Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [429,2,Mod(7,429)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(429, base_ring=CyclotomicField(60))
chi = DirichletCharacter(H, H._module([0, 42, 55]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("429.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 429 = 3 \cdot 11 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 429.bs (of order \(60\), degree \(16\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.42558224671\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{60})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{60}]$ |
Embedding invariants
Embedding label | 7.3 | ||
Character | \(\chi\) | \(=\) | 429.7 |
Dual form | 429.2.bs.b.184.3 |
$q$-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 \(\left(\mathbb{Z}/429\mathbb{Z}\right)^\times\).
\(n\) | \(67\) | \(79\) | \(287\) |
\(\chi(n)\) | \(e\left(\frac{11}{12}\right)\) | \(e\left(\frac{7}{10}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.742514 | + | 1.93431i | −0.525036 | + | 1.36777i | 0.372994 | + | 0.927834i | \(0.378331\pi\) |
−0.898031 | + | 0.439933i | \(0.855002\pi\) | |||||||
\(3\) | 0.669131 | + | 0.743145i | 0.386323 | + | 0.429055i | ||||
\(4\) | −1.70395 | − | 1.53425i | −0.851977 | − | 0.767124i | ||||
\(5\) | 0.399672 | + | 0.0633018i | 0.178739 | + | 0.0283094i | 0.245162 | − | 0.969482i | \(-0.421159\pi\) |
−0.0664235 | + | 0.997792i | \(0.521159\pi\) | |||||||
\(6\) | −1.93431 | + | 0.742514i | −0.789680 | + | 0.303130i | ||||
\(7\) | −2.63195 | + | 0.137934i | −0.994782 | + | 0.0521343i | −0.542773 | − | 0.839879i | \(-0.682626\pi\) |
−0.452009 | + | 0.892014i | \(0.649292\pi\) | |||||||
\(8\) | 0.540719 | − | 0.275510i | 0.191173 | − | 0.0974075i | ||||
\(9\) | −0.104528 | + | 0.994522i | −0.0348428 | + | 0.331507i | ||||
\(10\) | −0.419207 | + | 0.726088i | −0.132565 | + | 0.229609i | ||||
\(11\) | 1.96398 | + | 2.67260i | 0.592162 | + | 0.805819i | ||||
\(12\) | − | 2.29290i | − | 0.661902i | ||||||
\(13\) | −3.44875 | + | 1.05171i | −0.956512 | + | 0.291693i | ||||
\(14\) | 1.68745 | − | 5.19343i | 0.450989 | − | 1.38800i | ||||
\(15\) | 0.220390 | + | 0.339371i | 0.0569045 | + | 0.0876252i | ||||
\(16\) | −0.347914 | − | 3.31018i | −0.0869786 | − | 0.827546i | ||||
\(17\) | −3.65164 | − | 1.62581i | −0.885652 | − | 0.394318i | −0.0870690 | − | 0.996202i | \(-0.527750\pi\) |
−0.798583 | + | 0.601885i | \(0.794417\pi\) | |||||||
\(18\) | −1.84610 | − | 0.940637i | −0.435131 | − | 0.221710i | ||||
\(19\) | −2.12408 | + | 3.27080i | −0.487298 | + | 0.750374i | −0.993718 | − | 0.111914i | \(-0.964302\pi\) |
0.506420 | + | 0.862287i | \(0.330969\pi\) | |||||||
\(20\) | −0.583902 | − | 0.721058i | −0.130564 | − | 0.161234i | ||||
\(21\) | −1.86362 | − | 1.86362i | −0.406675 | − | 0.406675i | ||||
\(22\) | −6.62793 | + | 1.81451i | −1.41308 | + | 0.386855i | ||||
\(23\) | 2.38198 | + | 1.37524i | 0.496677 | + | 0.286757i | 0.727340 | − | 0.686277i | \(-0.240756\pi\) |
−0.230663 | + | 0.973034i | \(0.574090\pi\) | |||||||
\(24\) | 0.566555 | + | 0.217480i | 0.115648 | + | 0.0443929i | ||||
\(25\) | −4.59955 | − | 1.49449i | −0.919910 | − | 0.298897i | ||||
\(26\) | 0.526400 | − | 7.45188i | 0.103236 | − | 1.46143i | ||||
\(27\) | −0.809017 | + | 0.587785i | −0.155695 | + | 0.113119i | ||||
\(28\) | 4.69634 | + | 3.80302i | 0.887525 | + | 0.718704i | ||||
\(29\) | 0.200869 | − | 0.945015i | 0.0373005 | − | 0.175485i | −0.955554 | − | 0.294816i | \(-0.904742\pi\) |
0.992855 | + | 0.119331i | \(0.0380750\pi\) | |||||||
\(30\) | −0.820093 | + | 0.174316i | −0.149728 | + | 0.0318256i | ||||
\(31\) | 1.03895 | + | 6.55968i | 0.186601 | + | 1.17815i | 0.886091 | + | 0.463511i | \(0.153410\pi\) |
−0.699490 | + | 0.714642i | \(0.746590\pi\) | |||||||
\(32\) | 7.83363 | + | 2.09902i | 1.38480 | + | 0.371057i | ||||
\(33\) | −0.671969 | + | 3.24784i | −0.116975 | + | 0.565376i | ||||
\(34\) | 5.85622 | − | 5.85622i | 1.00433 | − | 1.00433i | ||||
\(35\) | −1.06065 | − | 0.111478i | −0.179282 | − | 0.0188433i | ||||
\(36\) | 1.70395 | − | 1.53425i | 0.283992 | − | 0.255708i | ||||
\(37\) | 1.00501 | − | 0.652660i | 0.165222 | − | 0.107297i | −0.459379 | − | 0.888240i | \(-0.651928\pi\) |
0.624601 | + | 0.780944i | \(0.285261\pi\) | |||||||
\(38\) | −4.74960 | − | 6.53726i | −0.770487 | − | 1.06048i | ||||
\(39\) | −3.08924 | − | 1.85919i | −0.494675 | − | 0.297708i | ||||
\(40\) | 0.233550 | − | 0.0758850i | 0.0369275 | − | 0.0119985i | ||||
\(41\) | 6.74021 | + | 0.353240i | 1.05264 | + | 0.0551667i | 0.570799 | − | 0.821090i | \(-0.306633\pi\) |
0.481845 | + | 0.876256i | \(0.339967\pi\) | |||||||
\(42\) | 4.98859 | − | 2.22106i | 0.769756 | − | 0.342718i | ||||
\(43\) | 0.319659 | + | 0.553666i | 0.0487476 | + | 0.0844333i | 0.889370 | − | 0.457189i | \(-0.151144\pi\) |
−0.840622 | + | 0.541622i | \(0.817810\pi\) | |||||||
\(44\) | 0.753897 | − | 7.56722i | 0.113654 | − | 1.14080i | ||||
\(45\) | −0.104732 | + | 0.390865i | −0.0156125 | + | 0.0582668i | ||||
\(46\) | −4.42879 | + | 3.58637i | −0.652990 | + | 0.528781i | ||||
\(47\) | −1.80460 | − | 3.54173i | −0.263228 | − | 0.516614i | 0.721129 | − | 0.692801i | \(-0.243624\pi\) |
−0.984357 | + | 0.176187i | \(0.943624\pi\) | |||||||
\(48\) | 2.22715 | − | 2.47350i | 0.321461 | − | 0.357018i | ||||
\(49\) | −0.0535437 | + | 0.00562767i | −0.00764910 | + | 0.000803952i | ||||
\(50\) | 6.30603 | − | 7.78730i | 0.891808 | − | 1.10129i | ||||
\(51\) | −1.23521 | − | 3.80158i | −0.172964 | − | 0.532327i | ||||
\(52\) | 7.49011 | + | 3.49917i | 1.03869 | + | 0.485247i | ||||
\(53\) | 10.1814 | + | 7.39723i | 1.39852 | + | 1.01609i | 0.994869 | + | 0.101176i | \(0.0322605\pi\) |
0.403655 | + | 0.914911i | \(0.367739\pi\) | |||||||
\(54\) | −0.536255 | − | 2.00133i | −0.0729751 | − | 0.272347i | ||||
\(55\) | 0.615766 | + | 1.19249i | 0.0830299 | + | 0.160795i | ||||
\(56\) | −1.38514 | + | 0.799711i | −0.185097 | + | 0.106866i | ||||
\(57\) | −3.85197 | + | 0.610092i | −0.510206 | + | 0.0808087i | ||||
\(58\) | 1.67881 | + | 1.09023i | 0.220438 | + | 0.143154i | ||||
\(59\) | −0.457264 | − | 8.72512i | −0.0595307 | − | 1.13591i | −0.851158 | − | 0.524910i | \(-0.824099\pi\) |
0.791627 | − | 0.611004i | \(-0.209234\pi\) | |||||||
\(60\) | 0.145144 | − | 0.916406i | 0.0187381 | − | 0.118307i | ||||
\(61\) | −1.95556 | + | 4.39227i | −0.250384 | + | 0.562373i | −0.994387 | − | 0.105804i | \(-0.966258\pi\) |
0.744003 | + | 0.668177i | \(0.232925\pi\) | |||||||
\(62\) | −13.4599 | − | 2.86099i | −1.70941 | − | 0.363346i | ||||
\(63\) | 0.137934 | − | 2.63195i | 0.0173781 | − | 0.331594i | ||||
\(64\) | −5.96395 | + | 8.20867i | −0.745493 | + | 1.02608i | ||||
\(65\) | −1.44494 | + | 0.202028i | −0.179223 | + | 0.0250585i | ||||
\(66\) | −5.78339 | − | 3.71136i | −0.711887 | − | 0.456837i | ||||
\(67\) | 6.86168 | − | 1.83858i | 0.838288 | − | 0.224619i | 0.185962 | − | 0.982557i | \(-0.440460\pi\) |
0.652326 | + | 0.757938i | \(0.273793\pi\) | |||||||
\(68\) | 3.72782 | + | 8.37283i | 0.452065 | + | 1.01535i | ||||
\(69\) | 0.571856 | + | 2.69037i | 0.0688433 | + | 0.323882i | ||||
\(70\) | 1.00318 | − | 1.96885i | 0.119903 | − | 0.235322i | ||||
\(71\) | 3.98243 | + | 10.3746i | 0.472628 | + | 1.23124i | 0.938158 | + | 0.346206i | \(0.112530\pi\) |
−0.465530 | + | 0.885032i | \(0.654136\pi\) | |||||||
\(72\) | 0.217480 | + | 0.566555i | 0.0256303 | + | 0.0667692i | ||||
\(73\) | −5.58638 | + | 10.9639i | −0.653836 | + | 1.28322i | 0.291326 | + | 0.956624i | \(0.405903\pi\) |
−0.945162 | + | 0.326601i | \(0.894097\pi\) | |||||||
\(74\) | 0.516217 | + | 2.42861i | 0.0600090 | + | 0.282320i | ||||
\(75\) | −1.96708 | − | 4.41814i | −0.227139 | − | 0.510163i | ||||
\(76\) | 8.63756 | − | 2.31443i | 0.990797 | − | 0.265483i | ||||
\(77\) | −5.53773 | − | 6.76323i | −0.631083 | − | 0.770742i | ||||
\(78\) | 5.89006 | − | 4.59509i | 0.666918 | − | 0.520292i | ||||
\(79\) | 9.98961 | − | 13.7495i | 1.12392 | − | 1.54694i | 0.324786 | − | 0.945788i | \(-0.394708\pi\) |
0.799133 | − | 0.601154i | \(-0.205292\pi\) | |||||||
\(80\) | 0.0704890 | − | 1.34501i | 0.00788091 | − | 0.150377i | ||||
\(81\) | −0.978148 | − | 0.207912i | −0.108683 | − | 0.0231013i | ||||
\(82\) | −5.68798 | + | 12.7754i | −0.628132 | + | 1.41081i | ||||
\(83\) | −0.269404 | + | 1.70095i | −0.0295709 | + | 0.186703i | −0.998052 | − | 0.0623825i | \(-0.980130\pi\) |
0.968481 | + | 0.249086i | \(0.0801301\pi\) | |||||||
\(84\) | 0.316269 | + | 6.03478i | 0.0345078 | + | 0.658448i | ||||
\(85\) | −1.35654 | − | 0.880946i | −0.147137 | − | 0.0955521i | ||||
\(86\) | −1.30832 | + | 0.207217i | −0.141079 | + | 0.0223448i | ||||
\(87\) | 0.836691 | − | 0.483064i | 0.0897027 | − | 0.0517899i | ||||
\(88\) | 1.79829 | + | 0.904028i | 0.191698 | + | 0.0963697i | ||||
\(89\) | 4.46359 | + | 16.6584i | 0.473140 | + | 1.76578i | 0.628382 | + | 0.777905i | \(0.283718\pi\) |
−0.155242 | + | 0.987877i | \(0.549616\pi\) | |||||||
\(90\) | −0.678291 | − | 0.492807i | −0.0714982 | − | 0.0519465i | ||||
\(91\) | 8.93186 | − | 3.24376i | 0.936313 | − | 0.340038i | ||||
\(92\) | −1.94883 | − | 5.99789i | −0.203180 | − | 0.625323i | ||||
\(93\) | −4.17960 | + | 5.16137i | −0.433404 | + | 0.535209i | ||||
\(94\) | 8.19076 | − | 0.860883i | 0.844812 | − | 0.0887934i | ||||
\(95\) | −1.05598 | + | 1.17279i | −0.108342 | + | 0.120326i | ||||
\(96\) | 3.68185 | + | 7.22604i | 0.375777 | + | 0.737505i | ||||
\(97\) | −5.97031 | + | 4.83466i | −0.606193 | + | 0.490885i | −0.882581 | − | 0.470161i | \(-0.844196\pi\) |
0.276388 | + | 0.961046i | \(0.410863\pi\) | |||||||
\(98\) | 0.0288712 | − | 0.107749i | 0.00291643 | − | 0.0108843i | ||||
\(99\) | −2.86325 | + | 1.67386i | −0.287767 | + | 0.168229i | ||||
\(100\) | 5.54452 | + | 9.60339i | 0.554452 | + | 0.960339i | ||||
\(101\) | −0.580584 | + | 0.258493i | −0.0577703 | + | 0.0257210i | −0.435418 | − | 0.900228i | \(-0.643400\pi\) |
0.377648 | + | 0.925949i | \(0.376733\pi\) | |||||||
\(102\) | 8.27060 | + | 0.433444i | 0.818912 | + | 0.0429173i | ||||
\(103\) | −5.61183 | + | 1.82339i | −0.552950 | + | 0.179664i | −0.572146 | − | 0.820151i | \(-0.693889\pi\) |
0.0191967 | + | 0.999816i | \(0.493889\pi\) | |||||||
\(104\) | −1.57505 | + | 1.51885i | −0.154446 | + | 0.148935i | ||||
\(105\) | −0.626866 | − | 0.862806i | −0.0611758 | − | 0.0842013i | ||||
\(106\) | −21.8684 | + | 14.2015i | −2.12405 | + | 1.37937i | ||||
\(107\) | −11.5244 | + | 10.3766i | −1.11411 | + | 1.00315i | −0.114153 | + | 0.993463i | \(0.536415\pi\) |
−0.999953 | + | 0.00968254i | \(0.996918\pi\) | |||||||
\(108\) | 2.28034 | + | 0.239673i | 0.219425 | + | 0.0230625i | ||||
