Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [450,2,Mod(31,450)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(450, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([10, 12]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("450.31");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 450 = 2 \cdot 3^{2} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 450.q (of order \(15\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.59326809096\) |
Analytic rank: | \(0\) |
Dimension: | \(112\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{15})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 331.7 | ||
Character | \(\chi\) | \(=\) | 450.331 |
Dual form | 450.2.q.b.121.7 |
$q$-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 \(\left(\mathbb{Z}/450\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{2}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.978148 | − | 0.207912i | −0.691655 | − | 0.147016i | ||||
\(3\) | 0.0943161 | − | 1.72948i | 0.0544534 | − | 0.998516i | ||||
\(4\) | 0.913545 | + | 0.406737i | 0.456773 | + | 0.203368i | ||||
\(5\) | 1.33763 | − | 1.79186i | 0.598206 | − | 0.801342i | ||||
\(6\) | −0.451834 | + | 1.67208i | −0.184461 | + | 0.682623i | ||||
\(7\) | −2.20153 | + | 3.81317i | −0.832101 | + | 1.44124i | 0.0642674 | + | 0.997933i | \(0.479529\pi\) |
−0.896369 | + | 0.443309i | \(0.853804\pi\) | |||||||
\(8\) | −0.809017 | − | 0.587785i | −0.286031 | − | 0.207813i | ||||
\(9\) | −2.98221 | − | 0.326236i | −0.994070 | − | 0.108745i | ||||
\(10\) | −1.68095 | + | 1.47459i | −0.531562 | + | 0.466306i | ||||
\(11\) | −6.16005 | − | 1.30936i | −1.85733 | − | 0.394787i | −0.863370 | − | 0.504571i | \(-0.831651\pi\) |
−0.993955 | + | 0.109784i | \(0.964984\pi\) | |||||||
\(12\) | 0.789605 | − | 1.54160i | 0.227939 | − | 0.445021i | ||||
\(13\) | −2.72879 | + | 0.580021i | −0.756829 | + | 0.160869i | −0.570137 | − | 0.821550i | \(-0.693110\pi\) |
−0.186692 | + | 0.982419i | \(0.559777\pi\) | |||||||
\(14\) | 2.94623 | − | 3.27212i | 0.787412 | − | 0.874510i | ||||
\(15\) | −2.97282 | − | 2.48241i | −0.767579 | − | 0.640955i | ||||
\(16\) | 0.669131 | + | 0.743145i | 0.167283 | + | 0.185786i | ||||
\(17\) | 2.99716 | + | 2.17756i | 0.726917 | + | 0.528136i | 0.888587 | − | 0.458709i | \(-0.151688\pi\) |
−0.161670 | + | 0.986845i | \(0.551688\pi\) | |||||||
\(18\) | 2.84921 | + | 0.939143i | 0.671566 | + | 0.221358i | ||||
\(19\) | −5.85932 | − | 4.25704i | −1.34422 | − | 0.976633i | −0.999277 | − | 0.0380085i | \(-0.987899\pi\) |
−0.344942 | − | 0.938624i | \(-0.612101\pi\) | |||||||
\(20\) | 1.95080 | − | 1.09288i | 0.436212 | − | 0.244375i | ||||
\(21\) | 6.38716 | + | 4.16715i | 1.39379 | + | 0.909347i | ||||
\(22\) | 5.75321 | + | 2.56149i | 1.22659 | + | 0.546112i | ||||
\(23\) | 1.52056 | − | 1.68876i | 0.317060 | − | 0.352130i | −0.563457 | − | 0.826145i | \(-0.690529\pi\) |
0.880517 | + | 0.474015i | \(0.157196\pi\) | |||||||
\(24\) | −1.09287 | + | 1.34374i | −0.223080 | + | 0.274290i | ||||
\(25\) | −1.42149 | − | 4.79368i | −0.284298 | − | 0.958736i | ||||
\(26\) | 2.78975 | 0.547115 | ||||||||
\(27\) | −0.845489 | + | 5.12690i | −0.162714 | + | 0.986673i | ||||
\(28\) | −3.56216 | + | 2.58806i | −0.673184 | + | 0.489097i | ||||
\(29\) | −0.333134 | − | 3.16956i | −0.0618614 | − | 0.588572i | −0.980915 | − | 0.194439i | \(-0.937711\pi\) |
0.919053 | − | 0.394133i | \(-0.128955\pi\) | |||||||
\(30\) | 2.39173 | + | 3.04624i | 0.436669 | + | 0.556166i | ||||
\(31\) | 0.269662 | − | 2.56566i | 0.0484326 | − | 0.460806i | −0.943249 | − | 0.332088i | \(-0.892247\pi\) |
0.991681 | − | 0.128718i | \(-0.0410863\pi\) | |||||||
\(32\) | −0.500000 | − | 0.866025i | −0.0883883 | − | 0.153093i | ||||
\(33\) | −2.84550 | + | 10.5302i | −0.495339 | + | 1.83307i | ||||
\(34\) | −2.47892 | − | 2.75312i | −0.425131 | − | 0.472156i | ||||
\(35\) | 3.88781 | + | 9.04544i | 0.657159 | + | 1.52896i | ||||
\(36\) | −2.59169 | − | 1.51100i | −0.431949 | − | 0.251834i | ||||
\(37\) | −2.50011 | + | 7.69454i | −0.411015 | + | 1.26497i | 0.504752 | + | 0.863265i | \(0.331584\pi\) |
−0.915767 | + | 0.401710i | \(0.868416\pi\) | |||||||
\(38\) | 4.84619 | + | 5.38224i | 0.786155 | + | 0.873114i | ||||
\(39\) | 0.745768 | + | 4.77409i | 0.119418 | + | 0.764466i | ||||
\(40\) | −2.13539 | + | 0.663402i | −0.337635 | + | 0.104893i | ||||
\(41\) | −1.59122 | + | 0.338224i | −0.248506 | + | 0.0528217i | −0.330481 | − | 0.943813i | \(-0.607211\pi\) |
0.0819742 | + | 0.996634i | \(0.473877\pi\) | |||||||
\(42\) | −5.38119 | − | 5.40406i | −0.830335 | − | 0.833864i | ||||
\(43\) | 1.37060 | − | 2.37395i | 0.209014 | − | 0.362023i | −0.742390 | − | 0.669968i | \(-0.766308\pi\) |
0.951404 | + | 0.307945i | \(0.0996412\pi\) | |||||||
\(44\) | −5.09492 | − | 3.70168i | −0.768089 | − | 0.558049i | ||||
\(45\) | −4.57366 | + | 4.90730i | −0.681801 | + | 0.731538i | ||||
\(46\) | −1.83845 | + | 1.33571i | −0.271064 | + | 0.196940i | ||||
\(47\) | −0.591970 | − | 5.63222i | −0.0863477 | − | 0.821543i | −0.948900 | − | 0.315576i | \(-0.897802\pi\) |
0.862553 | − | 0.505967i | \(-0.168864\pi\) | |||||||
\(48\) | 1.34836 | − | 1.08716i | 0.194620 | − | 0.156918i | ||||
\(49\) | −6.19350 | − | 10.7275i | −0.884785 | − | 1.53249i | ||||
\(50\) | 0.393765 | + | 4.98447i | 0.0556868 | + | 0.704911i | ||||
\(51\) | 4.04873 | − | 4.97814i | 0.566936 | − | 0.697080i | ||||
\(52\) | −2.72879 | − | 0.580021i | −0.378415 | − | 0.0804345i | ||||
\(53\) | 8.11750 | − | 5.89771i | 1.11502 | − | 0.810113i | 0.131577 | − | 0.991306i | \(-0.457996\pi\) |
0.983448 | + | 0.181193i | \(0.0579959\pi\) | |||||||
\(54\) | 1.89296 | − | 4.83908i | 0.257599 | − | 0.658516i | ||||
\(55\) | −10.5861 | + | 9.28648i | −1.42742 | + | 1.25219i | ||||
\(56\) | 4.02240 | − | 1.79089i | 0.537516 | − | 0.239318i | ||||
\(57\) | −7.91510 | + | 9.73207i | −1.04838 | + | 1.28904i | ||||
\(58\) | −0.333134 | + | 3.16956i | −0.0437426 | + | 0.416183i | ||||
\(59\) | −4.16069 | + | 0.884383i | −0.541676 | + | 0.115137i | −0.470621 | − | 0.882336i | \(-0.655970\pi\) |
−0.0710553 | + | 0.997472i | \(0.522637\pi\) | |||||||
\(60\) | −1.70612 | − | 3.47695i | −0.220259 | − | 0.448872i | ||||
\(61\) | 2.16759 | + | 0.460736i | 0.277532 | + | 0.0589912i | 0.344575 | − | 0.938759i | \(-0.388023\pi\) |
−0.0670429 | + | 0.997750i | \(0.521356\pi\) | |||||||
\(62\) | −0.797199 | + | 2.45353i | −0.101244 | + | 0.311598i | ||||
\(63\) | 7.80942 | − | 10.6534i | 0.983895 | − | 1.34221i | ||||
\(64\) | 0.309017 | + | 0.951057i | 0.0386271 | + | 0.118882i | ||||
\(65\) | −2.61079 | + | 5.66544i | −0.323829 | + | 0.702712i | ||||
\(66\) | 4.97268 | − | 9.70848i | 0.612094 | − | 1.19503i | ||||
\(67\) | 0.101291 | − | 0.963722i | 0.0123747 | − | 0.117737i | −0.986591 | − | 0.163214i | \(-0.947814\pi\) |
0.998965 | + | 0.0454765i | \(0.0144806\pi\) | |||||||
\(68\) | 1.85234 | + | 3.20835i | 0.224630 | + | 0.389070i | ||||
\(69\) | −2.77726 | − | 2.78906i | −0.334343 | − | 0.335764i | ||||
\(70\) | −1.92220 | − | 9.65609i | −0.229746 | − | 1.15412i | ||||
\(71\) | −0.214902 | + | 0.156135i | −0.0255042 | + | 0.0185299i | −0.600464 | − | 0.799652i | \(-0.705018\pi\) |
0.574960 | + | 0.818181i | \(0.305018\pi\) | |||||||
\(72\) | 2.22090 | + | 2.01683i | 0.261736 | + | 0.237686i | ||||
\(73\) | 2.82249 | + | 8.68672i | 0.330347 | + | 1.01670i | 0.968969 | + | 0.247183i | \(0.0795048\pi\) |
−0.638622 | + | 0.769521i | \(0.720495\pi\) | |||||||
\(74\) | 4.04526 | − | 7.00659i | 0.470252 | − | 0.814500i | ||||
\(75\) | −8.42465 | + | 2.00632i | −0.972794 | + | 0.231670i | ||||
\(76\) | −3.62126 | − | 6.27220i | −0.415387 | − | 0.719471i | ||||
\(77\) | 18.5544 | − | 20.6067i | 2.11447 | − | 2.34835i | ||||
\(78\) | 0.263118 | − | 4.82482i | 0.0297923 | − | 0.546303i | ||||
\(79\) | 1.53404 | + | 14.5954i | 0.172593 | + | 1.64211i | 0.647493 | + | 0.762071i | \(0.275817\pi\) |
−0.474901 | + | 0.880039i | \(0.657516\pi\) | |||||||
\(80\) | 2.22666 | − | 0.204932i | 0.248948 | − | 0.0229121i | ||||
\(81\) | 8.78714 | + | 1.94581i | 0.976349 | + | 0.216201i | ||||
\(82\) | 1.62677 | 0.179646 | ||||||||
\(83\) | −2.29695 | + | 1.02267i | −0.252123 | + | 0.112252i | −0.528907 | − | 0.848680i | \(-0.677398\pi\) |
0.276784 | + | 0.960932i | \(0.410731\pi\) | |||||||
\(84\) | 4.14003 | + | 6.40478i | 0.451714 | + | 0.698818i | ||||
\(85\) | 7.91096 | − | 2.45770i | 0.858064 | − | 0.266575i | ||||
\(86\) | −1.83422 | + | 2.03711i | −0.197789 | + | 0.219667i | ||||
\(87\) | −5.51311 | + | 0.277209i | −0.591068 | + | 0.0297199i | ||||
\(88\) | 4.21396 | + | 4.68008i | 0.449210 | + | 0.498898i | ||||
\(89\) | −1.32722 | − | 4.08476i | −0.140685 | − | 0.432984i | 0.855746 | − | 0.517396i | \(-0.173099\pi\) |
−0.996431 | + | 0.0844126i | \(0.973099\pi\) | |||||||
\(90\) | 5.49400 | − | 3.84915i | 0.579119 | − | 0.405736i | ||||
\(91\) | 3.79580 | − | 11.6823i | 0.397907 | − | 1.22463i | ||||
\(92\) | 2.07598 | − | 0.924288i | 0.216436 | − | 0.0963637i | ||||
\(93\) | −4.41182 | − | 0.708357i | −0.457485 | − | 0.0734532i | ||||
\(94\) | −0.591970 | + | 5.63222i | −0.0610570 | + | 0.580919i | ||||
\(95\) | −15.4656 | + | 4.80470i | −1.58674 | + | 0.492952i | ||||
\(96\) | −1.54493 | + | 0.783060i | −0.157679 | + | 0.0799208i | ||||
\(97\) | −0.494663 | − | 4.70640i | −0.0502254 | − | 0.477863i | −0.990507 | − | 0.137464i | \(-0.956105\pi\) |
0.940281 | − | 0.340398i | \(-0.110562\pi\) | |||||||
\(98\) | 3.82779 | + | 11.7807i | 0.386665 | + | 1.19003i | ||||
\(99\) | 17.9434 | + | 5.91441i | 1.80338 | + | 0.594421i | ||||
\(100\) | 0.651169 | − | 4.95742i | 0.0651169 | − | 0.495742i | ||||
\(101\) | 5.11426 | − | 8.85816i | 0.508888 | − | 0.881419i | −0.491059 | − | 0.871126i | \(-0.663390\pi\) |
0.999947 | − | 0.0102932i | \(-0.00327650\pi\) | |||||||
\(102\) | −4.99527 | + | 4.02758i | −0.494606 | + | 0.398790i | ||||
\(103\) | −2.99475 | − | 1.33335i | −0.295082 | − | 0.131379i | 0.253856 | − | 0.967242i | \(-0.418301\pi\) |
−0.548938 | + | 0.835863i | \(0.684968\pi\) | |||||||
\(104\) | 2.54856 | + | 1.13469i | 0.249907 | + | 0.111266i | ||||
\(105\) | 16.0106 | − | 5.87076i | 1.56247 | − | 0.572927i | ||||
\(106\) | −9.16632 | + | 4.08111i | −0.890312 | + | 0.396392i | ||||
\(107\) | −1.63665 | −0.158221 | −0.0791106 | − | 0.996866i | \(-0.525208\pi\) | ||||
−0.0791106 | + | 0.996866i | \(0.525208\pi\) | |||||||
\(108\) | −2.85769 | + | 4.33977i | −0.274982 | + | 0.417594i | ||||
\(109\) | 4.91438 | − | 15.1249i | 0.470713 | − | 1.44870i | −0.380941 | − | 0.924599i | \(-0.624400\pi\) |
