Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [110,2,Mod(7,110)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(110, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([5, 14]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("110.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 110 = 2 \cdot 5 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 110.k (of order \(20\), degree \(8\), 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: | \(0.878354422234\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 7.1 | ||
Character | \(\chi\) | \(=\) | 110.7 |
Dual form | 110.2.k.a.63.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/110\mathbb{Z}\right)^\times\).
\(n\) | \(67\) | \(101\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{7}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.987688 | + | 0.156434i | −0.698401 | + | 0.110616i | ||||
\(3\) | −1.45771 | − | 2.86091i | −0.841606 | − | 1.65175i | −0.755208 | − | 0.655485i | \(-0.772464\pi\) |
−0.0863983 | − | 0.996261i | \(-0.527536\pi\) | |||||||
\(4\) | 0.951057 | − | 0.309017i | 0.475528 | − | 0.154508i | ||||
\(5\) | −1.70643 | + | 1.44502i | −0.763139 | + | 0.646234i | ||||
\(6\) | 1.88730 | + | 2.59765i | 0.770488 | + | 1.06049i | ||||
\(7\) | −1.35828 | − | 0.692077i | −0.513381 | − | 0.261581i | 0.178052 | − | 0.984021i | \(-0.443020\pi\) |
−0.691433 | + | 0.722440i | \(0.743020\pi\) | |||||||
\(8\) | −0.891007 | + | 0.453990i | −0.315018 | + | 0.160510i | ||||
\(9\) | −4.29653 | + | 5.91367i | −1.43218 | + | 1.97122i | ||||
\(10\) | 1.45937 | − | 1.69418i | 0.461494 | − | 0.535746i | ||||
\(11\) | −2.70495 | − | 1.91918i | −0.815572 | − | 0.578656i | ||||
\(12\) | −2.27043 | − | 2.27043i | −0.655416 | − | 0.655416i | ||||
\(13\) | −0.165595 | − | 1.04553i | −0.0459279 | − | 0.289977i | 0.954025 | − | 0.299728i | \(-0.0968961\pi\) |
−0.999952 | + | 0.00975110i | \(0.996896\pi\) | |||||||
\(14\) | 1.44982 | + | 0.471075i | 0.387481 | + | 0.125900i | ||||
\(15\) | 6.62155 | + | 2.77553i | 1.70968 | + | 0.716638i | ||||
\(16\) | 0.809017 | − | 0.587785i | 0.202254 | − | 0.146946i | ||||
\(17\) | 0.347837 | − | 2.19616i | 0.0843629 | − | 0.532646i | −0.908923 | − | 0.416963i | \(-0.863094\pi\) |
0.993286 | − | 0.115683i | \(-0.0369057\pi\) | |||||||
\(18\) | 3.31853 | − | 6.51299i | 0.782186 | − | 1.53513i | ||||
\(19\) | 1.91500 | − | 5.89375i | 0.439330 | − | 1.35212i | −0.449253 | − | 0.893405i | \(-0.648310\pi\) |
0.888583 | − | 0.458715i | \(-0.151690\pi\) | |||||||
\(20\) | −1.17638 | + | 1.90161i | −0.263046 | + | 0.425214i | ||||
\(21\) | 4.89475i | 1.06812i | ||||||||
\(22\) | 2.97187 | + | 1.47241i | 0.633605 | + | 0.313919i | ||||
\(23\) | −3.05791 | + | 3.05791i | −0.637617 | + | 0.637617i | −0.949967 | − | 0.312350i | \(-0.898884\pi\) |
0.312350 | + | 0.949967i | \(0.398884\pi\) | |||||||
\(24\) | 2.59765 | + | 1.88730i | 0.530243 | + | 0.385244i | ||||
\(25\) | 0.823819 | − | 4.93167i | 0.164764 | − | 0.986333i | ||||
\(26\) | 0.327113 | + | 1.00675i | 0.0641522 | + | 0.197440i | ||||
\(27\) | 13.6675 | + | 2.16472i | 2.63031 | + | 0.416601i | ||||
\(28\) | −1.50566 | − | 0.238474i | −0.284544 | − | 0.0450673i | ||||
\(29\) | −1.39938 | − | 4.30686i | −0.259859 | − | 0.799763i | −0.992833 | − | 0.119507i | \(-0.961869\pi\) |
0.732975 | − | 0.680256i | \(-0.238131\pi\) | |||||||
\(30\) | −6.97422 | − | 1.70552i | −1.27331 | − | 0.311383i | ||||
\(31\) | 2.32781 | + | 1.69125i | 0.418087 | + | 0.303758i | 0.776868 | − | 0.629664i | \(-0.216807\pi\) |
−0.358781 | + | 0.933422i | \(0.616807\pi\) | |||||||
\(32\) | −0.707107 | + | 0.707107i | −0.125000 | + | 0.125000i | ||||
\(33\) | −1.54760 | + | 10.5362i | −0.269402 | + | 1.83412i | ||||
\(34\) | 2.22353i | 0.381333i | ||||||||
\(35\) | 3.31788 | − | 0.781760i | 0.560823 | − | 0.132142i | ||||
\(36\) | −2.25882 | + | 6.95193i | −0.376470 | + | 1.15866i | ||||
\(37\) | −0.631904 | + | 1.24018i | −0.103884 | + | 0.203885i | −0.937098 | − | 0.349067i | \(-0.886499\pi\) |
0.833213 | + | 0.552952i | \(0.186499\pi\) | |||||||
\(38\) | −0.969434 | + | 6.12076i | −0.157263 | + | 0.992919i | ||||
\(39\) | −2.74977 | + | 1.99782i | −0.440316 | + | 0.319908i | ||||
\(40\) | 0.864415 | − | 2.06223i | 0.136676 | − | 0.326067i | ||||
\(41\) | 2.38365 | + | 0.774496i | 0.372264 | + | 0.120956i | 0.489173 | − | 0.872187i | \(-0.337299\pi\) |
−0.116909 | + | 0.993143i | \(0.537299\pi\) | |||||||
\(42\) | −0.765708 | − | 4.83449i | −0.118151 | − | 0.745978i | ||||
\(43\) | −6.40957 | − | 6.40957i | −0.977450 | − | 0.977450i | 0.0223009 | − | 0.999751i | \(-0.492901\pi\) |
−0.999751 | + | 0.0223009i | \(0.992901\pi\) | |||||||
\(44\) | −3.16562 | − | 0.989379i | −0.477235 | − | 0.149155i | ||||
\(45\) | −1.21365 | − | 16.2999i | −0.180920 | − | 2.42984i | ||||
\(46\) | 2.54190 | − | 3.49862i | 0.374782 | − | 0.515843i | ||||
\(47\) | 3.99740 | − | 2.03678i | 0.583081 | − | 0.297095i | −0.137460 | − | 0.990507i | \(-0.543894\pi\) |
0.720541 | + | 0.693413i | \(0.243894\pi\) | |||||||
\(48\) | −2.86091 | − | 1.45771i | −0.412936 | − | 0.210402i | ||||
\(49\) | −2.74855 | − | 3.78305i | −0.392650 | − | 0.540436i | ||||
\(50\) | −0.0421939 | + | 4.99982i | −0.00596712 | + | 0.707082i | ||||
\(51\) | −6.79005 | + | 2.20622i | −0.950797 | + | 0.308933i | ||||
\(52\) | −0.480577 | − | 0.943185i | −0.0666440 | − | 0.130796i | ||||
\(53\) | 3.75665 | − | 0.594995i | 0.516016 | − | 0.0817288i | 0.107005 | − | 0.994258i | \(-0.465874\pi\) |
0.409011 | + | 0.912530i | \(0.365874\pi\) | |||||||
\(54\) | −13.8379 | −1.88310 | ||||||||
\(55\) | 7.38907 | − | 0.633749i | 0.996342 | − | 0.0854548i | ||||
\(56\) | 1.52443 | 0.203711 | ||||||||
\(57\) | −19.6530 | + | 3.11273i | −2.60310 | + | 0.412291i | ||||
\(58\) | 2.05589 | + | 4.03492i | 0.269952 | + | 0.529811i | ||||
\(59\) | −4.27154 | + | 1.38791i | −0.556107 | + | 0.180690i | −0.573569 | − | 0.819158i | \(-0.694441\pi\) |
0.0174620 | + | 0.999848i | \(0.494441\pi\) | |||||||
\(60\) | 7.15515 | + | 0.593511i | 0.923726 | + | 0.0766219i | ||||
\(61\) | 3.48115 | + | 4.79140i | 0.445716 | + | 0.613475i | 0.971470 | − | 0.237161i | \(-0.0762169\pi\) |
−0.525754 | + | 0.850636i | \(0.676217\pi\) | |||||||
\(62\) | −2.56372 | − | 1.30628i | −0.325593 | − | 0.165898i | ||||
\(63\) | 9.92860 | − | 5.05887i | 1.25089 | − | 0.637358i | ||||
\(64\) | 0.587785 | − | 0.809017i | 0.0734732 | − | 0.101127i | ||||
\(65\) | 1.79339 | + | 1.54483i | 0.222443 | + | 0.191613i | ||||
\(66\) | −0.119682 | − | 10.6486i | −0.0147318 | − | 1.31075i | ||||
\(67\) | 5.40776 | + | 5.40776i | 0.660663 | + | 0.660663i | 0.955536 | − | 0.294873i | \(-0.0952775\pi\) |
−0.294873 | + | 0.955536i | \(0.595277\pi\) | |||||||
\(68\) | −0.347837 | − | 2.19616i | −0.0421814 | − | 0.266323i | ||||
\(69\) | 13.2059 | + | 4.29086i | 1.58980 | + | 0.516559i | ||||
\(70\) | −3.15473 | + | 1.29117i | −0.377063 | + | 0.154324i | ||||
\(71\) | −7.19862 | + | 5.23010i | −0.854319 | + | 0.620699i | −0.926334 | − | 0.376704i | \(-0.877057\pi\) |
0.0720143 | + | 0.997404i | \(0.477057\pi\) | |||||||
\(72\) | 1.14349 | − | 7.21970i | 0.134761 | − | 0.850850i | ||||
\(73\) | −5.17847 | + | 10.1633i | −0.606094 | + | 1.18953i | 0.360391 | + | 0.932801i | \(0.382643\pi\) |
−0.966485 | + | 0.256725i | \(0.917357\pi\) | |||||||
\(74\) | 0.430117 | − | 1.32376i | 0.0500001 | − | 0.153884i | ||||
\(75\) | −15.3099 | + | 4.83204i | −1.76784 | + | 0.557956i | ||||
\(76\) | − | 6.19706i | − | 0.710852i | ||||||
\(77\) | 2.34584 | + | 4.47882i | 0.267334 | + | 0.510409i | ||||
\(78\) | 2.40339 | − | 2.40339i | 0.272130 | − | 0.272130i | ||||
\(79\) | 4.69179 | + | 3.40879i | 0.527868 | + | 0.383518i | 0.819560 | − | 0.572994i | \(-0.194218\pi\) |
−0.291692 | + | 0.956512i | \(0.594218\pi\) | |||||||
\(80\) | −0.531169 | + | 2.17206i | −0.0593865 | + | 0.242844i | ||||
\(81\) | −6.95367 | − | 21.4012i | −0.772631 | − | 2.37791i | ||||
\(82\) | −2.47546 | − | 0.392075i | −0.273369 | − | 0.0432974i | ||||
\(83\) | 1.26330 | + | 0.200087i | 0.138665 | + | 0.0219624i | 0.225381 | − | 0.974271i | \(-0.427637\pi\) |
−0.0867161 | + | 0.996233i | \(0.527637\pi\) | |||||||
\(84\) | 1.51256 | + | 4.65519i | 0.165034 | + | 0.507922i | ||||
\(85\) | 2.57994 | + | 4.25022i | 0.279833 | + | 0.461002i | ||||
\(86\) | 7.33334 | + | 5.32798i | 0.790774 | + | 0.574531i | ||||
\(87\) | −10.2816 | + | 10.2816i | −1.10231 | + | 1.10231i | ||||
\(88\) | 3.28142 | + | 0.481987i | 0.349800 | + | 0.0513800i | ||||
\(89\) | − | 10.5518i | − | 1.11849i | −0.829004 | − | 0.559243i | \(-0.811092\pi\) | ||
0.829004 | − | 0.559243i | \(-0.188908\pi\) | |||||||
\(90\) | 3.74856 | + | 15.9093i | 0.395133 | + | 1.67699i | ||||
\(91\) | −0.498662 | + | 1.53472i | −0.0522740 | + | 0.160883i | ||||
\(92\) | −1.96330 | + | 3.85319i | −0.204688 | + | 0.401722i | ||||
\(93\) | 1.44526 | − | 9.12499i | 0.149866 | − | 0.946218i | ||||
\(94\) | −3.62956 | + | 2.63703i | −0.374361 | + | 0.271989i | ||||
\(95\) | 5.24880 | + | 12.8245i | 0.538515 | + | 1.31577i | ||||
\(96\) | 3.05372 | + | 0.992214i | 0.311669 | + | 0.101267i | ||||
\(97\) | 1.09605 | + | 6.92020i | 0.111287 | + | 0.702639i | 0.978738 | + | 0.205116i | \(0.0657572\pi\) |
−0.867451 | + | 0.497523i | \(0.834243\pi\) | |||||||
\(98\) | 3.30651 | + | 3.30651i | 0.334008 | + | 0.334008i | ||||
\(99\) | 22.9713 | − | 7.75031i | 2.30870 | − | 0.778936i | ||||
\(100\) | −0.740470 | − | 4.94487i | −0.0740470 | − | 0.494487i | ||||
\(101\) | 10.3519 | − | 14.2481i | 1.03005 | − | 1.41774i | 0.125136 | − | 0.992140i | \(-0.460063\pi\) |
0.904912 | − | 0.425599i | \(-0.139937\pi\) | |||||||
\(102\) | 6.36132 | − | 3.24125i | 0.629865 | − | 0.320932i | ||||
\(103\) | −2.86217 | − | 1.45835i | −0.282018 | − | 0.143695i | 0.307260 | − | 0.951625i | \(-0.400588\pi\) |
−0.589278 | + | 0.807930i | \(0.700588\pi\) | |||||||
\(104\) | 0.622206 | + | 0.856394i | 0.0610124 | + | 0.0839763i | ||||
\(105\) | −7.07303 | − | 8.35256i | −0.690257 | − | 0.815127i | ||||
\(106\) | −3.61732 | + | 1.17534i | −0.351345 | + | 0.114159i | ||||
\(107\) | −7.49892 | − | 14.7175i | −0.724948 | − | 1.42279i | −0.898953 | − | 0.438045i | \(-0.855671\pi\) |
0.174006 | − | 0.984745i | \(-0.444329\pi\) | |||||||
\(108\) | 13.6675 | − | 2.16472i | 1.31516 | − | 0.208300i | ||||
\(109\) | −1.88801 | −0.180839 | −0.0904195 | − | 0.995904i | \(-0.528821\pi\) | ||||
−0.0904195 | + | 0.995904i | \(0.528821\pi\) | |||||||
\(110\) | −7.19896 | + | 1.78185i | −0.686394 | + | 0.169893i | ||||
\(111\) | 4.46917 | 0.424195 | ||||||||
