Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [300,2,Mod(67,300)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(300, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([10, 0, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("300.67");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 300.w (of order \(20\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.39551206064\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(30\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 103.8 | ||
Character | \(\chi\) | \(=\) | 300.103 |
Dual form | 300.2.w.a.67.8 |
$q$-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 \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(151\) | \(277\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{7}{20}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.976661 | − | 1.02281i | −0.690604 | − | 0.723233i | ||||
\(3\) | −0.987688 | + | 0.156434i | −0.570242 | + | 0.0903175i | ||||
\(4\) | −0.0922667 | + | 1.99787i | −0.0461334 | + | 0.998935i | ||||
\(5\) | −0.698282 | + | 2.12424i | −0.312281 | + | 0.949990i | ||||
\(6\) | 1.12464 | + | 0.857431i | 0.459132 | + | 0.350045i | ||||
\(7\) | −1.04258 | − | 1.04258i | −0.394060 | − | 0.394060i | 0.482072 | − | 0.876132i | \(-0.339884\pi\) |
−0.876132 | + | 0.482072i | \(0.839884\pi\) | |||||||
\(8\) | 2.13355 | − | 1.85687i | 0.754323 | − | 0.656503i | ||||
\(9\) | 0.951057 | − | 0.309017i | 0.317019 | − | 0.103006i | ||||
\(10\) | 2.85467 | − | 1.36046i | 0.902727 | − | 0.430214i | ||||
\(11\) | −4.52673 | − | 1.47082i | −1.36486 | − | 0.443470i | −0.467197 | − | 0.884153i | \(-0.654736\pi\) |
−0.897663 | + | 0.440683i | \(0.854736\pi\) | |||||||
\(12\) | −0.221405 | − | 1.98771i | −0.0639141 | − | 0.573802i | ||||
\(13\) | 2.54390 | − | 4.99269i | 0.705552 | − | 1.38472i | −0.208052 | − | 0.978118i | \(-0.566712\pi\) |
0.913604 | − | 0.406606i | \(-0.133288\pi\) | |||||||
\(14\) | −0.0481108 | + | 2.08461i | −0.0128581 | + | 0.557137i | ||||
\(15\) | 0.357381 | − | 2.20732i | 0.0922753 | − | 0.569929i | ||||
\(16\) | −3.98297 | − | 0.368674i | −0.995743 | − | 0.0921685i | ||||
\(17\) | 0.262171 | − | 1.65528i | 0.0635858 | − | 0.401465i | −0.935282 | − | 0.353902i | \(-0.884855\pi\) |
0.998868 | − | 0.0475627i | \(-0.0151454\pi\) | |||||||
\(18\) | −1.24492 | − | 0.670942i | −0.293431 | − | 0.158143i | ||||
\(19\) | 2.76811 | − | 2.01115i | 0.635047 | − | 0.461389i | −0.223098 | − | 0.974796i | \(-0.571617\pi\) |
0.858145 | + | 0.513407i | \(0.171617\pi\) | |||||||
\(20\) | −4.17953 | − | 1.59107i | −0.934572 | − | 0.355775i | ||||
\(21\) | 1.19285 | + | 0.866653i | 0.260300 | + | 0.189119i | ||||
\(22\) | 2.91671 | + | 6.06646i | 0.621845 | + | 1.29337i | ||||
\(23\) | −3.62217 | − | 7.10891i | −0.755275 | − | 1.48231i | −0.872189 | − | 0.489169i | \(-0.837300\pi\) |
0.116914 | − | 0.993142i | \(-0.462700\pi\) | |||||||
\(24\) | −1.81680 | + | 2.16777i | −0.370853 | + | 0.442494i | ||||
\(25\) | −4.02480 | − | 2.96664i | −0.804961 | − | 0.593328i | ||||
\(26\) | −7.59109 | + | 2.27425i | −1.48874 | + | 0.446016i | ||||
\(27\) | −0.891007 | + | 0.453990i | −0.171474 | + | 0.0873705i | ||||
\(28\) | 2.17915 | − | 1.98675i | 0.411820 | − | 0.375461i | ||||
\(29\) | −4.76887 | + | 6.56378i | −0.885556 | + | 1.21886i | 0.0892946 | + | 0.996005i | \(0.471539\pi\) |
−0.974851 | + | 0.222858i | \(0.928461\pi\) | |||||||
\(30\) | −2.60671 | + | 1.79028i | −0.475917 | + | 0.326858i | ||||
\(31\) | 1.29321 | + | 1.77995i | 0.232268 | + | 0.319689i | 0.909203 | − | 0.416354i | \(-0.136692\pi\) |
−0.676935 | + | 0.736043i | \(0.736692\pi\) | |||||||
\(32\) | 3.51293 | + | 4.43388i | 0.621005 | + | 0.783807i | ||||
\(33\) | 4.70108 | + | 0.744578i | 0.818354 | + | 0.129614i | ||||
\(34\) | −1.94908 | + | 1.34850i | −0.334265 | + | 0.231266i | ||||
\(35\) | 2.94272 | − | 1.48668i | 0.497411 | − | 0.251295i | ||||
\(36\) | 0.529625 | + | 1.92860i | 0.0882708 | + | 0.321433i | ||||
\(37\) | 1.10983 | + | 0.565484i | 0.182454 | + | 0.0929650i | 0.542832 | − | 0.839842i | \(-0.317352\pi\) |
−0.360378 | + | 0.932807i | \(0.617352\pi\) | |||||||
\(38\) | −4.76052 | − | 0.867029i | −0.772258 | − | 0.140651i | ||||
\(39\) | −1.73155 | + | 5.32918i | −0.277271 | + | 0.853351i | ||||
\(40\) | 2.45462 | + | 5.82879i | 0.388110 | + | 0.921613i | ||||
\(41\) | −1.73027 | − | 5.32522i | −0.270222 | − | 0.831659i | −0.990444 | − | 0.137915i | \(-0.955960\pi\) |
0.720222 | − | 0.693744i | \(-0.244040\pi\) | |||||||
\(42\) | −0.278587 | − | 2.06648i | −0.0429869 | − | 0.318864i | ||||
\(43\) | −2.44396 | + | 2.44396i | −0.372701 | + | 0.372701i | −0.868460 | − | 0.495759i | \(-0.834890\pi\) |
0.495759 | + | 0.868460i | \(0.334890\pi\) | |||||||
\(44\) | 3.35618 | − | 8.90811i | 0.505963 | − | 1.34295i | ||||
\(45\) | −0.00767928 | + | 2.23605i | −0.00114476 | + | 0.333331i | ||||
\(46\) | −3.73341 | + | 10.6478i | −0.550461 | + | 1.56993i | ||||
\(47\) | −0.899254 | − | 5.67766i | −0.131170 | − | 0.828172i | −0.962279 | − | 0.272064i | \(-0.912294\pi\) |
0.831110 | − | 0.556109i | \(-0.187706\pi\) | |||||||
\(48\) | 3.99161 | − | 0.258939i | 0.576139 | − | 0.0373747i | ||||
\(49\) | − | 4.82603i | − | 0.689433i | ||||||
\(50\) | 0.896569 | + | 7.01400i | 0.126794 | + | 0.991929i | ||||
\(51\) | 1.67591i | 0.234675i | ||||||||
\(52\) | 9.74003 | + | 5.54305i | 1.35070 | + | 0.768683i | ||||
\(53\) | −0.680800 | − | 4.29840i | −0.0935150 | − | 0.590431i | −0.989295 | − | 0.145932i | \(-0.953382\pi\) |
0.895780 | − | 0.444498i | \(-0.146618\pi\) | |||||||
\(54\) | 1.33456 | + | 0.467933i | 0.181610 | + | 0.0636776i | ||||
\(55\) | 6.28532 | − | 8.58881i | 0.847512 | − | 1.15812i | ||||
\(56\) | −4.16035 | − | 0.288460i | −0.555950 | − | 0.0385470i | ||||
\(57\) | −2.41941 | + | 2.41941i | −0.320459 | + | 0.320459i | ||||
\(58\) | 11.3710 | − | 1.53296i | 1.49309 | − | 0.201288i | ||||
\(59\) | 3.92044 | + | 12.0659i | 0.510398 | + | 1.57084i | 0.791502 | + | 0.611166i | \(0.209299\pi\) |
−0.281104 | + | 0.959677i | \(0.590701\pi\) | |||||||
\(60\) | 4.37697 | + | 0.917663i | 0.565065 | + | 0.118470i | ||||
\(61\) | 2.15405 | − | 6.62949i | 0.275798 | − | 0.848819i | −0.713209 | − | 0.700951i | \(-0.752759\pi\) |
0.989007 | − | 0.147867i | \(-0.0472409\pi\) | |||||||
\(62\) | 0.557518 | − | 3.06112i | 0.0708049 | − | 0.388762i | ||||
\(63\) | −1.31373 | − | 0.669381i | −0.165515 | − | 0.0843340i | ||||
\(64\) | 1.10406 | − | 7.92345i | 0.138007 | − | 0.990431i | ||||
\(65\) | 8.82932 | + | 8.89017i | 1.09514 | + | 1.10269i | ||||
\(66\) | −3.82980 | − | 5.53550i | −0.471416 | − | 0.681373i | ||||
\(67\) | −7.39906 | − | 1.17190i | −0.903939 | − | 0.143170i | −0.312875 | − | 0.949794i | \(-0.601292\pi\) |
−0.591064 | + | 0.806625i | \(0.701292\pi\) | |||||||
\(68\) | 3.28285 | + | 0.676511i | 0.398104 | + | 0.0820390i | ||||
\(69\) | 4.68966 | + | 6.45476i | 0.564568 | + | 0.777061i | ||||
\(70\) | −4.39463 | − | 1.55785i | −0.525259 | − | 0.186199i | ||||
\(71\) | 7.39857 | − | 10.1833i | 0.878049 | − | 1.20853i | −0.0989090 | − | 0.995096i | \(-0.531535\pi\) |
0.976958 | − | 0.213434i | \(-0.0684647\pi\) | |||||||
\(72\) | 1.45532 | − | 2.42529i | 0.171511 | − | 0.285823i | ||||
\(73\) | −9.08821 | + | 4.63068i | −1.06369 | + | 0.541980i | −0.896089 | − | 0.443874i | \(-0.853604\pi\) |
−0.167606 | + | 0.985854i | \(0.553604\pi\) | |||||||
\(74\) | −0.505542 | − | 1.68742i | −0.0587681 | − | 0.196159i | ||||
\(75\) | 4.43934 | + | 2.30050i | 0.512610 | + | 0.265639i | ||||
\(76\) | 3.76261 | + | 5.71588i | 0.431601 | + | 0.655657i | ||||
\(77\) | 3.18604 | + | 6.25296i | 0.363083 | + | 0.712590i | ||||
\(78\) | 7.14186 | − | 3.43375i | 0.808656 | − | 0.388796i | ||||
\(79\) | 7.49468 | + | 5.44520i | 0.843218 | + | 0.612633i | 0.923268 | − | 0.384157i | \(-0.125508\pi\) |
−0.0800501 | + | 0.996791i | \(0.525508\pi\) | |||||||
\(80\) | 3.56439 | − | 8.20336i | 0.398511 | − | 0.917163i | ||||
\(81\) | 0.809017 | − | 0.587785i | 0.0898908 | − | 0.0653095i | ||||
\(82\) | −3.75678 | + | 6.97066i | −0.414867 | + | 0.769780i | ||||
\(83\) | −0.974493 | + | 6.15271i | −0.106965 | + | 0.675348i | 0.874690 | + | 0.484682i | \(0.161065\pi\) |
−0.981655 | + | 0.190666i | \(0.938935\pi\) | |||||||
\(84\) | −1.84152 | + | 2.30319i | −0.200926 | + | 0.251298i | ||||
\(85\) | 3.33315 | + | 1.71277i | 0.361531 | + | 0.185776i | ||||
\(86\) | 4.88663 | + | 0.112778i | 0.526938 | + | 0.0121612i | ||||
\(87\) | 3.68335 | − | 7.22899i | 0.394897 | − | 0.775029i | ||||
\(88\) | −12.3891 | + | 5.26748i | −1.32068 | + | 0.561515i | ||||
\(89\) | 1.92856 | + | 0.626628i | 0.204427 | + | 0.0664225i | 0.409441 | − | 0.912337i | \(-0.365724\pi\) |
−0.205013 | + | 0.978759i | \(0.565724\pi\) | |||||||
\(90\) | 2.29455 | − | 2.17601i | 0.241867 | − | 0.229372i | ||||
\(91\) | −7.85754 | + | 2.55307i | −0.823694 | + | 0.267634i | ||||
\(92\) | 14.5369 | − | 6.58071i | 1.51558 | − | 0.686087i | ||||
\(93\) | −1.55574 | − | 1.55574i | −0.161322 | − | 0.161322i | ||||
\(94\) | −4.92889 | + | 6.46492i | −0.508376 | + | 0.666805i | ||||
\(95\) | 2.33924 | + | 7.28448i | 0.240001 | + | 0.747371i | ||||
\(96\) | −4.16329 | − | 3.82975i | −0.424914 | − | 0.390872i | ||||
\(97\) | −3.36367 | + | 0.532753i | −0.341529 | + | 0.0540929i | −0.324843 | − | 0.945768i | \(-0.605312\pi\) |
−0.0166860 | + | 0.999861i | \(0.505312\pi\) | |||||||
\(98\) | −4.93610 | + | 4.71340i | −0.498621 | + | 0.476125i | ||||
\(99\) | −4.75968 | −0.478366 | ||||||||
\(100\) | 6.29832 | − | 7.76731i | 0.629832 | − | 0.776731i | ||||
\(101\) | −13.7603 | −1.36920 | −0.684602 | − | 0.728917i | \(-0.740024\pi\) | ||||
−0.684602 | + | 0.728917i | \(0.740024\pi\) | |||||||
\(102\) | 1.71414 | − | 1.63680i | 0.169725 | − | 0.162067i | ||||
\(103\) | −6.04390 | + | 0.957260i | −0.595524 | + | 0.0943217i | −0.446918 | − | 0.894575i | \(-0.647478\pi\) |
−0.148606 | + | 0.988897i | \(0.547478\pi\) | |||||||
\(104\) | −3.84324 | − | 15.3759i | −0.376861 | − | 1.50773i | ||||
\(105\) | −2.67392 | + | 1.92872i | −0.260948 | + | 0.188224i | ||||
\(106\) | −3.73152 | + | 4.89440i | −0.362437 | + | 0.475387i | ||||
\(107\) | 8.72357 | + | 8.72357i | 0.843339 | + | 0.843339i | 0.989292 | − | 0.145953i | \(-0.0466247\pi\) |
−0.145953 | + | 0.989292i | \(0.546625\pi\) | |||||||
\(108\) | −0.824804 | − | 1.82200i | −0.0793668 | − | 0.175322i | ||||
\(109\) | −13.2840 | + | 4.31622i | −1.27237 | + | 0.413419i | −0.865888 | − | 0.500238i | \(-0.833246\pi\) |
−0.406486 | + | 0.913657i | \(0.633246\pi\) | |||||||
\(110\) | −14.9233 | + | 1.95969i | −1.42288 | + | 0.186849i | ||||