\(109\) | −2.62282 | + | 2.62282i | −0.251221 | + | 0.251221i | −0.821471 | − | 0.570250i | \(-0.806846\pi\) |
0.570250 | + | 0.821471i | \(0.306846\pi\) | |||||||
\(110\) | −2.76386 | + | 0.305649i | −0.263523 | + | 0.0291425i | ||||
\(111\) | 1.15750 | + | 0.310152i | 0.109865 | + | 0.0294383i | ||||
\(112\) | 1.37228 | + | 8.66423i | 0.129668 | + | 0.818693i | ||||
\(113\) | −3.70535 | + | 0.787597i | −0.348570 | + | 0.0740909i | −0.378870 | − | 0.925450i | \(-0.623687\pi\) |
0.0302997 | + | 0.999541i | \(0.490354\pi\) | |||||||
\(114\) | 1.68003 | − | 7.90392i | 0.157349 | − | 0.740270i | ||||
\(115\) | 0.864955 | + | 0.700426i | 0.0806574 | + | 0.0653151i | ||||
\(116\) | −1.79216 | + | 1.30208i | −0.166398 | + | 0.120895i | ||||
\(117\) | −0.685460 | − | 3.53979i | −0.0633708 | − | 0.327254i | ||||
\(118\) | 17.2167 | + | 5.59403i | 1.58492 | + | 0.514972i | ||||
\(119\) | 9.83516 | + | 3.77537i | 0.901588 | + | 0.346087i | ||||
\(120\) | 0.212669 | + | 0.122785i | 0.0194139 | + | 0.0112086i | ||||
\(121\) | −3.28557 | + | 10.4979i | −0.298688 | + | 0.954351i | ||||
\(122\) | −7.04400 | − | 7.04400i | −0.637733 | − | 0.637733i | ||||
\(123\) | 4.24757 | + | 5.24532i | 0.382991 | + | 0.472954i | ||||
\(124\) | 8.29384 | − | 12.7714i | 0.744809 | − | 1.14691i | ||||
\(125\) | −3.54645 | − | 1.80701i | −0.317204 | − | 0.161624i | ||||
\(126\) | 4.98859 | + | 2.22106i | 0.444419 | + | 0.197868i | ||||
\(127\) | −1.04411 | − | 9.93400i | −0.0926494 | − | 0.881500i | −0.937848 | − | 0.347047i | \(-0.887184\pi\) |
0.845198 | − | 0.534453i | \(-0.179482\pi\) | |||||||
\(128\) | −2.61581 | − | 4.02800i | −0.231207 | − | 0.356028i | ||||
\(129\) | −0.197560 | + | 0.608028i | −0.0173942 | + | 0.0535339i | ||||
\(130\) | 0.682104 | − | 2.94498i | 0.0598245 | − | 0.258292i | ||||
\(131\) | 15.9341i | 1.39217i | 0.717961 | + | 0.696083i | \(0.245075\pi\) | ||||
−0.717961 | + | 0.696083i | \(0.754925\pi\) | |||||||
\(132\) | 6.12799 | − | 4.50320i | 0.533373 | − | 0.391953i | ||||
\(133\) | 5.13932 | − | 8.90156i | 0.445635 | − | 0.771863i | ||||
\(134\) | −1.53850 | + | 14.6378i | −0.132906 | + | 1.26452i | ||||
\(135\) | −0.360549 | + | 0.183709i | −0.0310311 | + | 0.0158111i | ||||
\(136\) | −2.42244 | + | 0.126954i | −0.207722 | + | 0.0108863i | ||||
\(137\) | −8.75231 | + | 3.35970i | −0.747760 | + | 0.287038i | −0.702255 | − | 0.711926i | \(-0.747823\pi\) |
−0.0455054 | + | 0.998964i | \(0.514490\pi\) | |||||||
\(138\) | −5.62863 | − | 0.891487i | −0.479141 | − | 0.0758884i | ||||
\(139\) | 2.78882 | + | 2.51107i | 0.236545 | + | 0.212986i | 0.778874 | − | 0.627180i | \(-0.215791\pi\) |
−0.542330 | + | 0.840166i | \(0.682458\pi\) | |||||||
\(140\) | 1.63626 | + | 1.81725i | 0.138289 | + | 0.153585i | ||||
\(141\) | 1.42450 | − | 3.71096i | 0.119965 | − | 0.312519i | ||||
\(142\) | −23.0247 | −1.93219 | ||||||||
\(143\) | −9.58409 | − | 7.15159i | −0.801462 | − | 0.598046i | ||||
\(144\) | 3.32842 | 0.277368 | ||||||||
\(145\) | 0.140103 | − | 0.364980i | 0.0116349 | − | 0.0303100i | ||||
\(146\) | −17.0596 | − | 18.9466i | −1.41186 | − | 1.56803i | ||||
\(147\) | −0.0400099 | − | 0.0360251i | −0.00329996 | − | 0.00297130i | ||||
\(148\) | −2.71383 | − | 0.429828i | −0.223075 | − | 0.0353317i | ||||
\(149\) | 13.2233 | − | 5.07594i | 1.08329 | − | 0.415837i | 0.249760 | − | 0.968308i | \(-0.419648\pi\) |
0.833532 | + | 0.552471i | \(0.186315\pi\) | |||||||
\(150\) | 10.0067 | − | 0.524427i | 0.817040 | − | 0.0428192i | ||||
\(151\) | 16.1027 | − | 8.20475i | 1.31042 | − | 0.667693i | 0.347552 | − | 0.937661i | \(-0.387013\pi\) |
0.962869 | + | 0.269967i | \(0.0870129\pi\) | |||||||
\(152\) | −0.247393 | + | 2.35379i | −0.0200662 | + | 0.190918i | ||||
\(153\) | 1.99861 | − | 3.46169i | 0.161578 | − | 0.279861i | ||||
\(154\) | 17.1941 | − | 5.68992i | 1.38554 | − | 0.458506i | ||||
\(155\) | 2.68748i | 0.215864i | ||||||||
\(156\) | 2.41147 | + | 7.90764i | 0.193072 | + | 0.633118i | ||||
\(157\) | 6.49941 | − | 20.0031i | 0.518709 | − | 1.59642i | −0.257721 | − | 0.966219i | \(-0.582972\pi\) |
0.776430 | − | 0.630203i | \(-0.217028\pi\) | |||||||
\(158\) | 19.1785 | + | 29.5322i | 1.52576 | + | 2.34946i | ||||
\(159\) | 1.31548 | + | 12.5160i | 0.104324 | + | 0.992581i | ||||
\(160\) | 2.99801 | + | 1.33480i | 0.237013 | + | 0.105525i | ||||
\(161\) | −6.45893 | − | 3.29099i | −0.509035 | − | 0.259366i | ||||
\(162\) | 1.12845 | − | 1.73767i | 0.0886597 | − | 0.136524i | ||||
\(163\) | −7.89320 | − | 9.74730i | −0.618244 | − | 0.763467i | 0.367809 | − | 0.929901i | \(-0.380108\pi\) |
−0.986053 | + | 0.166434i | \(0.946775\pi\) | |||||||
\(164\) | −10.9431 | − | 10.9431i | −0.854509 | − | 0.854509i | ||||
\(165\) | −0.474161 | + | 1.25553i | −0.0369134 | + | 0.0977430i | ||||
\(166\) | −3.09013 | − | 1.78409i | −0.239841 | − | 0.138472i | ||||
\(167\) | 4.49743 | + | 1.72640i | 0.348021 | + | 0.133593i | 0.526099 | − | 0.850424i | \(-0.323654\pi\) |
−0.178077 | + | 0.984017i | \(0.556988\pi\) | |||||||
\(168\) | −1.52114 | − | 0.494248i | −0.117358 | − | 0.0381321i | ||||
\(169\) | 10.7878 | − | 7.25421i | 0.829830 | − | 0.558016i | ||||
\(170\) | 2.71128 | − | 1.96986i | 0.207945 | − | 0.151081i | ||||
\(171\) | −3.03086 | − | 2.45434i | −0.231775 | − | 0.187688i | ||||
\(172\) | 0.304776 | − | 1.43386i | 0.0232390 | − | 0.109331i | ||||
\(173\) | 4.95668 | − | 1.05358i | 0.376850 | − | 0.0801018i | −0.0155929 | − | 0.999878i | \(-0.504964\pi\) |
0.392442 | + | 0.919777i | \(0.371630\pi\) | |||||||
\(174\) | 0.313143 | + | 1.97710i | 0.0237393 | + | 0.149884i | ||||
\(175\) | 12.3119 | + | 3.29897i | 0.930693 | + | 0.249378i | ||||
\(176\) | 8.16350 | − | 7.43097i | 0.615347 | − | 0.560130i | ||||
\(177\) | 6.17806 | − | 6.17806i | 0.464371 | − | 0.464371i | ||||
\(178\) | −35.5368 | − | 3.73506i | −2.66359 | − | 0.279955i | ||||
\(179\) | 15.1254 | − | 13.6190i | 1.13052 | − | 1.01793i | 0.130877 | − | 0.991399i | \(-0.458221\pi\) |
0.999648 | − | 0.0265302i | \(-0.00844582\pi\) | |||||||
\(180\) | 0.778143 | − | 0.505332i | 0.0579993 | − | 0.0376652i | ||||
\(181\) | −4.59711 | − | 6.32738i | −0.341700 | − | 0.470310i | 0.603237 | − | 0.797562i | \(-0.293877\pi\) |
−0.944937 | + | 0.327252i | \(0.893877\pi\) | |||||||
\(182\) | −0.357585 | + | 19.6856i | −0.0265060 | + | 1.45919i | ||||
\(183\) | −4.57262 | + | 1.48573i | −0.338018 | + | 0.109829i | ||||
\(184\) | 1.66687 | + | 0.0873571i | 0.122883 | + | 0.00644005i | ||||
\(185\) | 0.442988 | − | 0.197231i | 0.0325691 | − | 0.0145007i | ||||
\(186\) | −6.88031 | − | 11.9170i | −0.504488 | − | 0.873800i | ||||
\(187\) | −2.82659 | − | 12.9524i | −0.206701 | − | 0.947175i | ||||
\(188\) | −2.35893 | + | 8.80365i | −0.172043 | + | 0.642072i | ||||
\(189\) | 2.04821 | − | 1.65861i | 0.148986 | − | 0.120646i | ||||
\(190\) | −1.48446 | − | 2.91342i | −0.107694 | − | 0.211361i | ||||
\(191\) | −0.0374206 | + | 0.0415598i | −0.00270766 | + | 0.00300716i | −0.744497 | − | 0.667626i | \(-0.767311\pi\) |
0.741789 | + | 0.670633i | \(0.233977\pi\) | |||||||
\(192\) | −10.0909 | + | 1.06060i | −0.728247 | + | 0.0765419i | ||||
\(193\) | −11.4706 | + | 14.1650i | −0.825670 | + | 1.01962i | 0.173724 | + | 0.984794i | \(0.444420\pi\) |
−0.999393 | + | 0.0348229i | \(0.988913\pi\) | |||||||
\(194\) | −4.91871 | − | 15.1382i | −0.353143 | − | 1.08686i | ||||
\(195\) | −1.11699 | − | 0.938619i | −0.0799895 | − | 0.0672159i | ||||
\(196\) | 0.0998702 | + | 0.0725600i | 0.00713359 | + | 0.00518285i | ||||
\(197\) | 4.50150 | + | 16.7998i | 0.320719 | + | 1.19694i | 0.918546 | + | 0.395314i | \(0.129364\pi\) |
−0.597827 | + | 0.801625i | \(0.703969\pi\) | |||||||
\(198\) | −1.11176 | − | 6.78129i | −0.0790097 | − | 0.481925i | ||||
\(199\) | 13.8433 | − | 7.99243i | 0.981325 | − | 0.566568i | 0.0786553 | − | 0.996902i | \(-0.474937\pi\) |
0.902670 | + | 0.430333i | \(0.141604\pi\) | |||||||
\(200\) | −2.89881 | + | 0.459126i | −0.204977 | + | 0.0324651i | ||||
\(201\) | 5.95769 | + | 3.86897i | 0.420223 | + | 0.272896i | ||||
\(202\) | −0.0689145 | − | 1.31497i | −0.00484881 | − | 0.0925207i | ||||
\(203\) | −0.398327 | + | 2.51493i | −0.0279570 | + | 0.176514i | ||||
\(204\) | −3.72782 | + | 8.37283i | −0.261000 | + | 0.586215i | ||||
\(205\) | 2.67151 | + | 0.567847i | 0.186586 | + | 0.0396602i | ||||
\(206\) | 0.639843 | − | 12.2089i | 0.0445800 | − | 0.850636i | ||||
\(207\) | −1.61669 | + | 2.22518i | −0.112368 | + | 0.154661i | ||||
\(208\) | 4.68124 | + | 11.0501i | 0.324585 | + | 0.766186i | ||||
\(209\) | −12.9132 | + | 0.746964i | −0.893225 | + | 0.0516686i | ||||
\(210\) | 2.13439 | − | 0.571909i | 0.147287 | − | 0.0394655i | ||||
\(211\) | 1.67646 | + | 3.76539i | 0.115412 | + | 0.259220i | 0.962011 | − | 0.273012i | \(-0.0880200\pi\) |
−0.846598 | + | 0.532232i | \(0.821353\pi\) | |||||||
\(212\) | −5.99948 | − | 28.2253i | −0.412046 | − | 1.93852i | ||||
\(213\) | −5.04506 | + | 9.90149i | −0.345682 | + | 0.678439i | ||||
\(214\) | −11.5146 | − | 29.9966i | −0.787123 | − | 2.05053i | ||||
\(215\) | 0.0927107 | + | 0.241520i | 0.00632282 | + | 0.0164715i | ||||
\(216\) | −0.275510 | + | 0.540719i | −0.0187461 | + | 0.0367912i | ||||
\(217\) | −3.63927 | − | 17.1214i | −0.247049 | − | 1.16228i | ||||
\(218\) | −3.12588 | − | 7.02085i | −0.211711 | − | 0.475512i | ||||
\(219\) | −11.8858 | + | 3.18478i | −0.803166 | + | 0.215208i | ||||
\(220\) | 0.780329 | − | 2.97668i | 0.0526098 | − | 0.200688i | ||||
\(221\) | 14.3035 | + | 1.76655i | 0.962157 | + | 0.118831i | ||||
\(222\) | −1.45939 | + | 2.00868i | −0.0979480 | + | 0.134814i | ||||
\(223\) | −0.636238 | + | 12.1402i | −0.0426057 | + | 0.812965i | 0.890856 | + | 0.454287i | \(0.150106\pi\) |
−0.933461 | + | 0.358678i | \(0.883228\pi\) | |||||||
\(224\) | −20.9072 | − | 4.44397i | −1.39692 | − | 0.296925i | ||||
\(225\) | 1.96708 | − | 4.41814i | 0.131139 | − | 0.294543i | ||||
\(226\) | 1.22781 | − | 7.75211i | 0.0816730 | − | 0.515663i | ||||
\(227\) | −0.673286 | − | 12.8471i | −0.0446875 | − | 0.852689i | −0.925389 | − | 0.379018i | \(-0.876262\pi\) |
0.880702 | − | 0.473671i | \(-0.157071\pi\) | |||||||
\(228\) | 7.49961 | + | 4.87031i | 0.496674 | + | 0.322544i | ||||
\(229\) | −16.1721 | + | 2.56140i | −1.06868 | + | 0.169262i | −0.665905 | − | 0.746037i | \(-0.731954\pi\) |
−0.402775 | + | 0.915299i | \(0.631954\pi\) | |||||||
\(230\) | −1.99709 | + | 1.15302i | −0.131684 | + | 0.0760277i | ||||
\(231\) | 1.32060 | − | 8.64082i | 0.0868889 | − | 0.568524i | ||||
\(232\) | −0.151747 | − | 0.566329i | −0.00996270 | − | 0.0371813i | ||||
\(233\) | −14.5438 | − | 10.5667i | −0.952793 | − | 0.692245i | −0.00132743 | − | 0.999999i | \(-0.500423\pi\) |
