Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [483,2,Mod(64,483)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(483, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 0, 12]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("483.64");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 483 = 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 483.q (of order \(11\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.85677441763\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{11})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} - 8 x^{19} + 40 x^{18} - 117 x^{17} + 295 x^{16} - 575 x^{15} + 1777 x^{14} - 1560 x^{13} + \cdots + 2374681 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 232.1 | ||
Root | \(-1.02673 + 0.659842i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 483.232 |
Dual form | 483.2.q.c.127.1 |
$q$-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 \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(346\) | \(442\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{1}{11}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.61435 | − | 1.03748i | −1.14152 | − | 0.733611i | −0.173587 | − | 0.984818i | \(-0.555536\pi\) |
−0.967933 | + | 0.251208i | \(0.919172\pi\) | |||||||
\(3\) | −0.142315 | − | 0.989821i | −0.0821655 | − | 0.571474i | ||||
\(4\) | 0.698939 | + | 1.53046i | 0.349469 | + | 0.765231i | ||||
\(5\) | −2.78540 | − | 0.817866i | −1.24567 | − | 0.365761i | −0.408525 | − | 0.912747i | \(-0.633957\pi\) |
−0.837142 | + | 0.546986i | \(0.815775\pi\) | |||||||
\(6\) | −0.797176 | + | 1.74557i | −0.325446 | + | 0.712626i | ||||
\(7\) | −0.654861 | + | 0.755750i | −0.247514 | + | 0.285646i | ||||
\(8\) | −0.0867074 | + | 0.603063i | −0.0306557 | + | 0.213215i | ||||
\(9\) | −0.959493 | + | 0.281733i | −0.319831 | + | 0.0939109i | ||||
\(10\) | 3.64809 | + | 4.21012i | 1.15363 | + | 1.33136i | ||||
\(11\) | −1.01130 | + | 0.649920i | −0.304917 | + | 0.195958i | −0.684147 | − | 0.729344i | \(-0.739825\pi\) |
0.379230 | + | 0.925302i | \(0.376189\pi\) | |||||||
\(12\) | 1.41542 | − | 0.909632i | 0.408595 | − | 0.262588i | ||||
\(13\) | 2.65446 | + | 3.06341i | 0.736214 | + | 0.849636i | 0.993157 | − | 0.116791i | \(-0.0372606\pi\) |
−0.256943 | + | 0.966427i | \(0.582715\pi\) | |||||||
\(14\) | 1.84125 | − | 0.540641i | 0.492096 | − | 0.144492i | ||||
\(15\) | −0.413138 | + | 2.87344i | −0.106672 | + | 0.741919i | ||||
\(16\) | 2.96926 | − | 3.42671i | 0.742315 | − | 0.856677i | ||||
\(17\) | −0.185587 | + | 0.406379i | −0.0450115 | + | 0.0985614i | −0.930802 | − | 0.365524i | \(-0.880890\pi\) |
0.885790 | + | 0.464086i | \(0.153617\pi\) | |||||||
\(18\) | 1.84125 | + | 0.540641i | 0.433988 | + | 0.127430i | ||||
\(19\) | −0.122970 | − | 0.269268i | −0.0282114 | − | 0.0617742i | 0.895002 | − | 0.446063i | \(-0.147174\pi\) |
−0.923213 | + | 0.384288i | \(0.874447\pi\) | |||||||
\(20\) | −0.695108 | − | 4.83458i | −0.155431 | − | 1.08105i | ||||
\(21\) | 0.841254 | + | 0.540641i | 0.183577 | + | 0.117977i | ||||
\(22\) | 2.30687 | 0.491826 | ||||||||
\(23\) | 3.14576 | − | 3.61997i | 0.655936 | − | 0.754817i | ||||
\(24\) | 0.609264 | 0.124366 | ||||||||
\(25\) | 2.88326 | + | 1.85296i | 0.576652 | + | 0.370592i | ||||
\(26\) | −1.10700 | − | 7.69937i | −0.217101 | − | 1.50997i | ||||
\(27\) | 0.415415 | + | 0.909632i | 0.0799467 | + | 0.175059i | ||||
\(28\) | −1.61435 | − | 0.474017i | −0.305084 | − | 0.0895808i | ||||
\(29\) | −1.93907 | + | 4.24598i | −0.360077 | + | 0.788458i | 0.639726 | + | 0.768603i | \(0.279048\pi\) |
−0.999803 | + | 0.0198550i | \(0.993680\pi\) | |||||||
\(30\) | 3.64809 | − | 4.21012i | 0.666048 | − | 0.768660i | ||||
\(31\) | −0.518984 | + | 3.60962i | −0.0932123 | + | 0.648306i | 0.888632 | + | 0.458620i | \(0.151656\pi\) |
−0.981845 | + | 0.189686i | \(0.939253\pi\) | |||||||
\(32\) | −7.17941 | + | 2.10807i | −1.26915 | + | 0.372657i | ||||
\(33\) | 0.787227 | + | 0.908508i | 0.137039 | + | 0.158151i | ||||
\(34\) | 0.721214 | − | 0.463496i | 0.123687 | − | 0.0794889i | ||||
\(35\) | 2.44215 | − | 1.56947i | 0.412798 | − | 0.265289i | ||||
\(36\) | −1.10181 | − | 1.27155i | −0.183635 | − | 0.211926i | ||||
\(37\) | 5.35680 | − | 1.57290i | 0.880652 | − | 0.258583i | 0.190012 | − | 0.981782i | \(-0.439147\pi\) |
0.690640 | + | 0.723199i | \(0.257329\pi\) | |||||||
\(38\) | −0.0808426 | + | 0.562273i | −0.0131144 | + | 0.0912127i | ||||
\(39\) | 2.65446 | − | 3.06341i | 0.425053 | − | 0.490538i | ||||
\(40\) | 0.734739 | − | 1.60885i | 0.116172 | − | 0.254382i | ||||
\(41\) | 1.51933 | + | 0.446116i | 0.237280 | + | 0.0696716i | 0.398210 | − | 0.917294i | \(-0.369631\pi\) |
−0.160931 | + | 0.986966i | \(0.551450\pi\) | |||||||
\(42\) | −0.797176 | − | 1.74557i | −0.123007 | − | 0.269347i | ||||
\(43\) | 0.200691 | + | 1.39584i | 0.0306051 | + | 0.212863i | 0.999385 | − | 0.0350582i | \(-0.0111616\pi\) |
−0.968780 | + | 0.247921i | \(0.920253\pi\) | |||||||
\(44\) | −1.70151 | − | 1.09349i | −0.256512 | − | 0.164851i | ||||
\(45\) | 2.90299 | 0.432752 | ||||||||
\(46\) | −8.83402 | + | 2.58025i | −1.30251 | + | 0.380438i | ||||
\(47\) | −3.48129 | −0.507798 | −0.253899 | − | 0.967231i | \(-0.581713\pi\) | ||||
−0.253899 | + | 0.967231i | \(0.581713\pi\) | |||||||
\(48\) | −3.81440 | − | 2.45137i | −0.550561 | − | 0.353824i | ||||
\(49\) | −0.142315 | − | 0.989821i | −0.0203307 | − | 0.141403i | ||||
\(50\) | −2.73219 | − | 5.98266i | −0.386390 | − | 0.846076i | ||||
\(51\) | 0.428654 | + | 0.125864i | 0.0600236 | + | 0.0176245i | ||||
\(52\) | −2.83313 | + | 6.20368i | −0.392884 | + | 0.860295i | ||||
\(53\) | 7.57328 | − | 8.74004i | 1.04027 | − | 1.20054i | 0.0609670 | − | 0.998140i | \(-0.480582\pi\) |
0.979304 | − | 0.202397i | \(-0.0648730\pi\) | |||||||
\(54\) | 0.273100 | − | 1.89945i | 0.0371642 | − | 0.258483i | ||||
\(55\) | 3.34841 | − | 0.983181i | 0.451499 | − | 0.132572i | ||||
\(56\) | −0.398983 | − | 0.460451i | −0.0533164 | − | 0.0615304i | ||||
\(57\) | −0.249026 | + | 0.160040i | −0.0329844 | + | 0.0211978i | ||||
\(58\) | 7.53547 | − | 4.84275i | 0.989456 | − | 0.635885i | ||||
\(59\) | 8.82892 | + | 10.1891i | 1.14943 | + | 1.32651i | 0.936999 | + | 0.349333i | \(0.113592\pi\) |
0.212429 | + | 0.977177i | \(0.431863\pi\) | |||||||
\(60\) | −4.68645 | + | 1.37607i | −0.605018 | + | 0.177649i | ||||
\(61\) | −0.602744 | + | 4.19218i | −0.0771735 | + | 0.536753i | 0.914157 | + | 0.405361i | \(0.132854\pi\) |
−0.991330 | + | 0.131393i | \(0.958055\pi\) | |||||||
\(62\) | 4.58274 | − | 5.28876i | 0.582008 | − | 0.671673i | ||||
\(63\) | 0.415415 | − | 0.909632i | 0.0523374 | − | 0.114603i | ||||
\(64\) | 5.07616 | + | 1.49049i | 0.634520 | + | 0.186312i | ||||
\(65\) | −4.88826 | − | 10.7038i | −0.606314 | − | 1.32764i | ||||
\(66\) | −0.328302 | − | 2.28339i | −0.0404111 | − | 0.281066i | ||||
\(67\) | 3.01093 | + | 1.93501i | 0.367844 | + | 0.236399i | 0.711484 | − | 0.702703i | \(-0.248024\pi\) |
−0.343640 | + | 0.939102i | \(0.611660\pi\) | |||||||
\(68\) | −0.751662 | −0.0911523 | ||||||||
\(69\) | −4.03082 | − | 2.59856i | −0.485253 | − | 0.312830i | ||||
\(70\) | −5.57079 | −0.665837 | ||||||||
\(71\) | 10.0099 | + | 6.43295i | 1.18795 | + | 0.763451i | 0.976832 | − | 0.214009i | \(-0.0686522\pi\) |
0.211121 | + | 0.977460i | \(0.432289\pi\) | |||||||
\(72\) | −0.0867074 | − | 0.603063i | −0.0102186 | − | 0.0710717i | ||||
\(73\) | 4.65850 | + | 10.2007i | 0.545236 | + | 1.19390i | 0.958971 | + | 0.283503i | \(0.0914965\pi\) |
−0.413736 | + | 0.910397i | \(0.635776\pi\) | |||||||
\(74\) | −10.2796 | − | 3.01837i | −1.19498 | − | 0.350878i | ||||
\(75\) | 1.42377 | − | 3.11762i | 0.164403 | − | 0.359991i | ||||
\(76\) | 0.326155 | − | 0.376403i | 0.0374126 | − | 0.0431764i | ||||
\(77\) | 0.171081 | − | 1.18989i | 0.0194965 | − | 0.135601i | ||||
\(78\) | −7.46346 | + | 2.19147i | −0.845071 | + | 0.248135i | ||||
\(79\) | −4.68236 | − | 5.40373i | −0.526807 | − | 0.607967i | 0.428515 | − | 0.903535i | \(-0.359037\pi\) |
−0.955322 | + | 0.295567i | \(0.904491\pi\) | |||||||
\(80\) | −11.0732 | + | 7.11628i | −1.23802 | + | 0.795625i | ||||
\(81\) | 0.841254 | − | 0.540641i | 0.0934726 | − | 0.0600712i | ||||
\(82\) | −1.98990 | − | 2.29647i | −0.219748 | − | 0.253602i | ||||
\(83\) | −0.0254587 | + | 0.00747534i | −0.00279445 | + | 0.000820525i | −0.283129 | − | 0.959082i | \(-0.591373\pi\) |
0.280335 | + | 0.959902i | \(0.409554\pi\) | |||||||
\(84\) | −0.239446 | + | 1.66538i | −0.0261257 | + | 0.181708i | ||||
\(85\) | 0.849297 | − | 0.980141i | 0.0921192 | − | 0.106311i | ||||
\(86\) | 1.12417 | − | 2.46159i | 0.121222 | − | 0.265440i | ||||
\(87\) | 4.47872 | + | 1.31507i | 0.480169 | + | 0.140990i | ||||
\(88\) | −0.304256 | − | 0.666228i | −0.0324338 | − | 0.0710201i | ||||
\(89\) | 1.50411 | + | 10.4613i | 0.159435 | + | 1.10890i | 0.899677 | + | 0.436555i | \(0.143802\pi\) |
−0.740242 | + | 0.672340i | \(0.765289\pi\) | |||||||
\(90\) | −4.68645 | − | 3.01180i | −0.493995 | − | 0.317471i | ||||
\(91\) | −4.05347 | −0.424919 | ||||||||
\(92\) | 7.73893 | + | 2.28432i | 0.806839 | + | 0.238157i | ||||
\(93\) | 3.64673 | 0.378149 | ||||||||
\(94\) | 5.62003 | + | 3.61177i | 0.579662 | + | 0.372526i | ||||
\(95\) | 0.122296 | + | 0.850591i | 0.0125474 | + | 0.0872688i | ||||
\(96\) | 3.10835 | + | 6.80633i | 0.317244 | + | 0.694668i | ||||
\(97\) | 0.0741642 | + | 0.0217766i | 0.00753024 | + | 0.00221108i | 0.285496 | − | 0.958380i | \(-0.407842\pi\) |
−0.277965 | + | 0.960591i | \(0.589660\pi\) | |||||||
\(98\) | −0.797176 | + | 1.74557i | −0.0805269 | + | 0.176329i | ||||
\(99\) | 0.787227 | − | 0.908508i | 0.0791193 | − | 0.0913085i | ||||
\(100\) | −0.820661 | + | 5.70783i | −0.0820661 | + | 0.570783i | ||||
\(101\) | −16.9464 | + | 4.97591i | −1.68623 | + | 0.495122i | −0.977602 | − | 0.210461i | \(-0.932504\pi\) |
−0.708628 | + | 0.705582i | \(0.750685\pi\) | |||||||
\(102\) | −0.561418 | − | 0.647911i | −0.0555886 | − | 0.0641527i | ||||
\(103\) | 3.33681 | − | 2.14444i | 0.328786 | − | 0.211298i | −0.365825 | − | 0.930684i | \(-0.619213\pi\) |
0.694611 | + | 0.719386i | \(0.255577\pi\) | |||||||
\(104\) | −2.07759 | + | 1.33518i | −0.203724 | + | 0.130926i | ||||
\(105\) | −1.90105 | − | 2.19393i | −0.185524 | − | 0.214106i | ||||
\(106\) | −21.2936 | + | 6.25236i | −2.06822 | + | 0.607283i | ||||
\(107\) | 0.0744754 | − | 0.517988i | 0.00719981 | − | 0.0500758i | −0.985905 | − | 0.167307i | \(-0.946493\pi\) |
