Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [670,2,Mod(81,670)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(670, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("670.81");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 670 = 2 \cdot 5 \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 670.k (of order \(11\), degree \(10\), 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: | \(5.34997693543\) |
Analytic rank: | \(0\) |
Dimension: | \(50\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{11})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 241.3 | ||
Character | \(\chi\) | \(=\) | 670.241 |
Dual form | 670.2.k.c.531.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/670\mathbb{Z}\right)^\times\).
\(n\) | \(471\) | \(537\) |
\(\chi(n)\) | \(e\left(\frac{3}{11}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.654861 | + | 0.755750i | 0.463056 | + | 0.534396i | ||||
\(3\) | −0.00970382 | + | 0.0212484i | −0.00560250 | + | 0.0122678i | −0.912413 | − | 0.409272i | \(-0.865783\pi\) |
0.906810 | + | 0.421539i | \(0.138510\pi\) | |||||||
\(4\) | −0.142315 | + | 0.989821i | −0.0711574 | + | 0.494911i | ||||
\(5\) | −0.959493 | − | 0.281733i | −0.429098 | − | 0.125995i | ||||
\(6\) | −0.0224131 | + | 0.00658109i | −0.00915012 | + | 0.00268672i | ||||
\(7\) | −1.24834 | − | 1.44066i | −0.471826 | − | 0.544517i | 0.469092 | − | 0.883149i | \(-0.344581\pi\) |
−0.940919 | + | 0.338632i | \(0.890036\pi\) | |||||||
\(8\) | −0.841254 | + | 0.540641i | −0.297428 | + | 0.191145i | ||||
\(9\) | 1.96422 | + | 2.26684i | 0.654742 | + | 0.755612i | ||||
\(10\) | −0.415415 | − | 0.909632i | −0.131366 | − | 0.287651i | ||||
\(11\) | −1.37329 | − | 0.403234i | −0.414063 | − | 0.121580i | 0.0680647 | − | 0.997681i | \(-0.478318\pi\) |
−0.482127 | + | 0.876101i | \(0.660136\pi\) | |||||||
\(12\) | −0.0196511 | − | 0.0126290i | −0.00567279 | − | 0.00364568i | ||||
\(13\) | 5.04255 | + | 3.24065i | 1.39855 | + | 0.898794i | 0.999833 | − | 0.0182793i | \(-0.00581882\pi\) |
0.398718 | + | 0.917074i | \(0.369455\pi\) | |||||||
\(14\) | 0.271289 | − | 1.88686i | 0.0725051 | − | 0.504284i | ||||
\(15\) | 0.0152971 | − | 0.0176538i | 0.00394970 | − | 0.00455820i | ||||
\(16\) | −0.959493 | − | 0.281733i | −0.239873 | − | 0.0704331i | ||||
\(17\) | 1.09518 | + | 7.61716i | 0.265621 | + | 1.84743i | 0.488470 | + | 0.872581i | \(0.337555\pi\) |
−0.222849 | + | 0.974853i | \(0.571536\pi\) | |||||||
\(18\) | −0.426867 | + | 2.96892i | −0.100613 | + | 0.699782i | ||||
\(19\) | −3.26325 | + | 3.76599i | −0.748641 | + | 0.863978i | −0.994436 | − | 0.105344i | \(-0.966406\pi\) |
0.245794 | + | 0.969322i | \(0.420951\pi\) | |||||||
\(20\) | 0.415415 | − | 0.909632i | 0.0928896 | − | 0.203400i | ||||
