Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [672,2,Mod(125,672)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(672, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([0, 3, 4, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("672.125");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 672 = 2^{5} \cdot 3 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 672.bo (of order \(8\), degree \(4\), 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: | \(5.36594701583\) |
Analytic rank: | \(0\) |
Dimension: | \(496\) |
Relative dimension: | \(124\) over \(\Q(\zeta_{8})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{8}]$ |
Embedding invariants
Embedding label | 125.6 | ||
Character | \(\chi\) | \(=\) | 672.125 |
Dual form | 672.2.bo.a.629.6 |
$q$-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 \(\left(\mathbb{Z}/672\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(421\) | \(449\) | \(577\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{3}{8}\right)\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.39741 | + | 0.217363i | −0.988118 | + | 0.153699i | ||||
\(3\) | 0.679260 | + | 1.59330i | 0.392171 | + | 0.919892i | ||||
\(4\) | 1.90551 | − | 0.607491i | 0.952753 | − | 0.303745i | ||||
\(5\) | −0.491250 | − | 1.18598i | −0.219694 | − | 0.530387i | 0.775154 | − | 0.631773i | \(-0.217672\pi\) |
−0.994847 | + | 0.101386i | \(0.967672\pi\) | |||||||
\(6\) | −1.29553 | − | 2.07885i | −0.528897 | − | 0.848686i | ||||
\(7\) | −2.64335 | − | 0.112587i | −0.999094 | − | 0.0425538i | ||||
\(8\) | −2.53073 | + | 1.26310i | −0.894747 | + | 0.446573i | ||||
\(9\) | −2.07721 | + | 2.16453i | −0.692404 | + | 0.721510i | ||||
\(10\) | 0.944266 | + | 1.55052i | 0.298603 | + | 0.490318i | ||||
\(11\) | −1.77535 | − | 4.28607i | −0.535288 | − | 1.29230i | −0.927980 | − | 0.372629i | \(-0.878456\pi\) |
0.392693 | − | 0.919670i | \(-0.371544\pi\) | |||||||
\(12\) | 2.26225 | + | 2.62340i | 0.653055 | + | 0.757310i | ||||
\(13\) | 0.783054 | + | 0.324352i | 0.217180 | + | 0.0899590i | 0.488621 | − | 0.872496i | \(-0.337500\pi\) |
−0.271441 | + | 0.962455i | \(0.587500\pi\) | |||||||
\(14\) | 3.71832 | − | 0.417238i | 0.993763 | − | 0.111512i | ||||
\(15\) | 1.55594 | − | 1.58830i | 0.401742 | − | 0.410097i | ||||
\(16\) | 3.26191 | − | 2.31516i | 0.815477 | − | 0.578789i | ||||
\(17\) | − | 1.90168i | − | 0.461224i | −0.973046 | − | 0.230612i | \(-0.925927\pi\) | ||
0.973046 | − | 0.230612i | \(-0.0740729\pi\) | |||||||
\(18\) | 2.43223 | − | 3.47624i | 0.573282 | − | 0.819358i | ||||
\(19\) | 7.09674 | + | 2.93957i | 1.62810 | + | 0.674383i | 0.995018 | − | 0.0996979i | \(-0.0317876\pi\) |
0.633087 | + | 0.774081i | \(0.281788\pi\) | |||||||
\(20\) | −1.65655 | − | 1.96147i | −0.370416 | − | 0.438597i | ||||
\(21\) | −1.61614 | − | 4.28813i | −0.352671 | − | 0.935748i | ||||
\(22\) | 3.41252 | + | 5.60350i | 0.727552 | + | 1.19467i | ||||
\(23\) | 5.55180 | − | 5.55180i | 1.15763 | − | 1.15763i | 0.172645 | − | 0.984984i | \(-0.444769\pi\) |
0.984984 | − | 0.172645i | \(-0.0552314\pi\) | |||||||
\(24\) | −3.73152 | − | 3.17423i | −0.761693 | − | 0.647938i | ||||
\(25\) | 2.37031 | − | 2.37031i | 0.474062 | − | 0.474062i | ||||
\(26\) | −1.16475 | − | 0.283045i | −0.228426 | − | 0.0555097i | ||||
\(27\) | −4.85971 | − | 1.83935i | −0.935252 | − | 0.353983i | ||||
\(28\) | −5.10532 | + | 1.39128i | −0.964816 | + | 0.262927i | ||||
\(29\) | 1.32060 | − | 3.18821i | 0.245229 | − | 0.592035i | −0.752558 | − | 0.658526i | \(-0.771180\pi\) |
0.997787 | + | 0.0664910i | \(0.0211804\pi\) | |||||||
\(30\) | −1.82905 | + | 2.55771i | −0.333937 | + | 0.466971i | ||||
\(31\) | 3.29238i | 0.591329i | 0.955292 | + | 0.295664i | \(0.0955410\pi\) | ||||
−0.955292 | + | 0.295664i | \(0.904459\pi\) | |||||||
\(32\) | −4.05499 | + | 3.94424i | −0.716828 | + | 0.697250i | ||||
\(33\) | 5.62307 | − | 5.74002i | 0.978852 | − | 0.999209i | ||||
\(34\) | 0.413355 | + | 2.65742i | 0.0708897 | + | 0.455744i | ||||
\(35\) | 1.16502 | + | 3.19028i | 0.196925 | + | 0.539255i | ||||
\(36\) | −2.64321 | + | 5.38641i | −0.440535 | + | 0.897735i | ||||
\(37\) | −3.68551 | − | 8.89762i | −0.605895 | − | 1.46276i | −0.867427 | − | 0.497565i | \(-0.834228\pi\) |
0.261532 | − | 0.965195i | \(-0.415772\pi\) | |||||||
\(38\) | −10.5560 | − | 2.56521i | −1.71241 | − | 0.416132i | ||||
\(39\) | 0.0151074 | + | 1.46796i | 0.00241912 | + | 0.235062i | ||||
\(40\) | 2.74123 | + | 2.38090i | 0.433427 | + | 0.376453i | ||||
\(41\) | −2.07087 | − | 2.07087i | −0.323415 | − | 0.323415i | 0.526661 | − | 0.850076i | \(-0.323444\pi\) |
−0.850076 | + | 0.526661i | \(0.823444\pi\) | |||||||
\(42\) | 3.19049 | + | 5.64099i | 0.492303 | + | 0.870424i | ||||
\(43\) | −1.34745 | + | 0.558131i | −0.205484 | + | 0.0851142i | −0.483052 | − | 0.875592i | \(-0.660472\pi\) |
0.277568 | + | 0.960706i | \(0.410472\pi\) | |||||||
\(44\) | −5.98669 | − | 7.08863i | −0.902527 | − | 1.06865i | ||||
\(45\) | 3.58752 | + | 1.40021i | 0.534796 | + | 0.208731i | ||||
\(46\) | −6.55137 | + | 8.96489i | −0.965948 | + | 1.32180i | ||||
\(47\) | 3.10014i | 0.452202i | 0.974104 | + | 0.226101i | \(0.0725979\pi\) | ||||
−0.974104 | + | 0.226101i | \(0.927402\pi\) | |||||||
\(48\) | 5.90442 | + | 3.62461i | 0.852230 | + | 0.523167i | ||||
\(49\) | 6.97465 | + | 0.595214i | 0.996378 | + | 0.0850305i | ||||
\(50\) | −2.79707 | + | 3.82751i | −0.395566 | + | 0.541291i | ||||
\(51\) | 3.02994 | − | 1.29173i | 0.424277 | − | 0.180879i | ||||
\(52\) | 1.68916 | + | 0.142356i | 0.234244 | + | 0.0197412i | ||||
\(53\) | −2.74572 | − | 6.62876i | −0.377154 | − | 0.910530i | −0.992497 | − | 0.122270i | \(-0.960983\pi\) |
0.615343 | − | 0.788259i | \(-0.289017\pi\) | |||||||
\(54\) | 7.19081 | + | 1.51400i | 0.978546 | + | 0.206029i | ||||
\(55\) | −4.21106 | + | 4.21106i | −0.567819 | + | 0.567819i | ||||
\(56\) | 6.83182 | − | 3.05390i | 0.912940 | − | 0.408094i | ||||
\(57\) | 0.136917 | + | 13.3040i | 0.0181351 | + | 1.76215i | ||||
\(58\) | −1.15242 | + | 4.74228i | −0.151320 | + | 0.622692i | ||||
\(59\) | 3.16388 | + | 7.63828i | 0.411902 | + | 0.994420i | 0.984627 | + | 0.174672i | \(0.0558865\pi\) |
−0.572724 | + | 0.819748i | \(0.694114\pi\) | |||||||
\(60\) | 1.99998 | − | 3.97173i | 0.258196 | − | 0.512748i | ||||
\(61\) | 5.90476 | − | 14.2553i | 0.756027 | − | 1.82521i | 0.234119 | − | 0.972208i | \(-0.424779\pi\) |
0.521907 | − | 0.853002i | \(-0.325221\pi\) | |||||||
\(62\) | −0.715642 | − | 4.60080i | −0.0908866 | − | 0.584302i | ||||
\(63\) | 5.73451 | − | 5.48775i | 0.722480 | − | 0.691392i | ||||
\(64\) | 4.80915 | − | 6.39312i | 0.601144 | − | 0.799141i | ||||
\(65\) | − | 1.08803i | − | 0.134953i | ||||||
\(66\) | −6.61007 | + | 9.24340i | −0.813643 | + | 1.13778i | ||||
\(67\) | −0.559933 | − | 0.231932i | −0.0684068 | − | 0.0283350i | 0.348218 | − | 0.937414i | \(-0.386787\pi\) |
−0.416624 | + | 0.909079i | \(0.636787\pi\) | |||||||
\(68\) | −1.15525 | − | 3.62366i | −0.140095 | − | 0.439433i | ||||
\(69\) | 12.6168 | + | 5.07457i | 1.51888 | + | 0.610906i | ||||
\(70\) | −2.32146 | − | 4.20489i | −0.277468 | − | 0.502581i | ||||
\(71\) | −2.74586 | − | 2.74586i | −0.325874 | − | 0.325874i | 0.525141 | − | 0.851015i | \(-0.324012\pi\) |
−0.851015 | + | 0.525141i | \(0.824012\pi\) | |||||||
\(72\) | 2.52284 | − | 8.10156i | 0.297320 | − | 0.954778i | ||||
\(73\) | −6.19930 | + | 6.19930i | −0.725573 | + | 0.725573i | −0.969735 | − | 0.244161i | \(-0.921487\pi\) |
0.244161 | + | 0.969735i | \(0.421487\pi\) | |||||||
\(74\) | 7.08419 | + | 11.6325i | 0.823520 | + | 1.35225i | ||||
\(75\) | 5.38667 | + | 2.16656i | 0.621999 | + | 0.250173i | ||||
\(76\) | 15.3086 | + | 1.29016i | 1.75602 | + | 0.147991i | ||||
\(77\) | 4.21032 | + | 11.5295i | 0.479811 | + | 1.31391i | ||||
\(78\) | −0.340192 | − | 2.04806i | −0.0385191 | − | 0.231897i | ||||
\(79\) | − | 7.15778i | − | 0.805313i | −0.915351 | − | 0.402657i | \(-0.868087\pi\) | ||
0.915351 | − | 0.402657i | \(-0.131913\pi\) | |||||||
\(80\) | −4.34814 | − | 2.73125i | −0.486137 | − | 0.305363i | ||||
\(81\) | −0.370373 | − | 8.99238i | −0.0411526 | − | 0.999153i | ||||
\(82\) | 3.34398 | + | 2.44372i | 0.369280 | + | 0.269863i | ||||
\(83\) | −4.51977 | + | 10.9117i | −0.496110 | + | 1.19771i | 0.455453 | + | 0.890260i | \(0.349477\pi\) |
−0.951563 | + | 0.307455i | \(0.900523\pi\) | |||||||
\(84\) | −5.68457 | − | 7.18928i | −0.620237 | − | 0.784414i | ||||
\(85\) | −2.25535 | + | 0.934198i | −0.244627 | + | 0.101328i | ||||
\(86\) | 1.76162 | − | 1.07282i | 0.189960 | − | 0.115686i | ||||
\(87\) | 5.97680 | − | 0.0615097i | 0.640780 | − | 0.00659453i | ||||
\(88\) | 9.90666 | + | 8.60443i | 1.05605 | + | 0.917235i | ||||
\(89\) | 8.06313 | − | 8.06313i | 0.854690 | − | 0.854690i | −0.136016 | − | 0.990707i | \(-0.543430\pi\) |
0.990707 | + | 0.136016i | \(0.0434300\pi\) | |||||||
\(90\) | −5.31759 | − | 1.17687i | −0.560523 | − | 0.124053i | ||||
\(91\) | −2.03337 | − | 0.945538i | −0.213155 | − | 0.0991193i | ||||
\(92\) | 7.20632 | − | 13.9516i | 0.751310 | − | 1.45456i | ||||
\(93\) | −5.24575 | + | 2.23638i | −0.543959 | + | 0.231902i | ||||
\(94\) | −0.673856 | − | 4.33216i | −0.0695030 | − | 0.446829i | ||||
\(95\) | − | 9.86067i | − | 1.01168i | ||||||
\(96\) | −9.03875 | − | 3.78166i | −0.922514 | − | 0.385964i | ||||
\(97\) | − | 7.95920i | − | 0.808134i | −0.914729 | − | 0.404067i | \(-0.867596\pi\) | ||
0.914729 | − | 0.404067i | \(-0.132404\pi\) | |||||||
\(98\) | −9.87582 | + | 0.684275i | −0.997608 | + | 0.0691222i | ||||
\(99\) | 12.9651 | + | 5.06029i | 1.30304 | + | 0.508578i | ||||
\(100\) | 3.07670 | − | 5.95658i | 0.307670 | − | 0.595658i | ||||
\(101\) | −1.75253 | − | 4.23099i | −0.174383 | − | 0.420999i | 0.812388 | − | 0.583117i | \(-0.198167\pi\) |
−0.986771 | + | 0.162119i | \(0.948167\pi\) | |||||||
\(102\) | −3.95330 | + | 2.46368i | −0.391435 | + | 0.243940i | ||||
\(103\) | −7.27569 | − | 7.27569i | −0.716895 | − | 0.716895i | 0.251073 | − | 0.967968i | \(-0.419217\pi\) |
−0.967968 | + | 0.251073i | \(0.919217\pi\) | |||||||
\(104\) | −2.39138 | + | 0.168231i | −0.234495 | + | 0.0164964i | ||||
\(105\) | −4.29172 | + | 4.02326i | −0.418829 | + | 0.392630i | ||||
\(106\) | 5.27774 | + | 8.66627i | 0.512620 | + | 0.841742i | ||||
\(107\) | 5.28270 | + | 12.7536i | 0.510697 | + | 1.23293i | 0.943479 | + | 0.331434i | \(0.107532\pi\) |
−0.432781 | + | 0.901499i | \(0.642468\pi\) | |||||||
\(108\) | −10.3776 | − | 0.552657i | −0.998585 | − | 0.0531795i | ||||
