Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [225,2,Mod(16,225)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(225, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([20, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("225.16");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 225 = 3^{2} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 225.q (of order \(15\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.79663404548\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{15})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 121.18 | ||
Character | \(\chi\) | \(=\) | 225.121 |
Dual form | 225.2.q.a.106.18 |
$q$-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 \(\left(\mathbb{Z}/225\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{3}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.429627 | − | 0.0913200i | 0.303792 | − | 0.0645730i | −0.0534935 | − | 0.998568i | \(-0.517036\pi\) |
0.357286 | + | 0.933995i | \(0.383702\pi\) | |||||||
\(3\) | 0.335739 | − | 1.69920i | 0.193839 | − | 0.981033i | ||||
\(4\) | −1.65085 | + | 0.735006i | −0.825426 | + | 0.367503i | ||||
\(5\) | −1.76971 | − | 1.36679i | −0.791439 | − | 0.611248i | ||||
\(6\) | −0.0109284 | − | 0.760681i | −0.00446152 | − | 0.310547i | ||||
\(7\) | −0.888066 | − | 1.53818i | −0.335657 | − | 0.581376i | 0.647953 | − | 0.761680i | \(-0.275625\pi\) |
−0.983611 | + | 0.180304i | \(0.942292\pi\) | |||||||
\(8\) | −1.35281 | + | 0.982874i | −0.478290 | + | 0.347498i | ||||
\(9\) | −2.77456 | − | 1.14098i | −0.924853 | − | 0.380325i | ||||
\(10\) | −0.885131 | − | 0.425600i | −0.279903 | − | 0.134587i | ||||
\(11\) | 4.21184 | − | 0.895255i | 1.26992 | − | 0.269929i | 0.476808 | − | 0.879008i | \(-0.341794\pi\) |
0.793110 | + | 0.609078i | \(0.208460\pi\) | |||||||
\(12\) | 0.694667 | + | 3.05190i | 0.200533 | + | 0.881006i | ||||
\(13\) | −6.27541 | − | 1.33388i | −1.74049 | − | 0.369952i | −0.775316 | − | 0.631573i | \(-0.782409\pi\) |
−0.965171 | + | 0.261622i | \(0.915743\pi\) | |||||||
\(14\) | −0.522003 | − | 0.579743i | −0.139511 | − | 0.154943i | ||||
\(15\) | −2.91661 | + | 2.54821i | −0.753066 | + | 0.657945i | ||||
\(16\) | 1.92690 | − | 2.14004i | 0.481725 | − | 0.535010i | ||||
\(17\) | 0.162997 | − | 0.118424i | 0.0395325 | − | 0.0287220i | −0.567844 | − | 0.823137i | \(-0.692222\pi\) |
0.607376 | + | 0.794414i | \(0.292222\pi\) | |||||||
\(18\) | −1.29622 | − | 0.236821i | −0.305522 | − | 0.0558192i | ||||
\(19\) | 4.79916 | − | 3.48679i | 1.10100 | − | 0.799925i | 0.119779 | − | 0.992801i | \(-0.461781\pi\) |
0.981223 | + | 0.192875i | \(0.0617813\pi\) | |||||||
\(20\) | 3.92613 | + | 0.955619i | 0.877910 | + | 0.213683i | ||||
\(21\) | −2.91183 | + | 0.992576i | −0.635413 | + | 0.216598i | ||||
\(22\) | 1.72777 | − | 0.769251i | 0.368361 | − | 0.164005i | ||||
\(23\) | 1.83276 | + | 2.03549i | 0.382158 | + | 0.424429i | 0.903279 | − | 0.429054i | \(-0.141153\pi\) |
−0.521122 | + | 0.853483i | \(0.674486\pi\) | |||||||
\(24\) | 1.21591 | + | 2.62868i | 0.248196 | + | 0.536578i | ||||
\(25\) | 1.26376 | + | 4.83765i | 0.252753 | + | 0.967531i | ||||
\(26\) | −2.81790 | −0.552635 | ||||||||
\(27\) | −2.87027 | + | 4.33146i | −0.552384 | + | 0.833590i | ||||
\(28\) | 2.59663 | + | 1.88657i | 0.490718 | + | 0.356527i | ||||
\(29\) | 0.0773364 | − | 0.735807i | 0.0143610 | − | 0.136636i | −0.984992 | − | 0.172599i | \(-0.944783\pi\) |
0.999353 | + | 0.0359636i | \(0.0114500\pi\) | |||||||
\(30\) | −1.02035 | + | 1.36112i | −0.186290 | + | 0.248506i | ||||
\(31\) | −0.289472 | − | 2.75414i | −0.0519906 | − | 0.494658i | −0.989272 | − | 0.146084i | \(-0.953333\pi\) |
0.937281 | − | 0.348573i | \(-0.113334\pi\) | |||||||
\(32\) | 2.30458 | − | 3.99166i | 0.407397 | − | 0.705632i | ||||
\(33\) | −0.107137 | − | 7.45733i | −0.0186501 | − | 1.29815i | ||||
\(34\) | 0.0592133 | − | 0.0657630i | 0.0101550 | − | 0.0112783i | ||||
\(35\) | −0.530743 | + | 3.93593i | −0.0897120 | + | 0.665294i | ||||
\(36\) | 5.41901 | − | 0.155738i | 0.903168 | − | 0.0259563i | ||||
\(37\) | −1.36941 | − | 4.21461i | −0.225129 | − | 0.692877i | −0.998278 | − | 0.0586526i | \(-0.981320\pi\) |
0.773149 | − | 0.634224i | \(-0.218680\pi\) | |||||||
\(38\) | 1.74343 | − | 1.93628i | 0.282822 | − | 0.314106i | ||||
\(39\) | −4.37343 | + | 10.2153i | −0.700309 | + | 1.63576i | ||||
\(40\) | 3.73747 | + | 0.109604i | 0.590945 | + | 0.0173300i | ||||
\(41\) | 12.3006 | + | 2.61458i | 1.92103 | + | 0.408328i | 0.999814 | + | 0.0192831i | \(0.00613837\pi\) |
0.921219 | + | 0.389045i | \(0.127195\pi\) | |||||||
\(42\) | −1.16036 | + | 0.692345i | −0.179047 | + | 0.106831i | ||||
\(43\) | −3.91700 | − | 6.78444i | −0.597336 | − | 1.03462i | −0.993213 | − | 0.116313i | \(-0.962892\pi\) |
0.395876 | − | 0.918304i | \(-0.370441\pi\) | |||||||
\(44\) | −6.29511 | + | 4.57366i | −0.949023 | + | 0.689506i | ||||
\(45\) | 3.35070 | + | 5.81144i | 0.499492 | + | 0.866318i | ||||
\(46\) | 0.973285 | + | 0.707133i | 0.143503 | + | 0.104261i | ||||
\(47\) | −0.0518311 | + | 0.493140i | −0.00756034 | + | 0.0719318i | −0.997652 | − | 0.0684942i | \(-0.978181\pi\) |
0.990091 | + | 0.140426i | \(0.0448472\pi\) | |||||||
\(48\) | −2.98942 | − | 3.99268i | −0.431485 | − | 0.576294i | ||||
\(49\) | 1.92268 | − | 3.33017i | 0.274668 | − | 0.475739i | ||||
\(50\) | 0.984721 | + | 1.96298i | 0.139261 | + | 0.277607i | ||||
\(51\) | −0.146502 | − | 0.316724i | −0.0205143 | − | 0.0443502i | ||||
\(52\) | 11.3402 | − | 2.41043i | 1.57260 | − | 0.334267i | ||||
\(53\) | 5.99398 | + | 4.35488i | 0.823336 | + | 0.598189i | 0.917666 | − | 0.397352i | \(-0.130071\pi\) |
−0.0943302 | + | 0.995541i | \(0.530071\pi\) | |||||||
\(54\) | −0.837597 | + | 2.12302i | −0.113982 | + | 0.288907i | ||||
\(55\) | −8.67738 | − | 4.17236i | −1.17006 | − | 0.562602i | ||||
\(56\) | 2.71322 | + | 1.20800i | 0.362569 | + | 0.161426i | ||||
\(57\) | −4.31349 | − | 9.32538i | −0.571336 | − | 1.23518i | ||||
\(58\) | −0.0339681 | − | 0.323185i | −0.00446023 | − | 0.0424362i | ||||
\(59\) | −9.52123 | − | 2.02380i | −1.23956 | − | 0.263476i | −0.458931 | − | 0.888472i | \(-0.651767\pi\) |
−0.780628 | + | 0.624996i | \(0.785101\pi\) | |||||||
\(60\) | 2.94194 | − | 6.35044i | 0.379803 | − | 0.819839i | ||||
\(61\) | −9.51841 | + | 2.02320i | −1.21871 | + | 0.259044i | −0.771992 | − | 0.635632i | \(-0.780740\pi\) |
−0.446715 | + | 0.894676i | \(0.647406\pi\) | |||||||
\(62\) | −0.375873 | − | 1.15682i | −0.0477359 | − | 0.146916i | ||||
\(63\) | 0.708972 | + | 5.28102i | 0.0893220 | + | 0.665346i | ||||
\(64\) | −1.15416 | + | 3.55215i | −0.144270 | + | 0.444019i | ||||
\(65\) | 9.28254 | + | 10.9378i | 1.15136 | + | 1.35666i | ||||
\(66\) | −0.727032 | − | 3.19409i | −0.0894915 | − | 0.393165i | ||||
\(67\) | −0.0149037 | − | 0.141799i | −0.00182077 | − | 0.0173235i | 0.993574 | − | 0.113186i | \(-0.0361057\pi\) |
−0.995395 | + | 0.0958627i | \(0.969439\pi\) | |||||||
\(68\) | −0.182041 | + | 0.315304i | −0.0220757 | + | 0.0382362i | ||||
\(69\) | 4.07403 | − | 2.43084i | 0.490456 | − | 0.292638i | ||||
\(70\) | 0.131408 | + | 1.73945i | 0.0157062 | + | 0.207904i | ||||
\(71\) | 1.95406 | + | 1.41971i | 0.231905 | + | 0.168489i | 0.697669 | − | 0.716420i | \(-0.254221\pi\) |
−0.465764 | + | 0.884909i | \(0.654221\pi\) | |||||||
\(72\) | 4.87488 | − | 1.18352i | 0.574511 | − | 0.139479i | ||||
\(73\) | −0.860848 | + | 2.64942i | −0.100755 | + | 0.310091i | −0.988711 | − | 0.149837i | \(-0.952125\pi\) |
0.887956 | + | 0.459928i | \(0.152125\pi\) | |||||||
\(74\) | −0.973212 | − | 1.68565i | −0.113134 | − | 0.195953i | ||||
\(75\) | 8.64444 | − | 0.523199i | 0.998173 | − | 0.0604138i | ||||
\(76\) | −5.35988 | + | 9.28359i | −0.614821 | + | 1.06490i | ||||
\(77\) | −5.11745 | − | 5.68351i | −0.583188 | − | 0.647696i | ||||
\(78\) | −0.946077 | + | 4.78817i | −0.107122 | + | 0.542153i | ||||
\(79\) | −1.34516 | + | 12.7983i | −0.151342 | + | 1.43993i | 0.610425 | + | 0.792074i | \(0.290999\pi\) |
−0.761767 | + | 0.647851i | \(0.775668\pi\) | |||||||
\(80\) | −6.33505 | + | 1.15358i | −0.708280 | + | 0.128975i | ||||
\(81\) | 6.39635 | + | 6.33140i | 0.710706 | + | 0.703489i | ||||
\(82\) | 5.52343 | 0.609961 | ||||||||
\(83\) | 3.13799 | + | 1.39712i | 0.344439 | + | 0.153354i | 0.571663 | − | 0.820488i | \(-0.306298\pi\) |
−0.227224 | + | 0.973842i | \(0.572965\pi\) | |||||||
\(84\) | 4.07744 | − | 3.77881i | 0.444885 | − | 0.412302i | ||||
\(85\) | −0.450318 | − | 0.0132059i | −0.0488439 | − | 0.00143239i | ||||
\(86\) | −2.30240 | − | 2.55708i | −0.248274 | − | 0.275737i | ||||
\(87\) | −1.22432 | − | 0.378449i | −0.131261 | − | 0.0405740i | ||||
\(88\) | −4.81790 | + | 5.35082i | −0.513590 | + | 0.570399i | ||||
\(89\) | 3.29985 | − | 10.1559i | 0.349784 | − | 1.07652i | −0.609189 | − | 0.793025i | \(-0.708505\pi\) |
0.958973 | − | 0.283499i | \(-0.0914952\pi\) | |||||||
\(90\) | 1.97025 | + | 2.19076i | 0.207683 | + | 0.230927i | ||||
\(91\) | 3.52124 | + | 10.8373i | 0.369126 | + | 1.13605i | ||||
\(92\) | −4.52172 | − | 2.01320i | −0.471422 | − | 0.209890i | ||||
\(93\) | −4.77702 | − | 0.432802i | −0.495354 | − | 0.0448794i | ||||
\(94\) | 0.0227655 | + | 0.216599i | 0.00234808 | + | 0.0223405i | ||||
\(95\) | −13.2588 | − | 0.388827i | −1.36033 | − | 0.0398928i | ||||
\(96\) | −6.00888 | − | 5.25610i | −0.613279 | − | 0.536449i | ||||
\(97\) | 1.65739 | − | 15.7690i | 0.168283 | − | 1.60110i | −0.505936 | − | 0.862571i | \(-0.668853\pi\) |
0.674219 | − | 0.738531i | \(-0.264480\pi\) | |||||||
\(98\) | 0.521922 | − | 1.60631i | 0.0527221 | − | 0.162262i | ||||
\(99\) | −12.7075 | − | 2.32167i | −1.27715 | − | 0.233337i | ||||
\(100\) | −5.64199 | − | 7.05737i | −0.564199 | − | 0.705737i | ||||
\(101\) | −5.03293 | − | 8.71729i | −0.500795 | − | 0.867403i | −1.00000 | 0.000918779i | \(-0.999708\pi\) | |
0.499204 | − | 0.866484i | \(-0.333626\pi\) | |||||||
\(102\) | −0.0918642 | − | 0.122694i | −0.00909592 | − | 0.0121486i | ||||
\(103\) | 4.55818 | − | 2.02943i | 0.449131 | − | 0.199966i | −0.169691 | − | 0.985497i | \(-0.554277\pi\) |
0.618822 | + | 0.785531i | \(0.287610\pi\) | |||||||
\(104\) | 9.80048 | − | 4.36345i | 0.961016 | − | 0.427872i | ||||
\(105\) | 6.50974 | + | 2.22328i | 0.635286 | + | 0.216970i | ||||
\(106\) | 2.97286 | + | 1.32360i | 0.288750 | + | 0.128560i | ||||
\(107\) | −7.10081 | −0.686461 | −0.343230 | − | 0.939251i | \(-0.611521\pi\) | ||||
−0.343230 | + | 0.939251i | \(0.611521\pi\) | |||||||
\(108\) | 1.55474 | − | 9.26026i | 0.149605 | − | 0.891069i | ||||
\(109\) | 0.177831 | + | 0.547308i | 0.0170331 | + | 0.0524226i | 0.959212 | − | 0.282688i | \(-0.0912262\pi\) |
−0.942179 | + | 0.335111i | \(0.891226\pi\) | |||||||
