Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [184,2,Mod(9,184)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(184, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 0, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("184.9");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 184 = 2^{3} \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 184.i (of order \(11\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.46924739719\) |
Analytic rank: | \(0\) |
Dimension: | \(30\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{11})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 49.2 | ||
Character | \(\chi\) | \(=\) | 184.49 |
Dual form | 184.2.i.b.169.2 |
$q$-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 \(\left(\mathbb{Z}/184\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(93\) | \(97\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{8}{11}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | −0.246469 | + | 0.539692i | −0.142299 | + | 0.311592i | −0.967340 | − | 0.253481i | \(-0.918425\pi\) |
0.825041 | + | 0.565072i | \(0.191152\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −1.62555 | + | 1.87599i | −0.726970 | + | 0.838968i | −0.992127 | − | 0.125237i | \(-0.960031\pi\) |
0.265157 | + | 0.964205i | \(0.414576\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −3.01490 | + | 1.93756i | −1.13952 | + | 0.732328i | −0.967526 | − | 0.252770i | \(-0.918659\pi\) |
−0.171998 | + | 0.985097i | \(0.555022\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 1.73406 | + | 2.00121i | 0.578020 | + | 0.667071i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −0.0440765 | + | 0.306559i | −0.0132896 | + | 0.0924310i | −0.995387 | − | 0.0959441i | \(-0.969413\pi\) |
0.982097 | + | 0.188375i | \(0.0603221\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.908855 | − | 0.584086i | −0.252071 | − | 0.161996i | 0.408503 | − | 0.912757i | \(-0.366051\pi\) |
−0.660574 | + | 0.750761i | \(0.729687\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −0.611808 | − | 1.33967i | −0.157968 | − | 0.345902i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 5.48698 | + | 1.61112i | 1.33079 | + | 0.390755i | 0.868374 | − | 0.495909i | \(-0.165165\pi\) |
0.462414 | + | 0.886664i | \(0.346983\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −1.75191 | + | 0.514408i | −0.401916 | + | 0.118013i | −0.476442 | − | 0.879206i | \(-0.658074\pi\) |
0.0745260 | + | 0.997219i | \(0.476256\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −0.302605 | − | 2.10467i | −0.0660339 | − | 0.459276i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −1.56872 | − | 4.53201i | −0.327100 | − | 0.944990i | ||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.165336 | − | 1.14994i | −0.0330673 | − | 0.229988i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −3.21526 | + | 0.944085i | −0.618777 | + | 0.181689i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 5.76293 | + | 1.69215i | 1.07015 | + | 0.314224i | 0.768931 | − | 0.639331i | \(-0.220789\pi\) |
0.301218 | + | 0.953555i | \(0.402607\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 2.88600 | + | 6.31946i | 0.518341 | + | 1.13501i | 0.970064 | + | 0.242850i | \(0.0780822\pi\) |
−0.451723 | + | 0.892158i | \(0.649191\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −0.154584 | − | 0.0993451i | −0.0269096 | − | 0.0172938i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 1.26604 | − | 8.80552i | 0.214000 | − | 1.48840i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −6.47749 | − | 7.47543i | −1.06489 | − | 1.22895i | −0.972420 | − | 0.233237i | \(-0.925068\pi\) |
−0.0924735 | − | 0.995715i | \(-0.529477\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 0.539231 | − | 0.346543i | 0.0863461 | − | 0.0554913i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 4.32093 | − | 4.98662i | 0.674816 | − | 0.778779i | −0.310306 | − | 0.950637i | \(-0.600432\pi\) |
0.985122 | + | 0.171858i | \(0.0549770\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 1.19479 | − | 2.61623i | 0.182204 | − | 0.398972i | −0.796386 | − | 0.604788i | \(-0.793258\pi\) |
0.978591 | + | 0.205816i | \(0.0659850\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −6.57307 | −0.979855 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 12.3753 | 1.80513 | 0.902563 | − | 0.430557i | \(-0.141683\pi\) | ||||
0.902563 | + | 0.430557i | \(0.141683\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 2.42757 | − | 5.31565i | 0.346796 | − | 0.759378i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −2.22188 | + | 2.56419i | −0.311126 | + | 0.359058i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −6.96589 | + | 4.47671i | −0.956839 | + | 0.614923i | −0.923122 | − | 0.384508i | \(-0.874371\pi\) |
−0.0337176 | + | 0.999431i | \(0.510735\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −0.503453 | − | 0.581015i | −0.0678855 | − | 0.0783441i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 0.154170 | − | 1.07228i | 0.0204204 | − | 0.142027i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 2.93452 | + | 1.88590i | 0.382042 | + | 0.245523i | 0.717540 | − | 0.696518i | \(-0.245268\pi\) |
−0.335498 | + | 0.942041i | \(0.608905\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 3.34920 | + | 7.33372i | 0.428821 | + | 0.938986i | 0.993517 | + | 0.113687i | \(0.0362661\pi\) |
−0.564696 | + | 0.825299i | \(0.691007\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −9.10548 | − | 2.67361i | −1.14718 | − | 0.336843i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 2.57313 | − | 0.755540i | 0.319158 | − | 0.0937132i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 0.211823 | + | 1.47326i | 0.0258783 | + | 0.179988i | 0.998661 | − | 0.0517315i | \(-0.0164740\pi\) |
−0.972783 | + | 0.231719i | \(0.925565\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 2.83253 | + | 0.270376i | 0.340997 | + | 0.0325494i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −0.758305 | − | 5.27413i | −0.0899943 | − | 0.625924i | −0.984040 | − | 0.177948i | \(-0.943054\pi\) |
0.894046 | − | 0.447976i | \(-0.147855\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −8.17609 | + | 2.40072i | −0.956939 | + | 0.280983i | −0.722673 | − | 0.691190i | \(-0.757087\pi\) |
−0.234266 | + | 0.972173i | \(0.575269\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 0.661364 | + | 0.194194i | 0.0763678 | + | 0.0224236i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −0.461089 | − | 1.00964i | −0.0525460 | − | 0.115060i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 7.14090 | + | 4.58918i | 0.803414 | + | 0.516323i | 0.876728 | − | 0.480986i | \(-0.159721\pi\) |
−0.0733140 | + | 0.997309i | \(0.523358\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −0.847596 | + | 5.89516i | −0.0941773 | + | 0.655018i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 2.29959 | + | 2.65387i | 0.252413 | + | 0.291300i | 0.867788 | − | 0.496934i | \(-0.165541\pi\) |
−0.615375 | + | 0.788234i | \(0.710996\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −11.9418 | + | 7.67455i | −1.29527 | + | 0.832422i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −2.33362 | + | 2.69315i | −0.250191 | + | 0.288736i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −0.450235 | + | 0.985878i | −0.0477248 | + | 0.104503i | −0.931992 | − | 0.362478i | \(-0.881931\pi\) |
0.884268 | + | 0.466981i | \(0.154658\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 3.87180 | 0.405875 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −4.12187 | −0.427418 | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 1.88280 | − | 4.12277i | 0.193172 | − | 0.422987i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 0.692559 | − | 0.799256i | 0.0703187 | − | 0.0811521i | −0.719500 | − | 0.694492i | \(-0.755629\pi\) |
0.789819 | + | 0.613340i | \(0.210175\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −0.689921 | + | 0.443385i | −0.0693397 | + | 0.0445619i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 4.53515 | + | 5.23385i | 0.451265 | + | 0.520787i | 0.935106 | − | 0.354369i | \(-0.115304\pi\) |
−0.483841 | + | 0.875156i | \(0.660759\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −2.22281 | + | 15.4600i | −0.219020 | + | 1.52331i | 0.522649 | + | 0.852548i | \(0.324944\pi\) |
