Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [230,2,Mod(9,230)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(230, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("230.9");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 230 = 2 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 230.j (of order \(22\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.83655924649\) |
Analytic rank: | \(0\) |
Dimension: | \(120\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 219.7 | ||
Character | \(\chi\) | \(=\) | 230.219 |
Dual form | 230.2.j.a.209.7 |
$q$-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 \(\left(\mathbb{Z}/230\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(51\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{10}{11}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.540641 | + | 0.841254i | 0.382291 | + | 0.594856i | ||||
\(3\) | −2.56448 | − | 0.368717i | −1.48060 | − | 0.212879i | −0.645834 | − | 0.763478i | \(-0.723490\pi\) |
−0.834769 | + | 0.550600i | \(0.814399\pi\) | |||||||
\(4\) | −0.415415 | + | 0.909632i | −0.207708 | + | 0.454816i | ||||
\(5\) | 1.88872 | − | 1.19697i | 0.844661 | − | 0.535301i | ||||
\(6\) | −1.07628 | − | 2.35672i | −0.439389 | − | 0.962127i | ||||
\(7\) | 1.82575 | − | 1.58202i | 0.690067 | − | 0.597946i | −0.237596 | − | 0.971364i | \(-0.576360\pi\) |
0.927663 | + | 0.373418i | \(0.121814\pi\) | |||||||
\(8\) | −0.989821 | + | 0.142315i | −0.349955 | + | 0.0503159i | ||||
\(9\) | 3.56212 | + | 1.04593i | 1.18737 | + | 0.348645i | ||||
\(10\) | 2.02807 | + | 0.941762i | 0.641333 | + | 0.297811i | ||||
\(11\) | 1.25768 | + | 0.808265i | 0.379206 | + | 0.243701i | 0.716333 | − | 0.697758i | \(-0.245819\pi\) |
−0.337127 | + | 0.941459i | \(0.609455\pi\) | |||||||
\(12\) | 1.40072 | − | 2.17956i | 0.404353 | − | 0.629185i | ||||
\(13\) | 3.06511 | + | 2.65594i | 0.850110 | + | 0.736624i | 0.966524 | − | 0.256576i | \(-0.0825945\pi\) |
−0.116414 | + | 0.993201i | \(0.537140\pi\) | |||||||
\(14\) | 2.31795 | + | 0.680612i | 0.619498 | + | 0.181901i | ||||
\(15\) | −5.28493 | + | 2.37320i | −1.36456 | + | 0.612758i | ||||
\(16\) | −0.654861 | − | 0.755750i | −0.163715 | − | 0.188937i | ||||
\(17\) | 5.62426 | − | 2.56851i | 1.36408 | − | 0.622956i | 0.407177 | − | 0.913349i | \(-0.366513\pi\) |
0.956907 | + | 0.290393i | \(0.0937861\pi\) | |||||||
\(18\) | 1.04593 | + | 3.56212i | 0.246529 | + | 0.839601i | ||||
\(19\) | 0.291448 | − | 0.638182i | 0.0668628 | − | 0.146409i | −0.873250 | − | 0.487272i | \(-0.837992\pi\) |
0.940113 | + | 0.340863i | \(0.110719\pi\) | |||||||
\(20\) | 0.304199 | + | 2.21528i | 0.0680210 | + | 0.495352i | ||||
\(21\) | −5.26540 | + | 3.38387i | −1.14901 | + | 0.738421i | ||||
\(22\) | 1.49501i | 0.318738i | ||||||||
\(23\) | −3.56194 | + | 3.21132i | −0.742716 | + | 0.669606i | ||||
\(24\) | 2.59085 | 0.528855 | ||||||||
\(25\) | 2.13453 | − | 4.52148i | 0.426905 | − | 0.904296i | ||||
\(26\) | −0.577190 | + | 4.01445i | −0.113196 | + | 0.787298i | ||||
\(27\) | −1.67918 | − | 0.766856i | −0.323159 | − | 0.147582i | ||||
\(28\) | 0.680612 | + | 2.31795i | 0.128623 | + | 0.438051i | ||||
\(29\) | −2.53349 | − | 5.54757i | −0.470457 | − | 1.03016i | −0.984978 | − | 0.172679i | \(-0.944758\pi\) |
0.514521 | − | 0.857478i | \(-0.327970\pi\) | |||||||
\(30\) | −4.85371 | − | 3.16291i | −0.886162 | − | 0.577466i | ||||
\(31\) | −0.649873 | − | 4.51997i | −0.116721 | − | 0.811810i | −0.961127 | − | 0.276107i | \(-0.910956\pi\) |
0.844406 | − | 0.535703i | \(-0.179953\pi\) | |||||||
\(32\) | 0.281733 | − | 0.959493i | 0.0498038 | − | 0.169616i | ||||
\(33\) | −2.92729 | − | 2.53651i | −0.509575 | − | 0.441549i | ||||
\(34\) | 5.20148 | + | 3.34279i | 0.892046 | + | 0.573283i | ||||
\(35\) | 1.55469 | − | 5.17335i | 0.262791 | − | 0.874456i | ||||
\(36\) | −2.43118 | + | 2.80573i | −0.405196 | + | 0.467621i | ||||
\(37\) | −1.60042 | + | 5.45053i | −0.263108 | + | 0.896062i | 0.716912 | + | 0.697163i | \(0.245555\pi\) |
−0.980020 | + | 0.198899i | \(0.936263\pi\) | |||||||
\(38\) | 0.694442 | − | 0.0998457i | 0.112653 | − | 0.0161971i | ||||
\(39\) | −6.88114 | − | 7.94125i | −1.10186 | − | 1.27162i | ||||
\(40\) | −1.69915 | + | 1.45358i | −0.268659 | + | 0.229831i | ||||
\(41\) | −4.89061 | + | 1.43601i | −0.763785 | + | 0.224268i | −0.640348 | − | 0.768085i | \(-0.721210\pi\) |
−0.123437 | + | 0.992352i | \(0.539392\pi\) | |||||||
\(42\) | −5.69338 | − | 2.60008i | −0.878508 | − | 0.401201i | ||||
\(43\) | −4.99509 | − | 0.718186i | −0.761744 | − | 0.109522i | −0.249515 | − | 0.968371i | \(-0.580271\pi\) |
−0.512229 | + | 0.858849i | \(0.671180\pi\) | |||||||
\(44\) | −1.25768 | + | 0.808265i | −0.189603 | + | 0.121850i | ||||
\(45\) | 7.97981 | − | 2.28828i | 1.18956 | − | 0.341116i | ||||
\(46\) | −4.62726 | − | 1.26033i | −0.682253 | − | 0.185825i | ||||
\(47\) | − | 4.52400i | − | 0.659893i | −0.944000 | − | 0.329947i | \(-0.892969\pi\) | ||
0.944000 | − | 0.329947i | \(-0.107031\pi\) | |||||||
\(48\) | 1.40072 | + | 2.17956i | 0.202176 | + | 0.314593i | ||||
\(49\) | −0.165637 | + | 1.15203i | −0.0236624 | + | 0.164576i | ||||
\(50\) | 4.95772 | − | 0.648819i | 0.701128 | − | 0.0917569i | ||||
\(51\) | −15.3704 | + | 4.51315i | −2.15228 | + | 0.631967i | ||||
\(52\) | −3.68922 | + | 1.68481i | −0.511603 | + | 0.233641i | ||||
\(53\) | 4.01724 | − | 3.48096i | 0.551811 | − | 0.478147i | −0.333756 | − | 0.942660i | \(-0.608316\pi\) |
0.885566 | + | 0.464513i | \(0.153771\pi\) | |||||||
\(54\) | −0.262713 | − | 1.82721i | −0.0357508 | − | 0.248652i | ||||
\(55\) | 3.34288 | + | 0.0211755i | 0.450754 | + | 0.00285530i | ||||
\(56\) | −1.58202 | + | 1.82575i | −0.211406 | + | 0.243975i | ||||
\(57\) | −0.982721 | + | 1.52914i | −0.130165 | + | 0.202540i | ||||
\(58\) | 3.29720 | − | 5.13055i | 0.432944 | − | 0.673674i | ||||
\(59\) | −9.64692 | + | 11.1331i | −1.25592 | + | 1.44941i | −0.413580 | + | 0.910468i | \(0.635722\pi\) |
−0.842342 | + | 0.538943i | \(0.818824\pi\) | |||||||
\(60\) | 0.0366970 | − | 5.79320i | 0.00473757 | − | 0.747899i | ||||
\(61\) | 2.04923 | + | 14.2527i | 0.262377 | + | 1.82487i | 0.514864 | + | 0.857272i | \(0.327843\pi\) |
−0.252486 | + | 0.967600i | \(0.581248\pi\) | |||||||
\(62\) | 3.45109 | − | 2.99039i | 0.438289 | − | 0.379779i | ||||
\(63\) | 8.15822 | − | 3.72573i | 1.02784 | − | 0.469398i | ||||
\(64\) | 0.959493 | − | 0.281733i | 0.119937 | − | 0.0352166i | ||||
\(65\) | 8.96822 | + | 1.34747i | 1.11237 | + | 0.167133i | ||||
\(66\) | 0.551236 | − | 3.83393i | 0.0678524 | − | 0.471924i | ||||
\(67\) | 1.77215 | + | 2.75752i | 0.216503 | + | 0.336885i | 0.932469 | − | 0.361250i | \(-0.117650\pi\) |
−0.715966 | + | 0.698135i | \(0.754014\pi\) | |||||||
\(68\) | 6.18301i | 0.749800i | ||||||||
\(69\) | 10.3186 | − | 6.92201i | 1.24221 | − | 0.833312i | ||||
\(70\) | 5.19263 | − | 1.48903i | 0.620638 | − | 0.177973i | ||||
\(71\) | 9.51232 | − | 6.11320i | 1.12891 | − | 0.725503i | 0.163574 | − | 0.986531i | \(-0.447698\pi\) |
0.965331 | + | 0.261028i | \(0.0840614\pi\) | |||||||
\(72\) | −3.67472 | − | 0.528345i | −0.433070 | − | 0.0622660i | ||||
\(73\) | −3.05196 | − | 1.39378i | −0.357205 | − | 0.163130i | 0.228726 | − | 0.973491i | \(-0.426544\pi\) |
−0.585931 | + | 0.810361i | \(0.699271\pi\) | |||||||
\(74\) | −5.45053 | + | 1.60042i | −0.633612 | + | 0.186045i | ||||
\(75\) | −7.14110 | + | 10.8082i | −0.824583 | + | 1.24802i | ||||
\(76\) | 0.459439 | + | 0.530221i | 0.0527013 | + | 0.0608205i | ||||
\(77\) | 3.57490 | − | 0.513993i | 0.407398 | − | 0.0585749i | ||||
\(78\) | 2.96039 | − | 10.0821i | 0.335198 | − | 1.14158i | ||||
\(79\) | 1.54077 | − | 1.77814i | 0.173350 | − | 0.200057i | −0.662425 | − | 0.749128i | \(-0.730473\pi\) |
0.835776 | + | 0.549071i | \(0.185018\pi\) | |||||||
\(80\) | −2.14146 | − | 0.643551i | −0.239422 | − | 0.0719512i | ||||
\(81\) | −5.34601 | − | 3.43567i | −0.594001 | − | 0.381741i | ||||
\(82\) | −3.85212 | − | 3.33788i | −0.425395 | − | 0.368607i | ||||
\(83\) | 0.823140 | − | 2.80336i | 0.0903513 | − | 0.307708i | −0.901902 | − | 0.431941i | \(-0.857829\pi\) |
0.992253 | + | 0.124233i | \(0.0396470\pi\) | |||||||
\(84\) | −0.890748 | − | 6.19529i | −0.0971886 | − | 0.675961i | ||||
\(85\) | 7.54822 | − | 11.5833i | 0.818720 | − | 1.25638i | ||||
\(86\) | −2.09637 | − | 4.59042i | −0.226058 | − | 0.494998i | ||||
\(87\) | 4.45160 | + | 15.1608i | 0.477262 | + | 1.62540i | ||||
\(88\) | −1.35991 | − | 0.621051i | −0.144967 | − | 0.0662042i | ||||
\(89\) | −0.515328 | + | 3.58419i | −0.0546247 | + | 0.379923i | 0.944110 | + | 0.329631i | \(0.106924\pi\) |
−0.998735 | + | 0.0502921i | \(0.983985\pi\) | |||||||
\(90\) | 6.23923 | + | 5.47591i | 0.657673 | + | 0.577211i | ||||
\(91\) | 9.79786 | 1.02709 | ||||||||
\(92\) | −1.44143 | − | 4.57409i | −0.150280 | − | 0.476882i | ||||
\(93\) | 11.8310i | 1.22682i | ||||||||
\(94\) | 3.80583 | − | 2.44586i | 0.392541 | − | 0.252271i | ||||
\(95\) | −0.213421 | − | 1.55420i | −0.0218965 | − | 0.159458i | ||||
\(96\) | −1.07628 | + | 2.35672i | −0.109847 | + | 0.240532i | ||||
\(97\) | 3.34235 | + | 11.3830i | 0.339364 | + | 1.15577i | 0.935631 | + | 0.352981i | \(0.114832\pi\) |
−0.596267 | + | 0.802786i | \(0.703350\pi\) | |||||||
\(98\) | −1.05870 | + | 0.483491i | −0.106945 | + | 0.0488400i | ||||
\(99\) | 3.63464 | + | 4.19460i | 0.365295 | + | 0.421573i | ||||
\(100\) | 3.22617 | + | 3.81993i | 0.322617 | + | 0.381993i | ||||
\(101\) | −18.3614 | − | 5.39140i | −1.82703 | − | 0.536464i | −0.827348 | − | 0.561690i | \(-0.810151\pi\) |
−0.999682 | + | 0.0252253i | \(0.991970\pi\) | |||||||
\(102\) | −12.1065 | − | 10.4904i | −1.19873 | − | 1.03870i | ||||
\(103\) | −2.68750 | + | 4.18183i | −0.264807 | + | 0.412048i | −0.948039 | − | 0.318153i | \(-0.896937\pi\) |
0.683232 | + | 0.730201i | \(0.260574\pi\) | |||||||
\(104\) | −3.41190 | − | 2.19269i | −0.334564 | − | 0.215011i | ||||
\(105\) | −5.89448 | + | 12.6937i | −0.575243 | + | 1.23878i | ||||
\(106\) | 5.10026 | + | 1.49757i | 0.495381 | + | 0.145457i | ||||
\(107\) | −17.3483 | + | 2.49431i | −1.67712 | + | 0.241134i | −0.914173 | − | 0.405325i | \(-0.867159\pi\) |
−0.762949 | + | 0.646458i | \(0.776249\pi\) | |||||||
\(108\) | 1.39511 | − | 1.20887i | 0.134245 | − | 0.116324i | ||||
\(109\) | 6.21222 | + | 13.6029i | 0.595022 | + | 1.30292i | 0.932359 | + | 0.361533i | \(0.117747\pi\) |
−0.337337 | + | 0.941384i | \(0.609526\pi\) | |||||||