\(110\) | −4.10905 | − | 1.00014i | −0.391783 | − | 0.0953598i | ||||
\(111\) | −7.62122 | + | 0.911891i | −0.723374 | + | 0.0865529i | ||||
\(112\) | −5.00297 | − | 1.06341i | −0.472736 | − | 0.100483i | ||||
\(113\) | 0.268332 | + | 0.0570356i | 0.0252425 | + | 0.00536546i | 0.220516 | − | 0.975383i | \(-0.429226\pi\) |
−0.195273 | + | 0.980749i | \(0.562559\pi\) | |||||||
\(114\) | −2.70479 | − | 3.61252i | −0.253326 | − | 0.338344i | ||||
\(115\) | −0.461375 | − | 6.10724i | −0.0430234 | − | 0.569503i | ||||
\(116\) | 0.413152 | + | 1.27155i | 0.0383602 | + | 0.118060i | ||||
\(117\) | 15.8896 | + | 10.8610i | 1.46899 | + | 1.00410i | ||||
\(118\) | −4.27539 | −0.393581 | ||||||||
\(119\) | −0.326909 | − | 0.145549i | −0.0299677 | − | 0.0133425i | ||||
\(120\) | 1.44105 | − | 6.31390i | 0.131550 | − | 0.576378i | ||||
\(121\) | 6.88913 | − | 3.06724i | 0.626285 | − | 0.278840i | ||||
\(122\) | −3.90460 | + | 1.73844i | −0.353506 | + | 0.157391i | ||||
\(123\) | 8.57248 | − | 20.0234i | 0.772955 | − | 1.80545i | ||||
\(124\) | 2.50218 | + | 4.33391i | 0.224703 | + | 0.389196i | ||||
\(125\) | 4.37556 | − | 10.2886i | 0.391362 | − | 0.920237i | ||||
\(126\) | 0.786856 | + | 2.20412i | 0.0700987 | + | 0.196359i | ||||
\(127\) | 0.765000 | − | 2.35443i | 0.0678828 | − | 0.208922i | −0.911361 | − | 0.411608i | \(-0.864967\pi\) |
0.979244 | + | 0.202687i | \(0.0649672\pi\) | |||||||
\(128\) | −1.13506 | + | 10.7993i | −0.100326 | + | 0.954535i | ||||
\(129\) | −12.8432 | + | 4.37796i | −1.13078 | + | 0.385458i | ||||
\(130\) | 4.98686 | + | 3.85147i | 0.437377 | + | 0.337797i | ||||
\(131\) | −0.120783 | − | 1.14917i | −0.0105528 | − | 0.100403i | 0.987978 | − | 0.154597i | \(-0.0494079\pi\) |
−0.998530 | + | 0.0541935i | \(0.982741\pi\) | |||||||
\(132\) | 5.65805 | + | 12.2322i | 0.492470 | + | 1.06468i | ||||
\(133\) | −9.62527 | − | 4.28545i | −0.834617 | − | 0.371595i | ||||
\(134\) | −0.0193521 | − | 0.0595597i | −0.00167177 | − | 0.00514517i | ||||
\(135\) | 10.9998 | − | 3.74238i | 0.946708 | − | 0.322092i | ||||
\(136\) | −0.104108 | + | 0.320410i | −0.00892716 | + | 0.0274750i | ||||
\(137\) | −5.64765 | + | 6.27235i | −0.482511 | + | 0.535883i | −0.934416 | − | 0.356183i | \(-0.884078\pi\) |
0.451905 | + | 0.892066i | \(0.350745\pi\) | |||||||
\(138\) | 1.52833 | − | 1.41639i | 0.130100 | − | 0.120571i | ||||
\(139\) | 2.33243 | + | 2.59043i | 0.197835 | + | 0.219718i | 0.833897 | − | 0.551920i | \(-0.186105\pi\) |
−0.636063 | + | 0.771638i | \(0.719438\pi\) | |||||||
\(140\) | −2.01676 | − | 6.88773i | −0.170447 | − | 0.582120i | ||||
\(141\) | 0.820541 | + | 0.253638i | 0.0691020 | + | 0.0213601i | ||||
\(142\) | 0.969166 | + | 0.431501i | 0.0813306 | + | 0.0362107i | ||||
\(143\) | −27.6252 | −2.31014 | ||||||||
\(144\) | −7.78803 | + | 3.73912i | −0.649002 | + | 0.311593i | ||||
\(145\) | −1.14256 | + | 1.19646i | −0.0948842 | + | 0.0993609i | ||||
\(146\) | −0.127899 | + | 1.21687i | −0.0105850 | + | 0.100709i | ||||
\(147\) | −5.01311 | − | 4.38508i | −0.413475 | − | 0.361675i | ||||
\(148\) | 5.35845 | + | 5.95116i | 0.440462 | + | 0.489183i | ||||
\(149\) | 6.94885 | − | 12.0358i | 0.569272 | − | 0.986008i | −0.427366 | − | 0.904079i | \(-0.640558\pi\) |
0.996638 | − | 0.0819294i | \(-0.0261082\pi\) | |||||||
\(150\) | 3.66610 | − | 1.01419i | 0.299336 | − | 0.0828083i | ||||
\(151\) | 2.35078 | + | 4.07166i | 0.191303 | + | 0.331347i | 0.945682 | − | 0.325092i | \(-0.105395\pi\) |
−0.754379 | + | 0.656439i | \(0.772062\pi\) | |||||||
\(152\) | −3.06527 | + | 9.43393i | −0.248626 | + | 0.765193i | ||||
\(153\) | −0.587363 | + | 0.142599i | −0.0474855 | + | 0.0115285i | ||||
\(154\) | −2.71761 | − | 1.97446i | −0.218991 | − | 0.159107i | ||||
\(155\) | −3.25205 | + | 5.26968i | −0.261211 | + | 0.423271i | ||||
\(156\) | −0.288461 | − | 20.0785i | −0.0230954 | − | 1.60757i | ||||
\(157\) | −4.75661 | + | 8.23869i | −0.379619 | + | 0.657519i | −0.991007 | − | 0.133812i | \(-0.957278\pi\) |
0.611388 | + | 0.791331i | \(0.290611\pi\) | |||||||
\(158\) | 0.590827 | + | 5.62135i | 0.0470037 | + | 0.447210i | ||||
\(159\) | 9.41222 | − | 8.72286i | 0.746438 | − | 0.691768i | ||||
\(160\) | −9.53421 | + | 3.91420i | −0.753746 | + | 0.309445i | ||||
\(161\) | 1.50333 | − | 4.62676i | 0.118479 | − | 0.364640i | ||||
\(162\) | 3.32623 | + | 2.13603i | 0.261333 | + | 0.167822i | ||||
\(163\) | 2.56478 | + | 7.89358i | 0.200889 | + | 0.618273i | 0.999857 | + | 0.0168995i | \(0.00537954\pi\) |
−0.798968 | + | 0.601373i | \(0.794620\pi\) | |||||||
\(164\) | −22.2282 | + | 4.72475i | −1.73573 | + | 0.368941i | ||||
\(165\) | −10.0030 | + | 13.3438i | −0.778734 | + | 1.03881i | ||||
\(166\) | 1.47575 | + | 0.313680i | 0.114540 | + | 0.0243463i | ||||
\(167\) | −1.49105 | − | 14.1864i | −0.115381 | − | 1.09778i | −0.887024 | − | 0.461723i | \(-0.847231\pi\) |
0.771643 | − | 0.636056i | \(-0.219435\pi\) | |||||||
\(168\) | 2.96357 | − | 4.20472i | 0.228644 | − | 0.324402i | ||||
\(169\) | 25.7255 | + | 11.4537i | 1.97888 | + | 0.881056i | ||||
\(170\) | −0.194675 | + | 0.0354494i | −0.0149309 | + | 0.00271885i | ||||
\(171\) | −17.2939 | + | 4.19859i | −1.32250 | + | 0.321074i | ||||
\(172\) | 11.4530 | + | 8.32108i | 0.873282 | + | 0.634476i | ||||
\(173\) | 21.1259 | − | 4.49046i | 1.60618 | − | 0.341403i | 0.684394 | − | 0.729113i | \(-0.260067\pi\) |
0.921782 | + | 0.387709i | \(0.126734\pi\) | |||||||
\(174\) | −0.560560 | − | 0.0507871i | −0.0424959 | − | 0.00385016i | ||||
\(175\) | 6.31886 | − | 6.24005i | 0.477661 | − | 0.471703i | ||||
\(176\) | 6.19992 | − | 10.7386i | 0.467336 | − | 0.809450i | ||||
\(177\) | −6.63549 | + | 15.4990i | −0.498754 | + | 1.16498i | ||||
\(178\) | 0.490268 | − | 4.66459i | 0.0367472 | − | 0.349626i | ||||
\(179\) | 15.0286 | + | 10.9189i | 1.12329 | + | 0.816116i | 0.984704 | − | 0.174235i | \(-0.0557452\pi\) |
0.138583 | + | 0.990351i | \(0.455745\pi\) | |||||||
\(180\) | −9.80295 | − | 7.13104i | −0.730668 | − | 0.531516i | ||||
\(181\) | 1.04274 | − | 0.757596i | 0.0775063 | − | 0.0563116i | −0.548357 | − | 0.836244i | \(-0.684747\pi\) |
0.625864 | + | 0.779932i | \(0.284747\pi\) | |||||||
\(182\) | 2.50248 | + | 4.33442i | 0.185496 | + | 0.321288i | ||||
\(183\) | 0.242120 | + | 16.8529i | 0.0178980 | + | 1.24581i | ||||
\(184\) | −4.48001 | − | 0.952255i | −0.330271 | − | 0.0702012i | ||||
\(185\) | −3.33703 | + | 9.33034i | −0.245343 | + | 0.685980i | ||||
\(186\) | −2.09186 | + | 0.250294i | −0.153382 | + | 0.0183524i | ||||
\(187\) | 0.580497 | − | 0.644707i | 0.0424501 | − | 0.0471456i | ||||
\(188\) | −0.276895 | − | 0.852196i | −0.0201947 | − | 0.0621528i | ||||
\(189\) | 9.21154 | + | 0.568360i | 0.670041 | + | 0.0413421i | ||||
\(190\) | −5.73186 | + | 1.04375i | −0.415833 | + | 0.0757214i | ||||
\(191\) | −1.03713 | + | 1.15185i | −0.0750443 | + | 0.0833452i | −0.779498 | − | 0.626405i | \(-0.784526\pi\) |
0.704453 | + | 0.709750i | \(0.251192\pi\) | |||||||
\(192\) | 5.64832 | + | 3.15375i | 0.407632 | + | 0.227602i | ||||
\(193\) | −5.73764 | + | 9.93788i | −0.413004 | + | 0.715344i | −0.995217 | − | 0.0976925i | \(-0.968854\pi\) |
0.582212 | + | 0.813037i | \(0.302187\pi\) | |||||||
\(194\) | −0.727968 | − | 6.92615i | −0.0522650 | − | 0.497269i | ||||
\(195\) | 21.7020 | − | 12.1007i | 1.55411 | − | 0.866546i | ||||
\(196\) | −0.726354 | + | 6.91080i | −0.0518825 | + | 0.493629i | ||||
\(197\) | 18.5783 | + | 13.4979i | 1.32365 | + | 0.961687i | 0.999879 | + | 0.0155518i | \(0.00495048\pi\) |
0.323770 | + | 0.946136i | \(0.395050\pi\) | |||||||
\(198\) | −5.67148 | + | 0.162994i | −0.403055 | + | 0.0115835i | ||||
\(199\) | −4.17299 | −0.295816 | −0.147908 | − | 0.989001i | \(-0.547254\pi\) | ||||
−0.147908 | + | 0.989001i | \(0.547254\pi\) | |||||||
\(200\) | −6.46444 | − | 5.30231i | −0.457105 | − | 0.374930i | ||||
\(201\) | −0.245949 | − | 0.0222831i | −0.0173479 | − | 0.00157173i | ||||
\(202\) | −2.95835 | − | 3.28558i | −0.208148 | − | 0.231172i | ||||
\(203\) | −1.20048 | + | 0.534488i | −0.0842572 | + | 0.0375137i | ||||
\(204\) | 0.474646 | + | 0.415184i | 0.0332319 | + | 0.0290687i | ||||
\(205\) | −18.1950 | − | 21.4394i | −1.27079 | − | 1.49739i | ||||
\(206\) | 1.77299 | − | 1.28815i | 0.123530 | − | 0.0897497i | ||||
\(207\) | −2.76267 | − | 7.73872i | −0.192019 | − | 0.537878i | ||||
\(208\) | −14.9466 | + | 10.8594i | −1.03636 | + | 0.752962i | ||||
\(209\) | 17.0917 | − | 18.9823i | 1.18226 | − | 1.31303i | ||||
\(210\) | 2.99979 | + | 0.360713i | 0.207005 | + | 0.0248915i | ||||
\(211\) | 1.89620 | + | 2.10594i | 0.130540 | + | 0.144979i | 0.804871 | − | 0.593450i | \(-0.202235\pi\) |
−0.674331 | + | 0.738429i | \(0.735568\pi\) | |||||||
\(212\) | −13.0960 | − | 2.78365i | −0.899439 | − | 0.191182i | ||||
\(213\) | 3.06843 | − | 2.84369i | 0.210245 | − | 0.194847i | ||||
\(214\) | −3.05070 | + | 0.648445i | −0.208541 | + | 0.0443268i | ||||
\(215\) | −2.34095 | + | 17.3602i | −0.159652 | + | 1.18396i | ||||
\(216\) | −0.374346 | − | 8.68076i | −0.0254710 | − | 0.590651i | ||||
\(217\) | −3.97928 | + | 2.89112i | −0.270131 | + | 0.196262i | ||||
\(218\) | 0.126381 | + | 0.218899i | 0.00855962 | + | 0.0148257i | ||||
\(219\) | 4.21287 | + | 2.35227i | 0.284679 | + | 0.158951i | ||||
\(220\) | 17.3918 | + | 0.510028i | 1.17255 | + | 0.0343861i | ||||
\(221\) | −1.18084 | + | 0.525742i | −0.0794316 | + | 0.0353652i | ||||
\(222\) | −3.19101 | + | 1.08774i | −0.214166 | + | 0.0730045i | ||||
\(223\) | 20.2866 | − | 4.31206i | 1.35849 | − | 0.288757i | 0.529640 | − | 0.848223i | \(-0.322327\pi\) |
0.828853 | + | 0.559466i | \(0.188994\pi\) | |||||||
\(224\) | −8.18649 | −0.546983 | ||||||||
\(225\) | 2.01325 | − | 14.8643i | 0.134217 | − | 0.990952i | ||||
\(226\) | 0.120491 | 0.00801494 | ||||||||
\(227\) | 1.31980 | − | 0.280531i | 0.0875979 | − | 0.0186195i | −0.163904 | − | 0.986476i | \(-0.552409\pi\) |
0.251502 | + | 0.967857i | \(0.419075\pi\) | |||||||
\(228\) | 13.9751 | + | 12.2244i | 0.925527 | + | 0.809579i | ||||
\(229\) | 23.4640 | − | 10.4468i | 1.55054 | − | 0.690346i | 0.560119 | − | 0.828412i | \(-0.310755\pi\) |
0.990423 | + | 0.138066i | \(0.0440886\pi\) | |||||||
\(230\) | −0.755932 | − | 2.58170i | −0.0498447 | − | 0.170232i | ||||
\(231\) | −11.3755 | + | 6.78740i | −0.748456 | + | 0.446578i | ||||
\(232\) | 0.618584 | + | 1.07142i | 0.0406120 | + | 0.0703421i | ||||
\(233\) | 12.2726 | − | 8.91660i | 0.804008 | − | 0.584146i | −0.108079 | − | 0.994142i | \(-0.534470\pi\) |
0.912087 | + | 0.409996i | \(0.134470\pi\) | |||||||
\(234\) | 7.81842 | + | 3.21515i | 0.511106 | + | 0.210181i | ||||
\(235\) | 0.765745 | − | 0.801873i | 0.0499517 | − | 0.0523084i | ||||
