Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [576,2,Mod(13,576)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(576, base_ring=CyclotomicField(48))
chi = DirichletCharacter(H, H._module([0, 45, 16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("576.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 576 = 2^{6} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 576.bm (of order \(48\), degree \(16\), 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: | \(4.59938315643\) |
Analytic rank: | \(0\) |
Dimension: | \(1504\) |
Relative dimension: | \(94\) over \(\Q(\zeta_{48})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{48}]$ |
Embedding invariants
Embedding label | 205.65 | ||
Character | \(\chi\) | \(=\) | 576.205 |
Dual form | 576.2.bm.a.517.65 |
$q$-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 \(\left(\mathbb{Z}/576\mathbb{Z}\right)^\times\).
\(n\) | \(65\) | \(127\) | \(325\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(1\) | \(e\left(\frac{15}{16}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.782397 | − | 1.17807i | 0.553238 | − | 0.833023i | ||||
\(3\) | −0.422226 | + | 1.67980i | −0.243772 | + | 0.969832i | ||||
\(4\) | −0.775711 | − | 1.84344i | −0.387856 | − | 0.921720i | ||||
\(5\) | −0.0860861 | − | 0.0981624i | −0.0384989 | − | 0.0438996i | 0.732270 | − | 0.681015i | \(-0.238461\pi\) |
−0.770769 | + | 0.637115i | \(0.780128\pi\) | |||||||
\(6\) | 1.64858 | + | 1.81168i | 0.673029 | + | 0.739616i | ||||
\(7\) | −3.69234 | − | 0.486106i | −1.39557 | − | 0.183731i | −0.605062 | − | 0.796178i | \(-0.706852\pi\) |
−0.790511 | + | 0.612448i | \(0.790185\pi\) | |||||||
\(8\) | −2.77862 | − | 0.528457i | −0.982391 | − | 0.186838i | ||||
\(9\) | −2.64345 | − | 1.41851i | −0.881150 | − | 0.472837i | ||||
\(10\) | −0.182996 | + | 0.0246138i | −0.0578684 | + | 0.00778356i | ||||
\(11\) | 2.51386 | + | 5.09761i | 0.757957 | + | 1.53699i | 0.841363 | + | 0.540470i | \(0.181754\pi\) |
−0.0834057 | + | 0.996516i | \(0.526580\pi\) | |||||||
\(12\) | 3.42414 | − | 0.524690i | 0.988463 | − | 0.151465i | ||||
\(13\) | 2.15615 | + | 6.35182i | 0.598009 | + | 1.76168i | 0.646566 | + | 0.762858i | \(0.276204\pi\) |
−0.0485573 | + | 0.998820i | \(0.515462\pi\) | |||||||
\(14\) | −3.46154 | + | 3.96952i | −0.925136 | + | 1.06090i | ||||
\(15\) | 0.201241 | − | 0.103161i | 0.0519602 | − | 0.0266360i | ||||
\(16\) | −2.79654 | + | 2.85995i | −0.699136 | + | 0.714989i | ||||
\(17\) | −0.490212 | − | 0.490212i | −0.118894 | − | 0.118894i | 0.645157 | − | 0.764050i | \(-0.276792\pi\) |
−0.764050 | + | 0.645157i | \(0.776792\pi\) | |||||||
\(18\) | −3.73933 | + | 2.00434i | −0.881370 | + | 0.472427i | ||||
\(19\) | −0.255708 | + | 1.28553i | −0.0586635 | + | 0.294921i | −0.998968 | − | 0.0454120i | \(-0.985540\pi\) |
0.940305 | + | 0.340333i | \(0.110540\pi\) | |||||||
\(20\) | −0.114179 | + | 0.234840i | −0.0255311 | + | 0.0525119i | ||||
\(21\) | 2.37556 | − | 5.99714i | 0.518390 | − | 1.30868i | ||||
\(22\) | 7.97219 | + | 1.02684i | 1.69968 | + | 0.218923i | ||||
\(23\) | 0.753805 | + | 5.72572i | 0.157179 | + | 1.19389i | 0.870181 | + | 0.492732i | \(0.164002\pi\) |
−0.713002 | + | 0.701162i | \(0.752665\pi\) | |||||||
\(24\) | 2.06091 | − | 4.44440i | 0.420681 | − | 0.907209i | ||||
\(25\) | 0.650406 | − | 4.94032i | 0.130081 | − | 0.988065i | ||||
\(26\) | 9.16987 | + | 2.42954i | 1.79836 | + | 0.476472i | ||||
\(27\) | 3.49895 | − | 3.84153i | 0.673373 | − | 0.739303i | ||||
\(28\) | 1.96808 | + | 7.18369i | 0.371932 | + | 1.35759i | ||||
\(29\) | −7.24329 | + | 0.474750i | −1.34504 | + | 0.0881589i | −0.720840 | − | 0.693102i | \(-0.756244\pi\) |
−0.624205 | + | 0.781261i | \(0.714577\pi\) | |||||||
\(30\) | 0.0359195 | − | 0.317789i | 0.00655797 | − | 0.0580201i | ||||
\(31\) | −4.69271 | + | 2.70934i | −0.842836 | + | 0.486611i | −0.858227 | − | 0.513270i | \(-0.828434\pi\) |
0.0153915 | + | 0.999882i | \(0.495101\pi\) | |||||||
\(32\) | 1.18123 | + | 5.53215i | 0.208813 | + | 0.977955i | ||||
\(33\) | −9.62437 | + | 2.07044i | −1.67539 | + | 0.360417i | ||||
\(34\) | −0.961046 | + | 0.193965i | −0.164818 | + | 0.0332648i | ||||
\(35\) | 0.270142 | + | 0.404296i | 0.0456623 | + | 0.0683385i | ||||
\(36\) | −0.564386 | + | 5.97340i | −0.0940643 | + | 0.995566i | ||||
\(37\) | 0.531839 | + | 2.67373i | 0.0874338 | + | 0.439559i | 0.999560 | + | 0.0296505i | \(0.00943945\pi\) |
−0.912127 | + | 0.409909i | \(0.865561\pi\) | |||||||
\(38\) | 1.31439 | + | 1.30704i | 0.213221 | + | 0.212030i | ||||
\(39\) | −11.5802 | + | 0.939998i | −1.85431 | + | 0.150520i | ||||
\(40\) | 0.187326 | + | 0.318249i | 0.0296188 | + | 0.0503196i | ||||
\(41\) | −1.02879 | − | 7.81440i | −0.160669 | − | 1.22040i | −0.861754 | − | 0.507326i | \(-0.830634\pi\) |
0.701085 | − | 0.713078i | \(-0.252699\pi\) | |||||||
\(42\) | −5.20644 | − | 7.49073i | −0.803371 | − | 1.15584i | ||||
\(43\) | −2.75289 | + | 1.35757i | −0.419812 | + | 0.207028i | −0.639911 | − | 0.768449i | \(-0.721029\pi\) |
0.220099 | + | 0.975478i | \(0.429362\pi\) | |||||||
\(44\) | 7.44710 | − | 8.58842i | 1.12269 | − | 1.29475i | ||||
\(45\) | 0.0883200 | + | 0.381601i | 0.0131660 | + | 0.0568858i | ||||
\(46\) | 7.33508 | + | 3.59174i | 1.08150 | + | 0.529574i | ||||
\(47\) | −3.95872 | + | 1.06074i | −0.577439 | + | 0.154724i | −0.535706 | − | 0.844404i | \(-0.679955\pi\) |
−0.0417330 | + | 0.999129i | \(0.513288\pi\) | |||||||
\(48\) | −3.62337 | − | 5.90518i | −0.522989 | − | 0.852339i | ||||
\(49\) | 6.63559 | + | 1.77800i | 0.947942 | + | 0.254000i | ||||
\(50\) | −5.31119 | − | 4.63152i | −0.751115 | − | 0.654996i | ||||
\(51\) | 1.03044 | − | 0.616477i | 0.144290 | − | 0.0863241i | ||||
\(52\) | 10.0367 | − | 8.90192i | 1.39183 | − | 1.23447i | ||||
\(53\) | 3.43976 | − | 5.14797i | 0.472487 | − | 0.707127i | −0.516308 | − | 0.856403i | \(-0.672694\pi\) |
0.988796 | + | 0.149275i | \(0.0476941\pi\) | |||||||
\(54\) | −1.78804 | − | 7.12762i | −0.243322 | − | 0.969946i | ||||
\(55\) | 0.283985 | − | 0.685600i | 0.0382925 | − | 0.0924462i | ||||
\(56\) | 10.0027 | + | 3.30195i | 1.33667 | + | 0.441241i | ||||
\(57\) | −2.05147 | − | 0.972324i | −0.271724 | − | 0.128787i | ||||
\(58\) | −5.10783 | + | 8.90456i | −0.670692 | + | 1.16923i | ||||
\(59\) | −3.69366 | − | 4.21181i | −0.480873 | − | 0.548331i | 0.459632 | − | 0.888109i | \(-0.347981\pi\) |
−0.940505 | + | 0.339779i | \(0.889648\pi\) | |||||||
\(60\) | −0.346275 | − | 0.290953i | −0.0447040 | − | 0.0375618i | ||||
\(61\) | 0.118670 | + | 1.81055i | 0.0151941 | + | 0.231817i | 0.998701 | + | 0.0509482i | \(0.0162243\pi\) |
−0.983507 | + | 0.180869i | \(0.942109\pi\) | |||||||
\(62\) | −0.479764 | + | 7.64813i | −0.0609300 | + | 0.971313i | ||||
\(63\) | 9.07097 | + | 6.52262i | 1.14283 | + | 0.821773i | ||||
\(64\) | 7.44147 | + | 2.93677i | 0.930183 | + | 0.367096i | ||||
\(65\) | 0.437895 | − | 0.758457i | 0.0543142 | − | 0.0940750i | ||||
\(66\) | −5.09095 | + | 12.9581i | −0.626652 | + | 1.59503i | ||||
\(67\) | 7.81845 | + | 3.85563i | 0.955176 | + | 0.471041i | 0.851953 | − | 0.523618i | \(-0.175418\pi\) |
0.103223 | + | 0.994658i | \(0.467085\pi\) | |||||||
\(68\) | −0.523414 | + | 1.28394i | −0.0634732 | + | 0.155701i | ||||
\(69\) | −9.93633 | − | 1.15131i | −1.19619 | − | 0.138601i | ||||
\(70\) | 0.687648 | − | 0.00192706i | 0.0821897 | − | 0.000230328i | ||||
\(71\) | −2.55726 | − | 6.17376i | −0.303490 | − | 0.732691i | −0.999887 | − | 0.0150334i | \(-0.995215\pi\) |
0.696397 | − | 0.717657i | \(-0.254785\pi\) | |||||||
\(72\) | 6.59552 | + | 5.33845i | 0.777290 | + | 0.629143i | ||||
\(73\) | 3.06643 | − | 7.40302i | 0.358899 | − | 0.866458i | −0.636557 | − | 0.771230i | \(-0.719642\pi\) |
0.995455 | − | 0.0952281i | \(-0.0303581\pi\) | |||||||
\(74\) | 3.56596 | + | 1.46538i | 0.414535 | + | 0.170346i | ||||
\(75\) | 8.02413 | + | 3.17849i | 0.926547 | + | 0.367020i | ||||
\(76\) | 2.56816 | − | 0.525819i | 0.294588 | − | 0.0603155i | ||||
\(77\) | −6.80405 | − | 20.0441i | −0.775394 | − | 2.28424i | ||||
\(78\) | −7.95290 | + | 14.3777i | −0.900488 | + | 1.62796i | ||||
\(79\) | 4.42103 | + | 16.4995i | 0.497405 | + | 1.85634i | 0.516123 | + | 0.856514i | \(0.327375\pi\) |
−0.0187187 | + | 0.999825i | \(0.505959\pi\) | |||||||
\(80\) | 0.521484 | + | 0.0283132i | 0.0583036 | + | 0.00316551i | ||||
\(81\) | 4.97566 | + | 7.49952i | 0.552851 | + | 0.833280i | ||||
\(82\) | −10.0109 | − | 4.90198i | −1.10551 | − | 0.541333i | ||||
\(83\) | 2.87714 | + | 2.52318i | 0.315807 | + | 0.276955i | 0.802544 | − | 0.596594i | \(-0.203480\pi\) |
−0.486737 | + | 0.873549i | \(0.661813\pi\) | |||||||
\(84\) | −12.8981 | + | 0.272842i | −1.40730 | + | 0.0297695i | ||||
\(85\) | −0.00591994 | + | 0.0903208i | −0.000642108 | + | 0.00979667i | ||||
\(86\) | −0.554529 | + | 4.30526i | −0.0597964 | + | 0.464249i | ||||
\(87\) | 2.26082 | − | 12.3677i | 0.242386 | − | 1.32596i | ||||
\(88\) | −4.29120 | − | 15.4928i | −0.457443 | − | 1.65154i | ||||
\(89\) | 6.87796 | − | 2.84894i | 0.729062 | − | 0.301987i | 0.0128954 | − | 0.999917i | \(-0.495895\pi\) |
0.716166 | + | 0.697930i | \(0.245895\pi\) | |||||||
\(90\) | 0.518656 | + | 0.194516i | 0.0546711 | + | 0.0205038i | ||||
\(91\) | −4.87359 | − | 24.5012i | −0.510891 | − | 2.56842i | ||||
\(92\) | 9.97028 | − | 5.83110i | 1.03947 | − | 0.607934i | ||||
\(93\) | −2.56976 | − | 9.02676i | −0.266471 | − | 0.936032i | ||||
\(94\) | −1.84767 | + | 5.49358i | −0.190572 | + | 0.566620i | ||||
\(95\) | 0.148204 | − | 0.0855655i | 0.0152054 | − | 0.00877884i | ||||
\(96\) | −9.79165 | − | 0.351595i | −0.999356 | − | 0.0358845i | ||||
\(97\) | 6.08841 | + | 3.51515i | 0.618185 | + | 0.356909i | 0.776162 | − | 0.630534i | \(-0.217164\pi\) |
−0.157977 | + | 0.987443i | \(0.550497\pi\) | |||||||
\(98\) | 7.28628 | − | 6.42611i | 0.736025 | − | 0.649135i | ||||
\(99\) | 0.585741 | − | 17.0412i | 0.0588692 | − | 1.71271i | ||||
\(100\) | −9.61172 | + | 2.63328i | −0.961172 | + | 0.263328i | ||||
\(101\) | −2.35466 | − | 0.799300i | −0.234298 | − | 0.0795333i | 0.201821 | − | 0.979422i | \(-0.435314\pi\) |
−0.436119 | + | 0.899889i | \(0.643647\pi\) | |||||||
\(102\) | 0.0799561 | − | 1.69626i | 0.00791683 | − | 0.167955i | ||||
\(103\) | 6.72786 | + | 5.16247i | 0.662916 | + | 0.508673i | 0.884543 | − | 0.466458i | \(-0.154470\pi\) |
−0.221628 | + | 0.975131i | \(0.571137\pi\) | |||||||
\(104\) | −2.63446 | − | 18.7887i | −0.258330 | − | 1.84239i | ||||
\(105\) | −0.793197 | + | 0.283080i | −0.0774081 | + | 0.0276258i | ||||
\(106\) | −3.37342 | − | 8.08004i | −0.327656 | − | 0.784803i | ||||
\(107\) | −7.17013 | − | 4.79093i | −0.693163 | − | 0.463157i | 0.158423 | − | 0.987371i | \(-0.449359\pi\) |