\(112\) | −1.50566 | + | 0.238474i | −0.142272 | + | 0.0225336i | ||||
\(113\) | 1.81113 | + | 3.55455i | 0.170377 | + | 0.334384i | 0.960368 | − | 0.278734i | \(-0.0899149\pi\) |
−0.789991 | + | 0.613118i | \(0.789915\pi\) | |||||||
\(114\) | 18.9241 | − | 6.14881i | 1.77240 | − | 0.575889i | ||||
\(115\) | 0.799364 | − | 9.63685i | 0.0745411 | − | 0.898641i | ||||
\(116\) | −2.66178 | − | 3.66363i | −0.247140 | − | 0.340160i | ||||
\(117\) | 6.89439 | + | 3.51287i | 0.637387 | + | 0.324765i | ||||
\(118\) | 4.00183 | − | 2.03903i | 0.368398 | − | 0.187708i | ||||
\(119\) | −1.99237 | + | 2.74226i | −0.182640 | + | 0.251383i | ||||
\(120\) | −7.15991 | + | 0.533109i | −0.653607 | + | 0.0486660i | ||||
\(121\) | 3.63346 | + | 10.3826i | 0.330314 | + | 0.943871i | ||||
\(122\) | −4.18783 | − | 4.18783i | −0.379149 | − | 0.379149i | ||||
\(123\) | −1.25890 | − | 7.94840i | −0.113511 | − | 0.716683i | ||||
\(124\) | 2.73650 | + | 0.889144i | 0.245745 | + | 0.0798475i | ||||
\(125\) | 5.72058 | + | 9.60599i | 0.511664 | + | 0.859186i | ||||
\(126\) | −9.01498 | + | 6.54977i | −0.803118 | + | 0.583500i | ||||
\(127\) | 2.65395 | − | 16.7564i | 0.235500 | − | 1.48689i | −0.532495 | − | 0.846433i | \(-0.678746\pi\) |
0.767995 | − | 0.640456i | \(-0.221254\pi\) | |||||||
\(128\) | −0.453990 | + | 0.891007i | −0.0401275 | + | 0.0787546i | ||||
\(129\) | −8.99392 | + | 27.6805i | −0.791871 | + | 2.43713i | ||||
\(130\) | −2.01297 | − | 1.24527i | −0.176550 | − | 0.109217i | ||||
\(131\) | − | 9.77651i | − | 0.854177i | −0.904210 | − | 0.427089i | \(-0.859539\pi\) | ||
0.904210 | − | 0.427089i | \(-0.140461\pi\) | |||||||
\(132\) | 1.78401 | + | 10.4988i | 0.155278 | + | 0.913800i | ||||
\(133\) | −6.68003 | + | 6.68003i | −0.579232 | + | 0.579232i | ||||
\(134\) | −6.18714 | − | 4.49522i | −0.534488 | − | 0.388328i | ||||
\(135\) | −26.4507 | + | 16.0559i | −2.27652 | + | 1.38187i | ||||
\(136\) | 0.687109 | + | 2.11471i | 0.0589191 | + | 0.181334i | ||||
\(137\) | −2.44036 | − | 0.386515i | −0.208494 | − | 0.0330222i | 0.0513136 | − | 0.998683i | \(-0.483659\pi\) |
−0.259808 | + | 0.965660i | \(0.583659\pi\) | |||||||
\(138\) | −13.7146 | − | 2.17217i | −1.16746 | − | 0.184908i | ||||
\(139\) | −2.32161 | − | 7.14518i | −0.196916 | − | 0.606046i | −0.999949 | − | 0.0101112i | \(-0.996781\pi\) |
0.803032 | − | 0.595935i | \(-0.203219\pi\) | |||||||
\(140\) | 2.91391 | − | 1.76878i | 0.246270 | − | 0.149489i | ||||
\(141\) | −11.6541 | − | 8.46717i | −0.981449 | − | 0.713065i | ||||
\(142\) | 6.29183 | − | 6.29183i | 0.527998 | − | 0.527998i | ||||
\(143\) | −1.55864 | + | 3.14590i | −0.130340 | + | 0.263074i | ||||
\(144\) | 7.30970i | 0.609141i | ||||||||
\(145\) | 8.61146 | + | 5.32722i | 0.715143 | + | 0.442401i | ||||
\(146\) | 3.52482 | − | 10.8483i | 0.291716 | − | 0.897810i | ||||
\(147\) | −6.81639 | + | 13.3779i | −0.562206 | + | 1.10339i | ||||
\(148\) | −0.217739 | + | 1.37475i | −0.0178981 | + | 0.113004i | ||||
\(149\) | 0.0269615 | − | 0.0195887i | 0.00220877 | − | 0.00160477i | −0.586680 | − | 0.809819i | \(-0.699565\pi\) |
0.588889 | + | 0.808214i | \(0.299565\pi\) | |||||||
\(150\) | 14.3655 | − | 7.16755i | 1.17294 | − | 0.585228i | ||||
\(151\) | −20.1481 | − | 6.54653i | −1.63963 | − | 0.532749i | −0.663176 | − | 0.748463i | \(-0.730792\pi\) |
−0.976457 | + | 0.215714i | \(0.930792\pi\) | |||||||
\(152\) | 0.969434 | + | 6.12076i | 0.0786315 | + | 0.496459i | ||||
\(153\) | 11.4929 | + | 11.4929i | 0.929142 | + | 0.929142i | ||||
\(154\) | −3.01760 | − | 4.05671i | −0.243165 | − | 0.326899i | ||||
\(155\) | −6.41615 | + | 0.477730i | −0.515357 | + | 0.0383722i | ||||
\(156\) | −1.99782 | + | 2.74977i | −0.159954 | + | 0.220158i | ||||
\(157\) | 1.75037 | − | 0.891858i | 0.139695 | − | 0.0711780i | −0.382746 | − | 0.923854i | \(-0.625022\pi\) |
0.522441 | + | 0.852676i | \(0.325022\pi\) | |||||||
\(158\) | −5.16728 | − | 2.63286i | −0.411087 | − | 0.209459i | ||||
\(159\) | −7.17831 | − | 9.88010i | −0.569277 | − | 0.783543i | ||||
\(160\) | 0.184844 | − | 2.22841i | 0.0146132 | − | 0.176172i | ||||
\(161\) | 6.26979 | − | 2.03718i | 0.494129 | − | 0.160552i | ||||
\(162\) | 10.2160 | + | 20.0499i | 0.802641 | + | 1.57527i | ||||
\(163\) | −2.15047 | + | 0.340601i | −0.168438 | + | 0.0266779i | −0.240084 | − | 0.970752i | \(-0.577175\pi\) |
0.0716458 | + | 0.997430i | \(0.477175\pi\) | |||||||
\(164\) | 2.50632 | 0.195711 | ||||||||
\(165\) | −12.5842 | − | 20.2156i | −0.979677 | − | 1.57378i | ||||
\(166\) | −1.27905 | −0.0992732 | ||||||||
\(167\) | 21.1879 | − | 3.35583i | 1.63957 | − | 0.259682i | 0.732530 | − | 0.680735i | \(-0.238339\pi\) |
0.907036 | + | 0.421053i | \(0.138339\pi\) | |||||||
\(168\) | −2.22217 | − | 4.36126i | −0.171444 | − | 0.336478i | ||||
\(169\) | 11.2980 | − | 3.67095i | 0.869079 | − | 0.282381i | ||||
\(170\) | −3.21305 | − | 3.79431i | −0.246430 | − | 0.291010i | ||||
\(171\) | 26.6259 | + | 36.6474i | 2.03613 | + | 2.80249i | ||||
\(172\) | −8.07653 | − | 4.11520i | −0.615830 | − | 0.313781i | ||||
\(173\) | 11.7553 | − | 5.98965i | 0.893742 | − | 0.455384i | 0.0541069 | − | 0.998535i | \(-0.482769\pi\) |
0.839635 | + | 0.543151i | \(0.182769\pi\) | |||||||
\(174\) | 8.54665 | − | 11.7634i | 0.647920 | − | 0.891785i | ||||
\(175\) | −4.53207 | + | 6.12843i | −0.342592 | + | 0.463266i | ||||
\(176\) | −3.31642 | + | 0.0372739i | −0.249984 | + | 0.00280962i | ||||
\(177\) | 10.1973 | + | 10.1973i | 0.766477 | + | 0.766477i | ||||
\(178\) | 1.65066 | + | 10.4219i | 0.123722 | + | 0.781152i | ||||
\(179\) | −12.8887 | − | 4.18779i | −0.963346 | − | 0.313010i | −0.215219 | − | 0.976566i | \(-0.569047\pi\) |
−0.748127 | + | 0.663555i | \(0.769047\pi\) | |||||||
\(180\) | −6.19118 | − | 15.1270i | −0.461463 | − | 1.12750i | ||||
\(181\) | −13.9517 | + | 10.1365i | −1.03702 | + | 0.753441i | −0.969702 | − | 0.244290i | \(-0.921445\pi\) |
−0.0673204 | + | 0.997731i | \(0.521445\pi\) | |||||||
\(182\) | 0.252439 | − | 1.59384i | 0.0187120 | − | 0.118143i | ||||
\(183\) | 8.63324 | − | 16.9437i | 0.638188 | − | 1.25251i | ||||
\(184\) | 1.33635 | − | 4.11287i | 0.0985173 | − | 0.303205i | ||||
\(185\) | −0.713789 | − | 3.02940i | −0.0524788 | − | 0.222726i | ||||
\(186\) | 9.23874i | 0.677417i | ||||||||
\(187\) | −5.15571 | + | 5.27292i | −0.377023 | + | 0.385594i | ||||
\(188\) | 3.17236 | − | 3.17236i | 0.231368 | − | 0.231368i | ||||
\(189\) | −17.0661 | − | 12.3993i | −1.24138 | − | 0.901914i | ||||
\(190\) | −7.19037 | − | 11.8455i | −0.521644 | − | 0.859364i | ||||
\(191\) | −3.89136 | − | 11.9764i | −0.281569 | − | 0.866580i | −0.987406 | − | 0.158206i | \(-0.949429\pi\) |
0.705837 | − | 0.708374i | \(-0.250571\pi\) | |||||||
\(192\) | −3.17134 | − | 0.502291i | −0.228872 | − | 0.0362497i | ||||
\(193\) | −3.78808 | − | 0.599973i | −0.272672 | − | 0.0431870i | 0.0186009 | − | 0.999827i | \(-0.494079\pi\) |
−0.291273 | + | 0.956640i | \(0.594079\pi\) | |||||||
\(194\) | −2.16511 | − | 6.66354i | −0.155446 | − | 0.478414i | ||||
\(195\) | 1.80539 | − | 7.38263i | 0.129287 | − | 0.528681i | ||||
\(196\) | −3.78305 | − | 2.74855i | −0.270218 | − | 0.196325i | ||||
\(197\) | 7.40013 | − | 7.40013i | 0.527238 | − | 0.527238i | −0.392510 | − | 0.919748i | \(-0.628393\pi\) |
0.919748 | + | 0.392510i | \(0.128393\pi\) | |||||||
\(198\) | −21.4761 | + | 11.2484i | −1.52624 | + | 0.799389i | ||||
\(199\) | 9.10742i | 0.645608i | 0.946466 | + | 0.322804i | \(0.104625\pi\) | ||||
−0.946466 | + | 0.322804i | \(0.895375\pi\) | |||||||
\(200\) | 1.50490 | + | 4.76815i | 0.106413 | + | 0.337159i | ||||
\(201\) | 7.58818 | − | 23.3540i | 0.535229 | − | 1.64727i | ||||
\(202\) | −7.99551 | + | 15.6921i | −0.562562 | + | 1.10409i | ||||
\(203\) | −1.07993 | + | 6.81839i | −0.0757960 | + | 0.478557i | ||||
\(204\) | −5.77596 | + | 4.19648i | −0.404398 | + | 0.293812i | ||||
\(205\) | −5.18670 | + | 2.12281i | −0.362255 | + | 0.148263i | ||||
\(206\) | 3.05507 | + | 0.992651i | 0.212857 | + | 0.0691613i | ||||
\(207\) | −4.94505 | − | 31.2218i | −0.343705 | − | 2.17007i | ||||
\(208\) | −0.748516 | − | 0.748516i | −0.0519002 | − | 0.0519002i | ||||
\(209\) | −16.4912 | + | 12.2671i | −1.14072 | + | 0.848530i | ||||
\(210\) | 8.29258 | + | 7.14326i | 0.572242 | + | 0.492932i | ||||
\(211\) | −14.7378 | + | 20.2849i | −1.01459 | + | 1.39647i | −0.0986665 | + | 0.995121i | \(0.531458\pi\) |
−0.915926 | + | 0.401347i | \(0.868542\pi\) | |||||||
\(212\) | 3.38892 | − | 1.72674i | 0.232752 | − | 0.118593i | ||||
\(213\) | 25.4563 | + | 12.9706i | 1.74424 | + | 0.888734i | ||||
\(214\) | 9.70891 | + | 13.3632i | 0.663687 | + | 0.913487i | ||||
\(215\) | 20.1995 | + | 1.67552i | 1.37759 | + | 0.114270i | ||||
\(216\) | −13.1606 | + | 4.27614i | −0.895466 | + | 0.290954i | ||||
\(217\) | −1.99133 | − | 3.90821i | −0.135181 | − | 0.265307i | ||||
\(218\) | 1.86477 | − | 0.295350i | 0.126298 | − | 0.0200037i | ||||
\(219\) | 36.6250 | 2.47489 | ||||||||
\(220\) | 6.83158 | − | 2.88608i | 0.460585 | − | 0.194579i | ||||
\(221\) | −2.35374 | −0.158330 | ||||||||
\(222\) | −4.41415 | + | 0.699133i | −0.296258 | + | 0.0469227i | ||||
\(223\) | −2.26373 | − | 4.44282i | −0.151590 | − | 0.297513i | 0.802706 | − | 0.596375i | \(-0.203393\pi\) |
−0.954296 | + | 0.298862i | \(0.903393\pi\) | |||||||
\(224\) | 1.44982 | − | 0.471075i | 0.0968702 | − | 0.0314750i | ||||
\(225\) | 25.6247 | + | 26.0608i | 1.70831 | + | 1.73739i | ||||
\(226\) | −2.34489 | − | 3.22746i | −0.155980 | − | 0.214688i | ||||
\(227\) | 1.81833 | + | 0.926486i | 0.120687 | + | 0.0614931i | 0.513292 | − | 0.858214i | \(-0.328426\pi\) |
−0.392605 | + | 0.919707i | \(0.628426\pi\) | |||||||
\(228\) | −17.7292 | + | 9.03349i | −1.17415 | + | 0.598257i | ||||
\(229\) | 0.895888 | − | 1.23308i | 0.0592020 | − | 0.0814845i | −0.778389 | − | 0.627782i | \(-0.783963\pi\) |
0.837591 | + | 0.546297i | \(0.183963\pi\) | |||||||
\(230\) | 0.718013 | + | 9.64325i | 0.0473444 | + | 0.635857i | ||||
\(231\) | 9.39394 | − | 13.2400i | 0.618076 | − | 0.871131i | ||||
\(232\) | 3.20213 | + | 3.20213i | 0.210230 | + | 0.210230i | ||||
\(233\) | −3.47122 | − | 21.9164i | −0.227407 | − | 1.43579i | −0.792050 | − | 0.610457i | \(-0.790986\pi\) |
0.564642 | − | 0.825336i | \(-0.309014\pi\) | |||||||
\(234\) | −7.35904 | − | 2.39110i | −0.481076 | − | 0.156311i | ||||
\(235\) | −3.87810 | + | 9.25196i | −0.252980 | + | 0.603531i | ||||
\(236\) | −3.63358 | + | 2.63995i | −0.236526 | + | 0.171846i | ||||
\(237\) | 2.91297 | − | 18.3918i | 0.189218 | − | 1.19468i | ||||
\(238\) | 1.53886 | − | 3.02018i | 0.0997492 | − | 0.195769i | ||||