0.993105 | + | 0.117231i | \(0.0374019\pi\) | |||||||
\(108\) | −1.10181 | + | 1.27155i | −0.106022 | + | 0.122355i | ||||
\(109\) | −2.40391 | + | 5.26384i | −0.230253 | + | 0.504184i | −0.989129 | − | 0.147051i | \(-0.953022\pi\) |
0.758876 | + | 0.651235i | \(0.225749\pi\) | |||||||
\(110\) | −6.42554 | − | 1.88671i | −0.612651 | − | 0.179891i | ||||
\(111\) | −2.31924 | − | 5.07843i | −0.220133 | − | 0.482023i | ||||
\(112\) | 0.645282 | + | 4.48803i | 0.0609734 | + | 0.424079i | ||||
\(113\) | 15.2240 | + | 9.78385i | 1.43215 | + | 0.920387i | 0.999826 | + | 0.0186690i | \(0.00594288\pi\) |
0.432325 | + | 0.901718i | \(0.357693\pi\) | |||||||
\(114\) | 0.568055 | 0.0532032 | ||||||||
\(115\) | −11.7228 | + | 7.51026i | −1.09316 | + | 0.700335i | ||||
\(116\) | −7.85360 | −0.729188 | ||||||||
\(117\) | −3.40999 | − | 2.19147i | −0.315254 | − | 0.202601i | ||||
\(118\) | −3.68197 | − | 25.6087i | −0.338953 | − | 2.35747i | ||||
\(119\) | −0.185587 | − | 0.406379i | −0.0170127 | − | 0.0372527i | ||||
\(120\) | −1.69704 | − | 0.498297i | −0.154918 | − | 0.0454881i | ||||
\(121\) | −3.96924 | + | 8.69143i | −0.360840 | + | 0.790130i | ||||
\(122\) | 5.32235 | − | 6.14232i | 0.481863 | − | 0.556100i | ||||
\(123\) | 0.225352 | − | 1.56736i | 0.0203193 | − | 0.141324i | ||||
\(124\) | −5.88712 | + | 1.72861i | −0.528679 | + | 0.155234i | ||||
\(125\) | 2.98971 | + | 3.45031i | 0.267408 | + | 0.308605i | ||||
\(126\) | −1.61435 | + | 1.03748i | −0.143818 | + | 0.0924263i | ||||
\(127\) | −11.8527 | + | 7.61725i | −1.05175 | + | 0.675922i | −0.947867 | − | 0.318667i | \(-0.896765\pi\) |
−0.103888 | + | 0.994589i | \(0.533128\pi\) | |||||||
\(128\) | 3.15165 | + | 3.63720i | 0.278569 | + | 0.321486i | ||||
\(129\) | 1.35307 | − | 0.397297i | 0.119131 | − | 0.0349800i | ||||
\(130\) | −3.21362 | + | 22.3512i | −0.281853 | + | 1.96033i | ||||
\(131\) | −10.3363 | + | 11.9287i | −0.903085 | + | 1.04222i | 0.0958183 | + | 0.995399i | \(0.469453\pi\) |
−0.998903 | + | 0.0468170i | \(0.985092\pi\) | |||||||
\(132\) | −0.840214 | + | 1.83981i | −0.0731313 | + | 0.160135i | ||||
\(133\) | 0.284027 | + | 0.0833980i | 0.0246283 | + | 0.00723152i | ||||
\(134\) | −2.85317 | − | 6.24758i | −0.246477 | − | 0.539709i | ||||
\(135\) | −0.413138 | − | 2.87344i | −0.0355573 | − | 0.247306i | ||||
\(136\) | −0.228980 | − | 0.147157i | −0.0196349 | − | 0.0126186i | ||||
\(137\) | 3.02092 | 0.258095 | 0.129047 | − | 0.991638i | \(-0.458808\pi\) | ||||
0.129047 | + | 0.991638i | \(0.458808\pi\) | |||||||
\(138\) | 3.81120 | + | 8.37690i | 0.324431 | + | 0.713089i | ||||
\(139\) | −11.3664 | −0.964085 | −0.482043 | − | 0.876148i | \(-0.660105\pi\) | ||||
−0.482043 | + | 0.876148i | \(0.660105\pi\) | |||||||
\(140\) | 4.10893 | + | 2.64065i | 0.347268 | + | 0.223176i | ||||
\(141\) | 0.495439 | + | 3.44585i | 0.0417235 | + | 0.290193i | ||||
\(142\) | −9.48539 | − | 20.7701i | −0.795997 | − | 1.74299i | ||||
\(143\) | −4.67541 | − | 1.37282i | −0.390977 | − | 0.114801i | ||||
\(144\) | −1.88357 | + | 4.12444i | −0.156964 | + | 0.343703i | ||||
\(145\) | 8.87372 | − | 10.2408i | 0.736923 | − | 0.850454i | ||||
\(146\) | 3.06257 | − | 21.3006i | 0.253460 | − | 1.76285i | ||||
\(147\) | −0.959493 | + | 0.281733i | −0.0791376 | + | 0.0232369i | ||||
\(148\) | 6.15133 | + | 7.09902i | 0.505637 | + | 0.583536i | ||||
\(149\) | −15.2467 | + | 9.79845i | −1.24906 | + | 0.802720i | −0.986747 | − | 0.162264i | \(-0.948120\pi\) |
−0.262309 | + | 0.964984i | \(0.584484\pi\) | |||||||
\(150\) | −5.53294 | + | 3.55580i | −0.451762 | + | 0.290330i | ||||
\(151\) | 2.89891 | + | 3.34552i | 0.235910 | + | 0.272254i | 0.861344 | − | 0.508023i | \(-0.169623\pi\) |
−0.625434 | + | 0.780277i | \(0.715078\pi\) | |||||||
\(152\) | 0.173048 | − | 0.0508114i | 0.0140360 | − | 0.00412135i | ||||
\(153\) | 0.0635793 | − | 0.442204i | 0.00514008 | − | 0.0357500i | ||||
\(154\) | −1.51068 | + | 1.74341i | −0.121734 | + | 0.140488i | ||||
\(155\) | 4.39776 | − | 9.62975i | 0.353237 | − | 0.773480i | ||||
\(156\) | 6.54373 | + | 1.92141i | 0.523918 | + | 0.153836i | ||||
\(157\) | −6.59036 | − | 14.4309i | −0.525968 | − | 1.15171i | −0.967130 | − | 0.254282i | \(-0.918161\pi\) |
0.441162 | − | 0.897427i | \(-0.354566\pi\) | |||||||
\(158\) | 1.95271 | + | 13.5814i | 0.155349 | + | 1.08048i | ||||
\(159\) | −9.72887 | − | 6.25236i | −0.771549 | − | 0.495845i | ||||
\(160\) | 21.7216 | 1.71725 | ||||||||
\(161\) | 0.675762 | + | 4.74798i | 0.0532575 | + | 0.374194i | ||||
\(162\) | −1.91899 | −0.150770 | ||||||||
\(163\) | 1.66312 | + | 1.06882i | 0.130265 | + | 0.0837164i | 0.604151 | − | 0.796870i | \(-0.293513\pi\) |
−0.473885 | + | 0.880587i | \(0.657149\pi\) | |||||||
\(164\) | 0.379156 | + | 2.63709i | 0.0296071 | + | 0.205922i | ||||
\(165\) | −1.44970 | − | 3.17440i | −0.112859 | − | 0.247127i | ||||
\(166\) | 0.0488548 | + | 0.0143451i | 0.00379187 | + | 0.00111339i | ||||
\(167\) | 5.83085 | − | 12.7678i | 0.451204 | − | 0.988000i | −0.538200 | − | 0.842817i | \(-0.680896\pi\) |
0.989405 | − | 0.145183i | \(-0.0463771\pi\) | |||||||
\(168\) | −0.398983 | + | 0.460451i | −0.0307822 | + | 0.0355246i | ||||
\(169\) | −0.488225 | + | 3.39568i | −0.0375558 | + | 0.261206i | ||||
\(170\) | −2.38794 | + | 0.701164i | −0.183147 | + | 0.0537768i | ||||
\(171\) | 0.193851 | + | 0.223716i | 0.0148241 | + | 0.0171080i | ||||
\(172\) | −1.99601 | + | 1.28275i | −0.152194 | + | 0.0978091i | ||||
\(173\) | −5.56630 | + | 3.57724i | −0.423198 | + | 0.271973i | −0.734858 | − | 0.678221i | \(-0.762751\pi\) |
0.311660 | + | 0.950194i | \(0.399115\pi\) | |||||||
\(174\) | −5.86587 | − | 6.76958i | −0.444690 | − | 0.513200i | ||||
\(175\) | −3.28851 | + | 0.965593i | −0.248588 | + | 0.0729919i | ||||
\(176\) | −0.775712 | + | 5.39519i | −0.0584715 | + | 0.406678i | ||||
\(177\) | 8.82892 | − | 10.1891i | 0.663622 | − | 0.765861i | ||||
\(178\) | 8.42525 | − | 18.4487i | 0.631499 | − | 1.38279i | ||||
\(179\) | 21.6136 | + | 6.34632i | 1.61548 | + | 0.474347i | 0.959797 | − | 0.280694i | \(-0.0905645\pi\) |
0.655678 | + | 0.755040i | \(0.272383\pi\) | |||||||
\(180\) | 2.02901 | + | 4.44291i | 0.151234 | + | 0.331155i | ||||
\(181\) | 1.20178 | + | 8.35854i | 0.0893274 | + | 0.621286i | 0.984476 | + | 0.175518i | \(0.0561601\pi\) |
−0.895149 | + | 0.445767i | \(0.852931\pi\) | |||||||
\(182\) | 6.54373 | + | 4.20540i | 0.485054 | + | 0.311725i | ||||
\(183\) | 4.23529 | 0.313081 | ||||||||
\(184\) | 1.91031 | + | 2.21097i | 0.140830 | + | 0.162995i | ||||
\(185\) | −16.2072 | −1.19158 | ||||||||
\(186\) | −5.88712 | − | 3.78342i | −0.431664 | − | 0.277414i | ||||
\(187\) | −0.0764305 | − | 0.531586i | −0.00558915 | − | 0.0388734i | ||||
\(188\) | −2.43321 | − | 5.32798i | −0.177460 | − | 0.388583i | ||||
\(189\) | −0.959493 | − | 0.281733i | −0.0697928 | − | 0.0204930i | ||||
\(190\) | 0.685043 | − | 1.50003i | 0.0496982 | − | 0.108824i | ||||
\(191\) | 14.1995 | − | 16.3872i | 1.02744 | − | 1.18573i | 0.0450353 | − | 0.998985i | \(-0.485660\pi\) |
0.982408 | − | 0.186747i | \(-0.0597946\pi\) | |||||||
\(192\) | 0.752911 | − | 5.23661i | 0.0543366 | − | 0.377920i | ||||
\(193\) | 18.6865 | − | 5.48686i | 1.34509 | − | 0.394953i | 0.471605 | − | 0.881810i | \(-0.343675\pi\) |
0.873482 | + | 0.486857i | \(0.161857\pi\) | |||||||
\(194\) | −0.0971345 | − | 0.112099i | −0.00697385 | − | 0.00804825i | ||||
\(195\) | −9.89917 | + | 6.36181i | −0.708894 | + | 0.455579i | ||||
\(196\) | 1.41542 | − | 0.909632i | 0.101101 | − | 0.0649737i | ||||
\(197\) | 6.61609 | + | 7.63537i | 0.471377 | + | 0.543998i | 0.940794 | − | 0.338979i | \(-0.110081\pi\) |
−0.469417 | + | 0.882976i | \(0.655536\pi\) | |||||||
\(198\) | −2.21342 | + | 0.649920i | −0.157301 | + | 0.0461878i | ||||
\(199\) | 0.584439 | − | 4.06486i | 0.0414298 | − | 0.288151i | −0.958565 | − | 0.284874i | \(-0.908048\pi\) |
0.999995 | − | 0.00327615i | \(-0.00104283\pi\) | |||||||
\(200\) | −1.36745 | + | 1.57812i | −0.0966934 | + | 0.111590i | ||||
\(201\) | 1.48681 | − | 3.25567i | 0.104872 | − | 0.229637i | ||||
\(202\) | 32.5199 | + | 9.54871i | 2.28809 | + | 0.671845i | ||||
\(203\) | −1.93907 | − | 4.24598i | −0.136096 | − | 0.298009i | ||||
\(204\) | 0.106973 | + | 0.744011i | 0.00748958 | + | 0.0520912i | ||||
\(205\) | −3.86708 | − | 2.48522i | −0.270088 | − | 0.173575i | ||||
\(206\) | −7.61161 | −0.530326 | ||||||||
\(207\) | −1.99847 | + | 4.35960i | −0.138903 | + | 0.303013i | ||||
\(208\) | 18.3792 | 1.27437 | ||||||||
\(209\) | 0.299362 | + | 0.192388i | 0.0207073 | + | 0.0133078i | ||||
\(210\) | 0.792806 | + | 5.51409i | 0.0547088 | + | 0.380508i | ||||
\(211\) | −9.46499 | − | 20.7254i | −0.651597 | − | 1.42680i | −0.890150 | − | 0.455668i | \(-0.849400\pi\) |
0.238553 | − | 0.971129i | \(-0.423327\pi\) | |||||||
\(212\) | 18.6696 | + | 5.48188i | 1.28223 | + | 0.376497i | ||||
\(213\) | 4.94292 | − | 10.8235i | 0.338683 | − | 0.741613i | ||||
\(214\) | −0.657632 | + | 0.758948i | −0.0449548 | + | 0.0518806i | ||||
\(215\) | 0.582604 | − | 4.05210i | 0.0397332 | − | 0.276351i | ||||
\(216\) | −0.584585 | + | 0.171650i | −0.0397760 | + | 0.0116793i | ||||
\(217\) | −2.38810 | − | 2.75602i | −0.162115 | − | 0.187091i | ||||
\(218\) | 9.34190 | − | 6.00368i | 0.632713 | − | 0.406620i | ||||
\(219\) | 9.43388 | − | 6.06279i | 0.637483 | − | 0.409685i | ||||
\(220\) | 3.84505 | + | 4.43743i | 0.259233 | + | 0.299171i | ||||
\(221\) | −1.73754 | + | 0.510187i | −0.116879 | + | 0.0343189i | ||||
\(222\) | −1.52470 | + | 10.6045i | −0.102331 | + | 0.711731i | ||||
\(223\) | 10.5014 | − | 12.1192i | 0.703224 | − | 0.811564i | −0.285960 | − | 0.958242i | \(-0.592313\pi\) |
0.989184 | + | 0.146678i | \(0.0468580\pi\) | |||||||
\(224\) | 3.10835 | − | 6.80633i | 0.207685 | − | 0.454767i | ||||
\(225\) | −3.28851 | − | 0.965593i | −0.219234 | − | 0.0643728i | ||||
\(226\) | −14.4263 | − | 31.5892i | −0.959623 | − | 2.10128i | ||||
\(227\) | −0.591691 | − | 4.11530i | −0.0392719 | − | 0.273142i | 0.960719 | − | 0.277525i | \(-0.0895140\pi\) |
−0.999990 | + | 0.00438268i | \(0.998605\pi\) | |||||||
\(228\) | −0.418989 | − | 0.269268i | −0.0277482 | − | 0.0178327i | ||||
\(229\) | 14.7545 | 0.975002 | 0.487501 | − | 0.873122i | \(-0.337909\pi\) | ||||
0.487501 | + | 0.873122i | \(0.337909\pi\) | |||||||
\(230\) | 26.7166 | + | 0.0380204i | 1.76164 | + | 0.00250699i | ||||
\(231\) | −1.20213 | −0.0790943 | ||||||||
\(232\) | −2.39246 | − | 1.53754i | −0.157073 | − | 0.100944i | ||||