\(110\) | 1.78948 | + | 2.82366i | 0.170621 | + | 0.269225i | ||||
\(111\) | 6.11395 | − | 13.3877i | 0.580310 | − | 1.27070i | ||||
\(112\) | −2.39122 | − | 0.343805i | −0.225949 | − | 0.0324865i | ||||
\(113\) | −10.2744 | − | 15.9873i | −0.966535 | − | 1.50396i | −0.860408 | − | 0.509606i | \(-0.829791\pi\) |
−0.106127 | − | 0.994353i | \(-0.533845\pi\) | |||||||
\(114\) | −1.81770 | −0.170243 | ||||||||
\(115\) | −2.88366 | + | 10.3288i | −0.268903 | + | 0.963167i | ||||
\(116\) | 6.09869 | 0.566249 | ||||||||
\(117\) | 8.14039 | + | 12.6667i | 0.752579 | + | 1.17104i | ||||
\(118\) | −14.5813 | − | 2.09648i | −1.34232 | − | 0.192996i | ||||
\(119\) | 6.20504 | − | 13.5871i | 0.568815 | − | 1.24553i | ||||
\(120\) | 4.89339 | − | 3.10117i | 0.446704 | − | 0.283097i | ||||
\(121\) | −3.64109 | − | 7.97287i | −0.331008 | − | 0.724806i | ||||
\(122\) | −10.8822 | + | 9.42952i | −0.985232 | + | 0.853709i | ||||
\(123\) | 13.0714 | − | 1.87938i | 1.17860 | − | 0.169458i | ||||
\(124\) | 4.38147 | + | 1.28652i | 0.393468 | + | 0.115533i | ||||
\(125\) | −1.38055 | − | 11.0948i | −0.123480 | − | 0.992347i | ||||
\(126\) | 7.54495 | + | 4.84885i | 0.672158 | + | 0.431970i | ||||
\(127\) | −7.18318 | + | 11.1772i | −0.637404 | + | 0.991820i | 0.360843 | + | 0.932627i | \(0.382489\pi\) |
−0.998247 | + | 0.0591930i | \(0.981147\pi\) | |||||||
\(128\) | 0.755750 | + | 0.654861i | 0.0667995 | + | 0.0578821i | ||||
\(129\) | 12.5450 | + | 3.68355i | 1.10453 | + | 0.324318i | ||||
\(130\) | 3.71502 | + | 8.27304i | 0.325829 | + | 0.725594i | ||||
\(131\) | 9.11394 | + | 10.5181i | 0.796289 | + | 0.918966i | 0.998172 | − | 0.0604434i | \(-0.0192515\pi\) |
−0.201883 | + | 0.979410i | \(0.564706\pi\) | |||||||
\(132\) | 3.52333 | − | 1.60905i | 0.306666 | − | 0.140050i | ||||
\(133\) | −0.477505 | − | 1.62623i | −0.0414050 | − | 0.141012i | ||||
\(134\) | −1.36168 | + | 2.98166i | −0.117631 | + | 0.257576i | ||||
\(135\) | −4.08941 | + | 0.561552i | −0.351960 | + | 0.0483307i | ||||
\(136\) | −5.20148 | + | 3.34279i | −0.446023 | + | 0.286642i | ||||
\(137\) | − | 16.9150i | − | 1.44514i | −0.691297 | − | 0.722571i | \(-0.742960\pi\) | ||
0.691297 | − | 0.722571i | \(-0.257040\pi\) | |||||||
\(138\) | 11.4018 | + | 4.93823i | 0.970588 | + | 0.420370i | ||||
\(139\) | 17.9369 | 1.52139 | 0.760696 | − | 0.649109i | \(-0.224858\pi\) | ||||
0.760696 | + | 0.649109i | \(0.224858\pi\) | |||||||
\(140\) | 4.06000 | + | 3.56329i | 0.343133 | + | 0.301153i | ||||
\(141\) | −1.66807 | + | 11.6017i | −0.140477 | + | 0.977040i | ||||
\(142\) | 10.2855 | + | 4.69723i | 0.863140 | + | 0.394183i | ||||
\(143\) | 1.70825 | + | 5.81775i | 0.142851 | + | 0.486505i | ||||
\(144\) | −1.54223 | − | 3.37702i | −0.128519 | − | 0.281418i | ||||
\(145\) | −11.4253 | − | 7.44529i | −0.948821 | − | 0.618298i | ||||
\(146\) | −0.477489 | − | 3.32101i | −0.0395173 | − | 0.274849i | ||||
\(147\) | 0.849544 | − | 2.89328i | 0.0700692 | − | 0.238634i | ||||
\(148\) | −4.29314 | − | 3.72003i | −0.352894 | − | 0.305784i | ||||
\(149\) | −13.3485 | − | 8.57858i | −1.09355 | − | 0.702784i | −0.135905 | − | 0.990722i | \(-0.543394\pi\) |
−0.957649 | + | 0.287937i | \(0.907030\pi\) | |||||||
\(150\) | −12.9532 | − | 0.164111i | −1.05763 | − | 0.0133996i | ||||
\(151\) | 7.06380 | − | 8.15206i | 0.574844 | − | 0.663405i | −0.391644 | − | 0.920117i | \(-0.628094\pi\) |
0.966488 | + | 0.256711i | \(0.0826390\pi\) | |||||||
\(152\) | −0.197659 | + | 0.673164i | −0.0160322 | + | 0.0546008i | ||||
\(153\) | 22.7208 | − | 3.26676i | 1.83687 | − | 0.264102i | ||||
\(154\) | 2.36514 | + | 2.72951i | 0.190588 | + | 0.219950i | ||||
\(155\) | −6.63769 | − | 7.75907i | −0.533152 | − | 0.623224i | ||||
\(156\) | 10.0821 | − | 2.96039i | 0.807218 | − | 0.237020i | ||||
\(157\) | 2.78637 | + | 1.27249i | 0.222377 | + | 0.101556i | 0.523488 | − | 0.852033i | \(-0.324630\pi\) |
−0.301112 | + | 0.953589i | \(0.597358\pi\) | |||||||
\(158\) | 2.32887 | + | 0.334842i | 0.185275 | + | 0.0266386i | ||||
\(159\) | −11.5856 | + | 7.44563i | −0.918800 | + | 0.590477i | ||||
\(160\) | −0.616370 | − | 2.14944i | −0.0487283 | − | 0.169928i | ||||
\(161\) | −1.42284 | + | 11.4981i | −0.112135 | + | 0.906178i | ||||
\(162\) | − | 6.35481i | − | 0.499281i | ||||||
\(163\) | 1.59230 | + | 2.47766i | 0.124718 | + | 0.194065i | 0.897998 | − | 0.440000i | \(-0.145021\pi\) |
−0.773280 | + | 0.634065i | \(0.781385\pi\) | |||||||
\(164\) | 0.725390 | − | 5.04520i | 0.0566435 | − | 0.393964i | ||||
\(165\) | −8.56495 | − | 1.28688i | −0.666780 | − | 0.100183i | ||||
\(166\) | 2.80336 | − | 0.823140i | 0.217583 | − | 0.0638880i | ||||
\(167\) | 14.0597 | − | 6.42086i | 1.08797 | − | 0.496861i | 0.211043 | − | 0.977477i | \(-0.432314\pi\) |
0.876931 | + | 0.480615i | \(0.159587\pi\) | |||||||
\(168\) | 4.73023 | − | 4.09877i | 0.364945 | − | 0.316227i | ||||
\(169\) | 0.490833 | + | 3.41382i | 0.0377564 | + | 0.262602i | ||||
\(170\) | 13.8254 | + | 0.0875767i | 1.06036 | + | 0.00671682i | ||||
\(171\) | 1.70567 | − | 1.96845i | 0.130436 | − | 0.150531i | ||||
\(172\) | 2.72832 | − | 4.24535i | 0.208033 | − | 0.323705i | ||||
\(173\) | −7.00534 | + | 10.9005i | −0.532606 | + | 0.828751i | −0.998423 | − | 0.0561299i | \(-0.982124\pi\) |
0.465818 | + | 0.884881i | \(0.345760\pi\) | |||||||
\(174\) | −10.3473 | + | 11.9414i | −0.784429 | + | 0.905279i | ||||
\(175\) | −3.25596 | − | 11.6319i | −0.246127 | − | 0.879291i | ||||
\(176\) | −0.212762 | − | 1.47980i | −0.0160376 | − | 0.111544i | ||||
\(177\) | 28.8443 | − | 24.9937i | 2.16807 | − | 1.87864i | ||||
\(178\) | −3.29382 | + | 1.50424i | −0.246882 | + | 0.112747i | ||||
\(179\) | −10.6510 | + | 3.12741i | −0.796092 | + | 0.233754i | −0.654392 | − | 0.756156i | \(-0.727075\pi\) |
−0.141701 | + | 0.989910i | \(0.545257\pi\) | |||||||
\(180\) | −1.23344 | + | 8.20927i | −0.0919352 | + | 0.611883i | ||||
\(181\) | 0.716678 | − | 4.98460i | 0.0532702 | − | 0.370503i | −0.945696 | − | 0.325051i | \(-0.894618\pi\) |
0.998967 | − | 0.0454512i | \(-0.0144725\pi\) | |||||||
\(182\) | 5.29712 | + | 8.24248i | 0.392649 | + | 0.610973i | ||||
\(183\) | − | 37.3064i | − | 2.75777i | ||||||
\(184\) | 3.06867 | − | 3.68555i | 0.226225 | − | 0.271702i | ||||
\(185\) | 3.50138 | + | 12.2102i | 0.257426 | + | 0.897711i | ||||
\(186\) | −9.95285 | + | 6.39631i | −0.729779 | + | 0.469000i | ||||
\(187\) | 9.14959 | + | 1.31551i | 0.669084 | + | 0.0961998i | ||||
\(188\) | 4.11517 | + | 1.87934i | 0.300130 | + | 0.137065i | ||||
\(189\) | −4.27894 | + | 1.25641i | −0.311247 | + | 0.0913903i | ||||
\(190\) | 1.19209 | − | 1.01981i | 0.0864836 | − | 0.0739845i | ||||
\(191\) | 4.85692 | + | 5.60518i | 0.351434 | + | 0.405577i | 0.903752 | − | 0.428057i | \(-0.140802\pi\) |
−0.552317 | + | 0.833634i | \(0.686256\pi\) | |||||||
\(192\) | −2.56448 | + | 0.368717i | −0.185075 | + | 0.0266098i | ||||
\(193\) | −3.79451 | + | 12.9229i | −0.273135 | + | 0.930212i | 0.702660 | + | 0.711525i | \(0.251995\pi\) |
−0.975795 | + | 0.218686i | \(0.929823\pi\) | |||||||
\(194\) | −7.76897 | + | 8.96587i | −0.557779 | + | 0.643712i | ||||
\(195\) | −22.5020 | − | 6.76229i | −1.61140 | − | 0.484258i | ||||
\(196\) | −0.979114 | − | 0.629238i | −0.0699367 | − | 0.0449456i | ||||
\(197\) | 1.13562 | + | 0.984024i | 0.0809099 | + | 0.0701088i | 0.694377 | − | 0.719612i | \(-0.255680\pi\) |
−0.613467 | + | 0.789720i | \(0.710226\pi\) | |||||||
\(198\) | −1.56368 | + | 5.32542i | −0.111126 | + | 0.378461i | ||||
\(199\) | 0.172134 | + | 1.19722i | 0.0122022 | + | 0.0848684i | 0.995013 | − | 0.0997498i | \(-0.0318042\pi\) |
−0.982810 | + | 0.184618i | \(0.940895\pi\) | |||||||
\(200\) | −1.46933 | + | 4.77923i | −0.103897 | + | 0.337943i | ||||
\(201\) | −3.52790 | − | 7.72503i | −0.248839 | − | 0.544882i | ||||
\(202\) | −5.39140 | − | 18.3614i | −0.379338 | − | 1.29191i | ||||
\(203\) | −13.4018 | − | 6.12042i | −0.940625 | − | 0.429569i | ||||
\(204\) | 2.27978 | − | 15.8562i | 0.159616 | − | 1.11016i | ||||
\(205\) | −7.51813 | + | 8.56614i | −0.525089 | + | 0.598285i | ||||
\(206\) | −4.97095 | −0.346343 | ||||||||
\(207\) | −16.0469 | + | 7.71356i | −1.11534 | + | 0.536129i | ||||
\(208\) | − | 4.05573i | − | 0.281214i | ||||||
\(209\) | 0.882370 | − | 0.567065i | 0.0610348 | − | 0.0392247i | ||||
\(210\) | −13.8654 | + | 1.90398i | −0.956805 | + | 0.131387i | ||||
\(211\) | −2.24700 | + | 4.92025i | −0.154690 | + | 0.338724i | −0.971071 | − | 0.238789i | \(-0.923250\pi\) |
0.816381 | + | 0.577513i | \(0.195977\pi\) | |||||||
\(212\) | 1.49757 | + | 5.10026i | 0.102854 | + | 0.350287i | ||||
\(213\) | −26.6482 | + | 12.1698i | −1.82590 | + | 0.833863i | ||||
\(214\) | −11.4775 | − | 13.2458i | −0.784588 | − | 0.905463i | ||||
\(215\) | −10.2940 | + | 4.62252i | −0.702043 | + | 0.315253i | ||||
\(216\) | 1.77122 | + | 0.520079i | 0.120517 | + | 0.0353869i | ||||
\(217\) | −8.33717 | − | 7.22420i | −0.565964 | − | 0.490410i | ||||
\(218\) | −8.08487 | + | 12.5803i | −0.547577 | + | 0.852046i | ||||
\(219\) | 7.31279 | + | 4.69964i | 0.494152 | + | 0.317572i | ||||
\(220\) | −1.40795 | + | 3.03200i | −0.0949237 | + | 0.204417i | ||||
\(221\) | 24.0608 | + | 7.06489i | 1.61851 | + | 0.475236i | ||||
\(222\) | 14.5679 | − | 2.09455i | 0.977732 | − | 0.140577i | ||||
\(223\) | −4.15604 | + | 3.60123i | −0.278309 | + | 0.241156i | −0.782819 | − | 0.622250i | \(-0.786219\pi\) |
0.504510 | + | 0.863406i | \(0.331673\pi\) | |||||||
\(224\) | −1.00356 | − | 2.19750i | −0.0670533 | − | 0.146826i | ||||
\(225\) | 12.3326 | − | 13.8735i | 0.822175 | − | 0.924901i | ||||
\(226\) | 7.89460 | − | 17.2868i | 0.525141 | − | 1.14990i | ||||
\(227\) | 2.10956 | + | 0.303310i | 0.140017 | + | 0.0201314i | 0.211967 | − | 0.977277i | \(-0.432013\pi\) |
−0.0719501 | + | 0.997408i | \(0.522922\pi\) | |||||||
\(228\) | −0.982721 | − | 1.52914i | −0.0650823 | − | 0.101270i | ||||
\(229\) | −18.6710 | −1.23381 | −0.616906 | − | 0.787037i | \(-0.711614\pi\) | ||||
−0.616906 | + | 0.787037i | \(0.711614\pi\) | |||||||
\(230\) | −10.2482 | + | 3.15829i | −0.675745 | + | 0.208252i | ||||
\(231\) | −9.35728 | −0.615664 | ||||||||
\(232\) | 3.29720 | + | 5.13055i | 0.216472 | + | 0.336837i | ||||
\(233\) | −12.0965 | − | 1.73922i | −0.792469 | − | 0.113940i | −0.265820 | − | 0.964023i | \(-0.585643\pi\) |
−0.526649 | + | 0.850083i | \(0.676552\pi\) | |||||||
\(234\) | −6.25487 | + | 13.6963i | −0.408894 | + | 0.895352i | ||||
\(235\) | −5.41509 | − | 8.54457i | −0.353242 | − | 0.557386i | ||||
