Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [414,2,Mod(13,414)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(414, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([22, 42]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("414.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 414 = 2 \cdot 3^{2} \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 414.m (of order \(33\), degree \(20\), 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: | \(3.30580664368\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{33})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{33}]$ |
Embedding invariants
Embedding label | 13.4 | ||
Character | \(\chi\) | \(=\) | 414.13 |
Dual form | 414.2.m.a.223.4 |
$q$-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 \(\left(\mathbb{Z}/414\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(235\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{7}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.327068 | − | 0.945001i | 0.231272 | − | 0.668216i | ||||
\(3\) | −1.08222 | + | 1.35233i | −0.624819 | + | 0.780769i | ||||
\(4\) | −0.786053 | − | 0.618159i | −0.393027 | − | 0.309079i | ||||
\(5\) | 0.204372 | + | 0.287001i | 0.0913980 | + | 0.128351i | 0.857743 | − | 0.514079i | \(-0.171866\pi\) |
−0.766345 | + | 0.642429i | \(0.777927\pi\) | |||||||
\(6\) | 0.923996 | + | 1.46500i | 0.377220 | + | 0.598085i | ||||
\(7\) | −0.726527 | − | 2.99479i | −0.274602 | − | 1.13192i | −0.927304 | − | 0.374309i | \(-0.877880\pi\) |
0.652703 | − | 0.757614i | \(-0.273635\pi\) | |||||||
\(8\) | −0.841254 | + | 0.540641i | −0.297428 | + | 0.191145i | ||||
\(9\) | −0.657606 | − | 2.92704i | −0.219202 | − | 0.975680i | ||||
\(10\) | 0.338059 | − | 0.0992632i | 0.106904 | − | 0.0313898i | ||||
\(11\) | 4.81224 | + | 0.927484i | 1.45095 | + | 0.279647i | 0.853009 | − | 0.521896i | \(-0.174775\pi\) |
0.597937 | + | 0.801543i | \(0.295987\pi\) | |||||||
\(12\) | 1.68664 | − | 0.394022i | 0.486890 | − | 0.113744i | ||||
\(13\) | −0.235775 | + | 0.971876i | −0.0653921 | + | 0.269550i | −0.995117 | − | 0.0987058i | \(-0.968530\pi\) |
0.929725 | + | 0.368256i | \(0.120045\pi\) | |||||||
\(14\) | −3.06770 | − | 0.292930i | −0.819877 | − | 0.0782888i | ||||
\(15\) | −0.609295 | − | 0.0342182i | −0.157319 | − | 0.00883511i | ||||
\(16\) | 0.235759 | + | 0.971812i | 0.0589397 | + | 0.242953i | ||||
\(17\) | −0.863401 | − | 6.00509i | −0.209406 | − | 1.45645i | −0.775103 | − | 0.631835i | \(-0.782302\pi\) |
0.565698 | − | 0.824613i | \(-0.308607\pi\) | |||||||
\(18\) | −2.98114 | − | 0.335902i | −0.702660 | − | 0.0791730i | ||||
\(19\) | 0.209251 | − | 1.45537i | 0.0480055 | − | 0.333885i | −0.951639 | − | 0.307219i | \(-0.900602\pi\) |
0.999644 | − | 0.0266666i | \(-0.00848924\pi\) | |||||||
\(20\) | 0.0167646 | − | 0.351932i | 0.00374868 | − | 0.0786944i | ||||
\(21\) | 4.83621 | + | 2.25851i | 1.05535 | + | 0.492847i | ||||
\(22\) | 2.45040 | − | 4.24422i | 0.522428 | − | 0.904871i | ||||
\(23\) | −1.29451 | − | 4.61782i | −0.269924 | − | 0.962882i | ||||
\(24\) | 0.179294 | − | 1.72275i | 0.0365983 | − | 0.351654i | ||||
\(25\) | 1.59474 | − | 4.60769i | 0.318948 | − | 0.921539i | ||||
\(26\) | 0.841309 | + | 0.540677i | 0.164994 | + | 0.106035i | ||||
\(27\) | 4.67000 | + | 2.27839i | 0.898742 | + | 0.438477i | ||||
\(28\) | −1.28017 | + | 2.80317i | −0.241928 | + | 0.529750i | ||||
\(29\) | 7.50349 | − | 5.90081i | 1.39336 | − | 1.09575i | 0.410410 | − | 0.911901i | \(-0.365386\pi\) |
0.982954 | − | 0.183853i | \(-0.0588569\pi\) | |||||||
\(30\) | −0.231617 | + | 0.564593i | −0.0422873 | + | 0.103080i | ||||
\(31\) | 0.0965191 | + | 2.02619i | 0.0173353 | + | 0.363914i | 0.990822 | + | 0.135171i | \(0.0431584\pi\) |
−0.973487 | + | 0.228743i | \(0.926539\pi\) | |||||||
\(32\) | 0.995472 | + | 0.0950560i | 0.175976 | + | 0.0168037i | ||||
\(33\) | −6.46216 | + | 5.50401i | −1.12492 | + | 0.958125i | ||||
\(34\) | −5.95720 | − | 1.14816i | −1.02165 | − | 0.196907i | ||||
\(35\) | 0.711023 | − | 0.820565i | 0.120185 | − | 0.138701i | ||||
\(36\) | −1.29246 | + | 2.70731i | −0.215410 | + | 0.451219i | ||||
\(37\) | 3.58775 | + | 7.85607i | 0.589822 | + | 1.29153i | 0.935550 | + | 0.353195i | \(0.114905\pi\) |
−0.345727 | + | 0.938335i | \(0.612368\pi\) | |||||||
\(38\) | −1.30689 | − | 0.673748i | −0.212005 | − | 0.109296i | ||||
\(39\) | −1.05914 | − | 1.37063i | −0.169598 | − | 0.219476i | ||||
\(40\) | −0.327093 | − | 0.130948i | −0.0517179 | − | 0.0207047i | ||||
\(41\) | −5.48637 | − | 7.70453i | −0.856827 | − | 1.20325i | −0.977580 | − | 0.210563i | \(-0.932470\pi\) |
0.120753 | − | 0.992683i | \(-0.461469\pi\) | |||||||
\(42\) | 3.71606 | − | 3.83154i | 0.573401 | − | 0.591219i | ||||
\(43\) | −0.473921 | + | 9.94883i | −0.0722723 | + | 1.51718i | 0.613691 | + | 0.789546i | \(0.289684\pi\) |
−0.685963 | + | 0.727636i | \(0.740619\pi\) | |||||||
\(44\) | −3.20935 | − | 3.70378i | −0.483827 | − | 0.558366i | ||||
\(45\) | 0.705665 | − | 0.786938i | 0.105194 | − | 0.117310i | ||||
\(46\) | −4.78723 | − | 0.287026i | −0.705839 | − | 0.0423196i | ||||
\(47\) | −0.280611 | − | 0.486032i | −0.0409313 | − | 0.0708951i | 0.844834 | − | 0.535029i | \(-0.179699\pi\) |
−0.885765 | + | 0.464133i | \(0.846366\pi\) | |||||||
\(48\) | −1.56935 | − | 0.732888i | −0.226517 | − | 0.105783i | ||||
\(49\) | −2.21906 | + | 1.14400i | −0.317008 | + | 0.163429i | ||||
\(50\) | −3.83269 | − | 3.01406i | −0.542024 | − | 0.426252i | ||||
\(51\) | 9.05526 | + | 5.33121i | 1.26799 | + | 0.746519i | ||||
\(52\) | 0.786105 | − | 0.618200i | 0.109013 | − | 0.0857289i | ||||
\(53\) | −9.36230 | − | 2.74902i | −1.28601 | − | 0.377607i | −0.433897 | − | 0.900963i | \(-0.642862\pi\) |
−0.852114 | + | 0.523356i | \(0.824680\pi\) | |||||||
\(54\) | 3.68049 | − | 3.66797i | 0.500852 | − | 0.499147i | ||||
\(55\) | 0.717300 | + | 1.57067i | 0.0967207 | + | 0.211789i | ||||
\(56\) | 2.23030 | + | 2.12658i | 0.298036 | + | 0.284177i | ||||
\(57\) | 1.74169 | + | 1.85801i | 0.230693 | + | 0.246099i | ||||
\(58\) | −3.12212 | − | 9.02078i | −0.409955 | − | 1.18449i | ||||
\(59\) | −2.03035 | + | 8.36923i | −0.264329 | + | 1.08958i | 0.672584 | + | 0.740021i | \(0.265184\pi\) |
−0.936914 | + | 0.349560i | \(0.886331\pi\) | |||||||
\(60\) | 0.457786 | + | 0.403539i | 0.0591000 | + | 0.0520966i | ||||
\(61\) | −3.86557 | − | 1.99284i | −0.494936 | − | 0.255157i | 0.192640 | − | 0.981269i | \(-0.438295\pi\) |
−0.687576 | + | 0.726112i | \(0.741325\pi\) | |||||||
\(62\) | 1.94632 | + | 0.571490i | 0.247182 | + | 0.0725793i | ||||
\(63\) | −8.28809 | + | 4.09596i | −1.04420 | + | 0.516043i | ||||
\(64\) | 0.415415 | − | 0.909632i | 0.0519269 | − | 0.113704i | ||||
\(65\) | −0.327115 | + | 0.130957i | −0.0405736 | + | 0.0162432i | ||||
\(66\) | 3.08773 | + | 7.90694i | 0.380073 | + | 0.973277i | ||||
\(67\) | −9.81171 | + | 1.89105i | −1.19869 | + | 0.231029i | −0.749254 | − | 0.662283i | \(-0.769588\pi\) |
−0.449437 | + | 0.893312i | \(0.648375\pi\) | |||||||
\(68\) | −3.03342 | + | 5.25404i | −0.367856 | + | 0.637146i | ||||
\(69\) | 7.64577 | + | 3.24688i | 0.920442 | + | 0.390878i | ||||
\(70\) | −0.542881 | − | 0.940298i | −0.0648867 | − | 0.112387i | ||||
\(71\) | 7.90957 | + | 9.12813i | 0.938693 | + | 1.08331i | 0.996383 | + | 0.0849754i | \(0.0270812\pi\) |
−0.0576896 | + | 0.998335i | \(0.518373\pi\) | |||||||
\(72\) | 2.13569 | + | 2.10685i | 0.251693 | + | 0.248295i | ||||
\(73\) | −0.808407 | + | 5.62259i | −0.0946169 | + | 0.658075i | 0.886223 | + | 0.463259i | \(0.153320\pi\) |
−0.980840 | + | 0.194816i | \(0.937589\pi\) | |||||||
\(74\) | 8.59743 | − | 0.820955i | 0.999431 | − | 0.0954341i | ||||
\(75\) | 4.50528 | + | 7.14315i | 0.520225 | + | 0.824820i | ||||
\(76\) | −1.06413 | + | 1.01465i | −0.122065 | + | 0.116388i | ||||
\(77\) | −0.718610 | − | 15.0855i | −0.0818932 | − | 1.71915i | ||||
\(78\) | −1.64166 | + | 0.552600i | −0.185881 | + | 0.0625696i | ||||
\(79\) | 6.89319 | + | 6.57264i | 0.775544 | + | 0.739480i | 0.970440 | − | 0.241344i | \(-0.0775883\pi\) |
−0.194896 | + | 0.980824i | \(0.562437\pi\) | |||||||
\(80\) | −0.230728 | + | 0.266274i | −0.0257962 | + | 0.0297704i | ||||
\(81\) | −8.13511 | + | 3.84968i | −0.903901 | + | 0.427742i | ||||
\(82\) | −9.07520 | + | 2.66472i | −1.00219 | + | 0.294269i | ||||
\(83\) | −3.18899 | + | 4.47830i | −0.350037 | + | 0.491558i | −0.951631 | − | 0.307244i | \(-0.900593\pi\) |
0.601594 | + | 0.798802i | \(0.294533\pi\) | |||||||
\(84\) | −2.40540 | − | 4.76485i | −0.262451 | − | 0.519888i | ||||
\(85\) | 1.54701 | − | 1.47507i | 0.167797 | − | 0.159994i | ||||
\(86\) | 9.24665 | + | 3.70180i | 0.997092 | + | 0.399175i | ||||
\(87\) | −0.140560 | + | 16.5332i | −0.0150696 | + | 1.77254i | ||||
\(88\) | −4.54975 | + | 1.82145i | −0.485005 | + | 0.194167i | ||||
\(89\) | 3.18010 | + | 2.04373i | 0.337090 | + | 0.216634i | 0.698224 | − | 0.715879i | \(-0.253974\pi\) |
−0.361134 | + | 0.932514i | \(0.617610\pi\) | |||||||
\(90\) | −0.512857 | − | 0.924237i | −0.0540599 | − | 0.0974231i | ||||
\(91\) | 3.08186 | 0.323067 | ||||||||
\(92\) | −1.83699 | + | 4.43006i | −0.191520 | + | 0.461866i | ||||
\(93\) | −2.84453 | − | 2.06225i | −0.294964 | − | 0.213845i | ||||
\(94\) | −0.551080 | + | 0.106212i | −0.0568396 | + | 0.0109549i | ||||
\(95\) | 0.460458 | − | 0.237382i | 0.0472420 | − | 0.0243549i | ||||
\(96\) | −1.20587 | + | 1.24334i | −0.123073 | + | 0.126898i | ||||
\(97\) | −2.38799 | + | 0.228026i | −0.242464 | + | 0.0231525i | −0.215581 | − | 0.976486i | \(-0.569164\pi\) |
−0.0268836 | + | 0.999639i | \(0.508558\pi\) | |||||||
\(98\) | 0.355302 | + | 2.47118i | 0.0358909 | + | 0.249627i | ||||
\(99\) | −0.449779 | − | 14.6955i | −0.0452044 | − | 1.47696i | ||||
\(100\) | −4.10184 | + | 2.63609i | −0.410184 | + | 0.263609i | ||||
\(101\) | 4.87515 | − | 6.84619i | 0.485096 | − | 0.681222i | −0.497397 | − | 0.867523i | \(-0.665711\pi\) |
0.982493 | + | 0.186301i | \(0.0596501\pi\) | |||||||
\(102\) | 7.99969 | − | 6.81356i | 0.792087 | − | 0.674643i | ||||
\(103\) | −3.89820 | − | 11.2631i | −0.384101 | − | 1.10979i | −0.956982 | − | 0.290149i | \(-0.906295\pi\) |
0.572880 | − | 0.819639i | \(-0.305826\pi\) | |||||||
\(104\) | −0.327090 | − | 0.945063i | −0.0320738 | − | 0.0926711i | ||||
\(105\) | 0.340194 | + | 1.84957i | 0.0331995 | + | 0.180500i | ||||
\(106\) | −5.65993 | + | 7.94826i | −0.549741 | + | 0.772004i | ||||
\(107\) | 11.6027 | − | 7.45661i | 1.12168 | − | 0.720857i | 0.157869 | − | 0.987460i | \(-0.449538\pi\) |
0.963807 | + | 0.266603i | \(0.0859012\pi\) | |||||||
\(108\) | −2.26246 | − | 4.67774i | −0.217705 | − | 0.450116i | ||||