−0.741668 | + | 0.670767i | \(0.765965\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 4.44023 | + | 2.85356i | 0.433322 | + | 0.278479i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 6.50514 | + | 14.2443i | 0.628876 | + | 1.37705i | 0.908884 | + | 0.417048i | \(0.136935\pi\) |
−0.280009 | + | 0.959997i | \(0.590337\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −14.3291 | − | 4.20741i | −1.37248 | − | 0.402997i | −0.489336 | − | 0.872095i | \(-0.662761\pi\) |
−0.883146 | + | 0.469098i | \(0.844579\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 5.63093 | − | 1.65339i | 0.534465 | − | 0.156933i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −2.34780 | − | 16.3293i | −0.220862 | − | 1.53613i | −0.734789 | − | 0.678296i | \(-0.762719\pi\) |
0.513927 | − | 0.857834i | \(-0.328190\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 11.0520 | + | 4.42413i | 1.03061 | + | 0.412552i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −0.407130 | − | 2.83165i | −0.0376392 | − | 0.261786i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −19.6643 | + | 5.77397i | −1.80263 | + | 0.529299i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 10.4624 | + | 3.07203i | 0.951126 | + | 0.279276i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 1.62626 | + | 3.56102i | 0.146635 | + | 0.321086i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −8.01514 | − | 5.15102i | −0.716896 | − | 0.460721i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 2.22074 | − | 15.4456i | 0.197059 | − | 1.37057i | −0.615704 | − | 0.787978i | \(-0.711128\pi\) |
0.812762 | − | 0.582595i | \(-0.197963\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 1.11748 | + | 1.28964i | 0.0983888 | + | 0.113547i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 7.21902 | − | 4.63938i | 0.630729 | − | 0.405345i | −0.185851 | − | 0.982578i | \(-0.559504\pi\) |
0.816579 | + | 0.577233i | \(0.195868\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 4.28514 | − | 4.94532i | 0.371569 | − | 0.428813i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 3.45548 | − | 7.56645i | 0.297401 | − | 0.651217i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 6.38302 | 0.545338 | 0.272669 | − | 0.962108i | \(-0.412094\pi\) | ||||
0.272669 | + | 0.962108i | \(0.412094\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −21.1827 | −1.79670 | −0.898348 | − | 0.439284i | \(-0.855232\pi\) | ||||
−0.898348 | + | 0.439284i | \(0.855232\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −3.05014 | + | 6.67887i | −0.256868 | + | 0.562462i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 0.219116 | − | 0.252873i | 0.0183234 | − | 0.0211463i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −12.5424 | + | 8.06052i | −1.04159 | + | 0.669389i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 2.27049 | + | 2.62029i | 0.187267 | + | 0.216118i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 0.782734 | − | 5.44403i | 0.0641241 | − | 0.445993i | −0.932313 | − | 0.361652i | \(-0.882213\pi\) |
0.996437 | − | 0.0843401i | \(-0.0268782\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −0.794712 | − | 0.510731i | −0.0646728 | − | 0.0415627i | 0.507905 | − | 0.861413i | \(-0.330420\pi\) |
−0.572578 | + | 0.819850i | \(0.694056\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 6.29056 | + | 13.7744i | 0.508562 | + | 1.11359i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −16.5466 | − | 4.85852i | −1.32905 | − | 0.390245i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 21.2087 | − | 6.22742i | 1.69264 | − | 0.497003i | 0.713576 | − | 0.700578i | \(-0.247074\pi\) |
0.979059 | + | 0.203575i | \(0.0652561\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −0.699167 | − | 4.86281i | −0.0554475 | − | 0.385646i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 13.5106 | + | 10.6241i | 1.06478 | + | 0.837294i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −2.83323 | − | 19.7056i | −0.221916 | − | 1.54346i | −0.730781 | − | 0.682612i | \(-0.760844\pi\) |
0.508865 | − | 0.860846i | \(-0.330065\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 0.437655 | − | 0.128507i | 0.0340714 | − | 0.0100043i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −6.12254 | − | 1.79774i | −0.473776 | − | 0.139113i | 0.0361230 | − | 0.999347i | \(-0.488499\pi\) |
−0.509899 | + | 0.860234i | \(0.670317\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −4.91553 | − | 10.7635i | −0.378118 | − | 0.827963i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −4.06736 | − | 2.61393i | −0.311039 | − | 0.199893i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −0.139777 | + | 0.972168i | −0.0106270 | + | 0.0739125i | −0.994445 | − | 0.105259i | \(-0.966433\pi\) |
0.983818 | + | 0.179172i | \(0.0573418\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 2.72655 | + | 3.14660i | 0.206108 | + | 0.237861i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −1.74107 | + | 1.11892i | −0.130867 | + | 0.0841032i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 16.3587 | − | 18.8789i | 1.22270 | − | 1.41108i | 0.340477 | − | 0.940253i | \(-0.389412\pi\) |
0.882228 | − | 0.470823i | \(-0.156043\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 6.78983 | − | 14.8677i | 0.504684 | − | 1.10510i | −0.470234 | − | 0.882542i | \(-0.655830\pi\) |
0.974918 | − | 0.222563i | \(-0.0714423\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −4.78342 | −0.353601 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 24.5533 | 1.80520 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −0.735751 | + | 1.61107i | −0.0538035 | + | 0.117813i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 7.86446 | − | 9.07607i | 0.572055 | − | 0.660187i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 8.24418 | − | 5.29821i | 0.596528 | − | 0.383365i | −0.207256 | − | 0.978287i | \(-0.566453\pi\) |
0.803784 | + | 0.594922i | \(0.202817\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −13.0379 | − | 15.0466i | −0.938491 | − | 1.08308i | −0.996402 | − | 0.0847550i | \(-0.972989\pi\) |
0.0579104 | − | 0.998322i | \(-0.481556\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −0.226439 | + | 1.57492i | −0.0162156 | + | 0.112782i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 5.37943 | + | 3.45715i | 0.383268 | + | 0.246312i | 0.718061 | − | 0.695980i | \(-0.245030\pi\) |
−0.334793 | + | 0.942292i | \(0.608666\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 6.56077 | + | 14.3661i | 0.465080 | + | 1.01838i | 0.986300 | + | 0.164961i | \(0.0527500\pi\) |
−0.521220 | + | 0.853423i | \(0.674523\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −0.847317 | − | 0.248795i | −0.0597651 | − | 0.0175486i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −20.6533 | + | 6.06435i | −1.44958 | + | 0.425634i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 2.33094 | + | 16.2120i | 0.162800 | + | 1.13230i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 6.34927 | − | 10.9981i | 0.441305 | − | 0.764423i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −0.0804781 | − | 0.559737i | −0.00556679 | − | 0.0387178i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 7.18001 | − | 2.10824i | 0.494292 | − | 0.145137i | −0.0250801 | − | 0.999685i | \(-0.507984\pi\) |
0.519372 | + | 0.854548i | \(0.326166\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 3.03331 | + | 0.890659i | 0.207839 | + | 0.0610270i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 2.96583 | + | 6.49425i | 0.202268 | + | 0.442904i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −20.9453 | − | 13.4607i | −1.42186 | − | 0.913774i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 0.719507 | − | 5.00428i | 0.0486197 | − | 0.338158i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −4.04584 | − | 4.66914i | −0.272152 | − | 0.314081i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −16.3662 | + | 10.5179i | −1.09596 | + | 0.704331i | −0.958190 | − | 0.286133i | \(-0.907630\pi\) |
−0.137770 | + | 0.990464i | \(0.543994\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 2.01457 | − | 2.32494i | 0.134305 | − | 0.154996i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −7.90097 | + | 17.3007i | −0.524406 | + | 1.14829i | 0.443339 | + | 0.896354i | \(0.353794\pi\) |
−0.967744 | + | 0.251934i | \(0.918933\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 4.93124 | 0.325865 | 0.162933 | − | 0.986637i | \(-0.447905\pi\) | ||||