\(236\) | 17.2056 | − | 3.65717i | 1.11999 | − | 0.238062i | ||||
\(237\) | 21.2953 | + | 6.58259i | 1.38328 | + | 0.427585i | ||||
\(238\) | −0.153740 | − | 0.0326785i | −0.00996551 | − | 0.00211823i | ||||
\(239\) | 9.37451 | + | 10.4114i | 0.606387 | + | 0.673460i | 0.965671 | − | 0.259768i | \(-0.0836459\pi\) |
−0.359285 | + | 0.933228i | \(0.616979\pi\) | |||||||
\(240\) | −0.166752 | + | 11.1518i | −0.0107638 | + | 0.719846i | ||||
\(241\) | −15.0558 | + | 16.7211i | −0.969827 | + | 1.07710i | 0.0271676 | + | 0.999631i | \(0.491351\pi\) |
−0.996995 | + | 0.0774711i | \(0.975315\pi\) | |||||||
\(242\) | 2.67966 | − | 1.94688i | 0.172255 | − | 0.125150i | ||||
\(243\) | 12.9058 | − | 8.74298i | 0.827909 | − | 0.560862i | ||||
\(244\) | 14.2264 | − | 10.3361i | 0.910752 | − | 0.661700i | ||||
\(245\) | −7.95424 | + | 3.26555i | −0.508178 | + | 0.208628i | ||||
\(246\) | 1.85443 | − | 9.38542i | 0.118234 | − | 0.598392i | ||||
\(247\) | −34.7677 | + | 15.4796i | −2.21221 | + | 0.984941i | ||||
\(248\) | 3.09857 | + | 3.44131i | 0.196759 | + | 0.218523i | ||||
\(249\) | 3.42754 | − | 4.86300i | 0.217211 | − | 0.308180i | ||||
\(250\) | 0.940308 | − | 4.81982i | 0.0594703 | − | 0.304832i | ||||
\(251\) | 0.464195 | 0.0292997 | 0.0146499 | − | 0.999893i | \(-0.495337\pi\) | ||||
0.0146499 | + | 0.999893i | \(0.495337\pi\) | |||||||
\(252\) | −5.05199 | − | 8.19708i | −0.318245 | − | 0.516368i | ||||
\(253\) | 9.54159 | + | 6.93237i | 0.599875 | + | 0.435834i | ||||
\(254\) | 0.113658 | − | 1.08138i | 0.00713154 | − | 0.0678521i | ||||
\(255\) | −0.173629 | + | 0.760747i | −0.0108731 | + | 0.0476398i | ||||
\(256\) | −0.282273 | − | 2.68565i | −0.0176421 | − | 0.167853i | ||||
\(257\) | −13.5014 | + | 23.3852i | −0.842197 | + | 1.45873i | 0.0458368 | + | 0.998949i | \(0.485405\pi\) |
−0.888034 | + | 0.459779i | \(0.847929\pi\) | |||||||
\(258\) | −5.11799 | + | 3.05373i | −0.318632 | + | 0.190117i | ||||
\(259\) | −5.26668 | + | 5.84924i | −0.327256 | + | 0.363454i | ||||
\(260\) | −23.3634 | − | 11.2339i | −1.44894 | − | 0.696696i | ||||
\(261\) | −1.05411 | + | 1.95330i | −0.0652479 | + | 0.120906i | ||||
\(262\) | −0.156834 | − | 0.482684i | −0.00968921 | − | 0.0298203i | ||||
\(263\) | −5.71087 | + | 6.34256i | −0.352147 | + | 0.391099i | −0.893029 | − | 0.450000i | \(-0.851424\pi\) |
0.540881 | + | 0.841099i | \(0.318091\pi\) | |||||||
\(264\) | 7.47455 | + | 9.98305i | 0.460027 | + | 0.614414i | ||||
\(265\) | −4.65540 | − | 15.8994i | −0.285979 | − | 0.976692i | ||||
\(266\) | −4.52662 | − | 0.962163i | −0.277545 | − | 0.0589940i | ||||
\(267\) | −16.1490 | − | 9.01684i | −0.988304 | − | 0.551822i | ||||
\(268\) | 0.128827 | + | 0.223135i | 0.00786936 | + | 0.0136301i | ||||
\(269\) | 0.950788 | − | 0.690788i | 0.0579706 | − | 0.0421181i | −0.558423 | − | 0.829557i | \(-0.688593\pi\) |
0.616393 | + | 0.787439i | \(0.288593\pi\) | |||||||
\(270\) | 4.38404 | − | 2.61232i | 0.266804 | − | 0.158981i | ||||
\(271\) | 6.66331 | + | 4.84118i | 0.404767 | + | 0.294081i | 0.771480 | − | 0.636254i | \(-0.219517\pi\) |
−0.366713 | + | 0.930334i | \(0.619517\pi\) | |||||||
\(272\) | 0.0606463 | − | 0.577011i | 0.00367722 | − | 0.0349864i | ||||
\(273\) | 19.5969 | − | 2.34480i | 1.18606 | − | 0.141914i | ||||
\(274\) | −1.85359 | + | 3.21051i | −0.111979 | + | 0.193954i | ||||
\(275\) | 9.65371 | + | 19.2440i | 0.582141 | + | 1.16046i | ||||
\(276\) | −4.93894 | + | 7.00739i | −0.297289 | + | 0.421795i | ||||
\(277\) | 9.21967 | − | 1.95970i | 0.553956 | − | 0.117747i | 0.0775761 | − | 0.996986i | \(-0.475282\pi\) |
0.476380 | + | 0.879239i | \(0.341949\pi\) | |||||||
\(278\) | 1.23863 | + | 0.899921i | 0.0742884 | + | 0.0539737i | ||||
\(279\) | −2.33925 | + | 7.97180i | −0.140047 | + | 0.477259i | ||||
\(280\) | −3.15053 | − | 5.84622i | −0.188280 | − | 0.349378i | ||||
\(281\) | −13.7868 | − | 6.13830i | −0.822454 | − | 0.366180i | −0.0480290 | − | 0.998846i | \(-0.515294\pi\) |
−0.774425 | + | 0.632666i | \(0.781961\pi\) | |||||||
\(282\) | 0.375689 | + | 0.0340377i | 0.0223719 | + | 0.00202691i | ||||
\(283\) | −2.43859 | − | 23.2016i | −0.144959 | − | 1.37919i | −0.789090 | − | 0.614278i | \(-0.789448\pi\) |
0.644131 | − | 0.764915i | \(-0.277219\pi\) | |||||||
\(284\) | −4.26937 | − | 0.907482i | −0.253340 | − | 0.0538491i | ||||
\(285\) | −5.11221 | + | 22.3989i | −0.302821 | + | 1.32680i | ||||
\(286\) | −11.8685 | + | 2.52273i | −0.701801 | + | 0.149172i | ||||
\(287\) | −6.90208 | − | 21.2424i | −0.407417 | − | 1.25390i | ||||
\(288\) | −10.9486 | + | 8.44561i | −0.645152 | + | 0.497663i | ||||
\(289\) | −5.24075 | + | 16.1294i | −0.308279 | + | 0.948786i | ||||
\(290\) | −0.381612 | + | 0.618371i | −0.0224090 | + | 0.0363120i | ||||
\(291\) | −26.2383 | − | 8.11052i | −1.53811 | − | 0.475447i | ||||
\(292\) | −0.526207 | − | 5.00653i | −0.0307939 | − | 0.292985i | ||||
\(293\) | 4.27487 | − | 7.40429i | 0.249740 | − | 0.432563i | −0.713713 | − | 0.700438i | \(-0.752988\pi\) |
0.963454 | + | 0.267875i | \(0.0863214\pi\) | |||||||
\(294\) | −2.55421 | − | 1.42615i | −0.148965 | − | 0.0831748i | ||||
\(295\) | 14.0837 | + | 16.5951i | 0.819986 | + | 0.966203i | ||||
\(296\) | 5.99498 | + | 4.35560i | 0.348451 | + | 0.253164i | ||||
\(297\) | −8.21137 | + | 20.8130i | −0.476472 | + | 1.20770i | ||||
\(298\) | 1.88631 | − | 5.80545i | 0.109271 | − | 0.336301i | ||||
\(299\) | −8.78625 | − | 15.2182i | −0.508122 | − | 0.880093i | ||||
\(300\) | −13.8861 | + | 7.21744i | −0.801716 | + | 0.416699i | ||||
\(301\) | −6.95711 | + | 12.0501i | −0.401001 | + | 0.694554i | ||||
\(302\) | 1.38178 | + | 1.53462i | 0.0795125 | + | 0.0883076i | ||||
\(303\) | −16.5022 | + | 5.62522i | −0.948025 | + | 0.323161i | ||||
\(304\) | 1.78562 | − | 16.9891i | 0.102413 | − | 0.974391i | ||||
\(305\) | 19.6101 | + | 9.42919i | 1.12287 | + | 0.539914i | ||||
\(306\) | −0.239325 | + | 0.114902i | −0.0136813 | + | 0.00656853i | ||||
\(307\) | 20.4968 | 1.16981 | 0.584907 | − | 0.811101i | \(-0.301131\pi\) | ||||
0.584907 | + | 0.811101i | \(0.301131\pi\) | |||||||
\(308\) | 12.6256 | + | 5.62127i | 0.719409 | + | 0.320301i | ||||
\(309\) | −1.91805 | − | 8.42661i | −0.109114 | − | 0.479373i | ||||
\(310\) | −0.915941 | + | 2.56097i | −0.0520219 | + | 0.145453i | ||||
\(311\) | 0.791719 | + | 0.879293i | 0.0448943 | + | 0.0498601i | 0.765174 | − | 0.643824i | \(-0.222653\pi\) |
−0.720279 | + | 0.693684i | \(0.755986\pi\) | |||||||
\(312\) | −4.12398 | − | 18.1179i | −0.233474 | − | 1.02573i | ||||
\(313\) | 9.93394 | − | 11.0328i | 0.561500 | − | 0.623609i | −0.393818 | − | 0.919188i | \(-0.628846\pi\) |
0.955318 | + | 0.295580i | \(0.0955128\pi\) | |||||||
\(314\) | −1.29121 | + | 3.97393i | −0.0728672 | + | 0.224262i | ||||
\(315\) | 5.96338 | − | 10.3149i | 0.335998 | − | 0.581179i | ||||
\(316\) | −7.18620 | − | 22.1168i | −0.404255 | − | 1.24417i | ||||
\(317\) | −0.319419 | − | 0.142214i | −0.0179404 | − | 0.00798756i | 0.397747 | − | 0.917495i | \(-0.369792\pi\) |
−0.415687 | + | 0.909508i | \(0.636459\pi\) | |||||||
\(318\) | 3.24717 | − | 4.60710i | 0.182092 | − | 0.258353i | ||||
\(319\) | −0.333006 | − | 3.16834i | −0.0186447 | − | 0.177393i | ||||
\(320\) | 6.89759 | − | 4.70878i | 0.385587 | − | 0.263229i | ||||
\(321\) | −2.38402 | + | 12.0657i | −0.133063 | + | 0.673441i | ||||
\(322\) | 0.223353 | − | 2.12506i | 0.0124470 | − | 0.118425i | ||||
\(323\) | 0.369327 | − | 1.13667i | 0.0205499 | − | 0.0632461i | ||||
\(324\) | −15.2130 | − | 5.75085i | −0.845169 | − | 0.319492i | ||||
\(325\) | −1.47779 | − | 32.0440i | −0.0819731 | − | 1.77748i | ||||
\(326\) | 1.82274 | + | 3.15708i | 0.100952 | + | 0.174854i | ||||
\(327\) | 0.989691 | − | 0.118418i | 0.0547300 | − | 0.00654853i | ||||
\(328\) | −19.2102 | + | 8.55293i | −1.06071 | + | 0.472256i | ||||
\(329\) | 0.804565 | − | 0.358215i | 0.0443571 | − | 0.0197491i | ||||
\(330\) | −3.07901 | + | 6.64631i | −0.169494 | + | 0.365868i | ||||
\(331\) | −14.2383 | − | 6.33928i | −0.782605 | − | 0.348438i | −0.0237671 | − | 0.999718i | \(-0.507566\pi\) |
−0.758838 | + | 0.651279i | \(0.774233\pi\) | |||||||
\(332\) | −6.20725 | −0.340667 | ||||||||
\(333\) | −1.00926 | + | 13.2561i | −0.0553069 | + | 0.726432i | ||||
\(334\) | −1.93610 | − | 5.95871i | −0.105939 | − | 0.326046i | ||||
\(335\) | −0.167435 | + | 0.271314i | −0.00914792 | + | 0.0148235i | ||||
\(336\) | −3.48665 | + | 8.14402i | −0.190212 | + | 0.444293i | ||||
\(337\) | 20.5449 | + | 4.36696i | 1.11915 | + | 0.237883i | 0.730106 | − | 0.683334i | \(-0.239471\pi\) |
0.389047 | + | 0.921218i | \(0.372804\pi\) | |||||||
\(338\) | 12.0983 | + | 2.57158i | 0.658061 | + | 0.139875i | ||||
\(339\) | 0.187004 | − | 0.436800i | 0.0101567 | − | 0.0237237i | ||||
\(340\) | 0.753115 | − | 0.309186i | 0.0408434 | − | 0.0167679i | ||||
\(341\) | −3.68486 | − | 11.3408i | −0.199547 | − | 0.614141i | ||||
\(342\) | −7.04650 | + | 3.38310i | −0.381031 | + | 0.182937i | ||||
\(343\) | −19.2628 | −1.04009 | ||||||||
\(344\) | 11.9672 | + | 5.32814i | 0.645228 | + | 0.287274i | ||||
\(345\) | −10.5323 | − | 1.26647i | −0.567041 | − | 0.0681844i | ||||
\(346\) | 8.66620 | − | 3.85844i | 0.465898 | − | 0.207431i | ||||
\(347\) | 3.65328 | − | 1.62655i | 0.196119 | − | 0.0873176i | −0.306327 | − | 0.951926i | \(-0.599100\pi\) |
0.502446 | + | 0.864609i | \(0.332434\pi\) | |||||||
\(348\) | 2.29933 | − | 0.275118i | 0.123257 | − | 0.0147479i | ||||
\(349\) | −1.07056 | − | 1.85427i | −0.0573059 | − | 0.0992567i | 0.835949 | − | 0.548807i | \(-0.184918\pi\) |
−0.893255 | + | 0.449550i | \(0.851584\pi\) | |||||||
\(350\) | 2.14491 | − | 3.25793i | 0.114650 | − | 0.174144i | ||||
\(351\) | 23.7898 | − | 23.3531i | 1.26981 | − | 1.24650i | ||||
\(352\) | 6.13300 | − | 18.8754i | 0.326890 | − | 1.00606i | ||||
\(353\) | −1.18522 | + | 11.2766i | −0.0630830 | + | 0.600194i | 0.916623 | + | 0.399753i | \(0.130904\pi\) |
−0.979706 | + | 0.200441i | \(0.935762\pi\) | |||||||
\(354\) | −1.43541 | + | 7.26474i | −0.0762914 | + | 0.386117i | ||||
\(355\) | −1.51768 | − | 5.18328i | −0.0805503 | − | 0.275100i | ||||
\(356\) | 2.01709 | + | 19.1913i | 0.106905 | + | 1.01714i | ||||
\(357\) | −0.357073 | + | 0.506617i | −0.0188983 | + | 0.0268130i | ||||
\(358\) | 7.45378 | + | 3.31864i | 0.393945 | + | 0.175395i | ||||
\(359\) | −7.26044 | − | 22.3453i | −0.383191 | − | 1.17934i | −0.937784 | − | 0.347219i | \(-0.887126\pi\) |
0.554593 | − | 0.832122i | \(-0.312874\pi\) | |||||||
\(360\) | −10.2448 | − | 4.56846i | −0.539947 | − | 0.240779i | ||||
\(361\) | 5.00287 | − | 15.3973i | 0.263309 | − | 0.810382i | ||||
\(362\) | 0.378806 | − | 0.420706i | 0.0199096 | − | 0.0221118i | ||||