\(109\) | −1.00478 | − | 6.98837i | −0.0962401 | − | 0.669364i | −0.979643 | − | 0.200749i | \(-0.935662\pi\) |
0.883403 | − | 0.468615i | \(-0.155247\pi\) | |||||||
\(110\) | 1.71889 | − | 0.164134i | 0.163890 | − | 0.0156496i | ||||
\(111\) | −14.5067 | − | 3.65016i | −1.37692 | − | 0.346458i | ||||
\(112\) | 2.73908 | − | 1.41210i | 0.258819 | − | 0.133430i | ||||
\(113\) | 13.4539 | − | 2.59302i | 1.26563 | − | 0.243931i | 0.488109 | − | 0.872783i | \(-0.337687\pi\) |
0.777525 | + | 0.628852i | \(0.216475\pi\) | |||||||
\(114\) | 2.32547 | − | 1.03821i | 0.217800 | − | 0.0972368i | ||||
\(115\) | 1.06075 | − | 1.31528i | 0.0989158 | − | 0.122650i | ||||
\(116\) | −9.54579 | −0.886304 | ||||||||
\(117\) | 2.99977 | + | 0.0510098i | 0.277328 | + | 0.00471586i | ||||
\(118\) | 7.24487 | + | 4.65599i | 0.666944 | + | 0.428619i | ||||
\(119\) | −17.3567 | + | 6.94856i | −1.59108 | + | 0.636974i | ||||
\(120\) | 0.531072 | − | 0.300624i | 0.0484800 | − | 0.0274431i | ||||
\(121\) | 12.0854 | + | 4.83826i | 1.09867 | + | 0.439842i | ||||
\(122\) | −3.14754 | + | 3.00117i | −0.284965 | + | 0.271714i | ||||
\(123\) | 16.3565 | + | 0.918588i | 1.47482 | + | 0.0828263i | ||||
\(124\) | 1.17664 | − | 1.65235i | 0.105665 | − | 0.148386i | ||||
\(125\) | 3.33863 | − | 0.980309i | 0.298616 | − | 0.0876815i | ||||
\(126\) | 1.15992 | + | 9.17191i | 0.103334 | + | 0.817098i | ||||
\(127\) | 2.88379 | − | 3.32807i | 0.255895 | − | 0.295319i | −0.613237 | − | 0.789899i | \(-0.710133\pi\) |
0.869132 | + | 0.494581i | \(0.164678\pi\) | |||||||
\(128\) | −0.723734 | − | 0.690079i | −0.0639697 | − | 0.0609949i | ||||
\(129\) | −12.9412 | − | 11.4077i | −1.13941 | − | 1.00439i | ||||
\(130\) | 0.0167657 | + | 0.351955i | 0.00147045 | + | 0.0308685i | ||||
\(131\) | 4.76433 | − | 4.54278i | 0.416261 | − | 0.396904i | −0.452797 | − | 0.891613i | \(-0.649574\pi\) |
0.869059 | + | 0.494709i | \(0.164725\pi\) | |||||||
\(132\) | 8.48196 | − | 0.331800i | 0.738260 | − | 0.0288795i | ||||
\(133\) | −4.51056 | + | 0.430706i | −0.391115 | + | 0.0373469i | ||||
\(134\) | −1.42205 | + | 9.89057i | −0.122846 | + | 0.854415i | ||||
\(135\) | 0.300518 | + | 1.80593i | 0.0258645 | + | 0.155430i | ||||
\(136\) | 3.97293 | + | 4.58501i | 0.340676 | + | 0.393161i | ||||
\(137\) | 5.60506 | + | 9.70825i | 0.478873 | + | 0.829432i | 0.999707 | − | 0.0242262i | \(-0.00771219\pi\) |
−0.520834 | + | 0.853658i | \(0.674379\pi\) | |||||||
\(138\) | 5.56899 | − | 6.16331i | 0.474064 | − | 0.524656i | ||||
\(139\) | −9.36306 | + | 16.2173i | −0.794164 | + | 1.37553i | 0.129204 | + | 0.991618i | \(0.458758\pi\) |
−0.923368 | + | 0.383915i | \(0.874576\pi\) | |||||||
\(140\) | −1.06614 | + | 0.205482i | −0.0901054 | + | 0.0173664i | ||||
\(141\) | 0.960960 | + | 0.146514i | 0.0809274 | + | 0.0123387i | ||||
\(142\) | 11.2131 | − | 4.48903i | 0.940979 | − | 0.376711i | ||||
\(143\) | −2.03600 | + | 4.45823i | −0.170259 | + | 0.372816i | ||||
\(144\) | 2.68949 | − | 1.32914i | 0.224124 | − | 0.110762i | ||||
\(145\) | 3.22704 | + | 0.947545i | 0.267991 | + | 0.0786893i | ||||
\(146\) | 5.04895 | + | 2.60292i | 0.417854 | + | 0.215419i | ||||
\(147\) | 0.854432 | − | 4.23897i | 0.0704724 | − | 0.349624i | ||||
\(148\) | 2.03614 | − | 8.39309i | 0.167370 | − | 0.689908i | ||||
\(149\) | −1.42156 | − | 4.10732i | −0.116459 | − | 0.336485i | 0.871674 | − | 0.490085i | \(-0.163034\pi\) |
−0.988133 | + | 0.153600i | \(0.950913\pi\) | |||||||
\(150\) | 8.22381 | − | 1.92120i | 0.671472 | − | 0.156865i | ||||
\(151\) | −4.01913 | − | 3.83224i | −0.327072 | − | 0.311863i | 0.508695 | − | 0.860947i | \(-0.330128\pi\) |
−0.835767 | + | 0.549084i | \(0.814977\pi\) | |||||||
\(152\) | 0.610801 | + | 1.33747i | 0.0495425 | + | 0.108483i | ||||
\(153\) | −17.0093 | + | 6.47619i | −1.37512 | + | 0.523569i | ||||
\(154\) | −14.4908 | − | 4.25489i | −1.16770 | − | 0.342869i | ||||
\(155\) | −0.561791 | + | 0.441797i | −0.0451241 | + | 0.0354860i | ||||
\(156\) | −0.0147258 | + | 1.73210i | −0.00117901 | + | 0.138679i | ||||
\(157\) | −13.3620 | − | 10.5080i | −1.06641 | − | 0.838631i | −0.0790057 | − | 0.996874i | \(-0.525175\pi\) |
−0.987400 | + | 0.158243i | \(0.949417\pi\) | |||||||
\(158\) | 8.46569 | − | 4.36437i | 0.673494 | − | 0.347210i | ||||
\(159\) | 13.8496 | − | 9.68590i | 1.09835 | − | 0.768142i | ||||
\(160\) | 0.176166 | + | 0.305128i | 0.0139271 | + | 0.0241225i | ||||
\(161\) | −12.8889 | + | 7.23176i | −1.01579 | + | 0.569942i | ||||
\(162\) | 0.977213 | + | 8.94679i | 0.0767771 | + | 0.702926i | ||||
\(163\) | 7.08819 | + | 8.18020i | 0.555190 | + | 0.640723i | 0.962084 | − | 0.272752i | \(-0.0879339\pi\) |
−0.406895 | + | 0.913475i | \(0.633388\pi\) | |||||||
\(164\) | −0.450045 | + | 9.44762i | −0.0351426 | + | 0.737735i | ||||
\(165\) | −2.90034 | − | 0.729778i | −0.225791 | − | 0.0568131i | ||||
\(166\) | 3.18899 | + | 4.47830i | 0.247513 | + | 0.347584i | ||||
\(167\) | −16.3158 | − | 6.53186i | −1.26255 | − | 0.505451i | −0.358765 | − | 0.933428i | \(-0.616802\pi\) |
−0.903790 | + | 0.427977i | \(0.859226\pi\) | |||||||
\(168\) | −5.28952 | + | 0.714675i | −0.408095 | + | 0.0551383i | ||||
\(169\) | 10.6659 | + | 5.49866i | 0.820454 | + | 0.422974i | ||||
\(170\) | −0.887965 | − | 1.94437i | −0.0681038 | − | 0.149126i | ||||
\(171\) | −4.39754 | + | 0.344576i | −0.336288 | + | 0.0263504i | ||||
\(172\) | 6.52248 | − | 7.52735i | 0.497335 | − | 0.573955i | ||||
\(173\) | 18.2028 | + | 3.50829i | 1.38393 | + | 0.266731i | 0.826240 | − | 0.563319i | \(-0.190476\pi\) |
0.557690 | + | 0.830049i | \(0.311688\pi\) | |||||||
\(174\) | 15.5779 | + | 5.54031i | 1.18096 | + | 0.420010i | ||||
\(175\) | −14.9577 | − | 1.42829i | −1.13069 | − | 0.107968i | ||||
\(176\) | 0.233190 | + | 4.89526i | 0.0175773 | + | 0.368994i | ||||
\(177\) | −9.12070 | − | 11.8030i | −0.685553 | − | 0.887172i | ||||
\(178\) | 2.97143 | − | 2.33676i | 0.222718 | − | 0.175147i | ||||
\(179\) | −2.19976 | + | 4.81680i | −0.164418 | + | 0.360025i | −0.973851 | − | 0.227187i | \(-0.927047\pi\) |
0.809433 | + | 0.587212i | \(0.199774\pi\) | |||||||
\(180\) | −1.04114 | + | 0.182362i | −0.0776022 | + | 0.0135925i | ||||
\(181\) | −2.34127 | − | 1.50464i | −0.174025 | − | 0.111839i | 0.450729 | − | 0.892661i | \(-0.351164\pi\) |
−0.624754 | + | 0.780822i | \(0.714801\pi\) | |||||||
\(182\) | 1.00798 | − | 2.91236i | 0.0747162 | − | 0.215878i | ||||
\(183\) | 6.87838 | − | 3.07085i | 0.508464 | − | 0.227004i | ||||
\(184\) | 3.58559 | + | 3.18489i | 0.264333 | + | 0.234793i | ||||
\(185\) | −1.52146 | + | 2.63525i | −0.111860 | + | 0.193747i | ||||
\(186\) | −2.87918 | + | 2.01359i | −0.211112 | + | 0.147644i | ||||
\(187\) | 1.41472 | − | 29.6987i | 0.103455 | − | 2.17179i | ||||
\(188\) | −0.0798702 | + | 0.555510i | −0.00582513 | + | 0.0405147i | ||||
\(189\) | 3.43042 | − | 15.6410i | 0.249526 | − | 1.13771i | ||||
\(190\) | −0.0737256 | − | 0.512773i | −0.00534862 | − | 0.0372005i | ||||
\(191\) | −0.978335 | − | 4.03275i | −0.0707898 | − | 0.291800i | 0.925402 | − | 0.378987i | \(-0.123727\pi\) |
−0.996192 | + | 0.0871870i | \(0.972212\pi\) | |||||||
\(192\) | 0.780555 | + | 1.54620i | 0.0563317 | + | 0.111587i | ||||
\(193\) | 3.60753 | + | 0.344477i | 0.259676 | + | 0.0247960i | 0.224082 | − | 0.974570i | \(-0.428062\pi\) |
0.0355938 | + | 0.999366i | \(0.488668\pi\) | |||||||
\(194\) | −0.565552 | + | 2.33124i | −0.0406043 | + | 0.167373i | ||||
\(195\) | 0.176912 | − | 0.584092i | 0.0126689 | − | 0.0418277i | ||||
\(196\) | 2.45147 | + | 0.472483i | 0.175105 | + | 0.0337488i | ||||
\(197\) | −17.1875 | + | 5.04671i | −1.22456 | + | 0.359563i | −0.829194 | − | 0.558961i | \(-0.811200\pi\) |
−0.395365 | + | 0.918524i | \(0.629382\pi\) | |||||||
\(198\) | −14.0344 | − | 4.38140i | −0.997382 | − | 0.311372i | ||||
\(199\) | 1.17187 | − | 0.753116i | 0.0830718 | − | 0.0533870i | −0.498446 | − | 0.866921i | \(-0.666096\pi\) |
0.581517 | + | 0.813534i | \(0.302459\pi\) | |||||||
\(200\) | 1.14953 | + | 4.73842i | 0.0812839 | + | 0.335057i | ||||
\(201\) | 8.06108 | − | 15.3152i | 0.568585 | − | 1.08025i | ||||
\(202\) | −4.87515 | − | 6.84619i | −0.343015 | − | 0.481696i | ||||
\(203\) | −23.1232 | − | 18.1843i | −1.62293 | − | 1.27629i | ||||
\(204\) | −3.82238 | − | 9.78821i | −0.267620 | − | 0.685312i | ||||
\(205\) | 1.08994 | − | 3.14918i | 0.0761249 | − | 0.219948i | ||||
\(206\) | −11.9186 | −0.830411 | ||||||||
\(207\) | −12.6653 | + | 6.82579i | −0.880296 | + | 0.474425i | ||||
\(208\) | −1.00007 | −0.0693421 | ||||||||
\(209\) | 2.35680 | − | 6.80953i | 0.163023 | − | 0.471025i | ||||
\(210\) | 1.85911 | + | 0.283452i | 0.128291 | + | 0.0195600i | ||||
\(211\) | 17.2847 | + | 13.5929i | 1.18993 | + | 0.935771i | 0.998950 | − | 0.0458223i | \(-0.0145908\pi\) |
0.190981 | + | 0.981594i | \(0.438833\pi\) | |||||||
\(212\) | 5.65993 | + | 7.94826i | 0.388726 | + | 0.545889i | ||||
\(213\) | −20.9042 | + | 0.817736i | −1.43233 | + | 0.0560303i | ||||
\(214\) | −3.25163 | − | 13.4034i | −0.222277 | − | 0.916236i | ||||
\(215\) | −2.95218 | + | 1.89725i | −0.201337 | + | 0.129391i | ||||
\(216\) | −5.16045 | + | 0.608087i | −0.351124 | + | 0.0413751i | ||||
\(217\) | 5.99787 | − | 1.76113i | 0.407162 | − | 0.119554i | ||||
\(218\) | −6.93264 | − | 1.33616i | −0.469538 | − | 0.0904960i | ||||
\(219\) | −6.72874 | − | 7.17811i | −0.454686 | − | 0.485052i | ||||
\(220\) | 0.407087 | − | 1.67803i | 0.0274458 | − | 0.113133i | ||||
\(221\) | 6.03977 | + | 0.576728i | 0.406279 | + | 0.0387949i | ||||
\(222\) | −8.19410 | + | 12.5150i | −0.549952 | + | 0.839954i | ||||
\(223\) | 2.70390 | + | 11.1456i | 0.181067 | + | 0.746367i | 0.987836 | + | 0.155500i | \(0.0496989\pi\) |
−0.806769 | + | 0.590867i | \(0.798786\pi\) | |||||||
\(224\) | −0.438565 | − | 3.05029i | −0.0293029 | − | 0.203806i | ||||
\(225\) | −14.5356 | − | 1.63781i | −0.969041 | − | 0.109188i | ||||
\(226\) | 1.94992 | − | 13.5620i | 0.129707 | − | 0.902132i | ||||
\(227\) | −0.0449630 | + | 0.943889i | −0.00298430 | + | 0.0626481i | −0.999868 | − | 0.0162345i | \(-0.994832\pi\) |
0.996884 | + | 0.0788826i | \(0.0251352\pi\) | |||||||
\(228\) | −0.220518 | − | 2.53714i | −0.0146042 | − | 0.168026i | ||||
\(229\) | −12.9739 | + | 22.4714i | −0.857337 | + | 1.48495i | 0.0171229 | + | 0.999853i | \(0.494549\pi\) |
−0.874460 | + | 0.485098i | \(0.838784\pi\) | |||||||
\(230\) | −0.896001 | − | 1.43260i | −0.0590805 | − | 0.0944628i | ||||
\(231\) | 21.1783 | + | 15.3540i | 1.39343 | + | 1.01022i | ||||
\(232\) | −3.12212 | + | 9.02078i | −0.204977 | + | 0.592243i | ||||
\(233\) | −2.14405 | − | 1.37790i | −0.140461 | − | 0.0902691i | 0.468523 | − | 0.883451i | \(-0.344786\pi\) |
−0.608984 | + | 0.793182i | \(0.708423\pi\) | |||||||