0.162933 | + | 0.986637i | \(0.447905\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 0.658542 | 0.0433289 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −5.24823 | + | 11.4920i | −0.343823 | + | 0.752867i | −0.999998 | − | 0.00174111i | \(-0.999446\pi\) |
0.656176 | + | 0.754608i | \(0.272173\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −20.1168 | + | 23.2160i | −1.31227 | + | 1.51444i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −4.23676 | + | 2.72280i | −0.275207 | + | 0.176865i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 3.80518 | + | 4.39141i | 0.246137 | + | 0.284057i | 0.865352 | − | 0.501164i | \(-0.167095\pi\) |
−0.619216 | + | 0.785221i | \(0.712549\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −1.73209 | + | 12.0470i | −0.111574 | + | 0.776013i | 0.854816 | + | 0.518931i | \(0.173670\pi\) |
−0.966390 | + | 0.257082i | \(0.917239\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −11.4298 | − | 7.34547i | −0.733221 | − | 0.471212i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 6.02595 | + | 13.1950i | 0.384984 | + | 0.842996i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 1.89269 | + | 0.555744i | 0.120429 | + | 0.0353612i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −1.99905 | + | 0.586975i | −0.126685 | + | 0.0371980i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −3.35422 | − | 23.3291i | −0.211716 | − | 1.47252i | −0.767423 | − | 0.641141i | \(-0.778461\pi\) |
0.555707 | − | 0.831378i | \(-0.312448\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 1.45847 | − | 0.281149i | 0.0916933 | − | 0.0176757i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −1.19860 | − | 8.33646i | −0.0750594 | − | 0.522049i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −19.7021 | + | 5.78506i | −1.22898 | + | 0.360862i | −0.830866 | − | 0.556472i | \(-0.812155\pi\) |
−0.398118 | + | 0.917334i | \(0.630337\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 34.0130 | + | 9.98713i | 2.11347 | + | 0.620570i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 6.60692 | + | 14.4671i | 0.408958 | + | 0.895493i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −2.93961 | − | 1.88917i | −0.181264 | − | 0.116491i | 0.446862 | − | 0.894603i | \(-0.352541\pi\) |
−0.628126 | + | 0.778112i | \(0.716178\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 2.92518 | − | 20.3451i | 0.179692 | − | 1.24979i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −0.421102 | − | 0.485977i | −0.0257710 | − | 0.0297413i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 0.114678 | − | 0.0736992i | 0.00699205 | − | 0.00449352i | −0.537140 | − | 0.843493i | \(-0.680495\pi\) |
0.544132 | + | 0.839000i | \(0.316859\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 10.4770 | − | 12.0911i | 0.636432 | − | 0.734481i | −0.342308 | − | 0.939588i | \(-0.611209\pi\) |
0.978740 | + | 0.205107i | \(0.0657541\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −0.954281 | + | 2.08958i | −0.0577557 | + | 0.126467i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 0.359812 | 0.0216975 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 25.2361 | 1.51629 | 0.758147 | − | 0.652084i | \(-0.226105\pi\) | ||||
0.758147 | + | 0.652084i | \(0.226105\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −7.64208 | + | 16.7338i | −0.457520 | + | 1.00183i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −9.10072 | + | 10.5028i | −0.542904 | + | 0.626544i | −0.959215 | − | 0.282678i | \(-0.908777\pi\) |
0.416311 | + | 0.909222i | \(0.363323\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 5.32239 | − | 3.42049i | 0.316383 | − | 0.203327i | −0.372805 | − | 0.927910i | \(-0.621604\pi\) |
0.689188 | + | 0.724583i | \(0.257967\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 1.76097 | + | 2.03227i | 0.104311 | + | 0.120381i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −3.36530 | + | 23.4062i | −0.198647 | + | 1.38162i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 13.2099 | + | 8.48951i | 0.777055 | + | 0.499383i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 0.260658 | + | 0.570761i | 0.0152800 | + | 0.0334586i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 1.36988 | + | 0.402234i | 0.0800294 | + | 0.0234988i | 0.321502 | − | 0.946909i | \(-0.395812\pi\) |
−0.241473 | + | 0.970408i | \(0.577630\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −8.30814 | + | 2.43949i | −0.483719 | + | 0.142033i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −0.147700 | − | 1.02728i | −0.00857044 | − | 0.0596087i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −1.22134 | + | 5.03521i | −0.0706322 | + | 0.291193i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 1.46692 | + | 10.2027i | 0.0845519 | + | 0.588072i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −3.94244 | + | 1.15761i | −0.226487 | + | 0.0665027i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −19.2023 | − | 5.63830i | −1.09952 | − | 0.322848i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 8.39838 | + | 18.3899i | 0.479321 | + | 1.04957i | 0.982650 | + | 0.185472i | \(0.0593813\pi\) |
−0.503328 | + | 0.864095i | \(0.667891\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −7.79577 | − | 5.01004i | −0.443486 | − | 0.285011i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 1.30206 | − | 9.05600i | 0.0738329 | − | 0.513519i | −0.919023 | − | 0.394203i | \(-0.871021\pi\) |
0.992856 | − | 0.119316i | \(-0.0380702\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −12.4699 | − | 14.3910i | −0.704838 | − | 0.813426i | 0.284560 | − | 0.958658i | \(-0.408153\pi\) |
−0.989398 | + | 0.145232i | \(0.953607\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 19.8171 | − | 12.7357i | 1.11657 | − | 0.717575i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −9.87888 | + | 11.4008i | −0.554853 | + | 0.640335i | −0.962007 | − | 0.273025i | \(-0.911976\pi\) |
0.407154 | + | 0.913360i | \(0.366521\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −0.772753 | + | 1.69209i | −0.0432659 | + | 0.0947390i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −9.29084 | −0.518564 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −10.4415 | −0.580980 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −0.521397 | + | 1.14170i | −0.0289219 | + | 0.0633301i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 5.80240 | − | 6.69633i | 0.320873 | − | 0.370308i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −37.3103 | + | 23.9779i | −2.05699 | + | 1.32194i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 6.46311 | + | 7.45883i | 0.355245 | + | 0.409974i | 0.905041 | − | 0.425324i | \(-0.139840\pi\) |
−0.549796 | + | 0.835299i | \(0.685295\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 3.72755 | − | 25.9257i | 0.204269 | − | 1.42072i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −3.10816 | − | 1.99749i | −0.169817 | − | 0.109135i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −3.90314 | − | 8.54669i | −0.212618 | − | 0.465568i | 0.773033 | − | 0.634366i | \(-0.218739\pi\) |
−0.985651 | + | 0.168798i | \(0.946011\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 9.39145 | + | 2.75758i | 0.510074 | + | 0.149771i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −2.06449 | + | 0.606189i | −0.111798 | + | 0.0328270i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −0.589730 | − | 4.10167i | −0.0318425 | − | 0.221469i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −5.11166 | + | 4.87429i | −0.275202 | + | 0.262423i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 1.49296 | + | 10.3838i | 0.0801462 | + | 0.557429i | 0.989844 | + | 0.142158i | \(0.0454041\pi\) |
−0.909698 | + | 0.415271i | \(0.863687\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 29.5251 | − | 8.66936i | 1.58044 | − | 0.464060i | 0.630425 | − | 0.776251i | \(-0.282881\pi\) |
0.950020 | + | 0.312190i | \(0.101063\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 3.47363 | + | 1.01995i | 0.185409 | + | 0.0544409i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −6.26251 | − | 13.7130i | −0.333320 | − | 0.729868i | 0.666559 | − | 0.745452i | \(-0.267767\pi\) |
−0.999879 | + | 0.0155840i | \(0.995039\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 11.1269 | + | 7.15081i | 0.590553 | + | 0.379526i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 1.73049 | − | 12.0358i | 0.0915870 | − | 0.637002i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −0.897049 | − | 1.03525i | −0.0473444 | − | 0.0546384i | 0.731583 | − | 0.681752i | \(-0.238782\pi\) |