\(363\) | −2.89890 | − | 12.7358i | −0.152153 | − | 0.668456i | ||||
\(364\) | −13.7785 | − | 15.3026i | −0.722190 | − | 0.802073i | ||||
\(365\) | 5.14466 | − | 3.51211i | 0.269284 | − | 0.183832i | ||||
\(366\) | 1.64303 | + | 7.21836i | 0.0858826 | + | 0.377310i | ||||
\(367\) | −18.6193 | − | 8.28983i | −0.971918 | − | 0.432726i | −0.141544 | − | 0.989932i | \(-0.545207\pi\) |
−0.830374 | + | 0.557206i | \(0.811873\pi\) | |||||||
\(368\) | 7.88758 | 0.411168 | ||||||||
\(369\) | −31.1456 | − | 21.2890i | −1.62138 | − | 1.10826i | ||||
\(370\) | −0.581630 | + | 4.31330i | −0.0302375 | + | 0.224238i | ||||
\(371\) | 1.37552 | − | 13.0872i | 0.0714135 | − | 0.679454i | ||||
\(372\) | 8.20426 | − | 2.79665i | 0.425371 | − | 0.144999i | ||||
\(373\) | −20.6426 | − | 22.9259i | −1.06883 | − | 1.18706i | −0.981616 | − | 0.190868i | \(-0.938870\pi\) |
−0.0872153 | − | 0.996189i | \(-0.527797\pi\) | |||||||
\(374\) | 0.190522 | − | 0.329994i | 0.00985167 | − | 0.0170636i | ||||
\(375\) | −16.0133 | − | 10.8892i | −0.826922 | − | 0.562317i | ||||
\(376\) | −0.414576 | − | 0.718068i | −0.0213801 | − | 0.0370315i | ||||
\(377\) | −1.46680 | + | 4.51433i | −0.0755439 | + | 0.232500i | ||||
\(378\) | 4.00943 | − | 0.597015i | 0.206223 | − | 0.0307071i | ||||
\(379\) | −26.1852 | − | 19.0246i | −1.34504 | − | 0.977230i | −0.999242 | − | 0.0389217i | \(-0.987608\pi\) |
−0.345800 | − | 0.938308i | \(-0.612392\pi\) | |||||||
\(380\) | 22.1742 | − | 9.10344i | 1.13751 | − | 0.466997i | ||||
\(381\) | −3.74380 | − | 2.09036i | −0.191801 | − | 0.107092i | ||||
\(382\) | −0.340393 | + | 0.589578i | −0.0174160 | + | 0.0301654i | ||||
\(383\) | 3.58734 | + | 34.1313i | 0.183304 | + | 1.74403i | 0.569844 | + | 0.821753i | \(0.307004\pi\) |
−0.386540 | + | 0.922273i | \(0.626330\pi\) | |||||||
\(384\) | 17.9691 | + | 5.55444i | 0.916984 | + | 0.283449i | ||||
\(385\) | 1.28825 | + | 17.0527i | 0.0656555 | + | 0.869084i | ||||
\(386\) | −1.55752 | + | 4.79354i | −0.0792754 | + | 0.243985i | ||||
\(387\) | 3.12706 | + | 23.2930i | 0.158958 | + | 1.18405i | ||||
\(388\) | 8.85423 | + | 27.2505i | 0.449505 | + | 1.38344i | ||||
\(389\) | −4.03437 | + | 0.857531i | −0.204550 | + | 0.0434785i | −0.309047 | − | 0.951047i | \(-0.600010\pi\) |
0.104497 | + | 0.994525i | \(0.466677\pi\) | |||||||
\(390\) | 8.21871 | − | 7.18059i | 0.416170 | − | 0.363603i | ||||
\(391\) | 0.539785 | + | 0.114735i | 0.0272981 | + | 0.00580239i | ||||
\(392\) | 0.672125 | + | 6.39484i | 0.0339474 | + | 0.322988i | ||||
\(393\) | −1.99322 | − | 0.180587i | −0.100545 | − | 0.00910942i | ||||
\(394\) | 9.21437 | + | 4.10250i | 0.464213 | + | 0.206681i | ||||
\(395\) | 19.8732 | − | 20.8108i | 0.999929 | − | 1.04711i | ||||
\(396\) | 22.6846 | − | 5.50734i | 1.13994 | − | 0.276754i | ||||
\(397\) | −15.7730 | − | 11.4597i | −0.791622 | − | 0.575147i | 0.116822 | − | 0.993153i | \(-0.462729\pi\) |
−0.908444 | + | 0.418006i | \(0.862729\pi\) | |||||||
\(398\) | −1.79283 | + | 0.381078i | −0.0898664 | + | 0.0191017i | ||||
\(399\) | −10.5134 | + | 14.9165i | −0.526329 | + | 0.746757i | ||||
\(400\) | 12.7879 | + | 6.61717i | 0.639396 | + | 0.330859i | ||||
\(401\) | −10.5037 | + | 18.1930i | −0.524530 | + | 0.908513i | 0.475062 | + | 0.879953i | \(0.342426\pi\) |
−0.999592 | + | 0.0285608i | \(0.990908\pi\) | |||||||
\(402\) | −0.107701 | + | 0.0128866i | −0.00537164 | + | 0.000642725i | ||||
\(403\) | −1.85714 | + | 17.6695i | −0.0925106 | + | 0.880179i | ||||
\(404\) | 14.7159 | + | 10.6917i | 0.732143 | + | 0.531933i | ||||
\(405\) | −2.66600 | − | 19.9472i | −0.132474 | − | 0.991186i | ||||
\(406\) | −0.466949 | + | 0.339258i | −0.0231743 | + | 0.0168371i | ||||
\(407\) | −9.54088 | − | 16.5253i | −0.472924 | − | 0.819128i | ||||
\(408\) | 0.509488 | + | 0.284474i | 0.0252234 | + | 0.0140836i | ||||
\(409\) | 6.64167 | + | 1.41173i | 0.328409 | + | 0.0698055i | 0.369166 | − | 0.929364i | \(-0.379643\pi\) |
−0.0407565 | + | 0.999169i | \(0.512977\pi\) | |||||||
\(410\) | −9.77489 | − | 7.54938i | −0.482747 | − | 0.372837i | ||||
\(411\) | 8.76184 | + | 11.7024i | 0.432189 | + | 0.577234i | ||||
\(412\) | −6.03323 | + | 6.70058i | −0.297236 | + | 0.330114i | ||||
\(413\) | 5.34252 | + | 16.4426i | 0.262888 | + | 0.809087i | ||||
\(414\) | −1.89362 | − | 3.07248i | −0.0930661 | − | 0.151004i | ||||
\(415\) | −3.64376 | − | 6.76148i | −0.178865 | − | 0.331908i | ||||
\(416\) | −19.7866 | + | 21.9753i | −0.970118 | + | 1.07743i | ||||
\(417\) | 5.18475 | − | 3.09356i | 0.253898 | − | 0.151492i | ||||
\(418\) | 5.60960 | − | 9.71612i | 0.274375 | − | 0.475231i | ||||
\(419\) | 3.50641 | + | 33.3613i | 0.171299 | + | 1.62980i | 0.655745 | + | 0.754983i | \(0.272355\pi\) |
−0.484446 | + | 0.874821i | \(0.660979\pi\) | |||||||
\(420\) | −12.3807 | + | 1.11439i | −0.604118 | + | 0.0543766i | ||||
\(421\) | 2.40764 | − | 22.9071i | 0.117341 | − | 1.11643i | −0.764416 | − | 0.644723i | \(-0.776973\pi\) |
0.881757 | − | 0.471703i | \(-0.156361\pi\) | |||||||
\(422\) | 1.00697 | + | 0.731609i | 0.0490187 | + | 0.0356142i | ||||
\(423\) | 0.706468 | − | 1.30911i | 0.0343497 | − | 0.0636510i | ||||
\(424\) | −12.3890 | −0.601663 | ||||||||
\(425\) | 0.778884 | + | 0.638862i | 0.0377814 | + | 0.0309893i | ||||
\(426\) | 1.05859 | − | 1.50194i | 0.0512890 | − | 0.0727690i | ||||
\(427\) | 11.5650 | + | 12.8442i | 0.559670 | + | 0.621577i | ||||
\(428\) | 11.7224 | − | 5.21914i | 0.566622 | − | 0.252277i | ||||
\(429\) | −9.27486 | + | 46.9408i | −0.447795 | + | 2.26632i | ||||
\(430\) | 0.579600 | + | 7.67219i | 0.0279508 | + | 0.369986i | ||||
\(431\) | −15.8922 | + | 11.5463i | −0.765498 | + | 0.556167i | −0.900592 | − | 0.434666i | \(-0.856866\pi\) |
0.135094 | + | 0.990833i | \(0.456866\pi\) | |||||||
\(432\) | 3.73877 | + | 14.4888i | 0.179881 | + | 0.697092i | ||||
\(433\) | −1.24749 | + | 0.906354i | −0.0599505 | + | 0.0435566i | −0.617357 | − | 0.786683i | \(-0.711797\pi\) |
0.557406 | + | 0.830240i | \(0.311797\pi\) | |||||||
\(434\) | −1.44559 | + | 1.60549i | −0.0693904 | + | 0.0770659i | ||||
\(435\) | 1.64943 | + | 2.34313i | 0.0790841 | + | 0.112345i | ||||
\(436\) | −0.695848 | − | 0.772817i | −0.0333251 | − | 0.0370112i | ||||
\(437\) | 15.8931 | + | 3.37817i | 0.760268 | + | 0.161600i | ||||
\(438\) | 2.02477 | + | 0.625877i | 0.0967473 | + | 0.0299056i | ||||
\(439\) | −3.38112 | + | 0.718679i | −0.161372 | + | 0.0343007i | −0.287889 | − | 0.957664i | \(-0.592953\pi\) |
0.126517 | + | 0.991964i | \(0.459620\pi\) | |||||||
\(440\) | 15.8397 | − | 2.88435i | 0.755130 | − | 0.137506i | ||||
\(441\) | −9.13422 | + | 7.04604i | −0.434963 | + | 0.335526i | ||||
\(442\) | −0.459308 | + | 0.333707i | −0.0218470 | + | 0.0158728i | ||||
\(443\) | −11.4007 | − | 19.7467i | −0.541666 | − | 0.938193i | −0.998809 | − | 0.0487993i | \(-0.984461\pi\) |
0.457143 | − | 0.889393i | \(-0.348873\pi\) | |||||||
\(444\) | 11.9113 | − | 7.10704i | 0.565283 | − | 0.337285i | ||||
\(445\) | −19.7208 | + | 13.4628i | −0.934855 | + | 0.638199i | ||||
\(446\) | 8.32190 | − | 3.70515i | 0.394053 | − | 0.175444i | ||||
\(447\) | −18.1182 | − | 15.8484i | −0.856960 | − | 0.749602i | ||||
\(448\) | 6.48881 | − | 1.37924i | 0.306567 | − | 0.0651629i | ||||
\(449\) | 19.8521 | 0.936876 | 0.468438 | − | 0.883496i | \(-0.344817\pi\) | ||||
0.468438 | + | 0.883496i | \(0.344817\pi\) | |||||||
\(450\) | −0.492458 | − | 6.56994i | −0.0232147 | − | 0.309710i | ||||
\(451\) | 54.1489 | 2.54977 | ||||||||
\(452\) | −0.484897 | + | 0.103068i | −0.0228076 | + | 0.00484791i | ||||
\(453\) | 7.70782 | − | 2.62742i | 0.362145 | − | 0.123447i | ||||
\(454\) | 0.541401 | − | 0.241047i | 0.0254092 | − | 0.0113129i | ||||
\(455\) | 8.58069 | − | 23.9916i | 0.402269 | − | 1.12475i | ||||
\(456\) | 15.0010 | + | 8.37585i | 0.702486 | + | 0.392235i | ||||
\(457\) | −3.84410 | − | 6.65818i | −0.179820 | − | 0.311457i | 0.761999 | − | 0.647578i | \(-0.224218\pi\) |
−0.941819 | + | 0.336122i | \(0.890885\pi\) | |||||||
\(458\) | 9.12674 | − | 6.63097i | 0.426465 | − | 0.309845i | ||||
\(459\) | 0.0451040 | + | 1.04592i | 0.00210528 | + | 0.0488195i | ||||
\(460\) | 5.25052 | + | 9.74302i | 0.244807 | + | 0.454271i | ||||
\(461\) | −5.32282 | + | 1.13140i | −0.247908 | + | 0.0526945i | −0.330190 | − | 0.943915i | \(-0.607113\pi\) |
0.0822814 | + | 0.996609i | \(0.473779\pi\) | |||||||
\(462\) | −4.26741 | + | 3.95486i | −0.198538 | + | 0.183997i | ||||
\(463\) | −5.77700 | − | 1.22794i | −0.268480 | − | 0.0570672i | 0.0717044 | − | 0.997426i | \(-0.477156\pi\) |
−0.340184 | + | 0.940359i | \(0.610489\pi\) | |||||||
\(464\) | −1.42564 | − | 1.58333i | −0.0661835 | − | 0.0735042i | ||||
\(465\) | 7.86240 | + | 7.29512i | 0.364610 | + | 0.338303i | ||||
\(466\) | 4.45839 | − | 4.95155i | 0.206531 | − | 0.229376i | ||||
\(467\) | 19.9403 | − | 14.4875i | 0.922727 | − | 0.670400i | −0.0214742 | − | 0.999769i | \(-0.506836\pi\) |
0.944201 | + | 0.329369i | \(0.106836\pi\) | |||||||
\(468\) | −34.2142 | − | 6.25099i | −1.58155 | − | 0.288952i | ||||
\(469\) | −0.204876 | + | 0.148851i | −0.00946032 | + | 0.00687332i | ||||
\(470\) | 0.255757 | − | 0.414434i | 0.0117972 | − | 0.0191164i | ||||
\(471\) | 12.4022 | + | 10.8485i | 0.571463 | + | 0.499871i | ||||
\(472\) | 14.8696 | − | 6.62035i | 0.684427 | − | 0.304726i | ||||
\(473\) | −22.5716 | − | 25.0683i | −1.03784 | − | 1.15264i | ||||
\(474\) | 9.75015 | + | 0.883372i | 0.447839 | + | 0.0405746i | ||||
\(475\) | 22.9329 | + | 18.8102i | 1.05223 | + | 0.863070i | ||||
\(476\) | 0.646657 | 0.0296395 | ||||||||
\(477\) | −11.6618 | − | 18.9218i | −0.533959 | − | 0.866372i | ||||
\(478\) | 4.97831 | + | 3.61696i | 0.227703 | + | 0.165436i | ||||
\(479\) | −1.66450 | + | 15.8366i | −0.0760528 | + | 0.723594i | 0.888352 | + | 0.459163i | \(0.151851\pi\) |
−0.964405 | + | 0.264431i | \(0.914816\pi\) | |||||||
\(480\) | 3.45000 | + | 17.5147i | 0.157470 | + | 0.799432i | ||||
\(481\) | 2.97182 | + | 28.2750i | 0.135504 | + | 1.28923i | ||||
\(482\) | −4.94139 | + | 8.55873i | −0.225074 | + | 0.389840i | ||||
\(483\) | −7.35707 | − | 4.10784i | −0.334758 | − | 0.186913i | ||||
\(484\) | −9.11849 | + | 10.1271i | −0.414477 | + | 0.460323i | ||||
\(485\) | −24.4861 | + | 25.6413i | −1.11186 | + | 1.16431i | ||||
\(486\) | 4.74628 | − | 4.93478i | 0.215296 | − | 0.223846i | ||||
\(487\) | 9.80003 | + | 30.1614i | 0.444082 | + | 1.36674i | 0.883488 | + | 0.468454i | \(0.155189\pi\) |
−0.439406 | + | 0.898289i | \(0.644811\pi\) | |||||||
\(488\) | 10.8880 | − | 12.0924i | 0.492879 | − | 0.547397i | ||||
\(489\) | 14.2739 | − | 1.70789i | 0.645486 | − | 0.0772335i | ||||
\(490\) | −3.11914 | + | 2.12935i | −0.140908 | + | 0.0961942i | ||||
