||
\(110\) | −8.16242 | + | 35.7619i | −0.778256 | + | 3.40976i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −3.65848 | + | 8.15367i | −0.345694 | + | 0.770449i | ||||
\(113\) | −11.6381 | + | 9.28105i | −1.09482 | + | 0.873088i | −0.992570 | − | 0.121671i | \(-0.961175\pi\) |
−0.102247 | + | 0.994759i | \(0.532603\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −4.71969 | − | 1.07724i | −0.440113 | − | 0.100453i | ||||
\(116\) | 3.69701i | 0.343259i | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 16.5618 | + | 3.78011i | 1.52463 | + | 0.347988i | ||||
\(119\) | 0.00300199 | + | 0.00582544i | 0.000275192 | + | 0.000534017i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 1.23262 | + | 5.40044i | 0.112056 | + | 0.490949i | ||||
\(122\) | −19.2596 | − | 24.1507i | −1.74368 | − | 2.18650i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 7.17940 | − | 1.63865i | 0.644729 | − | 0.147155i | ||||
\(125\) | −8.77291 | − | 38.4366i | −0.784673 | − | 3.43788i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −3.67465 | + | 16.0997i | −0.326073 | + | 1.42862i | 0.500474 | + | 0.865751i | \(0.333159\pi\) |
−0.826547 | + | 0.562867i | \(0.809698\pi\) | |||||||
\(128\) | − | 4.48341i | − | 0.396282i | ||||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 2.76256 | − | 12.1035i | 0.242292 | − | 1.06155i | ||||
\(131\) | 3.65928 | − | 1.76222i | 0.319713 | − | 0.153966i | −0.267143 | − | 0.963657i | \(-0.586080\pi\) |
0.586856 | + | 0.809691i | \(0.300365\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 8.26300 | + | 9.80556i | 0.716493 | + | 0.850250i | ||||
\(134\) | −19.0437 | − | 15.1868i | −1.64512 | − | 1.31194i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −0.00109556 | 0.000873682i | −9.39437e−5 | 7.49176e-5i | ||||||
\(137\) | −2.27979 | − | 4.73403i | −0.194775 | − | 0.404455i | 0.780592 | − | 0.625041i | \(-0.214918\pi\) |
−0.975368 | + | 0.220585i | \(0.929203\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −2.09638 | + | 4.35318i | −0.177813 | + | 0.369232i | −0.970758 | − | 0.240061i | \(-0.922832\pi\) |
0.792945 | + | 0.609293i | \(0.208547\pi\) | |||||||
\(140\) | 12.0227 | + | 23.3304i | 1.01611 | + | 1.97178i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 8.38004 | + | 4.03562i | 0.703238 | + | 0.338661i | ||||
\(143\) | −1.24561 | − | 5.45736i | −0.104163 | − | 0.456367i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −5.54662 | − | 4.42328i | −0.460622 | − | 0.367334i | ||||
\(146\) | 11.4871 | 0.950679 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −21.5288 | −1.76966 | ||||||||
\(149\) | −8.30896 | − | 6.62617i | −0.680696 | − | 0.542837i | 0.220964 | − | 0.975282i | \(-0.429080\pi\) |
−0.901660 | + | 0.432445i | \(0.857651\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 1.62392 | + | 7.11488i | 0.132153 | + | 0.579001i | 0.997030 | + | 0.0770162i | \(0.0245393\pi\) |
−0.864877 | + | 0.501984i | \(0.832604\pi\) | |||||||
\(152\) | −2.47030 | − | 1.18963i | −0.200368 | − | 0.0964920i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 17.7594 | + | 13.3936i | 1.43109 | + | 1.07929i | ||||
\(155\) | −6.13132 | + | 12.7318i | −0.492479 | + | 1.02264i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −5.67493 | − | 11.7841i | −0.452909 | − | 0.940475i | −0.994974 | − | 0.100138i | \(-0.968071\pi\) |
0.542065 | − | 0.840337i | \(-0.317643\pi\) | |||||||
\(158\) | 16.2565 | + | 12.9641i | 1.29330 | + | 1.03137i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 27.6793 | + | 22.0735i | 2.18824 | + | 1.74506i | ||||
\(161\) | −1.76762 | + | 2.34380i | −0.139308 | + | 0.184717i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −0.348080 | + | 0.167627i | −0.0272638 | + | 0.0131295i | −0.447466 | − | 0.894301i | \(-0.647673\pi\) |
0.420202 | + | 0.907431i | \(0.361959\pi\) | |||||||
\(164\) | −4.27416 | + | 18.7263i | −0.333756 | + | 1.46228i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | − | 34.7492i | − | 2.69706i | ||||||
\(167\) | 1.61253 | − | 7.06498i | 0.124782 | − | 0.546704i | −0.873431 | − | 0.486947i | \(-0.838110\pi\) |
0.998213 | − | 0.0597569i | \(-0.0190325\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −2.47120 | − | 10.8270i | −0.190092 | − | 0.832849i | ||||
\(170\) | 0.0217812 | − | 0.00497143i | 0.00167054 | − | 0.000381291i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −0.663368 | − | 0.831837i | −0.0505813 | − | 0.0634269i | ||||
\(173\) | −0.637002 | − | 2.79089i | −0.0484304 | − | 0.212187i | 0.944923 | − | 0.327293i | \(-0.106136\pi\) |
−0.993353 | + | 0.115106i | \(0.963279\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −36.4152 | − | 7.28192i | −2.75273 | − | 0.550461i | ||||
\(176\) | 13.3926 | + | 3.05678i | 1.00951 | + | 0.230413i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | − | 13.0204i | − | 0.975923i | ||||||
\(179\) | 10.4981 | + | 2.39612i | 0.784665 | + | 0.179095i | 0.596040 | − | 0.802954i | \(-0.296740\pi\) |
0.188625 | + | 0.982049i | \(0.439597\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 11.6008 | − | 9.25131i | 0.862279 | − | 0.687645i | −0.0889812 | − | 0.996033i | \(-0.528361\pi\) |
0.951260 | + | 0.308389i | \(0.0997897\pi\) | |||||||
\(182\) | −6.01062 | − | 4.53304i | −0.445537 | − | 0.336011i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 0.139677 | − | 0.611965i | 0.0102971 | − | 0.0451147i | ||||
\(185\) | 25.7581 | − | 32.2997i | 1.89378 | − | 2.37472i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 0.00787577 | − | 0.00628071i | 0.000575933 | − | 0.000459291i | ||||
\(188\) | −4.96788 | − | 2.39241i | −0.362320 | − | 0.174484i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 39.3854 | − | 18.9670i | 2.85732 | − | 1.37601i | ||||
\(191\) | 5.09937 | − | 10.5890i | 0.368978 | − | 0.766190i | −0.630976 | − | 0.775802i | \(-0.717345\pi\) |
0.999954 | + | 0.00961204i | \(0.00305966\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −5.53509 | − | 2.66556i | −0.398424 | − | 0.191871i | 0.223933 | − | 0.974605i | \(-0.428110\pi\) |
−0.622357 | + | 0.782734i | \(0.713825\pi\) | |||||||
\(194\) | 3.76025 | − | 4.71520i | 0.269970 | − | 0.338532i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 15.8923 | − | 0.860093i | 1.13517 | − | 0.0614352i | ||||
\(197\) | − | 3.01370i | − | 0.214717i | −0.994220 | − | 0.107359i | \(-0.965761\pi\) | ||
0.994220 | − | 0.107359i | \(-0.0342393\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −9.17541 | + | 19.0529i | −0.650428 | + | 1.35063i | 0.271189 | + | 0.962526i | \(0.412583\pi\) |
−0.921617 | + | 0.388101i | \(0.873131\pi\) | |||||||
\(200\) | 7.74147 | − | 1.76694i | 0.547405 | − | 0.124942i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −8.21555 | − | 17.0598i | −0.578044 | − | 1.20032i | ||||
\(203\) | −3.82414 | + | 1.97067i | −0.268402 | + | 0.138314i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −22.9813 | − | 28.8176i | −1.60508 | − | 2.01271i | ||||
\(206\) | 5.42539 | − | 2.61273i | 0.378005 | − | 0.182038i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −4.53271 | − | 1.03456i | −0.314287 | − | 0.0717339i | ||||
\(209\) | 12.2892 | − | 15.4102i | 0.850064 | − | 1.06595i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 9.60477 | + | 12.0440i | 0.661220 | + | 0.829144i | 0.993475 | − | 0.114046i | \(-0.0363811\pi\) |
−0.332256 | + | 0.943189i | \(0.607810\pi\) | |||||||
\(212\) | 6.89486 | + | 14.3173i | 0.473541 | + | 0.983318i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −29.3849 | −2.00871 | ||||||||
\(215\) | 2.04169 | 0.139242 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 5.52195 | + | 6.55280i | 0.374854 | + | 0.444833i | ||||
\(218\) | 16.0249 | − | 3.65758i | 1.08534 | − | 0.247723i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 31.5418 | − | 25.1537i | 2.12655 | − | 1.69586i | ||||