\(233\) | −1.45568 | − | 10.1245i | −0.0953650 | − | 0.663278i | −0.980293 | − | 0.197550i | \(-0.936702\pi\) |
0.884928 | − | 0.465728i | \(-0.154208\pi\) | |||||||
\(234\) | 3.23133 | + | 7.07562i | 0.211238 | + | 0.462547i | ||||
\(235\) | 9.69677 | + | 2.84723i | 0.632547 | + | 0.185733i | ||||
\(236\) | −9.42318 | + | 20.6339i | −0.613397 | + | 1.34315i | ||||
\(237\) | −4.68236 | + | 5.40373i | −0.304152 | + | 0.351010i | ||||
\(238\) | −0.122008 | + | 0.848582i | −0.00790859 | + | 0.0550054i | ||||
\(239\) | 3.49850 | − | 1.02725i | 0.226299 | − | 0.0664475i | −0.166617 | − | 0.986022i | \(-0.553284\pi\) |
0.392916 | + | 0.919574i | \(0.371466\pi\) | |||||||
\(240\) | 8.61972 | + | 9.94769i | 0.556401 | + | 0.642121i | ||||
\(241\) | −13.1849 | + | 8.47343i | −0.849315 | + | 0.545822i | −0.891361 | − | 0.453294i | \(-0.850249\pi\) |
0.0420461 | + | 0.999116i | \(0.486612\pi\) | |||||||
\(242\) | 15.4250 | − | 9.91302i | 0.991554 | − | 0.637233i | ||||
\(243\) | −0.654861 | − | 0.755750i | −0.0420093 | − | 0.0484814i | ||||
\(244\) | −6.83725 | + | 2.00760i | −0.437710 | + | 0.128523i | ||||
\(245\) | −0.413138 | + | 2.87344i | −0.0263944 | + | 0.183577i | ||||
\(246\) | −1.98990 | + | 2.29647i | −0.126871 | + | 0.146417i | ||||
\(247\) | 0.498457 | − | 1.09147i | 0.0317160 | − | 0.0694484i | ||||
\(248\) | −2.13183 | − | 0.625961i | −0.135371 | − | 0.0397485i | ||||
\(249\) | 0.0110224 | + | 0.0241357i | 0.000698516 | + | 0.00152954i | ||||
\(250\) | −1.24682 | − | 8.67180i | −0.0788556 | − | 0.548453i | ||||
\(251\) | −10.4770 | − | 6.73318i | −0.661305 | − | 0.424995i | 0.166477 | − | 0.986045i | \(-0.446761\pi\) |
−0.827781 | + | 0.561051i | \(0.810397\pi\) | |||||||
\(252\) | 1.68251 | 0.105988 | ||||||||
\(253\) | −0.828595 | + | 5.70535i | −0.0520933 | + | 0.358692i | ||||
\(254\) | 27.0372 | 1.69646 | ||||||||
\(255\) | −1.09103 | − | 0.701164i | −0.0683231 | − | 0.0439086i | ||||
\(256\) | −2.82017 | − | 19.6147i | −0.176261 | − | 1.22592i | ||||
\(257\) | 9.21150 | + | 20.1704i | 0.574598 | + | 1.25819i | 0.944313 | + | 0.329049i | \(0.106728\pi\) |
−0.369715 | + | 0.929145i | \(0.620545\pi\) | |||||||
\(258\) | −2.59652 | − | 0.762407i | −0.161652 | − | 0.0474654i | ||||
\(259\) | −2.31924 | + | 5.07843i | −0.144111 | + | 0.315558i | ||||
\(260\) | 12.9652 | − | 14.9626i | 0.804065 | − | 0.927940i | ||||
\(261\) | 0.664296 | − | 4.62028i | 0.0411189 | − | 0.285988i | ||||
\(262\) | 29.0622 | − | 8.53344i | 1.79547 | − | 0.527198i | ||||
\(263\) | −5.63899 | − | 6.50774i | −0.347715 | − | 0.401285i | 0.554771 | − | 0.832003i | \(-0.312806\pi\) |
−0.902486 | + | 0.430718i | \(0.858260\pi\) | |||||||
\(264\) | −0.616146 | + | 0.395973i | −0.0379212 | + | 0.0243705i | ||||
\(265\) | −28.2428 | + | 18.1505i | −1.73494 | + | 1.11498i | ||||
\(266\) | −0.371997 | − | 0.429307i | −0.0228086 | − | 0.0263225i | ||||
\(267\) | 10.1408 | − | 2.97760i | 0.620604 | − | 0.182226i | ||||
\(268\) | −0.857001 | + | 5.96057i | −0.0523497 | + | 0.364100i | ||||
\(269\) | −14.8106 | + | 17.0924i | −0.903019 | + | 1.04214i | 0.0958879 | + | 0.995392i | \(0.469431\pi\) |
−0.998907 | + | 0.0467472i | \(0.985114\pi\) | |||||||
\(270\) | −2.31419 | + | 5.06737i | −0.140837 | + | 0.308390i | ||||
\(271\) | −14.2737 | − | 4.19113i | −0.867065 | − | 0.254593i | −0.182199 | − | 0.983262i | \(-0.558321\pi\) |
−0.684867 | + | 0.728668i | \(0.740140\pi\) | |||||||
\(272\) | 0.841486 | + | 1.84260i | 0.0510226 | + | 0.111724i | ||||
\(273\) | 0.576869 | + | 4.01221i | 0.0349137 | + | 0.242830i | ||||
\(274\) | −4.87683 | − | 3.13415i | −0.294620 | − | 0.189341i | ||||
\(275\) | −4.12010 | −0.248451 | ||||||||
\(276\) | 1.15971 | − | 7.98525i | 0.0698061 | − | 0.480655i | ||||
\(277\) | −26.3243 | −1.58167 | −0.790837 | − | 0.612027i | \(-0.790354\pi\) | ||||
−0.790837 | + | 0.612027i | \(0.790354\pi\) | |||||||
\(278\) | 18.3494 | + | 11.7924i | 1.10052 | + | 0.707263i | ||||
\(279\) | −0.518984 | − | 3.60962i | −0.0310708 | − | 0.216102i | ||||
\(280\) | 0.734739 | + | 1.60885i | 0.0439091 | + | 0.0961475i | ||||
\(281\) | 18.2275 | + | 5.35207i | 1.08736 | + | 0.319278i | 0.775819 | − | 0.630955i | \(-0.217337\pi\) |
0.311540 | + | 0.950233i | \(0.399155\pi\) | |||||||
\(282\) | 2.77520 | − | 6.07684i | 0.165261 | − | 0.361870i | ||||
\(283\) | 13.7978 | − | 15.9235i | 0.820194 | − | 0.946554i | −0.179112 | − | 0.983829i | \(-0.557322\pi\) |
0.999305 | + | 0.0372750i | \(0.0118678\pi\) | |||||||
\(284\) | −2.84911 | + | 19.8160i | −0.169063 | + | 1.17586i | ||||
\(285\) | 0.824528 | − | 0.242103i | 0.0488408 | − | 0.0143410i | ||||
\(286\) | 6.12348 | + | 7.06688i | 0.362089 | + | 0.417873i | ||||
\(287\) | −1.33210 | + | 0.856090i | −0.0786315 | + | 0.0505334i | ||||
\(288\) | 6.29469 | − | 4.04535i | 0.370918 | − | 0.238374i | ||||
\(289\) | 11.0019 | + | 12.6969i | 0.647172 | + | 0.746877i | ||||
\(290\) | −24.9500 | + | 7.32598i | −1.46511 | + | 0.430196i | ||||
\(291\) | 0.0110003 | − | 0.0765085i | 0.000644847 | − | 0.00448501i | ||||
\(292\) | −12.3558 | + | 14.2593i | −0.723066 | + | 0.834463i | ||||
\(293\) | −11.5235 | + | 25.2329i | −0.673209 | + | 1.47412i | 0.196474 | + | 0.980509i | \(0.437051\pi\) |
−0.869682 | + | 0.493612i | \(0.835676\pi\) | |||||||
\(294\) | 1.84125 | + | 0.540641i | 0.107384 | + | 0.0315308i | ||||
\(295\) | −16.2587 | − | 35.6016i | −0.946618 | − | 2.07281i | ||||
\(296\) | 0.484083 | + | 3.36687i | 0.0281367 | + | 0.195695i | ||||
\(297\) | −1.01130 | − | 0.649920i | −0.0586813 | − | 0.0377122i | ||||
\(298\) | 34.7792 | 2.01471 | ||||||||
\(299\) | 19.4397 | + | 0.0276647i | 1.12423 | + | 0.00159989i | ||||
\(300\) | 5.76652 | 0.332930 | ||||||||
\(301\) | −1.18633 | − | 0.762407i | −0.0683788 | − | 0.0439444i | ||||
\(302\) | −1.20895 | − | 8.40841i | −0.0695671 | − | 0.483850i | ||||
\(303\) | 7.33699 | + | 16.0658i | 0.421499 | + | 0.922954i | ||||
\(304\) | −1.28783 | − | 0.378142i | −0.0738623 | − | 0.0216879i | ||||
\(305\) | 5.10752 | − | 11.1839i | 0.292456 | − | 0.640389i | ||||
\(306\) | −0.561418 | + | 0.647911i | −0.0320941 | + | 0.0370386i | ||||
\(307\) | 1.09159 | − | 7.59220i | 0.0623005 | − | 0.433310i | −0.934669 | − | 0.355519i | \(-0.884304\pi\) |
0.996970 | − | 0.0777911i | \(-0.0247867\pi\) | |||||||
\(308\) | 1.94066 | − | 0.569830i | 0.110579 | − | 0.0324691i | ||||
\(309\) | −2.59749 | − | 2.99766i | −0.147766 | − | 0.170531i | ||||
\(310\) | −17.0902 | + | 10.9832i | −0.970660 | + | 0.623805i | ||||
\(311\) | −12.1727 | + | 7.82290i | −0.690249 | + | 0.443596i | −0.838174 | − | 0.545402i | \(-0.816377\pi\) |
0.147925 | + | 0.988999i | \(0.452740\pi\) | |||||||
\(312\) | 1.61727 | + | 1.86642i | 0.0915597 | + | 0.105665i | ||||
\(313\) | −13.5303 | + | 3.97286i | −0.764779 | + | 0.224560i | −0.640782 | − | 0.767723i | \(-0.721390\pi\) |
−0.123998 | + | 0.992283i | \(0.539572\pi\) | |||||||
\(314\) | −4.33260 | + | 30.1339i | −0.244503 | + | 1.70056i | ||||
\(315\) | −1.90105 | + | 2.19393i | −0.107112 | + | 0.123614i | ||||
\(316\) | 4.99753 | − | 10.9431i | 0.281133 | − | 0.615595i | ||||
\(317\) | −22.9933 | − | 6.75144i | −1.29143 | − | 0.379199i | −0.437329 | − | 0.899302i | \(-0.644075\pi\) |
−0.854104 | + | 0.520103i | \(0.825894\pi\) | |||||||
\(318\) | 9.21912 | + | 20.1870i | 0.516982 | + | 1.13203i | ||||
\(319\) | −0.798570 | − | 5.55418i | −0.0447113 | − | 0.310974i | ||||
\(320\) | −12.9201 | − | 8.30323i | −0.722255 | − | 0.464165i | ||||
\(321\) | −0.523314 | −0.0292085 | ||||||||
\(322\) | 3.83503 | − | 8.36602i | 0.213718 | − | 0.466220i | ||||
\(323\) | 0.132246 | 0.00735839 | ||||||||
\(324\) | 1.41542 | + | 0.909632i | 0.0786342 | + | 0.0505351i | ||||
\(325\) | 1.97712 | + | 13.7512i | 0.109671 | + | 0.762779i | ||||
\(326\) | −1.57598 | − | 3.45090i | −0.0872852 | − | 0.191128i | ||||
\(327\) | 5.55237 | + | 1.63032i | 0.307047 | + | 0.0901571i | ||||
\(328\) | −0.400773 | + | 0.877571i | −0.0221290 | + | 0.0484557i | ||||
\(329\) | 2.27976 | − | 2.63098i | 0.125687 | − | 0.145051i | ||||
\(330\) | −0.953056 | + | 6.62865i | −0.0524640 | + | 0.364895i | ||||
\(331\) | −20.0779 | + | 5.89539i | −1.10358 | + | 0.324040i | −0.782273 | − | 0.622935i | \(-0.785940\pi\) |
−0.321306 | + | 0.946975i | \(0.604122\pi\) | |||||||
\(332\) | −0.0292348 | − | 0.0337387i | −0.00160447 | − | 0.00185165i | ||||
\(333\) | −4.69667 | + | 3.01837i | −0.257376 | + | 0.165406i | ||||
\(334\) | −22.6594 | + | 14.5623i | −1.23987 | + | 0.796814i | ||||
\(335\) | −6.80407 | − | 7.85231i | −0.371746 | − | 0.429018i | ||||
\(336\) | 4.35052 | − | 1.27743i | 0.237340 | − | 0.0696894i | ||||
\(337\) | 2.03640 | − | 14.1634i | 0.110930 | − | 0.771532i | −0.856089 | − | 0.516828i | \(-0.827113\pi\) |
0.967019 | − | 0.254704i | \(-0.0819782\pi\) | |||||||
\(338\) | 4.31112 | − | 4.97530i | 0.234494 | − | 0.270621i | ||||
\(339\) | 7.51767 | − | 16.4614i | 0.408304 | − | 0.894060i | ||||
\(340\) | 2.09368 | + | 0.614759i | 0.113545 | + | 0.0333400i | ||||
\(341\) | −1.82111 | − | 3.98768i | −0.0986189 | − | 0.215945i | ||||
\(342\) | −0.0808426 | − | 0.562273i | −0.00437147 | − | 0.0304042i | ||||
\(343\) | 0.841254 | + | 0.540641i | 0.0454234 | + | 0.0291919i | ||||
\(344\) | −0.859179 | −0.0463238 | ||||||||
\(345\) | 9.10215 | + | 10.5347i | 0.490043 | + | 0.567169i | ||||
\(346\) | 12.6973 | 0.682611 | ||||||||
\(347\) | 16.2732 | + | 10.4582i | 0.873591 | + | 0.561423i | 0.898849 | − | 0.438258i | \(-0.144404\pi\) |
−0.0252580 | + | 0.999681i | \(0.508041\pi\) | |||||||
\(348\) | 1.11768 | + | 7.77366i | 0.0599141 | + | 0.416712i | ||||
\(349\) | 0.384187 | + | 0.841253i | 0.0205651 | + | 0.0450312i | 0.919636 | − | 0.392772i | \(-0.128484\pi\) |
−0.899071 | + | 0.437803i | \(0.855757\pi\) | |||||||
\(350\) | 6.31060 | + | 1.85296i | 0.337316 | + | 0.0990448i | ||||
\(351\) | −1.68387 | + | 3.68716i | −0.0898784 | + | 0.196806i | ||||
\(352\) | 5.89043 | − | 6.79792i | 0.313961 | − | 0.362330i | ||||
\(353\) | 2.65353 | − | 18.4557i | 0.141233 | − | 0.982297i | −0.788755 | − | 0.614708i | \(-0.789274\pi\) |
0.929988 | − | 0.367590i | \(-0.119817\pi\) | |||||||
\(354\) | −24.8240 | + | 7.28899i | −1.31938 | + | 0.387405i | ||||
\(355\) | −22.6202 | − | 26.1051i | −1.20055 | − | 1.38551i | ||||
\(356\) | −14.9593 | + | 9.61378i | −0.792844 | + | 0.509530i | ||||
\(357\) | −0.375831 | + | 0.241532i | −0.0198911 | + | 0.0127832i | ||||
\(358\) | −28.3078 | − | 32.6689i | −1.49611 | − | 1.72661i | ||||