\(109\) | −1.81003 | + | 4.36979i | −0.173369 | + | 0.418550i | −0.986550 | − | 0.163461i | \(-0.947734\pi\) |
0.813181 | + | 0.582012i | \(0.197734\pi\) | |||||||
\(110\) | 4.96925 | − | 6.79991i | 0.473799 | − | 0.648346i | ||||
\(111\) | 11.6732 | − | 11.9159i | 1.10797 | − | 1.13101i | ||||
\(112\) | −8.88304 | + | 5.75253i | −0.839368 | + | 0.543563i | ||||
\(113\) | −12.5662 | −1.18213 | −0.591063 | − | 0.806625i | \(-0.701292\pi\) | ||||
−0.591063 | + | 0.806625i | \(0.701292\pi\) | |||||||
\(114\) | −3.08312 | − | 18.5613i | −0.288761 | − | 1.73843i | ||||
\(115\) | −9.31164 | − | 3.85701i | −0.868315 | − | 0.359668i | ||||
\(116\) | 0.579602 | − | 6.87740i | 0.0538147 | − | 0.638550i | ||||
\(117\) | −2.32864 | + | 1.02120i | −0.215283 | + | 0.0944096i | ||||
\(118\) | −6.08152 | − | 9.98610i | −0.559849 | − | 0.919295i | ||||
\(119\) | −0.214104 | + | 5.02681i | −0.0196268 | + | 0.460807i | ||||
\(120\) | −1.93148 | + | 5.98485i | −0.176319 | + | 0.546340i | ||||
\(121\) | −7.44036 | + | 7.44036i | −0.676396 | + | 0.676396i | ||||
\(122\) | −5.15278 | + | 21.2040i | −0.466510 | + | 1.91972i | ||||
\(123\) | 1.89286 | − | 4.70617i | 0.170673 | − | 0.424341i | ||||
\(124\) | 2.00009 | + | 6.27365i | 0.179613 | + | 0.563390i | ||||
\(125\) | −9.90546 | − | 4.10298i | −0.885972 | − | 0.366981i | ||||
\(126\) | −6.82062 | + | 8.91511i | −0.607629 | + | 0.794221i | ||||
\(127\) | −5.03806 | −0.447056 | −0.223528 | − | 0.974698i | \(-0.571757\pi\) | ||||
−0.223528 | + | 0.974698i | \(0.571757\pi\) | |||||||
\(128\) | −5.33073 | + | 9.97915i | −0.471174 | + | 0.882040i | ||||
\(129\) | −1.80454 | − | 1.76777i | −0.158881 | − | 0.155644i | ||||
\(130\) | 0.236497 | + | 1.52042i | 0.0207421 | + | 0.133349i | ||||
\(131\) | 17.1820 | + | 7.11704i | 1.50120 | + | 0.621818i | 0.973720 | − | 0.227748i | \(-0.0731361\pi\) |
0.527482 | + | 0.849566i | \(0.323136\pi\) | |||||||
\(132\) | 7.22780 | − | 14.3536i | 0.629099 | − | 1.24932i | ||||
\(133\) | −18.4283 | − | 8.56932i | −1.59793 | − | 0.743054i | ||||
\(134\) | 0.832870 | + | 0.202395i | 0.0719490 | + | 0.0174843i | ||||
\(135\) | 0.205900 | + | 6.66711i | 0.0177211 | + | 0.573813i | ||||
\(136\) | 2.40201 | + | 4.81262i | 0.205971 | + | 0.412679i | ||||
\(137\) | −0.943247 | + | 0.943247i | −0.0805870 | + | 0.0805870i | −0.746251 | − | 0.665664i | \(-0.768148\pi\) |
0.665664 | + | 0.746251i | \(0.268148\pi\) | |||||||
\(138\) | −18.7338 | − | 4.34882i | −1.59473 | − | 0.370196i | ||||
\(139\) | 2.05898 | + | 4.97081i | 0.174640 | + | 0.421619i | 0.986827 | − | 0.161779i | \(-0.0517231\pi\) |
−0.812187 | + | 0.583397i | \(0.801723\pi\) | |||||||
\(140\) | 4.15802 | + | 5.37136i | 0.351417 | + | 0.453962i | ||||
\(141\) | −4.93945 | + | 2.10580i | −0.415977 | + | 0.177340i | ||||
\(142\) | 4.43394 | + | 3.24024i | 0.372088 | + | 0.271915i | ||||
\(143\) | − | 3.93206i | − | 0.328816i | ||||||
\(144\) | −1.76446 | + | 11.8696i | −0.147038 | + | 0.989131i | ||||
\(145\) | −4.42990 | −0.367883 | ||||||||
\(146\) | 7.31546 | − | 10.0105i | 0.605432 | − | 0.828472i | ||||
\(147\) | 3.78924 | + | 11.5170i | 0.312531 | + | 0.949907i | ||||
\(148\) | −12.4280 | − | 14.7156i | −1.02157 | − | 1.20961i | ||||
\(149\) | 4.62948 | + | 11.1765i | 0.379262 | + | 0.915618i | 0.992105 | + | 0.125414i | \(0.0400258\pi\) |
−0.612843 | + | 0.790205i | \(0.709974\pi\) | |||||||
\(150\) | −7.99831 | − | 1.85671i | −0.653059 | − | 0.151599i | ||||
\(151\) | −3.50043 | − | 3.50043i | −0.284861 | − | 0.284861i | 0.550183 | − | 0.835044i | \(-0.314558\pi\) |
−0.835044 | + | 0.550183i | \(0.814558\pi\) | |||||||
\(152\) | −21.6729 | + | 1.52466i | −1.75790 | + | 0.123666i | ||||
\(153\) | 4.11623 | + | 3.95019i | 0.332778 | + | 0.319354i | ||||
\(154\) | −8.38963 | − | 15.1962i | −0.676055 | − | 1.22455i | ||||
\(155\) | 3.90470 | − | 1.61738i | 0.313633 | − | 0.129911i | ||||
\(156\) | 0.920559 | + | 2.78803i | 0.0737037 | + | 0.223221i | ||||
\(157\) | −0.602088 | + | 1.45357i | −0.0480519 | + | 0.116008i | −0.946083 | − | 0.323925i | \(-0.894998\pi\) |
0.898031 | + | 0.439932i | \(0.144998\pi\) | |||||||
\(158\) | 1.55584 | + | 10.0024i | 0.123776 | + | 0.795744i | ||||
\(159\) | 8.69654 | − | 8.87740i | 0.689681 | − | 0.704024i | ||||
\(160\) | 6.66981 | + | 2.87154i | 0.527295 | + | 0.227015i | ||||
\(161\) | −15.3004 | + | 14.0503i | −1.20584 | + | 1.10732i | ||||
\(162\) | 2.47217 | + | 12.4855i | 0.194232 | + | 0.980956i | ||||
\(163\) | 17.1307 | + | 7.09575i | 1.34178 | + | 0.555782i | 0.933991 | − | 0.357295i | \(-0.116301\pi\) |
0.407786 | + | 0.913078i | \(0.366301\pi\) | |||||||
\(164\) | −5.20408 | − | 2.68802i | −0.406370 | − | 0.209899i | ||||
\(165\) | −9.56989 | − | 3.84908i | −0.745015 | − | 0.299651i | ||||
\(166\) | 3.94417 | − | 16.2305i | 0.306127 | − | 1.25973i | ||||
\(167\) | 3.54510 | − | 3.54510i | 0.274328 | − | 0.274328i | −0.556512 | − | 0.830840i | \(-0.687861\pi\) |
0.830840 | + | 0.556512i | \(0.187861\pi\) | |||||||
\(168\) | 9.50635 | + | 8.81075i | 0.733431 | + | 0.679764i | ||||
\(169\) | −8.68442 | − | 8.68442i | −0.668032 | − | 0.668032i | ||||
\(170\) | 2.94859 | − | 1.79569i | 0.226147 | − | 0.137723i | ||||
\(171\) | −21.1042 | + | 9.25500i | −1.61388 | + | 0.707748i | ||||
\(172\) | −2.22851 | + | 1.88208i | −0.169922 | + | 0.143508i | ||||
\(173\) | −2.94986 | + | 7.12159i | −0.224273 | + | 0.541444i | −0.995462 | − | 0.0951631i | \(-0.969663\pi\) |
0.771188 | + | 0.636607i | \(0.219663\pi\) | |||||||
\(174\) | −8.33866 | + | 1.38509i | −0.632152 | + | 0.105003i | ||||
\(175\) | −6.53243 | + | 5.99870i | −0.493805 | + | 0.453459i | ||||
\(176\) | −15.7139 | − | 9.87056i | −1.18448 | − | 0.744022i | ||||
\(177\) | −10.0210 | + | 10.2294i | −0.753223 | + | 0.768888i | ||||
\(178\) | −9.51487 | + | 13.0201i | −0.713169 | + | 0.975900i | ||||
\(179\) | −1.69333 | − | 0.701401i | −0.126566 | − | 0.0524252i | 0.318502 | − | 0.947922i | \(-0.396820\pi\) |
−0.445067 | + | 0.895497i | \(0.646820\pi\) | |||||||
\(180\) | 7.68666 | + | 0.488726i | 0.572930 | + | 0.0364275i | ||||
\(181\) | 8.08486 | + | 19.5186i | 0.600943 | + | 1.45080i | 0.872612 | + | 0.488414i | \(0.162424\pi\) |
−0.271669 | + | 0.962391i | \(0.587576\pi\) | |||||||
\(182\) | 3.04698 | + | 0.879323i | 0.225857 | + | 0.0651798i | ||||
\(183\) | 26.7239 | − | 0.275027i | 1.97549 | − | 0.0203306i | ||||
\(184\) | −7.03760 | + | 21.0626i | −0.518819 | + | 1.55275i | ||||
\(185\) | −8.74191 | + | 8.74191i | −0.642718 | + | 0.642718i | ||||
\(186\) | 6.84435 | − | 4.26537i | 0.501852 | − | 0.312752i | ||||
\(187\) | −8.15072 | + | 3.37614i | −0.596040 | + | 0.246888i | ||||
\(188\) | 1.88331 | + | 5.90733i | 0.137354 | + | 0.430837i | ||||
\(189\) | 12.6389 | + | 5.40919i | 0.919342 | + | 0.393460i | ||||
\(190\) | 2.14335 | + | 13.7794i | 0.155495 | + | 0.999662i | ||||
\(191\) | − | 5.77863i | − | 0.418127i | −0.977902 | − | 0.209063i | \(-0.932958\pi\) | ||
0.977902 | − | 0.209063i | \(-0.0670415\pi\) | |||||||
\(192\) | 13.4528 | + | 3.31984i | 0.970875 | + | 0.239589i | ||||
\(193\) | −1.27730 | −0.0919422 | −0.0459711 | − | 0.998943i | \(-0.514638\pi\) | ||||
−0.0459711 | + | 0.998943i | \(0.514638\pi\) | |||||||
\(194\) | 1.73004 | + | 11.1223i | 0.124209 | + | 0.798532i | ||||
\(195\) | 1.73355 | − | 0.739052i | 0.124142 | − | 0.0529246i | ||||
\(196\) | 13.6518 | − | 3.10285i | 0.975130 | − | 0.221632i | ||||
\(197\) | 13.0945 | − | 5.42391i | 0.932942 | − | 0.386437i | 0.136148 | − | 0.990688i | \(-0.456528\pi\) |
0.796794 | + | 0.604251i | \(0.206528\pi\) | |||||||
\(198\) | −19.2175 | − | 4.25316i | −1.36573 | − | 0.302259i | ||||
\(199\) | −16.8514 | − | 16.8514i | −1.19456 | − | 1.19456i | −0.975772 | − | 0.218792i | \(-0.929788\pi\) |
−0.218792 | − | 0.975772i | \(-0.570212\pi\) | |||||||
\(200\) | −3.00466 | + | 8.99254i | −0.212462 | + | 0.635868i | ||||
\(201\) | −0.0108027 | − | 1.04968i | −0.000761966 | − | 0.0740390i | ||||
\(202\) | 3.36866 | + | 5.53148i | 0.237018 | + | 0.389194i | ||||
\(203\) | −3.84976 | + | 8.27888i | −0.270200 | + | 0.581063i | ||||
\(204\) | 4.98886 | − | 4.30207i | 0.349290 | − | 0.301205i | ||||
\(205\) | −1.43870 | + | 3.47332i | −0.100483 | + | 0.242587i | ||||
\(206\) | 11.7486 | + | 8.58565i | 0.818563 | + | 0.598191i | ||||
\(207\) | 0.484762 | + | 23.5493i | 0.0336933 | + | 1.63679i | ||||
\(208\) | 3.30518 | − | 0.754886i | 0.229173 | − | 0.0523420i | ||||
\(209\) | − | 35.6359i | − | 2.46499i | ||||||
\(210\) | 5.12278 | − | 6.55500i | 0.353506 | − | 0.452338i | ||||
\(211\) | 3.67199 | − | 8.86497i | 0.252790 | − | 0.610290i | −0.745637 | − | 0.666352i | \(-0.767855\pi\) |
0.998427 | + | 0.0560627i | \(0.0178547\pi\) | |||||||
\(212\) | −9.25890 | − | 10.9631i | −0.635904 | − | 0.752951i | ||||
\(213\) | 2.50983 | − | 6.24013i | 0.171971 | − | 0.427567i | ||||
\(214\) | −10.1542 | − | 16.6737i | −0.694130 | − | 1.13979i | ||||
\(215\) | 1.32387 | + | 1.32387i | 0.0902870 | + | 0.0902870i | ||||
\(216\) | 14.6219 | − | 1.48342i | 0.994893 | − | 0.100934i | ||||
\(217\) | 0.370678 | − | 8.70292i | 0.0251633 | − | 0.590793i | ||||
\(218\) | 1.57952 | − | 6.49982i | 0.106978 | − | 0.440224i | ||||
\(219\) | −14.0883 | − | 5.66641i | −0.951998 | − | 0.382901i | ||||
\(220\) | −5.46602 | + | 10.5824i | −0.368519 | + | 0.713464i | ||||
\(221\) | 0.616812 | − | 1.48912i | 0.0414913 | − | 0.100169i | ||||
\(222\) | −13.7221 | + | 19.1887i | −0.920967 | + | 1.28786i | ||||
\(223\) | 12.6315i | 0.845868i | 0.906160 | + | 0.422934i | \(0.139000\pi\) | ||||
−0.906160 | + | 0.422934i | \(0.861000\pi\) | |||||||
\(224\) | 11.1629 | − | 9.96949i | 0.745850 | − | 0.666114i | ||||
\(225\) | 0.206967 | + | 10.0542i | 0.0137978 | + | 0.670282i | ||||
\(226\) | 17.5601 | − | 2.73142i | 1.16808 | − | 0.181692i | ||||
\(227\) | −22.2132 | − | 9.20100i | −1.47434 | − | 0.610692i | −0.506496 | − | 0.862242i | \(-0.669060\pi\) |
−0.967844 | + | 0.251550i | \(0.919060\pi\) | |||||||
\(228\) | 8.34294 | + | 25.2676i | 0.552525 | + | 1.67339i | ||||
\(229\) | 4.16120 | − | 1.72363i | 0.274980 | − | 0.113900i | −0.240932 | − | 0.970542i | \(-0.577453\pi\) |
0.515912 | + | 0.856642i | \(0.327453\pi\) | |||||||
\(230\) | 13.8506 | + | 3.36581i | 0.913278 | + | 0.221935i | ||||
\(231\) | −15.5100 | + | 14.5398i | −1.02049 | + | 0.956650i | ||||
\(232\) | 0.684952 | + | 9.73652i | 0.0449693 | + | 0.639234i | ||||
\(233\) | 13.3240 | − | 13.3240i | 0.872885 | − | 0.872885i | −0.119901 | − | 0.992786i | \(-0.538258\pi\) |
0.992786 | + | 0.119901i | \(0.0382576\pi\) | |||||||
