Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [798,2,Mod(325,798)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(798, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 3, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("798.325");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 798 = 2 \cdot 3 \cdot 7 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 798.ca (of order \(18\), degree \(6\), 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: | \(6.37206208130\) |
Analytic rank: | \(0\) |
Dimension: | \(84\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 451.10 | ||
Character | \(\chi\) | \(=\) | 798.451 |
Dual form | 798.2.ca.b.775.10 |
$q$-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 \(\left(\mathbb{Z}/798\mathbb{Z}\right)^\times\).
\(n\) | \(115\) | \(211\) | \(533\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{7}{18}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.642788 | − | 0.766044i | 0.454519 | − | 0.541675i | ||||
\(3\) | 0.766044 | + | 0.642788i | 0.442276 | + | 0.371114i | ||||
\(4\) | −0.173648 | − | 0.984808i | −0.0868241 | − | 0.492404i | ||||
\(5\) | −1.97928 | − | 0.349000i | −0.885159 | − | 0.156077i | −0.287455 | − | 0.957794i | \(-0.592809\pi\) |
−0.597704 | + | 0.801717i | \(0.703920\pi\) | |||||||
\(6\) | 0.984808 | − | 0.173648i | 0.402046 | − | 0.0708916i | ||||
\(7\) | −1.45333 | + | 2.21085i | −0.549306 | + | 0.835622i | ||||
\(8\) | −0.866025 | − | 0.500000i | −0.306186 | − | 0.176777i | ||||
\(9\) | 0.173648 | + | 0.984808i | 0.0578827 | + | 0.328269i | ||||
\(10\) | −1.53960 | + | 1.29188i | −0.486865 | + | 0.408528i | ||||
\(11\) | 1.07646 | + | 1.86448i | 0.324565 | + | 0.562163i | 0.981424 | − | 0.191850i | \(-0.0614489\pi\) |
−0.656859 | + | 0.754013i | \(0.728116\pi\) | |||||||
\(12\) | 0.500000 | − | 0.866025i | 0.144338 | − | 0.250000i | ||||
\(13\) | 0.220924 | + | 1.25292i | 0.0612732 | + | 0.347498i | 0.999996 | + | 0.00282454i | \(0.000899081\pi\) |
−0.938723 | + | 0.344673i | \(0.887990\pi\) | |||||||
\(14\) | 0.759427 | + | 2.53442i | 0.202965 | + | 0.677351i | ||||
\(15\) | −1.29188 | − | 1.53960i | −0.333562 | − | 0.397524i | ||||
\(16\) | −0.939693 | + | 0.342020i | −0.234923 | + | 0.0855050i | ||||
\(17\) | 7.03133 | + | 1.23981i | 1.70535 | + | 0.300699i | 0.939558 | − | 0.342390i | \(-0.111236\pi\) |
0.765791 | + | 0.643089i | \(0.222348\pi\) | |||||||
\(18\) | 0.866025 | + | 0.500000i | 0.204124 | + | 0.117851i | ||||
\(19\) | 3.16908 | + | 2.99281i | 0.727037 | + | 0.686598i | ||||
\(20\) | 2.00981i | 0.449407i | ||||||||
\(21\) | −2.53442 | + | 0.759427i | −0.553055 | + | 0.165721i | ||||
\(22\) | 2.12021 | + | 0.373850i | 0.452030 | + | 0.0797052i | ||||
\(23\) | 6.37581 | + | 2.32060i | 1.32945 | + | 0.483880i | 0.906474 | − | 0.422262i | \(-0.138764\pi\) |
0.422974 | + | 0.906142i | \(0.360986\pi\) | |||||||
\(24\) | −0.342020 | − | 0.939693i | −0.0698146 | − | 0.191814i | ||||
\(25\) | −0.902734 | − | 0.328568i | −0.180547 | − | 0.0657137i | ||||
\(26\) | 1.10180 | + | 0.636124i | 0.216081 | + | 0.124754i | ||||
\(27\) | −0.500000 | + | 0.866025i | −0.0962250 | + | 0.166667i | ||||
\(28\) | 2.42963 | + | 1.04734i | 0.459156 | + | 0.197928i | ||||
\(29\) | −2.83150 | + | 7.77947i | −0.525795 | + | 1.44461i | 0.338182 | + | 0.941081i | \(0.390188\pi\) |
−0.863977 | + | 0.503530i | \(0.832034\pi\) | |||||||
\(30\) | −2.00981 | −0.366939 | ||||||||
\(31\) | 1.43615 | 0.257940 | 0.128970 | − | 0.991649i | \(-0.458833\pi\) | ||||
0.128970 | + | 0.991649i | \(0.458833\pi\) | |||||||
\(32\) | −0.342020 | + | 0.939693i | −0.0604612 | + | 0.166116i | ||||
\(33\) | −0.373850 | + | 2.12021i | −0.0650790 | + | 0.369081i | ||||
\(34\) | 5.46941 | − | 4.58938i | 0.937996 | − | 0.787072i | ||||
\(35\) | 3.64812 | − | 3.86866i | 0.616644 | − | 0.653924i | ||||
\(36\) | 0.939693 | − | 0.342020i | 0.156615 | − | 0.0570034i | ||||
\(37\) | −1.70530 | + | 0.984555i | −0.280349 | + | 0.161860i | −0.633582 | − | 0.773676i | \(-0.718416\pi\) |
0.353232 | + | 0.935536i | \(0.385083\pi\) | |||||||
\(38\) | 4.32967 | − | 0.503913i | 0.702366 | − | 0.0817454i | ||||
\(39\) | −0.636124 | + | 1.10180i | −0.101861 | + | 0.176429i | ||||
\(40\) | 1.53960 | + | 1.29188i | 0.243433 | + | 0.204264i | ||||
\(41\) | −0.207998 | + | 1.17962i | −0.0324839 | + | 0.184225i | −0.996732 | − | 0.0807743i | \(-0.974261\pi\) |
0.964249 | + | 0.265000i | \(0.0853718\pi\) | |||||||
\(42\) | −1.04734 | + | 2.42963i | −0.161608 | + | 0.374900i | ||||
\(43\) | −8.46655 | − | 7.10428i | −1.29114 | − | 1.08339i | −0.991605 | − | 0.129306i | \(-0.958725\pi\) |
−0.299532 | − | 0.954086i | \(-0.596831\pi\) | |||||||
\(44\) | 1.64923 | − | 1.38387i | 0.248631 | − | 0.208626i | ||||
\(45\) | − | 2.00981i | − | 0.299605i | ||||||
\(46\) | 5.87598 | − | 3.39250i | 0.866366 | − | 0.500196i | ||||
\(47\) | −0.168177 | + | 0.0296541i | −0.0245311 | + | 0.00432549i | −0.185900 | − | 0.982569i | \(-0.559520\pi\) |
0.161369 | + | 0.986894i | \(0.448409\pi\) | |||||||
\(48\) | −0.939693 | − | 0.342020i | −0.135633 | − | 0.0493664i | ||||
\(49\) | −2.77569 | − | 6.42616i | −0.396527 | − | 0.918023i | ||||
\(50\) | −0.831964 | + | 0.480335i | −0.117658 | + | 0.0679296i | ||||
\(51\) | 4.58938 | + | 5.46941i | 0.642641 | + | 0.765870i | ||||
\(52\) | 1.19552 | − | 0.435135i | 0.165789 | − | 0.0603423i | ||||
\(53\) | −5.47507 | + | 0.965402i | −0.752059 | + | 0.132608i | −0.536521 | − | 0.843887i | \(-0.680262\pi\) |
−0.215538 | + | 0.976495i | \(0.569151\pi\) | |||||||
\(54\) | 0.342020 | + | 0.939693i | 0.0465430 | + | 0.127876i | ||||
\(55\) | −1.47991 | − | 4.06601i | −0.199550 | − | 0.548260i | ||||
\(56\) | 2.36404 | − | 1.18799i | 0.315908 | − | 0.158751i | ||||
\(57\) | 0.503913 | + | 4.32967i | 0.0667449 | + | 0.573479i | ||||
\(58\) | 4.13937 | + | 7.16960i | 0.543526 | + | 0.941414i | ||||
\(59\) | 0.185308 | − | 1.05093i | 0.0241250 | − | 0.136820i | −0.970366 | − | 0.241639i | \(-0.922315\pi\) |
0.994491 | + | 0.104819i | \(0.0334262\pi\) | |||||||
\(60\) | −1.29188 | + | 1.53960i | −0.166781 | + | 0.198762i | ||||
\(61\) | −0.526358 | + | 1.44616i | −0.0673932 | + | 0.185161i | −0.968817 | − | 0.247775i | \(-0.920300\pi\) |
0.901424 | + | 0.432937i | \(0.142523\pi\) | |||||||
\(62\) | 0.923137 | − | 1.10015i | 0.117239 | − | 0.139719i | ||||
\(63\) | −2.42963 | − | 1.04734i | −0.306104 | − | 0.131952i | ||||
\(64\) | 0.500000 | + | 0.866025i | 0.0625000 | + | 0.108253i | ||||
\(65\) | − | 2.55698i | − | 0.317154i | ||||||
\(66\) | 1.38387 | + | 1.64923i | 0.170343 | + | 0.203006i | ||||
\(67\) | −3.88493 | − | 4.62987i | −0.474619 | − | 0.565629i | 0.474617 | − | 0.880192i | \(-0.342586\pi\) |
−0.949237 | + | 0.314563i | \(0.898142\pi\) | |||||||
\(68\) | − | 7.13980i | − | 0.865828i | ||||||
\(69\) | 3.39250 | + | 5.87598i | 0.408409 | + | 0.707385i | ||||
\(70\) | −0.618605 | − | 5.28135i | −0.0739374 | − | 0.631242i | ||||
\(71\) | −1.29050 | + | 1.53796i | −0.153155 | + | 0.182523i | −0.837166 | − | 0.546949i | \(-0.815789\pi\) |
0.684012 | + | 0.729471i | \(0.260234\pi\) | |||||||
\(72\) | 0.342020 | − | 0.939693i | 0.0403075 | − | 0.110744i | ||||
\(73\) | 1.19557 | − | 1.42483i | 0.139931 | − | 0.166764i | −0.691527 | − | 0.722350i | \(-0.743062\pi\) |
0.831459 | + | 0.555587i | \(0.187506\pi\) | |||||||
\(74\) | −0.341932 | + | 1.93919i | −0.0397488 | + | 0.225427i | ||||
\(75\) | −0.480335 | − | 0.831964i | −0.0554643 | − | 0.0960670i | ||||
\(76\) | 2.39704 | − | 3.64063i | 0.274959 | − | 0.417609i | ||||
\(77\) | −5.68653 | − | 0.329813i | −0.648040 | − | 0.0375857i | ||||
\(78\) | 0.435135 | + | 1.19552i | 0.0492693 | + | 0.135366i | ||||
\(79\) | 2.67006 | + | 7.33593i | 0.300405 | + | 0.825357i | 0.994429 | + | 0.105405i | \(0.0336139\pi\) |
−0.694024 | + | 0.719952i | \(0.744164\pi\) | |||||||
\(80\) | 1.97928 | − | 0.349000i | 0.221290 | − | 0.0390193i | ||||
\(81\) | −0.939693 | + | 0.342020i | −0.104410 | + | 0.0380022i | ||||
\(82\) | 0.769940 | + | 0.917579i | 0.0850257 | + | 0.101330i | ||||
\(83\) | 3.98187 | − | 2.29893i | 0.437067 | − | 0.252341i | −0.265286 | − | 0.964170i | \(-0.585466\pi\) |
0.702353 | + | 0.711829i | \(0.252133\pi\) | |||||||
\(84\) | 1.18799 | + | 2.36404i | 0.129620 | + | 0.257938i | ||||
\(85\) | −13.4842 | − | 4.90787i | −1.46257 | − | 0.532333i | ||||
\(86\) | −10.8844 | + | 1.91921i | −1.17369 | + | 0.206954i | ||||
\(87\) | −7.16960 | + | 4.13937i | −0.768662 | + | 0.443787i | ||||
\(88\) | − | 2.15292i | − | 0.229502i | ||||||
\(89\) | 3.37288 | − | 2.83019i | 0.357525 | − | 0.299999i | −0.446278 | − | 0.894894i | \(-0.647251\pi\) |
0.803803 | + | 0.594895i | \(0.202806\pi\) | |||||||
\(90\) | −1.53960 | − | 1.29188i | −0.162288 | − | 0.136176i | ||||
\(91\) | −3.09109 | − | 1.33247i | −0.324034 | − | 0.139681i | ||||
\(92\) | 1.17820 | − | 6.68192i | 0.122836 | − | 0.696638i | ||||
\(93\) | 1.10015 | + | 0.923137i | 0.114080 | + | 0.0957249i | ||||
\(94\) | −0.0853855 | + | 0.147892i | −0.00880685 | + | 0.0152539i | ||||
\(95\) | −5.22799 | − | 7.02961i | −0.536380 | − | 0.721223i | ||||
\(96\) | −0.866025 | + | 0.500000i | −0.0883883 | + | 0.0510310i | ||||
\(97\) | −2.01102 | + | 0.731950i | −0.204188 | + | 0.0743182i | −0.442089 | − | 0.896971i | \(-0.645763\pi\) |
0.237902 | + | 0.971289i | \(0.423540\pi\) | |||||||
\(98\) | −6.70690 | − | 2.00436i | −0.677500 | − | 0.202471i | ||||
\(99\) | −1.64923 | + | 1.38387i | −0.165754 | + | 0.139084i | ||||
\(100\) | −0.166819 | + | 0.946075i | −0.0166819 | + | 0.0946075i | ||||
\(101\) | −1.68292 | + | 4.62377i | −0.167456 | + | 0.460083i | −0.994828 | − | 0.101572i | \(-0.967613\pi\) |
0.827372 | + | 0.561655i | \(0.189835\pi\) | |||||||
\(102\) | 7.13980 | 0.706946 | ||||||||
\(103\) | 12.8666 | 1.26779 | 0.633894 | − | 0.773420i | \(-0.281456\pi\) | ||||
0.633894 | + | 0.773420i | \(0.281456\pi\) | |||||||
\(104\) | 0.435135 | − | 1.19552i | 0.0426685 | − | 0.117231i | ||||
\(105\) | 5.28135 | − | 0.618605i | 0.515407 | − | 0.0603696i | ||||
\(106\) | −2.77977 | + | 4.81470i | −0.269995 | + | 0.467645i | ||||
\(107\) | 11.8006 | + | 6.81311i | 1.14081 | + | 0.658648i | 0.946631 | − | 0.322318i | \(-0.104462\pi\) |
0.194180 | + | 0.980966i | \(0.437795\pi\) | |||||||
\(108\) | 0.939693 | + | 0.342020i | 0.0904220 | + | 0.0329109i | ||||
\(109\) | −2.97587 | − | 8.17613i | −0.285036 | − | 0.783131i | −0.996742 | − | 0.0806533i | \(-0.974299\pi\) |
0.711706 | − | 0.702478i | \(-0.247923\pi\) | |||||||