\(359\) | −1.19924 | + | 0.352130i | −0.0632937 | + | 0.0185847i | −0.313226 | − | 0.949679i | \(-0.601410\pi\) |
0.249932 | + | 0.968263i | \(0.419592\pi\) | |||||||
\(360\) | −0.251710 | + | 1.75068i | −0.0132663 | + | 0.0922692i | ||||
\(361\) | 12.3850 | − | 14.2930i | 0.651841 | − | 0.752264i | ||||
\(362\) | 6.73175 | − | 14.7405i | 0.353813 | − | 0.774742i | ||||
\(363\) | 9.16785 | + | 2.69192i | 0.481187 | + | 0.141289i | ||||
\(364\) | −2.83313 | − | 6.20368i | −0.148496 | − | 0.325161i | ||||
\(365\) | −4.63296 | − | 32.2230i | −0.242500 | − | 1.68663i | ||||
\(366\) | −6.83725 | − | 4.39404i | −0.357389 | − | 0.229680i | ||||
\(367\) | 18.0114 | 0.940185 | 0.470093 | − | 0.882617i | \(-0.344221\pi\) | ||||
0.470093 | + | 0.882617i | \(0.344221\pi\) | |||||||
\(368\) | −3.06403 | − | 21.5282i | −0.159724 | − | 1.12224i | ||||
\(369\) | −1.58347 | −0.0824323 | ||||||||
\(370\) | 26.1642 | + | 16.8147i | 1.36021 | + | 0.874155i | ||||
\(371\) | 1.64583 | + | 11.4470i | 0.0854473 | + | 0.594299i | ||||
\(372\) | 2.54884 | + | 5.58119i | 0.132151 | + | 0.289371i | ||||
\(373\) | 20.7698 | + | 6.09857i | 1.07542 | + | 0.315772i | 0.771045 | − | 0.636780i | \(-0.219734\pi\) |
0.304375 | + | 0.952552i | \(0.401552\pi\) | |||||||
\(374\) | −0.428125 | + | 0.937463i | −0.0221378 | + | 0.0484750i | ||||
\(375\) | 2.98971 | − | 3.45031i | 0.154388 | − | 0.178173i | ||||
\(376\) | 0.301853 | − | 2.09944i | 0.0155669 | − | 0.108270i | ||||
\(377\) | −18.1543 | + | 5.33059i | −0.934996 | + | 0.274539i | ||||
\(378\) | 1.25667 | + | 1.45027i | 0.0646361 | + | 0.0745940i | ||||
\(379\) | 11.4115 | − | 7.33373i | 0.586170 | − | 0.376709i | −0.213684 | − | 0.976903i | \(-0.568546\pi\) |
0.799854 | + | 0.600194i | \(0.204910\pi\) | |||||||
\(380\) | −1.21632 | + | 0.781681i | −0.0623959 | + | 0.0400994i | ||||
\(381\) | 9.22653 | + | 10.6480i | 0.472689 | + | 0.545513i | ||||
\(382\) | −39.9245 | + | 11.7229i | −2.04271 | + | 0.599795i | ||||
\(383\) | 1.21662 | − | 8.46177i | 0.0621663 | − | 0.432376i | −0.934841 | − | 0.355067i | \(-0.884458\pi\) |
0.997007 | − | 0.0773091i | \(-0.0246328\pi\) | |||||||
\(384\) | 3.15165 | − | 3.63720i | 0.160832 | − | 0.185610i | ||||
\(385\) | −1.44970 | + | 3.17440i | −0.0738836 | + | 0.161783i | ||||
\(386\) | −35.8592 | − | 10.5292i | −1.82519 | − | 0.535923i | ||||
\(387\) | −0.585814 | − | 1.28275i | −0.0297786 | − | 0.0652061i | ||||
\(388\) | 0.0185080 | + | 0.128726i | 0.000939602 | + | 0.00653508i | ||||
\(389\) | −0.165993 | − | 0.106677i | −0.00841618 | − | 0.00540875i | 0.536426 | − | 0.843947i | \(-0.319774\pi\) |
−0.544842 | + | 0.838539i | \(0.683410\pi\) | |||||||
\(390\) | 22.5810 | 1.14343 | ||||||||
\(391\) | 0.887270 | + | 1.95019i | 0.0448712 | + | 0.0986253i | ||||
\(392\) | 0.609264 | 0.0307725 | ||||||||
\(393\) | 13.2783 | + | 8.53344i | 0.669801 | + | 0.430455i | ||||
\(394\) | −2.75914 | − | 19.1903i | −0.139004 | − | 0.966792i | ||||
\(395\) | 8.62270 | + | 18.8811i | 0.433855 | + | 0.950010i | ||||
\(396\) | 1.94066 | + | 0.569830i | 0.0975219 | + | 0.0286350i | ||||
\(397\) | −13.6949 | + | 29.9876i | −0.687326 | + | 1.50503i | 0.167363 | + | 0.985895i | \(0.446475\pi\) |
−0.854690 | + | 0.519139i | \(0.826253\pi\) | |||||||
\(398\) | −5.16072 | + | 5.95578i | −0.258683 | + | 0.298537i | ||||
\(399\) | 0.0421278 | − | 0.293005i | 0.00210903 | − | 0.0146686i | ||||
\(400\) | 14.9107 | − | 4.37817i | 0.745535 | − | 0.218909i | ||||
\(401\) | −17.5850 | − | 20.2942i | −0.878154 | − | 1.01344i | −0.999782 | − | 0.0208683i | \(-0.993357\pi\) |
0.121628 | − | 0.992576i | \(-0.461189\pi\) | |||||||
\(402\) | −5.77794 | + | 3.71326i | −0.288177 | + | 0.185200i | ||||
\(403\) | −12.4353 | + | 7.99171i | −0.619448 | + | 0.398095i | ||||
\(404\) | −19.4599 | − | 22.4580i | −0.968168 | − | 1.11733i | ||||
\(405\) | −2.78540 | + | 0.817866i | −0.138407 | + | 0.0406401i | ||||
\(406\) | −1.27478 | + | 8.86626i | −0.0632660 | + | 0.440025i | ||||
\(407\) | −4.39505 | + | 5.07215i | −0.217854 | + | 0.251417i | ||||
\(408\) | −0.113072 | + | 0.247592i | −0.00559788 | + | 0.0122576i | ||||
\(409\) | 6.43959 | + | 1.89084i | 0.318417 | + | 0.0934958i | 0.437036 | − | 0.899444i | \(-0.356028\pi\) |
−0.118618 | + | 0.992940i | \(0.537847\pi\) | |||||||
\(410\) | 3.66446 | + | 8.02404i | 0.180975 | + | 0.396279i | ||||
\(411\) | −0.429922 | − | 2.99017i | −0.0212065 | − | 0.147494i | ||||
\(412\) | 5.61421 | + | 3.60803i | 0.276592 | + | 0.177755i | ||||
\(413\) | −13.4821 | −0.663412 | ||||||||
\(414\) | 7.74924 | − | 4.96457i | 0.380854 | − | 0.243995i | ||||
\(415\) | 0.0770263 | 0.00378107 | ||||||||
\(416\) | −25.5153 | − | 16.3977i | −1.25099 | − | 0.803963i | ||||
\(417\) | 1.61761 | + | 11.2507i | 0.0792146 | + | 0.550949i | ||||
\(418\) | −0.283677 | − | 0.621165i | −0.0138751 | − | 0.0303822i | ||||
\(419\) | 4.30211 | + | 1.26321i | 0.210172 | + | 0.0617120i | 0.385124 | − | 0.922865i | \(-0.374159\pi\) |
−0.174952 | + | 0.984577i | \(0.555977\pi\) | |||||||
\(420\) | 2.02901 | − | 4.44291i | 0.0990056 | − | 0.216792i | ||||
\(421\) | −26.7489 | + | 30.8698i | −1.30366 | + | 1.50450i | −0.579200 | + | 0.815185i | \(0.696635\pi\) |
−0.724459 | + | 0.689318i | \(0.757910\pi\) | |||||||
\(422\) | −6.22243 | + | 43.2779i | −0.302903 | + | 2.10674i | ||||
\(423\) | 3.34027 | − | 0.980792i | 0.162410 | − | 0.0476878i | ||||
\(424\) | 4.61413 | + | 5.32499i | 0.224082 | + | 0.258605i | ||||
\(425\) | −1.28810 | + | 0.827811i | −0.0624820 | + | 0.0401547i | ||||
\(426\) | −19.2088 | + | 12.3447i | −0.930669 | + | 0.598105i | ||||
\(427\) | −2.77352 | − | 3.20082i | −0.134220 | − | 0.154898i | ||||
\(428\) | 0.844814 | − | 0.248060i | 0.0408356 | − | 0.0119904i | ||||
\(429\) | −0.693470 | + | 4.82319i | −0.0334811 | + | 0.232866i | ||||
\(430\) | −5.14451 | + | 5.93708i | −0.248090 | + | 0.286311i | ||||
\(431\) | 16.9646 | − | 37.1474i | 0.817158 | − | 1.78933i | 0.244236 | − | 0.969716i | \(-0.421463\pi\) |
0.572922 | − | 0.819610i | \(-0.305810\pi\) | |||||||
\(432\) | 4.35052 | + | 1.27743i | 0.209314 | + | 0.0614602i | ||||
\(433\) | 16.3503 | + | 35.8022i | 0.785746 | + | 1.72054i | 0.688444 | + | 0.725290i | \(0.258294\pi\) |
0.0973023 | + | 0.995255i | \(0.468979\pi\) | |||||||
\(434\) | 0.995924 | + | 6.92680i | 0.0478059 | + | 0.332497i | ||||
\(435\) | −11.3994 | − | 7.32598i | −0.546562 | − | 0.351254i | ||||
\(436\) | −9.73629 | −0.466284 | ||||||||
\(437\) | −1.36158 | − | 0.401901i | −0.0651331 | − | 0.0192255i | ||||
\(438\) | −21.5197 | −1.02825 | ||||||||
\(439\) | 16.5106 | + | 10.6107i | 0.788007 | + | 0.506421i | 0.871682 | − | 0.490072i | \(-0.163029\pi\) |
−0.0836753 | + | 0.996493i | \(0.526666\pi\) | |||||||
\(440\) | 0.302588 | + | 2.10455i | 0.0144253 | + | 0.100330i | ||||
\(441\) | 0.415415 | + | 0.909632i | 0.0197817 | + | 0.0433158i | ||||
\(442\) | 3.33431 | + | 0.979041i | 0.158597 | + | 0.0465682i | ||||
\(443\) | −9.85390 | + | 21.5770i | −0.468173 | + | 1.02516i | 0.517375 | + | 0.855759i | \(0.326909\pi\) |
−0.985548 | + | 0.169397i | \(0.945818\pi\) | |||||||
\(444\) | 6.15133 | − | 7.09902i | 0.291929 | − | 0.336905i | ||||
\(445\) | 4.36641 | − | 30.3690i | 0.206987 | − | 1.43963i | ||||
\(446\) | −29.5264 | + | 8.66974i | −1.39812 | + | 0.410524i | ||||
\(447\) | 11.8685 | + | 13.6970i | 0.561363 | + | 0.647847i | ||||
\(448\) | −4.45062 | + | 2.86024i | −0.210272 | + | 0.135133i | ||||
\(449\) | 14.5774 | − | 9.36836i | 0.687952 | − | 0.442120i | −0.149405 | − | 0.988776i | \(-0.547736\pi\) |
0.837357 | + | 0.546656i | \(0.184099\pi\) | |||||||
\(450\) | 4.30703 | + | 4.97057i | 0.203035 | + | 0.234315i | ||||
\(451\) | −1.82643 | + | 0.536289i | −0.0860033 | + | 0.0252528i | ||||
\(452\) | −4.33319 | + | 30.1380i | −0.203816 | + | 1.41757i | ||||
\(453\) | 2.89891 | − | 3.34552i | 0.136202 | − | 0.157186i | ||||
\(454\) | −3.31435 | + | 7.25742i | −0.155550 | + | 0.340607i | ||||
\(455\) | 11.2905 | + | 3.31519i | 0.529307 | + | 0.155419i | ||||
\(456\) | −0.0749215 | − | 0.164055i | −0.00350852 | − | 0.00768259i | ||||
\(457\) | 1.91255 | + | 13.3021i | 0.0894653 | + | 0.622245i | 0.984386 | + | 0.176021i | \(0.0563226\pi\) |
−0.894921 | + | 0.446224i | \(0.852768\pi\) | |||||||
\(458\) | −23.8189 | − | 15.3075i | −1.11298 | − | 0.715272i | ||||
\(459\) | −0.446751 | −0.0208525 | ||||||||
\(460\) | −19.6877 | − | 12.6921i | −0.917944 | − | 0.591774i | ||||
\(461\) | −21.9771 | −1.02357 | −0.511787 | − | 0.859112i | \(-0.671016\pi\) | ||||
−0.511787 | + | 0.859112i | \(0.671016\pi\) | |||||||
\(462\) | 1.94066 | + | 1.24719i | 0.0902877 | + | 0.0580244i | ||||
\(463\) | 1.20109 | + | 8.35379i | 0.0558196 | + | 0.388234i | 0.998510 | + | 0.0545655i | \(0.0173774\pi\) |
−0.942691 | + | 0.333668i | \(0.891714\pi\) | |||||||
\(464\) | 8.79211 | + | 19.2520i | 0.408163 | + | 0.893753i | ||||
\(465\) | −10.1576 | − | 2.98254i | −0.471047 | − | 0.138312i | ||||
\(466\) | −8.15400 | + | 17.8548i | −0.377727 | + | 0.827106i | ||||
\(467\) | 18.5490 | − | 21.4067i | 0.858347 | − | 0.990586i | −0.141652 | − | 0.989916i | \(-0.545242\pi\) |
1.00000 | 0.000669154i | \(-0.000212998\pi\) | ||||||||
\(468\) | 0.970585 | − | 6.75057i | 0.0448653 | − | 0.312045i | ||||
\(469\) | −3.43413 | + | 1.00835i | −0.158573 | + | 0.0465613i | ||||
\(470\) | −12.7001 | − | 14.6567i | −0.585810 | − | 0.676061i | ||||
\(471\) | −13.3461 | + | 8.57701i | −0.614955 | + | 0.395208i | ||||
\(472\) | −6.91021 | + | 4.44092i | −0.318068 | + | 0.204410i | ||||
\(473\) | −1.11014 | − | 1.28117i | −0.0510443 | − | 0.0589083i | ||||
\(474\) | 13.1653 | − | 3.86567i | 0.604701 | − | 0.177556i | ||||
\(475\) | 0.144386 | − | 1.00423i | 0.00662489 | − | 0.0460771i | ||||
\(476\) | 0.492234 | − | 0.568068i | 0.0225615 | − | 0.0260373i | ||||
\(477\) | −4.80416 | + | 10.5196i | −0.219967 | + | 0.481661i | ||||
\(478\) | −6.71358 | − | 1.97129i | −0.307072 | − | 0.0901645i | ||||
\(479\) | −13.9645 | − | 30.5781i | −0.638056 | − | 1.39715i | −0.901630 | − | 0.432508i | \(-0.857629\pi\) |
0.263575 | − | 0.964639i | \(-0.415098\pi\) | |||||||
\(480\) | −3.09131 | − | 21.5005i | −0.141098 | − | 0.981360i | ||||
\(481\) | 19.0378 | + | 12.2349i | 0.868050 | + | 0.557862i | ||||
\(482\) | 30.0761 | 1.36993 | ||||||||
\(483\) | 4.60348 | − | 1.34459i | 0.209466 | − | 0.0611811i | ||||
\(484\) | −16.0762 | −0.730735 | ||||||||
\(485\) | −0.188766 | − | 0.121313i | −0.00857144 | − | 0.00550853i | ||||
