Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [280,2,Mod(67,280)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(280, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 6, 3, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("280.67");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 280 = 2^{3} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 280.br (of order \(12\), 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: | \(2.23581125660\) |
Analytic rank: | \(0\) |
Dimension: | \(176\) |
Relative dimension: | \(44\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 107.28 | ||
Character | \(\chi\) | \(=\) | 280.107 |
Dual form | 280.2.br.a.123.28 |
$q$-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 \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).
\(n\) | \(57\) | \(71\) | \(141\) | \(241\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(-1\) | \(-1\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.483609 | − | 1.32896i | 0.341963 | − | 0.939713i | ||||
\(3\) | −3.11790 | − | 0.835437i | −1.80012 | − | 0.482340i | −0.806121 | − | 0.591751i | \(-0.798437\pi\) |
−0.993997 | + | 0.109411i | \(0.965104\pi\) | |||||||
\(4\) | −1.53224 | − | 1.28539i | −0.766122 | − | 0.642695i | ||||
\(5\) | −1.40425 | + | 1.74014i | −0.628001 | + | 0.778213i | ||||
\(6\) | −2.61810 | + | 3.73952i | −1.06884 | + | 1.52665i | ||||
\(7\) | 0.0485395 | − | 2.64531i | 0.0183462 | − | 0.999832i | ||||
\(8\) | −2.44923 | + | 1.41466i | −0.865935 | + | 0.500157i | ||||
\(9\) | 6.42524 | + | 3.70961i | 2.14175 | + | 1.23654i | ||||
\(10\) | 1.63345 | + | 2.70773i | 0.516544 | + | 0.856261i | ||||
\(11\) | 1.23882 | + | 2.14570i | 0.373519 | + | 0.646954i | 0.990104 | − | 0.140334i | \(-0.0448177\pi\) |
−0.616585 | + | 0.787288i | \(0.711484\pi\) | |||||||
\(12\) | 3.70352 | + | 5.28780i | 1.06911 | + | 1.52646i | ||||
\(13\) | −0.837650 | − | 0.837650i | −0.232322 | − | 0.232322i | 0.581339 | − | 0.813661i | \(-0.302529\pi\) |
−0.813661 | + | 0.581339i | \(0.802529\pi\) | |||||||
\(14\) | −3.49202 | − | 1.34380i | −0.933281 | − | 0.359146i | ||||
\(15\) | 5.83209 | − | 4.25240i | 1.50584 | − | 1.09796i | ||||
\(16\) | 0.695547 | + | 3.93906i | 0.173887 | + | 0.984766i | ||||
\(17\) | −1.64707 | + | 6.14695i | −0.399473 | + | 1.49085i | 0.414553 | + | 0.910025i | \(0.363938\pi\) |
−0.814026 | + | 0.580828i | \(0.802729\pi\) | |||||||
\(18\) | 8.03721 | − | 6.74485i | 1.89439 | − | 1.58978i | ||||
\(19\) | 0.588582 | + | 0.339818i | 0.135030 | + | 0.0779596i | 0.565993 | − | 0.824410i | \(-0.308493\pi\) |
−0.430963 | + | 0.902369i | \(0.641826\pi\) | |||||||
\(20\) | 4.38841 | − | 0.861304i | 0.981279 | − | 0.192593i | ||||
\(21\) | −2.36133 | + | 8.20723i | −0.515284 | + | 1.79097i | ||||
\(22\) | 3.45065 | − | 0.608659i | 0.735681 | − | 0.129766i | ||||
\(23\) | −2.50284 | + | 0.670633i | −0.521877 | + | 0.139837i | −0.510135 | − | 0.860094i | \(-0.670404\pi\) |
−0.0117425 | + | 0.999931i | \(0.503738\pi\) | |||||||
\(24\) | 8.81831 | − | 2.36458i | 1.80003 | − | 0.482667i | ||||
\(25\) | −1.05615 | − | 4.88718i | −0.211230 | − | 0.977436i | ||||
\(26\) | −1.51829 | + | 0.708105i | −0.297762 | + | 0.138871i | ||||
\(27\) | −10.0867 | − | 10.0867i | −1.94119 | − | 1.94119i | ||||
\(28\) | −3.47462 | + | 3.99086i | −0.656642 | + | 0.754202i | ||||
\(29\) | −3.80356 | −0.706303 | −0.353152 | − | 0.935566i | \(-0.614890\pi\) | ||||
−0.353152 | + | 0.935566i | \(0.614890\pi\) | |||||||
\(30\) | −2.83080 | − | 9.80708i | −0.516831 | − | 1.79052i | ||||
\(31\) | −4.91145 | + | 2.83563i | −0.882123 | + | 0.509294i | −0.871358 | − | 0.490648i | \(-0.836760\pi\) |
−0.0107651 | + | 0.999942i | \(0.503427\pi\) | |||||||
\(32\) | 5.57121 | + | 0.980615i | 0.984860 | + | 0.173350i | ||||
\(33\) | −2.06992 | − | 7.72504i | −0.360327 | − | 1.34476i | ||||
\(34\) | 7.37248 | + | 5.16160i | 1.26437 | + | 0.885207i | ||||
\(35\) | 4.53503 | + | 3.79914i | 0.766560 | + | 0.642172i | ||||
\(36\) | −5.07674 | − | 13.9430i | −0.846123 | − | 2.32383i | ||||
\(37\) | 1.04870 | + | 3.91379i | 0.172405 | + | 0.643423i | 0.996979 | + | 0.0776697i | \(0.0247480\pi\) |
−0.824574 | + | 0.565753i | \(0.808585\pi\) | |||||||
\(38\) | 0.736247 | − | 0.617860i | 0.119435 | − | 0.100230i | ||||
\(39\) | 1.91190 | + | 3.31151i | 0.306149 | + | 0.530266i | ||||
\(40\) | 0.977641 | − | 6.24854i | 0.154579 | − | 0.987980i | ||||
\(41\) | 0.957683 | 0.149565 | 0.0747825 | − | 0.997200i | \(-0.476174\pi\) | ||||
0.0747825 | + | 0.997200i | \(0.476174\pi\) | |||||||
\(42\) | 9.76509 | + | 7.10719i | 1.50679 | + | 1.09666i | ||||
\(43\) | −4.19558 | + | 4.19558i | −0.639820 | + | 0.639820i | −0.950511 | − | 0.310691i | \(-0.899440\pi\) |
0.310691 | + | 0.950511i | \(0.399440\pi\) | |||||||
\(44\) | 0.859886 | − | 4.88011i | 0.129633 | − | 0.735705i | ||||
\(45\) | −15.4779 | + | 5.97156i | −2.30731 | + | 0.890187i | ||||
\(46\) | −0.319153 | + | 3.65048i | −0.0470565 | + | 0.538234i | ||||
\(47\) | 0.232786 | + | 0.868770i | 0.0339554 | + | 0.126723i | 0.980823 | − | 0.194900i | \(-0.0624382\pi\) |
−0.946868 | + | 0.321623i | \(0.895772\pi\) | |||||||
\(48\) | 1.12220 | − | 12.8627i | 0.161975 | − | 1.85657i | ||||
\(49\) | −6.99529 | − | 0.256804i | −0.999327 | − | 0.0366863i | ||||
\(50\) | −7.00561 | − | 0.959908i | −0.990743 | − | 0.135751i | ||||
\(51\) | 10.2708 | − | 17.7895i | 1.43820 | − | 2.49103i | ||||
\(52\) | 0.206778 | + | 2.36019i | 0.0286750 | + | 0.327300i | ||||
\(53\) | −0.712842 | + | 2.66036i | −0.0979164 | + | 0.365429i | −0.997445 | − | 0.0714319i | \(-0.977243\pi\) |
0.899529 | + | 0.436861i | \(0.143910\pi\) | |||||||
\(54\) | −18.2828 | + | 8.52675i | −2.48797 | + | 1.16034i | ||||
\(55\) | −5.47344 | − | 0.857389i | −0.738038 | − | 0.115610i | ||||
\(56\) | 3.62332 | + | 6.54764i | 0.484187 | + | 0.874965i | ||||
\(57\) | −1.55124 | − | 1.55124i | −0.205467 | − | 0.205467i | ||||
\(58\) | −1.83943 | + | 5.05476i | −0.241530 | + | 0.663722i | ||||
\(59\) | −8.10063 | + | 4.67690i | −1.05461 | + | 0.608881i | −0.923937 | − | 0.382544i | \(-0.875048\pi\) |
−0.130675 | + | 0.991425i | \(0.541715\pi\) | |||||||
\(60\) | −14.4022 | − | 0.980789i | −1.85931 | − | 0.126619i | ||||
\(61\) | 1.10707 | + | 0.639170i | 0.141746 | + | 0.0818373i | 0.569196 | − | 0.822202i | \(-0.307255\pi\) |
−0.427450 | + | 0.904039i | \(0.640588\pi\) | |||||||
\(62\) | 1.39320 | + | 7.89844i | 0.176937 | + | 1.00310i | ||||
\(63\) | 10.1249 | − | 16.8167i | 1.27562 | − | 2.11870i | ||||
\(64\) | 3.99748 | − | 6.92966i | 0.499685 | − | 0.866207i | ||||
\(65\) | 2.63390 | − | 0.281354i | 0.326695 | − | 0.0348976i | ||||
\(66\) | −11.2673 | − | 0.985070i | −1.38690 | − | 0.121254i | ||||
\(67\) | 1.72481 | − | 6.43707i | 0.210719 | − | 0.786413i | −0.776911 | − | 0.629610i | \(-0.783215\pi\) |
0.987630 | − | 0.156803i | \(-0.0501188\pi\) | |||||||
\(68\) | 10.4249 | − | 7.30150i | 1.26421 | − | 0.885437i | ||||
\(69\) | 8.36385 | 1.00689 | ||||||||
\(70\) | 7.24207 | − | 4.18956i | 0.865593 | − | 0.500748i | ||||
\(71\) | − | 0.973953i | − | 0.115587i | −0.998329 | − | 0.0577935i | \(-0.981593\pi\) | ||
0.998329 | − | 0.0577935i | \(-0.0184065\pi\) | |||||||
\(72\) | −20.9847 | + | 0.00381367i | −2.47308 | + | 0.000449445i | ||||
\(73\) | 1.64138 | + | 0.439806i | 0.192109 | + | 0.0514754i | 0.353591 | − | 0.935400i | \(-0.384961\pi\) |
−0.161482 | + | 0.986876i | \(0.551627\pi\) | |||||||
\(74\) | 5.70841 | + | 0.499073i | 0.663589 | + | 0.0580160i | ||||
\(75\) | −0.789968 | + | 16.1201i | −0.0912176 | + | 1.86139i | ||||
\(76\) | −0.465053 | − | 1.27724i | −0.0533453 | − | 0.146510i | ||||
\(77\) | 5.73618 | − | 3.17291i | 0.653698 | − | 0.361587i | ||||
\(78\) | 5.32546 | − | 0.939355i | 0.602990 | − | 0.106361i | ||||
\(79\) | −7.01405 | + | 12.1487i | −0.789142 | + | 1.36683i | 0.137351 | + | 0.990522i | \(0.456141\pi\) |
−0.926493 | + | 0.376312i | \(0.877192\pi\) | |||||||
\(80\) | −7.83123 | − | 4.32109i | −0.875558 | − | 0.483113i | ||||
\(81\) | 11.8936 | + | 20.6003i | 1.32151 | + | 2.28893i | ||||
\(82\) | 0.463144 | − | 1.27272i | 0.0511457 | − | 0.140548i | ||||
\(83\) | 10.2393 | − | 10.2393i | 1.12391 | − | 1.12391i | 0.132767 | − | 0.991147i | \(-0.457614\pi\) |
0.991147 | − | 0.132767i | \(-0.0423862\pi\) | |||||||
\(84\) | 14.1676 | − | 9.54026i | 1.54581 | − | 1.04093i | ||||
\(85\) | −8.38363 | − | 11.4980i | −0.909332 | − | 1.24713i | ||||
\(86\) | 3.54672 | + | 7.60476i | 0.382453 | + | 0.820042i | ||||
\(87\) | 11.8591 | + | 3.17763i | 1.27143 | + | 0.340678i | ||||
\(88\) | −6.06961 | − | 3.50282i | −0.647022 | − | 0.373402i | ||||
\(89\) | 3.10863 | + | 1.79477i | 0.329514 | + | 0.190245i | 0.655625 | − | 0.755086i | \(-0.272405\pi\) |
−0.326111 | + | 0.945331i | \(0.605738\pi\) | |||||||
\(90\) | 0.450689 | + | 23.4573i | 0.0475068 | + | 2.47262i | ||||
\(91\) | −2.25650 | + | 2.17518i | −0.236546 | + | 0.228021i | ||||
\(92\) | 4.69698 | + | 2.18955i | 0.489694 | + | 0.228276i | ||||
\(93\) | 17.6824 | − | 4.73798i | 1.83358 | − | 0.491306i | ||||
\(94\) | 1.26713 | + | 0.110783i | 0.130695 | + | 0.0114263i | ||||
\(95\) | −1.41785 | + | 0.547023i | −0.145468 | + | 0.0561234i | ||||
\(96\) | −16.5512 | − | 7.71185i | −1.68925 | − | 0.787088i | ||||
\(97\) | −1.33941 | − | 1.33941i | −0.135997 | − | 0.135997i | 0.635831 | − | 0.771828i | \(-0.280657\pi\) |
−0.771828 | + | 0.635831i | \(0.780657\pi\) | |||||||
\(98\) | −3.72427 | + | 9.17223i | −0.376208 | + | 0.926535i | ||||
\(99\) | 18.3822i | 1.84748i | ||||||||
\(100\) | −4.66365 | + | 8.84592i | −0.466365 | + | 0.884592i | ||||
\(101\) | 13.6226 | − | 7.86501i | 1.35550 | − | 0.782598i | 0.366486 | − | 0.930424i | \(-0.380561\pi\) |
0.989013 | + | 0.147826i | \(0.0472275\pi\) | |||||||
\(102\) | −18.6744 | − | 22.2526i | −1.84904 | − | 2.20333i | ||||
\(103\) | −11.7053 | + | 3.13644i | −1.15336 | + | 0.309042i | −0.784312 | − | 0.620367i | \(-0.786984\pi\) |
−0.369050 | + | 0.929409i | \(0.620317\pi\) | |||||||
\(104\) | 3.23659 | + | 0.866611i | 0.317374 | + | 0.0849782i | ||||
\(105\) | −10.9658 | − | 15.6341i | −1.07015 | − | 1.52573i | ||||
\(106\) | 3.19077 | + | 2.23391i | 0.309915 | + | 0.216977i | ||||
\(107\) | −6.86020 | + | 1.83818i | −0.663201 | + | 0.177704i | −0.574690 | − | 0.818371i | \(-0.694877\pi\) |
−0.0885105 | + | 0.996075i | \(0.528211\pi\) | |||||||
\(108\) | 2.48995 | + | 28.4206i | 0.239596 | + | 2.73477i | ||||
\(109\) | −9.19843 | − | 15.9322i | −0.881050 | − | 1.52602i | −0.850175 | − | 0.526500i | \(-0.823504\pi\) |