\(110\) | −4.06601 | − | 1.47991i | −0.387679 | − | 0.141103i | ||||
\(111\) | −1.93919 | − | 0.341932i | −0.184060 | − | 0.0324548i | ||||
\(112\) | 0.609525 | − | 2.57458i | 0.0575947 | − | 0.243275i | ||||
\(113\) | − | 3.92307i | − | 0.369052i | −0.982828 | − | 0.184526i | \(-0.940925\pi\) | ||
0.982828 | − | 0.184526i | \(-0.0590749\pi\) | |||||||
\(114\) | 3.64063 | + | 2.39704i | 0.340976 | + | 0.224503i | ||||
\(115\) | −11.8096 | − | 6.81827i | −1.10125 | − | 0.635807i | ||||
\(116\) | 8.15297 | + | 1.43759i | 0.756984 | + | 0.133477i | ||||
\(117\) | −1.19552 | + | 0.435135i | −0.110526 | + | 0.0402282i | ||||
\(118\) | −0.685948 | − | 0.817481i | −0.0631467 | − | 0.0752553i | ||||
\(119\) | −12.9599 | + | 13.7433i | −1.18803 | + | 1.25985i | ||||
\(120\) | 0.349000 | + | 1.97928i | 0.0318592 | + | 0.180682i | ||||
\(121\) | 3.18247 | − | 5.51220i | 0.289316 | − | 0.501109i | ||||
\(122\) | 0.769484 | + | 1.33279i | 0.0696658 | + | 0.120665i | ||||
\(123\) | −0.917579 | + | 0.769940i | −0.0827353 | + | 0.0694232i | ||||
\(124\) | −0.249384 | − | 1.41433i | −0.0223954 | − | 0.127010i | ||||
\(125\) | 10.3748 | + | 5.98990i | 0.927952 | + | 0.535753i | ||||
\(126\) | −2.36404 | + | 1.18799i | −0.210605 | + | 0.105834i | ||||
\(127\) | −8.74614 | + | 1.54218i | −0.776095 | + | 0.136846i | −0.547647 | − | 0.836710i | \(-0.684476\pi\) |
−0.228448 | + | 0.973556i | \(0.573365\pi\) | |||||||
\(128\) | 0.984808 | + | 0.173648i | 0.0870455 | + | 0.0153485i | ||||
\(129\) | −1.91921 | − | 10.8844i | −0.168977 | − | 0.958317i | ||||
\(130\) | −1.95876 | − | 1.64359i | −0.171794 | − | 0.144153i | ||||
\(131\) | 10.0173 | − | 11.9381i | 0.875212 | − | 1.04304i | −0.123503 | − | 0.992344i | \(-0.539413\pi\) |
0.998714 | − | 0.0506925i | \(-0.0161429\pi\) | |||||||
\(132\) | 2.15292 | 0.187388 | ||||||||
\(133\) | −11.2224 | + | 2.65682i | −0.973102 | + | 0.230375i | ||||
\(134\) | −6.04387 | −0.522111 | ||||||||
\(135\) | 1.29188 | − | 1.53960i | 0.111187 | − | 0.132508i | ||||
\(136\) | −5.46941 | − | 4.58938i | −0.468998 | − | 0.393536i | ||||
\(137\) | −0.118233 | − | 0.670534i | −0.0101013 | − | 0.0572875i | 0.979340 | − | 0.202218i | \(-0.0648151\pi\) |
−0.989442 | + | 0.144931i | \(0.953704\pi\) | |||||||
\(138\) | 6.68192 | + | 1.17820i | 0.568802 | + | 0.100295i | ||||
\(139\) | 18.1885 | − | 3.20713i | 1.54273 | − | 0.272025i | 0.663411 | − | 0.748255i | \(-0.269108\pi\) |
0.879321 | + | 0.476230i | \(0.157997\pi\) | |||||||
\(140\) | −4.44338 | − | 2.92091i | −0.375534 | − | 0.246862i | ||||
\(141\) | −0.147892 | − | 0.0853855i | −0.0124548 | − | 0.00719076i | ||||
\(142\) | 0.348628 | + | 1.97717i | 0.0292562 | + | 0.165920i | ||||
\(143\) | −2.09823 | + | 1.76063i | −0.175463 | + | 0.147231i | ||||
\(144\) | −0.500000 | − | 0.866025i | −0.0416667 | − | 0.0721688i | ||||
\(145\) | 8.31934 | − | 14.4095i | 0.690884 | − | 1.19665i | ||||
\(146\) | −0.322982 | − | 1.83172i | −0.0267302 | − | 0.151595i | ||||
\(147\) | 2.00436 | − | 6.70690i | 0.165317 | − | 0.553176i | ||||
\(148\) | 1.26572 | + | 1.50843i | 0.104041 | + | 0.123992i | ||||
\(149\) | −6.02986 | + | 2.19469i | −0.493985 | + | 0.179796i | −0.576987 | − | 0.816753i | \(-0.695772\pi\) |
0.0830014 | + | 0.996549i | \(0.473549\pi\) | |||||||
\(150\) | −0.946075 | − | 0.166819i | −0.0772467 | − | 0.0136207i | ||||
\(151\) | 0.185714 | + | 0.107222i | 0.0151132 | + | 0.00872562i | 0.507538 | − | 0.861630i | \(-0.330556\pi\) |
−0.492424 | + | 0.870355i | \(0.663889\pi\) | |||||||
\(152\) | −1.24810 | − | 4.17639i | −0.101234 | − | 0.338750i | ||||
\(153\) | 7.13980i | 0.577219i | ||||||||
\(154\) | −3.90788 | + | 4.14414i | −0.314906 | + | 0.333944i | ||||
\(155\) | −2.84253 | − | 0.501215i | −0.228317 | − | 0.0402585i | ||||
\(156\) | 1.19552 | + | 0.435135i | 0.0957184 | + | 0.0348387i | ||||
\(157\) | 3.08485 | + | 8.47557i | 0.246198 | + | 0.676424i | 0.999817 | + | 0.0191127i | \(0.00608412\pi\) |
−0.753619 | + | 0.657311i | \(0.771694\pi\) | |||||||
\(158\) | 7.33593 | + | 2.67006i | 0.583616 | + | 0.212419i | ||||
\(159\) | −4.81470 | − | 2.77977i | −0.381830 | − | 0.220450i | ||||
\(160\) | 1.00490 | − | 1.74055i | 0.0794447 | − | 0.137602i | ||||
\(161\) | −14.3966 | + | 10.7233i | −1.13461 | + | 0.845118i | ||||
\(162\) | −0.342020 | + | 0.939693i | −0.0268716 | + | 0.0738292i | ||||
\(163\) | −24.0471 | −1.88351 | −0.941755 | − | 0.336299i | \(-0.890825\pi\) | ||||
−0.941755 | + | 0.336299i | \(0.890825\pi\) | |||||||
\(164\) | 1.19781 | 0.0935336 | ||||||||
\(165\) | 1.47991 | − | 4.06601i | 0.115210 | − | 0.316538i | ||||
\(166\) | 0.798411 | − | 4.52802i | 0.0619687 | − | 0.351442i | ||||
\(167\) | 11.2887 | − | 9.47232i | 0.873544 | − | 0.732990i | −0.0912975 | − | 0.995824i | \(-0.529101\pi\) |
0.964841 | + | 0.262833i | \(0.0846570\pi\) | |||||||
\(168\) | 2.57458 | + | 0.609525i | 0.198633 | + | 0.0470259i | ||||
\(169\) | 10.6950 | − | 3.89266i | 0.822692 | − | 0.299436i | ||||
\(170\) | −12.4272 | + | 7.17482i | −0.953119 | + | 0.550284i | ||||
\(171\) | −2.39704 | + | 3.64063i | −0.183306 | + | 0.278406i | ||||
\(172\) | −5.52615 | + | 9.57157i | −0.421365 | + | 0.729825i | ||||
\(173\) | 16.6239 | + | 13.9491i | 1.26389 | + | 1.06053i | 0.995256 | + | 0.0972917i | \(0.0310180\pi\) |
0.268638 | + | 0.963241i | \(0.413426\pi\) | |||||||
\(174\) | −1.43759 | + | 8.15297i | −0.108983 | + | 0.618075i | ||||
\(175\) | 2.03838 | − | 1.51829i | 0.154087 | − | 0.114772i | ||||
\(176\) | −1.64923 | − | 1.38387i | −0.124315 | − | 0.104313i | ||||
\(177\) | 0.817481 | − | 0.685948i | 0.0614457 | − | 0.0515590i | ||||
\(178\) | − | 4.40299i | − | 0.330018i | ||||||
\(179\) | 19.4251 | − | 11.2151i | 1.45190 | − | 0.838254i | 0.453309 | − | 0.891353i | \(-0.350243\pi\) |
0.998589 | + | 0.0530993i | \(0.0169100\pi\) | |||||||
\(180\) | −1.97928 | + | 0.349000i | −0.147526 | + | 0.0260129i | ||||
\(181\) | −18.3966 | − | 6.69582i | −1.36741 | − | 0.497696i | −0.449072 | − | 0.893496i | \(-0.648245\pi\) |
−0.918337 | + | 0.395800i | \(0.870468\pi\) | |||||||
\(182\) | −3.00765 | + | 1.51141i | −0.222942 | + | 0.112033i | ||||
\(183\) | −1.33279 | + | 0.769484i | −0.0985223 | + | 0.0568819i | ||||
\(184\) | −4.36131 | − | 5.19761i | −0.321520 | − | 0.383173i | ||||
\(185\) | 3.71886 | − | 1.35356i | 0.273416 | − | 0.0995154i | ||||
\(186\) | 1.41433 | − | 0.249384i | 0.103704 | − | 0.0182857i | ||||
\(187\) | 5.25733 | + | 14.4444i | 0.384454 | + | 1.05628i | ||||
\(188\) | 0.0584072 | + | 0.160472i | 0.00425978 | + | 0.0117036i | ||||
\(189\) | −1.18799 | − | 2.36404i | −0.0864133 | − | 0.171959i | ||||
\(190\) | −8.74548 | − | 0.513672i | −0.634464 | − | 0.0372657i | ||||
\(191\) | −13.3334 | − | 23.0941i | −0.964770 | − | 1.67103i | −0.710233 | − | 0.703967i | \(-0.751410\pi\) |
−0.254537 | − | 0.967063i | \(-0.581923\pi\) | |||||||
\(192\) | −0.173648 | + | 0.984808i | −0.0125320 | + | 0.0710724i | ||||
\(193\) | 5.48888 | − | 6.54139i | 0.395098 | − | 0.470860i | −0.531421 | − | 0.847108i | \(-0.678342\pi\) |
0.926519 | + | 0.376248i | \(0.122786\pi\) | |||||||
\(194\) | −0.731950 | + | 2.01102i | −0.0525509 | + | 0.144382i | ||||
\(195\) | 1.64359 | − | 1.95876i | 0.117700 | − | 0.140270i | ||||
\(196\) | −5.84654 | + | 3.84941i | −0.417610 | + | 0.274958i | ||||
\(197\) | 7.33370 | + | 12.7023i | 0.522505 | + | 0.905005i | 0.999657 | + | 0.0261841i | \(0.00833561\pi\) |
−0.477152 | + | 0.878821i | \(0.658331\pi\) | |||||||
\(198\) | 2.15292i | 0.153001i | ||||||||
\(199\) | −3.68019 | − | 4.38588i | −0.260882 | − | 0.310907i | 0.619665 | − | 0.784867i | \(-0.287269\pi\) |
−0.880546 | + | 0.473960i | \(0.842824\pi\) | |||||||
\(200\) | 0.617507 | + | 0.735916i | 0.0436643 | + | 0.0520371i | ||||
\(201\) | − | 6.04387i | − | 0.426302i | ||||||
\(202\) | 2.46026 | + | 4.26129i | 0.173103 | + | 0.299823i | ||||
\(203\) | −13.0841 | − | 17.5661i | −0.918326 | − | 1.23290i | ||||
\(204\) | 4.58938 | − | 5.46941i | 0.321321 | − | 0.382935i | ||||
\(205\) | 0.823372 | − | 2.26220i | 0.0575068 | − | 0.157999i | ||||
\(206\) | 8.27051 | − | 9.85641i | 0.576234 | − | 0.686729i | ||||
\(207\) | −1.17820 | + | 6.68192i | −0.0818907 | + | 0.464425i | ||||
\(208\) | −0.636124 | − | 1.10180i | −0.0441073 | − | 0.0763960i | ||||
\(209\) | −2.16866 | + | 9.13033i | −0.150009 | + | 0.631558i | ||||
\(210\) | 2.92091 | − | 4.44338i | 0.201562 | − | 0.306622i | ||||
\(211\) | −5.62221 | − | 15.4469i | −0.387049 | − | 1.06341i | −0.968323 | − | 0.249700i | \(-0.919668\pi\) |
0.581274 | − | 0.813708i | \(-0.302554\pi\) | |||||||
\(212\) | 1.90147 | + | 5.22425i | 0.130594 | + | 0.358803i | ||||
\(213\) | −1.97717 | + | 0.348628i | −0.135473 | + | 0.0238876i | ||||
\(214\) | 12.8045 | − | 4.66044i | 0.875294 | − | 0.318581i | ||||
\(215\) | 14.2782 | + | 17.0161i | 0.973768 | + | 1.16049i | ||||
\(216\) | 0.866025 | − | 0.500000i | 0.0589256 | − | 0.0340207i | ||||
\(217\) | −2.08719 | + | 3.17510i | −0.141688 | + | 0.215540i | ||||
\(218\) | −8.17613 | − | 2.97587i | −0.553757 | − | 0.201551i | ||||
\(219\) | 1.83172 | − | 0.322982i | 0.123776 | − | 0.0218251i | ||||
\(220\) | −3.74725 | + | 2.16348i | −0.252640 | + | 0.145862i | ||||
\(221\) | 9.08360i | 0.611029i | ||||||||
\(222\) | −1.50843 | + | 1.26572i | −0.101239 | + | 0.0849495i | ||||
\(223\) | −7.29230 | − | 6.11897i | −0.488329 | − | 0.409756i | 0.365098 | − | 0.930969i | \(-0.381035\pi\) |
−0.853427 | + | 0.521213i | \(0.825480\pi\) | |||||||
\(224\) | −1.58045 | − | 2.12183i | −0.105598 | − | 0.141771i | ||||
\(225\) | 0.166819 | − | 0.946075i | 0.0111212 | − | 0.0630717i | ||||
\(226\) | −3.00525 | − | 2.52170i | −0.199906 | − | 0.167741i | ||||
\(227\) | −6.24927 | + | 10.8240i | −0.414778 | + | 0.718417i | −0.995405 | − | 0.0957526i | \(-0.969474\pi\) |
0.580627 | + | 0.814170i | \(0.302808\pi\) | |||||||
\(228\) | 4.17639 | − | 1.24810i | 0.276588 | − | 0.0826572i | ||||
\(229\) | 11.0421 | − | 6.37514i | 0.729680 | − | 0.421281i | −0.0886249 | − | 0.996065i | \(-0.528247\pi\) |
0.818305 | + | 0.574784i | \(0.194914\pi\) | |||||||
\(230\) | −12.8142 | + | 4.66397i | −0.844940 | + | 0.307533i | ||||
\(231\) | −4.14414 | − | 3.90788i | −0.272664 | − | 0.257120i | ||||
\(232\) | 6.34188 | − | 5.32147i | 0.416365 | − | 0.349372i | ||||
\(233\) | −4.29851 | + | 24.3781i | −0.281605 | + | 1.59706i | 0.435562 | + | 0.900159i | \(0.356550\pi\) |
−0.717167 | + | 0.696902i | \(0.754561\pi\) | |||||||