\(234\) | 3.03209 | − | 1.93319i | 0.198214 | − | 0.126377i | ||||
\(235\) | 3.67671 | − | 1.52294i | 0.239842 | − | 0.0993458i | ||||
\(236\) | 10.6690 | + | 12.6328i | 0.694492 | + | 0.822323i | ||||
\(237\) | 11.4045 | − | 4.86199i | 0.740802 | − | 0.315820i | ||||
\(238\) | −0.793452 | − | 7.07104i | −0.0514319 | − | 0.458348i | ||||
\(239\) | −23.8830 | −1.54486 | −0.772430 | − | 0.635099i | \(-0.780959\pi\) | ||||
−0.772430 | + | 0.635099i | \(0.780959\pi\) | |||||||
\(240\) | 1.39818 | − | 8.78312i | 0.0902519 | − | 0.566948i | ||||
\(241\) | −7.77549 | −0.500863 | −0.250432 | − | 0.968134i | \(-0.580573\pi\) | ||||
−0.250432 | + | 0.968134i | \(0.580573\pi\) | |||||||
\(242\) | 8.77996 | − | 12.0145i | 0.564397 | − | 0.772320i | ||||
\(243\) | 14.0760 | − | 6.69827i | 0.902974 | − | 0.429694i | ||||
\(244\) | 2.59156 | − | 30.7507i | 0.165908 | − | 1.96861i | ||||
\(245\) | −2.72038 | − | 8.56420i | −0.173799 | − | 0.547147i | ||||
\(246\) | −1.62215 | + | 6.98788i | −0.103424 | + | 0.445531i | ||||
\(247\) | 4.60368 | + | 4.60368i | 0.292925 | + | 0.292925i | ||||
\(248\) | −4.15860 | − | 8.33211i | −0.264072 | − | 0.529089i | ||||
\(249\) | −20.4557 | + | 0.210518i | −1.29633 | + | 0.0133411i | ||||
\(250\) | 14.7338 | + | 3.58046i | 0.931849 | + | 0.226448i | ||||
\(251\) | −6.98708 | − | 16.8683i | −0.441020 | − | 1.06472i | −0.975591 | − | 0.219594i | \(-0.929527\pi\) |
0.534571 | − | 0.845124i | \(-0.320473\pi\) | |||||||
\(252\) | 7.59338 | − | 13.9406i | 0.478338 | − | 0.878176i | ||||
\(253\) | −33.6517 | − | 13.9390i | −2.11567 | − | 0.876338i | ||||
\(254\) | 7.04023 | − | 1.09509i | 0.441743 | − | 0.0687120i | ||||
\(255\) | −3.02043 | − | 2.95889i | −0.189147 | − | 0.185293i | ||||
\(256\) | 5.28011 | − | 15.1037i | 0.330007 | − | 0.943979i | ||||
\(257\) | −19.2639 | −1.20165 | −0.600824 | − | 0.799381i | \(-0.705161\pi\) | ||||
−0.600824 | + | 0.799381i | \(0.705161\pi\) | |||||||
\(258\) | 2.90593 | + | 2.07806i | 0.180915 | + | 0.129375i | ||||
\(259\) | 8.74037 | + | 23.9345i | 0.543100 | + | 1.48722i | ||||
\(260\) | −0.660966 | − | 2.07324i | −0.0409913 | − | 0.128577i | ||||
\(261\) | 4.15780 | + | 9.48105i | 0.257361 | + | 0.586862i | ||||
\(262\) | −25.5573 | − | 6.21067i | −1.57894 | − | 0.383696i | ||||
\(263\) | 4.93554 | + | 4.93554i | 0.304339 | + | 0.304339i | 0.842709 | − | 0.538370i | \(-0.180960\pi\) |
−0.538370 | + | 0.842709i | \(0.680960\pi\) | |||||||
\(264\) | −6.98025 | + | 21.6289i | −0.429604 | + | 1.33117i | ||||
\(265\) | −6.51275 | + | 6.51275i | −0.400075 | + | 0.400075i | ||||
\(266\) | 27.6145 | + | 7.96922i | 1.69315 | + | 0.488624i | ||||
\(267\) | 18.3239 | + | 7.37003i | 1.12141 | + | 0.451039i | ||||
\(268\) | −1.20785 | − | 0.101794i | −0.0737814 | − | 0.00621803i | ||||
\(269\) | −2.33774 | + | 5.64380i | −0.142534 | + | 0.344108i | −0.978985 | − | 0.203935i | \(-0.934627\pi\) |
0.836450 | + | 0.548043i | \(0.184627\pi\) | |||||||
\(270\) | −1.73691 | − | 9.27192i | −0.105705 | − | 0.564271i | ||||
\(271\) | 6.46559 | 0.392757 | 0.196378 | − | 0.980528i | \(-0.437082\pi\) | ||||
0.196378 | + | 0.980528i | \(0.437082\pi\) | |||||||
\(272\) | −4.40268 | − | 6.20310i | −0.266952 | − | 0.376118i | ||||
\(273\) | 0.125339 | − | 3.88204i | 0.00758584 | − | 0.234952i | ||||
\(274\) | 1.11307 | − | 1.52313i | 0.0672433 | − | 0.0920156i | ||||
\(275\) | −14.3674 | − | 5.95118i | −0.866388 | − | 0.358870i | ||||
\(276\) | 27.1241 | + | 2.00504i | 1.63268 | + | 0.120689i | ||||
\(277\) | 30.1826 | − | 12.5021i | 1.81350 | − | 0.751176i | 0.833399 | − | 0.552672i | \(-0.186392\pi\) |
0.980100 | − | 0.198504i | \(-0.0636083\pi\) | |||||||
\(278\) | −3.95770 | − | 6.49871i | −0.237367 | − | 0.389767i | ||||
\(279\) | −7.12645 | − | 6.83897i | −0.426649 | − | 0.409438i | ||||
\(280\) | −6.97799 | − | 6.60218i | −0.417015 | − | 0.394556i | ||||
\(281\) | −2.86206 | − | 2.86206i | −0.170736 | − | 0.170736i | 0.616567 | − | 0.787303i | \(-0.288523\pi\) |
−0.787303 | + | 0.616567i | \(0.788523\pi\) | |||||||
\(282\) | 6.44471 | − | 4.01632i | 0.383777 | − | 0.239168i | ||||
\(283\) | 11.3994 | − | 4.72179i | 0.677625 | − | 0.280681i | −0.0172088 | − | 0.999852i | \(-0.505478\pi\) |
0.694834 | + | 0.719171i | \(0.255478\pi\) | |||||||
\(284\) | −6.90034 | − | 3.56417i | −0.409460 | − | 0.211495i | ||||
\(285\) | 15.7110 | − | 6.69795i | 0.930640 | − | 0.396753i | ||||
\(286\) | 0.854686 | + | 5.49470i | 0.0505386 | + | 0.324908i | ||||
\(287\) | 5.24088 | + | 5.70718i | 0.309359 | + | 0.336884i | ||||
\(288\) | −0.114336 | − | 16.9702i | −0.00673732 | − | 0.999977i | ||||
\(289\) | 13.3836 | 0.787272 | ||||||||
\(290\) | 6.19038 | − | 0.962896i | 0.363512 | − | 0.0565432i | ||||
\(291\) | 12.6814 | − | 5.40636i | 0.743397 | − | 0.316927i | ||||
\(292\) | −8.04679 | + | 15.5788i | −0.470903 | + | 0.911682i | ||||
\(293\) | 1.18499 | + | 2.86082i | 0.0692279 | + | 0.167131i | 0.954706 | − | 0.297549i | \(-0.0961693\pi\) |
−0.885479 | + | 0.464680i | \(0.846169\pi\) | |||||||
\(294\) | −7.79850 | − | 15.2703i | −0.454818 | − | 0.890585i | ||||
\(295\) | 7.50461 | − | 7.50461i | 0.436935 | − | 0.436935i | ||||
\(296\) | 20.5656 | + | 17.8623i | 1.19535 | + | 1.03822i | ||||
\(297\) | 0.744111 | + | 24.0945i | 0.0431777 | + | 1.39811i | ||||
\(298\) | −8.89865 | − | 14.6119i | −0.515485 | − | 0.846447i | ||||
\(299\) | 6.14809 | − | 2.54662i | 0.355553 | − | 0.147275i | ||||
\(300\) | 11.5805 | + | 0.856040i | 0.668600 | + | 0.0494235i | ||||
\(301\) | 3.62462 | − | 1.32363i | 0.208920 | − | 0.0762930i | ||||
\(302\) | 5.65240 | + | 4.13067i | 0.325259 | + | 0.237693i | ||||
\(303\) | 5.55081 | − | 5.66625i | 0.318886 | − | 0.325517i | ||||
\(304\) | 29.9545 | − | 6.84146i | 1.71801 | − | 0.392385i | ||||
\(305\) | −19.8073 | −1.13416 | ||||||||
\(306\) | −6.61069 | − | 4.62531i | −0.377908 | − | 0.264411i | ||||
\(307\) | 22.8449 | + | 9.46268i | 1.30383 | + | 0.540064i | 0.923078 | − | 0.384614i | \(-0.125665\pi\) |
0.380752 | + | 0.924677i | \(0.375665\pi\) | |||||||
\(308\) | 15.0268 | + | 19.4118i | 0.856234 | + | 1.10609i | ||||
\(309\) | 6.65028 | − | 16.5344i | 0.378321 | − | 0.940612i | ||||
\(310\) | −5.10491 | + | 3.10888i | −0.289939 | + | 0.176572i | ||||
\(311\) | 15.4859 | + | 15.4859i | 0.878123 | + | 0.878123i | 0.993340 | − | 0.115218i | \(-0.0367566\pi\) |
−0.115218 | + | 0.993340i | \(0.536757\pi\) | |||||||
\(312\) | −1.89241 | − | 3.69592i | −0.107137 | − | 0.209240i | ||||
\(313\) | −18.3792 | − | 18.3792i | −1.03885 | − | 1.03885i | −0.999214 | − | 0.0396384i | \(-0.987379\pi\) |
−0.0396384 | − | 0.999214i | \(-0.512621\pi\) | |||||||
\(314\) | 0.525411 | − | 2.16210i | 0.0296507 | − | 0.122015i | ||||
\(315\) | −9.32545 | − | 4.10516i | −0.525429 | − | 0.231300i | ||||
\(316\) | −4.34829 | − | 13.6392i | −0.244610 | − | 0.767265i | ||||
\(317\) | −8.39124 | + | 20.2582i | −0.471299 | + | 1.13782i | 0.492291 | + | 0.870431i | \(0.336160\pi\) |
−0.963590 | + | 0.267385i | \(0.913840\pi\) | |||||||
\(318\) | −10.2230 | + | 14.2957i | −0.573278 | + | 0.801662i | ||||
\(319\) | −16.0094 | −0.896354 | ||||||||
\(320\) | −9.94462 | − | 2.56295i | −0.555921 | − | 0.143273i | ||||
\(321\) | −16.7319 | + | 17.0799i | −0.933885 | + | 0.953307i | ||||
\(322\) | 18.3269 | − | 22.9598i | 1.02132 | − | 1.27950i | ||||
\(323\) | 5.59011 | − | 13.4957i | 0.311042 | − | 0.750921i | ||||
\(324\) | −6.16853 | − | 16.9100i | −0.342696 | − | 0.939446i | ||||
\(325\) | 2.62489 | − | 1.08727i | 0.145603 | − | 0.0603107i | ||||
\(326\) | −25.4809 | − | 6.19210i | −1.41126 | − | 0.342948i | ||||
\(327\) | −8.19187 | + | 0.0843060i | −0.453012 | + | 0.00466213i | ||||
\(328\) | 7.85651 | + | 2.62508i | 0.433803 | + | 0.144946i | ||||
\(329\) | 0.349035 | − | 8.19477i | 0.0192429 | − | 0.451792i | ||||
\(330\) | 14.2097 | + | 3.29860i | 0.782218 | + | 0.181582i | ||||
\(331\) | −3.26758 | + | 1.35348i | −0.179603 | + | 0.0743938i | −0.470673 | − | 0.882308i | \(-0.655989\pi\) |
0.291070 | + | 0.956702i | \(0.405989\pi\) | |||||||
\(332\) | −1.98370 | + | 23.5380i | −0.108870 | + | 1.29182i | ||||
\(333\) | 26.9148 | + | 10.5048i | 1.47492 | + | 0.575662i | ||||
\(334\) | −4.18338 | + | 5.72453i | −0.228905 | + | 0.313232i | ||||
\(335\) | 0.778007i | 0.0425071i | ||||||||
\(336\) | −15.1994 | − | 10.2459i | −0.829195 | − | 0.558959i | ||||
\(337\) | 8.46912i | 0.461342i | 0.973032 | + | 0.230671i | \(0.0740921\pi\) | ||||
−0.973032 | + | 0.230671i | \(0.925908\pi\) | |||||||
\(338\) | 14.0234 | + | 10.2480i | 0.762770 | + | 0.557419i | ||||
\(339\) | −8.53569 | − | 20.0217i | −0.463595 | − | 1.08743i | ||||
\(340\) | −3.73007 | + | 3.15023i | −0.202292 | + | 0.170845i | ||||
\(341\) | 14.1114 | − | 5.84512i | 0.764173 | − | 0.316531i | ||||
\(342\) | 27.4795 | − | 17.5203i | 1.48592 | − | 0.947390i | ||||
\(343\) | −18.3695 | − | 2.35861i | −0.991857 | − | 0.127353i | ||||
\(344\) | 2.70505 | − | 3.11444i | 0.145846 | − | 0.167919i | ||||
\(345\) | −0.179649 | − | 17.4562i | −0.00967195 | − | 0.939808i | ||||
\(346\) | 2.57419 | − | 10.5930i | 0.138389 | − | 0.569481i | ||||
\(347\) | −23.7703 | + | 9.84599i | −1.27606 | + | 0.528561i | −0.914801 | − | 0.403906i | \(-0.867652\pi\) |
−0.361257 | + | 0.932466i | \(0.617652\pi\) | |||||||
\(348\) | 11.3515 | − | 3.74806i | 0.608502 | − | 0.200917i | ||||
\(349\) | −6.85875 | + | 16.5585i | −0.367141 | + | 0.886356i | 0.627076 | + | 0.778958i | \(0.284252\pi\) |
−0.994216 | + | 0.107397i | \(0.965748\pi\) | |||||||
\(350\) | 7.82458 | − | 9.80255i | 0.418242 | − | 0.523968i | ||||
\(351\) | −3.20882 | − | 3.01656i | −0.171274 | − | 0.161012i | ||||
\(352\) | 24.1043 | + | 10.3776i | 1.28476 | + | 0.553127i | ||||
\(353\) | 33.6488 | 1.79095 | 0.895474 | − | 0.445114i | \(-0.146837\pi\) | ||||
0.895474 | + | 0.445114i | \(0.146837\pi\) | |||||||
\(354\) | 11.7799 | − | 16.4728i | 0.626096 | − | 0.875522i | ||||
\(355\) | −1.90764 | + | 4.60544i | −0.101247 | + | 0.244432i | ||||
\(356\) | 10.4661 | − | 20.2626i | 0.554701 | − | 1.07392i | ||||
\(357\) | −8.15464 | + | 3.07337i | −0.431590 | + | 0.162660i | ||||
\(358\) | 2.51874 | + | 0.612076i | 0.133119 | + | 0.0323492i | ||||
\(359\) | 10.1805 | + | 10.1805i | 0.537304 | + | 0.537304i | 0.922736 | − | 0.385432i | \(-0.125948\pi\) |
−0.385432 | + | 0.922736i | \(0.625948\pi\) | |||||||
\(360\) | −10.8476 | + | 0.987847i | −0.571721 | + | 0.0520641i | ||||
\(361\) | 28.2877 | + | 28.2877i | 1.48883 | + | 1.48883i | ||||
\(362\) | −15.5405 | − | 25.5181i | −0.816789 | − | 1.34120i | ||||