0.851654 | − | 0.524105i | \(-0.175600\pi\) | |||||||
\(110\) | 12.2855 | − | 6.88259i | 1.17138 | − | 0.656229i | ||||
\(111\) | 13.0718 | + | 5.04961i | 1.24072 | + | 0.479288i | ||||
\(112\) | −4.30685 | + | 0.915449i | −0.406959 | + | 0.0865018i | ||||
\(113\) | −14.1383 | + | 3.00518i | −1.33002 | + | 0.282704i | −0.817478 | − | 0.575960i | \(-0.804628\pi\) |
−0.512539 | + | 0.858664i | \(0.671295\pi\) | |||||||
\(114\) | 9.76555 | − | 7.87376i | 0.914627 | − | 0.737445i | ||||
\(115\) | −0.992056 | − | 4.98356i | −0.0925097 | − | 0.464720i | ||||
\(116\) | 0.984843 | − | 3.03103i | 0.0914403 | − | 0.281424i | ||||
\(117\) | 8.32703 | − | 0.839517i | 0.769835 | − | 0.0776134i | ||||
\(118\) | 4.25365 | 0.391580 | ||||||||
\(119\) | −14.9017 | + | 6.63468i | −1.36604 | + | 0.608200i | ||||
\(120\) | 0.945939 | + | 3.75569i | 0.0863520 | + | 0.342846i | ||||
\(121\) | 26.1828 | + | 11.6573i | 2.38026 | + | 1.05976i | ||||
\(122\) | −2.02443 | − | 0.901336i | −0.183284 | − | 0.0816031i | ||||
\(123\) | 0.434874 | + | 2.78388i | 0.0392113 | + | 0.251014i | ||||
\(124\) | 1.28990 | − | 2.23416i | 0.115836 | − | 0.200634i | ||||
\(125\) | −10.4910 | − | 3.86507i | −0.938344 | − | 0.345702i | ||||
\(126\) | −9.85374 | + | 8.79697i | −0.877841 | + | 0.783696i | ||||
\(127\) | −1.80555 | − | 5.55691i | −0.160217 | − | 0.493096i | 0.838435 | − | 0.545001i | \(-0.183471\pi\) |
−0.998652 | + | 0.0519049i | \(0.983471\pi\) | |||||||
\(128\) | −0.104528 | − | 0.994522i | −0.00923910 | − | 0.0879041i | ||||
\(129\) | −3.97642 | − | 2.59432i | −0.350105 | − | 0.228418i | ||||
\(130\) | 3.73165 | − | 4.99883i | 0.327288 | − | 0.438426i | ||||
\(131\) | 1.17707 | − | 11.1990i | 0.102841 | − | 0.978465i | −0.814447 | − | 0.580239i | \(-0.802959\pi\) |
0.917287 | − | 0.398226i | \(-0.130374\pi\) | |||||||
\(132\) | −6.88252 | + | 8.46245i | −0.599046 | + | 0.736561i | ||||
\(133\) | 29.1323 | − | 12.9705i | 2.52609 | − | 1.12469i | ||||
\(134\) | −0.299447 | + | 0.921603i | −0.0258683 | + | 0.0796144i | ||||
\(135\) | 8.05572 | + | 8.37290i | 0.693326 | + | 0.720624i | ||||
\(136\) | −1.14481 | − | 3.52337i | −0.0981668 | − | 0.302126i | ||||
\(137\) | −6.16279 | − | 6.84447i | −0.526523 | − | 0.584763i | 0.419950 | − | 0.907547i | \(-0.362048\pi\) |
−0.946472 | + | 0.322785i | \(0.895381\pi\) | |||||||
\(138\) | 2.13669 | + | 3.30554i | 0.181887 | + | 0.281386i | ||||
\(139\) | 0.0362960 | − | 0.0403108i | 0.00307859 | − | 0.00341912i | −0.741604 | − | 0.670838i | \(-0.765934\pi\) |
0.744682 | + | 0.667419i | \(0.232601\pi\) | |||||||
\(140\) | −0.127423 | + | 9.84473i | −0.0107692 | + | 0.832032i | ||||
\(141\) | −9.79665 | + | 0.492592i | −0.825026 | + | 0.0414837i | ||||
\(142\) | 0.242668 | − | 0.108043i | 0.0203643 | − | 0.00906676i | ||||
\(143\) | 17.5689 | 1.46919 | ||||||||
\(144\) | −1.75305 | − | 2.43451i | −0.146087 | − | 0.202876i | ||||
\(145\) | −6.12500 | − | 3.64277i | −0.508654 | − | 0.302516i | ||||
\(146\) | −0.954737 | − | 9.08372i | −0.0790146 | − | 0.751774i | ||||
\(147\) | −19.1371 | + | 9.69977i | −1.57840 | + | 0.800023i | ||||
\(148\) | −5.41361 | + | 6.01243i | −0.444996 | + | 0.494218i | ||||
\(149\) | 0.997925 | + | 1.72846i | 0.0817532 | + | 0.141601i | 0.904003 | − | 0.427526i | \(-0.140615\pi\) |
−0.822250 | + | 0.569127i | \(0.807281\pi\) | |||||||
\(150\) | 8.65769 | − | 0.210893i | 0.706897 | − | 0.0172194i | ||||
\(151\) | −1.40712 | + | 2.43720i | −0.114510 | + | 0.198336i | −0.917584 | − | 0.397543i | \(-0.869863\pi\) |
0.803074 | + | 0.595879i | \(0.203196\pi\) | |||||||
\(152\) | 2.23806 | + | 6.88804i | 0.181531 | + | 0.558694i | ||||
\(153\) | −8.22775 | − | 7.47172i | −0.665174 | − | 0.604053i | ||||
\(154\) | −22.4333 | + | 16.2987i | −1.80773 | + | 1.31339i | ||||
\(155\) | −4.23658 | − | 3.91510i | −0.340290 | − | 0.314468i | ||||
\(156\) | −1.26050 | + | 4.66468i | −0.100921 | + | 0.373473i | ||||
\(157\) | −8.55662 | − | 14.8205i | −0.682893 | − | 1.18281i | −0.974094 | − | 0.226143i | \(-0.927388\pi\) |
0.291201 | − | 0.956662i | \(-0.405945\pi\) | |||||||
\(158\) | 1.53404 | − | 14.5954i | 0.122042 | − | 1.16115i | ||||
\(159\) | −9.43437 | − | 14.5953i | −0.748194 | − | 1.15748i | ||||
\(160\) | −2.22061 | − | 0.262494i | −0.175554 | − | 0.0207520i | ||||
\(161\) | 3.09194 | + | 9.51602i | 0.243679 | + | 0.749968i | ||||
\(162\) | −8.19056 | − | 3.73024i | −0.643512 | − | 0.293075i | ||||
\(163\) | −3.48748 | + | 10.7333i | −0.273160 | + | 0.840701i | 0.716540 | + | 0.697546i | \(0.245725\pi\) |
−0.989700 | + | 0.143155i | \(0.954275\pi\) | |||||||
\(164\) | −1.59122 | − | 0.338224i | −0.124253 | − | 0.0264108i | ||||
\(165\) | 15.0624 | + | 19.1842i | 1.17260 | + | 1.49349i | ||||
\(166\) | 2.45938 | − | 0.522758i | 0.190885 | − | 0.0405739i | ||||
\(167\) | −0.275312 | + | 2.61942i | −0.0213043 | + | 0.202697i | −0.999997 | − | 0.00263594i | \(-0.999161\pi\) |
0.978692 | + | 0.205333i | \(0.0658276\pi\) | |||||||
\(168\) | −2.71793 | − | 7.12558i | −0.209693 | − | 0.549750i | ||||
\(169\) | −4.76624 | + | 2.12207i | −0.366634 | + | 0.163236i | ||||
\(170\) | −8.24907 | + | 0.759210i | −0.632675 | + | 0.0582287i | ||||
\(171\) | 16.0849 | + | 14.6069i | 1.23004 | + | 1.11702i | ||||
\(172\) | 2.21767 | − | 1.61123i | 0.169096 | − | 0.122856i | ||||
\(173\) | −11.2422 | − | 2.38961i | −0.854731 | − | 0.181679i | −0.240348 | − | 0.970687i | \(-0.577262\pi\) |
−0.614383 | + | 0.789008i | \(0.710595\pi\) | |||||||
\(174\) | 5.45027 | + | 0.875089i | 0.413184 | + | 0.0663404i | ||||
\(175\) | 21.4086 | + | 5.13307i | 1.61834 | + | 0.388023i | ||||
\(176\) | −3.14884 | − | 5.45394i | −0.237352 | − | 0.411106i | ||||
\(177\) | 1.13710 | + | 7.27925i | 0.0854699 | + | 0.547142i | ||||
\(178\) | 0.448947 | + | 4.27144i | 0.0336500 | + | 0.320158i | ||||
\(179\) | 11.0072 | − | 7.99719i | 0.822716 | − | 0.597738i | −0.0947734 | − | 0.995499i | \(-0.530213\pi\) |
0.917489 | + | 0.397761i | \(0.130213\pi\) | |||||||
\(180\) | −6.17423 | + | 2.62277i | −0.460200 | + | 0.195490i | ||||
\(181\) | 4.55368 | + | 3.30844i | 0.338472 | + | 0.245915i | 0.744017 | − | 0.668161i | \(-0.232918\pi\) |
−0.405545 | + | 0.914075i | \(0.632918\pi\) | |||||||
\(182\) | −6.14173 | + | 10.6378i | −0.455255 | + | 0.788525i | ||||
\(183\) | 1.00127 | − | 3.70536i | 0.0740163 | − | 0.273908i | ||||
\(184\) | −2.22279 | + | 0.472468i | −0.163866 | + | 0.0348308i | ||||
\(185\) | 10.4433 | + | 14.7723i | 0.767805 | + | 1.08608i | ||||
\(186\) | 4.16814 | + | 1.61015i | 0.305623 | + | 0.118062i | ||||
\(187\) | −15.6114 | − | 17.3382i | −1.14162 | − | 1.26790i | ||||
\(188\) | 1.75004 | − | 5.38606i | 0.127635 | − | 0.392819i | ||||
\(189\) | −17.6884 | − | 14.5110i | −1.28664 | − | 1.05552i | ||||
\(190\) | 16.1266 | − | 1.48422i | 1.16995 | − | 0.107677i | ||||
\(191\) | −5.36715 | − | 5.96082i | −0.388353 | − | 0.431310i | 0.516989 | − | 0.855992i | \(-0.327053\pi\) |
−0.905343 | + | 0.424682i | \(0.860386\pi\) | |||||||
\(192\) | 1.67398 | − | 0.444739i | 0.120809 | − | 0.0320963i | ||||
\(193\) | 6.60668 | + | 11.4431i | 0.475559 | + | 0.823693i | 0.999608 | − | 0.0279954i | \(-0.00891238\pi\) |
−0.524049 | + | 0.851688i | \(0.675579\pi\) | |||||||
\(194\) | −0.494663 | + | 4.70640i | −0.0355147 | + | 0.337900i | ||||
\(195\) | 9.55204 | + | 5.04966i | 0.684036 | + | 0.361614i | ||||
\(196\) | −1.29479 | − | 12.3191i | −0.0924853 | − | 0.879938i | ||||
\(197\) | −20.2843 | + | 14.7374i | −1.44520 | + | 1.05000i | −0.458275 | + | 0.888810i | \(0.651533\pi\) |
−0.986924 | + | 0.161188i | \(0.948467\pi\) | |||||||
\(198\) | −16.3216 | − | 9.51581i | −1.15993 | − | 0.676259i | ||||
\(199\) | −17.5437 | −1.24364 | −0.621821 | − | 0.783160i | \(-0.713607\pi\) | ||||
−0.621821 | + | 0.783160i | \(0.713607\pi\) | |||||||
\(200\) | −1.66764 | + | 4.71370i | −0.117920 | + | 0.333309i | ||||
\(201\) | −1.65719 | − | 0.266076i | −0.116889 | − | 0.0187675i | ||||
\(202\) | −6.84421 | + | 7.60127i | −0.481557 | + | 0.534823i | ||||
\(203\) | 12.8195 | + | 5.70759i | 0.899750 | + | 0.400594i | ||||
\(204\) | 5.72349 | − | 2.90099i | 0.400725 | − | 0.203110i | ||||
\(205\) | −1.52241 | + | 3.30365i | −0.106330 | + | 0.230737i | ||||
\(206\) | 2.65209 | + | 1.92686i | 0.184780 | + | 0.134250i | ||||
\(207\) | −5.08557 | + | 4.54017i | −0.353472 | + | 0.315563i | ||||
\(208\) | −2.25695 | − | 1.63977i | −0.156492 | − | 0.113698i | ||||
\(209\) | 30.5197 | + | 33.8956i | 2.11109 | + | 2.34460i | ||||
\(210\) | −16.8813 | + | 2.41368i | −1.16492 | + | 0.166560i | ||||
\(211\) | −2.24130 | + | 2.48921i | −0.154297 | + | 0.171365i | −0.815338 | − | 0.578986i | \(-0.803449\pi\) |
0.661040 | + | 0.750351i | \(0.270115\pi\) | |||||||
\(212\) | 9.81452 | − | 2.08614i | 0.674064 | − | 0.143277i | ||||
\(213\) | 0.249765 | + | 0.386395i | 0.0171136 | + | 0.0264754i | ||||
\(214\) | 1.60089 | + | 0.340279i | 0.109434 | + | 0.0232610i | ||||
\(215\) | −2.42041 | − | 5.63138i | −0.165071 | − | 0.384057i | ||||
\(216\) | 3.69753 | − | 3.65079i | 0.251585 | − | 0.248405i | ||||
\(217\) | 9.18962 | + | 6.67665i | 0.623832 | + | 0.453240i | ||||
\(218\) | −7.95164 | + | 13.7726i | −0.538553 | + | 0.932801i | ||||
\(219\) | 15.2897 | − | 4.06214i | 1.03318 | − | 0.274494i | ||||
\(220\) | −13.4480 | + | 4.17789i | −0.906664 | + | 0.281673i | ||||
\(221\) | −9.44163 | − | 4.20368i | −0.635113 | − | 0.282770i | ||||
\(222\) | −11.7362 | − | 7.65703i | −0.787685 | − | 0.513906i | ||||
\(223\) | −20.2529 | − | 4.30488i | −1.35623 | − | 0.288276i | −0.528279 | − | 0.849071i | \(-0.677162\pi\) |
−0.827955 | + | 0.560795i | \(0.810496\pi\) | |||||||
\(224\) | 4.40307 | 0.294192 | ||||||||
\(225\) | 2.67531 | + | 14.7595i | 0.178354 | + | 0.983966i | ||||
\(226\) | 14.4541 | 0.961474 | ||||||||
\(227\) | 6.05563 | + | 1.28716i | 0.401926 | + | 0.0854320i | 0.404439 | − | 0.914565i | \(-0.367467\pi\) |
−0.00251324 | + | 0.999997i | \(0.500800\pi\) | |||||||
\(228\) | −11.1892 | + | 5.67133i | −0.741023 | + | 0.375593i | ||||
\(229\) | 6.32995 | + | 2.81828i | 0.418295 | + | 0.186237i | 0.605081 | − | 0.796164i | \(-0.293141\pi\) |
−0.186786 | + | 0.982401i | \(0.559807\pi\) | |||||||
\(230\) | −0.0657638 | + | 5.08092i | −0.00433633 | + | 0.335026i | ||||
\(231\) | −33.8889 | − | 34.0330i | −2.22973 | − | 2.23921i | ||||
\(232\) | −1.59351 | + | 2.76004i | −0.104619 | + | 0.181205i | ||||
\(233\) | −11.2164 | − | 8.14920i | −0.734812 | − | 0.533872i | 0.156270 | − | 0.987714i | \(-0.450053\pi\) |
−0.891082 | + | 0.453842i | \(0.850053\pi\) | |||||||
\(234\) | −8.31961 | − | 0.910116i | −0.543870 | − | 0.0594961i | ||||