\(491\) | 22.0949 | + | 4.69643i | 0.997131 | + | 0.211947i | 0.677442 | − | 0.735576i | \(-0.263088\pi\) |
0.319689 | + | 0.947523i | \(0.396422\pi\) | |||||||
\(492\) | 0.565420 | + | 39.3564i | 0.0254911 | + | 1.77433i | ||||
\(493\) | −0.0745316 | − | 0.129093i | −0.00335674 | − | 0.00581404i | ||||
\(494\) | −13.5235 | + | 9.82542i | −0.608452 | + | 0.442066i | ||||
\(495\) | 19.3153 | + | 21.4771i | 0.868159 | + | 0.965326i | ||||
\(496\) | −6.45175 | − | 4.68747i | −0.289692 | − | 0.210474i | ||||
\(497\) | 0.448426 | − | 4.26649i | 0.0201147 | − | 0.191378i | ||||
\(498\) | 1.02847 | − | 2.40228i | 0.0460869 | − | 0.107649i | ||||
\(499\) | 9.74420 | − | 16.8775i | 0.436210 | − | 0.755539i | −0.561183 | − | 0.827692i | \(-0.689654\pi\) |
0.997394 | + | 0.0721531i | \(0.0229870\pi\) | |||||||
\(500\) | 0.338751 | + | 20.2009i | 0.0151494 | + | 0.903414i | ||||
\(501\) | −24.6062 | − | 2.22934i | −1.09932 | − | 0.0995995i | ||||
\(502\) | 0.199431 | − | 0.0423903i | 0.00890102 | − | 0.00189197i | ||||
\(503\) | −14.7866 | − | 10.7431i | −0.659301 | − | 0.479010i | 0.207126 | − | 0.978314i | \(-0.433589\pi\) |
−0.866427 | + | 0.499304i | \(0.833589\pi\) | |||||||
\(504\) | −6.14968 | − | 6.44739i | −0.273929 | − | 0.287189i | ||||
\(505\) | −3.00788 | + | 22.3061i | −0.133849 | + | 0.992607i | ||||
\(506\) | 4.73239 | + | 2.10699i | 0.210380 | + | 0.0936673i | ||||
\(507\) | 28.0992 | − | 39.8673i | 1.24793 | − | 1.77057i | ||||
\(508\) | 0.467618 | + | 4.44909i | 0.0207472 | + | 0.197396i | ||||
\(509\) | −22.0398 | − | 4.68470i | −0.976895 | − | 0.207645i | −0.308314 | − | 0.951285i | \(-0.599765\pi\) |
−0.668581 | + | 0.743639i | \(0.733098\pi\) | |||||||
\(510\) | −0.00512424 | + | 0.342693i | −0.000226905 | + | 0.0151747i | ||||
\(511\) | 4.83976 | − | 1.02872i | 0.214098 | − | 0.0455080i | ||||
\(512\) | −7.07765 | − | 21.7828i | −0.312791 | − | 0.962671i | ||||
\(513\) | 1.32801 | + | 30.7954i | 0.0586331 | + | 1.35965i | ||||
\(514\) | −3.66505 | + | 11.2799i | −0.161658 | + | 0.497533i | ||||
\(515\) | −10.8405 | − | 2.63857i | −0.477688 | − | 0.116269i | ||||
\(516\) | 17.9844 | − | 16.6672i | 0.791719 | − | 0.733732i | ||||
\(517\) | 0.223181 | + | 2.12343i | 0.00981550 | + | 0.0933883i | ||||
\(518\) | −1.72855 | + | 2.99394i | −0.0759483 | + | 0.131546i | ||||
\(519\) | −0.537382 | − | 37.4048i | −0.0235884 | − | 1.64189i | ||||
\(520\) | −23.3080 | − | 5.67315i | −1.02212 | − | 0.248784i | ||||
\(521\) | −4.02702 | − | 2.92580i | −0.176427 | − | 0.128182i | 0.496067 | − | 0.868284i | \(-0.334777\pi\) |
−0.672494 | + | 0.740103i | \(0.734777\pi\) | |||||||
\(522\) | −0.274499 | + | 0.935452i | −0.0120145 | + | 0.0409436i | ||||
\(523\) | −0.936421 | + | 2.88201i | −0.0409468 | + | 0.126021i | −0.969440 | − | 0.245327i | \(-0.921105\pi\) |
0.928493 | + | 0.371349i | \(0.121105\pi\) | |||||||
\(524\) | 1.04404 | + | 1.80833i | 0.0456091 | + | 0.0789973i | ||||
\(525\) | −8.48160 | − | 12.8320i | −0.370167 | − | 0.560036i | ||||
\(526\) | −1.87434 | + | 3.24645i | −0.0817251 | + | 0.141552i | ||||
\(527\) | −0.373339 | − | 0.414635i | −0.0162629 | − | 0.0180618i | ||||
\(528\) | −16.1654 | − | 14.1403i | −0.703510 | − | 0.615376i | ||||
\(529\) | 1.61996 | − | 15.4129i | 0.0704329 | − | 0.670124i | ||||
\(530\) | −3.45202 | − | 6.40567i | −0.149946 | − | 0.278245i | ||||
\(531\) | 24.1081 | + | 16.4786i | 1.04620 | + | 0.715112i | ||||
\(532\) | 19.0397 | 0.825477 | ||||||||
\(533\) | −73.7039 | − | 32.8151i | −3.19247 | − | 1.42138i | ||||
\(534\) | −7.76147 | − | 2.39915i | −0.335872 | − | 0.103821i | ||||
\(535\) | 12.5664 | + | 9.70532i | 0.543292 | + | 0.419598i | ||||
\(536\) | 0.159532 | + | 0.177179i | 0.00689075 | + | 0.00765296i | ||||
\(537\) | 23.5990 | − | 21.8706i | 1.01837 | − | 0.943787i | ||||
\(538\) | 0.345401 | − | 0.383607i | 0.0148913 | − | 0.0165385i | ||||
\(539\) | 5.11666 | − | 15.7475i | 0.220390 | − | 0.678291i | ||||
\(540\) | −15.4083 | + | 14.2630i | −0.663067 | + | 0.613782i | ||||
\(541\) | −4.84376 | − | 14.9075i | −0.208249 | − | 0.640925i | −0.999564 | − | 0.0295168i | \(-0.990603\pi\) |
0.791315 | − | 0.611409i | \(-0.209397\pi\) | |||||||
\(542\) | 3.30483 | + | 1.47141i | 0.141955 | + | 0.0632023i | ||||
\(543\) | −0.937217 | − | 2.02618i | −0.0402198 | − | 0.0869517i | ||||
\(544\) | −0.0970685 | − | 0.923545i | −0.00416178 | − | 0.0395967i | ||||
\(545\) | 0.433346 | − | 1.21164i | 0.0185625 | − | 0.0519008i | ||||
\(546\) | 8.20522 | − | 2.79698i | 0.351151 | − | 0.119700i | ||||
\(547\) | 0.797793 | − | 7.59049i | 0.0341112 | − | 0.324546i | −0.964138 | − | 0.265401i | \(-0.914496\pi\) |
0.998249 | − | 0.0591454i | \(-0.0188376\pi\) | |||||||
\(548\) | 4.71321 | − | 14.5058i | 0.201338 | − | 0.619656i | ||||
\(549\) | 28.7178 | + | 5.24678i | 1.22565 | + | 0.223927i | ||||
\(550\) | 5.90486 | + | 7.38618i | 0.251784 | + | 0.314948i | ||||
\(551\) | −2.19446 | − | 3.80091i | −0.0934870 | − | 0.161924i | ||||
\(552\) | −3.12219 | + | 7.29272i | −0.132889 | + | 0.310399i | ||||
\(553\) | 20.8807 | − | 9.29668i | 0.887937 | − | 0.395335i | ||||
\(554\) | 3.78206 | − | 1.68388i | 0.160684 | − | 0.0715412i | ||||
\(555\) | 14.7337 | + | 8.80283i | 0.625412 | + | 0.373659i | ||||
\(556\) | −5.75449 | − | 2.56206i | −0.244045 | − | 0.108656i | ||||
\(557\) | 17.3196 | 0.733856 | 0.366928 | − | 0.930249i | \(-0.380410\pi\) | ||||
0.366928 | + | 0.930249i | \(0.380410\pi\) | |||||||
\(558\) | −0.277019 | + | 3.63852i | −0.0117271 | + | 0.154031i | ||||
\(559\) | 15.5311 | + | 47.8000i | 0.656898 | + | 2.02172i | ||||
\(560\) | 7.40036 | + | 8.71995i | 0.312722 | + | 0.368485i | ||||
\(561\) | −0.900590 | − | 1.20283i | −0.0380230 | − | 0.0507836i | ||||
\(562\) | −6.48374 | − | 1.37816i | −0.273500 | − | 0.0581343i | ||||
\(563\) | −25.2749 | − | 5.37236i | −1.06521 | − | 0.226418i | −0.358218 | − | 0.933638i | \(-0.616616\pi\) |
−0.706994 | + | 0.707220i | \(0.749949\pi\) | |||||||
\(564\) | −1.54102 | + | 0.184385i | −0.0648885 | + | 0.00776401i | ||||
\(565\) | −0.396914 | − | 0.467690i | −0.0166983 | − | 0.0196759i | ||||
\(566\) | −3.16645 | − | 9.74534i | −0.133096 | − | 0.409627i | ||||
\(567\) | 4.05843 | − | 15.4614i | 0.170438 | − | 0.649319i | ||||
\(568\) | −4.03887 | −0.169467 | ||||||||
\(569\) | −0.158490 | − | 0.0705645i | −0.00664427 | − | 0.00295822i | 0.403412 | − | 0.915019i | \(-0.367824\pi\) |
−0.410056 | + | 0.912060i | \(0.634491\pi\) | |||||||
\(570\) | −0.150875 | + | 10.0900i | −0.00631944 | + | 0.422624i | ||||
\(571\) | −22.4784 | + | 10.0080i | −0.940693 | + | 0.418824i | −0.819032 | − | 0.573748i | \(-0.805489\pi\) |
−0.121661 | + | 0.992572i | \(0.538822\pi\) | |||||||
\(572\) | 45.6051 | − | 20.3047i | 1.90685 | − | 0.848982i | ||||
\(573\) | 1.60902 | + | 2.14902i | 0.0672179 | + | 0.0897765i | ||||
\(574\) | −4.90518 | − | 8.49601i | −0.204738 | − | 0.354617i | ||||
\(575\) | −7.53082 | + | 11.4387i | −0.314057 | + | 0.477025i | ||||
\(576\) | 7.25521 | − | 8.53878i | 0.302300 | − | 0.355782i | ||||
\(577\) | −8.78272 | + | 27.0304i | −0.365629 | + | 1.12529i | 0.583957 | + | 0.811785i | \(0.301504\pi\) |
−0.949586 | + | 0.313506i | \(0.898496\pi\) | |||||||
\(578\) | −0.778632 | + | 7.40819i | −0.0323868 | + | 0.308140i | ||||
\(579\) | 14.9601 | + | 13.0859i | 0.621720 | + | 0.543832i | ||||
\(580\) | 1.00678 | − | 2.81497i | 0.0418044 | − | 0.116885i | ||||
\(581\) | −0.637722 | − | 6.06752i | −0.0264572 | − | 0.251723i | ||||
\(582\) | −12.0133 | − | 1.08842i | −0.497968 | − | 0.0451163i | ||||
\(583\) | 29.1444 | + | 12.9759i | 1.20704 | + | 0.537408i | ||||
\(584\) | −1.43948 | − | 4.43027i | −0.0595661 | − | 0.183326i | ||||
\(585\) | −13.2752 | − | 40.9386i | −0.548864 | − | 1.69260i | ||||
\(586\) | 1.16044 | − | 3.57146i | 0.0479373 | − | 0.147536i | ||||
\(587\) | −8.62688 | + | 9.58112i | −0.356070 | + | 0.395455i | −0.894392 | − | 0.447284i | \(-0.852392\pi\) |
0.538323 | + | 0.842739i | \(0.319058\pi\) | |||||||
\(588\) | 11.4990 | + | 3.55445i | 0.474209 | + | 0.146583i | ||||
\(589\) | −10.9923 | − | 12.2082i | −0.452931 | − | 0.503031i | ||||
\(590\) | 7.56621 | + | 5.84356i | 0.311496 | + | 0.240576i | ||||
\(591\) | 29.1731 | − | 27.0365i | 1.20002 | − | 1.11213i | ||||
\(592\) | −11.6581 | − | 5.19054i | −0.479146 | − | 0.213330i | ||||
\(593\) | 27.5686 | 1.13211 | 0.566053 | − | 0.824369i | \(-0.308470\pi\) | ||||
0.566053 | + | 0.824369i | \(0.308470\pi\) | |||||||
\(594\) | −1.62718 | + | 9.69170i | −0.0667639 | + | 0.397655i | ||||
\(595\) | 0.379599 | + | 0.704396i | 0.0155621 | + | 0.0288774i | ||||
\(596\) | −2.62516 | + | 24.9767i | −0.107531 | + | 1.02309i | ||||
\(597\) | −1.40104 | + | 7.09075i | −0.0573406 | + | 0.290205i | ||||
\(598\) | −5.16454 | − | 5.73580i | −0.211194 | − | 0.234554i | ||||
\(599\) | −23.0932 | + | 39.9986i | −0.943563 | + | 1.63430i | −0.184958 | + | 0.982746i | \(0.559215\pi\) |
−0.758604 | + | 0.651552i | \(0.774118\pi\) | |||||||
\(600\) | −11.1800 | + | 9.20418i | −0.456423 | + | 0.375759i | ||||
\(601\) | −20.7102 | − | 35.8711i | −0.844787 | − | 1.46321i | −0.885806 | − | 0.464056i | \(-0.846394\pi\) |
0.0410187 | − | 0.999158i | \(-0.486940\pi\) | |||||||
\(602\) | −1.88855 | + | 5.81235i | −0.0769714 | + | 0.236894i | ||||
\(603\) | −0.120438 | + | 0.410435i | −0.00490462 | + | 0.0167142i | ||||
\(604\) | −6.87348 | − | 4.99388i | −0.279678 | − | 0.203198i | ||||
\(605\) | −16.3841 | − | 3.98787i | −0.666107 | − | 0.162130i | ||||
\(606\) | −6.57608 | + | 3.92372i | −0.267135 | + | 0.159390i | ||||
\(607\) | −8.40346 | + | 14.5552i | −0.341086 | + | 0.590778i | −0.984635 | − | 0.174627i | \(-0.944128\pi\) |
0.643549 | + | 0.765405i | \(0.277461\pi\) | |||||||
\(608\) | −2.85802 | − | 27.1922i | −0.115908 | − | 1.10279i | ||||
\(609\) | 0.505154 | + | 2.21930i | 0.0204699 | + | 0.0899307i | ||||
\(610\) | 9.28611 | + | 2.26024i | 0.375984 | + | 0.0915143i | ||||
\(611\) | 0.983051 | − | 3.02552i | 0.0397700 | − | 0.122399i | ||||
\(612\) | 0.864837 | − | 0.667125i | 0.0349590 | − | 0.0269669i | ||||
\(613\) | −6.05434 | − | 18.6333i | −0.244532 | − | 0.752593i | −0.995713 | − | 0.0924965i | \(-0.970515\pi\) |
0.751181 | − | 0.660097i | \(-0.229485\pi\) | |||||||
\(614\) | 8.80597 | − | 1.87177i | 0.355380 | − | 0.0755383i | ||||
\(615\) | −42.5386 | + | 23.7188i | −1.71532 | + | 0.956436i | ||||
\(616\) | 12.5091 | + | 2.65889i | 0.504007 | + | 0.107130i | ||||
\(617\) | 0.681066 | + | 6.47991i | 0.0274187 | + | 0.260871i | 0.999641 | + | 0.0268101i | \(0.00853495\pi\) |
−0.972222 | + | 0.234061i | \(0.924798\pi\) | |||||||
\(618\) | −1.59356 | − | 3.44514i | −0.0641026 | − | 0.138584i | ||||