\(234\) | 1.02933 | − | 2.81810i | 0.0672895 | − | 0.184225i | ||||
\(235\) | 0.0821425 | − | 0.179867i | 0.00535839 | − | 0.0117332i | ||||
\(236\) | 6.76948 | − | 5.32358i | 0.440656 | − | 0.346535i | ||||
\(237\) | −16.3483 | + | 2.20885i | −1.06194 | + | 0.143480i | ||||
\(238\) | 0.889587 | + | 18.6747i | 0.0576633 | + | 1.21050i | ||||
\(239\) | 14.0872 | + | 1.34516i | 0.911224 | + | 0.0870113i | 0.540128 | − | 0.841583i | \(-0.318376\pi\) |
0.371096 | + | 0.928594i | \(0.378982\pi\) | |||||||
\(240\) | −0.110393 | − | 0.600188i | −0.00712585 | − | 0.0387419i | ||||
\(241\) | 6.28416 | + | 1.21117i | 0.404798 | + | 0.0780185i | 0.387586 | − | 0.921833i | \(-0.373309\pi\) |
0.0172119 | + | 0.999852i | \(0.494521\pi\) | |||||||
\(242\) | 8.52491 | − | 9.83827i | 0.548002 | − | 0.632428i | ||||
\(243\) | 3.59792 | − | 15.1676i | 0.230807 | − | 0.973000i | ||||
\(244\) | 1.80665 | + | 3.95602i | 0.115659 | + | 0.253258i | ||||
\(245\) | −0.781843 | − | 0.403068i | −0.0499501 | − | 0.0257511i | ||||
\(246\) | 6.21776 | − | 15.1565i | 0.396430 | − | 0.966343i | ||||
\(247\) | 1.36511 | + | 0.546506i | 0.0868596 | + | 0.0347733i | ||||
\(248\) | −1.17664 | − | 1.65235i | −0.0747165 | − | 0.104925i | ||||
\(249\) | −2.60498 | − | 9.15907i | −0.165084 | − | 0.580433i | ||||
\(250\) | 0.165565 | − | 3.47563i | 0.0104712 | − | 0.219818i | ||||
\(251\) | 15.4279 | + | 17.8047i | 0.973799 | + | 1.12382i | 0.992283 | + | 0.123995i | \(0.0395707\pi\) |
−0.0184836 | + | 0.999829i | \(0.505884\pi\) | |||||||
\(252\) | 9.04683 | + | 1.90371i | 0.569897 | + | 0.119923i | ||||
\(253\) | −1.94655 | − | 23.4227i | −0.122379 | − | 1.47257i | ||||
\(254\) | −2.20183 | − | 3.81369i | −0.138155 | − | 0.239292i | ||||
\(255\) | 0.320583 | + | 3.68842i | 0.0200757 | + | 0.230978i | ||||
\(256\) | −0.888835 | + | 0.458227i | −0.0555522 | + | 0.0286392i | ||||
\(257\) | 10.3706 | + | 8.15555i | 0.646902 | + | 0.508729i | 0.886851 | − | 0.462056i | \(-0.152888\pi\) |
−0.239949 | + | 0.970786i | \(0.577131\pi\) | |||||||
\(258\) | −15.0130 | + | 8.49838i | −0.934666 | + | 0.529086i | ||||
\(259\) | 20.9207 | − | 16.4522i | 1.29995 | − | 1.02229i | ||||
\(260\) | 0.338082 | + | 0.0992697i | 0.0209669 | + | 0.00615645i | ||||
\(261\) | −22.2063 | − | 18.0826i | −1.37453 | − | 1.11929i | ||||
\(262\) | −2.73467 | − | 5.98809i | −0.168948 | − | 0.369946i | ||||
\(263\) | 2.30929 | + | 2.20190i | 0.142397 | + | 0.135775i | 0.757930 | − | 0.652336i | \(-0.226211\pi\) |
−0.615533 | + | 0.788111i | \(0.711059\pi\) | |||||||
\(264\) | 2.46063 | − | 8.12398i | 0.151441 | − | 0.499996i | ||||
\(265\) | −1.12442 | − | 3.24881i | −0.0690728 | − | 0.199573i | ||||
\(266\) | −1.06824 | + | 4.40335i | −0.0654981 | + | 0.269987i | ||||
\(267\) | −6.20536 | + | 2.08879i | −0.379762 | + | 0.127832i | ||||
\(268\) | 8.88149 | + | 4.57873i | 0.542524 | + | 0.279690i | ||||
\(269\) | −9.15874 | − | 2.68925i | −0.558418 | − | 0.163966i | −0.00966892 | − | 0.999953i | \(-0.503078\pi\) |
−0.548750 | + | 0.835987i | \(0.684896\pi\) | |||||||
\(270\) | 1.80490 | + | 0.306673i | 0.109843 | + | 0.0186635i | ||||
\(271\) | 1.34694 | − | 2.94939i | 0.0818209 | − | 0.179163i | −0.864300 | − | 0.502977i | \(-0.832238\pi\) |
0.946121 | + | 0.323814i | \(0.104965\pi\) | |||||||
\(272\) | 5.63226 | − | 2.25482i | 0.341506 | − | 0.136718i | ||||
\(273\) | −3.33524 | + | 4.16770i | −0.201858 | + | 0.252240i | ||||
\(274\) | 11.0075 | − | 2.12153i | 0.664990 | − | 0.128166i | ||||
\(275\) | 11.9478 | − | 20.6942i | 0.720481 | − | 1.24791i | ||||
\(276\) | −4.00289 | − | 7.27852i | −0.240946 | − | 0.438115i | ||||
\(277\) | 4.19601 | + | 7.26770i | 0.252114 | + | 0.436674i | 0.964108 | − | 0.265512i | \(-0.0855409\pi\) |
−0.711994 | + | 0.702186i | \(0.752208\pi\) | |||||||
\(278\) | 12.2630 | + | 14.1523i | 0.735486 | + | 0.848796i | ||||
\(279\) | 5.86725 | − | 1.61495i | 0.351263 | − | 0.0966844i | ||||
\(280\) | −0.154520 | + | 1.07471i | −0.00923434 | + | 0.0642263i | ||||
\(281\) | 6.68210 | − | 0.638063i | 0.398620 | − | 0.0380636i | 0.106179 | − | 0.994347i | \(-0.466138\pi\) |
0.292442 | + | 0.956283i | \(0.405532\pi\) | |||||||
\(282\) | 0.452755 | − | 0.860188i | 0.0269612 | − | 0.0512234i | ||||
\(283\) | 6.85449 | − | 6.53574i | 0.407457 | − | 0.388509i | −0.458445 | − | 0.888723i | \(-0.651594\pi\) |
0.865902 | + | 0.500213i | \(0.166745\pi\) | |||||||
\(284\) | −0.574706 | − | 12.0646i | −0.0341025 | − | 0.715900i | ||||
\(285\) | −0.177296 | + | 0.879591i | −0.0105021 | + | 0.0521025i | ||||
\(286\) | 3.54712 | + | 3.38217i | 0.209745 | + | 0.199992i | ||||
\(287\) | −19.0874 | + | 22.0281i | −1.12669 | + | 1.30028i | ||||
\(288\) | −0.376396 | − | 2.97629i | −0.0221793 | − | 0.175380i | ||||
\(289\) | −19.0042 | + | 5.58015i | −1.11790 | + | 0.328244i | ||||
\(290\) | 1.95089 | − | 2.73965i | 0.114560 | − | 0.160878i | ||||
\(291\) | 2.27597 | − | 3.47614i | 0.133419 | − | 0.203775i | ||||
\(292\) | 4.11111 | − | 3.91993i | 0.240584 | − | 0.229397i | ||||
\(293\) | 3.31229 | + | 1.32604i | 0.193506 | + | 0.0774681i | 0.466392 | − | 0.884578i | \(-0.345554\pi\) |
−0.272886 | + | 0.962047i | \(0.587978\pi\) | |||||||
\(294\) | −3.72637 | − | 2.19387i | −0.217326 | − | 0.127949i | ||||
\(295\) | −2.81692 | + | 1.12773i | −0.164007 | + | 0.0656587i | ||||
\(296\) | −7.26552 | − | 4.66927i | −0.422300 | − | 0.271396i | ||||
\(297\) | 20.3600 | + | 15.2955i | 1.18141 | + | 0.887537i | ||||
\(298\) | −4.34637 | −0.251779 | ||||||||
\(299\) | 4.79316 | − | 0.169341i | 0.277196 | − | 0.00979323i | ||||
\(300\) | 0.874213 | − | 8.39987i | 0.0504727 | − | 0.484967i | ||||
\(301\) | 30.1389 | − | 5.80880i | 1.73718 | − | 0.334814i | ||||
\(302\) | −4.93600 | + | 2.54468i | −0.284035 | + | 0.146430i | ||||
\(303\) | 3.98235 | + | 14.0019i | 0.228780 | + | 0.804388i | ||||
\(304\) | 1.46368 | − | 0.139765i | 0.0839478 | − | 0.00801605i | ||||
\(305\) | −0.218069 | − | 1.51670i | −0.0124866 | − | 0.0868461i | ||||
\(306\) | 0.556793 | + | 18.1920i | 0.0318297 | + | 1.03997i | ||||
\(307\) | 14.2124 | − | 9.13373i | 0.811142 | − | 0.521289i | −0.0680920 | − | 0.997679i | \(-0.521691\pi\) |
0.879234 | + | 0.476390i | \(0.158055\pi\) | |||||||
\(308\) | −8.76036 | + | 12.3022i | −0.499168 | + | 0.700983i | ||||
\(309\) | 19.4502 | + | 6.91749i | 1.10648 | + | 0.393522i | ||||
\(310\) | 0.233755 | + | 0.675390i | 0.0132764 | + | 0.0383596i | ||||
\(311\) | 3.49200 | + | 10.0895i | 0.198013 | + | 0.572121i | 0.999671 | − | 0.0256622i | \(-0.00816944\pi\) |
−0.801658 | + | 0.597784i | \(0.796048\pi\) | |||||||
\(312\) | 1.63202 | + | 0.580431i | 0.0923951 | + | 0.0328605i | ||||
\(313\) | −2.68211 | + | 3.76649i | −0.151602 | + | 0.212895i | −0.883392 | − | 0.468636i | \(-0.844746\pi\) |
0.731790 | + | 0.681530i | \(0.238685\pi\) | |||||||
\(314\) | −14.3004 | + | 9.19029i | −0.807017 | + | 0.518638i | ||||
\(315\) | −2.86940 | − | 1.54158i | −0.161672 | − | 0.0868585i | ||||
\(316\) | −1.35547 | − | 9.42753i | −0.0762514 | − | 0.530340i | ||||
\(317\) | −8.39374 | + | 0.801505i | −0.471439 | + | 0.0450170i | −0.328072 | − | 0.944653i | \(-0.606399\pi\) |
−0.143367 | + | 0.989670i | \(0.545793\pi\) | |||||||
\(318\) | −4.62341 | − | 16.2559i | −0.259268 | − | 0.911584i | ||||
\(319\) | 41.5815 | − | 21.4368i | 2.32812 | − | 1.20023i | ||||
\(320\) | 0.345964 | − | 0.0666791i | 0.0193400 | − | 0.00372748i | ||||
\(321\) | −2.47285 | + | 23.7604i | −0.138021 | + | 1.32618i | ||||
\(322\) | 2.61848 | + | 14.5453i | 0.145922 | + | 0.810577i | ||||
\(323\) | −8.92031 | −0.496339 | ||||||||
\(324\) | 8.77434 | + | 2.00274i | 0.487463 | + | 0.111263i | ||||
\(325\) | 4.10211 | + | 2.63627i | 0.227544 | + | 0.146234i | ||||
\(326\) | 10.0486 | − | 4.02286i | 0.556541 | − | 0.222806i | ||||
\(327\) | 10.5380 | + | 6.20415i | 0.582752 | + | 0.343090i | ||||
\(328\) | 8.78081 | + | 3.51531i | 0.484839 | + | 0.194100i | ||||
\(329\) | −1.25169 | + | 1.19349i | −0.0690080 | + | 0.0657990i | ||||
\(330\) | −1.63825 | + | 2.50214i | −0.0901826 | + | 0.137738i | ||||
\(331\) | −9.18722 | + | 12.9016i | −0.504975 | + | 0.709138i | −0.985846 | − | 0.167653i | \(-0.946381\pi\) |
0.480871 | + | 0.876791i | \(0.340321\pi\) | |||||||
\(332\) | 5.27502 | − | 1.54888i | 0.289504 | − | 0.0850061i | ||||
\(333\) | 20.6357 | − | 15.6677i | 1.13083 | − | 0.858583i | ||||
\(334\) | −11.5090 | + | 13.2821i | −0.629744 | + | 0.726763i | ||||
\(335\) | −2.54797 | − | 2.42949i | −0.139211 | − | 0.132737i | ||||
\(336\) | −1.05466 | + | 5.23235i | −0.0575366 | + | 0.285448i | ||||
\(337\) | 1.21376 | + | 25.4799i | 0.0661176 | + | 1.38798i | 0.751470 | + | 0.659767i | \(0.229345\pi\) |
−0.685353 | + | 0.728211i | \(0.740352\pi\) | |||||||
\(338\) | 8.68471 | − | 8.28086i | 0.472386 | − | 0.450419i | ||||
\(339\) | −11.0534 | + | 21.0003i | −0.600338 | + | 1.14058i | ||||
\(340\) | −2.12786 | + | 0.203186i | −0.115399 | + | 0.0110193i | ||||
\(341\) | −1.41478 | + | 9.84002i | −0.0766147 | + | 0.532867i | ||||
\(342\) | −1.11267 | + | 4.26837i | −0.0601662 | + | 0.230807i | ||||
\(343\) | −9.08812 | − | 10.4883i | −0.490713 | − | 0.566313i | ||||
\(344\) | −4.98005 | − | 8.62571i | −0.268507 | − | 0.465067i | ||||
\(345\) | 0.630726 | + | 2.85791i | 0.0339572 | + | 0.153865i | ||||
\(346\) | 9.26888 | − | 16.0542i | 0.498298 | − | 0.863077i | ||||
\(347\) | −11.8162 | + | 2.27738i | −0.634325 | + | 0.122256i | −0.496270 | − | 0.868169i | \(-0.665297\pi\) |
−0.138055 | + | 0.990425i | \(0.544085\pi\) | |||||||
\(348\) | 10.3306 | − | 12.9091i | 0.553780 | − | 0.691999i | ||||
\(349\) | −2.89416 | + | 1.15865i | −0.154921 | + | 0.0620210i | −0.447827 | − | 0.894120i | \(-0.647802\pi\) |
0.292906 | + | 0.956141i | \(0.405378\pi\) | |||||||
\(350\) | −6.24191 | + | 13.6679i | −0.333644 | + | 0.730579i | ||||
\(351\) | −3.31538 | + | 4.00148i | −0.176962 | + | 0.213583i | ||||
\(352\) | 4.70229 | + | 1.38072i | 0.250633 | + | 0.0735924i | ||||
\(353\) | −25.1283 | − | 12.9545i | −1.33744 | − | 0.689500i | −0.366863 | − | 0.930275i | \(-0.619568\pi\) |
−0.970581 | + | 0.240774i | \(0.922599\pi\) | |||||||
\(354\) | −14.1370 | + | 4.75867i | −0.751372 | + | 0.252920i | ||||
\(355\) | −1.00328 | + | 4.13559i | −0.0532487 | + | 0.219494i | ||||
\(356\) | −1.23638 | − | 3.57228i | −0.0655280 | − | 0.189331i | ||||
\(357\) | 9.38695 | − | 30.9919i | 0.496810 | − | 1.64026i | ||||
\(358\) | 3.83241 | + | 3.65420i | 0.202549 | + | 0.193130i | ||||
\(359\) | −8.93968 | − | 19.5752i | −0.471818 | − | 1.03314i | −0.984633 | − | 0.174638i | \(-0.944124\pi\) |
0.512814 | − | 0.858499i | \(-0.328603\pi\) | |||||||
\(360\) | −0.168192 | + | 1.04353i | −0.00886452 | + | 0.0549987i | ||||