−0.778928 | + | 0.627114i | \(0.784236\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −13.1792 | + | 8.46978i | −0.693644 | + | 0.445778i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −4.23661 | + | 4.88931i | −0.222364 | + | 0.256622i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 8.78696 | − | 19.2408i | 0.459931 | − | 1.00711i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 31.6797 | 1.65367 | 0.826834 | − | 0.562447i | \(-0.190140\pi\) | ||||
0.826834 | + | 0.562447i | \(0.190140\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 17.4720 | 0.909558 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 12.3276 | − | 26.9936i | 0.640016 | − | 1.40144i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −13.8466 | + | 15.9798i | −0.716947 | + | 0.827401i | −0.990936 | − | 0.134331i | \(-0.957111\pi\) |
0.273989 | + | 0.961733i | \(0.411657\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 4.75545 | − | 3.05614i | 0.245570 | − | 0.157818i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −4.24931 | − | 4.90396i | −0.218850 | − | 0.252567i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 3.27690 | − | 22.7913i | 0.168323 | − | 1.17071i | −0.714027 | − | 0.700118i | \(-0.753131\pi\) |
0.882350 | − | 0.470594i | \(-0.155960\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 7.78852 | + | 5.00538i | 0.399018 | + | 0.256433i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −4.94585 | − | 10.8299i | −0.252721 | − | 0.553382i | 0.740168 | − | 0.672422i | \(-0.234746\pi\) |
−0.992890 | + | 0.119039i | \(0.962019\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 2.64361 | + | 0.776233i | 0.134731 | + | 0.0395605i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 7.30749 | − | 2.14567i | 0.371461 | − | 0.109071i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −3.28950 | − | 22.8790i | −0.166784 | − | 1.16001i | −0.885477 | − | 0.464683i | \(-0.846168\pi\) |
0.718693 | − | 0.695328i | \(-0.244741\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −1.30590 | − | 27.3945i | −0.0660423 | − | 1.38540i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 0.724573 | + | 5.03952i | 0.0365499 | + | 0.254210i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −20.2172 | + | 5.93630i | −1.01724 | + | 0.298688i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 5.91139 | + | 1.73574i | 0.296684 | + | 0.0871143i | 0.426687 | − | 0.904399i | \(-0.359681\pi\) |
−0.130003 | + | 0.991514i | \(0.541499\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 1.61279 | + | 3.53153i | 0.0807407 | + | 0.176797i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 8.66777 | + | 5.57044i | 0.432848 | + | 0.278174i | 0.738867 | − | 0.673851i | \(-0.235361\pi\) |
−0.306020 | + | 0.952025i | \(0.598997\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 1.06815 | − | 7.42914i | 0.0532083 | − | 0.370072i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −9.68144 | − | 11.1730i | −0.481075 | − | 0.555190i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 2.57716 | − | 1.65624i | 0.127745 | − | 0.0820969i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −0.00533396 | + | 0.00615572i | −0.000263747 | + | 0.000304381i | −0.755881 | − | 0.654709i | \(-0.772791\pi\) |
0.755618 | + | 0.655013i | \(0.227337\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −1.57322 | + | 3.44487i | −0.0776011 | + | 0.169923i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −12.5013 | −0.615149 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −8.71675 | −0.427888 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 5.22089 | − | 11.4322i | 0.255668 | − | 0.559835i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −17.6065 | + | 20.3190i | −0.860133 | + | 0.992647i | 0.139864 | + | 0.990171i | \(0.455334\pi\) |
−0.999997 | + | 0.00247601i | \(0.999212\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −2.78101 | + | 1.78725i | −0.135538 | + | 0.0871051i | −0.606653 | − | 0.794967i | \(-0.707488\pi\) |
0.471115 | + | 0.882072i | \(0.343852\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 21.4596 | + | 24.7657i | 1.04340 | + | 1.20415i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 0.945497 | − | 6.57608i | 0.0458634 | − | 0.318987i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −24.3070 | − | 15.6211i | −1.17630 | − | 0.755960i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 0.0824684 | + | 0.180581i | 0.00398161 | + | 0.00871851i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −11.7525 | − | 3.45085i | −0.566098 | − | 0.166221i | −0.0138544 | − | 0.999904i | \(-0.504410\pi\) |
−0.552244 | + | 0.833683i | \(0.686228\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 2.51713 | − | 0.739096i | 0.120966 | − | 0.0355187i | −0.220689 | − | 0.975344i | \(-0.570831\pi\) |
0.341655 | + | 0.939825i | \(0.389013\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −1.25888 | − | 8.75571i | −0.0603587 | − | 0.419804i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 5.07956 | + | 7.13272i | 0.242988 | + | 0.341204i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −0.869632 | − | 6.04842i | −0.0415053 | − | 0.288676i | −0.999994 | − | 0.00354414i | \(-0.998872\pi\) |
0.958488 | − | 0.285131i | \(-0.0920372\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 14.8473 | − | 4.35956i | 0.707015 | − | 0.207598i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 23.3023 | + | 6.84216i | 1.10712 | + | 0.325081i | 0.783679 | − | 0.621166i | \(-0.213341\pi\) |
0.323445 | + | 0.946247i | \(0.395159\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −1.11761 | − | 2.44724i | −0.0529800 | − | 0.116010i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 2.74518 | + | 1.76422i | 0.129843 | + | 0.0834449i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −5.10853 | + | 35.5306i | −0.241087 | + | 1.67679i | 0.405610 | + | 0.914046i | \(0.367059\pi\) |
−0.646696 | + | 0.762747i | \(0.723850\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 1.33824 | + | 1.54441i | 0.0630153 | + | 0.0727235i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 0.471510 | − | 0.303021i | 0.0221535 | − | 0.0142372i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −6.29383 | + | 7.26346i | −0.295059 | + | 0.340516i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 11.3343 | − | 24.8186i | 0.530195 | − | 1.16097i | −0.435238 | − | 0.900315i | \(-0.643336\pi\) |
0.965433 | − | 0.260650i | \(-0.0839369\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −19.1631 | −0.894457 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −3.54919 | −0.165302 | −0.0826510 | − | 0.996579i | \(-0.526339\pi\) | ||||
−0.0826510 | + | 0.996579i | \(0.526339\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 10.1750 | − | 22.2802i | 0.472873 | − | 1.03545i | −0.511489 | − | 0.859290i | \(-0.670906\pi\) |
0.984362 | − | 0.176158i | \(-0.0563669\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 6.70033 | − | 7.73259i | 0.310720 | − | 0.358590i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 26.7657 | − | 17.2013i | 1.23857 | − | 0.795980i | 0.253365 | − | 0.967371i | \(-0.418463\pi\) |
0.985203 | + | 0.171391i | \(0.0548262\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −3.49316 | − | 4.03132i | −0.161299 | − | 0.186149i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −1.86639 | + | 12.9810i | −0.0859987 | + | 0.598134i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 0.749368 | + | 0.481589i | 0.0344560 | + | 0.0221435i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 0.881193 | + | 1.92954i | 0.0404319 | + | 0.0885335i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −21.0381 | − | 6.17735i | −0.963270 | − | 0.282842i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 14.9643 | − | 4.39392i | 0.683737 | − | 0.200763i | 0.0786258 | − | 0.996904i | \(-0.474947\pi\) |
0.605111 | + | 0.796141i | \(0.293129\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 1.52081 | + | 10.5775i | 0.0693431 | + | 0.482292i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −9.06366 | + | 4.67304i | −0.412411 | + | 0.212631i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 0.373603 | + | 2.59847i | 0.0169645 | + | 0.117990i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −32.1575 | + | 9.44229i | −1.45719 | + | 0.427871i | −0.911914 | − | 0.410382i | \(-0.865395\pi\) |