\(619\) | 34.1346 | + | 15.1977i | 1.37199 | + | 0.610848i | 0.954603 | − | 0.297882i | \(-0.0962801\pi\) |
0.417385 | + | 0.908730i | \(0.362947\pi\) | |||||||
\(620\) | 1.49540 | − | 11.0897i | 0.0600568 | − | 0.445374i | ||||
\(621\) | −14.0772 | + | 2.09613i | −0.564897 | + | 0.0841148i | ||||
\(622\) | 0.420441 | + | 0.305468i | 0.0168581 | + | 0.0122482i | ||||
\(623\) | −18.5521 | + | 3.94336i | −0.743273 | + | 0.157987i | ||||
\(624\) | 13.4341 | + | 29.0433i | 0.537793 | + | 1.16266i | ||||
\(625\) | −21.8058 | + | 12.2273i | −0.872232 | + | 0.489092i | ||||
\(626\) | 3.26038 | − | 5.64714i | 0.130311 | − | 0.225705i | ||||
\(627\) | −26.5163 | − | 35.4154i | −1.05896 | − | 1.41435i | ||||
\(628\) | 1.79697 | − | 17.0970i | 0.0717067 | − | 0.682244i | ||||
\(629\) | −0.722320 | − | 0.524796i | −0.0288008 | − | 0.0209250i | ||||
\(630\) | 1.62007 | − | 4.97613i | 0.0645451 | − | 0.198254i | ||||
\(631\) | 10.2656 | − | 7.45836i | 0.408665 | − | 0.296913i | −0.364396 | − | 0.931244i | \(-0.618725\pi\) |
0.773061 | + | 0.634331i | \(0.218725\pi\) | |||||||
\(632\) | −10.7594 | − | 18.6358i | −0.427986 | − | 0.741294i | ||||
\(633\) | 4.21505 | − | 2.51498i | 0.167533 | − | 0.0999613i | ||||
\(634\) | −0.150218 | − | 0.0319298i | −0.00596592 | − | 0.00126809i | ||||
\(635\) | −4.57184 | + | 3.12106i | −0.181428 | + | 0.123856i | ||||
\(636\) | −9.12682 | + | 21.3182i | −0.361902 | + | 0.845321i | ||||
\(637\) | −16.5076 | + | 18.3336i | −0.654057 | + | 0.726404i | ||||
\(638\) | −0.432401 | − | 1.33079i | −0.0171189 | − | 0.0526866i | ||||
\(639\) | −3.80181 | − | 6.16861i | −0.150397 | − | 0.244026i | ||||
\(640\) | 16.7692 | − | 17.5603i | 0.662859 | − | 0.694133i | ||||
\(641\) | 5.72176 | − | 6.35466i | 0.225996 | − | 0.250994i | −0.619474 | − | 0.785017i | \(-0.712654\pi\) |
0.845470 | + | 0.534024i | \(0.179321\pi\) | |||||||
\(642\) | 0.0776007 | + | 5.40145i | 0.00306266 | + | 0.213178i | ||||
\(643\) | 4.36268 | − | 7.55638i | 0.172047 | − | 0.297994i | −0.767088 | − | 0.641542i | \(-0.778295\pi\) |
0.939135 | + | 0.343547i | \(0.111629\pi\) | |||||||
\(644\) | 0.918932 | + | 8.74305i | 0.0362110 | + | 0.344524i | ||||
\(645\) | 28.7125 | + | 9.80625i | 1.13055 | + | 0.386121i | ||||
\(646\) | 0.0548719 | − | 0.522071i | 0.00215891 | − | 0.0205406i | ||||
\(647\) | −0.0235532 | − | 0.0171124i | −0.000925971 | − | 0.000672757i | 0.587322 | − | 0.809353i | \(-0.300182\pi\) |
−0.588248 | + | 0.808680i | \(0.700182\pi\) | |||||||
\(648\) | −14.8760 | − | 2.27838i | −0.584385 | − | 0.0895032i | ||||
\(649\) | −41.9137 | −1.64526 | ||||||||
\(650\) | −3.56116 | − | 13.6320i | −0.139680 | − | 0.534691i | ||||
\(651\) | 3.57658 | + | 7.73225i | 0.140177 | + | 0.303051i | ||||
\(652\) | −10.0359 | − | 11.1460i | −0.393036 | − | 0.436511i | ||||
\(653\) | 15.7626 | − | 7.01797i | 0.616839 | − | 0.274634i | −0.0744367 | − | 0.997226i | \(-0.523716\pi\) |
0.691275 | + | 0.722591i | \(0.257049\pi\) | |||||||
\(654\) | 0.414384 | − | 0.141254i | 0.0162037 | − | 0.00552347i | ||||
\(655\) | −1.35692 | + | 2.19878i | −0.0530194 | + | 0.0859136i | ||||
\(656\) | 29.2973 | − | 21.2858i | 1.14387 | − | 0.831069i | ||||
\(657\) | 5.41140 | − | 6.36876i | 0.211119 | − | 0.248469i | ||||
\(658\) | 0.312950 | − | 0.227372i | 0.0122001 | − | 0.00886387i | ||||
\(659\) | −25.1350 | + | 27.9153i | −0.979122 | + | 1.08743i | 0.0170360 | + | 0.999855i | \(0.494577\pi\) |
−0.996158 | + | 0.0875707i | \(0.972090\pi\) | |||||||
\(660\) | 6.70573 | − | 29.3809i | 0.261020 | − | 1.14365i | ||||
\(661\) | 33.5406 | + | 37.2506i | 1.30458 | + | 1.44888i | 0.817969 | + | 0.575263i | \(0.195100\pi\) |
0.486610 | + | 0.873619i | \(0.338233\pi\) | |||||||
\(662\) | −6.69604 | − | 1.42329i | −0.260249 | − | 0.0553176i | ||||
\(663\) | 0.496888 | + | 2.18299i | 0.0192975 | + | 0.0847802i | ||||
\(664\) | −5.61830 | + | 1.19421i | −0.218032 | + | 0.0463442i | ||||
\(665\) | 11.1767 | + | 20.7397i | 0.433412 | + | 0.804253i | ||||
\(666\) | 0.776946 | + | 5.78735i | 0.0301061 | + | 0.224255i | ||||
\(667\) | 1.63947 | − | 1.19114i | 0.0634804 | − | 0.0461212i | ||||
\(668\) | 12.8886 | + | 22.3237i | 0.498676 | + | 0.863732i | ||||
\(669\) | −0.516032 | − | 35.9188i | −0.0199510 | − | 1.38870i | ||||
\(670\) | −0.0471580 | + | 0.131854i | −0.00182187 | + | 0.00509396i | ||||
\(671\) | −38.2787 | + | 17.0428i | −1.47773 | + | 0.657930i | ||||
\(672\) | −2.74853 | + | 13.9105i | −0.106027 | + | 0.536609i | ||||
\(673\) | 4.67811 | − | 0.994364i | 0.180328 | − | 0.0383299i | −0.116862 | − | 0.993148i | \(-0.537284\pi\) |
0.297191 | + | 0.954818i | \(0.403950\pi\) | |||||||
\(674\) | 9.22544 | 0.355351 | ||||||||
\(675\) | −24.5814 | − | 8.41144i | −0.946140 | − | 0.323756i | ||||
\(676\) | −50.8875 | −1.95721 | ||||||||
\(677\) | 26.6936 | − | 5.67390i | 1.02592 | − | 0.218066i | 0.335930 | − | 0.941887i | \(-0.390949\pi\) |
0.689988 | + | 0.723821i | \(0.257616\pi\) | |||||||
\(678\) | 0.0404535 | − | 0.204738i | 0.00155361 | − | 0.00786292i | ||||
\(679\) | −25.7274 | + | 11.4546i | −0.987327 | + | 0.439587i | ||||
\(680\) | 0.622175 | − | 0.424741i | 0.0238593 | − | 0.0162881i | ||||
\(681\) | −0.0335717 | − | 2.33678i | −0.00128647 | − | 0.0895456i | ||||
\(682\) | −2.61876 | − | 4.53583i | −0.100278 | − | 0.173686i | ||||
\(683\) | −3.32056 | + | 2.41252i | −0.127058 | + | 0.0923127i | −0.649499 | − | 0.760362i | \(-0.725021\pi\) |
0.522441 | + | 0.852675i | \(0.325021\pi\) | |||||||
\(684\) | 25.4636 | − | 19.6424i | 0.973627 | − | 0.751045i | ||||
\(685\) | 18.5677 | − | 3.38110i | 0.709435 | − | 0.129185i | ||||
\(686\) | −8.27581 | + | 1.75908i | −0.315972 | + | 0.0671619i | ||||
\(687\) | −9.87348 | − | 43.3774i | −0.376697 | − | 1.65495i | ||||
\(688\) | −22.0666 | − | 4.69041i | −0.841282 | − | 0.178820i | ||||
\(689\) | −31.8058 | − | 35.3239i | −1.21170 | − | 1.34573i | ||||
\(690\) | −4.64062 | + | 0.417702i | −0.176665 | + | 0.0159016i | ||||
\(691\) | 12.5662 | − | 13.9562i | 0.478042 | − | 0.530920i | −0.455094 | − | 0.890444i | \(-0.650394\pi\) |
0.933136 | + | 0.359524i | \(0.117061\pi\) | |||||||
\(692\) | −31.5753 | + | 22.9408i | −1.20031 | + | 0.872077i | ||||
\(693\) | 7.71393 | + | 21.6081i | 0.293028 | + | 0.820824i | ||||
\(694\) | 1.42101 | − | 1.03243i | 0.0539409 | − | 0.0391903i | ||||
\(695\) | −0.587161 | − | 7.77227i | −0.0222723 | − | 0.294819i | ||||
\(696\) | 2.02824 | − | 0.691380i | 0.0768801 | − | 0.0262067i | ||||
\(697\) | 2.31459 | − | 1.03052i | 0.0876713 | − | 0.0390338i | ||||
\(698\) | −0.629274 | − | 0.698880i | −0.0238184 | − | 0.0264530i | ||||
\(699\) | −11.0307 | − | 23.8473i | −0.417218 | − | 0.901989i | ||||
\(700\) | −5.84502 | + | 14.9458i | −0.220921 | + | 0.564898i | ||||
\(701\) | 22.5412 | 0.851368 | 0.425684 | − | 0.904872i | \(-0.360033\pi\) | ||||
0.425684 | + | 0.904872i | \(0.360033\pi\) | |||||||
\(702\) | 8.08813 | − | 12.2056i | 0.305267 | − | 0.460671i | ||||
\(703\) | −21.2675 | − | 15.4517i | −0.802118 | − | 0.582773i | ||||
\(704\) | −1.68108 | + | 15.9944i | −0.0633579 | + | 0.602810i | ||||
\(705\) | −1.10545 | − | 1.57037i | −0.0416337 | − | 0.0591437i | ||||
\(706\) | 0.520579 | + | 4.95298i | 0.0195922 | + | 0.186408i | ||||
\(707\) | −8.93915 | + | 15.4831i | −0.336192 | + | 0.582301i | ||||
\(708\) | −0.437661 | − | 30.4637i | −0.0164483 | − | 1.14489i | ||||
\(709\) | −9.97932 | + | 11.0832i | −0.374781 | + | 0.416237i | −0.900799 | − | 0.434237i | \(-0.857018\pi\) |
0.526017 | + | 0.850474i | \(0.323685\pi\) | |||||||
\(710\) | −1.12537 | − | 2.08828i | −0.0422346 | − | 0.0783718i | ||||
\(711\) | 18.3348 | − | 33.9749i | 0.687609 | − | 1.27416i | ||||
\(712\) | 5.51790 | + | 16.9823i | 0.206792 | + | 0.636440i | ||||
\(713\) | 5.07549 | − | 5.63690i | 0.190078 | − | 0.211104i | ||||
\(714\) | −0.107144 | + | 0.250264i | −0.00400976 | + | 0.00936590i | ||||
\(715\) | 48.8887 | + | 37.7579i | 1.82833 | + | 1.41207i | ||||
\(716\) | −32.8354 | − | 6.97937i | −1.22712 | − | 0.260831i | ||||
\(717\) | 20.8385 | − | 12.4336i | 0.778229 | − | 0.464343i | ||||
\(718\) | −5.15985 | − | 8.93713i | −0.192564 | − | 0.333531i | ||||
\(719\) | −35.1450 | + | 25.5343i | −1.31069 | + | 0.952270i | −0.310689 | + | 0.950512i | \(0.600560\pi\) |
−0.999998 | + | 0.00175887i | \(0.999440\pi\) | |||||||
\(720\) | 18.8932 | + | 4.02744i | 0.704107 | + | 0.150094i | ||||
\(721\) | −7.16959 | − | 5.20901i | −0.267009 | − | 0.193994i | ||||
\(722\) | 0.743291 | − | 7.07194i | 0.0276624 | − | 0.263190i | ||||
\(723\) | 23.3577 | + | 31.1967i | 0.868683 | + | 1.16022i | ||||
\(724\) | −1.16457 | + | 2.01710i | −0.0432810 | + | 0.0749649i | ||||
\(725\) | 3.65731 | − | 0.555760i | 0.135829 | − | 0.0206404i | ||||
\(726\) | −2.40848 | − | 5.20691i | −0.0893870 | − | 0.193247i | ||||
\(727\) | 15.5641 | − | 3.30825i | 0.577241 | − | 0.122696i | 0.0899657 | − | 0.995945i | \(-0.471324\pi\) |
0.487275 | + | 0.873249i | \(0.337991\pi\) | |||||||
\(728\) | −15.4152 | − | 11.1998i | −0.571326 | − | 0.415093i | ||||
\(729\) | −10.5231 | − | 24.8649i | −0.389744 | − | 0.920923i | ||||
\(730\) | 1.88956 | − | 1.97871i | 0.0699356 | − | 0.0732352i | ||||
\(731\) | −1.44190 | − | 0.641974i | −0.0533305 | − | 0.0237443i | ||||
\(732\) | −12.7867 | − | 27.6437i | −0.472611 | − | 1.02174i | ||||
\(733\) | 1.63644 | + | 15.5697i | 0.0604433 | + | 0.575080i | 0.982269 | + | 0.187476i | \(0.0600306\pi\) |
−0.921826 | + | 0.387604i | \(0.873303\pi\) | |||||||
\(734\) | −8.75636 | − | 1.86122i | −0.323203 | − | 0.0686990i | ||||
\(735\) | 2.87828 | + | 14.6122i | 0.106167 | + | 0.538979i | ||||
\(736\) | 12.3487 | − | 2.62480i | 0.455180 | − | 0.0967516i | ||||
\(737\) | −0.189718 | − | 0.583893i | −0.00698836 | − | 0.0215080i | ||||
\(738\) | −15.3251 | − | 6.30210i | −0.564124 | − | 0.231984i | ||||
\(739\) | −11.5329 | + | 35.4945i | −0.424243 | + | 1.30569i | 0.479473 | + | 0.877556i | \(0.340828\pi\) |
−0.903717 | + | 0.428131i | \(0.859172\pi\) | |||||||
\(740\) | −1.34892 | − | 17.8557i | −0.0495873 | − | 0.656390i | ||||
\(741\) | 14.6300 | + | 64.2743i | 0.537447 | + | 2.36118i | ||||
\(742\) | −0.604163 | − | 5.74823i | −0.0221795 | − | 0.211024i | ||||
\(743\) | 5.72347 | − | 9.91334i | 0.209974 | − | 0.363685i | −0.741732 | − | 0.670696i | \(-0.765995\pi\) |
0.951706 | + | 0.307011i | \(0.0993288\pi\) | |||||||
\(744\) | 6.88779 | − | 4.10971i | 0.252518 | − | 0.150669i | ||||
\(745\) | −28.7478 | + | 11.8022i | −1.05324 | + | 0.432400i | ||||
\(746\) | −10.9622 | − | 7.96449i | −0.401354 | − | 0.291601i | ||||
\(747\) | −7.11245 | − | 7.45677i | −0.260231 | − | 0.272829i | ||||
\(748\) | −0.484450 | + | 1.49098i | −0.0177132 | + | 0.0545158i | ||||