\(221\) | −0.00266554 | + | 0.00212570i | −0.000179303 | + | 0.000142990i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 4.82462 | − | 1.10119i | 0.323080 | − | 0.0737410i | −0.0579050 | − | 0.998322i | \(-0.518442\pi\) |
0.380985 | + | 0.924581i | \(0.375585\pi\) | |||||||
\(224\) | 19.0836 | − | 9.83424i | 1.27507 | − | 0.657078i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 30.7728 | 2.04698 | ||||||||
\(227\) | −19.8226 | −1.31567 | −0.657835 | − | 0.753162i | \(-0.728528\pi\) | ||||
−0.657835 | + | 0.753162i | \(0.728528\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 5.43984 | + | 11.2959i | 0.359475 | + | 0.746457i | 0.999765 | − | 0.0216759i | \(-0.00690019\pi\) |
−0.640290 | + | 0.768133i | \(0.721186\pi\) | |||||||
\(230\) | 6.23979 | + | 7.82444i | 0.411439 | + | 0.515929i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 0.573533 | − | 0.719188i | 0.0376543 | − | 0.0472170i | ||||
\(233\) | 20.9996 | + | 4.79302i | 1.37573 | + | 0.314001i | 0.845556 | − | 0.533888i | \(-0.179269\pi\) |
0.530174 | + | 0.847889i | \(0.322127\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 9.53315 | − | 4.59092i | 0.621874 | − | 0.299479i | ||||
\(236\) | −11.6490 | − | 14.6074i | −0.758284 | − | 0.950858i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0.00265655 | − | 0.0132848i | 0.000172199 | − | 0.000861127i | ||||
\(239\) | −4.22999 | − | 8.78367i | −0.273615 | − | 0.568168i | 0.718202 | − | 0.695835i | \(-0.244966\pi\) |
−0.991817 | + | 0.127667i | \(0.959251\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 9.34327 | − | 2.13254i | 0.601853 | − | 0.137369i | 0.0892712 | − | 0.996007i | \(-0.471546\pi\) |
0.512582 | + | 0.858638i | \(0.328689\pi\) | |||||||
\(242\) | 4.96855 | − | 10.3173i | 0.319391 | − | 0.663221i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 33.9736i | 2.17494i | ||||||||
\(245\) | −17.7240 | + | 24.8723i | −1.13234 | + | 1.58903i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −4.15927 | + | 5.21555i | −0.264648 | + | 0.331858i | ||||
\(248\) | −1.65084 | − | 0.795001i | −0.104828 | − | 0.0504826i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −35.3627 | + | 73.4315i | −2.23654 | + | 4.64421i | ||||
\(251\) | −3.12043 | + | 1.50272i | −0.196960 | + | 0.0948508i | −0.529764 | − | 0.848145i | \(-0.677719\pi\) |
0.332804 | + | 0.942996i | \(0.392005\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 4.06555 | + | 1.95787i | 0.255599 | + | 0.123090i | ||||
\(254\) | 26.6906 | − | 21.2851i | 1.67472 | − | 1.33554i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 6.71465 | − | 8.41991i | 0.419666 | − | 0.526244i | ||||
\(257\) | −4.15911 | + | 18.2222i | −0.259438 | + | 1.13667i | 0.662416 | + | 0.749136i | \(0.269531\pi\) |
−0.921854 | + | 0.387537i | \(0.873326\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −11.4758 | − | 22.2691i | −0.713075 | − | 1.38374i | ||||
\(260\) | −10.6753 | + | 8.51323i | −0.662051 | + | 0.527968i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −8.18575 | − | 1.86834i | −0.505717 | − | 0.115427i | ||||
\(263\) | − | 20.9882i | − | 1.29419i | −0.762410 | − | 0.647095i | \(-0.775984\pi\) | ||
0.762410 | − | 0.647095i | \(-0.224016\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −29.7296 | − | 6.78559i | −1.82628 | − | 0.416836i | ||||
\(266\) | −0.716533 | − | 26.4988i | −0.0439335 | − | 1.62475i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 5.96119 | + | 26.1177i | 0.364138 | + | 1.59539i | ||||
\(269\) | 7.08941 | + | 8.88983i | 0.432249 | + | 0.542023i | 0.949482 | − | 0.313822i | \(-0.101609\pi\) |
−0.517233 | + | 0.855844i | \(0.673038\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −4.25141 | + | 0.970356i | −0.258255 | + | 0.0589449i | −0.349688 | − | 0.936866i | \(-0.613712\pi\) |
0.0914332 | + | 0.995811i | \(0.470855\pi\) | |||||||
\(272\) | −0.00186177 | − | 0.00815695i | −0.000112886 | − | 0.000494587i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −2.41708 | + | 10.5899i | −0.146021 | + | 0.639761i | ||||
\(275\) | 57.0830i | 3.44223i | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −3.49711 | + | 15.3218i | −0.210121 | + | 0.920599i | 0.754363 | + | 0.656457i | \(0.227946\pi\) |
−0.964484 | + | 0.264142i | \(0.914911\pi\) | |||||||
\(278\) | 8.99926 | − | 4.33381i | 0.539739 | − | 0.259925i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 1.28053 | − | 6.40365i | 0.0765265 | − | 0.382691i | ||||
\(281\) | 12.2719 | + | 9.78649i | 0.732079 | + | 0.583813i | 0.916975 | − | 0.398945i | \(-0.130623\pi\) |
−0.184896 | + | 0.982758i | \(0.559195\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −0.591566 | − | 0.471759i | −0.0351650 | − | 0.0280431i | 0.605750 | − | 0.795655i | \(-0.292873\pi\) |
−0.640915 | + | 0.767612i | \(0.721445\pi\) | |||||||
\(284\) | −4.43848 | − | 9.21661i | −0.263376 | − | 0.546905i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −5.02092 | + | 10.4260i | −0.296893 | + | 0.616505i | ||||
\(287\) | −21.6486 | + | 5.56085i | −1.27787 | + | 0.328246i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 15.3165 | + | 7.37602i | 0.900969 | + | 0.433884i | ||||
\(290\) | 3.26352 | + | 14.2984i | 0.191640 | + | 0.839631i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −9.87753 | − | 7.87707i | −0.578039 | − | 0.460970i | ||||
\(293\) | −15.5966 | −0.911164 | −0.455582 | − | 0.890194i | \(-0.650569\pi\) | ||||
−0.455582 | + | 0.890194i | \(0.650569\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 35.8528 | 2.08743 | ||||||||
\(296\) | 4.18805 | + | 3.33986i | 0.243426 | + | 0.194125i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 4.88882 | + | 21.4193i | 0.283202 | + | 1.24079i | ||||
\(299\) | −1.37598 | − | 0.662637i | −0.0795749 | − | 0.0383213i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0.506836 | − | 1.12959i | 0.0292135 | − | 0.0651082i | ||||
\(302\) | 6.54588 | − | 13.5927i | 0.376673 | − | 0.782170i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −7.10304 | − | 14.7496i | −0.407387 | − | 0.845948i | ||||
\(305\) | −50.9706 | − | 40.6477i | −2.91857 | − | 2.32748i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 1.03488 | + | 0.825290i | 0.0590638 | + | 0.0471018i | 0.652577 | − | 0.757723i | \(-0.273688\pi\) |
−0.593513 | + | 0.804824i | \(0.702259\pi\) | |||||||
\(308\) | −6.08652 | − | 23.6950i | −0.346812 | − | 1.35015i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 26.3203 | − | 12.6752i | 1.49489 | − | 0.719901i | ||||
\(311\) | 1.16016 | − | 5.08300i | 0.0657867 | − | 0.288230i | −0.931324 | − | 0.364192i | \(-0.881345\pi\) |
0.997111 | + | 0.0759611i | \(0.0242025\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | − | 8.11203i | − | 0.458519i | −0.973365 | − | 0.229259i | \(-0.926370\pi\) | ||
0.973365 | − | 0.229259i | \(-0.0736304\pi\) | |||||||
\(314\) | −6.01669 | + | 26.3609i | −0.339542 | + | 1.48763i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −5.08872 | − | 22.2952i | −0.286263 | − | 1.25420i | ||||
\(317\) | 8.11359 | − | 1.85187i | 0.455705 | − | 0.104012i | 0.0114939 | − | 0.999934i | \(-0.496341\pi\) |
0.444211 | + | 0.895922i | \(0.353484\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 4.12301 | + | 5.17009i | 0.230844 | + | 0.289469i | ||||
\(320\) | −9.72710 | − | 42.6172i | −0.543762 | − | 2.38238i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 5.87794 | − | 1.50986i | 0.327565 | − | 0.0841412i | ||||
\(323\) | −0.0117039 | − | 0.00267133i | −0.000651221 | − | 0.000148637i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | − | 19.3196i | − | 1.07166i | ||||||
\(326\) | 0.778649 | + | 0.177722i | 0.0431254 | + | 0.00984309i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 3.73656 | − | 2.97980i | 0.206317 | − | 0.164532i | ||||