\(239\) | −7.65870 | + | 23.5711i | −0.495400 | + | 1.52468i | 0.320932 | + | 0.947102i | \(0.396004\pi\) |
−0.816332 | + | 0.577583i | \(0.803996\pi\) | |||||||
\(240\) | 6.98836 | − | 1.64660i | 0.451097 | − | 0.106288i | ||||
\(241\) | 0.0562577i | 0.00362387i | 0.999998 | + | 0.00181194i | \(0.000576758\pi\) | ||||
−0.999998 | + | 0.00181194i | \(0.999423\pi\) | |||||||
\(242\) | −5.21292 | − | 9.68636i | −0.335099 | − | 0.622662i | ||||
\(243\) | −21.7359 | + | 21.7359i | −1.39436 | + | 1.39436i | ||||
\(244\) | 4.79140 | + | 3.48115i | 0.306738 | + | 0.222858i | ||||
\(245\) | 10.1568 | + | 2.48381i | 0.648895 | + | 0.158685i | ||||
\(246\) | 2.48681 | + | 7.65360i | 0.158553 | + | 0.487976i | ||||
\(247\) | −6.47920 | − | 1.02620i | −0.412262 | − | 0.0652958i | ||||
\(248\) | −2.84191 | − | 0.450114i | −0.180461 | − | 0.0285822i | ||||
\(249\) | −1.26909 | − | 3.90585i | −0.0804251 | − | 0.247523i | ||||
\(250\) | −7.15286 | − | 8.59283i | −0.452386 | − | 0.543458i | ||||
\(251\) | 6.81505 | + | 4.95143i | 0.430162 | + | 0.312531i | 0.781714 | − | 0.623637i | \(-0.214346\pi\) |
−0.351551 | + | 0.936169i | \(0.614346\pi\) | |||||||
\(252\) | 7.87938 | − | 7.87938i | 0.496354 | − | 0.496354i | ||||
\(253\) | 14.1402 | − | 2.40278i | 0.888984 | − | 0.151062i | ||||
\(254\) | 16.9653i | 1.06449i | ||||||||
\(255\) | 8.39871 | − | 13.5765i | 0.525948 | − | 0.850196i | ||||
\(256\) | 0.309017 | − | 0.951057i | 0.0193136 | − | 0.0594410i | ||||
\(257\) | 4.76675 | − | 9.35527i | 0.297342 | − | 0.583566i | −0.693205 | − | 0.720740i | \(-0.743802\pi\) |
0.990547 | + | 0.137175i | \(0.0438021\pi\) | |||||||
\(258\) | 4.55302 | − | 28.7466i | 0.283458 | − | 1.78969i | ||||
\(259\) | 1.71660 | − | 1.24718i | 0.106664 | − | 0.0774963i | ||||
\(260\) | 2.18299 | + | 0.915036i | 0.135384 | + | 0.0567481i | ||||
\(261\) | 31.4818 | + | 10.2291i | 1.94868 | + | 0.633163i | ||||
\(262\) | 1.52938 | + | 9.65614i | 0.0944856 | + | 0.596558i | ||||
\(263\) | 3.20922 | + | 3.20922i | 0.197889 | + | 0.197889i | 0.799095 | − | 0.601205i | \(-0.205313\pi\) |
−0.601205 | + | 0.799095i | \(0.705313\pi\) | |||||||
\(264\) | −3.40442 | − | 10.0904i | −0.209527 | − | 0.621022i | ||||
\(265\) | −5.55069 | + | 6.44376i | −0.340976 | + | 0.395837i | ||||
\(266\) | 5.55280 | − | 7.64278i | 0.340464 | − | 0.468609i | ||||
\(267\) | −30.1877 | + | 15.3814i | −1.84746 | + | 0.941325i | ||||
\(268\) | 6.81417 | + | 3.47200i | 0.416242 | + | 0.212086i | ||||
\(269\) | −15.2248 | − | 20.9551i | −0.928272 | − | 1.27766i | −0.960530 | − | 0.278178i | \(-0.910270\pi\) |
0.0322573 | − | 0.999480i | \(-0.489730\pi\) | |||||||
\(270\) | 23.6134 | − | 19.9960i | 1.43707 | − | 1.21692i | ||||
\(271\) | 20.4415 | − | 6.64186i | 1.24173 | − | 0.403464i | 0.386783 | − | 0.922171i | \(-0.373586\pi\) |
0.854952 | + | 0.518707i | \(0.173586\pi\) | |||||||
\(272\) | −1.00946 | − | 1.98118i | −0.0612077 | − | 0.120127i | ||||
\(273\) | 5.11760 | − | 0.810549i | 0.309731 | − | 0.0490566i | ||||
\(274\) | 2.47078 | 0.149265 | ||||||||
\(275\) | −11.6932 | + | 11.7588i | −0.705124 | + | 0.709084i | ||||
\(276\) | 13.8855 | 0.835810 | ||||||||
\(277\) | −13.5625 | + | 2.14809i | −0.814893 | + | 0.129066i | −0.549950 | − | 0.835198i | \(-0.685353\pi\) |
−0.264943 | + | 0.964264i | \(0.585353\pi\) | |||||||
\(278\) | 3.41078 | + | 6.69403i | 0.204565 | + | 0.401481i | ||||
\(279\) | −20.0030 | + | 6.49937i | −1.19755 | + | 0.389107i | ||||
\(280\) | −2.60134 | + | 2.20284i | −0.155460 | + | 0.131645i | ||||
\(281\) | 5.82266 | + | 8.01420i | 0.347351 | + | 0.478087i | 0.946570 | − | 0.322498i | \(-0.104522\pi\) |
−0.599220 | + | 0.800585i | \(0.704522\pi\) | |||||||
\(282\) | 12.8351 | + | 6.53983i | 0.764322 | + | 0.389441i | ||||
\(283\) | −1.83534 | + | 0.935154i | −0.109100 | + | 0.0555891i | −0.507689 | − | 0.861541i | \(-0.669500\pi\) |
0.398589 | + | 0.917130i | \(0.369500\pi\) | |||||||
\(284\) | −5.23010 | + | 7.19862i | −0.310350 | + | 0.427160i | ||||
\(285\) | 29.0385 | − | 33.7107i | 1.72009 | − | 1.99685i | ||||
\(286\) | 1.04732 | − | 3.35100i | 0.0619292 | − | 0.198149i | ||||
\(287\) | −2.70165 | − | 2.70165i | −0.159473 | − | 0.159473i | ||||
\(288\) | −1.14349 | − | 7.21970i | −0.0673807 | − | 0.425425i | ||||
\(289\) | 11.4658 | + | 3.72548i | 0.674461 | + | 0.219146i | ||||
\(290\) | −9.33880 | − | 3.91450i | −0.548393 | − | 0.229867i | ||||
\(291\) | 18.2003 | − | 13.2233i | 1.06692 | − | 0.775164i | ||||
\(292\) | −1.78438 | + | 11.2661i | −0.104423 | + | 0.659300i | ||||
\(293\) | −8.91767 | + | 17.5019i | −0.520976 | + | 1.02247i | 0.469259 | + | 0.883061i | \(0.344521\pi\) |
−0.990234 | + | 0.139412i | \(0.955479\pi\) | |||||||
\(294\) | 4.63970 | − | 14.2795i | 0.270593 | − | 0.832799i | ||||
\(295\) | 5.28353 | − | 8.54083i | 0.307619 | − | 0.497266i | ||||
\(296\) | − | 1.39189i | − | 0.0809018i | ||||||
\(297\) | −32.8154 | − | 32.0859i | −1.90414 | − | 1.86181i | ||||
\(298\) | −0.0235652 | + | 0.0235652i | −0.00136510 | + | 0.00136510i | ||||
\(299\) | 3.70350 | + | 2.69075i | 0.214179 | + | 0.155610i | ||||
\(300\) | −13.0674 | + | 9.32657i | −0.754448 | + | 0.538470i | ||||
\(301\) | 4.27006 | + | 13.1419i | 0.246122 | + | 0.757486i | ||||
\(302\) | 20.9242 | + | 3.31407i | 1.20405 | + | 0.190703i | ||||
\(303\) | −55.8524 | − | 8.84616i | −3.20864 | − | 0.508199i | ||||
\(304\) | −1.91500 | − | 5.89375i | −0.109833 | − | 0.338030i | ||||
\(305\) | −12.8640 | − | 3.14584i | −0.736592 | − | 0.180131i | ||||
\(306\) | −13.1492 | − | 9.55348i | −0.751692 | − | 0.546136i | ||||
\(307\) | −8.35315 | + | 8.35315i | −0.476740 | + | 0.476740i | −0.904087 | − | 0.427348i | \(-0.859448\pi\) |
0.427348 | + | 0.904087i | \(0.359448\pi\) | |||||||
\(308\) | 3.61506 | + | 3.53470i | 0.205987 | + | 0.201408i | ||||
\(309\) | 10.3142i | 0.586757i | ||||||||
\(310\) | 6.26242 | − | 1.47555i | 0.355681 | − | 0.0838059i | ||||
\(311\) | −4.29712 | + | 13.2252i | −0.243667 | + | 0.749931i | 0.752185 | + | 0.658952i | \(0.229000\pi\) |
−0.995853 | + | 0.0909796i | \(0.971000\pi\) | |||||||
\(312\) | 1.54307 | − | 3.02844i | 0.0873591 | − | 0.171452i | ||||
\(313\) | 4.72303 | − | 29.8201i | 0.266962 | − | 1.68553i | −0.381569 | − | 0.924341i | \(-0.624616\pi\) |
0.648530 | − | 0.761189i | \(-0.275384\pi\) | |||||||
\(314\) | −1.58930 | + | 1.15470i | −0.0896895 | + | 0.0651633i | ||||
\(315\) | −9.63229 | + | 22.9797i | −0.542718 | + | 1.29476i | ||||
\(316\) | 5.51553 | + | 1.79211i | 0.310273 | + | 0.100814i | ||||
\(317\) | 4.79669 | + | 30.2851i | 0.269409 | + | 1.70098i | 0.636894 | + | 0.770951i | \(0.280219\pi\) |
−0.367485 | + | 0.930029i | \(0.619781\pi\) | |||||||
\(318\) | 8.63552 | + | 8.63552i | 0.484256 | + | 0.484256i | ||||
\(319\) | −4.48040 | + | 14.3355i | −0.250854 | + | 0.802633i | ||||
\(320\) | 0.166032 | + | 2.22990i | 0.00928150 | + | 0.124655i | ||||
\(321\) | −31.1741 | + | 42.9074i | −1.73997 | + | 2.39486i | ||||
\(322\) | −5.87392 | + | 2.99291i | −0.327341 | + | 0.166788i | ||||
\(323\) | −12.2775 | − | 6.25570i | −0.683139 | − | 0.348076i | ||||
\(324\) | −13.2267 | − | 18.2050i | −0.734815 | − | 1.01139i | ||||
\(325\) | −5.29262 | − | 0.0446648i | −0.293581 | − | 0.00247756i | ||||
\(326\) | 2.07071 | − | 0.672816i | 0.114686 | − | 0.0372638i | ||||
\(327\) | 2.75217 | + | 5.40143i | 0.152195 | + | 0.298700i | ||||
\(328\) | −2.47546 | + | 0.392075i | −0.136685 | + | 0.0216487i | ||||
\(329\) | −6.83919 | −0.377057 | ||||||||
\(330\) | 15.5917 | + | 17.9981i | 0.858293 | + | 0.990765i | ||||
\(331\) | 14.2522 | 0.783372 | 0.391686 | − | 0.920099i | \(-0.371892\pi\) | ||||
0.391686 | + | 0.920099i | \(0.371892\pi\) | |||||||
\(332\) | 1.26330 | − | 0.200087i | 0.0693325 | − | 0.0109812i | ||||
\(333\) | −4.61903 | − | 9.06535i | −0.253121 | − | 0.496778i | ||||
\(334\) | −20.4020 | + | 6.62902i | −1.11635 | + | 0.362724i | ||||
\(335\) | −17.0423 | − | 1.41364i | −0.931121 | − | 0.0772353i | ||||
\(336\) | 2.87706 | + | 3.95994i | 0.156957 | + | 0.216032i | ||||
\(337\) | 12.2410 | + | 6.23713i | 0.666812 | + | 0.339758i | 0.754415 | − | 0.656398i | \(-0.227921\pi\) |
−0.0876027 | + | 0.996155i | \(0.527921\pi\) | |||||||
\(338\) | −10.5847 | + | 5.39316i | −0.575730 | + | 0.293349i | ||||
\(339\) | 7.52914 | − | 10.3630i | 0.408927 | − | 0.562839i | ||||
\(340\) | 3.76706 | + | 3.24496i | 0.204297 | + | 0.175983i | ||||
\(341\) | −3.05077 | − | 9.04224i | −0.165208 | − | 0.489665i | ||||
\(342\) | −32.0310 | − | 32.0310i | −1.73204 | − | 1.73204i | ||||
\(343\) | 2.78444 | + | 17.5803i | 0.150346 | + | 0.949246i | ||||
\(344\) | 8.62085 | + | 2.80109i | 0.464805 | + | 0.151024i | ||||
\(345\) | −28.7354 | + | 11.7608i | −1.54706 | + | 0.633179i | ||||
\(346\) | −10.6736 | + | 7.75484i | −0.573818 | + | 0.416903i | ||||
\(347\) | −2.77431 | + | 17.5163i | −0.148933 | + | 0.940326i | 0.794139 | + | 0.607737i | \(0.207922\pi\) |
−0.943072 | + | 0.332589i | \(0.892078\pi\) | |||||||
\(348\) | −6.60121 | + | 12.9556i | −0.353862 | + | 0.694494i | ||||
\(349\) | 5.50175 | − | 16.9327i | 0.294502 | − | 0.906384i | −0.688886 | − | 0.724870i | \(-0.741900\pi\) |
0.983388 | − | 0.181515i | \(-0.0581000\pi\) | |||||||
\(350\) | 3.51757 | − | 6.76195i | 0.188022 | − | 0.361441i | ||||
\(351\) | − | 14.6482i | − | 0.781865i | ||||||
\(352\) | 3.26975 | − | 0.555617i | 0.174278 | − | 0.0296145i | ||||
\(353\) | 12.3974 | − | 12.3974i | 0.659845 | − | 0.659845i | −0.295499 | − | 0.955343i | \(-0.595486\pi\) |
0.955343 | + | 0.295499i | \(0.0954858\pi\) | |||||||
\(354\) | −11.6670 | − | 8.47655i | −0.620093 | − | 0.450524i | ||||
\(355\) | 4.72634 | − | 19.3270i | 0.250848 | − | 1.02577i | ||||
\(356\) | −3.26068 | − | 10.0353i | −0.172816 | − | 0.531872i | ||||
\(357\) | 10.7496 | + | 1.70258i | 0.568932 | + | 0.0901099i | ||||
\(358\) | 13.3851 | + | 2.12000i | 0.707426 | + | 0.112045i | ||||
\(359\) | −2.37480 | − | 7.30888i | −0.125337 | − | 0.385748i | 0.868625 | − | 0.495470i | \(-0.165004\pi\) |
−0.993962 | + | 0.109722i | \(0.965004\pi\) | |||||||
\(360\) | 8.48135 | + | 13.9723i | 0.447006 | + | 0.736405i | ||||
\(361\) | −15.6978 | − | 11.4051i | −0.826200 | − | 0.600270i | ||||
\(362\) | 12.1942 | − | 12.1942i | 0.640915 | − | 0.640915i | ||||
\(363\) | 24.4071 | − | 25.5297i | 1.28104 | − | 1.33996i | ||||
\(364\) | 1.61370i | 0.0845810i | ||||||||
\(365\) | −5.84952 | − | 24.8260i | −0.306178 | − | 1.29945i | ||||
\(366\) | −5.87638 | + | 18.0856i | −0.307163 | + | 0.945351i | ||||
\(367\) | 16.4293 | − | 32.2443i | 0.857603 | − | 1.68314i | 0.136139 | − | 0.990690i | \(-0.456531\pi\) |