−0.851586 | + | 0.524215i | \(0.824359\pi\) | |||||||
\(108\) | −9.79581 | − | 3.47018i | −0.942602 | − | 0.333918i | ||||
\(109\) | −2.52909 | + | 12.7146i | −0.242243 | + | 1.21784i | 0.647745 | + | 0.761857i | \(0.275712\pi\) |
−0.889989 | + | 0.455983i | \(0.849288\pi\) | |||||||
\(110\) | −0.585498 | − | 0.870966i | −0.0558250 | − | 0.0830433i | ||||
\(111\) | −4.71589 | − | 0.235538i | −0.447613 | − | 0.0223563i | ||||
\(112\) | 11.7160 | − | 9.20051i | 1.10706 | − | 0.869366i | ||||
\(113\) | −7.07939 | − | 1.89692i | −0.665973 | − | 0.178447i | −0.0900327 | − | 0.995939i | \(-0.528697\pi\) |
−0.575940 | + | 0.817492i | \(0.695364\pi\) | |||||||
\(114\) | −2.75053 | + | 1.65604i | −0.257611 | + | 0.155102i | ||||
\(115\) | 0.497158 | − | 0.566900i | 0.0463602 | − | 0.0528637i | ||||
\(116\) | 6.49387 | + | 12.9843i | 0.602941 | + | 1.20556i | ||||
\(117\) | 3.31044 | − | 19.8492i | 0.306051 | − | 1.83506i | ||||
\(118\) | −7.85172 | + | 1.05609i | −0.722809 | + | 0.0972211i | ||||
\(119\) | 1.57173 | + | 2.04832i | 0.144081 | + | 0.187770i | ||||
\(120\) | −0.613688 | + | 0.180297i | −0.0560218 | + | 0.0164588i | ||||
\(121\) | −12.9697 | + | 16.9025i | −1.17906 | + | 1.53659i | ||||
\(122\) | 2.22581 | + | 1.27677i | 0.201515 | + | 0.115593i | ||||
\(123\) | 13.5610 | + | 1.57129i | 1.22275 | + | 0.141679i | ||||
\(124\) | 8.63469 | + | 6.54907i | 0.775418 | + | 0.588124i | ||||
\(125\) | −1.08374 | + | 0.724132i | −0.0969327 | + | 0.0647684i | ||||
\(126\) | 14.7812 | − | 5.58299i | 1.31682 | − | 0.497372i | ||||
\(127\) | 15.9961 | 1.41942 | 0.709711 | − | 0.704493i | \(-0.248825\pi\) | ||||
0.709711 | + | 0.704493i | \(0.248825\pi\) | |||||||
\(128\) | 9.28190 | − | 6.46887i | 0.820412 | − | 0.571773i | ||||
\(129\) | −1.11811 | − | 5.19750i | −0.0984441 | − | 0.457615i | ||||
\(130\) | −0.550910 | − | 1.10929i | −0.0483180 | − | 0.0972909i | ||||
\(131\) | −10.6853 | − | 5.26940i | −0.933577 | − | 0.460389i | −0.0891253 | − | 0.996020i | \(-0.528407\pi\) |
−0.844452 | + | 0.535631i | \(0.820074\pi\) | |||||||
\(132\) | 11.2825 | + | 16.1359i | 0.982012 | + | 1.40445i | ||||
\(133\) | 1.56907 | − | 4.62232i | 0.136055 | − | 0.400806i | ||||
\(134\) | 10.6593 | − | 6.19407i | 0.920827 | − | 0.535086i | ||||
\(135\) | −0.678305 | − | 0.0127624i | −0.0583792 | − | 0.00109841i | ||||
\(136\) | 1.10306 | + | 1.62117i | 0.0945864 | + | 0.139014i | ||||
\(137\) | 7.36220 | + | 9.59461i | 0.628995 | + | 0.819723i | 0.993779 | − | 0.111370i | \(-0.0355237\pi\) |
−0.364784 | + | 0.931092i | \(0.618857\pi\) | |||||||
\(138\) | −9.13047 | + | 10.8049i | −0.777238 | + | 0.919778i | ||||
\(139\) | −7.58228 | − | 0.496969i | −0.643121 | − | 0.0421524i | −0.259646 | − | 0.965704i | \(-0.583606\pi\) |
−0.383475 | + | 0.923551i | \(0.625273\pi\) | |||||||
\(140\) | 0.535743 | − | 0.811607i | 0.0452786 | − | 0.0685933i | ||||
\(141\) | −0.110348 | − | 7.09773i | −0.00929296 | − | 0.597737i | ||||
\(142\) | −9.27393 | − | 1.81770i | −0.778251 | − | 0.152538i | ||||
\(143\) | −26.9588 | + | 26.9588i | −2.25441 | + | 2.25441i | ||||
\(144\) | 11.4494 | − | 3.59322i | 0.954117 | − | 0.299435i | ||||
\(145\) | 0.670149 | + | 0.670149i | 0.0556529 | + | 0.0556529i | ||||
\(146\) | −6.32213 | − | 9.40458i | −0.523223 | − | 0.778328i | ||||
\(147\) | −5.78841 | + | 10.3957i | −0.477420 | + | 0.857426i | ||||
\(148\) | 4.51632 | − | 3.05446i | 0.371239 | − | 0.251075i | ||||
\(149\) | −0.802479 | + | 12.2435i | −0.0657417 | + | 1.00302i | 0.829804 | + | 0.558055i | \(0.188452\pi\) |
−0.895546 | + | 0.444969i | \(0.853215\pi\) | |||||||
\(150\) | 10.0225 | − | 6.96618i | 0.818337 | − | 0.568786i | ||||
\(151\) | −3.91208 | + | 3.00185i | −0.318361 | + | 0.244287i | −0.755562 | − | 0.655077i | \(-0.772636\pi\) |
0.437202 | + | 0.899364i | \(0.355970\pi\) | |||||||
\(152\) | 1.38987 | − | 3.43688i | 0.112733 | − | 0.278767i | ||||
\(153\) | 0.600480 | + | 1.99122i | 0.0485459 | + | 0.160981i | ||||
\(154\) | −28.9369 | − | 7.66676i | −2.33180 | − | 0.617805i | ||||
\(155\) | 0.669932 | + | 0.227411i | 0.0538103 | + | 0.0182661i | ||||
\(156\) | 10.7157 | + | 20.6182i | 0.857942 | + | 1.65078i | ||||
\(157\) | 6.60763 | − | 13.3990i | 0.527346 | − | 1.06935i | −0.456398 | − | 0.889776i | \(-0.650861\pi\) |
0.983744 | − | 0.179577i | \(-0.0574728\pi\) | |||||||
\(158\) | 22.8966 | + | 7.70086i | 1.82156 | + | 0.612648i | ||||
\(159\) | 7.19519 | + | 7.95171i | 0.570616 | + | 0.630612i | ||||
\(160\) | 0.441362 | − | 0.592194i | 0.0348927 | − | 0.0468170i | ||||
\(161\) | − | 21.5077i | − | 1.69505i | ||||||
\(162\) | 12.7279 | + | 0.00591671i | 1.00000 | + | 0.000464860i | ||||
\(163\) | 11.9102 | + | 17.8249i | 0.932880 | + | 1.39615i | 0.918138 | + | 0.396262i | \(0.129693\pi\) |
0.0147422 | + | 0.999891i | \(0.495307\pi\) | |||||||
\(164\) | −13.6073 | + | 7.95822i | −1.06255 | + | 0.621433i | ||||
\(165\) | 1.03176 | + | 0.766515i | 0.0803227 | + | 0.0596731i | ||||
\(166\) | 5.22355 | − | 1.41535i | 0.405426 | − | 0.109852i | ||||
\(167\) | −9.60004 | − | 7.36637i | −0.742874 | − | 0.570027i | 0.166483 | − | 0.986044i | \(-0.446759\pi\) |
−0.909357 | + | 0.416017i | \(0.863426\pi\) | |||||||
\(168\) | −9.77002 | + | 15.4084i | −0.753773 | + | 1.18878i | ||||
\(169\) | −25.3830 | + | 19.4771i | −1.95254 | + | 1.49824i | ||||
\(170\) | 0.101773 | + | 0.0776408i | 0.00780562 | + | 0.00595478i | ||||
\(171\) | 2.49949 | − | 3.03552i | 0.191141 | − | 0.232132i | ||||
\(172\) | 4.63805 | + | 4.02170i | 0.353648 | + | 0.306652i | ||||
\(173\) | −3.28132 | − | 2.87764i | −0.249474 | − | 0.218783i | 0.525471 | − | 0.850812i | \(-0.323889\pi\) |
−0.774945 | + | 0.632029i | \(0.782222\pi\) | |||||||
\(174\) | −12.8012 | − | 12.3399i | −0.970458 | − | 0.935484i | ||||
\(175\) | −4.80304 | + | 17.9252i | −0.363076 | + | 1.35502i | ||||
\(176\) | −21.6090 | − | 7.06615i | −1.62884 | − | 0.532631i | ||||
\(177\) | 8.63455 | − | 4.42626i | 0.649012 | − | 0.332698i | ||||
\(178\) | 2.02503 | − | 10.3317i | 0.151782 | − | 0.774396i | ||||
\(179\) | 19.7748 | + | 3.93345i | 1.47804 | + | 0.294000i | 0.867280 | − | 0.497820i | \(-0.165866\pi\) |
0.610755 | + | 0.791819i | \(0.290866\pi\) | |||||||
\(180\) | 0.634949 | − | 0.458825i | 0.0473263 | − | 0.0341988i | ||||
\(181\) | −3.58053 | + | 5.35865i | −0.266139 | + | 0.398305i | −0.940336 | − | 0.340246i | \(-0.889490\pi\) |
0.674198 | + | 0.738551i | \(0.264490\pi\) | |||||||
\(182\) | −32.6773 | − | 13.4282i | −2.42220 | − | 0.995365i | ||||
\(183\) | −3.09147 | − | 0.565120i | −0.228528 | − | 0.0417749i | ||||
\(184\) | 0.931259 | − | 16.3079i | 0.0686533 | − | 1.20224i | ||||
\(185\) | 0.216676 | − | 0.282378i | 0.0159304 | − | 0.0207608i | ||||
\(186\) | −12.6448 | − | 4.03515i | −0.927158 | − | 0.295871i | ||||
\(187\) | 1.26658 | − | 3.73123i | 0.0926217 | − | 0.272855i | ||||
\(188\) | 5.02623 | + | 6.47485i | 0.366576 | + | 0.472227i | ||||
\(189\) | −14.7867 | + | 12.4834i | −1.07557 | + | 0.908033i | ||||
\(190\) | 0.0151518 | − | 0.241541i | 0.00109922 | − | 0.0175232i | ||||
\(191\) | 6.28426 | − | 10.8847i | 0.454713 | − | 0.787587i | −0.543958 | − | 0.839112i | \(-0.683075\pi\) |
0.998672 | + | 0.0515257i | \(0.0164084\pi\) | |||||||
\(192\) | −8.07516 | + | 11.2602i | −0.582774 | + | 0.812634i | ||||
\(193\) | −8.84300 | − | 15.3165i | −0.636533 | − | 1.10251i | −0.986188 | − | 0.165629i | \(-0.947035\pi\) |
0.349655 | − | 0.936878i | \(-0.386299\pi\) | |||||||
\(194\) | 8.90465 | − | 4.42235i | 0.639317 | − | 0.317507i | ||||
\(195\) | 1.08916 | + | 1.05582i | 0.0779967 | + | 0.0756086i | ||||
\(196\) | −1.86966 | − | 13.6115i | −0.133547 | − | 0.972252i | ||||
\(197\) | 8.86353 | − | 1.76307i | 0.631500 | − | 0.125613i | 0.131046 | − | 0.991376i | \(-0.458166\pi\) |
0.500454 | + | 0.865763i | \(0.333166\pi\) | |||||||
\(198\) | −19.6175 | − | 14.0230i | −1.39415 | − | 0.996573i | ||||
\(199\) | −0.825122 | − | 1.99202i | −0.0584913 | − | 0.141211i | 0.891932 | − | 0.452170i | \(-0.149350\pi\) |
−0.950423 | + | 0.310959i | \(0.899350\pi\) | |||||||
\(200\) | −4.41798 | + | 13.3836i | −0.312398 | + | 0.946362i | ||||
\(201\) | −9.77785 | + | 11.5055i | −0.689676 | + | 0.811534i | ||||
\(202\) | −2.78391 | + | 2.14859i | −0.195875 | + | 0.151175i | ||||
\(203\) | 26.9755 | + | 1.76807i | 1.89331 | + | 0.124094i | ||||
\(204\) | −1.93576 | − | 1.42134i | −0.135530 | − | 0.0995139i | ||||
\(205\) | −0.678516 | + | 0.773700i | −0.0473896 | + | 0.0540375i | ||||
\(206\) | 11.3456 | − | 3.88681i | 0.790487 | − | 0.270807i | ||||
\(207\) | 6.12934 | − | 16.2049i | 0.426019 | − | 1.12632i | ||||
\(208\) | −24.1957 | − | 11.5967i | −1.67767 | − | 0.804083i | ||||
\(209\) | −7.19595 | + | 1.92815i | −0.497754 | + | 0.133373i | ||||
\(210\) | −0.287106 | + | 1.15592i | −0.0198122 | + | 0.0797664i | ||||
\(211\) | −3.10305 | + | 1.05334i | −0.213623 | + | 0.0725152i | −0.426200 | − | 0.904629i | \(-0.640148\pi\) |
0.212577 | + | 0.977144i | \(0.431815\pi\) | |||||||
\(212\) | −12.1582 | − | 2.34766i | −0.835030 | − | 0.161238i | ||||
\(213\) | 11.4504 | − | 1.68895i | 0.784570 | − | 0.115725i | ||||
\(214\) | −11.2539 | + | 4.69853i | −0.769304 | + | 0.321185i | ||||
\(215\) | 0.370248 | + | 0.153362i | 0.0252507 | + | 0.0104592i | ||||
\(216\) | −11.7523 | + | 8.82512i | −0.799645 | + | 0.600473i | ||||
\(217\) | 18.6441 | − | 7.72264i | 1.26564 | − | 0.524247i | ||||
\(218\) | 13.0000 | + | 12.9273i | 0.880470 | + | 0.875549i | ||||
\(219\) | 11.1409 | + | 8.27674i | 0.752829 | + | 0.559290i | ||||
\(220\) | −1.48415 | + | 0.00831844i | −0.100062 | + | 0.000560829i | ||||
\(221\) | 2.05677 | − | 4.17071i | 0.138353 | − | 0.280552i | ||||
\(222\) | −3.96718 | + | 5.37138i | −0.266260 | + | 0.360503i | ||||
\(223\) | −12.9980 | − | 7.50438i | −0.870409 | − | 0.502531i | −0.00292454 | − | 0.999996i | \(-0.500931\pi\) |
−0.867484 | + | 0.497465i | \(0.834264\pi\) | |||||||
\(224\) | −1.67228 | − | 21.0008i | −0.111734 | − | 1.40317i | ||||
\(225\) | −8.72722 | + | 12.1369i | −0.581814 | + | 0.809126i | ||||
\(226\) | −7.77359 | + | 6.85589i | −0.517092 | + | 0.456047i | ||||
\(227\) | 14.5912 | − | 0.956359i | 0.968453 | − | 0.0634758i | 0.427040 | − | 0.904233i | \(-0.359556\pi\) |
0.541413 | + | 0.840757i | \(0.317890\pi\) | |||||||
\(228\) | −0.201074 | + | 4.53600i | −0.0133164 | + | 0.300404i | ||||
\(229\) | 13.6567 | − | 11.9766i | 0.902460 | − | 0.791436i | −0.0761636 | − | 0.997095i | \(-0.524267\pi\) |
0.978624 | + | 0.205659i | \(0.0659338\pi\) | |||||||
\(230\) | −0.278875 | − | 1.02923i | −0.0183885 | − | 0.0678653i | ||||
\(231\) | 36.5429 | − | 2.96630i | 2.40435 | − | 0.195168i | ||||
\(232\) | 20.3772 | + | 2.50862i | 1.33783 | + | 0.164699i | ||||