\(111\) | −1.18462 | − | 0.384907i | −0.112439 | − | 0.0365338i | ||||
\(112\) | 3.76821 | + | 4.53696i | 0.356063 | + | 0.428703i | ||||
\(113\) | 1.97483 | − | 3.87583i | 0.185777 | − | 0.364607i | −0.779269 | − | 0.626690i | \(-0.784409\pi\) |
0.965045 | + | 0.262083i | \(0.0844093\pi\) | |||||||
\(114\) | 4.83754 | + | 0.111645i | 0.453077 | + | 0.0104566i | ||||
\(115\) | 17.6303 | − | 2.73034i | 1.64404 | − | 0.254605i | ||||
\(116\) | −12.6736 | − | 10.1332i | −1.17671 | − | 0.940844i | ||||
\(117\) | 0.876569 | − | 5.53444i | 0.0810389 | − | 0.511659i | ||||
\(118\) | 8.51212 | − | 15.7941i | 0.783604 | − | 1.45397i | ||||
\(119\) | −1.99911 | + | 1.45244i | −0.183258 | + | 0.133145i | ||||
\(120\) | −3.33623 | − | 5.37304i | −0.304554 | − | 0.490489i | ||||
\(121\) | 9.42875 | + | 6.85039i | 0.857159 | + | 0.622763i | ||||
\(122\) | −8.88446 | + | 4.27158i | −0.804361 | + | 0.386731i | ||||
\(123\) | 2.54201 | + | 4.98898i | 0.229206 | + | 0.449841i | ||||
\(124\) | −3.67544 | + | 2.41944i | −0.330064 | + | 0.217272i | ||||
\(125\) | 9.11231 | − | 6.47810i | 0.815030 | − | 0.579419i | ||||
\(126\) | 0.598425 | + | 1.99745i | 0.0533120 | + | 0.177947i | ||||
\(127\) | 3.05770 | − | 1.55798i | 0.271327 | − | 0.138248i | −0.313034 | − | 0.949742i | \(-0.601345\pi\) |
0.584361 | + | 0.811494i | \(0.301345\pi\) | |||||||
\(128\) | −9.18245 | + | 6.60929i | −0.811621 | + | 0.584184i | ||||
\(129\) | 2.03155 | − | 2.79619i | 0.178868 | − | 0.246191i | ||||
\(130\) | 0.469677 | − | 17.7134i | 0.0411934 | − | 1.55357i | ||||
\(131\) | −4.34615 | − | 5.98196i | −0.379725 | − | 0.522646i | 0.575787 | − | 0.817600i | \(-0.304696\pi\) |
−0.955512 | + | 0.294954i | \(0.904696\pi\) | |||||||
\(132\) | −1.92132 | + | 9.32346i | −0.167230 | + | 0.811503i | ||||
\(133\) | −4.98278 | − | 0.789194i | −0.432062 | − | 0.0684318i | ||||
\(134\) | 6.02775 | + | 8.71235i | 0.520718 | + | 0.752632i | ||||
\(135\) | −0.342211 | − | 2.20973i | −0.0294529 | − | 0.190183i | ||||
\(136\) | −2.51429 | − | 4.01844i | −0.215599 | − | 0.344578i | ||||
\(137\) | 10.0977 | + | 5.14506i | 0.862708 | + | 0.439572i | 0.828597 | − | 0.559846i | \(-0.189140\pi\) |
0.0341118 | + | 0.999418i | \(0.489140\pi\) | |||||||
\(138\) | 2.02176 | − | 11.1007i | 0.172104 | − | 0.944956i | ||||
\(139\) | −4.52482 | + | 13.9260i | −0.383791 | + | 1.18119i | 0.553563 | + | 0.832807i | \(0.313268\pi\) |
−0.937354 | + | 0.348379i | \(0.886732\pi\) | |||||||
\(140\) | 2.69869 | + | 6.01635i | 0.228081 | + | 0.508474i | ||||
\(141\) | 1.77636 | + | 5.46709i | 0.149597 | + | 0.460412i | ||||
\(142\) | −17.6414 | + | 2.37828i | −1.48043 | + | 0.199581i | ||||
\(143\) | −18.8589 | + | 18.8589i | −1.57706 | + | 1.57706i | ||||
\(144\) | −3.90196 | + | 0.880177i | −0.325163 | + | 0.0733481i | ||||
\(145\) | −10.6130 | − | 14.7136i | −0.881365 | − | 1.22190i | ||||
\(146\) | 13.6124 | + | 4.77288i | 1.12657 | + | 0.395007i | ||||
\(147\) | 0.754958 | + | 4.76662i | 0.0622679 | + | 0.393144i | ||||
\(148\) | −1.23216 | + | 2.16511i | −0.101283 | + | 0.177971i | ||||
\(149\) | − | 7.25270i | − | 0.594165i | −0.954852 | − | 0.297082i | \(-0.903986\pi\) | ||
0.954852 | − | 0.297082i | \(-0.0960136\pi\) | |||||||
\(150\) | −1.98276 | − | 6.78739i | −0.161892 | − | 0.554188i | ||||
\(151\) | − | 8.89011i | − | 0.723467i | −0.932282 | − | 0.361733i | \(-0.882185\pi\) | ||
0.932282 | − | 0.361733i | \(-0.117815\pi\) | |||||||
\(152\) | 2.17145 | − | 9.43090i | 0.176128 | − | 0.764947i | ||||
\(153\) | −0.262171 | − | 1.65528i | −0.0211953 | − | 0.133822i | ||||
\(154\) | 3.28388 | − | 9.36572i | 0.264623 | − | 0.754711i | ||||
\(155\) | −4.68408 | + | 1.50418i | −0.376234 | + | 0.120819i | ||||
\(156\) | −10.4872 | − | 3.95113i | −0.839651 | − | 0.316343i | ||||
\(157\) | −3.13469 | + | 3.13469i | −0.250175 | + | 0.250175i | −0.821043 | − | 0.570867i | \(-0.806607\pi\) |
0.570867 | + | 0.821043i | \(0.306607\pi\) | |||||||
\(158\) | −1.75037 | − | 12.9837i | −0.139252 | − | 1.03293i | ||||
\(159\) | 1.34484 | + | 4.13898i | 0.106652 | + | 0.328242i | ||||
\(160\) | −11.8717 | + | 4.36622i | −0.938537 | + | 0.345180i | ||||
\(161\) | −3.63522 | + | 11.1881i | −0.286496 | + | 0.881743i | ||||
\(162\) | −1.39133 | − | 0.253401i | −0.109313 | − | 0.0199091i | ||||
\(163\) | −3.54660 | − | 1.80708i | −0.277791 | − | 0.141542i | 0.309545 | − | 0.950885i | \(-0.399823\pi\) |
−0.587336 | + | 0.809343i | \(0.699823\pi\) | |||||||
\(164\) | 10.7987 | − | 2.96551i | 0.843240 | − | 0.231567i | ||||
\(165\) | −4.86435 | + | 9.46631i | −0.378689 | + | 0.736951i | ||||
\(166\) | 7.24478 | − | 5.01239i | 0.562304 | − | 0.389037i | ||||
\(167\) | −20.0096 | − | 3.16922i | −1.54839 | − | 0.245241i | −0.677058 | − | 0.735930i | \(-0.736745\pi\) |
−0.871335 | + | 0.490689i | \(0.836745\pi\) | |||||||
\(168\) | 4.15426 | − | 0.365914i | 0.320508 | − | 0.0282309i | ||||
\(169\) | −10.8143 | − | 14.8846i | −0.831871 | − | 1.14497i | ||||
\(170\) | −1.50353 | − | 5.08196i | −0.115315 | − | 0.389769i | ||||
\(171\) | 2.01115 | − | 2.76811i | 0.153796 | − | 0.211682i | ||||
\(172\) | −4.65723 | − | 5.10822i | −0.355110 | − | 0.389498i | ||||
\(173\) | 6.81344 | − | 3.47162i | 0.518016 | − | 0.263943i | −0.175377 | − | 0.984501i | \(-0.556115\pi\) |
0.693394 | + | 0.720559i | \(0.256115\pi\) | |||||||
\(174\) | −10.9912 | + | 3.29291i | −0.833244 | + | 0.249635i | ||||
\(175\) | 1.10322 | + | 7.28917i | 0.0833959 | + | 0.551010i | ||||
\(176\) | 17.4876 | + | 7.52714i | 1.31818 | + | 0.567379i | ||||
\(177\) | −5.75969 | − | 11.3040i | −0.432925 | − | 0.849663i | ||||
\(178\) | −1.24263 | − | 2.58455i | −0.0931393 | − | 0.193720i | ||||
\(179\) | 13.4766 | + | 9.79134i | 1.00729 | + | 0.731839i | 0.963639 | − | 0.267208i | \(-0.0861011\pi\) |
0.0436509 | + | 0.999047i | \(0.486101\pi\) | |||||||
\(180\) | −4.46664 | − | 0.221656i | −0.332924 | − | 0.0165212i | ||||
\(181\) | 14.3280 | − | 10.4099i | 1.06499 | − | 0.773762i | 0.0899867 | − | 0.995943i | \(-0.471318\pi\) |
0.975005 | + | 0.222181i | \(0.0713176\pi\) | |||||||
\(182\) | 10.2854 | + | 5.54326i | 0.762408 | + | 0.410894i | ||||
\(183\) | −1.09045 | + | 6.88483i | −0.0806084 | + | 0.508942i | ||||
\(184\) | −20.9284 | − | 8.44130i | −1.54286 | − | 0.622301i | ||||
\(185\) | −1.97620 | + | 1.96267i | −0.145293 | + | 0.144298i | ||||
\(186\) | −0.0717904 | + | 3.11064i | −0.00526393 | + | 0.228083i | ||||
\(187\) | −3.62140 | + | 7.10740i | −0.264823 | + | 0.519745i | ||||
\(188\) | 11.4262 | − | 1.27273i | 0.833342 | − | 0.0928236i | ||||
\(189\) | 1.40227 | + | 0.455626i | 0.102000 | + | 0.0331419i | ||||
\(190\) | 5.16596 | − | 9.50706i | 0.374778 | − | 0.689714i | ||||
\(191\) | 9.15141 | − | 2.97347i | 0.662173 | − | 0.215153i | 0.0413989 | − | 0.999143i | \(-0.486819\pi\) |
0.620774 | + | 0.783990i | \(0.286819\pi\) | |||||||
\(192\) | 0.149034 | + | 7.99861i | 0.0107556 | + | 0.577250i | ||||
\(193\) | −8.11384 | − | 8.11384i | −0.584047 | − | 0.584047i | 0.351966 | − | 0.936013i | \(-0.385513\pi\) |
−0.936013 | + | 0.351966i | \(0.885513\pi\) | |||||||
\(194\) | 3.83007 | + | 2.92007i | 0.274983 | + | 0.209649i | ||||
\(195\) | −10.1113 | − | 7.39951i | −0.724089 | − | 0.529890i | ||||
\(196\) | 9.64179 | + | 0.445282i | 0.688699 | + | 0.0318059i | ||||
\(197\) | 2.15209 | − | 0.340857i | 0.153330 | − | 0.0242851i | −0.0792975 | − | 0.996851i | \(-0.525268\pi\) |
0.232628 | + | 0.972566i | \(0.425268\pi\) | |||||||
\(198\) | 4.64860 | + | 4.86824i | 0.330361 | + | 0.345970i | ||||
\(199\) | −9.69051 | −0.686942 | −0.343471 | − | 0.939163i | \(-0.611603\pi\) | ||||
−0.343471 | + | 0.939163i | \(0.611603\pi\) | |||||||
\(200\) | −14.0958 | + | 1.14407i | −0.996722 | + | 0.0808979i | ||||
\(201\) | 7.49129 | 0.528395 | ||||||||
\(202\) | 13.4392 | + | 14.0742i | 0.945577 | + | 0.990254i | ||||
\(203\) | 11.8152 | − | 1.87135i | 0.829268 | − | 0.131343i | ||||
\(204\) | −3.34826 | − | 0.154631i | −0.234425 | − | 0.0108263i | ||||
\(205\) | 12.5203 | + | 0.0429983i | 0.874453 | + | 0.00300313i | ||||
\(206\) | 6.88194 | + | 5.24683i | 0.479487 | + | 0.365564i | ||||
\(207\) | −5.64166 | − | 5.64166i | −0.392123 | − | 0.392123i | ||||
\(208\) | −11.9730 | + | 18.9479i | −0.830177 | + | 1.31380i | ||||
\(209\) | −15.4885 | + | 5.03252i | −1.07136 | + | 0.348107i | ||||
\(210\) | 4.58423 | + | 0.851197i | 0.316342 | + | 0.0587382i | ||||
\(211\) | 23.4844 | + | 7.63053i | 1.61673 | + | 0.525308i | 0.971167 | − | 0.238399i | \(-0.0766227\pi\) |
0.645563 | + | 0.763707i | \(0.276623\pi\) | |||||||
\(212\) | 8.65046 | − | 0.963550i | 0.594116 | − | 0.0661769i | ||||
\(213\) | −5.71447 | + | 11.2153i | −0.391549 | + | 0.768458i | ||||
\(214\) | 0.402555 | − | 17.4425i | 0.0275181 | − | 1.19234i | ||||
\(215\) | −3.48499 | − | 6.89815i | −0.237674 | − | 0.470450i | ||||
\(216\) | −1.05800 | + | 2.62310i | −0.0719880 | + | 0.178479i | ||||
\(217\) | 0.507469 | − | 3.20403i | 0.0344493 | − | 0.217504i | ||||
\(218\) | 17.3886 | + | 9.37144i | 1.17770 | + | 0.634714i | ||||
\(219\) | 8.25193 | − | 5.99537i | 0.557613 | − | 0.405130i | ||||
\(220\) | 16.5794 | + | 13.3497i | 1.11778 | + | 0.900037i | ||||
\(221\) | −7.59737 | − | 5.51981i | −0.511055 | − | 0.371303i | ||||
\(222\) | 0.763289 | + | 1.58756i | 0.0512286 | + | 0.106550i | ||||
\(223\) | −8.96950 | − | 17.6036i | −0.600642 | − | 1.17883i | −0.968516 | − | 0.248951i | \(-0.919914\pi\) |
0.367874 | − | 0.929876i | \(-0.380086\pi\) | |||||||
\(224\) | 0.960167 | − | 8.28523i | 0.0641539 | − | 0.553580i | ||||
\(225\) | −4.74456 | − | 1.57771i | −0.316304 | − | 0.105181i | ||||
\(226\) | −5.89296 | + | 1.76550i | −0.391994 | + | 0.117439i | ||||
\(227\) | −0.147478 | + | 0.0751436i | −0.00978843 | + | 0.00498746i | −0.458878 | − | 0.888499i | \(-0.651748\pi\) |
0.449089 | + | 0.893487i | \(0.351748\pi\) | |||||||
\(228\) | −4.61044 | − | 5.05691i | −0.305334 | − | 0.334902i | ||||
\(229\) | 4.40665 | − | 6.06523i | 0.291200 | − | 0.400802i | −0.638204 | − | 0.769867i | \(-0.720322\pi\) |
0.929403 | + | 0.369066i | \(0.120322\pi\) | |||||||
\(230\) | −20.0115 | − | 15.3658i | −1.31952 | − | 1.01319i | ||||
\(231\) | −4.12499 | − | 5.67756i | −0.271405 | − | 0.373556i | ||||
\(232\) | 2.01349 | + | 22.8593i | 0.132192 | + | 1.50079i | ||||
\(233\) | 10.5449 | + | 1.67016i | 0.690822 | + | 0.109415i | 0.491968 | − | 0.870614i | \(-0.336278\pi\) |
0.198855 | + | 0.980029i | \(0.436278\pi\) | |||||||
\(234\) | −6.51677 | + | 4.50871i | −0.426015 | + | 0.294744i | ||||
\(235\) | 12.6887 | + | 2.05438i | 0.827717 | + | 0.134013i | ||||
\(236\) | −24.4678 | + | 6.71925i | −1.59272 | + | 0.437386i | ||||