−0.951466 | + | 0.307754i | \(0.900423\pi\) | |||||||
\(234\) | 7.35604 | + | 1.30245i | 0.480879 | + | 0.0851438i | ||||
\(235\) | −0.497050 | − | 1.52976i | −0.0324240 | − | 0.0997907i | ||||
\(236\) | −12.6073 | + | 15.5688i | −0.820668 | + | 1.01344i | ||||
\(237\) | 16.9022 | − | 1.77650i | 1.09792 | − | 0.115396i | ||||
\(238\) | −14.6055 | + | 16.2210i | −0.946733 | + | 1.05145i | ||||
\(239\) | −4.37634 | − | 8.58905i | −0.283082 | − | 0.555580i | 0.705055 | − | 0.709152i | \(-0.250922\pi\) |
−0.988137 | + | 0.153573i | \(0.950922\pi\) | |||||||
\(240\) | 1.04670 | − | 0.847604i | 0.0675644 | − | 0.0547126i | ||||
\(241\) | 1.66713 | − | 6.22182i | 0.107389 | − | 0.400782i | −0.891216 | − | 0.453579i | \(-0.850147\pi\) |
0.998605 | + | 0.0527968i | \(0.0168136\pi\) | |||||||
\(242\) | −17.8666 | − | 14.1501i | −1.14851 | − | 0.909605i | ||||
\(243\) | −0.500000 | − | 0.866025i | −0.0320750 | − | 0.0555556i | ||||
\(244\) | 10.0710 | − | 4.48391i | 0.644731 | − | 0.287053i | ||||
\(245\) | −0.0217561 | − | 0.00114019i | −0.00138995 | − | 7.28441e-5i | ||||
\(246\) | −13.3000 | + | 4.32142i | −0.847975 | + | 0.275524i | ||||
\(247\) | 3.88549 | − | 13.5141i | 0.247228 | − | 0.859883i | ||||
\(248\) | 2.36904 | + | 3.26070i | 0.150434 | + | 0.207055i | ||||
\(249\) | −1.44432 | + | 0.937951i | −0.0915299 | + | 0.0594402i | ||||
\(250\) | 6.12861 | − | 5.51822i | 0.387607 | − | 0.349003i | ||||
\(251\) | 17.8320 | + | 1.87422i | 1.12555 | + | 0.118300i | 0.648957 | − | 0.760825i | \(-0.275205\pi\) |
0.476591 | + | 0.879125i | \(0.341872\pi\) | |||||||
\(252\) | −4.27309 | + | 4.27309i | −0.269179 | + | 0.269179i | ||||
\(253\) | 1.00270 | + | 9.06701i | 0.0630394 | + | 0.570038i | ||||
\(254\) | 19.9907 | + | 5.35650i | 1.25433 | + | 0.336097i | ||||
\(255\) | −0.253031 | − | 1.59757i | −0.0158454 | − | 0.100044i | ||||
\(256\) | −10.1158 | + | 2.15018i | −0.632238 | + | 0.134386i | ||||
\(257\) | −2.32108 | + | 10.9198i | −0.144785 | + | 0.681159i | 0.844547 | + | 0.535481i | \(0.179870\pi\) |
−0.989332 | + | 0.145678i | \(0.953464\pi\) | |||||||
\(258\) | −1.02943 | − | 0.833613i | −0.0640893 | − | 0.0518985i | ||||
\(259\) | −2.55510 | + | 1.85639i | −0.158766 | + | 0.115350i | ||||
\(260\) | 2.77208 | + | 1.87265i | 0.171917 | + | 0.116137i | ||||
\(261\) | 0.918842 | + | 0.298550i | 0.0568749 | + | 0.0184798i | ||||
\(262\) | −30.8215 | − | 11.8313i | −1.90416 | − | 0.730938i | ||||
\(263\) | −0.0758475 | − | 0.0437906i | −0.00467696 | − | 0.00270024i | 0.497660 | − | 0.867372i | \(-0.334193\pi\) |
−0.502337 | + | 0.864672i | \(0.667526\pi\) | |||||||
\(264\) | 0.531465 | + | 1.94130i | 0.0327094 | + | 0.119479i | ||||
\(265\) | 3.60096 | + | 3.60096i | 0.221205 | + | 0.221205i | ||||
\(266\) | 13.4024 | + | 16.5506i | 0.821754 | + | 1.01478i | ||||
\(267\) | −9.39284 | + | 14.4637i | −0.574833 | + | 0.885165i | ||||
\(268\) | −14.5128 | − | 7.39466i | −0.886513 | − | 0.451701i | ||||
\(269\) | 5.79036 | + | 2.57804i | 0.353045 | + | 0.157186i | 0.575594 | − | 0.817736i | \(-0.304771\pi\) |
−0.222549 | + | 0.974922i | \(0.571438\pi\) | |||||||
\(270\) | −0.0876381 | − | 0.833821i | −0.00533349 | − | 0.0507447i | ||||
\(271\) | 6.25896 | + | 9.63795i | 0.380204 | + | 0.585464i | 0.976026 | − | 0.217653i | \(-0.0698402\pi\) |
−0.595822 | + | 0.803117i | \(0.703174\pi\) | |||||||
\(272\) | −4.11128 | + | 12.6532i | −0.249283 | + | 0.767215i | ||||
\(273\) | 8.38716 | + | 4.46717i | 0.507614 | + | 0.270365i | ||||
\(274\) | − | 19.4243i | − | 1.17347i | ||||||
\(275\) | −5.03927 | − | 15.2279i | −0.303879 | − | 0.918277i | ||||
\(276\) | 3.15328 | − | 5.46163i | 0.189805 | − | 0.328752i | ||||
\(277\) | 2.67126 | − | 25.4153i | 0.160500 | − | 1.52706i | −0.557007 | − | 0.830508i | \(-0.688050\pi\) |
0.717507 | − | 0.696551i | \(-0.245283\pi\) | |||||||
\(278\) | −6.92793 | + | 3.52996i | −0.415510 | + | 0.211713i | ||||
\(279\) | −6.63234 | + | 0.347586i | −0.397068 | + | 0.0208094i | ||||
\(280\) | −0.604224 | + | 0.231940i | −0.0361093 | + | 0.0138611i | ||||
\(281\) | −13.1924 | − | 2.08948i | −0.786994 | − | 0.124648i | −0.250014 | − | 0.968242i | \(-0.580435\pi\) |
−0.536981 | + | 0.843595i | \(0.680435\pi\) | |||||||
\(282\) | 6.12045 | + | 5.51088i | 0.364467 | + | 0.328168i | ||||
\(283\) | −1.20858 | − | 1.34227i | −0.0718427 | − | 0.0797894i | 0.706152 | − | 0.708060i | \(-0.250430\pi\) |
−0.777995 | + | 0.628271i | \(0.783763\pi\) | |||||||
\(284\) | 9.13131 | − | 23.7879i | 0.541844 | − | 1.41155i | ||||
\(285\) | −1.57814 | −0.0934811 | ||||||||
\(286\) | 20.9497 | − | 13.2285i | 1.23878 | − | 0.782217i | ||||
\(287\) | −17.7886 | −1.05003 | ||||||||
\(288\) | −2.90636 | + | 7.57131i | −0.171259 | + | 0.446144i | ||||
\(289\) | −0.684035 | − | 0.759698i | −0.0402374 | − | 0.0446881i | ||||
\(290\) | 0.601958 | + | 0.542006i | 0.0353482 | + | 0.0318277i | ||||
\(291\) | −7.58777 | − | 1.20178i | −0.444803 | − | 0.0704498i | ||||
\(292\) | 26.3402 | − | 10.1111i | 1.54145 | − | 0.591706i | ||||
\(293\) | 11.0237 | − | 0.577725i | 0.644009 | − | 0.0337511i | 0.272464 | − | 0.962166i | \(-0.412161\pi\) |
0.371545 | + | 0.928415i | \(0.378828\pi\) | |||||||
\(294\) | 0.0993917 | − | 0.0506426i | 0.00579664 | − | 0.00295354i | ||||
\(295\) | 0.369560 | − | 3.51613i | 0.0215166 | − | 0.204717i | ||||
\(296\) | 0.363612 | − | 0.629795i | 0.0211345 | − | 0.0366061i | ||||
\(297\) | −3.15981 | − | 1.00778i | −0.183351 | − | 0.0584773i | ||||
\(298\) | 29.3469i | 1.70002i | ||||||||
\(299\) | −9.66122 | − | 2.23769i | −0.558723 | − | 0.129409i | ||||
\(300\) | −3.42670 | + | 10.5463i | −0.197841 | + | 0.608891i | ||||
\(301\) | −0.917696 | − | 1.41313i | −0.0528951 | − | 0.0814513i | ||||
\(302\) | 3.91407 | + | 37.2399i | 0.225229 | + | 2.14291i | ||||
\(303\) | −0.580584 | − | 0.258493i | −0.0333537 | − | 0.0148500i | ||||
\(304\) | 11.5660 | + | 5.89315i | 0.663353 | + | 0.337995i | ||||
\(305\) | −1.05962 | + | 1.63167i | −0.0606738 | + | 0.0934294i | ||||
\(306\) | 5.21200 | + | 6.43629i | 0.297950 | + | 0.367938i | ||||
\(307\) | 20.3633 | + | 20.3633i | 1.16219 | + | 1.16219i | 0.983994 | + | 0.178200i | \(0.0570273\pi\) |
0.178200 | + | 0.983994i | \(0.442973\pi\) | |||||||
\(308\) | −0.940435 | + | 20.0205i | −0.0535863 | + | 1.14077i | ||||
\(309\) | −5.11009 | − | 2.95031i | −0.290703 | − | 0.167837i | ||||
\(310\) | −5.19844 | − | 1.99549i | −0.295251 | − | 0.113336i | ||||
\(311\) | 26.7790 | + | 8.70101i | 1.51850 | + | 0.493389i | 0.945348 | − | 0.326064i | \(-0.105722\pi\) |
0.573147 | + | 0.819452i | \(0.305722\pi\) | |||||||
\(312\) | −2.18264 | − | 0.154181i | −0.123567 | − | 0.00872879i | ||||
\(313\) | −12.9069 | + | 9.37739i | −0.729540 | + | 0.530042i | −0.889418 | − | 0.457095i | \(-0.848890\pi\) |
0.159878 | + | 0.987137i | \(0.448890\pi\) | |||||||
\(314\) | 33.8664 | + | 27.4245i | 1.91119 | + | 1.54765i | ||||
\(315\) | 0.221735 | − | 1.04318i | 0.0124934 | − | 0.0587767i | ||||
\(316\) | −38.1170 | + | 8.10202i | −2.14425 | + | 0.455774i | ||||
\(317\) | −2.99929 | − | 18.9368i | −0.168457 | − | 1.06360i | −0.916526 | − | 0.399975i | \(-0.869019\pi\) |
0.748069 | − | 0.663621i | \(-0.230981\pi\) | |||||||
\(318\) | −25.1866 | − | 6.74872i | −1.41239 | − | 0.378450i | ||||
\(319\) | 2.92015 | − | 1.31915i | 0.163497 | − | 0.0738581i | ||||
\(320\) | −2.90324 | + | 2.90324i | −0.162296 | + | 0.162296i | ||||
\(321\) | −15.4227 | − | 1.62099i | −0.860809 | − | 0.0904747i | ||||
\(322\) | 11.1617 | − | 10.0500i | 0.622015 | − | 0.560065i | ||||
\(323\) | 13.0741 | − | 8.49042i | 0.727462 | − | 0.472420i | ||||
\(324\) | 1.34773 | + | 1.85499i | 0.0748740 | + | 0.103055i | ||||
\(325\) | 17.4345 | + | 0.316695i | 0.967092 | + | 0.0175671i | ||||
\(326\) | 24.7151 | − | 8.03044i | 1.36885 | − | 0.444765i | ||||
\(327\) | −3.70415 | − | 0.194126i | −0.204840 | − | 0.0107352i | ||||
\(328\) | 3.74188 | − | 1.66599i | 0.206611 | − | 0.0919890i | ||||
\(329\) | 5.23814 | + | 9.07272i | 0.288788 | + | 0.500195i | ||||
\(330\) | −2.07652 | − | 1.84943i | −0.114309 | − | 0.101808i | ||||
\(331\) | 2.87756 | − | 10.7392i | 0.158165 | − | 0.590280i | −0.840648 | − | 0.541581i | \(-0.817826\pi\) |
0.998814 | − | 0.0486989i | \(-0.0155075\pi\) | |||||||
\(332\) | 3.06873 | − | 2.48501i | 0.168418 | − | 0.136382i | ||||
\(333\) | 0.544032 | + | 1.06772i | 0.0298128 | + | 0.0585109i | ||||
\(334\) | −6.67880 | + | 7.41756i | −0.365448 | + | 0.405871i | ||||
\(335\) | 2.85880 | − | 0.300472i | 0.156193 | − | 0.0164166i | ||||
\(336\) | −5.52055 | + | 6.81731i | −0.301170 | + | 0.371914i | ||||
\(337\) | 7.28554 | + | 22.4226i | 0.396869 | + | 1.22144i | 0.927497 | + | 0.373832i | \(0.121956\pi\) |
−0.530628 | + | 0.847605i | \(0.678044\pi\) | |||||||
\(338\) | 6.02183 | + | 26.2533i | 0.327544 | + | 1.42799i | ||||
\(339\) | −3.06466 | − | 2.22661i | −0.166450 | − | 0.120933i | ||||
\(340\) | 0.959890 | + | 3.58236i | 0.0520574 | + | 0.194281i | ||||
\(341\) | −15.4909 | + | 15.6598i | −0.838880 | + | 0.848024i | ||||
\(342\) | 6.99792 | − | 4.04025i | 0.378404 | − | 0.218472i | ||||
\(343\) | 18.3619 | − | 2.90824i | 0.991450 | − | 0.157030i | ||||
\(344\) | 0.325386 | + | 0.211308i | 0.0175437 | + | 0.0113930i | ||||
\(345\) | 0.0582493 | + | 1.11146i | 0.00313604 | + | 0.0598392i | ||||
\(346\) | −1.64246 | + | 10.3701i | −0.0882991 | + | 0.557499i | ||||
\(347\) | 3.90073 | − | 8.76118i | 0.209402 | − | 0.470325i | −0.778058 | − | 0.628192i | \(-0.783795\pi\) |
0.987460 | + | 0.157867i | \(0.0504619\pi\) | |||||||
\(348\) | −2.16682 | − | 0.460572i | −0.116154 | − | 0.0246893i | ||||
\(349\) | −0.0153286 | + | 0.292487i | −0.000820520 | + | 0.0156565i | −0.999009 | − | 0.0445061i | \(-0.985829\pi\) |
0.998189 | + | 0.0601626i | \(0.0191619\pi\) | |||||||
\(350\) | −15.5230 | + | 21.3656i | −0.829739 | + | 1.14204i | ||||
\(351\) | 2.17192 | − | 2.87798i | 0.115928 | − | 0.153615i | ||||
\(352\) | 9.77527 | + | 25.0586i | 0.521024 | + | 1.33563i | ||||
\(353\) | 17.2812 | − | 4.63048i | 0.919785 | − | 0.246456i | 0.232292 | − | 0.972646i | \(-0.425378\pi\) |
0.687494 | + | 0.726190i | \(0.258711\pi\) | |||||||
\(354\) | 7.36301 | + | 16.5376i | 0.391340 | + | 0.878964i | ||||
\(355\) | 0.934936 | + | 4.39853i | 0.0496212 | + | 0.233450i | ||||
\(356\) | 17.9523 | − | 35.2333i | 0.951469 | − | 1.86736i | ||||
\(357\) | 3.77537 | + | 9.83516i | 0.199814 | + | 0.520532i | ||||
\(358\) | 15.1125 | + | 39.3695i | 0.798723 | + | 2.08074i | ||||
\(359\) | 2.32983 | − | 4.57255i | 0.122964 | − | 0.241330i | −0.821316 | − | 0.570473i | \(-0.806760\pi\) |
0.944280 | + | 0.329143i | \(0.106760\pi\) | |||||||
\(360\) | 0.0510567 | + | 0.240203i | 0.00269092 | + | 0.0126598i | ||||