\(235\) | −10.8840 | − | 6.47310i | −0.709991 | − | 0.422259i | ||||
\(236\) | −4.16069 | − | 0.884383i | −0.270838 | − | 0.0575684i | ||||
\(237\) | 25.3871 | − | 1.27651i | 1.64907 | − | 0.0829182i | ||||
\(238\) | 15.9555 | − | 3.39145i | 1.03424 | − | 0.219835i | ||||
\(239\) | 2.19517 | − | 2.43799i | 0.141994 | − | 0.157700i | −0.667953 | − | 0.744204i | \(-0.732829\pi\) |
0.809947 | + | 0.586503i | \(0.199496\pi\) | |||||||
\(240\) | −0.144417 | − | 3.87029i | −0.00932205 | − | 0.249826i | ||||
\(241\) | −3.36395 | − | 3.73604i | −0.216691 | − | 0.240660i | 0.624993 | − | 0.780630i | \(-0.285102\pi\) |
−0.841684 | + | 0.539971i | \(0.818435\pi\) | |||||||
\(242\) | −23.1870 | − | 16.8463i | −1.49051 | − | 1.08292i | ||||
\(243\) | 4.19400 | − | 15.0137i | 0.269045 | − | 0.963127i | ||||
\(244\) | 1.79280 | + | 1.30254i | 0.114772 | + | 0.0833868i | ||||
\(245\) | −27.5067 | − | 3.25152i | −1.75734 | − | 0.207732i | ||||
\(246\) | 0.153430 | − | 2.81346i | 0.00978235 | − | 0.179380i | ||||
\(247\) | 18.4580 | + | 8.21803i | 1.17445 | + | 0.522901i | ||||
\(248\) | −1.72622 | + | 1.91716i | −0.109615 | + | 0.121740i | ||||
\(249\) | 1.55205 | + | 4.06899i | 0.0983569 | + | 0.257861i | ||||
\(250\) | 9.45816 | + | 5.96181i | 0.598187 | + | 0.377058i | ||||
\(251\) | −11.5698 | −0.730279 | −0.365139 | − | 0.930953i | \(-0.618979\pi\) | ||||
−0.365139 | + | 0.930953i | \(0.618979\pi\) | |||||||
\(252\) | 11.4674 | − | 6.55603i | 0.722379 | − | 0.412991i | ||||
\(253\) | −11.5779 | + | 8.41187i | −0.727899 | + | 0.528850i | ||||
\(254\) | 0.610747 | + | 5.81087i | 0.0383217 | + | 0.364607i | ||||
\(255\) | −3.50441 | − | 13.9137i | −0.219455 | − | 0.871307i | ||||
\(256\) | −0.104528 | + | 0.994522i | −0.00653303 | + | 0.0621576i | ||||
\(257\) | −9.60984 | − | 16.6447i | −0.599446 | − | 1.03827i | −0.992903 | − | 0.118927i | \(-0.962054\pi\) |
0.393457 | − | 0.919343i | \(-0.371279\pi\) | |||||||
\(258\) | 3.35014 | + | 3.36438i | 0.208571 | + | 0.209457i | ||||
\(259\) | −23.8365 | − | 26.4731i | −1.48113 | − | 1.64496i | ||||
\(260\) | −4.68942 | + | 4.11374i | −0.290826 | + | 0.255123i | ||||
\(261\) | −0.0405481 | + | 9.56097i | −0.00250987 | + | 0.591809i | ||||
\(262\) | −3.47976 | + | 10.7096i | −0.214980 | + | 0.661641i | ||||
\(263\) | 11.5182 | + | 12.7923i | 0.710243 | + | 0.788805i | 0.984972 | − | 0.172717i | \(-0.0552545\pi\) |
−0.274728 | + | 0.961522i | \(0.588588\pi\) | |||||||
\(264\) | 8.49156 | − | 6.84657i | 0.522619 | − | 0.421377i | ||||
\(265\) | 0.290374 | − | 22.4343i | 0.0178375 | − | 1.37813i | ||||
\(266\) | −31.1924 | + | 6.63015i | −1.91253 | + | 0.406521i | ||||
\(267\) | −7.18969 | + | 1.91014i | −0.440002 | + | 0.116899i | ||||
\(268\) | 0.484515 | − | 0.839205i | 0.0295965 | − | 0.0512626i | ||||
\(269\) | −0.567956 | − | 0.412644i | −0.0346289 | − | 0.0251594i | 0.570336 | − | 0.821411i | \(-0.306813\pi\) |
−0.604965 | + | 0.796252i | \(0.706813\pi\) | |||||||
\(270\) | −6.13886 | − | 9.86481i | −0.373599 | − | 0.600353i | ||||
\(271\) | −2.00286 | + | 1.45516i | −0.121665 | + | 0.0883949i | −0.646954 | − | 0.762529i | \(-0.723957\pi\) |
0.525289 | + | 0.850924i | \(0.323957\pi\) | |||||||
\(272\) | 0.387245 | + | 3.68439i | 0.0234802 | + | 0.223399i | ||||
\(273\) | −19.8462 | − | 7.66658i | −1.20115 | − | 0.464003i | ||||
\(274\) | 4.60507 | + | 7.97622i | 0.278203 | + | 0.481861i | ||||
\(275\) | 2.47980 | + | 31.3906i | 0.149538 | + | 1.89292i | ||||
\(276\) | −1.40274 | − | 3.67755i | −0.0844350 | − | 0.221363i | ||||
\(277\) | 24.8793 | + | 5.28825i | 1.49485 | + | 0.317740i | 0.881543 | − | 0.472104i | \(-0.156505\pi\) |
0.613307 | + | 0.789844i | \(0.289839\pi\) | |||||||
\(278\) | −0.0438840 | + | 0.0318836i | −0.00263199 | + | 0.00191225i | ||||
\(279\) | −1.64120 | + | 7.56336i | −0.0982559 | + | 0.452806i | ||||
\(280\) | 2.17147 | − | 9.60311i | 0.129770 | − | 0.573895i | ||||
\(281\) | −15.6622 | + | 6.97326i | −0.934328 | + | 0.415990i | −0.816696 | − | 0.577067i | \(-0.804197\pi\) |
−0.117632 | + | 0.993057i | \(0.537530\pi\) | |||||||
\(282\) | 9.68498 | + | 1.55501i | 0.576732 | + | 0.0925995i | ||||
\(283\) | −0.861105 | + | 8.19286i | −0.0511874 | + | 0.487015i | 0.938656 | + | 0.344854i | \(0.112072\pi\) |
−0.989844 | + | 0.142161i | \(0.954595\pi\) | |||||||
\(284\) | −0.259829 | + | 0.0552283i | −0.0154180 | + | 0.00327720i | ||||
\(285\) | 6.85098 | + | 27.2006i | 0.405817 | + | 1.61123i | ||||
\(286\) | −17.1850 | − | 3.65278i | −1.01617 | − | 0.215994i | ||||
\(287\) | 2.21341 | − | 6.81219i | 0.130654 | − | 0.402111i | ||||
\(288\) | 1.20858 | + | 2.74579i | 0.0712160 | + | 0.161797i | ||||
\(289\) | −1.01212 | − | 3.11498i | −0.0595364 | − | 0.183234i | ||||
\(290\) | 5.23378 | + | 4.83663i | 0.307338 | + | 0.284016i | ||||
\(291\) | −8.18629 | + | 0.411621i | −0.479889 | + | 0.0241296i | ||||
\(292\) | −0.954737 | + | 9.08372i | −0.0558718 | + | 0.531584i | ||||
\(293\) | −3.49136 | − | 6.04720i | −0.203967 | − | 0.353281i | 0.745836 | − | 0.666130i | \(-0.232050\pi\) |
−0.949803 | + | 0.312848i | \(0.898717\pi\) | |||||||
\(294\) | 20.7356 | − | 5.50898i | 1.20932 | − | 0.321290i | ||||
\(295\) | −3.98078 | + | 8.63834i | −0.231770 | + | 0.502943i | ||||
\(296\) | 6.54537 | − | 4.75549i | 0.380442 | − | 0.276407i | ||||
\(297\) | 11.9212 | − | 30.4750i | 0.691739 | − | 1.76834i | ||||
\(298\) | −0.616752 | − | 1.89817i | −0.0357275 | − | 0.109958i | ||||
\(299\) | −3.16978 | + | 5.49022i | −0.183313 | + | 0.317508i | ||||
\(300\) | −8.51234 | − | 1.59375i | −0.491460 | − | 0.0920152i | ||||
\(301\) | 6.03484 | + | 10.4526i | 0.347842 | + | 0.602480i | ||||
\(302\) | 1.88309 | − | 2.09138i | 0.108360 | − | 0.120346i | ||||
\(303\) | −14.8377 | − | 9.68048i | −0.852401 | − | 0.556129i | ||||
\(304\) | −0.757049 | − | 7.20284i | −0.0434197 | − | 0.413111i | ||||
\(305\) | 3.72501 | − | 3.26772i | 0.213294 | − | 0.187109i | ||||
\(306\) | 6.49449 | + | 9.01909i | 0.371265 | + | 0.515587i | ||||
\(307\) | 26.2202 | 1.49647 | 0.748233 | − | 0.663436i | \(-0.230902\pi\) | ||||
0.748233 | + | 0.663436i | \(0.230902\pi\) | |||||||
\(308\) | 25.3318 | − | 11.2784i | 1.44341 | − | 0.642648i | ||||
\(309\) | −2.58846 | + | 5.05361i | −0.147252 | + | 0.287490i | ||||
\(310\) | 3.33001 | + | 4.71038i | 0.189132 | + | 0.267531i | ||||
\(311\) | −9.33127 | + | 10.3634i | −0.529128 | + | 0.587656i | −0.947154 | − | 0.320779i | \(-0.896055\pi\) |
0.418026 | + | 0.908435i | \(0.362722\pi\) | |||||||
\(312\) | 2.20280 | − | 4.30067i | 0.124709 | − | 0.243478i | ||||
\(313\) | 19.3816 | + | 21.5254i | 1.09551 | + | 1.21669i | 0.974583 | + | 0.224027i | \(0.0719204\pi\) |
0.120928 | + | 0.992661i | \(0.461413\pi\) | |||||||
\(314\) | 5.28828 | + | 16.2757i | 0.298435 | + | 0.918489i | ||||
\(315\) | −8.64331 | − | 28.2437i | −0.486995 | − | 1.59135i | ||||
\(316\) | −4.53507 | + | 13.9575i | −0.255118 | + | 0.785171i | ||||
\(317\) | 21.6867 | − | 9.65554i | 1.21805 | − | 0.542309i | 0.305857 | − | 0.952077i | \(-0.401057\pi\) |
0.912190 | + | 0.409768i | \(0.134390\pi\) | |||||||
\(318\) | 6.19367 | + | 16.2379i | 0.347324 | + | 0.910575i | ||||
\(319\) | −2.09797 | + | 19.9608i | −0.117464 | + | 1.11759i | ||||
\(320\) | 2.11751 | + | 0.718448i | 0.118372 | + | 0.0401625i | ||||
\(321\) | −0.154363 | + | 2.83056i | −0.00861569 | + | 0.157986i | ||||
\(322\) | −1.04588 | − | 9.95093i | −0.0582849 | − | 0.554543i | ||||
\(323\) | −8.29131 | − | 25.5180i | −0.461341 | − | 1.41986i | ||||
\(324\) | 7.23602 | + | 5.35163i | 0.402001 | + | 0.297313i | ||||
\(325\) | 6.65938 | + | 12.2564i | 0.369396 | + | 0.679865i | ||||
\(326\) | 5.64285 | − | 9.77371i | 0.312529 | − | 0.541316i | ||||
\(327\) | −25.6947 | − | 9.92585i | −1.42092 | − | 0.548901i | ||||
\(328\) | 1.48612 | + | 0.661665i | 0.0820575 | + | 0.0365344i | ||||
\(329\) | 22.7798 | + | 10.1422i | 1.25589 | + | 0.559160i | ||||
\(330\) | −10.7446 | − | 21.8967i | −0.591470 | − | 1.20537i | ||||
\(331\) | 30.1343 | − | 13.4166i | 1.65633 | − | 0.737445i | 0.656472 | − | 0.754351i | \(-0.272048\pi\) |
0.999857 | + | 0.0169058i | \(0.00538155\pi\) | |||||||
\(332\) | −2.51432 | −0.137992 | ||||||||
\(333\) | 9.96608 | − | 22.1311i | 0.546138 | − | 1.21278i | ||||
\(334\) | 0.813904 | − | 2.50494i | 0.0445348 | − | 0.137064i | ||||
\(335\) | −1.59136 | − | 1.47060i | −0.0869453 | − | 0.0803477i | ||||
\(336\) | 1.17705 | + | 7.53496i | 0.0642132 | + | 0.411065i | ||||
\(337\) | −5.59787 | + | 1.18986i | −0.304935 | + | 0.0648160i | −0.357838 | − | 0.933784i | \(-0.616486\pi\) |
0.0529028 | + | 0.998600i | \(0.483153\pi\) | |||||||
\(338\) | 5.10329 | − | 1.08474i | 0.277582 | − | 0.0590020i | ||||
\(339\) | 3.86394 | + | 24.7353i | 0.209860 | + | 1.34344i | ||||
\(340\) | 8.22666 | + | 0.972459i | 0.446153 | + | 0.0527390i | ||||
\(341\) | −5.02050 | + | 15.4515i | −0.271875 | + | 0.836746i | ||||
\(342\) | −12.6965 | − | 17.6320i | −0.686546 | − | 0.953427i | ||||
\(343\) | 23.7193 | 1.28072 | ||||||||
\(344\) | −2.50421 | + | 1.11495i | −0.135018 | + | 0.0601138i | ||||
\(345\) | −8.71255 | + | 1.24571i | −0.469068 | + | 0.0670669i | ||||
\(346\) | 10.4997 | + | 4.67478i | 0.564469 | + | 0.251318i | ||||
\(347\) | 19.4451 | + | 8.65751i | 1.04387 | + | 0.464759i | 0.855751 | − | 0.517388i | \(-0.173095\pi\) |
0.188115 | + | 0.982147i | \(0.439762\pi\) | |||||||
\(348\) | −5.14923 | − | 1.98914i | −0.276028 | − | 0.106629i | ||||
\(349\) | −1.10637 | + | 1.91628i | −0.0592224 | + | 0.102576i | −0.894117 | − | 0.447834i | \(-0.852195\pi\) |
0.834894 | + | 0.550411i | \(0.185529\pi\) | |||||||
\(350\) | −19.8735 | − | 9.47199i | −1.06228 | − | 0.506299i | ||||
\(351\) | −0.666556 | − | 14.4806i | −0.0355781 | − | 0.772919i | ||||
\(352\) | 1.94609 | + | 5.98944i | 0.103727 | + | 0.319238i | ||||
\(353\) | 3.76724 | + | 35.8429i | 0.200510 | + | 1.90772i | 0.381716 | + | 0.924280i | \(0.375333\pi\) |
−0.181206 | + | 0.983445i | \(0.558000\pi\) | |||||||
\(354\) | 0.401187 | − | 7.35660i | 0.0213229 | − | 0.390999i | ||||
\(355\) | −0.00768733 | + | 0.593925i | −0.000408001 | + | 0.0315223i | ||||
\(356\) | 0.448947 | − | 4.27144i | 0.0237941 | − | 0.226386i | ||||
\(357\) | 10.0691 | + | 26.3980i | 0.532913 | + | 1.39713i | ||||
\(358\) | −12.4294 | + | 5.53391i | −0.656912 | + | 0.292476i | ||||
\(359\) | −2.28509 | + | 7.03277i | −0.120602 | + | 0.371176i | −0.993074 | − | 0.117489i | \(-0.962516\pi\) |
0.872472 | + | 0.488664i | \(0.162516\pi\) | |||||||
\(360\) | 6.58461 | − | 1.28176i | 0.347039 | − | 0.0675548i | ||||