0.721464 | − | 0.692452i | \(-0.243469\pi\) | |||||||
\(368\) | −0.676506 | + | 4.27129i | −0.0352653 | + | 0.222656i | ||||
\(369\) | −14.8215 | + | 10.7685i | −0.771579 | + | 0.560585i | ||||
\(370\) | 1.17890 | + | 2.88044i | 0.0612883 | + | 0.149747i | ||||
\(371\) | −5.51436 | − | 1.79172i | −0.286291 | − | 0.0930217i | ||||
\(372\) | −1.44526 | − | 9.12499i | −0.0749331 | − | 0.473109i | ||||
\(373\) | −11.5350 | − | 11.5350i | −0.597259 | − | 0.597259i | 0.342323 | − | 0.939582i | \(-0.388786\pi\) |
−0.939582 | + | 0.342323i | \(0.888786\pi\) | |||||||
\(374\) | 4.26737 | − | 6.01453i | 0.220660 | − | 0.311004i | ||||
\(375\) | 19.1429 | − | 30.3687i | 0.988536 | − | 1.56823i | ||||
\(376\) | −2.63703 | + | 3.62956i | −0.135995 | + | 0.187181i | ||||
\(377\) | −4.27121 | + | 2.17629i | −0.219978 | + | 0.112085i | ||||
\(378\) | 18.7957 | + | 9.57688i | 0.966746 | + | 0.492582i | ||||
\(379\) | 3.86753 | + | 5.32320i | 0.198662 | + | 0.273434i | 0.896712 | − | 0.442614i | \(-0.145949\pi\) |
−0.698050 | + | 0.716049i | \(0.745949\pi\) | |||||||
\(380\) | 8.95489 | + | 10.5749i | 0.459376 | + | 0.542479i | ||||
\(381\) | −51.8071 | + | 16.8332i | −2.65416 | + | 0.862389i | ||||
\(382\) | 5.71697 | + | 11.2202i | 0.292505 | + | 0.574074i | ||||
\(383\) | 28.9091 | − | 4.57876i | 1.47719 | − | 0.233963i | 0.634733 | − | 0.772731i | \(-0.281110\pi\) |
0.842454 | + | 0.538768i | \(0.181110\pi\) | |||||||
\(384\) | 3.21087 | 0.163854 | ||||||||
\(385\) | −10.4750 | − | 4.25300i | −0.533856 | − | 0.216753i | ||||
\(386\) | 3.83530 | 0.195212 | ||||||||
\(387\) | 65.4430 | − | 10.3652i | 3.32665 | − | 0.526890i | ||||
\(388\) | 3.18087 | + | 6.24280i | 0.161484 | + | 0.316930i | ||||
\(389\) | −4.21993 | + | 1.37114i | −0.213959 | + | 0.0695195i | −0.414035 | − | 0.910261i | \(-0.635881\pi\) |
0.200076 | + | 0.979780i | \(0.435881\pi\) | |||||||
\(390\) | −0.628267 | + | 7.57417i | −0.0318136 | + | 0.383533i | ||||
\(391\) | 5.65199 | + | 7.77930i | 0.285833 | + | 0.393416i | ||||
\(392\) | 4.16644 | + | 2.12291i | 0.210437 | + | 0.107223i | ||||
\(393\) | −27.9697 | + | 14.2513i | −1.41088 | + | 0.718881i | ||||
\(394\) | −6.15139 | + | 8.46666i | −0.309903 | + | 0.426544i | ||||
\(395\) | −12.9320 | + | 0.962884i | −0.650679 | + | 0.0484480i | ||||
\(396\) | 19.4520 | − | 14.4695i | 0.977501 | − | 0.727120i | ||||
\(397\) | 6.59354 | + | 6.59354i | 0.330920 | + | 0.330920i | 0.852936 | − | 0.522016i | \(-0.174820\pi\) |
−0.522016 | + | 0.852936i | \(0.674820\pi\) | |||||||
\(398\) | −1.42471 | − | 8.99529i | −0.0714145 | − | 0.450893i | ||||
\(399\) | 28.8485 | + | 9.37344i | 1.44423 | + | 0.469259i | ||||
\(400\) | −2.23228 | − | 4.47403i | −0.111614 | − | 0.223701i | ||||
\(401\) | −7.12541 | + | 5.17691i | −0.355826 | + | 0.258523i | −0.751309 | − | 0.659951i | \(-0.770577\pi\) |
0.395483 | + | 0.918473i | \(0.370577\pi\) | |||||||
\(402\) | −3.84138 | + | 24.2535i | −0.191591 | + | 1.20966i | ||||
\(403\) | 1.38278 | − | 2.71385i | 0.0688811 | − | 0.135187i | ||||
\(404\) | 5.44229 | − | 16.7496i | 0.270764 | − | 0.833326i | ||||
\(405\) | 42.7912 | + | 26.4715i | 2.12631 | + | 1.31538i | ||||
\(406\) | − | 6.90338i | − | 0.342609i | ||||||
\(407\) | 4.08940 | − | 2.14188i | 0.202704 | − | 0.106169i | ||||
\(408\) | 5.04837 | − | 5.04837i | 0.249932 | − | 0.249932i | ||||
\(409\) | 14.0728 | + | 10.2245i | 0.695853 | + | 0.505567i | 0.878579 | − | 0.477597i | \(-0.158492\pi\) |
−0.182726 | + | 0.983164i | \(0.558492\pi\) | |||||||
\(410\) | 4.79077 | − | 2.90805i | 0.236599 | − | 0.143618i | ||||
\(411\) | 2.45154 | + | 7.54507i | 0.120926 | + | 0.372171i | ||||
\(412\) | −3.17274 | − | 0.502512i | −0.156310 | − | 0.0247570i | ||||
\(413\) | 6.76247 | + | 1.07107i | 0.332759 | + | 0.0527039i | ||||
\(414\) | 9.76834 | + | 30.0639i | 0.480088 | + | 1.47756i | ||||
\(415\) | −2.44486 | + | 1.48406i | −0.120014 | + | 0.0728497i | ||||
\(416\) | 0.856394 | + | 0.622206i | 0.0419882 | + | 0.0305062i | ||||
\(417\) | −17.0575 | + | 17.0575i | −0.835309 | + | 0.835309i | ||||
\(418\) | 14.3691 | − | 14.6958i | 0.702818 | − | 0.718796i | ||||
\(419\) | 16.4015i | 0.801265i | 0.916239 | + | 0.400632i | \(0.131210\pi\) | ||||
−0.916239 | + | 0.400632i | \(0.868790\pi\) | |||||||
\(420\) | −9.30793 | − | 5.75807i | −0.454181 | − | 0.280965i | ||||
\(421\) | 8.15001 | − | 25.0832i | 0.397207 | − | 1.22248i | −0.530022 | − | 0.847984i | \(-0.677816\pi\) |
0.927229 | − | 0.374494i | \(-0.122184\pi\) | |||||||
\(422\) | 11.3831 | − | 22.3406i | 0.554121 | − | 1.08752i | ||||
\(423\) | −5.13013 | + | 32.3904i | −0.249436 | + | 1.57487i | ||||
\(424\) | −3.07708 | + | 2.23563i | −0.149436 | + | 0.108572i | ||||
\(425\) | −10.5442 | − | 3.52465i | −0.511467 | − | 0.170971i | ||||
\(426\) | −27.1720 | − | 8.82870i | −1.31649 | − | 0.427752i | ||||
\(427\) | −1.41236 | − | 8.91727i | −0.0683488 | − | 0.431537i | ||||
\(428\) | −11.6798 | − | 11.6798i | −0.564566 | − | 0.564566i | ||||
\(429\) | 11.2722 | − | 0.126690i | 0.544226 | − | 0.00611667i | ||||
\(430\) | −20.2129 | + | 1.50500i | −0.974752 | + | 0.0725776i | ||||
\(431\) | −5.58501 | + | 7.68711i | −0.269020 | + | 0.370275i | −0.922059 | − | 0.387050i | \(-0.873494\pi\) |
0.653038 | + | 0.757325i | \(0.273494\pi\) | |||||||
\(432\) | 12.3296 | − | 6.28227i | 0.593210 | − | 0.302256i | ||||
\(433\) | −22.2230 | − | 11.3232i | −1.06797 | − | 0.544158i | −0.170557 | − | 0.985348i | \(-0.554557\pi\) |
−0.897414 | + | 0.441190i | \(0.854557\pi\) | |||||||
\(434\) | 2.57820 | + | 3.54858i | 0.123757 | + | 0.170338i | ||||
\(435\) | 2.68771 | − | 32.4021i | 0.128866 | − | 1.55356i | ||||
\(436\) | −1.79561 | + | 0.583428i | −0.0859940 | + | 0.0279411i | ||||
\(437\) | 12.1667 | + | 23.8784i | 0.582011 | + | 1.14226i | ||||
\(438\) | −36.1741 | + | 5.72941i | −1.72846 | + | 0.273762i | ||||
\(439\) | 1.69115 | 0.0807143 | 0.0403571 | − | 0.999185i | \(-0.487150\pi\) | ||||
0.0403571 | + | 0.999185i | \(0.487150\pi\) | |||||||
\(440\) | −6.29599 | + | 3.91924i | −0.300150 | + | 0.186843i | ||||
\(441\) | 34.1809 | 1.62766 | ||||||||
\(442\) | 2.32477 | − | 0.368207i | 0.110578 | − | 0.0175138i | ||||
\(443\) | 9.21964 | + | 18.0946i | 0.438038 | + | 0.859698i | 0.999482 | + | 0.0321835i | \(0.0102461\pi\) |
−0.561444 | + | 0.827515i | \(0.689754\pi\) | |||||||
\(444\) | 4.25044 | − | 1.38105i | 0.201717 | − | 0.0655418i | ||||
\(445\) | 15.2476 | + | 18.0059i | 0.722804 | + | 0.853561i | ||||
\(446\) | 2.93087 | + | 4.03399i | 0.138781 | + | 0.191015i | ||||
\(447\) | −0.0953432 | − | 0.0485798i | −0.00450958 | − | 0.00229775i | ||||
\(448\) | −1.35828 | + | 0.692077i | −0.0641726 | + | 0.0326976i | ||||
\(449\) | 24.7166 | − | 34.0195i | 1.16645 | − | 1.60548i | 0.482643 | − | 0.875817i | \(-0.339677\pi\) |
0.683806 | − | 0.729664i | \(-0.260323\pi\) | |||||||
\(450\) | −29.3860 | − | 21.7314i | −1.38527 | − | 1.02443i | ||||
\(451\) | −4.96125 | − | 6.66964i | −0.233616 | − | 0.314061i | ||||
\(452\) | 2.82091 | + | 2.82091i | 0.132684 | + | 0.132684i | ||||
\(453\) | 10.6410 | + | 67.1849i | 0.499960 | + | 3.15662i | ||||
\(454\) | −1.94088 | − | 0.630630i | −0.0910900 | − | 0.0295969i | ||||
\(455\) | −1.36678 | − | 3.33948i | −0.0640755 | − | 0.156557i | ||||
\(456\) | 16.0978 | − | 11.6957i | 0.753848 | − | 0.547703i | ||||
\(457\) | 1.58324 | − | 9.99618i | 0.0740608 | − | 0.467602i | −0.922587 | − | 0.385789i | \(-0.873929\pi\) |
0.996648 | − | 0.0818123i | \(-0.0260708\pi\) | |||||||
\(458\) | −0.691961 | + | 1.35805i | −0.0323332 | + | 0.0634575i | ||||
\(459\) | 9.50814 | − | 29.2630i | 0.443802 | − | 1.36588i | ||||
\(460\) | −2.21771 | − | 9.41221i | −0.103401 | − | 0.438846i | ||||
\(461\) | 27.4513i | 1.27854i | 0.768984 | + | 0.639268i | \(0.220763\pi\) | ||||
−0.768984 | + | 0.639268i | \(0.779237\pi\) | |||||||
\(462\) | −7.20708 | + | 14.5466i | −0.335304 | + | 0.676768i | ||||
\(463\) | 12.8080 | − | 12.8080i | 0.595237 | − | 0.595237i | −0.343804 | − | 0.939041i | \(-0.611716\pi\) |
0.939041 | + | 0.343804i | \(0.111716\pi\) | |||||||
\(464\) | −3.66363 | − | 2.66178i | −0.170080 | − | 0.123570i | ||||
\(465\) | 10.7196 | + | 17.6596i | 0.497109 | + | 0.818945i | ||||
\(466\) | 6.85697 | + | 21.1036i | 0.317643 | + | 0.977604i | ||||
\(467\) | −21.5674 | − | 3.41594i | −0.998021 | − | 0.158071i | −0.364010 | − | 0.931395i | \(-0.618593\pi\) |
−0.634011 | + | 0.773324i | \(0.718593\pi\) | |||||||
\(468\) | 7.64249 | + | 1.21045i | 0.353274 | + | 0.0559532i | ||||
\(469\) | −3.60265 | − | 11.0878i | −0.166355 | − | 0.511988i | ||||
\(470\) | 2.38303 | − | 9.74472i | 0.109921 | − | 0.449490i | ||||
\(471\) | −5.10305 | − | 3.70758i | −0.235136 | − | 0.170836i | ||||
\(472\) | 3.17587 | − | 3.17587i | 0.146181 | − | 0.146181i | ||||
\(473\) | 5.03639 | + | 29.6387i | 0.231573 | + | 1.36279i | ||||
\(474\) | 18.6210i | 0.855293i | ||||||||
\(475\) | −27.4884 | − | 14.2995i | −1.26125 | − | 0.656106i | ||||
\(476\) | −1.04745 | + | 3.22372i | −0.0480098 | + | 0.147759i | ||||
\(477\) | −12.6220 | + | 24.7720i | −0.577920 | + | 1.13423i | ||||
\(478\) | 3.87708 | − | 24.4789i | 0.177334 | − | 1.11964i | ||||
\(479\) | −5.27636 | + | 3.83350i | −0.241083 | + | 0.175157i | −0.701766 | − | 0.712408i | \(-0.747605\pi\) |
0.460683 | + | 0.887565i | \(0.347605\pi\) | |||||||
\(480\) | −6.64474 | + | 2.71955i | −0.303289 | + | 0.124130i | ||||
\(481\) | 1.40128 | + | 0.455305i | 0.0638931 | + | 0.0207601i | ||||
\(482\) | −0.00880064 | − | 0.0555650i | −0.000400858 | − | 0.00253092i | ||||
\(483\) | −14.9677 | − | 14.9677i | −0.681054 | − | 0.681054i | ||||
\(484\) | 6.66402 | + | 8.75162i | 0.302910 | + | 0.397801i | ||||
\(485\) | −11.8702 | − | 10.2250i | −0.538997 | − | 0.464294i | ||||
\(486\) | 18.0681 | − | 24.8685i | 0.819583 | − | 1.12806i | ||||
\(487\) | −2.61310 | + | 1.33144i | −0.118411 | + | 0.0603334i | −0.512193 | − | 0.858871i | \(-0.671167\pi\) |
0.393782 | + | 0.919204i | \(0.371167\pi\) | |||||||
\(488\) | −5.27698 | − | 2.68875i | −0.238878 | − | 0.121714i | ||||
\(489\) | 4.10918 | + | 5.65580i | 0.185824 | + | 0.255764i | ||||
\(490\) | −10.4203 | − | 0.864351i | −0.470742 | − | 0.0390474i | ||||
\(491\) | 12.6664 | − | 4.11555i | 0.571625 | − | 0.185732i | −0.00892018 | − | 0.999960i | \(-0.502839\pi\) |
0.580545 | + | 0.814228i | \(0.302839\pi\) | |||||||
\(492\) | −3.65348 | − | 7.17035i | −0.164711 | − | 0.323264i | ||||
\(493\) | −9.94529 | + | 1.57518i | −0.447913 | + | 0.0709425i | ||||
\(494\) | 6.55996 | 0.295147 | ||||||||