\(361\) | 16.1560 | + | 4.74384i | 0.850318 | + | 0.249676i | ||||
\(362\) | −2.18764 | + | 1.72038i | −0.114980 | + | 0.0904211i | ||||
\(363\) | −19.6220 | + | 11.1074i | −1.02989 | + | 0.582988i | ||||
\(364\) | −2.42250 | − | 1.90508i | −0.126974 | − | 0.0998532i | ||||
\(365\) | −1.77890 | + | 0.917088i | −0.0931120 | + | 0.0480026i | ||||
\(366\) | −0.652258 | − | 7.50445i | −0.0340941 | − | 0.392264i | ||||
\(367\) | −12.1107 | − | 20.9763i | −0.632173 | − | 1.09496i | −0.987107 | − | 0.160064i | \(-0.948830\pi\) |
0.354934 | − | 0.934891i | \(-0.384503\pi\) | |||||||
\(368\) | 4.18246 | − | 2.34671i | 0.218026 | − | 0.122331i | ||||
\(369\) | −18.9436 | + | 21.1254i | −0.986163 | + | 1.09974i | ||||
\(370\) | 1.99269 | + | 2.29969i | 0.103595 | + | 0.119555i | ||||
\(371\) | −1.43076 | + | 30.0353i | −0.0742813 | + | 1.55936i | ||||
\(372\) | 0.961155 | + | 3.37941i | 0.0498335 | + | 0.175214i | ||||
\(373\) | −19.0643 | − | 26.7721i | −0.987114 | − | 1.38621i | −0.921507 | − | 0.388361i | \(-0.873041\pi\) |
−0.0656064 | − | 0.997846i | \(-0.520898\pi\) | |||||||
\(374\) | −27.6026 | − | 11.0504i | −1.42730 | − | 0.571403i | ||||
\(375\) | −2.28742 | + | 5.57584i | −0.118122 | + | 0.287935i | ||||
\(376\) | 0.498834 | + | 0.257167i | 0.0257254 | + | 0.0132624i | ||||
\(377\) | 3.96573 | + | 8.68373i | 0.204245 | + | 0.447235i | ||||
\(378\) | −13.6588 | − | 8.35741i | −0.702531 | − | 0.429859i | ||||
\(379\) | 10.3293 | − | 11.9207i | 0.530583 | − | 0.612325i | −0.425666 | − | 0.904881i | \(-0.639960\pi\) |
0.956249 | + | 0.292555i | \(0.0945055\pi\) | |||||||
\(380\) | −0.508684 | − | 0.0980409i | −0.0260950 | − | 0.00502939i | ||||
\(381\) | 1.37977 | + | 7.50154i | 0.0706876 | + | 0.384316i | ||||
\(382\) | −4.13093 | − | 0.394456i | −0.211357 | − | 0.0201821i | ||||
\(383\) | 0.788825 | + | 16.5595i | 0.0403071 | + | 0.846150i | 0.924998 | + | 0.379972i | \(0.124066\pi\) |
−0.884691 | + | 0.466178i | \(0.845631\pi\) | |||||||
\(384\) | 1.71645 | − | 0.231913i | 0.0875925 | − | 0.0118347i | ||||
\(385\) | 4.18268 | − | 3.28929i | 0.213169 | − | 0.167638i | ||||
\(386\) | 1.50544 | − | 3.29645i | 0.0766248 | − | 0.167785i | ||||
\(387\) | 29.4323 | − | 5.15522i | 1.49613 | − | 0.262055i | ||||
\(388\) | 2.01805 | + | 1.29692i | 0.102451 | + | 0.0658411i | ||||
\(389\) | 7.39444 | − | 21.3648i | 0.374913 | − | 1.08324i | −0.586930 | − | 0.809638i | \(-0.699664\pi\) |
0.961843 | − | 0.273602i | \(-0.0882151\pi\) | |||||||
\(390\) | −0.494105 | − | 0.358220i | −0.0250200 | − | 0.0181392i | ||||
\(391\) | −26.6127 | + | 11.7607i | −1.34586 | + | 0.594763i | ||||
\(392\) | 1.24830 | − | 2.16211i | 0.0630484 | − | 0.109203i | ||||
\(393\) | 0.987301 | + | 11.3592i | 0.0498028 | + | 0.572998i | ||||
\(394\) | −0.852340 | + | 17.8928i | −0.0429403 | + | 0.901428i | ||||
\(395\) | −0.477576 | + | 3.32161i | −0.0240294 | + | 0.167128i | ||||
\(396\) | −8.73063 | + | 11.8295i | −0.438731 | + | 0.594455i | ||||
\(397\) | 5.57856 | + | 38.7997i | 0.279980 | + | 1.94730i | 0.318174 | + | 0.948032i | \(0.396930\pi\) |
−0.0381943 | + | 0.999270i | \(0.512161\pi\) | |||||||
\(398\) | −0.328414 | − | 1.35374i | −0.0164619 | − | 0.0678569i | ||||
\(399\) | 4.29895 | − | 6.56589i | 0.215217 | − | 0.328706i | ||||
\(400\) | 4.85378 | + | 0.463480i | 0.242689 | + | 0.0231740i | ||||
\(401\) | −0.771582 | + | 3.18050i | −0.0385309 | + | 0.158827i | −0.987827 | − | 0.155557i | \(-0.950283\pi\) |
0.949296 | + | 0.314384i | \(0.101798\pi\) | |||||||
\(402\) | −11.8364 | − | 12.6268i | −0.590345 | − | 0.629770i | ||||
\(403\) | −1.99196 | − | 0.383919i | −0.0992265 | − | 0.0191243i | ||||
\(404\) | −8.06416 | + | 2.36785i | −0.401207 | + | 0.117805i | ||||
\(405\) | −2.76745 | − | 1.54801i | −0.137516 | − | 0.0769214i | ||||
\(406\) | −24.7470 | + | 15.9039i | −1.22817 | + | 0.789299i | ||||
\(407\) | 9.97873 | + | 41.1329i | 0.494627 | + | 2.03888i | ||||
\(408\) | −10.5000 | + | 0.410744i | −0.519830 | + | 0.0203349i | ||||
\(409\) | 14.9227 | + | 20.9559i | 0.737878 | + | 1.03620i | 0.997512 | + | 0.0704973i | \(0.0224586\pi\) |
−0.259634 | + | 0.965707i | \(0.583602\pi\) | |||||||
\(410\) | −2.61949 | − | 2.05999i | −0.129368 | − | 0.101736i | ||||
\(411\) | −19.1947 | − | 2.92654i | −0.946804 | − | 0.144356i | ||||
\(412\) | −3.89820 | + | 11.2631i | −0.192051 | + | 0.554894i | ||||
\(413\) | 26.5392 | 1.30591 | ||||||||
\(414\) | 2.30798 | + | 14.2012i | 0.113431 | + | 0.697949i | ||||
\(415\) | −1.93701 | −0.0950843 | ||||||||
\(416\) | −0.327090 | + | 0.945063i | −0.0160369 | + | 0.0463355i | ||||
\(417\) | −11.7983 | − | 30.2126i | −0.577765 | − | 1.47952i | ||||
\(418\) | −5.66417 | − | 4.45436i | −0.277044 | − | 0.217870i | ||||
\(419\) | 1.49160 | + | 2.09466i | 0.0728693 | + | 0.102331i | 0.849402 | − | 0.527746i | \(-0.176963\pi\) |
−0.776533 | + | 0.630077i | \(0.783023\pi\) | |||||||
\(420\) | 0.875918 | − | 1.66415i | 0.0427404 | − | 0.0812024i | ||||
\(421\) | −2.39367 | − | 9.86686i | −0.116661 | − | 0.480881i | −0.999928 | − | 0.0120115i | \(-0.996177\pi\) |
0.883267 | − | 0.468870i | \(-0.155339\pi\) | |||||||
\(422\) | 18.4986 | − | 11.8883i | 0.900495 | − | 0.578713i | ||||
\(423\) | −1.23810 | + | 1.14098i | −0.0601987 | + | 0.0554762i | ||||
\(424\) | 9.36230 | − | 2.74902i | 0.454673 | − | 0.133504i | ||||
\(425\) | −29.0465 | − | 5.59826i | −1.40896 | − | 0.271555i | ||||
\(426\) | −6.06432 | + | 20.0219i | −0.293817 | + | 0.970064i | ||||
\(427\) | −3.15969 | + | 13.0244i | −0.152908 | + | 0.630296i | ||||
\(428\) | −13.7297 | − | 1.31103i | −0.663651 | − | 0.0633709i | ||||
\(429\) | −3.82560 | − | 7.57813i | −0.184702 | − | 0.365875i | ||||
\(430\) | 0.827339 | + | 3.41034i | 0.0398978 | + | 0.164461i | ||||
\(431\) | −2.77087 | − | 19.2718i | −0.133468 | − | 0.928290i | −0.940986 | − | 0.338446i | \(-0.890099\pi\) |
0.807518 | − | 0.589843i | \(-0.200810\pi\) | |||||||
\(432\) | −1.11317 | + | 5.07551i | −0.0535576 | + | 0.244196i | ||||
\(433\) | −3.59241 | + | 24.9857i | −0.172640 | + | 1.20074i | 0.700638 | + | 0.713516i | \(0.252899\pi\) |
−0.873279 | + | 0.487221i | \(0.838010\pi\) | |||||||
\(434\) | 0.297439 | − | 6.24400i | 0.0142775 | − | 0.299722i | ||||
\(435\) | −4.77376 | + | 3.33858i | −0.228884 | + | 0.160073i | ||||
\(436\) | −3.53012 | + | 6.11434i | −0.169062 | + | 0.292824i | ||||
\(437\) | −6.99152 | + | 0.917713i | −0.334450 | + | 0.0439002i | ||||
\(438\) | −8.98408 | + | 4.01094i | −0.429276 | + | 0.191650i | ||||
\(439\) | −2.09928 | + | 6.06546i | −0.100193 | + | 0.289489i | −0.983946 | − | 0.178464i | \(-0.942887\pi\) |
0.883753 | + | 0.467953i | \(0.155008\pi\) | |||||||
\(440\) | −1.45260 | − | 0.933528i | −0.0692499 | − | 0.0445042i | ||||
\(441\) | 4.80781 | + | 5.74296i | 0.228943 | + | 0.273474i | ||||
\(442\) | 2.52042 | − | 5.51896i | 0.119884 | − | 0.262510i | ||||
\(443\) | 18.9326 | − | 14.8888i | 0.899516 | − | 0.707388i | −0.0572144 | − | 0.998362i | \(-0.518222\pi\) |
0.956731 | + | 0.290974i | \(0.0939794\pi\) | |||||||
\(444\) | 9.14670 | + | 11.8367i | 0.434083 | + | 0.561745i | ||||
\(445\) | 0.0633734 | + | 1.33037i | 0.00300418 | + | 0.0630656i | ||||
\(446\) | 11.4170 | + | 1.09019i | 0.540610 | + | 0.0516220i | ||||
\(447\) | 7.09290 | + | 2.52260i | 0.335483 | + | 0.119315i | ||||
\(448\) | −3.02596 | − | 0.583207i | −0.142963 | − | 0.0275539i | ||||
\(449\) | 7.83876 | − | 9.04641i | 0.369934 | − | 0.426927i | −0.540009 | − | 0.841659i | \(-0.681579\pi\) |
0.909943 | + | 0.414732i | \(0.136125\pi\) | |||||||
\(450\) | −6.30187 | + | 13.2005i | −0.297073 | + | 0.622277i | ||||
\(451\) | −19.2559 | − | 42.1646i | −0.906726 | − | 1.98545i | ||||
\(452\) | −12.1784 | − | 6.27838i | −0.572822 | − | 0.295310i | ||||
\(453\) | 9.53204 | − | 1.28789i | 0.447854 | − | 0.0605102i | ||||
\(454\) | 0.877270 | + | 0.351206i | 0.0411723 | + | 0.0164829i | ||||
\(455\) | 0.629846 | + | 0.884495i | 0.0295276 | + | 0.0414658i | ||||
\(456\) | −2.46972 | − | 0.621426i | −0.115655 | − | 0.0291009i | ||||
\(457\) | −0.892126 | + | 18.7280i | −0.0417319 | + | 0.876060i | 0.876834 | + | 0.480793i | \(0.159651\pi\) |
−0.918566 | + | 0.395267i | \(0.870652\pi\) | |||||||
\(458\) | 16.9921 | + | 19.6100i | 0.793991 | + | 0.916314i | ||||
\(459\) | 9.64987 | − | 30.0109i | 0.450417 | − | 1.40079i | ||||
\(460\) | −1.64686 | + | 0.378164i | −0.0767853 | + | 0.0176320i | ||||
\(461\) | 17.7707 | + | 30.7798i | 0.827665 | + | 1.43356i | 0.899866 | + | 0.436167i | \(0.143664\pi\) |
−0.0722010 | + | 0.997390i | \(0.523002\pi\) | |||||||
\(462\) | 21.4363 | − | 14.9917i | 0.997305 | − | 0.697477i | ||||
\(463\) | 9.33817 | − | 4.81416i | 0.433981 | − | 0.223733i | −0.227371 | − | 0.973808i | \(-0.573013\pi\) |
0.661353 | + | 0.750075i | \(0.269983\pi\) | |||||||
\(464\) | 7.50349 | + | 5.90081i | 0.348341 | + | 0.273938i | ||||
\(465\) | 0.0105238 | − | 1.23785i | 0.000488030 | − | 0.0574039i | ||||
\(466\) | −2.00336 | + | 1.57546i | −0.0928041 | + | 0.0729819i | ||||
\(467\) | −10.9147 | − | 3.20483i | −0.505070 | − | 0.148302i | 0.0192644 | − | 0.999814i | \(-0.493868\pi\) |
−0.524334 | + | 0.851513i | \(0.675686\pi\) | |||||||
\(468\) | −2.32644 | − | 1.89443i | −0.107540 | − | 0.0875700i | ||||
\(469\) | 12.7918 | + | 28.0101i | 0.590669 | + | 1.29338i | ||||
\(470\) | −0.143108 | − | 0.136453i | −0.00660109 | − | 0.00629413i | ||||
\(471\) | 28.6710 | − | 6.69793i | 1.32109 | − | 0.308625i | ||||
\(472\) | −2.81671 | − | 8.13834i | −0.129649 | − | 0.374597i | ||||
\(473\) | −11.5080 | + | 47.4366i | −0.529138 | + | 2.18114i | ||||
\(474\) | −3.25965 | + | 16.1716i | −0.149721 | + | 0.742787i | ||||
\(475\) | −6.37221 | − | 3.28510i | −0.292377 | − | 0.150731i | ||||
\(476\) | 17.9386 | + | 5.26724i | 0.822214 | + | 0.241424i | ||||
\(477\) | −1.88978 | + | 29.2116i | −0.0865271 | + | 1.33751i | ||||
\(478\) | 5.87864 | − | 12.8724i | 0.268883 | − | 0.588771i | ||||
\(479\) | −20.2890 | + | 8.12249i | −0.927028 | + | 0.371126i | −0.785538 | − | 0.618814i | \(-0.787614\pi\) |
−0.141490 | + | 0.989940i | \(0.545189\pi\) | |||||||
\(480\) | −0.603284 | − | 0.0919805i | −0.0275360 | − | 0.00419832i | ||||
\(481\) | −8.48103 | + | 1.63458i | −0.386702 | + | 0.0745306i | ||||
\(482\) | 3.19991 | − | 5.54240i | 0.145752 | − | 0.252449i | ||||
\(483\) | 4.16885 | − | 25.2564i | 0.189689 | − | 1.14921i | ||||
\(484\) | −6.50895 | − | 11.2738i | −0.295861 | − | 0.512447i | ||||
\(485\) | −0.553483 | − | 0.638754i | −0.0251324 | − | 0.0290043i | ||||
\(486\) | −13.1566 | − | 8.36087i | −0.596795 | − | 0.379257i | ||||
\(487\) | 2.17866 | − | 15.1529i | 0.0987246 | − | 0.686645i | −0.879011 | − | 0.476802i | \(-0.841796\pi\) |