\(233\) | 2.72176 | + | 1.12739i | 0.178309 | + | 0.0738578i | 0.470052 | − | 0.882639i | \(-0.344235\pi\) |
−0.291743 | + | 0.956497i | \(0.594235\pi\) | |||||||
\(234\) | −20.7938 | − | 19.4299i | −1.35933 | − | 1.27017i | ||||
\(235\) | 0.444916 | + | 0.297283i | 0.0290231 | + | 0.0193926i | ||||
\(236\) | −4.89901 | + | 10.0762i | −0.318898 | + | 0.655903i | ||||
\(237\) | −29.5825 | + | 0.459917i | −1.92159 | + | 0.0298748i | ||||
\(238\) | 3.64279 | − | 0.249016i | 0.236127 | − | 0.0161413i | ||||
\(239\) | −0.757661 | + | 2.82763i | −0.0490090 | + | 0.182904i | −0.986091 | − | 0.166204i | \(-0.946849\pi\) |
0.937082 | + | 0.349108i | \(0.113516\pi\) | |||||||
\(240\) | −0.267745 | + | 0.864033i | −0.0172828 | + | 0.0557731i | ||||
\(241\) | 7.48127 | + | 27.9205i | 0.481911 | + | 1.79852i | 0.593585 | + | 0.804771i | \(0.297712\pi\) |
−0.111674 | + | 0.993745i | \(0.535621\pi\) | |||||||
\(242\) | 9.76486 | + | 28.5037i | 0.627709 | + | 1.83229i | ||||
\(243\) | −14.6985 | + | 5.19161i | −0.942912 | + | 0.333042i | ||||
\(244\) | 3.24559 | − | 1.62322i | 0.207777 | − | 0.103916i | ||||
\(245\) | −0.396699 | − | 0.804427i | −0.0253442 | − | 0.0513930i | ||||
\(246\) | 12.4612 | − | 14.7465i | 0.794496 | − | 0.940201i | ||||
\(247\) | −8.71682 | + | 1.14759i | −0.554638 | + | 0.0730194i | ||||
\(248\) | 14.4710 | − | 5.04832i | 0.918911 | − | 0.320569i | ||||
\(249\) | −5.45324 | + | 3.76766i | −0.345585 | + | 0.238766i | ||||
\(250\) | 0.00516562 | + | 1.84328i | 0.000326702 | + | 0.116580i | ||||
\(251\) | 2.37007 | − | 0.471436i | 0.149597 | − | 0.0297568i | −0.119723 | − | 0.992807i | \(-0.538201\pi\) |
0.269321 | + | 0.963051i | \(0.413201\pi\) | |||||||
\(252\) | 4.98761 | − | 21.7815i | 0.314190 | − | 1.37210i | ||||
\(253\) | −27.2925 | + | 18.2363i | −1.71586 | + | 1.14650i | ||||
\(254\) | 12.5153 | − | 18.8445i | 0.785278 | − | 1.18241i | ||||
\(255\) | −0.149221 | − | 0.0480801i | −0.00934460 | − | 0.00301090i | ||||
\(256\) | −0.358676 | − | 15.9960i | −0.0224173 | − | 0.999749i | ||||
\(257\) | 10.9126 | + | 18.9011i | 0.680706 | + | 1.17902i | 0.974766 | + | 0.223231i | \(0.0716603\pi\) |
−0.294059 | + | 0.955787i | \(0.595006\pi\) | |||||||
\(258\) | −6.99784 | − | 2.74929i | −0.435667 | − | 0.171164i | ||||
\(259\) | −0.664012 | − | 10.1309i | −0.0412597 | − | 0.629501i | ||||
\(260\) | −1.73785 | − | 0.218890i | −0.107777 | − | 0.0135750i | ||||
\(261\) | 19.8207 | + | 9.01970i | 1.22687 | + | 0.558306i | ||||
\(262\) | −14.5679 | + | 8.46528i | −0.900006 | + | 0.522987i | ||||
\(263\) | 8.71838 | + | 1.14780i | 0.537598 | + | 0.0707762i | 0.394437 | − | 0.918923i | \(-0.370940\pi\) |
0.143162 | + | 0.989699i | \(0.454273\pi\) | |||||||
\(264\) | 27.8366 | − | 0.666893i | 1.71323 | − | 0.0410444i | ||||
\(265\) | −0.801452 | + | 0.105513i | −0.0492328 | + | 0.00648162i | ||||
\(266\) | −4.21780 | − | 5.46496i | −0.258610 | − | 0.335078i | ||||
\(267\) | 1.88160 | + | 12.7565i | 0.115152 | + | 0.780684i | ||||
\(268\) | 1.04277 | − | 17.4037i | 0.0636974 | − | 1.06310i | ||||
\(269\) | −9.12826 | − | 1.81572i | −0.556560 | − | 0.110707i | −0.0912070 | − | 0.995832i | \(-0.529072\pi\) |
−0.465353 | + | 0.885125i | \(0.654072\pi\) | |||||||
\(270\) | −0.545738 | + | 0.789107i | −0.0332126 | + | 0.0480235i | ||||
\(271\) | −4.96780 | + | 4.96780i | −0.301772 | + | 0.301772i | −0.841707 | − | 0.539935i | \(-0.818449\pi\) |
0.539935 | + | 0.841707i | \(0.318449\pi\) | |||||||
\(272\) | 2.77288 | − | 0.0310841i | 0.168131 | − | 0.00188475i | ||||
\(273\) | 43.2148 | + | 2.15839i | 2.61548 | + | 0.130632i | ||||
\(274\) | 17.0633 | − | 1.16642i | 1.03083 | − | 0.0704661i | ||||
\(275\) | 26.8188 | − | 9.10377i | 1.61724 | − | 0.548978i | ||||
\(276\) | 5.58535 | + | 19.2101i | 0.336199 | + | 1.15631i | ||||
\(277\) | 20.8129 | − | 10.2638i | 1.25053 | − | 0.616692i | 0.308180 | − | 0.951328i | \(-0.400280\pi\) |
0.942347 | + | 0.334637i | \(0.108614\pi\) | |||||||
\(278\) | −6.51782 | + | 8.54365i | −0.390913 | + | 0.512414i | ||||
\(279\) | 16.2482 | − | 0.505339i | 0.972752 | − | 0.0302539i | ||||
\(280\) | −0.536969 | − | 1.26614i | −0.0320900 | − | 0.0756665i | ||||
\(281\) | 1.73360 | − | 13.1680i | 0.103418 | − | 0.785536i | −0.858619 | − | 0.512615i | \(-0.828677\pi\) |
0.962036 | − | 0.272921i | \(-0.0879898\pi\) | |||||||
\(282\) | −8.44798 | − | 5.42324i | −0.503070 | − | 0.322949i | ||||
\(283\) | 4.62810 | − | 4.05874i | 0.275112 | − | 0.241267i | −0.510660 | − | 0.859783i | \(-0.670599\pi\) |
0.785772 | + | 0.618516i | \(0.212266\pi\) | |||||||
\(284\) | −9.39727 | + | 9.50320i | −0.557625 | + | 0.563911i | ||||
\(285\) | 0.0811574 | + | 0.285081i | 0.00480735 | + | 0.0168867i | ||||
\(286\) | 10.6670 | + | 52.8519i | 0.630750 | + | 3.12520i | ||||
\(287\) | 29.3535i | 1.73268i | ||||||||
\(288\) | 4.72490 | − | 16.2995i | 0.278417 | − | 0.960460i | ||||
\(289\) | − | 16.5194i | − | 0.971728i | ||||||
\(290\) | 1.31381 | − | 0.265162i | 0.0771494 | − | 0.0155709i | ||||
\(291\) | −8.47543 | + | 8.74312i | −0.496838 | + | 0.512531i | ||||
\(292\) | −16.0257 | + | 0.0898215i | −0.937833 | + | 0.00525640i | ||||
\(293\) | −18.9020 | + | 16.5766i | −1.10427 | + | 0.968415i | −0.999659 | − | 0.0260982i | \(-0.991692\pi\) |
−0.104607 | + | 0.994514i | \(0.533358\pi\) | |||||||
\(294\) | 7.71811 | + | 14.9528i | 0.450129 | + | 0.872062i | ||||
\(295\) | −0.0954686 | + | 0.725156i | −0.00555840 | + | 0.0422202i | ||||
\(296\) | −0.0648238 | − | 7.71035i | −0.00376781 | − | 0.448155i | ||||
\(297\) | 28.3785 | + | 8.17917i | 1.64669 | + | 0.474604i | ||||
\(298\) | 13.7958 | + | 10.5246i | 0.799172 | + | 0.609675i | ||||
\(299\) | −34.7434 | + | 17.1336i | −2.00926 | + | 0.990859i | ||||
\(300\) | −0.365060 | − | 17.2576i | −0.0210768 | − | 0.996368i | ||||
\(301\) | 10.8245 | − | 3.67443i | 0.623915 | − | 0.211791i | ||||
\(302\) | 0.475594 | + | 6.95735i | 0.0273673 | + | 0.400351i | ||||
\(303\) | 2.33686 | − | 3.61787i | 0.134249 | − | 0.207841i | ||||
\(304\) | −2.96146 | − | 4.32636i | −0.169852 | − | 0.248134i | ||||
\(305\) | 0.167512 | − | 0.167512i | 0.00959172 | − | 0.00959172i | ||||
\(306\) | 2.81562 | + | 0.850516i | 0.160958 | + | 0.0486208i | ||||
\(307\) | 10.8809 | + | 2.16434i | 0.621004 | + | 0.123525i | 0.495557 | − | 0.868575i | \(-0.334964\pi\) |
0.125446 | + | 0.992100i | \(0.459964\pi\) | |||||||
\(308\) | −31.6721 | + | 28.0913i | −1.80469 | + | 1.60065i | ||||
\(309\) | −11.5126 | + | 9.12172i | −0.654928 | + | 0.518917i | ||||
\(310\) | 0.792060 | − | 0.611303i | 0.0449860 | − | 0.0347197i | ||||
\(311\) | −26.2797 | + | 3.45978i | −1.49018 | + | 0.196186i | −0.831201 | − | 0.555973i | \(-0.812346\pi\) |
−0.658982 | + | 0.752159i | \(0.729013\pi\) | |||||||
\(312\) | 32.6736 | + | 3.50773i | 1.84978 | + | 0.198586i | ||||
\(313\) | 6.66601 | + | 0.877597i | 0.376785 | + | 0.0496047i | 0.316541 | − | 0.948579i | \(-0.397479\pi\) |
0.0602446 | + | 0.998184i | \(0.480812\pi\) | |||||||
\(314\) | −10.6152 | − | 18.2676i | −0.599048 | − | 1.03090i | ||||
\(315\) | −0.140609 | − | 1.45194i | −0.00792240 | − | 0.0818073i | ||||
\(316\) | 26.9864 | − | 20.9487i | 1.51810 | − | 1.17846i | ||||
\(317\) | −0.0908230 | − | 1.38569i | −0.00510113 | − | 0.0778282i | 0.994549 | − | 0.104267i | \(-0.0332498\pi\) |
−0.999650 | + | 0.0264393i | \(0.991583\pi\) | |||||||
\(318\) | 14.9972 | − | 2.25507i | 0.841001 | − | 0.126458i | ||||
\(319\) | −20.6287 | − | 35.7300i | −1.15499 | − | 2.00049i | ||||
\(320\) | −0.352327 | − | 0.983287i | −0.0196957 | − | 0.0549674i | ||||
\(321\) | 11.0752 | − | 10.0215i | 0.618158 | − | 0.559347i | ||||
\(322\) | −25.3377 | − | 16.8276i | −1.41201 | − | 0.937764i | ||||
\(323\) | 0.755535 | − | 0.504832i | 0.0420391 | − | 0.0280896i | ||||
\(324\) | 9.96525 | − | 14.9898i | 0.553625 | − | 0.832766i | ||||
\(325\) | 32.7824 | − | 6.52083i | 1.81844 | − | 0.361711i | ||||
\(326\) | 30.3175 | − | 0.0849618i | 1.67913 | − | 0.00470560i | ||||
\(327\) | −20.2902 | − | 9.61682i | −1.12205 | − | 0.531811i | ||||
\(328\) | −1.27097 | + | 22.2569i | −0.0701778 | + | 1.22893i | ||||
\(329\) | 15.1326 | − | 1.99224i | 0.834286 | − | 0.109836i | ||||
\(330\) | 1.71026 | − | 0.615774i | 0.0941467 | − | 0.0338972i | ||||
\(331\) | −5.77439 | − | 11.7093i | −0.317389 | − | 0.643602i | 0.678458 | − | 0.734639i | \(-0.262649\pi\) |
−0.995848 | + | 0.0910370i | \(0.970982\pi\) | |||||||
\(332\) | 2.41951 | − | 7.26109i | 0.132788 | − | 0.398504i | ||||
\(333\) | 2.38683 | − | 7.82230i | 0.130798 | − | 0.428660i | ||||
\(334\) | −16.1892 | + | 5.54613i | −0.885832 | + | 0.303471i | ||||
\(335\) | −0.294582 | − | 1.09939i | −0.0160947 | − | 0.0600663i | ||||
\(336\) | 10.5082 | + | 23.5653i | 0.573268 | + | 1.28559i | ||||
\(337\) | −6.34884 | + | 23.6942i | −0.345843 | + | 1.29070i | 0.545781 | + | 0.837928i | \(0.316233\pi\) |
−0.891624 | + | 0.452776i | \(0.850434\pi\) | |||||||
\(338\) | 3.08583 | + | 45.1419i | 0.167847 | + | 2.45539i | ||||
\(339\) | 6.17554 | − | 11.0910i | 0.335409 | − | 0.602382i | ||||
\(340\) | 0.171093 | − | 0.0591498i | 0.00927883 | − | 0.00320785i | ||||
\(341\) | −25.6079 | − | 17.1107i | −1.38675 | − | 0.926595i | ||||
\(342\) | −1.62046 | − | 5.31956i | −0.0876246 | − | 0.287649i | ||||
\(343\) | 0.448429 | + | 0.185745i | 0.0242129 | + | 0.0100293i | ||||
\(344\) | 8.36665 | − | 2.31740i | 0.451100 | − | 0.124946i | ||||
\(345\) | 0.742365 | + | 1.07449i | 0.0399676 | + | 0.0578484i | ||||
\(346\) | −5.95736 | + | 1.61418i | −0.320270 | + | 0.0867787i | ||||
\(347\) | −15.8572 | + | 13.9064i | −0.851259 | + | 0.746534i | −0.969145 | − | 0.246493i | \(-0.920722\pi\) |
0.117885 | + | 0.993027i | \(0.462388\pi\) | |||||||
\(348\) | −24.5529 | + | 5.42609i | −1.31617 | + | 0.290869i | ||||
\(349\) | 13.1366 | − | 0.861019i | 0.703187 | − | 0.0460893i | 0.290385 | − | 0.956910i | \(-0.406217\pi\) |
0.412802 | + | 0.910821i | \(0.364550\pi\) | |||||||
\(350\) | 17.3593 | + | 19.6829i | 0.927893 | + | 1.05210i | ||||
\(351\) | 31.9450 | + | 13.9418i | 1.70510 | + | 0.744156i | ||||
\(352\) | −25.2313 | + | 19.9285i | −1.34483 | + | 1.06219i | ||||
\(353\) | 29.5792 | + | 17.0776i | 1.57434 | + | 0.908947i | 0.995627 | + | 0.0934185i | \(0.0297795\pi\) |
0.578716 | + | 0.815529i | \(0.303554\pi\) | |||||||
\(354\) | 1.54118 | − | 13.6352i | 0.0819128 | − | 0.724704i | ||||
\(355\) | −0.385887 | + | 0.782501i | −0.0204808 | + | 0.0415309i | ||||
\(356\) | −10.5872 | − | 10.4691i | −0.561118 | − | 0.554864i | ||||
\(357\) | −4.10440 | + | 1.77534i | −0.217228 | + | 0.0939611i | ||||
\(358\) | 20.1056 | − | 20.2186i | 1.06261 | − | 1.06859i | ||||
\(359\) | 9.63033 | − | 3.98901i | 0.508269 | − | 0.210532i | −0.113786 | − | 0.993505i | \(-0.536298\pi\) |