\(749\) | 6.30599 | + | 10.9223i | 0.230416 | + | 0.399092i | ||||
\(750\) | −7.87413 | − | 3.21597i | −0.287523 | − | 0.117431i | ||||
\(751\) | 12.6924 | − | 21.9839i | 0.463152 | − | 0.802203i | −0.535964 | − | 0.844241i | \(-0.680052\pi\) |
0.999116 | + | 0.0420379i | \(0.0133850\pi\) | |||||||
\(752\) | 0.955465 | + | 1.06115i | 0.0348422 | + | 0.0386962i | ||||
\(753\) | 0.155848 | − | 0.788760i | 0.00567943 | − | 0.0287440i | ||||
\(754\) | −0.217926 | + | 2.07343i | −0.00793639 | + | 0.0755097i | ||||
\(755\) | 1.40492 | − | 10.4187i | 0.0511301 | − | 0.379175i | ||||
\(756\) | −15.6246 | + | 5.83226i | −0.568262 | + | 0.212117i | ||||
\(757\) | −15.8030 | −0.574370 | −0.287185 | − | 0.957875i | \(-0.592719\pi\) | ||||
−0.287185 | + | 0.957875i | \(0.592719\pi\) | |||||||
\(758\) | −12.9872 | − | 5.78226i | −0.471716 | − | 0.210021i | ||||
\(759\) | 14.9830 | − | 13.8856i | 0.543847 | − | 0.504015i | ||||
\(760\) | 18.3189 | − | 12.5058i | 0.664495 | − | 0.453632i | ||||
\(761\) | −27.7983 | − | 30.8732i | −1.00769 | − | 1.11915i | −0.992863 | − | 0.119262i | \(-0.961947\pi\) |
−0.0148259 | − | 0.999890i | \(-0.504719\pi\) | |||||||
\(762\) | −1.79933 | − | 0.556191i | −0.0651828 | − | 0.0201487i | ||||
\(763\) | 0.683930 | − | 0.759582i | 0.0247599 | − | 0.0274987i | ||||
\(764\) | 0.865533 | − | 2.66384i | 0.0313139 | − | 0.0963742i | ||||
\(765\) | 1.23437 | + | 0.550443i | 0.0446286 | + | 0.0199013i | ||||
\(766\) | 4.65808 | + | 14.3361i | 0.168303 | + | 0.517984i | ||||
\(767\) | 57.0502 | + | 25.4004i | 2.05996 | + | 0.917154i | ||||
\(768\) | −4.65822 | − | 0.422038i | −0.168089 | − | 0.0152290i | ||||
\(769\) | −2.57264 | − | 24.4770i | −0.0927717 | − | 0.882664i | −0.937621 | − | 0.347659i | \(-0.886977\pi\) |
0.844849 | − | 0.535005i | \(-0.179690\pi\) | |||||||
\(770\) | 2.11072 | + | 7.20864i | 0.0760650 | + | 0.259781i | ||||
\(771\) | 35.2031 | + | 30.7930i | 1.26781 | + | 1.10898i | ||||
\(772\) | 2.16758 | − | 20.6232i | 0.0780130 | − | 0.742244i | ||||
\(773\) | −17.0063 | + | 52.3400i | −0.611674 | + | 1.88254i | −0.169747 | + | 0.985488i | \(0.554295\pi\) |
−0.441927 | + | 0.897051i | \(0.645705\pi\) | |||||||
\(774\) | 3.47059 | + | 9.72174i | 0.124748 | + | 0.349441i | ||||
\(775\) | 12.9577 | − | 4.88094i | 0.465456 | − | 0.175329i | ||||
\(776\) | 13.2568 | + | 22.9615i | 0.475892 | + | 0.824270i | ||||
\(777\) | 8.17080 | + | 10.9130i | 0.293126 | + | 0.391500i | ||||
\(778\) | −1.65496 | + | 0.736836i | −0.0593333 | + | 0.0264169i | ||||
\(779\) | 68.1491 | − | 30.3419i | 2.44169 | − | 1.08711i | ||||
\(780\) | −26.9326 | + | 35.9275i | −0.964343 | + | 1.28641i | ||||
\(781\) | 9.50121 | + | 4.23021i | 0.339980 | + | 0.151369i | ||||
\(782\) | 0.242384 | 0.00866763 | ||||||||
\(783\) | 2.96514 | + | 2.44695i | 0.105965 | + | 0.0874467i | ||||
\(784\) | −3.42190 | − | 10.5315i | −0.122211 | − | 0.376126i | ||||
\(785\) | 19.6784 | − | 8.07882i | 0.702352 | − | 0.288345i | ||||
\(786\) | −0.872832 | + | 0.104436i | −0.0311329 | + | 0.00372510i | ||||
\(787\) | −34.8320 | − | 7.40376i | −1.24163 | − | 0.263916i | −0.460144 | − | 0.887844i | \(-0.652202\pi\) |
−0.781481 | + | 0.623929i | \(0.785536\pi\) | |||||||
\(788\) | −40.5911 | − | 8.62790i | −1.44600 | − | 0.307356i | ||||
\(789\) | 8.85992 | + | 11.8334i | 0.315422 | + | 0.421279i | ||||
\(790\) | 6.63761 | − | 10.7557i | 0.236156 | − | 0.382671i | ||||
\(791\) | −0.150565 | − | 0.463393i | −0.00535349 | − | 0.0164763i | ||||
\(792\) | 19.4727 | − | 9.34906i | 0.691932 | − | 0.332204i | ||||
\(793\) | 62.4306 | 2.21698 | ||||||||
\(794\) | −7.82298 | − | 3.48302i | −0.277627 | − | 0.123608i | ||||
\(795\) | −28.5792 | + | 2.57242i | −1.01360 | + | 0.0912342i | ||||
\(796\) | 6.88899 | − | 3.06717i | 0.244174 | − | 0.108713i | ||||
\(797\) | 19.7375 | − | 8.78769i | 0.699137 | − | 0.311276i | −0.0262126 | − | 0.999656i | \(-0.508345\pi\) |
0.725350 | + | 0.688380i | \(0.241678\pi\) | |||||||
\(798\) | −3.15467 | + | 7.36860i | −0.111674 | + | 0.260845i | ||||
\(799\) | 0.0499513 | + | 0.0865182i | 0.00176715 | + | 0.00306079i | ||||
\(800\) | 22.2227 | + | 6.10427i | 0.785691 | + | 0.215818i | ||||
\(801\) | −20.7433 | + | 24.4131i | −0.732928 | + | 0.862595i | ||||
\(802\) | −2.85129 | + | 8.77538i | −0.100683 | + | 0.309870i | ||||
\(803\) | −1.25385 | + | 11.9296i | −0.0442475 | + | 0.420987i | ||||
\(804\) | 0.422403 | − | 0.143988i | 0.0148970 | − | 0.00507805i | ||||
\(805\) | −8.98427 | + | 6.13331i | −0.316654 | + | 0.216171i | ||||
\(806\) | 0.815701 | + | 7.76087i | 0.0287318 | + | 0.273365i | ||||
\(807\) | −0.854570 | − | 1.84750i | −0.0300823 | − | 0.0650352i | ||||
\(808\) | 15.3766 | + | 6.84610i | 0.540947 | + | 0.240845i | ||||
\(809\) | −5.39556 | − | 16.6058i | −0.189698 | − | 0.583830i | 0.810300 | − | 0.586016i | \(-0.199304\pi\) |
−0.999998 | + | 0.00218564i | \(0.999304\pi\) | |||||||
\(810\) | −2.96696 | − | 8.32641i | −0.104249 | − | 0.292560i | ||||
\(811\) | 6.07813 | − | 18.7066i | 0.213432 | − | 0.656876i | −0.785829 | − | 0.618444i | \(-0.787764\pi\) |
0.999261 | − | 0.0384326i | \(-0.0122365\pi\) | |||||||
\(812\) | 1.58896 | − | 1.76472i | 0.0557616 | − | 0.0619296i | ||||
\(813\) | 10.4633 | − | 9.69693i | 0.366963 | − | 0.340086i | ||||
\(814\) | −5.60811 | − | 6.22843i | −0.196564 | − | 0.218306i | ||||
\(815\) | 6.24995 | − | 17.4749i | 0.218926 | − | 0.612118i | ||||
\(816\) | −0.960095 | − | 0.296775i | −0.0336100 | − | 0.0103892i | ||||
\(817\) | −42.4542 | − | 18.9018i | −1.48529 | − | 0.661292i | ||||
\(818\) | 2.98236 | 0.104276 | ||||||||
\(819\) | 2.59516 | − | 34.0863i | 0.0906822 | − | 1.19107i | ||||
\(820\) | 45.7953 | + | 22.0199i | 1.59924 | + | 0.768967i | ||||
\(821\) | 3.29630 | − | 31.3622i | 0.115042 | − | 1.09455i | −0.772879 | − | 0.634553i | \(-0.781184\pi\) |
0.887921 | − | 0.459996i | \(-0.152149\pi\) | |||||||
\(822\) | 4.83298 | + | 4.22751i | 0.168569 | + | 0.147451i | ||||
\(823\) | 16.3827 | + | 18.1948i | 0.571064 | + | 0.634230i | 0.957620 | − | 0.288036i | \(-0.0930021\pi\) |
−0.386556 | + | 0.922266i | \(0.626335\pi\) | |||||||
\(824\) | −4.17167 | + | 7.22555i | −0.145327 | + | 0.251714i | ||||
\(825\) | 35.9406 | − | 9.94260i | 1.25129 | − | 0.346157i | ||||
\(826\) | 3.79683 | + | 6.57630i | 0.132109 | + | 0.228819i | ||||
\(827\) | −14.6947 | + | 45.2257i | −0.510985 | + | 1.57265i | 0.279484 | + | 0.960150i | \(0.409836\pi\) |
−0.790470 | + | 0.612501i | \(0.790164\pi\) | |||||||
\(828\) | 10.2488 | + | 10.7449i | 0.356169 | + | 0.373411i | ||||
\(829\) | −26.8175 | − | 19.4840i | −0.931409 | − | 0.676708i | 0.0149285 | − | 0.999889i | \(-0.495248\pi\) |
−0.946337 | + | 0.323180i | \(0.895248\pi\) | |||||||
\(830\) | −2.18292 | − | 2.57216i | −0.0757701 | − | 0.0892811i | ||||
\(831\) | −0.234521 | − | 16.3240i | −0.00813545 | − | 0.566274i | ||||
\(832\) | 11.9810 | − | 20.7517i | 0.415366 | − | 0.719436i | ||||
\(833\) | −0.0809827 | − | 0.770498i | −0.00280588 | − | 0.0266962i | ||||
\(834\) | 1.94500 | − | 1.80255i | 0.0673499 | − | 0.0624172i | ||||
\(835\) | −16.7511 | + | 27.1439i | −0.579697 | + | 0.939352i | ||||
\(836\) | −14.2638 | + | 43.8995i | −0.493324 | + | 1.51829i | ||||
\(837\) | 12.7603 | + | 6.65129i | 0.441060 | + | 0.229902i | ||||
\(838\) | 4.55300 | + | 14.0127i | 0.157281 | + | 0.484060i | ||||
\(839\) | 53.9961 | − | 11.4772i | 1.86415 | − | 0.396238i | 0.869020 | − | 0.494777i | \(-0.164750\pi\) |
0.995133 | + | 0.0985388i | \(0.0314169\pi\) | |||||||
\(840\) | −10.9916 | + | 3.39057i | −0.379248 | + | 0.116986i | ||||
\(841\) | 27.8308 | + | 5.91563i | 0.959684 | + | 0.203987i | ||||
\(842\) | −1.05749 | − | 10.0614i | −0.0364437 | − | 0.346738i | ||||
\(843\) | −15.0590 | + | 21.3657i | −0.518658 | + | 0.735875i | ||||
\(844\) | −4.67823 | − | 2.08288i | −0.161031 | − | 0.0716957i | ||||
\(845\) | −29.8719 | − | 55.4312i | −1.02762 | − | 1.90689i | ||||
\(846\) | 0.183970 | − | 0.626942i | 0.00632502 | − | 0.0215547i | ||||
\(847\) | −10.8360 | − | 7.87279i | −0.372328 | − | 0.270512i | ||||
\(848\) | 20.8694 | − | 4.43593i | 0.716658 | − | 0.152330i | ||||
\(849\) | −40.2429 | − | 3.64604i | −1.38113 | − | 0.125132i | ||||
\(850\) | 0.392970 | + | 0.203344i | 0.0134788 | + | 0.00697465i | ||||
\(851\) | 6.06899 | − | 10.5118i | 0.208042 | − | 0.360340i | ||||
\(852\) | −2.97539 | + | 6.94983i | −0.101935 | + | 0.238097i | ||||
\(853\) | −1.64733 | + | 15.6733i | −0.0564036 | + | 0.536644i | 0.929440 | + | 0.368974i | \(0.120291\pi\) |
−0.985843 | + | 0.167670i | \(0.946376\pi\) | |||||||
\(854\) | 6.14158 | + | 4.46212i | 0.210160 | + | 0.152690i | ||||
\(855\) | 36.3438 | + | 16.2068i | 1.24293 | + | 0.554262i | ||||
\(856\) | 9.60604 | − | 6.97920i | 0.328328 | − | 0.238544i | ||||
\(857\) | −14.8902 | − | 25.7906i | −0.508640 | − | 0.880990i | −0.999950 | − | 0.0100052i | \(-0.996815\pi\) |
0.491310 | − | 0.870985i | \(-0.336518\pi\) | |||||||
\(858\) | 0.301900 | + | 21.0140i | 0.0103067 | + | 0.717406i | ||||
\(859\) | 1.52513 | + | 0.324175i | 0.0520366 | + | 0.0110607i | 0.233856 | − | 0.972271i | \(-0.424865\pi\) |
−0.181820 | + | 0.983332i | \(0.558199\pi\) | |||||||
\(860\) | −8.89531 | − | 30.3798i | −0.303328 | − | 1.03594i | ||||
\(861\) | −38.4124 | + | 4.59610i | −1.30909 | + | 0.156635i | ||||
\(862\) | −5.77328 | + | 6.41188i | −0.196639 | + | 0.218390i | ||||
\(863\) | −2.62898 | − | 8.09117i | −0.0894915 | − | 0.275427i | 0.896287 | − | 0.443474i | \(-0.146254\pi\) |
−0.985779 | + | 0.168047i | \(0.946254\pi\) | |||||||
\(864\) | 10.6749 | + | 21.4394i | 0.363168 | + | 0.729382i | ||||
\(865\) | −43.5244 | − | 20.9279i | −1.47987 | − | 0.711571i | ||||
\(866\) | −0.453186 | + | 0.503314i | −0.0153999 | + | 0.0171033i | ||||
\(867\) | 25.6475 | + | 14.3203i | 0.871034 | + | 0.486344i | ||||
\(868\) | 4.44421 | − | 7.69760i | 0.150846 | − | 0.261273i | ||||
\(869\) | 5.79217 | + | 55.1088i | 0.196486 | + | 1.86944i | ||||
\(870\) | 0.922614 | + | 0.856047i | 0.0312795 | + | 0.0290227i | ||||
\(871\) | −0.0956162 | + | 0.909728i | −0.00323983 | + | 0.0308249i | ||||
\(872\) | −0.778507 | − | 0.565618i | −0.0263636 | − | 0.0191543i | ||||
\(873\) | −22.5906 | + | 41.8611i | −0.764576 | + | 1.41678i | ||||
\(874\) | 7.13657 | 0.241398 | ||||||||
\(875\) | −19.7114 | + | 2.40654i | −0.666367 | + | 0.0813558i | ||||
\(876\) | −8.68375 | − | 0.786755i | −0.293397 | − | 0.0265820i | ||||
\(877\) | 8.51710 | + | 9.45919i | 0.287602 | + | 0.319414i | 0.869582 | − | 0.493789i | \(-0.164388\pi\) |
−0.581980 | + | 0.813203i | \(0.697722\pi\) | |||||||
\(878\) | −1.38699 | + | 0.617527i | −0.0468086 | + | 0.0208405i | ||||
\(879\) | −11.1461 | − | 9.74976i | −0.375949 | − | 0.328851i | ||||