0.977735 | − | 0.209842i | \(-0.0672951\pi\) | |||||||
\(488\) | 4.32934 | − | 0.413402i | 0.195980 | − | 0.0187138i | ||||
\(489\) | −18.7333 | + | 0.732816i | −0.847150 | + | 0.0331391i | ||||
\(490\) | −0.636616 | + | 0.607012i | −0.0287594 | + | 0.0274220i | ||||
\(491\) | 1.52426 | + | 31.9982i | 0.0687890 | + | 1.44406i | 0.724618 | + | 0.689150i | \(0.242016\pi\) |
−0.655829 | + | 0.754909i | \(0.727681\pi\) | |||||||
\(492\) | −12.2893 | − | 10.8330i | −0.554043 | − | 0.488389i | ||||
\(493\) | −41.9134 | − | 39.9644i | −1.88769 | − | 1.79990i | ||||
\(494\) | 0.962931 | − | 1.11128i | 0.0433243 | − | 0.0499989i | ||||
\(495\) | 4.12570 | − | 3.13244i | 0.185437 | − | 0.140793i | ||||
\(496\) | −1.94632 | + | 0.571490i | −0.0873922 | + | 0.0256607i | ||||
\(497\) | 21.5903 | − | 30.3193i | 0.968457 | − | 1.36001i | ||||
\(498\) | −9.50733 | − | 0.533935i | −0.426034 | − | 0.0239262i | ||||
\(499\) | −29.0722 | + | 27.7203i | −1.30145 | + | 1.24093i | −0.348681 | + | 0.937241i | \(0.613370\pi\) |
−0.952771 | + | 0.303691i | \(0.901781\pi\) | |||||||
\(500\) | −3.23033 | − | 1.29323i | −0.144465 | − | 0.0578349i | ||||
\(501\) | 26.4905 | − | 14.9955i | 1.18351 | − | 0.669949i | ||||
\(502\) | 21.8714 | − | 8.75601i | 0.976170 | − | 0.390800i | ||||
\(503\) | 0.994853 | + | 0.639353i | 0.0443583 | + | 0.0285074i | 0.562632 | − | 0.826707i | \(-0.309789\pi\) |
−0.518274 | + | 0.855215i | \(0.673425\pi\) | |||||||
\(504\) | 4.75794 | − | 7.92662i | 0.211935 | − | 0.353080i | ||||
\(505\) | 2.96121 | 0.131772 | ||||||||
\(506\) | −22.7711 | − | 5.82132i | −1.01230 | − | 0.258789i | ||||
\(507\) | −18.9789 | + | 8.47310i | −0.842881 | + | 0.376304i | ||||
\(508\) | −4.32409 | + | 0.833400i | −0.191850 | + | 0.0369761i | ||||
\(509\) | 13.7030 | − | 7.06439i | 0.607375 | − | 0.313124i | −0.126963 | − | 0.991907i | \(-0.540523\pi\) |
0.734338 | + | 0.678784i | \(0.237493\pi\) | |||||||
\(510\) | 3.59041 | + | 0.903412i | 0.158986 | + | 0.0400037i | ||||
\(511\) | 17.4258 | − | 1.66396i | 0.770872 | − | 0.0736093i | ||||
\(512\) | 0.142315 | + | 0.989821i | 0.00628949 | + | 0.0437443i | ||||
\(513\) | 4.29311 | − | 6.31984i | 0.189546 | − | 0.279028i | ||||
\(514\) | 11.0989 | − | 7.13283i | 0.489551 | − | 0.314616i | ||||
\(515\) | 2.43584 | − | 3.42065i | 0.107336 | − | 0.150732i | ||||
\(516\) | 3.12072 | + | 16.9668i | 0.137382 | + | 0.746922i | ||||
\(517\) | −0.899581 | − | 2.59917i | −0.0395635 | − | 0.114311i | ||||
\(518\) | −8.70486 | − | 25.1510i | −0.382469 | − | 1.10507i | ||||
\(519\) | −24.4437 | + | 20.8194i | −1.07296 | + | 0.913872i | ||||
\(520\) | 0.204386 | − | 0.287020i | 0.00896291 | − | 0.0125866i | ||||
\(521\) | 34.9155 | − | 22.4388i | 1.52967 | − | 0.983062i | 0.539693 | − | 0.841862i | \(-0.318540\pi\) |
0.989981 | − | 0.141200i | \(-0.0450961\pi\) | |||||||
\(522\) | −24.3510 | + | 15.0707i | −1.06582 | + | 0.659626i | ||||
\(523\) | 0.679337 | + | 4.72489i | 0.0297053 | + | 0.206605i | 0.999269 | − | 0.0382351i | \(-0.0121736\pi\) |
−0.969563 | + | 0.244840i | \(0.921264\pi\) | |||||||
\(524\) | −6.55317 | + | 0.625752i | −0.286277 | + | 0.0273361i | ||||
\(525\) | 18.1190 | − | 18.6820i | 0.790778 | − | 0.815351i | ||||
\(526\) | 2.83610 | − | 1.46211i | 0.123660 | − | 0.0637510i | ||||
\(527\) | 12.0841 | − | 2.32902i | 0.526391 | − | 0.101454i | ||||
\(528\) | −6.87237 | − | 4.98239i | −0.299082 | − | 0.216831i | ||||
\(529\) | −19.6485 | + | 11.9556i | −0.854282 | + | 0.519810i | ||||
\(530\) | −3.43789 | −0.149332 | ||||||||
\(531\) | 25.8322 | + | 0.439267i | 1.12102 | + | 0.0190626i | ||||
\(532\) | 3.81178 | + | 2.44968i | 0.165262 | + | 0.106207i | ||||
\(533\) | 8.78139 | − | 3.51554i | 0.380364 | − | 0.152275i | ||||
\(534\) | −0.0556626 | + | 6.54725i | −0.00240876 | + | 0.283327i | ||||
\(535\) | 4.51132 | + | 1.80606i | 0.195041 | + | 0.0780828i | ||||
\(536\) | 7.23175 | − | 6.89546i | 0.312364 | − | 0.297839i | ||||
\(537\) | −4.13330 | − | 8.18764i | −0.178365 | − | 0.353323i | ||||
\(538\) | −5.53688 | + | 7.77545i | −0.238712 | + | 0.335224i | ||||
\(539\) | −11.7397 | + | 3.44708i | −0.505664 | + | 0.148476i | ||||
\(540\) | 0.880131 | − | 1.60533i | 0.0378748 | − | 0.0690823i | ||||
\(541\) | 21.7512 | − | 25.1023i | 0.935158 | − | 1.07923i | −0.0615457 | − | 0.998104i | \(-0.519603\pi\) |
0.996704 | − | 0.0811258i | \(-0.0258515\pi\) | |||||||
\(542\) | −2.34664 | − | 2.23751i | −0.100797 | − | 0.0961094i | ||||
\(543\) | 4.56854 | − | 1.53782i | 0.196055 | − | 0.0659942i | ||||
\(544\) | −0.288672 | − | 6.05997i | −0.0123767 | − | 0.259819i | ||||
\(545\) | 1.80032 | − | 1.71660i | 0.0771171 | − | 0.0735310i | ||||
\(546\) | 2.84763 | + | 4.51493i | 0.121867 | + | 0.193221i | ||||
\(547\) | −10.8597 | + | 1.03698i | −0.464328 | + | 0.0443380i | −0.324599 | − | 0.945852i | \(-0.605229\pi\) |
−0.139729 | + | 0.990190i | \(0.544623\pi\) | |||||||
\(548\) | 1.59537 | − | 11.0960i | 0.0681507 | − | 0.473999i | ||||
\(549\) | −3.29110 | + | 12.6252i | −0.140461 | + | 0.538830i | ||||
\(550\) | −15.6483 | − | 18.0591i | −0.667247 | − | 0.770044i | ||||
\(551\) | −7.01777 | − | 12.1551i | −0.298967 | − | 0.517826i | ||||
\(552\) | −8.18742 | + | 1.40217i | −0.348480 | + | 0.0596802i | ||||
\(553\) | 14.6756 | − | 25.4188i | 0.624069 | − | 1.08092i | ||||
\(554\) | 8.24037 | − | 1.58820i | 0.350100 | − | 0.0674762i | ||||
\(555\) | −1.91718 | − | 4.90944i | −0.0813797 | − | 0.208394i | ||||
\(556\) | 17.3847 | − | 6.95980i | 0.737277 | − | 0.295161i | ||||
\(557\) | −0.580442 | + | 1.27099i | −0.0245941 | + | 0.0538536i | −0.921530 | − | 0.388306i | \(-0.873060\pi\) |
0.896936 | + | 0.442160i | \(0.145788\pi\) | |||||||
\(558\) | 0.392864 | − | 6.07276i | 0.0166313 | − | 0.257080i | ||||
\(559\) | −9.55729 | − | 2.80627i | −0.404230 | − | 0.118693i | ||||
\(560\) | 0.965064 | + | 0.497525i | 0.0407814 | + | 0.0210243i | ||||
\(561\) | 38.6315 | + | 34.0537i | 1.63102 | + | 1.43775i | ||||
\(562\) | 1.58253 | − | 6.52328i | 0.0667550 | − | 0.275168i | ||||
\(563\) | −0.192983 | − | 0.557589i | −0.00813328 | − | 0.0234996i | 0.940861 | − | 0.338792i | \(-0.110018\pi\) |
−0.948994 | + | 0.315293i | \(0.897897\pi\) | |||||||
\(564\) | −0.664797 | − | 0.709194i | −0.0279930 | − | 0.0298624i | ||||
\(565\) | 3.49379 | + | 3.33133i | 0.146985 | + | 0.140150i | ||||
\(566\) | −3.93440 | − | 8.61513i | −0.165375 | − | 0.362121i | ||||
\(567\) | 17.4393 | + | 21.5660i | 0.732383 | + | 0.905688i | ||||
\(568\) | −11.5890 | − | 3.40284i | −0.486263 | − | 0.142780i | ||||
\(569\) | 23.8628 | − | 18.7659i | 1.00038 | − | 0.786707i | 0.0233320 | − | 0.999728i | \(-0.492573\pi\) |
0.977048 | + | 0.213020i | \(0.0683301\pi\) | |||||||
\(570\) | 0.773227 | + | 0.455231i | 0.0323869 | + | 0.0190675i | ||||
\(571\) | −28.9952 | − | 22.8021i | −1.21341 | − | 0.954238i | −0.213670 | − | 0.976906i | \(-0.568542\pi\) |
−0.999743 | + | 0.0226674i | \(0.992784\pi\) | |||||||
\(572\) | 4.35630 | − | 2.24583i | 0.182146 | − | 0.0939028i | ||||
\(573\) | 6.51239 | + | 3.04128i | 0.272059 | + | 0.127051i | ||||
\(574\) | 14.5736 | + | 25.2423i | 0.608292 | + | 1.05359i | ||||
\(575\) | −23.3419 | − | 1.39950i | −0.973424 | − | 0.0583631i | ||||
\(576\) | −2.93571 | − | 0.617756i | −0.122321 | − | 0.0257398i | ||||
\(577\) | 3.09521 | + | 3.57206i | 0.128855 | + | 0.148707i | 0.816511 | − | 0.577330i | \(-0.195906\pi\) |
−0.687656 | + | 0.726037i | \(0.741360\pi\) | |||||||
\(578\) | −0.942433 | + | 19.7841i | −0.0392000 | + | 0.822910i | ||||
\(579\) | −4.36998 | + | 4.50578i | −0.181610 | + | 0.187254i | ||||
\(580\) | −1.95089 | − | 2.73965i | −0.0810064 | − | 0.113758i | ||||
\(581\) | 15.7284 | + | 6.29672i | 0.652526 | + | 0.261232i | ||||
\(582\) | −2.54056 | − | 3.28772i | −0.105309 | − | 0.136280i | ||||
\(583\) | −42.5040 | − | 21.9123i | −1.76034 | − | 0.907516i | ||||
\(584\) | −2.35973 | − | 5.16708i | −0.0976462 | − | 0.213815i | ||||
\(585\) | 0.598429 | + | 0.871359i | 0.0247420 | + | 0.0360263i | ||||
\(586\) | 2.33645 | − | 2.69641i | 0.0965180 | − | 0.111388i | ||||
\(587\) | −20.7769 | − | 4.00442i | −0.857556 | − | 0.165280i | −0.258523 | − | 0.966005i | \(-0.583236\pi\) |
−0.599032 | + | 0.800725i | \(0.704448\pi\) | |||||||
\(588\) | −3.29198 | + | 2.80388i | −0.135759 | + | 0.115630i | ||||
\(589\) | 2.96905 | + | 0.283510i | 0.122338 | + | 0.0116818i | ||||
\(590\) | 0.144376 | + | 3.03084i | 0.00594389 | + | 0.124778i | ||||
\(591\) | 11.7758 | − | 28.7049i | 0.484392 | − | 1.18076i | ||||
\(592\) | −6.78878 | + | 5.33875i | −0.279017 | + | 0.219421i | ||||
\(593\) | 0.227442 | − | 0.498028i | 0.00933991 | − | 0.0204516i | −0.904905 | − | 0.425615i | \(-0.860058\pi\) |
0.914244 | + | 0.405163i | \(0.132785\pi\) | |||||||
\(594\) | 21.1134 | − | 14.2375i | 0.866293 | − | 0.584174i | ||||
\(595\) | −5.54146 | − | 3.56128i | −0.227178 | − | 0.145998i | ||||
\(596\) | −1.42156 | + | 4.10732i | −0.0582293 | + | 0.168243i | ||||
\(597\) | −0.249758 | + | 2.39980i | −0.0102219 | + | 0.0982172i | ||||
\(598\) | 1.40766 | − | 4.58493i | 0.0575636 | − | 0.187492i | ||||
\(599\) | −2.78248 | + | 4.81940i | −0.113689 | + | 0.196915i | −0.917255 | − | 0.398301i | \(-0.869600\pi\) |
0.803566 | + | 0.595216i | \(0.202933\pi\) | |||||||
\(600\) | −7.65196 | − | 3.57346i | −0.312390 | − | 0.145886i | ||||
\(601\) | 0.466768 | − | 9.79866i | 0.0190399 | − | 0.399696i | −0.969151 | − | 0.246468i | \(-0.920730\pi\) |
0.988191 | − | 0.153228i | \(-0.0489669\pi\) | |||||||
\(602\) | 4.36816 | − | 30.3812i | 0.178033 | − | 1.23825i | ||||
\(603\) | 11.9874 | + | 27.4757i | 0.488165 | + | 1.11890i | ||||
\(604\) | 0.790321 | + | 5.49680i | 0.0321577 | + | 0.223662i | ||||
\(605\) | 1.08133 | + | 4.45732i | 0.0439625 | + | 0.181216i | ||||
\(606\) | 14.5343 | + | 0.816251i | 0.590416 | + | 0.0331579i | ||||
\(607\) | 28.1267 | + | 2.68578i | 1.14163 | + | 0.109012i | 0.648691 | − | 0.761052i | \(-0.275317\pi\) |
0.492938 | + | 0.870065i | \(0.335923\pi\) | |||||||
\(608\) | 0.346645 | − | 1.42889i | 0.0140583 | − | 0.0579492i | ||||
\(609\) | 49.6155 | − | 11.5909i | 2.01052 | − | 0.469686i | ||||
\(610\) | −1.50461 | − | 0.289990i | −0.0609198 | − | 0.0117413i | ||||
\(611\) | 0.538524 | − | 0.158125i | 0.0217864 | − | 0.00639705i | ||||
\(612\) | 17.3736 | + | 5.42385i | 0.702285 | + | 0.219246i | ||||
\(613\) | 1.74233 | − | 1.11973i | 0.0703722 | − | 0.0452254i | −0.504982 | − | 0.863130i | \(-0.668501\pi\) |
0.575354 | + | 0.817905i | \(0.304864\pi\) | |||||||
\(614\) | −3.98297 | − | 16.4180i | −0.160740 | − | 0.662578i | ||||
\(615\) | 3.07918 | + | 4.88207i | 0.124165 | + | 0.196864i | ||||
\(616\) | 8.76036 | + | 12.3022i | 0.352965 | + | 0.495670i | ||||