−0.545281 | + | 0.838253i | \(0.683577\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 11.3332 | + | 3.32774i | 0.512507 | + | 0.150486i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 6.89109 | + | 15.0894i | 0.310991 | + | 0.680974i | 0.998999 | − | 0.0447281i | \(-0.0142421\pi\) |
−0.688009 | + | 0.725703i | \(0.741515\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 28.8948 | + | 18.5696i | 1.30136 | + | 0.836332i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 0.289718 | − | 2.01503i | 0.0130219 | − | 0.0905690i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 12.5051 | + | 14.4317i | 0.560932 | + | 0.647350i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −13.9492 | + | 8.96462i | −0.624453 | + | 0.401311i | −0.814252 | − | 0.580512i | \(-0.802853\pi\) |
0.189799 | + | 0.981823i | \(0.439216\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 2.47924 | − | 2.86120i | 0.110764 | − | 0.127829i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −11.2832 | + | 24.7067i | −0.503092 | + | 1.10162i | 0.472360 | + | 0.881406i | \(0.343402\pi\) |
−0.975452 | + | 0.220213i | \(0.929325\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −17.1908 | −0.764980 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 7.02052 | 0.311792 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 3.95320 | − | 8.65630i | 0.175223 | − | 0.383684i | −0.801561 | − | 0.597913i | \(-0.795997\pi\) |
0.976783 | + | 0.214229i | \(0.0687240\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 19.9986 | − | 23.0796i | 0.884684 | − | 1.02098i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 5.14720 | − | 3.30791i | 0.227255 | − | 0.146048i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −25.3894 | − | 29.3010i | −1.11879 | − | 1.29115i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −0.545461 | + | 3.79377i | −0.0239894 | + | 0.166850i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −0.490221 | − | 0.315046i | −0.0215183 | − | 0.0138290i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −4.14423 | − | 9.07459i | −0.181562 | − | 0.397565i | 0.796865 | − | 0.604157i | \(-0.206490\pi\) |
−0.978427 | + | 0.206592i | \(0.933763\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 5.15459 | + | 1.51352i | 0.225394 | + | 0.0661818i | 0.392480 | − | 0.919761i | \(-0.371617\pi\) |
−0.167085 | + | 0.985942i | \(0.553436\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −2.37021 | + | 0.695956i | −0.103444 | + | 0.0303740i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 5.65400 | + | 39.3244i | 0.246292 | + | 1.71300i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −18.0782 | + | 14.2189i | −0.786011 | + | 0.618213i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 1.31454 | + | 9.14286i | 0.0570464 | + | 0.396766i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −6.83971 | + | 2.00832i | −0.296261 | + | 0.0869900i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −37.2966 | − | 10.9513i | −1.61247 | − | 0.473464i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 6.15690 | + | 13.4817i | 0.265690 | + | 0.581779i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 1.52256 | + | 0.978490i | 0.0655813 | + | 0.0421465i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −4.66835 | + | 32.4691i | −0.200708 | + | 1.39596i | 0.601482 | + | 0.798887i | \(0.294577\pi\) |
−0.802190 | + | 0.597069i | \(0.796332\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 6.35048 | + | 7.32884i | 0.272525 | + | 0.314511i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 31.1859 | − | 20.0419i | 1.33586 | − | 0.858502i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −27.2066 | + | 31.3981i | −1.16327 | + | 1.34249i | −0.234375 | + | 0.972146i | \(0.575304\pi\) |
−0.928896 | + | 0.370340i | \(0.879241\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −8.86862 | + | 19.4196i | −0.378503 | + | 0.828807i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −10.9666 | −0.467193 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −30.4209 | −1.29363 | ||||||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −6.05164 | + | 13.2513i | −0.256878 | + | 0.562484i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 21.5316 | − | 24.8488i | 0.912323 | − | 1.05288i | −0.0860749 | − | 0.996289i | \(-0.527432\pi\) |
0.998398 | − | 0.0565879i | \(-0.0180221\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −2.61400 | + | 1.67992i | −0.110560 | + | 0.0710528i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −0.688142 | − | 0.794159i | −0.0290534 | − | 0.0335294i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −1.21760 | + | 8.46857i | −0.0513156 | + | 0.356908i | 0.947944 | + | 0.318437i | \(0.103158\pi\) |
−0.999260 | + | 0.0384709i | \(0.987751\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 34.4500 | + | 22.1397i | 1.44932 | + | 0.931424i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −8.86679 | − | 19.4156i | −0.372370 | − | 0.815377i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 23.1716 | + | 6.80379i | 0.971403 | + | 0.285230i | 0.728671 | − | 0.684864i | \(-0.240138\pi\) |
0.242732 | + | 0.970093i | \(0.421956\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −19.8105 | + | 5.81688i | −0.829043 | + | 0.243429i | −0.668606 | − | 0.743617i | \(-0.733109\pi\) |
−0.160437 | + | 0.987046i | \(0.551290\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 0.827468 | + | 5.75517i | 0.0345680 | + | 0.240426i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −4.95218 | + | 2.55324i | −0.206520 | + | 0.106477i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 0.894365 | + | 6.22044i | 0.0372329 | + | 0.258960i | 0.999933 | − | 0.0116117i | \(-0.00369621\pi\) |
−0.962700 | + | 0.270572i | \(0.912787\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 11.3340 | − | 3.32796i | 0.471024 | − | 0.138305i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −12.0751 | − | 3.54556i | −0.500958 | − | 0.147095i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −1.06534 | − | 2.33277i | −0.0441220 | − | 0.0966137i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 5.97396 | + | 3.83923i | 0.246993 | + | 0.158733i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −4.58353 | + | 31.8791i | −0.189182 | + | 1.31579i | 0.644948 | + | 0.764226i | \(0.276879\pi\) |
−0.834131 | + | 0.551567i | \(0.814030\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −8.30679 | − | 9.58655i | −0.342275 | − | 0.395007i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −3.19166 | + | 2.05116i | −0.131287 | + | 0.0843733i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 4.06316 | − | 4.68914i | 0.166854 | − | 0.192560i | −0.666165 | − | 0.745805i | \(-0.732065\pi\) |
0.833019 | + | 0.553245i | \(0.186611\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 21.1335 | − | 46.2760i | 0.866390 | − | 1.89713i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −9.37029 | −0.383500 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 2.67037 | 0.109108 | 0.0545542 | − | 0.998511i | \(-0.482626\pi\) | ||||
0.0545542 | + | 0.998511i | \(0.482626\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 0.344096 | − | 0.753465i | 0.0140360 | − | 0.0307345i | −0.902484 | − | 0.430723i | \(-0.858259\pi\) |
0.916520 | + | 0.399988i | \(0.130986\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −2.58100 | + | 2.97863i | −0.105106 | + | 0.121299i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −22.7703 | + | 14.6336i | −0.925744 | + | 0.594939i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −11.2908 | − | 13.0302i | −0.458278 | − | 0.528881i | 0.478836 | − | 0.877904i | \(-0.341059\pi\) |
−0.937114 | + | 0.349023i | \(0.886513\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 1.81751 | − | 12.6411i | 0.0736494 | − | 0.512243i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −11.2474 | − | 7.22825i | −0.455020 | − | 0.292424i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 8.69746 | + | 19.0448i | 0.351287 | + | 0.769212i | 0.999967 | + | 0.00815017i | \(0.00259431\pi\) |
−0.648680 | + | 0.761062i | \(0.724678\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −9.32402 | − | 2.73778i | −0.375981 | − | 0.110398i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 13.8567 | − | 4.06871i | 0.557852 | − | 0.163800i | 0.00936021 | − | 0.999956i | \(-0.497021\pi\) |
