Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1386,2,Mod(701,1386)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1386, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 0, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1386.701");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1386 = 2 \cdot 3^{2} \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1386.bu (of order \(10\), degree \(4\), 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: | \(11.0672657201\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 701.2 | ||
Character | \(\chi\) | \(=\) | 1386.701 |
Dual form | 1386.2.bu.b.953.2 |
$q$-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 \(\left(\mathbb{Z}/1386\mathbb{Z}\right)^\times\).
\(n\) | \(155\) | \(199\) | \(1135\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(e\left(\frac{3}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.809017 | − | 0.587785i | 0.572061 | − | 0.415627i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.309017 | − | 0.951057i | 0.154508 | − | 0.475528i | ||||
\(5\) | −1.25194 | + | 1.72315i | −0.559885 | + | 0.770616i | −0.991312 | − | 0.131532i | \(-0.958010\pi\) |
0.431427 | + | 0.902148i | \(0.358010\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.951057 | − | 0.309017i | −0.359466 | − | 0.116797i | ||||
\(8\) | −0.309017 | − | 0.951057i | −0.109254 | − | 0.336249i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 2.12993i | 0.673543i | ||||||||
\(11\) | 2.72584 | − | 1.88940i | 0.821871 | − | 0.569674i | ||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.138223 | + | 0.190247i | 0.0383361 | + | 0.0527651i | 0.827755 | − | 0.561090i | \(-0.189618\pi\) |
−0.789419 | + | 0.613855i | \(0.789618\pi\) | |||||||
\(14\) | −0.951057 | + | 0.309017i | −0.254181 | + | 0.0825883i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.809017 | − | 0.587785i | −0.202254 | − | 0.146946i | ||||
\(17\) | 3.83995 | + | 2.78988i | 0.931324 | + | 0.676646i | 0.946317 | − | 0.323241i | \(-0.104773\pi\) |
−0.0149930 | + | 0.999888i | \(0.504773\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 2.37089 | − | 0.770347i | 0.543918 | − | 0.176730i | −0.0241542 | − | 0.999708i | \(-0.507689\pi\) |
0.568073 | + | 0.822978i | \(0.307689\pi\) | |||||||
\(20\) | 1.25194 | + | 1.72315i | 0.279943 | + | 0.385308i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 1.09469 | − | 3.13076i | 0.233389 | − | 0.667480i | ||||
\(23\) | 7.44695i | 1.55280i | 0.630243 | + | 0.776398i | \(0.282955\pi\) | ||||
−0.630243 | + | 0.776398i | \(0.717045\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 0.143197 | + | 0.440716i | 0.0286395 | + | 0.0881432i | ||||
\(26\) | 0.223649 | + | 0.0726680i | 0.0438612 | + | 0.0142514i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −0.587785 | + | 0.809017i | −0.111081 | + | 0.152890i | ||||
\(29\) | 1.54459 | − | 4.75376i | 0.286823 | − | 0.882751i | −0.699023 | − | 0.715099i | \(-0.746382\pi\) |
0.985846 | − | 0.167652i | \(-0.0536184\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 0.902963 | − | 0.656041i | 0.162177 | − | 0.117828i | −0.503737 | − | 0.863857i | \(-0.668042\pi\) |
0.665914 | + | 0.746029i | \(0.268042\pi\) | |||||||
\(32\) | −1.00000 | −0.176777 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 4.74643 | 0.814007 | ||||||||
\(35\) | 1.72315 | − | 1.25194i | 0.291265 | − | 0.211617i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 3.09832 | − | 9.53566i | 0.509361 | − | 1.56765i | −0.283952 | − | 0.958839i | \(-0.591646\pi\) |
0.793313 | − | 0.608814i | \(-0.208354\pi\) | |||||||
\(38\) | 1.46529 | − | 2.01680i | 0.237701 | − | 0.327167i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 2.02568 | + | 0.658185i | 0.320289 | + | 0.104068i | ||||
\(41\) | 0.856678 | + | 2.63658i | 0.133791 | + | 0.411765i | 0.995400 | − | 0.0958068i | \(-0.0305431\pi\) |
−0.861609 | + | 0.507572i | \(0.830543\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | − | 3.37411i | − | 0.514546i | −0.966339 | − | 0.257273i | \(-0.917176\pi\) | ||
0.966339 | − | 0.257273i | \(-0.0828240\pi\) | |||||||
\(44\) | −0.954592 | − | 3.17628i | −0.143910 | − | 0.478842i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 4.37721 | + | 6.02471i | 0.645384 | + | 0.888295i | ||||
\(47\) | 11.7182 | − | 3.80746i | 1.70927 | − | 0.555375i | 0.719057 | − | 0.694951i | \(-0.244574\pi\) |
0.990211 | + | 0.139577i | \(0.0445742\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0.809017 | + | 0.587785i | 0.115574 | + | 0.0839693i | ||||
\(50\) | 0.374896 | + | 0.272378i | 0.0530182 | + | 0.0385200i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 0.223649 | − | 0.0726680i | 0.0310146 | − | 0.0100772i | ||||
\(53\) | 4.73611 | + | 6.51870i | 0.650555 | + | 0.895412i | 0.999123 | − | 0.0418714i | \(-0.0133320\pi\) |
−0.348568 | + | 0.937283i | \(0.613332\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −0.156877 | + | 7.06244i | −0.0211533 | + | 0.952299i | ||||
\(56\) | 1.00000i | 0.133631i | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −1.54459 | − | 4.75376i | −0.202815 | − | 0.624199i | ||||
\(59\) | 12.9325 | + | 4.20204i | 1.68367 | + | 0.547059i | 0.985619 | − | 0.168985i | \(-0.0540488\pi\) |
0.698056 | + | 0.716044i | \(0.254049\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −7.05025 | + | 9.70384i | −0.902692 | + | 1.24245i | 0.0669094 | + | 0.997759i | \(0.478686\pi\) |
−0.969601 | + | 0.244690i | \(0.921314\pi\) | |||||||
\(62\) | 0.344901 | − | 1.06150i | 0.0438025 | − | 0.134810i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −0.809017 | + | 0.587785i | −0.101127 | + | 0.0734732i | ||||
\(65\) | −0.500872 | −0.0621255 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −1.74844 | −0.213605 | −0.106803 | − | 0.994280i | \(-0.534061\pi\) | ||||
−0.106803 | + | 0.994280i | \(0.534061\pi\) | |||||||
\(68\) | 3.83995 | − | 2.78988i | 0.465662 | − | 0.338323i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0.658185 | − | 2.02568i | 0.0786681 | − | 0.242116i | ||||
\(71\) | 5.46145 | − | 7.51705i | 0.648155 | − | 0.892109i | −0.350862 | − | 0.936427i | \(-0.614111\pi\) |
0.999017 | + | 0.0443177i | \(0.0141114\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 4.11077 | + | 1.33567i | 0.481129 | + | 0.156328i | 0.539532 | − | 0.841965i | \(-0.318601\pi\) |
−0.0584037 | + | 0.998293i | \(0.518601\pi\) | |||||||
\(74\) | −3.09832 | − | 9.53566i | −0.360173 | − | 1.10850i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | − | 2.49290i | − | 0.285955i | ||||||
\(77\) | −3.17628 | + | 0.954592i | −0.361971 | + | 0.108786i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −4.17755 | − | 5.74990i | −0.470011 | − | 0.646914i | 0.506536 | − | 0.862219i | \(-0.330926\pi\) |
−0.976547 | + | 0.215304i | \(0.930926\pi\) | |||||||
\(80\) | 2.02568 | − | 0.658185i | 0.226478 | − | 0.0735873i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 2.24281 | + | 1.62950i | 0.247677 | + | 0.179948i | ||||
\(83\) | 1.89368 | + | 1.37584i | 0.207859 | + | 0.151018i | 0.686844 | − | 0.726804i | \(-0.258995\pi\) |
−0.478986 | + | 0.877823i | \(0.658995\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −9.61478 | + | 3.12403i | −1.04287 | + | 0.338849i | ||||
\(86\) | −1.98325 | − | 2.72971i | −0.213859 | − | 0.294352i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −2.63925 | − | 2.00857i | −0.281345 | − | 0.214114i | ||||
\(89\) | 9.21315i | 0.976592i | 0.872678 | + | 0.488296i | \(0.162381\pi\) | ||||
−0.872678 | + | 0.488296i | \(0.837619\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −0.0726680 | − | 0.223649i | −0.00761768 | − | 0.0234448i | ||||
\(92\) | 7.08247 | + | 2.30123i | 0.738399 | + | 0.239920i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 7.24222 | − | 9.96805i | 0.746977 | − | 1.02813i | ||||
\(95\) | −1.64079 | + | 5.04982i | −0.168341 | + | 0.518101i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 0.932230 | − | 0.677305i | 0.0946536 | − | 0.0687699i | −0.539452 | − | 0.842016i | \(-0.681369\pi\) |
0.634105 | + | 0.773247i | \(0.281369\pi\) | |||||||
\(98\) | 1.00000 | 0.101015 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 0.463396 | 0.0463396 | ||||||||
\(101\) | −4.15276 | + | 3.01716i | −0.413215 | + | 0.300219i | −0.774902 | − | 0.632081i | \(-0.782201\pi\) |
0.361687 | + | 0.932300i | \(0.382201\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −0.125155 | + | 0.385187i | −0.0123319 | + | 0.0379536i | −0.957033 | − | 0.289979i | \(-0.906352\pi\) |
0.944701 | + | 0.327932i | \(0.106352\pi\) | |||||||
\(104\) | 0.138223 | − | 0.190247i | 0.0135539 | − | 0.0186553i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 7.66319 | + | 2.48992i | 0.744315 | + | 0.241843i | ||||
\(107\) | −1.33478 | − | 4.10805i | −0.129039 | − | 0.397140i | 0.865577 | − | 0.500776i | \(-0.166952\pi\) |