−0.0308749 | − | 0.999523i | \(-0.509829\pi\) | |||||||
\(110\) | −3.78644 | + | 6.85932i | −0.361023 | + | 0.654010i | ||||
\(111\) | − | 13.0789i | − | 1.24140i | ||||||
\(112\) | 10.4538 | − | 1.64874i | 0.987790 | − | 0.155791i | ||||
\(113\) | −6.71821 | + | 6.71821i | −0.631996 | + | 0.631996i | −0.948568 | − | 0.316572i | \(-0.897468\pi\) |
0.316572 | + | 0.948568i | \(0.397468\pi\) | |||||||
\(114\) | −2.81172 | + | 1.31134i | −0.263342 | + | 0.122818i | ||||
\(115\) | 2.34762 | − | 5.29701i | 0.218917 | − | 0.493949i | ||||
\(116\) | 5.82798 | + | 4.88905i | 0.541114 | + | 0.453937i | ||||
\(117\) | −2.27474 | − | 8.48946i | −0.210300 | − | 0.784851i | ||||
\(118\) | 2.29786 | + | 13.0272i | 0.211535 | + | 1.19925i | ||||
\(119\) | 16.1806 | + | 4.65537i | 1.48327 | + | 0.426757i | ||||
\(120\) | −8.26845 | + | 18.6655i | −0.754802 | + | 1.70392i | ||||
\(121\) | 2.43063 | − | 4.20998i | 0.220967 | − | 0.382726i | ||||
\(122\) | 1.38482 | − | 1.16214i | 0.125376 | − | 0.105216i | ||||
\(123\) | −2.98596 | − | 0.800084i | −0.269235 | − | 0.0721412i | ||||
\(124\) | 11.1704 | + | 1.96825i | 1.00313 | + | 0.176754i | ||||
\(125\) | 9.98747 | + | 5.02499i | 0.893306 | + | 0.449449i | ||||
\(126\) | −17.4521 | − | 21.5883i | −1.55475 | − | 1.92324i | ||||
\(127\) | −5.67476 | + | 5.67476i | −0.503554 | + | 0.503554i | −0.912540 | − | 0.408987i | \(-0.865882\pi\) |
0.408987 | + | 0.912540i | \(0.365882\pi\) | |||||||
\(128\) | −7.27599 | − | 8.66372i | −0.643112 | − | 0.765772i | ||||
\(129\) | 16.5865 | − | 9.57623i | 1.46036 | − | 0.843140i | ||||
\(130\) | 0.899871 | − | 3.63640i | 0.0789239 | − | 0.318933i | ||||
\(131\) | −2.36463 | + | 4.09566i | −0.206599 | + | 0.357839i | −0.950641 | − | 0.310293i | \(-0.899573\pi\) |
0.744042 | + | 0.668133i | \(0.232906\pi\) | |||||||
\(132\) | −6.75807 | + | 14.4973i | −0.588214 | + | 1.26183i | ||||
\(133\) | 0.927492 | − | 1.54049i | 0.0804238 | − | 0.133577i | ||||
\(134\) | −7.72045 | − | 5.40522i | −0.666945 | − | 0.466940i | ||||
\(135\) | 31.7165 | − | 3.38796i | 2.72972 | − | 0.291589i | ||||
\(136\) | −4.66178 | − | 17.3853i | −0.399744 | − | 1.49078i | ||||
\(137\) | 0.135690 | − | 0.506402i | 0.0115928 | − | 0.0432648i | −0.959887 | − | 0.280387i | \(-0.909537\pi\) |
0.971480 | + | 0.237122i | \(0.0762040\pi\) | |||||||
\(138\) | 4.04483 | − | 11.1152i | 0.344319 | − | 0.946187i | ||||
\(139\) | − | 11.7750i | − | 0.998744i | −0.866388 | − | 0.499372i | \(-0.833564\pi\) | ||
0.866388 | − | 0.499372i | \(-0.166436\pi\) | |||||||
\(140\) | −2.06540 | − | 11.6505i | −0.174558 | − | 0.984647i | ||||
\(141\) | − | 2.90321i | − | 0.244495i | ||||||
\(142\) | −1.29434 | − | 0.471013i | −0.108619 | − | 0.0395265i | ||||
\(143\) | 0.759649 | − | 2.83505i | 0.0635251 | − | 0.237079i | ||||
\(144\) | −10.1433 | + | 27.8896i | −0.845278 | + | 2.32414i | ||||
\(145\) | 5.34116 | − | 6.61871i | 0.443559 | − | 0.549654i | ||||
\(146\) | 1.37827 | − | 1.96862i | 0.114066 | − | 0.162924i | ||||
\(147\) | 21.5960 | + | 6.64481i | 1.78121 | + | 0.548055i | ||||
\(148\) | 3.42389 | − | 7.34487i | 0.281442 | − | 0.603744i | ||||
\(149\) | −2.98171 | + | 5.16447i | −0.244271 | + | 0.423090i | −0.961926 | − | 0.273309i | \(-0.911882\pi\) |
0.717655 | + | 0.696398i | \(0.245215\pi\) | |||||||
\(150\) | 21.0408 | + | 8.84564i | 1.71798 | + | 0.722244i | ||||
\(151\) | −9.64976 | + | 5.57129i | −0.785286 | + | 0.453385i | −0.838300 | − | 0.545209i | \(-0.816450\pi\) |
0.0530143 | + | 0.998594i | \(0.483117\pi\) | |||||||
\(152\) | −1.92230 | 0.000349350i | −0.155919 | 2.83361e-5i | ||||||
\(153\) | −33.3856 | + | 33.3856i | −2.69907 | + | 2.69907i | ||||
\(154\) | −1.44260 | − | 9.15757i | −0.116248 | − | 0.737938i | ||||
\(155\) | 1.96254 | − | 12.5285i | 0.157635 | − | 1.00632i | ||||
\(156\) | 1.32708 | − | 7.53158i | 0.106251 | − | 0.603009i | ||||
\(157\) | 2.84809 | + | 0.763144i | 0.227302 | + | 0.0609055i | 0.370672 | − | 0.928764i | \(-0.379127\pi\) |
−0.143370 | + | 0.989669i | \(0.545794\pi\) | |||||||
\(158\) | 12.7530 | + | 15.1966i | 1.01457 | + | 1.20897i | ||||
\(159\) | 4.44513 | − | 7.69920i | 0.352522 | − | 0.610586i | ||||
\(160\) | −9.52979 | + | 8.31764i | −0.753396 | + | 0.657567i | ||||
\(161\) | 1.65254 | + | 6.65332i | 0.130239 | + | 0.524355i | ||||
\(162\) | 33.1288 | − | 5.84357i | 2.60284 | − | 0.459114i | ||||
\(163\) | 3.26273 | + | 12.1767i | 0.255557 | + | 0.953750i | 0.967780 | + | 0.251797i | \(0.0810217\pi\) |
−0.712223 | + | 0.701953i | \(0.752312\pi\) | |||||||
\(164\) | −1.46740 | − | 1.23100i | −0.114585 | − | 0.0961246i | ||||
\(165\) | 16.3493 | + | 7.24597i | 1.27279 | + | 0.564098i | ||||
\(166\) | −8.65579 | − | 18.5595i | −0.671820 | − | 1.44049i | ||||
\(167\) | −5.02961 | + | 5.02961i | −0.389203 | + | 0.389203i | −0.874403 | − | 0.485200i | \(-0.838747\pi\) |
0.485200 | + | 0.874403i | \(0.338747\pi\) | |||||||
\(168\) | −5.82699 | − | 23.4419i | −0.449562 | − | 1.80858i | ||||
\(169\) | − | 11.5967i | − | 0.892053i | ||||||
\(170\) | −19.3347 | + | 5.58093i | −1.48290 | + | 0.428038i | ||||
\(171\) | 2.52119 | + | 4.36682i | 0.192800 | + | 0.333939i | ||||
\(172\) | 11.8216 | − | 1.03570i | 0.901389 | − | 0.0789714i | ||||
\(173\) | −12.3872 | + | 3.31913i | −0.941780 | + | 0.252349i | −0.696871 | − | 0.717197i | \(-0.745425\pi\) |
−0.244909 | + | 0.969546i | \(0.578758\pi\) | |||||||
\(174\) | 9.95810 | − | 14.2235i | 0.754922 | − | 1.07828i | ||||
\(175\) | −12.9794 | + | 2.55662i | −0.981147 | + | 0.193262i | ||||
\(176\) | −7.59040 | + | 6.37224i | −0.572148 | + | 0.480326i | ||||
\(177\) | 29.1642 | − | 7.81452i | 2.19211 | − | 0.587375i | ||||
\(178\) | 3.88853 | − | 3.26326i | 0.291457 | − | 0.244592i | ||||
\(179\) | −10.1656 | + | 5.86914i | −0.759816 | + | 0.438680i | −0.829230 | − | 0.558908i | \(-0.811220\pi\) |
0.0694139 | + | 0.997588i | \(0.477887\pi\) | |||||||
\(180\) | 31.3917 | + | 10.7452i | 2.33980 | + | 0.800902i | ||||
\(181\) | 23.5539i | 1.75074i | 0.483449 | + | 0.875372i | \(0.339384\pi\) | ||||
−0.483449 | + | 0.875372i | \(0.660616\pi\) | |||||||
\(182\) | 1.79946 | + | 4.05073i | 0.133385 | + | 0.300260i | ||||
\(183\) | −2.91776 | − | 2.91776i | −0.215687 | − | 0.215687i | ||||
\(184\) | 5.18131 | − | 5.18319i | 0.381971 | − | 0.382110i | ||||
\(185\) | −8.28316 | − | 3.67107i | −0.608990 | − | 0.269903i | ||||
\(186\) | 2.25480 | − | 25.7904i | 0.165330 | − | 1.89105i | ||||
\(187\) | −15.2300 | + | 4.08086i | −1.11372 | + | 0.298422i | ||||
\(188\) | 0.760023 | − | 1.63039i | 0.0554304 | − | 0.118908i | ||||
\(189\) | −27.1720 | + | 26.1928i | −1.97647 | + | 1.90525i | ||||
\(190\) | 0.0412852 | + | 2.14880i | 0.00299515 | + | 0.155890i | ||||
\(191\) | 0.802829 | + | 0.463513i | 0.0580906 | + | 0.0335386i | 0.528764 | − | 0.848769i | \(-0.322656\pi\) |
−0.470673 | + | 0.882308i | \(0.655989\pi\) | |||||||
\(192\) | −18.2530 | + | 18.2663i | −1.31730 | + | 1.31826i | ||||
\(193\) | 17.0247 | + | 4.56175i | 1.22546 | + | 0.328362i | 0.812811 | − | 0.582527i | \(-0.197936\pi\) |
0.412652 | + | 0.910889i | \(0.364603\pi\) | |||||||
\(194\) | −2.42777 | + | 1.13227i | −0.174304 | + | 0.0812922i | ||||
\(195\) | −8.44727 | − | 1.32323i | −0.604922 | − | 0.0947582i | ||||
\(196\) | 10.3884 | + | 9.38516i | 0.742029 | + | 0.670368i | ||||
\(197\) | −13.9403 | + | 13.9403i | −0.993204 | + | 0.993204i | −0.999977 | − | 0.00677298i | \(-0.997844\pi\) |
0.00677298 | + | 0.999977i | \(0.497844\pi\) | |||||||
\(198\) | 24.4291 | + | 8.88981i | 1.73610 | + | 0.631771i | ||||
\(199\) | −11.7819 | − | 20.4068i | −0.835197 | − | 1.44660i | −0.893870 | − | 0.448326i | \(-0.852020\pi\) |
0.0586737 | − | 0.998277i | \(-0.481313\pi\) | |||||||
\(200\) | 9.50045 | + | 10.4758i | 0.671783 | + | 0.740748i | ||||
\(201\) | −10.7555 | + | 18.6291i | −0.758637 | + | 1.31400i | ||||
\(202\) | −3.86424 | − | 21.9074i | −0.271887 | − | 1.54140i | ||||
\(203\) | −0.184623 | + | 10.0616i | −0.0129580 | + | 0.706184i | ||||
\(204\) | −38.6038 | + | 14.0559i | −2.70281 | + | 0.984112i | ||||
\(205\) | −1.34483 | + | 1.66650i | −0.0939269 | + | 0.116393i | ||||
\(206\) | −1.49262 | + | 17.0727i | −0.103996 | + | 1.18951i | ||||
\(207\) | −18.5691 | − | 4.97558i | −1.29064 | − | 0.345826i | ||||
\(208\) | 2.71693 | − | 3.88218i | 0.188385 | − | 0.269181i | ||||
\(209\) | 1.68390i | 0.116478i | ||||||||
\(210\) | −26.0801 | + | 7.01230i | −1.79970 | + | 0.483894i | ||||
\(211\) | 15.8848 | 1.09356 | 0.546778 | − | 0.837277i | \(-0.315854\pi\) | ||||
0.546778 | + | 0.837277i | \(0.315854\pi\) | |||||||
\(212\) | 4.51185 | − | 3.16005i | 0.309875 | − | 0.217033i | ||||
\(213\) | −0.813677 | + | 3.03668i | −0.0557522 | + | 0.208070i | ||||
\(214\) | −0.874789 | + | 10.0059i | −0.0597993 | + | 0.683987i | ||||
\(215\) | −1.40923 | − | 13.1925i | −0.0961087 | − | 0.899724i | ||||
\(216\) | 38.9739 | + | 10.4354i | 2.65184 | + | 0.710041i | ||||
\(217\) | 7.26271 | + | 13.1299i | 0.493025 | + | 0.891318i | ||||
\(218\) | −25.6216 | + | 4.51937i | −1.73531 | + | 0.306091i | ||||
\(219\) | −4.75021 | − | 2.74254i | −0.320990 | − | 0.185323i | ||||
\(220\) | 7.28457 | + | 8.34923i | 0.491126 | + | 0.562905i | ||||
\(221\) | 6.52866 | − | 3.76932i | 0.439165 | − | 0.253552i | ||||
\(222\) | −17.3813 | − | 6.32508i | −1.16656 | − | 0.424511i | ||||
\(223\) | 10.5242 | + | 10.5242i | 0.704754 | + | 0.704754i | 0.965427 | − | 0.260673i | \(-0.0839445\pi\) |
−0.260673 | + | 0.965427i | \(0.583945\pi\) | |||||||
\(224\) | 2.86445 | − | 14.6900i | 0.191389 | − | 0.981514i | ||||
\(225\) | 11.3435 | − | 35.3192i | 0.756235 | − | 2.35461i | ||||
\(226\) | 5.67922 | + | 12.1772i | 0.377776 | + | 0.810015i | ||||
\(227\) | −1.05614 | + | 3.94156i | −0.0700984 | + | 0.261611i | −0.992077 | − | 0.125630i | \(-0.959905\pi\) |
0.921979 | + | 0.387240i | \(0.126572\pi\) | |||||||
\(228\) | 0.382932 | + | 4.37083i | 0.0253603 | + | 0.289465i | ||||
\(229\) | 7.79525 | − | 13.5018i | 0.515124 | − | 0.892222i | −0.484722 | − | 0.874669i | \(-0.661079\pi\) |
0.999846 | − | 0.0175530i | \(-0.00558760\pi\) | |||||||
\(230\) | −5.90416 | − | 5.68157i | −0.389309 | − | 0.374631i | ||||
\(231\) | −20.5356 | + | 5.10060i | −1.35114 | + | 0.335595i | ||||
\(232\) | 9.31580 | − | 5.38074i | 0.611612 | − | 0.353263i | ||||
\(233\) | −2.07293 | − | 7.73629i | −0.135802 | − | 0.506821i | −0.999993 | − | 0.00365716i | \(-0.998836\pi\) |
0.864191 | − | 0.503164i | \(-0.167831\pi\) | |||||||
\(234\) | −12.3822 | − | 1.08255i | −0.809450 | − | 0.0707683i | ||||