\(617\) | 13.6605 | + | 10.7428i | 0.549952 | + | 0.432487i | 0.854078 | − | 0.520144i | \(-0.174122\pi\) |
−0.304126 | + | 0.952632i | \(0.598364\pi\) | |||||||
\(618\) | 12.8986 | − | 16.1180i | 0.518856 | − | 0.648359i | ||||
\(619\) | −11.7498 | + | 33.9488i | −0.472264 | + | 1.36452i | 0.417741 | + | 0.908566i | \(0.362822\pi\) |
−0.890005 | + | 0.455951i | \(0.849299\pi\) | |||||||
\(620\) | 0.714698 | 0.0287030 | ||||||||
\(621\) | 4.47583 | − | 24.5146i | 0.179609 | − | 0.983738i | ||||
\(622\) | 10.6767 | 0.428096 | ||||||||
\(623\) | 3.81009 | − | 11.0085i | 0.152648 | − | 0.441048i | ||||
\(624\) | 1.08229 | − | 1.35242i | 0.0433263 | − | 0.0541402i | ||||
\(625\) | −18.1998 | − | 14.3125i | −0.727991 | − | 0.572498i | ||||
\(626\) | 2.68211 | + | 3.76649i | 0.107198 | + | 0.150539i | ||||
\(627\) | 6.65817 | + | 10.5566i | 0.265902 | + | 0.421589i | ||||
\(628\) | 4.00764 | + | 16.5197i | 0.159922 | + | 0.659208i | ||||
\(629\) | 44.0787 | − | 28.3277i | 1.75753 | − | 1.12950i | ||||
\(630\) | −2.39529 | + | 2.20738i | −0.0954305 | + | 0.0879441i | ||||
\(631\) | 2.88013 | − | 0.845681i | 0.114656 | − | 0.0336660i | −0.223901 | − | 0.974612i | \(-0.571879\pi\) |
0.338557 | + | 0.940946i | \(0.390061\pi\) | |||||||
\(632\) | −9.35235 | − | 1.80252i | −0.372017 | − | 0.0717003i | ||||
\(633\) | −37.0879 | + | 8.66426i | −1.47411 | + | 0.344373i | ||||
\(634\) | −1.98790 | + | 8.19424i | −0.0789496 | + | 0.325435i | ||||
\(635\) | 1.54452 | + | 0.147484i | 0.0612926 | + | 0.00585273i | ||||
\(636\) | −16.8740 | − | 0.947648i | −0.669097 | − | 0.0375767i | ||||
\(637\) | −0.588632 | − | 2.42638i | −0.0233225 | − | 0.0961365i | ||||
\(638\) | −6.65778 | − | 46.3059i | −0.263584 | − | 1.83327i | ||||
\(639\) | 21.5170 | − | 29.1543i | 0.851200 | − | 1.15333i | ||||
\(640\) | 0.0501420 | − | 0.348745i | 0.00198203 | − | 0.0137854i | ||||
\(641\) | −1.09095 | + | 22.9019i | −0.0430900 | + | 0.904570i | 0.869058 | + | 0.494709i | \(0.164726\pi\) |
−0.912148 | + | 0.409860i | \(0.865578\pi\) | |||||||
\(642\) | 21.6448 | + | 10.1081i | 0.854252 | + | 0.398935i | ||||
\(643\) | −2.94505 | + | 5.10098i | −0.116142 | + | 0.201163i | −0.918236 | − | 0.396035i | \(-0.870386\pi\) |
0.802094 | + | 0.597198i | \(0.203719\pi\) | |||||||
\(644\) | 14.6017 | + | 2.28283i | 0.575388 | + | 0.0899562i | ||||
\(645\) | 0.629189 | − | 6.04556i | 0.0247743 | − | 0.238044i | ||||
\(646\) | −2.91755 | + | 8.42970i | −0.114789 | + | 0.331662i | ||||
\(647\) | 16.4392 | + | 10.5648i | 0.646290 | + | 0.415346i | 0.822309 | − | 0.569041i | \(-0.192686\pi\) |
−0.176019 | + | 0.984387i | \(0.556322\pi\) | |||||||
\(648\) | 4.76240 | − | 7.63673i | 0.187085 | − | 0.299999i | ||||
\(649\) | −17.5329 | + | 38.3916i | −0.688226 | + | 1.50700i | ||||
\(650\) | 3.83294 | − | 3.01426i | 0.150340 | − | 0.118229i | ||||
\(651\) | −4.10937 | + | 10.0170i | −0.161059 | + | 0.392599i | ||||
\(652\) | −0.515025 | − | 10.8117i | −0.0201699 | − | 0.423419i | ||||
\(653\) | −44.5871 | − | 4.25755i | −1.74483 | − | 0.166611i | −0.826633 | − | 0.562741i | \(-0.809747\pi\) |
−0.918194 | + | 0.396130i | \(0.870353\pi\) | |||||||
\(654\) | 9.30957 | − | 7.92922i | 0.364033 | − | 0.310057i | ||||
\(655\) | 2.27748 | + | 0.438947i | 0.0889883 | + | 0.0171511i | ||||
\(656\) | 6.19389 | − | 7.14813i | 0.241831 | − | 0.279088i | ||||
\(657\) | 16.9892 | − | 1.33121i | 0.662810 | − | 0.0519355i | ||||
\(658\) | 0.718457 | + | 1.57320i | 0.0280084 | + | 0.0613298i | ||||
\(659\) | −11.6668 | − | 6.01465i | −0.454474 | − | 0.234297i | 0.215762 | − | 0.976446i | \(-0.430777\pi\) |
−0.670235 | + | 0.742149i | \(0.733807\pi\) | |||||||
\(660\) | 1.82870 | + | 2.36652i | 0.0711822 | + | 0.0921165i | ||||
\(661\) | −29.7893 | − | 11.9258i | −1.15867 | − | 0.463861i | −0.288918 | − | 0.957354i | \(-0.593296\pi\) |
−0.869750 | + | 0.493493i | \(0.835720\pi\) | |||||||
\(662\) | 9.18722 | + | 12.9016i | 0.357071 | + | 0.501436i | ||||
\(663\) | −7.31628 | + | 7.54363i | −0.284141 | + | 0.292970i | ||||
\(664\) | 0.261592 | − | 5.49148i | 0.0101517 | − | 0.213111i | ||||
\(665\) | −1.04544 | − | 1.20651i | −0.0405406 | − | 0.0467864i | ||||
\(666\) | −8.05669 | − | 24.6252i | −0.312190 | − | 0.954205i | ||||
\(667\) | −36.9622 | − | 27.0111i | −1.43118 | − | 1.04587i | ||||
\(668\) | 8.78736 | + | 15.2202i | 0.339993 | + | 0.588885i | ||||
\(669\) | −17.9988 | − | 8.40544i | −0.695874 | − | 0.324973i | ||||
\(670\) | −3.12923 | + | 1.61323i | −0.120893 | + | 0.0623245i | ||||
\(671\) | −16.7537 | − | 13.1753i | −0.646771 | − | 0.508626i | ||||
\(672\) | 4.59963 | + | 2.70799i | 0.177434 | + | 0.104463i | ||||
\(673\) | 0.952822 | − | 0.749307i | 0.0367286 | − | 0.0288837i | −0.599626 | − | 0.800280i | \(-0.704684\pi\) |
0.636355 | + | 0.771397i | \(0.280442\pi\) | |||||||
\(674\) | 24.4755 | + | 7.18666i | 0.942761 | + | 0.276820i | ||||
\(675\) | 17.9456 | − | 17.8845i | 0.690725 | − | 0.688375i | ||||
\(676\) | −4.98493 | − | 10.9155i | −0.191728 | − | 0.419826i | ||||
\(677\) | −8.74253 | − | 8.33598i | −0.336003 | − | 0.320378i | 0.503228 | − | 0.864154i | \(-0.332146\pi\) |
−0.839230 | + | 0.543776i | \(0.816994\pi\) | |||||||
\(678\) | 16.2301 | + | 17.3140i | 0.623313 | + | 0.664940i | ||||
\(679\) | 2.41783 | + | 6.98587i | 0.0927879 | + | 0.268093i | ||||
\(680\) | −0.503943 | + | 2.07728i | −0.0193253 | + | 0.0796602i | ||||
\(681\) | −1.22779 | − | 1.08230i | −0.0470491 | − | 0.0414738i | ||||
\(682\) | 8.83610 | + | 4.55532i | 0.338352 | + | 0.174432i | ||||
\(683\) | 48.9576 | + | 14.3752i | 1.87331 | + | 0.550053i | 0.997758 | + | 0.0669306i | \(0.0213206\pi\) |
0.875553 | + | 0.483123i | \(0.160498\pi\) | |||||||
\(684\) | 3.66970 | + | 2.44752i | 0.140314 | + | 0.0935833i | ||||
\(685\) | −1.64075 | + | 3.59275i | −0.0626900 | + | 0.137272i | ||||
\(686\) | −12.8838 | + | 5.15791i | −0.491907 | + | 0.196930i | ||||
\(687\) | −16.3482 | − | 41.8639i | −0.623724 | − | 1.59721i | ||||
\(688\) | −9.78012 | + | 1.88496i | −0.372863 | + | 0.0718635i | ||||
\(689\) | 4.87910 | − | 8.45085i | 0.185879 | − | 0.321952i | ||||
\(690\) | 2.90702 | + | 0.338694i | 0.110668 | + | 0.0128939i | ||||
\(691\) | −12.9789 | − | 22.4802i | −0.493742 | − | 0.855186i | 0.506232 | − | 0.862397i | \(-0.331038\pi\) |
−0.999974 | + | 0.00721095i | \(0.997705\pi\) | |||||||
\(692\) | −12.1396 | − | 14.0099i | −0.461480 | − | 0.532577i | ||||
\(693\) | −43.6832 | + | 12.0237i | −1.65939 | + | 0.456743i | ||||
\(694\) | −1.71256 | + | 11.9111i | −0.0650080 | + | 0.452141i | ||||
\(695\) | −6.56792 | + | 0.627160i | −0.249135 | + | 0.0237895i | ||||
\(696\) | −8.82027 | − | 13.9846i | −0.334331 | − | 0.530085i | ||||
\(697\) | −41.5294 | + | 39.5982i | −1.57304 | + | 1.49989i | ||||
\(698\) | 0.148335 | + | 3.11394i | 0.00561457 | + | 0.117864i | ||||
\(699\) | 4.18371 | − | 1.40828i | 0.158242 | − | 0.0532661i | ||||
\(700\) | 10.8746 | + | 10.3689i | 0.411022 | + | 0.391909i | ||||
\(701\) | −1.77743 | + | 2.05127i | −0.0671327 | + | 0.0774752i | −0.788322 | − | 0.615262i | \(-0.789050\pi\) |
0.721190 | + | 0.692738i | \(0.243596\pi\) | |||||||
\(702\) | 2.69704 | + | 4.44180i | 0.101793 | + | 0.167645i | ||||
\(703\) | 12.1842 | − | 3.57762i | 0.459538 | − | 0.134932i | ||||
\(704\) | 2.84275 | − | 3.99208i | 0.107140 | − | 0.150457i | ||||
\(705\) | 0.154344 | + | 0.305739i | 0.00581292 | + | 0.0115148i | ||||
\(706\) | −20.4607 | + | 19.5092i | −0.770049 | + | 0.734240i | ||||
\(707\) | −24.0448 | − | 9.62609i | −0.904299 | − | 0.362027i | ||||
\(708\) | −0.126810 | + | 14.9159i | −0.00476581 | + | 0.560572i | ||||
\(709\) | −23.7491 | + | 9.50770i | −0.891916 | + | 0.357069i | −0.771931 | − | 0.635706i | \(-0.780709\pi\) |
−0.119985 | + | 0.992776i | \(0.538285\pi\) | |||||||
\(710\) | 3.57999 | + | 2.30072i | 0.134355 | + | 0.0863445i | ||||
\(711\) | 14.7054 | − | 24.4988i | 0.551494 | − | 0.918778i | ||||
\(712\) | −3.78019 | −0.141669 | ||||||||
\(713\) | 9.23161 | − | 3.06863i | 0.345727 | − | 0.114921i | ||||
\(714\) | −26.2172 | − | 19.0071i | −0.981152 | − | 0.711323i | ||||
\(715\) | −1.69562 | + | 0.326803i | −0.0634124 | + | 0.0122217i | ||||
\(716\) | 4.70668 | − | 2.42646i | 0.175897 | − | 0.0906811i | ||||
\(717\) | −17.0645 | + | 17.5948i | −0.637286 | + | 0.657089i | ||||
\(718\) | −21.4224 | + | 2.04559i | −0.799478 | + | 0.0763409i | ||||
\(719\) | −2.57620 | − | 17.9179i | −0.0960760 | − | 0.668223i | −0.979765 | − | 0.200149i | \(-0.935857\pi\) |
0.883689 | − | 0.468074i | \(-0.155052\pi\) | |||||||
\(720\) | 0.931123 | + | 0.500246i | 0.0347009 | + | 0.0186431i | ||||
\(721\) | −30.8985 | + | 19.8573i | −1.15072 | + | 0.739523i | ||||
\(722\) | 9.76706 | − | 13.7159i | 0.363492 | − | 0.510454i | ||||
\(723\) | −8.43874 | + | 7.18752i | −0.313840 | + | 0.267307i | ||||
\(724\) | 0.910253 | + | 2.63000i | 0.0338293 | + | 0.0977433i | ||||
\(725\) | −15.2230 | − | 43.9841i | −0.565369 | − | 1.63353i | ||||
\(726\) | 4.07880 | + | 22.1757i | 0.151378 | + | 0.823016i | ||||
\(727\) | 13.7798 | − | 19.3510i | 0.511064 | − | 0.717689i | −0.475744 | − | 0.879584i | \(-0.657821\pi\) |
0.986808 | + | 0.161895i | \(0.0517605\pi\) | |||||||
\(728\) | −2.59262 | + | 1.66618i | −0.0960890 | + | 0.0617527i | ||||
\(729\) | 16.6178 | + | 21.2802i | 0.615476 | + | 0.788156i | ||||
\(730\) | 0.284827 | + | 1.98101i | 0.0105419 | + | 0.0733206i | ||||
\(731\) | 60.1528 | − | 5.74389i | 2.22483 | − | 0.212446i | ||||
\(732\) | −7.30504 | − | 1.83808i | −0.270002 | − | 0.0679374i | ||||
\(733\) | 44.0470 | − | 22.7078i | 1.62691 | − | 0.838732i | 0.628784 | − | 0.777580i | \(-0.283553\pi\) |
0.998128 | − | 0.0611517i | \(-0.0194773\pi\) | |||||||
\(734\) | −23.7837 | + | 4.58392i | −0.877871 | + | 0.169196i | ||||
\(735\) | 1.39121 | − | 0.621104i | 0.0513155 | − | 0.0229098i | ||||
\(736\) | −0.849698 | − | 4.71996i | −0.0313203 | − | 0.173980i | ||||
\(737\) | −48.9702 | −1.80384 | ||||||||
\(738\) | 13.7676 | + | 24.8111i | 0.506794 | + | 0.913310i | ||||
\(739\) | 5.22981 | + | 3.36099i | 0.192382 | + | 0.123636i | 0.633286 | − | 0.773918i | \(-0.281706\pi\) |
−0.440904 | + | 0.897554i | \(0.645342\pi\) | |||||||
\(740\) | 2.82495 | − | 1.13094i | 0.103847 | − | 0.0415742i | ||||
\(741\) | −2.21640 | + | 1.25464i | −0.0814215 | + | 0.0460903i | ||||
\(742\) | 27.9155 | + | 11.1757i | 1.02481 | + | 0.410271i | ||||
\(743\) | −28.8403 | + | 27.4991i | −1.05805 | + | 1.00885i | −0.0581017 | + | 0.998311i | \(0.518505\pi\) |
−0.999945 | + | 0.0105344i | \(0.996647\pi\) | |||||||
\(744\) | 3.50791 | + | 0.197005i | 0.128606 | + | 0.00722256i | ||||
\(745\) | 0.888277 | − | 1.24741i | 0.0325440 | − | 0.0457016i | ||||