\(236\) | −6.11958 | − | 13.4000i | −0.398351 | − | 0.872267i | ||||
\(237\) | −4.60691 | + | 3.99191i | −0.299251 | + | 0.259302i | ||||
\(238\) | 14.7849 | − | 2.12575i | 0.958364 | − | 0.137792i | ||||
\(239\) | −0.676711 | − | 0.198700i | −0.0437728 | − | 0.0128529i | 0.259773 | − | 0.965670i | \(-0.416352\pi\) |
−0.303546 | + | 0.952817i | \(0.598170\pi\) | |||||||
\(240\) | 5.25444 | + | 2.43996i | 0.339172 | + | 0.157499i | ||||
\(241\) | 7.17710 | + | 4.61244i | 0.462318 | + | 0.297114i | 0.750989 | − | 0.660315i | \(-0.229577\pi\) |
−0.288671 | + | 0.957428i | \(0.593213\pi\) | |||||||
\(242\) | 4.73868 | − | 7.37354i | 0.304614 | − | 0.473989i | ||||
\(243\) | 16.6283 | + | 14.4085i | 1.06670 | + | 0.924305i | ||||
\(244\) | −13.8160 | − | 4.05674i | −0.884479 | − | 0.259706i | ||||
\(245\) | 1.06610 | + | 2.37412i | 0.0681108 | + | 0.151677i | ||||
\(246\) | 8.64794 | + | 9.98026i | 0.551373 | + | 0.636318i | ||||
\(247\) | 2.58829 | − | 1.18203i | 0.164689 | − | 0.0752110i | ||||
\(248\) | 1.28652 | + | 4.38147i | 0.0816939 | + | 0.278224i | ||||
\(249\) | −3.14457 | + | 6.88565i | −0.199279 | + | 0.436360i | ||||
\(250\) | 8.58714 | − | 7.15968i | 0.543098 | − | 0.452818i | ||||
\(251\) | 21.2403 | − | 13.6503i | 1.34067 | − | 0.861599i | 0.343681 | − | 0.939086i | \(-0.388326\pi\) |
0.996993 | + | 0.0774875i | \(0.0246898\pi\) | |||||||
\(252\) | 8.96870i | 0.564975i | ||||||||
\(253\) | −7.07539 | + | 1.15983i | −0.444826 | + | 0.0729181i | ||||
\(254\) | −13.2864 | −0.833664 | ||||||||
\(255\) | −23.6282 | + | 26.9219i | −1.47966 | + | 1.68592i | ||||
\(256\) | −0.142315 | + | 0.989821i | −0.00889468 | + | 0.0618638i | ||||
\(257\) | 5.11793 | + | 2.33728i | 0.319247 | + | 0.145795i | 0.568593 | − | 0.822619i | \(-0.307488\pi\) |
−0.249345 | + | 0.968415i | \(0.580215\pi\) | |||||||
\(258\) | 3.68355 | + | 12.5450i | 0.229328 | + | 0.781018i | ||||
\(259\) | 5.70088 | + | 12.4832i | 0.354235 | + | 0.775667i | ||||
\(260\) | −4.95124 | + | 7.59802i | −0.307063 | + | 0.471209i | ||||
\(261\) | −3.22221 | − | 22.4110i | −0.199450 | − | 1.38721i | ||||
\(262\) | −3.92098 | + | 13.3536i | −0.242239 | + | 0.824990i | ||||
\(263\) | −16.8925 | − | 14.6374i | −1.04163 | − | 0.902581i | −0.0462863 | − | 0.998928i | \(-0.514739\pi\) |
−0.995348 | + | 0.0963471i | \(0.969284\pi\) | |||||||
\(264\) | 3.25847 | + | 2.09409i | 0.200545 | + | 0.128883i | ||||
\(265\) | 3.42084 | − | 11.3831i | 0.210141 | − | 0.699257i | ||||
\(266\) | 1.10992 | − | 1.28091i | 0.0680533 | − | 0.0785377i | ||||
\(267\) | 2.64310 | − | 9.00157i | 0.161755 | − | 0.550887i | ||||
\(268\) | −3.24451 | + | 0.466490i | −0.198190 | + | 0.0284954i | ||||
\(269\) | −1.26262 | − | 1.45714i | −0.0769830 | − | 0.0888432i | 0.715951 | − | 0.698150i | \(-0.245993\pi\) |
−0.792934 | + | 0.609307i | \(0.791448\pi\) | |||||||
\(270\) | −2.68331 | − | 3.13663i | −0.163301 | − | 0.190889i | ||||
\(271\) | −1.10040 | + | 0.323107i | −0.0668445 | + | 0.0196273i | −0.314984 | − | 0.949097i | \(-0.601999\pi\) |
0.248139 | + | 0.968724i | \(0.420181\pi\) | |||||||
\(272\) | −5.62426 | − | 2.56851i | −0.341021 | − | 0.155739i | ||||
\(273\) | −25.1264 | − | 3.61263i | −1.52072 | − | 0.218646i | ||||
\(274\) | 14.2298 | − | 9.14492i | 0.859652 | − | 0.552465i | ||||
\(275\) | 6.33911 | − | 3.96133i | 0.382263 | − | 0.238877i | ||||
\(276\) | 2.00999 | + | 12.2616i | 0.120987 | + | 0.738064i | ||||
\(277\) | − | 15.5372i | − | 0.933538i | −0.884379 | − | 0.466769i | \(-0.845418\pi\) | ||
0.884379 | − | 0.466769i | \(-0.154582\pi\) | |||||||
\(278\) | 9.69744 | + | 15.0895i | 0.581614 | + | 0.905009i | ||||
\(279\) | 2.41266 | − | 16.7804i | 0.144442 | − | 1.00462i | ||||
\(280\) | −0.802626 | + | 5.34195i | −0.0479661 | + | 0.319242i | ||||
\(281\) | −3.71420 | + | 1.09059i | −0.221570 | + | 0.0650589i | −0.390633 | − | 0.920546i | \(-0.627744\pi\) |
0.169063 | + | 0.985605i | \(0.445926\pi\) | |||||||
\(282\) | −10.6618 | + | 4.86908i | −0.634901 | + | 0.289950i | ||||
\(283\) | 15.8360 | − | 13.7220i | 0.941354 | − | 0.815688i | −0.0416763 | − | 0.999131i | \(-0.513270\pi\) |
0.983030 | + | 0.183443i | \(0.0587244\pi\) | |||||||
\(284\) | 1.60920 | + | 11.1922i | 0.0954884 | + | 0.664137i | ||||
\(285\) | −0.0257460 | + | 4.06441i | −0.00152506 | + | 0.240755i | ||||
\(286\) | −3.97066 | + | 4.58238i | −0.234790 | + | 0.270962i | ||||
\(287\) | −6.65722 | + | 10.3588i | −0.392963 | + | 0.611462i | ||||
\(288\) | 2.00713 | − | 3.12316i | 0.118271 | − | 0.184034i | ||||
\(289\) | 13.9024 | − | 16.0443i | 0.817790 | − | 0.943780i | ||||
\(290\) | 0.0863824 | − | 13.6368i | 0.00507255 | − | 0.800781i | ||||
\(291\) | −4.37428 | − | 30.4238i | −0.256425 | − | 1.78348i | ||||
\(292\) | 2.53566 | − | 2.19716i | 0.148388 | − | 0.128579i | ||||
\(293\) | 5.42971 | − | 2.47966i | 0.317207 | − | 0.144864i | −0.250448 | − | 0.968130i | \(-0.580578\pi\) |
0.567655 | + | 0.823266i | \(0.307851\pi\) | |||||||
\(294\) | 2.89328 | − | 0.849544i | 0.168740 | − | 0.0495464i | ||||
\(295\) | −4.89430 | + | 32.5745i | −0.284957 | + | 1.89656i | ||||
\(296\) | 0.808439 | − | 5.62282i | 0.0469896 | − | 0.326820i | ||||
\(297\) | −1.49206 | − | 2.32169i | −0.0865779 | − | 0.134718i | ||||
\(298\) | − | 15.8674i | − | 0.919175i | ||||||
\(299\) | −19.4468 | + | 0.382764i | −1.12464 | + | 0.0221358i | ||||
\(300\) | −6.86498 | − | 10.9857i | −0.396350 | − | 0.634258i | ||||
\(301\) | −10.2559 | + | 6.59110i | −0.591143 | + | 0.379905i | ||||
\(302\) | 10.6769 | + | 1.53511i | 0.614388 | + | 0.0883357i | ||||
\(303\) | 45.0996 | + | 20.5963i | 2.59090 | + | 1.18323i | ||||
\(304\) | −0.673164 | + | 0.197659i | −0.0386086 | + | 0.0113365i | ||||
\(305\) | 20.9305 | + | 24.4665i | 1.19848 | + | 1.40095i | ||||
\(306\) | 15.0320 | + | 17.3478i | 0.859321 | + | 0.991709i | ||||
\(307\) | −13.6163 | + | 1.95773i | −0.777123 | + | 0.111733i | −0.519452 | − | 0.854499i | \(-0.673864\pi\) |
−0.257671 | + | 0.966233i | \(0.582955\pi\) | |||||||
\(308\) | −1.01752 | + | 3.46536i | −0.0579787 | + | 0.197457i | ||||
\(309\) | 8.43395 | − | 9.73329i | 0.479790 | − | 0.553708i | ||||
\(310\) | 2.93874 | − | 9.77885i | 0.166909 | − | 0.555401i | ||||
\(311\) | 23.6829 | + | 15.2201i | 1.34293 | + | 0.863050i | 0.997163 | − | 0.0752698i | \(-0.0239818\pi\) |
0.345769 | + | 0.938320i | \(0.387618\pi\) | |||||||
\(312\) | 7.94125 | + | 6.88114i | 0.449585 | + | 0.389568i | ||||
\(313\) | 0.813212 | − | 2.76955i | 0.0459655 | − | 0.156544i | −0.933312 | − | 0.359066i | \(-0.883095\pi\) |
0.979278 | + | 0.202522i | \(0.0649136\pi\) | |||||||
\(314\) | 0.435937 | + | 3.03201i | 0.0246013 | + | 0.171106i | ||||
\(315\) | 10.9490 | − | 16.8020i | 0.616906 | − | 0.946686i | ||||
\(316\) | 0.977398 | + | 2.14020i | 0.0549829 | + | 0.120396i | ||||
\(317\) | 4.75833 | + | 16.2054i | 0.267254 | + | 0.910185i | 0.978327 | + | 0.207066i | \(0.0663916\pi\) |
−0.711073 | + | 0.703119i | \(0.751790\pi\) | |||||||
\(318\) | −12.5273 | − | 5.72104i | −0.702497 | − | 0.320820i | ||||
\(319\) | 1.29757 | − | 9.02482i | 0.0726501 | − | 0.505293i | ||||
\(320\) | 1.47499 | − | 1.68060i | 0.0824543 | − | 0.0939483i | ||||
\(321\) | 45.4090 | 2.53448 | ||||||||
\(322\) | −10.4421 | + | 5.01938i | −0.581914 | + | 0.279719i | ||||
\(323\) | − | 4.33789i | − | 0.241367i | ||||||
\(324\) | 5.34601 | − | 3.43567i | 0.297000 | − | 0.190871i | ||||
\(325\) | 18.5513 | − | 8.18969i | 1.02904 | − | 0.454282i | ||||
\(326\) | −1.22348 | + | 2.67905i | −0.0677623 | + | 0.148379i | ||||
\(327\) | −10.9155 | − | 37.1748i | −0.603629 | − | 2.05577i | ||||
\(328\) | 4.63647 | − | 2.11740i | 0.256006 | − | 0.116914i | ||||
\(329\) | −7.15704 | − | 8.25967i | −0.394581 | − | 0.455370i | ||||
\(330\) | −3.54797 | − | 7.90103i | −0.195309 | − | 0.434937i | ||||
\(331\) | −22.3968 | − | 6.57628i | −1.23104 | − | 0.361465i | −0.399396 | − | 0.916778i | \(-0.630780\pi\) |
−0.831641 | + | 0.555313i | \(0.812598\pi\) | |||||||
\(332\) | 2.20808 | + | 1.91331i | 0.121184 | + | 0.105007i | ||||
\(333\) | −11.4018 | + | 17.7415i | −0.624815 | + | 0.972231i | ||||
\(334\) | 13.0028 | + | 8.35642i | 0.711484 | + | 0.457243i | ||||
\(335\) | 6.64777 | + | 3.08698i | 0.363207 | + | 0.168660i | ||||
\(336\) | 6.00546 | + | 1.76336i | 0.327625 | + | 0.0961993i | ||||
\(337\) | −10.5303 | + | 1.51402i | −0.573620 | + | 0.0824741i | −0.423020 | − | 0.906121i | \(-0.639030\pi\) |
−0.150601 | + | 0.988595i | \(0.548121\pi\) | |||||||
\(338\) | −2.60652 | + | 2.25857i | −0.141776 | + | 0.122850i | ||||
\(339\) | 20.4537 | + | 44.7874i | 1.11089 | + | 2.43252i | ||||
\(340\) | 7.40087 | + | 11.6780i | 0.401369 | + | 0.633327i | ||||
\(341\) | 2.83599 | − | 6.20996i | 0.153578 | − | 0.336288i | ||||
\(342\) | 2.57812 | + | 0.370678i | 0.139409 | + | 0.0200440i | ||||
\(343\) | 10.6627 | + | 16.5915i | 0.575732 | + | 0.895857i | ||||
\(344\) | 5.04646 | 0.272087 | ||||||||
\(345\) | 11.2035 | − | 25.4248i | 0.603176 | − | 1.36882i | ||||
\(346\) | −12.9575 | −0.696598 | ||||||||
\(347\) | 7.02594 | + | 10.9326i | 0.377172 | + | 0.586892i | 0.977000 | − | 0.213237i | \(-0.0684007\pi\) |
−0.599828 | + | 0.800129i | \(0.704764\pi\) | |||||||
\(348\) | −15.6400 | − | 2.24869i | −0.838390 | − | 0.120542i | ||||
\(349\) | 2.69252 | − | 5.89579i | 0.144127 | − | 0.315594i | −0.823777 | − | 0.566914i | \(-0.808137\pi\) |
0.967904 | + | 0.251320i | \(0.0808645\pi\) | |||||||
\(350\) | 8.02510 | − | 9.02779i | 0.428960 | − | 0.482555i | ||||
\(351\) | −3.11016 | − | 6.81030i | −0.166008 | − | 0.363507i | ||||
\(352\) | 1.12985 | − | 0.979025i | 0.0602215 | − | 0.0521822i | ||||
\(353\) | 17.7999 | − | 2.55923i | 0.947391 | − | 0.136214i | 0.348736 | − | 0.937221i | \(-0.386611\pi\) |
0.598655 | + | 0.801007i | \(0.295702\pi\) | |||||||
\(354\) | 36.6205 | + | 10.7527i | 1.94636 | + | 0.571502i | ||||
\(355\) | 10.6488 | − | 22.9321i | 0.565180 | − | 1.21711i | ||||
\(356\) | −3.04622 | − | 1.95768i | −0.161449 | − | 0.103757i | ||||
\(357\) | −20.9225 | + | 32.5560i | −1.10734 | + | 1.72305i | ||||
\(358\) | −8.38931 | − | 7.26938i | −0.443389 | − | 0.384198i | ||||
\(359\) | −20.4195 | − | 5.99571i | −1.07770 | − | 0.316441i | −0.305742 | − | 0.952114i | \(-0.598905\pi\) |
−0.771959 | + | 0.635673i | \(0.780723\pi\) | |||||||
\(360\) | −7.57293 | + | 3.40063i | −0.399128 | + | 0.179229i | ||||
\(361\) | 12.1200 | + | 13.9872i | 0.637896 | + | 0.736171i | ||||