\(237\) | −8.25423 | − | 4.20574i | −0.536170 | − | 0.273192i | ||||
\(238\) | 3.43801 | + | 0.626162i | 0.222853 | + | 0.0405881i | ||||
\(239\) | 6.87021 | − | 21.1443i | 0.444397 | − | 1.36771i | −0.438746 | − | 0.898611i | \(-0.644577\pi\) |
0.883143 | − | 0.469103i | \(-0.155423\pi\) | |||||||
\(240\) | −2.23722 | + | 8.65996i | −0.144412 | + | 0.558998i | ||||
\(241\) | 6.30289 | + | 19.3983i | 0.406005 | + | 1.24956i | 0.920053 | + | 0.391794i | \(0.128145\pi\) |
−0.514048 | + | 0.857761i | \(0.671855\pi\) | |||||||
\(242\) | −2.20207 | − | 16.3343i | −0.141554 | − | 1.05001i | ||||
\(243\) | −0.707107 | + | 0.707107i | −0.0453609 | + | 0.0453609i | ||||
\(244\) | 13.0461 | + | 4.91519i | 0.835191 | + | 0.314663i | ||||
\(245\) | 10.2517 | + | 3.36993i | 0.654955 | + | 0.215297i | ||||
\(246\) | 2.62008 | − | 7.47253i | 0.167050 | − | 0.476431i | ||||
\(247\) | −2.99924 | − | 18.9365i | −0.190837 | − | 1.20490i | ||||
\(248\) | 6.06427 | + | 1.39629i | 0.385082 | + | 0.0886644i | ||||
\(249\) | − | 6.22940i | − | 0.394772i | ||||||
\(250\) | −15.5255 | − | 2.99322i | −0.981918 | − | 0.189308i | ||||
\(251\) | − | 18.0233i | − | 1.13762i | −0.822468 | − | 0.568811i | \(-0.807403\pi\) | ||
0.822468 | − | 0.568811i | \(-0.192597\pi\) | |||||||
\(252\) | 1.45855 | − | 2.56291i | 0.0918800 | − | 0.161448i | ||||
\(253\) | 5.94063 | + | 37.5077i | 0.373484 | + | 2.35809i | ||||
\(254\) | −4.57984 | − | 1.60582i | −0.287365 | − | 0.100758i | ||||
\(255\) | −3.56005 | − | 1.17026i | −0.222939 | − | 0.0732846i | ||||
\(256\) | 15.7282 | + | 2.93684i | 0.983010 | + | 0.183552i | ||||
\(257\) | −1.16576 | + | 1.16576i | −0.0727178 | + | 0.0727178i | −0.742530 | − | 0.669812i | \(-0.766374\pi\) |
0.669812 | + | 0.742530i | \(0.266374\pi\) | |||||||
\(258\) | −4.84411 | + | 0.653047i | −0.301581 | + | 0.0406569i | ||||
\(259\) | −0.567522 | − | 1.74665i | −0.0352641 | − | 0.108532i | ||||
\(260\) | −18.5761 | + | 16.8196i | −1.15204 | + | 1.04311i | ||||
\(261\) | −2.50714 | + | 7.71619i | −0.155188 | + | 0.477620i | ||||
\(262\) | −1.87367 | + | 10.2876i | −0.115756 | + | 0.635571i | ||||
\(263\) | 22.7301 | + | 11.5815i | 1.40160 | + | 0.714149i | 0.981164 | − | 0.193176i | \(-0.0618787\pi\) |
0.420431 | + | 0.907324i | \(0.361879\pi\) | |||||||
\(264\) | 11.4126 | − | 7.14071i | 0.702395 | − | 0.439480i | ||||
\(265\) | 9.60623 | + | 1.55531i | 0.590106 | + | 0.0955422i | ||||
\(266\) | 4.05929 | + | 5.86719i | 0.248891 | + | 0.359741i | ||||
\(267\) | −2.00285 | − | 0.317220i | −0.122572 | − | 0.0194135i | ||||
\(268\) | 3.02398 | − | 14.6742i | 0.184719 | − | 0.896371i | ||||
\(269\) | 14.4616 | + | 19.9047i | 0.881740 | + | 1.21361i | 0.975936 | + | 0.218057i | \(0.0699720\pi\) |
−0.0941958 | + | 0.995554i | \(0.530028\pi\) | |||||||
\(270\) | −1.92590 | + | 2.50817i | −0.117206 | + | 0.152642i | ||||
\(271\) | −0.554963 | + | 0.763841i | −0.0337116 | + | 0.0464000i | −0.825540 | − | 0.564344i | \(-0.809129\pi\) |
0.791828 | + | 0.610744i | \(0.209129\pi\) | |||||||
\(272\) | −1.65448 | + | 6.49629i | −0.100318 | + | 0.393895i | ||||
\(273\) | 7.36141 | − | 3.75083i | 0.445533 | − | 0.227010i | ||||
\(274\) | −4.59967 | − | 15.3530i | −0.277876 | − | 0.927509i | ||||
\(275\) | 13.8558 | + | 19.3489i | 0.835535 | + | 1.16679i | ||||
\(276\) | −13.3285 | + | 8.77377i | −0.802280 | + | 0.528119i | ||||
\(277\) | −5.23893 | − | 10.2820i | −0.314777 | − | 0.617784i | 0.678362 | − | 0.734728i | \(-0.262690\pi\) |
−0.993139 | + | 0.116944i | \(0.962690\pi\) | |||||||
\(278\) | 18.6628 | − | 8.97294i | 1.11932 | − | 0.538161i | ||||
\(279\) | 1.77995 | + | 1.29321i | 0.106563 | + | 0.0774225i | ||||
\(280\) | 3.51786 | − | 8.63616i | 0.210232 | − | 0.516110i | ||||
\(281\) | 4.14505 | − | 3.01155i | 0.247273 | − | 0.179654i | −0.457244 | − | 0.889341i | \(-0.651164\pi\) |
0.704517 | + | 0.709687i | \(0.251164\pi\) | |||||||
\(282\) | 3.85687 | − | 7.15637i | 0.229673 | − | 0.426156i | ||||
\(283\) | −1.43610 | + | 9.06715i | −0.0853670 | + | 0.538986i | 0.907528 | + | 0.419992i | \(0.137967\pi\) |
−0.992895 | + | 0.118994i | \(0.962033\pi\) | |||||||
\(284\) | 19.6622 | + | 15.7210i | 1.16674 | + | 0.932867i | ||||
\(285\) | −3.44999 | − | 6.82885i | −0.204359 | − | 0.404506i | ||||
\(286\) | 37.7078 | + | 0.870257i | 2.22971 | + | 0.0514594i | ||||
\(287\) | −3.74804 | + | 7.35594i | −0.221240 | + | 0.434207i | ||||
\(288\) | 4.71114 | + | 3.13132i | 0.277607 | + | 0.184515i | ||||
\(289\) | 13.4967 | + | 4.38536i | 0.793926 | + | 0.257962i | ||||
\(290\) | −4.68382 | + | 25.2253i | −0.275043 | + | 1.48128i | ||||
\(291\) | 3.23892 | − | 1.05239i | 0.189869 | − | 0.0616921i | ||||
\(292\) | −8.41295 | − | 18.5843i | −0.492331 | − | 1.08757i | ||||
\(293\) | −20.8580 | − | 20.8580i | −1.21854 | − | 1.21854i | −0.968145 | − | 0.250392i | \(-0.919441\pi\) |
−0.250392 | − | 0.968145i | \(-0.580559\pi\) | |||||||
\(294\) | 4.13799 | − | 5.42754i | 0.241332 | − | 0.316541i | ||||
\(295\) | −28.3684 | − | 0.0974256i | −1.65167 | − | 0.00567234i | ||||
\(296\) | 3.41790 | − | 0.854314i | 0.198661 | − | 0.0496560i | ||||
\(297\) | 4.70108 | − | 0.744578i | 0.272785 | − | 0.0432048i | ||||
\(298\) | −7.41811 | + | 7.08343i | −0.429720 | + | 0.410332i | ||||
\(299\) | −44.7071 | −2.58548 | ||||||||
\(300\) | −5.00570 | + | 8.65696i | −0.289004 | + | 0.499810i | ||||
\(301\) | 5.09608 | 0.293733 | ||||||||
\(302\) | −9.09286 | + | 8.68262i | −0.523235 | + | 0.499629i | ||||
\(303\) | 13.5909 | − | 2.15259i | 0.780777 | − | 0.123663i | ||||
\(304\) | −11.7668 | + | 6.98982i | −0.674870 | + | 0.400894i | ||||
\(305\) | 12.5785 | + | 9.20498i | 0.720242 | + | 0.527075i | ||||
\(306\) | −1.43698 | + | 1.88480i | −0.0821467 | + | 0.107747i | ||||
\(307\) | −1.07224 | − | 1.07224i | −0.0611962 | − | 0.0611962i | 0.675846 | − | 0.737043i | \(-0.263778\pi\) |
−0.737043 | + | 0.675846i | \(0.763778\pi\) | |||||||
\(308\) | −12.7866 | + | 5.78836i | −0.728582 | + | 0.329822i | ||||
\(309\) | 5.81975 | − | 1.89095i | 0.331074 | − | 0.107572i | ||||
\(310\) | 6.11324 | + | 3.32183i | 0.347209 | + | 0.188667i | ||||
\(311\) | 0.0825240 | + | 0.0268137i | 0.00467951 | + | 0.00152046i | 0.311356 | − | 0.950293i | \(-0.399217\pi\) |
−0.306676 | + | 0.951814i | \(0.599217\pi\) | |||||||
\(312\) | 6.20124 | + | 14.5853i | 0.351076 | + | 0.825732i | ||||
\(313\) | −10.0594 | + | 19.7428i | −0.568593 | + | 1.11593i | 0.410375 | + | 0.911917i | \(0.365398\pi\) |
−0.978969 | + | 0.204011i | \(0.934602\pi\) | |||||||
\(314\) | 6.26771 | + | 0.144652i | 0.353707 | + | 0.00816320i | ||||
\(315\) | 2.33928 | − | 2.32327i | 0.131804 | − | 0.130901i | ||||
\(316\) | −11.5703 | + | 14.4710i | −0.650882 | + | 0.814057i | ||||
\(317\) | 4.98965 | − | 31.5034i | 0.280247 | − | 1.76941i | −0.298998 | − | 0.954254i | \(-0.596652\pi\) |
0.579244 | − | 0.815154i | \(-0.303348\pi\) | |||||||
\(318\) | 2.91993 | − | 5.41789i | 0.163741 | − | 0.303820i | ||||
\(319\) | 31.2415 | − | 22.6983i | 1.74919 | − | 1.27086i | ||||
\(320\) | 16.0604 | + | 7.87809i | 0.897802 | + | 0.440399i | ||||
\(321\) | −9.98083 | − | 7.25150i | −0.557076 | − | 0.404739i | ||||
\(322\) | 14.9936 | − | 7.20882i | 0.835561 | − | 0.401732i | ||||
\(323\) | −2.60330 | − | 5.10926i | −0.144851 | − | 0.284287i | ||||
\(324\) | 1.09967 | + | 1.67054i | 0.0610930 | + | 0.0928080i | ||||
\(325\) | −25.0502 | + | 12.5478i | −1.38954 | + | 0.696024i | ||||
\(326\) | 1.61553 | + | 5.39239i | 0.0894759 | + | 0.298657i | ||||
\(327\) | 12.4452 | − | 6.34115i | 0.688222 | − | 0.350667i | ||||
\(328\) | −13.5798 | − | 8.14872i | −0.749822 | − | 0.449938i | ||||
\(329\) | −4.98190 | + | 6.85700i | −0.274661 | + | 0.378038i | ||||
\(330\) | 14.4330 | − | 4.27009i | 0.794512 | − | 0.235061i | ||||
\(331\) | −11.2987 | − | 15.5513i | −0.621031 | − | 0.854776i | 0.376396 | − | 0.926459i | \(-0.377163\pi\) |
−0.997428 | + | 0.0716824i | \(0.977163\pi\) | |||||||
\(332\) | −12.2024 | − | 2.51460i | −0.669694 | − | 0.138007i | ||||
\(333\) | 1.23025 | + | 0.194853i | 0.0674173 | + | 0.0106779i | ||||
\(334\) | 16.3011 | + | 23.5612i | 0.891959 | + | 1.28921i | ||||
\(335\) | 7.65602 | − | 14.8991i | 0.418293 | − | 0.814023i | ||||
\(336\) | −4.43156 | − | 3.89163i | −0.241761 | − | 0.212306i | ||||
\(337\) | 12.8547 | + | 6.54977i | 0.700238 | + | 0.356789i | 0.767591 | − | 0.640940i | \(-0.221455\pi\) |
−0.0673530 | + | 0.997729i | \(0.521455\pi\) | |||||||
\(338\) | −4.66218 | + | 25.5982i | −0.253589 | + | 1.39236i | ||||
\(339\) | −1.34421 | + | 4.13704i | −0.0730072 | + | 0.224693i | ||||
\(340\) | −3.72943 | + | 6.50117i | −0.202257 | + | 0.352575i | ||||
\(341\) | −3.23602 | − | 9.95944i | −0.175240 | − | 0.539334i | ||||
\(342\) | −4.79545 | + | 0.646487i | −0.259308 | + | 0.0349580i | ||||
\(343\) | −12.3296 | + | 12.3296i | −0.665738 | + | 0.665738i | ||||
\(344\) | −0.676189 | + | 9.75244i | −0.0364577 | + | 0.525816i | ||||
\(345\) | −16.9862 | + | 5.45472i | −0.914504 | + | 0.293672i | ||||
\(346\) | −10.2052 | − | 3.57824i | −0.548636 | − | 0.192367i | ||||
\(347\) | −0.544569 | − | 3.43827i | −0.0292340 | − | 0.184576i | 0.968750 | − | 0.248038i | \(-0.0797858\pi\) |
−0.997984 | + | 0.0634620i | \(0.979786\pi\) | |||||||
\(348\) | 14.1027 | + | 8.02586i | 0.755985 | + | 0.430231i | ||||
\(349\) | − | 1.06294i | − | 0.0568981i | −0.999595 | − | 0.0284490i | \(-0.990943\pi\) | ||
0.999595 | − | 0.0284490i | \(-0.00905683\pi\) | |||||||
\(350\) | 6.37794 | − | 8.24744i | 0.340915 | − | 0.440844i | ||||
\(351\) | 5.60343i | 0.299089i | ||||||||
\(352\) | −9.38063 | − | 25.2379i | −0.499990 | − | 1.34518i | ||||
\(353\) | −3.21923 | − | 20.3254i | −0.171342 | − | 1.08181i | −0.912078 | − | 0.410017i | \(-0.865523\pi\) |
0.740736 | − | 0.671797i | \(-0.234477\pi\) | |||||||
\(354\) | −5.93657 | + | 16.9313i | −0.315525 | + | 0.899886i | ||||
\(355\) | 16.4654 | + | 22.8271i | 0.873893 | + | 1.21154i | ||||
\(356\) | −1.42986 | + | 3.79520i | −0.0757827 | + | 0.201145i | ||||
\(357\) | 1.74728 | − | 1.74728i | 0.0924760 | − | 0.0924760i | ||||
\(358\) | −3.14744 | − | 23.3468i | −0.166348 | − | 1.23392i | ||||
\(359\) | −5.08507 | − | 15.6502i | −0.268380 | − | 0.825988i | −0.990895 | − | 0.134633i | \(-0.957014\pi\) |
0.722516 | − | 0.691354i | \(-0.242986\pi\) | |||||||
\(360\) | 4.13568 | + | 4.78499i | 0.217970 | + | 0.252191i | ||||
\(361\) | −2.25362 | + | 6.93593i | −0.118612 | + | 0.365049i | ||||
\(362\) | −24.6409 | − | 4.48783i | −1.29510 | − | 0.235875i | ||||
\(363\) | −10.3843 | − | 5.29107i | −0.545035 | − | 0.277709i | ||||