0.548491 | + | 0.836156i | \(0.315202\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −0.154656 | − | 1.07565i | −0.00621614 | − | 0.0432342i | 0.986477 | − | 0.163898i | \(-0.0524068\pi\) |
−0.992693 | + | 0.120664i | \(0.961498\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 9.32244 | + | 13.0906i | 0.374097 | + | 0.525307i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −0.552781 | − | 3.84468i | −0.0221467 | − | 0.154034i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 28.2658 | − | 8.29960i | 1.13063 | − | 0.331984i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 0.321921 | + | 0.0945247i | 0.0128563 | + | 0.00377495i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −23.4981 | − | 51.4536i | −0.936929 | − | 2.05159i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −8.55998 | − | 5.50117i | −0.340768 | − | 0.218998i | 0.359052 | − | 0.933317i | \(-0.383100\pi\) |
−0.699820 | + | 0.714319i | \(0.746736\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −0.631850 | + | 4.39461i | −0.0251138 | + | 0.174670i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 25.3658 | + | 29.2737i | 1.00661 | + | 1.16169i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −5.31111 | + | 3.41324i | −0.210434 | + | 0.135238i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 9.23971 | − | 10.6632i | 0.365517 | − | 0.421829i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −12.0680 | + | 26.4251i | −0.476656 | + | 1.04373i | 0.506714 | + | 0.862114i | \(0.330860\pi\) |
−0.983370 | + | 0.181616i | \(0.941867\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 38.2701 | 1.50922 | 0.754612 | − | 0.656171i | \(-0.227825\pi\) | ||||
0.754612 | + | 0.656171i | \(0.227825\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −4.23588 | −0.166788 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 2.07947 | − | 4.55340i | 0.0817524 | − | 0.179013i | −0.864341 | − | 0.502905i | \(-0.832264\pi\) |
0.946094 | + | 0.323893i | \(0.104992\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −0.707483 | + | 0.816478i | −0.0277711 | + | 0.0320496i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 12.4270 | − | 7.98636i | 0.487053 | − | 0.313010i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 0.714220 | + | 0.824254i | 0.0279496 | + | 0.0322555i | 0.769552 | − | 0.638584i | \(-0.220479\pi\) |
−0.741603 | + | 0.670839i | \(0.765934\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −3.03148 | + | 21.0844i | −0.118450 | + | 0.823835i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −18.9822 | − | 12.1991i | −0.740566 | − | 0.475933i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −10.2656 | − | 22.4786i | −0.399893 | − | 0.875643i | −0.997281 | − | 0.0736906i | \(-0.976522\pi\) |
0.597389 | − | 0.801952i | \(-0.296205\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 32.2253 | + | 9.46220i | 1.25342 | + | 0.368037i | 0.840041 | − | 0.542523i | \(-0.182531\pi\) |
0.413378 | + | 0.910560i | \(0.364349\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 3.51708 | − | 1.03271i | 0.136592 | − | 0.0401070i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 2.31163 | + | 16.0778i | 0.0896413 | + | 0.623469i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −1.37158 | − | 28.7722i | −0.0531077 | − | 1.11406i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −1.64267 | − | 11.4250i | −0.0635094 | − | 0.441718i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −2.39584 | + | 0.703481i | −0.0924902 | + | 0.0271576i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 8.83233 | + | 2.59341i | 0.340461 | + | 0.0999685i | 0.447494 | − | 0.894287i | \(-0.352317\pi\) |
−0.107032 | + | 0.994256i | \(0.534135\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 1.61724 | + | 3.54126i | 0.0622476 | + | 0.136303i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −10.1132 | − | 6.49937i | −0.388682 | − | 0.249791i | 0.331676 | − | 0.943394i | \(-0.392386\pi\) |
−0.720358 | + | 0.693603i | \(0.756022\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −0.539391 | + | 3.75155i | −0.0206999 | + | 0.143971i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −7.38971 | − | 8.52818i | −0.283174 | − | 0.326801i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 27.8475 | − | 17.8965i | 1.06555 | − | 0.684790i | 0.114377 | − | 0.993437i | \(-0.463513\pi\) |
0.951176 | + | 0.308648i | \(0.0998764\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −10.3759 | + | 11.9745i | −0.396445 | + | 0.457521i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −1.21540 | + | 2.66135i | −0.0463704 | + | 0.101537i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 8.94577 | 0.340807 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −28.0797 | −1.06820 | −0.534102 | − | 0.845420i | \(-0.679350\pi\) | ||||
−0.534102 | + | 0.845420i | \(0.679350\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 1.22096 | − | 2.67352i | 0.0463803 | − | 0.101559i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 34.4337 | − | 39.7386i | 1.30614 | − | 1.50737i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 31.7429 | − | 20.3999i | 1.20235 | − | 0.772703i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −4.90863 | − | 5.66486i | −0.185661 | − | 0.214265i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 0.547001 | − | 3.80448i | 0.0206600 | − | 0.143693i | −0.976881 | − | 0.213786i | \(-0.931420\pi\) |
0.997540 | + | 0.0700929i | \(0.0223296\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 15.1934 | + | 9.76421i | 0.573030 | + | 0.368264i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −7.57133 | − | 16.5789i | −0.285153 | − | 0.624397i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −23.8139 | − | 6.99239i | −0.895614 | − | 0.262976i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 4.44545 | − | 1.30530i | 0.166952 | − | 0.0490216i | −0.197188 | − | 0.980366i | \(-0.563181\pi\) |
0.364140 | + | 0.931344i | \(0.381363\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 3.19884 | + | 22.2484i | 0.119966 | + | 0.834380i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 24.1125 | − | 22.9928i | 0.903021 | − | 0.861088i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0.118203 | + | 0.822118i | 0.00442053 | + | 0.0307455i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −3.30787 | + | 0.971278i | −0.123535 | + | 0.0362731i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −29.6534 | − | 8.70702i | −1.10588 | − | 0.324717i | −0.322697 | − | 0.946502i | \(-0.604589\pi\) |
−0.783188 | + | 0.621785i | \(0.786408\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −23.2530 | − | 50.9170i | −0.865987 | − | 1.89625i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −6.07475 | − | 3.90400i | −0.225922 | − | 0.145191i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 0.993048 | − | 6.90680i | 0.0368809 | − | 0.256512i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 13.4040 | + | 15.4691i | 0.497127 | + | 0.573715i | 0.947756 | − | 0.318996i | \(-0.103346\pi\) |
−0.450629 | + | 0.892711i | \(0.648800\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −8.24958 | + | 5.30168i | −0.305540 | + | 0.196359i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 10.7709 | − | 12.4303i | 0.398376 | − | 0.459750i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −11.1621 | + | 24.4416i | −0.412281 | + | 0.902769i | 0.583595 | + | 0.812045i | \(0.301646\pi\) |
−0.995876 | + | 0.0907246i | \(0.971082\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −8.60644 | −0.317453 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −0.460978 | −0.0169804 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −13.6315 | + | 29.8488i | −0.501443 | + | 1.09801i | 0.474555 | + | 0.880226i | \(0.342609\pi\) |
−0.975998 | + | 0.217781i | \(0.930118\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −0.766421 | + | 0.884497i | −0.0281552 | + | 0.0324928i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 15.5877 | − | 10.0176i | 0.571856 | − | 0.367510i | −0.222527 | − | 0.974927i | \(-0.571431\pi\) |
0.794383 | + | 0.607417i | \(0.207794\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 8.94058 | + | 10.3180i | 0.327557 | + | 0.378021i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −1.32333 | + | 9.20395i | −0.0484180 | + | 0.336755i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −47.2114 | − | 30.3409i | −1.72507 | − | 1.10863i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −8.47684 | − | 18.5617i | −0.309324 | − | 0.677325i | 0.689576 | − | 0.724213i | \(-0.257797\pi\) |