\(362\) | 4.58078 | − | 2.09197i | 0.240760 | − | 0.109952i | ||||
\(363\) | 6.39777 | + | 21.7888i | 0.335796 | + | 1.14361i | ||||
\(364\) | −4.07018 | + | 8.91244i | −0.213335 | + | 0.467139i | ||||
\(365\) | −7.43262 | + | 1.02064i | −0.389041 | + | 0.0534226i | ||||
\(366\) | 31.3841 | − | 20.1693i | 1.64047 | − | 1.05427i | ||||
\(367\) | − | 12.7296i | − | 0.664479i | −0.943195 | − | 0.332239i | \(-0.892196\pi\) | ||
0.943195 | − | 0.332239i | \(-0.107804\pi\) | |||||||
\(368\) | 4.75953 | + | 0.588970i | 0.248108 | + | 0.0307022i | ||||
\(369\) | −18.9230 | −0.985090 | ||||||||
\(370\) | −8.37888 | + | 9.54687i | −0.435597 | + | 0.496318i | ||||
\(371\) | 1.82752 | − | 12.7107i | 0.0948802 | − | 0.659906i | ||||
\(372\) | −10.7618 | − | 4.91477i | −0.557975 | − | 0.254819i | ||||
\(373\) | 6.44841 | + | 21.9613i | 0.333886 | + | 1.13711i | 0.939841 | + | 0.341612i | \(0.110973\pi\) |
−0.605955 | + | 0.795499i | \(0.707209\pi\) | |||||||
\(374\) | 3.83996 | + | 8.40834i | 0.198560 | + | 0.434785i | ||||
\(375\) | −0.550426 | + | 28.9614i | −0.0284239 | + | 1.49556i | ||||
\(376\) | 0.643832 | + | 4.47795i | 0.0332031 | + | 0.230933i | ||||
\(377\) | 6.96855 | − | 23.7327i | 0.358899 | − | 1.22230i | ||||
\(378\) | −3.37033 | − | 2.92041i | −0.173351 | − | 0.150209i | ||||
\(379\) | −17.2762 | − | 11.1027i | −0.887417 | − | 0.570308i | 0.0156170 | − | 0.999878i | \(-0.495029\pi\) |
−0.903034 | + | 0.429570i | \(0.858665\pi\) | |||||||
\(380\) | 1.50241 | + | 0.451504i | 0.0770720 | + | 0.0231617i | ||||
\(381\) | 22.5423 | − | 26.0152i | 1.15488 | − | 1.33280i | ||||
\(382\) | −2.08953 | + | 7.11629i | −0.106910 | + | 0.364101i | ||||
\(383\) | 10.6314 | − | 1.52857i | 0.543240 | − | 0.0781062i | 0.134769 | − | 0.990877i | \(-0.456971\pi\) |
0.408472 | + | 0.912771i | \(0.366062\pi\) | |||||||
\(384\) | −1.69665 | − | 1.95803i | −0.0865816 | − | 0.0999205i | ||||
\(385\) | 6.13675 | − | 5.24984i | 0.312758 | − | 0.267556i | ||||
\(386\) | −12.9229 | + | 3.79451i | −0.657759 | + | 0.193135i | ||||
\(387\) | −17.0420 | − | 7.78280i | −0.866292 | − | 0.395622i | ||||
\(388\) | −11.7428 | − | 1.68836i | −0.596150 | − | 0.0857134i | ||||
\(389\) | −11.6149 | + | 7.46445i | −0.588900 | + | 0.378463i | −0.800892 | − | 0.598808i | \(-0.795641\pi\) |
0.211993 | + | 0.977271i | \(0.432005\pi\) | |||||||
\(390\) | −6.47668 | − | 22.5858i | −0.327960 | − | 1.14368i | ||||
\(391\) | −11.7850 | + | 27.2102i | −0.595992 | + | 1.37608i | ||||
\(392\) | − | 1.16388i | − | 0.0587846i | ||||||
\(393\) | −19.4943 | − | 30.3338i | −0.983359 | − | 1.53014i | ||||
\(394\) | −0.213849 | + | 1.48735i | −0.0107736 | + | 0.0749317i | ||||
\(395\) | 0.781700 | − | 5.20267i | 0.0393316 | − | 0.261775i | ||||
\(396\) | −5.32542 | + | 1.56368i | −0.267612 | + | 0.0785781i | ||||
\(397\) | −28.8570 | + | 13.1786i | −1.44829 | + | 0.661413i | −0.975548 | − | 0.219787i | \(-0.929464\pi\) |
−0.472744 | + | 0.881200i | \(0.656737\pi\) | |||||||
\(398\) | −0.914100 | + | 0.792072i | −0.0458197 | + | 0.0397030i | ||||
\(399\) | 0.624934 | + | 4.34651i | 0.0312858 | + | 0.217598i | ||||
\(400\) | −4.81493 | + | 1.34777i | −0.240746 | + | 0.0673887i | ||||
\(401\) | −8.35448 | + | 9.64158i | −0.417203 | + | 0.481478i | −0.924983 | − | 0.380009i | \(-0.875921\pi\) |
0.507780 | + | 0.861487i | \(0.330466\pi\) | |||||||
\(402\) | 4.59138 | − | 7.14433i | 0.228997 | − | 0.356327i | ||||
\(403\) | 10.0128 | − | 15.5802i | 0.498774 | − | 0.776107i | ||||
\(404\) | 12.5318 | − | 14.4625i | 0.623480 | − | 0.719535i | ||||
\(405\) | −14.2095 | − | 0.0900101i | −0.706076 | − | 0.00447264i | ||||
\(406\) | −2.09676 | − | 14.5833i | −0.104061 | − | 0.723757i | ||||
\(407\) | −6.41830 | + | 5.56149i | −0.318143 | + | 0.275673i | ||||
\(408\) | 14.5716 | − | 6.65464i | 0.721403 | − | 0.329454i | ||||
\(409\) | −10.7737 | + | 3.16344i | −0.532725 | + | 0.156422i | −0.537021 | − | 0.843569i | \(-0.680451\pi\) |
0.00429653 | + | 0.999991i | \(0.498632\pi\) | |||||||
\(410\) | −11.2709 | − | 1.69345i | −0.556631 | − | 0.0836335i | ||||
\(411\) | −6.23682 | + | 43.3781i | −0.307640 | + | 2.13968i | ||||
\(412\) | −2.68750 | − | 4.18183i | −0.132404 | − | 0.206024i | ||||
\(413\) | 35.5879i | 1.75116i | ||||||||
\(414\) | −15.1647 | − | 9.32926i | −0.745303 | − | 0.458508i | ||||
\(415\) | −1.80085 | − | 6.28003i | −0.0884004 | − | 0.308275i | ||||
\(416\) | 3.41190 | − | 2.19269i | 0.167282 | − | 0.107506i | ||||
\(417\) | −45.9989 | − | 6.61364i | −2.25258 | − | 0.323872i | ||||
\(418\) | 0.954090 | + | 0.435719i | 0.0466661 | + | 0.0213117i | ||||
\(419\) | 11.9348 | − | 3.50437i | 0.583053 | − | 0.171200i | 0.0231127 | − | 0.999733i | \(-0.492642\pi\) |
0.559940 | + | 0.828533i | \(0.310824\pi\) | |||||||
\(420\) | −9.09795 | − | 10.6350i | −0.443934 | − | 0.518933i | ||||
\(421\) | −5.76463 | − | 6.65273i | −0.280951 | − | 0.324234i | 0.597681 | − | 0.801734i | \(-0.296089\pi\) |
−0.878632 | + | 0.477499i | \(0.841543\pi\) | |||||||
\(422\) | −5.35400 | + | 0.769790i | −0.260629 | + | 0.0374728i | ||||
\(423\) | 4.73181 | − | 16.1151i | 0.230068 | − | 0.783541i | ||||
\(424\) | −3.48096 | + | 4.01724i | −0.169050 | + | 0.195095i | ||||
\(425\) | 0.391647 | − | 30.9126i | 0.0189977 | − | 1.49948i | ||||
\(426\) | −24.6450 | − | 15.8384i | −1.19405 | − | 0.767372i | ||||
\(427\) | 26.2894 | + | 22.7799i | 1.27223 | + | 1.10240i | ||||
\(428\) | 4.93784 | − | 16.8167i | 0.238679 | − | 0.812867i | ||||
\(429\) | −2.23566 | − | 15.5494i | −0.107939 | − | 0.750731i | ||||
\(430\) | −9.45406 | − | 6.16072i | −0.455915 | − | 0.297096i | ||||
\(431\) | 11.4845 | + | 25.1475i | 0.553188 | + | 1.21131i | 0.955277 | + | 0.295713i | \(0.0955571\pi\) |
−0.402089 | + | 0.915601i | \(0.631716\pi\) | |||||||
\(432\) | 0.520079 | + | 1.77122i | 0.0250223 | + | 0.0852181i | ||||
\(433\) | 9.46083 | + | 4.32062i | 0.454659 | + | 0.207636i | 0.629562 | − | 0.776950i | \(-0.283234\pi\) |
−0.174904 | + | 0.984586i | \(0.555961\pi\) | |||||||
\(434\) | 1.56997 | − | 10.9194i | 0.0753609 | − | 0.524146i | ||||
\(435\) | 26.5548 | + | 23.3060i | 1.27320 | + | 1.11744i | ||||
\(436\) | −14.9542 | −0.716178 | ||||||||
\(437\) | 1.01129 | + | 3.20910i | 0.0483763 | + | 0.153512i | ||||
\(438\) | 8.69273i | 0.415354i | ||||||||
\(439\) | 8.17338 | − | 5.25271i | 0.390094 | − | 0.250698i | −0.330862 | − | 0.943679i | \(-0.607339\pi\) |
0.720956 | + | 0.692981i | \(0.243703\pi\) | |||||||
\(440\) | −3.31187 | + | 0.454782i | −0.157887 | + | 0.0216809i | ||||
\(441\) | −1.79496 | + | 3.93043i | −0.0854745 | + | 0.187163i | ||||
\(442\) | 7.06489 | + | 24.0608i | 0.336043 | + | 1.14446i | ||||
\(443\) | 8.65078 | − | 3.95068i | 0.411011 | − | 0.187702i | −0.199169 | − | 0.979965i | \(-0.563824\pi\) |
0.610180 | + | 0.792263i | \(0.291097\pi\) | |||||||
\(444\) | 9.63804 | + | 11.1229i | 0.457401 | + | 0.527869i | ||||
\(445\) | 3.31685 | + | 7.38636i | 0.157234 | + | 0.350147i | ||||
\(446\) | −5.27647 | − | 1.54931i | −0.249848 | − | 0.0733620i | ||||
\(447\) | 31.0690 | + | 26.9214i | 1.46951 | + | 1.27334i | ||||
\(448\) | 1.30608 | − | 2.03231i | 0.0617067 | − | 0.0960175i | ||||
\(449\) | 13.4491 | + | 8.64324i | 0.634704 | + | 0.407900i | 0.818049 | − | 0.575149i | \(-0.195056\pi\) |
−0.183344 | + | 0.983049i | \(0.558692\pi\) | |||||||
\(450\) | 18.3387 | + | 2.87428i | 0.864493 | + | 0.135495i | ||||
\(451\) | −7.31153 | − | 2.14686i | −0.344286 | − | 0.101092i | ||||
\(452\) | 18.8107 | − | 2.70457i | 0.884781 | − | 0.127212i | ||||
\(453\) | −21.1208 | + | 18.3013i | −0.992341 | + | 0.859868i | ||||
\(454\) | 0.885356 | + | 1.93866i | 0.0415518 | + | 0.0909858i | ||||
\(455\) | 18.5054 | − | 11.7277i | 0.867547 | − | 0.549805i | ||||
\(456\) | 0.755099 | − | 1.65344i | 0.0353607 | − | 0.0774292i | ||||
\(457\) | −0.0670682 | − | 0.00964295i | −0.00313732 | − | 0.000451078i | 0.140746 | − | 0.990046i | \(-0.455050\pi\) |
−0.143883 | + | 0.989595i | \(0.545959\pi\) | |||||||
\(458\) | −10.0943 | − | 15.7070i | −0.471675 | − | 0.733940i | ||||
\(459\) | −11.4138 | −0.532752 | ||||||||
\(460\) | −8.19751 | − | 6.91382i | −0.382211 | − | 0.322358i | ||||
\(461\) | −10.2698 | −0.478315 | −0.239157 | − | 0.970981i | \(-0.576871\pi\) | ||||
−0.239157 | + | 0.970981i | \(0.576871\pi\) | |||||||
\(462\) | −5.05893 | − | 7.87184i | −0.235363 | − | 0.366231i | ||||
\(463\) | 31.4603 | + | 4.52330i | 1.46208 | + | 0.210216i | 0.826988 | − | 0.562219i | \(-0.190052\pi\) |
0.635094 | + | 0.772435i | \(0.280961\pi\) | |||||||
\(464\) | −2.53349 | + | 5.54757i | −0.117614 | + | 0.257539i | ||||
\(465\) | 14.1613 | + | 22.3454i | 0.656716 | + | 1.03624i | ||||
\(466\) | −5.07675 | − | 11.1165i | −0.235176 | − | 0.514963i | ||||
\(467\) | −3.00482 | + | 2.60369i | −0.139046 | + | 0.120484i | −0.721607 | − | 0.692303i | \(-0.756596\pi\) |
0.582561 | + | 0.812787i | \(0.302051\pi\) | |||||||
\(468\) | −14.9037 | + | 2.14282i | −0.688922 | + | 0.0990520i | ||||
\(469\) | 7.59795 | + | 2.23096i | 0.350841 | + | 0.103016i | ||||
\(470\) | 4.26053 | − | 9.17501i | 0.196524 | − | 0.423211i | ||||
\(471\) | −6.67640 | − | 4.29066i | −0.307633 | − | 0.197703i | ||||
\(472\) | 7.96432 | − | 12.3927i | 0.366587 | − | 0.570421i | ||||
\(473\) | −5.70176 | − | 4.94061i | −0.262167 | − | 0.227169i | ||||
\(474\) | −5.84889 | − | 1.71739i | −0.268648 | − | 0.0788823i | ||||
\(475\) | −2.26343 | − | 2.67999i | −0.103853 | − | 0.122967i | ||||
\(476\) | 9.78163 | + | 11.2886i | 0.448340 | + | 0.517412i | ||||
\(477\) | 17.9508 | − | 8.19785i | 0.821910 | − | 0.375354i | ||||
\(478\) | −0.198700 | − | 0.676711i | −0.00908834 | − | 0.0309521i | ||||
\(479\) | −1.46663 | + | 3.21147i | −0.0670120 | + | 0.146736i | −0.940174 | − | 0.340694i | \(-0.889338\pi\) |
0.873162 | + | 0.487429i | \(0.162065\pi\) | |||||||
\(480\) | 0.788135 | + | 5.73946i | 0.0359733 | + | 0.261969i | ||||
\(481\) | −19.3817 | + | 12.4559i | −0.883732 | + | 0.567940i | ||||
\(482\) | 8.53144i | 0.388596i | ||||||||
\(483\) | 7.88838 | − | 28.9620i | 0.358934 | − | 1.31782i | ||||
\(484\) | 8.76494 | 0.398406 | ||||||||
\(485\) | 19.9378 | + | 17.4986i | 0.905331 | + | 0.794570i | ||||
\(486\) | −3.13126 | + | 21.7784i | −0.142037 | + | 0.987889i | ||||
\(487\) | 3.53050 | + | 1.61232i | 0.159982 | + | 0.0730614i | 0.493797 | − | 0.869577i | \(-0.335609\pi\) |
−0.333815 | + | 0.942639i | \(0.608336\pi\) | |||||||
\(488\) | −4.05674 | − | 13.8160i | −0.183640 | − | 0.625421i | ||||