\(235\) | −1.83867 | − | 0.814893i | −0.119942 | − | 0.0531577i | ||||
\(236\) | 18.4238 | + | 3.24631i | 1.19929 | + | 0.211317i | ||||
\(237\) | 32.0185 | − | 32.0185i | 2.07983 | − | 2.07983i | ||||
\(238\) | 14.0119 | − | 19.2519i | 0.908255 | − | 1.24792i | ||||
\(239\) | 20.1233 | 1.30166 | 0.650832 | − | 0.759221i | \(-0.274420\pi\) | ||||
0.650832 | + | 0.759221i | \(0.274420\pi\) | |||||||
\(240\) | 20.8070 | + | 20.0152i | 1.34308 | + | 1.29198i | ||||
\(241\) | −13.0242 | − | 22.5586i | −0.838962 | − | 1.45313i | −0.890763 | − | 0.454468i | \(-0.849829\pi\) |
0.0518006 | − | 0.998657i | \(-0.483504\pi\) | |||||||
\(242\) | −4.41940 | − | 5.26619i | −0.284090 | − | 0.338524i | ||||
\(243\) | −8.79678 | − | 32.8300i | −0.564314 | − | 2.10605i | ||||
\(244\) | −0.874727 | − | 2.40239i | −0.0559987 | − | 0.153797i | ||||
\(245\) | 10.2700 | − | 11.8121i | 0.656128 | − | 0.754650i | ||||
\(246\) | −2.50731 | + | 3.58127i | −0.159860 | + | 0.228334i | ||||
\(247\) | −0.208377 | − | 0.777675i | −0.0132587 | − | 0.0494823i | ||||
\(248\) | 8.01784 | − | 13.8931i | 0.509134 | − | 0.882215i | ||||
\(249\) | −40.4795 | + | 23.3709i | −2.56529 | + | 1.48107i | ||||
\(250\) | 11.5080 | − | 10.8428i | 0.727831 | − | 0.685757i | ||||
\(251\) | 6.32744 | 0.399385 | 0.199692 | − | 0.979859i | \(-0.436006\pi\) | ||||
0.199692 | + | 0.979859i | \(0.436006\pi\) | |||||||
\(252\) | −37.1298 | + | 12.7527i | −2.33896 | + | 0.803347i | ||||
\(253\) | −4.53955 | − | 4.53955i | −0.285399 | − | 0.285399i | ||||
\(254\) | 4.79714 | + | 10.2859i | 0.300999 | + | 0.645393i | ||||
\(255\) | 16.5334 | + | 42.8535i | 1.03536 | + | 2.68359i | ||||
\(256\) | −15.0324 | + | 5.47961i | −0.939527 | + | 0.342476i | ||||
\(257\) | 4.90245 | − | 1.31361i | 0.305807 | − | 0.0819406i | −0.102652 | − | 0.994717i | \(-0.532733\pi\) |
0.408459 | + | 0.912777i | \(0.366066\pi\) | |||||||
\(258\) | −4.70500 | − | 26.6739i | −0.292920 | − | 1.66064i | ||||
\(259\) | 10.4041 | − | 2.58415i | 0.646478 | − | 0.160571i | ||||
\(260\) | −4.39743 | − | 2.95448i | −0.272717 | − | 0.183229i | ||||
\(261\) | −24.4388 | − | 14.1097i | −1.51272 | − | 0.873370i | ||||
\(262\) | 4.29939 | + | 5.12318i | 0.265617 | + | 0.316511i | ||||
\(263\) | −3.12146 | + | 11.6494i | −0.192477 | + | 0.718335i | 0.800428 | + | 0.599429i | \(0.204605\pi\) |
−0.992905 | + | 0.118906i | \(0.962061\pi\) | |||||||
\(264\) | 15.9980 | + | 15.9922i | 0.984609 | + | 0.984252i | ||||
\(265\) | −3.62839 | − | 4.97626i | −0.222890 | − | 0.305689i | ||||
\(266\) | −1.59869 | − | 1.97759i | −0.0980221 | − | 0.121254i | ||||
\(267\) | −8.19296 | − | 8.19296i | −0.501401 | − | 0.501401i | ||||
\(268\) | −10.9170 | + | 7.64612i | −0.666860 | + | 0.467061i | ||||
\(269\) | −5.01963 | − | 8.69425i | −0.306052 | − | 0.530098i | 0.671443 | − | 0.741056i | \(-0.265675\pi\) |
−0.977495 | + | 0.210958i | \(0.932342\pi\) | |||||||
\(270\) | 10.8359 | − | 43.7882i | 0.659454 | − | 2.66487i | ||||
\(271\) | 12.6819 | + | 7.32189i | 0.770370 | + | 0.444773i | 0.833007 | − | 0.553263i | \(-0.186618\pi\) |
−0.0626365 | + | 0.998036i | \(0.519951\pi\) | |||||||
\(272\) | −25.3588 | − | 2.21242i | −1.53760 | − | 0.134148i | ||||
\(273\) | 8.85276 | − | 4.89682i | 0.535793 | − | 0.296369i | ||||
\(274\) | −0.607364 | − | 0.425226i | −0.0366922 | − | 0.0256889i | ||||
\(275\) | 9.17806 | − | 8.32054i | 0.553458 | − | 0.501748i | ||||
\(276\) | −12.8155 | − | 10.7508i | −0.771400 | − | 0.647122i | ||||
\(277\) | 9.74008 | + | 2.60985i | 0.585225 | + | 0.156810i | 0.539270 | − | 0.842133i | \(-0.318700\pi\) |
0.0459549 | + | 0.998944i | \(0.485367\pi\) | |||||||
\(278\) | −15.6485 | − | 5.69450i | −0.938533 | − | 0.341534i | ||||
\(279\) | −42.0763 | −2.51904 | ||||||||
\(280\) | −16.4818 | − | 2.88946i | −0.984978 | − | 0.172678i | ||||
\(281\) | −26.8015 | −1.59884 | −0.799420 | − | 0.600772i | \(-0.794860\pi\) | ||||
−0.799420 | + | 0.600772i | \(0.794860\pi\) | |||||||
\(282\) | −3.85824 | − | 1.40402i | −0.229755 | − | 0.0836082i | ||||
\(283\) | −0.403110 | − | 0.108013i | −0.0239624 | − | 0.00642071i | 0.246818 | − | 0.969062i | \(-0.420615\pi\) |
−0.270780 | + | 0.962641i | \(0.587282\pi\) | |||||||
\(284\) | −1.25191 | + | 1.49233i | −0.0742872 | + | 0.0885538i | ||||
\(285\) | 4.87770 | − | 0.521037i | 0.288930 | − | 0.0308636i | ||||
\(286\) | −3.40028 | − | 2.38060i | −0.201063 | − | 0.140768i | ||||
\(287\) | 0.0464855 | − | 2.53336i | 0.00274395 | − | 0.149540i | ||||
\(288\) | 32.1587 | + | 26.9677i | 1.89497 | + | 1.58909i | ||||
\(289\) | −20.3497 | − | 11.7489i | −1.19704 | − | 0.691111i | ||||
\(290\) | −6.21294 | − | 10.2990i | −0.364836 | − | 0.604780i | ||||
\(291\) | 3.05716 | + | 5.29515i | 0.179214 | + | 0.310407i | ||||
\(292\) | −1.94967 | − | 2.78370i | −0.114096 | − | 0.162904i | ||||
\(293\) | −19.1952 | − | 19.1952i | −1.12139 | − | 1.12139i | −0.991532 | − | 0.129862i | \(-0.958547\pi\) |
−0.129862 | − | 0.991532i | \(-0.541453\pi\) | |||||||
\(294\) | 19.2747 | − | 25.4867i | 1.12412 | − | 1.48641i | ||||
\(295\) | 3.23688 | − | 20.6638i | 0.188459 | − | 1.20309i | ||||
\(296\) | −8.10518 | − | 8.10223i | −0.471104 | − | 0.470933i | ||||
\(297\) | 9.14744 | − | 34.1387i | 0.530788 | − | 1.98093i | ||||
\(298\) | 5.42137 | + | 6.46014i | 0.314051 | + | 0.374226i | ||||
\(299\) | 2.65826 | + | 1.53475i | 0.153731 | + | 0.0887566i | ||||
\(300\) | 21.9310 | − | 23.6845i | 1.26619 | − | 1.36742i | ||||
\(301\) | 10.8949 | + | 11.3022i | 0.627974 | + | 0.651451i | ||||
\(302\) | 2.73729 | + | 15.5184i | 0.157513 | + | 0.892985i | ||||
\(303\) | −49.0446 | + | 13.1414i | −2.81754 | + | 0.754957i | ||||
\(304\) | −0.929178 | + | 2.55482i | −0.0532920 | + | 0.146529i | ||||
\(305\) | −2.66686 | + | 1.02891i | −0.152704 | + | 0.0589150i | ||||
\(306\) | 28.2224 | + | 60.5136i | 1.61337 | + | 3.45933i | ||||
\(307\) | 0.845235 | + | 0.845235i | 0.0482401 | + | 0.0482401i | 0.730815 | − | 0.682575i | \(-0.239140\pi\) |
−0.682575 | + | 0.730815i | \(0.739140\pi\) | |||||||
\(308\) | −12.8677 | − | 2.51154i | −0.733203 | − | 0.143108i | ||||
\(309\) | 39.1163 | 2.22525 | ||||||||
\(310\) | −15.7008 | − | 8.66704i | −0.891744 | − | 0.492255i | ||||
\(311\) | 9.37338 | − | 5.41173i | 0.531516 | − | 0.306871i | −0.210118 | − | 0.977676i | \(-0.567385\pi\) |
0.741634 | + | 0.670805i | \(0.234051\pi\) | |||||||
\(312\) | −9.36735 | − | 5.40597i | −0.530322 | − | 0.306053i | ||||
\(313\) | 2.14097 | + | 7.99023i | 0.121015 | + | 0.451634i | 0.999666 | − | 0.0258297i | \(-0.00822277\pi\) |
−0.878651 | + | 0.477464i | \(0.841556\pi\) | |||||||
\(314\) | 2.39155 | − | 3.41592i | 0.134963 | − | 0.192772i | ||||
\(315\) | 15.0453 | + | 41.2336i | 0.847707 | + | 2.32325i | ||||
\(316\) | 26.3630 | − | 9.59898i | 1.48304 | − | 0.539985i | ||||
\(317\) | −1.64727 | − | 6.14770i | −0.0925199 | − | 0.345289i | 0.904112 | − | 0.427296i | \(-0.140534\pi\) |
−0.996632 | + | 0.0820068i | \(0.973867\pi\) | |||||||
\(318\) | −8.08218 | − | 9.63079i | −0.453226 | − | 0.540068i | ||||
\(319\) | −4.71194 | − | 8.16131i | −0.263818 | − | 0.456946i | ||||
\(320\) | 6.44508 | + | 16.6872i | 0.360291 | + | 0.932840i | ||||
\(321\) | 22.9251 | 1.27955 | ||||||||
\(322\) | 9.64115 | + | 1.02145i | 0.537280 | + | 0.0569232i | ||||
\(323\) | −3.05828 | + | 3.05828i | −0.170167 | + | 0.170167i | ||||
\(324\) | 8.25554 | − | 46.8527i | 0.458641 | − | 2.60293i | ||||
\(325\) | −3.20906 | + | 4.97843i | −0.178007 | + | 0.276154i | ||||
\(326\) | 17.7601 | + | 1.55273i | 0.983643 | + | 0.0859976i | ||||
\(327\) | 15.3694 | + | 57.3595i | 0.849931 | + | 3.17199i | ||||
\(328\) | −2.34559 | + | 1.35479i | −0.129513 | + | 0.0748060i | ||||
\(329\) | 2.30946 | − | 0.573621i | 0.127325 | − | 0.0316248i | ||||
\(330\) | 17.5362 | − | 18.2233i | 0.965338 | − | 1.00316i | ||||
\(331\) | 6.11818 | − | 10.5970i | 0.336285 | − | 0.582464i | −0.647445 | − | 0.762112i | \(-0.724163\pi\) |
0.983731 | + | 0.179648i | \(0.0574960\pi\) | |||||||
\(332\) | −28.8507 | + | 2.52763i | −1.58339 | + | 0.138722i | ||||
\(333\) | −7.78052 | + | 29.0373i | −0.426370 | + | 1.59123i | ||||
\(334\) | 4.25176 | + | 9.11649i | 0.232646 | + | 0.498832i | ||||
\(335\) | 8.77932 | + | 12.0407i | 0.479665 | + | 0.657852i | ||||
\(336\) | −33.9712 | − | 3.59290i | −1.85328 | − | 0.196009i | ||||
\(337\) | −6.59159 | − | 6.59159i | −0.359067 | − | 0.359067i | 0.504402 | − | 0.863469i | \(-0.331713\pi\) |
−0.863469 | + | 0.504402i | \(0.831713\pi\) | |||||||
\(338\) | −15.4115 | − | 5.60826i | −0.838274 | − | 0.305049i | ||||
\(339\) | 26.5593 | − | 15.3340i | 1.44251 | − | 0.832831i | ||||
\(340\) | −1.93363 | + | 28.3940i | −0.104866 | + | 1.53988i | ||||
\(341\) | −12.1688 | − | 7.02568i | −0.658980 | − | 0.380462i | ||||
\(342\) | 7.02258 | − | 1.23871i | 0.379738 | − | 0.0669817i | ||||
\(343\) | −1.01887 | + | 18.4922i | −0.0550139 | + | 0.998486i | ||||
\(344\) | 4.34064 | − | 16.2113i | 0.234032 | − | 0.874053i | ||||
\(345\) | −11.7450 | + | 14.5542i | −0.632327 | + | 0.783574i | ||||
\(346\) | −1.57957 | + | 18.0672i | −0.0849182 | + | 0.971297i | ||||
\(347\) | 0.151819 | − | 0.566595i | 0.00815005 | − | 0.0304164i | −0.961731 | − | 0.273995i | \(-0.911655\pi\) |
0.969881 | + | 0.243579i | \(0.0783214\pi\) | |||||||
\(348\) | −14.0865 | − | 20.1125i | −0.755118 | − | 1.07814i | ||||
\(349\) | 12.1672 | 0.651293 | 0.325647 | − | 0.945492i | \(-0.394418\pi\) | ||||
0.325647 | + | 0.945492i | \(0.394418\pi\) | |||||||
\(350\) | −2.87930 | + | 18.4854i | −0.153905 | + | 0.988086i | ||||
\(351\) | 16.8982i | 0.901961i | ||||||||
\(352\) | 4.79764 | + | 13.1690i | 0.255715 | + | 0.701909i | ||||
\(353\) | 25.1345 | + | 6.73476i | 1.33777 | + | 0.358455i | 0.855607 | − | 0.517626i | \(-0.173184\pi\) |
0.482165 | + | 0.876081i | \(0.339851\pi\) | |||||||
\(354\) | 3.71891 | − | 42.5371i | 0.197658 | − | 2.26082i | ||||
\(355\) | 1.69481 | + | 1.36768i | 0.0899513 | + | 0.0725887i | ||||
\(356\) | −2.45620 | − | 6.74582i | −0.130179 | − | 0.357528i | ||||
\(357\) | −46.5602 | − | 28.0328i | −2.46423 | − | 1.48366i | ||||
\(358\) | 2.88362 | + | 16.3480i | 0.152404 | + | 0.864021i | ||||
\(359\) | 16.4719 | − | 28.5301i | 0.869352 | − | 1.50576i | 0.00669297 | − | 0.999978i | \(-0.497870\pi\) |
0.862660 | − | 0.505785i | \(-0.168797\pi\) | |||||||
\(360\) | 29.4612 | − | 36.5217i | 1.55274 | − | 1.92486i | ||||
\(361\) | −9.26905 | − | 16.0545i | −0.487845 | − | 0.844972i | ||||
\(362\) | 31.3020 | + | 11.3909i | 1.64520 | + | 0.598690i | ||||
\(363\) | −11.0956 | + | 11.0956i | −0.582370 | + | 0.582370i | ||||