\(361\) | 10.3379 | + | 31.8166i | 0.544098 | + | 1.67456i | ||||
\(362\) | −3.76631 | − | 4.18291i | −0.197953 | − | 0.219849i | ||||
\(363\) | 22.6306 | − | 44.1832i | 1.18780 | − | 2.31902i | ||||
\(364\) | 8.21923 | − | 9.12838i | 0.430805 | − | 0.478457i | ||||
\(365\) | 19.3408 | + | 6.56213i | 1.01234 | + | 0.343478i | ||||
\(366\) | −1.74978 | + | 3.41621i | −0.0914625 | + | 0.178568i | ||||
\(367\) | 14.6371 | − | 6.51685i | 0.764050 | − | 0.340177i | 0.0125596 | − | 0.999921i | \(-0.496002\pi\) |
0.751490 | + | 0.659744i | \(0.229335\pi\) | |||||||
\(368\) | 2.27245 | 0.118460 | ||||||||
\(369\) | 4.85568 | − | 0.489542i | 0.252777 | − | 0.0254845i | ||||
\(370\) | −7.14374 | − | 16.6208i | −0.371385 | − | 0.864072i | ||||
\(371\) | 4.61801 | + | 43.9374i | 0.239755 | + | 2.28112i | ||||
\(372\) | −3.74229 | − | 2.44157i | −0.194029 | − | 0.126589i | ||||
\(373\) | −11.9200 | + | 13.2384i | −0.617192 | + | 0.685461i | −0.967990 | − | 0.250990i | \(-0.919244\pi\) |
0.350798 | + | 0.936451i | \(0.385910\pi\) | |||||||
\(374\) | 11.6655 | + | 20.2052i | 0.603206 | + | 1.04478i | ||||
\(375\) | −7.67403 | + | 17.7795i | −0.396285 | + | 0.918127i | ||||
\(376\) | −2.83162 | + | 4.90451i | −0.146030 | + | 0.252931i | ||||
\(377\) | 2.74746 | + | 8.45582i | 0.141502 | + | 0.435497i | ||||
\(378\) | 14.2848 | + | 17.8716i | 0.734732 | + | 0.919214i | ||||
\(379\) | −25.4831 | + | 18.5146i | −1.30898 | + | 0.951029i | −1.00000 | 3.93512e-5i | \(-0.999987\pi\) | |
−0.308980 | + | 0.951069i | \(0.599987\pi\) | |||||||
\(380\) | −16.0828 | − | 1.90112i | −0.825029 | − | 0.0975253i | ||||
\(381\) | −9.78086 | + | 2.59856i | −0.501089 | + | 0.133128i | ||||
\(382\) | 4.01054 | + | 6.94646i | 0.205197 | + | 0.355412i | ||||
\(383\) | 1.93833 | − | 18.4420i | 0.0990440 | − | 0.942341i | −0.826305 | − | 0.563223i | \(-0.809561\pi\) |
0.925349 | − | 0.379117i | \(-0.123772\pi\) | |||||||
\(384\) | −1.72987 | + | 0.0869806i | −0.0882768 | + | 0.00443871i | ||||
\(385\) | −12.1054 | − | 60.8109i | −0.616946 | − | 3.09921i | ||||
\(386\) | −4.08315 | − | 12.5667i | −0.207827 | − | 0.639626i | ||||
\(387\) | −4.86188 | + | 6.63246i | −0.247143 | + | 0.337147i | ||||
\(388\) | 1.46237 | − | 4.50071i | 0.0742406 | − | 0.228489i | ||||
\(389\) | −37.3916 | − | 7.94784i | −1.89583 | − | 0.402971i | −0.896624 | − | 0.442793i | \(-0.853988\pi\) |
−0.999207 | + | 0.0398215i | \(0.987321\pi\) | |||||||
\(390\) | −8.29342 | − | 6.92529i | −0.419954 | − | 0.350676i | ||||
\(391\) | 8.23474 | − | 1.75035i | 0.416449 | − | 0.0885189i | ||||
\(392\) | −1.29479 | + | 12.3191i | −0.0653970 | + | 0.622210i | ||||
\(393\) | −19.2575 | − | 3.09196i | −0.971413 | − | 0.155969i | ||||
\(394\) | 22.9052 | − | 10.1980i | 1.15394 | − | 0.513769i | ||||
\(395\) | 28.2048 | + | 16.7745i | 1.41914 | + | 0.844015i | ||||
\(396\) | 13.9865 | + | 12.7013i | 0.702848 | + | 0.638266i | ||||
\(397\) | 7.02911 | − | 5.10694i | 0.352781 | − | 0.256310i | −0.397254 | − | 0.917709i | \(-0.630037\pi\) |
0.750035 | + | 0.661399i | \(0.230037\pi\) | |||||||
\(398\) | 17.1603 | + | 3.64754i | 0.860170 | + | 0.182835i | ||||
\(399\) | −19.6846 | − | 51.6071i | −0.985465 | − | 2.58359i | ||||
\(400\) | 2.61124 | − | 4.26397i | 0.130562 | − | 0.213199i | ||||
\(401\) | −14.0539 | − | 24.3421i | −0.701820 | − | 1.21559i | −0.967827 | − | 0.251617i | \(-0.919038\pi\) |
0.266007 | − | 0.963971i | \(-0.414296\pi\) | |||||||
\(402\) | 1.56565 | + | 0.604810i | 0.0780876 | + | 0.0301652i | ||||
\(403\) | 0.752288 | + | 7.15754i | 0.0374741 | + | 0.356543i | ||||
\(404\) | 8.27504 | − | 6.01217i | 0.411699 | − | 0.299117i | ||||
\(405\) | 15.2405 | − | 13.1425i | 0.757309 | − | 0.653057i | ||||
\(406\) | −11.3527 | − | 8.24818i | −0.563423 | − | 0.409351i | ||||
\(407\) | 25.4757 | − | 44.1252i | 1.26278 | − | 2.18721i | ||||
\(408\) | −6.20157 | + | 1.64762i | −0.307024 | + | 0.0815693i | ||||
\(409\) | 14.2469 | − | 3.02827i | 0.704463 | − | 0.149738i | 0.158268 | − | 0.987396i | \(-0.449409\pi\) |
0.546195 | + | 0.837658i | \(0.316076\pi\) | |||||||
\(410\) | 2.17601 | − | 2.91493i | 0.107466 | − | 0.143958i | ||||
\(411\) | −12.4186 | + | 10.0129i | −0.612566 | + | 0.493899i | ||||
\(412\) | −2.19352 | − | 2.43615i | −0.108067 | − | 0.120021i | ||||
\(413\) | 5.78760 | − | 17.8124i | 0.284789 | − | 0.876492i | ||||
\(414\) | 5.91840 | − | 3.38360i | 0.290873 | − | 0.166295i | ||||
\(415\) | −1.24000 | + | 5.48375i | −0.0608691 | + | 0.269187i | ||||
\(416\) | 1.86671 | + | 2.07319i | 0.0915228 | + | 0.101646i | ||||
\(417\) | −0.0662935 | − | 0.0665752i | −0.00324641 | − | 0.00326020i | ||||
\(418\) | −22.8055 | − | 39.5003i | −1.11545 | − | 1.93202i | ||||
\(419\) | 3.49570 | − | 33.2593i | 0.170776 | − | 1.62482i | −0.488249 | − | 0.872704i | \(-0.662364\pi\) |
0.659025 | − | 0.752121i | \(-0.270969\pi\) | |||||||
\(420\) | 17.0143 | + | 1.14889i | 0.830211 | + | 0.0560602i | ||||
\(421\) | −1.55774 | − | 14.8209i | −0.0759195 | − | 0.722326i | −0.964585 | − | 0.263771i | \(-0.915034\pi\) |
0.888666 | − | 0.458555i | \(-0.151633\pi\) | |||||||
\(422\) | 2.70986 | − | 1.96883i | 0.131914 | − | 0.0958410i | ||||
\(423\) | −0.0720529 | + | 16.9896i | −0.00350333 | + | 0.826061i | ||||
\(424\) | −10.0338 | −0.487284 | ||||||||
\(425\) | 6.17810 | − | 17.4628i | 0.299682 | − | 0.847070i | ||||
\(426\) | −0.163971 | − | 0.429880i | −0.00794440 | − | 0.0208278i | ||||
\(427\) | −6.52889 | + | 7.25107i | −0.315955 | + | 0.350904i | ||||
\(428\) | −1.49516 | − | 0.665687i | −0.0722711 | − | 0.0321772i | ||||
\(429\) | 1.65703 | − | 30.3851i | 0.0800023 | − | 1.46701i | ||||
\(430\) | 1.19669 | + | 6.01155i | 0.0577096 | + | 0.289903i | ||||
\(431\) | −2.01733 | − | 1.46568i | −0.0971716 | − | 0.0705993i | 0.538139 | − | 0.842856i | \(-0.319128\pi\) |
−0.635310 | + | 0.772257i | \(0.719128\pi\) | |||||||
\(432\) | −4.37577 | + | 2.80225i | −0.210530 | + | 0.134823i | ||||
\(433\) | −22.1202 | − | 16.0713i | −1.06303 | − | 0.772337i | −0.0883844 | − | 0.996086i | \(-0.528170\pi\) |
−0.974647 | + | 0.223749i | \(0.928170\pi\) | |||||||
\(434\) | −7.60065 | − | 8.44137i | −0.364843 | − | 0.405199i | ||||
\(435\) | −6.87779 | + | 10.2495i | −0.329765 | + | 0.491426i | ||||
\(436\) | 10.6414 | − | 11.8184i | 0.509629 | − | 0.566001i | ||||
\(437\) | −16.0986 | + | 3.42186i | −0.770100 | + | 0.163690i | ||||
\(438\) | −15.8002 | + | 0.794459i | −0.754961 | + | 0.0379607i | ||||
\(439\) | 18.7568 | + | 3.98688i | 0.895213 | + | 0.190283i | 0.632472 | − | 0.774583i | \(-0.282040\pi\) |
0.262741 | + | 0.964866i | \(0.415374\pi\) | |||||||
\(440\) | 14.0228 | − | 1.29060i | 0.668509 | − | 0.0615267i | ||||
\(441\) | 14.9706 | + | 34.0120i | 0.712887 | + | 1.61962i | ||||
\(442\) | 8.36131 | + | 6.07485i | 0.397707 | + | 0.288951i | ||||
\(443\) | 2.80382 | − | 4.85636i | 0.133214 | − | 0.230733i | −0.791700 | − | 0.610910i | \(-0.790804\pi\) |
0.924914 | + | 0.380177i | \(0.124137\pi\) | |||||||
\(444\) | 9.88779 | + | 9.92981i | 0.469254 | + | 0.471248i | ||||
\(445\) | −9.09462 | − | 3.08571i | −0.431126 | − | 0.146277i | ||||
\(446\) | 18.9153 | + | 8.42162i | 0.895664 | + | 0.398775i | ||||
\(447\) | 3.08345 | − | 1.56287i | 0.145842 | − | 0.0739213i | ||||
\(448\) | −4.30685 | − | 0.915449i | −0.203479 | − | 0.0432509i | ||||
\(449\) | 7.32676 | 0.345771 | 0.172886 | − | 0.984942i | \(-0.444691\pi\) | ||||
0.172886 | + | 0.984942i | \(0.444691\pi\) | |||||||
\(450\) | 0.451823 | − | 14.9932i | 0.0212991 | − | 0.706786i | ||||
\(451\) | 10.2448 | 0.482411 | ||||||||
\(452\) | −14.1383 | − | 3.00518i | −0.665008 | − | 0.141352i | ||||
\(453\) | 4.08238 | + | 2.66345i | 0.191807 | + | 0.125140i | ||||
\(454\) | −5.65568 | − | 2.51807i | −0.265434 | − | 0.118179i | ||||
\(455\) | −15.8555 | − | 22.4281i | −0.743319 | − | 1.05144i | ||||
\(456\) | 12.1238 | − | 3.22103i | 0.567750 | − | 0.150838i | ||||
\(457\) | −16.0142 | + | 27.7374i | −0.749113 | + | 1.29750i | 0.199136 | + | 0.979972i | \(0.436186\pi\) |
−0.948249 | + | 0.317529i | \(0.897147\pi\) | |||||||
\(458\) | −5.60567 | − | 4.07276i | −0.261936 | − | 0.190308i | ||||
\(459\) | −13.6982 | + | 13.5250i | −0.639378 | + | 0.631294i | ||||
\(460\) | 1.12071 | − | 4.95622i | 0.0522534 | − | 0.231085i | ||||
\(461\) | −6.83317 | − | 1.45244i | −0.318253 | − | 0.0676467i | 0.0460157 | − | 0.998941i | \(-0.485348\pi\) |
−0.364268 | + | 0.931294i | \(0.618681\pi\) | |||||||
\(462\) | 26.0725 | + | 40.3352i | 1.21300 | + | 1.87656i | ||||
\(463\) | −22.1610 | + | 4.71046i | −1.02991 | + | 0.218914i | −0.691721 | − | 0.722165i | \(-0.743147\pi\) |
−0.338187 | + | 0.941079i | \(0.609814\pi\) | |||||||
\(464\) | 2.13253 | − | 2.36842i | 0.0990003 | − | 0.109951i | ||||
\(465\) | −7.17066 | + | 6.95783i | −0.332532 | + | 0.322662i | ||||
\(466\) | 9.27700 | + | 10.3031i | 0.429749 | + | 0.477284i | ||||
\(467\) | 21.3748 | + | 15.5297i | 0.989106 | + | 0.718627i | 0.959725 | − | 0.280941i | \(-0.0906465\pi\) |
0.0293805 | + | 0.999568i | \(0.490647\pi\) | |||||||
\(468\) | 7.94859 | + | 2.61997i | 0.367424 | + | 0.121108i | ||||
\(469\) | 3.45184 | + | 2.50791i | 0.159391 | + | 0.115804i | ||||
\(470\) | 9.30028 | + | 8.59455i | 0.428990 | + | 0.396437i | ||||
\(471\) | −26.4388 | + | 13.4007i | −1.21824 | + | 0.617472i | ||||
\(472\) | 3.88590 | + | 1.73011i | 0.178863 | + | 0.0796349i | ||||
\(473\) | −11.5513 | + | 12.8290i | −0.531130 | + | 0.589879i | ||||
\(474\) | −25.0978 | − | 4.02967i | −1.15278 | − | 0.185089i | ||||
\(475\) | −12.0779 | + | 34.1390i | −0.554174 | + | 1.56641i | ||||
\(476\) | −16.3120 | −0.747659 | ||||||||
\(477\) | −26.1321 | + | 14.9400i | −1.19651 | + | 0.684055i | ||||
\(478\) | −2.65409 | + | 1.92831i | −0.121395 | + | 0.0881988i | ||||
\(479\) | −2.36274 | − | 22.4800i | −0.107956 | − | 1.02714i | −0.905636 | − | 0.424055i | \(-0.860606\pi\) |
0.797680 | − | 0.603081i | \(-0.206060\pi\) | |||||||
\(480\) | −0.663418 | + | 3.81574i | −0.0302807 | + | 0.174164i | ||||
\(481\) | 2.35926 | − | 22.4469i | 0.107573 | − | 1.02349i | ||||
\(482\) | 2.51367 | + | 4.35380i | 0.114495 | + | 0.198310i | ||||
\(483\) | 16.7494 | − | 4.44994i | 0.762124 | − | 0.202479i | ||||
\(484\) | 19.1777 | + | 21.2990i | 0.871715 | + | 0.968138i | ||||
\(485\) | −9.09487 | − | 5.40906i | −0.412977 | − | 0.245613i | ||||
\(486\) | −7.22387 | + | 13.8136i | −0.327682 | + | 0.626598i | ||||
\(487\) | 11.4596 | − | 35.2692i | 0.519286 | − | 1.59820i | −0.256060 | − | 0.966661i | \(-0.582424\pi\) |
0.775346 | − | 0.631537i | \(-0.217576\pi\) | |||||||