−0.994615 | + | 0.103637i | \(0.966952\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | − | 13.4299i | − | 1.28635i | −0.765719 | − | 0.643176i | \(-0.777616\pi\) | ||
0.765719 | − | 0.643176i | \(-0.222384\pi\) | |||||||
\(110\) | 4.02428 | + | 5.80584i | 0.383700 | + | 0.553565i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 0.587785 | + | 0.809017i | 0.0555405 | + | 0.0764449i | ||||
\(113\) | −16.3124 | + | 5.30023i | −1.53455 | + | 0.498604i | −0.949865 | − | 0.312660i | \(-0.898780\pi\) |
−0.584680 | + | 0.811264i | \(0.698780\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −12.8322 | − | 9.32315i | −1.19661 | − | 0.869388i | ||||
\(116\) | −4.04379 | − | 2.93798i | −0.375456 | − | 0.272785i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 12.9325 | − | 4.20204i | 1.19054 | − | 0.386829i | ||||
\(119\) | −2.78988 | − | 3.83995i | −0.255748 | − | 0.352007i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 3.86037 | − | 10.3004i | 0.350943 | − | 0.936397i | ||||
\(122\) | 11.9946i | 1.08594i | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −0.344901 | − | 1.06150i | −0.0309731 | − | 0.0953253i | ||||
\(125\) | −11.0671 | − | 3.59592i | −0.989873 | − | 0.321629i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −10.8429 | + | 14.9240i | −0.962151 | + | 1.32429i | −0.0162370 | + | 0.999868i | \(0.505169\pi\) |
−0.945914 | + | 0.324419i | \(0.894831\pi\) | |||||||
\(128\) | −0.309017 | + | 0.951057i | −0.0273135 | + | 0.0840623i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −0.405214 | + | 0.294405i | −0.0355396 | + | 0.0258210i | ||||
\(131\) | 16.8993 | 1.47650 | 0.738251 | − | 0.674527i | \(-0.235652\pi\) | ||||
0.738251 | + | 0.674527i | \(0.235652\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −2.49290 | −0.216162 | ||||||||
\(134\) | −1.41451 | + | 1.02770i | −0.122195 | + | 0.0887802i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 1.46673 | − | 4.51413i | 0.125771 | − | 0.387083i | ||||
\(137\) | −6.71611 | + | 9.24394i | −0.573796 | + | 0.789763i | −0.992998 | − | 0.118130i | \(-0.962310\pi\) |
0.419202 | + | 0.907893i | \(0.362310\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −6.43675 | − | 2.09143i | −0.545958 | − | 0.177393i | 0.0230351 | − | 0.999735i | \(-0.492667\pi\) |
−0.568994 | + | 0.822342i | \(0.692667\pi\) | |||||||
\(140\) | −0.658185 | − | 2.02568i | −0.0556268 | − | 0.171202i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | − | 9.29158i | − | 0.779732i | ||||||
\(143\) | 0.736225 | + | 0.257426i | 0.0615663 | + | 0.0215270i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 6.25770 | + | 8.61299i | 0.519674 | + | 0.715270i | ||||
\(146\) | 4.11077 | − | 1.33567i | 0.340209 | − | 0.110541i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −8.11152 | − | 5.89336i | −0.666762 | − | 0.484431i | ||||
\(149\) | −1.52106 | − | 1.10512i | −0.124610 | − | 0.0905347i | 0.523734 | − | 0.851882i | \(-0.324538\pi\) |
−0.648345 | + | 0.761347i | \(0.724538\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −8.38155 | + | 2.72333i | −0.682081 | + | 0.221622i | −0.629506 | − | 0.776995i | \(-0.716743\pi\) |
−0.0525749 | + | 0.998617i | \(0.516743\pi\) | |||||||
\(152\) | −1.46529 | − | 2.01680i | −0.118851 | − | 0.163584i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −2.00857 | + | 2.63925i | −0.161855 | + | 0.212677i | ||||
\(155\) | 2.37727i | 0.190947i | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 0.149322 | + | 0.459566i | 0.0119172 | + | 0.0366773i | 0.956838 | − | 0.290621i | \(-0.0938618\pi\) |
−0.944921 | + | 0.327298i | \(0.893862\pi\) | |||||||
\(158\) | −6.75941 | − | 2.19627i | −0.537750 | − | 0.174726i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 1.25194 | − | 1.72315i | 0.0989747 | − | 0.136227i | ||||
\(161\) | 2.30123 | − | 7.08247i | 0.181363 | − | 0.558177i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −0.116427 | + | 0.0845889i | −0.00911924 | + | 0.00662551i | −0.592336 | − | 0.805691i | \(-0.701794\pi\) |
0.583216 | + | 0.812317i | \(0.301794\pi\) | |||||||
\(164\) | 2.77227 | 0.216478 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 2.34072 | 0.181675 | ||||||||
\(167\) | −20.7340 | + | 15.0641i | −1.60444 | + | 1.16570i | −0.726201 | + | 0.687482i | \(0.758716\pi\) |
−0.878243 | + | 0.478215i | \(0.841284\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 4.00013 | − | 12.3111i | 0.307702 | − | 0.947011i | ||||
\(170\) | −5.94226 | + | 8.17882i | −0.455750 | + | 0.627287i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −3.20896 | − | 1.04266i | −0.244681 | − | 0.0795018i | ||||
\(173\) | −5.03415 | − | 15.4935i | −0.382740 | − | 1.17795i | −0.938107 | − | 0.346346i | \(-0.887422\pi\) |
0.555367 | − | 0.831605i | \(-0.312578\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | − | 0.463396i | − | 0.0350295i | ||||||
\(176\) | −3.31581 | − | 0.0736535i | −0.249938 | − | 0.00555184i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 5.41535 | + | 7.45359i | 0.405898 | + | 0.558670i | ||||
\(179\) | −11.2316 | + | 3.64937i | −0.839489 | + | 0.272766i | −0.697037 | − | 0.717035i | \(-0.745499\pi\) |
−0.142452 | + | 0.989802i | \(0.545499\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −19.1140 | − | 13.8872i | −1.42074 | − | 1.03222i | −0.991650 | − | 0.128961i | \(-0.958836\pi\) |
−0.429086 | − | 0.903264i | \(-0.641164\pi\) | |||||||
\(182\) | −0.190247 | − | 0.138223i | −0.0141021 | − | 0.0102458i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 7.08247 | − | 2.30123i | 0.522127 | − | 0.169649i | ||||
\(185\) | 12.5524 | + | 17.2770i | 0.922874 | + | 1.27023i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 15.7383 | + | 0.349591i | 1.15090 | + | 0.0255647i | ||||
\(188\) | − | 12.3212i | − | 0.898615i | ||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 1.64079 | + | 5.04982i | 0.119035 | + | 0.366352i | ||||
\(191\) | 8.28024 | + | 2.69041i | 0.599137 | + | 0.194672i | 0.592856 | − | 0.805309i | \(-0.298000\pi\) |
0.00628166 | + | 0.999980i | \(0.498000\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 2.43343 | − | 3.34933i | 0.175162 | − | 0.241090i | −0.712405 | − | 0.701769i | \(-0.752394\pi\) |
0.887567 | + | 0.460679i | \(0.152394\pi\) | |||||||
\(194\) | 0.356080 | − | 1.09590i | 0.0255651 | − | 0.0786812i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0.809017 | − | 0.587785i | 0.0577869 | − | 0.0419847i | ||||
\(197\) | 1.79437 | 0.127843 | 0.0639216 | − | 0.997955i | \(-0.479639\pi\) | ||||
0.0639216 | + | 0.997955i | \(0.479639\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 0.421161 | 0.0298553 | 0.0149276 | − | 0.999889i | \(-0.495248\pi\) | ||||
0.0149276 | + | 0.999889i | \(0.495248\pi\) | |||||||
\(200\) | 0.374896 | − | 0.272378i | 0.0265091 | − | 0.0192600i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −1.58621 | + | 4.88187i | −0.111606 | + | 0.343487i | ||||
\(203\) | −2.93798 | + | 4.04379i | −0.206206 | + | 0.283818i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −5.61574 | − | 1.82466i | −0.392220 | − | 0.127440i | ||||
\(206\) | 0.125155 | + | 0.385187i | 0.00871996 | + | 0.0268373i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | − | 0.235159i | − | 0.0163053i | ||||||
\(209\) | 5.00716 | − | 6.57938i | 0.346352 | − | 0.455105i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 10.1482 | + | 13.9678i | 0.698631 | + | 0.961583i | 0.999967 | + | 0.00806540i | \(0.00256733\pi\) |
−0.301336 | + | 0.953518i | \(0.597433\pi\) | |||||||
\(212\) | 7.66319 | − | 2.48992i | 0.526310 | − | 0.171008i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −3.49451 | − | 2.53891i | −0.238880 | − | 0.173556i | ||||
\(215\) | 5.81409 | + | 4.22418i | 0.396518 | + | 0.288087i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −1.06150 | + | 0.344901i | −0.0720591 | + | 0.0234134i | ||||
\(218\) | −7.89390 | − | 10.8650i | −0.534642 | − | 0.735872i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 6.66830 | + | 2.33161i | 0.449577 | + | 0.157197i | ||||
\(221\) | 1.11617i | 0.0750814i | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 2.98554 | + | 9.18853i | 0.199926 | + | 0.615310i | 0.999884 | + | 0.0152530i | \(0.00485537\pi\) |
−0.799957 | + | 0.600057i | \(0.795145\pi\) | |||||||
\(224\) | 0.951057 | + | 0.309017i | 0.0635451 | + | 0.0206471i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −10.0816 | + | 13.8762i | −0.670621 | + | 0.923031i | ||||
\(227\) | −0.0993350 | + | 0.305722i | −0.00659310 | + | 0.0202915i | −0.954299 | − | 0.298854i | \(-0.903396\pi\) |
0.947706 | + | 0.319145i | \(0.103396\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −5.19487 | + | 3.77429i | −0.343287 | + | 0.249412i | −0.746047 | − | 0.665893i | \(-0.768051\pi\) |
0.402761 | + | 0.915305i | \(0.368051\pi\) | |||||||
\(230\) | −15.8615 | −1.04588 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −4.99840 | −0.328161 | ||||||||