\(489\) | −3.16986 | − | 6.94102i | −0.143346 | − | 0.313884i | ||||
\(490\) | −1.42086 | + | 2.18041i | −0.0641879 | + | 0.0985009i | ||||
\(491\) | −3.74182 | − | 26.0250i | −0.168866 | − | 1.17449i | −0.881233 | − | 0.472682i | \(-0.843286\pi\) |
0.712367 | − | 0.701807i | \(-0.247623\pi\) | |||||||
\(492\) | −3.72050 | + | 12.6708i | −0.167733 | + | 0.571246i | ||||
\(493\) | −28.4980 | − | 24.6937i | −1.28349 | − | 1.11215i | ||||
\(494\) | 2.39373 | + | 1.53836i | 0.107699 | + | 0.0692139i | ||||
\(495\) | 11.8856 | + | 3.57186i | 0.534219 | + | 0.160543i | ||||
\(496\) | −2.99039 | + | 3.45109i | −0.134272 | + | 0.154958i | ||||
\(497\) | 7.69589 | − | 26.2098i | 0.345208 | − | 1.17567i | ||||
\(498\) | −7.49266 | + | 1.07728i | −0.335754 | + | 0.0482741i | ||||
\(499\) | 11.6560 | + | 13.4517i | 0.521793 | + | 0.602181i | 0.954079 | − | 0.299555i | \(-0.0968383\pi\) |
−0.432286 | + | 0.901737i | \(0.642293\pi\) | |||||||
\(500\) | 10.6657 | + | 3.35314i | 0.476983 | + | 0.149957i | ||||
\(501\) | −38.4234 | + | 11.2821i | −1.71663 | + | 0.504048i | ||||
\(502\) | 22.9667 | + | 10.4885i | 1.02505 | + | 0.468127i | ||||
\(503\) | −12.5167 | − | 1.79963i | −0.558094 | − | 0.0802417i | −0.142504 | − | 0.989794i | \(-0.545516\pi\) |
−0.415589 | + | 0.909552i | \(0.636425\pi\) | |||||||
\(504\) | −7.54495 | + | 4.84885i | −0.336079 | + | 0.215985i | ||||
\(505\) | −41.1329 | + | 11.7952i | −1.83039 | + | 0.524880i | ||||
\(506\) | −4.80096 | − | 5.32515i | −0.213429 | − | 0.236732i | ||||
\(507\) | − | 8.93565i | − | 0.396846i | ||||||
\(508\) | −7.18318 | − | 11.1772i | −0.318702 | − | 0.495910i | ||||
\(509\) | 0.724478 | − | 5.03886i | 0.0321119 | − | 0.223343i | −0.967446 | − | 0.253078i | \(-0.918557\pi\) |
0.999558 | + | 0.0297345i | \(0.00946618\pi\) | |||||||
\(510\) | −35.4225 | − | 5.32222i | −1.56854 | − | 0.235672i | ||||
\(511\) | −7.77710 | + | 2.28356i | −0.344039 | + | 0.101019i | ||||
\(512\) | −0.909632 | + | 0.415415i | −0.0402004 | + | 0.0183589i | ||||
\(513\) | −0.978788 | + | 0.848125i | −0.0432146 | + | 0.0374456i | ||||
\(514\) | 0.800716 | + | 5.56910i | 0.0353181 | + | 0.245643i | ||||
\(515\) | −0.0704090 | + | 11.1152i | −0.00310259 | + | 0.489793i | ||||
\(516\) | −8.56205 | + | 9.88114i | −0.376923 | + | 0.434993i | ||||
\(517\) | 3.65659 | − | 5.68976i | 0.160817 | − | 0.250235i | ||||
\(518\) | −7.41939 | + | 11.5448i | −0.325989 | + | 0.507249i | ||||
\(519\) | 21.9842 | − | 25.3712i | 0.965001 | − | 1.11367i | ||||
\(520\) | −9.06870 | − | 0.0574457i | −0.397689 | − | 0.00251916i | ||||
\(521\) | −0.479945 | − | 3.33809i | −0.0210268 | − | 0.146244i | 0.976603 | − | 0.215048i | \(-0.0689909\pi\) |
−0.997630 | + | 0.0688037i | \(0.978082\pi\) | |||||||
\(522\) | 17.1113 | − | 14.8270i | 0.748939 | − | 0.648960i | ||||
\(523\) | −11.6173 | + | 5.30545i | −0.507990 | + | 0.231991i | −0.652887 | − | 0.757456i | \(-0.726442\pi\) |
0.144897 | + | 0.989447i | \(0.453715\pi\) | |||||||
\(524\) | −13.3536 | + | 3.92098i | −0.583356 | + | 0.171289i | ||||
\(525\) | 4.06096 | + | 31.0304i | 0.177235 | + | 1.35428i | ||||
\(526\) | 3.18101 | − | 22.1244i | 0.138699 | − | 0.964671i | ||||
\(527\) | −15.2647 | − | 23.7523i | −0.664939 | − | 1.03467i | ||||
\(528\) | 3.87335i | 0.168566i | ||||||||
\(529\) | 2.37487 | − | 22.8771i | 0.103255 | − | 0.994655i | ||||
\(530\) | 11.4255 | − | 3.27636i | 0.496292 | − | 0.142316i | ||||
\(531\) | −46.0081 | + | 29.5676i | −1.99658 | + | 1.28312i | ||||
\(532\) | 1.67764 | + | 0.241208i | 0.0727348 | + | 0.0104577i | ||||
\(533\) | −18.8043 | − | 8.58761i | −0.814502 | − | 0.371971i | ||||
\(534\) | 9.00157 | − | 2.64310i | 0.389536 | − | 0.114378i | ||||
\(535\) | −29.7804 | + | 25.4764i | −1.28752 | + | 1.10144i | ||||
\(536\) | −2.14655 | − | 2.47725i | −0.0927169 | − | 0.107001i | ||||
\(537\) | 28.4674 | − | 4.09299i | 1.22846 | − | 0.176626i | ||||
\(538\) | 0.543199 | − | 1.84997i | 0.0234190 | − | 0.0797577i | ||||
\(539\) | −1.13946 | + | 1.31501i | −0.0490801 | + | 0.0566415i | ||||
\(540\) | 1.18800 | − | 3.95313i | 0.0511232 | − | 0.170116i | ||||
\(541\) | 11.6836 | + | 7.50856i | 0.502315 | + | 0.322818i | 0.767142 | − | 0.641478i | \(-0.221678\pi\) |
−0.264826 | + | 0.964296i | \(0.585315\pi\) | |||||||
\(542\) | −0.866736 | − | 0.751031i | −0.0372295 | − | 0.0322595i | ||||
\(543\) | −3.67581 | + | 12.5187i | −0.157744 | + | 0.537227i | ||||
\(544\) | −0.879934 | − | 6.12007i | −0.0377269 | − | 0.262396i | ||||
\(545\) | 28.0153 | + | 18.2561i | 1.20005 | + | 0.782008i | ||||
\(546\) | −10.5452 | − | 23.0908i | −0.451294 | − | 0.988195i | ||||
\(547\) | −5.65506 | − | 19.2594i | −0.241793 | − | 0.823471i | −0.987557 | − | 0.157261i | \(-0.949734\pi\) |
0.745764 | − | 0.666210i | \(-0.232085\pi\) | |||||||
\(548\) | 15.3864 | + | 7.02673i | 0.657274 | + | 0.300167i | ||||
\(549\) | −7.60778 | + | 52.9133i | −0.324692 | + | 2.25828i | ||||
\(550\) | 6.75967 | + | 3.19114i | 0.288233 | + | 0.136071i | ||||
\(551\) | −4.27874 | −0.182280 | ||||||||
\(552\) | −9.22846 | + | 8.32005i | −0.392789 | + | 0.354125i | ||||
\(553\) | − | 5.68397i | − | 0.241707i | ||||||
\(554\) | 13.0707 | − | 8.40003i | 0.555321 | − | 0.356883i | ||||
\(555\) | −4.47711 | − | 32.6038i | −0.190043 | − | 1.38395i | ||||
\(556\) | −7.45127 | + | 16.3160i | −0.316004 | + | 0.691953i | ||||
\(557\) | 10.4569 | + | 35.6128i | 0.443071 | + | 1.50896i | 0.814313 | + | 0.580425i | \(0.197114\pi\) |
−0.371242 | + | 0.928536i | \(0.621068\pi\) | |||||||
\(558\) | 15.4210 | − | 7.04252i | 0.652821 | − | 0.298133i | ||||
\(559\) | −13.4031 | − | 15.4680i | −0.566889 | − | 0.654225i | ||||
\(560\) | −4.92787 | + | 2.21286i | −0.208240 | + | 0.0935106i | ||||
\(561\) | −22.9789 | − | 6.74721i | −0.970169 | − | 0.284867i | ||||
\(562\) | −2.92551 | − | 2.53496i | −0.123405 | − | 0.106931i | ||||
\(563\) | 10.5256 | − | 16.3781i | 0.443601 | − | 0.690257i | −0.545398 | − | 0.838177i | \(-0.683622\pi\) |
0.988999 | + | 0.147920i | \(0.0472579\pi\) | |||||||
\(564\) | −9.86034 | − | 6.33685i | −0.415195 | − | 0.266830i | ||||
\(565\) | −38.5418 | − | 17.8974i | −1.62147 | − | 0.752948i | ||||
\(566\) | 20.1053 | + | 5.90344i | 0.845088 | + | 0.248140i | ||||
\(567\) | −15.1957 | + | 2.18482i | −0.638161 | + | 0.0917537i | ||||
\(568\) | −8.54550 | + | 7.40472i | −0.358561 | + | 0.310695i | ||||
\(569\) | −1.96027 | − | 4.29239i | −0.0821787 | − | 0.179946i | 0.864082 | − | 0.503351i | \(-0.167900\pi\) |
−0.946261 | + | 0.323405i | \(0.895172\pi\) | |||||||
\(570\) | −3.43312 | + | 2.17573i | −0.143798 | + | 0.0911312i | ||||
\(571\) | 15.2898 | − | 33.4800i | 0.639858 | − | 1.40109i | −0.260299 | − | 0.965528i | \(-0.583821\pi\) |
0.900157 | − | 0.435566i | \(-0.143452\pi\) | |||||||
\(572\) | −6.00165 | − | 0.862906i | −0.250941 | − | 0.0360799i | ||||
\(573\) | −10.3887 | − | 16.1652i | −0.433996 | − | 0.675311i | ||||
\(574\) | −12.3136 | −0.513958 | ||||||||
\(575\) | 6.91686 | + | 22.9599i | 0.288453 | + | 0.957494i | ||||
\(576\) | 3.71251 | 0.154688 | ||||||||
\(577\) | −23.0160 | − | 35.8136i | −0.958168 | − | 1.49094i | −0.868934 | − | 0.494928i | \(-0.835194\pi\) |
−0.0892342 | − | 0.996011i | \(-0.528442\pi\) | |||||||
\(578\) | 21.0135 | + | 3.02129i | 0.874047 | + | 0.125669i | ||||
\(579\) | 14.4958 | − | 31.7414i | 0.602426 | − | 1.31913i | ||||
\(580\) | 11.5187 | − | 7.29995i | 0.478289 | − | 0.303114i | ||||
\(581\) | −2.93212 | − | 6.42044i | −0.121645 | − | 0.266365i | ||||
\(582\) | 23.2292 | − | 20.1282i | 0.962882 | − | 0.834342i | ||||
\(583\) | 7.86596 | − | 1.13095i | 0.325775 | − | 0.0468394i | ||||
\(584\) | 3.21925 | + | 0.945259i | 0.133214 | + | 0.0391151i | ||||
\(585\) | 30.5365 | + | 14.1800i | 1.26253 | + | 0.586272i | ||||
\(586\) | 5.02155 | + | 3.22715i | 0.207438 | + | 0.133312i | ||||
\(587\) | 16.0681 | − | 25.0024i | 0.663201 | − | 1.03196i | −0.332833 | − | 0.942986i | \(-0.608005\pi\) |
0.996034 | − | 0.0889750i | \(-0.0283591\pi\) | |||||||
\(588\) | 2.27891 | + | 1.97468i | 0.0939806 | + | 0.0814346i | ||||
\(589\) | −3.07397 | − | 0.902598i | −0.126661 | − | 0.0371909i | ||||
\(590\) | −30.0494 | + | 13.4937i | −1.23712 | + | 0.555528i | ||||
\(591\) | −2.54946 | − | 2.94223i | −0.104871 | − | 0.121027i | ||||
\(592\) | 5.16729 | − | 2.35982i | 0.212374 | − | 0.0969881i | ||||
\(593\) | 12.1010 | + | 41.2121i | 0.496927 | + | 1.69238i | 0.700781 | + | 0.713377i | \(0.252835\pi\) |
−0.203854 | + | 0.979001i | \(0.565347\pi\) | |||||||
\(594\) | 1.14646 | − | 2.51040i | 0.0470398 | − | 0.103003i | ||||
\(595\) | −4.54381 | − | 33.0895i | −0.186278 | − | 1.35654i | ||||
\(596\) | 13.3485 | − | 8.57858i | 0.546777 | − | 0.351392i | ||||
\(597\) | − | 3.13371i | − | 0.128254i | ||||||
\(598\) | −10.8357 | − | 16.1528i | −0.443107 | − | 0.660536i | ||||
\(599\) | −41.0730 | −1.67820 | −0.839099 | − | 0.543979i | \(-0.816917\pi\) | ||||
−0.839099 | + | 0.543979i | \(0.816917\pi\) | |||||||
\(600\) | 5.53024 | − | 11.7145i | 0.225771 | − | 0.478242i | ||||
\(601\) | 4.05076 | − | 28.1736i | 0.165234 | − | 1.14923i | −0.723340 | − | 0.690492i | \(-0.757394\pi\) |
0.888574 | − | 0.458734i | \(-0.151697\pi\) | |||||||
\(602\) | −11.0896 | − | 5.06444i | −0.451977 | − | 0.206411i | ||||
\(603\) | 3.42844 | + | 11.6762i | 0.139617 | + | 0.475492i | ||||
\(604\) | 4.48097 | + | 9.81195i | 0.182328 | + | 0.399243i | ||||
\(605\) | −16.4203 | − | 10.7002i | −0.667579 | − | 0.435027i | ||||
\(606\) | 7.05598 | + | 49.0754i | 0.286629 | + | 1.99355i | ||||
\(607\) | 2.04027 | − | 6.94851i | 0.0828119 | − | 0.282031i | −0.907668 | − | 0.419689i | \(-0.862139\pi\) |
0.990480 | + | 0.137658i | \(0.0439573\pi\) | |||||||
\(608\) | −0.530221 | − | 0.459439i | −0.0215033 | − | 0.0186327i | ||||
\(609\) | 32.1121 | + | 20.6372i | 1.30125 | + | 0.836260i | ||||
\(610\) | −9.26667 | + | 30.8354i | −0.375196 | + | 1.24849i | ||||
\(611\) | 12.0155 | − | 13.8666i | 0.486093 | − | 0.560982i | ||||
\(612\) | −6.46702 | + | 22.0247i | −0.261414 | + | 0.890294i | ||||
\(613\) | 26.7135 | − | 3.84083i | 1.07895 | − | 0.155130i | 0.420155 | − | 0.907452i | \(-0.361976\pi\) |
0.658795 | + | 0.752323i | \(0.271067\pi\) | |||||||
\(614\) | −9.00847 | − | 10.3963i | −0.363552 | − | 0.419562i | ||||
\(615\) | 22.4386 | − | 19.1956i | 0.904811 | − | 0.774043i | ||||
\(616\) | −3.46536 | + | 1.01752i | −0.139623 | + | 0.0409972i | ||||
\(617\) | 14.4775 | + | 6.61165i | 0.582842 | + | 0.266175i | 0.684940 | − | 0.728599i | \(-0.259828\pi\) |