\(364\) | 6.25347 | − | 0.432429i | 0.327771 | − | 0.0226654i | ||||
\(365\) | −3.07023 | + | 2.23862i | −0.160703 | + | 0.117175i | ||||
\(366\) | −5.28862 | + | 2.46651i | −0.276441 | + | 0.128927i | ||||
\(367\) | −23.6589 | − | 6.33938i | −1.23498 | − | 0.330913i | −0.418465 | − | 0.908233i | \(-0.637432\pi\) |
−0.816518 | + | 0.577320i | \(0.804098\pi\) | |||||||
\(368\) | −4.38250 | − | 9.39237i | −0.228454 | − | 0.489611i | ||||
\(369\) | 6.15334 | + | 3.55263i | 0.320330 | + | 0.184943i | ||||
\(370\) | −8.88451 | + | 9.23259i | −0.461883 | + | 0.479980i | ||||
\(371\) | 7.00287 | + | 2.01482i | 0.363571 | + | 0.104604i | ||||
\(372\) | −33.1839 | − | 15.4690i | −1.72050 | − | 0.802031i | ||||
\(373\) | 25.6699 | − | 6.87822i | 1.32914 | − | 0.356141i | 0.476743 | − | 0.879043i | \(-0.341817\pi\) |
0.852393 | + | 0.522902i | \(0.175151\pi\) | |||||||
\(374\) | −1.94207 | + | 22.2135i | −0.100422 | + | 1.14863i | ||||
\(375\) | −26.9418 | − | 24.0113i | −1.39127 | − | 1.23994i | ||||
\(376\) | −1.79916 | − | 1.79851i | −0.0927847 | − | 0.0927509i | ||||
\(377\) | 3.18605 | + | 3.18605i | 0.164090 | + | 0.164090i | ||||
\(378\) | 21.6684 | + | 48.7774i | 1.11450 | + | 2.50884i | ||||
\(379\) | 27.8207i | 1.42905i | 0.699608 | + | 0.714527i | \(0.253358\pi\) | ||||
−0.699608 | + | 0.714527i | \(0.746642\pi\) | |||||||
\(380\) | 2.87563 | + | 0.984314i | 0.147517 | + | 0.0504942i | ||||
\(381\) | 22.4342 | − | 12.9524i | 1.14934 | − | 0.663572i | ||||
\(382\) | 1.00424 | − | 0.842764i | 0.0513816 | − | 0.0431196i | ||||
\(383\) | 16.7829 | − | 4.49695i | 0.857564 | − | 0.229784i | 0.196861 | − | 0.980431i | \(-0.436925\pi\) |
0.660703 | + | 0.750648i | \(0.270258\pi\) | |||||||
\(384\) | 15.4478 | + | 33.0912i | 0.788315 | + | 1.68868i | ||||
\(385\) | −2.53374 | + | 14.4373i | −0.129131 | + | 0.735793i | ||||
\(386\) | 14.2956 | − | 20.4189i | 0.727629 | − | 1.03930i | ||||
\(387\) | −42.5216 | + | 11.3936i | −2.16149 | + | 0.579170i | ||||
\(388\) | 0.330641 | + | 3.77398i | 0.0167858 | + | 0.191595i | ||||
\(389\) | 11.9011 | + | 20.6132i | 0.603408 | + | 1.04513i | 0.992301 | + | 0.123850i | \(0.0395241\pi\) |
−0.388893 | + | 0.921283i | \(0.627143\pi\) | |||||||
\(390\) | −5.84369 | + | 10.5861i | −0.295906 | + | 0.536049i | ||||
\(391\) | − | 16.4894i | − | 0.833904i | ||||||
\(392\) | 17.4964 | − | 9.26697i | 0.883701 | − | 0.468053i | ||||
\(393\) | 10.7943 | − | 10.7943i | 0.544502 | − | 0.544502i | ||||
\(394\) | 11.7844 | + | 25.2677i | 0.593688 | + | 1.27297i | ||||
\(395\) | −11.2909 | − | 29.2652i | −0.568106 | − | 1.47249i | ||||
\(396\) | 23.6283 | − | 28.1661i | 1.18737 | − | 1.41540i | ||||
\(397\) | −1.93211 | − | 7.21071i | −0.0969696 | − | 0.361895i | 0.900341 | − | 0.435185i | \(-0.143317\pi\) |
−0.997311 | + | 0.0732894i | \(0.976650\pi\) | |||||||
\(398\) | −32.8176 | + | 5.78868i | −1.64500 | + | 0.290160i | ||||
\(399\) | −4.17880 | + | 4.02821i | −0.209202 | + | 0.201663i | ||||
\(400\) | 18.5163 | − | 7.55951i | 0.925816 | − | 0.377975i | ||||
\(401\) | −6.05602 | + | 10.4893i | −0.302423 | + | 0.523813i | −0.976684 | − | 0.214681i | \(-0.931129\pi\) |
0.674261 | + | 0.738493i | \(0.264462\pi\) | |||||||
\(402\) | 19.5558 | + | 23.3029i | 0.975356 | + | 1.16224i | ||||
\(403\) | 6.48934 | + | 1.73881i | 0.323257 | + | 0.0866165i | ||||
\(404\) | −30.9828 | − | 5.45923i | −1.54145 | − | 0.271607i | ||||
\(405\) | −52.5490 | − | 8.23157i | −2.61118 | − | 0.409030i | ||||
\(406\) | 13.2821 | + | 5.11122i | 0.659179 | + | 0.253666i | ||||
\(407\) | −7.09869 | + | 7.09869i | −0.351869 | + | 0.351869i | ||||
\(408\) | 0.0105589 | + | 58.1003i | 0.000522743 | + | 2.87639i | ||||
\(409\) | −4.03201 | + | 2.32788i | −0.199370 | + | 0.115106i | −0.596362 | − | 0.802716i | \(-0.703388\pi\) |
0.396991 | + | 0.917822i | \(0.370054\pi\) | |||||||
\(410\) | 1.56433 | + | 2.59315i | 0.0772569 | + | 0.128067i | ||||
\(411\) | −0.846134 | + | 1.46555i | −0.0417367 | + | 0.0722901i | ||||
\(412\) | 21.9670 | + | 10.2401i | 1.08224 | + | 0.504495i | ||||
\(413\) | 11.9786 | + | 21.6557i | 0.589430 | + | 1.06561i | ||||
\(414\) | −15.5925 | + | 22.2713i | −0.766330 | + | 1.09457i | ||||
\(415\) | 3.43924 | + | 32.1965i | 0.168825 | + | 1.58046i | ||||
\(416\) | −3.84531 | − | 5.48814i | −0.188532 | − | 0.269078i | ||||
\(417\) | −9.83729 | + | 36.7133i | −0.481734 | + | 1.79786i | ||||
\(418\) | 2.23783 | + | 0.814348i | 0.109456 | + | 0.0398311i | ||||
\(419\) | 29.5695i | 1.44456i | 0.691599 | + | 0.722282i | \(0.256907\pi\) | ||||
−0.691599 | + | 0.722282i | \(0.743093\pi\) | |||||||
\(420\) | −3.29356 | + | 38.0505i | −0.160709 | + | 1.85668i | ||||
\(421\) | 19.5111i | 0.950915i | 0.879739 | + | 0.475457i | \(0.157717\pi\) | ||||
−0.879739 | + | 0.475457i | \(0.842283\pi\) | |||||||
\(422\) | 7.68204 | − | 21.1102i | 0.373956 | − | 1.02763i | ||||
\(423\) | −1.72709 | + | 6.44560i | −0.0839742 | + | 0.313396i | ||||
\(424\) | −2.01759 | − | 7.52428i | −0.0979828 | − | 0.365411i | ||||
\(425\) | 31.7808 | + | 1.55743i | 1.54160 | + | 0.0755462i | ||||
\(426\) | 3.64212 | + | 2.54991i | 0.176461 | + | 0.123543i | ||||
\(427\) | 1.74454 | − | 2.89753i | 0.0844241 | − | 0.140221i | ||||
\(428\) | 12.8743 | + | 6.00148i | 0.622302 | + | 0.290092i | ||||
\(429\) | −4.73701 | + | 8.20475i | −0.228705 | + | 0.396129i | ||||
\(430\) | −18.2138 | − | 4.50723i | −0.878348 | − | 0.217358i | ||||
\(431\) | 25.4008 | − | 14.6652i | 1.22351 | − | 0.706396i | 0.257848 | − | 0.966185i | \(-0.416987\pi\) |
0.965665 | + | 0.259790i | \(0.0836532\pi\) | |||||||
\(432\) | 32.7163 | − | 46.7479i | 1.57407 | − | 2.24916i | ||||
\(433\) | 13.6380 | − | 13.6380i | 0.655402 | − | 0.655402i | −0.298887 | − | 0.954289i | \(-0.596615\pi\) |
0.954289 | + | 0.298887i | \(0.0966152\pi\) | |||||||
\(434\) | 20.9614 | − | 3.30206i | 1.00618 | − | 0.158504i | ||||
\(435\) | −22.1827 | + | 16.1742i | −1.06358 | + | 0.775496i | ||||
\(436\) | −6.38477 | + | 36.2355i | −0.305775 | + | 1.73537i | ||||
\(437\) | −1.70102 | − | 0.455786i | −0.0813707 | − | 0.0218032i | ||||
\(438\) | −5.94196 | + | 4.98651i | −0.283918 | + | 0.238264i | ||||
\(439\) | −2.91490 | + | 5.04875i | −0.139121 | + | 0.240964i | −0.927164 | − | 0.374656i | \(-0.877761\pi\) |
0.788043 | + | 0.615620i | \(0.211094\pi\) | |||||||
\(440\) | 14.6186 | − | 5.64310i | 0.696916 | − | 0.269024i | ||||
\(441\) | −43.9937 | − | 27.5998i | −2.09494 | − | 1.31428i | ||||
\(442\) | −1.85194 | − | 10.4992i | −0.0880880 | − | 0.499395i | ||||
\(443\) | −5.09607 | − | 19.0188i | −0.242121 | − | 0.903610i | −0.974808 | − | 0.223044i | \(-0.928401\pi\) |
0.732687 | − | 0.680566i | \(-0.238266\pi\) | |||||||
\(444\) | −16.8115 | + | 20.0401i | −0.797838 | + | 0.951060i | ||||
\(445\) | −7.48844 | + | 2.88913i | −0.354986 | + | 0.136958i | ||||
\(446\) | 19.0758 | − | 8.89661i | 0.903266 | − | 0.421267i | ||||
\(447\) | 13.6112 | − | 13.6112i | 0.643790 | − | 0.643790i | ||||
\(448\) | −18.1370 | − | 10.9109i | −0.856894 | − | 0.515493i | ||||
\(449\) | 15.7430i | 0.742959i | 0.928441 | + | 0.371480i | \(0.121149\pi\) | ||||
−0.928441 | + | 0.371480i | \(0.878851\pi\) | |||||||
\(450\) | −41.4518 | − | 32.1557i | −1.95406 | − | 1.51584i | ||||
\(451\) | 1.18640 | + | 2.05491i | 0.0558654 | + | 0.0967617i | ||||
\(452\) | 18.9295 | − | 1.65843i | 0.890367 | − | 0.0780058i | ||||
\(453\) | 34.7414 | − | 9.30893i | 1.63229 | − | 0.437372i | ||||
\(454\) | 4.72740 | + | 3.30974i | 0.221868 | + | 0.155334i | ||||
\(455\) | −0.616418 | − | 6.98112i | −0.0288981 | − | 0.327280i | ||||
\(456\) | 5.99383 | + | 1.60487i | 0.280687 | + | 0.0751551i | ||||
\(457\) | −2.28368 | + | 0.611909i | −0.106826 | + | 0.0286239i | −0.311836 | − | 0.950136i | \(-0.600944\pi\) |
0.205010 | + | 0.978760i | \(0.434277\pi\) | |||||||
\(458\) | −14.1734 | − | 16.8891i | −0.662279 | − | 0.789176i | ||||
\(459\) | 78.6159 | − | 45.3889i | 3.66947 | − | 2.11857i | ||||
\(460\) | −10.4059 | + | 5.09871i | −0.485175 | + | 0.237729i | ||||
\(461\) | 14.0164i | 0.652807i | 0.945231 | + | 0.326404i | \(0.105837\pi\) | ||||
−0.945231 | + | 0.326404i | \(0.894163\pi\) | |||||||
\(462\) | −3.15272 | + | 29.7576i | −0.146678 | + | 1.38445i | ||||
\(463\) | −6.78988 | − | 6.78988i | −0.315553 | − | 0.315553i | 0.531503 | − | 0.847056i | \(-0.321627\pi\) |
−0.847056 | + | 0.531503i | \(0.821627\pi\) | |||||||
\(464\) | −2.64555 | − | 14.9825i | −0.122817 | − | 0.695543i | ||||
\(465\) | −16.5858 | + | 37.4231i | −0.769148 | + | 1.73545i | ||||
\(466\) | −11.2837 | − | 0.986504i | −0.522706 | − | 0.0456989i | ||||
\(467\) | −30.2460 | + | 8.10439i | −1.39962 | + | 0.375026i | −0.878208 | − | 0.478280i | \(-0.841261\pi\) |
−0.521410 | + | 0.853306i | \(0.674594\pi\) | |||||||
\(468\) | −7.42680 | + | 15.9319i | −0.343304 | + | 0.736451i | ||||
\(469\) | −16.9443 | − | 4.87510i | −0.782415 | − | 0.225111i | ||||
\(470\) | −1.97215 | + | 2.04942i | −0.0909687 | + | 0.0945327i | ||||
\(471\) | −8.24249 | − | 4.75880i | −0.379794 | − | 0.219274i | ||||
\(472\) | 13.2241 | − | 22.9145i | 0.608689 | − | 1.05472i | ||||
\(473\) | −14.2001 | − | 3.80489i | −0.652919 | − | 0.174949i | ||||
\(474\) | −27.0668 | − | 58.0357i | −1.24322 | − | 2.66567i | ||||
\(475\) | 1.03912 | − | 3.23541i | 0.0476782 | − | 0.148451i | ||||
\(476\) | −18.8087 | − | 27.9316i | −0.862094 | − | 1.28024i | ||||
\(477\) | −14.4491 | + | 14.4491i | −0.661579 | + | 0.661579i | ||||
\(478\) | 9.73179 | − | 26.7429i | 0.445122 | − | 1.22319i | ||||
\(479\) | 0.389918 | + | 0.675358i | 0.0178158 | + | 0.0308579i | 0.874796 | − | 0.484492i | \(-0.160995\pi\) |
−0.856980 | + | 0.515350i | \(0.827662\pi\) | |||||||
\(480\) | 36.6618 | − | 17.9720i | 1.67337 | − | 0.820305i | ||||
\(481\) | 2.39995 | − | 4.15683i | 0.109428 | − | 0.189535i | ||||
\(482\) | −36.2780 | + | 6.39905i | −1.65242 | + | 0.291469i | ||||
\(483\) | 0.405977 | − | 22.1249i | 0.0184726 | − | 1.00672i | ||||
\(484\) | −9.13579 | + | 3.32641i | −0.415263 | + | 0.151200i | ||||
\(485\) | 4.21164 | − | 0.449888i | 0.191241 | − | 0.0204284i | ||||
\(486\) | −47.8839 | − | 4.18637i | −2.17206 | − | 0.189898i | ||||
\(487\) | 35.4937 | + | 9.51051i | 1.60837 | + | 0.430962i | 0.947557 | − | 0.319586i | \(-0.103544\pi\) |
0.660816 | + | 0.750548i | \(0.270210\pi\) | |||||||
\(488\) | −3.61569 | 0.000657099i | −0.163675 | 2.97455e-5i | ||||||
\(489\) | − | 40.6914i | − | 1.84013i | ||||||
\(490\) | −10.7311 | − | 19.3609i | −0.484783 | − | 0.874634i | ||||