\(233\) | 6.16506 | − | 4.47918i | 0.403886 | − | 0.293441i | −0.367236 | − | 0.930128i | \(-0.619696\pi\) |
0.771122 | + | 0.636687i | \(0.219696\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −8.10962 | + | 24.9588i | −0.529013 | + | 1.62814i | ||||
\(236\) | 7.99275 | − | 11.0011i | 0.520284 | − | 0.716109i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −4.51413 | − | 1.46673i | −0.292607 | − | 0.0950739i | ||||
\(239\) | −9.02839 | − | 27.7865i | −0.583998 | − | 1.79736i | −0.603258 | − | 0.797546i | \(-0.706131\pi\) |
0.0192600 | − | 0.999815i | \(-0.493869\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | − | 16.4239i | − | 1.05795i | −0.848636 | − | 0.528977i | \(-0.822576\pi\) | ||
0.848636 | − | 0.528977i | \(-0.177424\pi\) | |||||||
\(242\) | −2.93130 | − | 10.6022i | −0.188431 | − | 0.681538i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 7.05025 | + | 9.70384i | 0.451346 | + | 0.621224i | ||||
\(245\) | −2.02568 | + | 0.658185i | −0.129416 | + | 0.0420499i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 0.474267 | + | 0.344575i | 0.0301769 | + | 0.0219248i | ||||
\(248\) | −0.902963 | − | 0.656041i | −0.0573382 | − | 0.0416587i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −11.0671 | + | 3.59592i | −0.699946 | + | 0.227426i | ||||
\(251\) | 7.01157 | + | 9.65060i | 0.442566 | + | 0.609140i | 0.970780 | − | 0.239971i | \(-0.0771380\pi\) |
−0.528214 | + | 0.849112i | \(0.677138\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 14.0702 | + | 20.2992i | 0.884588 | + | 1.27620i | ||||
\(254\) | 18.4470i | 1.15747i | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0.309017 | + | 0.951057i | 0.0193136 | + | 0.0594410i | ||||
\(257\) | −3.23144 | − | 1.04996i | −0.201572 | − | 0.0654946i | 0.206491 | − | 0.978448i | \(-0.433796\pi\) |
−0.408063 | + | 0.912954i | \(0.633796\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −5.89336 | + | 8.11152i | −0.366196 | + | 0.504025i | ||||
\(260\) | −0.154778 | + | 0.476357i | −0.00959891 | + | 0.0295424i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 13.6718 | − | 9.93318i | 0.844649 | − | 0.613674i | ||||
\(263\) | −20.3065 | −1.25215 | −0.626077 | − | 0.779761i | \(-0.715341\pi\) | ||||
−0.626077 | + | 0.779761i | \(0.715341\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −17.1620 | −1.05426 | ||||||||
\(266\) | −2.01680 | + | 1.46529i | −0.123658 | + | 0.0898426i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −0.540296 | + | 1.66286i | −0.0330039 | + | 0.101575i | ||||
\(269\) | −11.0704 | + | 15.2371i | −0.674975 | + | 0.929024i | −0.999860 | − | 0.0167299i | \(-0.994674\pi\) |
0.324885 | + | 0.945754i | \(0.394674\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −2.33005 | − | 0.757078i | −0.141540 | − | 0.0459892i | 0.237390 | − | 0.971414i | \(-0.423708\pi\) |
−0.378930 | + | 0.925425i | \(0.623708\pi\) | |||||||
\(272\) | −1.46673 | − | 4.51413i | −0.0889335 | − | 0.273709i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 11.4261i | 0.690278i | ||||||||
\(275\) | 1.22302 | + | 0.930764i | 0.0737509 | + | 0.0561272i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 1.00939 | + | 1.38930i | 0.0606482 | + | 0.0834750i | 0.838264 | − | 0.545265i | \(-0.183571\pi\) |
−0.777616 | + | 0.628740i | \(0.783571\pi\) | |||||||
\(278\) | −6.43675 | + | 2.09143i | −0.386051 | + | 0.125436i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −1.72315 | − | 1.25194i | −0.102978 | − | 0.0748178i | ||||
\(281\) | −4.41416 | − | 3.20708i | −0.263327 | − | 0.191318i | 0.448286 | − | 0.893890i | \(-0.352035\pi\) |
−0.711612 | + | 0.702572i | \(0.752035\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 22.4321 | − | 7.28863i | 1.33345 | − | 0.433264i | 0.446356 | − | 0.894855i | \(-0.352721\pi\) |
0.887093 | + | 0.461592i | \(0.152721\pi\) | |||||||
\(284\) | −5.46145 | − | 7.51705i | −0.324078 | − | 0.446055i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0.746930 | − | 0.224481i | 0.0441669 | − | 0.0132738i | ||||
\(287\) | − | 2.77227i | − | 0.163642i | ||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 1.70844 | + | 5.25804i | 0.100497 | + | 0.309297i | ||||
\(290\) | 10.1252 | + | 3.28987i | 0.594571 | + | 0.193188i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 2.54059 | − | 3.49683i | 0.148677 | − | 0.204636i | ||||
\(293\) | 5.97171 | − | 18.3790i | 0.348871 | − | 1.07371i | −0.610607 | − | 0.791933i | \(-0.709075\pi\) |
0.959479 | − | 0.281782i | \(-0.0909253\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −23.4315 | + | 17.0240i | −1.36424 | + | 0.991176i | ||||
\(296\) | −10.0264 | −0.582772 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −1.88014 | −0.108913 | ||||||||
\(299\) | −1.41676 | + | 1.02934i | −0.0819335 | + | 0.0595282i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −1.04266 | + | 3.20896i | −0.0600977 | + | 0.184962i | ||||
\(302\) | −5.18009 | + | 7.12978i | −0.298080 | + | 0.410273i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −2.37089 | − | 0.770347i | −0.135980 | − | 0.0441824i | ||||
\(305\) | −7.89466 | − | 24.2973i | −0.452047 | − | 1.39126i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 22.5480i | 1.28688i | 0.765495 | + | 0.643442i | \(0.222494\pi\) | ||||
−0.765495 | + | 0.643442i | \(0.777506\pi\) | |||||||
\(308\) | −0.0736535 | + | 3.31581i | −0.00419680 | + | 0.188936i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 1.39732 | + | 1.92325i | 0.0793626 | + | 0.109233i | ||||
\(311\) | −13.8491 | + | 4.49985i | −0.785311 | + | 0.255163i | −0.674106 | − | 0.738635i | \(-0.735471\pi\) |
−0.111205 | + | 0.993798i | \(0.535471\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −3.44931 | − | 2.50607i | −0.194966 | − | 0.141651i | 0.486019 | − | 0.873948i | \(-0.338448\pi\) |
−0.680986 | + | 0.732297i | \(0.738448\pi\) | |||||||
\(314\) | 0.390930 | + | 0.284027i | 0.0220615 | + | 0.0160286i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −6.75941 | + | 2.19627i | −0.380247 | + | 0.123550i | ||||
\(317\) | 10.6524 | + | 14.6617i | 0.598297 | + | 0.823485i | 0.995551 | − | 0.0942237i | \(-0.0300369\pi\) |
−0.397254 | + | 0.917709i | \(0.630037\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −4.77143 | − | 15.8763i | −0.267149 | − | 0.888903i | ||||
\(320\) | − | 2.12993i | − | 0.119067i | ||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −2.30123 | − | 7.08247i | −0.128243 | − | 0.394691i | ||||
\(323\) | 11.2532 | + | 3.65640i | 0.626148 | + | 0.203448i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −0.0640519 | + | 0.0881599i | −0.00355296 | + | 0.00489023i | ||||
\(326\) | −0.0444710 | + | 0.136868i | −0.00246302 | + | 0.00758040i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 2.24281 | − | 1.62950i | 0.123839 | − | 0.0899740i | ||||
\(329\) | −12.3212 | −0.679289 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 32.1434 | 1.76676 | 0.883380 | − | 0.468657i | \(-0.155262\pi\) | ||||
0.883380 | + | 0.468657i | \(0.155262\pi\) | |||||||
\(332\) | 1.89368 | − | 1.37584i | 0.103929 | − | 0.0755091i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −7.91968 | + | 24.3743i | −0.433346 | + | 1.33370i | ||||
\(335\) | 2.18894 | − | 3.01282i | 0.119595 | − | 0.164608i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 14.9587 | + | 4.86037i | 0.814851 | + | 0.264761i | 0.686651 | − | 0.726987i | \(-0.259080\pi\) |
0.128200 | + | 0.991748i | \(0.459080\pi\) | |||||||
\(338\) | −4.00013 | − | 12.3111i | −0.217579 | − | 0.669638i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 10.1096i | 0.548269i | ||||||||
\(341\) | 1.22181 | − | 3.49432i | 0.0661647 | − | 0.189228i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −0.587785 | − | 0.809017i | −0.0317374 | − | 0.0436828i | ||||
\(344\) | −3.20896 | + | 1.04266i | −0.173016 | + | 0.0562162i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −13.1796 | − | 9.57553i | −0.708539 | − | 0.514784i | ||||
\(347\) | 6.59624 | + | 4.79245i | 0.354104 | + | 0.257272i | 0.750589 | − | 0.660769i | \(-0.229770\pi\) |
−0.396484 | + | 0.918041i | \(0.629770\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −15.8596 | + | 5.15308i | −0.848943 | + | 0.275838i | −0.701003 | − | 0.713158i | \(-0.747264\pi\) |
−0.147940 | + | 0.988996i | \(0.547264\pi\) | |||||||
\(350\) | −0.272378 | − | 0.374896i | −0.0145592 | − | 0.0200390i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −2.72584 | + | 1.88940i | −0.145288 | + | 0.100705i | ||||
\(353\) | − | 25.9808i | − | 1.38282i | −0.722462 | − | 0.691410i | \(-0.756990\pi\) | ||
0.722462 | − | 0.691410i | \(-0.243010\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 6.11558 | + | 18.8218i | 0.324581 | + | 0.998958i | ||||
\(356\) | 8.76222 | + | 2.84702i | 0.464397 | + | 0.150892i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −6.94151 | + | 9.55417i | −0.366870 | + | 0.504953i | ||||