\(329\) | −0.173435 | − | 6.41398i | −0.00956179 | − | 0.353614i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 4.34040 | − | 19.0165i | 0.238570 | − | 1.04524i | −0.703729 | − | 0.710469i | \(-0.748483\pi\) |
0.942299 | − | 0.334774i | \(-0.108660\pi\) | |||||||
\(332\) | −23.8286 | + | 29.8801i | −1.30776 | + | 1.63988i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −11.7125 | + | 9.34044i | −0.640882 | + | 0.511086i | ||||
\(335\) | −46.3166 | − | 22.3049i | −2.53055 | − | 1.21865i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 20.7554 | − | 9.99525i | 1.13062 | − | 0.544476i | 0.227460 | − | 0.973787i | \(-0.426958\pi\) |
0.903157 | + | 0.429311i | \(0.141244\pi\) | |||||||
\(338\) | −9.96116 | + | 20.6846i | −0.541816 | + | 1.12509i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −0.0221383 | − | 0.0106613i | −0.00120062 | − | 0.000578188i | ||||
\(341\) | 8.21257 | − | 10.2982i | 0.444736 | − | 0.557681i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 9.36101 | + | 15.9803i | 0.505447 | + | 0.862858i | ||||
\(344\) | 0.264730i | 0.0142733i | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −2.56769 | + | 5.33187i | −0.138040 | + | 0.286643i | ||||
\(347\) | 21.6884 | − | 4.95023i | 1.16429 | − | 0.265742i | 0.403650 | − | 0.914913i | \(-0.367741\pi\) |
0.760642 | + | 0.649171i | \(0.224884\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 1.84031 | + | 3.82143i | 0.0985093 | + | 0.204557i | 0.944399 | − | 0.328801i | \(-0.106644\pi\) |
−0.845890 | + | 0.533357i | \(0.820930\pi\) | |||||||
\(350\) | 49.4708 | + | 58.7061i | 2.64432 | + | 3.13798i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −20.5750 | − | 25.8002i | −1.09665 | − | 1.37516i | ||||
\(353\) | 4.11202 | − | 1.98025i | 0.218861 | − | 0.105398i | −0.321241 | − | 0.946997i | \(-0.604100\pi\) |
0.540102 | + | 0.841600i | \(0.318386\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 19.1381 | + | 4.36815i | 1.01574 | + | 0.231837i | ||||
\(356\) | −8.92852 | + | 11.1960i | −0.473211 | + | 0.593388i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −13.8793 | − | 17.4041i | −0.733544 | − | 0.919835i | ||||
\(359\) | 7.99103 | + | 16.5935i | 0.421750 | + | 0.875774i | 0.998276 | + | 0.0586947i | \(0.0186939\pi\) |
−0.576525 | + | 0.817079i | \(0.695592\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −4.48944 | −0.236286 | ||||||||
\(362\) | −30.6742 | −1.61220 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 2.05997 | + | 8.01954i | 0.107972 | + | 0.420338i | ||||
\(365\) | 23.6359 | − | 5.39474i | 1.23716 | − | 0.282374i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −26.5459 | + | 21.1697i | −1.38569 | + | 1.10505i | −0.403955 | + | 0.914779i | \(0.632365\pi\) |
−0.981732 | + | 0.190269i | \(0.939064\pi\) | |||||||
\(368\) | 2.93021 | − | 2.33676i | 0.152748 | − | 0.121812i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −83.2640 | + | 19.0045i | −4.32869 | + | 0.987996i | ||||
\(371\) | −11.1344 | + | 14.7637i | −0.578068 | + | 0.766495i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 26.8836 | 1.39198 | 0.695990 | − | 0.718051i | \(-0.254966\pi\) | ||||
0.695990 | + | 0.718051i | \(0.254966\pi\) | |||||||
\(374\) | −0.0208247 | −0.00107682 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 0.595270 | + | 1.23609i | 0.0306987 | + | 0.0637465i | ||||
\(377\) | −1.39542 | − | 1.74981i | −0.0718680 | − | 0.0901196i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −12.2638 | + | 15.3783i | −0.629948 | + | 0.789929i | −0.989706 | − | 0.143116i | \(-0.954288\pi\) |
0.359758 | + | 0.933046i | \(0.382859\pi\) | |||||||
\(380\) | −46.8730 | − | 10.6985i | −2.40454 | − | 0.548819i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −21.8904 | + | 10.5418i | −1.12001 | + | 0.539368i | ||||
\(383\) | −14.9439 | − | 18.7390i | −0.763597 | − | 0.957520i | 0.236303 | − | 0.971679i | \(-0.424064\pi\) |
−0.999900 | + | 0.0141595i | \(0.995493\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 42.8319 | + | 19.2183i | 2.18292 | + | 0.979456i | ||||
\(386\) | 5.51046 | + | 11.4426i | 0.280475 | + | 0.582412i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −6.46673 | + | 1.47599i | −0.328298 | + | 0.0749320i | ||||
\(389\) | 9.56032 | − | 19.8522i | 0.484728 | − | 1.00655i | −0.504938 | − | 0.863155i | \(-0.668485\pi\) |
0.989666 | − | 0.143392i | \(-0.0458009\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | − | 0.00274835i | − | 0.000138990i | ||||||
\(392\) | −3.22500 | − | 2.29813i | −0.162887 | − | 0.116073i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −3.88445 | + | 4.87094i | −0.195696 | + | 0.245394i | ||||
\(395\) | 39.5378 | + | 19.0404i | 1.98936 | + | 0.958027i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 10.8708 | − | 22.5735i | 0.545592 | − | 1.13293i | −0.427818 | − | 0.903865i | \(-0.640718\pi\) |
0.973410 | − | 0.229069i | \(-0.0735680\pi\) | |||||||
\(398\) | 39.3878 | − | 18.9682i | 1.97433 | − | 0.950788i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 42.7161 | + | 20.5710i | 2.13581 | + | 1.02855i | ||||
\(401\) | −11.8949 | + | 9.48584i | −0.594002 | + | 0.473700i | −0.873752 | − | 0.486372i | \(-0.838320\pi\) |
0.279750 | + | 0.960073i | \(0.409748\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −2.77953 | + | 3.48542i | −0.138458 | + | 0.173621i | ||||
\(404\) | −4.63403 | + | 20.3030i | −0.230552 | + | 1.01011i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 8.72088 | + | 1.74391i | 0.432810 | + | 0.0865486i | ||||
\(407\) | −30.1070 | + | 24.0095i | −1.49235 | + | 1.19011i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 12.1656 | + | 2.77673i | 0.601552 | + | 0.137300i | 0.512442 | − | 0.858722i | \(-0.328741\pi\) |
0.0891093 | + | 0.996022i | \(0.471598\pi\) | |||||||
\(410\) | 76.1981i | 3.76316i | ||||||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −6.45682 | − | 1.47373i | −0.318105 | − | 0.0726053i | ||||
\(413\) | 8.90022 | − | 19.8360i | 0.437951 | − | 0.976063i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −16.3194 | − | 71.5001i | −0.801089 | − | 3.50980i | ||||
\(416\) | 6.96357 | + | 8.73204i | 0.341417 | + | 0.428124i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −39.7253 | + | 9.06705i | −1.94303 | + | 0.443484i | ||||
\(419\) | 4.14796 | + | 18.1734i | 0.202641 | + | 0.887830i | 0.969321 | + | 0.245799i | \(0.0790505\pi\) |
−0.766679 | + | 0.642030i | \(0.778092\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 2.49894 | − | 10.9486i | 0.121791 | − | 0.533600i | −0.876816 | − | 0.480827i | \(-0.840337\pi\) |
0.998606 | − | 0.0527737i | \(-0.0168062\pi\) | |||||||
\(422\) | − | 31.8462i | − | 1.55025i | ||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 0.879836 | − | 3.85481i | 0.0427286 | − | 0.187206i | ||||
\(425\) | 0.0313241 | − | 0.0150849i | 0.00151944 | − | 0.000731724i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −35.1419 | + | 18.1095i | −1.70063 | + | 0.876380i | ||||
\(428\) | 25.2675 | + | 20.1501i | 1.22135 | + | 0.973994i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −3.29991 | − | 2.63159i | −0.159136 | − | 0.126907i | ||||
\(431\) | 17.6980 | + | 36.7503i | 0.852482 | + | 1.77020i | 0.594601 | + | 0.804021i | \(0.297310\pi\) |
0.257881 | + | 0.966177i | \(0.416976\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −5.73036 | + | 11.8992i | −0.275383 | + | 0.571840i | −0.992089 | − | 0.125536i | \(-0.959935\pi\) |
0.716706 | + | 0.697376i | \(0.245649\pi\) | |||||||
\(434\) | −0.478841 | − | 17.7085i | −0.0229851 | − | 0.850034i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −16.2876 | − | 7.84371i | −0.780036 | − | 0.375645i | ||||
\(437\) | −1.19663 | − | 5.24276i | −0.0572424 | − | 0.250795i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −14.0789 | − | 11.2275i | −0.671949 | − | 0.535861i | 0.227011 | − | 0.973892i | \(-0.427105\pi\) |
−0.898960 | + | 0.438031i | \(0.855676\pi\) | |||||||