\(746\) | −31.5350 | + | 9.25951i | −1.15458 | + | 0.339015i | ||||
\(747\) | 15.2053 | + | 6.38932i | 0.556331 | + | 0.233773i | ||||
\(748\) | −19.4706 | + | 22.4702i | −0.711915 | + | 0.821594i | ||||
\(749\) | −30.7606 | − | 29.3302i | −1.12397 | − | 1.07170i | ||||
\(750\) | 4.52103 | + | 3.98529i | 0.165085 | + | 0.145522i | ||||
\(751\) | 0.00591433 | + | 0.124157i | 0.000215817 | + | 0.00453056i | 0.998973 | − | 0.0453165i | \(-0.0144296\pi\) |
−0.998757 | + | 0.0498471i | \(0.984127\pi\) | |||||||
\(752\) | 0.406175 | − | 0.387288i | 0.0148117 | − | 0.0141229i | ||||
\(753\) | −40.7742 | + | 1.59502i | −1.48590 | + | 0.0581258i | ||||
\(754\) | 9.50319 | − | 0.907445i | 0.346086 | − | 0.0330472i | ||||
\(755\) | 0.278455 | − | 1.93670i | 0.0101340 | − | 0.0704836i | ||||
\(756\) | −12.3651 | + | 10.1741i | −0.449714 | + | 0.370028i | ||||
\(757\) | 7.23701 | + | 8.35196i | 0.263034 | + | 0.303557i | 0.871869 | − | 0.489740i | \(-0.162908\pi\) |
−0.608835 | + | 0.793297i | \(0.708363\pi\) | |||||||
\(758\) | −7.88668 | − | 13.6601i | −0.286457 | − | 0.496158i | ||||
\(759\) | 33.7819 | + | 22.7161i | 1.22620 | + | 0.824542i | ||||
\(760\) | −0.259023 | + | 0.448641i | −0.00939575 | + | 0.0162739i | ||||
\(761\) | 28.7537 | − | 5.54183i | 1.04232 | − | 0.200891i | 0.360766 | − | 0.932656i | \(-0.382515\pi\) |
0.681557 | + | 0.731765i | \(0.261303\pi\) | |||||||
\(762\) | 7.54024 | + | 1.14963i | 0.273154 | + | 0.0416468i | ||||
\(763\) | −20.1987 | + | 8.08633i | −0.731241 | + | 0.292745i | ||||
\(764\) | −1.72386 | + | 3.77472i | −0.0623670 | + | 0.136565i | ||||
\(765\) | −5.33491 | − | 3.55814i | −0.192884 | − | 0.128645i | ||||
\(766\) | 15.9067 | + | 4.67063i | 0.574733 | + | 0.168757i | ||||
\(767\) | −7.65515 | − | 3.94650i | −0.276411 | − | 0.142500i | ||||
\(768\) | 0.342240 | − | 1.69790i | 0.0123495 | − | 0.0612678i | ||||
\(769\) | 5.54738 | − | 22.8666i | 0.200044 | − | 0.824591i | −0.779995 | − | 0.625785i | \(-0.784779\pi\) |
0.980039 | − | 0.198806i | \(-0.0637062\pi\) | |||||||
\(770\) | −1.74037 | − | 5.02846i | −0.0627184 | − | 0.181213i | ||||
\(771\) | −22.2523 | + | 5.19844i | −0.801397 | + | 0.187217i | ||||
\(772\) | −2.62277 | − | 2.50080i | −0.0943955 | − | 0.0900059i | ||||
\(773\) | −11.3421 | − | 24.8356i | −0.407945 | − | 0.893276i | −0.996402 | − | 0.0847474i | \(-0.972992\pi\) |
0.588457 | − | 0.808529i | \(-0.299736\pi\) | |||||||
\(774\) | 4.75466 | − | 29.4996i | 0.170903 | − | 1.06034i | ||||
\(775\) | 9.48997 | + | 2.78651i | 0.340890 | + | 0.100094i | ||||
\(776\) | 1.88563 | − | 1.48287i | 0.0676901 | − | 0.0532321i | ||||
\(777\) | −0.391899 | + | 46.0966i | −0.0140593 | + | 1.65370i | ||||
\(778\) | −17.7713 | − | 13.9755i | −0.637132 | − | 0.501046i | ||||
\(779\) | −12.3610 | + | 6.37253i | −0.442878 | + | 0.228320i | ||||
\(780\) | −0.500124 | + | 0.349767i | −0.0179073 | + | 0.0125237i | ||||
\(781\) | 29.5966 | + | 51.2628i | 1.05905 | + | 1.83433i | ||||
\(782\) | 2.40969 | + | 28.9956i | 0.0861703 | + | 1.03688i | ||||
\(783\) | 48.4857 | − | 10.4609i | 1.73274 | − | 0.373842i | ||||
\(784\) | −1.63492 | − | 1.88680i | −0.0583900 | − | 0.0673856i | ||||
\(785\) | 0.284979 | − | 5.98245i | 0.0101714 | − | 0.213523i | ||||
\(786\) | 11.0574 | + | 2.78224i | 0.394404 | + | 0.0992393i | ||||
\(787\) | −6.74895 | − | 9.47758i | −0.240574 | − | 0.337839i | 0.676582 | − | 0.736367i | \(-0.263460\pi\) |
−0.917156 | + | 0.398528i | \(0.869521\pi\) | |||||||
\(788\) | 16.6300 | + | 6.65763i | 0.592418 | + | 0.237168i | ||||
\(789\) | −5.47686 | + | 0.739987i | −0.194982 | + | 0.0263442i | ||||
\(790\) | 2.98273 | + | 1.53770i | 0.106121 | + | 0.0547090i | ||||
\(791\) | −17.5402 | − | 38.4076i | −0.623656 | − | 1.36562i | ||||
\(792\) | 8.32338 | + | 12.1195i | 0.295759 | + | 0.430648i | ||||
\(793\) | 2.84820 | − | 3.28700i | 0.101142 | − | 0.116725i | ||||
\(794\) | 38.4903 | + | 7.41841i | 1.36597 | + | 0.263269i | ||||
\(795\) | 5.61034 | + | 1.99533i | 0.198978 | + | 0.0707669i | ||||
\(796\) | −1.38670 | − | 0.132414i | −0.0491503 | − | 0.00469328i | ||||
\(797\) | 1.87675 | + | 39.3978i | 0.0664779 | + | 1.39554i | 0.747978 | + | 0.663724i | \(0.231025\pi\) |
−0.681500 | + | 0.731818i | \(0.738672\pi\) | |||||||
\(798\) | −4.79872 | − | 6.21000i | −0.169873 | − | 0.219832i | ||||
\(799\) | −2.67639 | + | 2.10473i | −0.0946838 | + | 0.0744602i | ||||
\(800\) | 2.02551 | − | 4.43524i | 0.0716125 | − | 0.156809i | ||||
\(801\) | 3.89081 | − | 10.6522i | 0.137475 | − | 0.376378i | ||||
\(802\) | 2.75322 | + | 1.76939i | 0.0972195 | + | 0.0624792i | ||||
\(803\) | −9.10511 | + | 26.3075i | −0.321312 | + | 0.928371i | ||||
\(804\) | −15.8037 | + | 7.05555i | −0.557353 | + | 0.248830i | ||||
\(805\) | −4.70965 | − | 2.22115i | −0.165993 | − | 0.0782851i | ||||
\(806\) | −1.01431 | + | 1.75683i | −0.0357275 | + | 0.0618819i | ||||
\(807\) | 13.5485 | − | 9.47531i | 0.476931 | − | 0.333547i | ||||
\(808\) | −0.399907 | + | 8.39509i | −0.0140687 | + | 0.295338i | ||||
\(809\) | −1.52856 | + | 10.6314i | −0.0537414 | + | 0.373780i | 0.945147 | + | 0.326645i | \(0.105918\pi\) |
−0.998889 | + | 0.0471348i | \(0.984991\pi\) | |||||||
\(810\) | −2.36802 | + | 2.10894i | −0.0832037 | + | 0.0741004i | ||||
\(811\) | 4.89102 | + | 34.0178i | 0.171747 | + | 1.19453i | 0.875191 | + | 0.483777i | \(0.160735\pi\) |
−0.703444 | + | 0.710750i | \(0.748356\pi\) | |||||||
\(812\) | 6.93528 | + | 28.5876i | 0.243380 | + | 1.00323i | ||||
\(813\) | 2.53087 | + | 5.01340i | 0.0887616 | + | 0.175828i | ||||
\(814\) | 42.1343 | + | 4.02334i | 1.47681 | + | 0.141018i | ||||
\(815\) | −0.899095 | + | 3.70612i | −0.0314939 | + | 0.129820i | ||||
\(816\) | −3.04607 | + | 10.0569i | −0.106634 | + | 0.352062i | ||||
\(817\) | 14.3801 | + | 2.77153i | 0.503095 | + | 0.0969637i | ||||
\(818\) | 24.6841 | − | 7.24791i | 0.863059 | − | 0.253417i | ||||
\(819\) | −2.02665 | − | 9.02072i | −0.0708168 | − | 0.315209i | ||||
\(820\) | −2.80345 | + | 1.80167i | −0.0979006 | + | 0.0629169i | ||||
\(821\) | 3.73850 | + | 15.4103i | 0.130475 | + | 0.537824i | 0.999102 | + | 0.0423588i | \(0.0134872\pi\) |
−0.868628 | + | 0.495465i | \(0.834998\pi\) | |||||||
\(822\) | −9.04355 | + | 17.1818i | −0.315430 | + | 0.599285i | ||||
\(823\) | −30.8132 | − | 43.2711i | −1.07408 | − | 1.50834i | −0.844879 | − | 0.534958i | \(-0.820327\pi\) |
−0.229203 | − | 0.973379i | \(-0.573612\pi\) | |||||||
\(824\) | 9.36868 | + | 7.36761i | 0.326373 | + | 0.256663i | ||||
\(825\) | 15.0553 | + | 38.5531i | 0.524160 | + | 1.34225i | ||||
\(826\) | 8.68011 | − | 25.0795i | 0.302020 | − | 0.872629i | ||||
\(827\) | 45.8680 | 1.59499 | 0.797493 | − | 0.603328i | \(-0.206159\pi\) | ||||
0.797493 | + | 0.603328i | \(0.206159\pi\) | |||||||
\(828\) | 14.1750 | + | 2.46371i | 0.492615 | + | 0.0856197i | ||||
\(829\) | 38.6908 | 1.34379 | 0.671893 | − | 0.740648i | \(-0.265482\pi\) | ||||
0.671893 | + | 0.740648i | \(0.265482\pi\) | |||||||
\(830\) | −0.633536 | + | 1.83048i | −0.0219903 | + | 0.0635369i | ||||
\(831\) | −14.3694 | − | 2.19084i | −0.498467 | − | 0.0759995i | ||||
\(832\) | 0.786105 | + | 0.618200i | 0.0272533 | + | 0.0214322i | ||||
\(833\) | 8.78578 | + | 12.3379i | 0.304409 | + | 0.427483i | ||||
\(834\) | −32.4098 | + | 1.26782i | −1.12226 | + | 0.0439009i | ||||
\(835\) | −1.45985 | − | 6.01758i | −0.0505201 | − | 0.208247i | ||||
\(836\) | −6.06194 | + | 3.89577i | −0.209657 | + | 0.134738i | ||||
\(837\) | −4.16570 | + | 9.68220i | −0.143988 | + | 0.334666i | ||||
\(838\) | 2.46731 | − | 0.724466i | 0.0852316 | − | 0.0250263i | ||||
\(839\) | −50.8052 | − | 9.79191i | −1.75399 | − | 0.338054i | −0.791873 | − | 0.610685i | \(-0.790894\pi\) |
−0.962119 | + | 0.272631i | \(0.912106\pi\) | |||||||
\(840\) | −1.28614 | − | 1.37204i | −0.0443761 | − | 0.0473397i | ||||
\(841\) | 14.6458 | − | 60.3709i | 0.505028 | − | 2.08176i | ||||
\(842\) | −10.1071 | − | 0.965109i | −0.348313 | − | 0.0332599i | ||||
\(843\) | −6.36862 | + | 9.72694i | −0.219347 | + | 0.335014i | ||||
\(844\) | −5.18417 | − | 21.3694i | −0.178446 | − | 0.735566i | ||||
\(845\) | 0.601697 | + | 4.18489i | 0.0206990 | + | 0.143965i | ||||
\(846\) | 0.673280 | + | 1.54319i | 0.0231478 | + | 0.0530559i | ||||
\(847\) | 5.70920 | − | 39.7083i | 0.196170 | − | 1.36439i | ||||
\(848\) | 0.464283 | − | 9.74650i | 0.0159435 | − | 0.334696i | ||||
\(849\) | 1.42044 | + | 16.3426i | 0.0487494 | + | 0.560878i | ||||
\(850\) | −14.7905 | + | 25.6180i | −0.507311 | + | 0.878689i | ||||
\(851\) | 31.6335 | − | 26.7373i | 1.08438 | − | 0.916544i | ||||
\(852\) | 16.9373 | + | 12.2793i | 0.580261 | + | 0.420682i | ||||
\(853\) | 14.0994 | − | 40.7377i | 0.482756 | − | 1.39483i | −0.396304 | − | 0.918119i | \(-0.629707\pi\) |
0.879060 | − | 0.476712i | \(-0.158171\pi\) | |||||||
\(854\) | 11.2747 | + | 7.24578i | 0.385811 | + | 0.247945i | ||||
\(855\) | −0.997627 | − | 1.19167i | −0.0341181 | − | 0.0407544i | ||||
\(856\) | −5.72947 | + | 12.5458i | −0.195829 | + | 0.428806i | ||||
\(857\) | −29.7252 | + | 23.3762i | −1.01539 | + | 0.798515i | −0.979623 | − | 0.200845i | \(-0.935631\pi\) |
−0.0357709 | + | 0.999360i | \(0.511389\pi\) | |||||||
\(858\) | −8.41257 | + | 1.13663i | −0.287200 | + | 0.0388041i | ||||
\(859\) | 2.51934 | + | 52.8875i | 0.0859588 | + | 1.80450i | 0.471561 | + | 0.881833i | \(0.343691\pi\) |
−0.385603 | + | 0.922665i | \(0.626006\pi\) | |||||||
\(860\) | 3.49337 | + | 0.333576i | 0.119123 | + | 0.0113749i | ||||
\(861\) | −9.13250 | − | 49.6517i | −0.311235 | − | 1.69213i | ||||
\(862\) | −19.1181 | − | 3.68472i | −0.651166 | − | 0.125502i | ||||
\(863\) | −16.2312 | + | 18.7318i | −0.552517 | + | 0.637638i | −0.961468 | − | 0.274918i | \(-0.911349\pi\) |
0.408951 | + | 0.912556i | \(0.365895\pi\) | |||||||
\(864\) | 4.43228 | + | 2.71199i | 0.150789 | + | 0.0922637i | ||||
\(865\) | 2.71325 | + | 5.94120i | 0.0922534 | + | 0.202007i | ||||
\(866\) | 22.4366 | + | 11.5669i | 0.762426 | + | 0.393058i | ||||
\(867\) | 13.0205 | − | 31.7390i | 0.442200 | − | 1.07791i | ||||
\(868\) | −5.80331 | − | 2.32329i | −0.196977 | − | 0.0788577i | ||||
\(869\) | 27.0757 | + | 38.0225i | 0.918479 | + | 1.28982i | ||||
\(870\) | 1.59362 | + | 5.60315i | 0.0540287 | + | 0.189965i | ||||
\(871\) | 0.475483 | − | 9.98162i | 0.0161111 | − | 0.338214i | ||||
\(872\) | 4.62347 | + | 5.33577i | 0.156570 | + | 0.180692i | ||||
\(873\) | 2.23780 | + | 6.83980i | 0.0757381 | + | 0.231492i | ||||
\(874\) | −1.41946 | + | 6.90715i | −0.0480140 | + | 0.233638i | ||||
\(875\) | −5.36142 | − | 9.28625i | −0.181249 | − | 0.313933i | ||||
\(876\) | 0.851936 | + | 9.80181i | 0.0287842 | + | 0.331172i | ||||