\(359\) | 3.72488 | − | 11.4640i | 0.196592 | − | 0.605047i | −0.803363 | − | 0.595490i | \(-0.796958\pi\) |
0.999954 | − | 0.00955663i | \(-0.00304202\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −10.3437 | + | 7.51511i | −0.544403 | + | 0.395532i | ||||
\(362\) | −23.6263 | −1.24177 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −0.235159 | −0.0123257 | ||||||||
\(365\) | −7.44800 | + | 5.41129i | −0.389846 | + | 0.283240i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 5.50531 | − | 16.9436i | 0.287375 | − | 0.884448i | −0.698302 | − | 0.715803i | \(-0.746061\pi\) |
0.985677 | − | 0.168645i | \(-0.0539392\pi\) | |||||||
\(368\) | 4.37721 | − | 6.02471i | 0.228178 | − | 0.314060i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 20.3103 | + | 6.59921i | 1.05588 | + | 0.343077i | ||||
\(371\) | −2.48992 | − | 7.66319i | −0.129270 | − | 0.397853i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | − | 4.29068i | − | 0.222163i | −0.993811 | − | 0.111082i | \(-0.964569\pi\) | ||
0.993811 | − | 0.111082i | \(-0.0354315\pi\) | |||||||
\(374\) | 12.9380 | − | 8.96789i | 0.669008 | − | 0.463719i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −7.24222 | − | 9.96805i | −0.373489 | − | 0.514063i | ||||
\(377\) | 1.11789 | − | 0.363224i | 0.0575741 | − | 0.0187070i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 5.68262 | + | 4.12867i | 0.291897 | + | 0.212075i | 0.724090 | − | 0.689706i | \(-0.242260\pi\) |
−0.432193 | + | 0.901781i | \(0.642260\pi\) | |||||||
\(380\) | 4.29563 | + | 3.12096i | 0.220361 | + | 0.160102i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 8.28024 | − | 2.69041i | 0.423654 | − | 0.137654i | ||||
\(383\) | 17.3127 | + | 23.8288i | 0.884635 | + | 1.21760i | 0.975115 | + | 0.221698i | \(0.0711598\pi\) |
−0.0904803 | + | 0.995898i | \(0.528840\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 2.33161 | − | 6.66830i | 0.118830 | − | 0.339848i | ||||
\(386\) | − | 4.14000i | − | 0.210720i | ||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −0.356080 | − | 1.09590i | −0.0180772 | − | 0.0556360i | ||||
\(389\) | −30.3015 | − | 9.84556i | −1.53635 | − | 0.499190i | −0.585982 | − | 0.810324i | \(-0.699291\pi\) |
−0.950366 | + | 0.311134i | \(0.899291\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −20.7761 | + | 28.5959i | −1.05069 | + | 1.44616i | ||||
\(392\) | 0.309017 | − | 0.951057i | 0.0156077 | − | 0.0480356i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 1.45167 | − | 1.05470i | 0.0731342 | − | 0.0531351i | ||||
\(395\) | 15.1380 | 0.761675 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 37.8520 | 1.89973 | 0.949867 | − | 0.312653i | \(-0.101218\pi\) | ||||
0.949867 | + | 0.312653i | \(0.101218\pi\) | |||||||
\(398\) | 0.340726 | − | 0.247552i | 0.0170791 | − | 0.0124087i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 0.143197 | − | 0.440716i | 0.00715987 | − | 0.0220358i | ||||
\(401\) | 0.756656 | − | 1.04145i | 0.0377856 | − | 0.0520074i | −0.789706 | − | 0.613485i | \(-0.789767\pi\) |
0.827492 | + | 0.561478i | \(0.189767\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 0.249620 | + | 0.0811065i | 0.0124345 | + | 0.00404020i | ||||
\(404\) | 1.58621 | + | 4.88187i | 0.0789171 | + | 0.242882i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 4.99840i | 0.248066i | ||||||||
\(407\) | −9.57111 | − | 31.8466i | −0.474422 | − | 1.57858i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −7.10127 | − | 9.77406i | −0.351135 | − | 0.483296i | 0.596517 | − | 0.802600i | \(-0.296551\pi\) |
−0.947652 | + | 0.319304i | \(0.896551\pi\) | |||||||
\(410\) | −5.61574 | + | 1.82466i | −0.277342 | + | 0.0901138i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 0.327660 | + | 0.238059i | 0.0161426 | + | 0.0117283i | ||||
\(413\) | −11.0011 | − | 7.99275i | −0.541328 | − | 0.393298i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −4.74156 | + | 1.54063i | −0.232754 | + | 0.0756264i | ||||
\(416\) | −0.138223 | − | 0.190247i | −0.00677693 | − | 0.00932764i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 0.183611 | − | 8.26596i | 0.00898069 | − | 0.404301i | ||||
\(419\) | − | 13.4057i | − | 0.654911i | −0.944867 | − | 0.327456i | \(-0.893809\pi\) | ||
0.944867 | − | 0.327456i | \(-0.106191\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −1.36949 | − | 4.21487i | −0.0667450 | − | 0.205420i | 0.912122 | − | 0.409920i | \(-0.134443\pi\) |
−0.978867 | + | 0.204500i | \(0.934443\pi\) | |||||||
\(422\) | 16.4201 | + | 5.33523i | 0.799320 | + | 0.259715i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 4.73611 | − | 6.51870i | 0.230006 | − | 0.316576i | ||||
\(425\) | −0.679677 | + | 2.09183i | −0.0329692 | + | 0.101469i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 9.70384 | − | 7.05025i | 0.469602 | − | 0.341186i | ||||
\(428\) | −4.31945 | −0.208789 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 7.18661 | 0.346569 | ||||||||
\(431\) | 12.4280 | − | 9.02948i | 0.598637 | − | 0.434935i | −0.246758 | − | 0.969077i | \(-0.579365\pi\) |
0.845395 | + | 0.534142i | \(0.179365\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −6.22804 | + | 19.1679i | −0.299301 | + | 0.921153i | 0.682442 | + | 0.730940i | \(0.260918\pi\) |
−0.981743 | + | 0.190213i | \(0.939082\pi\) | |||||||
\(434\) | −0.656041 | + | 0.902963i | −0.0314910 | + | 0.0433436i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −12.7726 | − | 4.15007i | −0.611697 | − | 0.198752i | ||||
\(437\) | 5.73674 | + | 17.6559i | 0.274425 | + | 0.844595i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | − | 28.8015i | − | 1.37462i | −0.726365 | − | 0.687309i | \(-0.758792\pi\) | ||
0.726365 | − | 0.687309i | \(-0.241208\pi\) | |||||||
\(440\) | 6.76526 | − | 2.03321i | 0.322521 | − | 0.0969297i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 0.656065 | + | 0.902996i | 0.0312058 | + | 0.0429512i | ||||
\(443\) | −17.3961 | + | 5.65233i | −0.826513 | + | 0.268550i | −0.691576 | − | 0.722304i | \(-0.743083\pi\) |
−0.134937 | + | 0.990854i | \(0.543083\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −15.8756 | − | 11.5343i | −0.752577 | − | 0.546779i | ||||
\(446\) | 7.81623 | + | 5.67883i | 0.370109 | + | 0.268900i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 0.951057 | − | 0.309017i | 0.0449332 | − | 0.0145997i | ||||
\(449\) | −14.8883 | − | 20.4920i | −0.702623 | − | 0.967077i | −0.999924 | − | 0.0122938i | \(-0.996087\pi\) |
0.297302 | − | 0.954784i | \(-0.403913\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 7.31671 | + | 5.56829i | 0.344531 | + | 0.262201i | ||||
\(452\) | 17.1519i | 0.806758i | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 0.0993350 | + | 0.305722i | 0.00466202 | + | 0.0143482i | ||||
\(455\) | 0.476357 | + | 0.154778i | 0.0223320 | + | 0.00725610i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 16.9628 | − | 23.3474i | 0.793488 | − | 1.09214i | −0.200177 | − | 0.979760i | \(-0.564152\pi\) |
0.993665 | − | 0.112383i | \(-0.0358484\pi\) | |||||||
\(458\) | −1.98426 | + | 6.10694i | −0.0927186 | + | 0.285358i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −12.8322 | + | 9.32315i | −0.598305 | + | 0.434694i | ||||
\(461\) | −38.2209 | −1.78012 | −0.890062 | − | 0.455840i | \(-0.849339\pi\) | ||||
−0.890062 | + | 0.455840i | \(0.849339\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −20.6191 | −0.958253 | −0.479126 | − | 0.877746i | \(-0.659046\pi\) | ||||
−0.479126 | + | 0.877746i | \(0.659046\pi\) | |||||||
\(464\) | −4.04379 | + | 2.93798i | −0.187728 | + | 0.136392i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 2.35484 | − | 7.24746i | 0.109086 | − | 0.335732i | ||||
\(467\) | −7.79147 | + | 10.7240i | −0.360546 | + | 0.496249i | −0.950301 | − | 0.311333i | \(-0.899224\pi\) |
0.589755 | + | 0.807583i | \(0.299224\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 1.66286 | + | 0.540296i | 0.0767838 | + | 0.0249486i | ||||
\(470\) | 8.10962 | + | 24.9588i | 0.374069 | + | 1.15127i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | − | 13.5981i | − | 0.625903i | ||||||
\(473\) | −6.37502 | − | 9.19726i | −0.293124 | − | 0.422890i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 0.679009 | + | 0.934576i | 0.0311551 | + | 0.0428813i | ||||
\(476\) | −4.51413 | + | 1.46673i | −0.206905 | + | 0.0672274i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −23.6366 | − | 17.1730i | −1.08111 | − | 0.785475i | ||||
\(479\) | 21.1217 | + | 15.3458i | 0.965076 | + | 0.701169i | 0.954324 | − | 0.298773i | \(-0.0965775\pi\) |
0.0107519 | + | 0.999942i | \(0.496577\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 2.24239 | − | 0.728598i | 0.102244 | − | 0.0332212i | ||||
\(482\) | −9.65371 | − | 13.2872i | −0.439714 | − | 0.605215i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −8.60331 | − | 6.85442i | −0.391060 | − | 0.311564i | ||||