\(364\) | −4.37571 | − | 15.9339i | −0.229350 | − | 0.835164i | ||||
\(365\) | −3.49054 | − | 22.5391i | −0.182703 | − | 1.17975i | ||||
\(366\) | 8.10685 | − | 5.60883i | 0.423752 | − | 0.293178i | ||||
\(367\) | −18.7851 | − | 2.97526i | −0.980573 | − | 0.155307i | −0.354486 | − | 0.935061i | \(-0.615344\pi\) |
−0.626086 | + | 0.779754i | \(0.715344\pi\) | |||||||
\(368\) | 11.8061 | + | 29.6500i | 0.615438 | + | 1.54561i | ||||
\(369\) | −3.29116 | − | 4.52990i | −0.171331 | − | 0.235817i | ||||
\(370\) | 3.93750 | + | 0.104404i | 0.204701 | + | 0.00542773i | ||||
\(371\) | −3.77165 | + | 5.19124i | −0.195815 | + | 0.269516i | ||||
\(372\) | 3.25170 | − | 2.96462i | 0.168593 | − | 0.153708i | ||||
\(373\) | 0.521594 | − | 0.265765i | 0.0270071 | − | 0.0137608i | −0.440435 | − | 0.897785i | \(-0.645176\pi\) |
0.467442 | + | 0.884024i | \(0.345176\pi\) | |||||||
\(374\) | 10.8064 | − | 3.23753i | 0.558785 | − | 0.167409i | ||||
\(375\) | −7.98672 | + | 7.82382i | −0.412433 | + | 0.404021i | ||||
\(376\) | −12.4613 | − | 10.4438i | −0.642642 | − | 0.538597i | ||||
\(377\) | 20.6394 | + | 40.5071i | 1.06298 | + | 2.08622i | ||||
\(378\) | −0.903528 | − | 1.87925i | −0.0464725 | − | 0.0966580i | ||||
\(379\) | −4.02282 | − | 2.92275i | −0.206639 | − | 0.150132i | 0.479653 | − | 0.877458i | \(-0.340763\pi\) |
−0.686292 | + | 0.727327i | \(0.740763\pi\) | |||||||
\(380\) | −14.7693 | + | 4.00139i | −0.757648 | + | 0.205267i | ||||
\(381\) | −2.77633 | + | 2.01712i | −0.142236 | + | 0.103340i | ||||
\(382\) | −11.9791 | − | 6.45605i | −0.612905 | − | 0.330320i | ||||
\(383\) | 2.89726 | − | 18.2926i | 0.148043 | − | 0.934708i | −0.796098 | − | 0.605167i | \(-0.793106\pi\) |
0.944141 | − | 0.329540i | \(-0.106894\pi\) | |||||||
\(384\) | 8.03548 | − | 7.96437i | 0.410059 | − | 0.406430i | ||||
\(385\) | −15.5075 | + | 2.40159i | −0.790338 | + | 0.122396i | ||||
\(386\) | −0.374419 | + | 16.2234i | −0.0190574 | + | 0.825748i | ||||
\(387\) | −1.56912 | + | 3.07957i | −0.0797629 | + | 0.156544i | ||||
\(388\) | −0.754017 | − | 6.76934i | −0.0382794 | − | 0.343661i | ||||
\(389\) | −14.1818 | − | 4.60795i | −0.719046 | − | 0.233632i | −0.0734363 | − | 0.997300i | \(-0.523397\pi\) |
−0.645609 | + | 0.763668i | \(0.723397\pi\) | |||||||
\(390\) | 2.30709 | + | 17.5688i | 0.116824 | + | 0.889629i | ||||
\(391\) | −12.7169 | + | 4.13196i | −0.643120 | + | 0.208962i | ||||
\(392\) | −8.96132 | − | 10.2966i | −0.452615 | − | 0.520056i | ||||
\(393\) | 5.22842 | + | 5.22842i | 0.263739 | + | 0.263739i | ||||
\(394\) | −2.45049 | − | 1.86827i | −0.123454 | − | 0.0941220i | ||||
\(395\) | −16.8003 | + | 12.1182i | −0.845317 | + | 0.609734i | ||||
\(396\) | 0.439160 | − | 9.50923i | 0.0220686 | − | 0.477857i | ||||
\(397\) | 17.2952 | − | 2.73929i | 0.868021 | − | 0.137481i | 0.293488 | − | 0.955963i | \(-0.405184\pi\) |
0.574533 | + | 0.818482i | \(0.305184\pi\) | |||||||
\(398\) | 9.46434 | + | 9.91152i | 0.474405 | + | 0.496819i | ||||
\(399\) | 5.04489 | 0.252560 | ||||||||
\(400\) | 14.9370 | + | 13.2999i | 0.746848 | + | 0.664995i | ||||
\(401\) | −23.4783 | −1.17245 | −0.586226 | − | 0.810147i | \(-0.699387\pi\) | ||||
−0.586226 | + | 0.810147i | \(0.699387\pi\) | |||||||
\(402\) | −7.31645 | − | 7.66214i | −0.364911 | − | 0.382153i | ||||
\(403\) | 12.1766 | − | 1.92858i | 0.606558 | − | 0.0960693i | ||||
\(404\) | 1.26962 | − | 27.4913i | 0.0631660 | − | 1.36775i | ||||
\(405\) | 0.683675 | + | 2.12899i | 0.0339721 | + | 0.105790i | ||||
\(406\) | −13.4535 | − | 10.2570i | −0.667687 | − | 0.509048i | ||||
\(407\) | −4.19215 | − | 4.19215i | −0.207797 | − | 0.207797i | ||||
\(408\) | 3.11196 | + | 3.57565i | 0.154065 | + | 0.177021i | ||||
\(409\) | 36.3503 | − | 11.8109i | 1.79741 | − | 0.584014i | 0.797593 | − | 0.603196i | \(-0.206106\pi\) |
0.999816 | + | 0.0191827i | \(0.00610643\pi\) | |||||||
\(410\) | −12.1841 | − | 12.8478i | −0.601728 | − | 0.634507i | ||||
\(411\) | −10.7783 | − | 3.50208i | −0.531654 | − | 0.172745i | ||||
\(412\) | −1.35483 | − | 12.1633i | −0.0667477 | − | 0.599241i | ||||
\(413\) | 8.49231 | − | 16.6671i | 0.417879 | − | 0.820134i | ||||
\(414\) | −0.260338 | + | 11.2803i | −0.0127949 | + | 0.554398i | ||||
\(415\) | −12.3894 | − | 6.36639i | −0.608170 | − | 0.312514i | ||||
\(416\) | 31.0736 | − | 6.25962i | 1.52351 | − | 0.306903i | ||||
\(417\) | 2.29061 | − | 14.4624i | 0.112172 | − | 0.708225i | ||||
\(418\) | 20.2743 | + | 10.9267i | 0.991649 | + | 0.534441i | ||||
\(419\) | 8.44580 | − | 6.13623i | 0.412604 | − | 0.299775i | −0.362051 | − | 0.932158i | \(-0.617923\pi\) |
0.774655 | + | 0.632384i | \(0.217923\pi\) | |||||||
\(420\) | −3.60662 | − | 5.52011i | −0.175985 | − | 0.269354i | ||||
\(421\) | 3.57920 | + | 2.60044i | 0.174439 | + | 0.126738i | 0.671579 | − | 0.740933i | \(-0.265616\pi\) |
−0.497140 | + | 0.867671i | \(0.665616\pi\) | |||||||
\(422\) | −15.1317 | − | 31.4724i | −0.736600 | − | 1.53205i | ||||
\(423\) | −2.60974 | − | 5.12189i | −0.126890 | − | 0.249035i | ||||
\(424\) | −9.43409 | − | 7.90669i | −0.458160 | − | 0.383983i | ||||
\(425\) | −5.96581 | + | 5.88442i | −0.289384 | + | 0.285436i | ||||
\(426\) | 17.0522 | − | 5.10873i | 0.826180 | − | 0.247519i | ||||
\(427\) | −9.15758 | + | 4.66602i | −0.443166 | + | 0.225805i | ||||
\(428\) | −18.2335 | + | 16.6237i | −0.881347 | + | 0.803535i | ||||
\(429\) | 15.6766 | − | 21.5769i | 0.756871 | − | 1.04174i | ||||
\(430\) | −3.65181 | + | 10.3016i | −0.176106 | + | 0.496788i | ||||
\(431\) | 14.7423 | + | 20.2911i | 0.710114 | + | 0.977388i | 0.999795 | + | 0.0202643i | \(0.00645078\pi\) |
−0.289681 | + | 0.957123i | \(0.593549\pi\) | |||||||
\(432\) | 3.71623 | − | 1.47974i | 0.178797 | − | 0.0711941i | ||||
\(433\) | 11.9800 | + | 1.89745i | 0.575723 | + | 0.0911856i | 0.437505 | − | 0.899216i | \(-0.355862\pi\) |
0.138219 | + | 0.990402i | \(0.455862\pi\) | |||||||
\(434\) | −3.77273 | + | 2.61021i | −0.181097 | + | 0.125294i | ||||
\(435\) | 12.7841 | + | 12.8722i | 0.612950 | + | 0.617175i | ||||
\(436\) | −7.39759 | − | 26.9379i | −0.354280 | − | 1.29009i | ||||
\(437\) | −24.3236 | − | 12.3935i | −1.16356 | − | 0.592862i | ||||
\(438\) | −14.1914 | − | 2.58468i | −0.678093 | − | 0.123501i | ||||
\(439\) | 6.68775 | − | 20.5828i | 0.319189 | − | 0.982363i | −0.654807 | − | 0.755796i | \(-0.727250\pi\) |
0.973996 | − | 0.226567i | \(-0.0727501\pi\) | |||||||
\(440\) | −2.53829 | − | 29.9957i | −0.121008 | − | 1.42999i | ||||
\(441\) | −1.49133 | − | 4.58983i | −0.0710155 | − | 0.218563i | ||||
\(442\) | 1.77435 | + | 13.1616i | 0.0843974 | + | 0.626035i | ||||
\(443\) | 8.27711 | − | 8.27711i | 0.393257 | − | 0.393257i | −0.482589 | − | 0.875847i | \(-0.660304\pi\) |
0.875847 | + | 0.482589i | \(0.160304\pi\) | |||||||
\(444\) | 0.878296 | − | 2.33121i | 0.0416821 | − | 0.110634i | ||||
\(445\) | −2.67779 | + | 3.65917i | −0.126940 | + | 0.173461i | ||||
\(446\) | −9.24495 | + | 26.3668i | −0.437761 | + | 1.24851i | ||||
\(447\) | 1.13457 | + | 7.16341i | 0.0536635 | + | 0.338818i | ||||
\(448\) | −9.41194 | + | 7.10979i | −0.444673 | + | 0.335906i | ||||
\(449\) | 15.5833i | 0.735422i | 0.929940 | + | 0.367711i | \(0.119858\pi\) | ||||
−0.929940 | + | 0.367711i | \(0.880142\pi\) | |||||||
\(450\) | 3.02013 | + | 6.39365i | 0.142370 | + | 0.301400i | ||||
\(451\) | 26.6507i | 1.25493i | ||||||||
\(452\) | 7.56119 | + | 4.30307i | 0.355648 | + | 0.202399i | ||||
\(453\) | 1.39072 | + | 8.78066i | 0.0653417 | + | 0.412551i | ||||
\(454\) | 0.220893 | + | 0.0774513i | 0.0103670 | + | 0.00363497i | ||||
\(455\) | 0.0634455 | − | 18.4741i | 0.00297437 | − | 0.866078i | ||||
\(456\) | −0.669397 | + | 9.65448i | −0.0313474 | + | 0.452112i | ||||
\(457\) | −1.36886 | + | 1.36886i | −0.0640324 | + | 0.0640324i | −0.738398 | − | 0.674365i | \(-0.764417\pi\) |
0.674365 | + | 0.738398i | \(0.264417\pi\) | |||||||
\(458\) | −10.5074 | + | 1.41653i | −0.490977 | + | 0.0661899i | ||||
\(459\) | 0.517886 | + | 1.59389i | 0.0241729 | + | 0.0743964i | ||||
\(460\) | 3.82817 | + | 35.4751i | 0.178489 | + | 1.65403i | ||||
\(461\) | 1.20334 | − | 3.70349i | 0.0560450 | − | 0.172489i | −0.919115 | − | 0.393988i | \(-0.871095\pi\) |
0.975161 | + | 0.221499i | \(0.0710951\pi\) | |||||||
\(462\) | −1.77833 | + | 9.76413i | −0.0827355 | + | 0.454268i | ||||
\(463\) | 30.4751 | + | 15.5278i | 1.41630 | + | 0.721639i | 0.983678 | − | 0.179938i | \(-0.0575898\pi\) |
0.432618 | + | 0.901577i | \(0.357590\pi\) | |||||||
\(464\) | 21.4142 | − | 24.3852i | 0.994128 | − | 1.13206i | ||||
\(465\) | 4.39110 | − | 2.21842i | 0.203632 | − | 0.102877i | ||||
\(466\) | −8.59059 | − | 12.4166i | −0.397951 | − | 0.575189i | ||||
\(467\) | 1.58480 | + | 0.251008i | 0.0733359 | + | 0.0116153i | 0.192995 | − | 0.981200i | \(-0.438180\pi\) |
−0.119659 | + | 0.992815i | \(0.538180\pi\) | |||||||
\(468\) | 10.9762 | + | 2.26192i | 0.507376 | + | 0.104557i | ||||
\(469\) | 6.49234 | + | 8.93595i | 0.299789 | + | 0.412624i | ||||
\(470\) | −10.2913 | − | 14.9845i | −0.474702 | − | 0.691183i | ||||
\(471\) | 2.60572 | − | 3.58647i | 0.120065 | − | 0.165256i | ||||
\(472\) | 30.7692 | + | 18.4634i | 1.41627 | + | 0.849846i | ||||
\(473\) | 14.6578 | − | 7.46852i | 0.673966 | − | 0.343403i | ||||
\(474\) | 3.75992 | + | 12.5501i | 0.172699 | + | 0.576443i | ||||
\(475\) | −17.1074 | − | 0.117506i | −0.784943 | − | 0.00539152i | ||||
\(476\) | −2.71733 | − | 4.12797i | −0.124549 | − | 0.189205i | ||||
\(477\) | −1.97576 | − | 3.87764i | −0.0904637 | − | 0.177545i | ||||
\(478\) | −28.3364 | + | 13.6240i | −1.29608 | + | 0.623145i | ||||
\(479\) | −5.24823 | − | 3.81306i | −0.239798 | − | 0.174223i | 0.461395 | − | 0.887195i | \(-0.347349\pi\) |
−0.701193 | + | 0.712971i | \(0.747349\pi\) | |||||||
\(480\) | 11.0425 | − | 6.16960i | 0.504017 | − | 0.281602i | ||||
\(481\) | 5.64658 | − | 4.10248i | 0.257462 | − | 0.187057i | ||||
\(482\) | 13.6849 | − | 25.3922i | 0.623332 | − | 1.15658i | ||||
\(483\) | 1.84027 | − | 11.6190i | 0.0837351 | − | 0.528683i | ||||
\(484\) | −14.5562 | + | 18.2054i | −0.661643 | + | 0.827517i | ||||
\(485\) | 1.21710 | − | 7.51727i | 0.0552655 | − | 0.341341i | ||||
\(486\) | 1.41384 | + | 0.0326299i | 0.0641330 | + | 0.00148012i | ||||
\(487\) | −1.10097 | + | 2.16077i | −0.0498896 | + | 0.0979138i | −0.914605 | − | 0.404348i | \(-0.867499\pi\) |
0.864716 | + | 0.502262i | \(0.167499\pi\) | |||||||
\(488\) | −7.71433 | − | 18.1441i | −0.349211 | − | 0.821346i | ||||
\(489\) | 3.78563 | + | 1.23002i | 0.171192 | + | 0.0556236i | ||||
\(490\) | −6.56561 | − | 13.7767i | −0.296604 | − | 0.622370i | ||||