−0.102098 | + | 0.994774i | \(0.532556\pi\) | |||||||
\(618\) | 12.7479 | + | 1.83287i | 0.512796 | + | 0.0737289i | ||||
\(619\) | −11.6323 | + | 7.47565i | −0.467543 | + | 0.300472i | −0.753119 | − | 0.657884i | \(-0.771452\pi\) |
0.285576 | + | 0.958356i | \(0.407815\pi\) | |||||||
\(620\) | 9.81530 | − | 2.81462i | 0.394192 | − | 0.113038i | ||||
\(621\) | 8.44377 | − | 2.66089i | 0.338837 | − | 0.106778i | ||||
\(622\) | 28.1519i | 1.12879i | ||||||||
\(623\) | 4.72939 | + | 7.35907i | 0.189479 | + | 0.294835i | ||||
\(624\) | −1.49541 | + | 10.4008i | −0.0598645 | + | 0.416366i | ||||
\(625\) | −15.8876 | − | 19.3024i | −0.635504 | − | 0.772098i | ||||
\(626\) | 2.76955 | − | 0.813212i | 0.110693 | − | 0.0325025i | ||||
\(627\) | −2.47191 | + | 1.12888i | −0.0987184 | + | 0.0450832i | ||||
\(628\) | −2.31500 | + | 2.00596i | −0.0923786 | + | 0.0800465i | ||||
\(629\) | 4.99859 | + | 34.7659i | 0.199307 | + | 1.38621i | ||||
\(630\) | 20.0542 | + | 0.127033i | 0.798980 | + | 0.00506114i | ||||
\(631\) | −23.8670 | + | 27.5440i | −0.950131 | + | 1.09651i | 0.0451017 | + | 0.998982i | \(0.485639\pi\) |
−0.995233 | + | 0.0975273i | \(0.968907\pi\) | |||||||
\(632\) | −1.27203 | + | 1.97932i | −0.0505987 | + | 0.0787331i | ||||
\(633\) | 7.57658 | − | 11.7894i | 0.301142 | − | 0.468586i | ||||
\(634\) | −11.0603 | + | 12.7643i | −0.439260 | + | 0.506933i | ||||
\(635\) | −0.188190 | + | 29.7087i | −0.00746809 | + | 1.17895i | ||||
\(636\) | −1.95994 | − | 13.6317i | −0.0777167 | − | 0.540531i | ||||
\(637\) | −3.56741 | + | 3.09118i | −0.141346 | + | 0.122477i | ||||
\(638\) | 8.29368 | − | 3.78760i | 0.328350 | − | 0.149952i | ||||
\(639\) | 40.2781 | − | 11.8267i | 1.59338 | − | 0.467858i | ||||
\(640\) | 2.21125 | + | 0.332239i | 0.0874072 | + | 0.0131329i | ||||
\(641\) | 0.564030 | − | 3.92292i | 0.0222779 | − | 0.154946i | −0.975646 | − | 0.219351i | \(-0.929606\pi\) |
0.997924 | + | 0.0644053i | \(0.0205150\pi\) | |||||||
\(642\) | 24.5500 | + | 38.2005i | 0.968910 | + | 1.50765i | ||||
\(643\) | 24.8411i | 0.979637i | 0.871824 | + | 0.489818i | \(0.162937\pi\) | ||||
−0.871824 | + | 0.489818i | \(0.837063\pi\) | |||||||
\(644\) | −9.86797 | − | 6.07074i | −0.388853 | − | 0.239221i | ||||
\(645\) | 28.1031 | − | 8.05880i | 1.10656 | − | 0.317315i | ||||
\(646\) | 3.64927 | − | 2.34524i | 0.143579 | − | 0.0922723i | ||||
\(647\) | −25.4353 | − | 3.65704i | −0.999963 | − | 0.143773i | −0.377157 | − | 0.926149i | \(-0.623098\pi\) |
−0.622806 | + | 0.782376i | \(0.714007\pi\) | |||||||
\(648\) | 5.78054 | + | 2.63988i | 0.227081 | + | 0.103704i | ||||
\(649\) | −21.1313 | + | 6.20471i | −0.829476 | + | 0.243556i | ||||
\(650\) | 16.9192 | + | 11.1787i | 0.663626 | + | 0.438465i | ||||
\(651\) | 18.7168 | + | 21.6004i | 0.733570 | + | 0.846585i | ||||
\(652\) | −2.91522 | + | 0.419146i | −0.114169 | + | 0.0164150i | ||||
\(653\) | 12.7330 | − | 43.3646i | 0.498280 | − | 1.69699i | −0.198839 | − | 0.980032i | \(-0.563717\pi\) |
0.697120 | − | 0.716955i | \(-0.254465\pi\) | |||||||
\(654\) | 25.3721 | − | 29.2809i | 0.992126 | − | 1.14497i | ||||
\(655\) | 29.8035 | + | 8.95654i | 1.16452 | + | 0.349961i | ||||
\(656\) | 4.28794 | + | 2.75569i | 0.167416 | + | 0.107592i | ||||
\(657\) | −9.41367 | − | 8.15699i | −0.367262 | − | 0.318234i | ||||
\(658\) | 3.07909 | − | 10.4864i | 0.120035 | − | 0.408803i | ||||
\(659\) | −1.30081 | − | 9.04735i | −0.0506724 | − | 0.352435i | −0.999345 | − | 0.0361759i | \(-0.988482\pi\) |
0.948673 | − | 0.316259i | \(-0.102427\pi\) | |||||||
\(660\) | 4.72859 | − | 7.25636i | 0.184060 | − | 0.282453i | ||||
\(661\) | −14.8571 | − | 32.5326i | −0.577875 | − | 1.26537i | −0.942497 | − | 0.334214i | \(-0.891529\pi\) |
0.364622 | − | 0.931156i | \(-0.381198\pi\) | |||||||
\(662\) | −6.57628 | − | 22.3968i | −0.255595 | − | 0.870475i | ||||
\(663\) | −59.0985 | − | 26.9894i | −2.29520 | − | 1.04818i | ||||
\(664\) | −0.415802 | + | 2.89197i | −0.0161363 | + | 0.112230i | ||||
\(665\) | −2.84843 | − | 2.49994i | −0.110457 | − | 0.0969436i | ||||
\(666\) | −21.0894 | −0.817198 | ||||||||
\(667\) | 26.8391 | + | 11.6243i | 1.03922 | + | 0.450094i | ||||
\(668\) | 15.4565i | 0.598030i | ||||||||
\(669\) | 11.9859 | − | 7.70287i | 0.463402 | − | 0.297810i | ||||
\(670\) | 0.997127 | + | 7.26141i | 0.0385224 | + | 0.280533i | ||||
\(671\) | −8.94268 | + | 19.5817i | −0.345228 | + | 0.755944i | ||||
\(672\) | 1.76336 | + | 6.00546i | 0.0680232 | + | 0.231666i | ||||
\(673\) | −8.30660 | + | 3.79350i | −0.320196 | + | 0.146229i | −0.569028 | − | 0.822318i | \(-0.692680\pi\) |
0.248832 | + | 0.968547i | \(0.419953\pi\) | |||||||
\(674\) | −6.96677 | − | 8.04008i | −0.268350 | − | 0.309692i | ||||
\(675\) | −7.05159 | + | 5.95551i | −0.271416 | + | 0.229228i | ||||
\(676\) | −3.30922 | − | 0.971675i | −0.127278 | − | 0.0373721i | ||||
\(677\) | 10.2257 | + | 8.86062i | 0.393006 | + | 0.340541i | 0.828840 | − | 0.559485i | \(-0.189001\pi\) |
−0.435834 | + | 0.900027i | \(0.643547\pi\) | |||||||
\(678\) | −26.6195 | + | 41.4207i | −1.02231 | + | 1.59075i | ||||
\(679\) | 24.1103 | + | 15.4948i | 0.925270 | + | 0.594635i | ||||
\(680\) | −5.82292 | + | 12.5396i | −0.223299 | + | 0.480872i | ||||
\(681\) | −5.29810 | − | 1.55566i | −0.203024 | − | 0.0596131i | ||||
\(682\) | 6.75740 | − | 0.971568i | 0.258754 | − | 0.0372033i | ||||
\(683\) | −0.226706 | + | 0.196442i | −0.00867466 | + | 0.00751664i | −0.659187 | − | 0.751979i | \(-0.729100\pi\) |
0.650513 | + | 0.759495i | \(0.274554\pi\) | |||||||
\(684\) | 1.08200 | + | 2.36926i | 0.0413714 | + | 0.0905908i | ||||
\(685\) | −20.2467 | − | 31.9476i | −0.773586 | − | 1.22066i | ||||
\(686\) | −8.19296 | + | 17.9401i | −0.312809 | + | 0.684955i | ||||
\(687\) | 47.8813 | + | 6.88429i | 1.82678 | + | 0.262652i | ||||
\(688\) | 2.72832 | + | 4.24535i | 0.104016 | + | 0.161852i | ||||
\(689\) | 21.5585 | 0.821314 | ||||||||
\(690\) | 27.4458 | − | 4.32070i | 1.04484 | − | 0.164486i | ||||
\(691\) | 0.587233 | 0.0223394 | 0.0111697 | − | 0.999938i | \(-0.496445\pi\) | ||||
0.0111697 | + | 0.999938i | \(0.496445\pi\) | |||||||
\(692\) | −7.00534 | − | 10.9005i | −0.266303 | − | 0.414375i | ||||
\(693\) | 13.2718 | + | 1.90820i | 0.504156 | + | 0.0724866i | ||||
\(694\) | −5.39856 | + | 11.8212i | −0.204927 | + | 0.448727i | ||||
\(695\) | 33.8779 | − | 21.4700i | 1.28506 | − | 0.814402i | ||||
\(696\) | −6.56389 | − | 14.3729i | −0.248804 | − | 0.544804i | ||||
\(697\) | −23.8177 | + | 20.6381i | −0.902159 | + | 0.781725i | ||||
\(698\) | 6.41553 | − | 0.922415i | 0.242832 | − | 0.0349139i | ||||
\(699\) | 30.3800 | + | 8.92037i | 1.14908 | + | 0.337399i | ||||
\(700\) | 11.9334 | + | 1.87035i | 0.451038 | + | 0.0706927i | ||||
\(701\) | 38.7268 | + | 24.8882i | 1.46269 | + | 0.940016i | 0.998526 | + | 0.0542674i | \(0.0172823\pi\) |
0.464166 | + | 0.885748i | \(0.346354\pi\) | |||||||
\(702\) | 4.04771 | − | 6.29836i | 0.152771 | − | 0.237716i | ||||
\(703\) | 3.01199 | + | 2.60991i | 0.113600 | + | 0.0984345i | ||||
\(704\) | 1.43445 | + | 0.421194i | 0.0540630 | + | 0.0158743i | ||||
\(705\) | 10.7364 | + | 23.9090i | 0.404355 | + | 0.900465i | ||||
\(706\) | 11.7763 | + | 13.5906i | 0.443207 | + | 0.511488i | ||||
\(707\) | −42.0526 | + | 19.2048i | −1.58155 | + | 0.722270i | ||||
\(708\) | 10.7527 | + | 36.6205i | 0.404113 | + | 1.37628i | ||||
\(709\) | 20.8063 | − | 45.5594i | 0.781396 | − | 1.71102i | 0.0816110 | − | 0.996664i | \(-0.473993\pi\) |
0.699785 | − | 0.714354i | \(-0.253279\pi\) | |||||||
\(710\) | 25.0489 | − | 3.43968i | 0.940068 | − | 0.129089i | ||||
\(711\) | 7.34824 | − | 4.72243i | 0.275581 | − | 0.177105i | ||||
\(712\) | − | 3.62104i | − | 0.135704i | ||||||
\(713\) | 16.8299 | + | 14.0129i | 0.630283 | + | 0.524788i | ||||
\(714\) | −38.6994 | −1.44829 | ||||||||
\(715\) | 10.1901 | + | 8.94339i | 0.381087 | + | 0.334464i | ||||
\(716\) | 1.57979 | − | 10.9877i | 0.0590394 | − | 0.410628i | ||||
\(717\) | 1.66215 | + | 0.759078i | 0.0620741 | + | 0.0283483i | ||||
\(718\) | −5.99571 | − | 20.4195i | −0.223758 | − | 0.762049i | ||||
\(719\) | 12.7313 | + | 27.8776i | 0.474797 | + | 1.03966i | 0.983862 | + | 0.178931i | \(0.0572640\pi\) |
−0.509065 | + | 0.860728i | \(0.670009\pi\) | |||||||
\(720\) | −6.95503 | − | 4.53223i | −0.259199 | − | 0.168906i | ||||
\(721\) | 1.70904 | + | 11.8866i | 0.0636479 | + | 0.442681i | ||||
\(722\) | −5.21424 | + | 17.7581i | −0.194054 | + | 0.660888i | ||||
\(723\) | −16.7048 | − | 14.4748i | −0.621260 | − | 0.538325i | ||||
\(724\) | 4.23644 | + | 2.72259i | 0.157446 | + | 0.101184i | ||||
\(725\) | −30.4910 | − | 0.386306i | −1.13241 | − | 0.0143470i | ||||
\(726\) | −14.8710 | + | 17.1620i | −0.551915 | + | 0.636943i | ||||
\(727\) | 2.77362 | − | 9.44608i | 0.102868 | − | 0.350336i | −0.891934 | − | 0.452166i | \(-0.850652\pi\) |
0.994802 | + | 0.101830i | \(0.0324698\pi\) | |||||||
\(728\) | −9.69813 | + | 1.39438i | −0.359437 | + | 0.0516792i | ||||
\(729\) | −24.8457 | − | 28.6735i | −0.920211 | − | 1.06198i | ||||
\(730\) | −4.87699 | − | 5.70092i | −0.180506 | − | 0.211001i | ||||
\(731\) | −29.9384 | + | 8.79070i | −1.10731 | + | 0.325136i | ||||
\(732\) | 33.9351 | + | 15.4976i | 1.25428 | + | 0.572809i | ||||
\(733\) | 29.2600 | + | 4.20696i | 1.08074 | + | 0.155388i | 0.659608 | − | 0.751610i | \(-0.270722\pi\) |
0.421136 | + | 0.906997i | \(0.361631\pi\) | |||||||
\(734\) | 10.7088 | − | 6.88213i | 0.395269 | − | 0.254024i | ||||
\(735\) | −1.85862 | − | 6.48148i | −0.0685562 | − | 0.239073i | ||||
\(736\) | 2.07772 | + | 4.32239i | 0.0765859 | + | 0.159325i | ||||
\(737\) | 4.90046i | 0.180511i | ||||||||
\(738\) | −10.2305 | − | 15.9190i | −0.376591 | − | 0.585986i | ||||
\(739\) | 2.37446 | − | 16.5148i | 0.0873460 | − | 0.607505i | −0.898389 | − | 0.439201i | \(-0.855262\pi\) |
0.985735 | − | 0.168304i | \(-0.0538292\pi\) | |||||||
\(740\) | −12.5613 | − | 1.88733i | −0.461763 | − | 0.0693797i | ||||
\(741\) | −7.07346 | + | 2.07696i | −0.259850 | + | 0.0762989i | ||||
\(742\) | 11.6810 | − | 5.33451i | 0.428821 | − | 0.195836i | ||||
\(743\) | 2.29186 | − | 1.98591i | 0.0840803 | − | 0.0728560i | −0.611807 | − | 0.791007i | \(-0.709557\pi\) |
0.695887 | + | 0.718151i | \(0.255011\pi\) | |||||||
\(744\) | −1.68372 | − | 11.7106i | −0.0617283 | − | 0.429330i | ||||
\(745\) | −35.4799 | − | 0.224748i | −1.29988 | − | 0.00823411i | ||||