−0.998900 | + | 0.0468879i | \(0.985070\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 13.4172 | + | 3.93966i | 0.488952 | + | 0.143569i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 2.24997 | − | 0.660652i | 0.0818849 | − | 0.0240436i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −0.787269 | − | 5.47557i | −0.0286138 | − | 0.199013i | 0.970500 | − | 0.241100i | \(-0.0775083\pi\) |
−0.999114 | + | 0.0420873i | \(0.986599\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −0.207734 | + | 0.856421i | −0.00754028 | + | 0.0310861i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −2.21650 | − | 15.4161i | −0.0803480 | − | 0.558832i | −0.989739 | − | 0.142889i | \(-0.954361\pi\) |
0.909391 | − | 0.415943i | \(-0.136548\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 51.3530 | − | 15.0786i | 1.85910 | − | 0.545882i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −36.0663 | − | 10.5900i | −1.30398 | − | 0.382883i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −1.56552 | − | 3.42802i | −0.0565278 | − | 0.123779i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −8.21687 | − | 5.28066i | −0.296308 | − | 0.190425i | 0.384037 | − | 0.923318i | \(-0.374534\pi\) |
−0.680345 | + | 0.732892i | \(0.738170\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 1.73381 | − | 12.0589i | 0.0624417 | − | 0.434292i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 10.5413 | + | 12.1653i | 0.379143 | + | 0.437555i | 0.912962 | − | 0.408044i | \(-0.133789\pi\) |
−0.533819 | + | 0.845599i | \(0.679244\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 6.78984 | − | 4.36356i | 0.243898 | − | 0.156744i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −13.7731 | + | 15.8951i | −0.494109 | + | 0.570232i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −5.00473 | + | 10.9588i | −0.179313 | + | 0.392641i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 1.65025 | 0.0590508 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −20.1268 | −0.719274 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −22.7932 | + | 49.9103i | −0.813526 | + | 1.78137i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −7.40072 | + | 8.54089i | −0.263807 | + | 0.304450i | −0.872164 | − | 0.489214i | \(-0.837284\pi\) |
0.608356 | + | 0.793664i | \(0.291829\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 1.74409 | − | 1.12086i | 0.0620914 | − | 0.0399037i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 38.7173 | + | 44.6821i | 1.37663 | + | 1.58871i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 1.23958 | − | 8.62150i | 0.0440189 | − | 0.306158i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 10.2591 | + | 6.59313i | 0.363853 | + | 0.233834i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −20.5222 | − | 44.9373i | −0.726934 | − | 1.59176i | −0.803925 | − | 0.594731i | \(-0.797259\pi\) |
0.0769914 | − | 0.997032i | \(-0.475469\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 67.9032 | + | 19.9382i | 2.40224 | + | 0.705362i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −2.75369 | + | 0.808556i | −0.0972968 | + | 0.0285689i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −0.375588 | − | 2.61227i | −0.0132542 | − | 0.0921850i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −41.8928 | + | 8.07566i | −1.47653 | + | 0.284630i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 0.0115102 | + | 0.0800555i | 0.000405180 | + | 0.00281809i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 52.8987 | − | 15.5325i | 1.85982 | − | 0.546092i | 0.860491 | − | 0.509466i | \(-0.170157\pi\) |
0.999329 | − | 0.0366265i | \(-0.0116612\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −48.0130 | − | 14.0979i | −1.68596 | − | 0.495044i | −0.708422 | − | 0.705789i | \(-0.750593\pi\) |
−0.977541 | + | 0.210745i | \(0.932411\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 3.94321 | + | 8.63443i | 0.138294 | + | 0.302823i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 41.5730 | + | 26.7173i | 1.45624 | + | 0.935868i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −0.747363 | + | 5.19802i | −0.0261469 | + | 0.181856i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 6.71395 | + | 7.74831i | 0.234604 | + | 0.270748i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −16.0803 | + | 10.3342i | −0.561207 | + | 0.360666i | −0.790283 | − | 0.612743i | \(-0.790066\pi\) |
0.229075 | + | 0.973409i | \(0.426430\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 0.523534 | − | 0.604191i | 0.0182493 | − | 0.0210608i | −0.746552 | − | 0.665328i | \(-0.768292\pi\) |
0.764801 | + | 0.644267i | \(0.222837\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −0.0886826 | + | 0.194188i | −0.00308753 | + | 0.00676075i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 26.1707 | 0.910046 | 0.455023 | − | 0.890480i | \(-0.349631\pi\) | ||||
0.455023 | + | 0.890480i | \(0.349631\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −23.0541 | −0.800703 | −0.400352 | − | 0.916362i | \(-0.631112\pi\) | ||||
−0.400352 | + | 0.916362i | \(0.631112\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −6.21993 | + | 13.6198i | −0.215767 | + | 0.472464i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 21.8842 | − | 25.2557i | 0.758243 | − | 0.875059i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 13.3251 | − | 8.56350i | 0.461133 | − | 0.296352i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −15.2453 | − | 17.5941i | −0.526956 | − | 0.608140i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 7.65382 | − | 53.2335i | 0.264239 | − | 1.83782i | −0.235776 | − | 0.971807i | \(-0.575763\pi\) |
0.500015 | − | 0.866017i | \(-0.333328\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 5.95162 | + | 3.82488i | 0.205228 | + | 0.131892i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −3.42523 | − | 7.50021i | −0.117971 | − | 0.258321i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 28.1827 | + | 8.27519i | 0.969515 | + | 0.284675i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −37.4953 | + | 11.0096i | −1.28835 | + | 0.378294i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 0.534209 | + | 3.71550i | 0.0183340 | + | 0.127516i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −23.7173 | + | 41.0829i | −0.813020 | + | 1.40830i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 4.10661 | + | 28.5621i | 0.140608 | + | 0.977947i | 0.930915 | + | 0.365236i | \(0.119012\pi\) |
−0.790307 | + | 0.612711i | \(0.790079\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 11.5154 | − | 3.38124i | 0.393820 | − | 0.115636i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 4.68505 | + | 1.37565i | 0.160038 | + | 0.0469914i | 0.360770 | − | 0.932655i | \(-0.382514\pi\) |
−0.200732 | + | 0.979646i | \(0.564332\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −9.88345 | − | 21.6417i | −0.337219 | − | 0.738406i | 0.662726 | − | 0.748862i | \(-0.269399\pi\) |
−0.999945 | + | 0.0104552i | \(0.996672\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −11.8027 | − | 7.58513i | −0.402235 | − | 0.258501i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 4.32312 | − | 30.0680i | 0.147161 | − | 1.02353i | −0.773677 | − | 0.633580i | \(-0.781585\pi\) |
0.920838 | − | 0.389946i | \(-0.127506\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −1.59656 | − | 1.84253i | −0.0542847 | − | 0.0626479i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −7.83757 | + | 5.03690i | −0.266178 | + | 0.171062i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −1.72160 | + | 1.98683i | −0.0584013 | + | 0.0673987i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 0.667995 | − | 1.46271i | 0.0226341 | − | 0.0495619i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 2.80042 | 0.0947799 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 34.1452 | 1.15432 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −5.34897 | + | 11.7126i | −0.180622 | + | 0.395506i | −0.978187 | − | 0.207726i | \(-0.933394\pi\) |
0.797565 | + | 0.603233i | \(0.206121\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −0.554717 | + | 0.640177i | −0.0187101 | + | 0.0215926i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 19.9494 | − | 12.8207i | 0.672114 | − | 0.431941i | −0.159573 | − | 0.987186i | \(-0.551012\pi\) |