\(488\) | −1.48281 | − | 1.64682i | −0.0671235 | − | 0.0745482i | ||||
\(489\) | 18.2342 | + | 7.04385i | 0.824579 | + | 0.318534i | ||||
\(490\) | 26.2295 | + | 8.89942i | 1.18493 | + | 0.402035i | ||||
\(491\) | −20.5061 | + | 4.35872i | −0.925429 | + | 0.196706i | −0.645892 | − | 0.763429i | \(-0.723514\pi\) |
−0.279537 | + | 0.960135i | \(0.590181\pi\) | |||||||
\(492\) | −0.735029 | + | 2.72008i | −0.0331377 | + | 0.122631i | ||||
\(493\) | 5.90345 | − | 10.2251i | 0.265878 | − | 0.460514i | ||||
\(494\) | −16.3460 | − | 11.8761i | −0.735442 | − | 0.534330i | ||||
\(495\) | 34.5994 | − | 24.2407i | 1.55513 | − | 1.08954i | ||||
\(496\) | 2.08709 | − | 1.51636i | 0.0937133 | − | 0.0680867i | ||||
\(497\) | −0.122257 | − | 1.16320i | −0.00548396 | − | 0.0521764i | ||||
\(498\) | −0.672140 | − | 4.30276i | −0.0301193 | − | 0.192811i | ||||
\(499\) | −8.95178 | − | 15.5049i | −0.400737 | − | 0.694097i | 0.593078 | − | 0.805145i | \(-0.297912\pi\) |
−0.993815 | + | 0.111048i | \(0.964579\pi\) | |||||||
\(500\) | −8.01195 | − | 7.79799i | −0.358305 | − | 0.348737i | ||||
\(501\) | 4.50427 | + | 0.723200i | 0.201236 | + | 0.0323102i | ||||
\(502\) | 11.3170 | + | 2.40549i | 0.505101 | + | 0.107362i | ||||
\(503\) | −28.2462 | + | 20.5220i | −1.25943 | + | 0.915033i | −0.998730 | − | 0.0503856i | \(-0.983955\pi\) |
−0.260705 | + | 0.965419i | \(0.583955\pi\) | |||||||
\(504\) | −12.5799 | + | 4.02855i | −0.560353 | + | 0.179446i | ||||
\(505\) | −9.03154 | − | 21.0129i | −0.401898 | − | 0.935064i | ||||
\(506\) | 13.0739 | − | 5.82086i | 0.581204 | − | 0.258769i | ||||
\(507\) | 3.22054 | + | 8.44327i | 0.143029 | + | 0.374979i | ||||
\(508\) | 0.610747 | − | 5.81087i | 0.0270975 | − | 0.257816i | ||||
\(509\) | 18.0935 | − | 3.84590i | 0.801981 | − | 0.170466i | 0.211353 | − | 0.977410i | \(-0.432213\pi\) |
0.590629 | + | 0.806943i | \(0.298880\pi\) | |||||||
\(510\) | 0.535018 | + | 14.3382i | 0.0236910 | + | 0.634907i | ||||
\(511\) | −39.3377 | − | 8.36149i | −1.74020 | − | 0.369890i | ||||
\(512\) | 0.309017 | − | 0.951057i | 0.0136568 | − | 0.0420312i | ||||
\(513\) | 26.7794 | − | 26.4409i | 1.18234 | − | 1.16739i | ||||
\(514\) | 5.93921 | + | 18.2790i | 0.261967 | + | 0.806252i | ||||
\(515\) | −6.39504 | + | 3.58263i | −0.281799 | + | 0.157870i | ||||
\(516\) | −2.57744 | − | 3.98739i | −0.113465 | − | 0.175535i | ||||
\(517\) | −3.72803 | + | 35.4699i | −0.163959 | + | 1.55996i | ||||
\(518\) | 17.8115 | + | 30.8505i | 0.782594 | + | 1.35549i | ||||
\(519\) | −5.19311 | + | 19.2179i | −0.227952 | + | 0.843570i | ||||
\(520\) | 5.44224 | − | 3.04886i | 0.238658 | − | 0.133701i | ||||
\(521\) | 23.3223 | − | 16.9446i | 1.02177 | − | 0.742358i | 0.0551230 | − | 0.998480i | \(-0.482445\pi\) |
0.966644 | + | 0.256122i | \(0.0824449\pi\) | |||||||
\(522\) | 2.02750 | − | 9.34361i | 0.0887412 | − | 0.408959i | ||||
\(523\) | 8.00236 | + | 24.6287i | 0.349919 | + | 1.07694i | 0.958898 | + | 0.283753i | \(0.0915794\pi\) |
−0.608979 | + | 0.793186i | \(0.708421\pi\) | |||||||
\(524\) | 5.63036 | − | 9.75208i | 0.245964 | − | 0.426021i | ||||
\(525\) | 10.8967 | − | 36.5416i | 0.475571 | − | 1.59480i | ||||
\(526\) | −8.60685 | − | 14.9075i | −0.375276 | − | 0.649998i | ||||
\(527\) | 6.39510 | − | 7.10247i | 0.278575 | − | 0.309389i | ||||
\(528\) | −9.72948 | + | 4.93146i | −0.423421 | + | 0.214614i | ||||
\(529\) | 1.86437 | + | 17.7383i | 0.0810595 | + | 0.771229i | ||||
\(530\) | −4.94839 | + | 21.8837i | −0.214944 | + | 0.950568i | ||||
\(531\) | 12.6966 | − | 1.28005i | 0.550984 | − | 0.0555493i | ||||
\(532\) | 31.8893 | 1.38258 | ||||||||
\(533\) | 4.14591 | − | 1.84588i | 0.179579 | − | 0.0799539i | ||||
\(534\) | 7.42972 | − | 0.373579i | 0.321515 | − | 0.0161663i | ||||
\(535\) | −2.18924 | + | 2.93265i | −0.0946490 | + | 0.126789i | ||||
\(536\) | −0.648408 | + | 0.720130i | −0.0280070 | + | 0.0311049i | ||||
\(537\) | −12.7928 | − | 19.7910i | −0.552051 | − | 0.854044i | ||||
\(538\) | 0.469751 | + | 0.521711i | 0.0202524 | + | 0.0224926i | ||||
\(539\) | 24.1062 | + | 74.1912i | 1.03833 | + | 3.19564i | ||||
\(540\) | 3.95370 | + | 10.9256i | 0.170140 | + | 0.470162i | ||||
\(541\) | 10.2855 | − | 31.6554i | 0.442207 | − | 1.36097i | −0.443312 | − | 0.896368i | \(-0.646196\pi\) |
0.885518 | − | 0.464605i | \(-0.153804\pi\) | |||||||
\(542\) | 2.26164 | − | 1.00695i | 0.0971457 | − | 0.0432521i | ||||
\(543\) | 6.15137 | − | 7.56346i | 0.263981 | − | 0.324579i | ||||
\(544\) | 0.387245 | − | 3.68439i | 0.0166030 | − | 0.157967i | ||||
\(545\) | −20.5280 | − | 29.0374i | −0.879324 | − | 1.24383i | ||||
\(546\) | 17.8186 | + | 11.6253i | 0.762565 | + | 0.497517i | ||||
\(547\) | 1.77452 | + | 16.8834i | 0.0758730 | + | 0.721884i | 0.964648 | + | 0.263540i | \(0.0848902\pi\) |
−0.888775 | + | 0.458343i | \(0.848443\pi\) | |||||||
\(548\) | −2.84609 | − | 8.75937i | −0.121579 | − | 0.374182i | ||||
\(549\) | −6.31391 | − | 2.08116i | −0.269471 | − | 0.0888217i | ||||
\(550\) | 4.10085 | − | 31.2202i | 0.174861 | − | 1.33123i | ||||
\(551\) | −11.5410 | + | 19.9896i | −0.491663 | + | 0.851586i | ||||
\(552\) | 0.607480 | + | 3.88883i | 0.0258561 | + | 0.165520i | ||||
\(553\) | −59.0319 | − | 26.2827i | −2.51029 | − | 1.11765i | ||||
\(554\) | −23.2361 | − | 10.3454i | −0.987207 | − | 0.439533i | ||||
\(555\) | 26.5333 | − | 16.6682i | 1.12628 | − | 0.707525i | ||||
\(556\) | 0.0495540 | − | 0.0220628i | 0.00210156 | − | 0.000935673i | ||||
\(557\) | −9.73750 | −0.412591 | −0.206296 | − | 0.978490i | \(-0.566141\pi\) | ||||
−0.206296 | + | 0.978490i | \(0.566141\pi\) | |||||||
\(558\) | 3.17784 | − | 7.05685i | 0.134529 | − | 0.298740i | ||||
\(559\) | −2.36313 | + | 7.27297i | −0.0999498 | + | 0.307614i | ||||
\(560\) | −4.12062 | + | 8.94178i | −0.174128 | + | 0.377859i | ||||
\(561\) | −31.4586 | + | 25.3644i | −1.32818 | + | 1.07089i | ||||
\(562\) | 16.7698 | − | 3.56452i | 0.707390 | − | 0.150360i | ||||
\(563\) | 0.160986 | − | 0.0342187i | 0.00678477 | − | 0.00144215i | −0.204518 | − | 0.978863i | \(-0.565563\pi\) |
0.211303 | + | 0.977421i | \(0.432229\pi\) | |||||||
\(564\) | −9.15004 | − | 3.53465i | −0.385286 | − | 0.148836i | ||||
\(565\) | −13.5269 | + | 29.3535i | −0.569082 | + | 1.23491i | ||||
\(566\) | 2.54568 | − | 7.83480i | 0.107003 | − | 0.329321i | ||||
\(567\) | −26.7649 | + | 29.2231i | −1.12402 | + | 1.22725i | ||||
\(568\) | 0.265634 | 0.0111457 | ||||||||
\(569\) | −21.4307 | + | 9.54155i | −0.898421 | + | 0.400003i | −0.803377 | − | 0.595471i | \(-0.796966\pi\) |
−0.0950434 | + | 0.995473i | \(0.530299\pi\) | |||||||
\(570\) | −1.04594 | − | 28.0306i | −0.0438096 | − | 1.17407i | ||||
\(571\) | 8.30862 | + | 3.69924i | 0.347705 | + | 0.154808i | 0.573156 | − | 0.819446i | \(-0.305719\pi\) |
−0.225451 | + | 0.974254i | \(0.572386\pi\) | |||||||
\(572\) | 16.0500 | + | 7.14593i | 0.671085 | + | 0.298786i | ||||
\(573\) | −10.8153 | + | 8.72018i | −0.451817 | + | 0.364291i | ||||
\(574\) | −3.58138 | + | 6.20313i | −0.149484 | + | 0.258914i | ||||
\(575\) | −10.2568 | − | 4.88855i | −0.427739 | − | 0.203866i | ||||
\(576\) | −0.611285 | − | 2.93706i | −0.0254702 | − | 0.122378i | ||||
\(577\) | −1.18679 | − | 3.65256i | −0.0494066 | − | 0.152058i | 0.923309 | − | 0.384057i | \(-0.125473\pi\) |
−0.972716 | + | 0.231999i | \(0.925473\pi\) | |||||||
\(578\) | 0.342360 | + | 3.25734i | 0.0142403 | + | 0.135488i | ||||
\(579\) | 20.4138 | − | 10.3469i | 0.848367 | − | 0.430001i | ||||
\(580\) | −4.11382 | − | 5.81910i | −0.170817 | − | 0.241625i | ||||
\(581\) | 1.15721 | − | 11.0101i | 0.0480091 | − | 0.456776i | ||||
\(582\) | 8.09298 | + | 1.29940i | 0.335465 | + | 0.0538619i | ||||
\(583\) | −57.7265 | + | 25.7015i | −2.39079 | + | 1.06445i | ||||
\(584\) | 2.82249 | − | 8.68672i | 0.116795 | − | 0.359459i | ||||
\(585\) | 9.63420 | − | 16.0438i | 0.398325 | − | 0.663330i | ||||
\(586\) | 2.15778 | + | 6.64095i | 0.0891369 | + | 0.274335i | ||||
\(587\) | 15.4695 | + | 17.1806i | 0.638493 | + | 0.709119i | 0.972356 | − | 0.233503i | \(-0.0750189\pi\) |
−0.333863 | + | 0.942622i | \(0.608352\pi\) | |||||||
\(588\) | −21.4278 | + | 1.07743i | −0.883669 | + | 0.0444324i | ||||
\(589\) | −12.5021 | + | 13.8850i | −0.515142 | + | 0.572123i | ||||
\(590\) | 5.68980 | − | 7.62192i | 0.234246 | − | 0.313789i | ||||
\(591\) | 23.5750 | + | 36.4713i | 0.969744 | + | 1.50023i | ||||
\(592\) | −7.39106 | + | 3.29071i | −0.303771 | + | 0.135247i | ||||
\(593\) | 5.42886 | 0.222937 | 0.111468 | − | 0.993768i | \(-0.464445\pi\) | ||||
0.111468 | + | 0.993768i | \(0.464445\pi\) | |||||||
\(594\) | −17.9968 | + | 27.3304i | −0.738418 | + | 1.12138i | ||||
\(595\) | −8.04463 | + | 35.5765i | −0.329798 | + | 1.45850i | ||||
\(596\) | 0.208623 | + | 1.98492i | 0.00854554 | + | 0.0813054i | ||||
\(597\) | −1.65465 | + | 30.3415i | −0.0677205 | + | 1.24180i | ||||
\(598\) | 4.24199 | − | 4.71121i | 0.173468 | − | 0.192656i | ||||
\(599\) | 21.7831 | + | 37.7295i | 0.890034 | + | 1.54158i | 0.839833 | + | 0.542845i | \(0.182653\pi\) |
0.0502016 | + | 0.998739i | \(0.484014\pi\) | |||||||
\(600\) | 7.99497 | + | 3.32874i | 0.326393 | + | 0.135895i | ||||
\(601\) | −0.256048 | + | 0.443488i | −0.0104444 | + | 0.0180903i | −0.871200 | − | 0.490928i | \(-0.836658\pi\) |
0.860756 | + | 0.509018i | \(0.169991\pi\) | |||||||
\(602\) | −3.72973 | − | 11.4789i | −0.152013 | − | 0.467847i | ||||
\(603\) | −0.616473 | + | 2.84098i | −0.0251047 | + | 0.115694i | ||||
\(604\) | −2.27676 | + | 1.65417i | −0.0926402 | + | 0.0673071i | ||||
\(605\) | 55.9112 | − | 31.3226i | 2.27311 | − | 1.27345i | ||||
\(606\) | 12.5007 | + | 12.5539i | 0.507807 | + | 0.509966i | ||||
\(607\) | −23.0585 | − | 39.9384i | −0.935914 | − | 1.62105i | −0.772996 | − | 0.634411i | \(-0.781243\pi\) |
−0.162918 | − | 0.986640i | \(-0.552091\pi\) | |||||||
\(608\) | −0.757049 | + | 7.20284i | −0.0307024 | + | 0.292114i | ||||
\(609\) | 11.0803 | − | 21.6327i | 0.448995 | − | 0.876601i | ||||
\(610\) | −4.32301 | + | 2.42184i | −0.175034 | + | 0.0980574i | ||||
\(611\) | 4.88217 | + | 15.0258i | 0.197511 | + | 0.607877i | ||||
\(612\) | −4.47740 | − | 10.1723i | −0.180988 | − | 0.411190i | ||||
\(613\) | −2.30989 | + | 7.10911i | −0.0932956 | + | 0.287134i | −0.986806 | − | 0.161909i | \(-0.948235\pi\) |
0.893510 | + | 0.449043i | \(0.148235\pi\) | |||||||
\(614\) | −25.6472 | − | 5.45149i | −1.03504 | − | 0.220004i | ||||
\(615\) | 5.57001 | + | 2.94457i | 0.224604 | + | 0.118737i | ||||
\(616\) | −27.1231 | + | 5.76520i | −1.09282 | + | 0.232286i | ||||
\(617\) | 1.26693 | − | 12.0541i | 0.0510049 | − | 0.485279i | −0.938966 | − | 0.344009i | \(-0.888215\pi\) |