\(491\) | 16.9396 | 0.764474 | 0.382237 | − | 0.924064i | \(-0.375154\pi\) | ||||
0.382237 | + | 0.924064i | \(0.375154\pi\) | |||||||
\(492\) | 3.54679 | + | 5.06404i | 0.159902 | + | 0.228305i | ||||
\(493\) | 6.26472 | − | 23.3803i | 0.282149 | − | 1.05299i | ||||
\(494\) | −1.13427 | − | 0.0991664i | −0.0510331 | − | 0.00446171i | ||||
\(495\) | −31.9876 | − | 25.8133i | −1.43773 | − | 1.16022i | ||||
\(496\) | −14.5859 | − | 17.3742i | −0.654925 | − | 0.780125i | ||||
\(497\) | −2.57640 | − | 0.0472752i | −0.115568 | − | 0.00212058i | ||||
\(498\) | 11.4826 | + | 65.0979i | 0.514547 | + | 2.91710i | ||||
\(499\) | 12.7875 | + | 7.38287i | 0.572448 | + | 0.330503i | 0.758126 | − | 0.652108i | \(-0.226115\pi\) |
−0.185679 | + | 0.982611i | \(0.559448\pi\) | |||||||
\(500\) | −8.84417 | − | 20.5373i | −0.395523 | − | 0.918456i | ||||
\(501\) | 19.8837 | − | 11.4799i | 0.888338 | − | 0.512882i | ||||
\(502\) | 3.06001 | − | 8.40889i | 0.136575 | − | 0.375307i | ||||
\(503\) | 20.5187 | + | 20.5187i | 0.914884 | + | 0.914884i | 0.996651 | − | 0.0817674i | \(-0.0260565\pi\) |
−0.0817674 | + | 0.996651i | \(0.526056\pi\) | |||||||
\(504\) | −1.00850 | + | 55.5112i | −0.0449222 | + | 2.47267i | ||||
\(505\) | −5.44337 | + | 34.7496i | −0.242227 | + | 1.54634i | ||||
\(506\) | −8.22823 | + | 3.83749i | −0.365789 | + | 0.170597i | ||||
\(507\) | −9.68830 | + | 36.1572i | −0.430273 | + | 1.60580i | ||||
\(508\) | 15.9894 | − | 1.40084i | 0.709415 | − | 0.0621524i | ||||
\(509\) | −12.8957 | + | 22.3361i | −0.571593 | + | 0.990029i | 0.424809 | + | 0.905283i | \(0.360341\pi\) |
−0.996403 | + | 0.0847457i | \(0.972992\pi\) | |||||||
\(510\) | 64.9461 | − | 1.24782i | 2.87586 | − | 0.0552544i | ||||
\(511\) | 1.24309 | − | 4.32060i | 0.0549912 | − | 0.191132i | ||||
\(512\) | 0.0123366 | + | 22.6274i | 0.000545206 | + | 1.00000i | ||||
\(513\) | −2.50921 | − | 9.36449i | −0.110784 | − | 0.413452i | ||||
\(514\) | 0.625144 | − | 7.15041i | 0.0275739 | − | 0.315391i | ||||
\(515\) | 10.9794 | − | 24.7732i | 0.483811 | − | 1.09164i | ||||
\(516\) | −37.7238 | − | 6.64701i | −1.66070 | − | 0.292618i | ||||
\(517\) | −1.57574 | + | 1.57574i | −0.0693011 | + | 0.0693011i | ||||
\(518\) | 1.59728 | − | 15.0763i | 0.0701806 | − | 0.662413i | ||||
\(519\) | 41.3948 | 1.81703 | ||||||||
\(520\) | −6.05301 | + | 4.41517i | −0.265442 | + | 0.193618i | ||||
\(521\) | 12.1953 | + | 21.1229i | 0.534286 | + | 0.925410i | 0.999198 | + | 0.0400529i | \(0.0127526\pi\) |
−0.464912 | + | 0.885357i | \(0.653914\pi\) | |||||||
\(522\) | −30.5700 | + | 25.6544i | −1.33801 | + | 1.12286i | ||||
\(523\) | −2.51528 | − | 9.38717i | −0.109986 | − | 0.410472i | 0.888877 | − | 0.458145i | \(-0.151486\pi\) |
−0.998863 | + | 0.0476732i | \(0.984819\pi\) | |||||||
\(524\) | 8.88771 | − | 3.23608i | 0.388261 | − | 0.141369i | ||||
\(525\) | 42.6042 | + | 2.87217i | 1.85940 | + | 0.125352i | ||||
\(526\) | 13.9720 | + | 9.78205i | 0.609209 | + | 0.426518i | ||||
\(527\) | −9.34095 | − | 34.8609i | −0.406898 | − | 1.51857i | ||||
\(528\) | 28.9897 | − | 13.5267i | 1.26161 | − | 0.588673i | ||||
\(529\) | −14.1041 | + | 8.14303i | −0.613224 | + | 0.354045i | ||||
\(530\) | −8.36795 | + | 2.41540i | −0.363481 | + | 0.104918i | ||||
\(531\) | −69.3980 | −3.01162 | ||||||||
\(532\) | −3.40127 | + | 1.16821i | −0.147464 | + | 0.0506484i | ||||
\(533\) | −0.802203 | − | 0.802203i | −0.0347473 | − | 0.0347473i | ||||
\(534\) | −14.8503 | + | 6.92589i | −0.642634 | + | 0.299713i | ||||
\(535\) | 6.43476 | − | 14.5190i | 0.278199 | − | 0.627709i | ||||
\(536\) | 4.88180 | + | 18.2059i | 0.210862 | + | 0.786375i | ||||
\(537\) | 36.5987 | − | 9.80659i | 1.57935 | − | 0.423186i | ||||
\(538\) | −13.9818 | + | 2.46624i | −0.602799 | + | 0.106327i | ||||
\(539\) | −8.11490 | − | 15.3280i | −0.349533 | − | 0.660222i | ||||
\(540\) | −52.9523 | − | 35.5769i | −2.27870 | − | 1.53098i | ||||
\(541\) | −16.3797 | − | 9.45685i | −0.704220 | − | 0.406582i | 0.104697 | − | 0.994504i | \(-0.466613\pi\) |
−0.808917 | + | 0.587922i | \(0.799946\pi\) | |||||||
\(542\) | 15.8635 | − | 13.3127i | 0.681398 | − | 0.571831i | ||||
\(543\) | 19.6778 | − | 73.4385i | 0.844454 | − | 3.15155i | ||||
\(544\) | −15.2040 | + | 32.6308i | −0.651864 | + | 1.39903i | ||||
\(545\) | 40.6410 | + | 6.36623i | 1.74087 | + | 0.272699i | ||||
\(546\) | −2.22639 | − | 14.1331i | −0.0952805 | − | 0.604840i | ||||
\(547\) | 5.07311 | + | 5.07311i | 0.216910 | + | 0.216910i | 0.807195 | − | 0.590285i | \(-0.200985\pi\) |
−0.590285 | + | 0.807195i | \(0.700985\pi\) | |||||||
\(548\) | −0.858834 | + | 0.601517i | −0.0366876 | + | 0.0256955i | ||||
\(549\) | 4.74215 | + | 8.21364i | 0.202390 | + | 0.350549i | ||||
\(550\) | −6.61903 | − | 16.2211i | −0.282237 | − | 0.691671i | ||||
\(551\) | −2.23871 | − | 1.29252i | −0.0953721 | − | 0.0550631i | ||||
\(552\) | −20.4850 | + | 11.8320i | −0.871900 | + | 0.503603i | ||||
\(553\) | 31.7965 | + | 19.1440i | 1.35213 | + | 0.814086i | ||||
\(554\) | 8.17876 | − | 11.6820i | 0.347482 | − | 0.496320i | ||||
\(555\) | 22.7591 | + | 18.3661i | 0.966069 | + | 0.779597i | ||||
\(556\) | −15.1355 | + | 18.0422i | −0.641888 | + | 0.765160i | ||||
\(557\) | −9.77177 | − | 2.61834i | −0.414043 | − | 0.110943i | 0.0457831 | − | 0.998951i | \(-0.485422\pi\) |
−0.459826 | + | 0.888009i | \(0.652088\pi\) | |||||||
\(558\) | −20.3485 | + | 55.9176i | −0.861420 | + | 2.36718i | ||||
\(559\) | 7.02886 | 0.297289 | ||||||||
\(560\) | −11.8107 | + | 20.5063i | −0.499094 | + | 0.866548i | ||||
\(561\) | 50.8947 | 2.14878 | ||||||||
\(562\) | −12.9614 | + | 35.6179i | −0.546745 | + | 1.50245i | ||||
\(563\) | 9.35456 | + | 2.50655i | 0.394248 | + | 0.105638i | 0.450496 | − | 0.892778i | \(-0.351247\pi\) |
−0.0562482 | + | 0.998417i | \(0.517914\pi\) | |||||||
\(564\) | −3.73176 | + | 4.44843i | −0.157135 | + | 0.187313i | ||||
\(565\) | −2.25654 | − | 21.1247i | −0.0949335 | − | 0.888722i | ||||
\(566\) | −0.338492 | + | 0.483480i | −0.0142279 | + | 0.0203222i | ||||
\(567\) | 55.0715 | − | 30.4623i | 2.31279 | − | 1.27930i | ||||
\(568\) | 1.37781 | + | 2.38544i | 0.0578117 | + | 0.100091i | ||||
\(569\) | 31.5070 | + | 18.1906i | 1.32084 | + | 0.762588i | 0.983863 | − | 0.178924i | \(-0.0572615\pi\) |
0.336979 | + | 0.941512i | \(0.390595\pi\) | |||||||
\(570\) | 1.66647 | − | 6.73423i | 0.0698006 | − | 0.282066i | ||||
\(571\) | 3.18300 | + | 5.51312i | 0.133204 | + | 0.230717i | 0.924910 | − | 0.380186i | \(-0.124140\pi\) |
−0.791706 | + | 0.610903i | \(0.790807\pi\) | |||||||
\(572\) | −4.80811 | + | 3.36755i | −0.201037 | + | 0.140804i | ||||
\(573\) | −2.11590 | − | 2.11590i | −0.0883929 | − | 0.0883929i | ||||
\(574\) | −3.34425 | − | 1.28694i | −0.139586 | − | 0.0537156i | ||||
\(575\) | 5.92088 | + | 11.5235i | 0.246918 | + | 0.480564i | ||||
\(576\) | 51.3911 | − | 29.6956i | 2.14130 | − | 1.23732i | ||||
\(577\) | −1.35525 | + | 5.05788i | −0.0564200 | + | 0.210562i | −0.988381 | − | 0.151996i | \(-0.951430\pi\) |
0.931961 | + | 0.362558i | \(0.118097\pi\) | |||||||
\(578\) | −25.4550 | + | 21.3619i | −1.05879 | + | 0.888540i | ||||
\(579\) | −49.2701 | − | 28.4461i | −2.04760 | − | 1.18218i | ||||
\(580\) | −16.6916 | + | 3.27602i | −0.693080 | + | 0.136029i | ||||
\(581\) | −26.5892 | − | 27.5832i | −1.10311 | − | 1.14434i | ||||
\(582\) | 8.51548 | − | 1.50204i | 0.352978 | − | 0.0622616i | ||||
\(583\) | −6.59144 | + | 1.76617i | −0.272990 | + | 0.0731473i | ||||
\(584\) | −4.64229 | + | 1.24480i | −0.192099 | + | 0.0515103i | ||||
\(585\) | 17.9671 | + | 7.96298i | 0.742850 | + | 0.329229i | ||||
\(586\) | −34.7925 | + | 16.2266i | −1.43726 | + | 0.670314i | ||||
\(587\) | 1.28429 | + | 1.28429i | 0.0530084 | + | 0.0530084i | 0.733114 | − | 0.680106i | \(-0.238066\pi\) |
−0.680106 | + | 0.733114i | \(0.738066\pi\) | |||||||
\(588\) | −24.5492 | − | 37.9408i | −1.01239 | − | 1.56465i | ||||
\(589\) | −3.85439 | −0.158817 | ||||||||
\(590\) | −25.8958 | − | 14.2949i | −1.06611 | − | 0.588510i | ||||
\(591\) | 55.1106 | − | 31.8181i | 2.26695 | − | 1.30882i | ||||
\(592\) | −14.6872 | + | 6.85311i | −0.603642 | + | 0.281661i | ||||
\(593\) | 5.78316 | + | 21.5831i | 0.237486 | + | 0.886310i | 0.977012 | + | 0.213182i | \(0.0683829\pi\) |
−0.739526 | + | 0.673128i | \(0.764950\pi\) | |||||||
\(594\) | −40.9450 | − | 28.6663i | −1.67999 | − | 1.17619i | ||||
\(595\) | −30.8226 | + | 21.6191i | −1.26361 | + | 0.886299i | ||||
\(596\) | 11.2071 | − | 4.08058i | 0.459059 | − | 0.167147i | ||||
\(597\) | 19.6861 | + | 73.4694i | 0.805698 | + | 3.00690i | ||||
\(598\) | 3.32516 | − | 2.79049i | 0.135976 | − | 0.114112i | ||||
\(599\) | −3.39981 | − | 5.88865i | −0.138913 | − | 0.240604i | 0.788173 | − | 0.615454i | \(-0.211027\pi\) |
−0.927085 | + | 0.374851i | \(0.877694\pi\) | |||||||
\(600\) | −20.8696 | − | 40.5993i | −0.851997 | − | 1.65746i | ||||
\(601\) | 7.47373 | 0.304860 | 0.152430 | − | 0.988314i | \(-0.451290\pi\) | ||||
0.152430 | + | 0.988314i | \(0.451290\pi\) | |||||||
\(602\) | 20.2891 | − | 9.01302i | 0.826921 | − | 0.367343i | ||||
\(603\) | 34.9613 | − | 34.9613i | 1.42374 | − | 1.42374i | ||||
\(604\) | 21.9471 | + | 3.86712i | 0.893013 | + | 0.157351i | ||||
\(605\) | 3.91272 | + | 10.1415i | 0.159075 | + | 0.412311i | ||||
\(606\) | −6.25399 | + | 71.5334i | −0.254051 | + | 2.90584i | ||||
\(607\) | −2.28295 | − | 8.52009i | −0.0926622 | − | 0.345820i | 0.903992 | − | 0.427548i | \(-0.140623\pi\) |
−0.996655 | + | 0.0817285i | \(0.973956\pi\) | |||||||
\(608\) | 2.94589 | + | 2.47037i | 0.119471 | + | 0.100187i | ||||
\(609\) | 8.98145 | − | 31.2167i | 0.363947 | − | 1.26496i | ||||
\(610\) | 0.0776542 | + | 4.04172i | 0.00314412 | + | 0.163644i | ||||
\(611\) | 0.532732 | − | 0.922719i | 0.0215520 | − | 0.0373292i | ||||
\(612\) | 94.0684 | − | 8.24140i | 3.80249 | − | 0.333139i | ||||
\(613\) | −8.67598 | + | 32.3792i | −0.350420 | + | 1.30778i | 0.535732 | + | 0.844388i | \(0.320036\pi\) |
−0.886151 | + | 0.463396i | \(0.846631\pi\) | |||||||
\(614\) | 1.53204 | − | 0.714516i | 0.0618282 | − | 0.0288355i | ||||
\(615\) | 5.58529 | − | 4.07245i | 0.225221 | − | 0.164217i | ||||
\(616\) | −9.56064 | + | 15.8859i | −0.385209 | + | 0.640063i | ||||
\(617\) | −21.5127 | − | 21.5127i | −0.866069 | − | 0.866069i | 0.125966 | − | 0.992035i | \(-0.459797\pi\) |
−0.992035 | + | 0.125966i | \(0.959797\pi\) | |||||||
\(618\) | 18.9170 | − | 51.9839i | 0.760954 | − | 2.09110i | ||||
\(619\) | −36.6246 | + | 21.1452i | −1.47207 | + | 0.849898i | −0.999507 | − | 0.0314006i | \(-0.990003\pi\) |