\(234\) | −0.435135 | + | 1.19552i | −0.0284456 | + | 0.0781537i | ||||
\(235\) | 0.343217 | 0.0223890 | ||||||||
\(236\) | −1.06715 | −0.0694653 | ||||||||
\(237\) | −2.67006 | + | 7.33593i | −0.173439 | + | 0.476520i | ||||
\(238\) | 2.19758 | + | 18.7619i | 0.142448 | + | 1.21615i | ||||
\(239\) | −10.4794 | + | 18.1508i | −0.677854 | + | 1.17408i | 0.297771 | + | 0.954637i | \(0.403757\pi\) |
−0.975626 | + | 0.219441i | \(0.929577\pi\) | |||||||
\(240\) | 1.74055 | + | 1.00490i | 0.112352 | + | 0.0648663i | ||||
\(241\) | −8.42741 | − | 3.06733i | −0.542857 | − | 0.197584i | 0.0560129 | − | 0.998430i | \(-0.482161\pi\) |
−0.598870 | + | 0.800846i | \(0.704383\pi\) | |||||||
\(242\) | −2.17694 | − | 5.98109i | −0.139939 | − | 0.384479i | ||||
\(243\) | −0.939693 | − | 0.342020i | −0.0602813 | − | 0.0219406i | ||||
\(244\) | 1.51559 | + | 0.267239i | 0.0970255 | + | 0.0171082i | ||||
\(245\) | 3.25112 | + | 13.6879i | 0.207707 | + | 0.874485i | ||||
\(246\) | 1.19781i | 0.0763699i | ||||||||
\(247\) | −3.04963 | + | 4.63179i | −0.194043 | + | 0.294714i | ||||
\(248\) | −1.24374 | − | 0.718073i | −0.0789775 | − | 0.0455977i | ||||
\(249\) | 4.52802 | + | 0.798411i | 0.286951 | + | 0.0505973i | ||||
\(250\) | 11.2573 | − | 4.09733i | 0.711976 | − | 0.259138i | ||||
\(251\) | −15.3904 | − | 18.3415i | −0.971431 | − | 1.15771i | −0.987465 | − | 0.157835i | \(-0.949548\pi\) |
0.0160341 | − | 0.999871i | \(-0.494896\pi\) | |||||||
\(252\) | −0.609525 | + | 2.57458i | −0.0383965 | + | 0.162183i | ||||
\(253\) | 2.53657 | + | 14.3856i | 0.159473 | + | 0.904416i | ||||
\(254\) | −4.44053 | + | 7.69123i | −0.278624 | + | 0.482591i | ||||
\(255\) | −7.17482 | − | 12.4272i | −0.449305 | − | 0.778218i | ||||
\(256\) | 0.766044 | − | 0.642788i | 0.0478778 | − | 0.0401742i | ||||
\(257\) | 1.86842 | + | 10.5963i | 0.116549 | + | 0.660980i | 0.985972 | + | 0.166912i | \(0.0533795\pi\) |
−0.869423 | + | 0.494068i | \(0.835509\pi\) | |||||||
\(258\) | −9.57157 | − | 5.52615i | −0.595900 | − | 0.344043i | ||||
\(259\) | 0.301655 | − | 5.20103i | 0.0187439 | − | 0.323176i | ||||
\(260\) | −2.51813 | + | 0.444014i | −0.156168 | + | 0.0275366i | ||||
\(261\) | −8.15297 | − | 1.43759i | −0.504656 | − | 0.0889844i | ||||
\(262\) | −2.70615 | − | 15.3473i | −0.167186 | − | 0.948161i | ||||
\(263\) | −13.7568 | − | 11.5433i | −0.848278 | − | 0.711790i | 0.111131 | − | 0.993806i | \(-0.464553\pi\) |
−0.959410 | + | 0.282016i | \(0.908997\pi\) | |||||||
\(264\) | 1.38387 | − | 1.64923i | 0.0851713 | − | 0.101503i | ||||
\(265\) | 11.1736 | 0.686388 | ||||||||
\(266\) | −5.17835 | + | 10.3046i | −0.317505 | + | 0.631815i | ||||
\(267\) | 4.40299 | 0.269458 | ||||||||
\(268\) | −3.88493 | + | 4.62987i | −0.237310 | + | 0.282815i | ||||
\(269\) | −3.72945 | − | 3.12938i | −0.227389 | − | 0.190802i | 0.521974 | − | 0.852961i | \(-0.325196\pi\) |
−0.749363 | + | 0.662159i | \(0.769640\pi\) | |||||||
\(270\) | −0.349000 | − | 1.97928i | −0.0212394 | − | 0.120455i | ||||
\(271\) | −17.6134 | − | 3.10573i | −1.06994 | − | 0.188659i | −0.389177 | − | 0.921163i | \(-0.627241\pi\) |
−0.680763 | + | 0.732503i | \(0.738352\pi\) | |||||||
\(272\) | −7.03133 | + | 1.23981i | −0.426337 | + | 0.0751748i | ||||
\(273\) | −1.51141 | − | 3.00765i | −0.0914749 | − | 0.182031i | ||||
\(274\) | −0.589657 | − | 0.340439i | −0.0356225 | − | 0.0205667i | ||||
\(275\) | −0.359147 | − | 2.03682i | −0.0216574 | − | 0.122825i | ||||
\(276\) | 5.19761 | − | 4.36131i | 0.312859 | − | 0.262520i | ||||
\(277\) | −1.48032 | − | 2.56399i | −0.0889439 | − | 0.154055i | 0.818121 | − | 0.575046i | \(-0.195016\pi\) |
−0.907065 | + | 0.420991i | \(0.861683\pi\) | |||||||
\(278\) | 9.23456 | − | 15.9947i | 0.553852 | − | 0.959300i | ||||
\(279\) | 0.249384 | + | 1.41433i | 0.0149302 | + | 0.0846736i | ||||
\(280\) | −5.09369 | + | 1.52630i | −0.304406 | + | 0.0912141i | ||||
\(281\) | −2.58584 | − | 3.08168i | −0.154258 | − | 0.183838i | 0.683381 | − | 0.730062i | \(-0.260509\pi\) |
−0.837639 | + | 0.546225i | \(0.816064\pi\) | |||||||
\(282\) | −0.160472 | + | 0.0584072i | −0.00955599 | + | 0.00347810i | ||||
\(283\) | −3.79212 | − | 0.668653i | −0.225418 | − | 0.0397473i | 0.0597981 | − | 0.998210i | \(-0.480954\pi\) |
−0.285216 | + | 0.958463i | \(0.592065\pi\) | |||||||
\(284\) | 1.73869 | + | 1.00383i | 0.103172 | + | 0.0595666i | ||||
\(285\) | 0.513672 | − | 8.74548i | 0.0304273 | − | 0.518038i | ||||
\(286\) | 2.73905i | 0.161963i | ||||||||
\(287\) | −2.30566 | − | 2.17422i | −0.136099 | − | 0.128340i | ||||
\(288\) | −0.984808 | − | 0.173648i | −0.0580304 | − | 0.0102323i | ||||
\(289\) | 31.9277 | + | 11.6207i | 1.87810 | + | 0.683573i | ||||
\(290\) | −5.69076 | − | 15.6352i | −0.334173 | − | 0.918133i | ||||
\(291\) | −2.01102 | − | 0.731950i | −0.117888 | − | 0.0429076i | ||||
\(292\) | −1.61079 | − | 0.929991i | −0.0942644 | − | 0.0544236i | ||||
\(293\) | −4.85514 | + | 8.40935i | −0.283640 | + | 0.491279i | −0.972279 | − | 0.233826i | \(-0.924876\pi\) |
0.688638 | + | 0.725105i | \(0.258209\pi\) | |||||||
\(294\) | −3.84941 | − | 5.84654i | −0.224502 | − | 0.340977i | ||||
\(295\) | −0.733551 | + | 2.01541i | −0.0427090 | + | 0.117342i | ||||
\(296\) | 1.96911 | 0.114452 | ||||||||
\(297\) | −2.15292 | −0.124925 | ||||||||
\(298\) | −2.19469 | + | 6.02986i | −0.127135 | + | 0.349300i | ||||
\(299\) | −1.49897 | + | 8.50106i | −0.0866874 | + | 0.491629i | ||||
\(300\) | −0.735916 | + | 0.617507i | −0.0424881 | + | 0.0356518i | ||||
\(301\) | 28.0111 | − | 8.39341i | 1.61453 | − | 0.483788i | ||||
\(302\) | 0.201512 | − | 0.0733443i | 0.0115957 | − | 0.00422049i | ||||
\(303\) | −4.26129 | + | 2.46026i | −0.244805 | + | 0.141338i | ||||
\(304\) | −4.00156 | − | 1.72844i | −0.229505 | − | 0.0991326i | ||||
\(305\) | 1.54652 | − | 2.67864i | 0.0885532 | − | 0.153379i | ||||
\(306\) | 5.46941 | + | 4.58938i | 0.312665 | + | 0.262357i | ||||
\(307\) | 1.67777 | − | 9.51508i | 0.0957551 | − | 0.543054i | −0.898758 | − | 0.438445i | \(-0.855530\pi\) |
0.994513 | − | 0.104610i | \(-0.0333593\pi\) | |||||||
\(308\) | 0.662653 | + | 5.65741i | 0.0377581 | + | 0.322361i | ||||
\(309\) | 9.85641 | + | 8.27051i | 0.560712 | + | 0.470493i | ||||
\(310\) | −2.21110 | + | 1.85533i | −0.125582 | + | 0.105376i | ||||
\(311\) | − | 31.1159i | − | 1.76442i | −0.470858 | − | 0.882209i | \(-0.656055\pi\) | ||
0.470858 | − | 0.882209i | \(-0.343945\pi\) | |||||||
\(312\) | 1.10180 | − | 0.636124i | 0.0623771 | − | 0.0360134i | ||||
\(313\) | −11.7105 | + | 2.06488i | −0.661917 | + | 0.116714i | −0.494507 | − | 0.869174i | \(-0.664651\pi\) |
−0.167410 | + | 0.985887i | \(0.553540\pi\) | |||||||
\(314\) | 8.47557 | + | 3.08485i | 0.478304 | + | 0.174088i | ||||
\(315\) | 4.44338 | + | 2.92091i | 0.250356 | + | 0.164574i | ||||
\(316\) | 6.76083 | − | 3.90337i | 0.380327 | − | 0.219582i | ||||
\(317\) | 4.28315 | + | 5.10446i | 0.240566 | + | 0.286695i | 0.872796 | − | 0.488086i | \(-0.162305\pi\) |
−0.632230 | + | 0.774781i | \(0.717860\pi\) | |||||||
\(318\) | −5.22425 | + | 1.90147i | −0.292961 | + | 0.106629i | ||||
\(319\) | −17.5527 | + | 3.09501i | −0.982761 | + | 0.173287i | ||||
\(320\) | −0.687395 | − | 1.88860i | −0.0384265 | − | 0.105576i | ||||
\(321\) | 4.66044 | + | 12.8045i | 0.260120 | + | 0.714675i | ||||
\(322\) | −1.03942 | + | 17.9213i | −0.0579245 | + | 0.998714i | ||||
\(323\) | 18.5723 | + | 24.9725i | 1.03339 | + | 1.38951i | ||||
\(324\) | 0.500000 | + | 0.866025i | 0.0277778 | + | 0.0481125i | ||||
\(325\) | 0.212235 | − | 1.20364i | 0.0117727 | − | 0.0667661i | ||||
\(326\) | −15.4572 | + | 18.4211i | −0.856092 | + | 1.02025i | ||||
\(327\) | 2.97587 | − | 8.17613i | 0.164566 | − | 0.452141i | ||||
\(328\) | 0.769940 | − | 0.917579i | 0.0425128 | − | 0.0506648i | ||||
\(329\) | 0.178855 | − | 0.414910i | 0.00986059 | − | 0.0228747i | ||||
\(330\) | −2.16348 | − | 3.74725i | −0.119095 | − | 0.206279i | ||||
\(331\) | 33.1907i | 1.82433i | 0.409828 | + | 0.912163i | \(0.365589\pi\) | ||||
−0.409828 | + | 0.912163i | \(0.634411\pi\) | |||||||
\(332\) | −2.95545 | − | 3.52217i | −0.162202 | − | 0.193304i | ||||
\(333\) | −1.26572 | − | 1.50843i | −0.0693610 | − | 0.0826612i | ||||
\(334\) | − | 14.7363i | − | 0.806335i | ||||||
\(335\) | 6.07351 | + | 10.5196i | 0.331831 | + | 0.574749i | ||||
\(336\) | 2.12183 | − | 1.58045i | 0.115756 | − | 0.0862206i | ||||
\(337\) | 13.3786 | − | 15.9440i | 0.728777 | − | 0.868523i | −0.266675 | − | 0.963786i | \(-0.585925\pi\) |
0.995452 | + | 0.0952639i | \(0.0303695\pi\) | |||||||
\(338\) | 3.89266 | − | 10.6950i | 0.211733 | − | 0.581731i | ||||
\(339\) | 2.52170 | − | 3.00525i | 0.136960 | − | 0.163223i | ||||
\(340\) | −2.49179 | + | 14.1316i | −0.135136 | + | 0.766396i | ||||
\(341\) | 1.54595 | + | 2.67767i | 0.0837181 | + | 0.145004i | ||||
\(342\) | 1.24810 | + | 4.17639i | 0.0674894 | + | 0.225833i | ||||
\(343\) | 18.2412 | + | 3.20269i | 0.984934 | + | 0.172929i | ||||
\(344\) | 3.78011 | + | 10.3858i | 0.203810 | + | 0.559963i | ||||
\(345\) | −4.66397 | − | 12.8142i | −0.251100 | − | 0.689891i | ||||
\(346\) | 21.3713 | − | 3.76834i | 1.14893 | − | 0.202587i | ||||
\(347\) | 13.9299 | − | 5.07007i | 0.747797 | − | 0.272176i | 0.0601184 | − | 0.998191i | \(-0.480852\pi\) |
0.687678 | + | 0.726015i | \(0.258630\pi\) | |||||||
\(348\) | 5.32147 | + | 6.34188i | 0.285261 | + | 0.339961i | ||||
\(349\) | 14.7350 | − | 8.50723i | 0.788744 | − | 0.455382i | −0.0507761 | − | 0.998710i | \(-0.516169\pi\) |
0.839520 | + | 0.543328i | \(0.182836\pi\) | |||||||
\(350\) | 0.147168 | − | 2.53743i | 0.00786649 | − | 0.135631i | ||||
\(351\) | −1.19552 | − | 0.435135i | −0.0638123 | − | 0.0232258i | ||||
\(352\) | −2.12021 | + | 0.373850i | −0.113008 | + | 0.0199263i | ||||
\(353\) | 22.2867 | − | 12.8672i | 1.18620 | − | 0.684853i | 0.228760 | − | 0.973483i | \(-0.426533\pi\) |
0.957441 | + | 0.288629i | \(0.0931995\pi\) | |||||||
\(354\) | − | 1.06715i | − | 0.0567182i | ||||||
\(355\) | 3.09101 | − | 2.59366i | 0.164054 | − | 0.137657i | ||||
\(356\) | −3.37288 | − | 2.83019i | −0.178762 | − | 0.150000i | ||||
\(357\) | −18.7619 | + | 2.19758i | −0.992984 | + | 0.116308i | ||||
\(358\) | 3.89495 | − | 22.0894i | 0.205855 | − | 1.16746i | ||||
\(359\) | 3.45742 | + | 2.90112i | 0.182476 | + | 0.153115i | 0.729450 | − | 0.684034i | \(-0.239776\pi\) |
−0.546974 | + | 0.837149i | \(0.684221\pi\) | |||||||
\(360\) | −1.00490 | + | 1.74055i | −0.0529631 | + | 0.0917348i | ||||