\(486\) | 0.273100 | + | 1.89945i | 0.0123881 | + | 0.0861610i | ||||
\(487\) | −3.75489 | − | 8.22206i | −0.170150 | − | 0.372577i | 0.805277 | − | 0.592899i | \(-0.202017\pi\) |
−0.975427 | + | 0.220322i | \(0.929289\pi\) | |||||||
\(488\) | −2.47589 | − | 0.726986i | −0.112078 | − | 0.0329091i | ||||
\(489\) | 0.821254 | − | 1.79830i | 0.0371384 | − | 0.0813218i | ||||
\(490\) | 3.64809 | − | 4.21012i | 0.164804 | − | 0.190194i | ||||
\(491\) | −0.832831 | + | 5.79247i | −0.0375852 | + | 0.261410i | −0.999946 | − | 0.0103634i | \(-0.996701\pi\) |
0.962361 | + | 0.271774i | \(0.0876103\pi\) | |||||||
\(492\) | 2.55628 | − | 0.750593i | 0.115246 | − | 0.0338393i | ||||
\(493\) | −1.36561 | − | 1.57600i | −0.0615039 | − | 0.0709793i | ||||
\(494\) | −1.93706 | + | 1.24488i | −0.0871526 | + | 0.0560096i | ||||
\(495\) | −2.93578 | + | 1.88671i | −0.131953 | + | 0.0848013i | ||||
\(496\) | 10.8281 | + | 12.4963i | 0.486196 | + | 0.561100i | ||||
\(497\) | −11.4168 | + | 3.35227i | −0.512112 | + | 0.150370i | ||||
\(498\) | 0.00724629 | − | 0.0503991i | 0.000324714 | − | 0.00225844i | ||||
\(499\) | 24.7024 | − | 28.5080i | 1.10583 | − | 1.27620i | 0.147959 | − | 0.988993i | \(-0.452730\pi\) |
0.957870 | − | 0.287202i | \(-0.0927250\pi\) | |||||||
\(500\) | −3.19095 | + | 6.98720i | −0.142704 | + | 0.312477i | ||||
\(501\) | −13.4676 | − | 3.95445i | −0.601689 | − | 0.176672i | ||||
\(502\) | 9.92809 | + | 21.7395i | 0.443112 | + | 0.970280i | ||||
\(503\) | −2.80101 | − | 19.4815i | −0.124891 | − | 0.868636i | −0.951892 | − | 0.306435i | \(-0.900864\pi\) |
0.827001 | − | 0.562201i | \(-0.190045\pi\) | |||||||
\(504\) | 0.512546 | + | 0.329393i | 0.0228306 | + | 0.0146723i | ||||
\(505\) | 51.2721 | 2.28158 | ||||||||
\(506\) | 7.25685 | − | 8.35080i | 0.322606 | − | 0.371239i | ||||
\(507\) | 3.43060 | 0.152358 | ||||||||
\(508\) | −19.9422 | − | 12.8161i | −0.884792 | − | 0.568621i | ||||
\(509\) | 4.29334 | + | 29.8608i | 0.190299 | + | 1.32356i | 0.831217 | + | 0.555948i | \(0.187645\pi\) |
−0.640918 | + | 0.767609i | \(0.721446\pi\) | |||||||
\(510\) | 1.03387 | + | 2.26385i | 0.0457804 | + | 0.100245i | ||||
\(511\) | −10.7598 | − | 3.15937i | −0.475987 | − | 0.139762i | ||||
\(512\) | −11.7986 | + | 25.8354i | −0.521431 | + | 1.14177i | ||||
\(513\) | 0.193851 | − | 0.223716i | 0.00855872 | − | 0.00987729i | ||||
\(514\) | 6.05578 | − | 42.1189i | 0.267109 | − | 1.85779i | ||||
\(515\) | −11.0482 | + | 3.24405i | −0.486842 | + | 0.142950i | ||||
\(516\) | 1.55376 | + | 1.79313i | 0.0684004 | + | 0.0789383i | ||||
\(517\) | 3.52061 | − | 2.26256i | 0.154836 | − | 0.0995072i | ||||
\(518\) | 9.01285 | − | 5.79221i | 0.396002 | − | 0.254495i | ||||
\(519\) | 4.33300 | + | 5.00054i | 0.190197 | + | 0.219500i | ||||
\(520\) | 6.87891 | − | 2.01983i | 0.301660 | − | 0.0885754i | ||||
\(521\) | 2.26432 | − | 15.7487i | 0.0992019 | − | 0.689964i | −0.878157 | − | 0.478373i | \(-0.841227\pi\) |
0.977358 | − | 0.211591i | \(-0.0678644\pi\) | |||||||
\(522\) | −5.86587 | + | 6.76958i | −0.256742 | + | 0.296296i | ||||
\(523\) | −13.5710 | + | 29.7164i | −0.593420 | + | 1.29941i | 0.339933 | + | 0.940450i | \(0.389596\pi\) |
−0.933353 | + | 0.358959i | \(0.883132\pi\) | |||||||
\(524\) | −25.4809 | − | 7.48186i | −1.11314 | − | 0.326846i | ||||
\(525\) | 1.42377 | + | 3.11762i | 0.0621383 | + | 0.136064i | ||||
\(526\) | 2.35166 | + | 16.3561i | 0.102537 | + | 0.713162i | ||||
\(527\) | −1.37055 | − | 0.880802i | −0.0597023 | − | 0.0383683i | ||||
\(528\) | 5.45067 | 0.237210 | ||||||||
\(529\) | −3.20843 | − | 22.7751i | −0.139497 | − | 0.990222i | ||||
\(530\) | 64.4247 | 2.79843 | ||||||||
\(531\) | −11.3419 | − | 7.28899i | −0.492196 | − | 0.316315i | ||||
\(532\) | 0.0708803 | + | 0.492983i | 0.00307305 | + | 0.0213735i | ||||
\(533\) | 2.66636 | + | 5.83852i | 0.115493 | + | 0.252894i | ||||
\(534\) | −19.4600 | − | 5.71396i | −0.842115 | − | 0.247267i | ||||
\(535\) | −0.631088 | + | 1.38189i | −0.0272843 | + | 0.0597443i | ||||
\(536\) | −1.42800 | + | 1.64800i | −0.0616803 | + | 0.0711829i | ||||
\(537\) | 3.20579 | − | 22.2968i | 0.138340 | − | 0.962177i | ||||
\(538\) | 41.6426 | − | 12.2274i | 1.79534 | − | 0.527159i | ||||
\(539\) | 0.787227 | + | 0.908508i | 0.0339083 | + | 0.0391322i | ||||
\(540\) | 4.10893 | − | 2.64065i | 0.176820 | − | 0.113636i | ||||
\(541\) | −20.0450 | + | 12.8821i | −0.861801 | + | 0.553846i | −0.895235 | − | 0.445595i | \(-0.852992\pi\) |
0.0334337 | + | 0.999441i | \(0.489356\pi\) | |||||||
\(542\) | 18.6946 | + | 21.5747i | 0.803000 | + | 0.926712i | ||||
\(543\) | 8.10243 | − | 2.37909i | 0.347709 | − | 0.102096i | ||||
\(544\) | 0.475732 | − | 3.30879i | 0.0203969 | − | 0.141863i | ||||
\(545\) | 11.0010 | − | 12.6958i | 0.471229 | − | 0.543828i | ||||
\(546\) | 3.23133 | − | 7.07562i | 0.138288 | − | 0.302808i | ||||
\(547\) | −20.9981 | − | 6.16561i | −0.897816 | − | 0.263622i | −0.199912 | − | 0.979814i | \(-0.564066\pi\) |
−0.697904 | + | 0.716191i | \(0.745884\pi\) | |||||||
\(548\) | 2.11144 | + | 4.62340i | 0.0901962 | + | 0.197502i | ||||
\(549\) | −0.602744 | − | 4.19218i | −0.0257245 | − | 0.178918i | ||||
\(550\) | 6.65130 | + | 4.27453i | 0.283612 | + | 0.182267i | ||||
\(551\) | 1.38175 | 0.0588646 | ||||||||
\(552\) | 1.91660 | − | 2.20552i | 0.0815758 | − | 0.0938732i | ||||
\(553\) | 7.15016 | 0.304056 | ||||||||
\(554\) | 42.4967 | + | 27.3110i | 1.80551 | + | 1.16033i | ||||
\(555\) | 2.30653 | + | 16.0423i | 0.0979067 | + | 0.680956i | ||||
\(556\) | −7.94442 | − | 17.3958i | −0.336918 | − | 0.737748i | ||||
\(557\) | −34.7233 | − | 10.1957i | −1.47127 | − | 0.432004i | −0.554760 | − | 0.832011i | \(-0.687190\pi\) |
−0.916512 | + | 0.400006i | \(0.869008\pi\) | |||||||
\(558\) | −2.90709 | + | 6.36563i | −0.123067 | + | 0.269479i | ||||
\(559\) | −3.74329 | + | 4.31999i | −0.158324 | + | 0.182716i | ||||
\(560\) | 1.87324 | − | 13.0287i | 0.0791590 | − | 0.550563i | ||||
\(561\) | −0.515298 | + | 0.151305i | −0.0217559 | + | 0.00638811i | ||||
\(562\) | −23.8729 | − | 27.5508i | −1.00702 | − | 1.16216i | ||||
\(563\) | 32.5347 | − | 20.9088i | 1.37117 | − | 0.881201i | 0.372276 | − | 0.928122i | \(-0.378577\pi\) |
0.998899 | + | 0.0469213i | \(0.0149410\pi\) | |||||||
\(564\) | −4.92747 | + | 3.16669i | −0.207484 | + | 0.133342i | ||||
\(565\) | −34.4029 | − | 39.7031i | −1.44734 | − | 1.67032i | ||||
\(566\) | −38.7949 | + | 11.3912i | −1.63067 | + | 0.478808i | ||||
\(567\) | −0.142315 | + | 0.989821i | −0.00597666 | + | 0.0415686i | ||||
\(568\) | −4.74740 | + | 5.47880i | −0.199197 | + | 0.229885i | ||||
\(569\) | 3.78035 | − | 8.27782i | 0.158481 | − | 0.347024i | −0.813690 | − | 0.581300i | \(-0.802544\pi\) |
0.972170 | + | 0.234275i | \(0.0752717\pi\) | |||||||
\(570\) | −1.58226 | − | 0.464593i | −0.0662735 | − | 0.0194597i | ||||
\(571\) | 14.9750 | + | 32.7907i | 0.626685 | + | 1.37225i | 0.910556 | + | 0.413385i | \(0.135654\pi\) |
−0.283872 | + | 0.958862i | \(0.591619\pi\) | |||||||
\(572\) | −1.16677 | − | 8.11505i | −0.0487851 | − | 0.339307i | ||||
\(573\) | −18.2412 | − | 11.7229i | −0.762035 | − | 0.489730i | ||||
\(574\) | 3.03866 | 0.126831 | ||||||||
\(575\) | 15.7777 | − | 4.60837i | 0.657975 | − | 0.192182i | ||||
\(576\) | −5.29046 | −0.220436 | ||||||||
\(577\) | 28.8955 | + | 18.5700i | 1.20294 | + | 0.773081i | 0.979462 | − | 0.201629i | \(-0.0646235\pi\) |
0.223475 | + | 0.974710i | \(0.428260\pi\) | |||||||
\(578\) | −4.58820 | − | 31.9116i | −0.190844 | − | 1.32735i | ||||
\(579\) | −8.09039 | − | 17.7155i | −0.336225 | − | 0.736230i | ||||
\(580\) | 21.8754 | + | 6.42319i | 0.908326 | + | 0.266709i | ||||
\(581\) | 0.0110224 | − | 0.0241357i | 0.000457286 | − | 0.00100132i | ||||
\(582\) | −0.0971345 | + | 0.112099i | −0.00402635 | + | 0.00464666i | ||||
\(583\) | −1.97850 | + | 13.7608i | −0.0819412 | + | 0.569913i | ||||
\(584\) | −6.55558 | + | 1.92489i | −0.271272 | + | 0.0796526i | ||||
\(585\) | 7.70586 | + | 8.89303i | 0.318598 | + | 0.367682i | ||||
\(586\) | 44.7816 | − | 28.7794i | 1.84991 | − | 1.18887i | ||||
\(587\) | −6.87638 | + | 4.41918i | −0.283818 | + | 0.182399i | −0.674802 | − | 0.737998i | \(-0.735771\pi\) |
0.390984 | + | 0.920397i | \(0.372135\pi\) | |||||||
\(588\) | −1.10181 | − | 1.27155i | −0.0454378 | − | 0.0524380i | ||||
\(589\) | 1.03577 | − | 0.304130i | 0.0426783 | − | 0.0125315i | ||||
\(590\) | −10.6887 | + | 74.3417i | −0.440048 | + | 3.06060i | ||||
\(591\) | 6.61609 | − | 7.63537i | 0.272150 | − | 0.314077i | ||||
\(592\) | 10.5159 | − | 23.0265i | 0.432199 | − | 0.946384i | ||||
\(593\) | 25.4459 | + | 7.47159i | 1.04494 | + | 0.306821i | 0.758770 | − | 0.651359i | \(-0.225801\pi\) |
0.286167 | + | 0.958180i | \(0.407619\pi\) | |||||||
\(594\) | 0.958308 | + | 2.09840i | 0.0393198 | + | 0.0860984i | ||||
\(595\) | 0.184570 | + | 1.28371i | 0.00756663 | + | 0.0526270i | ||||
\(596\) | −25.6526 | − | 16.4860i | −1.05077 | − | 0.675291i | ||||
\(597\) | −4.10666 | −0.168075 | ||||||||
\(598\) | −31.3539 | − | 20.2130i | −1.28216 | − | 0.826572i | ||||
\(599\) | 19.5398 | 0.798375 | 0.399188 | − | 0.916869i | \(-0.369292\pi\) | ||||
0.399188 | + | 0.916869i | \(0.369292\pi\) | |||||||
\(600\) | 1.75667 | + | 1.12894i | 0.0717157 | + | 0.0460889i | ||||
\(601\) | −2.83902 | − | 19.7458i | −0.115806 | − | 0.805448i | −0.962093 | − | 0.272721i | \(-0.912076\pi\) |
0.846287 | − | 0.532727i | \(-0.178833\pi\) | |||||||
\(602\) | 1.12417 | + | 2.46159i | 0.0458177 | + | 0.100327i | ||||
\(603\) | −3.43413 | − | 1.00835i | −0.139848 | − | 0.0410632i | ||||
\(604\) | −3.09403 | + | 6.77498i | −0.125894 | + | 0.275670i | ||||
\(605\) | 18.1643 | − | 20.9628i | 0.738486 | − | 0.852258i | ||||
\(606\) | 4.82345 | − | 33.5478i | 0.195939 | − | 1.36279i | ||||
\(607\) | −29.2282 | + | 8.58218i | −1.18634 | + | 0.348340i | −0.814614 | − | 0.580004i | \(-0.803051\pi\) |
−0.371723 | + | 0.928344i | \(0.621233\pi\) | |||||||
\(608\) | 1.45049 | + | 1.67395i | 0.0588251 | + | 0.0678878i | ||||
\(609\) | −3.92680 | + | 2.52360i | −0.159122 | + | 0.102261i | ||||
\(610\) | −19.8485 | + | 12.7558i | −0.803641 | + | 0.516468i | ||||
\(611\) | −9.24093 | − | 10.6646i | −0.373848 | − | 0.431444i | ||||
\(612\) | 0.721214 | − | 0.211768i | 0.0291533 | − | 0.00856019i | ||||
\(613\) | 2.23998 | − | 15.5794i | 0.0904721 | − | 0.629247i | −0.893251 | − | 0.449558i | \(-0.851582\pi\) |
0.983723 | − | 0.179690i | \(-0.0575093\pi\) | |||||||