\(491\) | 12.7330 | − | 4.13721i | 0.574634 | − | 0.186710i | −0.00726141 | − | 0.999974i | \(-0.502311\pi\) |
0.581895 | + | 0.813264i | \(0.302311\pi\) | |||||||
\(492\) | −10.2019 | + | 4.61829i | −0.459936 | + | 0.208209i | ||||
\(493\) | 9.61465 | + | 9.61465i | 0.433022 | + | 0.433022i | ||||
\(494\) | −16.4391 | + | 21.5622i | −0.739630 | + | 0.970127i | ||||
\(495\) | 3.32360 | − | 10.1107i | 0.149385 | − | 0.454443i | ||||
\(496\) | −4.49460 | − | 7.56628i | −0.201814 | − | 0.339736i | ||||
\(497\) | −18.3305 | + | 2.90327i | −0.822237 | + | 0.130230i | ||||
\(498\) | −6.37147 | + | 6.08401i | −0.285513 | + | 0.272631i | ||||
\(499\) | −33.0488 | −1.47947 | −0.739734 | − | 0.672900i | \(-0.765049\pi\) | ||||
−0.739734 | + | 0.672900i | \(0.765049\pi\) | |||||||
\(500\) | 12.1016 | + | 18.8029i | 0.541202 | + | 0.840893i | ||||
\(501\) | 20.2591 | 0.905108 | ||||||||
\(502\) | −18.4344 | + | 17.6027i | −0.822767 | + | 0.785647i | ||||
\(503\) | 14.8800 | − | 2.35677i | 0.663468 | − | 0.105083i | 0.184387 | − | 0.982854i | \(-0.440970\pi\) |
0.479081 | + | 0.877771i | \(0.340970\pi\) | |||||||
\(504\) | −4.04587 | + | 1.01128i | −0.180217 | + | 0.0450459i | ||||
\(505\) | 9.60859 | − | 29.2303i | 0.427577 | − | 1.30073i | ||||
\(506\) | 32.5611 | − | 42.7084i | 1.44752 | − | 1.89862i | ||||
\(507\) | 13.0096 | + | 13.0096i | 0.577779 | + | 0.577779i | ||||
\(508\) | 2.83051 | + | 6.25264i | 0.125584 | + | 0.277416i | ||||
\(509\) | −15.1212 | + | 4.91317i | −0.670234 | + | 0.217772i | −0.624315 | − | 0.781173i | \(-0.714622\pi\) |
−0.0459196 | + | 0.998945i | \(0.514622\pi\) | |||||||
\(510\) | 2.28001 | + | 4.78419i | 0.100960 | + | 0.211847i | ||||
\(511\) | 14.3031 | + | 4.64736i | 0.632732 | + | 0.205587i | ||||
\(512\) | −12.3573 | − | 18.9552i | −0.546119 | − | 0.837708i | ||||
\(513\) | −1.55336 | + | 3.04864i | −0.0685825 | + | 0.134601i | ||||
\(514\) | 2.33089 | + | 0.0537945i | 0.102811 | + | 0.00237278i | ||||
\(515\) | 2.18690 | − | 13.5072i | 0.0963663 | − | 0.595196i | ||||
\(516\) | 5.39899 | + | 4.31678i | 0.237677 | + | 0.190036i | ||||
\(517\) | −4.28016 | + | 27.0239i | −0.188241 | + | 1.18851i | ||||
\(518\) | −1.23221 | + | 2.28635i | −0.0541402 | + | 0.100457i | ||||
\(519\) | −6.18648 | + | 4.49474i | −0.271556 | + | 0.197297i | ||||
\(520\) | 35.3457 | + | 2.57271i | 1.55001 | + | 0.112821i | ||||
\(521\) | −18.9526 | − | 13.7698i | −0.830327 | − | 0.603268i | 0.0893252 | − | 0.996003i | \(-0.471529\pi\) |
−0.919652 | + | 0.392735i | \(0.871529\pi\) | |||||||
\(522\) | 10.3408 | − | 4.97178i | 0.452604 | − | 0.217609i | ||||
\(523\) | −18.9802 | − | 37.2508i | −0.829947 | − | 1.62886i | −0.776352 | − | 0.630300i | \(-0.782932\pi\) |
−0.0535947 | − | 0.998563i | \(-0.517068\pi\) | |||||||
\(524\) | 12.3522 | − | 8.13110i | 0.539608 | − | 0.355209i | ||||
\(525\) | −2.22992 | − | 7.02685i | −0.0973217 | − | 0.306677i | ||||
\(526\) | −10.3539 | − | 34.5597i | −0.451451 | − | 1.50687i | ||||
\(527\) | 3.28536 | − | 1.67398i | 0.143113 | − | 0.0729196i | ||||
\(528\) | −18.4498 | − | 4.69880i | −0.802924 | − | 0.204489i | ||||
\(529\) | −23.8974 | + | 32.8920i | −1.03902 | + | 1.43009i | ||||
\(530\) | −7.79124 | − | 11.3443i | −0.338430 | − | 0.492766i | ||||
\(531\) | 7.45712 | + | 10.2638i | 0.323612 | + | 0.445413i | ||||
\(532\) | 2.03645 | − | 9.88213i | 0.0882914 | − | 0.428445i | ||||
\(533\) | −30.9888 | − | 4.90814i | −1.34227 | − | 0.212595i | ||||
\(534\) | 1.63165 | + | 2.35834i | 0.0706083 | + | 0.102055i | ||||
\(535\) | −24.6225 | + | 12.4394i | −1.06452 | + | 0.537804i | ||||
\(536\) | −17.9623 | + | 11.2388i | −0.775853 | + | 0.485442i | ||||
\(537\) | −14.8424 | − | 7.56258i | −0.640497 | − | 0.326349i | ||||
\(538\) | 6.23457 | − | 34.2316i | 0.268791 | − | 1.47583i | ||||
\(539\) | −7.09824 | + | 21.8461i | −0.305743 | + | 0.940980i | ||||
\(540\) | 4.44632 | − | 0.479810i | 0.191339 | − | 0.0206477i | ||||
\(541\) | 7.36951 | + | 22.6810i | 0.316840 | + | 0.975133i | 0.974990 | + | 0.222247i | \(0.0713391\pi\) |
−0.658150 | + | 0.752886i | \(0.728661\pi\) | |||||||
\(542\) | 1.32327 | − | 0.178394i | 0.0568394 | − | 0.00766267i | ||||
\(543\) | −12.5231 | + | 12.5231i | −0.537419 | + | 0.537419i | ||||
\(544\) | 8.26031 | − | 4.65246i | 0.354158 | − | 0.199473i | ||||
\(545\) | 0.107261 | − | 31.2323i | 0.00459456 | − | 1.33784i | ||||
\(546\) | −11.0260 | − | 3.86602i | −0.471868 | − | 0.165450i | ||||
\(547\) | 4.47666 | + | 28.2645i | 0.191408 | + | 1.20850i | 0.876990 | + | 0.480509i | \(0.159548\pi\) |
−0.685582 | + | 0.727996i | \(0.740452\pi\) | |||||||
\(548\) | −11.2108 | + | 19.6993i | −0.478903 | + | 0.841511i | ||||
\(549\) | − | 6.97065i | − | 0.297500i | ||||||
\(550\) | 6.25783 | − | 33.0692i | 0.266835 | − | 1.41007i | ||||
\(551\) | 27.7601i | 1.18262i | ||||||||
\(552\) | 21.9913 | + | 5.06345i | 0.936010 | + | 0.215515i | ||||
\(553\) | −2.13675 | − | 13.4909i | −0.0908640 | − | 0.573693i | ||||
\(554\) | −5.39982 | + | 15.4004i | −0.229416 | + | 0.654301i | ||||
\(555\) | 1.64484 | − | 2.24765i | 0.0698194 | − | 0.0954074i | ||||
\(556\) | −27.4048 | − | 10.3249i | −1.16222 | − | 0.437874i | ||||
\(557\) | −19.6252 | + | 19.6252i | −0.831547 | + | 0.831547i | −0.987728 | − | 0.156181i | \(-0.950082\pi\) |
0.156181 | + | 0.987728i | \(0.450082\pi\) | |||||||
\(558\) | −0.415705 | − | 3.08358i | −0.0175982 | − | 0.130538i | ||||
\(559\) | 5.98475 | + | 18.4192i | 0.253128 | + | 0.779048i | ||||
\(560\) | −12.2689 | + | 4.83652i | −0.518455 | + | 0.204380i | ||||
\(561\) | 2.46497 | − | 7.58641i | 0.104071 | − | 0.320298i | ||||
\(562\) | −7.12854 | − | 1.29832i | −0.300699 | − | 0.0547661i | ||||
\(563\) | 24.2640 | + | 12.3631i | 1.02261 | + | 0.521044i | 0.883104 | − | 0.469177i | \(-0.155449\pi\) |
0.139503 | + | 0.990222i | \(0.455449\pi\) | |||||||
\(564\) | −11.0864 | + | 3.04452i | −0.466823 | + | 0.128197i | ||||
\(565\) | 6.85420 | + | 6.90144i | 0.288358 | + | 0.290346i | ||||
\(566\) | 10.6765 | − | 7.38668i | 0.448767 | − | 0.310485i | ||||
\(567\) | −1.45628 | − | 0.230653i | −0.0611582 | − | 0.00968651i | ||||
\(568\) | −3.12379 | − | 35.4647i | −0.131071 | − | 1.48806i | ||||
\(569\) | 20.7368 | + | 28.5418i | 0.869333 | + | 1.19653i | 0.979263 | + | 0.202594i | \(0.0649373\pi\) |
−0.109930 | + | 0.993939i | \(0.535063\pi\) | |||||||
\(570\) | −3.61513 | + | 10.1981i | −0.151421 | + | 0.427153i | ||||
\(571\) | −2.29350 | + | 3.15674i | −0.0959802 | + | 0.132105i | −0.854306 | − | 0.519770i | \(-0.826018\pi\) |
0.758326 | + | 0.651876i | \(0.226018\pi\) | |||||||
\(572\) | −35.9376 | − | 39.4177i | −1.50263 | − | 1.64814i | ||||
\(573\) | −8.57359 | + | 4.36846i | −0.358167 | + | 0.182495i | ||||
\(574\) | 11.1843 | − | 3.35074i | 0.466822 | − | 0.139857i | ||||
\(575\) | −6.51106 | + | 39.3577i | −0.271530 | + | 1.64133i | ||||
\(576\) | −1.39846 | − | 7.87682i | −0.0582691 | − | 0.328201i | ||||
\(577\) | −11.1988 | − | 21.9789i | −0.466213 | − | 0.914994i | −0.997691 | − | 0.0679219i | \(-0.978363\pi\) |
0.531478 | − | 0.847072i | \(-0.321637\pi\) | |||||||
\(578\) | −8.69637 | − | 18.0876i | −0.361721 | − | 0.752343i | ||||
\(579\) | 9.28323 | + | 6.74466i | 0.385798 | + | 0.280299i | ||||
\(580\) | 30.3751 | − | 19.8459i | 1.26126 | − | 0.824056i | ||||
\(581\) | 7.43071 | − | 5.39873i | 0.308278 | − | 0.223977i | ||||
\(582\) | −4.23972 | − | 2.28496i | −0.175742 | − | 0.0947147i | ||||
\(583\) | −3.24039 | + | 20.4590i | −0.134203 | + | 0.847326i | ||||
\(584\) | −10.7916 | + | 26.7554i | −0.446559 | + | 1.10715i | ||||
\(585\) | 11.1444 | + | 5.72665i | 0.460764 | + | 0.236768i | ||||
\(586\) | −0.962505 | + | 41.7049i | −0.0397607 | + | 1.72281i | ||||
\(587\) | −1.15344 | + | 2.26375i | −0.0476076 | + | 0.0934351i | −0.913585 | − | 0.406648i | \(-0.866697\pi\) |
0.865977 | + | 0.500084i | \(0.166697\pi\) | |||||||
\(588\) | −9.59274 | + | 1.06851i | −0.395598 | + | 0.0440645i | ||||
\(589\) | 7.15949 | + | 2.32626i | 0.295002 | + | 0.0958519i | ||||
\(590\) | 27.6067 | + | 29.1105i | 1.13655 | + | 1.19846i | ||||
\(591\) | −2.07227 | + | 0.673322i | −0.0852419 | + | 0.0276968i | ||||
\(592\) | −4.21192 | − | 2.66147i | −0.173109 | − | 0.109386i | ||||
\(593\) | 24.4019 | + | 24.4019i | 1.00206 | + | 1.00206i | 0.999998 | + | 0.00206677i | \(0.000657873\pi\) |
0.00206677 | + | 0.999998i | \(0.499342\pi\) | |||||||
\(594\) | −5.35292 | − | 4.08110i | −0.219633 | − | 0.167449i | ||||
\(595\) | −1.68938 | − | 5.26080i | −0.0692580 | − | 0.215672i | ||||
\(596\) | 14.4900 | + | 0.669183i | 0.593532 | + | 0.0274108i | ||||
\(597\) | 9.57120 | − | 1.51593i | 0.391723 | − | 0.0620429i | ||||
\(598\) | 43.6636 | + | 45.7267i | 1.78554 | + | 1.86990i | ||||
\(599\) | 10.8060 | 0.441521 | 0.220761 | − | 0.975328i | \(-0.429146\pi\) | ||||
0.220761 | + | 0.975328i | \(0.429146\pi\) | |||||||
\(600\) | 13.7433 | − | 3.33505i | 0.561067 | − | 0.136153i | ||||
\(601\) | −18.5184 | −0.755379 | −0.377690 | − | 0.925932i | \(-0.623281\pi\) | ||||
−0.377690 | + | 0.925932i | \(0.623281\pi\) | |||||||
\(602\) | −4.97714 | − | 5.21230i | −0.202853 | − | 0.212438i | ||||
\(603\) | −7.39906 | + | 1.17190i | −0.301313 | + | 0.0477233i | ||||
\(604\) | 17.7613 | + | 0.820261i | 0.722697 | + | 0.0333760i | ||||
\(605\) | −21.1358 | + | 15.2454i | −0.859293 | + | 0.619815i | ||||
\(606\) | −15.4754 | − | 11.7985i | −0.628645 | − | 0.479282i | ||||
\(607\) | 31.2527 | + | 31.2527i | 1.26851 | + | 1.26851i | 0.946858 | + | 0.321651i | \(0.104238\pi\) |
0.321651 | + | 0.946858i | \(0.395762\pi\) | |||||||
\(608\) | 18.6414 | + | 5.20843i | 0.756007 | + | 0.211230i | ||||
\(609\) | −11.3770 | + | 3.69662i | −0.461021 | + | 0.149795i | ||||
\(610\) | −2.87001 | − | 21.8555i | −0.116203 | − | 0.884904i | ||||
\(611\) | −30.6344 | − | 9.95373i | −1.23934 | − | 0.402685i | ||||
\(612\) | 3.33123 | − | 0.371056i | 0.134657 | − | 0.0149990i | ||||
\(613\) | −3.45059 | + | 6.77216i | −0.139368 | + | 0.273525i | −0.950132 | − | 0.311848i | \(-0.899052\pi\) |
0.810764 | + | 0.585373i | \(0.199052\pi\) | |||||||
\(614\) | −0.0494794 | + | 2.14392i | −0.00199683 | + | 0.0865215i | ||||
\(615\) | −12.3728 | + | 1.91613i | −0.498921 | + | 0.0772659i | ||||
\(616\) | 18.4085 | + | 7.42492i | 0.741700 | + | 0.299158i | ||||
\(617\) | −5.40602 | + | 34.1323i | −0.217638 | + | 1.37411i | 0.600746 | + | 0.799440i | \(0.294870\pi\) |
−0.818384 | + | 0.574672i | \(0.805130\pi\) | |||||||
\(618\) | −7.61799 | − | 4.10566i | −0.306441 | − | 0.165154i | ||||
\(619\) | 11.1832 | − | 8.12509i | 0.449492 | − | 0.326575i | −0.339903 | − | 0.940460i | \(-0.610394\pi\) |