\(361\) | 1.08614 | + | 18.9689i | 0.0571650 | + | 0.998365i | ||||
\(362\) | −16.9544 | + | 9.78863i | −0.891104 | + | 0.514479i | ||||
\(363\) | 5.98109 | − | 2.17694i | 0.313926 | − | 0.114260i | ||||
\(364\) | −0.775468 | + | 3.27551i | −0.0406456 | + | 0.171683i | ||||
\(365\) | −2.86363 | + | 2.40287i | −0.149889 | + | 0.125772i | ||||
\(366\) | −0.267239 | + | 1.51559i | −0.0139688 | + | 0.0792210i | ||||
\(367\) | 9.21940 | − | 25.3301i | 0.481249 | − | 1.32222i | −0.427175 | − | 0.904169i | \(-0.640491\pi\) |
0.908424 | − | 0.418051i | \(-0.137287\pi\) | |||||||
\(368\) | −6.78499 | −0.353692 | ||||||||
\(369\) | −1.19781 | −0.0623557 | ||||||||
\(370\) | 1.35356 | − | 3.71886i | 0.0703680 | − | 0.193335i | ||||
\(371\) | 5.82270 | − | 13.5076i | 0.302300 | − | 0.701279i | ||||
\(372\) | 0.718073 | − | 1.24374i | 0.0372304 | − | 0.0644849i | ||||
\(373\) | 26.2346 | + | 15.1466i | 1.35838 | + | 0.784260i | 0.989405 | − | 0.145180i | \(-0.0463762\pi\) |
0.368973 | + | 0.929440i | \(0.379710\pi\) | |||||||
\(374\) | 14.4444 | + | 5.25733i | 0.746902 | + | 0.271850i | ||||
\(375\) | 4.09733 | + | 11.2573i | 0.211585 | + | 0.581326i | ||||
\(376\) | 0.160472 | + | 0.0584072i | 0.00827573 | + | 0.00301212i | ||||
\(377\) | −10.3726 | − | 1.82897i | −0.534216 | − | 0.0941967i | ||||
\(378\) | −2.57458 | − | 0.609525i | −0.132422 | − | 0.0313506i | ||||
\(379\) | 7.61093i | 0.390947i | 0.980709 | + | 0.195474i | \(0.0626244\pi\) | ||||
−0.980709 | + | 0.195474i | \(0.937376\pi\) | |||||||
\(380\) | −6.01498 | + | 6.36924i | −0.308562 | + | 0.326735i | ||||
\(381\) | −7.69123 | − | 4.44053i | −0.394034 | − | 0.227495i | ||||
\(382\) | −26.2616 | − | 4.63063i | −1.34366 | − | 0.236924i | ||||
\(383\) | 33.3240 | − | 12.1290i | 1.70278 | − | 0.619761i | 0.706642 | − | 0.707572i | \(-0.250209\pi\) |
0.996137 | + | 0.0878107i | \(0.0279871\pi\) | |||||||
\(384\) | 0.642788 | + | 0.766044i | 0.0328021 | + | 0.0390920i | ||||
\(385\) | 11.1401 | + | 2.63739i | 0.567752 | + | 0.134414i | ||||
\(386\) | −1.48281 | − | 8.40945i | −0.0754732 | − | 0.428030i | ||||
\(387\) | 5.52615 | − | 9.57157i | 0.280910 | − | 0.486550i | ||||
\(388\) | 1.07004 | + | 1.85336i | 0.0543230 | + | 0.0940902i | ||||
\(389\) | 2.36626 | − | 1.98553i | 0.119974 | − | 0.100670i | −0.580827 | − | 0.814027i | \(-0.697271\pi\) |
0.700801 | + | 0.713357i | \(0.252826\pi\) | |||||||
\(390\) | −0.444014 | − | 2.51813i | −0.0224835 | − | 0.127510i | ||||
\(391\) | 41.9533 | + | 24.2218i | 2.12167 | + | 1.22495i | ||||
\(392\) | −0.809265 | + | 6.95306i | −0.0408740 | + | 0.351183i | ||||
\(393\) | 15.3473 | − | 2.70615i | 0.774170 | − | 0.136507i | ||||
\(394\) | 14.4446 | + | 2.54697i | 0.727707 | + | 0.128314i | ||||
\(395\) | −2.72455 | − | 15.4517i | −0.137087 | − | 0.777458i | ||||
\(396\) | 1.64923 | + | 1.38387i | 0.0828770 | + | 0.0695421i | ||||
\(397\) | −5.37933 | + | 6.41083i | −0.269981 | + | 0.321750i | −0.883952 | − | 0.467578i | \(-0.845127\pi\) |
0.613971 | + | 0.789328i | \(0.289571\pi\) | |||||||
\(398\) | −5.72536 | −0.286986 | ||||||||
\(399\) | −10.3046 | − | 5.17835i | −0.515875 | − | 0.259242i | ||||
\(400\) | 0.960670 | 0.0480335 | ||||||||
\(401\) | 2.59907 | − | 3.09745i | 0.129791 | − | 0.154679i | −0.697235 | − | 0.716843i | \(-0.745586\pi\) |
0.827026 | + | 0.562164i | \(0.190031\pi\) | |||||||
\(402\) | −4.62987 | − | 3.88493i | −0.230917 | − | 0.193762i | ||||
\(403\) | 0.317279 | + | 1.79938i | 0.0158048 | + | 0.0896333i | ||||
\(404\) | 4.84576 | + | 0.854439i | 0.241086 | + | 0.0425099i | ||||
\(405\) | 1.97928 | − | 0.349000i | 0.0983510 | − | 0.0173419i | ||||
\(406\) | −21.8667 | − | 1.26825i | −1.08523 | − | 0.0629422i | ||||
\(407\) | −3.67137 | − | 2.11967i | −0.181983 | − | 0.105068i | ||||
\(408\) | −1.23981 | − | 7.03133i | −0.0613799 | − | 0.348103i | ||||
\(409\) | −24.0491 | + | 20.1796i | −1.18915 | + | 0.997815i | −0.189276 | + | 0.981924i | \(0.560614\pi\) |
−0.999874 | + | 0.0158914i | \(0.994941\pi\) | |||||||
\(410\) | −1.20369 | − | 2.08485i | −0.0594460 | − | 0.102963i | ||||
\(411\) | 0.340439 | − | 0.589657i | 0.0167926 | − | 0.0290856i | ||||
\(412\) | −2.23427 | − | 12.6712i | −0.110074 | − | 0.624263i | ||||
\(413\) | 2.05414 | + | 1.93704i | 0.101078 | + | 0.0953154i | ||||
\(414\) | 4.36131 | + | 5.19761i | 0.214347 | + | 0.255448i | ||||
\(415\) | −8.68354 | + | 3.16055i | −0.426258 | + | 0.155145i | ||||
\(416\) | −1.25292 | − | 0.220924i | −0.0614295 | − | 0.0108317i | ||||
\(417\) | 15.9947 | + | 9.23456i | 0.783265 | + | 0.452218i | ||||
\(418\) | 5.60025 | + | 7.53016i | 0.273917 | + | 0.368312i | ||||
\(419\) | − | 6.85421i | − | 0.334850i | −0.985885 | − | 0.167425i | \(-0.946455\pi\) | ||
0.985885 | − | 0.167425i | \(-0.0535452\pi\) | |||||||
\(420\) | −1.52630 | − | 5.09369i | −0.0744760 | − | 0.248547i | ||||
\(421\) | −30.9856 | − | 5.46361i | −1.51015 | − | 0.266280i | −0.643595 | − | 0.765366i | \(-0.722558\pi\) |
−0.866552 | + | 0.499086i | \(0.833669\pi\) | |||||||
\(422\) | −15.4469 | − | 5.62221i | −0.751943 | − | 0.273685i | ||||
\(423\) | −0.0584072 | − | 0.160472i | −0.00283985 | − | 0.00780243i | ||||
\(424\) | 5.22425 | + | 1.90147i | 0.253712 | + | 0.0923436i | ||||
\(425\) | −5.94006 | − | 3.42950i | −0.288135 | − | 0.166355i | ||||
\(426\) | −1.00383 | + | 1.73869i | −0.0486359 | + | 0.0842398i | ||||
\(427\) | −2.43226 | − | 3.26543i | −0.117705 | − | 0.158025i | ||||
\(428\) | 4.66044 | − | 12.8045i | 0.225271 | − | 0.618926i | ||||
\(429\) | −2.73905 | −0.132242 | ||||||||
\(430\) | 22.2130 | 1.07121 | ||||||||
\(431\) | 10.9281 | − | 30.0248i | 0.526389 | − | 1.44624i | −0.336904 | − | 0.941539i | \(-0.609380\pi\) |
0.863293 | − | 0.504703i | \(-0.168398\pi\) | |||||||
\(432\) | 0.173648 | − | 0.984808i | 0.00835465 | − | 0.0473816i | ||||
\(433\) | 3.34074 | − | 2.80321i | 0.160545 | − | 0.134714i | −0.558976 | − | 0.829184i | \(-0.688806\pi\) |
0.719521 | + | 0.694470i | \(0.244361\pi\) | |||||||
\(434\) | 1.09065 | + | 3.63979i | 0.0523528 | + | 0.174716i | ||||
\(435\) | 15.6352 | − | 5.69076i | 0.749653 | − | 0.272851i | ||||
\(436\) | −7.53516 | + | 4.35043i | −0.360869 | + | 0.208348i | ||||
\(437\) | 13.2603 | + | 26.4358i | 0.634327 | + | 1.26460i | ||||
\(438\) | 0.929991 | − | 1.61079i | 0.0444367 | − | 0.0769666i | ||||
\(439\) | 20.3581 | + | 17.0824i | 0.971637 | + | 0.815300i | 0.982807 | − | 0.184637i | \(-0.0591110\pi\) |
−0.0111695 | + | 0.999938i | \(0.503555\pi\) | |||||||
\(440\) | −0.751368 | + | 4.26122i | −0.0358200 | + | 0.203146i | ||||
\(441\) | 5.84654 | − | 3.84941i | 0.278407 | − | 0.183305i | ||||
\(442\) | 6.95844 | + | 5.83883i | 0.330979 | + | 0.277725i | ||||
\(443\) | 4.46958 | − | 3.75043i | 0.212356 | − | 0.178188i | −0.530405 | − | 0.847744i | \(-0.677960\pi\) |
0.742761 | + | 0.669556i | \(0.233516\pi\) | |||||||
\(444\) | 1.96911i | 0.0934498i | ||||||||
\(445\) | −7.66360 | + | 4.42458i | −0.363289 | + | 0.209745i | ||||
\(446\) | −9.37480 | + | 1.65303i | −0.443910 | + | 0.0782733i | ||||
\(447\) | −6.02986 | − | 2.19469i | −0.285203 | − | 0.103805i | ||||
\(448\) | −2.64131 | − | 0.153194i | −0.124790 | − | 0.00723772i | ||||
\(449\) | 28.5631 | − | 16.4909i | 1.34798 | − | 0.778254i | 0.360013 | − | 0.932947i | \(-0.382772\pi\) |
0.987963 | + | 0.154693i | \(0.0494388\pi\) | |||||||
\(450\) | −0.617507 | − | 0.735916i | −0.0291095 | − | 0.0346914i | ||||
\(451\) | −2.42328 | + | 0.882001i | −0.114108 | + | 0.0415318i | ||||
\(452\) | −3.86347 | + | 0.681235i | −0.181723 | + | 0.0320426i | ||||
\(453\) | 0.0733443 | + | 0.201512i | 0.00344602 | + | 0.00946785i | ||||
\(454\) | 4.27475 | + | 11.7448i | 0.200624 | + | 0.551210i | ||||
\(455\) | 5.65308 | + | 3.71612i | 0.265021 | + | 0.174214i | ||||
\(456\) | 1.72844 | − | 4.00156i | 0.0809414 | − | 0.187390i | ||||
\(457\) | 18.1983 | + | 31.5204i | 0.851281 | + | 1.47446i | 0.880053 | + | 0.474875i | \(0.157507\pi\) |
−0.0287725 | + | 0.999586i | \(0.509160\pi\) | |||||||
\(458\) | 2.21406 | − | 12.5566i | 0.103456 | − | 0.586730i | ||||
\(459\) | −4.58938 | + | 5.46941i | −0.214214 | + | 0.255290i | ||||
\(460\) | −4.66397 | + | 12.8142i | −0.217459 | + | 0.597463i | ||||
\(461\) | −2.14731 | + | 2.55907i | −0.100010 | + | 0.119188i | −0.813728 | − | 0.581246i | \(-0.802566\pi\) |
0.713718 | + | 0.700433i | \(0.247010\pi\) | |||||||
\(462\) | −5.65741 | + | 0.662653i | −0.263207 | + | 0.0308294i | ||||
\(463\) | −13.3833 | − | 23.1806i | −0.621976 | − | 1.07729i | −0.989117 | − | 0.147129i | \(-0.952997\pi\) |
0.367141 | − | 0.930165i | \(-0.380337\pi\) | |||||||
\(464\) | − | 8.27874i | − | 0.384331i | ||||||
\(465\) | −1.85533 | − | 2.21110i | −0.0860388 | − | 0.102537i | ||||
\(466\) | 15.9117 | + | 18.9628i | 0.737093 | + | 0.878434i | ||||
\(467\) | 25.5718i | 1.18332i | 0.806187 | + | 0.591661i | \(0.201528\pi\) | ||||
−0.806187 | + | 0.591661i | \(0.798472\pi\) | |||||||
\(468\) | 0.636124 | + | 1.10180i | 0.0294049 | + | 0.0509307i | ||||
\(469\) | 15.8820 | − | 1.86026i | 0.733363 | − | 0.0858988i | ||||
\(470\) | 0.220616 | − | 0.262920i | 0.0101762 | − | 0.0121276i | ||||
\(471\) | −3.08485 | + | 8.47557i | −0.142143 | + | 0.390534i | ||||
\(472\) | −0.685948 | + | 0.817481i | −0.0315733 | + | 0.0376276i | ||||
\(473\) | 4.13190 | − | 23.4332i | 0.189985 | − | 1.07746i | ||||
\(474\) | 3.90337 | + | 6.76083i | 0.179288 | + | 0.310535i | ||||
\(475\) | −1.87749 | − | 3.74297i | −0.0861453 | − | 0.171739i | ||||
\(476\) | 15.7850 | + | 10.3765i | 0.723505 | + | 0.475604i | ||||
\(477\) | −1.90147 | − | 5.22425i | −0.0870624 | − | 0.239202i | ||||
\(478\) | 7.16831 | + | 19.6948i | 0.327871 | + | 0.900818i | ||||
\(479\) | −18.6480 | + | 3.28815i | −0.852050 | + | 0.150239i | −0.582584 | − | 0.812770i | \(-0.697958\pi\) |
−0.269466 | + | 0.963010i | \(0.586847\pi\) | |||||||
\(480\) | 1.88860 | − | 0.687395i | 0.0862025 | − | 0.0313751i | ||||
\(481\) | −1.61031 | − | 1.91909i | −0.0734238 | − | 0.0875030i | ||||
\(482\) | −7.76674 | + | 4.48413i | −0.353765 | + | 0.204247i | ||||
\(483\) | −17.9213 | − | 1.03942i | −0.815447 | − | 0.0472952i | ||||
\(484\) | −5.98109 | − | 2.17694i | −0.271868 | − | 0.0989517i | ||||
\(485\) | 4.23580 | − | 0.746886i | 0.192338 | − | 0.0339144i | ||||
\(486\) | −0.866025 | + | 0.500000i | −0.0392837 | + | 0.0226805i | ||||
\(487\) | − | 9.02633i | − | 0.409022i | −0.978864 | − | 0.204511i | \(-0.934440\pi\) | ||
0.978864 | − | 0.204511i | \(-0.0655604\pi\) | |||||||