\(361\) | 1.54158 | + | 3.46244i | 0.0811357 | + | 0.182234i | ||||
\(362\) | 15.6526 | − | 4.19409i | 0.822680 | − | 0.220436i | ||||
\(363\) | −9.99990 | + | 4.58278i | −0.524859 | + | 0.240534i | ||||
\(364\) | −20.1962 | − | 8.17647i | −1.05857 | − | 0.428564i | ||||
\(365\) | −2.92675 | + | 4.02832i | −0.153193 | + | 0.210852i | ||||
\(366\) | 0.521356 | − | 9.94806i | 0.0272517 | − | 0.519994i | ||||
\(367\) | −23.8900 | − | 5.07799i | −1.24705 | − | 0.265069i | −0.463332 | − | 0.886185i | \(-0.653346\pi\) |
−0.783718 | + | 0.621116i | \(0.786679\pi\) | |||||||
\(368\) | 3.72356 | − | 8.36325i | 0.194104 | − | 0.435965i | ||||
\(369\) | −1.05585 | + | 6.66636i | −0.0549653 | + | 0.347037i | ||||
\(370\) | 0.0525820 | + | 1.00332i | 0.00273361 | + | 0.0521603i | ||||
\(371\) | −27.8172 | − | 18.0647i | −1.44420 | − | 0.937874i | ||||
\(372\) | 15.0407 | − | 2.38221i | 0.779822 | − | 0.123512i | ||||
\(373\) | −0.0781584 | + | 0.0451248i | −0.00404689 | + | 0.00233647i | −0.502022 | − | 0.864855i | \(-0.667410\pi\) |
0.497975 | + | 0.867191i | \(0.334077\pi\) | |||||||
\(374\) | 27.1528 | + | 4.14983i | 1.40404 | + | 0.214583i | ||||
\(375\) | −1.03017 | − | 3.84465i | −0.0531978 | − | 0.198537i | ||||
\(376\) | −1.95156 | − | 1.41789i | −0.100644 | − | 0.0731223i | ||||
\(377\) | 0.301138 | + | 3.47038i | 0.0155094 | + | 0.178734i | ||||
\(378\) | 1.68745 | + | 5.19343i | 0.0867929 | + | 0.267121i | ||||
\(379\) | −6.64907 | + | 8.21092i | −0.341540 | + | 0.421767i | −0.918757 | − | 0.394824i | \(-0.870805\pi\) |
0.577217 | + | 0.816591i | \(0.304139\pi\) | |||||||
\(380\) | 3.59870 | − | 0.378238i | 0.184609 | − | 0.0194032i | ||||
\(381\) | 6.68376 | − | 7.42307i | 0.342419 | − | 0.380295i | ||||
\(382\) | −0.0526044 | − | 0.103242i | −0.00269148 | − | 0.00528232i | ||||
\(383\) | −3.91809 | + | 3.17280i | −0.200205 | + | 0.162123i | −0.724180 | − | 0.689611i | \(-0.757782\pi\) |
0.523975 | + | 0.851733i | \(0.324448\pi\) | |||||||
\(384\) | 1.24307 | − | 4.63919i | 0.0634350 | − | 0.236743i | ||||
\(385\) | −1.78515 | − | 3.05362i | −0.0909796 | − | 0.155627i | ||||
\(386\) | −18.8825 | − | 32.7054i | −0.961092 | − | 1.66466i | ||||
\(387\) | −0.584047 | + | 0.260034i | −0.0296888 | + | 0.0132183i | ||||
\(388\) | 17.5907 | + | 0.921889i | 0.893032 | + | 0.0468018i | ||||
\(389\) | 20.3200 | − | 6.60237i | 1.03027 | − | 0.334753i | 0.255370 | − | 0.966843i | \(-0.417803\pi\) |
0.774895 | + | 0.632090i | \(0.217803\pi\) | |||||||
\(390\) | 2.64497 | − | 1.46368i | 0.133933 | − | 0.0741161i | ||||
\(391\) | −6.46225 | − | 8.89452i | −0.326810 | − | 0.449815i | ||||
\(392\) | −0.0274016 | + | 0.0177948i | −0.00138399 | + | 0.000898773i | ||||
\(393\) | −11.8413 | + | 10.6620i | −0.597316 | + | 0.537825i | ||||
\(394\) | −35.8386 | − | 3.76679i | −1.80552 | − | 0.189768i | ||||
\(395\) | 4.86293 | − | 4.86293i | 0.244681 | − | 0.244681i | ||||
\(396\) | 7.44696 | + | 1.54076i | 0.374224 | + | 0.0774259i | ||||
\(397\) | −20.7104 | − | 5.54932i | −1.03942 | − | 0.278513i | −0.301549 | − | 0.953451i | \(-0.597504\pi\) |
−0.737874 | + | 0.674938i | \(0.764170\pi\) | |||||||
\(398\) | 5.18104 | + | 32.7118i | 0.259702 | + | 1.63969i | ||||
\(399\) | 10.0540 | − | 2.13705i | 0.503331 | − | 0.106986i | ||||
\(400\) | −3.34677 | + | 15.7453i | −0.167339 | + | 0.787266i | ||||
\(401\) | −19.9969 | − | 16.1932i | −0.998599 | − | 0.808650i | −0.0170491 | − | 0.999855i | \(-0.505427\pi\) |
−0.981550 | + | 0.191205i | \(0.938760\pi\) | |||||||
\(402\) | −11.9075 | + | 8.65129i | −0.593891 | + | 0.431487i | ||||
\(403\) | −10.4820 | − | 21.5300i | −0.522145 | − | 1.07249i | ||||
\(404\) | 1.38588 | + | 0.450300i | 0.0689502 | + | 0.0224033i | ||||
\(405\) | −0.377777 | − | 0.145015i | −0.0187719 | − | 0.00720585i | ||||
\(406\) | −4.56891 | − | 2.63786i | −0.226751 | − | 0.130915i | ||||
\(407\) | 3.71811 | + | 1.40417i | 0.184300 | + | 0.0696023i | ||||
\(408\) | −1.71527 | − | 1.71527i | −0.0849186 | − | 0.0849186i | ||||
\(409\) | −20.1337 | − | 24.8630i | −0.995547 | − | 1.22940i | −0.973274 | − | 0.229646i | \(-0.926243\pi\) |
−0.0222726 | − | 0.999752i | \(-0.507090\pi\) | |||||||
\(410\) | −3.08203 | + | 4.74591i | −0.152210 | + | 0.234384i | ||||
\(411\) | −8.35318 | − | 4.25616i | −0.412032 | − | 0.209941i | ||||
\(412\) | 12.3598 | + | 5.50295i | 0.608925 | + | 0.271111i | ||||
\(413\) | 2.40699 | + | 22.9010i | 0.118440 | + | 1.12688i | ||||
\(414\) | −3.10378 | − | 4.77941i | −0.152543 | − | 0.234895i | ||||
\(415\) | −0.215346 | + | 0.662767i | −0.0105709 | + | 0.0325340i | ||||
\(416\) | −29.2238 | + | 0.999758i | −1.43282 | + | 0.0490172i | ||||
\(417\) | 3.75273i | 0.183772i | ||||||||
\(418\) | 8.14336 | − | 25.5328i | 0.398305 | − | 1.24885i | ||||
\(419\) | −8.15476 | + | 14.1245i | −0.398386 | + | 0.690025i | −0.993527 | − | 0.113597i | \(-0.963763\pi\) |
0.595141 | + | 0.803621i | \(0.297096\pi\) | |||||||
\(420\) | −0.255608 | + | 2.43195i | −0.0124724 | + | 0.118667i | ||||
\(421\) | −26.1120 | + | 13.3048i | −1.27262 | + | 0.648434i | −0.954102 | − | 0.299482i | \(-0.903186\pi\) |
−0.318521 | + | 0.947916i | \(0.603186\pi\) | |||||||
\(422\) | −8.52823 | + | 0.446946i | −0.415148 | + | 0.0217570i | ||||
\(423\) | 3.71096 | − | 1.42450i | 0.180433 | − | 0.0692618i | ||||
\(424\) | 7.54329 | + | 1.19474i | 0.366334 | + | 0.0580217i | ||||
\(425\) | 14.3661 | + | 12.9353i | 0.696860 | + | 0.627456i | ||||
\(426\) | −15.4066 | − | 17.1107i | −0.746450 | − | 0.829017i | ||||
\(427\) | 4.54109 | − | 11.8300i | 0.219759 | − | 0.572492i | ||||
\(428\) | 35.5574 | 1.71873 | ||||||||
\(429\) | −1.09834 | − | 11.9077i | −0.0530285 | − | 0.574910i | ||||
\(430\) | −0.536014 | −0.0258489 | ||||||||
\(431\) | 10.2741 | − | 26.7649i | 0.494885 | − | 1.28922i | −0.427872 | − | 0.903839i | \(-0.640737\pi\) |
0.922757 | − | 0.385381i | \(-0.125930\pi\) | |||||||
\(432\) | 2.22715 | + | 2.47350i | 0.107154 | + | 0.119006i | ||||
\(433\) | −2.19875 | − | 1.97976i | −0.105665 | − | 0.0951414i | 0.614605 | − | 0.788835i | \(-0.289315\pi\) |
−0.720270 | + | 0.693694i | \(0.755982\pi\) | |||||||
\(434\) | 35.8204 | + | 5.67339i | 1.71943 | + | 0.272331i | ||||
\(435\) | 0.364980 | − | 0.140103i | 0.0174995 | − | 0.00671741i | ||||
\(436\) | 8.49323 | − | 0.445111i | 0.406752 | − | 0.0213170i | ||||
\(437\) | −9.55765 | + | 4.86987i | −0.457205 | + | 0.232957i | ||||
\(438\) | 2.66498 | − | 25.3555i | 0.127337 | − | 1.21153i | ||||
\(439\) | 6.84491 | − | 11.8557i | 0.326690 | − | 0.565843i | −0.655163 | − | 0.755488i | \(-0.727400\pi\) |
0.981853 | + | 0.189644i | \(0.0607334\pi\) | |||||||
\(440\) | 0.661498 | + | 0.475149i | 0.0315357 | + | 0.0226518i | ||||
\(441\) | − | 0.0538386i | − | 0.00256374i | ||||||
\(442\) | −14.0376 | + | 26.3557i | −0.667700 | + | 1.25362i | ||||
\(443\) | −10.9562 | + | 33.7196i | −0.520543 | + | 1.60207i | 0.252420 | + | 0.967618i | \(0.418773\pi\) |
−0.772964 | + | 0.634450i | \(0.781227\pi\) | |||||||
\(444\) | −1.49648 | − | 2.30438i | −0.0710199 | − | 0.109361i | ||||
\(445\) | 0.729468 | + | 6.94042i | 0.0345801 | + | 0.329008i | ||||
\(446\) | −23.0104 | − | 10.2449i | −1.08958 | − | 0.485111i | ||||
\(447\) | 12.6203 | + | 6.43034i | 0.596918 | + | 0.304145i | ||||
\(448\) | 14.5645 | − | 22.4274i | 0.688109 | − | 1.05960i | ||||
\(449\) | −6.12551 | − | 7.56437i | −0.289080 | − | 0.356985i | 0.611830 | − | 0.790989i | \(-0.290434\pi\) |
−0.900911 | + | 0.434004i | \(0.857100\pi\) | |||||||
\(450\) | 7.08548 | + | 7.08548i | 0.334013 | + | 0.334013i | ||||
\(451\) | 12.2936 | + | 18.7076i | 0.578882 | + | 0.880908i | ||||
\(452\) | 7.52212 | + | 4.34290i | 0.353811 | + | 0.204273i | ||||
\(453\) | 16.8721 | + | 6.47661i | 0.792723 | + | 0.304298i | ||||
\(454\) | 25.3502 | + | 8.23677i | 1.18974 | + | 0.386571i | ||||
\(455\) | 3.77515 | − | 0.731035i | 0.176982 | − | 0.0342714i | ||||
\(456\) | −1.91475 | + | 1.39114i | −0.0896662 | + | 0.0651463i | ||||
\(457\) | 17.1495 | + | 13.8874i | 0.802222 | + | 0.649627i | 0.940129 | − | 0.340819i | \(-0.110704\pi\) |
−0.137907 | + | 0.990445i | \(0.544038\pi\) | |||||||
\(458\) | 7.05342 | − | 33.1837i | 0.329585 | − | 1.55057i | ||||
\(459\) | 3.90987 | − | 0.831068i | 0.182497 | − | 0.0387909i | ||||
\(460\) | −0.399216 | − | 2.52055i | −0.0186135 | − | 0.117521i | ||||
\(461\) | −20.3395 | − | 5.44996i | −0.947306 | − | 0.253830i | −0.248088 | − | 0.968738i | \(-0.579802\pi\) |
−0.699219 | + | 0.714908i | \(0.746469\pi\) | |||||||
\(462\) | 15.7335 | + | 8.97038i | 0.731989 | + | 0.417340i | ||||
\(463\) | 14.1436 | − | 14.1436i | 0.657307 | − | 0.657307i | −0.297435 | − | 0.954742i | \(-0.596131\pi\) |
0.954742 | + | 0.297435i | \(0.0961313\pi\) | |||||||
\(464\) | −3.19806 | − | 0.336130i | −0.148466 | − | 0.0156044i | ||||
\(465\) | −1.99719 | + | 1.79828i | −0.0926174 | + | 0.0833931i | ||||
\(466\) | 31.2382 | − | 20.2863i | 1.44708 | − | 0.939745i | ||||
\(467\) | −4.69672 | − | 6.46448i | −0.217338 | − | 0.299141i | 0.686401 | − | 0.727223i | \(-0.259189\pi\) |
−0.903740 | + | 0.428082i | \(0.859189\pi\) | |||||||
\(468\) | −4.26293 | + | 7.08331i | −0.197054 | + | 0.327426i | ||||
\(469\) | −17.8060 | + | 5.78551i | −0.822203 | + | 0.267150i | ||||
\(470\) | 3.32811 | + | 0.174419i | 0.153514 | + | 0.00804534i | ||||
\(471\) | 19.2142 | − | 8.55470i | 0.885342 | − | 0.394180i | ||||
\(472\) | −2.65111 | − | 4.59186i | −0.122027 | − | 0.211357i | ||||
\(473\) | −0.851923 | + | 1.94171i | −0.0391715 | + | 0.0892799i | ||||
\(474\) | −9.11384 | + | 34.0133i | −0.418612 | + | 1.56228i | ||||
\(475\) | 14.6580 | − | 11.8698i | 0.672555 | − | 0.544625i | ||||
\(476\) | −10.9663 | − | 21.5226i | −0.502641 | − | 0.986488i | ||||
\(477\) | −8.42095 | + | 9.35241i | −0.385569 | + | 0.428218i | ||||
\(478\) | 19.8634 | − | 2.08773i | 0.908532 | − | 0.0954905i | ||||
\(479\) | −10.4343 | + | 12.8853i | −0.476756 | + | 0.588744i | −0.957614 | − | 0.288054i | \(-0.906992\pi\) |
0.480859 | + | 0.876798i | \(0.340325\pi\) | |||||||
\(480\) | 1.01411 | + | 3.12111i | 0.0462876 | + | 0.142459i | ||||
\(481\) | −2.77961 | + | 3.30784i | −0.126739 | + | 0.150825i | ||||
\(482\) | 10.7971 | + | 7.84454i | 0.491794 | + | 0.357309i | ||||
\(483\) | −1.87619 | − | 7.00203i | −0.0853695 | − | 0.318603i | ||||
\(484\) | 21.7048 | − | 12.8470i | 0.986581 | − | 0.583954i | ||||
\(485\) | −2.69220 | + | 1.55434i | −0.122247 | + | 0.0705791i | ||||
\(486\) | 2.04642 | − | 0.324121i | 0.0928276 | − | 0.0147024i | ||||
\(487\) | −24.2049 | − | 15.7189i | −1.09683 | − | 0.712290i | −0.136357 | − | 0.990660i | \(-0.543539\pi\) |
−0.960474 | + | 0.278370i | \(0.910206\pi\) | |||||||