0.831687 | + | 0.555245i | \(0.187375\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −11.6711 | − | 13.4692i | −0.392765 | − | 0.453275i | 0.524584 | − | 0.851359i | \(-0.324221\pi\) |
−0.917349 | + | 0.398084i | \(0.869675\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 0.731127 | − | 5.08510i | 0.0245766 | − | 0.170934i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 27.8497 | + | 17.8979i | 0.935101 | + | 0.600953i | 0.917002 | − | 0.398883i | \(-0.130602\pi\) |
0.0180991 | + | 0.999836i | \(0.494239\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 23.2314 | + | 50.8696i | 0.779156 | + | 1.70611i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −1.76985 | − | 0.519676i | −0.0592923 | − | 0.0174098i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −21.6805 | + | 6.36596i | −0.725509 | + | 0.213029i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 8.82474 | + | 61.3774i | 0.294978 | + | 2.05162i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −2.41644 | − | 1.90017i | −0.0806825 | − | 0.0634450i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 5.93835 | + | 41.3021i | 0.198055 | + | 1.37750i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −45.4343 | + | 13.3407i | −1.51363 | + | 0.444443i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −5.86785 | − | 1.72296i | −0.195270 | − | 0.0573364i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 16.8543 | + | 36.9059i | 0.560257 | + | 1.22679i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −45.4402 | − | 29.2027i | −1.50882 | − | 0.969658i | −0.993643 | − | 0.112573i | \(-0.964091\pi\) |
−0.515175 | − | 0.857085i | \(-0.672273\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −2.60981 | + | 18.1516i | −0.0865619 | + | 0.602051i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −27.0192 | − | 31.1818i | −0.895186 | − | 1.03310i | −0.999257 | − | 0.0385300i | \(-0.987732\pi\) |
0.104071 | − | 0.994570i | \(-0.466813\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −0.914926 | + | 0.587987i | −0.0302796 | + | 0.0194595i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 7.77572 | − | 8.97366i | 0.257057 | − | 0.296660i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −12.7755 | + | 27.9745i | −0.421885 | + | 0.923800i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −41.8698 | −1.38116 | −0.690579 | − | 0.723257i | \(-0.742644\pi\) | ||||
−0.690579 | + | 0.723257i | \(0.742644\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −11.9948 | −0.395243 | ||||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −2.39135 | + | 5.23633i | −0.0787124 | + | 0.172356i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −7.52533 | + | 8.68469i | −0.247431 | + | 0.285551i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −34.7932 | + | 22.3602i | −1.14276 | + | 0.734405i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 2.16403 | + | 2.49742i | 0.0709994 | + | 0.0819377i | 0.790138 | − | 0.612929i | \(-0.210009\pi\) |
−0.719139 | + | 0.694867i | \(0.755463\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −1.51849 | + | 10.5613i | −0.0497664 | + | 0.346133i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 4.56654 | + | 2.93474i | 0.149502 | + | 0.0960790i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −1.82635 | − | 3.99914i | −0.0597280 | − | 0.130786i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −11.0872 | − | 3.25548i | −0.362202 | − | 0.106352i | 0.0955678 | − | 0.995423i | \(-0.469533\pi\) |
−0.457770 | + | 0.889071i | \(0.651352\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 10.8401 | − | 3.18295i | 0.353755 | − | 0.103872i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 1.57545 | + | 10.9575i | 0.0513582 | + | 0.357204i | 0.999254 | + | 0.0386232i | \(0.0122972\pi\) |
−0.947896 | + | 0.318581i | \(0.896794\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −29.3777 | − | 11.7599i | −0.956670 | − | 0.382955i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 4.24251 | + | 29.5073i | 0.138009 | + | 0.959872i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 46.9658 | − | 13.7904i | 1.52618 | − | 0.448128i | 0.592304 | − | 0.805715i | \(-0.298218\pi\) |
0.933880 | + | 0.357587i | \(0.116400\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 8.83311 | + | 2.59363i | 0.286735 | + | 0.0841929i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −3.71810 | − | 8.14151i | −0.120568 | − | 0.264007i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 5.14369 | + | 3.30565i | 0.166620 | + | 0.107080i | 0.621293 | − | 0.783578i | \(-0.286607\pi\) |
−0.454673 | + | 0.890658i | \(0.650244\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −3.46197 | + | 24.0785i | −0.112027 | + | 0.779163i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −0.722750 | − | 0.834098i | −0.0233632 | − | 0.0269626i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −19.2442 | + | 12.3675i | −0.621426 | + | 0.399366i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −11.3059 | + | 13.0477i | −0.364705 | + | 0.420892i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −17.2255 | + | 37.7186i | −0.555084 | + | 1.21547i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 49.4211 | 1.59092 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −8.52591 | −0.274175 | −0.137087 | − | 0.990559i | \(-0.543774\pi\) | ||||
−0.137087 | + | 0.990559i | \(0.543774\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 2.57350 | − | 5.63519i | 0.0826729 | − | 0.181028i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −17.0305 | + | 19.6542i | −0.546533 | + | 0.630733i | −0.960072 | − | 0.279754i | \(-0.909747\pi\) |
0.413539 | + | 0.910487i | \(0.364293\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 63.8638 | − | 41.0428i | 2.04738 | − | 1.31577i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −0.487658 | − | 0.562788i | −0.0156176 | − | 0.0180236i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 1.18343 | − | 8.23091i | 0.0378612 | − | 0.263330i | −0.962095 | − | 0.272715i | \(-0.912078\pi\) |
0.999956 | + | 0.00938509i | \(0.00298741\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −0.282385 | − | 0.181478i | −0.00902506 | − | 0.00580005i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −16.4277 | − | 35.9716i | −0.524495 | − | 1.14848i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 14.6122 | + | 4.29054i | 0.466058 | + | 0.136847i | 0.506326 | − | 0.862342i | \(-0.331003\pi\) |
−0.0402686 | + | 0.999189i | \(0.512821\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −15.2301 | + | 4.47197i | −0.485272 | + | 0.142489i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −3.74484 | − | 26.0459i | −0.119199 | − | 0.829051i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −13.7311 | − | 1.31068i | −0.436623 | − | 0.0416774i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −3.52650 | − | 24.5274i | −0.112023 | − | 0.779138i | −0.965947 | − | 0.258740i | \(-0.916693\pi\) |
0.853924 | − | 0.520398i | \(-0.174216\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −5.61843 | + | 1.64972i | −0.178296 | + | 0.0523523i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −37.6155 | − | 11.0449i | −1.19249 | − | 0.350147i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −18.9090 | − | 41.4049i | −0.598854 | − | 1.31131i | −0.929942 | − | 0.367707i | \(-0.880143\pi\) |
0.331088 | − | 0.943600i | \(-0.392584\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 27.8843 | + | 17.9201i | 0.882219 | + | 0.566968i |
(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 | 184.2.i.b.49.2 | ✓ | 30 | |
4.3 | odd | 2 | 368.2.m.e.49.2 | 30 | |||
23.8 | even | 11 | inner | 184.2.i.b.169.2 | yes | 30 | |
23.10 | odd | 22 | 4232.2.a.ba.1.7 | 15 | |||
23.13 | even | 11 | 4232.2.a.bb.1.7 | 15 | |||
92.31 | odd | 22 | 368.2.m.e.353.2 | 30 | |||
92.59 | odd | 22 | 8464.2.a.cg.1.9 | 15 | |||
92.79 | even | 22 | 8464.2.a.ch.1.9 | 15 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
184.2.i.b.49.2 | ✓ | 30 | 1.1 | even | 1 | trivial | |
184.2.i.b.169.2 | yes | 30 | 23.8 | even | 11 | inner | |
368.2.m.e.49.2 | 30 | 4.3 | odd | 2 | |||
368.2.m.e.353.2 | 30 | 92.31 | odd | 22 | |||
4232.2.a.ba.1.7 | 15 | 23.10 | odd | 22 | |||
4232.2.a.bb.1.7 | 15 | 23.13 | even | 11 | |||
8464.2.a.cg.1.9 | 15 | 92.59 | odd | 22 | |||
8464.2.a.ch.1.9 | 15 | 92.79 | even | 22 |