\(363\) | −16.9087 | − | 6.80079i | −0.887474 | − | 0.356949i | ||||
\(364\) | −4.44901 | − | 0.566474i | −0.233191 | − | 0.0296913i | ||||
\(365\) | 10.3977 | + | 4.30685i | 0.544238 | + | 0.225431i | ||||
\(366\) | −37.2845 | + | 6.19312i | −1.94889 | + | 0.323720i | ||||
\(367\) | 0.466030 | 0.0243266 | 0.0121633 | − | 0.999926i | \(-0.496128\pi\) | ||||
0.0121633 | + | 0.999926i | \(0.496128\pi\) | |||||||
\(368\) | 5.25618 | − | 30.9627i | 0.273998 | − | 1.61404i | ||||
\(369\) | 8.78408 | − | 0.180820i | 0.457281 | − | 0.00941313i | ||||
\(370\) | 10.3159 | − | 14.1162i | 0.536296 | − | 0.733866i | ||||
\(371\) | 6.51160 | + | 17.8313i | 0.338066 | + | 0.925754i | ||||
\(372\) | −8.63723 | + | 7.44818i | −0.447819 | + | 0.386170i | ||||
\(373\) | −18.3001 | + | 7.58017i | −0.947545 | + | 0.392486i | −0.802308 | − | 0.596911i | \(-0.796395\pi\) |
−0.145238 | + | 0.989397i | \(0.546395\pi\) | |||||||
\(374\) | 10.6560 | − | 6.48951i | 0.551011 | − | 0.335565i | ||||
\(375\) | −0.191105 | − | 18.5694i | −0.00986862 | − | 0.958918i | ||||
\(376\) | −3.91579 | − | 7.84560i | −0.201941 | − | 0.404606i | ||||
\(377\) | 2.06820 | − | 2.06820i | 0.106518 | − | 0.106518i | ||||
\(378\) | −18.8374 | − | 4.81163i | −0.968892 | − | 0.247483i | ||||
\(379\) | −3.99179 | − | 9.63704i | −0.205045 | − | 0.495022i | 0.787585 | − | 0.616206i | \(-0.211331\pi\) |
−0.992630 | + | 0.121184i | \(0.961331\pi\) | |||||||
\(380\) | −5.99027 | − | 18.7896i | −0.307294 | − | 0.963884i | ||||
\(381\) | −3.42215 | − | 8.02714i | −0.175322 | − | 0.411243i | ||||
\(382\) | 1.25606 | + | 8.07511i | 0.0642657 | + | 0.413159i | ||||
\(383\) | 26.2038 | 1.33895 | 0.669475 | − | 0.742835i | \(-0.266519\pi\) | ||||
0.669475 | + | 0.742835i | \(0.266519\pi\) | |||||||
\(384\) | −19.5207 | − | 1.71502i | −0.996163 | − | 0.0875193i | ||||
\(385\) | 11.6054 | − | 10.6572i | 0.591468 | − | 0.543142i | ||||
\(386\) | 1.78491 | − | 0.277639i | 0.0908497 | − | 0.0141314i | ||||
\(387\) | 1.59084 | − | 4.07595i | 0.0808672 | − | 0.207192i | ||||
\(388\) | −4.83514 | − | 15.1663i | −0.245467 | − | 0.769953i | ||||
\(389\) | 19.7437 | − | 8.17811i | 1.00105 | − | 0.414647i | 0.178865 | − | 0.983874i | \(-0.442757\pi\) |
0.822180 | + | 0.569227i | \(0.192757\pi\) | |||||||
\(390\) | −2.26184 | + | 1.40957i | −0.114533 | + | 0.0713763i | ||||
\(391\) | −10.5577 | − | 10.5577i | −0.533927 | − | 0.533927i | ||||
\(392\) | −18.4027 | + | 7.30336i | −0.929479 | + | 0.368875i | ||||
\(393\) | 0.331491 | + | 32.2105i | 0.0167215 | + | 1.62480i | ||||
\(394\) | −17.1194 | + | 10.4257i | −0.862462 | + | 0.525238i | ||||
\(395\) | −8.48900 | + | 3.51626i | −0.427128 | + | 0.176922i | ||||
\(396\) | 27.7792 | + | 1.76623i | 1.39596 | + | 0.0887563i | ||||
\(397\) | −5.98962 | − | 2.48098i | −0.300610 | − | 0.124517i | 0.227280 | − | 0.973829i | \(-0.427017\pi\) |
−0.527890 | + | 0.849313i | \(0.677017\pi\) | |||||||
\(398\) | 27.2112 | + | 19.8854i | 1.36397 | + | 0.996766i | ||||
\(399\) | 1.13593 | − | 35.1825i | 0.0568677 | − | 1.76133i | ||||
\(400\) | 2.24410 | − | 13.2194i | 0.112205 | − | 0.660968i | ||||
\(401\) | 0.816177 | 0.0407579 | 0.0203790 | − | 0.999792i | \(-0.493513\pi\) | ||||
0.0203790 | + | 0.999792i | \(0.493513\pi\) | |||||||
\(402\) | 0.243259 | + | 1.46449i | 0.0121326 | + | 0.0730422i | ||||
\(403\) | −1.06789 | + | 2.57811i | −0.0531953 | + | 0.128425i | ||||
\(404\) | −5.90975 | − | 6.99752i | −0.294021 | − | 0.348140i | ||||
\(405\) | −10.4828 | + | 4.85676i | −0.520897 | + | 0.241334i | ||||
\(406\) | 3.58017 | − | 12.4058i | 0.177681 | − | 0.615688i | ||||
\(407\) | −31.5927 | + | 31.5927i | −1.56599 | + | 1.56599i | ||||
\(408\) | −6.03637 | + | 7.09614i | −0.298845 | + | 0.351311i | ||||
\(409\) | 21.8709 | + | 21.8709i | 1.08145 | + | 1.08145i | 0.996375 | + | 0.0850724i | \(0.0271122\pi\) |
0.0850724 | + | 0.996375i | \(0.472888\pi\) | |||||||
\(410\) | 1.25548 | − | 5.16637i | 0.0620035 | − | 0.255149i | ||||
\(411\) | −2.14358 | − | 0.862166i | −0.105735 | − | 0.0425275i | ||||
\(412\) | −18.2838 | − | 9.44396i | −0.900778 | − | 0.465270i | ||||
\(413\) | −7.50329 | − | 20.5469i | −0.369213 | − | 1.01105i | ||||
\(414\) | −5.79616 | − | 32.8026i | −0.284866 | − | 1.61216i | ||||
\(415\) | 15.1614 | 0.744244 | ||||||||
\(416\) | −4.45460 | + | 1.77331i | −0.218405 | + | 0.0869436i | ||||
\(417\) | −6.52141 | + | 6.65704i | −0.319355 | + | 0.325997i | ||||
\(418\) | 7.74593 | + | 49.7979i | 0.378866 | + | 2.43570i | ||||
\(419\) | 15.9496 | + | 6.60654i | 0.779189 | + | 0.322751i | 0.736588 | − | 0.676342i | \(-0.236436\pi\) |
0.0426007 | + | 0.999092i | \(0.486436\pi\) | |||||||
\(420\) | −5.73381 | + | 10.2735i | −0.279781 | + | 0.501297i | ||||
\(421\) | 1.41426 | + | 3.41432i | 0.0689267 | + | 0.166404i | 0.954589 | − | 0.297927i | \(-0.0962950\pi\) |
−0.885662 | + | 0.464330i | \(0.846295\pi\) | |||||||
\(422\) | −3.20436 | + | 13.1861i | −0.155986 | + | 0.641892i | ||||
\(423\) | −6.71034 | − | 6.43965i | −0.326268 | − | 0.313106i | ||||
\(424\) | 15.3215 | + | 13.3074i | 0.744076 | + | 0.646267i | ||||
\(425\) | −4.50756 | − | 4.50756i | −0.218649 | − | 0.218649i | ||||
\(426\) | −2.15088 | + | 9.26557i | −0.104211 | + | 0.448918i | ||||
\(427\) | −17.2133 | + | 37.0171i | −0.833012 | + | 1.79138i | ||||
\(428\) | 17.8139 | + | 21.0928i | 0.861066 | + | 1.01956i | ||||
\(429\) | 6.26496 | − | 2.67089i | 0.302475 | − | 0.128952i | ||||
\(430\) | −2.13774 | − | 1.56222i | −0.103091 | − | 0.0753371i | ||||
\(431\) | −11.9755 | −0.576841 | −0.288421 | − | 0.957504i | \(-0.593130\pi\) | ||||
−0.288421 | + | 0.957504i | \(0.593130\pi\) | |||||||
\(432\) | −20.1103 | + | 5.25121i | −0.967558 | + | 0.252649i | ||||
\(433\) | −2.07294 | −0.0996192 | −0.0498096 | − | 0.998759i | \(-0.515861\pi\) | ||||
−0.0498096 | + | 0.998759i | \(0.515861\pi\) | |||||||
\(434\) | 1.37371 | + | 12.2421i | 0.0659400 | + | 0.587640i | ||||
\(435\) | −3.00905 | − | 7.05816i | −0.144273 | − | 0.338413i | ||||
\(436\) | −0.794410 | + | 9.42625i | −0.0380453 | + | 0.451435i | ||||
\(437\) | 55.7195 | − | 23.0798i | 2.66543 | − | 1.10406i | ||||
\(438\) | 20.9188 | + | 4.85603i | 0.999537 | + | 0.232030i | ||||
\(439\) | 4.89937 | − | 4.89937i | 0.233834 | − | 0.233834i | −0.580457 | − | 0.814291i | \(-0.697126\pi\) |
0.814291 | + | 0.580457i | \(0.197126\pi\) | |||||||
\(440\) | 5.33805 | − | 15.9760i | 0.254482 | − | 0.761628i | ||||
\(441\) | −15.7762 | + | 13.8604i | −0.751247 | + | 0.660021i | ||||
\(442\) | −0.538260 | + | 2.21498i | −0.0256024 | + | 0.105356i | ||||
\(443\) | −4.47527 | + | 1.85372i | −0.212626 | + | 0.0880728i | −0.486455 | − | 0.873706i | \(-0.661710\pi\) |
0.273828 | + | 0.961779i | \(0.411710\pi\) | |||||||
\(444\) | 15.0045 | − | 29.7972i | 0.712081 | − | 1.41411i | ||||
\(445\) | −13.5237 | − | 5.60171i | −0.641087 | − | 0.265547i | ||||
\(446\) | −2.74562 | − | 17.6514i | −0.130009 | − | 0.835817i | ||||
\(447\) | −14.6630 | + | 14.9679i | −0.693535 | + | 0.707959i | ||||
\(448\) | −13.4321 | + | 16.3578i | −0.634606 | + | 0.772836i | ||||
\(449\) | − | 1.12904i | − | 0.0532829i | −0.999645 | − | 0.0266415i | \(-0.991519\pi\) | ||
0.999645 | − | 0.0266415i | \(-0.00848124\pi\) | |||||||
\(450\) | −2.47464 | − | 14.0049i | −0.116656 | − | 0.660197i | ||||
\(451\) | −5.19937 | + | 12.5524i | −0.244829 | + | 0.591068i | ||||
\(452\) | −23.9449 | + | 7.63384i | −1.12627 | + | 0.359065i | ||||
\(453\) | 3.19954 | − | 7.95494i | 0.150327 | − | 0.373756i | ||||
\(454\) | 33.0409 | + | 8.02924i | 1.55068 | + | 0.376831i | ||||
\(455\) | −0.122497 | + | 2.87604i | −0.00574276 | + | 0.134831i | ||||
\(456\) | −17.1508 | − | 33.4958i | −0.803158 | − | 1.56858i | ||||
\(457\) | 16.3309 | + | 16.3309i | 0.763926 | + | 0.763926i | 0.977030 | − | 0.213104i | \(-0.0683572\pi\) |
−0.213104 | + | 0.977030i | \(0.568357\pi\) | |||||||
\(458\) | −5.44025 | + | 3.31310i | −0.254206 | + | 0.154811i | ||||
\(459\) | −3.49784 | + | 9.24160i | −0.163265 | + | 0.431361i | ||||
\(460\) | −20.0865 | − | 1.69282i | −0.936538 | − | 0.0789280i | ||||
\(461\) | −7.06664 | + | 17.0604i | −0.329126 | + | 0.794581i | 0.669532 | + | 0.742784i | \(0.266495\pi\) |
−0.998658 | + | 0.0517970i | \(0.983505\pi\) | |||||||
\(462\) | 18.5134 | − | 23.6894i | 0.861323 | − | 1.10213i | ||||
\(463\) | − | 26.4029i | − | 1.22705i | −0.789676 | − | 0.613524i | \(-0.789752\pi\) | ||
0.789676 | − | 0.613524i | \(-0.210248\pi\) | |||||||
\(464\) | −3.07352 | − | 13.4570i | −0.142685 | − | 0.624727i | ||||
\(465\) | 5.22928 | + | 5.12274i | 0.242502 | + | 0.237561i | ||||
\(466\) | −15.7230 | + | 21.5153i | −0.728352 | + | 0.996675i | ||||
\(467\) | −0.141822 | + | 0.342388i | −0.00656273 | + | 0.0158438i | −0.927127 | − | 0.374747i | \(-0.877729\pi\) |
0.920564 | + | 0.390591i | \(0.127729\pi\) | |||||||
\(468\) | −3.81687 | + | 3.36052i | −0.176435 | + | 0.155340i | ||||
\(469\) | 1.45399 | + | 0.676120i | 0.0671390 | + | 0.0312203i | ||||
\(470\) | −4.80683 | + | 2.92736i | −0.221723 | + | 0.135029i | ||||
\(471\) | −2.72495 | + | 0.0280436i | −0.125559 | + | 0.00129218i | ||||
\(472\) | −17.6548 | − | 15.3341i | −0.812630 | − | 0.705810i | ||||
\(473\) | 4.78438 | + | 4.78438i | 0.219986 | + | 0.219986i | ||||
\(474\) | −14.8799 | + | 9.27311i | −0.683458 | + | 0.425928i | ||||
\(475\) | 23.7891 | − | 9.85379i | 1.09152 | − | 0.452123i | ||||
\(476\) | 2.64576 | + | 9.70868i | 0.121268 | + | 0.444997i | ||||
\(477\) | 20.0516 | + | 7.82615i | 0.918099 | + | 0.358335i | ||||
\(478\) | 33.3743 | − | 5.19128i | 1.52650 | − | 0.237444i | ||||
\(479\) | 5.11883 | 0.233885 | 0.116943 | − | 0.993139i | \(-0.462691\pi\) | ||||
0.116943 | + | 0.993139i | \(0.462691\pi\) | |||||||
\(480\) | −0.0446967 | + | 12.5775i | −0.00204011 | + | 0.574083i | ||||
\(481\) | − | 8.16272i | − | 0.372188i | ||||||
\(482\) | 10.8655 | − | 1.69011i | 0.494912 | − | 0.0769822i | ||||
\(483\) | −32.7793 | − | 14.8344i | −1.49151 | − | 0.674987i | ||||
\(484\) | −9.65770 | + | 18.6976i | −0.438986 | + | 0.849891i | ||||
\(485\) | −9.43946 | + | 3.90995i | −0.428624 | + | 0.177542i | ||||
\(486\) | −18.2139 | + | 12.4198i | −0.826201 | + | 0.563375i | ||||
\(487\) | −5.87578 | + | 5.87578i | −0.266257 | + | 0.266257i | −0.827590 | − | 0.561333i | \(-0.810289\pi\) |
0.561333 | + | 0.827590i | \(0.310289\pi\) | |||||||
\(488\) | 3.06261 | + | 43.5347i | 0.138638 | + | 1.97072i | ||||
\(489\) | 0.330500 | + | 32.1142i | 0.0149457 | + | 1.45225i | ||||
\(490\) | 5.66303 | + | 11.3764i | 0.255830 | + | 0.513933i | ||||