\(440\) | −10.0381 | −0.478548 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 0.00704809 | 0.000335243 | ||||||||
\(443\) | −17.2953 | − | 13.7925i | −0.821723 | − | 0.655302i | 0.119595 | − | 0.992823i | \(-0.461840\pi\) |
−0.941318 | + | 0.337520i | \(0.890412\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −6.11485 | − | 26.7909i | −0.289872 | − | 1.27001i | ||||
\(446\) | −9.21722 | − | 4.43878i | −0.436448 | − | 0.210182i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −25.9931 | − | 5.19782i | −1.22806 | − | 0.245574i | ||||
\(449\) | −3.37716 | + | 7.01274i | −0.159378 | + | 0.330952i | −0.965331 | − | 0.261027i | \(-0.915939\pi\) |
0.805953 | + | 0.591979i | \(0.201653\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 14.9069 | + | 30.9545i | 0.701938 | + | 1.45759i | ||||
\(452\) | −26.4609 | − | 21.1019i | −1.24462 | − | 0.992550i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 32.0386 | + | 25.5499i | 1.50364 | + | 1.19912i | ||||
\(455\) | −14.4964 | − | 6.50440i | −0.679600 | − | 0.304931i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 16.4925 | − | 7.94239i | 0.771488 | − | 0.371529i | −0.00636122 | − | 0.999980i | \(-0.502025\pi\) |
0.777850 | + | 0.628451i | \(0.216311\pi\) | |||||||
\(458\) | 5.76745 | − | 25.2688i | 0.269495 | − | 1.18073i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | − | 11.0069i | − | 0.513200i | ||||||
\(461\) | −6.73601 | + | 29.5124i | −0.313727 | + | 1.37453i | 0.534622 | + | 0.845091i | \(0.320454\pi\) |
−0.848349 | + | 0.529437i | \(0.822403\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −5.33895 | − | 23.3915i | −0.248122 | − | 1.08709i | −0.933407 | − | 0.358819i | \(-0.883180\pi\) |
0.685285 | − | 0.728275i | \(-0.259678\pi\) | |||||||
\(464\) | 5.35467 | − | 1.22217i | 0.248584 | − | 0.0567377i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −27.7631 | − | 34.8138i | −1.28610 | − | 1.61272i | ||||
\(467\) | −3.08333 | − | 13.5090i | −0.142679 | − | 0.625120i | −0.994806 | − | 0.101785i | \(-0.967545\pi\) |
0.852127 | − | 0.523335i | \(-0.175312\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −23.8382 | + | 20.0881i | −1.10075 | + | 0.927583i | ||||
\(470\) | −21.3255 | − | 4.86740i | −0.983671 | − | 0.224516i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 4.64876i | 0.213977i | ||||||||
\(473\) | −1.85537 | − | 0.423477i | −0.0853102 | − | 0.0194715i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 53.1860 | − | 42.4144i | 2.44034 | − | 1.94611i | ||||
\(476\) | −0.0113941 | + | 0.00960167i | −0.000522249 | + | 0.000440092i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −4.48474 | + | 19.6489i | −0.205127 | + | 0.898720i | ||||
\(479\) | −6.76546 | + | 8.48362i | −0.309122 | + | 0.387626i | −0.911989 | − | 0.410215i | \(-0.865454\pi\) |
0.602867 | + | 0.797842i | \(0.294025\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 10.1897 | − | 8.12599i | 0.464609 | − | 0.370513i | ||||
\(482\) | −17.8499 | − | 8.59607i | −0.813041 | − | 0.391540i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −11.3473 | + | 5.46455i | −0.515785 | + | 0.248389i | ||||
\(485\) | 5.52269 | − | 11.4680i | 0.250772 | − | 0.520734i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 12.1205 | + | 5.83690i | 0.549230 | + | 0.264495i | 0.687853 | − | 0.725850i | \(-0.258553\pi\) |
−0.138623 | + | 0.990345i | \(0.544268\pi\) | |||||||
\(488\) | 5.27048 | − | 6.60897i | 0.238583 | − | 0.299174i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 60.7053 | − | 17.3553i | 2.74239 | − | 0.784034i | ||||
\(491\) | 32.1316i | 1.45008i | 0.688708 | + | 0.725039i | \(0.258178\pi\) | ||||
−0.688708 | + | 0.725039i | \(0.741822\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 0.00174751 | − | 0.00362874i | 7.87039e−5 | − | 0.000163430i | ||||
\(494\) | 13.4450 | − | 3.06872i | 0.604917 | − | 0.138068i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −4.74678 | − | 9.85678i | −0.213137 | − | 0.442583i | ||||
\(497\) | 7.16762 | − | 9.50398i | 0.321512 | − | 0.426312i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 2.66616 | + | 3.34326i | 0.119354 | + | 0.149665i | 0.837919 | − | 0.545795i | \(-0.183772\pi\) |
−0.718565 | + | 0.695460i | \(0.755201\pi\) | |||||||
\(500\) | 80.7620 | − | 38.8929i | 3.61179 | − | 1.73934i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 6.98034 | + | 1.59322i | 0.311548 | + | 0.0711088i | ||||
\(503\) | −15.4247 | + | 19.3419i | −0.687752 | + | 0.862414i | −0.996042 | − | 0.0888785i | \(-0.971672\pi\) |
0.308290 | + | 0.951292i | \(0.400243\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −24.9162 | − | 31.2440i | −1.10876 | − | 1.39034i | ||||
\(506\) | −4.04746 | − | 8.40465i | −0.179932 | − | 0.373632i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −37.5466 | −1.66586 | ||||||||
\(509\) | 9.79261 | 0.434050 | 0.217025 | − | 0.976166i | \(-0.430365\pi\) | ||||
0.217025 | + | 0.976166i | \(0.430365\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 2.88276 | − | 14.4160i | 0.127526 | − | 0.637727i | ||||
\(512\) | −30.4473 | + | 6.94941i | −1.34560 | + | 0.307123i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 30.2094 | − | 24.0912i | 1.33248 | − | 1.06262i | ||||
\(515\) | 9.93628 | − | 7.92392i | 0.437845 | − | 0.349170i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −9.61542 | + | 2.19466i | −0.422886 | + | 0.0965209i | ||||
\(518\) | −10.1553 | + | 50.7844i | −0.446199 | + | 2.23134i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 3.39738 | 0.148985 | ||||||||
\(521\) | −12.2091 | −0.534892 | −0.267446 | − | 0.963573i | \(-0.586180\pi\) | ||||
−0.267446 | + | 0.963573i | \(0.586180\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 7.65067 | + | 15.8868i | 0.334541 | + | 0.694681i | 0.998594 | − | 0.0530043i | \(-0.0168797\pi\) |
−0.664054 | + | 0.747685i | \(0.731165\pi\) | |||||||
\(524\) | 5.75758 | + | 7.21978i | 0.251521 | + | 0.315397i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −27.0523 | + | 33.9226i | −1.17954 | + | 1.47909i | ||||
\(527\) | −0.00782140 | − | 0.00178518i | −0.000340705 | − | 7.77638e-5i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −19.6131 | + | 9.44516i | −0.852743 | + | 0.410659i | ||||
\(530\) | 39.3049 | + | 49.2867i | 1.70729 | + | 2.14088i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −17.5549 | + | 23.2772i | −0.761103 | + | 1.00919i | ||||
\(533\) | −5.04521 | − | 10.4765i | −0.218532 | − | 0.453787i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −60.4625 | + | 13.8002i | −2.61402 | + | 0.596633i | ||||
\(536\) | 2.89211 | − | 6.00552i | 0.124920 | − | 0.259399i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | − | 23.5061i | − | 1.01342i | ||||||
\(539\) | 21.2655 | − | 18.9264i | 0.915968 | − | 0.815216i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −6.97220 | + | 8.74286i | −0.299758 | + | 0.375885i | −0.908785 | − | 0.417265i | \(-0.862989\pi\) |
0.609027 | + | 0.793150i | \(0.291560\pi\) | |||||||
\(542\) | 8.12213 | + | 3.91141i | 0.348875 | + | 0.168009i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −0.00872059 | + | 0.0181085i | −0.000373892 | + | 0.000776396i | ||||
\(545\) | 31.2552 | − | 15.0517i | 1.33883 | − | 0.644745i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −13.9058 | − | 6.69667i | −0.594568 | − | 0.286329i | 0.112300 | − | 0.993674i | \(-0.464178\pi\) |
−0.706868 | + | 0.707346i | \(0.749893\pi\) | |||||||
\(548\) | 9.34025 | − | 7.44860i | 0.398996 | − | 0.318189i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 73.5759 | − | 92.2613i | 3.13729 | − | 3.93404i | ||||
\(551\) | 1.75361 | − | 7.68307i | 0.0747063 | − | 0.327310i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 20.3493 | − | 17.1480i | 0.865340 | − | 0.729209i | ||||