\(488\) | 1.17892 | − | 0.989229i | 0.0533671 | − | 0.0447803i | ||||
\(489\) | −18.4211 | − | 15.4572i | −0.833032 | − | 0.698997i | ||||
\(490\) | 12.5753 | + | 6.30788i | 0.568094 | + | 0.284961i | ||||
\(491\) | 3.43767 | − | 19.4960i | 0.155140 | − | 0.879842i | −0.803518 | − | 0.595281i | \(-0.797041\pi\) |
0.958658 | − | 0.284562i | \(-0.0918481\pi\) | |||||||
\(492\) | 0.917579 | + | 0.769940i | 0.0413677 | + | 0.0347116i | ||||
\(493\) | −29.5543 | + | 51.1895i | −1.33106 | + | 2.30546i | ||||
\(494\) | 1.58789 | + | 5.31341i | 0.0714425 | + | 0.239062i | ||||
\(495\) | 3.74725 | − | 2.16348i | 0.168426 | − | 0.0972411i | ||||
\(496\) | −1.34954 | + | 0.491191i | −0.0605960 | + | 0.0220551i | ||||
\(497\) | −1.52468 | − | 5.08827i | −0.0683911 | − | 0.228240i | ||||
\(498\) | 3.52217 | − | 2.95545i | 0.157832 | − | 0.132437i | ||||
\(499\) | −6.02973 | + | 34.1963i | −0.269928 | + | 1.53084i | 0.484698 | + | 0.874681i | \(0.338929\pi\) |
−0.754626 | + | 0.656155i | \(0.772182\pi\) | |||||||
\(500\) | 4.09733 | − | 11.2573i | 0.183238 | − | 0.503443i | ||||
\(501\) | 14.7363 | 0.658370 | ||||||||
\(502\) | −23.9432 | −1.06864 | ||||||||
\(503\) | 14.3968 | − | 39.5548i | 0.641921 | − | 1.76366i | −0.00368677 | − | 0.999993i | \(-0.501174\pi\) |
0.645607 | − | 0.763669i | \(-0.276604\pi\) | |||||||
\(504\) | 1.58045 | + | 2.12183i | 0.0703988 | + | 0.0945140i | ||||
\(505\) | 4.94465 | − | 8.56438i | 0.220034 | − | 0.381110i | ||||
\(506\) | 12.6505 | + | 7.30377i | 0.562383 | + | 0.324692i | ||||
\(507\) | 10.6950 | + | 3.89266i | 0.474982 | + | 0.172879i | ||||
\(508\) | 3.03750 | + | 8.34547i | 0.134767 | + | 0.370270i | ||||
\(509\) | −17.4265 | − | 6.34275i | −0.772418 | − | 0.281137i | −0.0744107 | − | 0.997228i | \(-0.523708\pi\) |
−0.698008 | + | 0.716090i | \(0.745930\pi\) | |||||||
\(510\) | −14.1316 | − | 2.49179i | −0.625759 | − | 0.110338i | ||||
\(511\) | 1.41252 | + | 4.71397i | 0.0624862 | + | 0.208534i | ||||
\(512\) | − | 1.00000i | − | 0.0441942i | ||||||
\(513\) | −4.17639 | + | 1.24810i | −0.184392 | + | 0.0551048i | ||||
\(514\) | 9.31824 | + | 5.37989i | 0.411010 | + | 0.237297i | ||||
\(515\) | −25.4666 | − | 4.49045i | −1.12219 | − | 0.197873i | ||||
\(516\) | −10.3858 | + | 3.78011i | −0.457208 | + | 0.166410i | ||||
\(517\) | −0.236325 | − | 0.281641i | −0.0103936 | − | 0.0123866i | ||||
\(518\) | −3.79032 | − | 3.57424i | −0.166537 | − | 0.157043i | ||||
\(519\) | 3.76834 | + | 21.3713i | 0.165412 | + | 0.938096i | ||||
\(520\) | −1.27849 | + | 2.21441i | −0.0560654 | + | 0.0971081i | ||||
\(521\) | 15.7410 | + | 27.2643i | 0.689627 | + | 1.19447i | 0.971959 | + | 0.235152i | \(0.0755588\pi\) |
−0.282332 | + | 0.959317i | \(0.591108\pi\) | |||||||
\(522\) | −6.34188 | + | 5.32147i | −0.277577 | + | 0.232914i | ||||
\(523\) | −3.48719 | − | 19.7769i | −0.152484 | − | 0.864781i | −0.961050 | − | 0.276375i | \(-0.910867\pi\) |
0.808565 | − | 0.588406i | \(-0.200244\pi\) | |||||||
\(524\) | −13.4962 | − | 7.79204i | −0.589585 | − | 0.340397i | ||||
\(525\) | 2.53743 | + | 0.147168i | 0.110742 | + | 0.00642296i | ||||
\(526\) | −17.6854 | + | 3.11840i | −0.771118 | + | 0.135969i | ||||
\(527\) | 10.0980 | + | 1.78055i | 0.439877 | + | 0.0775622i | ||||
\(528\) | −0.373850 | − | 2.12021i | −0.0162697 | − | 0.0922703i | ||||
\(529\) | 17.6467 | + | 14.8074i | 0.767248 | + | 0.643798i | ||||
\(530\) | 7.18225 | − | 8.55947i | 0.311977 | − | 0.371800i | ||||
\(531\) | 1.06715 | 0.0463102 | ||||||||
\(532\) | 4.56520 | + | 10.5905i | 0.197926 | + | 0.459157i | ||||
\(533\) | −1.52392 | −0.0660082 | ||||||||
\(534\) | 2.83019 | − | 3.37288i | 0.122474 | − | 0.145959i | ||||
\(535\) | −20.9790 | − | 17.6034i | −0.906999 | − | 0.761063i | ||||
\(536\) | 1.04951 | + | 5.95205i | 0.0453318 | + | 0.257089i | ||||
\(537\) | 22.0894 | + | 3.89495i | 0.953227 | + | 0.168080i | ||||
\(538\) | −4.79449 | + | 0.845399i | −0.206705 | + | 0.0364477i | ||||
\(539\) | 8.99355 | − | 12.0927i | 0.387380 | − | 0.520870i | ||||
\(540\) | −1.74055 | − | 1.00490i | −0.0749011 | − | 0.0432442i | ||||
\(541\) | −7.31121 | − | 41.4639i | −0.314334 | − | 1.78267i | −0.575932 | − | 0.817497i | \(-0.695361\pi\) |
0.261599 | − | 0.965177i | \(-0.415750\pi\) | |||||||
\(542\) | −13.7008 | + | 11.4964i | −0.588501 | + | 0.493811i | ||||
\(543\) | −9.78863 | − | 16.9544i | −0.420070 | − | 0.727583i | ||||
\(544\) | −3.56990 | + | 6.18325i | −0.153058 | + | 0.265105i | ||||
\(545\) | 3.03659 | + | 17.2214i | 0.130073 | + | 0.737683i | ||||
\(546\) | −3.27551 | − | 0.775468i | −0.140179 | − | 0.0331870i | ||||
\(547\) | −9.06800 | − | 10.8068i | −0.387720 | − | 0.462066i | 0.536515 | − | 0.843891i | \(-0.319740\pi\) |
−0.924235 | + | 0.381824i | \(0.875296\pi\) | |||||||
\(548\) | −0.639816 | + | 0.232874i | −0.0273316 | + | 0.00994788i | ||||
\(549\) | −1.51559 | − | 0.267239i | −0.0646837 | − | 0.0114055i | ||||
\(550\) | −1.79115 | − | 1.03412i | −0.0763750 | − | 0.0440951i | ||||
\(551\) | −32.2557 | + | 16.1796i | −1.37414 | + | 0.689275i | ||||
\(552\) | − | 6.78499i | − | 0.288789i | ||||||
\(553\) | −20.0991 | − | 4.75841i | −0.854701 | − | 0.202348i | ||||
\(554\) | −2.91566 | − | 0.514110i | −0.123875 | − | 0.0218424i | ||||
\(555\) | 3.71886 | + | 1.35356i | 0.157857 | + | 0.0574552i | ||||
\(556\) | −6.31681 | − | 17.3553i | −0.267893 | − | 0.736029i | ||||
\(557\) | −6.08977 | − | 2.21650i | −0.258032 | − | 0.0939159i | 0.209765 | − | 0.977752i | \(-0.432730\pi\) |
−0.467797 | + | 0.883836i | \(0.654952\pi\) | |||||||
\(558\) | 1.24374 | + | 0.718073i | 0.0526517 | + | 0.0303985i | ||||
\(559\) | 7.03063 | − | 12.1774i | 0.297364 | − | 0.515050i | ||||
\(560\) | −2.10495 | + | 4.88308i | −0.0889502 | + | 0.206348i | ||||
\(561\) | −5.25733 | + | 14.4444i | −0.221965 | + | 0.609843i | ||||
\(562\) | −4.02285 | −0.169693 | ||||||||
\(563\) | −16.7826 | −0.707302 | −0.353651 | − | 0.935378i | \(-0.615060\pi\) | ||||
−0.353651 | + | 0.935378i | \(0.615060\pi\) | |||||||
\(564\) | −0.0584072 | + | 0.160472i | −0.00245938 | + | 0.00675710i | ||||
\(565\) | −1.36915 | + | 7.76484i | −0.0576006 | + | 0.326669i | ||||
\(566\) | −2.94975 | + | 2.47513i | −0.123987 | + | 0.104038i | ||||
\(567\) | 0.609525 | − | 2.57458i | 0.0255977 | − | 0.108122i | ||||
\(568\) | 1.88659 | − | 0.686663i | 0.0791596 | − | 0.0288117i | ||||
\(569\) | 21.7244 | − | 12.5426i | 0.910734 | − | 0.525812i | 0.0300666 | − | 0.999548i | \(-0.490428\pi\) |
0.880667 | + | 0.473736i | \(0.157095\pi\) | |||||||
\(570\) | −6.36924 | − | 6.01498i | −0.266778 | − | 0.251940i | ||||
\(571\) | −15.2419 | + | 26.3998i | −0.637856 | + | 1.10480i | 0.348047 | + | 0.937477i | \(0.386845\pi\) |
−0.985902 | + | 0.167321i | \(0.946488\pi\) | |||||||
\(572\) | 2.09823 | + | 1.76063i | 0.0877315 | + | 0.0736155i | ||||
\(573\) | 4.63063 | − | 26.2616i | 0.193448 | − | 1.09710i | ||||
\(574\) | −3.14760 | + | 0.368679i | −0.131378 | + | 0.0153884i | ||||
\(575\) | −4.99318 | − | 4.18978i | −0.208230 | − | 0.174726i | ||||
\(576\) | −0.766044 | + | 0.642788i | −0.0319185 | + | 0.0267828i | ||||
\(577\) | 21.5795i | 0.898365i | 0.893440 | + | 0.449182i | \(0.148285\pi\) | ||||
−0.893440 | + | 0.449182i | \(0.851715\pi\) | |||||||
\(578\) | 29.4248 | − | 16.9884i | 1.22391 | − | 0.706624i | ||||
\(579\) | 8.40945 | − | 1.48281i | 0.349485 | − | 0.0616236i | ||||
\(580\) | −15.6352 | − | 5.69076i | −0.649218 | − | 0.236296i | ||||
\(581\) | −0.704364 | + | 12.1444i | −0.0292220 | + | 0.503835i | ||||
\(582\) | −1.85336 | + | 1.07004i | −0.0768243 | + | 0.0443545i | ||||
\(583\) | −7.69366 | − | 9.16895i | −0.318639 | − | 0.379739i | ||||
\(584\) | −1.74781 | + | 0.636151i | −0.0723249 | + | 0.0263241i | ||||
\(585\) | 2.51813 | − | 0.444014i | 0.104112 | − | 0.0183577i | ||||
\(586\) | 3.32111 | + | 9.12468i | 0.137194 | + | 0.376937i | ||||
\(587\) | −1.13181 | − | 3.10963i | −0.0467149 | − | 0.128348i | 0.914141 | − | 0.405396i | \(-0.132866\pi\) |
−0.960856 | + | 0.277048i | \(0.910644\pi\) | |||||||
\(588\) | −6.95306 | − | 0.809265i | −0.286740 | − | 0.0333735i | ||||
\(589\) | 4.55126 | + | 4.29812i | 0.187532 | + | 0.177101i | ||||
\(590\) | 1.07238 | + | 1.85742i | 0.0441492 | + | 0.0764686i | ||||
\(591\) | −2.54697 | + | 14.4446i | −0.104768 | + | 0.594170i | ||||
\(592\) | 1.26572 | − | 1.50843i | 0.0520207 | − | 0.0619959i | ||||
\(593\) | 5.39287 | − | 14.8168i | 0.221459 | − | 0.608452i | −0.778354 | − | 0.627826i | \(-0.783945\pi\) |
0.999812 | + | 0.0193736i | \(0.00616718\pi\) | |||||||
\(594\) | −1.38387 | + | 1.64923i | −0.0567808 | + | 0.0676688i | ||||
\(595\) | 30.4475 | − | 22.6789i | 1.24823 | − | 0.929744i | ||||
\(596\) | 3.20842 | + | 5.55715i | 0.131422 | + | 0.227630i | ||||
\(597\) | − | 5.72536i | − | 0.234323i | ||||||
\(598\) | 5.54867 | + | 6.61265i | 0.226902 | + | 0.270411i | ||||
\(599\) | 10.1785 | + | 12.1302i | 0.415881 | + | 0.495627i | 0.932794 | − | 0.360411i | \(-0.117363\pi\) |
−0.516913 | + | 0.856038i | \(0.672919\pi\) | |||||||
\(600\) | 0.960670i | 0.0392192i | ||||||||
\(601\) | 12.2931 | + | 21.2923i | 0.501447 | + | 0.868531i | 0.999999 | + | 0.00167126i | \(0.000531978\pi\) |
−0.498552 | + | 0.866860i | \(0.666135\pi\) | |||||||
\(602\) | 11.5755 | − | 26.8530i | 0.471781 | − | 1.09444i | ||||
\(603\) | 3.88493 | − | 4.62987i | 0.158206 | − | 0.188543i | ||||
\(604\) | 0.0733443 | − | 0.201512i | 0.00298434 | − | 0.00819940i | ||||
\(605\) | −8.22274 | + | 9.79948i | −0.334302 | + | 0.398406i | ||||
\(606\) | −0.854439 | + | 4.84576i | −0.0347092 | + | 0.196846i | ||||
\(607\) | 23.1675 | + | 40.1273i | 0.940339 | + | 1.62872i | 0.764825 | + | 0.644239i | \(0.222826\pi\) |
0.175515 | + | 0.984477i | \(0.443841\pi\) | |||||||
\(608\) | −3.89621 | + | 1.95436i | −0.158012 | + | 0.0792597i | ||||
\(609\) | 1.26825 | − | 21.8667i | 0.0513921 | − | 0.886085i | ||||
\(610\) | −1.05788 | − | 2.90650i | −0.0428323 | − | 0.117681i | ||||
\(611\) | −0.0743084 | − | 0.204161i | −0.00300620 | − | 0.00825946i | ||||
\(612\) | 7.03133 | − | 1.23981i | 0.284225 | − | 0.0501165i | ||||
\(613\) | −36.2426 | + | 13.1912i | −1.46383 | + | 0.532789i | −0.946416 | − | 0.322950i | \(-0.895326\pi\) |
−0.517409 | + | 0.855738i | \(0.673103\pi\) | |||||||
\(614\) | −6.21053 | − | 7.40142i | −0.250636 | − | 0.298697i | ||||
\(615\) | 2.08485 | − | 1.20369i | 0.0840693 | − | 0.0485374i | ||||
\(616\) | 4.75977 | + | 3.12889i | 0.191777 | + | 0.126067i | ||||