\(746\) | −14.9887 | + | 17.2979i | −0.548776 | + | 0.633321i | ||||
\(747\) | 5.86425 | − | 9.12496i | 0.214562 | − | 0.333865i | ||||
\(748\) | −4.99751 | + | 7.77627i | −0.182727 | + | 0.284329i | ||||
\(749\) | −27.7275 | + | 31.9993i | −1.01314 | + | 1.16923i | ||||
\(750\) | −24.6614 | + | 15.1946i | −0.900508 | + | 0.554830i | ||||
\(751\) | 5.44047 | + | 37.8393i | 0.198526 | + | 1.38078i | 0.808566 | + | 0.588406i | \(0.200244\pi\) |
−0.610040 | + | 0.792371i | \(0.708847\pi\) | |||||||
\(752\) | −3.41901 | + | 2.96259i | −0.124678 | + | 0.108035i | ||||
\(753\) | −59.5033 | + | 27.1743i | −2.16842 | + | 0.990285i | ||||
\(754\) | 23.7327 | − | 6.96855i | 0.864294 | − | 0.253780i | ||||
\(755\) | 3.58377 | − | 23.8521i | 0.130427 | − | 0.868068i | ||||
\(756\) | 0.634665 | − | 4.41419i | 0.0230825 | − | 0.160543i | ||||
\(757\) | −4.34433 | − | 6.75990i | −0.157897 | − | 0.245693i | 0.753287 | − | 0.657692i | \(-0.228467\pi\) |
−0.911184 | + | 0.411999i | \(0.864831\pi\) | |||||||
\(758\) | − | 20.5362i | − | 0.745909i | ||||||
\(759\) | 18.5724 | − | 0.365552i | 0.674134 | − | 0.0132687i | ||||
\(760\) | 0.432435 | + | 1.50801i | 0.0156861 | + | 0.0547013i | ||||
\(761\) | 36.9682 | − | 23.7580i | 1.34010 | − | 0.861228i | 0.343147 | − | 0.939282i | \(-0.388507\pi\) |
0.996949 | + | 0.0780539i | \(0.0248706\pi\) | |||||||
\(762\) | 34.0727 | + | 4.89892i | 1.23432 | + | 0.177469i | ||||
\(763\) | 32.8619 | + | 15.0075i | 1.18968 | + | 0.543309i | ||||
\(764\) | −7.11629 | + | 2.08953i | −0.257458 | + | 0.0755966i | ||||
\(765\) | 39.0031 | − | 33.3661i | 1.41016 | − | 1.20636i | ||||
\(766\) | 7.03369 | + | 8.11732i | 0.254138 | + | 0.293291i | ||||
\(767\) | −59.1378 | + | 8.50274i | −2.13534 | + | 0.307016i | ||||
\(768\) | 0.729927 | − | 2.48590i | 0.0263390 | − | 0.0897023i | ||||
\(769\) | 10.6393 | − | 12.2784i | 0.383663 | − | 0.442771i | −0.530765 | − | 0.847519i | \(-0.678095\pi\) |
0.914428 | + | 0.404748i | \(0.132641\pi\) | |||||||
\(770\) | 7.73422 | + | 2.32429i | 0.278722 | + | 0.0837615i | ||||
\(771\) | −12.2630 | − | 7.88097i | −0.441642 | − | 0.283826i | ||||
\(772\) | −10.1788 | − | 8.81998i | −0.366343 | − | 0.317438i | ||||
\(773\) | 10.0254 | − | 34.1434i | 0.360589 | − | 1.22805i | −0.556997 | − | 0.830515i | \(-0.688046\pi\) |
0.917586 | − | 0.397538i | \(-0.130135\pi\) | |||||||
\(774\) | −2.66627 | − | 18.5443i | −0.0958371 | − | 0.666562i | ||||
\(775\) | −21.8241 | − | 6.70960i | −0.783945 | − | 0.241016i | ||||
\(776\) | −4.92829 | − | 10.7915i | −0.176915 | − | 0.387391i | ||||
\(777\) | −10.0170 | − | 34.1149i | −0.359359 | − | 1.22386i | ||||
\(778\) | −12.5590 | − | 5.73550i | −0.450262 | − | 0.205628i | ||||
\(779\) | −0.508921 | + | 3.53963i | −0.0182340 | + | 0.126820i | ||||
\(780\) | 15.4989 | − | 17.6594i | 0.554948 | − | 0.632307i | ||||
\(781\) | 16.9046 | 0.604894 | ||||||||
\(782\) | −29.2621 | + | 4.79679i | −1.04641 | + | 0.171533i | ||||
\(783\) | 11.2582i | 0.402335i | ||||||||
\(784\) | 0.979114 | − | 0.629238i | 0.0349684 | − | 0.0224728i | ||||
\(785\) | 6.78581 | − | 0.931819i | 0.242196 | − | 0.0332581i | ||||
\(786\) | 14.9790 | − | 32.7994i | 0.534282 | − | 1.16991i | ||||
\(787\) | −13.2613 | − | 45.1638i | −0.472714 | − | 1.60992i | −0.758534 | − | 0.651633i | \(-0.774084\pi\) |
0.285820 | − | 0.958283i | \(-0.407734\pi\) | |||||||
\(788\) | −1.36686 | + | 0.624222i | −0.0486922 | + | 0.0222370i | ||||
\(789\) | 37.9233 | + | 43.7659i | 1.35011 | + | 1.55811i | ||||
\(790\) | 4.79939 | − | 2.15517i | 0.170754 | − | 0.0766775i | ||||
\(791\) | −44.0506 | − | 12.9344i | −1.56626 | − | 0.459896i | ||||
\(792\) | −4.19460 | − | 3.63464i | −0.149048 | − | 0.129151i | ||||
\(793\) | −31.5732 | + | 49.1288i | −1.12120 | + | 1.74462i | ||||
\(794\) | −26.6878 | − | 17.1512i | −0.947114 | − | 0.608673i | ||||
\(795\) | −12.9698 | + | 27.9304i | −0.459992 | + | 0.990588i | ||||
\(796\) | −1.16053 | − | 0.340763i | −0.0411340 | − | 0.0120780i | ||||
\(797\) | −33.9932 | + | 4.88748i | −1.20410 | + | 0.173124i | −0.715013 | − | 0.699111i | \(-0.753579\pi\) |
−0.489088 | + | 0.872235i | \(0.662670\pi\) | |||||||
\(798\) | −3.31865 | + | 2.87563i | −0.117479 | + | 0.101796i | ||||
\(799\) | −11.6200 | − | 25.4442i | −0.411085 | − | 0.900150i | ||||
\(800\) | −3.73696 | − | 3.32191i | −0.132122 | − | 0.117447i | ||||
\(801\) | −5.58449 | + | 12.2283i | −0.197318 | + | 0.432067i | ||||
\(802\) | −12.6278 | − | 1.81560i | −0.445903 | − | 0.0641111i | ||||
\(803\) | −2.71186 | − | 4.21974i | −0.0956994 | − | 0.148911i | ||||
\(804\) | 8.49248 | 0.299507 | ||||||||
\(805\) | 11.0755 | + | 23.4198i | 0.390361 | + | 0.825439i | ||||
\(806\) | 18.5203 | 0.652348 | ||||||||
\(807\) | 2.70068 | + | 4.20234i | 0.0950685 | + | 0.147929i | ||||
\(808\) | 18.9418 | + | 2.72342i | 0.666370 | + | 0.0958096i | ||||
\(809\) | 4.28637 | − | 9.38585i | 0.150701 | − | 0.329989i | −0.819193 | − | 0.573519i | \(-0.805578\pi\) |
0.969893 | + | 0.243530i | \(0.0783053\pi\) | |||||||
\(810\) | −7.60652 | − | 12.0025i | −0.267266 | − | 0.421723i | ||||
\(811\) | −2.70172 | − | 5.91594i | −0.0948703 | − | 0.207737i | 0.856247 | − | 0.516566i | \(-0.172790\pi\) |
−0.951117 | + | 0.308829i | \(0.900063\pi\) | |||||||
\(812\) | 11.1347 | − | 9.64824i | 0.390750 | − | 0.338587i | ||||
\(813\) | 2.94109 | − | 0.422865i | 0.103148 | − | 0.0148305i | ||||
\(814\) | −8.14861 | − | 2.39265i | −0.285609 | − | 0.0838623i | ||||
\(815\) | 5.97309 | + | 2.77368i | 0.209228 | + | 0.0971577i | ||||
\(816\) | 13.4763 | + | 8.66066i | 0.471763 | + | 0.303184i | ||||
\(817\) | −1.91414 | + | 2.97847i | −0.0669674 | + | 0.104203i | ||||
\(818\) | −8.48595 | − | 7.35312i | −0.296704 | − | 0.257096i | ||||
\(819\) | 34.9012 | + | 10.2479i | 1.21955 | + | 0.358091i | ||||
\(820\) | −4.66889 | − | 10.3972i | −0.163045 | − | 0.363087i | ||||
\(821\) | −24.1404 | − | 27.8595i | −0.842504 | − | 0.972302i | 0.157380 | − | 0.987538i | \(-0.449695\pi\) |
−0.999884 | + | 0.0152365i | \(0.995150\pi\) | |||||||
\(822\) | −39.8638 | + | 18.2052i | −1.39041 | + | 0.634979i | ||||
\(823\) | 1.55967 | + | 5.31173i | 0.0543665 | + | 0.185155i | 0.982200 | − | 0.187840i | \(-0.0601488\pi\) |
−0.927833 | + | 0.372996i | \(0.878331\pi\) | |||||||
\(824\) | 2.06501 | − | 4.52174i | 0.0719379 | − | 0.157522i | ||||
\(825\) | −17.7171 | + | 7.82142i | −0.616832 | + | 0.272307i | ||||
\(826\) | −29.9384 | + | 19.2403i | −1.04169 | + | 0.669454i | ||||
\(827\) | 34.5351i | 1.20090i | 0.799661 | + | 0.600452i | \(0.205013\pi\) | ||||
−0.799661 | + | 0.600452i | \(0.794987\pi\) | |||||||
\(828\) | −0.350372 | − | 17.8011i | −0.0121763 | − | 0.618631i | ||||
\(829\) | 44.1739 | 1.53422 | 0.767112 | − | 0.641514i | \(-0.221693\pi\) | ||||
0.767112 | + | 0.641514i | \(0.221693\pi\) | |||||||
\(830\) | 4.30948 | − | 4.91021i | 0.149584 | − | 0.170436i | ||||
\(831\) | −5.72881 | + | 39.8448i | −0.198730 | + | 1.38220i | ||||
\(832\) | 3.68922 | + | 1.68481i | 0.127901 | + | 0.0584103i | ||||
\(833\) | 2.02742 | + | 6.90475i | 0.0702459 | + | 0.239235i | ||||
\(834\) | −19.3051 | − | 42.2724i | −0.668482 | − | 1.46377i | ||||
\(835\) | 18.8693 | − | 28.9563i | 0.653000 | − | 1.00207i | ||||
\(836\) | 0.149271 | + | 1.03820i | 0.00516263 | + | 0.0359069i | ||||
\(837\) | −2.37491 | + | 8.08820i | −0.0820889 | + | 0.279569i | ||||
\(838\) | 9.40050 | + | 8.14558i | 0.324735 | + | 0.281384i | ||||
\(839\) | −28.4148 | − | 18.2611i | −0.980988 | − | 0.630443i | −0.0512585 | − | 0.998685i | \(-0.516323\pi\) |
−0.929730 | + | 0.368243i | \(0.879960\pi\) | |||||||
\(840\) | 4.02798 | − | 13.4034i | 0.138979 | − | 0.462460i | ||||
\(841\) | −5.36596 | + | 6.19265i | −0.185033 | + | 0.213540i | ||||
\(842\) | 2.48004 | − | 8.44625i | 0.0854679 | − | 0.291077i | ||||
\(843\) | 9.92710 | − | 1.42730i | 0.341907 | − | 0.0491589i | ||||
\(844\) | −3.54218 | − | 4.08790i | −0.121927 | − | 0.140711i | ||||
\(845\) | 5.01329 | + | 5.86024i | 0.172462 | + | 0.201598i | ||||
\(846\) | 16.1151 | − | 4.73181i | 0.554047 | − | 0.162683i | ||||
\(847\) | −19.2609 | − | 8.79616i | −0.661813 | − | 0.302240i | ||||
\(848\) | −5.26147 | − | 0.756485i | −0.180680 | − | 0.0259778i | ||||
\(849\) | −45.6707 | + | 29.3508i | −1.56741 | + | 1.00732i | ||||
\(850\) | 26.2170 | − | 16.3831i | 0.899237 | − | 0.561936i | ||||
\(851\) | −11.8028 | − | 24.5539i | −0.404594 | − | 0.841699i | ||||
\(852\) | − | 29.2956i | − | 1.00365i | ||||||
\(853\) | −2.39038 | − | 3.71950i | −0.0818450 | − | 0.127353i | 0.797918 | − | 0.602767i | \(-0.205935\pi\) |
−0.879763 | + | 0.475413i | \(0.842299\pi\) | |||||||
\(854\) | −4.95055 | + | 34.4318i | −0.169404 | + | 1.17823i | ||||
\(855\) | 0.865361 | − | 5.75949i | 0.0295947 | − | 0.196970i | ||||
\(856\) | 16.8167 | − | 4.93784i | 0.574784 | − | 0.168772i | ||||
\(857\) | 53.1672 | − | 24.2807i | 1.81616 | − | 0.829411i | 0.883813 | − | 0.467841i | \(-0.154968\pi\) |
0.932345 | − | 0.361571i | \(-0.117759\pi\) | |||||||
\(858\) | 11.8723 | − | 10.2874i | 0.405313 | − | 0.351205i | ||||
\(859\) | 5.70704 | + | 39.6933i | 0.194722 | + | 1.35432i | 0.819304 | + | 0.573360i | \(0.194360\pi\) |
−0.624582 | + | 0.780959i | \(0.714731\pi\) | |||||||
\(860\) | 0.0714785 | − | 11.2840i | 0.00243740 | − | 0.384781i | ||||
\(861\) | 20.8918 | − | 24.1104i | 0.711989 | − | 0.821680i | ||||
\(862\) | −14.9465 | + | 23.2571i | −0.509078 | + | 0.792141i | ||||
\(863\) | 14.6706 | − | 22.8279i | 0.499392 | − | 0.777070i | −0.496459 | − | 0.868060i | \(-0.665367\pi\) |
0.995852 | + | 0.0909901i | \(0.0290032\pi\) | |||||||
\(864\) | −1.20887 | + | 1.39511i | −0.0411267 | + | 0.0474628i | ||||
\(865\) | −0.183531 | + | 28.9732i | −0.00624023 | + | 0.985118i | ||||
\(866\) | 1.48018 | + | 10.2949i | 0.0502985 | + | 0.349834i | ||||
\(867\) | −41.5683 | + | 36.0191i | −1.41173 | + | 1.22327i | ||||
\(868\) | 10.0347 | − | 4.58271i | 0.340601 | − | 0.155547i | ||||
\(869\) | 3.37502 | − | 0.990994i | 0.114490 | − | 0.0336172i | ||||
\(870\) | −5.24965 | + | 34.9395i | −0.177980 | + | 1.18456i | ||||
\(871\) | −1.89196 | + | 13.1588i | −0.0641065 | + | 0.445871i | ||||
\(872\) | −8.08487 | − | 12.5803i | −0.273788 | − | 0.426023i | ||||
\(873\) | 44.0435i | 1.49065i | ||||||||
\(874\) | −2.15293 | + | 2.58572i | −0.0728238 | + | 0.0874632i | ||||
\(875\) | −20.0727 | − | 18.0722i | −0.678580 | − | 0.610951i | ||||
\(876\) | −7.31279 | + | 4.69964i | −0.247076 | + | 0.158786i | ||||