\(554\) | 25.4010 | − | 20.2566i | 1.07919 | − | 0.860622i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −10.7101 | − | 2.44451i | −0.454210 | − | 0.103670i | ||||
\(557\) | 18.1025i | 0.767028i | 0.923535 | + | 0.383514i | \(0.125286\pi\) | ||||
−0.923535 | + | 0.383514i | \(0.874714\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 0.627948 | + | 0.143325i | 0.0265594 | + | 0.00606200i | ||||
\(560\) | 29.8167 | − | 25.1261i | 1.25999 | − | 1.06177i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −7.22052 | − | 31.6352i | −0.304579 | − | 1.33445i | ||||
\(563\) | 5.44395 | + | 6.82650i | 0.229435 | + | 0.287703i | 0.883201 | − | 0.468994i | \(-0.155383\pi\) |
−0.653766 | + | 0.756697i | \(0.726812\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 63.3184 | − | 14.4520i | 2.66382 | − | 0.608000i | ||||
\(566\) | 0.348066 | + | 1.52497i | 0.0146303 | + | 0.0640995i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −0.566384 | + | 2.48149i | −0.0237649 | + | 0.104121i | ||||
\(569\) | 0.531762i | 0.0222926i | 0.999938 | + | 0.0111463i | \(0.00354806\pi\) | ||||
−0.999938 | + | 0.0111463i | \(0.996452\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −1.82542 | + | 7.99770i | −0.0763916 | + | 0.334693i | −0.998654 | − | 0.0518716i | \(-0.983481\pi\) |
0.922262 | + | 0.386565i | \(0.126338\pi\) | |||||||
\(572\) | 11.4669 | − | 5.52214i | 0.479453 | − | 0.230892i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 42.1574 | + | 18.9157i | 1.75962 | + | 0.789525i | ||||
\(575\) | 12.1762 | + | 9.71020i | 0.507783 | + | 0.404943i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −7.32438 | − | 5.84100i | −0.304918 | − | 0.243164i | 0.459062 | − | 0.888404i | \(-0.348186\pi\) |
−0.763979 | + | 0.645241i | \(0.776757\pi\) | |||||||
\(578\) | −15.2483 | − | 31.6635i | −0.634246 | − | 1.31703i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 6.99863 | − | 14.5328i | 0.290602 | − | 0.603442i | ||||
\(581\) | −43.6093 | − | 8.72052i | −1.80922 | − | 0.361788i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 25.6092 | + | 12.3327i | 1.06063 | + | 0.510770i | ||||
\(584\) | 0.699495 | + | 3.06469i | 0.0289453 | + | 0.126818i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 25.2083 | + | 20.1029i | 1.04134 | + | 0.830445i | ||||
\(587\) | −22.2926 | −0.920113 | −0.460057 | − | 0.887890i | \(-0.652171\pi\) | ||||
−0.460057 | + | 0.887890i | \(0.652171\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −15.6974 | −0.646800 | ||||||||
\(590\) | −57.9477 | − | 46.2118i | −2.38567 | − | 1.90251i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 7.11706 | + | 31.1819i | 0.292510 | + | 1.28157i | ||||
\(593\) | −2.68385 | − | 1.29248i | −0.110213 | − | 0.0530756i | 0.377965 | − | 0.925820i | \(-0.376624\pi\) |
−0.488178 | + | 0.872744i | \(0.662338\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −0.000772877 | − | 0.0285825i | −3.16849e−5 | − | 0.00117177i | ||||
\(596\) | 10.4841 | − | 21.7705i | 0.429446 | − | 0.891753i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 1.36986 | + | 2.84454i | 0.0560176 | + | 0.116322i | ||||
\(599\) | −6.09092 | − | 4.85734i | −0.248868 | − | 0.198466i | 0.491108 | − | 0.871099i | \(-0.336592\pi\) |
−0.739976 | + | 0.672633i | \(0.765163\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −7.47364 | − | 5.96003i | −0.304856 | − | 0.243115i | 0.459097 | − | 0.888386i | \(-0.348173\pi\) |
−0.763953 | + | 0.645271i | \(0.776744\pi\) | |||||||
\(602\) | −2.27514 | + | 1.17244i | −0.0927277 | + | 0.0477849i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −14.9496 | + | 7.19934i | −0.608290 | + | 0.292937i | ||||
\(605\) | 5.37795 | − | 23.5624i | 0.218645 | − | 0.957946i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | − | 40.3837i | − | 1.63912i | −0.572990 | − | 0.819562i | \(-0.694217\pi\) | ||
0.572990 | − | 0.819562i | \(-0.305783\pi\) | |||||||
\(608\) | −8.75103 | + | 38.3408i | −0.354901 | + | 1.55492i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 29.9901 | + | 131.395i | 1.21426 | + | 5.32003i | ||||
\(611\) | 3.25432 | − | 0.742778i | 0.131656 | − | 0.0300496i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 28.5198 | + | 35.7627i | 1.15190 | + | 1.44444i | 0.875381 | + | 0.483434i | \(0.160611\pi\) |
0.276523 | + | 0.961007i | \(0.410818\pi\) | |||||||
\(614\) | −0.608903 | − | 2.66778i | −0.0245733 | − | 0.107663i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −2.49189 | + | 5.55368i | −0.100401 | + | 0.223764i | ||||
\(617\) | −16.4516 | − | 3.75497i | −0.662316 | − | 0.151169i | −0.121867 | − | 0.992546i | \(-0.538888\pi\) |
−0.540448 | + | 0.841377i | \(0.681745\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | − | 27.2418i | − | 1.09494i | −0.836825 | − | 0.547470i | \(-0.815591\pi\) | ||
0.836825 | − | 0.547470i | \(-0.184409\pi\) | |||||||
\(620\) | −31.3240 | − | 7.14951i | −1.25800 | − | 0.287131i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −8.42676 | + | 6.72011i | −0.337882 | + | 0.269452i | ||||
\(623\) | −16.3403 | − | 3.26756i | −0.654661 | − | 0.130912i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −22.6599 | + | 99.2795i | −0.906396 | + | 3.97118i | ||||
\(626\) | −10.4558 | + | 13.1112i | −0.417899 | + | 0.524029i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 23.2501 | − | 18.5413i | 0.927781 | − | 0.739880i | ||||
\(629\) | 0.0211313 | + | 0.0101763i | 0.000842560 | + | 0.000405756i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −24.7711 | + | 11.9292i | −0.986124 | + | 0.474892i | −0.856207 | − | 0.516633i | \(-0.827185\pi\) |
−0.129917 | + | 0.991525i | \(0.541471\pi\) | |||||||
\(632\) | −2.46882 | + | 5.12657i | −0.0982045 | + | 0.203924i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −15.5007 | − | 7.46472i | −0.615610 | − | 0.296462i | ||||
\(635\) | 44.9226 | − | 56.3311i | 1.78270 | − | 2.23543i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −7.19725 | + | 6.40559i | −0.285165 | + | 0.253799i | ||||
\(638\) | − | 13.6705i | − | 0.541220i | ||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −8.48734 | + | 17.6241i | −0.335492 | + | 0.696656i | ||||
\(641\) | −14.5469 | + | 3.32024i | −0.574569 | + | 0.131142i | −0.499925 | − | 0.866069i | \(-0.666639\pi\) |
−0.0746437 | + | 0.997210i | \(0.523782\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 9.62506 | + | 19.9866i | 0.379575 | + | 0.788196i | 0.999992 | + | 0.00392394i | \(0.00124903\pi\) |
−0.620417 | + | 0.784272i | \(0.713037\pi\) | |||||||
\(644\) | −6.08968 | − | 2.73239i | −0.239967 | − | 0.107671i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0.0154734 | + | 0.0194031i | 0.000608793 | + | 0.000763403i | ||||
\(647\) | −31.9879 | + | 15.4046i | −1.25757 | + | 0.605616i | −0.939532 | − | 0.342461i | \(-0.888740\pi\) |
−0.318042 | + | 0.948077i | \(0.603025\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −32.5811 | − | 7.43642i | −1.27892 | − | 0.291905i | ||||
\(650\) | −24.9016 | + | 31.2257i | −0.976722 | + | 1.22477i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −0.547676 | − | 0.686764i | −0.0214486 | − | 0.0268958i | ||||
\(653\) | 9.55151 | + | 19.8339i | 0.373780 | + | 0.776161i | 0.999994 | − | 0.00348962i | \(-0.00111078\pi\) |
−0.626214 | + | 0.779651i | \(0.715396\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −17.7205 | −0.692397 | ||||||||
\(656\) | 28.5357 | 1.11413 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −7.98684 | + | 10.5902i | −0.311360 | + | 0.412850i | ||||
\(659\) | 22.7399 | − | 5.19024i | 0.885822 | − | 0.202183i | 0.244679 | − | 0.969604i | \(-0.421317\pi\) |
0.641143 | + | 0.767421i | \(0.278460\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 4.64300 | − | 3.70267i | 0.180592 | − | 0.144017i | −0.529022 | − | 0.848608i | \(-0.677441\pi\) |
0.709614 | + | 0.704591i | \(0.248870\pi\) | |||||||