0.622055 | + | 0.782973i | \(0.286298\pi\) | |||||||
\(360\) | −0.0437475 | − | 1.10700i | −0.00230570 | − | 0.0583440i | ||||
\(361\) | 15.9665 | + | 6.61354i | 0.840342 | + | 0.348081i | ||||
\(362\) | 3.51148 | + | 8.41072i | 0.184559 | + | 0.442057i | ||||
\(363\) | −22.9166 | − | 28.9232i | −1.20281 | − | 1.51807i | ||||
\(364\) | −41.3860 | + | 27.9900i | −2.16922 | + | 1.46708i | ||||
\(365\) | −0.990675 | + | 0.336289i | −0.0518543 | + | 0.0176022i | ||||
\(366\) | −3.08451 | + | 3.19982i | −0.161230 | + | 0.167257i | ||||
\(367\) | −5.09717 | + | 1.36578i | −0.266070 | + | 0.0712933i | −0.389388 | − | 0.921074i | \(-0.627313\pi\) |
0.123317 | + | 0.992367i | \(0.460647\pi\) | |||||||
\(368\) | −18.4833 | − | 13.8564i | −0.963510 | − | 0.722313i | ||||
\(369\) | −8.36527 | + | 22.1163i | −0.435478 | + | 1.15133i | ||||
\(370\) | −0.163135 | − | 0.476192i | −0.00848099 | − | 0.0247560i | ||||
\(371\) | −15.2032 | + | 17.3359i | −0.789312 | + | 0.900038i | ||||
\(372\) | −14.6469 | + | 11.7394i | −0.759407 | + | 0.608657i | ||||
\(373\) | 3.56699 | + | 0.233793i | 0.184692 | + | 0.0121054i | 0.157468 | − | 0.987524i | \(-0.449667\pi\) |
0.0272235 | + | 0.999629i | \(0.491333\pi\) | |||||||
\(374\) | −3.40469 | − | 4.41143i | −0.176052 | − | 0.228110i | ||||
\(375\) | −0.758813 | − | 2.12621i | −0.0391849 | − | 0.109797i | ||||
\(376\) | 11.5603 | − | 0.855369i | 0.596179 | − | 0.0441123i | ||||
\(377\) | −18.6332 | − | 44.9844i | −0.959657 | − | 2.31682i | ||||
\(378\) | 3.13728 | + | 27.1868i | 0.161364 | + | 1.39834i | ||||
\(379\) | −11.0553 | + | 2.19903i | −0.567871 | + | 0.112957i | −0.470672 | − | 0.882308i | \(-0.655988\pi\) |
−0.0971994 | + | 0.995265i | \(0.530988\pi\) | |||||||
\(380\) | −0.272698 | − | 0.206831i | −0.0139891 | − | 0.0106102i | ||||
\(381\) | −6.75396 | + | 26.8702i | −0.346016 | + | 1.37660i | ||||
\(382\) | −7.90614 | − | 15.9194i | −0.404513 | − | 0.814509i | ||||
\(383\) | −18.4627 | − | 31.9783i | −0.943399 | − | 1.63402i | −0.758925 | − | 0.651179i | \(-0.774275\pi\) |
−0.184475 | − | 0.982837i | \(-0.559058\pi\) | |||||||
\(384\) | 6.94735 | + | 18.3231i | 0.354530 | + | 0.935045i | ||||
\(385\) | −1.38184 | + | 2.39342i | −0.0704252 | + | 0.121980i | ||||
\(386\) | −24.9627 | − | 1.56590i | −1.27057 | − | 0.0797022i | ||||
\(387\) | 9.20286 | + | 0.316321i | 0.467807 | + | 0.0160795i | ||||
\(388\) | 1.75711 | − | 13.9504i | 0.0892039 | − | 0.708222i | ||||
\(389\) | −4.01529 | + | 11.8287i | −0.203583 | + | 0.599736i | −0.999987 | − | 0.00502820i | \(-0.998399\pi\) |
0.796404 | + | 0.604765i | \(0.206733\pi\) | |||||||
\(390\) | 2.09599 | − | 0.457048i | 0.106134 | − | 0.0231435i | ||||
\(391\) | 2.43729 | − | 3.17634i | 0.123259 | − | 0.160634i | ||||
\(392\) | −17.4982 | − | 8.44702i | −0.883792 | − | 0.426639i | ||||
\(393\) | 13.3631 | − | 15.7242i | 0.674081 | − | 0.793183i | ||||
\(394\) | 4.85777 | − | 11.8213i | 0.244731 | − | 0.595548i | ||||
\(395\) | 1.23904 | − | 1.85436i | 0.0623430 | − | 0.0933028i | ||||
\(396\) | −31.8688 | + | 12.1393i | −1.60147 | + | 0.610021i | ||||
\(397\) | 11.5896 | + | 2.30531i | 0.581663 | + | 0.115700i | 0.477147 | − | 0.878823i | \(-0.341671\pi\) |
0.104516 | + | 0.994523i | \(0.466671\pi\) | |||||||
\(398\) | −2.99232 | − | 0.586496i | −0.149991 | − | 0.0293984i | ||||
\(399\) | 7.10207 | + | 4.58738i | 0.355548 | + | 0.229656i | ||||
\(400\) | 12.3102 | + | 15.6760i | 0.615510 | + | 0.783798i | ||||
\(401\) | −1.04126 | + | 3.88603i | −0.0519979 | + | 0.194059i | −0.987039 | − | 0.160480i | \(-0.948696\pi\) |
0.935041 | + | 0.354539i | \(0.115362\pi\) | |||||||
\(402\) | 5.90414 | + | 20.5209i | 0.294472 | + | 1.02349i | ||||
\(403\) | −27.3274 | − | 23.9655i | −1.36128 | − | 1.19381i | ||||
\(404\) | 0.353075 | + | 4.96071i | 0.0175662 | + | 0.246804i | ||||
\(405\) | 0.307836 | − | 1.13403i | 0.0152965 | − | 0.0563503i | ||||
\(406\) | 23.1884 | − | 30.3957i | 1.15082 | − | 1.50851i | ||||
\(407\) | −12.2927 | + | 9.43250i | −0.609325 | + | 0.467552i | ||||
\(408\) | −3.18898 | + | 1.16841i | −0.157878 | + | 0.0578451i | ||||
\(409\) | 8.19467 | + | 6.28799i | 0.405200 | + | 0.310921i | 0.791177 | − | 0.611587i | \(-0.209469\pi\) |
−0.385976 | + | 0.922509i | \(0.626135\pi\) | |||||||
\(410\) | 0.380606 | + | 1.40468i | 0.0187968 | + | 0.0693723i | ||||
\(411\) | −19.2255 | + | 8.31592i | −0.948325 | + | 0.410194i | ||||
\(412\) | 4.29783 | − | 16.4070i | 0.211739 | − | 0.808314i | ||||
\(413\) | 11.5908 | + | 17.3469i | 0.570348 | + | 0.853587i | ||||
\(414\) | −14.2950 | − | 19.8995i | −0.702561 | − | 0.978007i | ||||
\(415\) | − | 0.499638i | − | 0.0245263i | ||||||
\(416\) | −32.5923 | + | 19.4311i | −1.59797 | + | 0.952688i | ||||
\(417\) | 4.03625 | − | 12.5269i | 0.197656 | − | 0.613444i | ||||
\(418\) | −3.35859 | + | 9.98593i | −0.164274 | + | 0.488428i | ||||
\(419\) | 4.73524 | − | 9.60212i | 0.231332 | − | 0.469094i | −0.749995 | − | 0.661444i | \(-0.769944\pi\) |
0.981326 | + | 0.192349i | \(0.0616107\pi\) | |||||||
\(420\) | 1.13713 | + | 1.24262i | 0.0554864 | + | 0.0606338i | ||||
\(421\) | −0.419640 | − | 0.142449i | −0.0204520 | − | 0.00694252i | 0.311195 | − | 0.950346i | \(-0.399271\pi\) |
−0.331647 | + | 0.943404i | \(0.607604\pi\) | |||||||
\(422\) | −1.18690 | + | 4.47976i | −0.0577775 | + | 0.218071i | ||||
\(423\) | 11.9694 | + | 2.81149i | 0.581970 | + | 0.136699i | ||||
\(424\) | −12.2783 | + | 12.4865i | −0.596285 | + | 0.606397i | ||||
\(425\) | −2.74064 | + | 2.10297i | −0.132941 | + | 0.102009i | ||||
\(426\) | 6.96906 | − | 14.8109i | 0.337652 | − | 0.717588i | ||||
\(427\) | 0.441950 | − | 6.74285i | 0.0213875 | − | 0.326309i | ||||
\(428\) | −3.26984 | + | 16.9341i | −0.158054 | + | 0.818540i | ||||
\(429\) | −33.9027 | − | 56.6681i | −1.63684 | − | 2.73596i | ||||
\(430\) | 0.470352 | − | 0.316190i | 0.0226824 | − | 0.0152480i | ||||
\(431\) | 3.67814 | + | 3.67814i | 0.177170 | + | 0.177170i | 0.790121 | − | 0.612951i | \(-0.210018\pi\) |
−0.612951 | + | 0.790121i | \(0.710018\pi\) | |||||||
\(432\) | 1.20165 | + | 20.7498i | 0.0578143 | + | 0.998327i | ||||
\(433\) | −13.0910 | + | 13.0910i | −0.629116 | + | 0.629116i | −0.947846 | − | 0.318730i | \(-0.896744\pi\) |
0.318730 | + | 0.947846i | \(0.396744\pi\) | |||||||
\(434\) | 5.48925 | − | 28.0063i | 0.263492 | − | 1.34434i | ||||
\(435\) | −1.40867 | + | 0.842762i | −0.0675406 | + | 0.0404073i | ||||
\(436\) | 25.4005 | − | 5.20063i | 1.21646 | − | 0.249065i | ||||
\(437\) | −7.55335 | − | 0.495073i | −0.361326 | − | 0.0236825i | ||||
\(438\) | 18.4672 | − | 6.64905i | 0.882395 | − | 0.317704i | ||||
\(439\) | −7.61388 | − | 9.92260i | −0.363391 | − | 0.473580i | 0.575497 | − | 0.817804i | \(-0.304809\pi\) |
−0.938888 | + | 0.344224i | \(0.888142\pi\) | |||||||
\(440\) | −1.15140 | + | 1.75495i | −0.0548906 | + | 0.0836638i | ||||
\(441\) | −15.0187 | − | 14.1127i | −0.715178 | − | 0.672034i | ||||
\(442\) | −3.30419 | − | 5.68617i | −0.157164 | − | 0.270464i | ||||
\(443\) | −4.65891 | + | 13.7247i | −0.221352 | + | 0.652081i | 0.778354 | + | 0.627825i | \(0.216055\pi\) |
−0.999706 | + | 0.0242552i | \(0.992279\pi\) | |||||||
\(444\) | 3.22397 | + | 8.87618i | 0.153003 | + | 0.421245i | ||||
\(445\) | −0.871756 | − | 0.429902i | −0.0413252 | − | 0.0203793i | ||||
\(446\) | −19.0103 | + | 9.44115i | −0.900163 | + | 0.447052i | ||||
\(447\) | −20.2277 | − | 6.51752i | −0.956739 | − | 0.308268i | ||||
\(448\) | −26.0488 | − | 14.4609i | −1.23069 | − | 0.683212i | ||||
\(449\) | 16.9754 | 0.801117 | 0.400558 | − | 0.916271i | \(-0.368816\pi\) | ||||
0.400558 | + | 0.916271i | \(0.368816\pi\) | |||||||
\(450\) | 7.47000 | + | 19.7772i | 0.352139 | + | 0.932304i | ||||
\(451\) | 37.2485 | − | 24.8887i | 1.75396 | − | 1.17196i | ||||
\(452\) | 1.99471 | + | 14.5219i | 0.0938232 | + | 0.683052i | ||||
\(453\) | −3.39072 | − | 7.83897i | −0.159310 | − | 0.368307i | ||||
\(454\) | 10.2895 | − | 17.9378i | 0.482908 | − | 0.841862i | ||||
\(455\) | −1.98555 | + | 2.58762i | −0.0930839 | + | 0.121309i | ||||
\(456\) | 5.18642 | + | 3.78583i | 0.242877 | + | 0.177288i | ||||
\(457\) | 22.9124 | + | 29.8601i | 1.07180 | + | 1.39680i | 0.912264 | + | 0.409603i | \(0.134333\pi\) |
0.159535 | + | 0.987192i | \(0.449001\pi\) | |||||||
\(458\) | −3.42436 | − | 25.4590i | −0.160010 | − | 1.18962i | ||||
\(459\) | −3.59839 | + | 0.167940i | −0.167959 | + | 0.00783876i | ||||
\(460\) | −1.43070 | − | 0.476730i | −0.0667066 | − | 0.0222277i | ||||
\(461\) | −16.4360 | + | 18.7417i | −0.765503 | + | 0.872889i | −0.994944 | − | 0.100434i | \(-0.967977\pi\) |
0.229441 | + | 0.973323i | \(0.426310\pi\) | |||||||
\(462\) | 25.0965 | − | 45.3710i | 1.16760 | − | 2.11085i | ||||
\(463\) | 9.07438 | + | 2.43147i | 0.421722 | + | 0.113000i | 0.463438 | − | 0.886129i | \(-0.346616\pi\) |
−0.0417158 | + | 0.999130i | \(0.513282\pi\) | |||||||
\(464\) | 18.8984 | − | 22.0431i | 0.877337 | − | 1.02333i | ||||
\(465\) | −0.664868 | + | 1.02933i | −0.0308325 | + | 0.0477342i | ||||
\(466\) | 3.45765 | − | 2.32437i | 0.160172 | − | 0.107674i | ||||
\(467\) | −6.38811 | + | 32.1152i | −0.295606 | + | 1.48611i | 0.492358 | + | 0.870393i | \(0.336135\pi\) |
−0.787964 | + | 0.615721i | \(0.788865\pi\) | |||||||
\(468\) | −39.1588 | + | 9.29468i | −1.81012 | + | 0.429647i | ||||
\(469\) | −26.9941 | − | 18.0369i | −1.24647 | − | 0.832867i | ||||
\(470\) | 0.698322 | − | 0.291550i | 0.0322112 | − | 0.0134482i | ||||
\(471\) | 19.7176 | + | 16.7569i | 0.908540 | + | 0.772116i | ||||
\(472\) | 8.03751 | + | 13.6550i | 0.369956 | + | 0.628520i | ||||
\(473\) | −13.8408 | − | 10.6204i | −0.636399 | − | 0.488326i | ||||
\(474\) | −22.6035 | + | 35.2102i | −1.03821 | + | 1.61726i | ||||
\(475\) | 6.18463 | + | 2.09940i | 0.283770 | + | 0.0963270i | ||||
\(476\) | 2.55675 | − | 4.48631i | 0.117189 | − | 0.205630i | ||||
\(477\) | −16.3953 | + | 8.72905i | −0.750688 | + | 0.399676i | ||||
\(478\) | 2.73836 | + | 3.10491i | 0.125250 | + | 0.142015i | ||||
\(479\) | −17.9615 | − | 10.3701i | −0.820683 | − | 0.473822i | 0.0299687 | − | 0.999551i | \(-0.490459\pi\) |
−0.850652 | + | 0.525729i | \(0.823793\pi\) | |||||||
\(480\) | 0.808412 | + | 0.991439i | 0.0368988 | + | 0.0452528i | ||||
\(481\) | −15.8364 | + | 9.14312i | −0.722076 | + | 0.416891i | ||||
\(482\) | 38.7457 | + | 13.0314i | 1.76482 | + | 0.593564i | ||||
\(483\) | 36.1286 | + | 9.08112i | 1.64391 | + | 0.413205i | ||||
\(484\) | 41.2194 | + | 10.7975i | 1.87361 | + | 0.490794i | ||||
\(485\) | −0.179073 | − | 0.900259i | −0.00813127 | − | 0.0408786i | ||||
\(486\) | −5.38400 | + | 21.3779i | −0.244223 | + | 0.969719i | ||||
\(487\) | −27.5444 | + | 11.4093i | −1.24816 | + | 0.517003i | −0.906254 | − | 0.422733i | \(-0.861071\pi\) |