0.989971 | − | 0.141270i | \(-0.0451184\pi\) | |||||||
\(618\) | 3.58260 | − | 4.40501i | 0.144113 | − | 0.177195i | ||||
\(619\) | 11.5028 | − | 5.12136i | 0.462335 | − | 0.205845i | −0.162332 | − | 0.986736i | \(-0.551901\pi\) |
0.624667 | + | 0.780891i | \(0.285235\pi\) | |||||||
\(620\) | −2.27790 | − | 5.29979i | −0.0914825 | − | 0.212845i | ||||
\(621\) | 7.37248 | + | 9.22361i | 0.295847 | + | 0.370131i | ||||
\(622\) | 11.2820 | − | 8.19688i | 0.452368 | − | 0.328665i | ||||
\(623\) | 18.4978 | + | 3.93183i | 0.741098 | + | 0.157525i | ||||
\(624\) | −3.04882 | + | 3.74870i | −0.122051 | + | 0.150068i | ||||
\(625\) | −20.9587 | + | 13.6283i | −0.838349 | + | 0.545133i | ||||
\(626\) | −14.4827 | − | 25.0847i | −0.578843 | − | 1.00259i | ||||
\(627\) | 61.5002 | − | 49.5863i | 2.45608 | − | 1.98029i | ||||
\(628\) | −1.78882 | − | 17.0195i | −0.0713817 | − | 0.679152i | ||||
\(629\) | −24.2485 | + | 17.6176i | −0.966853 | + | 0.702460i | ||||
\(630\) | 2.58223 | + | 29.4236i | 0.102878 | + | 1.17226i | ||||
\(631\) | −26.4117 | − | 19.1892i | −1.05143 | − | 0.763911i | −0.0789490 | − | 0.996879i | \(-0.525156\pi\) |
−0.972485 | + | 0.232968i | \(0.925156\pi\) | |||||||
\(632\) | 7.33790 | − | 12.7096i | 0.291886 | − | 0.505561i | ||||
\(633\) | 4.09366 | + | 4.11106i | 0.162708 | + | 0.163400i | ||||
\(634\) | −23.2203 | + | 4.93563i | −0.922196 | + | 0.196019i | ||||
\(635\) | −12.3723 | − | 4.19781i | −0.490981 | − | 0.166585i | ||||
\(636\) | −2.68227 | − | 17.1708i | −0.106359 | − | 0.680866i | ||||
\(637\) | 23.1229 | + | 25.6806i | 0.916162 | + | 1.01750i | ||||
\(638\) | 6.20222 | − | 19.0885i | 0.245548 | − | 0.755719i | ||||
\(639\) | 0.691820 | − | 0.395520i | 0.0273680 | − | 0.0156465i | ||||
\(640\) | −1.92186 | − | 1.14300i | −0.0759682 | − | 0.0451812i | ||||
\(641\) | 27.4674 | + | 30.5057i | 1.08490 | + | 1.20490i | 0.977555 | + | 0.210680i | \(0.0675677\pi\) |
0.107343 | + | 0.994222i | \(0.465766\pi\) | |||||||
\(642\) | 0.739496 | − | 2.73661i | 0.0291856 | − | 0.108005i | ||||
\(643\) | 13.2667 | + | 22.9786i | 0.523189 | + | 0.906189i | 0.999636 | + | 0.0269863i | \(0.00859106\pi\) |
−0.476447 | + | 0.879203i | \(0.658076\pi\) | |||||||
\(644\) | −1.04588 | + | 9.95093i | −0.0412136 | + | 0.392121i | ||||
\(645\) | −9.96764 | + | 3.65493i | −0.392475 | + | 0.143913i | ||||
\(646\) | 2.80463 | + | 26.6843i | 0.110347 | + | 1.04988i | ||||
\(647\) | 11.8122 | − | 8.58210i | 0.464387 | − | 0.337397i | −0.330862 | − | 0.943679i | \(-0.607340\pi\) |
0.795250 | + | 0.606282i | \(0.207340\pi\) | |||||||
\(648\) | −5.96523 | − | 6.73914i | −0.234336 | − | 0.264739i | ||||
\(649\) | 26.7881 | 1.05152 | ||||||||
\(650\) | −3.96560 | − | 13.3732i | −0.155544 | − | 0.524539i | ||||
\(651\) | 12.4139 | − | 15.2636i | 0.486538 | − | 0.598226i | ||||
\(652\) | −7.55161 | + | 8.38692i | −0.295744 | + | 0.328457i | ||||
\(653\) | −16.1228 | − | 7.17834i | −0.630935 | − | 0.280910i | 0.0662487 | − | 0.997803i | \(-0.478897\pi\) |
−0.697183 | + | 0.716893i | \(0.745564\pi\) | |||||||
\(654\) | 23.0696 | + | 15.0512i | 0.902091 | + | 0.588548i | ||||
\(655\) | −18.4926 | − | 17.0893i | −0.722565 | − | 0.667735i | ||||
\(656\) | −1.31608 | − | 0.956189i | −0.0513843 | − | 0.0373329i | ||||
\(657\) | −5.58332 | − | 26.8264i | −0.217826 | − | 1.04660i | ||||
\(658\) | −20.1734 | − | 14.6568i | −0.786439 | − | 0.571381i | ||||
\(659\) | −10.5091 | − | 11.6715i | −0.409375 | − | 0.454657i | 0.502834 | − | 0.864383i | \(-0.332291\pi\) |
−0.912208 | + | 0.409726i | \(0.865624\pi\) | |||||||
\(660\) | 5.95721 | + | 23.6521i | 0.231884 | + | 0.920657i | ||||
\(661\) | −7.55713 | + | 8.39304i | −0.293938 | + | 0.326451i | −0.871967 | − | 0.489565i | \(-0.837156\pi\) |
0.578029 | + | 0.816017i | \(0.303822\pi\) | |||||||
\(662\) | −32.2652 | + | 6.85819i | −1.25402 | + | 0.266551i | ||||
\(663\) | −8.16069 | + | 15.9326i | −0.316935 | + | 0.618773i | ||||
\(664\) | 2.45938 | + | 0.522758i | 0.0954425 | + | 0.0202869i | ||||
\(665\) | 15.7269 | − | 69.5506i | 0.609864 | − | 2.69706i | ||||
\(666\) | −14.3496 | + | 19.5754i | −0.556036 | + | 0.758532i | ||||
\(667\) | −5.85917 | − | 4.25693i | −0.226868 | − | 0.164829i | ||||
\(668\) | −1.31692 | + | 2.28098i | −0.0509533 | + | 0.0882537i | ||||
\(669\) | −9.35539 | + | 34.6210i | −0.361700 | + | 1.33852i | ||||
\(670\) | 1.25083 | + | 1.76933i | 0.0483238 | + | 0.0683552i | ||||
\(671\) | −12.7492 | − | 5.67632i | −0.492178 | − | 0.219132i | ||||
\(672\) | 0.415280 | − | 7.61502i | 0.0160198 | − | 0.293756i | ||||
\(673\) | 9.42069 | + | 2.00243i | 0.363141 | + | 0.0771880i | 0.385869 | − | 0.922554i | \(-0.373902\pi\) |
−0.0227277 | + | 0.999742i | \(0.507235\pi\) | |||||||
\(674\) | 5.72292 | 0.220439 | ||||||||
\(675\) | 25.7786 | − | 3.23484i | 0.992218 | − | 0.124509i | ||||
\(676\) | −5.21730 | −0.200665 | ||||||||
\(677\) | −37.7575 | − | 8.02561i | −1.45114 | − | 0.308449i | −0.586135 | − | 0.810213i | \(-0.699351\pi\) |
−0.865005 | + | 0.501764i | \(0.832685\pi\) | |||||||
\(678\) | 1.36326 | − | 24.9981i | 0.0523556 | − | 0.960048i | ||||
\(679\) | 19.0353 | + | 8.47507i | 0.730509 | + | 0.325243i | ||||
\(680\) | −7.84470 | − | 2.66163i | −0.300831 | − | 0.102069i | ||||
\(681\) | 2.79727 | − | 10.3517i | 0.107192 | − | 0.396678i | ||||
\(682\) | 8.12334 | − | 14.0700i | 0.311059 | − | 0.538769i | ||||
\(683\) | −7.47727 | − | 5.43256i | −0.286110 | − | 0.207871i | 0.435468 | − | 0.900204i | \(-0.356583\pi\) |
−0.721578 | + | 0.692333i | \(0.756583\pi\) | |||||||
\(684\) | 8.75313 | + | 19.8864i | 0.334684 | + | 0.760375i | ||||
\(685\) | −20.5078 | + | 1.88746i | −0.783564 | + | 0.0721160i | ||||
\(686\) | −23.2010 | − | 4.93152i | −0.885817 | − | 0.188286i | ||||
\(687\) | 5.47117 | − | 10.6817i | 0.208738 | − | 0.407533i | ||||
\(688\) | 2.68129 | − | 0.569927i | 0.102223 | − | 0.0217283i | ||||
\(689\) | −18.7301 | + | 20.8019i | −0.713561 | + | 0.792490i | ||||
\(690\) | 8.78116 | + | 0.592950i | 0.334293 | + | 0.0225732i | ||||
\(691\) | −6.31881 | − | 7.01775i | −0.240379 | − | 0.266968i | 0.610869 | − | 0.791732i | \(-0.290820\pi\) |
−0.851248 | + | 0.524764i | \(0.824154\pi\) | |||||||
\(692\) | −9.29835 | − | 6.75565i | −0.353470 | − | 0.256811i | ||||
\(693\) | −62.0557 | + | 55.4004i | −2.35730 | + | 2.10449i | ||||
\(694\) | −17.2202 | − | 12.5112i | −0.653668 | − | 0.474918i | ||||
\(695\) | −0.0236805 | − | 0.118958i | −0.000898252 | − | 0.00451234i | ||||
\(696\) | 4.62314 | + | 3.01626i | 0.175240 | + | 0.114331i | ||||
\(697\) | −5.50563 | − | 2.45126i | −0.208541 | − | 0.0928482i | ||||
\(698\) | 1.48061 | − | 1.64438i | 0.0560418 | − | 0.0622407i | ||||
\(699\) | −15.1518 | + | 18.6300i | −0.573093 | + | 0.704651i | ||||
\(700\) | 17.4699 | + | 13.3969i | 0.660300 | + | 0.506357i | ||||
\(701\) | 22.9483 | 0.866744 | 0.433372 | − | 0.901215i | \(-0.357324\pi\) | ||||
0.433372 | + | 0.901215i | \(0.357324\pi\) | |||||||
\(702\) | −2.35870 | + | 14.3028i | −0.0890235 | + | 0.539824i | ||||
\(703\) | 47.4049 | − | 34.4417i | 1.78791 | − | 1.29899i | ||||
\(704\) | −0.658286 | − | 6.26317i | −0.0248101 | − | 0.236052i | ||||
\(705\) | −12.2216 | + | 18.2131i | −0.460294 | + | 0.685944i | ||||
\(706\) | 3.76724 | − | 35.8429i | 0.141782 | − | 1.34897i | ||||
\(707\) | 22.5184 | + | 39.0030i | 0.846892 | + | 1.46686i | ||||
\(708\) | −1.92194 | + | 7.11243i | −0.0722310 | + | 0.267301i | ||||
\(709\) | −11.7221 | − | 13.0187i | −0.440231 | − | 0.488926i | 0.481669 | − | 0.876353i | \(-0.340031\pi\) |
−0.921900 | + | 0.387427i | \(0.873364\pi\) | |||||||
\(710\) | 0.131003 | − | 0.579348i | 0.00491647 | − | 0.0217425i | ||||
\(711\) | 0.186719 | − | 44.0270i | 0.00700250 | − | 1.65114i | ||||
\(712\) | −1.32722 | + | 4.08476i | −0.0497396 | + | 0.153083i | ||||
\(713\) | −3.92274 | − | 4.35664i | −0.146908 | − | 0.163157i | ||||
\(714\) | −4.36059 | − | 27.9147i | −0.163191 | − | 1.04468i | ||||
\(715\) | 23.5007 | − | 31.4810i | 0.878877 | − | 1.17732i | ||||
\(716\) | 13.3083 | − | 2.82877i | 0.497355 | − | 0.105716i | ||||
\(717\) | −4.00941 | − | 4.02645i | −0.149734 | − | 0.150371i | ||||
\(718\) | 3.69735 | − | 6.40399i | 0.137984 | − | 0.238995i | ||||
\(719\) | 33.6850 | + | 24.4736i | 1.25624 | + | 0.912710i | 0.998567 | − | 0.0535227i | \(-0.0170449\pi\) |
0.257671 | + | 0.966233i | \(0.417045\pi\) | |||||||
\(720\) | −6.70721 | − | 0.115265i | −0.249963 | − | 0.00429567i | ||||
\(721\) | 11.6773 | − | 8.48408i | 0.434886 | − | 0.315964i | ||||
\(722\) | −3.49690 | − | 33.2707i | −0.130141 | − | 1.23821i | ||||
\(723\) | −6.77869 | + | 5.46551i | −0.252102 | + | 0.203265i | ||||
\(724\) | 2.81433 | + | 4.87456i | 0.104594 | + | 0.181162i | ||||
\(725\) | −14.7203 | + | 6.10243i | −0.546698 | + | 0.226639i | ||||
\(726\) | −31.3223 | + | 38.5125i | −1.16248 | + | 1.42933i | ||||
\(727\) | −19.8891 | − | 4.22756i | −0.737646 | − | 0.156792i | −0.176258 | − | 0.984344i | \(-0.556399\pi\) |
−0.561388 | + | 0.827553i | \(0.689733\pi\) | |||||||
\(728\) | −9.93752 | + | 7.22003i | −0.368309 | + | 0.267592i | ||||
\(729\) | −25.5703 | − | 8.66948i | −0.947048 | − | 0.321092i | ||||
\(730\) | −17.5538 | − | 10.4399i | −0.649695 | − | 0.386398i | ||||
\(731\) | 9.27731 | − | 4.13052i | 0.343134 | − | 0.152773i | ||||
\(732\) | 2.42181 | − | 2.97776i | 0.0895128 | − | 0.110061i | ||||
\(733\) | −1.34258 | + | 12.7738i | −0.0495894 | + | 0.471812i | 0.941343 | + | 0.337451i | \(0.109565\pi\) |
−0.990932 | + | 0.134361i | \(0.957102\pi\) | |||||||
\(734\) | −15.6722 | + | 3.33122i | −0.578470 | + | 0.122958i | ||||
\(735\) | −8.21775 | + | 47.2656i | −0.303116 | + | 1.74342i | ||||
\(736\) | −2.22279 | − | 0.472468i | −0.0819331 | − | 0.0174154i | ||||
\(737\) | −1.88582 | + | 5.80395i | −0.0694650 | + | 0.213791i | ||||
\(738\) | −4.85136 | − | 0.530709i | −0.178581 | − | 0.0195357i | ||||
\(739\) | −13.9512 | − | 42.9374i | −0.513204 | − | 1.57948i | −0.786526 | − | 0.617557i | \(-0.788123\pi\) |
0.273322 | − | 0.961922i | \(-0.411877\pi\) | |||||||
\(740\) | 3.53198 | + | 17.7428i | 0.129838 | + | 0.652239i | ||||
\(741\) | 15.9538 | − | 31.1477i | 0.586078 | − | 1.14424i | ||||
\(742\) | 4.61801 | − | 43.9374i | 0.169532 | − | 1.61299i | ||||
\(743\) | 16.5376 | + | 28.6440i | 0.606707 | + | 1.05085i | 0.991779 | + | 0.127961i | \(0.0408433\pi\) |
−0.385072 | + | 0.922887i | \(0.625823\pi\) | |||||||
\(744\) | 3.15288 | + | 3.16628i | 0.115590 | + | 0.116081i | ||||
\(745\) | 4.43200 | + | 0.523899i | 0.162376 | + | 0.0191942i | ||||