−0.472560 | + | 0.881299i | \(0.656670\pi\) | |||||||
\(620\) | −19.1111 | + | 16.6742i | −0.767522 | + | 0.669650i | ||||
\(621\) | 32.0098 | + | 18.4809i | 1.28451 | + | 0.741612i | ||||
\(622\) | −2.65889 | − | 15.0740i | −0.106612 | − | 0.604411i | ||||
\(623\) | 4.89860 | − | 8.13616i | 0.196258 | − | 0.325968i | ||||
\(624\) | −11.7144 | + | 9.83441i | −0.468952 | + | 0.393691i | ||||
\(625\) | −22.7691 | + | 10.3232i | −0.910764 | + | 0.412928i | ||||
\(626\) | 11.6540 | + | 1.01889i | 0.465789 | + | 0.0407229i | ||||
\(627\) | 1.40679 | − | 5.25022i | 0.0561818 | − | 0.209674i | ||||
\(628\) | −3.38303 | − | 4.83023i | −0.134998 | − | 0.192747i | ||||
\(629\) | −25.7851 | −1.02812 | ||||||||
\(630\) | 62.0737 | − | 0.0536031i | 2.47307 | − | 0.00213560i | ||||
\(631\) | − | 21.0485i | − | 0.837927i | −0.908003 | − | 0.418964i | \(-0.862393\pi\) | ||
0.908003 | − | 0.418964i | \(-0.137607\pi\) | |||||||
\(632\) | −0.00721080 | − | 39.6775i | −0.000286830 | − | 1.57828i | ||||
\(633\) | −49.5272 | − | 13.2708i | −1.96853 | − | 0.527466i | ||||
\(634\) | −8.96665 | − | 0.783933i | −0.356111 | − | 0.0311340i | ||||
\(635\) | −1.90606 | − | 17.8437i | −0.0756398 | − | 0.708104i | ||||
\(636\) | −16.7075 | + | 6.08333i | −0.662496 | + | 0.241220i | ||||
\(637\) | 5.64449 | + | 6.07472i | 0.223643 | + | 0.240689i | ||||
\(638\) | −13.1248 | + | 2.31507i | −0.519614 | + | 0.0916544i | ||||
\(639\) | 3.61299 | − | 6.25788i | 0.142928 | − | 0.247558i | ||||
\(640\) | 25.2934 | − | 0.495162i | 0.999808 | − | 0.0195730i | ||||
\(641\) | −22.9707 | − | 39.7864i | −0.907287 | − | 1.57147i | −0.817817 | − | 0.575478i | \(-0.804816\pi\) |
−0.0894699 | − | 0.995990i | \(-0.528517\pi\) | |||||||
\(642\) | 11.0868 | − | 30.4664i | 0.437560 | − | 1.20241i | ||||
\(643\) | 24.1897 | − | 24.1897i | 0.953950 | − | 0.953950i | −0.0450358 | − | 0.998985i | \(-0.514340\pi\) |
0.998985 | + | 0.0450358i | \(0.0143402\pi\) | |||||||
\(644\) | 6.02001 | − | 12.3187i | 0.237221 | − | 0.485424i | ||||
\(645\) | −6.62771 | + | 42.3103i | −0.260966 | + | 1.66597i | ||||
\(646\) | 2.58531 | + | 5.54333i | 0.101717 | + | 0.218099i | ||||
\(647\) | −7.46379 | − | 1.99992i | −0.293432 | − | 0.0786248i | 0.109100 | − | 0.994031i | \(-0.465203\pi\) |
−0.402532 | + | 0.915406i | \(0.631870\pi\) | |||||||
\(648\) | −58.2727 | − | 33.6296i | −2.28917 | − | 1.32110i | ||||
\(649\) | −20.0705 | − | 11.5877i | −0.787836 | − | 0.454857i | ||||
\(650\) | 5.06418 | + | 6.67232i | 0.198634 | + | 0.261710i | ||||
\(651\) | −11.6751 | − | 47.0053i | −0.457584 | − | 1.84228i | ||||
\(652\) | 10.6525 | − | 22.8515i | 0.417183 | − | 0.894934i | ||||
\(653\) | −31.0593 | + | 8.32230i | −1.21544 | + | 0.325677i | −0.808895 | − | 0.587953i | \(-0.799934\pi\) |
−0.406547 | + | 0.913630i | \(0.633267\pi\) | |||||||
\(654\) | 83.6610 | + | 7.31428i | 3.27140 | + | 0.286011i | ||||
\(655\) | −3.80647 | − | 9.86612i | −0.148731 | − | 0.385501i | ||||
\(656\) | 0.666114 | + | 3.77237i | 0.0260074 | + | 0.147286i | ||||
\(657\) | 8.91473 | + | 8.91473i | 0.347797 | + | 0.347797i | ||||
\(658\) | 0.354560 | − | 3.34658i | 0.0138222 | − | 0.130463i | ||||
\(659\) | − | 26.5566i | − | 1.03450i | −0.855835 | − | 0.517250i | \(-0.826956\pi\) | ||
0.855835 | − | 0.517250i | \(-0.173044\pi\) | |||||||
\(660\) | −15.7373 | − | 32.1178i | −0.612572 | − | 1.25018i | ||||
\(661\) | −24.3850 | + | 14.0787i | −0.948465 | + | 0.547596i | −0.892604 | − | 0.450842i | \(-0.851124\pi\) |
−0.0558611 | + | 0.998439i | \(0.517790\pi\) | |||||||
\(662\) | −11.1241 | − | 13.2556i | −0.432352 | − | 0.515193i | ||||
\(663\) | −23.5047 | + | 6.29807i | −0.912847 | + | 0.244597i | ||||
\(664\) | −10.5934 | + | 39.5637i | −0.411102 | + | 1.53537i | ||||
\(665\) | 1.37822 | + | 3.77719i | 0.0534452 | + | 0.146473i | ||||
\(666\) | 34.8265 | + | 24.3827i | 1.34950 | + | 0.944809i | ||||
\(667\) | 9.51968 | − | 2.55079i | 0.368603 | − | 0.0987670i | ||||
\(668\) | 14.1716 | − | 1.24158i | 0.548315 | − | 0.0480383i | ||||
\(669\) | −24.0211 | − | 41.6057i | −0.928709 | − | 1.60857i | ||||
\(670\) | 20.2473 | − | 5.84434i | 0.782220 | − | 0.225787i | ||||
\(671\) | 3.16727i | 0.122271i | ||||||||
\(672\) | −21.2036 | + | 43.4087i | −0.817947 | + | 1.67453i | ||||
\(673\) | −0.208368 | + | 0.208368i | −0.00803201 | + | 0.00803201i | −0.711111 | − | 0.703079i | \(-0.751808\pi\) |
0.703079 | + | 0.711111i | \(0.251808\pi\) | |||||||
\(674\) | −11.9477 | + | 5.57218i | −0.460208 | + | 0.214632i | ||||
\(675\) | −38.6424 | + | 59.9486i | −1.48735 | + | 2.30742i | ||||
\(676\) | −14.9063 | + | 17.7690i | −0.573318 | + | 0.683421i | ||||
\(677\) | −7.02820 | − | 26.2296i | −0.270116 | − | 1.00808i | −0.959044 | − | 0.283256i | \(-0.908585\pi\) |
0.688929 | − | 0.724829i | \(-0.258081\pi\) | |||||||
\(678\) | −7.53392 | − | 42.7119i | −0.289338 | − | 1.64034i | ||||
\(679\) | −3.60817 | + | 3.47815i | −0.138469 | + | 0.133479i | ||||
\(680\) | 36.7992 | + | 16.3013i | 1.41118 | + | 0.625126i | ||||
\(681\) | 6.58586 | − | 11.4070i | 0.252371 | − | 0.437119i | ||||
\(682\) | −15.2218 | + | 12.7742i | −0.582872 | + | 0.489148i | ||||
\(683\) | −26.1414 | − | 7.00457i | −1.00027 | − | 0.268022i | −0.278713 | − | 0.960374i | \(-0.589908\pi\) |
−0.721560 | + | 0.692352i | \(0.756575\pi\) | |||||||
\(684\) | 1.74999 | − | 9.93175i | 0.0669127 | − | 0.379750i | ||||
\(685\) | 0.690665 | + | 0.947235i | 0.0263890 | + | 0.0361920i | ||||
\(686\) | 24.0826 | + | 10.2970i | 0.919477 | + | 0.393143i | ||||
\(687\) | −35.5846 | + | 35.5846i | −1.35764 | + | 1.35764i | ||||
\(688\) | −19.4449 | − | 13.6084i | −0.741329 | − | 0.518817i | ||||
\(689\) | 2.82557 | − | 1.63134i | 0.107646 | − | 0.0621492i | ||||
\(690\) | 13.6620 | + | 22.6471i | 0.520102 | + | 0.862160i | ||||
\(691\) | −18.4600 | + | 31.9737i | −0.702252 | + | 1.21634i | 0.265422 | + | 0.964132i | \(0.414489\pi\) |
−0.967674 | + | 0.252204i | \(0.918845\pi\) | |||||||
\(692\) | 23.2466 | + | 10.8366i | 0.883702 | + | 0.411947i | ||||
\(693\) | 48.6266 | + | 0.892264i | 1.84717 | + | 0.0338943i | ||||
\(694\) | −0.679558 | − | 0.475770i | −0.0257957 | − | 0.0180600i | ||||
\(695\) | 20.4901 | + | 16.5351i | 0.777235 | + | 0.627212i | ||||
\(696\) | −33.5410 | + | 8.99380i | −1.27137 | + | 0.340909i | ||||
\(697\) | −1.57737 | + | 5.88683i | −0.0597472 | + | 0.222979i | ||||
\(698\) | 5.88415 | − | 16.1696i | 0.222718 | − | 0.612029i | ||||
\(699\) | 25.8527i | 0.977840i | ||||||||
\(700\) | 23.1738 | + | 12.7662i | 0.875887 | + | 0.482516i | ||||
\(701\) | 32.7053i | 1.23526i | 0.786468 | + | 0.617631i | \(0.211907\pi\) | ||||
−0.786468 | + | 0.617631i | \(0.788093\pi\) | |||||||
\(702\) | 22.4570 | + | 8.17214i | 0.847585 | + | 0.308438i | ||||
\(703\) | −0.712732 | + | 2.65995i | −0.0268812 | + | 0.100322i | ||||
\(704\) | 19.8212 | − | 0.00720442i | 0.747038 | − | 0.000271527i | ||||
\(705\) | 5.05199 | + | 4.07684i | 0.190269 | + | 0.153543i | ||||
\(706\) | 21.1054 | − | 30.1456i | 0.794314 | − | 1.13454i | ||||
\(707\) | −20.1441 | − | 36.4177i | −0.757598 | − | 1.36963i | ||||
\(708\) | −54.7314 | − | 25.5136i | −2.05693 | − | 0.958859i | ||||
\(709\) | −5.19917 | + | 9.00523i | −0.195259 | + | 0.338199i | −0.946985 | − | 0.321277i | \(-0.895888\pi\) |
0.751726 | + | 0.659475i | \(0.229221\pi\) | |||||||
\(710\) | 2.63721 | − | 1.59091i | 0.0989726 | − | 0.0597057i | ||||
\(711\) | −90.1339 | + | 52.0388i | −3.38028 | + | 1.95161i | ||||
\(712\) | −10.1527 | + | 0.00184511i | −0.380490 | + | 6.91485e-5i | ||||
\(713\) | 10.3909 | − | 10.3909i | 0.389142 | − | 0.389142i | ||||
\(714\) | −59.7713 | + | 48.3194i | −2.23689 | + | 1.80831i | ||||
\(715\) | 3.86664 | + | 5.30302i | 0.144604 | + | 0.198322i | ||||
\(716\) | 23.1204 | + | 4.07386i | 0.864049 | + | 0.152247i | ||||
\(717\) | −62.7422 | − | 16.8117i | −2.34315 | − | 0.627845i | ||||
\(718\) | −29.9493 | − | 35.6878i | −1.11770 | − | 1.33186i | ||||
\(719\) | −23.3347 | + | 40.4169i | −0.870239 | + | 1.50730i | −0.00848907 | + | 0.999964i | \(0.502702\pi\) |
−0.861750 | + | 0.507334i | \(0.830631\pi\) | |||||||
\(720\) | −34.2879 | − | 56.8149i | −1.27784 | − | 2.11737i | ||||
\(721\) | 7.72867 | + | 31.1165i | 0.287831 | + | 1.15884i | ||||
\(722\) | −25.8183 | + | 4.55407i | −0.960856 | + | 0.169485i | ||||
\(723\) | 21.7618 | + | 81.2162i | 0.809330 | + | 3.02046i | ||||
\(724\) | 30.2759 | − | 36.0903i | 1.12519 | − | 1.34128i | ||||
\(725\) | 4.01713 | + | 18.5887i | 0.149192 | + | 0.690366i | ||||
\(726\) | 9.37966 | + | 20.1116i | 0.348112 | + | 0.746410i | ||||
\(727\) | 10.4956 | − | 10.4956i | 0.389261 | − | 0.389261i | −0.485163 | − | 0.874424i | \(-0.661240\pi\) |
0.874424 | + | 0.485163i | \(0.161240\pi\) | |||||||
\(728\) | 2.44955 | − | 8.51970i | 0.0907865 | − | 0.315761i | ||||
\(729\) | 38.3481i | 1.42030i | ||||||||
\(730\) | 1.49024 | + | 5.16282i | 0.0551562 | + | 0.191084i | ||||
\(731\) | −18.8796 | − | 32.7004i | −0.698287 | − | 1.20947i | ||||
\(732\) | 0.720263 | + | 8.22117i | 0.0266217 | + | 0.303863i | ||||
\(733\) | −15.8289 | + | 4.24134i | −0.584654 | + | 0.156658i | −0.539009 | − | 0.842300i | \(-0.681201\pi\) |
−0.0456452 | + | 0.998958i | \(0.514534\pi\) | |||||||
\(734\) | −19.8664 | + | 28.3758i | −0.733282 | + | 1.04737i | ||||
\(735\) | −41.8892 | + | 28.2490i | −1.54510 | + | 1.04198i | ||||
\(736\) | −14.6015 | + | 1.28192i | −0.538217 | + | 0.0472521i | ||||
\(737\) | 15.9488 | − | 4.27346i | 0.587481 | − | 0.157415i | ||||
\(738\) | 7.69710 | − | 6.45943i | 0.283334 | − | 0.237775i | ||||
\(739\) | 17.4130 | − | 10.0534i | 0.640548 | − | 0.369820i | −0.144278 | − | 0.989537i | \(-0.546086\pi\) |
0.784825 | + | 0.619717i | \(0.212753\pi\) | |||||||
\(740\) | 7.97308 | + | 16.2721i | 0.293096 | + | 0.598173i | ||||
\(741\) | 2.59879i | 0.0954691i | ||||||||
\(742\) | 6.06426 | − | 8.33212i | 0.222626 | − | 0.305882i | ||||
\(743\) | −13.0655 | − | 13.0655i | −0.479326 | − | 0.479326i | 0.425590 | − | 0.904916i | \(-0.360066\pi\) |
−0.904916 | + | 0.425590i | \(0.860066\pi\) | |||||||
\(744\) | −36.6056 | + | 36.6190i | −1.34203 | + | 1.34252i | ||||
\(745\) | −4.79981 | − | 12.4408i | −0.175852 | − | 0.455796i | ||||
\(746\) | 3.27333 | − | 37.4405i | 0.119845 | − | 1.37079i | ||||
\(747\) | 103.774 | − | 27.8062i | 3.79690 | − | 1.01738i | ||||
\(748\) | 28.5815 | + | 13.3236i | 1.04504 | + | 0.487158i | ||||
\(749\) | 4.52957 | + | 18.2366i | 0.165507 | + | 0.666349i | ||||
\(750\) | −44.9392 | + | 24.1924i | −1.64095 | + | 0.883381i | ||||