\(662\) | −31.5262 | + | 25.1413i | −1.22530 | + | 0.977144i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 9.27087 | − | 2.11602i | 0.359779 | − | 0.0821173i | ||||
\(665\) | −13.9191 | − | 54.1876i | −0.539760 | − | 2.10131i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 1.80417 | 0.0698576 | ||||||||
\(668\) | 16.4764 | 0.637492 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 46.1106 | + | 95.7496i | 1.78141 | + | 3.69913i | ||||
\(671\) | 37.8883 | + | 47.5105i | 1.46266 | + | 1.83412i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −4.78696 | + | 6.00266i | −0.184524 | + | 0.231386i | −0.865486 | − | 0.500933i | \(-0.832990\pi\) |
0.680962 | + | 0.732319i | \(0.261562\pi\) | |||||||
\(674\) | −46.4294 | − | 10.5972i | −1.78839 | − | 0.408189i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 22.7495 | − | 10.9556i | 0.874980 | − | 0.421368i | ||||
\(677\) | 27.0462 | + | 33.9149i | 1.03947 | + | 1.30346i | 0.951605 | + | 0.307323i | \(0.0994332\pi\) |
0.0878656 | + | 0.996132i | \(0.471995\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −4.97381 | − | 5.90233i | −0.190877 | − | 0.226511i | ||||
\(680\) | 0.00265269 | + | 0.00550837i | 0.000101726 | + | 0.000211237i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −26.5474 | + | 6.05927i | −1.01655 | + | 0.232022i | ||||
\(683\) | 9.51245 | − | 19.7528i | 0.363984 | − | 0.755820i | −0.635889 | − | 0.771781i | \(-0.719366\pi\) |
0.999873 | + | 0.0159608i | \(0.00508069\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 22.9251i | 0.875921i | ||||||||
\(686\) | 5.46766 | − | 37.8942i | 0.208756 | − | 1.44681i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −0.985517 | + | 1.23580i | −0.0375725 | + | 0.0471144i | ||||
\(689\) | −8.66739 | − | 4.17399i | −0.330201 | − | 0.159017i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −15.6054 | + | 32.4051i | −0.593659 | + | 1.23275i | 0.360307 | + | 0.932834i | \(0.382672\pi\) |
−0.953967 | + | 0.299913i | \(0.903042\pi\) | |||||||
\(692\) | 5.86414 | − | 2.82402i | 0.222921 | − | 0.107353i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −41.4347 | − | 19.9539i | −1.57284 | − | 0.757439i | ||||
\(695\) | 16.4816 | − | 13.1436i | 0.625183 | − | 0.498567i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 0.0130468 | − | 0.0163602i | 0.000494184 | − | 0.000619687i | ||||
\(698\) | 1.95113 | − | 8.54848i | 0.0738515 | − | 0.323565i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −2.28230 | − | 84.4039i | −0.0862628 | − | 3.19017i | ||||
\(701\) | 7.18722 | − | 5.73162i | 0.271458 | − | 0.216480i | −0.478294 | − | 0.878200i | \(-0.658745\pi\) |
0.749751 | + | 0.661720i | \(0.230173\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 44.7409 | + | 10.2118i | 1.68743 | + | 0.385146i | ||||
\(704\) | 40.7457i | 1.53566i | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −9.19852 | − | 2.09950i | −0.346191 | − | 0.0790158i | ||||
\(707\) | −23.4713 | + | 6.02906i | −0.882730 | + | 0.226746i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 7.15245 | + | 31.3369i | 0.268616 | + | 1.17688i | 0.911625 | + | 0.411024i | \(0.134829\pi\) |
−0.643009 | + | 0.765859i | \(0.722314\pi\) | |||||||
\(710\) | −25.3020 | − | 31.7277i | −0.949568 | − | 1.19072i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 3.47377 | − | 0.792866i | 0.130185 | − | 0.0297139i | ||||
\(713\) | −0.799674 | − | 3.50360i | −0.0299480 | − | 0.131211i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −5.43463 | + | 23.8107i | −0.203244 | + | 0.890469i | ||||
\(716\) | 24.4829i | 0.914969i | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 8.47228 | − | 37.1195i | 0.316182 | − | 1.38529i | ||||
\(719\) | −31.2682 | + | 15.0580i | −1.16611 | + | 0.561568i | −0.913834 | − | 0.406087i | \(-0.866893\pi\) |
−0.252274 | + | 0.967656i | \(0.581179\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −1.91738 | − | 7.46441i | −0.0714068 | − | 0.277989i | ||||
\(722\) | 7.25613 | + | 5.78657i | 0.270045 | + | 0.215354i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 26.3762 | + | 21.0343i | 0.980263 | + | 0.781734i | ||||
\(725\) | 9.90255 | + | 20.5629i | 0.367771 | + | 0.763685i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 6.04878 | − | 12.5604i | 0.224337 | − | 0.465840i | −0.758172 | − | 0.652054i | \(-0.773907\pi\) |
0.982509 | + | 0.186214i | \(0.0596217\pi\) | |||||||
\(728\) | 0.843376 | − | 1.87963i | 0.0312576 | − | 0.0696638i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −45.1554 | − | 21.7457i | −1.67128 | − | 0.804844i | ||||
\(731\) | 0.000257924 | 0.00113004i | 9.53967e−6 | 4.17960e-5i | ||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 29.0186 | + | 23.1416i | 1.07183 | + | 0.854753i | 0.989883 | − | 0.141884i | \(-0.0453160\pi\) |
0.0819430 | + | 0.996637i | \(0.473887\pi\) | |||||||
\(734\) | 70.1915 | 2.59082 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −9.00333 | −0.331867 | ||||||||
\(737\) | 37.4636 | + | 29.8762i | 1.37999 | + | 1.10051i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −5.18637 | − | 22.7230i | −0.190784 | − | 0.835878i | −0.976193 | − | 0.216902i | \(-0.930405\pi\) |
0.785410 | − | 0.618976i | \(-0.212452\pi\) | |||||||
\(740\) | 84.6291 | + | 40.7552i | 3.11103 | + | 1.49819i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 37.0255 | − | 9.51072i | 1.35925 | − | 0.349149i | ||||
\(743\) | −2.69045 | + | 5.58678i | −0.0987032 | + | 0.204959i | −0.944473 | − | 0.328588i | \(-0.893427\pi\) |
0.845770 | + | 0.533548i | \(0.179141\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 20.1185 | + | 41.7766i | 0.737086 | + | 1.53058i | ||||
\(746\) | −43.4511 | − | 34.6511i | −1.59086 | − | 1.26867i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 0.0179068 | + | 0.0142802i | 0.000654737 | + | 0.000522135i | ||||
\(749\) | −7.37432 | + | 36.8773i | −0.269452 | + | 1.34747i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 6.48350 | − | 3.12229i | 0.236586 | − | 0.113934i | −0.311835 | − | 0.950136i | \(-0.600943\pi\) |
0.548421 | + | 0.836202i | \(0.315229\pi\) | |||||||
\(752\) | −1.82281 | + | 7.98627i | −0.0664712 | + | 0.291229i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 4.62675i | 0.168496i | ||||||||
\(755\) | 7.08525 | − | 31.0425i | 0.257859 | − | 1.12975i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −7.52407 | − | 32.9651i | −0.273467 | − | 1.19814i | −0.905890 | − | 0.423514i | \(-0.860796\pi\) |
0.632423 | − | 0.774624i | \(-0.282061\pi\) | |||||||
\(758\) | 39.6430 | − | 9.04827i | 1.43990 | − | 0.328648i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 7.45862 | + | 9.35281i | 0.270553 | + | 0.339262i | ||||
\(761\) | −7.11305 | − | 31.1643i | −0.257848 | − | 1.12971i | −0.923547 | − | 0.383485i | \(-0.874724\pi\) |
0.665699 | − | 0.746220i | \(-0.268133\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −0.568622 | − | 21.0288i | −0.0205855 | − | 0.761292i | ||||
\(764\) | 26.0520 | + | 5.94619i | 0.942527 | + | 0.215126i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 49.5489i | 1.79027i | ||||||||
\(767\) | 11.0270 | + | 2.51684i | 0.398162 | + | 0.0908779i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 24.2017 | − | 19.3002i | 0.872735 | − | 0.695983i | −0.0809736 | − | 0.996716i | \(-0.525803\pi\) |
0.953708 | + | 0.300734i | \(0.0972315\pi\) | |||||||
\(770\) | −44.4567 | − | 86.2692i | −1.60211 | − | 3.10893i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 3.10821 | − | 13.6179i | 0.111867 | − | 0.490121i | ||||
\(773\) | 5.89943 | − | 7.39765i | 0.212188 | − | 0.266075i | −0.664336 | − | 0.747434i | \(-0.731285\pi\) |
0.876523 | + | 0.481359i | \(0.159857\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 35.5428 | − | 28.3445i | 1.27674 | − | 1.01816i | ||||
\(776\) | 1.48696 | + | 0.716084i | 0.0533789 | + | 0.0257059i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −41.0401 | + | 19.7639i | −1.47136 | + | 0.708570i | ||||