\(488\) | 0.152704 | + | 2.91376i | 0.00691257 | + | 0.131900i | ||||
\(489\) | 1.96207 | − | 12.3880i | 0.0887278 | − | 0.560205i | ||||
\(490\) | 0.0183597 | − | 0.0412366i | 0.000829407 | − | 0.00186288i | ||||
\(491\) | −24.1381 | − | 5.13071i | −1.08934 | − | 0.231546i | −0.371972 | − | 0.928244i | \(-0.621318\pi\) |
−0.717364 | + | 0.696698i | \(0.754652\pi\) | |||||||
\(492\) | 0.809942 | − | 15.4546i | 0.0365150 | − | 0.696748i | ||||
\(493\) | −2.26992 | + | 3.12428i | −0.102232 | + | 0.140710i | ||||
\(494\) | 23.2555 | + | 17.5502i | 1.04632 | + | 0.789620i | ||||
\(495\) | −1.25032 | + | 0.487745i | −0.0561976 | + | 0.0219225i | ||||
\(496\) | 21.3523 | − | 5.72132i | 0.958745 | − | 0.256895i | ||||
\(497\) | −11.9126 | − | 26.7561i | −0.534352 | − | 1.20017i | ||||
\(498\) | −0.741866 | − | 3.49020i | −0.0332438 | − | 0.156400i | ||||
\(499\) | −7.42865 | + | 14.5796i | −0.332552 | + | 0.652670i | −0.995371 | − | 0.0961096i | \(-0.969360\pi\) |
0.662819 | + | 0.748780i | \(0.269360\pi\) | |||||||
\(500\) | 3.27060 | + | 8.52019i | 0.146265 | + | 0.381035i | ||||
\(501\) | 1.72640 | + | 4.49743i | 0.0771299 | + | 0.200930i | ||||
\(502\) | −16.8659 | + | 33.1011i | −0.752761 | + | 1.47738i | ||||
\(503\) | −1.03482 | − | 4.86847i | −0.0461406 | − | 0.217074i | 0.949037 | − | 0.315165i | \(-0.102060\pi\) |
−0.995177 | + | 0.0980906i | \(0.968726\pi\) | |||||||
\(504\) | −0.650543 | − | 1.46114i | −0.0289775 | − | 0.0650845i | ||||
\(505\) | −0.248406 | + | 0.0665602i | −0.0110539 | + | 0.00296189i | ||||
\(506\) | −18.2830 | − | 4.79284i | −0.812777 | − | 0.213068i | ||||
\(507\) | 12.6094 | + | 3.16288i | 0.560002 | + | 0.140469i | ||||
\(508\) | −13.4621 | + | 18.5290i | −0.597285 | + | 0.822092i | ||||
\(509\) | −1.94465 | + | 37.1061i | −0.0861950 | + | 1.64470i | 0.523473 | + | 0.852042i | \(0.324636\pi\) |
−0.609668 | + | 0.792657i | \(0.708697\pi\) | |||||||
\(510\) | 3.27809 | + | 0.696779i | 0.145156 | + | 0.0308539i | ||||
\(511\) | 13.1907 | − | 29.6269i | 0.583524 | − | 1.31062i | ||||
\(512\) | 4.85466 | − | 30.6511i | 0.214548 | − | 1.35460i | ||||
\(513\) | −0.204109 | − | 3.89464i | −0.00901165 | − | 0.171953i | ||||
\(514\) | −19.3989 | − | 12.5978i | −0.855650 | − | 0.555665i | ||||
\(515\) | −2.35831 | + | 0.373520i | −0.103920 | + | 0.0164593i | ||||
\(516\) | 1.26950 | − | 0.732946i | 0.0558866 | − | 0.0322662i | ||||
\(517\) | 5.92142 | − | 11.7789i | 0.260424 | − | 0.518034i | ||||
\(518\) | −1.69364 | − | 6.32076i | −0.0744144 | − | 0.277718i | ||||
\(519\) | 4.09963 | + | 2.97855i | 0.179954 | + | 0.130744i | ||||
\(520\) | −0.725647 | + | 0.507337i | −0.0318217 | + | 0.0222482i | ||||
\(521\) | 10.3496 | + | 31.8527i | 0.453423 | + | 1.39549i | 0.872977 | + | 0.487762i | \(0.162187\pi\) |
−0.419554 | + | 0.907730i | \(0.637813\pi\) | |||||||
\(522\) | −1.25974 | + | 1.55565i | −0.0551374 | + | 0.0680890i | ||||
\(523\) | 29.0406 | − | 3.05229i | 1.26986 | − | 0.133468i | 0.554475 | − | 0.832200i | \(-0.312919\pi\) |
0.715383 | + | 0.698733i | \(0.246252\pi\) | |||||||
\(524\) | 24.4468 | − | 27.1509i | 1.06796 | − | 1.18609i | ||||
\(525\) | 5.78667 | + | 11.3570i | 0.252551 | + | 0.495659i | ||||
\(526\) | 0.141023 | − | 0.114198i | 0.00614888 | − | 0.00497926i | ||||
\(527\) | 6.87094 | − | 25.6427i | 0.299303 | − | 1.11701i | ||||
\(528\) | 10.9847 | + | 1.09437i | 0.478049 | + | 0.0476264i | ||||
\(529\) | −7.71745 | − | 13.3670i | −0.335541 | − | 0.581174i | ||||
\(530\) | −9.63915 | + | 4.29163i | −0.418698 | + | 0.186416i | ||||
\(531\) | 8.72512 | + | 0.457264i | 0.378638 | + | 0.0198436i | ||||
\(532\) | −22.4144 | + | 7.28287i | −0.971786 | + | 0.315752i | ||||
\(533\) | −23.6168 | + | 5.87054i | −1.02296 | + | 0.254281i | ||||
\(534\) | −21.0030 | − | 28.9082i | −0.908891 | − | 1.25098i | ||||
\(535\) | −5.26283 | + | 3.41772i | −0.227532 | + | 0.147761i | ||||
\(536\) | 3.20369 | − | 2.88462i | 0.138378 | − | 0.124596i | ||||
\(537\) | 20.2417 | + | 2.12749i | 0.873495 | + | 0.0918080i | ||||
\(538\) | −9.28616 | + | 9.28616i | −0.400355 | + | 0.400355i | ||||
\(539\) | −0.120199 | − | 0.132048i | −0.00517734 | − | 0.00568772i | ||||
\(540\) | 0.896214 | + | 0.240140i | 0.0385669 | + | 0.0103340i | ||||
\(541\) | −0.978054 | − | 6.17519i | −0.0420498 | − | 0.265492i | 0.957702 | − | 0.287761i | \(-0.0929109\pi\) |
−0.999752 | + | 0.0222691i | \(0.992911\pi\) | |||||||
\(542\) | −23.2902 | + | 4.95048i | −1.00040 | + | 0.212641i | ||||
\(543\) | 1.62609 | − | 7.65016i | 0.0697823 | − | 0.328300i | ||||
\(544\) | −25.1930 | − | 20.4009i | −1.08014 | − | 0.874680i | ||||
\(545\) | −1.21430 | + | 0.882238i | −0.0520148 | + | 0.0377909i | ||||
\(546\) | −14.8685 | + | 12.9065i | −0.636313 | + | 0.552346i | ||||
\(547\) | 12.2631 | + | 3.98453i | 0.524333 | + | 0.170366i | 0.559211 | − | 0.829025i | \(-0.311104\pi\) |
−0.0348778 | + | 0.999392i | \(0.511104\pi\) | |||||||
\(548\) | 20.0681 | + | 7.70344i | 0.857268 | + | 0.329074i | ||||
\(549\) | −4.16380 | − | 2.40397i | −0.177706 | − | 0.102599i | ||||
\(550\) | 33.1973 | + | 1.55940i | 1.41554 | + | 0.0664929i | ||||
\(551\) | 2.66430 | + | 2.66430i | 0.113503 | + | 0.113503i | ||||
\(552\) | 1.05044 | + | 1.29718i | 0.0447095 | + | 0.0552117i | ||||
\(553\) | −24.3956 | + | 37.5659i | −1.03741 | + | 1.59746i | ||||
\(554\) | 47.1778 | + | 24.0383i | 2.00439 | + | 1.02129i | ||||
\(555\) | 0.442988 | + | 0.197231i | 0.0188038 | + | 0.00837198i | ||||
\(556\) | −0.899428 | − | 8.55749i | −0.0381442 | − | 0.362918i | ||||
\(557\) | 5.87514 | + | 9.04693i | 0.248938 | + | 0.383331i | 0.940945 | − | 0.338560i | \(-0.109940\pi\) |
−0.692007 | + | 0.721891i | \(0.743273\pi\) | |||||||
\(558\) | 4.25226 | − | 13.0871i | 0.180013 | − | 0.554022i | ||||
\(559\) | −1.68473 | − | 1.57327i | −0.0712563 | − | 0.0665421i | ||||
\(560\) | 3.54971i | 0.150003i | ||||||||
\(561\) | 7.73417 | − | 10.7674i | 0.326537 | − | 0.454601i | ||||
\(562\) | 13.8373 | − | 23.9668i | 0.583689 | − | 1.01098i | ||||
\(563\) | 1.62780 | − | 15.4874i | 0.0686034 | − | 0.652718i | −0.905147 | − | 0.425099i | \(-0.860239\pi\) |
0.973750 | − | 0.227619i | \(-0.0730940\pi\) | |||||||
\(564\) | −8.12082 | + | 4.13777i | −0.341948 | + | 0.174231i | ||||
\(565\) | −1.53078 | + | 0.0802247i | −0.0644004 | + | 0.00337508i | ||||
\(566\) | 3.49375 | − | 1.34113i | 0.146853 | − | 0.0563717i | ||||
\(567\) | 2.60311 | + | 0.412292i | 0.109320 | + | 0.0173146i | ||||
\(568\) | 5.01168 | + | 4.51254i | 0.210285 | + | 0.189342i | ||||
\(569\) | −6.58284 | − | 7.31099i | −0.275967 | − | 0.306493i | 0.589189 | − | 0.807995i | \(-0.299447\pi\) |
−0.865156 | + | 0.501503i | \(0.832781\pi\) | |||||||
\(570\) | 1.17179 | − | 3.05262i | 0.0490810 | − | 0.127860i | ||||
\(571\) | −3.79381 | −0.158766 | −0.0793830 | − | 0.996844i | \(-0.525295\pi\) | ||||
−0.0793830 | + | 0.996844i | \(0.525295\pi\) | |||||||
\(572\) | 5.35855 | + | 26.8904i | 0.224052 | + | 1.12434i | ||||
\(573\) | −0.0559243 | −0.00233627 | ||||||||
\(574\) | 13.2083 | − | 34.4087i | 0.551303 | − | 1.43619i | ||||
\(575\) | −8.90077 | − | 9.88531i | −0.371188 | − | 0.412246i | ||||
\(576\) | −7.54030 | − | 6.78932i | −0.314179 | − | 0.282888i | ||||
\(577\) | 34.4480 | + | 5.45603i | 1.43409 | + | 0.227137i | 0.824627 | − | 0.565677i | \(-0.191385\pi\) |
0.609463 | + | 0.792815i | \(0.291385\pi\) | |||||||
\(578\) | 1.97740 | − | 0.759053i | 0.0822490 | − | 0.0315724i | ||||
\(579\) | −18.2019 | + | 0.953923i | −0.756447 | + | 0.0396437i | ||||
\(580\) | −0.798699 | + | 0.406957i | −0.0331642 | + | 0.0168980i | ||||
\(581\) | 0.474437 | − | 4.51396i | 0.0196829 | − | 0.187271i | ||||
\(582\) | 7.95865 | − | 13.7848i | 0.329897 | − | 0.571398i | ||||
\(583\) | 0.226258 | + | 41.7388i | 0.00937065 | + | 1.72865i | ||||
\(584\) | 7.46747i | 0.309006i | ||||||||
\(585\) | −0.0498837 | − | 1.45815i | −0.00206244 | − | 0.0602869i | ||||
\(586\) | −7.06771 | + | 21.7522i | −0.291964 | + | 0.898574i | ||||
\(587\) | −17.4600 | − | 26.8860i | −0.720651 | − | 1.10970i | −0.989219 | − | 0.146444i | \(-0.953217\pi\) |
0.268568 | − | 0.963261i | \(-0.413450\pi\) | |||||||
\(588\) | 0.0129037 | + | 0.122770i | 0.000532138 | + | 0.00506296i | ||||
\(589\) | −23.6622 | − | 10.5351i | −0.974985 | − | 0.434091i | ||||
\(590\) | 6.52689 | + | 3.32562i | 0.268708 | + | 0.136914i | ||||
\(591\) | −9.47262 | + | 14.5866i | −0.389651 | + | 0.600011i | ||||
\(592\) | −2.51008 | − | 3.09969i | −0.103164 | − | 0.127397i | ||||
\(593\) | −10.0502 | − | 10.0502i | −0.412713 | − | 0.412713i | 0.469970 | − | 0.882683i | \(-0.344265\pi\) |
−0.882683 | + | 0.469970i | \(0.844265\pi\) | |||||||
\(594\) | 4.29556 | − | 5.36377i | 0.176249 | − | 0.220078i | ||||
\(595\) | 3.69185 | + | 2.13149i | 0.151351 | + | 0.0873826i | ||||
\(596\) | −30.3196 | − | 11.6386i | −1.24194 | − | 0.476736i | ||||
\(597\) | 15.2025 | + | 4.93959i | 0.622197 | + | 0.202164i | ||||
\(598\) | 11.5020 | − | 17.0263i | 0.470351 | − | 0.696258i | ||||
\(599\) | −13.2921 | + | 9.65727i | −0.543100 | + | 0.394585i | −0.825235 | − | 0.564789i | \(-0.808957\pi\) |
0.282135 | + | 0.959375i | \(0.408957\pi\) | |||||||
\(600\) | −2.28088 | − | 1.84702i | −0.0931165 | − | 0.0754043i | ||||
\(601\) | −9.35587 | + | 44.0159i | −0.381634 | + | 1.79545i | 0.197597 | + | 0.980283i | \(0.436686\pi\) |
−0.579231 | + | 0.815163i | \(0.696647\pi\) | |||||||
\(602\) | 3.41483 | − | 0.725845i | 0.139178 | − | 0.0295832i | ||||
\(603\) | 1.11127 | + | 7.01628i | 0.0452544 | + | 0.285725i | ||||
\(604\) | −40.0264 | − | 10.7251i | −1.62865 | − | 0.436396i | ||||
\(605\) | −1.97768 | + | 3.98771i | −0.0804042 | + | 0.162124i | ||||
\(606\) | 0.931098 | − | 0.931098i | 0.0378233 | − | 0.0378233i | ||||
\(607\) | 30.9589 | + | 3.25391i | 1.25658 | + | 0.132072i | 0.709319 | − | 0.704888i | \(-0.249003\pi\) |
0.547264 | + | 0.836960i | \(0.315669\pi\) | |||||||
\(608\) | −23.5048 | + | 21.1638i | −0.953244 | + | 0.858305i | ||||
\(609\) | −2.13549 | + | 1.38681i | −0.0865346 | + | 0.0561962i | ||||
\(610\) | −2.36939 | − | 3.26118i | −0.0959337 | − | 0.132041i | ||||
\(611\) | 9.94851 | + | 10.3166i | 0.402474 | + | 0.417366i | ||||
\(612\) | −8.71663 | + | 2.83220i | −0.352349 | + | 0.114485i | ||||
\(613\) | −26.3532 | − | 1.38111i | −1.06439 | − | 0.0557826i | −0.487913 | − | 0.872892i | \(-0.662242\pi\) |
−0.576482 | + | 0.817110i | \(0.695575\pi\) | |||||||
\(614\) | −54.5090 | + | 24.2690i | −2.19980 | + | 0.979416i | ||||
\(615\) | 1.36560 | + | 2.36528i | 0.0550662 | + | 0.0953774i | ||||
\(616\) | −4.85769 | − | 2.13131i | −0.195722 | − | 0.0858728i | ||||