\(746\) | 14.4119 | − | 10.4709i | 0.527657 | − | 0.383365i | ||||
\(747\) | 7.18362 | − | 2.30046i | 0.262835 | − | 0.0841695i | ||||
\(748\) | −7.20965 | − | 22.1890i | −0.263611 | − | 0.811311i | ||||
\(749\) | 3.60315 | − | 6.24083i | 0.131656 | − | 0.228035i | ||||
\(750\) | 11.2029 | − | 15.7954i | 0.409072 | − | 0.576767i | ||||
\(751\) | −13.3652 | − | 23.1492i | −0.487702 | − | 0.844725i | 0.512198 | − | 0.858867i | \(-0.328831\pi\) |
−0.999900 | + | 0.0141429i | \(0.995498\pi\) | |||||||
\(752\) | 3.78945 | − | 4.20861i | 0.138187 | − | 0.153472i | ||||
\(753\) | −1.09122 | + | 20.0097i | −0.0397662 | + | 0.729195i | ||||
\(754\) | −0.929360 | − | 8.84227i | −0.0338453 | − | 0.322017i | ||||
\(755\) | 2.48490 | + | 5.78142i | 0.0904349 | + | 0.210408i | ||||
\(756\) | −10.2570 | − | 20.4510i | −0.373042 | − | 0.743796i | ||||
\(757\) | 16.3355 | 0.593725 | 0.296862 | − | 0.954920i | \(-0.404060\pi\) | ||||
0.296862 | + | 0.954920i | \(0.404060\pi\) | |||||||
\(758\) | 28.7756 | − | 12.8117i | 1.04518 | − | 0.465343i | ||||
\(759\) | 13.4562 | + | 20.8172i | 0.488429 | + | 0.755617i | ||||
\(760\) | 15.3361 | + | 5.20337i | 0.556298 | + | 0.188746i | ||||
\(761\) | 2.70105 | − | 2.99982i | 0.0979129 | − | 0.108743i | −0.692197 | − | 0.721709i | \(-0.743357\pi\) |
0.790110 | + | 0.612966i | \(0.210024\pi\) | |||||||
\(762\) | 10.1074 | − | 0.508217i | 0.366152 | − | 0.0184108i | ||||
\(763\) | 46.8547 | + | 52.0374i | 1.69625 | + | 1.88388i | ||||
\(764\) | −2.47865 | − | 7.62850i | −0.0896744 | − | 0.275989i | ||||
\(765\) | −24.3939 | + | 4.74853i | −0.881964 | + | 0.171683i | ||||
\(766\) | −5.73027 | + | 17.6360i | −0.207043 | + | 0.637213i | ||||
\(767\) | 10.8407 | − | 4.82658i | 0.391434 | − | 0.174278i | ||||
\(768\) | 1.71015 | + | 0.274579i | 0.0617097 | + | 0.00990803i | ||||
\(769\) | 5.43158 | − | 51.6780i | 0.195868 | − | 1.86356i | −0.249719 | − | 0.968318i | \(-0.580338\pi\) |
0.445586 | − | 0.895239i | \(-0.352995\pi\) | |||||||
\(770\) | −0.802469 | + | 61.9989i | −0.0289190 | + | 2.23428i | ||||
\(771\) | −29.6931 | + | 15.0502i | −1.06937 | + | 0.542019i | ||||
\(772\) | 1.38117 | + | 13.1410i | 0.0497095 | + | 0.472954i | ||||
\(773\) | −8.00956 | − | 24.6509i | −0.288084 | − | 0.886631i | −0.985457 | − | 0.169923i | \(-0.945648\pi\) |
0.697373 | − | 0.716708i | \(-0.254352\pi\) | |||||||
\(774\) | 6.13460 | − | 5.47669i | 0.220504 | − | 0.196855i | ||||
\(775\) | −12.6823 | + | 2.35439i | −0.455560 | + | 0.0845721i | ||||
\(776\) | −2.36616 | + | 4.09832i | −0.0849403 | + | 0.147121i | ||||
\(777\) | −48.0329 | + | 38.7279i | −1.72317 | + | 1.38936i | ||||
\(778\) | 34.9221 | + | 15.5483i | 1.25202 | + | 0.557434i | ||||
\(779\) | 10.7633 | + | 4.79212i | 0.385634 | + | 0.171695i | ||||
\(780\) | 6.67234 | + | 8.49826i | 0.238908 | + | 0.304286i | ||||
\(781\) | 1.52825 | − | 0.680419i | 0.0546849 | − | 0.0243473i | ||||
\(782\) | −8.41871 | −0.301052 | ||||||||
\(783\) | 16.5317 | + | 0.971880i | 0.590794 | + | 0.0347322i | ||||
\(784\) | 3.82779 | − | 11.7807i | 0.136707 | − | 0.420740i | ||||
\(785\) | −38.0018 | − | 4.49213i | −1.35634 | − | 0.160331i | ||||
\(786\) | 18.1938 | + | 7.02826i | 0.648953 | + | 0.250690i | ||||
\(787\) | −1.76496 | + | 0.375154i | −0.0629140 | + | 0.0133728i | −0.239261 | − | 0.970955i | \(-0.576905\pi\) |
0.176347 | + | 0.984328i | \(0.443572\pi\) | |||||||
\(788\) | −24.5249 | + | 5.21293i | −0.873664 | + | 0.185703i | ||||
\(789\) | 23.2103 | − | 18.7140i | 0.826310 | − | 0.666236i | ||||
\(790\) | −24.1009 | − | 22.2720i | −0.857470 | − | 0.792403i | ||||
\(791\) | 19.6666 | − | 60.5276i | 0.699264 | − | 2.15211i | ||||
\(792\) | −11.0401 | − | 15.3317i | −0.392293 | − | 0.544789i | ||||
\(793\) | −6.18214 | −0.219534 | ||||||||
\(794\) | −7.93730 | + | 3.53391i | −0.281684 | + | 0.125414i | ||||
\(795\) | −38.7724 | − | 2.61812i | −1.37511 | − | 0.0928550i | ||||
\(796\) | −16.0270 | − | 7.13567i | −0.568061 | − | 0.252917i | ||||
\(797\) | −31.7379 | − | 14.1306i | −1.12421 | − | 0.500533i | −0.241481 | − | 0.970406i | \(-0.577633\pi\) |
−0.882734 | + | 0.469873i | \(0.844300\pi\) | |||||||
\(798\) | 8.52478 | + | 54.5720i | 0.301774 | + | 1.93183i | ||||
\(799\) | 10.4903 | − | 18.1697i | 0.371119 | − | 0.642797i | ||||
\(800\) | −3.44070 | + | 3.62789i | −0.121647 | + | 0.128265i | ||||
\(801\) | 2.62545 | + | 12.6146i | 0.0927657 | + | 0.445715i | ||||
\(802\) | 8.68581 | + | 26.7322i | 0.306707 | + | 0.943946i | ||||
\(803\) | −6.01262 | − | 57.2063i | −0.212181 | − | 2.01877i | ||||
\(804\) | −1.40569 | − | 0.917111i | −0.0495749 | − | 0.0323440i | ||||
\(805\) | 21.1872 | + | 7.18861i | 0.746751 | + | 0.253365i | ||||
\(806\) | 0.752288 | − | 7.15754i | 0.0264982 | − | 0.252114i | ||||
\(807\) | −0.767227 | + | 0.943350i | −0.0270077 | + | 0.0332075i | ||||
\(808\) | −9.34421 | + | 4.16031i | −0.328728 | + | 0.146359i | ||||
\(809\) | −4.42313 | + | 13.6130i | −0.155509 | + | 0.478608i | −0.998212 | − | 0.0597709i | \(-0.980963\pi\) |
0.842703 | + | 0.538379i | \(0.180963\pi\) | |||||||
\(810\) | −17.6400 | + | 9.68663i | −0.619806 | + | 0.340353i | ||||
\(811\) | 4.62282 | + | 14.2276i | 0.162329 | + | 0.499598i | 0.998830 | − | 0.0483687i | \(-0.0154022\pi\) |
−0.836500 | + | 0.547966i | \(0.815402\pi\) | |||||||
\(812\) | 9.38968 | + | 10.4283i | 0.329513 | + | 0.365961i | ||||
\(813\) | 2.32778 | + | 3.60116i | 0.0816387 | + | 0.126298i | ||||
\(814\) | −34.0932 | + | 37.8643i | −1.19496 | + | 1.32714i | ||||
\(815\) | 14.5676 | + | 20.6063i | 0.510283 | + | 0.721807i | ||||
\(816\) | 6.40861 | − | 0.322236i | 0.224346 | − | 0.0112805i | ||||
\(817\) | −18.1368 | + | 8.07500i | −0.634525 | + | 0.282509i | ||||
\(818\) | −14.5652 | −0.509259 | ||||||||
\(819\) | −15.1310 | + | 33.6006i | −0.528721 | + | 1.17410i | ||||
\(820\) | −2.73451 | + | 2.39881i | −0.0954932 | + | 0.0837702i | ||||
\(821\) | −0.823533 | − | 7.83539i | −0.0287415 | − | 0.273457i | −0.999449 | − | 0.0331927i | \(-0.989432\pi\) |
0.970707 | − | 0.240264i | \(-0.0772342\pi\) | |||||||
\(822\) | 14.2291 | − | 7.21210i | 0.496295 | − | 0.251551i | ||||
\(823\) | 11.6698 | − | 12.9606i | 0.406783 | − | 0.451779i | −0.504590 | − | 0.863359i | \(-0.668356\pi\) |
0.911374 | + | 0.411580i | \(0.135023\pi\) | |||||||
\(824\) | 1.63908 | + | 2.83897i | 0.0571001 | + | 0.0989003i | ||||
\(825\) | 54.5233 | − | 1.32814i | 1.89826 | − | 0.0462398i | ||||
\(826\) | −9.36454 | + | 16.2199i | −0.325834 | + | 0.564361i | ||||
\(827\) | −3.33291 | − | 10.2576i | −0.115897 | − | 0.356693i | 0.876236 | − | 0.481881i | \(-0.160046\pi\) |
−0.992133 | + | 0.125189i | \(0.960046\pi\) | |||||||
\(828\) | −6.49255 | + | 2.07916i | −0.225632 | + | 0.0722558i | ||||
\(829\) | 18.4431 | − | 13.3997i | 0.640554 | − | 0.465390i | −0.219486 | − | 0.975616i | \(-0.570438\pi\) |
0.860041 | + | 0.510226i | \(0.170438\pi\) | |||||||
\(830\) | 2.35304 | − | 5.10611i | 0.0816751 | − | 0.177236i | ||||
\(831\) | 11.4924 | − | 42.5294i | 0.398668 | − | 1.47533i | ||||
\(832\) | −1.39487 | − | 2.41599i | −0.0483586 | − | 0.0837595i | ||||
\(833\) | 4.79681 | − | 45.6386i | 0.166200 | − | 1.58128i | ||||
\(834\) | 0.0510031 | + | 0.0789036i | 0.00176609 | + | 0.00273221i | ||||
\(835\) | 4.32535 | + | 3.99713i | 0.149685 | + | 0.138326i | ||||
\(836\) | 14.0946 | + | 43.3786i | 0.487471 | + | 1.50028i | ||||
\(837\) | 12.9259 | + | 3.55176i | 0.446784 | + | 0.122767i | ||||
\(838\) | −10.3343 | + | 31.8057i | −0.356993 | + | 1.09871i | ||||
\(839\) | 39.5276 | + | 8.40185i | 1.36464 | + | 0.290064i | 0.831295 | − | 0.555832i | \(-0.187600\pi\) |
0.533349 | + | 0.845896i | \(0.320933\pi\) | |||||||
\(840\) | −16.4036 | − | 4.66125i | −0.565978 | − | 0.160828i | ||||
\(841\) | 18.4312 | − | 3.91766i | 0.635557 | − | 0.135092i | ||||
\(842\) | −1.55774 | + | 14.8209i | −0.0536832 | + | 0.510762i | ||||
\(843\) | 10.5829 | + | 27.7452i | 0.364495 | + | 0.955594i | ||||
\(844\) | −3.05998 | + | 1.36239i | −0.105329 | + | 0.0468955i | ||||
\(845\) | −2.57303 | + | 11.3790i | −0.0885150 | + | 0.391448i | ||||
\(846\) | 3.60281 | − | 16.6033i | 0.123867 | − | 0.570834i | ||||
\(847\) | −102.094 | + | 74.1755i | −3.50798 | + | 2.54870i | ||||
\(848\) | 9.81452 | + | 2.08614i | 0.337032 | + | 0.0716384i | ||||
\(849\) | 14.0882 | + | 2.26198i | 0.483505 | + | 0.0776311i | ||||
\(850\) | −9.67381 | + | 15.7967i | −0.331809 | + | 0.541822i | ||||
\(851\) | 9.19264 | + | 15.9221i | 0.315120 | + | 0.545803i | ||||
\(852\) | 0.0710103 | + | 0.454578i | 0.00243277 | + | 0.0155736i | ||||
\(853\) | −3.33257 | − | 31.7073i | −0.114105 | − | 1.08564i | −0.890372 | − | 0.455234i | \(-0.849556\pi\) |
0.776267 | − | 0.630404i | \(-0.217111\pi\) | |||||||
\(854\) | 7.89381 | − | 5.73519i | 0.270120 | − | 0.196254i | ||||
\(855\) | 47.6891 | − | 9.28318i | 1.63093 | − | 0.317478i | ||||
\(856\) | 1.32408 | + | 0.962001i | 0.0452561 | + | 0.0328805i | ||||
\(857\) | −8.94362 | + | 15.4908i | −0.305508 | + | 0.529156i | −0.977374 | − | 0.211517i | \(-0.932160\pi\) |
0.671866 | + | 0.740673i | \(0.265493\pi\) | |||||||
\(858\) | −7.93824 | + | 29.3766i | −0.271007 | + | 1.00290i | ||||
\(859\) | −48.3735 | + | 10.2821i | −1.65048 | + | 0.350821i | −0.936859 | − | 0.349707i | \(-0.886281\pi\) |
−0.713625 | + | 0.700528i | \(0.752948\pi\) | |||||||
\(860\) | 0.0793292 | − | 6.12899i | 0.00270510 | − | 0.208997i | ||||
\(861\) | −11.5728 | − | 4.47056i | −0.394400 | − | 0.152356i | ||||
\(862\) | 1.66852 | + | 1.85308i | 0.0568300 | + | 0.0631161i | ||||
\(863\) | −2.18086 | + | 6.71199i | −0.0742373 | + | 0.228479i | −0.981289 | − | 0.192540i | \(-0.938327\pi\) |
0.907052 | + | 0.421019i | \(0.138327\pi\) | |||||||
\(864\) | 4.86277 | − | 1.83124i | 0.165435 | − | 0.0623000i | ||||
\(865\) | −19.3198 | + | 16.9480i | −0.656893 | + | 0.576251i | ||||
\(866\) | 18.2955 | + | 20.3192i | 0.621705 | + | 0.690473i | ||||
\(867\) | −5.48276 | + | 1.45665i | −0.186204 | + | 0.0494703i | ||||
\(868\) | 5.67949 | + | 9.83717i | 0.192775 | + | 0.333895i | ||||
\(869\) | 9.66087 | − | 91.9170i | 0.327722 | − | 3.11807i | ||||
\(870\) | 8.85848 | − | 8.59555i | 0.300331 | − | 0.291416i | ||||
\(871\) | 0.282577 | + | 2.68854i | 0.00957477 | + | 0.0910978i | ||||
\(872\) | −12.8660 | + | 9.34771i | −0.435698 | + | 0.316553i | ||||
\(873\) | −0.0602090 | + | 14.1969i | −0.00203777 | + | 0.480491i | ||||
\(874\) | 16.4582 | 0.556708 | ||||||||
\(875\) | 37.8345 | − | 31.4949i | 1.27904 | − | 1.06472i | ||||
\(876\) | 15.6201 | + | 2.50794i | 0.527753 | + | 0.0847355i | ||||