\(617\) | −20.0997 | − | 7.31570i | −0.809184 | − | 0.294519i | −0.0958973 | − | 0.995391i | \(-0.530572\pi\) |
−0.713287 | + | 0.700872i | \(0.752794\pi\) | |||||||
\(618\) | 12.6712 | − | 2.23427i | 0.509709 | − | 0.0898754i | ||||
\(619\) | 12.0846 | − | 6.97702i | 0.485719 | − | 0.280430i | −0.237078 | − | 0.971491i | \(-0.576190\pi\) |
0.722797 | + | 0.691061i | \(0.242856\pi\) | |||||||
\(620\) | 2.88638i | 0.115920i | ||||||||
\(621\) | −5.19761 | + | 4.36131i | −0.208573 | + | 0.175013i | ||||
\(622\) | −23.8361 | − | 20.0009i | −0.955742 | − | 0.801963i | ||||
\(623\) | 1.35521 | + | 11.5701i | 0.0542953 | + | 0.463547i | ||||
\(624\) | 0.220924 | − | 1.25292i | 0.00884402 | − | 0.0501569i | ||||
\(625\) | −14.7646 | − | 12.3889i | −0.590582 | − | 0.495558i | ||||
\(626\) | −5.94558 | + | 10.2980i | −0.237633 | + | 0.411593i | ||||
\(627\) | −7.53016 | + | 5.60025i | −0.300726 | + | 0.223653i | ||||
\(628\) | 7.81113 | − | 4.50976i | 0.311698 | − | 0.179959i | ||||
\(629\) | −13.2112 | + | 4.80848i | −0.526765 | + | 0.191727i | ||||
\(630\) | 5.09369 | − | 1.52630i | 0.202938 | − | 0.0608094i | ||||
\(631\) | −6.39120 | + | 5.36285i | −0.254430 | + | 0.213492i | −0.761077 | − | 0.648662i | \(-0.775329\pi\) |
0.506647 | + | 0.862153i | \(0.330885\pi\) | |||||||
\(632\) | 1.35563 | − | 7.68814i | 0.0539239 | − | 0.305818i | ||||
\(633\) | 5.62221 | − | 15.4469i | 0.223463 | − | 0.613959i | ||||
\(634\) | 6.66340 | 0.264638 | ||||||||
\(635\) | 17.8492 | 0.708326 | ||||||||
\(636\) | −1.90147 | + | 5.22425i | −0.0753983 | + | 0.207155i | ||||
\(637\) | 7.43825 | − | 4.89741i | 0.294714 | − | 0.194042i | ||||
\(638\) | −8.91172 | + | 15.4356i | −0.352819 | + | 0.611100i | ||||
\(639\) | −1.73869 | − | 1.00383i | −0.0687815 | − | 0.0397110i | ||||
\(640\) | −1.88860 | − | 0.687395i | −0.0746536 | − | 0.0271717i | ||||
\(641\) | 0.146564 | + | 0.402682i | 0.00578894 | + | 0.0159050i | 0.942553 | − | 0.334055i | \(-0.108417\pi\) |
−0.936765 | + | 0.349960i | \(0.886195\pi\) | |||||||
\(642\) | 12.8045 | + | 4.66044i | 0.505351 | + | 0.183933i | ||||
\(643\) | 12.0843 | + | 2.13079i | 0.476560 | + | 0.0840303i | 0.406768 | − | 0.913531i | \(-0.366656\pi\) |
0.0697912 | + | 0.997562i | \(0.477767\pi\) | |||||||
\(644\) | 13.0604 | + | 12.3158i | 0.514651 | + | 0.485311i | ||||
\(645\) | 22.2130i | 0.874636i | ||||||||
\(646\) | 31.0681 | + | 1.82481i | 1.22236 | + | 0.0717962i | ||||
\(647\) | 31.0999 | + | 17.9556i | 1.22267 | + | 0.705906i | 0.965485 | − | 0.260458i | \(-0.0838734\pi\) |
0.257180 | + | 0.966364i | \(0.417207\pi\) | |||||||
\(648\) | 0.984808 | + | 0.173648i | 0.0386869 | + | 0.00682154i | ||||
\(649\) | 2.15892 | − | 0.785784i | 0.0847452 | − | 0.0308447i | ||||
\(650\) | −0.785622 | − | 0.936268i | −0.0308146 | − | 0.0367234i | ||||
\(651\) | −3.63979 | + | 1.09065i | −0.142655 | + | 0.0427459i | ||||
\(652\) | 4.17573 | + | 23.6817i | 0.163534 | + | 0.927448i | ||||
\(653\) | 10.5502 | − | 18.2734i | 0.412859 | − | 0.715093i | −0.582342 | − | 0.812944i | \(-0.697863\pi\) |
0.995201 | + | 0.0978507i | \(0.0311968\pi\) | |||||||
\(654\) | −4.35043 | − | 7.53516i | −0.170115 | − | 0.294648i | ||||
\(655\) | −23.9933 | + | 20.1328i | −0.937496 | + | 0.786652i | ||||
\(656\) | −0.207998 | − | 1.17962i | −0.00812097 | − | 0.0460563i | ||||
\(657\) | 1.61079 | + | 0.929991i | 0.0628429 | + | 0.0362824i | ||||
\(658\) | −0.202874 | − | 0.403710i | −0.00790884 | − | 0.0157382i | ||||
\(659\) | −27.8512 | + | 4.91092i | −1.08493 | + | 0.191302i | −0.687394 | − | 0.726285i | \(-0.741246\pi\) |
−0.397535 | + | 0.917587i | \(0.630134\pi\) | |||||||
\(660\) | −4.26122 | − | 0.751368i | −0.165868 | − | 0.0292469i | ||||
\(661\) | 1.16198 | + | 6.58989i | 0.0451956 | + | 0.256317i | 0.999031 | − | 0.0440130i | \(-0.0140143\pi\) |
−0.953835 | + | 0.300330i | \(0.902903\pi\) | |||||||
\(662\) | 25.4256 | + | 21.3346i | 0.988192 | + | 0.829192i | ||||
\(663\) | −5.83883 | + | 6.95844i | −0.226761 | + | 0.270244i | ||||
\(664\) | −4.59787 | −0.178432 | ||||||||
\(665\) | 23.1394 | − | 1.34197i | 0.897306 | − | 0.0520395i | ||||
\(666\) | −1.96911 | −0.0763014 | ||||||||
\(667\) | −36.1061 | + | 43.0296i | −1.39804 | + | 1.66611i | ||||
\(668\) | −11.2887 | − | 9.47232i | −0.436772 | − | 0.366495i | ||||
\(669\) | −1.65303 | − | 9.37480i | −0.0639099 | − | 0.362451i | ||||
\(670\) | 11.9625 | + | 2.10931i | 0.462151 | + | 0.0814897i | ||||
\(671\) | −3.26294 | + | 0.575344i | −0.125964 | + | 0.0222109i | ||||
\(672\) | 0.153194 | − | 2.64131i | 0.00590957 | − | 0.101891i | ||||
\(673\) | 7.79878 | + | 4.50263i | 0.300621 | + | 0.173564i | 0.642722 | − | 0.766100i | \(-0.277805\pi\) |
−0.342101 | + | 0.939663i | \(0.611138\pi\) | |||||||
\(674\) | −3.61420 | − | 20.4972i | −0.139214 | − | 0.789521i | ||||
\(675\) | 0.735916 | − | 0.617507i | 0.0283254 | − | 0.0237678i | ||||
\(676\) | −5.69069 | − | 9.85657i | −0.218873 | − | 0.379099i | ||||
\(677\) | −17.2923 | + | 29.9511i | −0.664596 | + | 1.15111i | 0.314798 | + | 0.949159i | \(0.398063\pi\) |
−0.979395 | + | 0.201956i | \(0.935270\pi\) | |||||||
\(678\) | −0.681235 | − | 3.86347i | −0.0261627 | − | 0.148376i | ||||
\(679\) | 1.30443 | − | 5.50981i | 0.0500595 | − | 0.211447i | ||||
\(680\) | 9.22377 | + | 10.9925i | 0.353715 | + | 0.421542i | ||||
\(681\) | −11.7448 | + | 4.27475i | −0.450061 | + | 0.163809i | ||||
\(682\) | 3.04493 | + | 0.536904i | 0.116597 | + | 0.0205591i | ||||
\(683\) | −27.0097 | − | 15.5940i | −1.03350 | − | 0.596689i | −0.115512 | − | 0.993306i | \(-0.536851\pi\) |
−0.917984 | + | 0.396617i | \(0.870184\pi\) | |||||||
\(684\) | 4.00156 | + | 1.72844i | 0.153004 | + | 0.0660884i | ||||
\(685\) | 1.36843i | 0.0522852i | ||||||||
\(686\) | 14.1786 | − | 11.9150i | 0.541343 | − | 0.454915i | ||||
\(687\) | 12.5566 | + | 2.21406i | 0.479063 | + | 0.0844718i | ||||
\(688\) | 10.3858 | + | 3.78011i | 0.395953 | + | 0.144115i | ||||
\(689\) | −2.41914 | − | 6.64654i | −0.0921621 | − | 0.253213i | ||||
\(690\) | −12.8142 | − | 4.66397i | −0.487827 | − | 0.177554i | ||||
\(691\) | −44.2386 | − | 25.5412i | −1.68292 | − | 0.971632i | −0.959707 | − | 0.281003i | \(-0.909333\pi\) |
−0.723209 | − | 0.690629i | \(-0.757334\pi\) | |||||||
\(692\) | 10.8505 | − | 18.7936i | 0.412474 | − | 0.714426i | ||||
\(693\) | −0.662653 | − | 5.65741i | −0.0251721 | − | 0.214907i | ||||
\(694\) | 5.07007 | − | 13.9299i | 0.192457 | − | 0.528772i | ||||
\(695\) | −37.1194 | −1.40802 | ||||||||
\(696\) | 8.27874 | 0.313805 | ||||||||
\(697\) | −2.92501 | + | 8.03640i | −0.110793 | + | 0.304400i | ||||
\(698\) | 2.95453 | − | 16.7560i | 0.111831 | − | 0.634223i | ||||
\(699\) | −18.9628 | + | 15.9117i | −0.717238 | + | 0.601834i | ||||
\(700\) | −1.84919 | − | 1.74377i | −0.0698926 | − | 0.0659081i | ||||
\(701\) | 15.7604 | − | 5.73631i | 0.595262 | − | 0.216657i | −0.0267805 | − | 0.999641i | \(-0.508526\pi\) |
0.622042 | + | 0.782984i | \(0.286303\pi\) | |||||||
\(702\) | −1.10180 | + | 0.636124i | −0.0415847 | + | 0.0240090i | ||||
\(703\) | −8.35082 | − | 1.98351i | −0.314957 | − | 0.0748094i | ||||
\(704\) | −1.07646 | + | 1.86448i | −0.0405706 | + | 0.0702703i | ||||
\(705\) | 0.262920 | + | 0.220616i | 0.00990213 | + | 0.00830887i | ||||
\(706\) | 4.46874 | − | 25.3435i | 0.168183 | − | 0.953815i | ||||
\(707\) | −7.77663 | − | 10.4405i | −0.292470 | − | 0.392656i | ||||
\(708\) | −0.817481 | − | 0.685948i | −0.0307228 | − | 0.0257795i | ||||
\(709\) | −28.5647 | + | 23.9686i | −1.07277 | + | 0.900159i | −0.995300 | − | 0.0968354i | \(-0.969128\pi\) |
−0.0774678 | + | 0.996995i | \(0.524684\pi\) | |||||||
\(710\) | − | 4.03503i | − | 0.151432i | ||||||
\(711\) | −6.76083 | + | 3.90337i | −0.253551 | + | 0.146388i | ||||
\(712\) | −4.33610 | + | 0.764571i | −0.162502 | + | 0.0286535i | ||||
\(713\) | 9.15660 | + | 3.33273i | 0.342917 | + | 0.124812i | ||||
\(714\) | −10.3765 | + | 15.7850i | −0.388329 | + | 0.590739i | ||||
\(715\) | 4.76744 | − | 2.75248i | 0.178292 | − | 0.102937i | ||||
\(716\) | −14.4178 | − | 17.1825i | −0.538819 | − | 0.642140i | ||||
\(717\) | −19.6948 | + | 7.16831i | −0.735515 | + | 0.267706i | ||||
\(718\) | 4.44477 | − | 0.783733i | 0.165877 | − | 0.0292487i | ||||
\(719\) | −4.05965 | − | 11.1538i | −0.151399 | − | 0.415966i | 0.840687 | − | 0.541521i | \(-0.182151\pi\) |
−0.992087 | + | 0.125555i | \(0.959929\pi\) | |||||||
\(720\) | 0.687395 | + | 1.88860i | 0.0256177 | + | 0.0703841i | ||||
\(721\) | −18.6994 | + | 28.4462i | −0.696403 | + | 1.05939i | ||||
\(722\) | 15.2292 | + | 11.3610i | 0.566772 | + | 0.422811i | ||||
\(723\) | −4.48413 | − | 7.76674i | −0.166767 | − | 0.288848i | ||||
\(724\) | −3.39956 | + | 19.2798i | −0.126343 | + | 0.716529i | ||||
\(725\) | 5.11217 | − | 6.09245i | 0.189861 | − | 0.226268i | ||||
\(726\) | 2.17694 | − | 5.98109i | 0.0807938 | − | 0.221979i | ||||
\(727\) | 12.4790 | − | 14.8719i | 0.462820 | − | 0.551568i | −0.483270 | − | 0.875472i | \(-0.660551\pi\) |
0.946090 | + | 0.323904i | \(0.104995\pi\) | |||||||
\(728\) | 2.01072 | + | 2.69950i | 0.0745224 | + | 0.100050i | ||||
\(729\) | −0.500000 | − | 0.866025i | −0.0185185 | − | 0.0320750i | ||||
\(730\) | 3.73821i | 0.138357i | ||||||||
\(731\) | −50.7232 | − | 60.4495i | −1.87606 | − | 2.23581i | ||||
\(732\) | 0.989229 | + | 1.17892i | 0.0365630 | + | 0.0435740i | ||||
\(733\) | 23.4744i | 0.867048i | 0.901142 | + | 0.433524i | \(0.142730\pi\) | ||||
−0.901142 | + | 0.433524i | \(0.857270\pi\) | |||||||
\(734\) | −13.4779 | − | 23.3443i | −0.497477 | − | 0.861655i | ||||
\(735\) | −6.30788 | + | 12.5753i | −0.232670 | + | 0.463846i | ||||
\(736\) | −4.36131 | + | 5.19761i | −0.160760 | + | 0.191586i | ||||
\(737\) | 4.45035 | − | 12.2272i | 0.163931 | − | 0.450396i | ||||
\(738\) | −0.769940 | + | 0.917579i | −0.0283419 | + | 0.0337766i | ||||
\(739\) | 6.23667 | − | 35.3699i | 0.229419 | − | 1.30110i | −0.624634 | − | 0.780917i | \(-0.714752\pi\) |
0.854054 | − | 0.520185i | \(-0.174137\pi\) | |||||||
\(740\) | −1.97877 | − | 3.42732i | −0.0727409 | − | 0.125991i | ||||
\(741\) | −5.31341 | + | 1.58789i | −0.195193 | + | 0.0583326i | ||||
\(742\) | −6.60465 | − | 13.1430i | −0.242464 | − | 0.482493i | ||||
\(743\) | 16.9598 | + | 46.5968i | 0.622196 | + | 1.70947i | 0.701547 | + | 0.712623i | \(0.252493\pi\) |
−0.0793515 | + | 0.996847i | \(0.525285\pi\) | |||||||
\(744\) | −0.491191 | − | 1.34954i | −0.0180079 | − | 0.0494764i | ||||