0.789395 | + | 0.613885i | \(0.210394\pi\) | |||||||
\(620\) | −2.57298 | − | 9.49696i | −0.103333 | − | 0.381407i | ||||
\(621\) | 6.45476 | + | 4.68966i | 0.259020 | + | 0.188189i | ||||
\(622\) | −0.0531728 | − | 0.110594i | −0.00213203 | − | 0.00443441i | ||||
\(623\) | −1.35738 | − | 2.66400i | −0.0543822 | − | 0.106731i | ||||
\(624\) | 8.86147 | − | 20.5876i | 0.354743 | − | 0.824163i | ||||
\(625\) | 7.39809 | + | 23.8803i | 0.295923 | + | 0.955212i | ||||
\(626\) | 30.0177 | − | 8.99313i | 1.19975 | − | 0.359438i | ||||
\(627\) | 14.5106 | − | 7.39350i | 0.579496 | − | 0.295268i | ||||
\(628\) | −5.97348 | − | 6.55193i | −0.238368 | − | 0.261451i | ||||
\(629\) | 1.22700 | − | 1.68882i | 0.0489237 | − | 0.0673376i | ||||
\(630\) | −4.66094 | − | 0.123587i | −0.185696 | − | 0.00492381i | ||||
\(631\) | 15.1133 | + | 20.8017i | 0.601652 | + | 0.828103i | 0.995858 | − | 0.0909189i | \(-0.0289804\pi\) |
−0.394206 | + | 0.919022i | \(0.628980\pi\) | |||||||
\(632\) | 26.1013 | − | 2.29905i | 1.03825 | − | 0.0914513i | ||||
\(633\) | −24.3889 | − | 3.86282i | −0.969372 | − | 0.153533i | ||||
\(634\) | −37.0951 | + | 25.6647i | −1.47323 | + | 1.01928i | ||||
\(635\) | 1.17438 | + | 7.58320i | 0.0466038 | + | 0.300930i | ||||
\(636\) | −8.39323 | + | 2.30492i | −0.332813 | + | 0.0913959i | ||||
\(637\) | −24.0949 | − | 12.2770i | −0.954675 | − | 0.486431i | ||||
\(638\) | −53.7283 | − | 9.78550i | −2.12713 | − | 0.387411i | ||||
\(639\) | 3.88966 | − | 11.9711i | 0.153872 | − | 0.473571i | ||||
\(640\) | −7.62778 | − | 24.1209i | −0.301514 | − | 0.953462i | ||||
\(641\) | −3.11325 | − | 9.58161i | −0.122966 | − | 0.378451i | 0.870559 | − | 0.492064i | \(-0.163757\pi\) |
−0.993525 | + | 0.113613i | \(0.963757\pi\) | |||||||
\(642\) | 2.33101 | + | 17.2907i | 0.0919975 | + | 0.682410i | ||||
\(643\) | 17.4447 | − | 17.4447i | 0.687951 | − | 0.687951i | −0.273828 | − | 0.961779i | \(-0.588290\pi\) |
0.961779 | + | 0.273828i | \(0.0882899\pi\) | |||||||
\(644\) | −22.0169 | − | 8.29499i | −0.867587 | − | 0.326868i | ||||
\(645\) | 4.52119 | + | 6.26805i | 0.178022 | + | 0.246804i | ||||
\(646\) | −2.68325 | + | 7.65269i | −0.105571 | + | 0.301091i | ||||
\(647\) | −4.48496 | − | 28.3169i | −0.176322 | − | 1.11325i | −0.904063 | − | 0.427400i | \(-0.859430\pi\) |
0.727741 | − | 0.685852i | \(-0.240570\pi\) | |||||||
\(648\) | 0.634636 | − | 2.75631i | 0.0249308 | − | 0.108278i | ||||
\(649\) | − | 60.3852i | − | 2.37033i | ||||||
\(650\) | 37.2995 | + | 13.3666i | 1.46301 | + | 0.524283i | ||||
\(651\) | 3.24397i | 0.127141i | ||||||||
\(652\) | 3.93755 | − | 6.91891i | 0.154206 | − | 0.270966i | ||||
\(653\) | −0.257017 | − | 1.62274i | −0.0100578 | − | 0.0635027i | 0.982149 | − | 0.188105i | \(-0.0602345\pi\) |
−0.992207 | + | 0.124602i | \(0.960235\pi\) | |||||||
\(654\) | −18.6405 | − | 6.53589i | −0.728902 | − | 0.255574i | ||||
\(655\) | 15.7420 | − | 5.05517i | 0.615089 | − | 0.197522i | ||||
\(656\) | 4.92834 | + | 21.8481i | 0.192419 | + | 0.853025i | ||||
\(657\) | −7.21245 | + | 7.21245i | −0.281384 | + | 0.281384i | ||||
\(658\) | 11.8790 | − | 1.60144i | 0.463092 | − | 0.0624307i | ||||
\(659\) | −6.95495 | − | 21.4051i | −0.270926 | − | 0.833826i | −0.990269 | − | 0.139170i | \(-0.955557\pi\) |
0.719342 | − | 0.694656i | \(-0.244443\pi\) | |||||||
\(660\) | −18.4636 | − | 10.5918i | −0.718696 | − | 0.412284i | ||||
\(661\) | 12.2871 | − | 37.8159i | 0.477914 | − | 1.47087i | −0.364072 | − | 0.931371i | \(-0.618614\pi\) |
0.841986 | − | 0.539499i | \(-0.181386\pi\) | |||||||
\(662\) | −4.87099 | + | 26.7447i | −0.189316 | + | 1.03946i | ||||
\(663\) | 8.36733 | + | 4.26337i | 0.324960 | + | 0.165575i | ||||
\(664\) | 9.34566 | + | 14.9366i | 0.362682 | + | 0.579653i | ||||
\(665\) | 5.15583 | − | 10.0335i | 0.199934 | − | 0.389084i | ||||
\(666\) | −1.00224 | − | 1.44861i | −0.0388361 | − | 0.0561326i | ||||
\(667\) | 63.9350 | + | 10.1263i | 2.47557 | + | 0.392092i | ||||
\(668\) | 8.17791 | − | 39.6843i | 0.316413 | − | 1.53543i | ||||
\(669\) | 11.6129 | + | 15.9838i | 0.448980 | + | 0.617968i | ||||
\(670\) | −22.7162 | + | 6.72071i | −0.877603 | + | 0.259644i | ||||
\(671\) | −19.5016 | + | 26.8416i | −0.752851 | + | 1.03621i | ||||
\(672\) | 0.347749 | + | 8.33343i | 0.0134147 | + | 0.321469i | ||||
\(673\) | 9.74354 | − | 4.96458i | 0.375586 | − | 0.191371i | −0.255999 | − | 0.966677i | \(-0.582405\pi\) |
0.631585 | + | 0.775306i | \(0.282405\pi\) | |||||||
\(674\) | −5.85549 | − | 19.5447i | −0.225545 | − | 0.752835i | ||||
\(675\) | 4.93295 | + | 0.816074i | 0.189869 | + | 0.0314107i | ||||
\(676\) | 30.7354 | − | 20.2323i | 1.18213 | − | 0.778164i | ||||
\(677\) | 20.7348 | + | 40.6944i | 0.796904 | + | 1.56401i | 0.825488 | + | 0.564420i | \(0.190900\pi\) |
−0.0285840 | + | 0.999591i | \(0.509100\pi\) | |||||||
\(678\) | 5.54422 | − | 2.66562i | 0.212925 | − | 0.102373i | ||||
\(679\) | 4.06236 | + | 2.95147i | 0.155899 | + | 0.113267i | ||||
\(680\) | 10.2918 | − | 2.53495i | 0.394673 | − | 0.0972110i | ||||
\(681\) | 0.133907 | − | 0.0972891i | 0.00513132 | − | 0.00372812i | ||||
\(682\) | −7.02609 | + | 13.0368i | −0.269043 | + | 0.499206i | ||||
\(683\) | 3.21000 | − | 20.2671i | 0.122827 | − | 0.775500i | −0.846980 | − | 0.531626i | \(-0.821581\pi\) |
0.969807 | − | 0.243875i | \(-0.0784186\pi\) | |||||||
\(684\) | 5.34476 | + | 4.27342i | 0.204362 | + | 0.163398i | ||||
\(685\) | −17.9804 | + | 17.8573i | −0.686996 | + | 0.682294i | ||||
\(686\) | 24.6527 | + | 0.568959i | 0.941245 | + | 0.0217230i | ||||
\(687\) | −3.40358 | + | 6.67991i | −0.129855 | + | 0.254854i | ||||
\(688\) | 10.6353 | − | 8.83322i | 0.405466 | − | 0.336763i | ||||
\(689\) | −23.1925 | − | 7.53569i | −0.883563 | − | 0.287087i | ||||
\(690\) | 22.1688 | + | 12.0462i | 0.843954 | + | 0.458589i | ||||
\(691\) | −19.2612 | + | 6.25835i | −0.732731 | + | 0.238079i | −0.651534 | − | 0.758619i | \(-0.725874\pi\) |
−0.0811970 | + | 0.996698i | \(0.525874\pi\) | |||||||
\(692\) | 6.30720 | + | 13.9327i | 0.239764 | + | 0.529641i | ||||
\(693\) | 4.96237 | + | 4.96237i | 0.188505 | + | 0.188505i | ||||
\(694\) | −2.98483 | + | 3.91501i | −0.113303 | + | 0.148612i | ||||
\(695\) | −26.4225 | − | 19.3361i | −1.00226 | − | 0.733460i | ||||
\(696\) | −5.56468 | − | 22.2629i | −0.210929 | − | 0.843873i | ||||
\(697\) | −9.26836 | + | 1.46796i | −0.351064 | + | 0.0556031i | ||||
\(698\) | −1.08719 | + | 1.03814i | −0.0411506 | + | 0.0392940i | ||||
\(699\) | −10.6764 | −0.403818 | ||||||||
\(700\) | −14.6646 | + | 1.53155i | −0.554270 | + | 0.0578872i | ||||
\(701\) | 13.8933 | 0.524741 | 0.262370 | − | 0.964967i | \(-0.415496\pi\) | ||||
0.262370 | + | 0.964967i | \(0.415496\pi\) | |||||||
\(702\) | 5.73122 | − | 5.47265i | 0.216311 | − | 0.206552i | ||||
\(703\) | 4.20939 | − | 0.666701i | 0.158760 | − | 0.0251451i | ||||
\(704\) | −16.6518 | + | 34.2434i | −0.627587 | + | 1.29060i | ||||
\(705\) | −12.8538 | − | 0.0441439i | −0.484103 | − | 0.00166255i | ||||
\(706\) | −17.6449 | + | 23.1437i | −0.664074 | + | 0.871025i | ||||
\(707\) | 14.3463 | + | 14.3463i | 0.539548 | + | 0.539548i | ||||
\(708\) | 23.1154 | − | 10.4641i | 0.868731 | − | 0.393266i | ||||
\(709\) | 15.5492 | − | 5.05225i | 0.583964 | − | 0.189741i | −0.00211169 | − | 0.999998i | \(-0.500672\pi\) |
0.586076 | + | 0.810256i | \(0.300672\pi\) | |||||||
\(710\) | 7.26663 | − | 39.1353i | 0.272712 | − | 1.46872i | ||||
\(711\) | 8.81053 | + | 2.86271i | 0.330421 | + | 0.107360i | ||||
\(712\) | 5.27825 | − | 2.24415i | 0.197811 | − | 0.0841032i | ||||
\(713\) | 7.96929 | − | 15.6406i | 0.298452 | − | 0.585746i | ||||
\(714\) | −3.49364 | − | 0.0806295i | −0.130746 | − | 0.00301748i | ||||
\(715\) | −26.8921 | − | 53.2298i | −1.00571 | − | 1.99068i | ||||
\(716\) | −20.8053 | + | 26.0211i | −0.777529 | + | 0.972455i | ||||
\(717\) | −3.47793 | + | 21.9588i | −0.129886 | + | 0.820065i | ||||
\(718\) | −11.0408 | + | 20.4860i | −0.412038 | + | 0.764531i | ||||
\(719\) | 6.10365 | − | 4.43456i | 0.227628 | − | 0.165381i | −0.468126 | − | 0.883662i | \(-0.655071\pi\) |
0.695753 | + | 0.718281i | \(0.255071\pi\) | |||||||
\(720\) | 0.854962 | − | 8.90332i | 0.0318625 | − | 0.331807i | ||||
\(721\) | 7.29931 | + | 5.30326i | 0.271840 | + | 0.197504i | ||||
\(722\) | 9.29514 | − | 4.46904i | 0.345929 | − | 0.166320i | ||||
\(723\) | −9.25986 | − | 18.1735i | −0.344378 | − | 0.675880i | ||||
\(724\) | 19.4756 | + | 29.5860i | 0.723807 | + | 1.09955i | ||||
\(725\) | 38.6661 | − | 12.2704i | 1.43602 | − | 0.455712i | ||||
\(726\) | 4.73021 | + | 15.7887i | 0.175554 | + | 0.585974i | ||||
\(727\) | 42.6795 | − | 21.7463i | 1.58289 | − | 0.806525i | 0.582913 | − | 0.812535i | \(-0.301913\pi\) |
0.999982 | + | 0.00600972i | \(0.00191296\pi\) | |||||||
\(728\) | −12.0237 | + | 20.0375i | −0.445629 | + | 0.742641i | ||||
\(729\) | 0.587785 | − | 0.809017i | 0.0217698 | − | 0.0299636i | ||||
\(730\) | −19.6441 | + | 25.5832i | −0.727059 | + | 0.946876i | ||||
\(731\) | 3.40471 | + | 4.68618i | 0.125928 | + | 0.173325i | ||||
\(732\) | −13.6544 | − | 2.81382i | −0.504681 | − | 0.104002i | ||||
\(733\) | 12.5781 | + | 1.99218i | 0.464584 | + | 0.0735829i | 0.384339 | − | 0.923192i | \(-0.374430\pi\) |
0.0802457 | + | 0.996775i | \(0.474430\pi\) | |||||||
\(734\) | 15.3035 | + | 22.1193i | 0.564863 | + | 0.816439i | ||||
\(735\) | −10.6526 | − | 1.72473i | −0.392928 | − | 0.0636177i | ||||
\(736\) | 18.7956 | − | 41.0334i | 0.692816 | − | 1.51251i | ||||
\(737\) | 31.7699 | + | 16.1876i | 1.17026 | + | 0.596276i | ||||
\(738\) | −1.41886 | + | 7.79040i | −0.0522289 | + | 0.286769i | ||||
\(739\) | −7.24911 | + | 22.3105i | −0.266663 | + | 0.820704i | 0.724643 | + | 0.689125i | \(0.242005\pi\) |
−0.991306 | + | 0.131579i | \(0.957995\pi\) | |||||||
\(740\) | −3.73882 | − | 4.12927i | −0.137442 | − | 0.151795i | ||||
\(741\) | 5.92463 | + | 18.2341i | 0.217647 | + | 0.669848i | ||||
\(742\) | 8.99326 | − | 1.21241i | 0.330153 | − | 0.0445088i | ||||
\(743\) | −31.2758 | + | 31.2758i | −1.14740 | + | 1.14740i | −0.160337 | + | 0.987062i | \(0.551258\pi\) |
−0.987062 | + | 0.160337i | \(0.948742\pi\) | |||||||
\(744\) | −6.20804 | − | 0.430437i | −0.227598 | − | 0.0157806i | ||||
\(745\) | 15.4065 | + | 5.06444i | 0.564450 | + | 0.185547i | ||||
\(746\) | −0.781247 | − | 0.273927i | −0.0286035 | − | 0.0100292i | ||||
\(747\) | 0.974493 | + | 6.15271i | 0.0356548 | + | 0.225116i | ||||
\(748\) | −13.8655 | − | 7.89087i | −0.506974 | − | 0.288519i | ||||
\(749\) | − | 18.1901i | − | 0.664652i | ||||||
\(750\) | 15.8026 | + | 0.527650i | 0.577029 | + | 0.0192671i | ||||