\(495\) | −27.9996 | + | 46.4194i | −1.25849 | + | 2.08640i | ||||
\(496\) | 2.87733 | 0.129196 | ||||||||
\(497\) | 13.3974 | − | 2.12193i | 0.600954 | − | 0.0951818i | ||||
\(498\) | 1.86447 | + | 3.65923i | 0.0835490 | + | 0.163974i | ||||
\(499\) | 22.2265 | − | 7.22182i | 0.994994 | − | 0.323293i | 0.234130 | − | 0.972205i | \(-0.424776\pi\) |
0.760863 | + | 0.648912i | \(0.224776\pi\) | |||||||
\(500\) | 8.40901 | + | 7.36808i | 0.376062 | + | 0.329511i | ||||
\(501\) | −40.4864 | − | 55.7247i | −1.80880 | − | 2.48960i | ||||
\(502\) | −7.50572 | − | 3.82436i | −0.334997 | − | 0.170689i | ||||
\(503\) | 20.7030 | − | 10.5487i | 0.923103 | − | 0.470344i | 0.0732197 | − | 0.997316i | \(-0.476673\pi\) |
0.849883 | + | 0.526972i | \(0.176673\pi\) | |||||||
\(504\) | −6.54977 | + | 9.01498i | −0.291750 | + | 0.401559i | ||||
\(505\) | 2.92410 | + | 39.2721i | 0.130121 | + | 1.74758i | ||||
\(506\) | −13.5902 | + | 4.58521i | −0.604158 | + | 0.203837i | ||||
\(507\) | −26.9714 | − | 26.9714i | −1.19784 | − | 1.19784i | ||||
\(508\) | −2.65395 | − | 16.7564i | −0.117750 | − | 0.743444i | ||||
\(509\) | −21.9064 | − | 7.11784i | −0.970986 | − | 0.315493i | −0.219772 | − | 0.975551i | \(-0.570531\pi\) |
−0.751214 | + | 0.660059i | \(0.770531\pi\) | |||||||
\(510\) | −6.17147 | + | 14.7232i | −0.273277 | + | 0.651956i | ||||
\(511\) | 14.0676 | − | 10.2207i | 0.622314 | − | 0.452138i | ||||
\(512\) | −0.156434 | + | 0.987688i | −0.00691349 | + | 0.0436501i | ||||
\(513\) | 38.9316 | − | 76.4075i | 1.71887 | − | 3.37347i | ||||
\(514\) | −3.24457 | + | 9.98577i | −0.143112 | + | 0.440454i | ||||
\(515\) | 6.99144 | − | 1.64733i | 0.308080 | − | 0.0725899i | ||||
\(516\) | 29.1050i | 1.28127i | ||||||||
\(517\) | −14.7217 | − | 2.16238i | −0.647460 | − | 0.0951014i | ||||
\(518\) | −1.50037 | + | 1.50037i | −0.0659223 | + | 0.0659223i | ||||
\(519\) | −34.2716 | − | 24.8998i | −1.50436 | − | 1.09298i | ||||
\(520\) | −2.29926 | − | 0.562275i | −0.100829 | − | 0.0246574i | ||||
\(521\) | −9.62530 | − | 29.6236i | −0.421692 | − | 1.29783i | −0.906127 | − | 0.423007i | \(-0.860975\pi\) |
0.484435 | − | 0.874827i | \(-0.339025\pi\) | |||||||
\(522\) | −32.6944 | − | 5.17828i | −1.43099 | − | 0.226647i | ||||
\(523\) | 5.13797 | + | 0.813774i | 0.224668 | + | 0.0355838i | 0.267753 | − | 0.963488i | \(-0.413719\pi\) |
−0.0430856 | + | 0.999071i | \(0.513719\pi\) | |||||||
\(524\) | −3.02111 | − | 9.29801i | −0.131978 | − | 0.406185i | ||||
\(525\) | 24.1393 | + | 4.03239i | 1.05352 | + | 0.175988i | ||||
\(526\) | −3.67174 | − | 2.66768i | −0.160096 | − | 0.116316i | ||||
\(527\) | 4.52395 | − | 4.52395i | 0.197067 | − | 0.197067i | ||||
\(528\) | 4.94099 | + | 9.43362i | 0.215029 | + | 0.410546i | ||||
\(529\) | 4.29842i | 0.186888i | ||||||||
\(530\) | 4.47432 | − | 7.23275i | 0.194352 | − | 0.314170i | ||||
\(531\) | 10.1452 | − | 31.2236i | 0.440263 | − | 1.35499i | ||||
\(532\) | −4.28884 | + | 8.41733i | −0.185945 | + | 0.364938i | ||||
\(533\) | 0.415035 | − | 2.62043i | 0.0179772 | − | 0.113503i | ||||
\(534\) | 27.4098 | − | 19.9144i | 1.18614 | − | 0.861781i | ||||
\(535\) | 34.0634 | + | 14.2782i | 1.47269 | + | 0.617301i | ||||
\(536\) | −7.27342 | − | 2.36328i | −0.314164 | − | 0.102078i | ||||
\(537\) | 6.80704 | + | 42.9779i | 0.293745 | + | 1.85463i | ||||
\(538\) | 18.3155 | + | 18.3155i | 0.789636 | + | 0.789636i | ||||
\(539\) | 0.174297 | + | 15.5079i | 0.00750749 | + | 0.667973i | ||||
\(540\) | −20.1946 | + | 23.4438i | −0.869037 | + | 1.00886i | ||||
\(541\) | 7.63567 | − | 10.5096i | 0.328283 | − | 0.451843i | −0.612690 | − | 0.790323i | \(-0.709913\pi\) |
0.940974 | + | 0.338480i | \(0.109913\pi\) | |||||||
\(542\) | −19.1509 | + | 9.75785i | −0.822600 | + | 0.419135i | ||||
\(543\) | 49.3371 | + | 25.1385i | 2.11726 | + | 1.07880i | ||||
\(544\) | 1.30696 | + | 1.79888i | 0.0560354 | + | 0.0771262i | ||||
\(545\) | 3.22177 | − | 2.72822i | 0.138005 | − | 0.116864i | ||||
\(546\) | −4.92780 | + | 1.60114i | −0.210890 | + | 0.0685224i | ||||
\(547\) | 2.13624 | + | 4.19261i | 0.0913391 | + | 0.179263i | 0.932156 | − | 0.362056i | \(-0.117925\pi\) |
−0.840817 | + | 0.541319i | \(0.817925\pi\) | |||||||
\(548\) | −2.44036 | + | 0.386515i | −0.104247 | + | 0.0165111i | ||||
\(549\) | −43.2916 | −1.84764 | ||||||||
\(550\) | 9.70971 | − | 13.4433i | 0.414024 | − | 0.573223i | ||||
\(551\) | −28.0634 | −1.19554 | ||||||||
\(552\) | −13.7146 | + | 2.17217i | −0.583731 | + | 0.0924538i | ||||
\(553\) | −4.01362 | − | 7.87716i | −0.170676 | − | 0.334971i | ||||
\(554\) | 13.0595 | − | 4.24329i | 0.554845 | − | 0.180280i | ||||
\(555\) | −7.62634 | + | 6.45806i | −0.323720 | + | 0.274129i | ||||
\(556\) | −4.41597 | − | 6.07806i | −0.187279 | − | 0.257767i | ||||
\(557\) | −29.1897 | − | 14.8729i | −1.23681 | − | 0.630185i | −0.291564 | − | 0.956551i | \(-0.594176\pi\) |
−0.945243 | + | 0.326366i | \(0.894176\pi\) | |||||||
\(558\) | 18.7400 | − | 9.54851i | 0.793328 | − | 0.404221i | ||||
\(559\) | −5.63999 | + | 7.76278i | −0.238546 | + | 0.328331i | ||||
\(560\) | 2.22471 | − | 2.58266i | 0.0940112 | − | 0.109137i | ||||
\(561\) | 22.6008 | + | 7.06365i | 0.954209 | + | 0.298228i | ||||
\(562\) | −7.00467 | − | 7.00467i | −0.295474 | − | 0.295474i | ||||
\(563\) | −0.520168 | − | 3.28421i | −0.0219225 | − | 0.138413i | 0.974299 | − | 0.225257i | \(-0.0723220\pi\) |
−0.996222 | + | 0.0868434i | \(0.972322\pi\) | |||||||
\(564\) | −13.7002 | − | 4.45146i | −0.576882 | − | 0.187440i | ||||
\(565\) | −8.22698 | − | 3.44847i | −0.346112 | − | 0.145078i | ||||
\(566\) | 1.66646 | − | 1.21075i | 0.0700464 | − | 0.0508917i | ||||
\(567\) | −5.36627 | + | 33.8813i | −0.225362 | + | 1.42288i | ||||
\(568\) | 4.03960 | − | 7.92816i | 0.169498 | − | 0.332658i | ||||
\(569\) | −2.18501 | + | 6.72478i | −0.0916005 | + | 0.281917i | −0.986353 | − | 0.164645i | \(-0.947352\pi\) |
0.894752 | + | 0.446563i | \(0.147352\pi\) | |||||||
\(570\) | −23.4075 | + | 37.8383i | −0.980432 | + | 1.58487i | ||||
\(571\) | − | 24.2620i | − | 1.01533i | −0.861553 | − | 0.507667i | \(-0.830508\pi\) | ||
0.861553 | − | 0.507667i | \(-0.169492\pi\) | |||||||
\(572\) | −0.510212 | + | 3.47358i | −0.0213330 | + | 0.145238i | ||||
\(573\) | −28.5908 | + | 28.5908i | −1.19440 | + | 1.19440i | ||||
\(574\) | 3.09102 | + | 2.24576i | 0.129017 | + | 0.0937362i | ||||
\(575\) | 12.5614 | + | 17.5997i | 0.523847 | + | 0.733959i | ||||
\(576\) | 2.25882 | + | 6.95193i | 0.0941175 | + | 0.289664i | ||||
\(577\) | 6.36086 | + | 1.00746i | 0.264806 | + | 0.0419412i | 0.287426 | − | 0.957803i | \(-0.407201\pi\) |
−0.0226195 | + | 0.999744i | \(0.507201\pi\) | |||||||
\(578\) | −11.9075 | − | 1.88596i | −0.495286 | − | 0.0784455i | ||||
\(579\) | 3.80544 | + | 11.7119i | 0.158149 | + | 0.486731i | ||||
\(580\) | 9.83618 | + | 2.40540i | 0.408425 | + | 0.0998787i | ||||
\(581\) | −1.57744 | − | 1.14607i | −0.0654430 | − | 0.0475471i | ||||
\(582\) | −15.9077 | + | 15.9077i | −0.659394 | + | 0.659394i | ||||
\(583\) | −11.3034 | − | 5.60028i | −0.468141 | − | 0.231940i | ||||
\(584\) | − | 11.4066i | − | 0.472007i | ||||||
\(585\) | −16.8410 | + | 3.96808i | −0.696289 | + | 0.164060i | ||||
\(586\) | 6.06998 | − | 18.6815i | 0.250748 | − | 0.771724i | ||||
\(587\) | 2.50306 | − | 4.91253i | 0.103312 | − | 0.202762i | −0.833564 | − | 0.552423i | \(-0.813703\pi\) |
0.936876 | + | 0.349661i | \(0.113703\pi\) | |||||||
\(588\) | −2.34877 | + | 14.8295i | −0.0968615 | + | 0.611560i | ||||
\(589\) | 14.4256 | − | 10.4808i | 0.594395 | − | 0.431853i | ||||
\(590\) | −3.88240 | + | 9.26221i | −0.159836 | + | 0.381319i | ||||
\(591\) | −31.9583 | − | 10.3839i | −1.31459 | − | 0.427136i | ||||
\(592\) | 0.217739 | + | 1.37475i | 0.00894903 | + | 0.0565019i | ||||
\(593\) | −11.4901 | − | 11.4901i | −0.471841 | − | 0.471841i | 0.430669 | − | 0.902510i | \(-0.358278\pi\) |
−0.902510 | + | 0.430669i | \(0.858278\pi\) | |||||||
\(594\) | 37.4307 | + | 26.5574i | 1.53580 | + | 1.08967i | ||||
\(595\) | −0.562787 | − | 7.55850i | −0.0230720 | − | 0.309868i | ||||
\(596\) | 0.0195887 | − | 0.0269615i | 0.000802383 | − | 0.00110439i | ||||
\(597\) | 26.0555 | − | 13.2759i | 1.06638 | − | 0.543348i | ||||
\(598\) | −4.07883 | − | 2.07827i | −0.166796 | − | 0.0849867i | ||||
\(599\) | 24.2507 | + | 33.3782i | 0.990856 | + | 1.36380i | 0.930771 | + | 0.365603i | \(0.119137\pi\) |
0.0600854 | + | 0.998193i | \(0.480863\pi\) | |||||||
\(600\) | 11.4475 | − | 11.2559i | 0.467344 | − | 0.459522i | ||||
\(601\) | 42.1453 | − | 13.6938i | 1.71914 | − | 0.558583i | 0.727330 | − | 0.686288i | \(-0.240761\pi\) |
0.991812 | + | 0.127705i | \(0.0407609\pi\) | |||||||
\(602\) | −6.27334 | − | 12.3121i | −0.255682 | − | 0.501804i | ||||
\(603\) | −55.2143 | + | 8.74509i | −2.24850 | + | 0.356127i | ||||
\(604\) | −21.1850 | −0.862006 | ||||||||
\(605\) | −21.2033 | − | 12.4667i | −0.862037 | − | 0.506845i | ||||
\(606\) | 56.5487 | 2.29713 | ||||||||
\(607\) | −16.6706 | + | 2.64036i | −0.676638 | + | 0.107169i | −0.485290 | − | 0.874353i | \(-0.661286\pi\) |
−0.191348 | + | 0.981522i | \(0.561286\pi\) | |||||||
\(608\) | 2.81341 | + | 5.52162i | 0.114099 | + | 0.223931i | ||||
\(609\) | 21.0810 | − | 6.84963i | 0.854245 | − | 0.277561i | ||||
\(610\) | 13.1978 | + | 1.09474i | 0.534362 | + | 0.0443246i | ||||
\(611\) | −2.79146 | − | 3.84212i | −0.112930 | − | 0.155435i | ||||
\(612\) | 14.4818 | + | 7.37886i | 0.585394 | + | 0.298273i | ||||
\(613\) | −21.6696 | + | 11.0412i | −0.875225 | + | 0.445949i | −0.833074 | − | 0.553162i | \(-0.813421\pi\) |
−0.0421512 | + | 0.999111i | \(0.513421\pi\) | |||||||
\(614\) | 6.94359 | − | 9.55703i | 0.280221 | − | 0.385691i | ||||
\(615\) | 13.6338 | + | 11.7443i | 0.549770 | + | 0.473574i | ||||
\(616\) | −4.12350 | − | 2.92567i | −0.166141 | − | 0.117878i | ||||
\(617\) | −2.46606 | − | 2.46606i | −0.0992799 | − | 0.0992799i | 0.655722 | − | 0.755002i | \(-0.272364\pi\) |
−0.755002 | + | 0.655722i | \(0.772364\pi\) | |||||||
\(618\) | −1.61350 | − | 10.1873i | −0.0649046 | − | 0.409791i | ||||
\(619\) | −28.7652 | − | 9.34637i | −1.15617 | − | 0.375662i | −0.332706 | − | 0.943031i | \(-0.607962\pi\) |
−0.823464 | + | 0.567369i | \(0.807962\pi\) | |||||||
\(620\) | −5.95449 | + | 2.43705i | −0.239138 | + | 0.0978741i | ||||
\(621\) | −48.4135 | + | 35.1745i | −1.94277 | + | 1.41150i | ||||
\(622\) | 2.17534 | − | 13.7346i | 0.0872233 | − | 0.550706i | ||||
\(623\) | −7.30265 | + | 14.3323i | −0.292574 | + | 0.574210i | ||||
\(624\) | −1.05032 | + | 3.23255i | −0.0420464 | + | 0.129406i | ||||