\(485\) | 2.45432i | 0.111445i | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 7.13651 | + | 21.9639i | 0.323386 | + | 0.995280i | 0.972164 | + | 0.234302i | \(0.0752806\pi\) |
−0.648778 | + | 0.760978i | \(0.724719\pi\) | |||||||
\(488\) | 11.4075 | + | 3.70654i | 0.516395 | + | 0.167787i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −1.25194 | + | 1.72315i | −0.0565570 | + | 0.0778440i | ||||
\(491\) | −6.20818 | + | 19.1068i | −0.280171 | + | 0.862278i | 0.707633 | + | 0.706580i | \(0.249763\pi\) |
−0.987805 | + | 0.155699i | \(0.950237\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 19.1936 | − | 13.9449i | 0.864435 | − | 0.628049i | ||||
\(494\) | 0.586226 | 0.0263756 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −1.11612 | −0.0501155 | ||||||||
\(497\) | −7.51705 | + | 5.46145i | −0.337186 | + | 0.244980i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −11.6581 | + | 35.8799i | −0.521888 | + | 1.60621i | 0.248502 | + | 0.968631i | \(0.420062\pi\) |
−0.770389 | + | 0.637574i | \(0.779938\pi\) | |||||||
\(500\) | −6.83985 | + | 9.41425i | −0.305888 | + | 0.421018i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 11.3450 | + | 3.68620i | 0.506350 | + | 0.164523i | ||||
\(503\) | 0.127130 | + | 0.391265i | 0.00566844 | + | 0.0174457i | 0.953851 | − | 0.300281i | \(-0.0970805\pi\) |
−0.948182 | + | 0.317727i | \(0.897081\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | − | 10.9331i | − | 0.486518i | ||||||
\(506\) | 23.3146 | + | 8.15210i | 1.03646 | + | 0.362405i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 10.8429 | + | 14.9240i | 0.481075 | + | 0.662143i | ||||
\(509\) | 17.3693 | − | 5.64364i | 0.769883 | − | 0.250150i | 0.102368 | − | 0.994747i | \(-0.467358\pi\) |
0.667515 | + | 0.744597i | \(0.267358\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −3.49683 | − | 2.54059i | −0.154690 | − | 0.112389i | ||||
\(512\) | 0.809017 | + | 0.587785i | 0.0357538 | + | 0.0259767i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −3.23144 | + | 1.04996i | −0.142533 | + | 0.0463117i | ||||
\(515\) | −0.507049 | − | 0.697893i | −0.0223432 | − | 0.0307528i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 24.7480 | − | 32.5187i | 1.08841 | − | 1.43017i | ||||
\(518\) | 10.0264i | 0.440534i | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 0.154778 | + | 0.476357i | 0.00678746 | + | 0.0208896i | ||||
\(521\) | 36.2661 | + | 11.7836i | 1.58885 | + | 0.516248i | 0.964317 | − | 0.264752i | \(-0.0852900\pi\) |
0.624531 | + | 0.781000i | \(0.285290\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −7.32379 | + | 10.0803i | −0.320247 | + | 0.440782i | −0.938543 | − | 0.345163i | \(-0.887824\pi\) |
0.618295 | + | 0.785946i | \(0.287824\pi\) | |||||||
\(524\) | 5.22218 | − | 16.0722i | 0.228132 | − | 0.702118i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −16.4283 | + | 11.9359i | −0.716309 | + | 0.520429i | ||||
\(527\) | 5.29761 | 0.230767 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −32.4571 | −1.41118 | ||||||||
\(530\) | −13.8844 | + | 10.0876i | −0.603099 | + | 0.438177i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −0.770347 | + | 2.37089i | −0.0333988 | + | 0.102791i | ||||
\(533\) | −0.383191 | + | 0.527417i | −0.0165978 | + | 0.0228450i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 8.74985 | + | 2.84300i | 0.378289 | + | 0.122914i | ||||
\(536\) | 0.540296 | + | 1.66286i | 0.0233372 | + | 0.0718247i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 18.8341i | 0.811996i | ||||||||
\(539\) | 3.31581 | + | 0.0736535i | 0.142822 | + | 0.00317248i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 19.3145 | + | 26.5842i | 0.830396 | + | 1.14294i | 0.987849 | + | 0.155415i | \(0.0496716\pi\) |
−0.157453 | + | 0.987526i | \(0.550328\pi\) | |||||||
\(542\) | −2.33005 | + | 0.757078i | −0.100084 | + | 0.0325193i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −3.83995 | − | 2.78988i | −0.164636 | − | 0.119615i | ||||
\(545\) | 23.1417 | + | 16.8135i | 0.991283 | + | 0.720209i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 32.9159 | − | 10.6950i | 1.40738 | − | 0.457286i | 0.495812 | − | 0.868430i | \(-0.334870\pi\) |
0.911571 | + | 0.411144i | \(0.134870\pi\) | |||||||
\(548\) | 6.71611 | + | 9.24394i | 0.286898 | + | 0.394881i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 1.53653 | + | 0.0341308i | 0.0655180 | + | 0.00145534i | ||||
\(551\) | − | 12.4605i | − | 0.530835i | ||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 2.19627 | + | 6.75941i | 0.0933948 | + | 0.287440i | ||||
\(554\) | 1.63322 | + | 0.530666i | 0.0693889 | + | 0.0225458i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −3.97813 | + | 5.47543i | −0.168710 | + | 0.232210i | ||||
\(557\) | −1.85100 | + | 5.69680i | −0.0784295 | + | 0.241381i | −0.982582 | − | 0.185828i | \(-0.940503\pi\) |
0.904153 | + | 0.427209i | \(0.140503\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 0.641915 | − | 0.466378i | 0.0271501 | − | 0.0197257i | ||||
\(560\) | −2.12993 | −0.0900060 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −5.45620 | −0.230156 | ||||||||
\(563\) | 0.543545 | − | 0.394908i | 0.0229077 | − | 0.0166434i | −0.576273 | − | 0.817258i | \(-0.695493\pi\) |
0.599180 | + | 0.800614i | \(0.295493\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 11.2891 | − | 34.7444i | 0.474937 | − | 1.46171i | ||||
\(566\) | 13.8638 | − | 19.0819i | 0.582739 | − | 0.802071i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −8.83682 | − | 2.87126i | −0.370785 | − | 0.120475i | ||||
\(569\) | 1.66153 | + | 5.11366i | 0.0696550 | + | 0.214376i | 0.979824 | − | 0.199860i | \(-0.0640488\pi\) |
−0.910169 | + | 0.414236i | \(0.864049\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | − | 24.7350i | − | 1.03513i | −0.855644 | − | 0.517565i | \(-0.826839\pi\) | ||
0.855644 | − | 0.517565i | \(-0.173161\pi\) | |||||||
\(572\) | 0.472333 | − | 0.620643i | 0.0197492 | − | 0.0259504i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −1.62950 | − | 2.24281i | −0.0680139 | − | 0.0936132i | ||||
\(575\) | −3.28199 | + | 1.06638i | −0.136869 | + | 0.0444713i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −17.9300 | − | 13.0269i | −0.746436 | − | 0.542318i | 0.148284 | − | 0.988945i | \(-0.452625\pi\) |
−0.894720 | + | 0.446627i | \(0.852625\pi\) | |||||||
\(578\) | 4.47276 | + | 3.24965i | 0.186042 | + | 0.135168i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 10.1252 | − | 3.28987i | 0.420425 | − | 0.136604i | ||||
\(581\) | −1.37584 | − | 1.89368i | −0.0570796 | − | 0.0785633i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 25.2263 | + | 8.82052i | 1.04477 | + | 0.365309i | ||||
\(584\) | − | 4.32231i | − | 0.178859i | ||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −5.97171 | − | 18.3790i | −0.246689 | − | 0.759231i | ||||
\(587\) | −9.04591 | − | 2.93920i | −0.373365 | − | 0.121314i | 0.116323 | − | 0.993211i | \(-0.462889\pi\) |
−0.489688 | + | 0.871898i | \(0.662889\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 1.63544 | − | 2.25099i | 0.0673873 | − | 0.0927506i | ||||
\(590\) | −8.95005 | + | 27.5454i | −0.368468 | + | 1.13403i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −8.11152 | + | 5.89336i | −0.333381 | + | 0.242216i | ||||
\(593\) | −26.3797 | −1.08328 | −0.541642 | − | 0.840609i | \(-0.682197\pi\) | ||||
−0.541642 | + | 0.840609i | \(0.682197\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 10.1096 | 0.414452 | ||||||||
\(596\) | −1.52106 | + | 1.10512i | −0.0623052 | + | 0.0452674i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −0.541155 | + | 1.66550i | −0.0221295 | + | 0.0681075i | ||||
\(599\) | 13.5717 | − | 18.6798i | 0.554524 | − | 0.763237i | −0.436093 | − | 0.899902i | \(-0.643638\pi\) |
0.990617 | + | 0.136664i | \(0.0436381\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 5.79519 | + | 1.88297i | 0.236391 | + | 0.0768081i | 0.424817 | − | 0.905279i | \(-0.360339\pi\) |
−0.188426 | + | 0.982087i | \(0.560339\pi\) | |||||||
\(602\) | 1.04266 | + | 3.20896i | 0.0424955 | + | 0.130788i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 8.81289i | 0.358591i | ||||||||
\(605\) | 12.9161 | + | 19.5475i | 0.525115 | + | 0.794717i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −2.40603 | − | 3.31162i | −0.0976578 | − | 0.134414i | 0.757392 | − | 0.652961i | \(-0.226473\pi\) |
−0.855050 | + | 0.518546i | \(0.826473\pi\) | |||||||
\(608\) | −2.37089 | + | 0.770347i | −0.0961521 | + | 0.0312417i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −20.6685 | − | 15.0165i | −0.836843 | − | 0.608002i | ||||
\(611\) | 2.34407 | + | 1.70307i | 0.0948311 | + | 0.0688988i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 8.68005 | − | 2.82032i | 0.350584 | − | 0.113912i | −0.128431 | − | 0.991718i | \(-0.540994\pi\) |
0.479015 | + | 0.877807i | \(0.340994\pi\) | |||||||