\(751\) | − | 25.1683i | − | 0.918404i | −0.888332 | − | 0.459202i | \(-0.848135\pi\) | ||
0.888332 | − | 0.459202i | \(-0.151865\pi\) | |||||||
\(752\) | 1.48850 | + | 22.9455i | 0.0542799 | + | 0.836737i | ||||
\(753\) | 2.81947 | + | 17.8014i | 0.102747 | + | 0.648721i | ||||
\(754\) | 21.2732 | − | 60.6718i | 0.774726 | − | 2.20954i | ||||
\(755\) | 18.8847 | + | 6.20781i | 0.687286 | + | 0.225925i | ||||
\(756\) | −1.03967 | + | 2.75952i | −0.0378123 | + | 0.100363i | ||||
\(757\) | 19.3441 | − | 19.3441i | 0.703072 | − | 0.703072i | −0.261997 | − | 0.965069i | \(-0.584381\pi\) |
0.965069 | + | 0.261997i | \(0.0843809\pi\) | |||||||
\(758\) | 0.939524 | + | 6.96911i | 0.0341251 | + | 0.253129i | ||||
\(759\) | −11.7350 | − | 36.1166i | −0.425953 | − | 1.31095i | ||||
\(760\) | 18.5172 | + | 11.1981i | 0.671690 | + | 0.406198i | ||||
\(761\) | −8.59037 | + | 26.4384i | −0.311401 | + | 0.958392i | 0.665810 | + | 0.746121i | \(0.268086\pi\) |
−0.977211 | + | 0.212271i | \(0.931914\pi\) | |||||||
\(762\) | 4.77466 | + | 0.869605i | 0.172968 | + | 0.0315025i | ||||
\(763\) | 18.3497 | + | 9.34964i | 0.664304 | + | 0.338480i | ||||
\(764\) | 5.09624 | + | 18.5577i | 0.184376 | + | 0.671393i | ||||
\(765\) | 3.69929 | + | 0.598940i | 0.133748 | + | 0.0216547i | ||||
\(766\) | −21.5394 | + | 14.9023i | −0.778251 | + | 0.538443i | ||||
\(767\) | 70.2144 | + | 11.1209i | 2.53530 | + | 0.401551i | ||||
\(768\) | −15.9939 | − | 0.440254i | −0.577132 | − | 0.0158863i | ||||
\(769\) | −13.5028 | − | 18.5850i | −0.486923 | − | 0.670192i | 0.492894 | − | 0.870090i | \(-0.335939\pi\) |
−0.979817 | + | 0.199897i | \(0.935939\pi\) | |||||||
\(770\) | 17.6020 | + | 13.5157i | 0.634331 | + | 0.487071i | ||||
\(771\) | 0.969038 | − | 1.33377i | 0.0348991 | − | 0.0480344i | ||||
\(772\) | 16.9590 | − | 15.4618i | 0.610369 | − | 0.556481i | ||||
\(773\) | 17.5103 | − | 8.92192i | 0.629800 | − | 0.320899i | −0.109792 | − | 0.993955i | \(-0.535018\pi\) |
0.739592 | + | 0.673055i | \(0.235018\pi\) | |||||||
\(774\) | 4.68231 | − | 1.40279i | 0.168302 | − | 0.0504223i | ||||
\(775\) | 0.0755586 | − | 11.0005i | 0.00271415 | − | 0.395148i | ||||
\(776\) | −6.18730 | + | 7.38256i | −0.222111 | + | 0.265019i | ||||
\(777\) | 0.833771 | + | 1.63637i | 0.0299114 | + | 0.0587044i | ||||
\(778\) | 9.13777 | + | 19.0056i | 0.327605 | + | 0.681385i | ||||
\(779\) | −15.4994 | − | 11.2609i | −0.555322 | − | 0.403465i | ||||
\(780\) | 15.7162 | − | 19.5184i | 0.562730 | − | 0.698872i | ||||
\(781\) | −48.4691 | + | 35.2148i | −1.73436 | + | 1.26009i | ||||
\(782\) | 16.6463 | + | 8.97138i | 0.595270 | + | 0.320816i | ||||
\(783\) | 1.26920 | − | 8.01339i | 0.0453574 | − | 0.286375i | ||||
\(784\) | −1.77923 | + | 19.2220i | −0.0635440 | + | 0.686499i | ||||
\(785\) | −4.46994 | − | 8.84774i | −0.159539 | − | 0.315789i | ||||
\(786\) | 0.241269 | − | 10.4541i | 0.00860578 | − | 0.372884i | ||||
\(787\) | −8.24852 | + | 16.1886i | −0.294028 | + | 0.577062i | −0.990010 | − | 0.140997i | \(-0.954969\pi\) |
0.695982 | + | 0.718059i | \(0.254969\pi\) | |||||||
\(788\) | 0.482423 | + | 4.33105i | 0.0171856 | + | 0.154287i | ||||
\(789\) | −24.2620 | − | 7.88319i | −0.863749 | − | 0.280649i | ||||
\(790\) | 28.8028 | + | 5.34810i | 1.02476 | + | 0.190277i | ||||
\(791\) | −6.09981 | + | 1.98195i | −0.216884 | + | 0.0704699i | ||||
\(792\) | −10.1550 | + | 8.83812i | −0.360843 | + | 0.314049i | ||||
\(793\) | −27.6193 | − | 27.6193i | −0.980789 | − | 0.980789i | ||||
\(794\) | −19.6933 | − | 15.0143i | −0.698889 | − | 0.532837i | ||||
\(795\) | −9.73126 | − | 0.0334201i | −0.345132 | − | 0.00118529i | ||||
\(796\) | 0.894112 | − | 19.3604i | 0.0316909 | − | 0.686211i | ||||
\(797\) | 12.2393 | − | 1.93851i | 0.433537 | − | 0.0686655i | 0.0641480 | − | 0.997940i | \(-0.479567\pi\) |
0.369389 | + | 0.929275i | \(0.379567\pi\) | |||||||
\(798\) | −4.92715 | − | 5.15995i | −0.174419 | − | 0.182660i | ||||
\(799\) | −9.63389 | −0.340823 | ||||||||
\(800\) | −0.985131 | − | 28.2671i | −0.0348296 | − | 0.999393i | ||||
\(801\) | 2.02781 | 0.0716492 | ||||||||
\(802\) | 22.9304 | + | 24.0138i | 0.809700 | + | 0.847957i | ||||
\(803\) | 47.9508 | − | 7.59466i | 1.69215 | − | 0.268010i | ||||
\(804\) | −0.691197 | + | 14.9666i | −0.0243766 | + | 0.527832i | ||||
\(805\) | −21.2277 | − | 15.5345i | −0.748180 | − | 0.547520i | ||||
\(806\) | −13.8649 | − | 10.5707i | −0.488371 | − | 0.372337i | ||||
\(807\) | −17.3973 | − | 17.3973i | −0.612416 | − | 0.612416i | ||||
\(808\) | −29.3583 | + | 25.5511i | −1.03282 | + | 0.898886i | ||||
\(809\) | 7.78970 | − | 2.53103i | 0.273871 | − | 0.0889862i | −0.168861 | − | 0.985640i | \(-0.554009\pi\) |
0.442733 | + | 0.896654i | \(0.354009\pi\) | |||||||
\(810\) | 1.50982 | − | 2.77857i | 0.0530498 | − | 0.0976289i | ||||
\(811\) | −51.5148 | − | 16.7382i | −1.80893 | − | 0.587756i | −0.808928 | − | 0.587908i | \(-0.799952\pi\) |
−1.00000 | 0.000151490i | \(0.999952\pi\) | ||||||||
\(812\) | 2.64856 | + | 23.7780i | 0.0929464 | + | 0.834444i | ||||
\(813\) | 0.428639 | − | 0.841252i | 0.0150330 | − | 0.0295040i | ||||
\(814\) | −0.193449 | + | 8.38206i | −0.00678040 | + | 0.293791i | ||||
\(815\) | 6.31521 | − | 6.27198i | 0.221212 | − | 0.219698i | ||||
\(816\) | 0.617866 | − | 6.67512i | 0.0216296 | − | 0.233676i | ||||
\(817\) | −1.84998 | + | 11.6803i | −0.0647227 | + | 0.408643i | ||||
\(818\) | −47.5823 | − | 25.6441i | −1.66368 | − | 0.896624i | ||||
\(819\) | −6.68402 | + | 4.85623i | −0.233559 | + | 0.169690i | ||||
\(820\) | −1.24111 | + | 25.0099i | −0.0433414 | + | 0.873383i | ||||
\(821\) | 10.9434 | + | 7.95088i | 0.381929 | + | 0.277487i | 0.762140 | − | 0.647412i | \(-0.224149\pi\) |
−0.380211 | + | 0.924900i | \(0.624149\pi\) | |||||||
\(822\) | 6.94478 | + | 14.4444i | 0.242227 | + | 0.503808i | ||||
\(823\) | −9.68724 | − | 19.0123i | −0.337676 | − | 0.662726i | 0.658260 | − | 0.752791i | \(-0.271293\pi\) |
−0.995936 | + | 0.0900643i | \(0.971293\pi\) | |||||||
\(824\) | −11.1175 | + | 13.2651i | −0.387295 | + | 0.462112i | ||||
\(825\) | −16.7120 | − | 16.9432i | −0.581839 | − | 0.589887i | ||||
\(826\) | −25.3413 | + | 7.59211i | −0.881737 | + | 0.264163i | ||||
\(827\) | −41.9088 | + | 21.3536i | −1.45731 | + | 0.742537i | −0.989935 | − | 0.141522i | \(-0.954800\pi\) |
−0.467375 | + | 0.884059i | \(0.654800\pi\) | |||||||
\(828\) | 11.7919 | − | 10.7508i | 0.409795 | − | 0.373615i | ||||
\(829\) | −13.0763 | + | 17.9979i | −0.454158 | + | 0.625094i | −0.973284 | − | 0.229603i | \(-0.926257\pi\) |
0.519127 | + | 0.854697i | \(0.326257\pi\) | |||||||
\(830\) | 5.58863 | + | 18.8897i | 0.193984 | + | 0.655672i | ||||
\(831\) | 6.78288 | + | 9.33584i | 0.235296 | + | 0.323857i | ||||
\(832\) | −36.7507 | − | 25.6687i | −1.27410 | − | 0.889903i | ||||
\(833\) | −7.98844 | − | 1.26525i | −0.276783 | − | 0.0438381i | ||||
\(834\) | −17.0294 | + | 11.7820i | −0.589678 | + | 0.407976i | ||||
\(835\) | 20.7046 | − | 40.2923i | 0.716511 | − | 1.39437i | ||||
\(836\) | −8.62525 | − | 31.4084i | −0.298311 | − | 1.08628i | ||||
\(837\) | −1.96034 | − | 0.998844i | −0.0677593 | − | 0.0345251i | ||||
\(838\) | −14.5249 | − | 2.64540i | −0.501753 | − | 0.0913839i | ||||
\(839\) | −7.78737 | + | 23.9670i | −0.268850 | + | 0.827434i | 0.721932 | + | 0.691964i | \(0.243254\pi\) |
−0.990781 | + | 0.135470i | \(0.956746\pi\) | |||||||
\(840\) | −2.12355 | + | 9.08015i | −0.0732696 | + | 0.313295i | ||||
\(841\) | −11.3796 | − | 35.0230i | −0.392402 | − | 1.20769i | ||||
\(842\) | −0.835916 | − | 6.20058i | −0.0288076 | − | 0.213686i | ||||
\(843\) | −3.62290 | + | 3.62290i | −0.124779 | + | 0.124779i | ||||
\(844\) | −17.4116 | + | 46.2147i | −0.599333 | + | 1.59077i | ||||
\(845\) | 39.1700 | − | 12.5785i | 1.34749 | − | 0.432715i | ||||
\(846\) | −2.68988 | + | 7.67161i | −0.0924800 | + | 0.263755i | ||||
\(847\) | −2.68816 | − | 16.9724i | −0.0923664 | − | 0.583178i | ||||
\(848\) | 1.12690 | + | 17.3714i | 0.0386979 | + | 0.596536i | ||||
\(849\) | − | 9.18017i | − | 0.315063i | ||||||
\(850\) | 11.8452 | + | 0.354792i | 0.406287 | + | 0.0121693i | ||||
\(851\) | − | 9.93793i | − | 0.340668i | ||||||
\(852\) | −21.8794 | − | 12.4516i | −0.749576 | − | 0.426584i | ||||
\(853\) | 0.162467 | + | 1.02578i | 0.00556276 | + | 0.0351219i | 0.990314 | − | 0.138849i | \(-0.0443402\pi\) |
−0.984751 | + | 0.173971i | \(0.944340\pi\) | |||||||
\(854\) | 13.7163 | + | 4.80931i | 0.469362 | + | 0.164571i | ||||
\(855\) | 4.47578 | + | 6.20508i | 0.153068 | + | 0.212209i | ||||
\(856\) | 34.8107 | + | 2.41361i | 1.18981 | + | 0.0824956i | ||||
\(857\) | 37.1535 | − | 37.1535i | 1.26914 | − | 1.26914i | 0.322604 | − | 0.946534i | \(-0.395442\pi\) |
0.946534 | − | 0.322604i | \(-0.104558\pi\) | |||||||
\(858\) | −37.3797 | + | 5.03926i | −1.27612 | + | 0.172037i | ||||
\(859\) | −3.89611 | − | 11.9910i | −0.132933 | − | 0.409127i | 0.862329 | − | 0.506348i | \(-0.169005\pi\) |
−0.995263 | + | 0.0972207i | \(0.969005\pi\) | |||||||
\(860\) | 14.1032 | − | 6.32609i | 0.480913 | − | 0.215718i | ||||
\(861\) | 2.55117 | − | 7.85170i | 0.0869437 | − | 0.267585i | ||||
\(862\) | 6.35559 | − | 34.8961i | 0.216472 | − | 1.18857i | ||||
\(863\) | −20.6059 | − | 10.4992i | −0.701431 | − | 0.357397i | 0.0666261 | − | 0.997778i | \(-0.478777\pi\) |
−0.768058 | + | 0.640381i | \(0.778777\pi\) | |||||||
\(864\) | −5.14299 | − | 2.35578i | −0.174968 | − | 0.0801452i | ||||
\(865\) | 2.61686 | + | 16.8976i | 0.0889758 | + | 0.574535i | ||||
\(866\) | −9.75970 | − | 14.1064i | −0.331648 | − | 0.479355i | ||||
\(867\) | −14.0166 | − | 2.22001i | −0.476028 | − | 0.0753955i | ||||
\(868\) | 6.35442 | + | 1.30948i | 0.215683 | + | 0.0444468i | ||||
\(869\) | −25.9174 | − | 35.6723i | −0.879189 | − | 1.21010i | ||||
\(870\) | 0.680051 | − | 25.6474i | 0.0230559 | − | 0.869529i | ||||
\(871\) | −24.6734 | + | 33.9600i | −0.836026 | + | 1.15069i | ||||
\(872\) | −20.3273 | + | 33.8755i | −0.688370 | + | 1.14717i | ||||
\(873\) | −3.03441 | + | 1.54611i | −0.102699 | + | 0.0523279i | ||||
\(874\) | 11.0798 | + | 36.9826i | 0.374779 | + | 1.25096i | ||||
\(875\) | −16.2543 | − | 2.74639i | −0.549497 | − | 0.0928448i | ||||
\(876\) | 11.2166 | + | 17.0395i | 0.378974 | + | 0.575710i | ||||
\(877\) | −9.76273 | − | 19.1604i | −0.329664 | − | 0.647002i | 0.665373 | − | 0.746511i | \(-0.268273\pi\) |
−0.995037 | + | 0.0995093i | \(0.968273\pi\) | |||||||
\(878\) | −27.5839 | + | 13.2621i | −0.930911 | + | 0.447575i | ||||
\(879\) | 23.8641 | + | 17.3383i | 0.804916 | + | 0.584806i | ||||
\(880\) | −28.2007 | + | 31.8918i | −0.950646 | + | 1.07507i | ||||