\(491\) | 12.6872 | + | 30.6295i | 0.572564 | + | 1.38229i | 0.899365 | + | 0.437198i | \(0.144029\pi\) |
−0.326801 | + | 0.945093i | \(0.605971\pi\) | |||||||
\(492\) | 0.747896 | − | 10.1175i | 0.0337178 | − | 0.456133i | ||||
\(493\) | −6.06294 | − | 2.51135i | −0.273061 | − | 0.113106i | ||||
\(494\) | −7.43390 | − | 5.43256i | −0.334467 | − | 0.244422i | ||||
\(495\) | −0.367694 | − | 17.8622i | −0.0165266 | − | 0.802848i | ||||
\(496\) | 7.62237 | + | 10.7394i | 0.342254 | + | 0.482215i | ||||
\(497\) | 6.94914 | + | 7.56743i | 0.311711 | + | 0.339446i | ||||
\(498\) | 28.5392 | − | 4.74050i | 1.27887 | − | 0.212427i | ||||
\(499\) | −4.88317 | + | 11.7890i | −0.218601 | + | 0.527749i | −0.994695 | − | 0.102868i | \(-0.967198\pi\) |
0.776094 | + | 0.630617i | \(0.217198\pi\) | |||||||
\(500\) | −21.3674 | − | 1.80077i | −0.955581 | − | 0.0805329i | ||||
\(501\) | 8.05646 | + | 3.24037i | 0.359936 | + | 0.144769i | ||||
\(502\) | 13.4304 | + | 22.0532i | 0.599426 | + | 0.984282i | ||||
\(503\) | 6.94461 | + | 6.94461i | 0.309645 | + | 0.309645i | 0.844772 | − | 0.535127i | \(-0.179736\pi\) |
−0.535127 | + | 0.844772i | \(0.679736\pi\) | |||||||
\(504\) | −7.58089 | + | 21.1313i | −0.337680 | + | 0.941261i | ||||
\(505\) | −4.15694 | + | 4.15694i | −0.184981 | + | 0.184981i | ||||
\(506\) | 50.0551 | + | 12.1639i | 2.22522 | + | 0.540749i | ||||
\(507\) | 7.93791 | − | 19.7359i | 0.352535 | − | 0.876500i | ||||
\(508\) | −9.60006 | + | 3.06058i | −0.425934 | + | 0.135791i | ||||
\(509\) | −13.6808 | − | 5.66678i | −0.606391 | − | 0.251176i | 0.0582934 | − | 0.998299i | \(-0.481434\pi\) |
−0.664685 | + | 0.747124i | \(0.731434\pi\) | |||||||
\(510\) | 4.86393 | + | 3.47826i | 0.215378 | + | 0.154020i | ||||
\(511\) | 17.0849 | − | 15.6890i | 0.755792 | − | 0.694040i | ||||
\(512\) | −4.09550 | + | 22.2537i | −0.180997 | + | 0.983484i | ||||
\(513\) | −29.0812 | − | 27.3388i | −1.28397 | − | 1.20704i | ||||
\(514\) | 26.9195 | − | 4.18726i | 1.18737 | − | 0.184692i | ||||
\(515\) | −5.05465 | + | 12.2030i | −0.222735 | + | 0.537729i | ||||
\(516\) | −4.51246 | − | 2.27226i | −0.198650 | − | 0.100031i | ||||
\(517\) | 13.2874 | − | 5.50383i | 0.584380 | − | 0.242058i | ||||
\(518\) | −17.4164 | − | 31.5465i | −0.765231 | − | 1.38607i | ||||
\(519\) | −13.3505 | + | 0.137396i | −0.586024 | + | 0.00603101i | ||||
\(520\) | 1.37429 | + | 2.75350i | 0.0602664 | + | 0.120749i | ||||
\(521\) | −4.41255 | − | 4.41255i | −0.193317 | − | 0.193317i | 0.603811 | − | 0.797128i | \(-0.293648\pi\) |
−0.797128 | + | 0.603811i | \(0.793648\pi\) | |||||||
\(522\) | −7.87098 | − | 12.3452i | −0.344504 | − | 0.540333i | ||||
\(523\) | −9.66135 | − | 23.3246i | −0.422461 | − | 1.01991i | −0.981619 | − | 0.190851i | \(-0.938875\pi\) |
0.559158 | − | 0.829061i | \(-0.311125\pi\) | |||||||
\(524\) | 37.0640 | + | 3.12362i | 1.61915 | + | 0.136456i | ||||
\(525\) | −13.9949 | − | 6.33345i | −0.610789 | − | 0.276414i | ||||
\(526\) | −7.96978 | − | 5.82417i | −0.347499 | − | 0.253946i | ||||
\(527\) | 6.26104 | 0.272735 | ||||||||
\(528\) | 5.05293 | − | 31.7417i | 0.219901 | − | 1.38138i | ||||
\(529\) | − | 38.6449i | − | 1.68021i | ||||||
\(530\) | 7.68535 | − | 10.5166i | 0.333830 | − | 0.456812i | ||||
\(531\) | −23.1053 | − | 9.01803i | −1.00269 | − | 0.391349i | ||||
\(532\) | −40.3209 | − | 5.13390i | −1.74813 | − | 0.222583i | ||||
\(533\) | −0.949911 | − | 2.29329i | −0.0411452 | − | 0.0993333i | ||||
\(534\) | −27.2080 | − | 6.31600i | −1.17741 | − | 0.273320i | ||||
\(535\) | 12.5304 | − | 12.5304i | 0.541735 | − | 0.541735i | ||||
\(536\) | 1.70999 | − | 0.120296i | 0.0738604 | − | 0.00519598i | ||||
\(537\) | −0.0326693 | − | 3.17442i | −0.00140978 | − | 0.136986i | ||||
\(538\) | 2.04002 | − | 8.39484i | 0.0879516 | − | 0.361927i | ||||
\(539\) | −9.83130 | − | 30.9505i | −0.423464 | − | 1.33313i | ||||
\(540\) | 4.44255 | + | 12.5791i | 0.191177 | + | 0.541320i | ||||
\(541\) | 7.42860 | + | 3.07703i | 0.319381 | + | 0.132292i | 0.536614 | − | 0.843828i | \(-0.319703\pi\) |
−0.217233 | + | 0.976120i | \(0.569703\pi\) | |||||||
\(542\) | −9.03508 | + | 1.40538i | −0.388090 | + | 0.0603663i | ||||
\(543\) | −25.6072 | + | 26.1398i | −1.09891 | + | 1.12177i | ||||
\(544\) | 7.50067 | + | 7.71129i | 0.321589 | + | 0.330619i | ||||
\(545\) | 6.07167 | 0.260082 | ||||||||
\(546\) | 0.668663 | + | 5.45204i | 0.0286161 | + | 0.233326i | ||||
\(547\) | 2.47351 | + | 1.02456i | 0.105760 | + | 0.0438071i | 0.434936 | − | 0.900461i | \(-0.356771\pi\) |
−0.329176 | + | 0.944268i | \(0.606771\pi\) | |||||||
\(548\) | −1.22435 | + | 2.37038i | −0.0523016 | + | 0.101257i | ||||
\(549\) | 18.5907 | + | 42.3924i | 0.793431 | + | 1.80926i | ||||
\(550\) | 21.3707 | + | 5.19329i | 0.911252 | + | 0.221443i | ||||
\(551\) | 18.7439 | − | 18.7439i | 0.798516 | − | 0.798516i | ||||
\(552\) | −38.3393 | + | 3.09393i | −1.63183 | + | 0.131686i | ||||
\(553\) | −0.805871 | + | 18.9206i | −0.0342691 | + | 0.804584i | ||||
\(554\) | −39.4600 | + | 24.0311i | −1.67650 | + | 1.02098i | ||||
\(555\) | −19.8665 | − | 7.99046i | −0.843286 | − | 0.339176i | ||||
\(556\) | 6.94311 | + | 8.22110i | 0.294454 | + | 0.348652i | ||||
\(557\) | −6.26019 | − | 2.59306i | −0.265253 | − | 0.109871i | 0.246093 | − | 0.969246i | \(-0.420853\pi\) |
−0.511346 | + | 0.859375i | \(0.670853\pi\) | |||||||
\(558\) | 11.4451 | + | 8.00781i | 0.484510 | + | 0.338998i | ||||
\(559\) | −1.23616 | −0.0522838 | ||||||||
\(560\) | 11.1862 | + | 7.70919i | 0.472703 | + | 0.325773i | ||||
\(561\) | −10.9157 | − | 10.6933i | −0.460859 | − | 0.451470i | ||||
\(562\) | 4.62157 | + | 3.37736i | 0.194949 | + | 0.142465i | ||||
\(563\) | −3.37074 | + | 8.13769i | −0.142060 | + | 0.342963i | −0.978856 | − | 0.204552i | \(-0.934426\pi\) |
0.836796 | + | 0.547515i | \(0.184426\pi\) | |||||||
\(564\) | −8.13291 | + | 7.01329i | −0.342457 | + | 0.295313i | ||||
\(565\) | 6.17313 | + | 14.9033i | 0.259706 | + | 0.626985i | ||||
\(566\) | −14.9033 | + | 9.07609i | −0.626433 | + | 0.381496i | ||||
\(567\) | −0.0333947 | + | 23.8117i | −0.00140244 | + | 0.999999i | ||||
\(568\) | 10.4173 | + | 3.48072i | 0.437101 | + | 0.146048i | ||||
\(569\) | 0.670180 | + | 0.670180i | 0.0280954 | + | 0.0280954i | 0.721015 | − | 0.692920i | \(-0.243676\pi\) |
−0.692920 | + | 0.721015i | \(0.743676\pi\) | |||||||
\(570\) | −20.4988 | + | 12.7748i | −0.858601 | + | 0.535077i | ||||
\(571\) | 16.2279 | + | 39.1777i | 0.679118 | + | 1.63953i | 0.765628 | + | 0.643284i | \(0.222429\pi\) |
−0.0865100 | + | 0.996251i | \(0.527571\pi\) | |||||||
\(572\) | −2.38869 | − | 7.49257i | −0.0998762 | − | 0.313280i | ||||
\(573\) | 9.20709 | − | 3.92519i | 0.384632 | − | 0.163977i | ||||
\(574\) | −8.56419 | − | 6.83610i | −0.357462 | − | 0.285333i | ||||
\(575\) | − | 26.3189i | − | 1.09758i | ||||||
\(576\) | 3.84847 | + | 23.6894i | 0.160353 | + | 0.987060i | ||||
\(577\) | − | 10.2989i | − | 0.428750i | −0.976751 | − | 0.214375i | \(-0.931229\pi\) | ||
0.976751 | − | 0.214375i | \(-0.0687715\pi\) | |||||||
\(578\) | −18.7024 | + | 2.90911i | −0.777917 | + | 0.121003i | ||||
\(579\) | −0.867620 | − | 2.03513i | −0.0360570 | − | 0.0845770i | ||||
\(580\) | −8.44120 | + | 2.69112i | −0.350502 | + | 0.111743i | ||||
\(581\) | 13.1759 | − | 28.3346i | 0.546628 | − | 1.17552i | ||||
\(582\) | −16.5460 | + | 10.3114i | −0.685852 | + | 0.427420i | ||||
\(583\) | −23.5367 | + | 23.5367i | −0.974791 | + | 0.974791i | ||||
\(584\) | 7.85839 | − | 23.5191i | 0.325183 | − | 0.973226i | ||||
\(585\) | 2.35506 | + | 2.26006i | 0.0973699 | + | 0.0934420i | ||||
\(586\) | −2.27775 | − | 3.74016i | −0.0940932 | − | 0.154505i | ||||
\(587\) | −3.22485 | + | 1.33578i | −0.133104 | + | 0.0551333i | −0.448241 | − | 0.893913i | \(-0.647949\pi\) |
0.315137 | + | 0.949046i | \(0.397949\pi\) | |||||||
\(588\) | 14.2169 | + | 19.6438i | 0.586295 | + | 0.810097i | ||||
\(589\) | −9.67817 | + | 23.3652i | −0.398782 | + | 0.962745i | ||||
\(590\) | −8.85579 | + | 12.1182i | −0.364587 | + | 0.498900i | ||||
\(591\) | 17.5365 | + | 17.1792i | 0.721353 | + | 0.706657i | ||||
\(592\) | −32.6212 | − | 20.4907i | −1.34072 | − | 0.842162i | ||||
\(593\) | 12.7937i | 0.525373i | 0.964881 | + | 0.262686i | \(0.0846085\pi\) | ||||
−0.964881 | + | 0.262686i | \(0.915392\pi\) | |||||||
\(594\) | −6.27710 | − | 33.5082i | −0.257552 | − | 1.37486i | ||||
\(595\) | 6.06688 | − | 2.21549i | 0.248718 | − | 0.0908264i | ||||
\(596\) | 15.6112 | + | 18.4846i | 0.639458 | + | 0.757159i | ||||
\(597\) | 15.4029 | − | 38.2958i | 0.630397 | − | 1.56734i | ||||
\(598\) | −8.03786 | + | 4.89504i | −0.328692 | + | 0.200173i | ||||
\(599\) | 9.46156 | − | 9.46156i | 0.386589 | − | 0.386589i | −0.486880 | − | 0.873469i | \(-0.661865\pi\) |
0.873469 | + | 0.486880i | \(0.161865\pi\) | |||||||
\(600\) | −16.3688 | + | 1.32093i | −0.668252 | + | 0.0539269i | ||||
\(601\) | −26.5750 | − | 26.5750i | −1.08402 | − | 1.08402i | −0.996130 | − | 0.0878866i | \(-0.971989\pi\) |
−0.0878866 | − | 0.996130i | \(-0.528011\pi\) | |||||||
\(602\) | −4.77737 | + | 2.63752i | −0.194711 | + | 0.107497i | ||||
\(603\) | 1.66512 | − | 0.730220i | 0.0678091 | − | 0.0297369i | ||||
\(604\) | −8.79658 | − | 4.54362i | −0.357928 | − | 0.184877i | ||||
\(605\) | 12.4792 | + | 5.16905i | 0.507352 | + | 0.210152i | ||||
\(606\) | −6.52512 | + | 9.12461i | −0.265065 | + | 0.370662i | ||||
\(607\) | 25.9850i | 1.05470i | 0.849649 | + | 0.527348i | \(0.176814\pi\) | ||||
−0.849649 | + | 0.527348i | \(0.823186\pi\) | |||||||
\(608\) | −40.3716 | + | 16.0713i | −1.63728 | + | 0.651778i | ||||
\(609\) | −15.8057 | − | 0.510316i | −0.640480 | − | 0.0206791i | ||||
\(610\) | 27.6789 | − | 4.30538i | 1.12069 | − | 0.174320i | ||||
\(611\) | −1.00554 | + | 2.42758i | −0.0406796 | + | 0.0982092i | ||||
\(612\) | 10.2432 | + | 5.02653i | 0.414057 | + | 0.203186i | ||||
\(613\) | 14.5692 | + | 35.1731i | 0.588443 | + | 1.42063i | 0.884991 | + | 0.465609i | \(0.154165\pi\) |
−0.296548 | + | 0.955018i | \(0.595835\pi\) | |||||||
\(614\) | −33.9806 | − | 8.25759i | −1.37134 | − | 0.333249i | ||||
\(615\) | −6.51129 | + | 0.0670104i | −0.262561 | + | 0.00270212i | ||||
\(616\) | −25.2181 | − | 23.8599i | −1.01606 | − | 0.961343i | ||||
\(617\) | 24.4432 | − | 24.4432i | 0.984048 | − | 0.984048i | −0.0158270 | − | 0.999875i | \(-0.505038\pi\) |
0.999875 | + | 0.0158270i | \(0.00503809\pi\) | |||||||
\(618\) | −5.69918 | + | 24.5509i | −0.229255 | + | 0.987582i | ||||