\(880\) | −25.6495 | + | 10.5302i | −0.864643 | + | 0.354973i | ||||
\(881\) | 3.42753 | − | 2.49025i | 0.115477 | − | 0.0838986i | −0.528548 | − | 0.848903i | \(-0.677263\pi\) |
0.644025 | + | 0.765005i | \(0.277263\pi\) | |||||||
\(882\) | −3.28086 | + | 3.86130i | −0.110472 | + | 0.130017i | ||||
\(883\) | 27.7814 | − | 20.1844i | 0.934919 | − | 0.679258i | −0.0122733 | − | 0.999925i | \(-0.503907\pi\) |
0.947192 | + | 0.320666i | \(0.103907\pi\) | |||||||
\(884\) | 1.56296 | − | 1.73584i | 0.0525680 | − | 0.0583827i | ||||
\(885\) | 32.9268 | − | 18.3595i | 1.10682 | − | 0.617146i | ||||
\(886\) | −6.70133 | − | 7.44258i | −0.225136 | − | 0.250038i | ||||
\(887\) | 27.4913 | + | 5.84345i | 0.923067 | + | 0.196204i | 0.644845 | − | 0.764313i | \(-0.276922\pi\) |
0.278221 | + | 0.960517i | \(0.410255\pi\) | |||||||
\(888\) | 9.41379 | − | 8.72431i | 0.315906 | − | 0.292769i | ||||
\(889\) | −4.30089 | + | 0.914183i | −0.144247 | + | 0.0306607i | ||||
\(890\) | −7.24316 | + | 7.58489i | −0.242791 | + | 0.254246i | ||||
\(891\) | 32.6086 | + | 20.9405i | 1.09243 | + | 0.701534i | ||||
\(892\) | −30.3208 | + | 22.0294i | −1.01522 | + | 0.737598i | ||||
\(893\) | 1.47073 | + | 2.54738i | 0.0492161 | + | 0.0852448i | ||||
\(894\) | −9.23132 | − | 5.15433i | −0.308742 | − | 0.172387i | ||||
\(895\) | −11.6724 | − | 39.8642i | −0.390165 | − | 1.33251i | ||||
\(896\) | 17.6193 | − | 7.84461i | 0.588619 | − | 0.262070i | ||||
\(897\) | −28.8087 | + | 9.82024i | −0.961894 | + | 0.327888i | ||||
\(898\) | 8.52897 | − | 1.81289i | 0.284615 | − | 0.0604969i | ||||
\(899\) | −2.04890 | −0.0683347 | ||||||||
\(900\) | 7.60175 | + | 26.0185i | 0.253392 | + | 0.867282i | ||||
\(901\) | 1.49272 | 0.0497297 | ||||||||
\(902\) | 23.2638 | − | 4.94488i | 0.774601 | − | 0.164647i | ||||
\(903\) | 18.1397 | + | 15.8672i | 0.603651 | + | 0.528027i | ||||
\(904\) | −0.419060 | + | 0.186578i | −0.0139377 | + | 0.00620548i | ||||
\(905\) | −2.88083 | − | 0.0844826i | −0.0957619 | − | 0.00280830i | ||||
\(906\) | 3.07155 | − | 1.83269i | 0.102045 | − | 0.0608870i | ||||
\(907\) | 20.9176 | + | 36.2304i | 0.694558 | + | 1.20301i | 0.970329 | + | 0.241787i | \(0.0777334\pi\) |
−0.275771 | + | 0.961223i | \(0.588933\pi\) | |||||||
\(908\) | −1.97259 | + | 1.43317i | −0.0654628 | + | 0.0475615i | ||||
\(909\) | 4.01795 | + | 29.9291i | 0.133267 | + | 0.992685i | ||||
\(910\) | 1.49558 | − | 11.0910i | 0.0495780 | − | 0.367664i | ||||
\(911\) | −13.2848 | + | 2.82377i | −0.440144 | + | 0.0935556i | −0.422653 | − | 0.906291i | \(-0.638901\pi\) |
−0.0174911 | + | 0.999847i | \(0.505568\pi\) | |||||||
\(912\) | −28.2683 | − | 8.73803i | −0.936058 | − | 0.289345i | ||||
\(913\) | 14.4675 | + | 3.07516i | 0.478804 | + | 0.101773i | ||||
\(914\) | −2.25955 | − | 2.50949i | −0.0747394 | − | 0.0830065i | ||||
\(915\) | 22.6060 | − | 30.1558i | 0.747330 | − | 0.996920i | ||||
\(916\) | −31.0570 | + | 34.4923i | −1.02615 | + | 1.13966i | ||||
\(917\) | −1.66036 | + | 1.20632i | −0.0548300 | + | 0.0398363i | ||||
\(918\) | 0.114892 | + | 0.445237i | 0.00379199 | + | 0.0146950i | ||||
\(919\) | −17.5681 | + | 12.7639i | −0.579517 | + | 0.421044i | −0.838550 | − | 0.544825i | \(-0.816596\pi\) |
0.259033 | + | 0.965868i | \(0.416596\pi\) | |||||||
\(920\) | 6.62679 | + | 7.80846i | 0.218479 | + | 0.257437i | ||||
\(921\) | 6.88157 | − | 34.8281i | 0.226755 | − | 1.14763i | ||||
\(922\) | −2.18351 | + | 0.972159i | −0.0719099 | + | 0.0320164i | ||||
\(923\) | −10.3688 | − | 11.5158i | −0.341295 | − | 0.379046i | ||||
\(924\) | 13.7905 | − | 19.5661i | 0.453676 | − | 0.643677i | ||||
\(925\) | 18.6582 | − | 11.9510i | 0.613478 | − | 0.392946i | ||||
\(926\) | −2.59409 | −0.0852471 | ||||||||
\(927\) | −14.9625 | + | 0.430010i | −0.491432 | + | 0.0141234i | ||||
\(928\) | −2.75886 | − | 2.00443i | −0.0905640 | − | 0.0657986i | ||||
\(929\) | −1.29341 | + | 12.3060i | −0.0424353 | + | 0.403745i | 0.952600 | + | 0.304225i | \(0.0983975\pi\) |
−0.995036 | + | 0.0995202i | \(0.968269\pi\) | |||||||
\(930\) | 4.04409 | + | 2.41618i | 0.132611 | + | 0.0792298i | ||||
\(931\) | −2.38440 | − | 22.6860i | −0.0781454 | − | 0.743504i | ||||
\(932\) | −13.7066 | + | 23.7404i | −0.448973 | + | 0.777644i | ||||
\(933\) | 1.75991 | − | 1.05008i | 0.0576167 | − | 0.0343779i | ||||
\(934\) | 7.24389 | − | 8.04516i | 0.237027 | − | 0.263246i | ||||
\(935\) | −1.90849 | + | 0.347528i | −0.0624144 | + | 0.0113654i | ||||
\(936\) | −32.1706 | + | 0.924558i | −1.05153 | + | 0.0302201i | ||||
\(937\) | 10.4055 | + | 32.0249i | 0.339934 | + | 1.04621i | 0.964241 | + | 0.265029i | \(0.0853815\pi\) |
−0.624307 | + | 0.781179i | \(0.714619\pi\) | |||||||
\(938\) | −0.0744273 | + | 0.0826599i | −0.00243014 | + | 0.00269894i | ||||
\(939\) | −15.4117 | − | 20.5839i | −0.502940 | − | 0.671730i | ||||
\(940\) | −0.674749 | + | 1.88660i | −0.0220079 | + | 0.0615341i | ||||
\(941\) | 6.56245 | + | 1.39489i | 0.213930 | + | 0.0454722i | 0.313630 | − | 0.949545i | \(-0.398455\pi\) |
−0.0996999 | + | 0.995018i | \(0.531788\pi\) | |||||||
\(942\) | 6.31900 | + | 3.52823i | 0.205884 | + | 0.114956i | ||||
\(943\) | 17.2222 | + | 29.8297i | 0.560831 | + | 0.971388i | ||||
\(944\) | −22.6775 | + | 16.4761i | −0.738089 | + | 0.536253i | ||||
\(945\) | −15.5249 | − | 13.5961i | −0.505026 | − | 0.442281i | ||||
\(946\) | −11.9866 | − | 8.70876i | −0.389718 | − | 0.283146i | ||||
\(947\) | −5.03469 | + | 47.9018i | −0.163605 | + | 1.55660i | 0.537328 | + | 0.843373i | \(0.319434\pi\) |
−0.700933 | + | 0.713227i | \(0.747233\pi\) | |||||||
\(948\) | −39.9936 | + | 4.78530i | −1.29893 | + | 0.155419i | ||||
\(949\) | 8.93619 | − | 15.4779i | 0.290081 | − | 0.502435i | ||||
\(950\) | 11.5703 | + | 5.98713i | 0.375391 | + | 0.194248i | ||||
\(951\) | −0.348892 | + | 0.495010i | −0.0113136 | + | 0.0160518i | ||||
\(952\) | 0.585302 | − | 0.124410i | 0.0189697 | − | 0.00403214i | ||||
\(953\) | −0.957332 | − | 0.695542i | −0.0310110 | − | 0.0225308i | 0.572172 | − | 0.820134i | \(-0.306101\pi\) |
−0.603183 | + | 0.797603i | \(0.706101\pi\) | |||||||
\(954\) | −6.73818 | − | 7.06437i | −0.218157 | − | 0.228717i | ||||
\(955\) | 3.40977 | − | 0.620904i | 0.110338 | − | 0.0200920i | ||||
\(956\) | −23.1284 | − | 10.2974i | −0.748026 | − | 0.333043i | ||||
\(957\) | −5.49544 | − | 0.497891i | −0.177642 | − | 0.0160945i | ||||
\(958\) | 0.731088 | + | 6.95584i | 0.0236204 | + | 0.224733i | ||||
\(959\) | 14.6635 | + | 3.11681i | 0.473508 | + | 0.100647i | ||||
\(960\) | −5.68538 | − | 13.3013i | −0.183495 | − | 0.429298i | ||||
\(961\) | 22.8211 | − | 4.85077i | 0.736164 | − | 0.156477i | ||||
\(962\) | 3.85885 | + | 11.8763i | 0.124414 | + | 0.382908i | ||||
\(963\) | 19.7016 | + | 8.10184i | 0.634875 | + | 0.261078i | ||||
\(964\) | 12.5647 | − | 38.6702i | 0.404682 | − | 1.24548i | ||||
\(965\) | 23.7370 | − | 9.74504i | 0.764120 | − | 0.313704i | ||||
\(966\) | −3.53592 | − | 1.09299i | −0.113766 | − | 0.0351663i | ||||
\(967\) | 2.40981 | + | 22.9278i | 0.0774943 | + | 0.737309i | 0.962418 | + | 0.271573i | \(0.0875438\pi\) |
−0.884924 | + | 0.465736i | \(0.845789\pi\) | |||||||
\(968\) | −6.30498 | + | 10.9205i | −0.202650 | + | 0.350999i | ||||
\(969\) | −1.80743 | − | 1.00919i | −0.0580632 | − | 0.0324197i | ||||
\(970\) | −8.17831 | + | 13.2523i | −0.262590 | + | 0.425505i | ||||
\(971\) | 5.11486 | + | 3.71616i | 0.164144 | + | 0.119257i | 0.666825 | − | 0.745215i | \(-0.267653\pi\) |
−0.502681 | + | 0.864472i | \(0.667653\pi\) | |||||||
\(972\) | −14.8795 | + | 23.9192i | −0.477259 | + | 0.767209i | ||||
\(973\) | 1.91318 | − | 5.88817i | 0.0613338 | − | 0.188766i | ||||
\(974\) | 6.96469 | + | 12.0632i | 0.223163 | + | 0.386530i | ||||
\(975\) | −54.9453 | − | 8.24735i | −1.75966 | − | 0.264127i | ||||
\(976\) | −14.0113 | + | 24.2683i | −0.448490 | + | 0.776808i | ||||
\(977\) | 22.8910 | + | 25.4230i | 0.732348 | + | 0.813355i | 0.988169 | − | 0.153369i | \(-0.0490124\pi\) |
−0.255821 | + | 0.966724i | \(0.582346\pi\) | |||||||
\(978\) | 5.97647 | − | 2.03724i | 0.191106 | − | 0.0651439i | ||||
\(979\) | 4.80634 | − | 45.7293i | 0.153611 | − | 1.46151i | ||||
\(980\) | 10.7311 | − | 11.2374i | 0.342791 | − | 0.358964i | ||||
\(981\) | 0.131062 | − | 1.72144i | 0.00418448 | − | 0.0549613i | ||||
\(982\) | 9.92146 | 0.316606 | ||||||||
\(983\) | 48.5545 | + | 21.6178i | 1.54865 | + | 0.689502i | 0.990151 | − | 0.140005i | \(-0.0447118\pi\) |
0.558496 | + | 0.829507i | \(0.311378\pi\) | |||||||
\(984\) | 8.08352 | + | 35.5135i | 0.257693 | + | 1.13213i | ||||
\(985\) | −14.4294 | − | 49.2801i | −0.459759 | − | 1.57019i | ||||
\(986\) | −0.0438095 | − | 0.0486554i | −0.00139518 | − | 0.00154950i | ||||
\(987\) | −0.338556 | − | 1.48738i | −0.0107763 | − | 0.0473439i | ||||
\(988\) | 46.0187 | − | 51.1089i | 1.46405 | − | 1.62599i | ||||
\(989\) | 6.63073 | − | 20.4073i | 0.210845 | − | 0.648914i | ||||
\(990\) | 10.2597 | + | 7.46328i | 0.326074 | + | 0.237199i | ||||
\(991\) | −13.5962 | − | 41.8449i | −0.431899 | − | 1.32925i | −0.896232 | − | 0.443586i | \(-0.853706\pi\) |
0.464333 | − | 0.885661i | \(-0.346294\pi\) | |||||||
\(992\) | −11.6607 | − | 5.19167i | −0.370227 | − | 0.164836i | ||||
\(993\) | −15.5520 | + | 22.0653i | −0.493529 | + | 0.700221i | ||||
\(994\) | −0.196960 | − | 1.87395i | −0.00624719 | − | 0.0594381i | ||||
\(995\) | 7.38499 | + | 5.70361i | 0.234120 | + | 0.180817i | ||||
\(996\) | −2.08401 | + | 10.5474i | −0.0660345 | + | 0.334206i | ||||
\(997\) | −1.43885 | + | 13.6897i | −0.0455687 | + | 0.433558i | 0.947824 | + | 0.318794i | \(0.103278\pi\) |
−0.993393 | + | 0.114764i | \(0.963389\pi\) | |||||||
\(998\) | 2.64512 | − | 8.14084i | 0.0837298 | − | 0.257694i | ||||
\(999\) | 22.1860 | + | 6.16553i | 0.701933 | + | 0.195069i |
(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 | 225.2.q.a.121.18 | yes | 224 | |
3.2 | odd | 2 | 675.2.r.a.496.11 | 224 | |||
9.2 | odd | 6 | 675.2.r.a.46.18 | 224 | |||
9.7 | even | 3 | inner | 225.2.q.a.196.11 | yes | 224 | |
25.6 | even | 5 | inner | 225.2.q.a.31.11 | ✓ | 224 | |
75.56 | odd | 10 | 675.2.r.a.631.18 | 224 | |||
225.56 | odd | 30 | 675.2.r.a.181.11 | 224 | |||
225.106 | even | 15 | inner | 225.2.q.a.106.18 | yes | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
225.2.q.a.31.11 | ✓ | 224 | 25.6 | even | 5 | inner | |
225.2.q.a.106.18 | yes | 224 | 225.106 | even | 15 | inner | |
225.2.q.a.121.18 | yes | 224 | 1.1 | even | 1 | trivial | |
225.2.q.a.196.11 | yes | 224 | 9.7 | even | 3 | inner | |
675.2.r.a.46.18 | 224 | 9.2 | odd | 6 | |||
675.2.r.a.181.11 | 224 | 225.56 | odd | 30 | |||
675.2.r.a.496.11 | 224 | 3.2 | odd | 2 | |||
675.2.r.a.631.18 | 224 | 75.56 | odd | 10 |