\(617\) | −2.55329 | + | 9.52901i | −0.102792 | + | 0.383623i | −0.998085 | − | 0.0618530i | \(-0.980299\pi\) |
0.895294 | + | 0.445476i | \(0.146966\pi\) | |||||||
\(618\) | 9.50114 | − | 7.69387i | 0.382192 | − | 0.309493i | ||||
\(619\) | −14.1600 | − | 27.7905i | −0.569137 | − | 1.11699i | −0.978812 | − | 0.204763i | \(-0.934358\pi\) |
0.409674 | − | 0.912232i | \(-0.365642\pi\) | |||||||
\(620\) | 4.12326 | − | 4.57935i | 0.165594 | − | 0.183911i | ||||
\(621\) | −2.73541 | + | 0.287503i | −0.109768 | + | 0.0115371i | ||||
\(622\) | −36.7142 | + | 45.3383i | −1.47211 | + | 1.81790i | ||||
\(623\) | −14.0457 | − | 43.2282i | −0.562729 | − | 1.73190i | ||||
\(624\) | −5.07946 | + | 10.8728i | −0.203341 | + | 0.435260i | ||||
\(625\) | 18.2600 | + | 13.2667i | 0.730401 | + | 0.530668i | ||||
\(626\) | −8.55529 | − | 31.9288i | −0.341938 | − | 1.27613i | ||||
\(627\) | −9.19572 | − | 9.09656i | −0.367242 | − | 0.363282i | ||||
\(628\) | −41.7644 | + | 24.1127i | −1.66658 | + | 0.962202i | ||||
\(629\) | −4.73103 | + | 0.749321i | −0.188638 | + | 0.0298774i | ||||
\(630\) | 1.85320 | + | 1.20348i | 0.0738333 | + | 0.0479479i | ||||
\(631\) | 0.420647 | + | 8.02642i | 0.0167457 | + | 0.319527i | 0.994140 | + | 0.108101i | \(0.0344771\pi\) |
−0.977394 | + | 0.211425i | \(0.932190\pi\) | |||||||
\(632\) | 1.61344 | − | 10.1869i | 0.0641792 | − | 0.405211i | ||||
\(633\) | −1.67646 | + | 3.76539i | −0.0666332 | + | 0.149661i | ||||
\(634\) | 38.8567 | + | 8.25925i | 1.54320 | + | 0.328017i | ||||
\(635\) | 0.211540 | − | 4.03643i | 0.00839472 | − | 0.160181i | ||||
\(636\) | 16.9611 | − | 23.3449i | 0.672550 | − | 0.925686i | ||||
\(637\) | 0.178740 | − | 0.0757211i | 0.00708194 | − | 0.00300018i | ||||
\(638\) | 0.383395 | + | 6.62797i | 0.0151788 | + | 0.262404i | ||||
\(639\) | −10.7340 | + | 2.87618i | −0.424632 | + | 0.113780i | ||||
\(640\) | −0.790487 | − | 1.77546i | −0.0312467 | − | 0.0701813i | ||||
\(641\) | −2.00874 | − | 9.45039i | −0.0793406 | − | 0.373268i | 0.920507 | − | 0.390726i | \(-0.127776\pi\) |
−0.999848 | + | 0.0174579i | \(0.994443\pi\) | |||||||
\(642\) | 14.5870 | − | 28.6287i | 0.575704 | − | 1.12988i | ||||
\(643\) | 10.6337 | + | 27.7018i | 0.419353 | + | 1.09245i | 0.966783 | + | 0.255600i | \(0.0822730\pi\) |
−0.547430 | + | 0.836852i | \(0.684394\pi\) | |||||||
\(644\) | 5.95653 | + | 15.5173i | 0.234720 | + | 0.611467i | ||||
\(645\) | −0.117449 | + | 0.230506i | −0.00462453 | + | 0.00907615i | ||||
\(646\) | 6.71544 | + | 31.5937i | 0.264216 | + | 1.24304i | ||||
\(647\) | −12.0623 | − | 27.0924i | −0.474219 | − | 1.06511i | −0.979369 | − | 0.202082i | \(-0.935229\pi\) |
0.505149 | − | 0.863032i | \(-0.331437\pi\) | |||||||
\(648\) | −0.586184 | + | 0.157068i | −0.0230275 | + | 0.00617020i | ||||
\(649\) | 22.4207 | − | 18.3580i | 0.880089 | − | 0.720616i | ||||
\(650\) | −13.5579 | + | 33.4886i | −0.531786 | + | 1.31353i | ||||
\(651\) | 10.2885 | − | 14.1610i | 0.403240 | − | 0.555012i | ||||
\(652\) | −1.50510 | + | 28.7191i | −0.0589444 | + | 1.12473i | ||||
\(653\) | 3.07218 | + | 0.653011i | 0.120224 | + | 0.0255543i | 0.267631 | − | 0.963522i | \(-0.413759\pi\) |
−0.147407 | + | 0.989076i | \(0.547093\pi\) | |||||||
\(654\) | 3.12588 | − | 7.02085i | 0.122232 | − | 0.274537i | ||||
\(655\) | −1.00865 | + | 6.36839i | −0.0394114 | + | 0.248834i | ||||
\(656\) | −1.17573 | − | 22.4342i | −0.0459045 | − | 0.875910i | ||||
\(657\) | −10.3199 | − | 6.70181i | −0.402617 | − | 0.261463i | ||||
\(658\) | −21.4389 | + | 3.39559i | −0.835775 | + | 0.132374i | ||||
\(659\) | 7.13745 | − | 4.12081i | 0.278035 | − | 0.160524i | −0.354498 | − | 0.935057i | \(-0.615348\pi\) |
0.632534 | + | 0.774533i | \(0.282015\pi\) | |||||||
\(660\) | 2.73425 | − | 1.41189i | 0.106430 | − | 0.0549577i | ||||
\(661\) | 7.37589 | + | 27.5272i | 0.286889 | + | 1.07068i | 0.947448 | + | 0.319910i | \(0.103653\pi\) |
−0.660559 | + | 0.750774i | \(0.729681\pi\) | |||||||
\(662\) | 18.6364 | + | 13.5401i | 0.724323 | + | 0.526251i | ||||
\(663\) | 8.25810 | + | 11.8116i | 0.320718 | + | 0.458725i | ||||
\(664\) | 0.322957 | + | 0.993958i | 0.0125331 | + | 0.0385730i | ||||
\(665\) | 2.61752 | − | 3.23237i | 0.101503 | − | 0.125346i | ||||
\(666\) | −2.46926 | + | 0.259530i | −0.0956821 | + | 0.0100566i | ||||
\(667\) | 1.77809 | − | 1.97476i | 0.0688478 | − | 0.0764632i | ||||
\(668\) | −5.01469 | − | 9.84188i | −0.194024 | − | 0.380794i | ||||
\(669\) | −9.44762 | + | 7.65053i | −0.365266 | + | 0.295787i | ||||
\(670\) | −1.54149 | + | 5.75293i | −0.0595531 | + | 0.222255i | ||||
\(671\) | −15.5795 | + | 3.39989i | −0.601439 | + | 0.131251i | ||||
\(672\) | −10.6872 | − | 18.5107i | −0.412266 | − | 0.714065i | ||||
\(673\) | 41.8111 | − | 18.6155i | 1.61170 | − | 0.717574i | 0.614259 | − | 0.789104i | \(-0.289455\pi\) |
0.997438 | + | 0.0715301i | \(0.0227882\pi\) | |||||||
\(674\) | −48.7820 | − | 2.55655i | −1.87901 | − | 0.0984748i | ||||
\(675\) | 4.59955 | − | 1.49449i | 0.177037 | − | 0.0575228i | ||||
\(676\) | −29.5117 | − | 4.19031i | −1.13506 | − | 0.161166i | ||||
\(677\) | −22.5429 | − | 31.0277i | −0.866395 | − | 1.19249i | −0.980007 | − | 0.198965i | \(-0.936242\pi\) |
0.113611 | − | 0.993525i | \(-0.463758\pi\) | |||||||
\(678\) | 6.58251 | − | 4.27473i | 0.252800 | − | 0.164170i | ||||
\(679\) | 15.0467 | − | 13.5481i | 0.577438 | − | 0.519927i | ||||
\(680\) | −0.976215 | − | 0.102604i | −0.0374361 | − | 0.00393470i | ||||
\(681\) | 9.09671 | − | 9.09671i | 0.348587 | − | 0.348587i | ||||
\(682\) | −18.7887 | − | 41.5919i | −0.719456 | − | 1.59263i | ||||
\(683\) | −19.5959 | − | 5.25069i | −0.749814 | − | 0.200912i | −0.136379 | − | 0.990657i | \(-0.543546\pi\) |
−0.613436 | + | 0.789745i | \(0.710213\pi\) | |||||||
\(684\) | 1.39888 | + | 8.83217i | 0.0534875 | + | 0.337706i | ||||
\(685\) | −3.71072 | + | 0.788738i | −0.141779 | + | 0.0301361i | ||||
\(686\) | −8.00852 | + | 37.6771i | −0.305767 | + | 1.43852i | ||||
\(687\) | −12.7247 | − | 10.3043i | −0.485478 | − | 0.393133i | ||||
\(688\) | 1.72152 | − | 1.25076i | 0.0656324 | − | 0.0476848i | ||||
\(689\) | −42.8929 | − | 14.8033i | −1.63409 | − | 0.563960i | ||||
\(690\) | −2.19317 | − | 0.712604i | −0.0834926 | − | 0.0271284i | ||||
\(691\) | 22.8264 | + | 8.76224i | 0.868357 | + | 0.333331i | 0.751433 | − | 0.659810i | \(-0.229363\pi\) |
0.116925 | + | 0.993141i | \(0.462696\pi\) | |||||||
\(692\) | −10.0624 | − | 5.80953i | −0.382515 | − | 0.220845i | ||||
\(693\) | 7.30503 | − | 4.80044i | 0.277495 | − | 0.182354i | ||||
\(694\) | 14.0505 | + | 14.0505i | 0.533351 | + | 0.533351i | ||||
\(695\) | 0.955658 | + | 1.18014i | 0.0362502 | + | 0.0447652i | ||||
\(696\) | 0.319325 | − | 0.491718i | 0.0121040 | − | 0.0186385i | ||||
\(697\) | −24.0385 | − | 12.2482i | −0.910523 | − | 0.463935i | ||||
\(698\) | −0.554380 | − | 0.246826i | −0.0209836 | − | 0.00934249i | ||||
\(699\) | −1.87912 | − | 17.8786i | −0.0710747 | − | 0.676231i | ||||
\(700\) | −15.9175 | − | 24.5108i | −0.601625 | − | 0.926422i | ||||
\(701\) | −0.762068 | + | 2.34541i | −0.0287829 | + | 0.0885847i | −0.964416 | − | 0.264389i | \(-0.914830\pi\) |
0.935633 | + | 0.352974i | \(0.114830\pi\) | |||||||
\(702\) | 3.95424 | + | 6.33811i | 0.149243 | + | 0.239217i | ||||
\(703\) | 4.67349i | 0.176264i | ||||||||
\(704\) | −33.6515 | + | 0.182419i | −1.26829 | + | 0.00687516i | ||||
\(705\) | 0.804244 | − | 1.39299i | 0.0302896 | − | 0.0524631i | ||||
\(706\) | −3.87472 | + | 36.8655i | −0.145827 | + | 1.38745i | ||||
\(707\) | 1.49241 | − | 0.760421i | 0.0561279 | − | 0.0285986i | ||||
\(708\) | −20.0058 | + | 1.04846i | −0.751864 | + | 0.0394035i | ||||
\(709\) | −33.0855 | + | 12.7003i | −1.24255 | + | 0.476971i | −0.888768 | − | 0.458357i | \(-0.848438\pi\) |
−0.353783 | + | 0.935328i | \(0.615105\pi\) | |||||||
\(710\) | −9.20233 | − | 1.45751i | −0.345357 | − | 0.0546992i | ||||
\(711\) | 12.6300 | + | 11.3721i | 0.473662 | + | 0.426487i | ||||
\(712\) | 7.00309 | + | 7.77772i | 0.262452 | + | 0.291482i | ||||
\(713\) | −6.54635 | + | 17.0538i | −0.245163 | + | 0.638671i | ||||
\(714\) | −21.8276 | −0.816876 | ||||||||
\(715\) | −3.37778 | − | 3.46498i | −0.126322 | − | 0.129583i | ||||
\(716\) | −46.6678 | −1.74406 | ||||||||
\(717\) | 3.45457 | − | 8.99945i | 0.129013 | − | 0.336091i | ||||
\(718\) | 7.11481 | + | 7.90180i | 0.265523 | + | 0.294893i | ||||
\(719\) | 22.4296 | + | 20.1957i | 0.836482 | + | 0.753172i | 0.971340 | − | 0.237693i | \(-0.0763913\pi\) |
−0.134858 | + | 0.990865i | \(0.543058\pi\) | |||||||
\(720\) | 1.33027 | + | 0.210695i | 0.0495764 | + | 0.00785212i | ||||
\(721\) | 14.5185 | − | 5.57313i | 0.540698 | − | 0.207554i | ||||
\(722\) | −7.84209 | + | 0.410987i | −0.291853 | + | 0.0152953i | ||||
\(723\) | 5.73924 | − | 2.92429i | 0.213445 | − | 0.108755i | ||||
\(724\) | −1.87450 | + | 17.8347i | −0.0696652 | + | 0.662820i | ||||
\(725\) | −2.33622 | + | 4.04645i | −0.0867650 | + | 0.150281i | ||||
\(726\) | −1.43948 | − | 22.7457i | −0.0534241 | − | 0.844173i | ||||
\(727\) | 42.9243i | 1.59197i | 0.605314 | + | 0.795987i | \(0.293048\pi\) | ||||
−0.605314 | + | 0.795987i | \(0.706952\pi\) | |||||||
\(728\) | 3.93594 | − | 4.21478i | 0.145876 | − | 0.156210i | ||||
\(729\) | 0.309017 | − | 0.951057i | 0.0114451 | − | 0.0352243i | ||||
\(730\) | −5.61889 | − | 8.65233i | −0.207965 | − | 0.320237i | ||||
\(731\) | −0.267122 | − | 2.54150i | −0.00987986 | − | 0.0940006i | ||||
\(732\) | 10.0710 | + | 4.48391i | 0.372236 | + | 0.165730i | ||||
\(733\) | 7.29851 | + | 3.71878i | 0.269577 | + | 0.137356i | 0.583554 | − | 0.812074i | \(-0.301662\pi\) |
−0.313977 | + | 0.949430i | \(0.601662\pi\) | |||||||
\(734\) | 27.5611 | − | 42.4404i | 1.01730 | − | 1.56650i | ||||
\(735\) | −0.0137104 | − | 0.0169309i | −0.000505714 | − | 0.000624505i | ||||
\(736\) | 15.7729 | + | 15.7729i | 0.581397 | + | 0.581397i | ||||
\(737\) | 18.3900 | + | 14.7276i | 0.677404 | + | 0.542498i | ||||
\(738\) | −12.1109 | − | 6.99221i | −0.445807 | − | 0.257387i | ||||
\(739\) | −29.4280 | − | 11.2964i | −1.08253 | − | 0.415543i | −0.249273 | − | 0.968433i | \(-0.580192\pi\) |
−0.833254 | + | 0.552890i | \(0.813525\pi\) | |||||||
\(740\) | −1.05743 | − | 0.343580i | −0.0388720 | − | 0.0126303i | ||||
\(741\) | 12.6429 | − | 6.15523i | 0.464447 | − | 0.226118i | ||||
\(742\) | 55.5975 | − | 40.3940i | 2.04105 | − | 1.48291i | ||||
\(743\) | 18.0913 | + | 14.6500i | 0.663706 | + | 0.537458i | 0.900912 | − | 0.434001i | \(-0.142899\pi\) |
−0.237207 | + | 0.971459i | \(0.576232\pi\) | |||||||
\(744\) | −0.837976 | + | 3.94237i | −0.0307217 | + | 0.144534i | ||||
\(745\) | 5.60628 | − | 1.19165i | 0.205398 | − | 0.0436587i | ||||