\(619\) | −16.9475 | − | 40.9150i | −0.681179 | − | 1.64451i | −0.761836 | − | 0.647770i | \(-0.775702\pi\) |
0.0806567 | − | 0.996742i | \(-0.474298\pi\) | |||||||
\(620\) | 6.45789 | − | 5.45400i | 0.259355 | − | 0.219038i | ||||
\(621\) | −37.1918 | + | 16.7684i | −1.49246 | + | 0.672895i | ||||
\(622\) | −25.0061 | − | 18.2740i | −1.00265 | − | 0.732722i | ||||
\(623\) | −22.2215 | + | 20.4059i | −0.890286 | + | 0.817546i | ||||
\(624\) | 3.44783 | + | 4.75338i | 0.138024 | + | 0.190287i | ||||
\(625\) | − | 2.99732i | − | 0.119893i | ||||||
\(626\) | 29.6782 | + | 21.6883i | 1.18618 | + | 0.866838i | ||||
\(627\) | 56.7787 | − | 24.2060i | 2.26752 | − | 0.966695i | ||||
\(628\) | −0.264253 | + | 3.13555i | −0.0105448 | + | 0.125122i | ||||
\(629\) | −16.9204 | + | 7.00866i | −0.674660 | + | 0.279454i | ||||
\(630\) | 13.9238 | + | 3.70959i | 0.554737 | + | 0.147793i | ||||
\(631\) | −23.5625 | − | 23.5625i | −0.938008 | − | 0.938008i | 0.0601800 | − | 0.998188i | \(-0.480833\pi\) |
−0.998188 | + | 0.0601800i | \(0.980833\pi\) | |||||||
\(632\) | 9.04100 | + | 18.1144i | 0.359632 | + | 0.720552i | ||||
\(633\) | 16.6188 | − | 0.171031i | 0.660538 | − | 0.00679787i | ||||
\(634\) | 7.32260 | − | 30.1330i | 0.290817 | − | 1.19673i | ||||
\(635\) | 2.47495 | + | 5.97505i | 0.0982152 | + | 0.237112i | ||||
\(636\) | 11.1784 | − | 22.1990i | 0.443252 | − | 0.880249i | ||||
\(637\) | 5.26847 | + | 2.72832i | 0.208744 | + | 0.108100i | ||||
\(638\) | 22.3717 | − | 3.47985i | 0.885703 | − | 0.137769i | ||||
\(639\) | 11.6472 | − | 0.239758i | 0.460757 | − | 0.00948470i | ||||
\(640\) | 14.4538 | + | 1.41989i | 0.571337 | + | 0.0561262i | ||||
\(641\) | 6.47610i | 0.255790i | 0.991788 | + | 0.127895i | \(0.0408221\pi\) | ||||
−0.991788 | + | 0.127895i | \(0.959178\pi\) | |||||||
\(642\) | 19.6688 | − | 27.5045i | 0.776266 | − | 1.08552i | ||||
\(643\) | 8.28119 | − | 19.9926i | 0.326578 | − | 0.788430i | −0.672263 | − | 0.740312i | \(-0.734678\pi\) |
0.998842 | − | 0.0481179i | \(-0.0153223\pi\) | |||||||
\(644\) | −20.6196 | + | 36.0678i | −0.812527 | + | 1.42127i | ||||
\(645\) | −1.21007 | + | 3.00857i | −0.0476464 | + | 0.118462i | ||||
\(646\) | −4.87820 | + | 20.0741i | −0.191930 | + | 0.789806i | ||||
\(647\) | −21.0983 | + | 21.0983i | −0.829458 | + | 0.829458i | −0.987442 | − | 0.157984i | \(-0.949501\pi\) |
0.157984 | + | 0.987442i | \(0.449501\pi\) | |||||||
\(648\) | 12.2956 | + | 22.2894i | 0.483016 | + | 0.875611i | ||||
\(649\) | 27.1212 | − | 27.1212i | 1.06460 | − | 1.06460i | ||||
\(650\) | −3.43172 | + | 2.08991i | −0.134603 | + | 0.0819731i | ||||
\(651\) | 14.1182 | − | 5.32094i | 0.553334 | − | 0.208544i | ||||
\(652\) | 36.9532 | + | 3.11428i | 1.44720 | + | 0.121965i | ||||
\(653\) | 21.3062 | + | 8.82533i | 0.833778 | + | 0.345362i | 0.758397 | − | 0.651793i | \(-0.225983\pi\) |
0.0753805 | + | 0.997155i | \(0.475983\pi\) | |||||||
\(654\) | 11.4291 | − | 1.89842i | 0.446912 | − | 0.0742342i | ||||
\(655\) | − | 23.8738i | − | 0.932828i | ||||||
\(656\) | −11.5494 | − | 1.96060i | −0.450926 | − | 0.0765486i | ||||
\(657\) | −0.541300 | − | 26.2958i | −0.0211181 | − | 1.02590i | ||||
\(658\) | 1.29350 | + | 11.5273i | 0.0504258 | + | 0.449381i | ||||
\(659\) | 16.3666 | + | 6.77928i | 0.637553 | + | 0.264083i | 0.677959 | − | 0.735100i | \(-0.262865\pi\) |
−0.0404052 | + | 0.999183i | \(0.512865\pi\) | |||||||
\(660\) | −20.5738 | − | 1.52083i | −0.800833 | − | 0.0591982i | ||||
\(661\) | 12.5870 | + | 30.3878i | 0.489579 | + | 1.18195i | 0.954933 | + | 0.296823i | \(0.0959270\pi\) |
−0.465354 | + | 0.885125i | \(0.654073\pi\) | |||||||
\(662\) | 4.27196 | − | 2.60161i | 0.166034 | − | 0.101115i | ||||
\(663\) | 2.79158 | − | 0.0287294i | 0.108416 | − | 0.00111576i | ||||
\(664\) | −2.34426 | − | 33.3235i | −0.0909750 | − | 1.29320i | ||||
\(665\) | −1.11018 | + | 26.0652i | −0.0430510 | + | 1.01077i | ||||
\(666\) | −39.8943 | − | 8.82929i | −1.54587 | − | 0.342128i | ||||
\(667\) | −10.3686 | − | 25.0319i | −0.401473 | − | 0.969241i | ||||
\(668\) | 4.60160 | − | 8.90883i | 0.178041 | − | 0.344693i | ||||
\(669\) | −20.1258 | + | 8.58007i | −0.778108 | + | 0.331725i | ||||
\(670\) | −0.169110 | − | 1.08719i | −0.00653330 | − | 0.0420020i | ||||
\(671\) | −71.5824 | −2.76341 | ||||||||
\(672\) | 23.4669 | + | 11.0139i | 0.905254 | + | 0.424871i | ||||
\(673\) | −35.4030 | −1.36469 | −0.682343 | − | 0.731032i | \(-0.739039\pi\) | ||||
−0.682343 | + | 0.731032i | \(0.739039\pi\) | |||||||
\(674\) | −1.84087 | − | 11.8348i | −0.0709078 | − | 0.455860i | ||||
\(675\) | −15.8788 | + | 7.15919i | −0.611177 | + | 0.275558i | ||||
\(676\) | −21.8239 | − | 11.2725i | −0.839382 | − | 0.433558i | ||||
\(677\) | 8.22253 | + | 19.8509i | 0.316017 | + | 0.762933i | 0.999458 | + | 0.0329271i | \(0.0104829\pi\) |
−0.683440 | + | 0.730006i | \(0.739517\pi\) | |||||||
\(678\) | 16.2798 | + | 26.1232i | 0.625223 | + | 1.00325i | ||||
\(679\) | −0.896101 | + | 21.0390i | −0.0343892 | + | 0.807402i | ||||
\(680\) | 4.52770 | − | 5.21294i | 0.173629 | − | 0.199907i | ||||
\(681\) | −0.428557 | − | 41.6421i | −0.0164223 | − | 1.59573i | ||||
\(682\) | −18.4488 | + | 11.2353i | −0.706442 | + | 0.430222i | ||||
\(683\) | 0.314108 | + | 0.758323i | 0.0120190 | + | 0.0290164i | 0.929775 | − | 0.368128i | \(-0.120001\pi\) |
−0.917756 | + | 0.397144i | \(0.870001\pi\) | |||||||
\(684\) | −34.5919 | + | 30.4561i | −1.32265 | + | 1.16452i | ||||
\(685\) | 1.58204 | + | 0.655304i | 0.0604468 | + | 0.0250379i | ||||
\(686\) | 26.1823 | − | 0.696895i | 0.999646 | − | 0.0266076i | ||||
\(687\) | 5.57279 | + | 5.45925i | 0.212615 | + | 0.208284i | ||||
\(688\) | −3.10309 | + | 4.94012i | −0.118304 | + | 0.188340i | ||||
\(689\) | − | 6.08125i | − | 0.231677i | ||||||
\(690\) | 4.04537 | + | 24.3544i | 0.154005 | + | 0.927154i | ||||
\(691\) | 20.4739 | + | 8.48058i | 0.778865 | + | 0.322616i | 0.736457 | − | 0.676484i | \(-0.236497\pi\) |
0.0424075 | + | 0.999100i | \(0.486497\pi\) | |||||||
\(692\) | −1.29467 | + | 15.3622i | −0.0492161 | + | 0.583985i | ||||
\(693\) | −33.7016 | − | 14.8358i | −1.28022 | − | 0.563567i | ||||
\(694\) | 31.0767 | − | 18.9257i | 1.17966 | − | 0.718409i | ||||
\(695\) | 4.88382 | − | 4.88382i | 0.185254 | − | 0.185254i | ||||
\(696\) | −15.0479 | + | 7.70496i | −0.570391 | + | 0.292056i | ||||
\(697\) | −3.93812 | + | 3.93812i | −0.149167 | + | 0.149167i | ||||
\(698\) | 5.98528 | − | 24.6298i | 0.226546 | − | 0.932253i | ||||
\(699\) | 30.2796 | + | 12.1787i | 1.14528 | + | 0.460641i | ||||
\(700\) | −8.80343 | + | 15.3990i | −0.332738 | + | 0.582026i | ||||
\(701\) | 15.2144 | − | 36.7308i | 0.574640 | − | 1.38730i | −0.322927 | − | 0.946424i | \(-0.604667\pi\) |
0.897567 | − | 0.440879i | \(-0.145333\pi\) | |||||||
\(702\) | 5.13973 | + | 3.51790i | 0.193987 | + | 0.132774i | ||||
\(703\) | − | 73.9779i | − | 2.79013i | ||||||
\(704\) | −35.9393 | − | 9.26235i | −1.35451 | − | 0.349088i | ||||
\(705\) | 4.92394 | + | 4.82363i | 0.185446 | + | 0.181668i | ||||
\(706\) | −47.0212 | + | 7.31402i | −1.76967 | + | 0.275267i | ||||
\(707\) | 4.15621 | + | 11.3813i | 0.156310 | + | 0.428038i | ||||
\(708\) | −12.8808 | + | 25.5798i | −0.484090 | + | 0.961349i | ||||
\(709\) | −12.2861 | − | 29.6612i | −0.461414 | − | 1.11395i | −0.967817 | − | 0.251654i | \(-0.919025\pi\) |
0.506404 | − | 0.862297i | \(-0.330975\pi\) | |||||||
\(710\) | 1.66470 | − | 6.85034i | 0.0624749 | − | 0.257089i | ||||
\(711\) | 15.4932 | + | 14.8682i | 0.581041 | + | 0.557602i | ||||
\(712\) | −10.2210 | + | 30.5901i | −0.383049 | + | 1.14641i | ||||
\(713\) | 18.2786 | + | 18.2786i | 0.684539 | + | 0.684539i | ||||
\(714\) | 10.7273 | − | 6.06728i | 0.401461 | − | 0.227062i | ||||
\(715\) | −4.66335 | + | 1.93162i | −0.174400 | + | 0.0722386i | ||||
\(716\) | −3.65275 | − | 0.307841i | −0.136510 | − | 0.0115045i | ||||
\(717\) | −16.2227 | − | 38.0527i | −0.605849 | − | 1.42111i | ||||
\(718\) | −16.4391 | − | 12.0134i | −0.613503 | − | 0.448337i | ||||
\(719\) | − | 11.5801i | − | 0.431864i | −0.976408 | − | 0.215932i | \(-0.930721\pi\) | ||
0.976408 | − | 0.215932i | \(-0.0692789\pi\) | |||||||
\(720\) | 14.9439 | − | 3.73831i | 0.556926 | − | 0.139318i | ||||
\(721\) | 18.4131 | + | 20.0514i | 0.685739 | + | 0.746752i | ||||
\(722\) | −45.6782 | − | 33.3808i | −1.69997 | − | 1.24230i | ||||
\(723\) | −5.28158 | − | 12.3887i | −0.196424 | − | 0.460740i | ||||
\(724\) | 27.2631 | + | 32.2813i | 1.01323 | + | 1.19972i | ||||
\(725\) | −4.42680 | − | 10.6872i | −0.164407 | − | 0.396914i | ||||
\(726\) | 25.1066 | + | 5.82817i | 0.931792 | + | 0.216304i | ||||
\(727\) | −18.8079 | + | 18.8079i | −0.697547 | + | 0.697547i | −0.963881 | − | 0.266334i | \(-0.914188\pi\) |
0.266334 | + | 0.963881i | \(0.414188\pi\) | |||||||
\(728\) | 6.34022 | − | 0.175455i | 0.234984 | − | 0.00650281i | ||||
\(729\) | 20.2336 | + | 17.8774i | 0.749393 | + | 0.662126i | ||||
\(730\) | −15.4659 | − | 3.75837i | −0.572420 | − | 0.139103i | ||||
\(731\) | 1.06139 | + | 2.56241i | 0.0392567 | + | 0.0947742i | ||||
\(732\) | 50.7555 | − | 16.7586i | 1.87598 | − | 0.619416i | ||||
\(733\) | 6.12274 | − | 14.7816i | 0.226148 | − | 0.545971i | −0.769554 | − | 0.638582i | \(-0.779521\pi\) |
0.995702 | + | 0.0926112i | \(0.0295214\pi\) | |||||||
\(734\) | −0.651235 | + | 0.101298i | −0.0240375 | + | 0.00373897i | ||||
\(735\) | 11.7975 | − | 10.1517i | 0.435158 | − | 0.374451i | ||||
\(736\) | −0.614885 | + | 44.4101i | −0.0226650 | + | 1.63698i | ||||
\(737\) | 2.81167i | 0.103569i | ||||||||
\(738\) | −12.2356 | + | 2.16202i | −0.450400 | + | 0.0795849i | ||||
\(739\) | −33.2434 | − | 13.7699i | −1.22288 | − | 0.506533i | −0.324555 | − | 0.945867i | \(-0.605214\pi\) |
−0.898324 | + | 0.439334i | \(0.855214\pi\) | |||||||
\(740\) | −11.3471 | + | 21.9684i | −0.417129 | + | 0.807574i | ||||
\(741\) | −4.20795 | + | 10.4621i | −0.154583 | + | 0.384336i | ||||
\(742\) | −12.9752 | − | 23.5022i | −0.476336 | − | 0.862794i | ||||
\(743\) | 21.7102 | + | 21.7102i | 0.796472 | + | 0.796472i | 0.982537 | − | 0.186066i | \(-0.0595737\pi\) |
−0.186066 | + | 0.982537i | \(0.559574\pi\) | |||||||
\(744\) | 10.4508 | − | 12.2856i | 0.383144 | − | 0.450411i | ||||
\(745\) | 10.9810 | − | 10.9810i | 0.402311 | − | 0.402311i | ||||
\(746\) | 23.9251 | − | 14.5704i | 0.875962 | − | 0.533459i | ||||
\(747\) | −14.2302 | − | 32.4491i | −0.520654 | − | 1.18725i | ||||
\(748\) | −13.4803 | + | 11.3847i | −0.492888 | + | 0.416267i | ||||
\(749\) | −12.5282 | − | 34.3069i | −0.457769 | − | 1.25355i | ||||