\(877\) | −10.3992 | − | 1.49519i | −0.351157 | − | 0.0504888i | −0.0355208 | − | 0.999369i | \(-0.511309\pi\) |
−0.315637 | + | 0.948880i | \(0.602218\pi\) | |||||||
\(878\) | 8.83772 | + | 4.03605i | 0.298259 | + | 0.136210i | ||||
\(879\) | −14.8387 | + | 4.35703i | −0.500496 | + | 0.146959i | ||||
\(880\) | −2.17312 | − | 2.54025i | −0.0732558 | − | 0.0856318i | ||||
\(881\) | −6.23389 | − | 7.19429i | −0.210025 | − | 0.242382i | 0.640957 | − | 0.767577i | \(-0.278538\pi\) |
−0.850982 | + | 0.525195i | \(0.823992\pi\) | |||||||
\(882\) | −4.27692 | + | 0.614928i | −0.144011 | + | 0.0207057i | ||||
\(883\) | 7.52758 | − | 25.6366i | 0.253323 | − | 0.862739i | −0.730396 | − | 0.683024i | \(-0.760664\pi\) |
0.983719 | − | 0.179715i | \(-0.0575175\pi\) | |||||||
\(884\) | −16.4217 | + | 18.9516i | −0.552321 | + | 0.637412i | ||||
\(885\) | 24.5621 | − | 81.7319i | 0.825645 | − | 2.74739i | ||||
\(886\) | 8.00049 | + | 5.14160i | 0.268782 | + | 0.172735i | ||||
\(887\) | 14.6556 | + | 12.6992i | 0.492088 | + | 0.426396i | 0.865228 | − | 0.501379i | \(-0.167174\pi\) |
−0.373140 | + | 0.927775i | \(0.621719\pi\) | |||||||
\(888\) | −4.14645 | + | 14.1215i | −0.139146 | + | 0.473887i | ||||
\(889\) | 4.56794 | + | 31.7707i | 0.153204 | + | 1.06556i | ||||
\(890\) | −4.42057 | + | 6.78368i | −0.148178 | + | 0.227390i | ||||
\(891\) | −3.94666 | − | 8.64198i | −0.132218 | − | 0.289517i | ||||
\(892\) | −1.54931 | − | 5.27647i | −0.0518747 | − | 0.176669i | ||||
\(893\) | −2.88714 | − | 1.31851i | −0.0966143 | − | 0.0441223i | ||||
\(894\) | −5.85058 | + | 40.6917i | −0.195673 | + | 1.36093i | ||||
\(895\) | −16.3733 | + | 18.6557i | −0.547300 | + | 0.623592i | ||||
\(896\) | 2.41581 | 0.0807065 | ||||||||
\(897\) | 50.0121 | + | 6.18877i | 1.66986 | + | 0.206637i | ||||
\(898\) | 15.9870i | 0.533494i | ||||||||
\(899\) | −23.4284 | + | 15.0565i | −0.781380 | + | 0.502162i | ||||
\(900\) | 7.49663 | + | 16.9814i | 0.249888 | + | 0.566047i | ||||
\(901\) | 13.6531 | − | 29.8962i | 0.454852 | − | 0.995986i | ||||
\(902\) | −2.14686 | − | 7.31153i | −0.0714826 | − | 0.243447i | ||||
\(903\) | 28.7314 | − | 13.1212i | 0.956122 | − | 0.436646i | ||||
\(904\) | 12.4451 | + | 14.3624i | 0.413917 | + | 0.477685i | ||||
\(905\) | −4.61282 | − | 10.2724i | −0.153335 | − | 0.341465i | ||||
\(906\) | −26.8147 | − | 7.87352i | −0.890860 | − | 0.261580i | ||||
\(907\) | 21.5552 | + | 18.6777i | 0.715728 | + | 0.620182i | 0.934654 | − | 0.355559i | \(-0.115710\pi\) |
−0.218925 | + | 0.975742i | \(0.570255\pi\) | |||||||
\(908\) | −1.15224 | + | 1.79293i | −0.0382386 | + | 0.0595004i | ||||
\(909\) | −59.7666 | − | 38.4097i | −1.98233 | − | 1.27397i | ||||
\(910\) | 19.8708 | + | 9.22725i | 0.658710 | + | 0.305880i | ||||
\(911\) | −33.3300 | − | 9.78657i | −1.10427 | − | 0.324244i | −0.321724 | − | 0.946834i | \(-0.604262\pi\) |
−0.782548 | + | 0.622590i | \(0.786080\pi\) | |||||||
\(912\) | 1.79920 | − | 0.258685i | 0.0595773 | − | 0.00856592i | ||||
\(913\) | 3.30110 | − | 2.86042i | 0.109251 | − | 0.0946662i | ||||
\(914\) | −0.0281476 | − | 0.0616347i | −0.000931041 | − | 0.00203870i | ||||
\(915\) | −44.6546 | − | 70.4613i | −1.47624 | − | 2.32938i | ||||
\(916\) | 7.75619 | − | 16.9837i | 0.256272 | − | 0.561157i | ||||
\(917\) | 33.2795 | + | 4.78487i | 1.09899 | + | 0.158010i | ||||
\(918\) | −6.17079 | − | 9.60193i | −0.203666 | − | 0.316911i | ||||
\(919\) | −13.5686 | −0.447586 | −0.223793 | − | 0.974637i | \(-0.571844\pi\) | ||||
−0.223793 | + | 0.974637i | \(0.571844\pi\) | |||||||
\(920\) | 1.38437 | − | 10.6341i | 0.0456412 | − | 0.350595i | ||||
\(921\) | 35.6406 | 1.17440 | ||||||||
\(922\) | −5.55230 | − | 8.63955i | −0.182855 | − | 0.284528i | ||||
\(923\) | 45.3926 | + | 6.52648i | 1.49412 | + | 0.214822i | ||||
\(924\) | 3.88715 | − | 8.51168i | 0.127878 | − | 0.280014i | ||||
\(925\) | 21.2283 | + | 18.8706i | 0.697984 | + | 0.620461i | ||||
\(926\) | 13.2035 | + | 28.9115i | 0.433892 | + | 0.950092i | ||||
\(927\) | −13.9471 | + | 12.0853i | −0.458084 | + | 0.396932i | ||||
\(928\) | −6.03662 | + | 0.867934i | −0.198162 | + | 0.0284913i | ||||
\(929\) | −17.5627 | − | 5.15687i | −0.576213 | − | 0.169192i | −0.0193749 | − | 0.999812i | \(-0.506168\pi\) |
−0.556839 | + | 0.830621i | \(0.687986\pi\) | |||||||
\(930\) | −11.1420 | + | 23.9941i | −0.365359 | + | 0.786798i | ||||
\(931\) | 0.686930 | + | 0.441463i | 0.0225132 | + | 0.0144684i | ||||
\(932\) | 6.60712 | − | 10.2809i | 0.216423 | − | 0.336761i | ||||
\(933\) | −55.1223 | − | 47.7638i | −1.80462 | − | 1.56372i | ||||
\(934\) | −3.81489 | − | 1.12015i | −0.124827 | − | 0.0366525i | ||||
\(935\) | 18.8556 | − | 8.46715i | 0.616645 | − | 0.276905i | ||||
\(936\) | −9.86019 | − | 11.3793i | −0.322290 | − | 0.371943i | ||||
\(937\) | 15.8248 | − | 7.22695i | 0.516974 | − | 0.236094i | −0.139803 | − | 0.990179i | \(-0.544647\pi\) |
0.656776 | + | 0.754085i | \(0.271920\pi\) | |||||||
\(938\) | 2.23096 | + | 7.59795i | 0.0728434 | + | 0.248082i | ||||
\(939\) | −3.10664 | + | 6.80260i | −0.101382 | + | 0.221995i | ||||
\(940\) | 10.0219 | − | 1.37620i | 0.326879 | − | 0.0448866i | ||||
\(941\) | −0.870322 | + | 0.559322i | −0.0283717 | + | 0.0182334i | −0.554750 | − | 0.832017i | \(-0.687186\pi\) |
0.526378 | + | 0.850251i | \(0.323550\pi\) | |||||||
\(942\) | − | 7.93626i | − | 0.258577i | ||||||
\(943\) | 12.8086 | − | 20.8203i | 0.417105 | − | 0.678003i | ||||
\(944\) | 14.7313 | 0.479461 | ||||||||
\(945\) | −6.57783 | + | 7.49477i | −0.213977 | + | 0.243805i | ||||
\(946\) | 1.07370 | − | 7.46772i | 0.0349089 | − | 0.242797i | ||||
\(947\) | −38.1652 | − | 17.4295i | −1.24020 | − | 0.566381i | −0.316172 | − | 0.948702i | \(-0.602398\pi\) |
−0.924030 | + | 0.382321i | \(0.875125\pi\) | |||||||
\(948\) | −1.71739 | − | 5.84889i | −0.0557782 | − | 0.189963i | ||||
\(949\) | −5.65281 | − | 12.3779i | −0.183498 | − | 0.401805i | ||||
\(950\) | 1.03085 | − | 3.35303i | 0.0334453 | − | 0.108787i | ||||
\(951\) | −6.22745 | − | 43.3128i | −0.201939 | − | 1.40452i | ||||
\(952\) | −4.20823 | + | 14.3319i | −0.136389 | + | 0.464500i | ||||
\(953\) | 17.6476 | + | 15.2917i | 0.571662 | + | 0.495348i | 0.892049 | − | 0.451939i | \(-0.149267\pi\) |
−0.320387 | + | 0.947287i | \(0.603813\pi\) | |||||||
\(954\) | 16.6014 | + | 10.6691i | 0.537490 | + | 0.345424i | ||||
\(955\) | 15.8826 | + | 4.77304i | 0.513949 | + | 0.154452i | ||||
\(956\) | 0.461860 | − | 0.533015i | 0.0149376 | − | 0.0172389i | ||||
\(957\) | −6.65520 | + | 22.6655i | −0.215132 | + | 0.732672i | ||||
\(958\) | −3.49458 | + | 0.502445i | −0.112905 | + | 0.0162332i | ||||
\(959\) | −26.7598 | − | 30.8824i | −0.864118 | − | 0.997245i | ||||
\(960\) | −4.40224 | + | 3.76601i | −0.142082 | + | 0.121547i | ||||
\(961\) | 9.73652 | − | 2.85890i | 0.314081 | − | 0.0922226i | ||||
\(962\) | −20.9571 | − | 9.57080i | −0.675685 | − | 0.308575i | ||||
\(963\) | −64.4056 | − | 9.26013i | −2.07544 | − | 0.298404i | ||||
\(964\) | −7.17710 | + | 4.61244i | −0.231159 | + | 0.148557i | ||||
\(965\) | 8.30157 | + | 28.9497i | 0.267237 | + | 0.931923i | ||||
\(966\) | 28.6292 | − | 9.02193i | 0.921129 | − | 0.290276i | ||||
\(967\) | 16.0285i | 0.515442i | 0.966219 | + | 0.257721i | \(0.0829716\pi\) | ||||
−0.966219 | + | 0.257721i | \(0.917028\pi\) | |||||||
\(968\) | 4.73868 | + | 7.37354i | 0.152307 | + | 0.236994i | ||||
\(969\) | −1.59945 | + | 11.1244i | −0.0513818 | + | 0.357368i | ||||
\(970\) | −3.94153 | + | 26.2332i | −0.126555 | + | 0.842298i | ||||
\(971\) | 21.5331 | − | 6.32268i | 0.691029 | − | 0.202904i | 0.0826826 | − | 0.996576i | \(-0.473651\pi\) |
0.608347 | + | 0.793671i | \(0.291833\pi\) | |||||||
\(972\) | −20.0141 | + | 9.14011i | −0.641951 | + | 0.293169i | ||||
\(973\) | 32.7483 | − | 28.3765i | 1.04986 | − | 0.909710i | ||||
\(974\) | 0.552358 | + | 3.84173i | 0.0176987 | + | 0.123097i | ||||
\(975\) | −50.5942 | + | 14.1621i | −1.62031 | + | 0.453550i | ||||
\(976\) | 9.42952 | − | 10.8822i | 0.301832 | − | 0.348332i | ||||
\(977\) | 8.22441 | − | 12.7974i | 0.263122 | − | 0.409426i | −0.684405 | − | 0.729102i | \(-0.739938\pi\) |
0.947527 | + | 0.319676i | \(0.103574\pi\) | |||||||
\(978\) | 4.12540 | − | 6.41925i | 0.131916 | − | 0.205265i | ||||
\(979\) | −3.54509 | + | 4.09126i | −0.113302 | + | 0.130757i | ||||
\(980\) | −2.60245 | − | 0.0164852i | −0.0831323 | − | 0.000526601i | ||||
\(981\) | 7.90100 | + | 54.9526i | 0.252259 | + | 1.75450i | ||||
\(982\) | 19.8706 | − | 17.2180i | 0.634096 | − | 0.549448i | ||||
\(983\) | −40.3851 | + | 18.4433i | −1.28809 | + | 0.588249i | −0.937403 | − | 0.348245i | \(-0.886778\pi\) |
−0.350682 | + | 0.936494i | \(0.614050\pi\) | |||||||
\(984\) | −12.6708 | + | 3.72050i | −0.403932 | + | 0.118605i | ||||
\(985\) | 3.32272 | + | 0.499238i | 0.105871 | + | 0.0159070i | ||||
\(986\) | 5.36645 | − | 37.3245i | 0.170902 | − | 1.18865i | ||||
\(987\) | 15.3086 | + | 23.8207i | 0.487279 | + | 0.758220i | ||||
\(988\) | 2.84543i | 0.0905252i | ||||||||
\(989\) | 20.0986 | − | 13.4827i | 0.639097 | − | 0.428725i | ||||
\(990\) | 3.42101 | + | 11.9299i | 0.108727 | + | 0.379157i | ||||
\(991\) | 30.3739 | − | 19.5201i | 0.964860 | − | 0.620078i | 0.0395211 | − | 0.999219i | \(-0.487417\pi\) |
0.925339 | + | 0.379141i | \(0.123780\pi\) | |||||||
\(992\) | −4.51997 | − | 0.649873i | −0.143509 | − | 0.0206335i | ||||
\(993\) | 55.0113 | + | 25.1228i | 1.74573 | + | 0.797248i | ||||
\(994\) | 26.2098 | − | 7.69589i | 0.831325 | − | 0.244099i | ||||
\(995\) | 1.75814 | + | 2.05517i | 0.0557369 | + | 0.0651532i | ||||
\(996\) | −4.95710 | − | 5.72080i | −0.157072 | − | 0.181271i | ||||
\(997\) | 27.8175 | − | 3.99955i | 0.880988 | − | 0.126667i | 0.313048 | − | 0.949737i | \(-0.398650\pi\) |
0.567939 | + | 0.823070i | \(0.307741\pi\) | |||||||
\(998\) | −5.01461 | + | 17.0782i | −0.158735 | + | 0.540600i | ||||
\(999\) | 6.86717 | − | 7.92514i | 0.217268 | − | 0.250740i |
(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 | 230.2.j.a.219.7 | yes | 120 | |
5.4 | even | 2 | inner | 230.2.j.a.219.6 | yes | 120 | |
23.2 | even | 11 | inner | 230.2.j.a.209.6 | ✓ | 120 | |
115.94 | even | 22 | inner | 230.2.j.a.209.7 | yes | 120 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
230.2.j.a.209.6 | ✓ | 120 | 23.2 | even | 11 | inner | |
230.2.j.a.209.7 | yes | 120 | 115.94 | even | 22 | inner | |
230.2.j.a.219.6 | yes | 120 | 5.4 | even | 2 | inner | |
230.2.j.a.219.7 | yes | 120 | 1.1 | even | 1 | trivial |