\(746\) | −0.0292518 | − | 0.184689i | −0.00107099 | − | 0.00676194i | ||||
\(747\) | −1.66347 | − | 0.445725i | −0.0608632 | − | 0.0163082i | ||||
\(748\) | −15.0558 | + | 26.4070i | −0.550496 | + | 0.965537i | ||||
\(749\) | 28.9003 | − | 28.9003i | 1.05599 | − | 1.05599i | ||||
\(750\) | 8.20168 | + | 0.862031i | 0.299483 | + | 0.0314769i | ||||
\(751\) | −12.3987 | + | 11.1638i | −0.452435 | + | 0.407374i | −0.863593 | − | 0.504190i | \(-0.831791\pi\) |
0.411158 | + | 0.911564i | \(0.365124\pi\) | |||||||
\(752\) | −11.0959 | + | 7.20578i | −0.404627 | + | 0.262768i | ||||
\(753\) | 10.5391 | + | 14.5059i | 0.384068 | + | 0.528624i | ||||
\(754\) | −6.93640 | − | 1.99431i | −0.252609 | − | 0.0726285i | ||||
\(755\) | 6.95518 | − | 2.25987i | 0.253125 | − | 0.0822453i | ||||
\(756\) | −6.03478 | − | 0.316269i | −0.219483 | − | 0.0115026i | ||||
\(757\) | 44.7463 | − | 19.9223i | 1.62633 | − | 0.724090i | 0.627807 | − | 0.778369i | \(-0.283953\pi\) |
0.998526 | + | 0.0542795i | \(0.0172862\pi\) | |||||||
\(758\) | −10.9455 | − | 18.9581i | −0.397558 | − | 0.688590i | ||||
\(759\) | −6.06716 | + | 6.81217i | −0.220224 | + | 0.247266i | ||||
\(760\) | −0.247875 | + | 0.925082i | −0.00899137 | + | 0.0335563i | ||||
\(761\) | 36.4874 | − | 29.5469i | 1.32267 | − | 1.07107i | 0.330813 | − | 0.943696i | \(-0.392677\pi\) |
0.991854 | − | 0.127378i | \(-0.0406562\pi\) | |||||||
\(762\) | 9.39576 | + | 18.4402i | 0.340372 | + | 0.668019i | ||||
\(763\) | 6.54135 | − | 7.26490i | 0.236813 | − | 0.263007i | ||||
\(764\) | 0.127526 | − | 0.0134035i | 0.00461373 | − | 0.000484923i | ||||
\(765\) | 1.01792 | − | 1.25702i | 0.0368029 | − | 0.0454478i | ||||
\(766\) | −3.22797 | − | 9.93466i | −0.116631 | − | 0.358954i | ||||
\(767\) | 10.7533 | + | 29.6099i | 0.388280 | + | 1.06915i | ||||
\(768\) | −8.36669 | − | 6.07875i | −0.301907 | − | 0.219348i | ||||
\(769\) | 6.23528 | + | 23.2704i | 0.224850 | + | 0.839152i | 0.982465 | + | 0.186449i | \(0.0596981\pi\) |
−0.757615 | + | 0.652702i | \(0.773635\pi\) | |||||||
\(770\) | 7.23216 | − | 1.18568i | 0.260629 | − | 0.0427291i | ||||
\(771\) | −9.66811 | + | 5.58189i | −0.348189 | + | 0.201027i | ||||
\(772\) | 41.2779 | − | 6.53778i | 1.48562 | − | 0.235300i | ||||
\(773\) | 4.55638 | + | 2.95895i | 0.163882 | + | 0.106426i | 0.623974 | − | 0.781445i | \(-0.285517\pi\) |
−0.460092 | + | 0.887871i | \(0.652184\pi\) | |||||||
\(774\) | −0.0693255 | − | 1.32281i | −0.00249185 | − | 0.0475474i | ||||
\(775\) | 5.02463 | − | 31.7243i | 0.180490 | − | 1.13957i | ||||
\(776\) | −1.89626 | + | 4.25907i | −0.0680717 | + | 0.152892i | ||||
\(777\) | −3.08926 | − | 0.656643i | −0.110827 | − | 0.0235569i | ||||
\(778\) | −2.31682 | + | 44.2076i | −0.0830621 | + | 1.58492i | ||||
\(779\) | −15.4722 | + | 21.2956i | −0.554347 | + | 0.762994i | ||||
\(780\) | 0.463230 | + | 3.31311i | 0.0165863 | + | 0.118628i | ||||
\(781\) | −19.9057 | + | 31.0189i | −0.712283 | + | 1.10995i | ||||
\(782\) | 22.0031 | − | 5.89571i | 0.786829 | − | 0.210830i | ||||
\(783\) | 0.392959 | + | 0.882601i | 0.0140432 | + | 0.0315416i | ||||
\(784\) | 0.0372572 | + | 0.175281i | 0.00133061 | + | 0.00626005i | ||||
\(785\) | 3.86386 | − | 7.58325i | 0.137907 | − | 0.270658i | ||||
\(786\) | −11.8313 | − | 30.8215i | −0.422007 | − | 1.09937i | ||||
\(787\) | 0.500807 | + | 1.30465i | 0.0178519 | + | 0.0465057i | 0.942217 | − | 0.335004i | \(-0.108738\pi\) |
−0.924365 | + | 0.381510i | \(0.875404\pi\) | |||||||
\(788\) | 18.1048 | − | 35.5326i | 0.644955 | − | 1.26580i | ||||
\(789\) | −0.0182092 | − | 0.0856673i | −0.000648263 | − | 0.00304984i | ||||
\(790\) | 5.79564 | + | 13.0172i | 0.206200 | + | 0.463132i | ||||
\(791\) | 9.64364 | − | 2.58401i | 0.342888 | − | 0.0918767i | ||||
\(792\) | −1.08705 | + | 1.69394i | −0.0386266 | + | 0.0601915i | ||||
\(793\) | 2.12485 | − | 17.2045i | 0.0754555 | − | 0.610951i | ||||
\(794\) | 26.1119 | − | 35.9399i | 0.926675 | − | 1.27546i | ||||
\(795\) | −0.266522 | + | 5.08555i | −0.00945257 | + | 0.180366i | ||||
\(796\) | −35.8507 | − | 7.62031i | −1.27069 | − | 0.270095i | ||||
\(797\) | −3.98229 | + | 8.94438i | −0.141060 | + | 0.316826i | −0.970236 | − | 0.242162i | \(-0.922144\pi\) |
0.829176 | + | 0.558988i | \(0.188810\pi\) | |||||||
\(798\) | −3.33153 | + | 21.0344i | −0.117935 | + | 0.744610i | ||||
\(799\) | 0.831557 | + | 15.8671i | 0.0294184 | + | 0.561336i | ||||
\(800\) | −32.8943 | − | 21.3618i | −1.16299 | − | 0.755253i | ||||
\(801\) | −17.0337 | + | 2.69787i | −0.601855 | + | 0.0953245i | ||||
\(802\) | 46.1707 | − | 26.6567i | 1.63035 | − | 0.941280i | ||||
\(803\) | −40.2736 | + | 6.60269i | −1.42122 | + | 0.233004i | ||||
\(804\) | −4.21568 | − | 15.7331i | −0.148676 | − | 0.554865i | ||||
\(805\) | −2.37313 | − | 1.72418i | −0.0836417 | − | 0.0607693i | ||||
\(806\) | 49.4288 | − | 4.28912i | 1.74106 | − | 0.151078i | ||||
\(807\) | 1.95866 | + | 6.02812i | 0.0689479 | + | 0.212200i | ||||
\(808\) | −0.242715 | + | 0.299729i | −0.00853870 | + | 0.0105444i | ||||
\(809\) | 39.7907 | − | 4.18217i | 1.39897 | − | 0.147037i | 0.625178 | − | 0.780482i | \(-0.285026\pi\) |
0.773788 | + | 0.633445i | \(0.218360\pi\) | |||||||
\(810\) | 0.561008 | − | 0.623063i | 0.0197118 | − | 0.0218922i | ||||
\(811\) | −14.3415 | − | 28.1467i | −0.503597 | − | 0.988365i | −0.993200 | − | 0.116420i | \(-0.962858\pi\) |
0.489603 | − | 0.871946i | \(-0.337142\pi\) | |||||||
\(812\) | 4.53726 | − | 3.67420i | 0.159227 | − | 0.128939i | ||||
\(813\) | −2.97433 | + | 11.1004i | −0.104314 | + | 0.389306i | ||||
\(814\) | −5.47686 | + | 6.14938i | −0.191964 | + | 0.215536i | ||||
\(815\) | −2.53767 | − | 4.39537i | −0.0888906 | − | 0.153963i | ||||
\(816\) | −12.1542 | + | 5.41139i | −0.425481 | + | 0.189436i | ||||
\(817\) | −2.48992 | − | 0.130491i | −0.0871112 | − | 0.00456530i | ||||
\(818\) | 63.0425 | − | 20.4837i | 2.20423 | − | 0.716197i | ||||
\(819\) | 2.29235 | + | 9.22200i | 0.0801013 | + | 0.322243i | ||||
\(820\) | −3.68091 | − | 5.06634i | −0.128543 | − | 0.176924i | ||||
\(821\) | 25.1035 | − | 16.3024i | 0.876119 | − | 0.568958i | −0.0263791 | − | 0.999652i | \(-0.508398\pi\) |
0.902498 | + | 0.430694i | \(0.141731\pi\) | |||||||
\(822\) | 14.4351 | − | 12.9974i | 0.503482 | − | 0.453337i | ||||
\(823\) | 41.6596 | + | 4.37860i | 1.45216 | + | 0.152628i | 0.797512 | − | 0.603304i | \(-0.206149\pi\) |
0.654650 | + | 0.755932i | \(0.272816\pi\) | |||||||
\(824\) | −2.53206 | + | 2.53206i | −0.0882084 | + | 0.0882084i | ||||
\(825\) | 7.94460 | − | 13.9344i | 0.276596 | − | 0.485132i | ||||
\(826\) | −46.0849 | − | 12.3484i | −1.60350 | − | 0.429656i | ||||
\(827\) | 7.25633 | + | 45.8146i | 0.252327 | + | 1.59313i | 0.710126 | + | 0.704075i | \(0.248638\pi\) |
−0.457798 | + | 0.889056i | \(0.651362\pi\) | |||||||
\(828\) | 6.16874 | − | 1.31121i | 0.214379 | − | 0.0455676i | ||||
\(829\) | −5.89865 | + | 27.7510i | −0.204869 | + | 0.963831i | 0.748759 | + | 0.662842i | \(0.230650\pi\) |
−0.953628 | + | 0.300989i | \(0.902683\pi\) | |||||||
\(830\) | −1.12210 | − | 0.908660i | −0.0389487 | − | 0.0315401i | ||||
\(831\) | 20.6747 | − | 15.0210i | 0.717197 | − | 0.521074i | ||||
\(832\) | 11.9350 | − | 34.5820i | 0.413772 | − | 1.19892i | ||||
\(833\) | 0.204672 | + | 0.0665018i | 0.00709145 | + | 0.00230415i | ||||
\(834\) | −7.25896 | − | 2.78645i | −0.251357 | − | 0.0964870i | ||||
\(835\) | 1.68821 | + | 0.974688i | 0.0584229 | + | 0.0337305i | ||||
\(836\) | 23.1495 | + | 18.5393i | 0.800644 | + | 0.641194i | ||||
\(837\) | −4.69621 | − | 4.69621i | −0.162325 | − | 0.162325i | ||||
\(838\) | −21.2661 | − | 26.2615i | −0.734625 | − | 0.907187i | ||||
\(839\) | −24.1948 | + | 37.2568i | −0.835299 | + | 1.28625i | 0.120644 | + | 0.992696i | \(0.461504\pi\) |
−0.955943 | + | 0.293552i | \(0.905163\pi\) | |||||||
\(840\) | −0.576670 | − | 0.293828i | −0.0198970 | − | 0.0101380i | ||||
\(841\) | 25.6401 | + | 11.4157i | 0.884142 | + | 0.393645i | ||||
\(842\) | −6.34702 | − | 60.3879i | −0.218733 | − | 2.08110i | ||||
\(843\) | −7.27467 | − | 11.2020i | −0.250553 | − | 0.385818i | ||||
\(844\) | 2.92043 | − | 8.98815i | 0.100525 | − | 0.309385i | ||||
\(845\) | 4.77078 | − | 2.21641i | 0.164120 | − | 0.0762469i | ||||
\(846\) | 8.23588i | 0.283155i | ||||||||
\(847\) | 7.19942 | − | 28.0830i | 0.247375 | − | 0.964943i | ||||
\(848\) | 20.9439 | − | 36.2759i | 0.719217 | − | 1.24572i | ||||
\(849\) | 0.188799 | − | 1.79630i | 0.00647956 | − | 0.0616489i | ||||
\(850\) | −35.6881 | + | 18.1840i | −1.22409 | + | 0.623705i | ||||
\(851\) | 3.29147 | − | 0.172499i | 0.112830 | − | 0.00591318i | ||||
\(852\) | 23.7879 | − | 9.13131i | 0.814959 | − | 0.312834i | ||||
\(853\) | −21.7399 | − | 3.44327i | −0.744361 | − | 0.117895i | −0.227277 | − | 0.973830i | \(-0.572982\pi\) |
−0.517084 | + | 0.855935i | \(0.672982\pi\) | |||||||
\(854\) | 19.5110 | + | 17.5678i | 0.667653 | + | 0.601158i | ||||
\(855\) | −1.05598 | − | 1.17279i | −0.0361139 | − | 0.0401085i | ||||
\(856\) | −3.37260 | + | 8.78592i | −0.115273 | + | 0.300297i | ||||
\(857\) | −1.89997 | −0.0649016 | −0.0324508 | − | 0.999473i | \(-0.510331\pi\) | ||||
−0.0324508 | + | 0.999473i | \(0.510331\pi\) | |||||||
\(858\) | 23.8488 | + | 6.71710i | 0.814184 | + | 0.229318i | ||||
\(859\) | −37.5401 | −1.28085 | −0.640425 | − | 0.768020i | \(-0.721242\pi\) | ||||
−0.640425 | + | 0.768020i | \(0.721242\pi\) | |||||||
\(860\) | 0.212576 | − | 0.553780i | 0.00724879 | − | 0.0188837i | ||||
\(861\) | −11.9029 | − | 13.2195i | −0.405649 | − | 0.450519i | ||||
\(862\) | 44.1431 | + | 39.7466i | 1.50352 | + | 1.35378i | ||||
\(863\) | 38.0060 | + | 6.01955i | 1.29374 | + | 0.204908i | 0.765084 | − | 0.643930i | \(-0.222697\pi\) |
0.528653 | + | 0.848838i | \(0.322697\pi\) | |||||||
\(864\) | −7.57131 | + | 2.90636i | −0.257581 | + | 0.0988762i | ||||
\(865\) | 2.04774 | − | 0.107317i | 0.0696252 | − | 0.00364890i | ||||
\(866\) | 5.46209 | − | 2.78307i | 0.185609 | − | 0.0945726i | ||||
\(867\) | 0.106857 | − | 1.01667i | 0.00362905 | − | 0.0345281i | ||||
\(868\) | −20.0673 | + | 34.7576i | −0.681129 | + | 1.17975i | ||||
\(869\) | 56.3663 | − | 0.305551i | 1.91210 | − | 0.0103651i | ||||
\(870\) | 0.810015i | 0.0274621i | ||||||||
\(871\) | −21.7306 | + | 13.5573i | −0.736313 | + | 0.459373i | ||||
\(872\) | −0.695596 | + | 2.14082i | −0.0235558 | + | 0.0724974i | ||||
\(873\) | −4.18411 | − | 6.44296i | −0.141611 | − | 0.218061i | ||||
\(874\) | −2.32317 | − | 22.1034i | −0.0785823 | − | 0.747660i | ||||
\(875\) | 9.58331 | + | 4.26677i | 0.323975 | + | 0.144243i | ||||
\(876\) | 25.1390 | + | 12.8090i | 0.849370 | + | 0.432775i | ||||