\(625\) | −23.6426 | − | 8.12560i | −0.945706 | − | 0.325024i | ||||
\(626\) | 30.1918i | 1.20671i | ||||||||
\(627\) | 59.1342 | + | 29.2980i | 2.36159 | + | 1.17005i | ||||
\(628\) | 1.38910 | − | 1.38910i | 0.0554312 | − | 0.0554312i | ||||
\(629\) | 2.50383 | + | 1.81914i | 0.0998344 | + | 0.0725339i | ||||
\(630\) | 5.91889 | − | 24.2036i | 0.235814 | − | 0.964294i | ||||
\(631\) | 9.75833 | + | 30.0330i | 0.388473 | + | 1.19560i | 0.933929 | + | 0.357458i | \(0.116356\pi\) |
−0.545456 | + | 0.838139i | \(0.683644\pi\) | |||||||
\(632\) | −5.72797 | − | 0.907222i | −0.227847 | − | 0.0360874i | ||||
\(633\) | 79.5165 | + | 12.5942i | 3.16050 | + | 0.500573i | ||||
\(634\) | −9.47527 | − | 29.1619i | −0.376311 | − | 1.15817i | ||||
\(635\) | 19.6846 | + | 32.4286i | 0.781158 | + | 1.28689i | ||||
\(636\) | −9.88010 | − | 7.17831i | −0.391771 | − | 0.284639i | ||||
\(637\) | −3.50014 | + | 3.50014i | −0.138681 | + | 0.138681i | ||||
\(638\) | 2.18268 | − | 14.8599i | 0.0864129 | − | 0.588308i | ||||
\(639\) | − | 65.0416i | − | 2.57300i | ||||||
\(640\) | −0.512821 | − | 2.17647i | −0.0202710 | − | 0.0860325i | ||||
\(641\) | −1.51513 | + | 4.66309i | −0.0598440 | + | 0.184181i | −0.976509 | − | 0.215474i | \(-0.930870\pi\) |
0.916665 | + | 0.399655i | \(0.130870\pi\) | |||||||
\(642\) | 24.0781 | − | 47.2558i | 0.950285 | − | 1.86504i | ||||
\(643\) | 2.56190 | − | 16.1752i | 0.101031 | − | 0.637888i | −0.884259 | − | 0.466998i | \(-0.845336\pi\) |
0.985290 | − | 0.170890i | \(-0.0546643\pi\) | |||||||
\(644\) | 5.33341 | − | 3.87495i | 0.210166 | − | 0.152694i | ||||
\(645\) | −24.6514 | − | 60.2312i | −0.970646 | − | 2.37160i | ||||
\(646\) | 13.1050 | + | 4.25806i | 0.515608 | + | 0.167531i | ||||
\(647\) | 6.72843 | + | 42.4816i | 0.264522 | + | 1.67012i | 0.659707 | + | 0.751523i | \(0.270681\pi\) |
−0.395185 | + | 0.918602i | \(0.629319\pi\) | |||||||
\(648\) | 15.9117 | + | 15.9117i | 0.625071 | + | 0.625071i | ||||
\(649\) | 14.2179 | + | 4.44366i | 0.558102 | + | 0.174429i | ||||
\(650\) | 5.23444 | − | 0.783833i | 0.205312 | − | 0.0307444i | ||||
\(651\) | −8.27826 | + | 11.3940i | −0.324451 | + | 0.446568i | ||||
\(652\) | −1.93997 | + | 0.988463i | −0.0759750 | + | 0.0387112i | ||||
\(653\) | −3.03452 | − | 1.54616i | −0.118750 | − | 0.0605061i | 0.393606 | − | 0.919279i | \(-0.371227\pi\) |
−0.512356 | + | 0.858773i | \(0.671227\pi\) | |||||||
\(654\) | −3.56325 | − | 4.90440i | −0.139334 | − | 0.191777i | ||||
\(655\) | 14.1273 | + | 16.6829i | 0.551998 | + | 0.651856i | ||||
\(656\) | 2.38365 | − | 0.774496i | 0.0930660 | − | 0.0302390i | ||||
\(657\) | −37.8530 | − | 74.2907i | −1.47679 | − | 2.89836i | ||||
\(658\) | 6.75499 | − | 1.06989i | 0.263337 | − | 0.0417085i | ||||
\(659\) | −1.70430 | −0.0663902 | −0.0331951 | − | 0.999449i | \(-0.510568\pi\) | ||||
−0.0331951 | + | 0.999449i | \(0.510568\pi\) | |||||||
\(660\) | −18.2152 | − | 15.3375i | −0.709027 | − | 0.597010i | ||||
\(661\) | −3.81557 | −0.148409 | −0.0742043 | − | 0.997243i | \(-0.523642\pi\) | ||||
−0.0742043 | + | 0.997243i | \(0.523642\pi\) | |||||||
\(662\) | −14.0767 | + | 2.22953i | −0.547108 | + | 0.0866533i | ||||
\(663\) | 3.43107 | + | 6.73385i | 0.133252 | + | 0.261521i | ||||
\(664\) | −1.21644 | + | 0.395247i | −0.0472072 | + | 0.0153386i | ||||
\(665\) | 1.74622 | − | 21.0518i | 0.0677156 | − | 0.816354i | ||||
\(666\) | 5.98029 | + | 8.23116i | 0.231732 | + | 0.318951i | ||||
\(667\) | 17.4491 | + | 8.89078i | 0.675634 | + | 0.344252i | ||||
\(668\) | 19.1138 | − | 9.73899i | 0.739537 | − | 0.376813i | ||||
\(669\) | −9.41064 | + | 12.9526i | −0.363836 | + | 0.500778i | ||||
\(670\) | 17.0536 | − | 1.26977i | 0.658839 | − | 0.0490555i | ||||
\(671\) | −0.220754 | − | 19.6414i | −0.00852212 | − | 0.758249i | ||||
\(672\) | −3.46111 | − | 3.46111i | −0.133515 | − | 0.133515i | ||||
\(673\) | 4.12434 | + | 26.0401i | 0.158982 | + | 1.00377i | 0.930161 | + | 0.367153i | \(0.119667\pi\) |
−0.771179 | + | 0.636619i | \(0.780333\pi\) | |||||||
\(674\) | −13.0660 | − | 4.24541i | −0.503285 | − | 0.163527i | ||||
\(675\) | 21.9352 | − | 65.6203i | 0.844288 | − | 2.52572i | ||||
\(676\) | 9.61068 | − | 6.98256i | 0.369641 | − | 0.268560i | ||||
\(677\) | −1.85111 | + | 11.6875i | −0.0711440 | + | 0.449185i | 0.926242 | + | 0.376929i | \(0.123020\pi\) |
−0.997386 | + | 0.0722563i | \(0.976980\pi\) | |||||||
\(678\) | −5.81532 | + | 11.4132i | −0.223336 | + | 0.438321i | ||||
\(679\) | 3.30057 | − | 10.1581i | 0.126664 | − | 0.389832i | ||||
\(680\) | −4.22830 | − | 2.61571i | −0.162148 | − | 0.100308i | ||||
\(681\) | − | 6.55262i | − | 0.251097i | ||||||
\(682\) | 4.42773 | + | 8.45367i | 0.169546 | + | 0.323708i | ||||
\(683\) | −19.2371 | + | 19.2371i | −0.736087 | + | 0.736087i | −0.971818 | − | 0.235731i | \(-0.924252\pi\) |
0.235731 | + | 0.971818i | \(0.424252\pi\) | |||||||
\(684\) | 36.6474 | + | 26.6259i | 1.40125 | + | 1.01807i | ||||
\(685\) | 4.72283 | − | 2.86681i | 0.180450 | − | 0.109535i | ||||
\(686\) | −5.50033 | − | 16.9283i | −0.210003 | − | 0.646324i | ||||
\(687\) | −4.83368 | − | 0.765580i | −0.184416 | − | 0.0292087i | ||||
\(688\) | −8.95290 | − | 1.41800i | −0.341326 | − | 0.0540608i | ||||
\(689\) | −1.24417 | − | 3.82916i | −0.0473990 | − | 0.145879i | ||||
\(690\) | 26.5418 | − | 16.1112i | 1.01043 | − | 0.613342i | ||||
\(691\) | −2.86279 | − | 2.07994i | −0.108906 | − | 0.0791246i | 0.531999 | − | 0.846745i | \(-0.321441\pi\) |
−0.640905 | + | 0.767620i | \(0.721441\pi\) | |||||||
\(692\) | 9.32909 | − | 9.32909i | 0.354639 | − | 0.354639i | ||||
\(693\) | −36.5652 | − | 5.37084i | −1.38900 | − | 0.204021i | ||||
\(694\) | − | 17.7347i | − | 0.673199i | ||||||
\(695\) | 14.2866 | + | 8.83799i | 0.541922 | + | 0.335244i | ||||
\(696\) | 4.49324 | − | 13.8288i | 0.170316 | − | 0.524178i | ||||
\(697\) | 2.53004 | − | 4.96548i | 0.0958320 | − | 0.188081i | ||||
\(698\) | −2.78517 | + | 17.5849i | −0.105420 | + | 0.665596i | ||||
\(699\) | −57.6408 | + | 41.8785i | −2.18018 | + | 1.58399i | ||||
\(700\) | −2.41647 | + | 7.22897i | −0.0913338 | + | 0.273229i | ||||
\(701\) | 37.5991 | + | 12.2167i | 1.42010 | + | 0.461418i | 0.915634 | − | 0.402013i | \(-0.131689\pi\) |
0.504466 | + | 0.863432i | \(0.331689\pi\) | |||||||
\(702\) | 2.29149 | + | 14.4679i | 0.0864867 | + | 0.546055i | ||||
\(703\) | 6.09923 | + | 6.09923i | 0.230037 | + | 0.230037i | ||||
\(704\) | −3.14258 | + | 1.06028i | −0.118440 | + | 0.0399607i | ||||
\(705\) | 32.1221 | − | 2.39173i | 1.20979 | − | 0.0900779i | ||||
\(706\) | −10.3053 | + | 14.1841i | −0.387847 | + | 0.533826i | ||||
\(707\) | −23.9215 | + | 12.1886i | −0.899660 | + | 0.458400i | ||||
\(708\) | 12.8494 | + | 6.54708i | 0.482908 | + | 0.246054i | ||||
\(709\) | 23.7291 | + | 32.6603i | 0.891166 | + | 1.22658i | 0.973201 | + | 0.229955i | \(0.0738580\pi\) |
−0.0820353 | + | 0.996629i | \(0.526142\pi\) | |||||||
\(710\) | −1.64474 | + | 19.8284i | −0.0617260 | + | 0.744147i | ||||
\(711\) | −40.3169 | + | 13.0997i | −1.51200 | + | 0.491279i | ||||
\(712\) | 4.79041 | + | 9.40171i | 0.179528 | + | 0.352344i | ||||
\(713\) | −12.2899 | + | 1.94653i | −0.460261 | + | 0.0728982i | ||||
\(714\) | −10.8836 | −0.407310 | ||||||||
\(715\) | −1.88620 | − | 7.62054i | −0.0705398 | − | 0.284992i | ||||
\(716\) | −13.5520 | −0.506461 | ||||||||
\(717\) | 78.5987 | − | 12.4488i | 2.93532 | − | 0.464910i | ||||
\(718\) | 3.48892 | + | 6.84740i | 0.130205 | + | 0.255543i | ||||
\(719\) | 6.32991 | − | 2.05671i | 0.236066 | − | 0.0767024i | −0.188595 | − | 0.982055i | \(-0.560393\pi\) |
0.424661 | + | 0.905353i | \(0.360393\pi\) | |||||||
\(720\) | −10.5627 | − | 12.4735i | −0.393648 | − | 0.464860i | ||||
\(721\) | 2.87833 | + | 3.96168i | 0.107195 | + | 0.147541i | ||||
\(722\) | 17.2887 | + | 8.80903i | 0.643418 | + | 0.327838i | ||||
\(723\) | 0.160948 | − | 0.0820071i | 0.00598572 | − | 0.00304988i | ||||
\(724\) | −10.1365 | + | 13.9517i | −0.376720 | + | 0.518511i | ||||
\(725\) | −22.3928 | + | 3.35322i | −0.831648 | + | 0.124535i | ||||
\(726\) | −20.1129 | + | 29.0335i | −0.746459 | + | 1.07754i | ||||
\(727\) | 13.3487 | + | 13.3487i | 0.495074 | + | 0.495074i | 0.909901 | − | 0.414826i | \(-0.136158\pi\) |
−0.414826 | + | 0.909901i | \(0.636158\pi\) | |||||||
\(728\) | −0.252439 | − | 1.59384i | −0.00935600 | − | 0.0590715i | ||||
\(729\) | 29.6653 | + | 9.63884i | 1.09871 | + | 0.356994i | ||||
\(730\) | 9.66115 | + | 23.6053i | 0.357575 | + | 0.873671i | ||||
\(731\) | −16.3059 | + | 11.8469i | −0.603096 | + | 0.438175i | ||||
\(732\) | 2.97481 | − | 18.7822i | 0.109952 | − | 0.694211i | ||||
\(733\) | −12.6624 | + | 24.8515i | −0.467698 | + | 0.917909i | 0.529861 | + | 0.848084i | \(0.322244\pi\) |
−0.997559 | + | 0.0698250i | \(0.977756\pi\) | |||||||
\(734\) | −11.1829 | + | 34.4175i | −0.412769 | + | 1.27037i | ||||
\(735\) | −7.69969 | − | 32.6783i | −0.284007 | − | 1.20536i | ||||
\(736\) | − | 4.32453i | − | 0.159404i | ||||||
\(737\) | −4.24920 | − | 25.0062i | −0.156521 | − | 0.921115i | ||||
\(738\) | 12.9545 | − | 12.9545i | 0.476862 | − | 0.476862i | ||||
\(739\) | 8.88327 | + | 6.45407i | 0.326776 | + | 0.237417i | 0.739061 | − | 0.673638i | \(-0.235269\pi\) |
−0.412285 | + | 0.911055i | \(0.635269\pi\) | |||||||
\(740\) | −1.61499 | − | 2.66056i | −0.0593682 | − | 0.0978041i | ||||
\(741\) | 6.50889 | + | 20.0323i | 0.239110 | + | 0.735905i | ||||
\(742\) | 5.72675 | + | 0.907029i | 0.210236 | + | 0.0332981i | ||||
\(743\) | −23.8652 | − | 3.77987i | −0.875527 | − | 0.138670i | −0.297534 | − | 0.954711i | \(-0.596164\pi\) |
−0.577994 | + | 0.816041i | \(0.696164\pi\) | |||||||
\(744\) | 2.85493 | + | 8.78656i | 0.104667 | + | 0.322131i | ||||
\(745\) | −0.0177019 | + | 0.0723867i | −0.000648546 | + | 0.00265204i | ||||
\(746\) | 13.1974 | + | 9.58850i | 0.483193 | + | 0.351060i | ||||
\(747\) | −6.61105 | + | 6.61105i | −0.241886 | + | 0.241886i | ||||
\(748\) | −3.27395 | + | 6.60805i | −0.119708 | + | 0.241614i | ||||
\(749\) | 25.1802i | 0.920065i | ||||||||
\(750\) | −14.1565 | + | 32.9895i | −0.516923 | + | 1.20460i | ||||
\(751\) | −15.1449 | + | 46.6112i | −0.552645 | + | 1.70087i | 0.149437 | + | 0.988771i | \(0.452254\pi\) |
−0.702082 | + | 0.712096i | \(0.747746\pi\) | |||||||
\(752\) | 2.03678 | − | 3.99740i | 0.0742737 | − | 0.145770i | ||||
\(753\) | 4.23123 | − | 26.7150i | 0.154195 | − | 0.973547i | ||||
\(754\) | 3.87818 | − | 2.81766i | 0.141235 | − | 0.102613i | ||||
\(755\) | 43.8413 | − | 17.9433i | 1.59555 | − | 0.653024i | ||||
\(756\) | −20.0624 | − | 6.51868i | −0.729664 | − | 0.237082i | ||||