\(877\) | −4.83307 | + | 2.49162i | −0.163201 | + | 0.0841361i | −0.537892 | − | 0.843014i | \(-0.680779\pi\) |
0.374691 | + | 0.927150i | \(0.377749\pi\) | |||||||
\(878\) | 5.04526 | + | 3.96764i | 0.170269 | + | 0.133901i | ||||
\(879\) | −5.37787 | + | 3.04425i | −0.181391 | + | 0.102680i | ||||
\(880\) | −1.35728 | + | 1.06738i | −0.0457540 | + | 0.0359813i | ||||
\(881\) | −32.5842 | − | 9.56760i | −1.09779 | − | 0.322341i | −0.317817 | − | 0.948152i | \(-0.602950\pi\) |
−0.779974 | + | 0.625812i | \(0.784768\pi\) | |||||||
\(882\) | 6.99959 | − | 2.66504i | 0.235688 | − | 0.0897367i | ||||
\(883\) | −11.2617 | − | 24.6597i | −0.378986 | − | 0.829864i | −0.998976 | − | 0.0452539i | \(-0.985590\pi\) |
0.619989 | − | 0.784610i | \(-0.287137\pi\) | |||||||
\(884\) | −4.39107 | − | 4.18688i | −0.147688 | − | 0.140820i | ||||
\(885\) | 1.52347 | − | 5.02986i | 0.0512107 | − | 0.169077i | ||||
\(886\) | −7.87766 | − | 22.7610i | −0.264655 | − | 0.764671i | ||||
\(887\) | 2.45098 | − | 10.1031i | 0.0822960 | − | 0.339229i | −0.915747 | − | 0.401755i | \(-0.868400\pi\) |
0.998043 | + | 0.0625260i | \(0.0199156\pi\) | |||||||
\(888\) | 14.1773 | − | 4.77223i | 0.475758 | − | 0.160146i | ||||
\(889\) | −12.0620 | − | 6.21840i | −0.404547 | − | 0.208559i | ||||
\(890\) | 1.27793 | + | 0.375234i | 0.0428363 | + | 0.0125779i | ||||
\(891\) | −42.7186 | + | 10.9804i | −1.43113 | + | 0.367857i | ||||
\(892\) | 4.76436 | − | 10.4325i | 0.159523 | − | 0.349306i | ||||
\(893\) | −0.766076 | + | 0.306691i | −0.0256358 | + | 0.0102630i | ||||
\(894\) | 4.70372 | − | 5.87774i | 0.157316 | − | 0.196581i | ||||
\(895\) | −1.83199 | + | 0.353088i | −0.0612368 | + | 0.0118024i | ||||
\(896\) | −1.54083 | + | 2.66879i | −0.0514754 | + | 0.0891580i | ||||
\(897\) | −4.95824 | + | 6.66521i | −0.165551 | + | 0.222545i | ||||
\(898\) | −5.98506 | − | 10.3664i | −0.199724 | − | 0.345932i | ||||
\(899\) | 12.6804 | + | 14.6339i | 0.422914 | + | 0.488069i | ||||
\(900\) | 10.4133 | + | 10.2727i | 0.347111 | + | 0.342424i | ||||
\(901\) | −8.42468 | + | 58.5949i | −0.280667 | + | 1.95208i | ||||
\(902\) | −46.1435 | + | 4.40617i | −1.53641 | + | 0.146710i | ||||
\(903\) | −24.7615 | + | 47.0443i | −0.824011 | + | 1.56553i | ||||
\(904\) | −9.91622 | + | 9.45510i | −0.329809 | + | 0.314472i | ||||
\(905\) | −0.0466570 | − | 0.979452i | −0.00155093 | − | 0.0325581i | ||||
\(906\) | 1.90057 | − | 9.42901i | 0.0631422 | − | 0.313258i | ||||
\(907\) | −22.1787 | − | 21.1473i | −0.736430 | − | 0.702185i | 0.225875 | − | 0.974156i | \(-0.427476\pi\) |
−0.962305 | + | 0.271972i | \(0.912324\pi\) | |||||||
\(908\) | 0.618817 | − | 0.714153i | 0.0205362 | − | 0.0237000i | ||||
\(909\) | −23.2450 | − | 9.76766i | −0.770988 | − | 0.323973i | ||||
\(910\) | 1.04185 | − | 0.305915i | 0.0345370 | − | 0.0101410i | ||||
\(911\) | 10.1302 | − | 14.2258i | 0.335628 | − | 0.471323i | −0.611928 | − | 0.790913i | \(-0.709606\pi\) |
0.947556 | + | 0.319590i | \(0.103545\pi\) | |||||||
\(912\) | −1.39501 | + | 2.13064i | −0.0461935 | + | 0.0705525i | ||||
\(913\) | −19.4997 | + | 18.5929i | −0.645347 | + | 0.615337i | ||||
\(914\) | 17.4062 | + | 6.96840i | 0.575746 | + | 0.230494i | ||||
\(915\) | 2.28708 | + | 1.34650i | 0.0756087 | + | 0.0445140i | ||||
\(916\) | 24.0890 | − | 9.64380i | 0.795924 | − | 0.318640i | ||||
\(917\) | −17.0661 | − | 10.9677i | −0.563571 | − | 0.362185i | ||||
\(918\) | −25.2042 | − | 18.9347i | −0.831863 | − | 0.624940i | ||||
\(919\) | −20.3616 | −0.671668 | −0.335834 | − | 0.941921i | \(-0.609018\pi\) | ||||
−0.335834 | + | 0.941921i | \(0.609018\pi\) | |||||||
\(920\) | −0.181270 | + | 1.67997i | −0.00597628 | + | 0.0553870i | ||||
\(921\) | −3.02904 | + | 29.1045i | −0.0998103 | + | 0.959027i | ||||
\(922\) | 34.8991 | − | 6.72626i | 1.14934 | − | 0.221518i | ||||
\(923\) | −10.7363 | + | 5.53494i | −0.353389 | + | 0.182185i | ||||
\(924\) | −7.15605 | − | 25.1606i | −0.235417 | − | 0.827723i | ||||
\(925\) | 41.9199 | − | 4.00287i | 1.37832 | − | 0.131613i | ||||
\(926\) | −1.49517 | − | 10.3991i | −0.0491343 | − | 0.341737i | ||||
\(927\) | −30.4041 | + | 18.8169i | −0.998602 | + | 0.618028i | ||||
\(928\) | 8.03043 | − | 5.16084i | 0.263612 | − | 0.169413i | ||||
\(929\) | −9.45414 | + | 13.2765i | −0.310180 | + | 0.435587i | −0.940010 | − | 0.341146i | \(-0.889185\pi\) |
0.629830 | + | 0.776733i | \(0.283124\pi\) | |||||||
\(930\) | −1.16633 | − | 0.414806i | −0.0382453 | − | 0.0136020i | ||||
\(931\) | 1.20061 | + | 3.46894i | 0.0393485 | + | 0.113690i | ||||
\(932\) | 0.833578 | + | 2.40846i | 0.0273047 | + | 0.0788919i | ||||
\(933\) | −17.4234 | − | 6.19667i | −0.570417 | − | 0.202870i | ||||
\(934\) | −6.59840 | + | 9.26616i | −0.215906 | + | 0.303198i | ||||
\(935\) | 8.81268 | − | 5.66356i | 0.288205 | − | 0.185218i | ||||
\(936\) | −2.55114 | + | 1.57888i | −0.0833867 | + | 0.0516074i | ||||
\(937\) | 2.73846 | + | 19.0464i | 0.0894615 | + | 0.622218i | 0.984389 | + | 0.176007i | \(0.0563180\pi\) |
−0.894927 | + | 0.446212i | \(0.852773\pi\) | |||||||
\(938\) | 30.6533 | − | 2.92704i | 1.00087 | − | 0.0955711i | ||||
\(939\) | −2.19092 | − | 7.70326i | −0.0714981 | − | 0.251387i | ||||
\(940\) | −0.175755 | + | 0.0906079i | −0.00573249 | + | 0.00295530i | ||||
\(941\) | 8.42023 | − | 1.62287i | 0.274491 | − | 0.0529039i | −0.0501478 | − | 0.998742i | \(-0.515969\pi\) |
0.324639 | + | 0.945838i | \(0.394757\pi\) | |||||||
\(942\) | 3.04780 | − | 29.2848i | 0.0993027 | − | 0.954149i | ||||
\(943\) | −28.4759 | + | 35.3087i | −0.927304 | + | 1.14981i | ||||
\(944\) | −8.61199 | −0.280296 | ||||||||
\(945\) | 5.19005 | − | 2.21205i | 0.168832 | − | 0.0719579i | ||||
\(946\) | 41.0637 | + | 26.3901i | 1.33510 | + | 0.858015i | ||||
\(947\) | −32.5755 | + | 13.0413i | −1.05856 | + | 0.423785i | −0.834625 | − | 0.550819i | \(-0.814316\pi\) |
−0.223938 | + | 0.974603i | \(0.571891\pi\) | |||||||
\(948\) | 14.2161 | + | 8.36960i | 0.461717 | + | 0.271832i | ||||
\(949\) | −5.27386 | − | 2.11134i | −0.171197 | − | 0.0685369i | ||||
\(950\) | −5.18857 | + | 4.94729i | −0.168339 | + | 0.160511i | ||||
\(951\) | 7.99996 | − | 12.2185i | 0.259416 | − | 0.396213i | ||||
\(952\) | 10.8447 | − | 15.2292i | 0.351478 | − | 0.493582i | ||||
\(953\) | −4.79420 | + | 1.40770i | −0.155299 | + | 0.0456000i | −0.358458 | − | 0.933546i | \(-0.616697\pi\) |
0.203159 | + | 0.979146i | \(0.434879\pi\) | |||||||
\(954\) | 26.9869 | + | 11.3400i | 0.873733 | + | 0.367147i | ||||
\(955\) | 0.957457 | − | 1.10496i | 0.0309826 | − | 0.0357558i | ||||
\(956\) | −10.2417 | − | 9.76548i | −0.331242 | − | 0.315838i | ||||
\(957\) | −16.0107 | + | 79.4313i | −0.517552 | + | 2.56765i | ||||
\(958\) | 1.03988 | + | 21.8297i | 0.0335969 | + | 0.705286i | ||||
\(959\) | 25.0019 | − | 23.8393i | 0.807354 | − | 0.769810i | ||||
\(960\) | −0.284236 | + | 0.540020i | −0.00917369 | + | 0.0174291i | ||||
\(961\) | 26.7635 | − | 2.55561i | 0.863339 | − | 0.0824389i | ||||
\(962\) | −1.22919 | + | 8.54920i | −0.0396306 | + | 0.275637i | ||||
\(963\) | −29.4558 | − | 29.0581i | −0.949199 | − | 0.936383i | ||||
\(964\) | −4.19098 | − | 4.83665i | −0.134983 | − | 0.155778i | ||||
\(965\) | 0.638414 | + | 1.10576i | 0.0205513 | + | 0.0355958i | ||||
\(966\) | −22.5038 | − | 12.2001i | −0.724048 | − | 0.392532i | ||||
\(967\) | 8.47498 | − | 14.6791i | 0.272537 | − | 0.472048i | −0.696974 | − | 0.717097i | \(-0.745471\pi\) |
0.969511 | + | 0.245049i | \(0.0788039\pi\) | |||||||
\(968\) | −12.7826 | + | 2.46365i | −0.410850 | + | 0.0791848i | ||||
\(969\) | 9.65372 | − | 12.0632i | 0.310122 | − | 0.387526i | ||||
\(970\) | −0.784649 | + | 0.314126i | −0.0251936 | + | 0.0100860i | ||||
\(971\) | 20.2176 | − | 44.2704i | 0.648814 | − | 1.42070i | −0.243774 | − | 0.969832i | \(-0.578386\pi\) |
0.892588 | − | 0.450873i | \(-0.148887\pi\) | |||||||
\(972\) | −12.2041 | + | 9.69842i | −0.391447 | + | 0.311077i | ||||
\(973\) | 55.3699 | + | 16.2581i | 1.77508 | + | 0.521209i | ||||
\(974\) | −13.6070 | − | 7.01488i | −0.435995 | − | 0.224771i | ||||
\(975\) | −8.00449 | + | 2.69440i | −0.256349 | + | 0.0862898i | ||||
\(976\) | 1.02532 | − | 4.22644i | 0.0328198 | − | 0.135285i | ||||
\(977\) | 3.81762 | + | 11.0303i | 0.122137 | + | 0.352890i | 0.989451 | − | 0.144871i | \(-0.0462767\pi\) |
−0.867314 | + | 0.497761i | \(0.834156\pi\) | |||||||
\(978\) | −5.43456 | + | 17.9427i | −0.173778 | + | 0.573744i | ||||
\(979\) | 13.4079 | + | 12.7844i | 0.428518 | + | 0.408591i | ||||
\(980\) | 0.365410 | + | 0.800136i | 0.0116726 | + | 0.0255594i | ||||
\(981\) | −19.7945 | + | 7.53661i | −0.631989 | + | 0.240625i | ||||
\(982\) | 30.7369 | + | 9.02516i | 0.980853 | + | 0.288004i | ||||
\(983\) | −8.04441 | + | 6.32620i | −0.256577 | + | 0.201774i | −0.738159 | − | 0.674627i | \(-0.764305\pi\) |
0.481582 | + | 0.876401i | \(0.340062\pi\) | |||||||
\(984\) | −14.2566 | + | 8.07024i | −0.454484 | + | 0.257270i | ||||
\(985\) | −4.96106 | − | 3.90142i | −0.158072 | − | 0.124310i | ||||
\(986\) | −51.4749 | + | 26.5372i | −1.63929 | + | 0.845115i | ||||
\(987\) | −0.259385 | − | 2.98432i | −0.00825633 | − | 0.0949918i | ||||
\(988\) | −0.735218 | − | 1.27343i | −0.0233904 | − | 0.0405134i | ||||
\(989\) | 46.5554 | − | 10.6904i | 1.48037 | − | 0.339935i | ||||
\(990\) | −1.61078 | − | 4.92332i | −0.0511939 | − | 0.156473i | ||||
\(991\) | −12.3442 | − | 14.2460i | −0.392127 | − | 0.452538i | 0.525019 | − | 0.851091i | \(-0.324058\pi\) |
−0.917146 | + | 0.398552i | \(0.869513\pi\) | |||||||
\(992\) | −0.0965191 | + | 2.02619i | −0.00306449 | + | 0.0643315i | ||||
\(993\) | −7.50473 | − | 26.3866i | −0.238155 | − | 0.837352i | ||||
\(994\) | −21.5903 | − | 30.3193i | −0.684802 | − | 0.961670i | ||||
\(995\) | 0.455643 | + | 0.182412i | 0.0144448 | + | 0.00578284i | ||||
\(996\) | −3.61411 | + | 8.80981i | −0.114518 | + | 0.279149i | ||||
\(997\) | 54.9969 | + | 28.3529i | 1.74177 | + | 0.897944i | 0.962512 | + | 0.271238i | \(0.0874329\pi\) |
0.779256 | + | 0.626706i | \(0.215597\pi\) | |||||||
\(998\) | 16.6871 | + | 36.5397i | 0.528222 | + | 1.15664i | ||||
\(999\) | −1.14443 | + | 44.8622i | −0.0362083 | + | 1.41938i |
(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 | 414.2.m.a.13.4 | ✓ | 240 | |
9.7 | even | 3 | inner | 414.2.m.a.151.8 | yes | 240 | |
23.16 | even | 11 | inner | 414.2.m.a.85.8 | yes | 240 | |
207.16 | even | 33 | inner | 414.2.m.a.223.4 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
414.2.m.a.13.4 | ✓ | 240 | 1.1 | even | 1 | trivial | |
414.2.m.a.85.8 | yes | 240 | 23.16 | even | 11 | inner | |
414.2.m.a.151.8 | yes | 240 | 9.7 | even | 3 | inner | |
414.2.m.a.223.4 | yes | 240 | 207.16 | even | 33 | inner |