\(751\) | 2.69156 | + | 1.55397i | 0.0982165 | + | 0.0567053i | 0.548304 | − | 0.836279i | \(-0.315274\pi\) |
−0.450087 | + | 0.892985i | \(0.648607\pi\) | |||||||
\(752\) | −3.26023 | + | 1.52123i | −0.118888 | + | 0.0554736i | ||||
\(753\) | −19.7283 | − | 5.28618i | −0.718939 | − | 0.192639i | ||||
\(754\) | 5.77492 | − | 2.69332i | 0.210310 | − | 0.0980848i | ||||
\(755\) | 3.85589 | − | 24.6154i | 0.140330 | − | 0.895846i | ||||
\(756\) | 75.3021 | − | 5.20716i | 2.73871 | − | 0.189383i | ||||
\(757\) | 33.5021 | − | 33.5021i | 1.21766 | − | 1.21766i | 0.249204 | − | 0.968451i | \(-0.419831\pi\) |
0.968451 | − | 0.249204i | \(-0.0801691\pi\) | |||||||
\(758\) | 36.9725 | + | 13.4543i | 1.34290 | + | 0.488684i | ||||
\(759\) | 10.3613 | + | 17.9464i | 0.376092 | + | 0.651411i | ||||
\(760\) | 2.69879 | − | 3.34556i | 0.0978953 | − | 0.121356i | ||||
\(761\) | −8.47733 | + | 14.6832i | −0.307303 | + | 0.532264i | −0.977771 | − | 0.209674i | \(-0.932760\pi\) |
0.670469 | + | 0.741938i | \(0.266093\pi\) | |||||||
\(762\) | −6.36378 | − | 36.0780i | −0.230535 | − | 1.30697i | ||||
\(763\) | −42.5919 | + | 23.5593i | −1.54193 | + | 0.852905i | ||||
\(764\) | −0.634335 | − | 1.74216i | −0.0229494 | − | 0.0630292i | ||||
\(765\) | −11.2137 | − | 104.977i | −0.405432 | − | 3.79546i | ||||
\(766\) | 2.14009 | − | 24.4784i | 0.0773246 | − | 0.884442i | ||||
\(767\) | 10.7031 | + | 2.86789i | 0.386467 | + | 0.103553i | ||||
\(768\) | 51.4474 | − | 4.52619i | 1.85645 | − | 0.163325i | ||||
\(769\) | − | 40.7180i | − | 1.46833i | −0.678972 | − | 0.734164i | \(-0.737574\pi\) | ||
0.678972 | − | 0.734164i | \(-0.262426\pi\) | |||||||
\(770\) | 17.9612 | + | 10.3492i | 0.647277 | + | 0.372960i | ||||
\(771\) | −16.3828 | −0.590011 | ||||||||
\(772\) | −20.2223 | − | 28.8731i | −0.727818 | − | 1.03916i | ||||
\(773\) | 8.77656 | − | 32.7546i | 0.315671 | − | 1.17810i | −0.607692 | − | 0.794172i | \(-0.707905\pi\) |
0.923363 | − | 0.383927i | \(-0.125429\pi\) | |||||||
\(774\) | −5.42220 | + | 62.0193i | −0.194897 | + | 2.22924i | ||||
\(775\) | 19.0455 | + | 21.0083i | 0.684133 | + | 0.754641i | ||||
\(776\) | 5.17535 | + | 1.38572i | 0.185784 | + | 0.0497446i | ||||
\(777\) | −34.5977 | − | 0.634844i | −1.24119 | − | 0.0227749i | ||||
\(778\) | 33.1495 | − | 5.84723i | 1.18847 | − | 0.209633i | ||||
\(779\) | 0.563675 | + | 0.325438i | 0.0201958 | + | 0.0116600i | ||||
\(780\) | 11.2424 | + | 12.8855i | 0.402543 | + | 0.461376i | ||||
\(781\) | 2.08982 | − | 1.20656i | 0.0747795 | − | 0.0431740i | ||||
\(782\) | −21.9136 | − | 7.97441i | −0.783630 | − | 0.285164i | ||||
\(783\) | 38.3653 | + | 38.3653i | 1.37106 | + | 1.37106i | ||||
\(784\) | −3.85399 | − | 27.7335i | −0.137642 | − | 0.990482i | ||||
\(785\) | −5.32741 | + | 3.88442i | −0.190143 | + | 0.138641i | ||||
\(786\) | −9.12495 | − | 19.5654i | −0.325476 | − | 0.697876i | ||||
\(787\) | 7.97322 | − | 29.7565i | 0.284215 | − | 1.06070i | −0.665196 | − | 0.746668i | \(-0.731652\pi\) |
0.949411 | − | 0.314036i | \(-0.101681\pi\) | |||||||
\(788\) | 39.2786 | − | 3.44123i | 1.39924 | − | 0.122589i | ||||
\(789\) | 19.4647 | − | 33.7139i | 0.692963 | − | 1.20025i | ||||
\(790\) | −44.3526 | + | 0.852152i | −1.57799 | + | 0.0303182i | ||||
\(791\) | 17.4456 | + | 18.0978i | 0.620295 | + | 0.643485i | ||||
\(792\) | −26.0046 | − | 45.0223i | −0.924032 | − | 1.59980i | ||||
\(793\) | −0.391941 | − | 1.46274i | −0.0139182 | − | 0.0519435i | ||||
\(794\) | −10.5171 | − | 0.919485i | −0.373238 | − | 0.0326313i | ||||
\(795\) | 7.15557 | + | 18.5468i | 0.253782 | + | 0.657786i | ||||
\(796\) | −8.17800 | + | 46.4126i | −0.289861 | + | 1.64505i | ||||
\(797\) | 5.09246 | − | 5.09246i | 0.180384 | − | 0.180384i | −0.611139 | − | 0.791523i | \(-0.709288\pi\) |
0.791523 | + | 0.611139i | \(0.209288\pi\) | |||||||
\(798\) | 3.33240 | + | 7.50152i | 0.117966 | + | 0.265551i | ||||
\(799\) | −5.72370 | −0.202490 | ||||||||
\(800\) | −1.09160 | − | 28.2632i | −0.0385937 | − | 0.999255i | ||||
\(801\) | 13.3158 | + | 23.0636i | 0.470490 | + | 0.814913i | ||||
\(802\) | 11.0111 | + | 13.1209i | 0.388816 | + | 0.463316i | ||||
\(803\) | 1.08968 | + | 4.06675i | 0.0384541 | + | 0.143513i | ||||
\(804\) | 40.4258 | − | 14.7193i | 1.42571 | − | 0.519111i | ||||
\(805\) | −13.8983 | − | 6.46729i | −0.489850 | − | 0.227942i | ||||
\(806\) | 5.44911 | − | 7.78314i | 0.191937 | − | 0.274149i | ||||
\(807\) | 8.38717 | + | 31.3013i | 0.295242 | + | 1.10186i | ||||
\(808\) | −22.2386 | + | 38.5346i | −0.782352 | + | 1.35564i | ||||
\(809\) | 6.85811 | − | 3.95953i | 0.241118 | − | 0.139210i | −0.374572 | − | 0.927198i | \(-0.622210\pi\) |
0.615691 | + | 0.787988i | \(0.288877\pi\) | |||||||
\(810\) | −36.3526 | + | 65.8545i | −1.27730 | + | 2.31389i | ||||
\(811\) | 40.2831 | 1.41453 | 0.707266 | − | 0.706948i | \(-0.249928\pi\) | ||||
0.707266 | + | 0.706948i | \(0.249928\pi\) | |||||||
\(812\) | 13.2159 | − | 15.1795i | 0.463788 | − | 0.532695i | ||||
\(813\) | −33.4238 | − | 33.4238i | −1.17222 | − | 1.17222i | ||||
\(814\) | 6.00085 | + | 12.8668i | 0.210330 | + | 0.450982i | ||||
\(815\) | −25.7708 | − | 11.4215i | −0.902711 | − | 0.400079i | ||||
\(816\) | 77.2178 | + | 28.0838i | 2.70316 | + | 0.983130i | ||||
\(817\) | −3.89518 | + | 1.04371i | −0.136275 | + | 0.0365148i | ||||
\(818\) | 1.14374 | + | 6.48415i | 0.0399898 | + | 0.226713i | ||||
\(819\) | −22.5676 | + | 5.60532i | −0.788577 | + | 0.195866i | ||||
\(820\) | 4.20271 | − | 0.824856i | 0.146765 | − | 0.0288052i | ||||
\(821\) | −13.6970 | − | 7.90794i | −0.478027 | − | 0.275989i | 0.241567 | − | 0.970384i | \(-0.422339\pi\) |
−0.719594 | + | 0.694395i | \(0.755672\pi\) | |||||||
\(822\) | 1.53845 | + | 1.83323i | 0.0536595 | + | 0.0639411i | ||||
\(823\) | −2.65275 | + | 9.90021i | −0.0924691 | + | 0.345099i | −0.996624 | − | 0.0821062i | \(-0.973835\pi\) |
0.904154 | + | 0.427206i | \(0.140502\pi\) | |||||||
\(824\) | 24.2321 | − | 24.2409i | 0.844166 | − | 0.844473i | ||||
\(825\) | −35.5675 | + | 18.2749i | −1.23830 | + | 0.636250i | ||||
\(826\) | 34.5724 | − | 5.44620i | 1.20293 | − | 0.189497i | ||||
\(827\) | 18.6181 | + | 18.6181i | 0.647416 | + | 0.647416i | 0.952368 | − | 0.304952i | \(-0.0986403\pi\) |
−0.304952 | + | 0.952368i | \(0.598640\pi\) | |||||||
\(828\) | 22.0569 | + | 31.4923i | 0.766529 | + | 1.09443i | ||||
\(829\) | 16.4972 | + | 28.5740i | 0.572972 | + | 0.992416i | 0.996259 | + | 0.0864204i | \(0.0275428\pi\) |
−0.423287 | + | 0.905996i | \(0.639124\pi\) | |||||||
\(830\) | 44.4509 | + | 10.9999i | 1.54291 | + | 0.381813i | ||||
\(831\) | −28.1882 | − | 16.2745i | −0.977837 | − | 0.564555i | ||||
\(832\) | −9.15312 | + | 2.45614i | −0.317327 | + | 0.0851512i | ||||
\(833\) | 13.1003 | − | 42.5767i | 0.453898 | − | 1.47519i | ||||
\(834\) | 44.0329 | + | 30.8282i | 1.52473 | + | 1.06749i | ||||
\(835\) | −1.68937 | − | 15.8150i | −0.0584629 | − | 0.547302i | ||||
\(836\) | 2.16447 | − | 2.58014i | 0.0748596 | − | 0.0892361i | ||||
\(837\) | 78.1424 | + | 20.9382i | 2.70100 | + | 0.723730i | ||||
\(838\) | 39.2965 | + | 14.3001i | 1.35748 | + | 0.493988i | ||||
\(839\) | −46.3593 | −1.60050 | −0.800251 | − | 0.599666i | \(-0.795300\pi\) | ||||
−0.800251 | + | 0.599666i | \(0.795300\pi\) | |||||||
\(840\) | 48.9747 | + | 22.7786i | 1.68979 | + | 0.785936i | ||||
\(841\) | −14.5329 | −0.501136 | ||||||||
\(842\) | 25.9294 | + | 9.43576i | 0.893587 | + | 0.325178i | ||||
\(843\) | 83.5641 | + | 22.3909i | 2.87810 | + | 0.771185i | ||||
\(844\) | −24.3394 | − | 20.4182i | −0.837798 | − | 0.702823i | ||||
\(845\) | 20.1798 | + | 16.2847i | 0.694207 | + | 0.560210i | ||||
\(846\) | 7.73068 | + | 5.41238i | 0.265786 | + | 0.186082i | ||||
\(847\) | −11.0187 | − | 6.63412i | −0.378607 | − | 0.227951i | ||||
\(848\) | −10.9752 | − | 0.957522i | −0.376888 | − | 0.0328814i | ||||
\(849\) | 1.16662 | + | 0.673547i | 0.0400382 | + | 0.0231161i | ||||
\(850\) | 17.4392 | − | 41.4821i | 0.598161 | − | 1.42282i | ||||
\(851\) | −5.24943 | − | 9.09228i | −0.179948 | − | 0.311679i | ||||
\(852\) | 5.15008 | − | 3.60705i | 0.176439 | − | 0.123576i | ||||
\(853\) | 12.1510 | + | 12.1510i | 0.416041 | + | 0.416041i | 0.883837 | − | 0.467795i | \(-0.154952\pi\) |
−0.467795 | + | 0.883837i | \(0.654952\pi\) | |||||||
\(854\) | −3.00701 | − | 3.71968i | −0.102898 | − | 0.127285i | ||||
\(855\) | −11.1393 | − | 1.74491i | −0.380954 | − | 0.0596748i | ||||
\(856\) | 14.2018 | − | 14.2070i | 0.485408 | − | 0.485585i | ||||
\(857\) | −11.8235 | + | 44.1259i | −0.403883 | + | 1.50731i | 0.402225 | + | 0.915541i | \(0.368237\pi\) |
−0.806107 | + | 0.591769i | \(0.798430\pi\) | |||||||
\(858\) | 8.61288 | + | 10.2632i | 0.294039 | + | 0.350379i | ||||
\(859\) | −16.6199 | − | 9.59551i | −0.567064 | − | 0.327395i | 0.188912 | − | 0.981994i | \(-0.439504\pi\) |
−0.755976 | + | 0.654599i | \(0.772837\pi\) | |||||||
\(860\) | −14.7983 | + | 22.0256i | −0.504617 | + | 0.751067i | ||||
\(861\) | −2.26140 | + | 7.85993i | −0.0770685 | + | 0.267866i | ||||
\(862\) | −7.20528 | − | 40.8487i | −0.245413 | − | 1.39131i | ||||
\(863\) | 50.5786 | − | 13.5525i | 1.72171 | − | 0.461332i | 0.743466 | − | 0.668773i | \(-0.233180\pi\) |
0.978247 | + | 0.207441i | \(0.0665136\pi\) | |||||||
\(864\) | −46.3039 | − | 66.0863i | −1.57529 | − | 2.24830i | ||||
\(865\) | 11.6190 | − | 26.2163i | 0.395057 | − | 0.891380i | ||||
\(866\) | −11.5289 | − | 24.7198i | −0.391767 | − | 0.840013i | ||||
\(867\) | 53.6327 | + | 53.6327i | 1.82146 | + | 1.82146i | ||||
\(868\) | 5.74884 | − | 29.4537i | 0.195128 | − | 0.999723i | ||||
\(869\) | −34.7567 | −1.17904 | ||||||||
\(870\) | 10.7671 | + | 37.3018i | 0.365039 | + | 1.26465i | ||||
\(871\) | −6.83680 | + | 3.94723i | −0.231656 | + | 0.133747i | ||||
\(872\) | 45.0677 | + | 26.0089i | 1.52618 | + | 0.880773i | ||||
\(873\) | −3.63735 | − | 13.5748i | −0.123106 | − | 0.459436i | ||||
\(874\) | −1.42835 | + | 2.04015i | −0.0483146 | + | 0.0690092i | ||||
\(875\) | 13.7774 | − | 26.1760i | 0.465762 | − | 0.884910i | ||||
\(876\) | 3.75326 | + | 10.3081i | 0.126811 | + | 0.348279i | ||||
\(877\) | 4.17969 | + | 15.5988i | 0.141138 | + | 0.526735i | 0.999897 | + | 0.0143549i | \(0.00456945\pi\) |
−0.858759 | + | 0.512380i | \(0.828764\pi\) | |||||||
\(878\) | 5.29990 | + | 6.31539i | 0.178863 | + | 0.213134i | ||||
\(879\) | 43.8122 | + | 75.8849i | 1.47775 | + | 2.55953i | ||||
\(880\) | −0.429726 | − | 22.1566i | −0.0144861 | − | 0.746898i | ||||
\(881\) | −49.7235 | −1.67523 | −0.837613 | − | 0.546264i | \(-0.816050\pi\) | ||||