\(779\) | 17.7650 | − | 36.8894i | 0.636496 | − | 1.32170i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −16.4856 | − | 7.93906i | −0.589902 | − | 0.284082i | ||||
\(782\) | −0.00354243 | + | 0.00444206i | −0.000126677 | + | 0.000158848i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −6.49947 | − | 22.7338i | −0.232124 | − | 0.811921i | ||||
\(785\) | 57.0659i | 2.03677i | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −1.28538 | + | 2.66912i | −0.0458189 | + | 0.0951439i | −0.922622 | − | 0.385707i | \(-0.873958\pi\) |
0.876803 | + | 0.480850i | \(0.159672\pi\) | |||||||
\(788\) | 6.68032 | − | 1.52474i | 0.237976 | − | 0.0543166i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −39.3619 | − | 81.7358i | −1.40043 | − | 2.90803i | ||||
\(791\) | 7.72264 | − | 38.6191i | 0.274585 | − | 1.37314i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −12.8232 | − | 16.0798i | −0.455366 | − | 0.571011i | ||||
\(794\) | −46.6659 | + | 22.4731i | −1.65611 | + | 0.797540i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −46.8759 | − | 10.6991i | −1.66147 | − | 0.379220i | ||||
\(797\) | 24.2657 | − | 30.4282i | 0.859535 | − | 1.07782i | −0.136655 | − | 0.990619i | \(-0.543635\pi\) |
0.996190 | − | 0.0872044i | \(-0.0277933\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 0.00374531 | + | 0.00469646i | 0.000132499 | + | 0.000166149i | ||||
\(800\) | −49.4166 | − | 102.615i | −1.74714 | − | 3.62798i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 31.4519 | 1.11060 | ||||||||
\(803\) | −22.5980 | −0.797465 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 11.3854 | − | 5.86718i | 0.401283 | − | 0.206791i | ||||
\(806\) | 8.98492 | − | 2.05075i | 0.316480 | − | 0.0722346i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 4.05117 | − | 3.23070i | 0.142519 | − | 0.113656i | ||||
\(809\) | 14.7897 | − | 11.7944i | 0.519979 | − | 0.414670i | −0.328017 | − | 0.944672i | \(-0.606380\pi\) |
0.847996 | + | 0.530002i | \(0.177809\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −21.4007 | + | 4.88457i | −0.751480 | + | 0.171521i | −0.581071 | − | 0.813853i | \(-0.697366\pi\) |
−0.170409 | + | 0.985373i | \(0.554509\pi\) | |||||||
\(812\) | −6.30306 | − | 7.47974i | −0.221194 | − | 0.262487i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 79.6076 | 2.79024 | ||||||||
\(815\) | 1.68562 | 0.0590446 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 0.984034 | + | 2.04337i | 0.0344270 | + | 0.0714884i | ||||
\(818\) | −16.0839 | − | 20.1686i | −0.562360 | − | 0.705177i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 52.2515 | − | 65.5213i | 1.82470 | − | 2.28810i | ||||
\(821\) | −11.7531 | − | 2.68256i | −0.410185 | − | 0.0936221i | 0.0124488 | − | 0.999923i | \(-0.496037\pi\) |
−0.422634 | + | 0.906300i | \(0.638894\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 39.6190 | − | 19.0795i | 1.38103 | − | 0.665070i | 0.411813 | − | 0.911268i | \(-0.364896\pi\) |
0.969219 | + | 0.246198i | \(0.0791814\pi\) | |||||||
\(824\) | 1.02743 | + | 1.28836i | 0.0357924 | + | 0.0448822i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −39.9523 | + | 20.5884i | −1.39012 | + | 0.716363i | ||||
\(827\) | −3.87859 | − | 8.05398i | −0.134872 | − | 0.280064i | 0.822584 | − | 0.568643i | \(-0.192532\pi\) |
−0.957456 | + | 0.288579i | \(0.906817\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 41.1702 | − | 9.39684i | 1.42990 | − | 0.326366i | 0.563667 | − | 0.826002i | \(-0.309390\pi\) |
0.866235 | + | 0.499637i | \(0.166533\pi\) | |||||||
\(830\) | −65.7820 | + | 136.598i | −2.28333 | + | 4.74138i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | − | 13.7903i | − | 0.478093i | ||||||
\(833\) | −0.0160054 | − | 0.00666782i | −0.000554555 | − | 0.000231026i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −19.7132 | + | 24.7196i | −0.682203 | + | 0.855456i | ||||
\(836\) | 40.3766 | + | 19.4443i | 1.39645 | + | 0.672497i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 16.7200 | − | 34.7195i | 0.577584 | − | 1.19937i | ||||
\(839\) | −22.0943 | + | 10.6400i | −0.762779 | + | 0.367335i | −0.774482 | − | 0.632596i | \(-0.781989\pi\) |
0.0117024 | + | 0.999932i | \(0.496275\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −23.7460 | − | 11.4355i | −0.818827 | − | 0.394326i | ||||
\(842\) | −18.1509 | + | 14.4748i | −0.625520 | + | 0.498836i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −21.8379 | + | 27.3839i | −0.751693 | + | 0.942593i | ||||
\(845\) | −10.7819 | + | 47.2388i | −0.370910 | + | 1.62506i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −11.7011 | − | 8.82460i | −0.402054 | − | 0.303217i | ||||
\(848\) | 18.4576 | − | 14.7194i | 0.633836 | − | 0.505468i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −0.0700714 | − | 0.0159933i | −0.00240343 | − | 0.000548567i | ||||
\(851\) | 10.5062i | 0.360149i | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 10.5434 | + | 2.40645i | 0.360998 | + | 0.0823954i | 0.399173 | − | 0.916876i | \(-0.369297\pi\) |
−0.0381750 | + | 0.999271i | \(0.512154\pi\) | |||||||
\(854\) | 80.1405 | + | 16.0256i | 2.74235 | + | 0.548385i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −1.78936 | − | 7.83971i | −0.0611591 | − | 0.267956i | ||||
\(857\) | −16.6335 | − | 20.8577i | −0.568189 | − | 0.712486i | 0.411859 | − | 0.911248i | \(-0.364880\pi\) |
−0.980048 | + | 0.198761i | \(0.936308\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −43.0235 | + | 9.81983i | −1.46794 | + | 0.335048i | −0.880434 | − | 0.474170i | \(-0.842748\pi\) |
−0.587509 | + | 0.809218i | \(0.699891\pi\) | |||||||
\(860\) | 1.03296 | + | 4.52571i | 0.0352238 | + | 0.154325i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 18.7638 | − | 82.2097i | 0.639098 | − | 2.80007i | ||||
\(863\) | − | 8.40308i | − | 0.286044i | −0.989719 | − | 0.143022i | \(-0.954318\pi\) | ||
0.989719 | − | 0.143022i | \(-0.0456820\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −2.77927 | + | 12.1768i | −0.0944980 | + | 0.414023i | ||||
\(866\) | 24.5990 | − | 11.8463i | 0.835909 | − | 0.402553i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −11.7315 | + | 15.5555i | −0.398194 | + | 0.527989i | ||||
\(869\) | −31.9805 | − | 25.5036i | −1.08486 | − | 0.865151i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −12.6795 | − | 10.1116i | −0.429628 | − | 0.342617i | ||||
\(872\) | 1.95164 | + | 4.05263i | 0.0660909 | + | 0.137239i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −4.82348 | + | 10.0161i | −0.163157 | + | 0.338798i | ||||
\(875\) | 83.2802 | + | 62.8074i | 2.81538 | + | 2.12328i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −30.3155 | − | 14.5992i | −1.02368 | − | 0.492978i | −0.154771 | − | 0.987950i | \(-0.549464\pi\) |
−0.868909 | + | 0.494972i | \(0.835178\pi\) | |||||||
\(878\) | 8.28373 | + | 36.2934i | 0.279562 | + | 1.22484i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −46.8593 | − | 37.3690i | −1.57963 | − | 1.25971i | ||||
\(881\) | −41.2262 | −1.38895 | −0.694474 | − | 0.719518i | \(-0.744363\pi\) | ||||
−0.694474 | + | 0.719518i | \(0.744363\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −3.51281 | −0.118215 | −0.0591077 | − | 0.998252i | \(-0.518826\pi\) | ||||
−0.0591077 | + | 0.998252i | \(0.518826\pi\) | |||||||
\(884\) | −0.00606051 | − | 0.00483310i | −0.000203837 | − | 0.000162555i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 10.1762 | + | 44.5848i | 0.341875 | + | 1.49785i | ||||
\(887\) | 28.6866 | + | 13.8147i | 0.963201 | + | 0.463853i | 0.848295 | − | 0.529523i | \(-0.177629\pi\) |
0.114906 | + | 0.993376i | \(0.463343\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −20.0140 | − | 38.8377i | −0.671249 | − | 1.30257i | ||||