\(881\) | −11.5702 | + | 8.40623i | −0.389809 | + | 0.283213i | −0.765377 | − | 0.643582i | \(-0.777448\pi\) |
0.375568 | + | 0.926795i | \(0.377448\pi\) | |||||||
\(882\) | −3.23799 | + | 6.00805i | −0.109029 | + | 0.202301i | ||||
\(883\) | 6.44822 | − | 40.7125i | 0.217000 | − | 1.37008i | −0.603009 | − | 0.797734i | \(-0.706032\pi\) |
0.820009 | − | 0.572350i | \(-0.193968\pi\) | |||||||
\(884\) | 11.7289 | − | 14.6693i | 0.394484 | − | 0.493381i | ||||
\(885\) | 28.0344 | − | 4.34157i | 0.942366 | − | 0.145940i | ||||
\(886\) | −16.5498 | − | 0.381952i | −0.556002 | − | 0.0128319i | ||||
\(887\) | −3.65750 | + | 7.17824i | −0.122807 | + | 0.241022i | −0.944223 | − | 0.329308i | \(-0.893185\pi\) |
0.821416 | + | 0.570330i | \(0.193185\pi\) | |||||||
\(888\) | −3.24217 | + | 1.37847i | −0.108800 | + | 0.0462585i | ||||
\(889\) | −4.81223 | − | 1.56359i | −0.161397 | − | 0.0524411i | ||||
\(890\) | 6.35792 | − | 0.834907i | 0.213118 | − | 0.0279861i | ||||
\(891\) | −4.52673 | + | 1.47082i | −0.151651 | + | 0.0492744i | ||||
\(892\) | 35.9974 | − | 16.2957i | 1.20528 | − | 0.545619i | ||||
\(893\) | −13.9078 | − | 13.9078i | −0.465408 | − | 0.465408i | ||||
\(894\) | 6.21869 | − | 8.15667i | 0.207984 | − | 0.272800i | ||||
\(895\) | −30.2096 | + | 21.7905i | −1.00980 | + | 0.728375i | ||||
\(896\) | 16.4642 | + | 2.68274i | 0.550031 | + | 0.0896241i | ||||
\(897\) | 44.1566 | − | 6.99373i | 1.47435 | − | 0.233514i | ||||
\(898\) | 15.9387 | − | 15.2196i | 0.531882 | − | 0.507885i | ||||
\(899\) | −17.8504 | −0.595343 | ||||||||
\(900\) | 3.58983 | − | 9.33344i | 0.119661 | − | 0.311115i | ||||
\(901\) | −7.29355 | −0.242983 | ||||||||
\(902\) | 27.2585 | − | 26.0287i | 0.907610 | − | 0.866661i | ||||
\(903\) | −5.03334 | + | 0.797202i | −0.167499 | + | 0.0265292i | ||||
\(904\) | −2.98351 | − | 11.9363i | −0.0992300 | − | 0.396994i | ||||
\(905\) | 12.1082 | + | 37.7052i | 0.402489 | + | 1.25336i | ||||
\(906\) | 7.62265 | − | 9.99816i | 0.253246 | − | 0.332167i | ||||
\(907\) | −22.6464 | − | 22.6464i | −0.751962 | − | 0.751962i | 0.222883 | − | 0.974845i | \(-0.428453\pi\) |
−0.974845 | + | 0.222883i | \(0.928453\pi\) | |||||||
\(908\) | −0.136520 | − | 0.301574i | −0.00453057 | − | 0.0100081i | ||||
\(909\) | −13.0868 | + | 4.25217i | −0.434063 | + | 0.141036i | ||||
\(910\) | −18.9574 | + | 17.9780i | −0.628431 | + | 0.595965i | ||||
\(911\) | 13.8057 | + | 4.48573i | 0.457402 | + | 0.148619i | 0.528650 | − | 0.848840i | \(-0.322698\pi\) |
−0.0712485 | + | 0.997459i | \(0.522698\pi\) | |||||||
\(912\) | 10.5284 | − | 8.74449i | 0.348631 | − | 0.289559i | ||||
\(913\) | 13.4608 | − | 26.4183i | 0.445488 | − | 0.874319i | ||||
\(914\) | 2.73698 | + | 0.0631668i | 0.0905314 | + | 0.00208937i | ||||
\(915\) | −13.8636 | − | 7.12394i | −0.458317 | − | 0.235510i | ||||
\(916\) | 11.7110 | + | 9.36353i | 0.386941 | + | 0.309380i | ||||
\(917\) | −1.70547 | + | 10.7679i | −0.0563197 | + | 0.355588i | ||||
\(918\) | 1.12444 | − | 2.08639i | 0.0371121 | − | 0.0688610i | ||||
\(919\) | −8.34391 | + | 6.06221i | −0.275240 | + | 0.199974i | −0.716839 | − | 0.697239i | \(-0.754412\pi\) |
0.441598 | + | 0.897213i | \(0.354412\pi\) | |||||||
\(920\) | 32.5453 | − | 38.5626i | 1.07299 | − | 1.27137i | ||||
\(921\) | 1.22678 | + | 0.891308i | 0.0404238 | + | 0.0293696i | ||||
\(922\) | −4.96321 | + | 2.38628i | −0.163455 | + | 0.0785878i | ||||
\(923\) | −32.0206 | − | 62.8440i | −1.05397 | − | 2.06854i | ||||
\(924\) | 11.7236 | − | 7.71735i | 0.385679 | − | 0.253882i | ||||
\(925\) | −2.78924 | − | 5.56841i | −0.0917096 | − | 0.183088i | ||||
\(926\) | −13.8818 | − | 46.3355i | −0.456186 | − | 1.52268i | ||||
\(927\) | −5.45229 | + | 2.77808i | −0.179077 | + | 0.0912441i | ||||
\(928\) | −45.8557 | + | 1.91353i | −1.50529 | + | 0.0628149i | ||||
\(929\) | 1.79123 | − | 2.46542i | 0.0587683 | − | 0.0808877i | −0.778621 | − | 0.627494i | \(-0.784081\pi\) |
0.837390 | + | 0.546606i | \(0.184081\pi\) | |||||||
\(930\) | −6.55763 | − | 2.32461i | −0.215033 | − | 0.0762269i | ||||
\(931\) | −9.70586 | − | 13.3590i | −0.318097 | − | 0.437823i | ||||
\(932\) | −4.30970 | + | 20.9133i | −0.141169 | + | 0.685039i | ||||
\(933\) | −0.0857026 | − | 0.0135740i | −0.00280578 | − | 0.000444391i | ||||
\(934\) | −1.29108 | − | 1.86610i | −0.0422455 | − | 0.0610606i | ||||
\(935\) | −12.5691 | − | 12.6557i | −0.411053 | − | 0.413886i | ||||
\(936\) | −8.40654 | − | 13.4357i | −0.274776 | − | 0.439159i | ||||
\(937\) | −22.1391 | − | 11.2805i | −0.723254 | − | 0.368516i | 0.0532902 | − | 0.998579i | \(-0.483029\pi\) |
−0.776544 | + | 0.630063i | \(0.783029\pi\) | |||||||
\(938\) | 2.79892 | − | 15.3678i | 0.0913881 | − | 0.501777i | ||||
\(939\) | 6.84715 | − | 21.0733i | 0.223448 | − | 0.687703i | ||||
\(940\) | −5.27513 | + | 25.1608i | −0.172056 | + | 0.820653i | ||||
\(941\) | −17.5113 | − | 53.8942i | −0.570851 | − | 1.75690i | −0.649890 | − | 0.760028i | \(-0.725185\pi\) |
0.0790384 | − | 0.996872i | \(-0.474815\pi\) | |||||||
\(942\) | −6.21317 | + | 0.837614i | −0.202436 | + | 0.0272910i | ||||
\(943\) | −31.5892 | + | 31.5892i | −1.02868 | + | 1.02868i | ||||
\(944\) | −11.1666 | − | 49.5034i | −0.363443 | − | 1.61120i | ||||
\(945\) | −1.94704 | + | 2.66061i | −0.0633373 | + | 0.0865497i | ||||
\(946\) | −21.9545 | − | 7.69788i | −0.713804 | − | 0.250280i | ||||
\(947\) | 4.35758 | + | 27.5127i | 0.141602 | + | 0.894042i | 0.951540 | + | 0.307526i | \(0.0995010\pi\) |
−0.809937 | + | 0.586516i | \(0.800499\pi\) | |||||||
\(948\) | 9.16411 | − | 16.1028i | 0.297637 | − | 0.522996i | ||||
\(949\) | 57.1546i | 1.85532i | ||||||||
\(950\) | 16.5880 | + | 17.6124i | 0.538185 | + | 0.571420i | ||||
\(951\) | 31.8961i | 1.03430i | ||||||||
\(952\) | −1.56820 | + | 6.81093i | −0.0508258 | + | 0.220743i | ||||
\(953\) | 8.63132 | + | 54.4960i | 0.279596 | + | 1.76530i | 0.583034 | + | 0.812447i | \(0.301865\pi\) |
−0.303439 | + | 0.952851i | \(0.598135\pi\) | |||||||
\(954\) | −2.03643 | + | 5.80796i | −0.0659319 | + | 0.188040i | ||||
\(955\) | −0.0738928 | + | 21.5161i | −0.00239112 | + | 0.696245i | ||||
\(956\) | 41.6098 | + | 15.6767i | 1.34576 | + | 0.507021i | ||||
\(957\) | −27.3061 | + | 27.3061i | −0.882680 | + | 0.882680i | ||||
\(958\) | 1.22572 | + | 9.09200i | 0.0396011 | + | 0.293749i | ||||
\(959\) | −5.16360 | − | 15.8919i | −0.166741 | − | 0.513177i | ||||
\(960\) | −17.0951 | − | 5.26870i | −0.551740 | − | 0.170047i | ||||
\(961\) | 8.08369 | − | 24.8790i | 0.260764 | − | 0.802550i | ||||
\(962\) | −9.71083 | − | 1.76863i | −0.313090 | − | 0.0570228i | ||||
\(963\) | 10.9923 | + | 5.60087i | 0.354223 | + | 0.180486i | ||||
\(964\) | −39.3369 | + | 10.8025i | −1.26696 | + | 0.347927i | ||||
\(965\) | 22.9015 | − | 11.5700i | 0.737226 | − | 0.372452i | ||||
\(966\) | −13.6813 | + | 9.46558i | −0.440189 | + | 0.304550i | ||||
\(967\) | −42.4566 | − | 6.72446i | −1.36531 | − | 0.216244i | −0.569601 | − | 0.821921i | \(-0.692902\pi\) |
−0.795710 | + | 0.605677i | \(0.792902\pi\) | |||||||
\(968\) | 32.8370 | − | 2.89234i | 1.05542 | − | 0.0929633i | ||||
\(969\) | 3.37051 | + | 4.63911i | 0.108276 | + | 0.149030i | ||||
\(970\) | −8.87740 | + | 6.09697i | −0.285036 | + | 0.195762i | ||||
\(971\) | −0.810009 | + | 1.11488i | −0.0259944 | + | 0.0357783i | −0.821816 | − | 0.569752i | \(-0.807039\pi\) |
0.795822 | + | 0.605531i | \(0.207039\pi\) | |||||||
\(972\) | −1.34747 | − | 1.47795i | −0.0432200 | − | 0.0474053i | ||||
\(973\) | 19.2365 | − | 9.80150i | 0.616695 | − | 0.314222i | ||||
\(974\) | 3.28532 | − | 0.984263i | 0.105268 | − | 0.0315378i | ||||
\(975\) | 22.7789 | − | 16.3120i | 0.729509 | − | 0.522402i | ||||
\(976\) | −11.0236 | + | 25.6109i | −0.352858 | + | 0.819786i | ||||
\(977\) | −9.92504 | − | 19.4790i | −0.317530 | − | 0.623188i | 0.675982 | − | 0.736919i | \(-0.263720\pi\) |
−0.993512 | + | 0.113731i | \(0.963720\pi\) | |||||||
\(978\) | −2.43920 | − | 5.07328i | −0.0779969 | − | 0.162226i | ||||
\(979\) | −7.80842 | − | 5.67315i | −0.249558 | − | 0.181315i | ||||
\(980\) | −7.67858 | + | 20.1706i | −0.245283 | + | 0.644325i | ||||
\(981\) | −11.3000 | + | 8.20994i | −0.360782 | + | 0.262123i | ||||
\(982\) | −16.6674 | − | 8.98278i | −0.531879 | − | 0.286652i | ||||
\(983\) | −1.68880 | + | 10.6627i | −0.0538643 | + | 0.340086i | 0.946009 | + | 0.324142i | \(0.105075\pi\) |
−0.999873 | + | 0.0159443i | \(0.994925\pi\) | |||||||
\(984\) | 14.6874 | + | 5.92404i | 0.468217 | + | 0.188852i | ||||
\(985\) | −0.778703 | + | 4.80957i | −0.0248115 | + | 0.153246i | ||||
\(986\) | 0.443674 | − | 19.2242i | 0.0141295 | − | 0.612223i | ||||
\(987\) | 3.84789 | − | 7.55191i | 0.122480 | − | 0.240380i | ||||
\(988\) | 38.1093 | − | 4.24489i | 1.21242 | − | 0.135048i | ||||
\(989\) | 26.2264 | + | 8.52147i | 0.833950 | + | 0.270967i | ||||
\(990\) | −13.5873 | + | 6.47534i | −0.431834 | + | 0.205800i | ||||
\(991\) | 38.6911 | − | 12.5715i | 1.22906 | − | 0.399347i | 0.378688 | − | 0.925524i | \(-0.376375\pi\) |
0.850375 | + | 0.526178i | \(0.176375\pi\) | |||||||
\(992\) | −3.34913 | + | 11.9868i | −0.106335 | + | 0.380581i | ||||
\(993\) | 13.5923 | + | 13.5923i | 0.431340 | + | 0.431340i | ||||
\(994\) | 20.8722 | + | 15.9131i | 0.662026 | + | 0.504733i | ||||
\(995\) | 6.76671 | − | 20.5850i | 0.214519 | − | 0.652588i | ||||
\(996\) | 12.4455 | + | 0.574767i | 0.394352 | + | 0.0182122i | ||||
\(997\) | −8.40429 | + | 1.33111i | −0.266167 | + | 0.0421567i | −0.288091 | − | 0.957603i | \(-0.593021\pi\) |
0.0219246 | + | 0.999760i | \(0.493021\pi\) | |||||||
\(998\) | 32.2775 | + | 33.8025i | 1.02173 | + | 1.07000i | ||||
\(999\) | −1.24559 | −0.0394086 |
(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 | 300.2.w.a.103.8 | yes | 240 | |
3.2 | odd | 2 | 900.2.bj.f.703.23 | 240 | |||
4.3 | odd | 2 | inner | 300.2.w.a.103.14 | yes | 240 | |
12.11 | even | 2 | 900.2.bj.f.703.17 | 240 | |||
25.17 | odd | 20 | inner | 300.2.w.a.67.14 | yes | 240 | |
75.17 | even | 20 | 900.2.bj.f.667.17 | 240 | |||
100.67 | even | 20 | inner | 300.2.w.a.67.8 | ✓ | 240 | |
300.167 | odd | 20 | 900.2.bj.f.667.23 | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
300.2.w.a.67.8 | ✓ | 240 | 100.67 | even | 20 | inner | |
300.2.w.a.67.14 | yes | 240 | 25.17 | odd | 20 | inner | |
300.2.w.a.103.8 | yes | 240 | 1.1 | even | 1 | trivial | |
300.2.w.a.103.14 | yes | 240 | 4.3 | odd | 2 | inner | |
900.2.bj.f.667.17 | 240 | 75.17 | even | 20 | |||
900.2.bj.f.667.23 | 240 | 300.167 | odd | 20 | |||
900.2.bj.f.703.17 | 240 | 12.11 | even | 2 | |||
900.2.bj.f.703.23 | 240 | 3.2 | odd | 2 |