\(614\) | −9.63899 | + | 11.1240i | −0.388998 | + | 0.448928i | ||||
\(615\) | −1.90958 | + | 4.18140i | −0.0770017 | + | 0.168610i | ||||
\(616\) | 0.702746 | + | 0.206345i | 0.0283145 | + | 0.00831388i | ||||
\(617\) | −6.18378 | − | 13.5406i | −0.248950 | − | 0.545124i | 0.743362 | − | 0.668890i | \(-0.233230\pi\) |
−0.992311 | + | 0.123766i | \(0.960503\pi\) | |||||||
\(618\) | 1.08325 | + | 7.53414i | 0.0435745 | + | 0.303068i | ||||
\(619\) | 20.7947 | + | 13.3639i | 0.835810 | + | 0.537142i | 0.887119 | − | 0.461540i | \(-0.152703\pi\) |
−0.0513094 | + | 0.998683i | \(0.516339\pi\) | |||||||
\(620\) | 17.8117 | 0.715336 | ||||||||
\(621\) | 4.59964 | + | 1.35769i | 0.184577 | + | 0.0544822i | ||||
\(622\) | 27.7671 | 1.11336 | ||||||||
\(623\) | −8.89110 | − | 5.71396i | −0.356214 | − | 0.228925i | ||||
\(624\) | −2.61563 | − | 18.1921i | −0.104709 | − | 0.728267i | ||||
\(625\) | −12.6245 | − | 27.6438i | −0.504979 | − | 1.10575i | ||||
\(626\) | 25.9645 | + | 7.62387i | 1.03775 | + | 0.304711i | ||||
\(627\) | 0.147826 | − | 0.323694i | 0.00590361 | − | 0.0129271i | ||||
\(628\) | 17.4797 | − | 20.1726i | 0.697514 | − | 0.804974i | ||||
\(629\) | −0.354960 | + | 2.46880i | −0.0141532 | + | 0.0984375i | ||||
\(630\) | 5.34514 | − | 1.56947i | 0.212955 | − | 0.0625293i | ||||
\(631\) | 7.82029 | + | 9.02509i | 0.311321 | + | 0.359283i | 0.889749 | − | 0.456450i | \(-0.150879\pi\) |
−0.578428 | + | 0.815733i | \(0.696334\pi\) | |||||||
\(632\) | 3.66479 | − | 2.35522i | 0.145777 | − | 0.0936854i | ||||
\(633\) | −19.1675 | + | 12.3182i | −0.761838 | + | 0.489604i | ||||
\(634\) | 30.1148 | + | 34.7544i | 1.19601 | + | 1.38027i | ||||
\(635\) | 39.2443 | − | 11.5232i | 1.55736 | − | 0.457283i | ||||
\(636\) | 2.76912 | − | 19.2597i | 0.109803 | − | 0.763696i | ||||
\(637\) | 2.65446 | − | 3.06341i | 0.105173 | − | 0.121377i | ||||
\(638\) | −4.47318 | + | 9.79491i | −0.177095 | + | 0.387784i | ||||
\(639\) | −11.4168 | − | 3.35227i | −0.451640 | − | 0.132614i | ||||
\(640\) | −5.80385 | − | 12.7087i | −0.229417 | − | 0.502354i | ||||
\(641\) | −2.31863 | − | 16.1264i | −0.0915802 | − | 0.636954i | −0.982977 | − | 0.183730i | \(-0.941183\pi\) |
0.891397 | − | 0.453224i | \(-0.149726\pi\) | |||||||
\(642\) | 0.844814 | + | 0.542929i | 0.0333422 | + | 0.0214277i | ||||
\(643\) | −34.3064 | −1.35291 | −0.676455 | − | 0.736484i | \(-0.736485\pi\) | ||||
−0.676455 | + | 0.736484i | \(0.736485\pi\) | |||||||
\(644\) | −6.79429 | + | 4.35278i | −0.267733 | + | 0.171523i | ||||
\(645\) | −4.09377 | −0.161192 | ||||||||
\(646\) | −0.213492 | − | 0.137203i | −0.00839975 | − | 0.00539819i | ||||
\(647\) | 0.710436 | + | 4.94119i | 0.0279301 | + | 0.194258i | 0.999009 | − | 0.0444989i | \(-0.0141691\pi\) |
−0.971079 | + | 0.238757i | \(0.923260\pi\) | |||||||
\(648\) | 0.253098 | + | 0.554206i | 0.00994261 | + | 0.0217713i | ||||
\(649\) | −15.5508 | − | 4.56611i | −0.610420 | − | 0.179236i | ||||
\(650\) | 11.0748 | − | 24.2505i | 0.434391 | − | 0.951184i | ||||
\(651\) | −2.38810 | + | 2.75602i | −0.0935971 | + | 0.108017i | ||||
\(652\) | −0.473372 | + | 3.29237i | −0.0185387 | + | 0.128939i | ||||
\(653\) | 15.9815 | − | 4.69258i | 0.625403 | − | 0.183635i | 0.0463505 | − | 0.998925i | \(-0.485241\pi\) |
0.579052 | + | 0.815290i | \(0.303423\pi\) | |||||||
\(654\) | −7.27206 | − | 8.39240i | −0.284360 | − | 0.328169i | ||||
\(655\) | 38.5467 | − | 24.7725i | 1.50615 | − | 0.967941i | ||||
\(656\) | 6.04000 | − | 3.88167i | 0.235822 | − | 0.151554i | ||||
\(657\) | −7.34366 | − | 8.47503i | −0.286503 | − | 0.330643i | ||||
\(658\) | −6.40993 | + | 1.88213i | −0.249885 | + | 0.0733729i | ||||
\(659\) | −1.74111 | + | 12.1097i | −0.0678240 | + | 0.471726i | 0.927397 | + | 0.374078i | \(0.122041\pi\) |
−0.995221 | + | 0.0976477i | \(0.968868\pi\) | |||||||
\(660\) | 3.84505 | − | 4.43743i | 0.149668 | − | 0.172727i | ||||
\(661\) | −13.2195 | + | 28.9467i | −0.514179 | + | 1.12590i | 0.457417 | + | 0.889252i | \(0.348775\pi\) |
−0.971597 | + | 0.236644i | \(0.923953\pi\) | |||||||
\(662\) | 38.5291 | + | 11.3132i | 1.49748 | + | 0.439699i | ||||
\(663\) | 0.752271 | + | 1.64724i | 0.0292158 | + | 0.0639736i | ||||
\(664\) | −0.00230065 | − | 0.0160013i | −8.92824e−5 | − | 0.000620973i | ||||
\(665\) | −0.722921 | − | 0.464593i | −0.0280337 | − | 0.0180161i | ||||
\(666\) | 10.7136 | 0.415143 | ||||||||
\(667\) | 9.27047 | + | 20.3762i | 0.358954 | + | 0.788969i | ||||
\(668\) | 23.6160 | 0.913730 | ||||||||
\(669\) | −13.4904 | − | 8.66974i | −0.521568 | − | 0.335192i | ||||
\(670\) | 2.83754 | + | 19.7355i | 0.109624 | + | 0.762449i | ||||
\(671\) | −2.11503 | − | 4.63127i | −0.0816497 | − | 0.178788i | ||||
\(672\) | −7.17941 | − | 2.10807i | −0.276952 | − | 0.0813204i | ||||
\(673\) | −21.0071 | + | 45.9991i | −0.809764 | + | 1.77314i | −0.201345 | + | 0.979520i | \(0.564531\pi\) |
−0.608419 | + | 0.793616i | \(0.708196\pi\) | |||||||
\(674\) | −17.9818 | + | 20.7521i | −0.692633 | + | 0.799341i | ||||
\(675\) | −0.487761 | + | 3.39245i | −0.0187739 | + | 0.130576i | ||||
\(676\) | −5.53820 | + | 1.62616i | −0.213008 | + | 0.0625447i | ||||
\(677\) | −8.38542 | − | 9.67728i | −0.322278 | − | 0.371928i | 0.571374 | − | 0.820690i | \(-0.306411\pi\) |
−0.893651 | + | 0.448762i | \(0.851865\pi\) | |||||||
\(678\) | −29.2146 | + | 18.7751i | −1.12198 | + | 0.721052i | ||||
\(679\) | −0.0650249 | + | 0.0417890i | −0.00249543 | + | 0.00160371i | ||||
\(680\) | 0.517446 | + | 0.597165i | 0.0198432 | + | 0.0229002i | ||||
\(681\) | −3.98921 | + | 1.17134i | −0.152867 | + | 0.0448857i | ||||
\(682\) | −1.19723 | + | 8.32691i | −0.0458442 | + | 0.318854i | ||||
\(683\) | −0.436006 | + | 0.503178i | −0.0166833 | + | 0.0192536i | −0.764030 | − | 0.645181i | \(-0.776782\pi\) |
0.747347 | + | 0.664434i | \(0.231327\pi\) | |||||||
\(684\) | −0.206899 | + | 0.453045i | −0.00791097 | + | 0.0173226i | ||||
\(685\) | −8.41446 | − | 2.47071i | −0.321500 | − | 0.0944009i | ||||
\(686\) | −0.797176 | − | 1.74557i | −0.0304363 | − | 0.0666462i | ||||
\(687\) | −2.09978 | − | 14.6043i | −0.0801115 | − | 0.557188i | ||||
\(688\) | 5.37903 | + | 3.45689i | 0.205074 | + | 0.131793i | ||||
\(689\) | 46.8772 | 1.78588 | ||||||||
\(690\) | −3.76453 | − | 26.4500i | −0.143313 | − | 1.00694i | ||||
\(691\) | −26.3499 | −1.00240 | −0.501198 | − | 0.865333i | \(-0.667107\pi\) | ||||
−0.501198 | + | 0.865333i | \(0.667107\pi\) | |||||||
\(692\) | −9.36533 | − | 6.01873i | −0.356017 | − | 0.228798i | ||||
\(693\) | 0.171081 | + | 1.18989i | 0.00649882 | + | 0.0452003i | ||||
\(694\) | −15.4206 | − | 33.7663i | −0.585356 | − | 1.28175i | ||||
\(695\) | 31.6599 | + | 9.29619i | 1.20093 | + | 0.352625i | ||||
\(696\) | −1.18141 | + | 2.58692i | −0.0447811 | + | 0.0980570i | ||||
\(697\) | −0.463260 | + | 0.534631i | −0.0175472 | + | 0.0202506i | ||||
\(698\) | 0.252571 | − | 1.75667i | 0.00955994 | − | 0.0664908i | ||||
\(699\) | −9.81428 | + | 2.88173i | −0.371210 | + | 0.108997i | ||||
\(700\) | −3.77627 | − | 4.35805i | −0.142729 | − | 0.164719i | ||||
\(701\) | 13.0382 | − | 8.37915i | 0.492447 | − | 0.316476i | −0.270742 | − | 0.962652i | \(-0.587269\pi\) |
0.763189 | + | 0.646176i | \(0.223633\pi\) | |||||||
\(702\) | 6.54373 | − | 4.20540i | 0.246977 | − | 0.158723i | ||||
\(703\) | −1.08226 | − | 1.24899i | −0.0408181 | − | 0.0471067i | ||||
\(704\) | −6.10219 | + | 1.79177i | −0.229985 | + | 0.0675297i | ||||
\(705\) | 1.43825 | − | 10.0033i | 0.0541678 | − | 0.376745i | ||||
\(706\) | −23.4312 | + | 27.0410i | −0.881844 | + | 1.01770i | ||||
\(707\) | 7.33699 | − | 16.0658i | 0.275936 | − | 0.604215i | ||||
\(708\) | 21.7649 | + | 6.39076i | 0.817976 | + | 0.240179i | ||||
\(709\) | 9.65095 | + | 21.1326i | 0.362449 | + | 0.793653i | 0.999735 | + | 0.0230254i | \(0.00732985\pi\) |
−0.637286 | + | 0.770628i | \(0.719943\pi\) | |||||||
\(710\) | 9.43341 | + | 65.6108i | 0.354029 | + | 2.46233i | ||||
\(711\) | 6.01510 | + | 3.86567i | 0.225584 | + | 0.144974i | ||||
\(712\) | −6.43924 | −0.241321 | ||||||||
\(713\) | 11.4341 | + | 13.2337i | 0.428211 | + | 0.495605i | ||||
\(714\) | 0.857309 | 0.0320840 | ||||||||
\(715\) | 11.9001 | + | 7.64772i | 0.445038 | + | 0.286008i | ||||
\(716\) | 5.39377 | + | 37.5145i | 0.201575 | + | 1.40198i | ||||
\(717\) | −1.51469 | − | 3.31670i | −0.0565670 | − | 0.123864i | ||||
\(718\) | 2.30133 | + | 0.675732i | 0.0858850 | + | 0.0252181i | ||||
\(719\) | −5.36515 | + | 11.7480i | −0.200086 | + | 0.438128i | −0.982903 | − | 0.184125i | \(-0.941055\pi\) |
0.782817 | + | 0.622252i | \(0.213782\pi\) | |||||||
\(720\) | 8.61972 | − | 9.94769i | 0.321238 | − | 0.370729i | ||||
\(721\) | −0.564489 | + | 3.92610i | −0.0210227 | + | 0.146216i | ||||
\(722\) | −34.8225 | + | 10.2248i | −1.29596 | + | 0.380528i | ||||
\(723\) | 10.2636 | + | 11.8448i | 0.381707 | + | 0.440513i | ||||
\(724\) | −11.9525 | + | 7.68138i | −0.444210 | + | 0.285476i | ||||
\(725\) | −13.4585 | + | 8.64923i | −0.499835 | + | 0.321224i | ||||
\(726\) | −12.0073 | − | 13.8572i | −0.445634 | − | 0.514289i | ||||
\(727\) | 39.9866 | − | 11.7411i | 1.48302 | − | 0.435454i | 0.562714 | − | 0.826652i | \(-0.309757\pi\) |
0.920307 | + | 0.391197i | \(0.127939\pi\) | |||||||
\(728\) | 0.351466 | − | 2.44450i | 0.0130262 | − | 0.0905991i | ||||
\(729\) | −0.654861 | + | 0.755750i | −0.0242541 | + | 0.0279907i | ||||
\(730\) | −25.9515 | + | 56.8259i | −0.960509 | + | 2.10322i | ||||
\(731\) | −0.604484 | − | 0.177493i | −0.0223577 | − | 0.00656480i | ||||
\(732\) | 2.96021 | + | 6.48195i | 0.109412 | + | 0.239580i | ||||
\(733\) | 0.137962 | + | 0.959545i | 0.00509573 | + | 0.0354416i | 0.992211 | − | 0.124571i | \(-0.0397555\pi\) |
−0.987115 | + | 0.160013i | \(0.948846\pi\) | |||||||
\(734\) | −29.0767 | − | 18.6865i | −1.07324 | − | 0.689730i | ||||
\(735\) | 2.90299 | 0.107078 | ||||||||
\(736\) | −14.9535 | + | 32.6208i | −0.551195 | + | 1.20242i | ||||
\(737\) | −4.30254 | −0.158486 | ||||||||
\(738\) | 2.55628 | + | 1.64282i | 0.0940981 | + | 0.0604732i | ||||
\(739\) | 3.45488 | + | 24.0292i | 0.127090 | + | 0.883930i | 0.949216 | + | 0.314625i | \(0.101879\pi\) |
−0.822126 | + | 0.569305i | \(0.807212\pi\) | |||||||
\(740\) | −11.3279 | − | 24.8045i | −0.416420 | − | 0.911833i | ||||
\(741\) | −1.15130 | − | 0.338051i | −0.0422939 | − | 0.0124186i | ||||
\(742\) | 9.21912 | − | 20.1870i | 0.338444 | − | 0.741090i | ||||
\(743\) | −24.2420 | + | 27.9767i | −0.889352 | + | 1.02637i | 0.110121 | + | 0.993918i | \(0.464876\pi\) |