\(757\) | −7.91360 | − | 49.9645i | −0.287625 | − | 1.81599i | −0.532493 | − | 0.846434i | \(-0.678745\pi\) |
0.244869 | − | 0.969556i | \(-0.421255\pi\) | |||||||
\(758\) | −4.65265 | − | 4.65265i | −0.168992 | − | 0.168992i | ||||
\(759\) | −27.4863 | − | 36.9511i | −0.997690 | − | 1.34124i | ||||
\(760\) | −10.4989 | − | 9.04381i | −0.380836 | − | 0.328054i | ||||
\(761\) | 18.7749 | − | 25.8415i | 0.680591 | − | 0.936753i | −0.319350 | − | 0.947637i | \(-0.603464\pi\) |
0.999941 | + | 0.0108837i | \(0.00346445\pi\) | |||||||
\(762\) | 48.5360 | − | 24.7303i | 1.75827 | − | 0.895886i | ||||
\(763\) | 2.56445 | + | 1.30665i | 0.0928392 | + | 0.0473040i | ||||
\(764\) | −7.40180 | − | 10.1877i | −0.267788 | − | 0.368578i | ||||
\(765\) | −36.2192 | − | 3.00434i | −1.30951 | − | 0.108622i | ||||
\(766\) | −27.8369 | + | 9.04477i | −1.00579 | + | 0.326801i | ||||
\(767\) | 2.15844 | + | 4.23618i | 0.0779368 | + | 0.152960i | ||||
\(768\) | −3.17134 | + | 0.502291i | −0.114436 | + | 0.0181249i | ||||
\(769\) | −41.4875 | −1.49608 | −0.748039 | − | 0.663655i | \(-0.769004\pi\) | ||||
−0.748039 | + | 0.663655i | \(0.769004\pi\) | |||||||
\(770\) | 11.0114 | + | 2.56198i | 0.396822 | + | 0.0923275i | ||||
\(771\) | −33.7131 | −1.21415 | ||||||||
\(772\) | −3.78808 | + | 0.599973i | −0.136336 | + | 0.0215935i | ||||
\(773\) | 9.90821 | + | 19.4460i | 0.356373 | + | 0.699422i | 0.997696 | − | 0.0678495i | \(-0.0216138\pi\) |
−0.641322 | + | 0.767272i | \(0.721614\pi\) | |||||||
\(774\) | −63.0158 | + | 20.4751i | −2.26506 | + | 0.735962i | ||||
\(775\) | 10.2584 | − | 10.0867i | 0.368492 | − | 0.362325i | ||||
\(776\) | −4.11829 | − | 5.66834i | −0.147838 | − | 0.203482i | ||||
\(777\) | −6.07038 | − | 3.09301i | −0.217774 | − | 0.110961i | ||||
\(778\) | 3.95348 | − | 2.01440i | 0.141739 | − | 0.0722197i | ||||
\(779\) | 9.12937 | − | 12.5655i | 0.327094 | − | 0.450206i | ||||
\(780\) | −0.564328 | − | 7.57920i | −0.0202062 | − | 0.271379i | ||||
\(781\) | 29.5094 | − | 0.331662i | 1.05593 | − | 0.0118678i | ||||
\(782\) | −6.79935 | − | 6.79935i | −0.243144 | − | 0.243144i | ||||
\(783\) | −9.80293 | − | 61.8933i | −0.350328 | − | 2.21189i | ||||
\(784\) | −4.44724 | − | 1.44500i | −0.158830 | − | 0.0516070i | ||||
\(785\) | −1.69813 | + | 4.05122i | −0.0606089 | + | 0.144594i | ||||
\(786\) | 25.3959 | − | 18.4512i | 0.905843 | − | 0.658134i | ||||
\(787\) | 4.74219 | − | 29.9410i | 0.169041 | − | 1.06728i | −0.746596 | − | 0.665277i | \(-0.768313\pi\) |
0.915637 | − | 0.402005i | \(-0.131687\pi\) | |||||||
\(788\) | 4.75118 | − | 9.32471i | 0.169254 | − | 0.332179i | ||||
\(789\) | 4.50319 | − | 13.8594i | 0.160318 | − | 0.493407i | ||||
\(790\) | 12.6222 | − | 2.97404i | 0.449076 | − | 0.105812i | ||||
\(791\) | − | 6.08151i | − | 0.216234i | ||||||
\(792\) | −16.9490 | + | 17.3343i | −0.602257 | + | 0.615949i | ||||
\(793\) | 4.43308 | − | 4.43308i | 0.157423 | − | 0.157423i | ||||
\(794\) | −7.54381 | − | 5.48090i | −0.267720 | − | 0.194510i | ||||
\(795\) | 26.5263 | + | 6.48689i | 0.940790 | + | 0.230066i | ||||
\(796\) | 2.81435 | + | 8.66167i | 0.0997519 | + | 0.307005i | ||||
\(797\) | 53.0278 | + | 8.39878i | 1.87834 | + | 0.297500i | 0.987598 | − | 0.157004i | \(-0.0501837\pi\) |
0.890744 | + | 0.454505i | \(0.150184\pi\) | |||||||
\(798\) | −29.9596 | − | 4.74514i | −1.06056 | − | 0.167976i | ||||
\(799\) | −3.08264 | − | 9.48739i | −0.109056 | − | 0.335640i | ||||
\(800\) | 2.90469 | + | 4.06974i | 0.102696 | + | 0.143887i | ||||
\(801\) | 62.3997 | + | 45.3361i | 2.20479 | + | 1.60187i | ||||
\(802\) | 6.22783 | − | 6.22783i | 0.219912 | − | 0.219912i | ||||
\(803\) | 33.5128 | − | 17.5528i | 1.18264 | − | 0.619424i | ||||
\(804\) | − | 24.5559i | − | 0.866019i | ||||||
\(805\) | −7.75521 | + | 12.5363i | −0.273335 | + | 0.441847i | ||||
\(806\) | −0.941213 | + | 2.89676i | −0.0331528 | + | 0.102034i | ||||
\(807\) | −37.7574 | + | 74.1031i | −1.32912 | + | 2.60855i | ||||
\(808\) | −2.75506 | + | 17.3948i | −0.0969228 | + | 0.611947i | ||||
\(809\) | 25.4737 | − | 18.5077i | 0.895608 | − | 0.650697i | −0.0417260 | − | 0.999129i | \(-0.513286\pi\) |
0.937334 | + | 0.348432i | \(0.113286\pi\) | |||||||
\(810\) | −46.4054 | − | 19.4516i | −1.63052 | − | 0.683458i | ||||
\(811\) | −6.48163 | − | 2.10601i | −0.227601 | − | 0.0739520i | 0.192996 | − | 0.981199i | \(-0.438179\pi\) |
−0.420597 | + | 0.907247i | \(0.638179\pi\) | |||||||
\(812\) | 1.07993 | + | 6.81839i | 0.0378980 | + | 0.239279i | ||||
\(813\) | −48.7995 | − | 48.7995i | −1.71147 | − | 1.71147i | ||||
\(814\) | −3.70399 | + | 2.75524i | −0.129825 | + | 0.0965710i | ||||
\(815\) | 3.17746 | − | 3.68869i | 0.111301 | − | 0.129209i | ||||
\(816\) | −4.19648 | + | 5.77596i | −0.146906 | + | 0.202199i | ||||
\(817\) | −50.0507 | + | 25.5021i | −1.75105 | + | 0.892206i | ||||
\(818\) | −15.4990 | − | 7.89712i | −0.541908 | − | 0.276116i | ||||
\(819\) | −6.93333 | − | 9.54290i | −0.242270 | − | 0.333456i | ||||
\(820\) | −4.27686 | + | 3.62169i | −0.149355 | + | 0.126475i | ||||
\(821\) | −0.216685 | + | 0.0704052i | −0.00756235 | + | 0.00245716i | −0.312796 | − | 0.949820i | \(-0.601266\pi\) |
0.305233 | + | 0.952278i | \(0.401266\pi\) | |||||||
\(822\) | −3.60167 | − | 7.06867i | −0.125623 | − | 0.246548i | ||||
\(823\) | 22.6675 | − | 3.59018i | 0.790139 | − | 0.125146i | 0.251695 | − | 0.967807i | \(-0.419012\pi\) |
0.538445 | + | 0.842661i | \(0.319012\pi\) | |||||||
\(824\) | 3.21229 | 0.111905 | ||||||||
\(825\) | 50.6861 | + | 16.3122i | 1.76466 | + | 0.567916i | ||||
\(826\) | −6.84677 | −0.238229 | ||||||||
\(827\) | −39.9523 | + | 6.32782i | −1.38928 | + | 0.220040i | −0.805847 | − | 0.592124i | \(-0.798290\pi\) |
−0.583430 | + | 0.812164i | \(0.698290\pi\) | |||||||
\(828\) | −14.3511 | − | 28.1656i | −0.498735 | − | 0.978823i | ||||
\(829\) | 25.8477 | − | 8.39841i | 0.897726 | − | 0.291689i | 0.176428 | − | 0.984314i | \(-0.443546\pi\) |
0.721298 | + | 0.692625i | \(0.243546\pi\) | |||||||
\(830\) | 2.18260 | − | 1.84825i | 0.0757593 | − | 0.0641537i | ||||
\(831\) | 25.9156 | + | 35.6698i | 0.899004 | + | 1.23737i | ||||
\(832\) | −0.943185 | − | 0.480577i | −0.0326990 | − | 0.0166610i | ||||
\(833\) | −9.26422 | + | 4.72036i | −0.320986 | + | 0.163551i | ||||
\(834\) | 14.1791 | − | 19.5159i | 0.490982 | − | 0.675779i | ||||
\(835\) | −31.3064 | + | 36.3434i | −1.08340 | + | 1.25772i | ||||
\(836\) | −11.8933 | + | 16.7627i | −0.411338 | + | 0.579750i | ||||
\(837\) | 28.1543 | + | 28.1543i | 0.973154 | + | 0.973154i | ||||
\(838\) | −2.56576 | − | 16.1996i | −0.0886326 | − | 0.559604i | ||||
\(839\) | 20.9575 | + | 6.80951i | 0.723533 | + | 0.235090i | 0.647554 | − | 0.762019i | \(-0.275792\pi\) |
0.0759789 | + | 0.997109i | \(0.475792\pi\) | |||||||
\(840\) | 10.0941 | + | 4.23110i | 0.348279 | + | 0.145987i | ||||
\(841\) | 6.87075 | − | 4.99189i | 0.236922 | − | 0.172134i | ||||
\(842\) | −4.12580 | + | 26.0493i | −0.142185 | + | 0.897718i | ||||
\(843\) | 14.4402 | − | 28.3404i | 0.497346 | − | 0.976096i | ||||
\(844\) | −7.74813 | + | 23.8463i | −0.266701 | + | 0.820823i | ||||
\(845\) | −13.9747 | + | 22.5901i | −0.480744 | + | 0.777124i | ||||
\(846\) | − | 32.7941i | − | 1.12749i | ||||||
\(847\) | 2.25030 | − | 16.6171i | 0.0773212 | − | 0.570969i | ||||
\(848\) | 2.68946 | − | 2.68946i | 0.0923566 | − | 0.0923566i | ||||
\(849\) | 5.35078 | + | 3.88757i | 0.183638 | + | 0.133421i | ||||
\(850\) | 10.9657 | + | 1.83179i | 0.376121 | + | 0.0628298i | ||||
\(851\) | −1.86005 | − | 5.72466i | −0.0637619 | − | 0.196239i | ||||
\(852\) | 28.2185 | + | 4.46938i | 0.966751 | + | 0.153118i | ||||
\(853\) | −36.1266 | − | 5.72190i | −1.23695 | − | 0.195914i | −0.496508 | − | 0.868032i | \(-0.665385\pi\) |
−0.740444 | + | 0.672118i | \(0.765385\pi\) | |||||||
\(854\) | 2.78994 | + | 8.58655i | 0.0954697 | + | 0.293826i | ||||
\(855\) | −98.3915 | − | 24.0612i | −3.36492 | − | 0.822877i | ||||
\(856\) | 13.3632 | + | 9.70891i | 0.456744 | + | 0.331844i | ||||
\(857\) | 8.98140 | − | 8.98140i | 0.306799 | − | 0.306799i | −0.536868 | − | 0.843666i | \(-0.680393\pi\) |
0.843666 | + | 0.536868i | \(0.180393\pi\) | |||||||
\(858\) | −11.1136 | + | 1.88849i | −0.379411 | + | 0.0644719i | ||||
\(859\) | − | 54.6972i | − | 1.86624i | −0.359559 | − | 0.933122i | \(-0.617073\pi\) | ||
0.359559 | − | 0.933122i | \(-0.382927\pi\) | |||||||
\(860\) | 19.7286 | − | 4.64847i | 0.672740 | − | 0.158511i | ||||
\(861\) | −3.79096 | + | 11.6674i | −0.129196 | + | 0.397624i | ||||
\(862\) | 4.31372 | − | 8.46615i | 0.146926 | − | 0.288358i | ||||
\(863\) | −2.23202 | + | 14.0924i | −0.0759788 | + | 0.479711i | 0.920132 | + | 0.391607i | \(0.128081\pi\) |
−0.996111 | + | 0.0881040i | \(0.971919\pi\) | |||||||
\(864\) | −11.1951 | + | 8.13370i | −0.380864 | + | 0.276714i | ||||
\(865\) | −11.4045 | + | 27.2077i | −0.387765 | + | 0.925088i | ||||
\(866\) | 23.7208 | + | 7.70734i | 0.806064 | + | 0.261906i | ||||
\(867\) | −6.05557 | − | 38.2334i | −0.205658 | − | 1.29847i | ||||
\(868\) | −3.10158 | − | 3.10158i | −0.105274 | − | 0.105274i | ||||
\(869\) | −6.14895 | − | 18.2250i | −0.208589 | − | 0.618241i | ||||
\(870\) | 2.41418 | + | 32.4236i | 0.0818484 | + | 1.09926i | ||||
\(871\) | 4.75846 | − | 6.54946i | 0.161234 | − | 0.221920i | ||||
\(872\) | 1.68223 | − | 0.857140i | 0.0569676 | − | 0.0290264i | ||||
\(873\) | −45.6330 | − | 23.2512i | −1.54444 | − | 0.786932i | ||||
\(874\) | −15.7523 | − | 21.6812i | −0.532829 | − | 0.733376i | ||||
\(875\) | −1.12205 | − | 17.0067i | −0.0379322 | − | 0.574931i | ||||
\(876\) | 34.8324 | − | 11.3177i | 1.17688 | − | 0.382391i | ||||
\(877\) | 6.98490 | + | 13.7086i | 0.235863 | + | 0.462908i | 0.978351 | − | 0.206952i | \(-0.0663543\pi\) |
−0.742488 | + | 0.669860i | \(0.766354\pi\) | |||||||
\(878\) | −1.67033 | + | 0.264554i | −0.0563710 | + | 0.00892828i | ||||
\(879\) | 63.0707 | 2.12732 | ||||||||
\(880\) | 5.60537 | − | 4.85590i | 0.188957 | − | 0.163692i | ||||
\(881\) | −27.4651 | −0.925323 | −0.462662 | − | 0.886535i | \(-0.653106\pi\) | ||||
−0.462662 | + | 0.886535i | \(0.653106\pi\) | |||||||
\(882\) | −33.7601 | + | 5.34708i | −1.13676 | + | 0.180045i | ||||
\(883\) | 24.6520 | + | 48.3824i | 0.829607 | + | 1.62820i | 0.776932 | + | 0.629584i | \(0.216775\pi\) |
0.0526752 | + | 0.998612i | \(0.483225\pi\) | |||||||
\(884\) | −2.23854 | + | 0.727347i | −0.0752904 | + | 0.0244633i | ||||
\(885\) | −32.1364 | − | 2.66567i | −1.08025 | − | 0.0896055i | ||||
\(886\) | −11.9367 | − | 16.4295i | −0.401023 | − | 0.551960i | ||||