−0.341901 | + | 0.939736i | \(0.611071\pi\) | |||||||
\(488\) | 0.627060 | − | 5.09354i | 0.0283857 | − | 0.230574i | ||||
\(489\) | −34.9710 | + | 12.4806i | −1.58145 | + | 0.564393i | ||||
\(490\) | −1.25805 | − | 0.162040i | −0.0568329 | − | 0.00732022i | ||||
\(491\) | −1.30029 | + | 19.8385i | −0.0586811 | + | 0.895300i | 0.862473 | + | 0.506103i | \(0.168914\pi\) |
−0.921154 | + | 0.389198i | \(0.872752\pi\) | |||||||
\(492\) | −7.62284 | − | 26.2178i | −0.343664 | − | 1.18199i | ||||
\(493\) | 3.78348 | + | 3.31802i | 0.170399 | + | 0.149436i | ||||
\(494\) | −5.46806 | + | 11.1669i | −0.246020 | + | 0.502423i | ||||
\(495\) | −1.72323 | + | 1.40951i | −0.0774534 | + | 0.0633529i | ||||
\(496\) | 5.37479 | − | 20.9977i | 0.241335 | − | 0.942825i | ||||
\(497\) | 6.44115 | + | 24.0387i | 0.288925 | + | 1.07828i | ||||
\(498\) | 0.171979 | + | 9.37212i | 0.00770658 | + | 0.419975i | ||||
\(499\) | −1.33828 | − | 3.94246i | −0.0599098 | − | 0.176489i | 0.912855 | − | 0.408285i | \(-0.133873\pi\) |
−0.972764 | + | 0.231796i | \(0.925540\pi\) | |||||||
\(500\) | 2.17556 | + | 1.43609i | 0.0972942 | + | 0.0642241i | ||||
\(501\) | 16.4274 | − | 13.0159i | 0.733923 | − | 0.581506i | ||||
\(502\) | 1.29895 | − | 3.16096i | 0.0579749 | − | 0.141081i | ||||
\(503\) | 9.13034 | − | 22.0426i | 0.407102 | − | 0.982831i | −0.578794 | − | 0.815473i | \(-0.696477\pi\) |
0.985896 | − | 0.167357i | \(-0.0535234\pi\) | |||||||
\(504\) | −21.7579 | − | 22.9175i | −0.969172 | − | 1.02083i | ||||
\(505\) | 0.124243 | + | 0.299948i | 0.00552872 | + | 0.0133475i | ||||
\(506\) | 0.130089 | + | 46.4205i | 0.00578315 | + | 2.06364i | ||||
\(507\) | −22.0002 | − | 50.8621i | −0.977064 | − | 2.25887i | ||||
\(508\) | −12.4083 | − | 29.4878i | −0.550531 | − | 1.30831i | ||||
\(509\) | 32.4343 | + | 15.9948i | 1.43763 | + | 0.708959i | 0.983320 | − | 0.181886i | \(-0.0582203\pi\) |
0.454307 | + | 0.890845i | \(0.349887\pi\) | |||||||
\(510\) | −0.173392 | + | 0.138176i | −0.00767793 | + | 0.00611853i | ||||
\(511\) | −14.9210 | + | 25.8439i | −0.660064 | + | 1.14326i | ||||
\(512\) | −19.1251 | − | 12.0927i | −0.845216 | − | 0.534425i | ||||
\(513\) | 4.04370 | + | 5.48032i | 0.178534 | + | 0.241962i | ||||
\(514\) | 30.8048 | + | 1.93237i | 1.35874 | + | 0.0852332i | ||||
\(515\) | −0.0724150 | − | 1.10484i | −0.00319099 | − | 0.0486851i | ||||
\(516\) | −8.71396 | + | 6.09293i | −0.383610 | + | 0.268226i | ||||
\(517\) | −15.3589 | − | 17.5135i | −0.675484 | − | 0.770241i | ||||
\(518\) | −12.4544 | − | 7.14410i | −0.547216 | − | 0.313894i | ||||
\(519\) | 6.21931 | − | 4.29694i | 0.272998 | − | 0.188615i | ||||
\(520\) | −1.61756 | + | 1.87605i | −0.0709346 | + | 0.0822704i | ||||
\(521\) | 0.645123 | − | 1.55747i | 0.0282634 | − | 0.0682338i | −0.909118 | − | 0.416539i | \(-0.863243\pi\) |
0.937381 | + | 0.348306i | \(0.113243\pi\) | |||||||
\(522\) | 26.1335 | − | 16.2933i | 1.14383 | − | 0.713136i | ||||
\(523\) | 2.50434 | − | 3.74802i | 0.109507 | − | 0.163889i | −0.772668 | − | 0.634810i | \(-0.781078\pi\) |
0.882175 | + | 0.470921i | \(0.156078\pi\) | |||||||
\(524\) | −1.42513 | + | 23.7852i | −0.0622571 | + | 1.03906i | ||||
\(525\) | −28.0827 | − | 15.6366i | −1.22563 | − | 0.682438i | ||||
\(526\) | 8.17342 | − | 9.37285i | 0.356378 | − | 0.408676i | ||||
\(527\) | 3.62857 | + | 0.972273i | 0.158063 | + | 0.0423529i | ||||
\(528\) | 20.9936 | − | 33.3153i | 0.913630 | − | 1.44986i | ||||
\(529\) | −9.99931 | + | 2.67931i | −0.434753 | + | 0.116492i | ||||
\(530\) | −0.502751 | + | 1.02672i | −0.0218381 | + | 0.0445980i | ||||
\(531\) | 3.78950 | + | 16.3732i | 0.164450 | + | 0.710536i | ||||
\(532\) | −9.73811 | + | 0.693105i | −0.422201 | + | 0.0300499i | ||||
\(533\) | 47.4175 | − | 23.3837i | 2.05388 | − | 1.01286i | ||||
\(534\) | 16.5002 | + | 7.76397i | 0.714034 | + | 0.335980i | ||||
\(535\) | 0.146960 | + | 1.11627i | 0.00635362 | + | 0.0482606i | ||||
\(536\) | −19.6870 | − | 14.8451i | −0.850348 | − | 0.641209i | ||||
\(537\) | −14.9568 | + | 31.5568i | −0.645435 | + | 1.36178i | ||||
\(538\) | −9.28097 | + | 9.33313i | −0.400131 | + | 0.402380i | ||||
\(539\) | 7.61740 | + | 38.2953i | 0.328105 | + | 1.64949i | ||||
\(540\) | 0.502642 | + | 1.26031i | 0.0216303 | + | 0.0542353i | ||||
\(541\) | 15.8723 | + | 23.7545i | 0.682402 | + | 1.02129i | 0.997391 | + | 0.0721908i | \(0.0229991\pi\) |
−0.314989 | + | 0.949095i | \(0.602001\pi\) | |||||||
\(542\) | 1.96564 | + | 9.73922i | 0.0844315 | + | 0.418336i | ||||
\(543\) | −7.48965 | − | 8.27714i | −0.321412 | − | 0.355206i | ||||
\(544\) | 2.13288 | − | 3.29098i | 0.0914463 | − | 0.141100i | ||||
\(545\) | 1.46582 | − | 0.846290i | 0.0627887 | − | 0.0362511i | ||||
\(546\) | 36.3539 | − | 49.2215i | 1.55580 | − | 2.10649i | ||||
\(547\) | 17.7712 | − | 1.16478i | 0.759840 | − | 0.0498025i | 0.319443 | − | 0.947606i | \(-0.396504\pi\) |
0.440397 | + | 0.897803i | \(0.354838\pi\) | |||||||
\(548\) | 11.9761 | − | 21.0144i | 0.511596 | − | 0.897692i | ||||
\(549\) | 2.25459 | − | 4.95443i | 0.0962234 | − | 0.211450i | ||||
\(550\) | 10.2581 | − | 38.7173i | 0.437406 | − | 1.65091i | ||||
\(551\) | 1.24186 | − | 9.43288i | 0.0529051 | − | 0.401854i | ||||
\(552\) | 27.0009 | + | 8.44997i | 1.14923 | + | 0.359655i | ||||
\(553\) | −8.30344 | − | 63.0709i | −0.353098 | − | 2.68205i | ||||
\(554\) | 4.19246 | − | 32.5495i | 0.178120 | − | 1.38290i | ||||
\(555\) | 0.382852 | + | 0.483200i | 0.0162512 | + | 0.0205107i | ||||
\(556\) | 4.96553 | + | 14.3630i | 0.210585 | + | 0.609126i | ||||
\(557\) | 4.54755 | − | 22.8621i | 0.192686 | − | 0.968698i | −0.756503 | − | 0.653990i | \(-0.773094\pi\) |
0.949189 | − | 0.314707i | \(-0.101906\pi\) | |||||||
\(558\) | 12.1172 | − | 19.5369i | 0.512961 | − | 0.827063i | ||||
\(559\) | −14.5587 | − | 14.5587i | −0.615768 | − | 0.615768i | ||||
\(560\) | −1.91173 | − | 0.358038i | −0.0807854 | − | 0.0151299i | ||||
\(561\) | 5.73294 | + | 3.70303i | 0.242045 | + | 0.156342i | ||||
\(562\) | −14.1565 | − | 12.3449i | −0.597155 | − | 0.520738i | ||||
\(563\) | 0.894686 | + | 2.63566i | 0.0377065 | + | 0.111080i | 0.964153 | − | 0.265346i | \(-0.0854862\pi\) |
−0.926447 | + | 0.376426i | \(0.877153\pi\) | |||||||
\(564\) | −12.9986 | + | 5.70921i | −0.547342 | + | 0.240401i | ||||
\(565\) | 0.423231 | + | 0.858228i | 0.0178055 | + | 0.0361059i | ||||
\(566\) | −1.16048 | − | 8.62778i | −0.0487784 | − | 0.362653i | ||||
\(567\) | −14.7262 | − | 30.1095i | −0.618444 | − | 1.26448i | ||||
\(568\) | 3.84307 | + | 18.5059i | 0.161252 | + | 0.776492i | ||||
\(569\) | −17.9724 | − | 2.36611i | −0.753441 | − | 0.0991924i | −0.255984 | − | 0.966681i | \(-0.582399\pi\) |
−0.497457 | + | 0.867489i | \(0.665733\pi\) | |||||||
\(570\) | 0.399343 | + | 0.127437i | 0.0167266 | + | 0.00533775i | ||||
\(571\) | −17.5110 | − | 19.9675i | −0.732813 | − | 0.835613i | 0.258654 | − | 0.965970i | \(-0.416721\pi\) |
−0.991467 | + | 0.130357i | \(0.958388\pi\) | |||||||
\(572\) | 70.6092 | + | 28.7847i | 2.95232 | + | 1.20355i | ||||
\(573\) | 15.6307 | + | 15.1521i | 0.652980 | + | 0.632988i | ||||
\(574\) | 34.5806 | + | 22.9661i | 1.44337 | + | 0.958586i | ||||
\(575\) | 28.7772 | 1.20009 | ||||||||
\(576\) | −15.5053 | − | 18.3190i | −0.646055 | − | 0.763291i | ||||
\(577\) | 6.98236 | 0.290679 | 0.145340 | − | 0.989382i | \(-0.453573\pi\) | ||||
0.145340 | + | 0.989382i | \(0.453573\pi\) | |||||||
\(578\) | −19.4610 | − | 12.9247i | −0.809472 | − | 0.537597i | ||||
\(579\) | 29.4624 | − | 8.38742i | 1.22442 | − | 0.348569i | ||||
\(580\) | 0.715538 | − | 1.75522i | 0.0297111 | − | 0.0728816i | ||||
\(581\) | −9.39684 | − | 10.7150i | −0.389846 | − | 0.444535i | ||||
\(582\) | 3.66889 | + | 16.8253i | 0.152080 | + | 0.697429i | ||||
\(583\) | 34.8894 | + | 4.59327i | 1.44497 | + | 0.190234i | ||||
\(584\) | −12.4326 | + | 18.9497i | −0.514466 | + | 0.784144i | ||||
\(585\) | −2.23343 | + | 1.38378i | −0.0923411 | + | 0.0572124i | ||||
\(586\) | 4.73959 | + | 35.2374i | 0.195791 | + | 1.45564i | ||||
\(587\) | −10.2912 | − | 20.8685i | −0.424763 | − | 0.861334i | −0.999088 | − | 0.0427064i | \(-0.986402\pi\) |
0.574325 | − | 0.818628i | \(-0.305265\pi\) | |||||||
\(588\) | 23.6541 | + | 2.60649i | 0.975477 | + | 0.107490i | ||||
\(589\) | −2.28298 | − | 6.72543i | −0.0940684 | − | 0.277116i | ||||
\(590\) | 0.779593 | + | 0.679829i | 0.0320953 | + | 0.0279881i | ||||
\(591\) | −0.780818 | + | 15.6334i | −0.0321186 | + | 0.643070i | ||||
\(592\) | −9.13407 | − | 5.95618i | −0.375408 | − | 0.244798i | ||||
\(593\) | −10.5201 | − | 10.5201i | −0.432008 | − | 0.432008i | 0.457303 | − | 0.889311i | \(-0.348815\pi\) |
−0.889311 | + | 0.457303i | \(0.848815\pi\) | |||||||
\(594\) | 31.8389 | − | 27.0326i | 1.30637 | − | 1.10916i | ||||
\(595\) | 0.0657639 | − | 0.330618i | 0.00269606 | − | 0.0135540i | ||||
\(596\) | 23.1926 | − | 8.01807i | 0.950006 | − | 0.328433i | ||||
\(597\) | 3.69458 | − | 0.544955i | 0.151209 | − | 0.0223035i | ||||
\(598\) | −6.99855 | + | 54.3355i | −0.286192 | + | 2.22194i | ||||
\(599\) | −5.79599 | − | 44.0249i | −0.236818 | − | 1.79881i | −0.535584 | − | 0.844482i | \(-0.679909\pi\) |
0.298767 | − | 0.954326i | \(-0.403425\pi\) | |||||||
\(600\) | −20.6163 | − | 13.0722i | −0.841658 | − | 0.533671i | ||||
\(601\) | 1.03045 | − | 7.82706i | 0.0420330 | − | 0.319273i | −0.957492 | − | 0.288459i | \(-0.906857\pi\) |
0.999525 | − | 0.0308132i | \(-0.00980969\pi\) | |||||||
\(602\) | 4.14032 | − | 15.6269i | 0.168747 | − | 0.636906i | ||||
\(603\) | −15.1984 | − | 21.2827i | −0.618928 | − | 0.866700i | ||||
\(604\) | 8.56837 | + | 4.88313i | 0.348642 | + | 0.198692i | ||||
\(605\) | 2.77570 | − | 0.181929i | 0.112848 | − | 0.00739646i | ||||
\(606\) | −2.43376 | − | 5.58361i | −0.0988649 | − | 0.226819i | ||||
\(607\) | 15.7909 | − | 9.11688i | 0.640933 | − | 0.370043i | −0.144041 | − | 0.989572i | \(-0.546010\pi\) |
0.784974 | + | 0.619529i | \(0.212676\pi\) | |||||||
\(608\) | −7.41381 | + | 0.103889i | −0.300670 | + | 0.00421325i | ||||
\(609\) | −14.3597 | + | 44.5668i | −0.581886 | + | 1.80594i | ||||
\(610\) | −0.0662806 | − | 0.328402i | −0.00268362 | − | 0.0132966i | ||||
\(611\) | −15.2732 | − | 22.8580i | −0.617888 | − | 0.924735i | ||||
\(612\) | 3.20490 | − | 2.65156i | 0.129550 | − | 0.107183i | ||||
\(613\) | 0.520082 | + | 2.61463i | 0.0210059 | + | 0.105604i | 0.989866 | − | 0.142005i | \(-0.0453550\pi\) |
−0.968860 | + | 0.247609i | \(0.920355\pi\) | |||||||
\(614\) | 11.0629 | − | 11.1251i | 0.446462 | − | 0.448972i | ||||
\(615\) | −1.01317 | − | 1.46645i | −0.0408551 | − | 0.0591329i | ||||
\(616\) | 8.31343 | + | 59.2906i | 0.334958 | + | 2.38889i | ||||