\(890\) | −24.6484 | + | 51.1829i | −0.826215 | + | 1.71565i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 4.88189 | + | 10.1374i | 0.163458 | + | 0.339424i | ||||
\(893\) | 9.18939 | + | 7.32829i | 0.307511 | + | 0.245232i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −36.7317 | − | 29.2926i | −1.22781 | − | 0.979142i | ||||
\(896\) | 7.64381 | + | 9.07078i | 0.255362 | + | 0.303034i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 14.4973 | − | 6.98154i | 0.483782 | − | 0.232977i | ||||
\(899\) | 1.17189 | − | 5.13440i | 0.0390848 | − | 0.171242i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | − | 0.0173120i | − | 0.000576748i | ||||||
\(902\) | 15.8046 | − | 69.2446i | 0.526237 | − | 2.30559i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 1.87388 | + | 8.21001i | 0.0623243 | + | 0.273061i | ||||
\(905\) | −63.1155 | + | 14.4057i | −2.09803 | + | 0.478862i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 15.5943 | + | 19.5546i | 0.517800 | + | 0.649300i | 0.970140 | − | 0.242545i | \(-0.0779822\pi\) |
−0.452340 | + | 0.891845i | \(0.649411\pi\) | |||||||
\(908\) | −10.0290 | − | 43.9397i | −0.332823 | − | 1.45819i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 15.0463 | + | 29.1976i | 0.498779 | + | 0.967892i | ||||
\(911\) | 26.2429 | + | 5.98976i | 0.869465 | + | 0.198450i | 0.633906 | − | 0.773410i | \(-0.281451\pi\) |
0.235559 | + | 0.971860i | \(0.424308\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 68.3602i | 2.26239i | ||||||||
\(914\) | −36.8935 | − | 8.42070i | −1.22033 | − | 0.278532i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −22.2869 | + | 17.7732i | −0.736382 | + | 0.587245i | ||||
\(917\) | −4.39899 | + | 9.80404i | −0.145267 | + | 0.323758i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 7.60122 | − | 33.3031i | 0.250741 | − | 1.09857i | −0.680093 | − | 0.733126i | \(-0.738060\pi\) |
0.930834 | − | 0.365443i | \(-0.119082\pi\) | |||||||
\(920\) | −1.70755 | + | 2.14120i | −0.0562962 | + | 0.0705932i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 48.9265 | − | 39.0176i | 1.61131 | − | 1.28498i | ||||
\(923\) | 5.57953 | + | 2.68696i | 0.183652 | + | 0.0884423i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −119.744 | + | 57.6656i | −3.93715 | + | 1.89603i | ||||
\(926\) | −21.5208 | + | 44.6884i | −0.707217 | + | 1.46855i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −11.8874 | − | 5.72468i | −0.390223 | − | 0.187922i | ||||
\(929\) | 18.3586 | − | 23.0210i | 0.602327 | − | 0.755294i | −0.383412 | − | 0.923577i | \(-0.625251\pi\) |
0.985739 | + | 0.168284i | \(0.0538224\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −33.4352 | − | 5.75081i | −1.09579 | − | 0.188475i | ||||
\(932\) | 48.9737i | 1.60419i | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −12.4286 | + | 25.8083i | −0.406676 | + | 0.844472i | ||||
\(935\) | −0.0428491 | + | 0.00978003i | −0.00140132 | + | 0.000319841i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −16.6392 | − | 34.5516i | −0.543578 | − | 1.12875i | −0.974089 | − | 0.226166i | \(-0.927381\pi\) |
0.430511 | − | 0.902585i | \(-0.358333\pi\) | |||||||
\(938\) | 64.4210 | − | 1.74196i | 2.10342 | − | 0.0568770i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 14.9996 | + | 18.8089i | 0.489234 | + | 0.613480i | ||||
\(941\) | 34.8714 | − | 16.7932i | 1.13677 | − | 0.547442i | 0.231739 | − | 0.972778i | \(-0.425558\pi\) |
0.905035 | + | 0.425336i | \(0.139844\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 9.13858 | + | 2.08582i | 0.297593 | + | 0.0679237i | ||||
\(944\) | −17.3060 | + | 21.7011i | −0.563264 | + | 0.706310i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 2.45295 | + | 3.07590i | 0.0797522 | + | 0.100006i | ||||
\(947\) | 0.566474 | + | 1.17629i | 0.0184079 | + | 0.0382245i | 0.909970 | − | 0.414674i | \(-0.136104\pi\) |
−0.891562 | + | 0.452898i | \(0.850390\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 7.64824 | 0.248272 | ||||||||
\(950\) | −140.632 | −4.56270 | ||||||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 0.00370608 | 0.000100213i | 0.000120115 | 3.24792e-6i | ||||||
\(953\) | −26.4806 | + | 6.04403i | −0.857792 | + | 0.195785i | −0.628727 | − | 0.777626i | \(-0.716424\pi\) |
−0.229065 | + | 0.973411i | \(0.573567\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −40.0909 | + | 31.9715i | −1.29731 | + | 1.03457i | ||||
\(956\) | 17.3302 | − | 13.8204i | 0.560499 | − | 0.446983i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 21.8696 | − | 4.99159i | 0.706574 | − | 0.161271i | ||||
\(959\) | 12.6835 | + | 5.69099i | 0.409572 | + | 0.183772i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 20.5098 | 0.661608 | ||||||||
\(962\) | −26.9430 | −0.868678 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 9.45420 | + | 19.6318i | 0.304499 | + | 0.632299i | ||||
\(965\) | 16.7122 | + | 20.9564i | 0.537985 | + | 0.674611i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 15.4663 | − | 19.3941i | 0.497362 | − | 0.623672i | −0.468270 | − | 0.883585i | \(-0.655123\pi\) |
0.965632 | + | 0.259913i | \(0.0836940\pi\) | |||||||
\(968\) | 3.05515 | + | 0.697318i | 0.0981962 | + | 0.0224127i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −23.7075 | + | 11.4169i | −0.761203 | + | 0.366576i | ||||
\(971\) | −3.64436 | − | 4.56988i | −0.116953 | − | 0.146654i | 0.719909 | − | 0.694069i | \(-0.244184\pi\) |
−0.836862 | + | 0.547414i | \(0.815612\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −3.18041 | − | 12.3814i | −0.101959 | − | 0.396931i | ||||
\(974\) | −12.0665 | − | 25.0564i | −0.386636 | − | 0.802859i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 49.2067 | − | 11.2311i | 1.57507 | − | 0.359499i | ||||
\(977\) | −8.68106 | + | 18.0264i | −0.277732 | + | 0.576716i | −0.992443 | − | 0.122703i | \(-0.960844\pi\) |
0.714712 | + | 0.699419i | \(0.246558\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 25.6144i | 0.818640i | ||||||||
\(980\) | −64.1004 | − | 26.7040i | −2.04761 | − | 0.853029i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 41.4153 | − | 51.9332i | 1.32162 | − | 1.65726i | ||||
\(983\) | 3.55339 | + | 1.71122i | 0.113336 | + | 0.0545796i | 0.489692 | − | 0.871895i | \(-0.337109\pi\) |
−0.376357 | + | 0.926475i | \(0.622823\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −5.70509 | + | 11.8467i | −0.181779 | + | 0.377469i | ||||
\(986\) | −0.00750164 | + | 0.00361260i | −0.000238901 | + | 0.000115049i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −13.6654 | − | 6.58090i | −0.434754 | − | 0.209366i | ||||
\(989\) | −0.405943 | + | 0.323728i | −0.0129082 | + | 0.0102940i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −35.1091 | + | 44.0254i | −1.11528 | + | 1.39851i | −0.207922 | + | 0.978145i | \(0.566670\pi\) |
−0.907354 | + | 0.420367i | \(0.861901\pi\) | |||||||
\(992\) | −5.84809 | + | 25.6221i | −0.185677 | + | 0.813504i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −23.8347 | + | 6.12241i | −0.755992 | + | 0.194191i | ||||
\(995\) | 72.1365 | − | 57.5269i | 2.28688 | − | 1.82373i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 43.1103 | + | 9.83965i | 1.36532 | + | 0.311625i | 0.841524 | − | 0.540220i | \(-0.181659\pi\) |
0.523794 | + | 0.851845i | \(0.324516\pi\) | |||||||
\(998\) | − | 8.84009i | − | 0.279828i | ||||||
\(999\) | 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 | 441.2.w.a.251.4 | yes | 120 | |
3.2 | odd | 2 | inner | 441.2.w.a.251.17 | yes | 120 | |
49.41 | odd | 14 | inner | 441.2.w.a.188.17 | yes | 120 | |
147.41 | even | 14 | inner | 441.2.w.a.188.4 | ✓ | 120 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
441.2.w.a.188.4 | ✓ | 120 | 147.41 | even | 14 | inner | |
441.2.w.a.188.17 | yes | 120 | 49.41 | odd | 14 | inner | |
441.2.w.a.251.4 | yes | 120 | 1.1 | even | 1 | trivial | |
441.2.w.a.251.17 | yes | 120 | 3.2 | odd | 2 | inner |