\(877\) | 4.79973 | − | 7.39093i | 0.162075 | − | 0.249574i | −0.748297 | − | 0.663363i | \(-0.769128\pi\) |
0.910373 | + | 0.413789i | \(0.135795\pi\) | |||||||
\(878\) | 17.8503 | + | 22.0433i | 0.602418 | + | 0.743924i | ||||
\(879\) | 7.80560 | + | 7.80560i | 0.263276 | + | 0.263276i | ||||
\(880\) | 3.73311 | − | 2.45318i | 0.125843 | − | 0.0826968i | ||||
\(881\) | 19.0478 | + | 10.9973i | 0.641738 | + | 0.370508i | 0.785284 | − | 0.619136i | \(-0.212517\pi\) |
−0.143546 | + | 0.989644i | \(0.545850\pi\) | |||||||
\(882\) | 0.104141 | + | 0.0399759i | 0.00350660 | + | 0.00134606i | ||||
\(883\) | 50.7527 | + | 16.4905i | 1.70796 | + | 0.554951i | 0.989992 | − | 0.141122i | \(-0.0450709\pi\) |
0.717971 | + | 0.696073i | \(0.245071\pi\) | |||||||
\(884\) | −21.6622 | − | 24.9552i | −0.728578 | − | 0.839335i | ||||
\(885\) | 2.86028 | − | 2.07811i | 0.0961472 | − | 0.0698550i | ||||
\(886\) | −57.0892 | − | 46.2300i | −1.91795 | − | 1.55313i | ||||
\(887\) | −9.85061 | + | 46.3435i | −0.330751 | + | 1.55606i | 0.427449 | + | 0.904039i | \(0.359412\pi\) |
−0.758200 | + | 0.652022i | \(0.773921\pi\) | |||||||
\(888\) | 0.711333 | − | 0.151198i | 0.0238708 | − | 0.00507389i | ||||
\(889\) | 4.11827 | + | 26.0017i | 0.138122 | + | 0.872070i | ||||
\(890\) | −13.9666 | − | 3.74234i | −0.468161 | − | 0.125443i | ||||
\(891\) | −1.36540 | − | 3.02253i | −0.0457425 | − | 0.101259i | ||||
\(892\) | 19.7101 | − | 19.7101i | 0.659944 | − | 0.659944i | ||||
\(893\) | 15.4174 | + | 1.62044i | 0.515924 | + | 0.0542258i | ||||
\(894\) | −21.8090 | + | 19.6369i | −0.729402 | + | 0.656757i | ||||
\(895\) | 6.90729 | − | 4.48565i | 0.230885 | − | 0.149939i | ||||
\(896\) | 7.44028 | + | 10.2407i | 0.248562 | + | 0.342117i | ||||
\(897\) | −4.80169 | − | 8.67699i | −0.160324 | − | 0.289716i | ||||
\(898\) | 19.1801 | − | 6.23200i | 0.640049 | − | 0.207965i | ||||
\(899\) | 6.40769 | + | 0.335813i | 0.213708 | + | 0.0112000i | ||||
\(900\) | −10.1303 | + | 4.51032i | −0.337678 | + | 0.150344i | ||||
\(901\) | −25.1523 | − | 43.5651i | −0.837945 | − | 1.45136i | ||||
\(902\) | −45.3146 | + | 9.88895i | −1.50881 | + | 0.329266i | ||||
\(903\) | 0.436100 | − | 1.62755i | 0.0145125 | − | 0.0541614i | ||||
\(904\) | −1.78656 | + | 1.44673i | −0.0594201 | + | 0.0481175i | ||||
\(905\) | −1.43680 | − | 2.81988i | −0.0477608 | − | 0.0937359i | ||||
\(906\) | −25.0556 | + | 27.8271i | −0.832417 | + | 0.924492i | ||||
\(907\) | −31.1293 | + | 3.27183i | −1.03363 | + | 0.108639i | −0.606123 | − | 0.795371i | \(-0.707276\pi\) |
−0.427510 | + | 0.904010i | \(0.640609\pi\) | |||||||
\(908\) | −18.5633 | + | 22.9238i | −0.616045 | + | 0.760753i | ||||
\(909\) | −0.196389 | − | 0.604424i | −0.00651382 | − | 0.0200475i | ||||
\(910\) | −1.38905 | + | 7.84512i | −0.0460465 | + | 0.260063i | ||||
\(911\) | 18.5744 | + | 13.4951i | 0.615397 | + | 0.447112i | 0.851311 | − | 0.524662i | \(-0.175808\pi\) |
−0.235914 | + | 0.971774i | \(0.575808\pi\) | |||||||
\(912\) | 3.35967 | + | 12.5385i | 0.111250 | + | 0.415190i | ||||
\(913\) | −5.07506 | + | 2.62062i | −0.167960 | + | 0.0867299i | ||||
\(914\) | −39.5964 | + | 22.8610i | −1.30973 | + | 0.756175i | ||||
\(915\) | −1.92160 | + | 0.304351i | −0.0635260 | + | 0.0100615i | ||||
\(916\) | 31.4863 | + | 20.4474i | 1.04034 | + | 0.675603i | ||||
\(917\) | −2.19786 | − | 41.9376i | −0.0725796 | − | 1.38490i | ||||
\(918\) | −1.29558 | + | 8.17999i | −0.0427606 | + | 0.269980i | ||||
\(919\) | 13.4952 | − | 30.3108i | 0.445167 | − | 0.999861i | −0.542031 | − | 0.840359i | \(-0.682344\pi\) |
0.987198 | − | 0.159503i | \(-0.0509890\pi\) | |||||||
\(920\) | 0.660671 | + | 0.140430i | 0.0217817 | + | 0.00462984i | ||||
\(921\) | −1.50717 | + | 28.7586i | −0.0496630 | + | 0.947627i | ||||
\(922\) | 25.6443 | − | 35.2964i | 0.844551 | − | 1.16242i | ||||
\(923\) | −24.6455 | − | 31.5910i | −0.811218 | − | 1.03983i | ||||
\(924\) | −15.5074 | + | 12.6974i | −0.510156 | + | 0.417715i | ||||
\(925\) | −5.59798 | + | 1.49997i | −0.184060 | + | 0.0493188i | ||||
\(926\) | 16.8563 | + | 37.8598i | 0.553932 | + | 1.24415i | ||||
\(927\) | −1.22681 | − | 5.77168i | −0.0402937 | − | 0.189567i | ||||
\(928\) | 3.55714 | − | 6.98127i | 0.116769 | − | 0.229172i | ||||
\(929\) | 9.06713 | + | 23.6207i | 0.297483 | + | 0.774969i | 0.998111 | + | 0.0614422i | \(0.0195700\pi\) |
−0.700628 | + | 0.713527i | \(0.747097\pi\) | |||||||
\(930\) | −1.99549 | − | 5.19844i | −0.0654348 | − | 0.170463i | ||||
\(931\) | 0.0953243 | − | 0.187084i | 0.00312413 | − | 0.00613144i | ||||
\(932\) | 8.57003 | + | 40.3188i | 0.280721 | + | 1.32069i | ||||
\(933\) | 11.4525 | + | 25.7228i | 0.374938 | + | 0.842125i | ||||
\(934\) | 15.9917 | − | 4.28497i | 0.523265 | − | 0.140208i | ||||
\(935\) | −0.309797 | − | 5.35564i | −0.0101315 | − | 0.175148i | ||||
\(936\) | −1.34589 | − | 1.72518i | −0.0439918 | − | 0.0563893i | ||||
\(937\) | −15.8326 | + | 21.7917i | −0.517229 | + | 0.711905i | −0.985117 | − | 0.171883i | \(-0.945015\pi\) |
0.467888 | + | 0.883788i | \(0.345015\pi\) | |||||||
\(938\) | 2.03018 | − | 38.7382i | 0.0662877 | − | 1.26485i | ||||
\(939\) | −15.6051 | − | 3.31698i | −0.509255 | − | 0.108245i | ||||
\(940\) | −1.50008 | + | 3.36924i | −0.0489274 | + | 0.109893i | ||||
\(941\) | 2.33896 | − | 14.7676i | 0.0762479 | − | 0.481411i | −0.919785 | − | 0.392423i | \(-0.871637\pi\) |
0.996033 | − | 0.0889874i | \(-0.0283631\pi\) | |||||||
\(942\) | 2.28069 | + | 43.5182i | 0.0743090 | + | 1.41790i | ||||
\(943\) | 15.5693 | + | 10.1108i | 0.507005 | + | 0.329253i | ||||
\(944\) | −28.7227 | + | 4.54922i | −0.934843 | + | 0.148065i | ||||
\(945\) | 0.923605 | − | 0.533244i | 0.0300449 | − | 0.0173464i | ||||
\(946\) | −3.12331 | − | 3.08963i | −0.101548 | − | 0.100453i | ||||
\(947\) | 7.58312 | + | 28.3006i | 0.246418 | + | 0.919645i | 0.972665 | + | 0.232212i | \(0.0745962\pi\) |
−0.726247 | + | 0.687434i | \(0.758737\pi\) | |||||||
\(948\) | −31.5262 | − | 22.9051i | −1.02392 | − | 0.743925i | ||||
\(949\) | 7.73516 | − | 43.6870i | 0.251094 | − | 1.41814i | ||||
\(950\) | 12.0762 | + | 37.1667i | 0.391803 | + | 1.20585i | ||||
\(951\) | 12.0659 | − | 14.9001i | 0.391262 | − | 0.483169i | ||||
\(952\) | 6.35821 | − | 0.668275i | 0.206071 | − | 0.0216589i | ||||
\(953\) | 30.2775 | − | 33.6266i | 0.980785 | − | 1.08927i | −0.0152116 | − | 0.999884i | \(-0.504842\pi\) |
0.995997 | − | 0.0893881i | \(-0.0284912\pi\) | |||||||
\(954\) | −11.8378 | − | 23.2331i | −0.383264 | − | 0.752198i | ||||
\(955\) | −0.0175868 | + | 0.0142415i | −0.000569095 | + | 0.000460844i | ||||
\(956\) | −5.72065 | + | 21.3498i | −0.185019 | + | 0.690500i | ||||
\(957\) | 2.93428 | + | 1.28741i | 0.0948518 | + | 0.0416161i | ||||
\(958\) | −17.1766 | − | 29.7507i | −0.554951 | − | 0.961203i | ||||
\(959\) | 22.5722 | − | 10.0498i | 0.728893 | − | 0.324524i | ||||
\(960\) | −4.10018 | − | 0.214881i | −0.132333 | − | 0.00693526i | ||||
\(961\) | −12.4672 | + | 4.05083i | −0.402167 | + | 0.130672i | ||||
\(962\) | −4.33451 | − | 7.83276i | −0.139750 | − | 0.252538i | ||||
\(963\) | −9.11515 | − | 12.5459i | −0.293732 | − | 0.404287i | ||||
\(964\) | −12.3865 | + | 8.04390i | −0.398943 | + | 0.259077i | ||||
\(965\) | −5.48113 | + | 4.93523i | −0.176444 | + | 0.158871i | ||||
\(966\) | 14.9372 | + | 1.56996i | 0.480597 | + | 0.0505128i | ||||
\(967\) | −34.8951 | + | 34.8951i | −1.12215 | + | 1.12215i | −0.130731 | + | 0.991418i | \(0.541733\pi\) |
−0.991418 | + | 0.130731i | \(0.958267\pi\) | |||||||
\(968\) | 1.11570 | + | 6.58159i | 0.0358598 | + | 0.211540i | ||||
\(969\) | 15.0579 | + | 4.03475i | 0.483729 | + | 0.129615i | ||||
\(970\) | −1.00759 | − | 6.36169i | −0.0323518 | − | 0.204262i | ||||
\(971\) | 40.7003 | − | 8.65112i | 1.30614 | − | 0.277628i | 0.498284 | − | 0.867014i | \(-0.333964\pi\) |
0.807852 | + | 0.589386i | \(0.200630\pi\) | |||||||
\(972\) | −0.476720 | + | 2.24279i | −0.0152908 | + | 0.0719376i | ||||
\(973\) | −7.68639 | − | 6.22431i | −0.246414 | − | 0.199542i | ||||
\(974\) | 48.3777 | − | 35.1485i | 1.55012 | − | 1.12623i | ||||
\(975\) | 11.4306 | + | 13.1683i | 0.366072 | + | 0.421722i | ||||
\(976\) | 15.2196 | + | 4.94514i | 0.487167 | + | 0.158290i | ||||
\(977\) | −37.0091 | − | 14.2064i | −1.18402 | − | 0.454504i | −0.314913 | − | 0.949121i | \(-0.601975\pi\) |
−0.869112 | + | 0.494616i | \(0.835309\pi\) | |||||||
\(978\) | 22.5054 | + | 12.9935i | 0.719645 | + | 0.415487i | ||||
\(979\) | −35.7547 | + | 44.6461i | −1.14272 | + | 1.42689i | ||||
\(980\) | 0.0353221 | + | 0.0353221i | 0.00112832 | + | 0.00112832i | ||||
\(981\) | −2.33430 | − | 2.88261i | −0.0745283 | − | 0.0920348i | ||||
\(982\) | 27.8472 | − | 42.8810i | 0.888641 | − | 1.36839i | ||||
\(983\) | −7.98385 | − | 4.06797i | −0.254645 | − | 0.129748i | 0.322009 | − | 0.946737i | \(-0.395642\pi\) |
−0.576654 | + | 0.816988i | \(0.695642\pi\) | |||||||
\(984\) | 3.74188 | + | 1.66599i | 0.119287 | + | 0.0531099i | ||||
\(985\) | 0.735663 | + | 6.99937i | 0.0234402 | + | 0.223018i | ||||
\(986\) | −4.35789 | − | 6.71056i | −0.138783 | − | 0.213708i | ||||
\(987\) | −3.23735 | + | 9.96353i | −0.103046 | + | 0.317143i | ||||
\(988\) | −27.3547 | + | 17.0661i | −0.870269 | + | 0.542946i | ||||
\(989\) | 1.75843i | 0.0559148i | ||||||||
\(990\) | −0.0150734 | − | 2.78066i | −0.000479065 | − | 0.0883753i | ||||
\(991\) | 12.0693 | − | 20.9047i | 0.383395 | − | 0.664060i | −0.608150 | − | 0.793822i | \(-0.708088\pi\) |
0.991545 | + | 0.129762i | \(0.0414214\pi\) | |||||||
\(992\) | −5.63011 | + | 53.5669i | −0.178756 | + | 1.70075i | ||||
\(993\) | 9.90625 | − | 5.04749i | 0.314365 | − | 0.160177i | ||||
\(994\) | 60.5999 | − | 3.17590i | 1.92211 | − | 0.100734i | ||||
\(995\) | 6.03871 | − | 2.31804i | 0.191440 | − | 0.0734869i | ||||
\(996\) | 3.90010 | + | 0.617715i | 0.123579 | + | 0.0195731i | ||||
\(997\) | 5.10524 | + | 4.59678i | 0.161684 | + | 0.145581i | 0.746002 | − | 0.665944i | \(-0.231971\pi\) |
−0.584317 | + | 0.811525i | \(0.698638\pi\) | |||||||
\(998\) | −22.6856 | − | 25.1949i | −0.718099 | − | 0.797530i | ||||
\(999\) | −0.429445 | + | 1.11874i | −0.0135870 | + | 0.0353954i |
(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 | 429.2.bs.b.7.3 | ✓ | 224 | |
11.8 | odd | 10 | inner | 429.2.bs.b.85.3 | yes | 224 | |
13.2 | odd | 12 | inner | 429.2.bs.b.106.3 | yes | 224 | |
143.41 | even | 60 | inner | 429.2.bs.b.184.3 | yes | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
429.2.bs.b.7.3 | ✓ | 224 | 1.1 | even | 1 | trivial | |
429.2.bs.b.85.3 | yes | 224 | 11.8 | odd | 10 | inner | |
429.2.bs.b.106.3 | yes | 224 | 13.2 | odd | 12 | inner | |
429.2.bs.b.184.3 | yes | 224 | 143.41 | even | 60 | inner |