\(750\) | 4.30335 | + | 25.9075i | 0.157136 | + | 0.946007i | ||||
\(751\) | − | 38.7252i | − | 1.41310i | −0.707662 | − | 0.706551i | \(-0.750250\pi\) | ||
0.707662 | − | 0.706551i | \(-0.249750\pi\) | |||||||
\(752\) | 7.17730 | + | 10.1124i | 0.261729 | + | 0.368760i | ||||
\(753\) | 22.1302 | − | 22.5905i | 0.806470 | − | 0.823242i | ||||
\(754\) | −2.44057 | + | 3.33967i | −0.0888803 | + | 0.121624i | ||||
\(755\) | −2.43186 | + | 5.87103i | −0.0885045 | + | 0.213669i | ||||
\(756\) | 27.3695 | + | 2.62925i | 0.995417 | + | 0.0956249i | ||||
\(757\) | 32.8313 | − | 13.5992i | 1.19327 | − | 0.494271i | 0.304455 | − | 0.952527i | \(-0.401526\pi\) |
0.888820 | + | 0.458256i | \(0.151526\pi\) | |||||||
\(758\) | 7.67291 | + | 12.5992i | 0.278693 | + | 0.457624i | ||||
\(759\) | −0.649240 | − | 63.0856i | −0.0235659 | − | 2.28986i | ||||
\(760\) | 12.4550 | + | 24.9547i | 0.451791 | + | 0.905201i | ||||
\(761\) | 0.854654 | − | 0.854654i | 0.0309812 | − | 0.0309812i | −0.691446 | − | 0.722428i | \(-0.743026\pi\) |
0.722428 | + | 0.691446i | \(0.243026\pi\) | |||||||
\(762\) | 6.52695 | + | 10.4734i | 0.236446 | + | 0.379410i | ||||
\(763\) | 5.27653 | − | 11.3471i | 0.191023 | − | 0.410794i | ||||
\(764\) | −3.51046 | − | 11.0112i | −0.127004 | − | 0.398372i | ||||
\(765\) | 2.66275 | − | 6.82231i | 0.0962720 | − | 0.246661i | ||||
\(766\) | −36.6174 | + | 5.69574i | −1.32304 | + | 0.205795i | ||||
\(767\) | 7.00740i | 0.253023i | ||||||||
\(768\) | 27.6512 | − | 1.84650i | 0.997778 | − | 0.0666299i | ||||
\(769\) | 10.2705i | 0.370364i | 0.982704 | + | 0.185182i | \(0.0592874\pi\) | ||||
−0.982704 | + | 0.185182i | \(0.940713\pi\) | |||||||
\(770\) | −13.9011 | + | 17.4151i | −0.500959 | + | 0.627596i | ||||
\(771\) | −13.0852 | − | 30.6932i | −0.471251 | − | 1.10539i | ||||
\(772\) | −2.43391 | + | 0.775949i | −0.0875982 | + | 0.0279270i | ||||
\(773\) | −11.8746 | − | 28.6679i | −0.427101 | − | 1.03111i | −0.980202 | − | 0.197999i | \(-0.936556\pi\) |
0.553102 | − | 0.833114i | \(-0.313444\pi\) | |||||||
\(774\) | −1.33710 | + | 6.04156i | −0.0480611 | + | 0.217159i | ||||
\(775\) | 7.80395 | + | 7.80395i | 0.280326 | + | 0.280326i | ||||
\(776\) | 10.0533 | + | 20.1426i | 0.360891 | + | 0.723076i | ||||
\(777\) | −32.1979 | + | 30.1838i | −1.15509 | + | 1.08284i | ||||
\(778\) | −25.8124 | + | 15.7197i | −0.925420 | + | 0.563579i | ||||
\(779\) | −8.60895 | − | 20.7838i | −0.308448 | − | 0.744659i | ||||
\(780\) | 2.85433 | − | 2.46138i | 0.102201 | − | 0.0881317i | ||||
\(781\) | −6.89409 | + | 16.6438i | −0.246690 | + | 0.595562i | ||||
\(782\) | 17.0483 | + | 12.4586i | 0.609647 | + | 0.445519i | ||||
\(783\) | −12.2819 | + | 13.0647i | −0.438921 | + | 0.466895i | ||||
\(784\) | 24.1287 | − | 14.2059i | 0.861739 | − | 0.507352i | ||||
\(785\) | 2.01968 | 0.0720856 | ||||||||
\(786\) | −7.46460 | − | 44.9392i | −0.266254 | − | 1.60293i | ||||
\(787\) | 24.2088 | + | 10.0276i | 0.862951 | + | 0.357446i | 0.769861 | − | 0.638212i | \(-0.220326\pi\) |
0.0930901 | + | 0.995658i | \(0.470326\pi\) | |||||||
\(788\) | 21.6566 | − | 18.2901i | 0.771485 | − | 0.651556i | ||||
\(789\) | −4.51129 | + | 11.2163i | −0.160606 | + | 0.399312i | ||||
\(790\) | 11.0983 | − | 6.75885i | 0.394860 | − | 0.240469i | ||||
\(791\) | 33.2169 | + | 1.41479i | 1.18106 | + | 0.0503040i | ||||
\(792\) | −39.2028 | + | 3.57002i | −1.39301 | + | 0.126855i | ||||
\(793\) | 9.24749 | − | 9.24749i | 0.328388 | − | 0.328388i | ||||
\(794\) | 8.90922 | + | 2.16502i | 0.316176 | + | 0.0768338i | ||||
\(795\) | −14.8006 | − | 5.95292i | −0.524924 | − | 0.211128i | ||||
\(796\) | −42.3475 | − | 21.8734i | −1.50097 | − | 0.775281i | ||||
\(797\) | 7.49626 | + | 3.10505i | 0.265531 | + | 0.109987i | 0.511477 | − | 0.859297i | \(-0.329099\pi\) |
−0.245946 | + | 0.969284i | \(0.579099\pi\) | |||||||
\(798\) | 6.06003 | + | 49.4113i | 0.214523 | + | 1.74914i | ||||
\(799\) | 5.89546 | 0.208566 | ||||||||
\(800\) | −0.262522 | + | 18.9606i | −0.00928154 | + | 0.670360i | ||||
\(801\) | 0.704043 | + | 34.2017i | 0.0248761 | + | 1.20846i | ||||
\(802\) | −1.14053 | + | 0.177407i | −0.0402736 | + | 0.00626445i | ||||
\(803\) | 37.5765 | + | 15.5647i | 1.32605 | + | 0.549267i | ||||
\(804\) | −0.658258 | − | 1.99362i | −0.0232150 | − | 0.0703095i | ||||
\(805\) | 24.1797 | + | 11.2438i | 0.852224 | + | 0.396292i | ||||
\(806\) | 0.931891 | − | 3.83480i | 0.0328245 | − | 0.135075i | ||||
\(807\) | −10.5802 | + | 0.108885i | −0.372441 | + | 0.00383294i | ||||
\(808\) | 9.77934 | + | 8.49384i | 0.344036 | + | 0.298812i | ||||
\(809\) | 15.6991 | − | 15.6991i | 0.551951 | − | 0.551951i | −0.375053 | − | 0.927003i | \(-0.622375\pi\) |
0.927003 | + | 0.375053i | \(0.122375\pi\) | |||||||
\(810\) | 13.5931 | − | 9.06546i | 0.477615 | − | 0.318528i | ||||
\(811\) | 2.36034 | + | 5.69837i | 0.0828829 | + | 0.200097i | 0.959888 | − | 0.280384i | \(-0.0904620\pi\) |
−0.877005 | + | 0.480481i | \(0.840462\pi\) | |||||||
\(812\) | −2.30640 | + | 18.1141i | −0.0809387 | + | 0.635682i | ||||
\(813\) | 4.39182 | + | 10.3016i | 0.154028 | + | 0.361294i | ||||
\(814\) | 37.2809 | − | 51.0151i | 1.30669 | − | 1.78808i | ||||
\(815\) | − | 23.8024i | − | 0.833763i | ||||||
\(816\) | 6.89284 | − | 11.2283i | 0.241298 | − | 0.393069i | ||||
\(817\) | −11.2032 | −0.391949 | ||||||||
\(818\) | −35.3166 | − | 25.8087i | −1.23481 | − | 0.902380i | ||||
\(819\) | 6.27039 | − | 2.43721i | 0.219105 | − | 0.0851630i | ||||
\(820\) | −0.631435 | + | 7.49243i | −0.0220507 | + | 0.261647i | ||||
\(821\) | 13.1530 | + | 31.7541i | 0.459041 | + | 1.10822i | 0.968786 | + | 0.247898i | \(0.0797399\pi\) |
−0.509745 | + | 0.860326i | \(0.670260\pi\) | |||||||
\(822\) | 3.18287 | + | 0.738863i | 0.111015 | + | 0.0257708i | ||||
\(823\) | 32.5081 | + | 32.5081i | 1.13316 | + | 1.13316i | 0.989649 | + | 0.143511i | \(0.0458392\pi\) |
0.143511 | + | 0.989649i | \(0.454161\pi\) | |||||||
\(824\) | 27.6027 | + | 9.22285i | 0.961586 | + | 0.321293i | ||||
\(825\) | −0.277189 | − | 26.9340i | −0.00965049 | − | 0.937722i | ||||
\(826\) | 14.9513 | + | 27.0815i | 0.520223 | + | 0.942286i | ||||
\(827\) | 8.61595 | − | 3.56884i | 0.299606 | − | 0.124101i | −0.227816 | − | 0.973704i | \(-0.573159\pi\) |
0.527422 | + | 0.849603i | \(0.323159\pi\) | |||||||
\(828\) | 15.2297 | + | 44.5788i | 0.529268 | + | 1.54922i | ||||
\(829\) | −20.9131 | + | 50.4888i | −0.726344 | + | 1.75355i | −0.0719329 | + | 0.997409i | \(0.522917\pi\) |
−0.654411 | + | 0.756139i | \(0.727083\pi\) | |||||||
\(830\) | −21.1867 | + | 3.29553i | −0.735401 | + | 0.114390i | ||||
\(831\) | 40.4214 | + | 39.5979i | 1.40220 | + | 1.37363i | ||||
\(832\) | 5.83945 | − | 3.44631i | 0.202446 | − | 0.119479i | ||||
\(833\) | 1.13190 | − | 13.2635i | 0.0392181 | − | 0.459554i | ||||
\(834\) | 7.66609 | − | 10.7201i | 0.265455 | − | 0.371208i | ||||
\(835\) | −5.94595 | − | 2.46290i | −0.205768 | − | 0.0852320i | ||||
\(836\) | −21.6485 | − | 67.9044i | −0.748728 | − | 2.34852i | ||||
\(837\) | 6.05583 | − | 16.0000i | 0.209320 | − | 0.553041i | ||||
\(838\) | −23.7241 | − | 5.76519i | −0.819537 | − | 0.199155i | ||||
\(839\) | −22.7361 | + | 22.7361i | −0.784937 | + | 0.784937i | −0.980659 | − | 0.195723i | \(-0.937295\pi\) |
0.195723 | + | 0.980659i | \(0.437295\pi\) | |||||||
\(840\) | 5.77939 | − | 15.6026i | 0.199408 | − | 0.538342i | ||||
\(841\) | 12.0854 | + | 12.0854i | 0.416739 | + | 0.416739i | ||||
\(842\) | −2.71845 | − | 4.46380i | −0.0936838 | − | 0.153833i | ||||
\(843\) | 2.61604 | − | 6.50420i | 0.0901011 | − | 0.224016i | ||||
\(844\) | 1.61161 | − | 19.1230i | 0.0554740 | − | 0.658239i | ||||
\(845\) | −6.03334 | + | 14.5658i | −0.207553 | + | 0.501078i | ||||
\(846\) | 10.7768 | + | 7.54024i | 0.370515 | + | 0.259239i | ||||
\(847\) | 20.5052 | − | 18.8298i | 0.704567 | − | 0.647000i | ||||
\(848\) | −24.3029 | − | 15.2656i | −0.834565 | − | 0.524224i | ||||
\(849\) | 15.2664 | + | 14.9554i | 0.523941 | + | 0.513267i | ||||
\(850\) | 7.27868 | + | 5.31913i | 0.249657 | + | 0.182445i | ||||
\(851\) | −69.8590 | − | 28.9365i | −2.39474 | − | 0.991932i | ||||
\(852\) | 0.991671 | − | 13.4153i | 0.0339741 | − | 0.459601i | ||||
\(853\) | 6.58810 | + | 15.9051i | 0.225572 | + | 0.544580i | 0.995629 | − | 0.0933956i | \(-0.0297721\pi\) |
−0.770057 | + | 0.637975i | \(0.779772\pi\) | |||||||
\(854\) | 16.0079 | − | 55.4696i | 0.547779 | − | 1.89813i | ||||
\(855\) | 21.3437 | + | 20.4827i | 0.729939 | + | 0.700494i | ||||
\(856\) | −29.4781 | − | 25.6032i | −1.00754 | − | 0.875099i | ||||
\(857\) | −6.47594 | + | 6.47594i | −0.221214 | + | 0.221214i | −0.809010 | − | 0.587796i | \(-0.799996\pi\) |
0.587796 | + | 0.809010i | \(0.299996\pi\) | |||||||
\(858\) | −8.17416 | + | 5.09410i | −0.279061 | + | 0.173910i | ||||
\(859\) | 39.4456 | − | 16.3389i | 1.34587 | − | 0.557476i | 0.410728 | − | 0.911758i | \(-0.365275\pi\) |
0.935139 | + | 0.354281i | \(0.115275\pi\) | |||||||
\(860\) | 3.32687 | + | 1.71840i | 0.113445 | + | 0.0585969i | ||||
\(861\) | −5.53334 | + | 12.2270i | −0.188576 | + | 0.416694i | ||||
\(862\) | 16.7347 | − | 2.60304i | 0.569987 | − | 0.0886600i | ||||
\(863\) | − | 21.6558i | − | 0.737172i | −0.929594 | − | 0.368586i | \(-0.879842\pi\) | ||
0.929594 | − | 0.368586i | \(-0.120158\pi\) | |||||||
\(864\) | 26.9609 | − | 11.7093i | 0.917229 | − | 0.398359i | ||||
\(865\) | 9.89519 | 0.336446 | ||||||||
\(866\) | 2.89675 | − | 0.450581i | 0.0984355 | − | 0.0153114i | ||||
\(867\) | 9.09096 | + | 21.3241i | 0.308745 | + | 0.724206i | ||||
\(868\) | −4.58062 | − | 16.8087i | −0.155476 | − | 0.570523i | ||||
\(869\) | −30.6787 | + | 12.7076i | −1.04071 | + | 0.431074i | ||||
\(870\) | 5.73906 | + | 9.20908i | 0.194572 | + | 0.312217i | ||||
\(871\) | −0.363231 | − | 0.363231i | −0.0123076 | − | 0.0123076i | ||||
\(872\) | −0.938803 | − | 13.3450i | −0.0317919 | − | 0.451919i | ||||
\(873\) | 17.2279 | + | 16.5330i | 0.583077 | + | 0.559556i | ||||
\(874\) | −72.8463 | + | 44.3633i | −2.46406 | + | 1.50061i | ||||
\(875\) | 25.7217 | + | 11.9608i | 0.869553 | + | 0.404350i | ||||
\(876\) | −30.2876 | − | 2.23889i | −1.02332 | − | 0.0756449i | ||||
\(877\) | 3.55455 | − | 8.58145i | 0.120029 | − | 0.289775i | −0.852433 | − | 0.522836i | \(-0.824874\pi\) |
0.972462 | + | 0.233061i | \(0.0748741\pi\) | |||||||
\(878\) | −5.78148 | + | 7.91137i | −0.195116 | + | 0.266996i | ||||
\(879\) | −3.75323 | + | 3.83129i | −0.126593 | + | 0.129226i | ||||
\(880\) | −3.98684 | + | 23.4854i | −0.134396 | + | 0.791691i | ||||