\(617\) | −4.06840 | − | 30.9026i | −0.163788 | − | 1.24409i | −0.853919 | − | 0.520406i | \(-0.825780\pi\) |
0.690131 | − | 0.723684i | \(-0.257553\pi\) | |||||||
\(618\) | 1.73864 | + | 20.6995i | 0.0699385 | + | 0.832655i | ||||
\(619\) | −24.6054 | + | 12.1340i | −0.988973 | + | 0.487707i | −0.863478 | − | 0.504387i | \(-0.831719\pi\) |
−0.125495 | + | 0.992094i | \(0.540052\pi\) | |||||||
\(620\) | −0.100455 | − | 1.41139i | −0.00403435 | − | 0.0566826i | ||||
\(621\) | 24.6330 | + | 17.1382i | 0.988490 | + | 0.687733i | ||||
\(622\) | −16.4852 | + | 33.6663i | −0.660998 | + | 1.34989i | ||||
\(623\) | −26.7806 | + | 7.17585i | −1.07294 | + | 0.287494i | ||||
\(624\) | 29.6961 | − | 35.7475i | 1.18880 | − | 1.43104i | ||||
\(625\) | −23.9014 | − | 6.40437i | −0.956058 | − | 0.256175i | ||||
\(626\) | 6.24934 | − | 7.16642i | 0.249774 | − | 0.286428i | ||||
\(627\) | −0.200584 | − | 12.9019i | −0.00801055 | − | 0.515251i | ||||
\(628\) | −29.8258 | − | 1.78706i | −1.19018 | − | 0.0713114i | ||||
\(629\) | 1.04998 | − | 1.57141i | 0.0418656 | − | 0.0626562i | ||||
\(630\) | −1.82050 | − | 0.970342i | −0.0725303 | − | 0.0386593i | ||||
\(631\) | 4.28707 | − | 10.3499i | 0.170666 | − | 0.412023i | −0.815285 | − | 0.579060i | \(-0.803420\pi\) |
0.985951 | + | 0.167037i | \(0.0534198\pi\) | |||||||
\(632\) | −3.56508 | − | 48.1822i | −0.141811 | − | 1.91658i | ||||
\(633\) | −0.459217 | − | 5.65726i | −0.0182522 | − | 0.224856i | ||||
\(634\) | −1.70351 | − | 0.977164i | −0.0676548 | − | 0.0388082i | ||||
\(635\) | −1.37704 | − | 1.57021i | −0.0546462 | − | 0.0623120i | ||||
\(636\) | 9.07712 | − | 19.4321i | 0.359931 | − | 0.770534i | ||||
\(637\) | 3.01380 | + | 45.9817i | 0.119411 | + | 1.82186i | ||||
\(638\) | −58.2323 | − | 3.65289i | −2.30544 | − | 0.144619i | ||||
\(639\) | −1.99757 | + | 19.9475i | −0.0790225 | + | 0.789112i | ||||
\(640\) | −1.43404 | − | 0.354254i | −0.0566855 | − | 0.0140031i | ||||
\(641\) | 20.3684 | − | 35.2791i | 0.804503 | − | 1.39344i | −0.112124 | − | 0.993694i | \(-0.535765\pi\) |
0.916626 | − | 0.399745i | \(-0.130901\pi\) | |||||||
\(642\) | −3.14087 | − | 20.8882i | −0.123960 | − | 0.824392i | ||||
\(643\) | −37.2092 | − | 18.3495i | −1.46739 | − | 0.723635i | −0.479317 | − | 0.877642i | \(-0.659116\pi\) |
−0.988070 | + | 0.154006i | \(0.950782\pi\) | |||||||
\(644\) | −39.6482 | + | 16.6838i | −1.56236 | + | 0.657433i | ||||
\(645\) | −0.413946 | + | 0.557189i | −0.0162991 | + | 0.0219393i | ||||
\(646\) | −0.00360123 | − | 1.28505i | −0.000141689 | − | 0.0505598i | ||||
\(647\) | 3.19935 | + | 7.72391i | 0.125779 | + | 0.303658i | 0.974208 | − | 0.225651i | \(-0.0724510\pi\) |
−0.848429 | + | 0.529309i | \(0.822451\pi\) | |||||||
\(648\) | −9.86228 | − | 23.4678i | −0.387427 | − | 0.921900i | ||||
\(649\) | 12.1848 | − | 29.4167i | 0.478295 | − | 1.15471i | ||||
\(650\) | 17.9668 | − | 43.7220i | 0.704718 | − | 1.71492i | ||||
\(651\) | 5.10045 | + | 34.5790i | 0.199903 | + | 1.35526i | ||||
\(652\) | 23.6202 | − | 35.7827i | 0.925040 | − | 1.40136i | ||||
\(653\) | 14.4513 | + | 42.5723i | 0.565525 | + | 1.66598i | 0.733099 | + | 0.680122i | \(0.238073\pi\) |
−0.167574 | + | 0.985859i | \(0.553593\pi\) | |||||||
\(654\) | −27.2043 | + | 16.3791i | −1.06377 | + | 0.640474i | ||||
\(655\) | 0.402598 | + | 1.50252i | 0.0157308 | + | 0.0587081i | ||||
\(656\) | 25.2259 | + | 18.9110i | 0.984905 | + | 0.738352i | ||||
\(657\) | −18.6072 | + | 15.2197i | −0.725937 | + | 0.593779i | ||||
\(658\) | 9.49268 | − | 19.3860i | 0.370063 | − | 0.755745i | ||||
\(659\) | −2.11756 | − | 1.85705i | −0.0824883 | − | 0.0723403i | 0.617109 | − | 0.786878i | \(-0.288304\pi\) |
−0.699597 | + | 0.714538i | \(0.746637\pi\) | |||||||
\(660\) | 0.612675 | − | 2.49659i | 0.0238483 | − | 0.0971796i | ||||
\(661\) | −0.668854 | + | 10.2047i | −0.0260154 | + | 0.396919i | 0.964917 | + | 0.262556i | \(0.0845654\pi\) |
−0.990932 | + | 0.134363i | \(0.957101\pi\) | |||||||
\(662\) | −18.3123 | − | 2.35867i | −0.711727 | − | 0.0916723i | ||||
\(663\) | 6.13754 | + | 5.21594i | 0.238362 | + | 0.202570i | ||||
\(664\) | −6.66108 | − | 8.53141i | −0.258500 | − | 0.331083i | ||||
\(665\) | −0.588813 | + | 0.243894i | −0.0228332 | + | 0.00945782i | ||||
\(666\) | −7.34779 | − | 8.93200i | −0.284721 | − | 0.346108i | ||||
\(667\) | −8.17831 | − | 41.1151i | −0.316665 | − | 1.59198i | ||||
\(668\) | −6.13261 | + | 23.4113i | −0.237278 | + | 0.905810i | ||||
\(669\) | 18.0939 | − | 18.6654i | 0.699552 | − | 0.721647i | ||||
\(670\) | −1.52565 | − | 0.513124i | −0.0589409 | − | 0.0198237i | ||||
\(671\) | −8.93115 | + | 5.15640i | −0.344783 | + | 0.199061i | ||||
\(672\) | 35.9832 | + | 6.05799i | 1.38808 | + | 0.233692i | ||||
\(673\) | −11.4666 | − | 6.62024i | −0.442005 | − | 0.255191i | 0.262443 | − | 0.964948i | \(-0.415472\pi\) |
−0.704448 | + | 0.709756i | \(0.748805\pi\) | |||||||
\(674\) | 22.9462 | + | 26.0176i | 0.883853 | + | 1.00216i | ||||
\(675\) | −16.7027 | − | 19.7845i | −0.642886 | − | 0.761505i | ||||
\(676\) | 55.5948 | + | 31.6835i | 2.13826 | + | 1.21860i | ||||
\(677\) | −10.5665 | − | 3.58683i | −0.406102 | − | 0.137853i | 0.110911 | − | 0.993830i | \(-0.464623\pi\) |
−0.517014 | + | 0.855977i | \(0.672956\pi\) | |||||||
\(678\) | −8.23431 | − | 15.9528i | −0.316237 | − | 0.612664i | ||||
\(679\) | −20.7718 | − | 15.9387i | −0.797147 | − | 0.611672i | ||||
\(680\) | 0.0641800 | − | 0.247839i | 0.00246119 | − | 0.00950419i | ||||
\(681\) | −4.55431 | + | 24.9141i | −0.174521 | + | 0.954711i | ||||
\(682\) | −40.1932 | + | 16.7807i | −1.53908 | + | 0.642566i | ||||
\(683\) | 3.16120 | + | 2.11225i | 0.120960 | + | 0.0808229i | 0.614579 | − | 0.788856i | \(-0.289326\pi\) |
−0.493619 | + | 0.869679i | \(0.664326\pi\) | |||||||
\(684\) | −7.53468 | − | 2.25298i | −0.288096 | − | 0.0861450i | ||||
\(685\) | 0.308046 | − | 1.54865i | 0.0117699 | − | 0.0591710i | ||||
\(686\) | 0.569671 | − | 0.382955i | 0.0217501 | − | 0.0146213i | ||||
\(687\) | 14.3521 | + | 27.9973i | 0.547566 | + | 1.06817i | ||||
\(688\) | 3.81597 | − | 11.6697i | 0.145483 | − | 0.444901i | ||||
\(689\) | 40.1156 | + | 10.7489i | 1.52828 | + | 0.409502i | ||||
\(690\) | 1.84665 | − | 0.0338861i | 0.0703006 | − | 0.00129002i | ||||
\(691\) | 13.7111 | − | 15.6346i | 0.521597 | − | 0.594767i | −0.429728 | − | 0.902959i | \(-0.641390\pi\) |
0.951324 | + | 0.308192i | \(0.0997238\pi\) | |||||||
\(692\) | −2.75940 | + | 8.28113i | −0.104897 | + | 0.314801i | ||||
\(693\) | −10.4466 | + | 62.6372i | −0.396833 | + | 2.37939i | ||||
\(694\) | 3.97612 | + | 29.5613i | 0.150932 | + | 1.12213i | ||||
\(695\) | 0.603946 | + | 0.787077i | 0.0229090 | + | 0.0298555i | ||||
\(696\) | −12.8178 | + | 33.1705i | −0.485857 | + | 1.25732i | ||||
\(697\) | −3.32639 | + | 4.33504i | −0.125996 | + | 0.164201i | ||||
\(698\) | 9.26370 | − | 16.1495i | 0.350636 | − | 0.611269i | ||||
\(699\) | −3.04299 | + | 4.09600i | −0.115096 | + | 0.154925i | ||||
\(700\) | 36.7698 | − | 5.05065i | 1.38977 | − | 0.190897i | ||||
\(701\) | 8.43591 | − | 5.63669i | 0.318620 | − | 0.212895i | −0.385967 | − | 0.922512i | \(-0.626132\pi\) |
0.704587 | + | 0.709617i | \(0.251132\pi\) | |||||||
\(702\) | 41.4180 | − | 26.7255i | 1.56322 | − | 1.00869i | ||||
\(703\) | −3.57317 | −0.134765 | ||||||||
\(704\) | 3.73634 | + | 45.3163i | 0.140819 | + | 1.70792i | ||||
\(705\) | −0.687231 | + | 0.621848i | −0.0258826 | + | 0.0234202i | ||||
\(706\) | 43.2613 | − | 21.4850i | 1.62816 | − | 0.808600i | ||||
\(707\) | 8.30567 | + | 4.09590i | 0.312367 | + | 0.154042i | ||||
\(708\) | −14.8575 | − | 12.4838i | −0.558378 | − | 0.469169i | ||||
\(709\) | −16.3274 | + | 48.0991i | −0.613190 | + | 1.80640i | −0.0221542 | + | 0.999755i | \(0.507052\pi\) |
−0.591036 | + | 0.806645i | \(0.701281\pi\) | |||||||
\(710\) | 0.619927 | + | 1.06683i | 0.0232654 | + | 0.0400374i | ||||
\(711\) | 11.7180 | − | 49.8869i | 0.439457 | − | 1.87090i | ||||
\(712\) | −20.6168 | + | 4.28142i | −0.772646 | + | 0.160453i | ||||
\(713\) | −19.0503 | − | 24.8268i | −0.713439 | − | 0.929771i | ||||
\(714\) | −1.11979 | + | 6.22430i | −0.0419070 | + | 0.232939i | ||||
\(715\) | 4.96712 | + | 0.325562i | 0.185760 | + | 0.0121753i | ||||
\(716\) | −8.08843 | − | 39.5048i | −0.302279 | − | 1.47636i | ||||
\(717\) | −4.42994 | − | 2.46662i | −0.165439 | − | 0.0921175i | ||||
\(718\) | 2.83539 | − | 14.4662i | 0.105816 | − | 0.539874i | ||||
\(719\) | −16.6481 | + | 16.6481i | −0.620869 | + | 0.620869i | −0.945754 | − | 0.324885i | \(-0.894675\pi\) |
0.324885 | + | 0.945754i | \(0.394675\pi\) | |||||||
\(720\) | −1.33835 | − | 0.814575i | −0.0498775 | − | 0.0303574i | ||||
\(721\) | −22.3320 | − | 22.3320i | −0.831688 | − | 0.831688i | ||||
\(722\) | 20.2834 | − | 13.6353i | 0.754869 | − | 0.507453i | ||||
\(723\) | −50.0596 | + | 0.778271i | −1.86174 | + | 0.0289442i | ||||
\(724\) | 12.6558 | + | 2.44374i | 0.470349 | + | 0.0908208i | ||||
\(725\) | −2.36566 | + | 36.0930i | −0.0878583 | + | 1.34046i | ||||
\(726\) | −52.0034 | + | 4.36801i | −1.93003 | + | 0.162112i | ||||
\(727\) | −31.3893 | + | 24.0859i | −1.16417 | + | 0.893295i | −0.995721 | − | 0.0924158i | \(-0.970541\pi\) |
−0.168445 | + | 0.985711i | \(0.553874\pi\) | |||||||
\(728\) | 0.594023 | + | 70.6550i | 0.0220160 | + | 2.61865i | ||||
\(729\) | −2.51474 | − | 26.8826i | −0.0931387 | − | 0.995653i | ||||
\(730\) | −0.378928 | + | 1.43020i | −0.0140248 | + | 0.0529340i | ||||
\(731\) | 2.01500 | + | 0.684000i | 0.0745274 | + | 0.0252986i | ||||
\(732\) | 1.35632 | + | 6.13730i | 0.0501310 | + | 0.226841i | ||||
\(733\) | −0.832862 | + | 1.68888i | −0.0307625 | + | 0.0623801i | −0.911711 | − | 0.410831i | \(-0.865239\pi\) |
0.880949 | + | 0.473211i | \(0.156905\pi\) | |||||||
\(734\) | −2.37902 | + | 7.07342i | −0.0878112 | + | 0.261085i | ||||
\(735\) | 1.51877 | − | 0.326725i | 0.0560208 | − | 0.0120514i | ||||
\(736\) | −30.7851 | + | 10.9335i | −1.13475 | + | 0.403015i | ||||
\(737\) | 49.5479i | 1.82512i | ||||||||
\(738\) | 19.5097 | + | 27.1586i | 0.718161 | + | 0.999723i | ||||
\(739\) | −3.40400 | − | 5.09444i | −0.125218 | − | 0.187402i | 0.763564 | − | 0.645732i | \(-0.223448\pi\) |
−0.888782 | + | 0.458330i | \(0.848448\pi\) | |||||||
\(740\) | −0.688625 | − | 0.180386i | −0.0253144 | − | 0.00663112i | ||||
\(741\) | 1.75275 | − | 15.1270i | 0.0643888 | − | 0.555706i | ||||
\(742\) | 8.52806 | + | 31.4741i | 0.313075 | + | 1.15545i | ||||
\(743\) | 24.3160 | + | 18.6583i | 0.892067 | + | 0.684507i | 0.949475 | − | 0.313843i | \(-0.101617\pi\) |
−0.0574073 | + | 0.998351i | \(0.518283\pi\) | |||||||
\(744\) | 2.37012 | + | 26.4400i | 0.0868928 | + | 0.969336i | ||||