−0.999473 | + | 0.0324492i | \(0.989669\pi\) | |||||||
\(744\) | −0.316199 | + | 2.19921i | −0.0115924 | + | 0.0806270i | ||||
\(745\) | 50.4819 | − | 14.8228i | 1.84951 | − | 0.543066i | ||||
\(746\) | −27.2027 | − | 31.3936i | −0.995961 | − | 1.14940i | ||||
\(747\) | 0.0223214 | − | 0.0143451i | 0.000816696 | − | 0.000524859i | ||||
\(748\) | 0.760152 | − | 0.488520i | 0.0277939 | − | 0.0178621i | ||||
\(749\) | 0.342698 | + | 0.395494i | 0.0125219 | + | 0.0144511i | ||||
\(750\) | −8.40609 | + | 2.46825i | −0.306947 | + | 0.0901278i | ||||
\(751\) | −0.791946 | + | 5.50811i | −0.0288985 | + | 0.200994i | −0.999156 | − | 0.0410826i | \(-0.986919\pi\) |
0.970257 | + | 0.242076i | \(0.0778284\pi\) | |||||||
\(752\) | −10.3368 | + | 11.9294i | −0.376946 | + | 0.435019i | ||||
\(753\) | −5.17361 | + | 11.3286i | −0.188537 | + | 0.412838i | ||||
\(754\) | 34.8379 | + | 10.2293i | 1.26872 | + | 0.372530i | ||||
\(755\) | −5.33842 | − | 11.6895i | −0.194285 | − | 0.425425i | ||||
\(756\) | −0.239446 | − | 1.66538i | −0.00870856 | − | 0.0605693i | ||||
\(757\) | −11.6133 | − | 7.46341i | −0.422093 | − | 0.271262i | 0.312305 | − | 0.949982i | \(-0.398899\pi\) |
−0.734398 | + | 0.678719i | \(0.762535\pi\) | |||||||
\(758\) | −26.0308 | −0.945482 | ||||||||
\(759\) | 5.76520 | + | 0.00820448i | 0.209264 | + | 0.000297804i | ||||
\(760\) | −0.523564 | −0.0189917 | ||||||||
\(761\) | 14.4210 | + | 9.26784i | 0.522762 | + | 0.335959i | 0.775264 | − | 0.631638i | \(-0.217617\pi\) |
−0.252501 | + | 0.967597i | \(0.581253\pi\) | |||||||
\(762\) | −3.84779 | − | 26.7620i | −0.139391 | − | 0.969484i | ||||
\(763\) | −2.40391 | − | 5.26384i | −0.0870275 | − | 0.190564i | ||||
\(764\) | 35.0045 | + | 10.2783i | 1.26642 | + | 0.371854i | ||||
\(765\) | −0.538757 | + | 1.17971i | −0.0194788 | + | 0.0426526i | ||||
\(766\) | −10.7430 | + | 12.3981i | −0.388160 | + | 0.447960i | ||||
\(767\) | −7.77742 | + | 54.0931i | −0.280826 | + | 1.95319i | ||||
\(768\) | −19.0137 | + | 5.58293i | −0.686098 | + | 0.201457i | ||||
\(769\) | −5.31096 | − | 6.12917i | −0.191518 | − | 0.221024i | 0.651867 | − | 0.758333i | \(-0.273986\pi\) |
−0.843385 | + | 0.537310i | \(0.819441\pi\) | |||||||
\(770\) | 5.63372 | − | 3.62057i | 0.203025 | − | 0.130476i | ||||
\(771\) | 18.6541 | − | 11.9883i | 0.671813 | − | 0.431748i | ||||
\(772\) | 21.4582 | + | 24.7641i | 0.772297 | + | 0.891278i | ||||
\(773\) | −37.0149 | + | 10.8685i | −1.33133 | + | 0.390914i | −0.868569 | − | 0.495568i | \(-0.834960\pi\) |
−0.462763 | + | 0.886482i | \(0.653142\pi\) | |||||||
\(774\) | −0.385123 | + | 2.67859i | −0.0138430 | + | 0.0962800i | ||||
\(775\) | −8.18483 | + | 9.44580i | −0.294008 | + | 0.339303i | ||||
\(776\) | −0.0195632 | + | 0.0428375i | −0.000702279 | + | 0.00153778i | ||||
\(777\) | 5.35680 | + | 1.57290i | 0.192174 | + | 0.0564274i | ||||
\(778\) | 0.157296 | + | 0.344429i | 0.00563932 | + | 0.0123484i | ||||
\(779\) | −0.0667082 | − | 0.463966i | −0.00239007 | − | 0.0166233i | ||||
\(780\) | −16.6554 | − | 10.7038i | −0.596360 | − | 0.383257i | ||||
\(781\) | −14.3038 | −0.511831 | ||||||||
\(782\) | 0.590920 | − | 4.06882i | 0.0211312 | − | 0.145501i | ||||
\(783\) | −4.66779 | −0.166813 | ||||||||
\(784\) | −3.81440 | − | 2.45137i | −0.136229 | − | 0.0875488i | ||||
\(785\) | 6.55424 | + | 45.5857i | 0.233931 | + | 1.62702i | ||||
\(786\) | −12.5826 | − | 27.5520i | −0.448805 | − | 0.982747i | ||||
\(787\) | −12.9819 | − | 3.81184i | −0.462756 | − | 0.135877i | 0.0420402 | − | 0.999116i | \(-0.486614\pi\) |
−0.504796 | + | 0.863238i | \(0.668432\pi\) | |||||||
\(788\) | −7.06141 | + | 15.4623i | −0.251552 | + | 0.550823i | ||||
\(789\) | −5.63899 | + | 6.50774i | −0.200753 | + | 0.231682i | ||||
\(790\) | 5.66870 | − | 39.4266i | 0.201683 | − | 1.40274i | ||||
\(791\) | −17.3637 | + | 5.09845i | −0.617383 | + | 0.181280i | ||||
\(792\) | 0.479629 | + | 0.553522i | 0.0170429 | + | 0.0196685i | ||||
\(793\) | −14.4423 | + | 9.28151i | −0.512861 | + | 0.329596i | ||||
\(794\) | 53.2200 | − | 34.2024i | 1.88871 | − | 1.21380i | ||||
\(795\) | 21.9852 | + | 25.3722i | 0.779733 | + | 0.899860i | ||||
\(796\) | 6.62961 | − | 1.94663i | 0.234980 | − | 0.0689964i | ||||
\(797\) | 2.98799 | − | 20.7819i | 0.105840 | − | 0.736134i | −0.865923 | − | 0.500177i | \(-0.833268\pi\) |
0.971763 | − | 0.235957i | \(-0.0758225\pi\) | |||||||
\(798\) | −0.371997 | + | 0.429307i | −0.0131685 | + | 0.0151973i | ||||
\(799\) | 0.646082 | − | 1.41472i | 0.0228567 | − | 0.0500493i | ||||
\(800\) | −24.6063 | − | 7.22505i | −0.869963 | − | 0.255444i | ||||
\(801\) | −4.39047 | − | 9.61378i | −0.155130 | − | 0.339686i | ||||
\(802\) | 7.33358 | + | 51.0062i | 0.258958 | + | 1.80109i | ||||
\(803\) | −11.3407 | − | 7.28825i | −0.400206 | − | 0.257197i | ||||
\(804\) | 6.02187 | 0.212375 | ||||||||
\(805\) | 2.00095 | − | 13.7777i | 0.0705242 | − | 0.485600i | ||||
\(806\) | 28.3663 | 0.999160 | ||||||||
\(807\) | 19.0261 | + | 12.2274i | 0.669752 | + | 0.430424i | ||||
\(808\) | −1.53141 | − | 10.6512i | −0.0538749 | − | 0.374708i | ||||
\(809\) | −1.56325 | − | 3.42303i | −0.0549609 | − | 0.120347i | 0.880159 | − | 0.474679i | \(-0.157436\pi\) |
−0.935120 | + | 0.354331i | \(0.884709\pi\) | |||||||
\(810\) | 5.34514 | + | 1.56947i | 0.187809 | + | 0.0551457i | ||||
\(811\) | −5.28315 | + | 11.5685i | −0.185516 | + | 0.406224i | −0.979424 | − | 0.201815i | \(-0.935316\pi\) |
0.793907 | + | 0.608039i | \(0.208043\pi\) | |||||||
\(812\) | 5.14301 | − | 5.93535i | 0.180484 | − | 0.208290i | ||||
\(813\) | −2.11712 | + | 14.7249i | −0.0742505 | + | 0.516424i | ||||
\(814\) | 12.3574 | − | 3.62847i | 0.433128 | − | 0.127178i | ||||
\(815\) | −3.75828 | − | 4.33729i | −0.131647 | − | 0.151929i | ||||
\(816\) | 1.70409 | − | 1.09515i | 0.0596549 | − | 0.0383379i | ||||
\(817\) | 0.351175 | − | 0.225686i | 0.0122860 | − | 0.00789576i | ||||
\(818\) | −8.43407 | − | 9.73344i | −0.294890 | − | 0.340322i | ||||
\(819\) | 3.88927 | − | 1.14199i | 0.135902 | − | 0.0399045i | ||||
\(820\) | 1.10068 | − | 7.65543i | 0.0384376 | − | 0.267339i | ||||
\(821\) | 22.5552 | − | 26.0301i | 0.787182 | − | 0.908457i | −0.210424 | − | 0.977610i | \(-0.567484\pi\) |
0.997606 | + | 0.0691536i | \(0.0220299\pi\) | |||||||
\(822\) | −2.40820 | + | 5.27323i | −0.0839957 | + | 0.183925i | ||||
\(823\) | 4.78390 | + | 1.40468i | 0.166756 | + | 0.0489640i | 0.364045 | − | 0.931381i | \(-0.381395\pi\) |
−0.197289 | + | 0.980345i | \(0.563214\pi\) | |||||||
\(824\) | 1.00391 | + | 2.19825i | 0.0349727 | + | 0.0765796i | ||||
\(825\) | 0.586352 | + | 4.07817i | 0.0204141 | + | 0.141983i | ||||
\(826\) | 21.7649 | + | 13.9875i | 0.757299 | + | 0.486686i | ||||
\(827\) | −2.16673 | −0.0753447 | −0.0376724 | − | 0.999290i | \(-0.511994\pi\) | ||||
−0.0376724 | + | 0.999290i | \(0.511994\pi\) | |||||||
\(828\) | −8.06901 | − | 0.0114830i | −0.280418 | − | 0.000399063i | ||||
\(829\) | 37.0342 | 1.28625 | 0.643126 | − | 0.765760i | \(-0.277637\pi\) | ||||
0.643126 | + | 0.765760i | \(0.277637\pi\) | |||||||
\(830\) | −0.124348 | − | 0.0799134i | −0.00431617 | − | 0.00277383i | ||||
\(831\) | 3.74634 | + | 26.0564i | 0.129959 | + | 0.903885i | ||||
\(832\) | 8.90845 | + | 19.5068i | 0.308845 | + | 0.676276i | ||||
\(833\) | 0.428654 | + | 0.125864i | 0.0148520 | + | 0.00436094i | ||||
\(834\) | 9.06102 | − | 19.8409i | 0.313757 | − | 0.687033i | ||||
\(835\) | −26.6835 | + | 30.7945i | −0.923422 | + | 1.06569i | ||||
\(836\) | −0.0852073 | + | 0.592630i | −0.00294695 | + | 0.0204965i | ||||
\(837\) | −3.49902 | + | 1.02740i | −0.120944 | + | 0.0355123i | ||||
\(838\) | −5.63456 | − | 6.50263i | −0.194643 | − | 0.224630i | ||||
\(839\) | 14.8879 | − | 9.56785i | 0.513986 | − | 0.330319i | −0.257803 | − | 0.966198i | \(-0.582999\pi\) |
0.771789 | + | 0.635879i | \(0.219362\pi\) | |||||||
\(840\) | 1.48791 | − | 0.956225i | 0.0513379 | − | 0.0329929i | ||||
\(841\) | 4.72266 | + | 5.45024i | 0.162850 | + | 0.187939i | ||||
\(842\) | 75.2090 | − | 22.0834i | 2.59187 | − | 0.761043i | ||||
\(843\) | 2.70355 | − | 18.8036i | 0.0931153 | − | 0.647631i | ||||
\(844\) | 25.1040 | − | 28.9716i | 0.864117 | − | 0.997244i | ||||
\(845\) | 4.13711 | − | 9.05901i | 0.142321 | − | 0.311639i | ||||
\(846\) | −6.40993 | − | 1.88213i | −0.220378 | − | 0.0647088i | ||||
\(847\) | −3.96924 | − | 8.69143i | −0.136385 | − | 0.298641i | ||||
\(848\) | −7.46251 | − | 51.9029i | −0.256263 | − | 1.78235i | ||||
\(849\) | −17.7251 | − | 11.3912i | −0.608322 | − | 0.390945i | ||||
\(850\) | 2.93829 | 0.100782 | ||||||||
\(851\) | 11.1573 | − | 24.3394i | 0.382468 | − | 0.834345i | ||||
\(852\) | 20.0197 | 0.685865 | ||||||||
\(853\) | 9.57364 | + | 6.15260i | 0.327795 | + | 0.210661i | 0.694179 | − | 0.719803i | \(-0.255768\pi\) |
−0.366383 | + | 0.930464i | \(0.619404\pi\) | |||||||
\(854\) | 1.15666 | + | 8.04473i | 0.0395800 | + | 0.275285i | ||||
\(855\) | −0.356982 | − | 0.781681i | −0.0122085 | − | 0.0267329i | ||||
\(856\) | 0.305922 | + | 0.0898267i | 0.0104562 | + | 0.00307021i | ||||
\(857\) | 6.94015 | − | 15.1968i | 0.237071 | − | 0.519113i | −0.753279 | − | 0.657701i | \(-0.771529\pi\) |
0.990350 | + | 0.138588i | \(0.0442564\pi\) | |||||||
\(858\) | 6.12348 | − | 7.06688i | 0.209052 | − | 0.241259i | ||||
\(859\) | 8.04242 | − | 55.9362i | 0.274404 | − | 1.90852i | −0.125733 | − | 0.992064i | \(-0.540128\pi\) |
0.400137 | − | 0.916455i | \(-0.368963\pi\) | |||||||
\(860\) | 6.60879 | − | 1.94051i | 0.225358 | − | 0.0661710i | ||||
\(861\) | 1.03695 | + | 1.19671i | 0.0353393 | + | 0.0407837i | ||||
\(862\) | −65.9267 | + | 42.3685i | −2.24547 | + | 1.44308i | ||||
\(863\) | 12.4175 | − | 7.98022i | 0.422696 | − | 0.271650i | −0.311953 | − | 0.950097i | \(-0.600983\pi\) |
0.734649 | + | 0.678447i | \(0.237347\pi\) | |||||||
\(864\) | −4.90000 | − | 5.65490i | −0.166701 | − | 0.192384i | ||||
\(865\) | 18.4300 | − | 5.41155i | 0.626640 | − | 0.183998i | ||||
\(866\) | 10.7490 | − | 74.7606i | 0.365264 | − | 2.54047i | ||||
\(867\) | 11.0019 | − | 12.6969i | 0.373645 | − | 0.431210i | ||||
\(868\) | 2.54884 | − | 5.58119i | 0.0865134 | − | 0.189438i | ||||
\(869\) | 8.24724 | + | 2.42161i | 0.279769 | + | 0.0821475i | ||||
\(870\) | 10.8022 | + | 23.6534i | 0.366228 | + | 0.801927i | ||||
\(871\) | 2.06467 | + | 14.3601i | 0.0699588 | + | 0.486574i | ||||
\(872\) | −2.96599 | − | 1.90612i | −0.100441 | − | 0.0645495i | ||||