\(614\) | 13.2534 | + | 18.2417i | 0.534863 | + | 0.736176i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 1.88940 | + | 2.72584i | 0.0761259 | + | 0.109827i | ||||
\(617\) | − | 27.2597i | − | 1.09743i | −0.836009 | − | 0.548716i | \(-0.815117\pi\) | ||
0.836009 | − | 0.548716i | \(-0.184883\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −3.92885 | − | 12.0918i | −0.157914 | − | 0.486009i | 0.840530 | − | 0.541764i | \(-0.182243\pi\) |
−0.998444 | + | 0.0557549i | \(0.982243\pi\) | |||||||
\(620\) | 2.26091 | + | 0.734616i | 0.0908005 | + | 0.0295029i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −8.55922 | + | 11.7808i | −0.343193 | + | 0.472365i | ||||
\(623\) | 2.84702 | − | 8.76222i | 0.114063 | − | 0.351051i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 18.1772 | − | 13.2065i | 0.727089 | − | 0.528261i | ||||
\(626\) | −4.26358 | −0.170407 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 0.483216 | 0.0192824 | ||||||||
\(629\) | 38.5008 | − | 27.9724i | 1.53513 | − | 1.11533i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −6.55862 | + | 20.1854i | −0.261095 | + | 0.803567i | 0.731473 | + | 0.681871i | \(0.238833\pi\) |
−0.992567 | + | 0.121696i | \(0.961167\pi\) | |||||||
\(632\) | −4.17755 | + | 5.74990i | −0.166174 | + | 0.228719i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 17.2359 | + | 5.60028i | 0.684525 | + | 0.222416i | ||||
\(635\) | −12.1415 | − | 37.3678i | −0.481823 | − | 1.48290i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 0.235159i | 0.00931733i | ||||||||
\(638\) | −13.1920 | − | 10.0396i | −0.522277 | − | 0.397473i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −1.25194 | − | 1.72315i | −0.0494873 | − | 0.0681135i | ||||
\(641\) | −36.3616 | + | 11.8146i | −1.43620 | + | 0.466649i | −0.920709 | − | 0.390249i | \(-0.872389\pi\) |
−0.515487 | + | 0.856897i | \(0.672389\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −2.77532 | − | 2.01639i | −0.109448 | − | 0.0795186i | 0.531715 | − | 0.846923i | \(-0.321548\pi\) |
−0.641163 | + | 0.767405i | \(0.721548\pi\) | |||||||
\(644\) | −6.02471 | − | 4.37721i | −0.237407 | − | 0.172486i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 11.2532 | − | 3.65640i | 0.442753 | − | 0.143859i | ||||
\(647\) | 15.3920 | + | 21.1853i | 0.605122 | + | 0.832879i | 0.996165 | − | 0.0874933i | \(-0.0278856\pi\) |
−0.391043 | + | 0.920372i | \(0.627886\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 43.1913 | − | 12.9806i | 1.69541 | − | 0.509534i | ||||
\(650\) | 0.108972i | 0.00427422i | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 0.0444710 | + | 0.136868i | 0.00174162 | + | 0.00536015i | ||||
\(653\) | 23.3122 | + | 7.57460i | 0.912278 | + | 0.296417i | 0.727295 | − | 0.686325i | \(-0.240777\pi\) |
0.184982 | + | 0.982742i | \(0.440777\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −21.1570 | + | 29.1201i | −0.826671 | + | 1.13782i | ||||
\(656\) | 0.856678 | − | 2.63658i | 0.0334477 | − | 0.102941i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −9.96805 | + | 7.24222i | −0.388595 | + | 0.282331i | ||||
\(659\) | 3.58143 | 0.139513 | 0.0697564 | − | 0.997564i | \(-0.477778\pi\) | ||||
0.0697564 | + | 0.997564i | \(0.477778\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 5.17432 | 0.201258 | 0.100629 | − | 0.994924i | \(-0.467915\pi\) | ||||
0.100629 | + | 0.994924i | \(0.467915\pi\) | |||||||
\(662\) | 26.0045 | − | 18.8934i | 1.01070 | − | 0.734313i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 0.723323 | − | 2.22616i | 0.0280704 | − | 0.0863917i | ||||
\(665\) | 3.12096 | − | 4.29563i | 0.121026 | − | 0.166578i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 35.4010 | + | 11.5025i | 1.37073 | + | 0.445378i | ||||
\(668\) | 7.91968 | + | 24.3743i | 0.306422 | + | 0.943069i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | − | 3.72405i | − | 0.143872i | ||||||
\(671\) | −0.883444 | + | 39.7718i | −0.0341050 | + | 1.53537i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −17.6103 | − | 24.2386i | −0.678829 | − | 0.934328i | 0.321090 | − | 0.947049i | \(-0.395951\pi\) |
−0.999919 | + | 0.0127207i | \(0.995951\pi\) | |||||||
\(674\) | 14.9587 | − | 4.86037i | 0.576186 | − | 0.187214i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −10.4725 | − | 7.60870i | −0.402788 | − | 0.292642i | ||||
\(677\) | 19.2821 | + | 14.0092i | 0.741070 | + | 0.538419i | 0.893046 | − | 0.449965i | \(-0.148564\pi\) |
−0.151976 | + | 0.988384i | \(0.548564\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −1.09590 | + | 0.356080i | −0.0420569 | + | 0.0136651i | ||||
\(680\) | 5.94226 | + | 8.17882i | 0.227875 | + | 0.313643i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −1.06544 | − | 3.54512i | −0.0407979 | − | 0.135750i | ||||
\(683\) | − | 21.9330i | − | 0.839244i | −0.907699 | − | 0.419622i | \(-0.862163\pi\) | ||
0.907699 | − | 0.419622i | \(-0.137837\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −7.52051 | − | 23.1457i | −0.287344 | − | 0.884353i | ||||
\(686\) | −0.951057 | − | 0.309017i | −0.0363115 | − | 0.0117983i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −1.98325 | + | 2.72971i | −0.0756107 | + | 0.104069i | ||||
\(689\) | −0.585527 | + | 1.80207i | −0.0223068 | + | 0.0686532i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 5.28133 | − | 3.83711i | 0.200911 | − | 0.145970i | −0.482781 | − | 0.875741i | \(-0.660373\pi\) |
0.683692 | + | 0.729771i | \(0.260373\pi\) | |||||||
\(692\) | −16.2909 | −0.619286 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 8.15340 | 0.309499 | ||||||||
\(695\) | 11.6623 | − | 8.47315i | 0.442376 | − | 0.321405i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −4.06617 | + | 12.5144i | −0.154017 | + | 0.474016i | ||||
\(698\) | −9.80175 | + | 13.4909i | −0.371002 | + | 0.510640i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −0.440716 | − | 0.143197i | −0.0166575 | − | 0.00541235i | ||||
\(701\) | −4.79560 | − | 14.7593i | −0.181127 | − | 0.557452i | 0.818733 | − | 0.574175i | \(-0.194677\pi\) |
−0.999860 | + | 0.0167222i | \(0.994677\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | − | 24.9947i | − | 0.942694i | ||||||
\(704\) | −1.09469 | + | 3.13076i | −0.0412577 | + | 0.117995i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −15.2712 | − | 21.0189i | −0.574737 | − | 0.791058i | ||||
\(707\) | 4.88187 | − | 1.58621i | 0.183601 | − | 0.0596557i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −33.8403 | − | 24.5864i | −1.27090 | − | 0.923363i | −0.271662 | − | 0.962393i | \(-0.587573\pi\) |
−0.999238 | + | 0.0390293i | \(0.987573\pi\) | |||||||
\(710\) | 16.0108 | + | 11.6325i | 0.600874 | + | 0.436561i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 8.76222 | − | 2.84702i | 0.328378 | − | 0.106697i | ||||
\(713\) | 4.88551 | + | 6.72432i | 0.182964 | + | 0.251828i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −1.36529 | + | 0.946345i | −0.0510591 | + | 0.0353913i | ||||
\(716\) | 11.8096i | 0.441345i | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −3.72488 | − | 11.4640i | −0.139011 | − | 0.427832i | ||||
\(719\) | −16.8573 | − | 5.47728i | −0.628673 | − | 0.204268i | −0.0226857 | − | 0.999743i | \(-0.507222\pi\) |
−0.605987 | + | 0.795474i | \(0.707222\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 0.238059 | − | 0.327660i | 0.00886578 | − | 0.0122027i | ||||
\(722\) | −3.95093 | + | 12.1597i | −0.147038 | + | 0.452537i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −19.1140 | + | 13.8872i | −0.710368 | + | 0.516112i | ||||
\(725\) | 2.31624 | 0.0860230 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −45.4758 | −1.68661 | −0.843303 | − | 0.537439i | \(-0.819392\pi\) | ||||
−0.843303 | + | 0.537439i | \(0.819392\pi\) | |||||||
\(728\) | −0.190247 | + | 0.138223i | −0.00705104 | + | 0.00512288i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −2.84488 | + | 8.75564i | −0.105294 | + | 0.324061i | ||||
\(731\) | 9.41336 | − | 12.9564i | 0.348166 | − | 0.479209i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −44.7912 | − | 14.5535i | −1.65440 | − | 0.537547i | −0.674714 | − | 0.738079i | \(-0.735733\pi\) |
−0.979687 | + | 0.200532i | \(0.935733\pi\) | |||||||
\(734\) | −5.50531 | − | 16.9436i | −0.203205 | − | 0.625399i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | − | 7.44695i | − | 0.274498i | ||||||
\(737\) | −4.76595 | + | 3.30349i | −0.175556 | + | 0.121685i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 0.819908 | + | 1.12851i | 0.0301608 | + | 0.0415128i | 0.823831 | − | 0.566835i | \(-0.191832\pi\) |
−0.793670 | + | 0.608348i | \(0.791832\pi\) | |||||||
\(740\) | 20.3103 | − | 6.59921i | 0.746621 | − | 0.242592i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −6.51870 | − | 4.73611i | −0.239309 | − | 0.173868i | ||||
\(743\) | 26.1461 | + | 18.9962i | 0.959206 | + | 0.696904i | 0.952966 | − | 0.303077i | \(-0.0980139\pi\) |