\(881\) | 32.6691i | 1.10065i | 0.834951 | + | 0.550325i | \(0.185496\pi\) | ||||
−0.834951 | + | 0.550325i | \(0.814504\pi\) | |||||||
\(882\) | 19.0330 | − | 22.7979i | 0.640876 | − | 0.767645i | ||||
\(883\) | −18.5221 | + | 44.7163i | −0.623318 | + | 1.50482i | 0.224467 | + | 0.974482i | \(0.427936\pi\) |
−0.847785 | + | 0.530340i | \(0.822064\pi\) | |||||||
\(884\) | 0.270715 | − | 3.21223i | 0.00910513 | − | 0.108039i | ||||
\(885\) | 17.0547 | + | 6.85952i | 0.573287 | + | 0.230580i | ||||
\(886\) | 5.85085 | − | 3.56316i | 0.196563 | − | 0.119707i | ||||
\(887\) | −5.07169 | − | 5.07169i | −0.170291 | − | 0.170291i | 0.616816 | − | 0.787107i | \(-0.288422\pi\) |
−0.787107 | + | 0.616816i | \(0.788422\pi\) | |||||||
\(888\) | −14.4906 | + | 44.9003i | −0.486272 | + | 1.50676i | ||||
\(889\) | 13.3174 | + | 0.567219i | 0.446651 | + | 0.0190239i | ||||
\(890\) | 20.1158 | + | 4.88833i | 0.674283 | + | 0.163857i | ||||
\(891\) | −37.8844 | + | 17.5520i | −1.26918 | + | 0.588016i | ||||
\(892\) | 7.67352 | + | 24.0694i | 0.256929 | + | 0.805904i | ||||
\(893\) | −9.11307 | + | 22.0009i | −0.304957 | + | 0.736232i | ||||
\(894\) | 17.2367 | − | 24.1035i | 0.576482 | − | 0.806142i | ||||
\(895\) | 2.35282i | 0.0786462i | ||||||||
\(896\) | 15.2145 | − | 25.7783i | 0.508282 | − | 0.861191i | ||||
\(897\) | 8.23368 | + | 8.06594i | 0.274915 | + | 0.269314i | ||||
\(898\) | 0.245413 | + | 1.57774i | 0.00818953 | + | 0.0526498i | ||||
\(899\) | 10.4968 | + | 4.34791i | 0.350087 | + | 0.145011i | ||||
\(900\) | 6.50223 | + | 19.0327i | 0.216741 | + | 0.634423i | ||||
\(901\) | −12.6058 | + | 5.22147i | −0.419959 | + | 0.173953i | ||||
\(902\) | 4.53722 | − | 18.6710i | 0.151073 | − | 0.621675i | ||||
\(903\) | 4.57100 | + | 4.87602i | 0.152114 | + | 0.162264i | ||||
\(904\) | 31.8016 | − | 15.8723i | 1.05770 | − | 0.527906i | ||||
\(905\) | 19.1770 | − | 19.1770i | 0.637465 | − | 0.637465i | ||||
\(906\) | −2.74195 | + | 11.8118i | −0.0910953 | + | 0.392420i | ||||
\(907\) | −7.19146 | + | 2.97880i | −0.238789 | + | 0.0989095i | −0.498869 | − | 0.866678i | \(-0.666251\pi\) |
0.260080 | + | 0.965587i | \(0.416251\pi\) | |||||||
\(908\) | −47.9169 | − | 4.03826i | −1.59018 | − | 0.134014i | ||||
\(909\) | 12.7985 | + | 4.99525i | 0.424499 | + | 0.165682i | ||||
\(910\) | −0.453966 | − | 4.04563i | −0.0150488 | − | 0.134111i | ||||
\(911\) | 2.06944 | 0.0685637 | 0.0342819 | − | 0.999412i | \(-0.489086\pi\) | ||||
0.0342819 | + | 0.999412i | \(0.489086\pi\) | |||||||
\(912\) | 31.2474 | + | 43.0794i | 1.03470 | + | 1.42650i | ||||
\(913\) | 54.7925 | 1.81337 | ||||||||
\(914\) | −26.3706 | − | 19.2712i | −0.872263 | − | 0.637434i | ||||
\(915\) | −13.4543 | − | 31.5590i | −0.444785 | − | 1.04331i | ||||
\(916\) | 6.88211 | − | 5.81227i | 0.227391 | − | 0.192043i | ||||
\(917\) | −44.6170 | − | 20.7473i | −1.47338 | − | 0.685137i | ||||
\(918\) | 2.87914 | − | 13.6746i | 0.0950256 | − | 0.451329i | ||||
\(919\) | 2.31318 | + | 2.31318i | 0.0763047 | + | 0.0763047i | 0.744229 | − | 0.667924i | \(-0.232817\pi\) |
−0.667924 | + | 0.744229i | \(0.732817\pi\) | |||||||
\(920\) | 28.4370 | − | 2.00051i | 0.937541 | − | 0.0659548i | ||||
\(921\) | 0.440745 | + | 42.8265i | 0.0145230 | + | 1.41118i | ||||
\(922\) | 6.16669 | − | 25.3764i | 0.203089 | − | 0.835726i | ||||
\(923\) | −1.25953 | − | 3.04078i | −0.0414580 | − | 0.100089i | ||||
\(924\) | −20.7217 | + | 37.1279i | −0.681692 | + | 1.22142i | ||||
\(925\) | −29.8259 | − | 12.3543i | −0.980670 | − | 0.406207i | ||||
\(926\) | 5.73902 | + | 36.8957i | 0.188596 | + | 1.21247i | ||||
\(927\) | 30.8616 | − | 0.635286i | 1.01363 | − | 0.0208655i | ||||
\(928\) | 7.22003 | + | 18.1369i | 0.237009 | + | 0.595373i | ||||
\(929\) | 23.9455 | 0.785627 | 0.392813 | − | 0.919618i | \(-0.371502\pi\) | ||||
0.392813 | + | 0.919618i | \(0.371502\pi\) | |||||||
\(930\) | −8.42094 | − | 6.02191i | −0.276133 | − | 0.197466i | ||||
\(931\) | 47.7476 | + | 24.7265i | 1.56486 | + | 0.810379i | ||||
\(932\) | 17.2948 | − | 33.4832i | 0.566509 | − | 1.09678i | ||||
\(933\) | −14.1547 | + | 35.1925i | −0.463404 | + | 1.15215i | ||||
\(934\) | 0.123761 | − | 0.509283i | 0.00404957 | − | 0.0166643i | ||||
\(935\) | 8.00808 | + | 8.00808i | 0.261892 | + | 0.261892i | ||||
\(936\) | 4.60327 | − | 5.52567i | 0.150463 | − | 0.180612i | ||||
\(937\) | −5.00364 | + | 5.00364i | −0.163462 | + | 0.163462i | −0.784098 | − | 0.620637i | \(-0.786874\pi\) |
0.620637 | + | 0.784098i | \(0.286874\pi\) | |||||||
\(938\) | −2.17878 | − | 0.628772i | −0.0711398 | − | 0.0205301i | ||||
\(939\) | 16.7993 | − | 41.7678i | 0.548225 | − | 1.36304i | ||||
\(940\) | 6.08082 | − | 5.13554i | 0.198334 | − | 0.167503i | ||||
\(941\) | 0.454949 | − | 1.09834i | 0.0148309 | − | 0.0358050i | −0.916291 | − | 0.400514i | \(-0.868832\pi\) |
0.931122 | + | 0.364709i | \(0.118832\pi\) | |||||||
\(942\) | 3.80177 | − | 0.631492i | 0.123868 | − | 0.0205751i | ||||
\(943\) | −22.9940 | −0.748789 | ||||||||
\(944\) | 28.0041 | + | 17.5905i | 0.911456 | + | 0.572523i | ||||
\(945\) | 0.206361 | − | 17.6467i | 0.00671293 | − | 0.574048i | ||||
\(946\) | −7.72568 | − | 5.64579i | −0.251184 | − | 0.183560i | ||||
\(947\) | −22.5818 | − | 9.35369i | −0.733810 | − | 0.303954i | −0.0156932 | − | 0.999877i | \(-0.504996\pi\) |
−0.718116 | + | 0.695923i | \(0.754996\pi\) | |||||||
\(948\) | 18.7777 | − | 16.1927i | 0.609872 | − | 0.525914i | ||||
\(949\) | −6.86514 | + | 2.84363i | −0.222852 | + | 0.0923083i | ||||
\(950\) | −31.1013 | + | 18.9407i | −1.00906 | + | 0.614516i | ||||
\(951\) | −37.9773 | + | 0.390840i | −1.23150 | + | 0.0126739i | ||||
\(952\) | −5.80752 | − | 12.9919i | −0.188223 | − | 0.421070i | ||||
\(953\) | −6.17054 | − | 6.17054i | −0.199883 | − | 0.199883i | 0.600067 | − | 0.799950i | \(-0.295141\pi\) |
−0.799950 | + | 0.600067i | \(0.795141\pi\) | |||||||
\(954\) | −29.7214 | − | 6.57785i | −0.962266 | − | 0.212966i | ||||
\(955\) | −6.85335 | + | 2.83875i | −0.221769 | + | 0.0918598i | ||||
\(956\) | −45.5092 | + | 14.5087i | −1.47187 | + | 0.469244i | ||||
\(957\) | −10.8745 | − | 25.5078i | −0.351524 | − | 0.824549i | ||||
\(958\) | −7.15310 | + | 1.11265i | −0.231106 | + | 0.0359479i | ||||
\(959\) | 2.59953 | − | 2.38714i | 0.0839433 | − | 0.0770847i | ||||
\(960\) | −2.67143 | − | 17.5857i | −0.0862202 | − | 0.567575i | ||||
\(961\) | 20.1602 | 0.650331 | ||||||||
\(962\) | 1.77428 | + | 11.4067i | 0.0572049 | + | 0.367766i | ||||
\(963\) | −38.5787 | − | 15.0573i | −1.24318 | − | 0.485215i | ||||
\(964\) | −14.8162 | + | 4.72354i | −0.477199 | + | 0.152135i | ||||
\(965\) | 0.627474 | + | 1.51486i | 0.0201991 | + | 0.0487650i | ||||
\(966\) | 49.0306 | + | 13.6047i | 1.57753 | + | 0.437723i | ||||
\(967\) | −16.5213 | + | 16.5213i | −0.531290 | + | 0.531290i | −0.920956 | − | 0.389666i | \(-0.872590\pi\) |
0.389666 | + | 0.920956i | \(0.372590\pi\) | |||||||
\(968\) | 9.43159 | − | 28.2274i | 0.303143 | − | 0.907264i | ||||
\(969\) | 25.2999 | − | 0.260371i | 0.812748 | − | 0.00836433i | ||||
\(970\) | 12.3409 | − | 7.51560i | 0.396243 | − | 0.241311i | ||||
\(971\) | −21.4043 | + | 8.86594i | −0.686896 | + | 0.284522i | −0.698706 | − | 0.715409i | \(-0.746241\pi\) |
0.0118104 | + | 0.999930i | \(0.496241\pi\) | |||||||
\(972\) | 22.7527 | − | 21.3146i | 0.729794 | − | 0.683667i | ||||
\(973\) | −4.88296 | − | 13.3714i | −0.156540 | − | 0.428668i | ||||
\(974\) | 6.93369 | − | 9.48805i | 0.222170 | − | 0.304017i | ||||
\(975\) | 3.51532 | + | 3.44371i | 0.112580 | + | 0.110287i | ||||
\(976\) | −13.7426 | − | 60.1701i | −0.439889 | − | 1.92600i | ||||
\(977\) | 12.2739 | 0.392678 | 0.196339 | − | 0.980536i | \(-0.437095\pi\) | ||||
0.196339 | + | 0.980536i | \(0.437095\pi\) | |||||||
\(978\) | −7.44228 | − | 44.8048i | −0.237978 | − | 1.43270i | ||||
\(979\) | −48.8740 | − | 20.2443i | −1.56202 | − | 0.647010i | ||||
\(980\) | −10.3864 | − | 14.6665i | −0.331781 | − | 0.468505i | ||||
\(981\) | −5.69873 | − | 12.9948i | −0.181947 | − | 0.414894i | ||||
\(982\) | −24.3869 | − | 40.0443i | −0.778217 | − | 1.27786i | ||||
\(983\) | −9.50897 | − | 9.50897i | −0.303289 | − | 0.303289i | 0.539010 | − | 0.842299i | \(-0.318798\pi\) |
−0.842299 | + | 0.539010i | \(0.818798\pi\) | |||||||
\(984\) | 1.15406 | + | 14.3009i | 0.0367901 | + | 0.455896i | ||||
\(985\) | −12.8653 | − | 12.8653i | −0.409923 | − | 0.409923i | ||||
\(986\) | 9.01828 | + | 2.19153i | 0.287201 | + | 0.0697924i | ||||
\(987\) | 13.2938 | − | 5.01026i | 0.423147 | − | 0.159478i | ||||
\(988\) | 11.5690 | + | 5.97565i | 0.368060 | + | 0.190111i | ||||
\(989\) | −4.38212 | + | 10.5794i | −0.139343 | + | 0.336405i | ||||
\(990\) | 4.39641 | + | 24.8809i | 0.139727 | + | 0.790768i | ||||
\(991\) | 61.1699 | 1.94313 | 0.971563 | − | 0.236782i | \(-0.0760928\pi\) | ||||
0.971563 | + | 0.236782i | \(0.0760928\pi\) | |||||||
\(992\) | −12.9859 | − | 13.3506i | −0.412304 | − | 0.423881i | ||||
\(993\) | −4.37603 | − | 4.28688i | −0.138869 | − | 0.136040i | ||||
\(994\) | −11.3557 | − | 9.06431i | −0.360180 | − | 0.287503i | ||||
\(995\) | −11.7072 | + | 28.2637i | −0.371143 | + | 0.896019i | ||||
\(996\) | −38.8506 | + | 12.8278i | −1.23103 | + | 0.406465i | ||||
\(997\) | −19.2385 | + | 7.96884i | −0.609289 | + | 0.252376i | −0.665924 | − | 0.746019i | \(-0.731963\pi\) |
0.0566357 | + | 0.998395i | \(0.481963\pi\) | |||||||
\(998\) | 4.26129 | − | 17.5355i | 0.134889 | − | 0.555077i | ||||
\(999\) | 1.54473 | + | 50.0188i | 0.0488731 | + | 1.58253i |
(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 | 672.2.bo.a.125.6 | yes | 496 | |
3.2 | odd | 2 | inner | 672.2.bo.a.125.119 | yes | 496 | |
7.6 | odd | 2 | inner | 672.2.bo.a.125.5 | ✓ | 496 | |
21.20 | even | 2 | inner | 672.2.bo.a.125.120 | yes | 496 | |
32.21 | even | 8 | inner | 672.2.bo.a.629.120 | yes | 496 | |
96.53 | odd | 8 | inner | 672.2.bo.a.629.5 | yes | 496 | |
224.181 | odd | 8 | inner | 672.2.bo.a.629.119 | yes | 496 | |
672.629 | even | 8 | inner | 672.2.bo.a.629.6 | yes | 496 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
672.2.bo.a.125.5 | ✓ | 496 | 7.6 | odd | 2 | inner | |
672.2.bo.a.125.6 | yes | 496 | 1.1 | even | 1 | trivial | |
672.2.bo.a.125.119 | yes | 496 | 3.2 | odd | 2 | inner | |
672.2.bo.a.125.120 | yes | 496 | 21.20 | even | 2 | inner | |
672.2.bo.a.629.5 | yes | 496 | 96.53 | odd | 8 | inner | |
672.2.bo.a.629.6 | yes | 496 | 672.629 | even | 8 | inner | |
672.2.bo.a.629.119 | yes | 496 | 224.181 | odd | 8 | inner | |
672.2.bo.a.629.120 | yes | 496 | 32.21 | even | 8 | inner |