\(887\) | −52.7376 | − | 26.8712i | −1.77076 | − | 0.902246i | −0.936325 | − | 0.351134i | \(-0.885796\pi\) |
−0.834432 | − | 0.551111i | \(-0.814204\pi\) | |||||||
\(888\) | −3.98206 | + | 2.02896i | −0.133629 | + | 0.0680875i | ||||
\(889\) | −15.2015 | + | 20.9231i | −0.509843 | + | 0.701738i | ||||
\(890\) | −17.8766 | − | 15.3990i | −0.599224 | − | 0.516175i | ||||
\(891\) | −22.2636 | + | 71.2345i | −0.745858 | + | 2.38645i | ||||
\(892\) | −3.52584 | − | 3.52584i | −0.118054 | − | 0.118054i | ||||
\(893\) | −4.34926 | − | 27.4601i | −0.145542 | − | 0.918918i | ||||
\(894\) | 0.101769 | + | 0.0330667i | 0.00340366 | + | 0.00110592i | ||||
\(895\) | 28.0451 | − | 11.4783i | 0.937446 | − | 0.383677i | ||||
\(896\) | 1.23329 | − | 0.896038i | 0.0412014 | − | 0.0299345i | ||||
\(897\) | 2.29938 | − | 14.5177i | 0.0767740 | − | 0.484732i | ||||
\(898\) | −19.0905 | + | 37.4672i | −0.637058 | + | 1.25030i | ||||
\(899\) | 4.02649 | − | 12.3922i | 0.134291 | − | 0.413305i | ||||
\(900\) | 32.4238 | + | 16.8669i | 1.08079 | + | 0.562229i | ||||
\(901\) | − | 8.45716i | − | 0.281749i | ||||||
\(902\) | 5.94353 | + | 5.81141i | 0.197898 | + | 0.193499i | ||||
\(903\) | 31.3733 | − | 31.3733i | 1.04404 | − | 1.04404i | ||||
\(904\) | −3.22746 | − | 2.34489i | −0.107344 | − | 0.0779899i | ||||
\(905\) | 9.16015 | − | 37.4578i | 0.304494 | − | 1.24514i | ||||
\(906\) | −21.0201 | − | 64.6931i | −0.698345 | − | 2.14928i | ||||
\(907\) | −14.9623 | − | 2.36980i | −0.496817 | − | 0.0786880i | −0.0970022 | − | 0.995284i | \(-0.530925\pi\) |
−0.399814 | + | 0.916596i | \(0.630925\pi\) | |||||||
\(908\) | 2.01564 | + | 0.319245i | 0.0668912 | + | 0.0105945i | ||||
\(909\) | 39.7815 | + | 122.435i | 1.31947 | + | 4.06091i | ||||
\(910\) | 1.87236 | + | 3.08455i | 0.0620681 | + | 0.102252i | ||||
\(911\) | 5.44856 | + | 3.95861i | 0.180519 | + | 0.131155i | 0.674375 | − | 0.738389i | \(-0.264413\pi\) |
−0.493856 | + | 0.869544i | \(0.664413\pi\) | |||||||
\(912\) | −14.0700 | + | 14.0700i | −0.465904 | + | 0.465904i | ||||
\(913\) | −3.03315 | − | 2.96573i | −0.100383 | − | 0.0981512i | ||||
\(914\) | 10.1208i | 0.334766i | ||||||||
\(915\) | 9.75198 | + | 41.3885i | 0.322391 | + | 1.36826i | ||||
\(916\) | 0.470996 | − | 1.44958i | 0.0155622 | − | 0.0478954i | ||||
\(917\) | −6.76610 | + | 13.2792i | −0.223436 | + | 0.438518i | ||||
\(918\) | −4.81333 | + | 30.3902i | −0.158863 | + | 1.00302i | ||||
\(919\) | −47.2044 | + | 34.2960i | −1.55713 | + | 1.13132i | −0.618813 | + | 0.785538i | \(0.712386\pi\) |
−0.938315 | + | 0.345782i | \(0.887614\pi\) | |||||||
\(920\) | 3.66280 | + | 8.94940i | 0.120759 | + | 0.295053i | ||||
\(921\) | 36.0740 | + | 11.7212i | 1.18868 | + | 0.386226i | ||||
\(922\) | −4.29433 | − | 27.1134i | −0.141426 | − | 0.892931i | ||||
\(923\) | 6.66028 | + | 6.66028i | 0.219226 | + | 0.219226i | ||||
\(924\) | 4.84277 | − | 15.4949i | 0.159315 | − | 0.509745i | ||||
\(925\) | 5.59558 | + | 4.13802i | 0.183982 | + | 0.136057i | ||||
\(926\) | −10.6467 | + | 14.6539i | −0.349872 | + | 0.481557i | ||||
\(927\) | 20.9216 | − | 10.6601i | 0.687155 | − | 0.350123i | ||||
\(928\) | 4.03492 | + | 2.05589i | 0.132453 | + | 0.0674881i | ||||
\(929\) | −5.89306 | − | 8.11110i | −0.193345 | − | 0.266117i | 0.701327 | − | 0.712839i | \(-0.252591\pi\) |
−0.894672 | + | 0.446723i | \(0.852591\pi\) | |||||||
\(930\) | −13.3502 | − | 15.7653i | −0.437770 | − | 0.516964i | ||||
\(931\) | −27.5598 | + | 8.95473i | −0.903237 | + | 0.293480i | ||||
\(932\) | −10.0739 | − | 19.7711i | −0.329981 | − | 0.647624i | ||||
\(933\) | 44.1000 | − | 6.98475i | 1.44377 | − | 0.228670i | ||||
\(934\) | 21.8363 | 0.714505 | ||||||||
\(935\) | 1.17838 | − | 16.4480i | 0.0385371 | − | 0.537907i | ||||
\(936\) | −7.73776 | −0.252917 | ||||||||
\(937\) | −41.2128 | + | 6.52746i | −1.34636 | + | 0.213243i | −0.787652 | − | 0.616120i | \(-0.788703\pi\) |
−0.558710 | + | 0.829363i | \(0.688703\pi\) | |||||||
\(938\) | 5.29282 | + | 10.3877i | 0.172817 | + | 0.339172i | ||||
\(939\) | −92.1972 | + | 29.9567i | −3.00874 | + | 0.977600i | ||||
\(940\) | −0.829283 | + | 9.99754i | −0.0270482 | + | 0.326084i | ||||
\(941\) | 14.4754 | + | 19.9237i | 0.471885 | + | 0.649494i | 0.976920 | − | 0.213605i | \(-0.0685205\pi\) |
−0.505035 | + | 0.863099i | \(0.668520\pi\) | |||||||
\(942\) | 5.62021 | + | 2.86364i | 0.183116 | + | 0.0933025i | ||||
\(943\) | −9.65732 | + | 4.92065i | −0.314486 | + | 0.160238i | ||||
\(944\) | −2.63995 | + | 3.63358i | −0.0859232 | + | 0.118263i | ||||
\(945\) | 47.0394 | − | 3.50244i | 1.53019 | − | 0.113934i | ||||
\(946\) | −9.61089 | − | 28.4859i | −0.312477 | − | 0.926157i | ||||
\(947\) | −6.72877 | − | 6.72877i | −0.218656 | − | 0.218656i | 0.589276 | − | 0.807932i | \(-0.299413\pi\) |
−0.807932 | + | 0.589276i | \(0.799413\pi\) | |||||||
\(948\) | −2.91297 | − | 18.3918i | −0.0946090 | − | 0.597338i | ||||
\(949\) | 11.4836 | + | 3.73124i | 0.372772 | + | 0.121121i | ||||
\(950\) | 29.3869 | + | 9.82332i | 0.953438 | + | 0.318711i | ||||
\(951\) | 79.6507 | − | 57.8696i | 2.58285 | − | 1.87655i | ||||
\(952\) | 0.530254 | − | 3.34789i | 0.0171856 | − | 0.108506i | ||||
\(953\) | −15.9429 | + | 31.2897i | −0.516441 | + | 1.01357i | 0.474623 | + | 0.880189i | \(0.342584\pi\) |
−0.991064 | + | 0.133384i | \(0.957416\pi\) | |||||||
\(954\) | 8.59137 | − | 26.4415i | 0.278156 | − | 0.856076i | ||||
\(955\) | 23.9465 | + | 14.8138i | 0.774889 | + | 0.479362i | ||||
\(956\) | 24.7841i | 0.801574i | ||||||||
\(957\) | 47.5436 | − | 8.07890i | 1.53687 | − | 0.261154i | ||||
\(958\) | 4.61171 | − | 4.61171i | 0.148998 | − | 0.148998i | ||||
\(959\) | 3.04719 | + | 2.21391i | 0.0983989 | + | 0.0714910i | ||||
\(960\) | 6.13750 | − | 3.72553i | 0.198087 | − | 0.120241i | ||||
\(961\) | −7.02117 | − | 21.6089i | −0.226489 | − | 0.697062i | ||||
\(962\) | −1.45526 | − | 0.230490i | −0.0469194 | − | 0.00743130i | ||||
\(963\) | 119.253 | + | 18.8879i | 3.84289 | + | 0.608654i | ||||
\(964\) | 0.0173846 | + | 0.0535042i | 0.000559919 | + | 0.00172325i | ||||
\(965\) | 7.33108 | − | 4.45005i | 0.235996 | − | 0.143252i | ||||
\(966\) | 17.1249 | + | 12.4420i | 0.550984 | + | 0.400313i | ||||
\(967\) | 43.6347 | − | 43.6347i | 1.40320 | − | 1.40320i | 0.613512 | − | 0.789685i | \(-0.289756\pi\) |
0.789685 | − | 0.613512i | \(-0.210244\pi\) | |||||||
\(968\) | −7.95103 | − | 7.60139i | −0.255556 | − | 0.244318i | ||||
\(969\) | 44.2438i | 1.42131i | ||||||||
\(970\) | 13.3236 | + | 8.24223i | 0.427794 | + | 0.264642i | ||||
\(971\) | 8.80597 | − | 27.1020i | 0.282597 | − | 0.869744i | −0.704512 | − | 0.709693i | \(-0.748834\pi\) |
0.987109 | − | 0.160052i | \(-0.0511661\pi\) | |||||||
\(972\) | −13.9553 | + | 27.3888i | −0.447617 | + | 0.878497i | ||||
\(973\) | −1.79163 | + | 11.3119i | −0.0574369 | + | 0.362642i | ||||
\(974\) | 2.37265 | − | 1.72383i | 0.0760245 | − | 0.0552350i | ||||
\(975\) | 7.58729 | + | 15.2068i | 0.242988 | + | 0.487007i | ||||
\(976\) | 5.63262 | + | 1.83015i | 0.180296 | + | 0.0585817i | ||||
\(977\) | −8.07944 | − | 51.0116i | −0.258484 | − | 1.63201i | −0.685720 | − | 0.727865i | \(-0.740513\pi\) |
0.427236 | − | 0.904140i | \(-0.359487\pi\) | |||||||
\(978\) | −4.94335 | − | 4.94335i | −0.158071 | − | 0.158071i | ||||
\(979\) | −20.2508 | + | 28.5420i | −0.647219 | + | 0.912206i | ||||
\(980\) | 10.4272 | − | 0.776386i | 0.333086 | − | 0.0248007i | ||||
\(981\) | 8.11191 | − | 11.1651i | 0.258993 | − | 0.356474i | ||||
\(982\) | −11.8666 | + | 6.04634i | −0.378679 | + | 0.192946i | ||||
\(983\) | −48.6352 | − | 24.7809i | −1.55122 | − | 0.790387i | −0.552161 | − | 0.833737i | \(-0.686197\pi\) |
−0.999060 | + | 0.0433506i | \(0.986197\pi\) | |||||||
\(984\) | 4.73019 | + | 6.51054i | 0.150793 | + | 0.207549i | ||||
\(985\) | −1.93446 | + | 23.3212i | −0.0616371 | + | 0.743075i | ||||
\(986\) | 9.57644 | − | 3.11157i | 0.304976 | − | 0.0990927i | ||||
\(987\) | 9.96952 | + | 19.5663i | 0.317333 | + | 0.622802i | ||||
\(988\) | −6.47920 | + | 1.02620i | −0.206131 | + | 0.0326479i | ||||
\(989\) | 39.1997 | 1.24648 | ||||||||
\(990\) | 20.3933 | − | 50.2280i | 0.648141 | − | 1.59635i | ||||
\(991\) | 1.67436 | 0.0531879 | 0.0265939 | − | 0.999646i | \(-0.491534\pi\) | ||||
0.0265939 | + | 0.999646i | \(0.491534\pi\) | |||||||
\(992\) | −2.84191 | + | 0.450114i | −0.0902306 | + | 0.0142911i | ||||
\(993\) | −20.7755 | − | 40.7742i | −0.659291 | − | 1.29393i | ||||
\(994\) | −12.9005 | + | 4.19162i | −0.409178 | + | 0.132950i | ||||
\(995\) | −13.1604 | − | 15.5412i | −0.417214 | − | 0.492689i | ||||
\(996\) | −2.41395 | − | 3.32251i | −0.0764888 | − | 0.105278i | ||||
\(997\) | −26.6089 | − | 13.5579i | −0.842713 | − | 0.429384i | −0.0213379 | − | 0.999772i | \(-0.506793\pi\) |
−0.821375 | + | 0.570389i | \(0.806793\pi\) | |||||||
\(998\) | −20.8231 | + | 10.6099i | −0.659143 | + | 0.335850i | ||||
\(999\) | −11.3212 | + | 15.5823i | −0.358187 | + | 0.493002i |
(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 | 110.2.k.a.7.1 | ✓ | 48 | |
3.2 | odd | 2 | 990.2.bh.c.667.6 | 48 | |||
4.3 | odd | 2 | 880.2.cm.c.337.6 | 48 | |||
5.2 | odd | 4 | 550.2.bh.b.293.1 | 48 | |||
5.3 | odd | 4 | inner | 110.2.k.a.73.6 | yes | 48 | |
5.4 | even | 2 | 550.2.bh.b.7.6 | 48 | |||
11.8 | odd | 10 | inner | 110.2.k.a.107.6 | yes | 48 | |
15.8 | even | 4 | 990.2.bh.c.73.2 | 48 | |||
20.3 | even | 4 | 880.2.cm.c.513.1 | 48 | |||
33.8 | even | 10 | 990.2.bh.c.217.2 | 48 | |||
44.19 | even | 10 | 880.2.cm.c.657.1 | 48 | |||
55.8 | even | 20 | inner | 110.2.k.a.63.1 | yes | 48 | |
55.19 | odd | 10 | 550.2.bh.b.107.1 | 48 | |||
55.52 | even | 20 | 550.2.bh.b.393.6 | 48 | |||
165.8 | odd | 20 | 990.2.bh.c.613.6 | 48 | |||
220.63 | odd | 20 | 880.2.cm.c.833.6 | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
110.2.k.a.7.1 | ✓ | 48 | 1.1 | even | 1 | trivial | |
110.2.k.a.63.1 | yes | 48 | 55.8 | even | 20 | inner | |
110.2.k.a.73.6 | yes | 48 | 5.3 | odd | 4 | inner | |
110.2.k.a.107.6 | yes | 48 | 11.8 | odd | 10 | inner | |
550.2.bh.b.7.6 | 48 | 5.4 | even | 2 | |||
550.2.bh.b.107.1 | 48 | 55.19 | odd | 10 | |||
550.2.bh.b.293.1 | 48 | 5.2 | odd | 4 | |||
550.2.bh.b.393.6 | 48 | 55.52 | even | 20 | |||
880.2.cm.c.337.6 | 48 | 4.3 | odd | 2 | |||
880.2.cm.c.513.1 | 48 | 20.3 | even | 4 | |||
880.2.cm.c.657.1 | 48 | 44.19 | even | 10 | |||
880.2.cm.c.833.6 | 48 | 220.63 | odd | 20 | |||
990.2.bh.c.73.2 | 48 | 15.8 | even | 4 | |||
990.2.bh.c.217.2 | 48 | 33.8 | even | 10 | |||
990.2.bh.c.613.6 | 48 | 165.8 | odd | 20 | |||
990.2.bh.c.667.6 | 48 | 3.2 | odd | 2 |