\(745\) | 12.7007 | − | 2.23948i | 0.465318 | − | 0.0820481i | ||||
\(746\) | 28.4662 | − | 10.3609i | 1.04222 | − | 0.379338i | ||||
\(747\) | 2.95545 | + | 3.52217i | 0.108134 | + | 0.128870i | ||||
\(748\) | 13.3120 | − | 7.68571i | 0.486736 | − | 0.281017i | ||||
\(749\) | −32.2129 | + | 16.1878i | −1.17703 | + | 0.591488i | ||||
\(750\) | 11.2573 | + | 4.09733i | 0.411060 | + | 0.149614i | ||||
\(751\) | 29.5532 | − | 5.21102i | 1.07841 | − | 0.190153i | 0.393898 | − | 0.919154i | \(-0.371126\pi\) |
0.684513 | + | 0.729001i | \(0.260015\pi\) | |||||||
\(752\) | 0.147892 | − | 0.0853855i | 0.00539307 | − | 0.00311369i | ||||
\(753\) | − | 23.9432i | − | 0.872537i | ||||||
\(754\) | −8.06845 | + | 6.77023i | −0.293836 | + | 0.246557i | ||||
\(755\) | −0.330159 | − | 0.277036i | −0.0120157 | − | 0.0100824i | ||||
\(756\) | −2.12183 | + | 1.58045i | −0.0771703 | + | 0.0574804i | ||||
\(757\) | 5.03558 | − | 28.5582i | 0.183021 | − | 1.03796i | −0.745451 | − | 0.666561i | \(-0.767766\pi\) |
0.928472 | − | 0.371403i | \(-0.121123\pi\) | |||||||
\(758\) | 5.83031 | + | 4.89221i | 0.211766 | + | 0.177693i | ||||
\(759\) | −7.30377 | + | 12.6505i | −0.265110 | + | 0.459184i | ||||
\(760\) | 1.01277 | + | 8.70181i | 0.0367370 | + | 0.315648i | ||||
\(761\) | −17.8153 | + | 10.2856i | −0.645803 | + | 0.372854i | −0.786846 | − | 0.617149i | \(-0.788288\pi\) |
0.141044 | + | 0.990003i | \(0.454954\pi\) | |||||||
\(762\) | −8.34547 | + | 3.03750i | −0.302325 | + | 0.110037i | ||||
\(763\) | 22.4011 | + | 5.30339i | 0.810973 | + | 0.191996i | ||||
\(764\) | −20.4279 | + | 17.1411i | −0.739056 | + | 0.620142i | ||||
\(765\) | 2.49179 | − | 14.1316i | 0.0900908 | − | 0.510930i | ||||
\(766\) | 12.1290 | − | 33.3240i | 0.438237 | − | 1.20405i | ||||
\(767\) | 1.35768 | 0.0490228 | ||||||||
\(768\) | 1.00000 | 0.0360844 | ||||||||
\(769\) | 11.6613 | − | 32.0391i | 0.420516 | − | 1.15536i | −0.530896 | − | 0.847437i | \(-0.678144\pi\) |
0.951412 | − | 0.307921i | \(-0.0996334\pi\) | |||||||
\(770\) | 9.18108 | − | 6.83853i | 0.330863 | − | 0.246444i | ||||
\(771\) | −5.37989 | + | 9.31824i | −0.193752 | + | 0.335588i | ||||
\(772\) | −7.39515 | − | 4.26959i | −0.266157 | − | 0.153666i | ||||
\(773\) | −43.7733 | − | 15.9322i | −1.57442 | − | 0.573041i | −0.600437 | − | 0.799672i | \(-0.705007\pi\) |
−0.973981 | + | 0.226631i | \(0.927229\pi\) | |||||||
\(774\) | −3.78011 | − | 10.3858i | −0.135873 | − | 0.373308i | ||||
\(775\) | −1.29646 | − | 0.471872i | −0.0465702 | − | 0.0169502i | ||||
\(776\) | 2.10757 | + | 0.371621i | 0.0756572 | + | 0.0133404i | ||||
\(777\) | 3.57424 | − | 3.79032i | 0.128225 | − | 0.135977i | ||||
\(778\) | − | 3.08893i | − | 0.110744i | ||||||
\(779\) | −4.18954 | + | 3.11580i | −0.150106 | + | 0.111635i | ||||
\(780\) | −2.21441 | − | 1.27849i | −0.0792885 | − | 0.0457772i | ||||
\(781\) | −4.25668 | − | 0.750567i | −0.152316 | − | 0.0268574i | ||||
\(782\) | 45.5220 | − | 16.5687i | 1.62786 | − | 0.592494i | ||||
\(783\) | −5.32147 | − | 6.34188i | −0.190174 | − | 0.226640i | ||||
\(784\) | 4.80617 | + | 5.08928i | 0.171649 | + | 0.181760i | ||||
\(785\) | −3.14781 | − | 17.8521i | −0.112350 | − | 0.637169i | ||||
\(786\) | 7.79204 | − | 13.4962i | 0.277933 | − | 0.481394i | ||||
\(787\) | 16.2555 | + | 28.1553i | 0.579445 | + | 1.00363i | 0.995543 | + | 0.0943080i | \(0.0300639\pi\) |
−0.416098 | + | 0.909320i | \(0.636603\pi\) | |||||||
\(788\) | 11.2359 | − | 9.42803i | 0.400262 | − | 0.335860i | ||||
\(789\) | −3.11840 | − | 17.6854i | −0.111018 | − | 0.629615i | ||||
\(790\) | −13.5880 | − | 7.84502i | −0.483439 | − | 0.279113i | ||||
\(791\) | 8.67332 | + | 5.70150i | 0.308388 | + | 0.202722i | ||||
\(792\) | 2.12021 | − | 0.373850i | 0.0753384 | − | 0.0132842i | ||||
\(793\) | −1.92820 | − | 0.339994i | −0.0684725 | − | 0.0120736i | ||||
\(794\) | 1.45322 | + | 8.24161i | 0.0515728 | + | 0.292484i | ||||
\(795\) | 8.55947 | + | 7.18225i | 0.303573 | + | 0.254728i | ||||
\(796\) | −3.68019 | + | 4.38588i | −0.130441 | + | 0.155453i | ||||
\(797\) | 2.74213 | 0.0971312 | 0.0485656 | − | 0.998820i | \(-0.484535\pi\) | ||||
0.0485656 | + | 0.998820i | \(0.484535\pi\) | |||||||
\(798\) | −10.5905 | + | 4.56520i | −0.374900 | + | 0.161606i | ||||
\(799\) | −1.21927 | −0.0431347 | ||||||||
\(800\) | 0.617507 | − | 0.735916i | 0.0218322 | − | 0.0260185i | ||||
\(801\) | 3.37288 | + | 2.83019i | 0.119175 | + | 0.0999997i | ||||
\(802\) | −0.702135 | − | 3.98201i | −0.0247932 | − | 0.140609i | ||||
\(803\) | 3.94355 | + | 0.695355i | 0.139165 | + | 0.0245385i | ||||
\(804\) | −5.95205 | + | 1.04951i | −0.209913 | + | 0.0370133i | ||||
\(805\) | 32.2373 | − | 16.2000i | 1.13622 | − | 0.570976i | ||||
\(806\) | 1.58235 | + | 0.913568i | 0.0557357 | + | 0.0321790i | ||||
\(807\) | −0.845399 | − | 4.79449i | −0.0297594 | − | 0.168774i | ||||
\(808\) | 3.76933 | − | 3.16285i | 0.132605 | − | 0.111269i | ||||
\(809\) | −20.3504 | − | 35.2479i | −0.715481 | − | 1.23925i | −0.962774 | − | 0.270308i | \(-0.912874\pi\) |
0.247293 | − | 0.968941i | \(-0.420459\pi\) | |||||||
\(810\) | 1.00490 | − | 1.74055i | 0.0353087 | − | 0.0611565i | ||||
\(811\) | −3.15946 | − | 17.9182i | −0.110944 | − | 0.629193i | −0.988679 | − | 0.150047i | \(-0.952057\pi\) |
0.877735 | − | 0.479146i | \(-0.159054\pi\) | |||||||
\(812\) | −15.0272 | + | 15.9357i | −0.527351 | + | 0.559233i | ||||
\(813\) | −11.4964 | − | 13.7008i | −0.403195 | − | 0.480509i | ||||
\(814\) | −3.98367 | + | 1.44994i | −0.139628 | + | 0.0508203i | ||||
\(815\) | 47.5957 | + | 8.39241i | 1.66721 | + | 0.293973i | ||||
\(816\) | −6.18325 | − | 3.56990i | −0.216457 | − | 0.124972i | ||||
\(817\) | −5.56939 | − | 47.8528i | −0.194848 | − | 1.67416i | ||||
\(818\) | 31.3938i | 1.09766i | ||||||||
\(819\) | 0.775468 | − | 3.27551i | 0.0270970 | − | 0.114456i | ||||
\(820\) | −2.37080 | − | 0.418037i | −0.0827921 | − | 0.0145985i | ||||
\(821\) | 15.7490 | + | 5.73218i | 0.549645 | + | 0.200055i | 0.601889 | − | 0.798580i | \(-0.294415\pi\) |
−0.0522436 | + | 0.998634i | \(0.516637\pi\) | |||||||
\(822\) | −0.232874 | − | 0.639816i | −0.00812241 | − | 0.0223161i | ||||
\(823\) | 13.6587 | + | 4.97134i | 0.476111 | + | 0.173290i | 0.568919 | − | 0.822394i | \(-0.307362\pi\) |
−0.0928077 | + | 0.995684i | \(0.529584\pi\) | |||||||
\(824\) | −11.1428 | − | 6.43332i | −0.388179 | − | 0.224115i | ||||
\(825\) | 1.03412 | − | 1.79115i | 0.0360035 | − | 0.0623599i | ||||
\(826\) | 2.80423 | − | 0.328460i | 0.0975717 | − | 0.0114286i | ||||
\(827\) | 9.71568 | − | 26.6936i | 0.337847 | − | 0.928228i | −0.648157 | − | 0.761507i | \(-0.724460\pi\) |
0.986004 | − | 0.166721i | \(-0.0533179\pi\) | |||||||
\(828\) | 6.78499 | 0.235795 | ||||||||
\(829\) | 7.77470 | 0.270027 | 0.135013 | − | 0.990844i | \(-0.456892\pi\) | ||||
0.135013 | + | 0.990844i | \(0.456892\pi\) | |||||||
\(830\) | −3.16055 | + | 8.68354i | −0.109704 | + | 0.301410i | ||||
\(831\) | 0.514110 | − | 2.91566i | 0.0178343 | − | 0.101143i | ||||
\(832\) | −0.974599 | + | 0.817786i | −0.0337881 | + | 0.0283516i | ||||
\(833\) | −11.5495 | − | 48.6258i | −0.400168 | − | 1.68479i | ||||
\(834\) | 17.3553 | − | 6.31681i | 0.600965 | − | 0.218733i | ||||
\(835\) | −25.6492 | + | 14.8086i | −0.887628 | + | 0.512472i | ||||
\(836\) | 9.36821 | + | 0.550249i | 0.324006 | + | 0.0190308i | ||||
\(837\) | −0.718073 | + | 1.24374i | −0.0248202 | + | 0.0429899i | ||||
\(838\) | −5.25063 | − | 4.40580i | −0.181380 | − | 0.152196i | ||||
\(839\) | −6.12644 | + | 34.7448i | −0.211508 | + | 1.19952i | 0.675356 | + | 0.737492i | \(0.263990\pi\) |
−0.886864 | + | 0.462030i | \(0.847121\pi\) | |||||||
\(840\) | −4.88308 | − | 2.10495i | −0.168482 | − | 0.0726276i | ||||
\(841\) | −30.2875 | − | 25.4142i | −1.04440 | − | 0.876352i | ||||
\(842\) | −24.1026 | + | 20.2244i | −0.830629 | + | 0.696980i | ||||
\(843\) | − | 4.02285i | − | 0.138554i | ||||||
\(844\) | −14.2359 | + | 8.21912i | −0.490021 | + | 0.282914i | ||||
\(845\) | −22.5269 | + | 3.97210i | −0.774949 | + | 0.136644i | ||||
\(846\) | −0.160472 | − | 0.0584072i | −0.00551715 | − | 0.00200808i | ||||
\(847\) | 7.56147 | + | 15.0470i | 0.259815 | + | 0.517020i | ||||
\(848\) | 4.81470 | − | 2.77977i | 0.165337 | − | 0.0954575i | ||||
\(849\) | −2.47513 | − | 2.94975i | −0.0849463 | − | 0.101235i | ||||
\(850\) | −6.44534 | + | 2.34591i | −0.221074 | + | 0.0804642i | ||||
\(851\) | −13.1574 | + | 2.32001i | −0.451031 | + | 0.0795289i | ||||
\(852\) | 0.686663 | + | 1.88659i | 0.0235247 | + | 0.0646335i | ||||
\(853\) | −12.8313 | − | 35.2537i | −0.439335 | − | 1.20706i | −0.939926 | − | 0.341379i | \(-0.889106\pi\) |
0.500591 | − | 0.865684i | \(-0.333116\pi\) | |||||||
\(854\) | −4.06489 | − | 0.235760i | −0.139098 | − | 0.00806754i | ||||
\(855\) | 6.01498 | − | 6.36924i | 0.205708 | − | 0.217824i | ||||
\(856\) | −6.81311 | − | 11.8006i | −0.232867 | − | 0.403338i | ||||
\(857\) | 0.924947 | − | 5.24563i | 0.0315956 | − | 0.179187i | −0.964926 | − | 0.262522i | \(-0.915446\pi\) |
0.996522 | + | 0.0833344i | \(0.0265570\pi\) | |||||||
\(858\) | −1.76063 | + | 2.09823i | −0.0601068 | + | 0.0716325i | ||||
\(859\) | 6.86834 | − | 18.8706i | 0.234345 | − | 0.643857i | −0.765655 | − | 0.643252i | \(-0.777585\pi\) |
1.00000 | 0.000605784i | \(-0.000192827\pi\) | ||||||||
\(860\) | 14.2782 | − | 17.0161i | 0.486884 | − | 0.580246i | ||||
\(861\) | −0.368679 | − | 3.14760i | −0.0125645 | − | 0.107270i | ||||
\(862\) | −15.9758 | − | 27.6710i | −0.544139 | − | 0.942477i | ||||
\(863\) | − | 30.5352i | − | 1.03943i | −0.854340 | − | 0.519714i | \(-0.826038\pi\) | ||
0.854340 | − | 0.519714i | \(-0.173962\pi\) | |||||||
\(864\) | −0.642788 | − | 0.766044i | −0.0218681 | − | 0.0260614i | ||||
\(865\) | −28.0351 | − | 33.4109i | −0.953221 | − | 1.13601i | ||||
\(866\) | − | 4.36102i | − | 0.148193i | ||||||
\(867\) | 16.9884 | + | 29.4248i | 0.576956 | + | 0.999318i | ||||
\(868\) | 3.48930 | + | 1.50413i | 0.118435 | + | 0.0510535i | ||||
\(869\) | −10.8035 | + | 12.8751i | −0.366484 | + | 0.436758i | ||||
\(870\) | 5.69076 | − | 15.6352i | 0.192935 | − | 0.530084i | ||||
\(871\) | 4.94259 | − | 5.89035i | 0.167473 | − | 0.199587i | ||||
\(872\) | −1.51089 | + | 8.56867i | −0.0511651 | + | 0.290172i | ||||
\(873\) | −1.07004 | − | 1.85336i | −0.0362153 | − | 0.0627268i | ||||
\(874\) | 28.7746 | + | 6.83461i | 0.973314 | + | 0.231184i | ||||
\(875\) | −28.3207 | + | 14.2318i | −0.957416 | + | 0.481124i | ||||