\(873\) | −0.0772952 | −0.00261605 | ||||||||
\(874\) | 1.78110 | + | 2.06142i | 0.0602467 | + | 0.0697286i | ||||
\(875\) | −4.56542 | −0.154339 | ||||||||
\(876\) | 15.8726 | + | 10.2007i | 0.536285 | + | 0.344649i | ||||
\(877\) | −6.67962 | − | 46.4577i | −0.225555 | − | 1.56877i | −0.716507 | − | 0.697580i | \(-0.754260\pi\) |
0.490952 | − | 0.871186i | \(-0.336649\pi\) | |||||||
\(878\) | −15.6455 | − | 34.2588i | −0.528010 | − | 1.15618i | ||||
\(879\) | 26.6160 | + | 7.81517i | 0.897736 | + | 0.263599i | ||||
\(880\) | 6.57321 | − | 14.3933i | 0.221583 | − | 0.485199i | ||||
\(881\) | −15.1944 | + | 17.5353i | −0.511912 | + | 0.590778i | −0.951587 | − | 0.307379i | \(-0.900548\pi\) |
0.439675 | + | 0.898157i | \(0.355094\pi\) | |||||||
\(882\) | 0.273100 | − | 1.89945i | 0.00919576 | − | 0.0639579i | ||||
\(883\) | 36.7922 | − | 10.8032i | 1.23816 | − | 0.363555i | 0.403833 | − | 0.914833i | \(-0.367678\pi\) |
0.834322 | + | 0.551277i | \(0.185859\pi\) | |||||||
\(884\) | −1.99525 | − | 2.30264i | −0.0671076 | − | 0.0774463i | ||||
\(885\) | −32.9254 | + | 21.1599i | −1.10677 | + | 0.711281i | ||||
\(886\) | 38.2935 | − | 24.6097i | 1.28649 | − | 0.826780i | ||||
\(887\) | −9.25951 | − | 10.6860i | −0.310904 | − | 0.358802i | 0.578696 | − | 0.815544i | \(-0.303562\pi\) |
−0.889599 | + | 0.456741i | \(0.849016\pi\) | |||||||
\(888\) | 3.26371 | − | 0.958311i | 0.109523 | − | 0.0321588i | ||||
\(889\) | 2.00512 | − | 13.9459i | 0.0672494 | − | 0.467730i | ||||
\(890\) | −38.5562 | + | 44.4963i | −1.29241 | + | 1.49152i | ||||
\(891\) | −0.499382 | + | 1.09349i | −0.0167299 | + | 0.0366335i | ||||
\(892\) | 25.8878 | + | 7.60136i | 0.866789 | + | 0.254512i | ||||
\(893\) | 0.428096 | + | 0.937398i | 0.0143257 | + | 0.0313688i | ||||
\(894\) | −4.94960 | − | 34.4252i | −0.165539 | − | 1.15135i | ||||
\(895\) | −55.0120 | − | 35.3541i | −1.83885 | − | 1.18176i | ||||
\(896\) | −4.81270 | −0.160781 | ||||||||
\(897\) | −2.73918 | − | 19.2458i | −0.0914585 | − | 0.642598i | ||||
\(898\) | −33.2527 | −1.10966 | ||||||||
\(899\) | −14.3200 | − | 9.20290i | −0.477598 | − | 0.306934i | ||||
\(900\) | −0.820661 | − | 5.70783i | −0.0273554 | − | 0.190261i | ||||
\(901\) | 2.14626 | + | 4.69966i | 0.0715024 | + | 0.156568i | ||||
\(902\) | 3.50490 | + | 1.02913i | 0.116700 | + | 0.0342663i | ||||
\(903\) | −0.585814 | + | 1.28275i | −0.0194947 | + | 0.0426874i | ||||
\(904\) | −7.22031 | + | 8.33268i | −0.240144 | + | 0.277141i | ||||
\(905\) | 3.48874 | − | 24.2647i | 0.115970 | − | 0.806587i | ||||
\(906\) | −8.15077 | + | 2.39328i | −0.270791 | + | 0.0795115i | ||||
\(907\) | 9.65301 | + | 11.1402i | 0.320523 | + | 0.369903i | 0.893030 | − | 0.449996i | \(-0.148575\pi\) |
−0.572507 | + | 0.819899i | \(0.694029\pi\) | |||||||
\(908\) | 5.88476 | − | 3.78190i | 0.195292 | − | 0.125507i | ||||
\(909\) | 14.8581 | − | 9.54871i | 0.492811 | − | 0.316711i | ||||
\(910\) | −14.7874 | − | 17.0656i | −0.490198 | − | 0.565719i | ||||
\(911\) | −40.2965 | + | 11.8321i | −1.33508 | + | 0.392016i | −0.869913 | − | 0.493205i | \(-0.835825\pi\) |
−0.465170 | + | 0.885221i | \(0.654007\pi\) | |||||||
\(912\) | −0.191015 | + | 1.32854i | −0.00632514 | + | 0.0439923i | ||||
\(913\) | 0.0208879 | − | 0.0241059i | 0.000691287 | − | 0.000797788i | ||||
\(914\) | 10.7131 | − | 23.4585i | 0.354359 | − | 0.775938i | ||||
\(915\) | −11.7970 | − | 3.46390i | −0.389995 | − | 0.114513i | ||||
\(916\) | 10.3125 | + | 22.5811i | 0.340733 | + | 0.746102i | ||||
\(917\) | −2.24629 | − | 15.6233i | −0.0741790 | − | 0.515926i | ||||
\(918\) | 0.721214 | + | 0.463496i | 0.0238036 | + | 0.0152976i | ||||
\(919\) | −48.6165 | −1.60371 | −0.801855 | − | 0.597518i | \(-0.796154\pi\) | ||||
−0.801855 | + | 0.597518i | \(0.796154\pi\) | |||||||
\(920\) | −3.51270 | − | 7.72080i | −0.115810 | − | 0.254547i | ||||
\(921\) | −7.67027 | −0.252744 | ||||||||
\(922\) | 35.4788 | + | 22.8008i | 1.16843 | + | 0.750905i | ||||
\(923\) | 6.86402 | + | 47.7403i | 0.225932 | + | 1.57139i | ||||
\(924\) | −0.840214 | − | 1.83981i | −0.0276410 | − | 0.0605254i | ||||
\(925\) | 18.3596 | + | 5.39085i | 0.603659 | + | 0.177250i | ||||
\(926\) | 6.72792 | − | 14.7321i | 0.221093 | − | 0.484126i | ||||
\(927\) | −2.59749 | + | 2.99766i | −0.0853128 | + | 0.0984562i | ||||
\(928\) | 4.97060 | − | 34.5713i | 0.163168 | − | 1.13486i | ||||
\(929\) | −17.7633 | + | 5.21577i | −0.582794 | + | 0.171124i | −0.559823 | − | 0.828612i | \(-0.689131\pi\) |
−0.0229713 | + | 0.999736i | \(0.507313\pi\) | |||||||
\(930\) | 13.3036 | + | 15.3532i | 0.436243 | + | 0.503451i | ||||
\(931\) | −0.249026 | + | 0.160040i | −0.00816151 | + | 0.00524508i | ||||
\(932\) | 14.4777 | − | 9.30427i | 0.474234 | − | 0.304772i | ||||
\(933\) | 9.47563 | + | 10.9355i | 0.310218 | + | 0.358011i | ||||
\(934\) | −52.1538 | + | 15.3137i | −1.70653 | + | 0.501081i | ||||
\(935\) | −0.221877 | + | 1.54319i | −0.00725615 | + | 0.0504676i | ||||
\(936\) | 1.61727 | − | 1.86642i | 0.0528620 | − | 0.0610060i | ||||
\(937\) | 6.49063 | − | 14.2125i | 0.212040 | − | 0.464302i | −0.773489 | − | 0.633809i | \(-0.781490\pi\) |
0.985529 | + | 0.169507i | \(0.0542177\pi\) | |||||||
\(938\) | 6.59004 | + | 1.93501i | 0.215172 | + | 0.0631803i | ||||
\(939\) | 5.85799 | + | 12.8272i | 0.191168 | + | 0.418600i | ||||
\(940\) | 2.41987 | + | 16.8306i | 0.0789275 | + | 0.548953i | ||||
\(941\) | 38.5934 | + | 24.8025i | 1.25811 | + | 0.808537i | 0.988024 | − | 0.154299i | \(-0.0493120\pi\) |
0.270085 | + | 0.962837i | \(0.412948\pi\) | |||||||
\(942\) | 30.4438 | 0.991912 | ||||||||
\(943\) | 6.39437 | − | 4.09657i | 0.208229 | − | 0.133403i | ||||
\(944\) | 61.1305 | 1.98963 | ||||||||
\(945\) | 2.44215 | + | 1.56947i | 0.0794431 | + | 0.0510550i | ||||
\(946\) | 0.462968 | + | 3.22001i | 0.0150524 | + | 0.104692i | ||||
\(947\) | 2.63521 | + | 5.77030i | 0.0856327 | + | 0.187509i | 0.947604 | − | 0.319448i | \(-0.103497\pi\) |
−0.861971 | + | 0.506957i | \(0.830770\pi\) | |||||||
\(948\) | −11.5429 | − | 3.38930i | −0.374896 | − | 0.110079i | ||||
\(949\) | −18.8831 | + | 41.3481i | −0.612970 | + | 1.34222i | ||||
\(950\) | −1.27496 | + | 1.47138i | −0.0413651 | + | 0.0477379i | ||||
\(951\) | −3.41044 | + | 23.7201i | −0.110591 | + | 0.769177i | ||||
\(952\) | 0.261164 | − | 0.0766846i | 0.00846437 | − | 0.00248536i | ||||
\(953\) | 13.2712 | + | 15.3158i | 0.429897 | + | 0.496127i | 0.928826 | − | 0.370515i | \(-0.120819\pi\) |
−0.498930 | + | 0.866642i | \(0.666273\pi\) | |||||||
\(954\) | 18.6696 | − | 11.9982i | 0.604449 | − | 0.388456i | ||||
\(955\) | −52.9539 | + | 34.0314i | −1.71355 | + | 1.10123i | ||||
\(956\) | 4.01741 | + | 4.63634i | 0.129932 | + | 0.149950i | ||||
\(957\) | −5.38399 | + | 1.58088i | −0.174040 | + | 0.0511027i | ||||
\(958\) | −9.18049 | + | 63.8517i | −0.296608 | + | 2.06296i | ||||
\(959\) | −1.97828 | + | 2.28306i | −0.0638821 | + | 0.0737238i | ||||
\(960\) | −6.38000 | + | 13.9702i | −0.205914 | + | 0.450888i | ||||
\(961\) | 16.9843 | + | 4.98704i | 0.547881 | + | 0.160872i | ||||
\(962\) | −18.0403 | − | 39.5028i | −0.581643 | − | 1.27362i | ||||
\(963\) | 0.0744754 | + | 0.517988i | 0.00239994 | + | 0.0166919i | ||||
\(964\) | −22.1837 | − | 14.2566i | −0.714489 | − | 0.459174i | ||||
\(965\) | −56.5369 | −1.81999 | ||||||||
\(966\) | −8.82664 | − | 2.60539i | −0.283993 | − | 0.0838269i | ||||
\(967\) | 24.6358 | 0.792233 | 0.396117 | − | 0.918200i | \(-0.370358\pi\) | ||||
0.396117 | + | 0.918200i | \(0.370358\pi\) | |||||||
\(968\) | −4.89732 | − | 3.14731i | −0.157406 | − | 0.101159i | ||||
\(969\) | −0.0188206 | − | 0.130900i | −0.000604606 | − | 0.00420512i | ||||
\(970\) | 0.178876 | + | 0.391684i | 0.00574336 | + | 0.0125762i | ||||
\(971\) | −41.8085 | − | 12.2761i | −1.34170 | − | 0.393958i | −0.469423 | − | 0.882973i | \(-0.655538\pi\) |
−0.872275 | + | 0.489015i | \(0.837356\pi\) | |||||||
\(972\) | 0.698939 | − | 1.53046i | 0.0224185 | − | 0.0490896i | ||||
\(973\) | 7.44341 | − | 8.59015i | 0.238625 | − | 0.275388i | ||||
\(974\) | −2.46852 | + | 17.1689i | −0.0790965 | + | 0.550128i | ||||
\(975\) | 13.3299 | − | 3.91400i | 0.426897 | − | 0.125348i | ||||
\(976\) | 12.5757 | + | 14.5131i | 0.402537 | + | 0.464553i | ||||
\(977\) | −23.9802 | + | 15.4111i | −0.767194 | + | 0.493046i | −0.864761 | − | 0.502183i | \(-0.832530\pi\) |
0.0975669 | + | 0.995229i | \(0.468894\pi\) | |||||||
\(978\) | −3.19149 | + | 2.05105i | −0.102053 | + | 0.0655853i | ||||
\(979\) | −8.32010 | − | 9.60191i | −0.265912 | − | 0.306878i | ||||
\(980\) | −4.68645 | + | 1.37607i | −0.149703 | + | 0.0439568i | ||||
\(981\) | 0.823544 | − | 5.72787i | 0.0262937 | − | 0.182877i | ||||
\(982\) | 7.35407 | − | 8.48705i | 0.234678 | − | 0.270833i | ||||
\(983\) | 21.5788 | − | 47.2509i | 0.688256 | − | 1.50707i | −0.165397 | − | 0.986227i | \(-0.552890\pi\) |
0.853653 | − | 0.520843i | \(-0.174382\pi\) | |||||||
\(984\) | 0.925674 | + | 0.271802i | 0.0295094 | + | 0.00866475i | ||||
\(985\) | −12.1837 | − | 26.6786i | −0.388206 | − | 0.850052i | ||||
\(986\) | 0.569507 | + | 3.96101i | 0.0181368 | + | 0.126144i | ||||
\(987\) | −2.92865 | − | 1.88213i | −0.0932198 | − | 0.0599087i | ||||
\(988\) | 2.01884 | 0.0642279 | ||||||||
\(989\) | 5.68422 | + | 3.66447i | 0.180748 | + | 0.116523i | ||||
\(990\) | 6.69681 | 0.212839 | ||||||||
\(991\) | 4.85669 | + | 3.12121i | 0.154278 | + | 0.0991484i | 0.615502 | − | 0.788135i | \(-0.288953\pi\) |
−0.461224 | + | 0.887284i | \(0.652590\pi\) | |||||||
\(992\) | −3.88330 | − | 27.0090i | −0.123295 | − | 0.857536i | ||||
\(993\) | 8.69277 | + | 19.0345i | 0.275857 | + | 0.604042i | ||||
\(994\) | 21.9086 | + | 6.43295i | 0.694899 | + | 0.204041i | ||||
\(995\) | −4.95241 | + | 10.8443i | −0.157002 | + | 0.343786i | ||||
\(996\) | −0.0292348 | + | 0.0337387i | −0.000926339 | + | 0.00106905i | ||||
\(997\) | 0.559857 | − | 3.89389i | 0.0177308 | − | 0.123321i | −0.979034 | − | 0.203699i | \(-0.934704\pi\) |
0.996764 | + | 0.0803781i | \(0.0256128\pi\) | |||||||
\(998\) | −69.4549 | + | 20.3938i | −2.19856 | + | 0.645555i | ||||
\(999\) | 3.65605 | + | 4.21931i | 0.115672 | + | 0.133493i |
(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 | 483.2.q.c.232.1 | yes | 20 | |
23.12 | even | 11 | inner | 483.2.q.c.127.1 | ✓ | 20 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
483.2.q.c.127.1 | ✓ | 20 | 23.12 | even | 11 | inner | |
483.2.q.c.232.1 | yes | 20 | 1.1 | even | 1 | trivial |