\(877\) | −11.2896 | + | 12.5384i | −0.381223 | + | 0.423391i | −0.902966 | − | 0.429712i | \(-0.858615\pi\) |
0.521743 | + | 0.853103i | \(0.325282\pi\) | |||||||
\(878\) | −17.5180 | − | 7.79951i | −0.591204 | − | 0.263221i | ||||
\(879\) | −10.7878 | + | 5.46788i | −0.363864 | + | 0.184427i | ||||
\(880\) | −13.9847 | − | 1.65310i | −0.471423 | − | 0.0557261i | ||||
\(881\) | 14.9641 | + | 10.8721i | 0.504154 | + | 0.366290i | 0.810602 | − | 0.585598i | \(-0.199140\pi\) |
−0.306447 | + | 0.951888i | \(0.599140\pi\) | |||||||
\(882\) | −7.57198 | − | 36.3814i | −0.254962 | − | 1.22502i | ||||
\(883\) | −22.3532 | − | 16.2406i | −0.752245 | − | 0.546538i | 0.144277 | − | 0.989537i | \(-0.453914\pi\) |
−0.896522 | + | 0.442999i | \(0.853914\pi\) | |||||||
\(884\) | −6.91557 | − | 7.68051i | −0.232596 | − | 0.258324i | ||||
\(885\) | 14.5644 | + | 7.69942i | 0.489576 | + | 0.258813i | ||||
\(886\) | −3.75224 | + | 4.16729i | −0.126059 | + | 0.140003i | ||||
\(887\) | 19.1445 | − | 4.06929i | 0.642810 | − | 0.136633i | 0.125038 | − | 0.992152i | \(-0.460095\pi\) |
0.517772 | + | 0.855519i | \(0.326762\pi\) | |||||||
\(888\) | −7.60719 | − | 11.7686i | −0.255281 | − | 0.394929i | ||||
\(889\) | 25.1644 | + | 5.34886i | 0.843987 | + | 0.179395i | ||||
\(890\) | 8.25433 | + | 4.90916i | 0.276686 | + | 0.164555i | ||||
\(891\) | −51.5815 | − | 23.4918i | −1.72804 | − | 0.787005i | ||||
\(892\) | −16.7510 | − | 12.1703i | −0.560864 | − | 0.407492i | ||||
\(893\) | −20.5081 | + | 35.5210i | −0.686276 | + | 1.18866i | ||||
\(894\) | −3.34101 | + | 0.887633i | −0.111740 | + | 0.0296869i | ||||
\(895\) | 0.393742 | − | 30.4206i | 0.0131613 | − | 1.01685i | ||||
\(896\) | 4.02240 | + | 1.79089i | 0.134379 | + | 0.0598294i | ||||
\(897\) | 9.19627 | + | 5.99989i | 0.307054 | + | 0.200330i | ||||
\(898\) | −7.16665 | − | 1.52332i | −0.239154 | − | 0.0508338i | ||||
\(899\) | −8.22184 | −0.274214 | ||||||||
\(900\) | −3.55921 | + | 14.5716i | −0.118640 | + | 0.485721i | ||||
\(901\) | 37.1720 | 1.23838 | ||||||||
\(902\) | −10.0210 | − | 2.13002i | −0.333662 | − | 0.0709220i | ||||
\(903\) | 18.6468 | − | 9.45128i | 0.620528 | − | 0.314519i | ||||
\(904\) | 13.2045 | + | 5.87902i | 0.439175 | + | 0.195533i | ||||
\(905\) | 12.0194 | − | 3.73406i | 0.399538 | − | 0.124124i | ||||
\(906\) | −3.43940 | − | 3.45402i | −0.114267 | − | 0.114752i | ||||
\(907\) | 13.5486 | − | 23.4668i | 0.449873 | − | 0.779204i | −0.548504 | − | 0.836148i | \(-0.684802\pi\) |
0.998377 | + | 0.0569444i | \(0.0181358\pi\) | |||||||
\(908\) | 5.00856 | + | 3.63893i | 0.166215 | + | 0.120762i | ||||
\(909\) | −18.1416 | + | 24.7484i | −0.601720 | + | 0.820853i | ||||
\(910\) | 10.8460 | + | 25.2345i | 0.359542 | + | 0.836516i | ||||
\(911\) | 7.77133 | + | 1.65185i | 0.257476 | + | 0.0547281i | 0.334841 | − | 0.942275i | \(-0.391317\pi\) |
−0.0773652 | + | 0.997003i | \(0.524651\pi\) | |||||||
\(912\) | −12.5286 | + | 0.629958i | −0.414863 | + | 0.0208600i | ||||
\(913\) | 15.4884 | − | 3.29216i | 0.512590 | − | 0.108954i | ||||
\(914\) | 21.4312 | − | 23.8017i | 0.708880 | − | 0.787291i | ||||
\(915\) | −5.30013 | − | 6.75054i | −0.175217 | − | 0.223166i | ||||
\(916\) | 4.63640 | + | 5.14925i | 0.153191 | + | 0.170136i | ||||
\(917\) | 40.1125 | + | 29.1434i | 1.32463 | + | 0.962400i | ||||
\(918\) | 16.2109 | − | 10.3815i | 0.535039 | − | 0.342639i | ||||
\(919\) | 31.0381 | + | 22.5505i | 1.02385 | + | 0.743871i | 0.967069 | − | 0.254515i | \(-0.0819159\pi\) |
0.0567824 | + | 0.998387i | \(0.481916\pi\) | |||||||
\(920\) | −2.12668 | + | 4.61490i | −0.0701144 | + | 0.152149i | ||||
\(921\) | 2.47299 | − | 45.3474i | 0.0814877 | − | 1.49425i | ||||
\(922\) | 6.38187 | + | 2.84139i | 0.210176 | + | 0.0935763i | ||||
\(923\) | 0.495860 | − | 0.550708i | 0.0163214 | − | 0.0181268i | ||||
\(924\) | −17.1166 | − | 44.8745i | −0.563096 | − | 1.47626i | ||||
\(925\) | 40.4390 | + | 1.04700i | 1.32963 | + | 0.0344252i | ||||
\(926\) | 22.6561 | 0.744524 | ||||||||
\(927\) | 8.49599 | + | 4.95332i | 0.279045 | + | 0.162688i | ||||
\(928\) | −2.57835 | + | 1.87328i | −0.0846385 | + | 0.0614935i | ||||
\(929\) | 3.69570 | + | 35.1622i | 0.121252 | + | 1.15364i | 0.870784 | + | 0.491667i | \(0.163612\pi\) |
−0.749532 | + | 0.661969i | \(0.769721\pi\) | |||||||
\(930\) | 8.46058 | − | 5.31492i | 0.277433 | − | 0.174283i | ||||
\(931\) | −9.37756 | + | 89.2215i | −0.307337 | + | 2.92412i | ||||
\(932\) | −6.93213 | − | 12.0068i | −0.227069 | − | 0.393296i | ||||
\(933\) | 17.0433 | + | 17.1157i | 0.557971 | + | 0.560342i | ||||
\(934\) | −17.6789 | − | 19.6344i | −0.578470 | − | 0.642456i | ||||
\(935\) | −51.9499 | + | 4.78125i | −1.69894 | + | 0.156364i | ||||
\(936\) | −7.23017 | − | 4.21532i | −0.236325 | − | 0.137782i | ||||
\(937\) | 0.987238 | − | 3.03841i | 0.0322517 | − | 0.0992604i | −0.933635 | − | 0.358226i | \(-0.883382\pi\) |
0.965887 | + | 0.258966i | \(0.0833817\pi\) | |||||||
\(938\) | −2.85498 | − | 3.17078i | −0.0932186 | − | 0.103530i | ||||
\(939\) | 39.0558 | − | 31.4899i | 1.27454 | − | 1.02763i | ||||
\(940\) | −7.31014 | − | 10.3404i | −0.238431 | − | 0.337266i | ||||
\(941\) | −12.0157 | + | 2.55401i | −0.391699 | + | 0.0832582i | −0.399551 | − | 0.916711i | \(-0.630834\pi\) |
0.00785192 | + | 0.999969i | \(0.497501\pi\) | |||||||
\(942\) | 28.6472 | − | 7.61093i | 0.933377 | − | 0.247977i | ||||
\(943\) | −1.84837 | + | 3.20147i | −0.0601912 | + | 0.104254i | ||||
\(944\) | −3.44127 | − | 2.50023i | −0.112004 | − | 0.0813756i | ||||
\(945\) | −49.6622 | + | 12.2846i | −1.61551 | + | 0.399618i | ||||
\(946\) | 13.9662 | − | 10.1470i | 0.454080 | − | 0.329908i | ||||
\(947\) | −3.50659 | − | 33.3629i | −0.113949 | − | 1.08415i | −0.890778 | − | 0.454439i | \(-0.849840\pi\) |
0.776829 | − | 0.629711i | \(-0.216827\pi\) | |||||||
\(948\) | 23.7115 | + | 9.15973i | 0.770114 | + | 0.297494i | ||||
\(949\) | −12.7404 | − | 22.0671i | −0.413572 | − | 0.716328i | ||||
\(950\) | 18.9119 | − | 30.8819i | 0.613583 | − | 1.00194i | ||||
\(951\) | −14.6537 | − | 38.4174i | −0.475178 | − | 1.24577i | ||||
\(952\) | 15.9555 | + | 3.39145i | 0.517122 | + | 0.109918i | ||||
\(953\) | 40.6061 | − | 29.5020i | 1.31536 | − | 0.955665i | 0.315383 | − | 0.948965i | \(-0.397867\pi\) |
0.999978 | − | 0.00670051i | \(-0.00213285\pi\) | |||||||
\(954\) | 28.6673 | − | 9.18034i | 0.928137 | − | 0.297224i | ||||
\(955\) | −17.8602 | + | 1.64378i | −0.577942 | + | 0.0531914i | ||||
\(956\) | 2.99701 | − | 1.33435i | 0.0969302 | − | 0.0431561i | ||||
\(957\) | 34.3240 | + | 5.51103i | 1.10954 | + | 0.178146i | ||||
\(958\) | −2.36274 | + | 22.4800i | −0.0763367 | + | 0.726295i | ||||
\(959\) | 39.6667 | − | 8.43142i | 1.28091 | − | 0.272265i | ||||
\(960\) | 1.44226 | − | 3.59443i | 0.0465487 | − | 0.116010i | ||||
\(961\) | 23.8127 | + | 5.06154i | 0.768151 | + | 0.163276i | ||||
\(962\) | −6.97467 | + | 21.4658i | −0.224872 | + | 0.692086i | ||||
\(963\) | 4.88084 | + | 0.533935i | 0.157283 | + | 0.0172058i | ||||
\(964\) | −1.55353 | − | 4.78128i | −0.0500359 | − | 0.153995i | ||||
\(965\) | 29.3417 | + | 3.46843i | 0.944542 | + | 0.111653i | ||||
\(966\) | −17.3086 | + | 0.870305i | −0.556894 | + | 0.0280016i | ||||
\(967\) | 4.69342 | − | 44.6549i | 0.150930 | − | 1.43600i | −0.612682 | − | 0.790329i | \(-0.709909\pi\) |
0.763612 | − | 0.645675i | \(-0.223424\pi\) | |||||||
\(968\) | −14.3303 | − | 24.8209i | −0.460594 | − | 0.797773i | ||||
\(969\) | −44.9150 | + | 11.9329i | −1.44288 | + | 0.383340i | ||||
\(970\) | 7.77152 | + | 7.18179i | 0.249528 | + | 0.230593i | ||||
\(971\) | −2.73673 | + | 1.98835i | −0.0878258 | + | 0.0638092i | −0.630832 | − | 0.775920i | \(-0.717286\pi\) |
0.543006 | + | 0.839729i | \(0.317286\pi\) | |||||||
\(972\) | 9.93802 | − | 12.0098i | 0.318762 | − | 0.385215i | ||||
\(973\) | 0.0738050 | + | 0.227148i | 0.00236608 | + | 0.00728204i | ||||
\(974\) | −18.5421 | + | 32.1158i | −0.594127 | + | 1.02906i | ||||
\(975\) | 21.8254 | − | 10.3613i | 0.698971 | − | 0.331827i | ||||
\(976\) | 1.10801 | + | 1.91913i | 0.0354665 | + | 0.0614298i | ||||
\(977\) | 4.85140 | − | 5.38802i | 0.155210 | − | 0.172378i | −0.660525 | − | 0.750804i | \(-0.729666\pi\) |
0.815735 | + | 0.578426i | \(0.196333\pi\) | |||||||
\(978\) | −16.3712 | − | 10.6810i | −0.523494 | − | 0.341542i | ||||
\(979\) | 2.82732 | + | 26.9001i | 0.0903615 | + | 0.859732i | ||||
\(980\) | −23.8061 | − | 14.1584i | −0.760457 | − | 0.452273i | ||||
\(981\) | −19.5900 | + | 43.5024i | −0.625461 | + | 1.38893i | ||||
\(982\) | 20.9643 | 0.668996 | ||||||||
\(983\) | 11.9049 | − | 5.30042i | 0.379708 | − | 0.169057i | −0.208002 | − | 0.978128i | \(-0.566696\pi\) |
0.587710 | + | 0.809071i | \(0.300029\pi\) | |||||||
\(984\) | 1.28450 | − | 2.50782i | 0.0409485 | − | 0.0799463i | ||||
\(985\) | −0.725598 | + | 56.0598i | −0.0231195 | + | 1.78621i | ||||
\(986\) | −7.90036 | + | 8.77424i | −0.251599 | + | 0.279429i | ||||
\(987\) | 19.6893 | − | 38.4407i | 0.626718 | − | 1.22358i | ||||
\(988\) | 13.5196 | + | 15.0151i | 0.430117 | + | 0.477694i | ||||
\(989\) | −1.92494 | − | 5.92435i | −0.0612094 | − | 0.188383i | ||||
\(990\) | −38.8833 | + | 16.5173i | −1.23579 | + | 0.524956i | ||||
\(991\) | −2.65230 | + | 8.16293i | −0.0842530 | + | 0.259304i | −0.984304 | − | 0.176480i | \(-0.943529\pi\) |
0.900051 | + | 0.435784i | \(0.143529\pi\) | |||||||
\(992\) | −2.35676 | + | 1.04930i | −0.0748271 | + | 0.0333152i | ||||
\(993\) | −20.3617 | − | 53.3820i | −0.646158 | − | 1.69403i | ||||
\(994\) | −0.122257 | + | 1.16320i | −0.00387775 | + | 0.0368943i | ||||
\(995\) | −23.4670 | + | 31.4358i | −0.743954 | + | 0.996582i | ||||
\(996\) | −0.237141 | + | 4.34848i | −0.00751411 | + | 0.137787i | ||||
\(997\) | 1.75522 | + | 16.6998i | 0.0555883 | + | 0.528888i | 0.986514 | + | 0.163678i | \(0.0523359\pi\) |
−0.930925 | + | 0.365209i | \(0.880997\pi\) | |||||||
\(998\) | 5.53251 | + | 17.0273i | 0.175128 | + | 0.538990i | ||||
\(999\) | −37.3354 | − | 19.3235i | −1.18124 | − | 0.611367i |
(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 | 450.2.q.b.331.7 | yes | 112 | |
9.4 | even | 3 | inner | 450.2.q.b.31.14 | ✓ | 112 | |
25.21 | even | 5 | inner | 450.2.q.b.421.14 | yes | 112 | |
225.121 | even | 15 | inner | 450.2.q.b.121.7 | yes | 112 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
450.2.q.b.31.14 | ✓ | 112 | 9.4 | even | 3 | inner | |
450.2.q.b.121.7 | yes | 112 | 225.121 | even | 15 | inner | |
450.2.q.b.331.7 | yes | 112 | 1.1 | even | 1 | trivial | |
450.2.q.b.421.14 | yes | 112 | 25.21 | even | 5 | inner |