0.00623956 | + | 0.999981i | \(0.498014\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 3.80856 | − | 1.23748i | 0.139535 | − | 0.0453377i | ||||
\(746\) | −2.52200 | − | 3.47124i | −0.0923370 | − | 0.127091i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 5.19587 | − | 14.8599i | 0.189980 | − | 0.543333i | ||||
\(749\) | 4.31945i | 0.157829i | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −7.57535 | − | 23.3145i | −0.276428 | − | 0.850759i | −0.988838 | − | 0.148995i | \(-0.952396\pi\) |
0.712410 | − | 0.701764i | \(-0.247604\pi\) | |||||||
\(752\) | −11.7182 | − | 3.80746i | −0.427317 | − | 0.138844i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 0.690892 | − | 0.950932i | 0.0251608 | − | 0.0346309i | ||||
\(755\) | 5.80051 | − | 17.8521i | 0.211102 | − | 0.649705i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 30.7454 | − | 22.3379i | 1.11746 | − | 0.811884i | 0.133640 | − | 0.991030i | \(-0.457334\pi\) |
0.983822 | + | 0.179146i | \(0.0573335\pi\) | |||||||
\(758\) | 7.02411 | 0.255127 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 5.30970 | 0.192603 | ||||||||
\(761\) | −16.7796 | + | 12.1911i | −0.608258 | + | 0.441926i | −0.848801 | − | 0.528713i | \(-0.822675\pi\) |
0.240542 | + | 0.970639i | \(0.422675\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −4.15007 | + | 12.7726i | −0.150243 | + | 0.462399i | ||||
\(764\) | 5.11747 | − | 7.04359i | 0.185144 | − | 0.254828i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 28.0125 | + | 9.10180i | 1.01213 | + | 0.328861i | ||||
\(767\) | 0.988146 | + | 3.04120i | 0.0356799 | + | 0.109811i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | − | 46.8600i | − | 1.68982i | −0.534912 | − | 0.844908i | \(-0.679655\pi\) | ||
0.534912 | − | 0.844908i | \(-0.320345\pi\) | |||||||
\(770\) | −2.03321 | − | 6.76526i | −0.0732720 | − | 0.243803i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −2.43343 | − | 3.34933i | −0.0875810 | − | 0.120545i | ||||
\(773\) | −1.29905 | + | 0.422086i | −0.0467234 | + | 0.0151814i | −0.332285 | − | 0.943179i | \(-0.607820\pi\) |
0.285562 | + | 0.958360i | \(0.407820\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 0.418430 | + | 0.304007i | 0.0150304 | + | 0.0109203i | ||||
\(776\) | −0.932230 | − | 0.677305i | −0.0334651 | − | 0.0243138i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −30.3015 | + | 9.84556i | −1.08636 | + | 0.352980i | ||||
\(779\) | 4.06217 | + | 5.59110i | 0.145542 | + | 0.200322i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 0.684358 | − | 30.8091i | 0.0244882 | − | 1.10244i | ||||
\(782\) | 35.3465i | 1.26399i | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −0.309017 | − | 0.951057i | −0.0110363 | − | 0.0339663i | ||||
\(785\) | −0.978843 | − | 0.318045i | −0.0349364 | − | 0.0113515i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 23.7405 | − | 32.6760i | 0.846258 | − | 1.16477i | −0.138417 | − | 0.990374i | \(-0.544201\pi\) |
0.984675 | − | 0.174400i | \(-0.0557986\pi\) | |||||||
\(788\) | 0.554490 | − | 1.70654i | 0.0197529 | − | 0.0607931i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 12.2469 | − | 8.89789i | 0.435725 | − | 0.316573i | ||||
\(791\) | 17.1519 | 0.609852 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −2.82063 | −0.100164 | ||||||||
\(794\) | 30.6229 | − | 22.2488i | 1.08677 | − | 0.789581i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 0.130146 | − | 0.400547i | 0.00461289 | − | 0.0141970i | ||||
\(797\) | −30.4201 | + | 41.8697i | −1.07754 | + | 1.48310i | −0.215332 | + | 0.976541i | \(0.569083\pi\) |
−0.862204 | + | 0.506560i | \(0.830917\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 55.6194 | + | 18.0718i | 1.96767 | + | 0.639336i | ||||
\(800\) | −0.143197 | − | 0.440716i | −0.00506279 | − | 0.0155817i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | − | 1.28730i | − | 0.0454562i | ||||||
\(803\) | 13.7289 | − | 4.12605i | 0.484482 | − | 0.145605i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 9.32315 | + | 12.8322i | 0.328598 | + | 0.452276i | ||||
\(806\) | 0.249620 | − | 0.0811065i | 0.00879250 | − | 0.00285686i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 4.15276 | + | 3.01716i | 0.146094 | + | 0.106143i | ||||
\(809\) | −11.3568 | − | 8.25119i | −0.399284 | − | 0.290096i | 0.369966 | − | 0.929045i | \(-0.379369\pi\) |
−0.769249 | + | 0.638949i | \(0.779369\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −18.5112 | + | 6.01464i | −0.650014 | + | 0.211203i | −0.615421 | − | 0.788199i | \(-0.711014\pi\) |
−0.0345939 | + | 0.999401i | \(0.511014\pi\) | |||||||
\(812\) | 2.93798 | + | 4.04379i | 0.103103 | + | 0.141909i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −26.4622 | − | 20.1387i | −0.927498 | − | 0.705861i | ||||
\(815\) | − | 0.306521i | − | 0.0107370i | ||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −2.59923 | − | 7.99962i | −0.0909357 | − | 0.279871i | ||||
\(818\) | −11.4901 | − | 3.73336i | −0.401742 | − | 0.130534i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −3.47072 | + | 4.77703i | −0.121203 | + | 0.166821i | ||||
\(821\) | 16.2615 | − | 50.0477i | 0.567529 | − | 1.74668i | −0.0927848 | − | 0.995686i | \(-0.529577\pi\) |
0.660314 | − | 0.750990i | \(-0.270423\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −3.92822 | + | 2.85402i | −0.136929 | + | 0.0994850i | −0.654141 | − | 0.756372i | \(-0.726970\pi\) |
0.517212 | + | 0.855857i | \(0.326970\pi\) | |||||||
\(824\) | 0.405010 | 0.0141092 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −13.5981 | −0.473138 | ||||||||
\(827\) | −20.5296 | + | 14.9156i | −0.713884 | + | 0.518667i | −0.884424 | − | 0.466683i | \(-0.845449\pi\) |
0.170540 | + | 0.985351i | \(0.445449\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −13.1108 | + | 40.3510i | −0.455358 | + | 1.40145i | 0.415357 | + | 0.909658i | \(0.363657\pi\) |
−0.870715 | + | 0.491788i | \(0.836343\pi\) | |||||||
\(830\) | −2.93045 | + | 4.03342i | −0.101717 | + | 0.140002i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −0.223649 | − | 0.0726680i | −0.00775364 | − | 0.00251931i | ||||
\(833\) | 1.46673 | + | 4.51413i | 0.0508191 | + | 0.156405i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | − | 54.5872i | − | 1.88907i | ||||||
\(836\) | −4.71007 | − | 6.79523i | −0.162901 | − | 0.235018i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −7.87967 | − | 10.8454i | −0.272199 | − | 0.374649i | ||||
\(839\) | −46.7259 | + | 15.1822i | −1.61316 | + | 0.524147i | −0.970314 | − | 0.241850i | \(-0.922246\pi\) |
−0.642845 | + | 0.765997i | \(0.722246\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 3.24904 | + | 2.36056i | 0.112036 | + | 0.0813987i | ||||
\(842\) | −3.58538 | − | 2.60493i | −0.123560 | − | 0.0897718i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 16.4201 | − | 5.33523i | 0.565205 | − | 0.183646i | ||||
\(845\) | 16.2060 | + | 22.3057i | 0.557504 | + | 0.767338i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −6.85442 | + | 8.60331i | −0.235521 | + | 0.295613i | ||||
\(848\) | − | 8.05755i | − | 0.276698i | ||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 0.679677 | + | 2.09183i | 0.0233127 | + | 0.0717492i | ||||
\(851\) | 71.0116 | + | 23.0731i | 2.43425 | + | 0.790934i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −6.98237 | + | 9.61041i | −0.239072 | + | 0.329054i | −0.911647 | − | 0.410975i | \(-0.865188\pi\) |
0.672575 | + | 0.740029i | \(0.265188\pi\) | |||||||
\(854\) | 3.70654 | − | 11.4075i | 0.126835 | − | 0.390358i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −3.49451 | + | 2.53891i | −0.119440 | + | 0.0867782i | ||||
\(857\) | −0.316482 | −0.0108108 | −0.00540541 | − | 0.999985i | \(-0.501721\pi\) | ||||
−0.00540541 | + | 0.999985i | \(0.501721\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −0.944089 | −0.0322119 | −0.0161060 | − | 0.999870i | \(-0.505127\pi\) | ||||
−0.0161060 | + | 0.999870i | \(0.505127\pi\) | |||||||
\(860\) | 5.81409 | − | 4.22418i | 0.198259 | − | 0.144043i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 4.74708 | − | 14.6100i | 0.161686 | − | 0.497619i | ||||
\(863\) | −28.9133 | + | 39.7958i | −0.984221 | + | 1.35466i | −0.0496972 | + | 0.998764i | \(0.515826\pi\) |
−0.934524 | + | 0.355900i | \(0.884174\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 33.0001 | + | 10.7224i | 1.12204 | + | 0.364572i | ||||
\(866\) | 6.22804 | + | 19.1679i | 0.211638 | + | 0.651353i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 1.11612i | 0.0378837i | ||||||||
\(869\) | −22.2511 | − | 7.78025i | −0.754819 | − | 0.263927i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −0.241674 | − | 0.332635i | −0.00818880 | − | 0.0112709i | ||||
\(872\) | −12.7726 | + | 4.15007i | −0.432535 | + | 0.140539i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 15.0190 | + | 10.9119i | 0.508024 | + | 0.369101i | ||||