\(745\) | 1.27093 | − | 0.975219i | 0.0465633 | − | 0.0357293i | ||||
\(746\) | 3.06623 | − | 4.01926i | 0.112263 | − | 0.147156i | ||||
\(747\) | −4.02641 | − | 10.7512i | −0.147319 | − | 0.393364i | ||||
\(748\) | −7.86081 | + | 0.559489i | −0.287420 | + | 0.0204569i | ||||
\(749\) | 24.1457 | + | 21.1752i | 0.882263 | + | 0.773724i | ||||
\(750\) | −3.09853 | − | 0.769606i | −0.113142 | − | 0.0281020i | ||||
\(751\) | −3.85450 | + | 14.3852i | −0.140653 | + | 0.524923i | 0.859258 | + | 0.511543i | \(0.170926\pi\) |
−0.999910 | + | 0.0133803i | \(0.995741\pi\) | |||||||
\(752\) | 8.03709 | − | 14.2882i | 0.293082 | − | 0.521036i | ||||
\(753\) | −0.208787 | + | 4.18029i | −0.00760864 | + | 0.152338i | ||||
\(754\) | −67.5735 | − | 13.2444i | −2.46088 | − | 0.482334i | ||||
\(755\) | 0.631445 | + | 0.125602i | 0.0229806 | + | 0.00457113i | ||||
\(756\) | 34.4826 | + | 17.5749i | 1.25412 | + | 0.639192i | ||||
\(757\) | 21.1984 | − | 31.7256i | 0.770467 | − | 1.15309i | −0.213882 | − | 0.976859i | \(-0.568611\pi\) |
0.984350 | − | 0.176226i | \(-0.0563890\pi\) | |||||||
\(758\) | −6.05899 | + | 14.7444i | −0.220072 | + | 0.535542i | ||||
\(759\) | −19.1096 | − | 53.5457i | −0.693636 | − | 1.94359i | ||||
\(760\) | −0.457020 | + | 0.159435i | −0.0165779 | + | 0.00578331i | ||||
\(761\) | 4.35886 | − | 5.68058i | 0.158009 | − | 0.205921i | −0.707640 | − | 0.706574i | \(-0.750240\pi\) |
0.865648 | + | 0.500653i | \(0.166907\pi\) | |||||||
\(762\) | 26.3708 | + | 28.9798i | 0.955312 | + | 1.04983i | ||||
\(763\) | 15.5189 | − | 45.7173i | 0.561823 | − | 1.65508i | ||||
\(764\) | −24.9400 | − | 3.14131i | −0.902297 | − | 0.113649i | ||||
\(765\) | 0.143770 | − | 0.230361i | 0.00519802 | − | 0.00832872i | ||||
\(766\) | −52.1179 | − | 3.26933i | −1.88310 | − | 0.118126i | ||||
\(767\) | 18.7886 | − | 32.5427i | 0.678415 | − | 1.17505i | ||||
\(768\) | 27.0215 | + | 6.15142i | 0.975053 | + | 0.221970i | ||||
\(769\) | −10.9162 | − | 18.9073i | −0.393647 | − | 0.681816i | 0.599281 | − | 0.800539i | \(-0.295453\pi\) |
−0.992927 | + | 0.118723i | \(0.962120\pi\) | |||||||
\(770\) | 1.73847 | + | 3.50051i | 0.0626503 | + | 0.126150i | ||||
\(771\) | −36.3576 | + | 10.3504i | −1.30939 | + | 0.372759i | ||||
\(772\) | −21.3755 | + | 28.1827i | −0.769320 | + | 1.01432i | ||||
\(773\) | 18.0195 | − | 3.58431i | 0.648117 | − | 0.128919i | 0.139925 | − | 0.990162i | \(-0.455314\pi\) |
0.508192 | + | 0.861244i | \(0.330314\pi\) | |||||||
\(774\) | 7.57293 | − | 10.5941i | 0.272203 | − | 0.380799i | ||||
\(775\) | 10.3328 | + | 24.9457i | 0.371166 | + | 0.896075i | ||||
\(776\) | −15.0598 | − | 12.9847i | −0.540615 | − | 0.466124i | ||||
\(777\) | 17.2982 | + | 3.16211i | 0.620569 | + | 0.113440i | ||||
\(778\) | 10.7935 | + | 13.9850i | 0.386964 | + | 0.501386i | ||||
\(779\) | 10.3087 | + | 0.675670i | 0.369349 | + | 0.0242084i | ||||
\(780\) | 1.10146 | − | 2.82682i | 0.0394385 | − | 0.101216i | ||||
\(781\) | 25.0428 | − | 28.5558i | 0.896102 | − | 1.02181i | ||||
\(782\) | −1.83503 | − | 5.35646i | −0.0656206 | − | 0.191547i | ||||
\(783\) | −23.5201 | + | 29.4865i | −0.840540 | + | 1.05376i | ||||
\(784\) | −23.6417 | + | 14.0052i | −0.844348 | + | 0.500187i | ||||
\(785\) | −1.88410 | + | 0.504843i | −0.0672464 | + | 0.0180186i | ||||
\(786\) | −8.06904 | − | 28.0453i | −0.287813 | − | 1.00034i | ||||
\(787\) | −21.0927 | + | 7.16001i | −0.751874 | + | 0.255227i | −0.670959 | − | 0.741494i | \(-0.734118\pi\) |
−0.0809149 | + | 0.996721i | \(0.525784\pi\) | |||||||
\(788\) | −10.1256 | − | 14.9718i | −0.360711 | − | 0.533347i | ||||
\(789\) | −5.60920 | + | 14.1605i | −0.199693 | + | 0.504127i | ||||
\(790\) | −1.21515 | − | 2.91052i | −0.0432329 | − | 0.103552i | ||||
\(791\) | 25.2174 | + | 10.4454i | 0.896628 | + | 0.371395i | ||||
\(792\) | −10.6331 | + | 47.0415i | −0.377831 | + | 1.67155i | ||||
\(793\) | −11.2444 | + | 4.65759i | −0.399301 | + | 0.165396i | ||||
\(794\) | 11.7834 | − | 11.8497i | 0.418179 | − | 0.420529i | ||||
\(795\) | 0.161153 | − | 1.39083i | 0.00571552 | − | 0.0493276i | ||||
\(796\) | −3.03211 | + | 3.06629i | −0.107470 | + | 0.108682i | ||||
\(797\) | 7.95785 | − | 16.1369i | 0.281882 | − | 0.571599i | −0.709176 | − | 0.705031i | \(-0.750933\pi\) |
0.991058 | + | 0.133432i | \(0.0425997\pi\) | |||||||
\(798\) | 10.9609 | − | 4.77760i | 0.388012 | − | 0.169125i | ||||
\(799\) | 2.46060 | + | 1.42063i | 0.0870498 | + | 0.0502582i | ||||
\(800\) | 28.0989 | − | 2.23750i | 0.993446 | − | 0.0791076i | ||||
\(801\) | −22.2228 | − | 2.22542i | −0.785204 | − | 0.0786312i | ||||
\(802\) | 3.76335 | + | 4.26709i | 0.132888 | + | 0.150676i | ||||
\(803\) | 45.4462 | − | 2.97870i | 1.60376 | − | 0.105116i | ||||
\(804\) | 28.7944 | + | 9.09995i | 1.01550 | + | 0.320930i | ||||
\(805\) | −2.11125 | + | 1.85152i | −0.0744118 | + | 0.0652574i | ||||
\(806\) | −49.6140 | + | 13.4432i | −1.74758 | + | 0.473515i | ||||
\(807\) | 6.90424 | − | 14.5670i | 0.243041 | − | 0.512782i | ||||
\(808\) | 6.12032 | + | 3.46529i | 0.215312 | + | 0.121908i | ||||
\(809\) | −38.9940 | − | 16.1519i | −1.37096 | − | 0.567869i | −0.428909 | − | 0.903348i | \(-0.641102\pi\) |
−0.942048 | + | 0.335479i | \(0.891102\pi\) | |||||||
\(810\) | −1.09512 | − | 1.24991i | −0.0384785 | − | 0.0439175i | ||||
\(811\) | −2.25364 | − | 1.50584i | −0.0791361 | − | 0.0528771i | 0.515373 | − | 0.856966i | \(-0.327653\pi\) |
−0.594509 | + | 0.804089i | \(0.702653\pi\) | |||||||
\(812\) | −17.6658 | − | 51.0992i | −0.619949 | − | 1.79323i | ||||
\(813\) | −6.24737 | − | 10.4424i | −0.219105 | − | 0.366233i | ||||
\(814\) | 1.49443 | + | 21.8616i | 0.0523796 | + | 0.766249i | ||||
\(815\) | 0.724430 | − | 2.70361i | 0.0253757 | − | 0.0947034i | ||||
\(816\) | −1.11857 | + | 4.67101i | −0.0391578 | + | 0.163518i | ||||
\(817\) | −1.04127 | − | 3.88607i | −0.0364294 | − | 0.135956i | ||||
\(818\) | 13.8192 | − | 4.73422i | 0.483177 | − | 0.165528i | ||||
\(819\) | −21.8721 | + | 71.6809i | −0.764273 | + | 2.50473i | ||||
\(820\) | 1.95260 | + | 0.650637i | 0.0681878 | + | 0.0227212i | ||||
\(821\) | −8.24156 | − | 16.7122i | −0.287633 | − | 0.583261i | 0.704318 | − | 0.709884i | \(-0.251253\pi\) |
−0.991951 | + | 0.126623i | \(0.959586\pi\) | |||||||
\(822\) | −5.24522 | + | 29.1554i | −0.182948 | + | 1.01691i | ||||
\(823\) | −6.02375 | + | 0.793042i | −0.209975 | + | 0.0276437i | −0.234780 | − | 0.972049i | \(-0.575437\pi\) |
0.0248050 | + | 0.999692i | \(0.492104\pi\) | |||||||
\(824\) | −15.9660 | − | 17.8999i | −0.556203 | − | 0.623573i | ||||
\(825\) | 3.96889 | + | 48.8941i | 0.138179 | + | 1.70228i | ||||
\(826\) | 29.5046 | − | 0.0826836i | 1.02660 | − | 0.00287693i | ||||
\(827\) | 53.5698 | − | 10.6557i | 1.86281 | − | 0.370535i | 0.870279 | − | 0.492560i | \(-0.163939\pi\) |
0.992527 | + | 0.122025i | \(0.0389387\pi\) | |||||||
\(828\) | −34.6274 | + | 1.27126i | −1.20339 | + | 0.0441794i | ||||
\(829\) | −16.0619 | + | 10.7322i | −0.557853 | + | 0.372746i | −0.802304 | − | 0.596916i | \(-0.796392\pi\) |
0.244450 | + | 0.969662i | \(0.421392\pi\) | |||||||
\(830\) | −0.588610 | − | 0.390915i | −0.0204309 | − | 0.0135689i | ||||
\(831\) | 8.45335 | + | 39.2952i | 0.293244 | + | 1.36313i | ||||
\(832\) | −2.60887 | + | 53.5990i | −0.0904463 | + | 1.85821i | ||||
\(833\) | −2.38125 | − | 4.12444i | −0.0825054 | − | 0.142904i | ||||
\(834\) | −11.5996 | − | 14.5560i | −0.401662 | − | 0.504032i | ||||
\(835\) | 0.103330 | + | 1.57651i | 0.00357587 | + | 0.0545572i | ||||
\(836\) | 9.13641 | + | 11.7696i | 0.315989 | + | 0.407061i | ||||
\(837\) | −6.01153 | + | 27.5070i | −0.207789 | + | 0.950782i | ||||
\(838\) | −7.60716 | − | 13.0911i | −0.262785 | − | 0.452225i | ||||
\(839\) | 2.50500 | + | 0.329789i | 0.0864822 | + | 0.0113856i | 0.173643 | − | 0.984809i | \(-0.444446\pi\) |
−0.0871609 | + | 0.996194i | \(0.527779\pi\) | |||||||
\(840\) | 2.35359 | − | 0.367401i | 0.0812065 | − | 0.0126765i | ||||
\(841\) | 23.4879 | − | 3.09225i | 0.809929 | − | 0.106629i | ||||
\(842\) | −0.496140 | + | 0.382915i | −0.0170981 | + | 0.0131961i | ||||
\(843\) | 21.3876 | + | 8.47196i | 0.736628 | + | 0.291790i | ||||
\(844\) | 4.34885 | + | 4.90320i | 0.149694 | + | 0.168775i | ||||
\(845\) | 4.09705 | + | 0.814953i | 0.140943 | + | 0.0280352i | ||||
\(846\) | 12.6769 | − | 11.9011i | 0.435841 | − | 0.409167i | ||||
\(847\) | 56.1049 | − | 56.1049i | 1.92779 | − | 1.92779i | ||||
\(848\) | 5.10350 | + | 24.2341i | 0.175255 | + | 0.832201i | ||||
\(849\) | 4.86376 | + | 9.48799i | 0.166924 | + | 0.325627i | ||||
\(850\) | 0.333181 | + | 4.87403i | 0.0114280 | + | 0.167178i | ||||
\(851\) | −14.9081 | + | 5.06063i | −0.511045 | + | 0.173476i | ||||
\(852\) | −11.9957 | − | 19.7980i | −0.410966 | − | 0.678269i | ||||
\(853\) | 17.5026 | − | 8.63131i | 0.599276 | − | 0.295530i | −0.117237 | − | 0.993104i | \(-0.537404\pi\) |
0.716513 | + | 0.697574i | \(0.245737\pi\) | |||||||
\(854\) | −7.59779 | − | 5.79623i | −0.259991 | − | 0.198343i | ||||
\(855\) | −0.513145 | + | 0.0159595i | −0.0175492 | + | 0.000545803i | ||||
\(856\) | 17.3913 | + | 17.1013i | 0.594422 | + | 0.584510i | ||||
\(857\) | −4.07956 | + | 30.9873i | −0.139355 | + | 1.05851i | 0.768686 | + | 0.639626i | \(0.220911\pi\) |
−0.908041 | + | 0.418881i | \(0.862422\pi\) | |||||||
\(858\) | −93.2845 | − | 4.39712i | −3.18468 | − | 0.150115i | ||||
\(859\) | −34.2919 | + | 30.0731i | −1.17002 | + | 1.02608i | −0.170855 | + | 0.985296i | \(0.554653\pi\) |
−0.999168 | + | 0.0407863i | \(0.987014\pi\) | |||||||
\(860\) | −0.00449225 | − | 0.801495i | −0.000153185 | − | 0.0273308i | ||||
\(861\) | −49.3080 | − | 12.3938i | −1.68041 | − | 0.422380i | ||||
\(862\) | 7.21089 | − | 1.45535i | 0.245604 | − | 0.0495695i | ||||
\(863\) | − | 18.6143i | − | 0.633639i | −0.948486 | − | 0.316820i | \(-0.897385\pi\) | ||
0.948486 | − | 0.316820i | \(-0.102615\pi\) | |||||||
\(864\) | 25.3850 | + | 14.8190i | 0.863615 | + | 0.504152i | ||||
\(865\) | 0.569827i | 0.0193747i | ||||||||
\(866\) | 5.17982 | + | 25.6646i | 0.176017 | + | 0.872118i | ||||
\(867\) | 27.7492 | + | 6.97492i | 0.942414 | + | 0.236881i | ||||
\(868\) | −28.6987 | − | 28.3788i | −0.974096 | − | 0.963238i | ||||
\(869\) | −72.9941 | + | 64.0141i | −2.47616 | + | 2.17153i | ||||
\(870\) | −0.109305 | + | 2.31889i | −0.00370578 | + | 0.0786178i | ||||
\(871\) | −7.63252 | + | 57.9747i | −0.258618 | + | 1.96440i | ||||
\(872\) | 13.7465 | − | 33.9926i | 0.465516 | − | 1.15113i | ||||
\(873\) | −11.1081 | − | 17.9286i | −0.375954 | − | 0.606791i | ||||
\(874\) | −6.49294 | + | 8.51105i | −0.219627 | + | 0.287891i | ||||
\(875\) | 4.35354 | − | 2.14693i | 0.147177 | − | 0.0725795i | ||||
\(876\) | 6.61558 | − | 26.9579i | 0.223520 | − | 0.910822i | ||||