−0.837613 | + | 0.546264i | \(0.816050\pi\) | |||||||
\(882\) | −57.9547 | + | 45.1182i | −1.95144 | + | 1.51921i | ||||
\(883\) | −39.0926 | + | 39.0926i | −1.31557 | + | 1.31557i | −0.398330 | + | 0.917242i | \(0.630410\pi\) |
−0.917242 | + | 0.398330i | \(0.869590\pi\) | |||||||
\(884\) | −14.8486 | − | 2.61635i | −0.499411 | − | 0.0879972i | ||||
\(885\) | −27.3555 | + | 61.7232i | −0.919546 | + | 2.07480i | ||||
\(886\) | −27.7396 | − | 2.42521i | −0.931931 | − | 0.0814765i | ||||
\(887\) | 3.33589 | + | 12.4497i | 0.112008 | + | 0.418020i | 0.999046 | − | 0.0436773i | \(-0.0139073\pi\) |
−0.887038 | + | 0.461697i | \(0.847241\pi\) | |||||||
\(888\) | 18.5022 | + | 32.0333i | 0.620893 | + | 1.07497i | ||||
\(889\) | 14.7360 | + | 15.2869i | 0.494231 | + | 0.512707i | ||||
\(890\) | 0.218050 | + | 11.3490i | 0.00730906 | + | 0.380420i | ||||
\(891\) | −29.4682 | + | 51.0404i | −0.987221 | + | 1.70992i | ||||
\(892\) | −2.59796 | − | 29.6534i | −0.0869860 | − | 0.992869i | ||||
\(893\) | −0.158210 | + | 0.590448i | −0.00529430 | + | 0.0197586i | ||||
\(894\) | −11.5062 | − | 24.6713i | −0.384825 | − | 0.825130i | ||||
\(895\) | 4.06203 | − | 25.9314i | 0.135779 | − | 0.866789i | ||||
\(896\) | −23.2714 | + | 18.8267i | −0.777442 | + | 0.628955i | ||||
\(897\) | −7.00598 | − | 7.00598i | −0.233923 | − | 0.233923i | ||||
\(898\) | 20.9218 | + | 7.61347i | 0.698169 | + | 0.254065i | ||||
\(899\) | 18.6810 | − | 10.7855i | 0.623046 | − | 0.359716i | ||||
\(900\) | −62.7800 | + | 39.5368i | −2.09267 | + | 1.31789i | ||||
\(901\) | −15.1790 | − | 8.76361i | −0.505686 | − | 0.291958i | ||||
\(902\) | 3.30463 | − | 0.582902i | 0.110032 | − | 0.0194085i | ||||
\(903\) | −24.5270 | − | 44.3413i | −0.816206 | − | 1.47558i | ||||
\(904\) | 6.95049 | − | 25.9585i | 0.231170 | − | 0.863365i | ||||
\(905\) | −40.9869 | − | 33.0756i | −1.36245 | − | 1.09947i | ||||
\(906\) | 4.43010 | − | 50.6716i | 0.147180 | − | 1.68345i | ||||
\(907\) | 6.51953 | − | 24.3312i | 0.216477 | − | 0.807905i | −0.769164 | − | 0.639052i | \(-0.779327\pi\) |
0.985641 | − | 0.168853i | \(-0.0540063\pi\) | |||||||
\(908\) | 6.68471 | − | 4.68189i | 0.221840 | − | 0.155374i | ||||
\(909\) | 116.705 | 3.87085 | ||||||||
\(910\) | −9.57571 | − | 2.55694i | −0.317432 | − | 0.0847618i | ||||
\(911\) | − | 53.5648i | − | 1.77468i | −0.461116 | − | 0.887340i | \(-0.652551\pi\) | ||
0.461116 | − | 0.887340i | \(-0.347449\pi\) | |||||||
\(912\) | 5.03147 | − | 7.18940i | 0.166609 | − | 0.238065i | ||||
\(913\) | 34.6553 | + | 9.28587i | 1.14692 | + | 0.307318i | ||||
\(914\) | −0.291206 | + | 3.33083i | −0.00963225 | + | 0.110174i | ||||
\(915\) | 9.17456 | − | 0.980028i | 0.303302 | − | 0.0323987i | ||||
\(916\) | −29.2992 | + | 10.6681i | −0.968074 | + | 0.352483i | ||||
\(917\) | 10.7195 | + | 6.45397i | 0.353989 | + | 0.213129i | ||||
\(918\) | −22.3005 | − | 126.427i | −0.736025 | − | 4.17273i | ||||
\(919\) | 5.91387 | − | 10.2431i | 0.195081 | − | 0.337890i | −0.751846 | − | 0.659338i | \(-0.770836\pi\) |
0.946927 | + | 0.321449i | \(0.104170\pi\) | |||||||
\(920\) | 1.74360 | + | 16.2947i | 0.0574847 | + | 0.537220i | ||||
\(921\) | −1.92921 | − | 3.34149i | −0.0635697 | − | 0.110106i | ||||
\(922\) | 18.6271 | + | 6.77844i | 0.613451 | + | 0.223236i | ||||
\(923\) | −0.815832 | + | 0.815832i | −0.0268534 | + | 0.0268534i | ||||
\(924\) | 38.0218 | + | 18.5808i | 1.25082 | + | 0.611265i | ||||
\(925\) | 18.0198 | − | 9.25873i | 0.592488 | − | 0.304425i | ||||
\(926\) | −12.3071 | + | 5.73980i | −0.404436 | + | 0.188622i | ||||
\(927\) | −86.8446 | − | 23.2699i | −2.85235 | − | 0.764285i | ||||
\(928\) | −21.1904 | − | 3.72983i | −0.695610 | − | 0.122438i | ||||
\(929\) | 47.3135 | + | 27.3165i | 1.55231 | + | 0.896224i | 0.997954 | + | 0.0639427i | \(0.0203675\pi\) |
0.554353 | + | 0.832282i | \(0.312966\pi\) | |||||||
\(930\) | 41.7126 | + | 40.1399i | 1.36781 | + | 1.31624i | ||||
\(931\) | −4.03004 | − | 2.52828i | −0.132079 | − | 0.0828609i | ||||
\(932\) | −6.76790 | + | 14.5184i | −0.221690 | + | 0.475566i | ||||
\(933\) | −33.7464 | + | 9.04232i | −1.10481 | + | 0.296032i | ||||
\(934\) | −3.85686 | + | 44.1149i | −0.126200 | + | 1.44348i | ||||
\(935\) | 14.2855 | − | 32.2328i | 0.467185 | − | 1.05412i | ||||
\(936\) | 17.5811 | + | 17.5747i | 0.574655 | + | 0.574446i | ||||
\(937\) | 36.1144 | + | 36.1144i | 1.17981 | + | 1.17981i | 0.979793 | + | 0.200015i | \(0.0640990\pi\) |
0.200015 | + | 0.979793i | \(0.435901\pi\) | |||||||
\(938\) | −14.6732 | + | 20.1606i | −0.479097 | + | 0.658266i | ||||
\(939\) | − | 26.7013i | − | 0.871365i | ||||||
\(940\) | 1.76984 | + | 3.61202i | 0.0577257 | + | 0.117811i | ||||
\(941\) | −38.0916 | + | 21.9922i | −1.24175 | + | 0.716924i | −0.969450 | − | 0.245288i | \(-0.921117\pi\) |
−0.272299 | + | 0.962213i | \(0.587784\pi\) | |||||||
\(942\) | −10.3104 | + | 8.65250i | −0.335930 | + | 0.281914i | ||||
\(943\) | −2.39692 | + | 0.642254i | −0.0780546 | + | 0.0209147i | ||||
\(944\) | −24.0570 | − | 28.6559i | −0.782988 | − | 0.932670i | ||||
\(945\) | −7.42269 | − | 84.0643i | −0.241460 | − | 2.73461i | ||||
\(946\) | −11.9238 | + | 17.0312i | −0.387677 | + | 0.553731i | ||||
\(947\) | −13.5157 | + | 3.62153i | −0.439203 | + | 0.117684i | −0.471643 | − | 0.881790i | \(-0.656339\pi\) |
0.0324401 | + | 0.999474i | \(0.489672\pi\) | |||||||
\(948\) | −90.2165 | + | 7.90394i | −2.93010 | + | 0.256708i | ||||
\(949\) | −1.00650 | − | 1.74330i | −0.0326723 | − | 0.0565900i | ||||
\(950\) | −3.79718 | − | 2.94562i | −0.123197 | − | 0.0955685i | ||||
\(951\) | 20.5441i | 0.666187i | ||||||||
\(952\) | −46.2158 | + | 11.4879i | −1.49786 | + | 0.372326i | ||||
\(953\) | −7.62036 | + | 7.62036i | −0.246848 | + | 0.246848i | −0.819676 | − | 0.572828i | \(-0.805846\pi\) |
0.572828 | + | 0.819676i | \(0.305846\pi\) | |||||||
\(954\) | 12.2145 | + | 26.1899i | 0.395459 | + | 0.847930i | ||||
\(955\) | −1.93395 | + | 0.746142i | −0.0625812 | + | 0.0241446i | ||||
\(956\) | −30.8337 | − | 25.8662i | −0.997235 | − | 0.836573i | ||||
\(957\) | 7.87306 | + | 29.3826i | 0.254500 | + | 0.949806i | ||||
\(958\) | 1.08609 | − | 0.191575i | 0.0350899 | − | 0.00618949i | ||||
\(959\) | −1.33300 | − | 0.383522i | −0.0430448 | − | 0.0123846i | ||||
\(960\) | −6.15400 | − | 57.4132i | −0.198620 | − | 1.85300i | ||||
\(961\) | 0.581578 | − | 1.00732i | 0.0187606 | − | 0.0324943i | ||||
\(962\) | −4.36360 | − | 5.19970i | −0.140688 | − | 0.167645i | ||||
\(963\) | −50.8974 | − | 13.6379i | −1.64014 | − | 0.439475i | ||||
\(964\) | −9.04030 | + | 51.3064i | −0.291168 | + | 1.65247i | ||||
\(965\) | −31.8450 | + | 23.2194i | −1.02513 | + | 0.747460i | ||||
\(966\) | −29.2067 | − | 11.2393i | −0.939711 | − | 0.361620i | ||||
\(967\) | 1.97282 | − | 1.97282i | 0.0634417 | − | 0.0634417i | −0.674674 | − | 0.738116i | \(-0.735716\pi\) |
0.738116 | + | 0.674674i | \(0.235716\pi\) | |||||||
\(968\) | 0.00249882 | + | 13.7497i | 8.03150e−5 | + | 0.441934i | ||||
\(969\) | 12.0904 | − | 6.98039i | 0.388399 | − | 0.224243i | ||||
\(970\) | 1.43891 | − | 5.81465i | 0.0462005 | − | 0.186697i | ||||
\(971\) | −10.2184 | + | 17.6987i | −0.327923 | + | 0.567979i | −0.982099 | − | 0.188363i | \(-0.939682\pi\) |
0.654177 | + | 0.756342i | \(0.273015\pi\) | |||||||
\(972\) | −28.7206 | + | 61.6109i | −0.921213 | + | 1.97617i | ||||
\(973\) | −31.1485 | − | 0.571554i | −0.998576 | − | 0.0183232i | ||||
\(974\) | 29.8041 | − | 42.5702i | 0.954985 | − | 1.36404i | ||||
\(975\) | 14.1647 | − | 12.8413i | 0.453633 | − | 0.411250i | ||||
\(976\) | −1.74771 | + | 4.80541i | −0.0559428 | + | 0.153817i | ||||
\(977\) | 1.08598 | − | 4.05294i | 0.0347437 | − | 0.129665i | −0.946376 | − | 0.323068i | \(-0.895286\pi\) |
0.981119 | + | 0.193403i | \(0.0619524\pi\) | |||||||
\(978\) | −54.0770 | − | 19.6787i | −1.72919 | − | 0.629256i | ||||
\(979\) | 8.89360i | 0.284241i | ||||||||
\(980\) | −30.9194 | + | 4.89811i | −0.987684 | + | 0.156464i | ||||
\(981\) | − | 136.490i | − | 4.35781i | ||||||
\(982\) | 8.19215 | − | 22.5120i | 0.261422 | − | 0.718386i | ||||
\(983\) | −4.58467 | + | 17.1102i | −0.146228 | + | 0.545731i | 0.853469 | + | 0.521143i | \(0.174494\pi\) |
−0.999698 | + | 0.0245883i | \(0.992173\pi\) | |||||||
\(984\) | 8.44515 | − | 2.26452i | 0.269221 | − | 0.0721901i | ||||
\(985\) | −4.68232 | − | 43.8337i | −0.149191 | − | 1.39666i | ||||
\(986\) | −28.0417 | − | 19.6324i | −0.893028 | − | 0.625224i | ||||
\(987\) | −7.67989 | − | 0.140921i | −0.244454 | − | 0.00448555i | ||||
\(988\) | −0.680330 | + | 1.45943i | −0.0216442 | + | 0.0464308i | ||||
\(989\) | 7.68715 | − | 13.3145i | 0.244437 | − | 0.423378i | ||||
\(990\) | −49.7742 | + | 30.0265i | −1.58193 | + | 0.954305i | ||||
\(991\) | 8.43961 | − | 4.87261i | 0.268093 | − | 0.154784i | −0.359928 | − | 0.932980i | \(-0.617199\pi\) |
0.628021 | + | 0.778197i | \(0.283865\pi\) | |||||||
\(992\) | −30.1434 | + | 10.9816i | −0.957054 | + | 0.348667i | ||||
\(993\) | −27.9290 | + | 27.9290i | −0.886299 | + | 0.886299i | ||||
\(994\) | −1.30880 | + | 3.40106i | −0.0415126 | + | 0.107875i | ||||
\(995\) | 52.0555 | + | 8.15425i | 1.65027 | + | 0.258507i | ||||
\(996\) | 92.0652 | + | 16.2221i | 2.91720 | + | 0.514016i | ||||
\(997\) | 59.5220 | + | 15.9489i | 1.88508 | + | 0.505105i | 0.999147 | + | 0.0412903i | \(0.0131469\pi\) |
0.885932 | + | 0.463815i | \(0.153520\pi\) | |||||||
\(998\) | 15.9957 | − | 13.4236i | 0.506334 | − | 0.424917i | ||||
\(999\) | 28.8993 | − | 50.0551i | 0.914334 | − | 1.58367i |
(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 | 280.2.br.a.107.28 | yes | 176 | |
5.3 | odd | 4 | inner | 280.2.br.a.163.5 | yes | 176 | |
7.4 | even | 3 | inner | 280.2.br.a.67.33 | yes | 176 | |
8.3 | odd | 2 | inner | 280.2.br.a.107.36 | yes | 176 | |
35.18 | odd | 12 | inner | 280.2.br.a.123.36 | yes | 176 | |
40.3 | even | 4 | inner | 280.2.br.a.163.33 | yes | 176 | |
56.11 | odd | 6 | inner | 280.2.br.a.67.5 | ✓ | 176 | |
280.123 | even | 12 | inner | 280.2.br.a.123.28 | yes | 176 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
280.2.br.a.67.5 | ✓ | 176 | 56.11 | odd | 6 | inner | |
280.2.br.a.67.33 | yes | 176 | 7.4 | even | 3 | inner | |
280.2.br.a.107.28 | yes | 176 | 1.1 | even | 1 | trivial | |
280.2.br.a.107.36 | yes | 176 | 8.3 | odd | 2 | inner | |
280.2.br.a.123.28 | yes | 176 | 280.123 | even | 12 | inner | |
280.2.br.a.123.36 | yes | 176 | 35.18 | odd | 12 | inner | |
280.2.br.a.163.5 | yes | 176 | 5.3 | odd | 4 | inner | |
280.2.br.a.163.33 | yes | 176 | 40.3 | even | 4 | inner |