\(875\) | 9.41425 | + | 6.83985i | 0.318260 | + | 0.231229i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 30.3115 | − | 9.84880i | 1.02355 | − | 0.332570i | 0.251311 | − | 0.967906i | \(-0.419138\pi\) |
0.772236 | + | 0.635336i | \(0.219138\pi\) | |||||||
\(878\) | −16.9291 | − | 23.3009i | −0.571329 | − | 0.786366i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 4.27811 | − | 5.62142i | 0.144215 | − | 0.189498i | ||||
\(881\) | 19.4291i | 0.654585i | 0.944923 | + | 0.327292i | \(0.106136\pi\) | ||||
−0.944923 | + | 0.327292i | \(0.893864\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 12.7853 | + | 39.3490i | 0.430259 | + | 1.32420i | 0.897868 | + | 0.440265i | \(0.145116\pi\) |
−0.467609 | + | 0.883935i | \(0.654884\pi\) | |||||||
\(884\) | 1.06154 | + | 0.344914i | 0.0357033 | + | 0.0116007i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −10.7514 | + | 14.7980i | −0.361199 | + | 0.497148i | ||||
\(887\) | 12.5007 | − | 38.4732i | 0.419732 | − | 1.29180i | −0.488217 | − | 0.872722i | \(-0.662353\pi\) |
0.907949 | − | 0.419080i | \(-0.137647\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 14.9240 | − | 10.8429i | 0.500533 | − | 0.363659i | ||||
\(890\) | −19.6234 | −0.657777 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 9.66140 | 0.323488 | ||||||||
\(893\) | 24.8493 | − | 18.0541i | 0.831551 | − | 0.604157i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 7.77290 | − | 23.9225i | 0.259819 | − | 0.799642i | ||||
\(896\) | 0.587785 | − | 0.809017i | 0.0196365 | − | 0.0270274i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −24.0898 | − | 7.82725i | −0.803887 | − | 0.261199i | ||||
\(899\) | −1.72395 | − | 5.30578i | −0.0574971 | − | 0.176958i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 38.2446i | 1.27411i | ||||||||
\(902\) | 9.19231 | + | 0.204187i | 0.306070 | + | 0.00679869i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 10.0816 | + | 13.8762i | 0.335310 | + | 0.461515i | ||||
\(905\) | 47.8593 | − | 15.5504i | 1.59090 | − | 0.516914i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 31.0279 | + | 22.5431i | 1.03026 | + | 0.748530i | 0.968361 | − | 0.249552i | \(-0.0802834\pi\) |
0.0619020 | + | 0.998082i | \(0.480283\pi\) | |||||||
\(908\) | 0.260062 | + | 0.188946i | 0.00863048 | + | 0.00627041i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 0.476357 | − | 0.154778i | 0.0157911 | − | 0.00513084i | ||||
\(911\) | 13.1916 | + | 18.1567i | 0.437058 | + | 0.601559i | 0.969555 | − | 0.244873i | \(-0.0787463\pi\) |
−0.532497 | + | 0.846432i | \(0.678746\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 7.76138 | + | 0.172402i | 0.256864 | + | 0.00570569i | ||||
\(914\) | − | 28.8589i | − | 0.954568i | ||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 1.98426 | + | 6.10694i | 0.0655619 | + | 0.201779i | ||||
\(917\) | −16.0722 | − | 5.22218i | −0.530751 | − | 0.172452i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 4.98239 | − | 6.85767i | 0.164354 | − | 0.226214i | −0.718894 | − | 0.695119i | \(-0.755352\pi\) |
0.883248 | + | 0.468906i | \(0.155352\pi\) | |||||||
\(920\) | −4.90147 | + | 15.0852i | −0.161597 | + | 0.497343i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −30.9213 | + | 22.4657i | −1.01834 | + | 0.739867i | ||||
\(923\) | 2.18500 | 0.0719200 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 4.64619 | 0.152766 | ||||||||
\(926\) | −16.6812 | + | 12.1196i | −0.548179 | + | 0.398276i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −1.54459 | + | 4.75376i | −0.0507036 | + | 0.156050i | ||||
\(929\) | −10.9089 | + | 15.0148i | −0.357910 | + | 0.492621i | −0.949565 | − | 0.313570i | \(-0.898475\pi\) |
0.591655 | + | 0.806191i | \(0.298475\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 2.37089 | + | 0.770347i | 0.0777026 | + | 0.0252471i | ||||
\(932\) | −2.35484 | − | 7.24746i | −0.0771354 | − | 0.237398i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 13.2556i | 0.433738i | ||||||||
\(935\) | −20.3058 | + | 26.6817i | −0.664070 | + | 0.872585i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −25.2597 | − | 34.7670i | −0.825200 | − | 1.13579i | −0.988798 | − | 0.149263i | \(-0.952310\pi\) |
0.163598 | − | 0.986527i | \(-0.447690\pi\) | |||||||
\(938\) | 1.66286 | − | 0.540296i | 0.0542943 | − | 0.0176413i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 21.2313 | + | 15.4254i | 0.692487 | + | 0.503122i | ||||
\(941\) | 9.88935 | + | 7.18504i | 0.322384 | + | 0.234225i | 0.737192 | − | 0.675683i | \(-0.236151\pi\) |
−0.414808 | + | 0.909909i | \(0.636151\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −19.6345 | + | 6.37964i | −0.639388 | + | 0.207750i | ||||
\(944\) | −7.99275 | − | 11.0011i | −0.260142 | − | 0.358055i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −10.5635 | − | 3.69360i | −0.343449 | − | 0.120089i | ||||
\(947\) | − | 14.7538i | − | 0.479435i | −0.970843 | − | 0.239718i | \(-0.922945\pi\) | ||
0.970843 | − | 0.239718i | \(-0.0770549\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 0.314094 | + | 0.966682i | 0.0101959 | + | 0.0313798i | ||||
\(950\) | 1.09866 | + | 0.356976i | 0.0356452 | + | 0.0115818i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −2.78988 | + | 3.83995i | −0.0904206 | + | 0.124453i | ||||
\(953\) | 9.55006 | − | 29.3921i | 0.309357 | − | 0.952102i | −0.668659 | − | 0.743570i | \(-0.733131\pi\) |
0.978015 | − | 0.208533i | \(-0.0668688\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −15.0024 | + | 10.8999i | −0.485465 | + | 0.352711i | ||||
\(956\) | −29.2165 | −0.944928 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 26.1079 | 0.843507 | ||||||||
\(959\) | 9.24394 | − | 6.71611i | 0.298502 | − | 0.216875i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −9.19457 | + | 28.2980i | −0.296599 | + | 0.912838i | ||||
\(962\) | 1.38587 | − | 1.90749i | 0.0446824 | − | 0.0615001i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −15.6200 | − | 5.07525i | −0.503087 | − | 0.163463i | ||||
\(965\) | 2.72488 | + | 8.38632i | 0.0877171 | + | 0.269965i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | − | 43.2159i | − | 1.38973i | −0.719141 | − | 0.694865i | \(-0.755464\pi\) | ||
0.719141 | − | 0.694865i | \(-0.244536\pi\) | |||||||
\(968\) | −10.9892 | − | 0.488442i | −0.353205 | − | 0.0156991i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 1.44261 | + | 1.98559i | 0.0463195 | + | 0.0637533i | ||||
\(971\) | 24.8261 | − | 8.06650i | 0.796708 | − | 0.258866i | 0.117750 | − | 0.993043i | \(-0.462432\pi\) |
0.678958 | + | 0.734177i | \(0.262432\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 5.47543 | + | 3.97813i | 0.175534 | + | 0.127533i | ||||
\(974\) | 18.6836 | + | 13.5745i | 0.598662 | + | 0.434954i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 11.4075 | − | 3.70654i | 0.365147 | − | 0.118643i | ||||
\(977\) | −8.24873 | − | 11.3534i | −0.263900 | − | 0.363228i | 0.656418 | − | 0.754397i | \(-0.272071\pi\) |
−0.920319 | + | 0.391169i | \(0.872071\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 17.4073 | + | 25.1135i | 0.556339 | + | 0.802632i | ||||
\(980\) | 2.12993i | 0.0680381i | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 6.20818 | + | 19.1068i | 0.198111 | + | 0.609723i | ||||
\(983\) | 53.5117 | + | 17.3870i | 1.70676 | + | 0.554559i | 0.989788 | − | 0.142546i | \(-0.0455288\pi\) |
0.716969 | + | 0.697105i | \(0.245529\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −2.24644 | + | 3.09196i | −0.0715776 | + | 0.0985181i | ||||
\(986\) | 7.33129 | − | 22.5634i | 0.233476 | − | 0.718565i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 0.474267 | − | 0.344575i | 0.0150884 | − | 0.0109624i | ||||
\(989\) | 25.1268 | 0.798986 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −43.4611 | −1.38059 | −0.690293 | − | 0.723530i | \(-0.742518\pi\) | ||||
−0.690293 | + | 0.723530i | \(0.742518\pi\) | |||||||
\(992\) | −0.902963 | + | 0.656041i | −0.0286691 | + | 0.0208293i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −2.87126 | + | 8.83682i | −0.0910707 | + | 0.280287i | ||||
\(995\) | −0.527268 | + | 0.725723i | −0.0167155 | + | 0.0230070i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 8.79489 | + | 2.85763i | 0.278537 | + | 0.0905021i | 0.444954 | − | 0.895553i | \(-0.353220\pi\) |
−0.166417 | + | 0.986055i | \(0.553220\pi\) | |||||||
\(998\) | 11.6581 | + | 35.8799i | 0.369030 | + | 1.13576i | ||||
\(999\) | 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 | 1386.2.bu.b.701.2 | yes | 48 | |
3.2 | odd | 2 | 1386.2.bu.a.701.11 | ✓ | 48 | ||
11.7 | odd | 10 | 1386.2.bu.a.953.11 | yes | 48 | ||
33.29 | even | 10 | inner | 1386.2.bu.b.953.2 | yes | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
1386.2.bu.a.701.11 | ✓ | 48 | 3.2 | odd | 2 | ||
1386.2.bu.a.953.11 | yes | 48 | 11.7 | odd | 10 | ||
1386.2.bu.b.701.2 | yes | 48 | 1.1 | even | 1 | trivial | |
1386.2.bu.b.953.2 | yes | 48 | 33.29 | even | 10 | inner |