\(877\) | −8.88000 | + | 3.01436i | −0.299856 | + | 0.101788i | −0.467313 | − | 0.884092i | \(-0.654778\pi\) |
0.167457 | + | 0.985879i | \(0.446445\pi\) | |||||||
\(878\) | −17.6466 | + | 1.20630i | −0.595545 | + | 0.0407105i | ||||
\(879\) | −19.8644 | − | 38.7506i | −0.670011 | − | 1.30703i | ||||
\(880\) | 1.16661 | + | 2.72949i | 0.0393263 | + | 0.0920112i | ||||
\(881\) | 18.9215 | − | 18.9215i | 0.637482 | − | 0.637482i | −0.312451 | − | 0.949934i | \(-0.601150\pi\) |
0.949934 | + | 0.312451i | \(0.101150\pi\) | |||||||
\(882\) | −28.3764 | + | 6.65143i | −0.955484 | + | 0.223965i | ||||
\(883\) | 51.9345 | + | 10.3304i | 1.74773 | + | 0.347646i | 0.962443 | − | 0.271482i | \(-0.0875138\pi\) |
0.785290 | + | 0.619128i | \(0.212514\pi\) | |||||||
\(884\) | −9.28391 | − | 0.556261i | −0.312252 | − | 0.0187091i | ||||
\(885\) | −1.17781 | − | 0.466548i | −0.0395916 | − | 0.0156828i | ||||
\(886\) | 12.5236 | + | 16.2267i | 0.420738 | + | 0.545147i | ||||
\(887\) | 57.3755 | − | 7.55363i | 1.92648 | − | 0.253626i | 0.932329 | − | 0.361612i | \(-0.117774\pi\) |
0.994152 | + | 0.107986i | \(0.0344402\pi\) | |||||||
\(888\) | 12.9792 | + | 3.14662i | 0.435554 | + | 0.105594i | ||||
\(889\) | −59.0630 | − | 7.77578i | −1.98091 | − | 0.260791i | ||||
\(890\) | −1.18851 | + | 0.690637i | −0.0398391 | + | 0.0231502i | ||||
\(891\) | −25.7215 | + | 44.2167i | −0.861703 | + | 1.48131i | ||||
\(892\) | −3.75121 | + | 29.7822i | −0.125600 | + | 0.997182i | ||||
\(893\) | −0.351333 | − | 5.36031i | −0.0117569 | − | 0.179376i | ||||
\(894\) | −23.5042 | + | 18.7305i | −0.786099 | + | 0.626440i | ||||
\(895\) | −1.31622 | − | 2.27975i | −0.0439963 | − | 0.0762038i | ||||
\(896\) | −37.4165 | + | 19.3733i | −1.25000 | + | 0.647216i | ||||
\(897\) | −14.1113 | − | 65.5962i | −0.471164 | − | 2.19019i | ||||
\(898\) | 13.2815 | − | 19.9982i | 0.443208 | − | 0.667349i | ||||
\(899\) | 32.7044 | − | 21.8524i | 1.09075 | − | 0.728818i | ||||
\(900\) | 29.1434 | + | 6.67338i | 0.971448 | + | 0.222446i | ||||
\(901\) | −4.20981 | + | 0.837383i | −0.140249 | + | 0.0278973i | ||||
\(902\) | −0.177544 | − | 63.3543i | −0.00591157 | − | 2.10947i | ||||
\(903\) | 1.60191 | + | 19.7345i | 0.0533081 | + | 0.656722i | ||||
\(904\) | 18.6685 | + | 9.01197i | 0.620905 | + | 0.299734i | ||||
\(905\) | 0.834252 | − | 0.109831i | 0.0277315 | − | 0.00365092i | ||||
\(906\) | −11.8878 | − | 2.13868i | −0.394944 | − | 0.0710527i | ||||
\(907\) | 11.0862 | + | 22.4807i | 0.368113 | + | 0.746458i | 0.999581 | − | 0.0289431i | \(-0.00921417\pi\) |
−0.631469 | + | 0.775402i | \(0.717548\pi\) | |||||||
\(908\) | −13.0816 | − | 26.1562i | −0.434127 | − | 0.868024i | ||||
\(909\) | 5.09062 | + | 5.45302i | 0.168845 | + | 0.180865i | ||||
\(910\) | 1.49491 | + | 4.36366i | 0.0495559 | + | 0.144654i | ||||
\(911\) | −3.65827 | − | 13.6529i | −0.121204 | − | 0.452340i | 0.878472 | − | 0.477794i | \(-0.158563\pi\) |
−0.999676 | + | 0.0254543i | \(0.991897\pi\) | |||||||
\(912\) | 8.51783 | − | 3.14796i | 0.282053 | − | 0.104239i | ||||
\(913\) | −5.62946 | + | 21.0094i | −0.186308 | + | 0.695311i | ||||
\(914\) | 53.1040 | − | 3.63010i | 1.75652 | − | 0.120073i | ||||
\(915\) | 0.210659 | + | 0.352115i | 0.00696416 | + | 0.0116406i | ||||
\(916\) | −32.6718 | − | 15.8849i | −1.07951 | − | 0.524853i | ||||
\(917\) | 36.8922 | + | 24.6506i | 1.21829 | + | 0.814034i | ||||
\(918\) | −2.61752 | + | 4.37056i | −0.0863912 | + | 0.144250i | ||||
\(919\) | −0.753118 | − | 0.311952i | −0.0248431 | − | 0.0102903i | 0.370227 | − | 0.928941i | \(-0.379280\pi\) |
−0.395070 | + | 0.918651i | \(0.629280\pi\) | |||||||
\(920\) | −1.68100 | + | 1.31247i | −0.0554208 | + | 0.0432710i | ||||
\(921\) | −8.22984 | + | 17.3638i | −0.271182 | + | 0.572157i | ||||
\(922\) | 9.21960 | + | 34.0263i | 0.303631 | + | 1.12060i | ||||
\(923\) | 33.7008 | − | 29.5548i | 1.10927 | − | 0.972808i | ||||
\(924\) | −33.8149 | − | 65.0637i | −1.11243 | − | 2.14044i | ||||
\(925\) | 13.5550 | − | 0.888443i | 0.445686 | − | 0.0292118i | ||||
\(926\) | 9.96421 | − | 8.78790i | 0.327444 | − | 0.288788i | ||||
\(927\) | −10.4617 | − | 23.1903i | −0.343609 | − | 0.761668i | ||||
\(928\) | −11.1824 | − | 39.5102i | −0.367079 | − | 1.29699i | ||||
\(929\) | 1.71213 | + | 0.988499i | 0.0561732 | + | 0.0324316i | 0.527824 | − | 0.849354i | \(-0.323008\pi\) |
−0.471650 | + | 0.881786i | \(0.656342\pi\) | |||||||
\(930\) | 0.692438 | + | 1.58861i | 0.0227059 | + | 0.0520926i | ||||
\(931\) | −3.98245 | + | 8.07562i | −0.130520 | + | 0.264668i | ||||
\(932\) | −0.0330234 | − | 5.89194i | −0.00108172 | − | 0.192997i | ||||
\(933\) | 5.28422 | − | 45.6054i | 0.172998 | − | 1.49305i | ||||
\(934\) | 32.8360 | + | 32.6525i | 1.07443 | + | 1.06842i | ||||
\(935\) | −0.475302 | + | 0.196877i | −0.0155440 | + | 0.00643855i | ||||
\(936\) | −19.6879 | + | 53.4041i | −0.643521 | + | 1.74557i | ||||
\(937\) | 0.992490 | + | 0.411103i | 0.0324232 | + | 0.0134301i | 0.398836 | − | 0.917022i | \(-0.369414\pi\) |
−0.366413 | + | 0.930452i | \(0.619414\pi\) | |||||||
\(938\) | −42.3689 | + | 17.6890i | −1.38339 | + | 0.577568i | ||||
\(939\) | −4.28875 | + | 10.8270i | −0.139958 | + | 0.353326i | ||||
\(940\) | 0.202898 | − | 1.05078i | 0.00661779 | − | 0.0342727i | ||||
\(941\) | −19.6581 | + | 6.67303i | −0.640836 | + | 0.217535i | −0.622896 | − | 0.782304i | \(-0.714044\pi\) |
−0.0179401 | + | 0.999839i | \(0.505711\pi\) | |||||||
\(942\) | 35.1678 | − | 10.1183i | 1.14583 | − | 0.329671i | ||||
\(943\) | 43.9675 | − | 11.7811i | 1.43178 | − | 0.383644i | ||||
\(944\) | 22.3750 | + | 1.21482i | 0.728246 | + | 0.0395390i | ||||
\(945\) | 2.49833 | + | 0.376851i | 0.0812706 | + | 0.0122590i | ||||
\(946\) | −23.3405 | + | 7.99606i | −0.758867 | + | 0.259974i | ||||
\(947\) | 7.37867 | − | 8.41377i | 0.239775 | − | 0.273411i | −0.619420 | − | 0.785060i | \(-0.712632\pi\) |
0.859194 | + | 0.511649i | \(0.170965\pi\) | |||||||
\(948\) | 23.7953 | + | 54.1769i | 0.772836 | + | 1.75958i | ||||
\(949\) | 53.6343 | + | 3.51538i | 1.74104 | + | 0.114114i | ||||
\(950\) | 7.31208 | − | 5.64338i | 0.237235 | − | 0.183096i | ||||
\(951\) | 2.36603 | + | 0.432511i | 0.0767238 | + | 0.0140251i | ||||
\(952\) | −3.28480 | − | 6.52211i | −0.106461 | − | 0.211383i | ||||
\(953\) | 5.00127 | + | 12.0741i | 0.162007 | + | 0.391120i | 0.983949 | − | 0.178452i | \(-0.0571090\pi\) |
−0.821941 | + | 0.569572i | \(0.807109\pi\) | |||||||
\(954\) | −2.54415 | + | 26.1444i | −0.0823699 | + | 0.846457i | ||||
\(955\) | −1.60945 | + | 0.320140i | −0.0520807 | + | 0.0103595i | ||||
\(956\) | 5.80029 | − | 0.796720i | 0.187595 | − | 0.0257678i | ||||
\(957\) | 68.7292 | − | 19.5660i | 2.22170 | − | 0.632477i | ||||
\(958\) | −26.2698 | + | 13.0465i | −0.848738 | + | 0.421512i | ||||
\(959\) | −22.5198 | − | 39.0054i | −0.727201 | − | 1.25955i | ||||
\(960\) | 1.80049 | − | 0.176669i | 0.0581104 | − | 0.00570197i | ||||
\(961\) | −0.818985 | + | 1.41852i | −0.0264189 | + | 0.0457588i | ||||
\(962\) | −1.61905 | + | 25.8099i | −0.0522001 | + | 0.832146i | ||||
\(963\) | 12.1579 | + | 22.8355i | 0.391783 | + | 0.735863i | ||||
\(964\) | 45.6664 | − | 35.4495i | 1.47082 | − | 1.14175i | ||||
\(965\) | −0.742247 | + | 2.18659i | −0.0238938 | + | 0.0703888i | ||||
\(966\) | 38.9652 | − | 35.4571i | 1.25368 | − | 1.14081i | ||||
\(967\) | −2.76355 | + | 3.60153i | −0.0888698 | + | 0.115817i | −0.835672 | − | 0.549229i | \(-0.814922\pi\) |
0.746802 | + | 0.665046i | \(0.231588\pi\) | |||||||
\(968\) | 44.9701 | − | 40.1116i | 1.44539 | − | 1.28923i | ||||
\(969\) | 0.529010 | + | 1.48230i | 0.0169942 | + | 0.0476183i | ||||
\(970\) | −1.20068 | − | 0.493399i | −0.0385514 | − | 0.0158421i | ||||
\(971\) | −33.2013 | + | 49.6892i | −1.06548 | + | 1.59460i | −0.296833 | + | 0.954929i | \(0.595930\pi\) |
−0.768647 | + | 0.639674i | \(0.779070\pi\) | |||||||
\(972\) | 20.9722 | + | 23.0687i | 0.672685 | + | 0.739929i | ||||
\(973\) | 27.7548 | + | 5.52077i | 0.889777 | + | 0.176988i | ||||
\(974\) | −8.10970 | + | 41.3759i | −0.259851 | + | 1.32577i | ||||
\(975\) | −2.88792 | + | 57.8211i | −0.0924873 | + | 1.85176i | ||||
\(976\) | −5.50996 | − | 4.72389i | −0.176369 | − | 0.151208i | ||||
\(977\) | 2.21772 | − | 8.27665i | 0.0709512 | − | 0.264794i | −0.921334 | − | 0.388773i | \(-0.872899\pi\) |
0.992285 | + | 0.123979i | \(0.0395657\pi\) | |||||||
\(978\) | −12.6581 | + | 50.9632i | −0.404763 | + | 1.62962i | ||||
\(979\) | 31.8130 | + | 27.8993i | 1.01675 | + | 0.891664i | ||||
\(980\) | −1.17519 | + | 1.35529i | −0.0375400 | + | 0.0432933i | ||||
\(981\) | 24.7214 | − | 30.0229i | 0.789292 | − | 0.958558i | ||||
\(982\) | 22.3539 | + | 17.0534i | 0.713341 | + | 0.544197i | ||||
\(983\) | 12.2576 | − | 9.40560i | 0.390957 | − | 0.299992i | −0.394514 | − | 0.918890i | \(-0.629087\pi\) |
0.785472 | + | 0.618898i | \(0.212420\pi\) | |||||||
\(984\) | −36.8505 | − | 11.5324i | −1.17475 | − | 0.367641i | ||||
\(985\) | −0.936093 | − | 0.718290i | −0.0298264 | − | 0.0228866i | ||||
\(986\) | 6.86905 | − | 1.86120i | 0.218755 | − | 0.0592728i | ||||
\(987\) | −3.04281 | + | 26.2609i | −0.0968536 | + | 0.835893i | ||||
\(988\) | 8.87725 | + | 15.1787i | 0.282423 | + | 0.482900i | ||||
\(989\) | −9.84822 | − | 14.7389i | −0.313155 | − | 0.468670i | ||||
\(990\) | 0.312260 | + | 3.13289i | 0.00992428 | + | 0.0995697i | ||||
\(991\) | 52.5489i | 1.66927i | 0.550802 | + | 0.834636i | \(0.314322\pi\) | ||||
−0.550802 | + | 0.834636i | \(0.685678\pi\) | |||||||
\(992\) | −20.5316 | − | 22.7604i | −0.651880 | − | 0.722645i | ||||
\(993\) | 22.1074 | − | 4.75584i | 0.701557 | − | 0.150922i | ||||
\(994\) | 33.3589 | + | 11.2197i | 1.05808 | + | 0.355866i | ||||
\(995\) | −0.124510 | + | 0.252481i | −0.00394723 | + | 0.00800419i | ||||
\(996\) | 11.1756 | + | 7.13011i | 0.354112 | + | 0.225926i | ||||
\(997\) | 19.4524 | + | 6.60320i | 0.616063 | + | 0.209125i | 0.611989 | − | 0.790866i | \(-0.290370\pi\) |
0.00407444 | + | 0.999992i | \(0.498703\pi\) | |||||||
\(998\) | −5.69157 | − | 1.50797i | −0.180164 | − | 0.0477339i | ||||
\(999\) | 12.1321 | + | 7.31218i | 0.383843 | + | 0.231347i |
(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 | 576.2.bm.a.205.65 | yes | 1504 | |
9.4 | even | 3 | inner | 576.2.bm.a.13.62 | ✓ | 1504 | |
64.5 | even | 16 | inner | 576.2.bm.a.133.62 | yes | 1504 | |
576.517 | even | 48 | inner | 576.2.bm.a.517.65 | yes | 1504 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
576.2.bm.a.13.62 | ✓ | 1504 | 9.4 | even | 3 | inner | |
576.2.bm.a.133.62 | yes | 1504 | 64.5 | even | 16 | inner | |
576.2.bm.a.205.65 | yes | 1504 | 1.1 | even | 1 | trivial | |
576.2.bm.a.517.65 | yes | 1504 | 576.517 | even | 48 | inner |