\(876\) | −0.636151 | − | 1.74781i | −0.0214936 | − | 0.0590531i | ||||
\(877\) | −19.4498 | − | 53.4380i | −0.656774 | − | 1.80447i | −0.591052 | − | 0.806634i | \(-0.701287\pi\) |
−0.0657224 | − | 0.997838i | \(-0.520935\pi\) | |||||||
\(878\) | 26.1718 | − | 4.61480i | 0.883256 | − | 0.155742i | ||||
\(879\) | −9.12468 | + | 3.32111i | −0.307768 | + | 0.112018i | ||||
\(880\) | 2.78131 | + | 3.31464i | 0.0937580 | + | 0.111736i | ||||
\(881\) | −32.3036 | + | 18.6505i | −1.08834 | + | 0.628352i | −0.933133 | − | 0.359531i | \(-0.882937\pi\) |
−0.155204 | + | 0.987882i | \(0.549603\pi\) | |||||||
\(882\) | 0.809265 | − | 6.95306i | 0.0272494 | − | 0.234122i | ||||
\(883\) | 40.6929 | + | 14.8110i | 1.36943 | + | 0.498431i | 0.918956 | − | 0.394361i | \(-0.129034\pi\) |
0.450471 | + | 0.892791i | \(0.351256\pi\) | |||||||
\(884\) | 8.94560 | − | 1.57735i | 0.300873 | − | 0.0530521i | ||||
\(885\) | −1.85742 | + | 1.07238i | −0.0624364 | + | 0.0360476i | ||||
\(886\) | − | 5.83463i | − | 0.196018i | ||||||
\(887\) | −34.0048 | + | 28.5334i | −1.14177 | + | 0.958059i | −0.999495 | − | 0.0317680i | \(-0.989886\pi\) |
−0.142275 | + | 0.989827i | \(0.545442\pi\) | |||||||
\(888\) | 1.50843 | + | 1.26572i | 0.0506194 | + | 0.0424747i | ||||
\(889\) | 9.30147 | − | 21.5777i | 0.311961 | − | 0.723692i | ||||
\(890\) | −1.53664 | + | 8.71472i | −0.0515083 | + | 0.292118i | ||||
\(891\) | −1.64923 | − | 1.38387i | −0.0552513 | − | 0.0463614i | ||||
\(892\) | −4.75971 | + | 8.24406i | −0.159367 | + | 0.276032i | ||||
\(893\) | −0.621715 | − | 0.409345i | −0.0208049 | − | 0.0136982i | ||||
\(894\) | −5.55715 | + | 3.20842i | −0.185859 | + | 0.107306i | ||||
\(895\) | −42.3616 | + | 15.4184i | −1.41599 | + | 0.515379i | ||||
\(896\) | −1.81516 | + | 1.92489i | −0.0606401 | + | 0.0643061i | ||||
\(897\) | −6.61265 | + | 5.54867i | −0.220790 | + | 0.185265i | ||||
\(898\) | 5.72723 | − | 32.4808i | 0.191120 | − | 1.08390i | ||||
\(899\) | −4.06644 | + | 11.1725i | −0.135623 | + | 0.372622i | ||||
\(900\) | −0.960670 | −0.0320223 | ||||||||
\(901\) | −39.6940 | −1.32240 | ||||||||
\(902\) | −0.882001 | + | 2.42328i | −0.0293674 | + | 0.0806863i | ||||
\(903\) | 26.8530 | + | 11.5755i | 0.893610 | + | 0.385208i | ||||
\(904\) | −1.96154 | + | 3.39748i | −0.0652397 | + | 0.112999i | ||||
\(905\) | 34.0751 | + | 19.6733i | 1.13269 | + | 0.653962i | ||||
\(906\) | 0.201512 | + | 0.0733443i | 0.00669478 | + | 0.00243670i | ||||
\(907\) | 15.8184 | + | 43.4606i | 0.525240 | + | 1.44308i | 0.864616 | + | 0.502434i | \(0.167562\pi\) |
−0.339376 | + | 0.940651i | \(0.610216\pi\) | |||||||
\(908\) | 11.7448 | + | 4.27475i | 0.389764 | + | 0.141863i | ||||
\(909\) | −4.84576 | − | 0.854439i | −0.160724 | − | 0.0283399i | ||||
\(910\) | 6.48044 | − | 1.94184i | 0.214825 | − | 0.0643713i | ||||
\(911\) | − | 36.9367i | − | 1.22377i | −0.790948 | − | 0.611884i | \(-0.790412\pi\) | ||
0.790948 | − | 0.611884i | \(-0.209588\pi\) | |||||||
\(912\) | −1.95436 | − | 3.89621i | −0.0647153 | − | 0.129017i | ||||
\(913\) | 8.57264 | + | 4.94942i | 0.283713 | + | 0.163802i | ||||
\(914\) | 35.8437 | + | 6.32020i | 1.18560 | + | 0.209054i | ||||
\(915\) | 2.90650 | − | 1.05788i | 0.0960859 | − | 0.0349724i | ||||
\(916\) | −8.19572 | − | 9.76728i | −0.270794 | − | 0.322720i | ||||
\(917\) | 11.8350 | + | 39.4966i | 0.390825 | + | 1.30429i | ||||
\(918\) | 1.23981 | + | 7.03133i | 0.0409200 | + | 0.232069i | ||||
\(919\) | −1.29120 | + | 2.23643i | −0.0425928 | + | 0.0737730i | −0.886536 | − | 0.462660i | \(-0.846895\pi\) |
0.843943 | + | 0.536433i | \(0.180228\pi\) | |||||||
\(920\) | 6.81827 | + | 11.8096i | 0.224792 | + | 0.389351i | ||||
\(921\) | 7.40142 | − | 6.21053i | 0.243885 | − | 0.204644i | ||||
\(922\) | 0.580094 | + | 3.28988i | 0.0191044 | + | 0.108346i | ||||
\(923\) | −2.21205 | − | 1.27713i | −0.0728104 | − | 0.0420371i | ||||
\(924\) | −3.12889 | + | 4.75977i | −0.102933 | + | 0.156585i | ||||
\(925\) | 1.86292 | − | 0.328484i | 0.0612526 | − | 0.0108005i | ||||
\(926\) | −26.3600 | − | 4.64798i | −0.866244 | − | 0.152742i | ||||
\(927\) | 2.23427 | + | 12.6712i | 0.0733830 | + | 0.416176i | ||||
\(928\) | −6.34188 | − | 5.32147i | −0.208182 | − | 0.174686i | ||||
\(929\) | −5.13420 | + | 6.11870i | −0.168448 | + | 0.200748i | −0.843664 | − | 0.536872i | \(-0.819606\pi\) |
0.675216 | + | 0.737620i | \(0.264050\pi\) | |||||||
\(930\) | −2.88638 | −0.0946481 | ||||||||
\(931\) | 10.4359 | − | 28.6721i | 0.342024 | − | 0.939691i | ||||
\(932\) | 24.7541 | 0.810849 | ||||||||
\(933\) | 20.0009 | − | 23.8361i | 0.654800 | − | 0.780360i | ||||
\(934\) | 19.5891 | + | 16.4372i | 0.640976 | + | 0.537843i | ||||
\(935\) | −5.36462 | − | 30.4243i | −0.175442 | − | 0.994980i | ||||
\(936\) | 1.25292 | + | 0.220924i | 0.0409530 | + | 0.00722111i | ||||
\(937\) | 46.4360 | − | 8.18792i | 1.51700 | − | 0.267488i | 0.647746 | − | 0.761856i | \(-0.275712\pi\) |
0.869252 | + | 0.494369i | \(0.164601\pi\) | |||||||
\(938\) | 8.78371 | − | 13.3621i | 0.286798 | − | 0.436287i | ||||
\(939\) | −10.2980 | − | 5.94558i | −0.336064 | − | 0.194027i | ||||
\(940\) | −0.0595990 | − | 0.338003i | −0.00194391 | − | 0.0110244i | ||||
\(941\) | −28.9793 | + | 24.3165i | −0.944698 | + | 0.792695i | −0.978397 | − | 0.206737i | \(-0.933716\pi\) |
0.0336990 | + | 0.999432i | \(0.489271\pi\) | |||||||
\(942\) | 4.50976 | + | 7.81113i | 0.146936 | + | 0.254500i | ||||
\(943\) | −4.06358 | + | 7.03833i | −0.132328 | + | 0.229200i | ||||
\(944\) | 0.185308 | + | 1.05093i | 0.00603126 | + | 0.0342050i | ||||
\(945\) | 1.52630 | + | 5.09369i | 0.0496506 | + | 0.165698i | ||||
\(946\) | −15.2949 | − | 18.2278i | −0.497281 | − | 0.592637i | ||||
\(947\) | 32.3218 | − | 11.7642i | 1.05032 | − | 0.382284i | 0.241534 | − | 0.970392i | \(-0.422349\pi\) |
0.808782 | + | 0.588108i | \(0.200127\pi\) | |||||||
\(948\) | 7.68814 | + | 1.35563i | 0.249699 | + | 0.0440287i | ||||
\(949\) | 2.04933 | + | 1.18318i | 0.0665240 | + | 0.0384076i | ||||
\(950\) | −4.07411 | − | 0.967694i | −0.132182 | − | 0.0313962i | ||||
\(951\) | 6.66340i | 0.216076i | ||||||||
\(952\) | 18.0952 | − | 5.42216i | 0.586470 | − | 0.175733i | ||||
\(953\) | 11.8079 | + | 2.08205i | 0.382495 | + | 0.0674443i | 0.361590 | − | 0.932337i | \(-0.382234\pi\) |
0.0209054 | + | 0.999781i | \(0.493345\pi\) | |||||||
\(954\) | −5.22425 | − | 1.90147i | −0.169141 | − | 0.0615624i | ||||
\(955\) | 18.3306 | + | 50.3629i | 0.593164 | + | 1.62971i | ||||
\(956\) | 19.6948 | + | 7.16831i | 0.636975 | + | 0.231840i | ||||
\(957\) | −15.4356 | − | 8.91172i | −0.498961 | − | 0.288075i | ||||
\(958\) | −9.46785 | + | 16.3988i | −0.305892 | + | 0.529821i | ||||
\(959\) | 1.65428 | + | 0.713108i | 0.0534194 | + | 0.0230275i | ||||
\(960\) | 0.687395 | − | 1.88860i | 0.0221856 | − | 0.0609544i | ||||
\(961\) | −28.9375 | −0.933467 | ||||||||
\(962\) | −2.50520 | −0.0807708 | ||||||||
\(963\) | −4.66044 | + | 12.8045i | −0.150181 | + | 0.412618i | ||||
\(964\) | −1.55732 | + | 8.83201i | −0.0501580 | + | 0.284460i | ||||
\(965\) | −13.1469 | + | 11.0316i | −0.423215 | + | 0.355120i | ||||
\(966\) | −12.3158 | + | 13.0604i | −0.396255 | + | 0.420211i | ||||
\(967\) | −24.0938 | + | 8.76944i | −0.774806 | + | 0.282006i | −0.699005 | − | 0.715117i | \(-0.746373\pi\) |
−0.0758006 | + | 0.997123i | \(0.524151\pi\) | |||||||
\(968\) | −5.51220 | + | 3.18247i | −0.177169 | + | 0.102288i | ||||
\(969\) | −1.82481 | + | 31.0681i | −0.0586214 | + | 0.998052i | ||||
\(970\) | 2.15057 | − | 3.72490i | 0.0690507 | − | 0.119599i | ||||
\(971\) | 18.1620 | + | 15.2397i | 0.582847 | + | 0.489066i | 0.885881 | − | 0.463913i | \(-0.153555\pi\) |
−0.303034 | + | 0.952980i | \(0.598000\pi\) | |||||||
\(972\) | −0.173648 | + | 0.984808i | −0.00556977 | + | 0.0315877i | ||||
\(973\) | −19.3434 | + | 44.8731i | −0.620121 | + | 1.43856i | ||||
\(974\) | −6.91457 | − | 5.80201i | −0.221557 | − | 0.185908i | ||||
\(975\) | 0.936268 | − | 0.785622i | 0.0299846 | − | 0.0251600i | ||||
\(976\) | − | 1.53897i | − | 0.0492612i | ||||||
\(977\) | 6.44756 | − | 3.72250i | 0.206276 | − | 0.119093i | −0.393304 | − | 0.919409i | \(-0.628668\pi\) |
0.599579 | + | 0.800315i | \(0.295335\pi\) | |||||||
\(978\) | −23.6817 | + | 4.17573i | −0.757258 | + | 0.133525i | ||||
\(979\) | 8.90760 | + | 3.24210i | 0.284688 | + | 0.103618i | ||||
\(980\) | 12.9154 | − | 5.57860i | 0.412566 | − | 0.178202i | ||||
\(981\) | 7.53516 | − | 4.35043i | 0.240579 | − | 0.138898i | ||||
\(982\) | −12.7251 | − | 15.1652i | −0.406075 | − | 0.483941i | ||||
\(983\) | −7.42459 | + | 2.70233i | −0.236808 | + | 0.0861909i | −0.457698 | − | 0.889108i | \(-0.651326\pi\) |
0.220890 | + | 0.975299i | \(0.429104\pi\) | |||||||
\(984\) | 1.17962 | − | 0.207998i | 0.0376048 | − | 0.00663074i | ||||
\(985\) | −10.0823 | − | 27.7009i | −0.321249 | − | 0.882624i | ||||
\(986\) | 20.2163 | + | 55.5439i | 0.643819 | + | 1.76888i | ||||
\(987\) | 0.403710 | − | 0.202874i | 0.0128502 | − | 0.00645754i | ||||
\(988\) | 5.09098 | + | 2.19900i | 0.161966 | + | 0.0699595i | ||||
\(989\) | −37.4949 | − | 64.9430i | −1.19227 | − | 2.06507i | ||||
\(990\) | 0.751368 | − | 4.26122i | 0.0238800 | − | 0.135430i | ||||
\(991\) | 2.66517 | − | 3.17622i | 0.0846618 | − | 0.100896i | −0.722051 | − | 0.691840i | \(-0.756800\pi\) |
0.806712 | + | 0.590944i | \(0.201245\pi\) | |||||||
\(992\) | −0.491191 | + | 1.34954i | −0.0155953 | + | 0.0428478i | ||||
\(993\) | −21.3346 | + | 25.4256i | −0.677032 | + | 0.806855i | ||||
\(994\) | −4.87788 | − | 2.10270i | −0.154717 | − | 0.0666937i | ||||
\(995\) | 5.75343 | + | 9.96524i | 0.182396 | + | 0.315919i | ||||
\(996\) | − | 4.59787i | − | 0.145689i | ||||||
\(997\) | 33.8397 | + | 40.3286i | 1.07171 | + | 1.27722i | 0.958943 | + | 0.283597i | \(0.0915279\pi\) |
0.112770 | + | 0.993621i | \(0.464028\pi\) | |||||||
\(998\) | 22.3200 | + | 26.6000i | 0.706529 | + | 0.842008i | ||||
\(999\) | − | 1.96911i | − | 0.0622999i |
(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 | 798.2.ca.b.451.10 | ✓ | 84 | |
7.5 | odd | 6 | 798.2.cj.b.565.3 | yes | 84 | ||
19.15 | odd | 18 | 798.2.cj.b.661.3 | yes | 84 | ||
133.110 | even | 18 | inner | 798.2.ca.b.775.10 | yes | 84 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
798.2.ca.b.451.10 | ✓ | 84 | 1.1 | even | 1 | trivial | |
798.2.ca.b.775.10 | yes | 84 | 133.110 | even | 18 | inner | |
798.2.cj.b.565.3 | yes | 84 | 7.5 | odd | 6 | ||
798.2.cj.b.661.3 | yes | 84 | 19.15 | odd | 18 |