\(21\) | 0.0427253 | − | 0.0125453i | 0.00932342 | − | 0.00273760i | ||||
\(22\) | −0.594570 | − | 1.30193i | −0.126763 | − | 0.277572i | ||||
\(23\) | 0.220543 | − | 0.482923i | 0.0459865 | − | 0.100696i | −0.885244 | − | 0.465126i | \(-0.846009\pi\) |
0.931231 | + | 0.364430i | \(0.118736\pi\) | |||||||
\(24\) | −0.00332438 | − | 0.0231216i | −0.000678586 | − | 0.00471967i | ||||
\(25\) | 0.841254 | + | 0.540641i | 0.168251 | + | 0.108128i | ||||
\(26\) | 0.853048 | + | 5.93308i | 0.167296 | + | 1.16357i | ||||
\(27\) | −0.134467 | + | 0.0394829i | −0.0258781 | + | 0.00759849i | ||||
\(28\) | 1.60365 | − | 1.03060i | 0.303061 | − | 0.194766i | ||||
\(29\) | 6.38650 | 1.18594 | 0.592971 | − | 0.805224i | \(-0.297955\pi\) | ||||
0.592971 | + | 0.805224i | \(0.297955\pi\) | |||||||
\(30\) | 0.0233593 | 0.00426481 | ||||||||
\(31\) | −4.33410 | + | 2.78535i | −0.778427 | + | 0.500264i | −0.868511 | − | 0.495670i | \(-0.834923\pi\) |
0.0900846 | + | 0.995934i | \(0.471286\pi\) | |||||||
\(32\) | −0.415415 | − | 0.909632i | −0.0734357 | − | 0.160802i | ||||
\(33\) | 0.0218943 | − | 0.0252673i | 0.00381130 | − | 0.00439848i | ||||
\(34\) | −5.03948 | + | 5.81586i | −0.864263 | + | 0.997413i | ||||
\(35\) | 0.791889 | + | 1.73400i | 0.133854 | + | 0.293099i | ||||
\(36\) | −2.52330 | + | 1.62163i | −0.420550 | + | 0.270271i | ||||
\(37\) | −7.80267 | −1.28275 | −0.641376 | − | 0.767227i | \(-0.721636\pi\) | ||||
−0.641376 | + | 0.767227i | \(0.721636\pi\) | |||||||
\(38\) | −4.98312 | −0.808370 | ||||||||
\(39\) | −0.117791 | + | 0.0756994i | −0.0188616 | + | 0.0121216i | ||||
\(40\) | 0.959493 | − | 0.281733i | 0.151709 | − | 0.0445458i | ||||
\(41\) | 0.924878 | + | 6.43267i | 0.144442 | + | 1.00461i | 0.925118 | + | 0.379679i | \(0.123965\pi\) |
−0.780677 | + | 0.624935i | \(0.785125\pi\) | |||||||
\(42\) | 0.0374602 | + | 0.0240742i | 0.00578023 | + | 0.00371473i | ||||
\(43\) | −0.398910 | − | 2.77448i | −0.0608332 | − | 0.423104i | −0.997367 | − | 0.0725258i | \(-0.976894\pi\) |
0.936533 | − | 0.350579i | \(-0.114015\pi\) | |||||||
\(44\) | 0.594570 | − | 1.30193i | 0.0896348 | − | 0.196273i | ||||
\(45\) | −1.24602 | − | 2.72840i | −0.185745 | − | 0.406726i | ||||
\(46\) | 0.509394 | − | 0.149572i | 0.0751060 | − | 0.0220531i | ||||
\(47\) | 4.37818 | − | 9.58687i | 0.638623 | − | 1.39839i | −0.262546 | − | 0.964920i | \(-0.584562\pi\) |
0.901168 | − | 0.433469i | \(-0.142711\pi\) | |||||||
\(48\) | 0.0152971 | − | 0.0176538i | 0.00220795 | − | 0.00254811i | ||||
\(49\) | 0.479056 | − | 3.33191i | 0.0684366 | − | 0.475987i | ||||
\(50\) | 0.142315 | + | 0.989821i | 0.0201264 | + | 0.139982i | ||||
\(51\) | −0.172480 | − | 0.0506447i | −0.0241520 | − | 0.00709168i | ||||
\(52\) | −3.92529 | + | 4.53003i | −0.544340 | + | 0.628202i | ||||
\(53\) | 1.42090 | − | 9.88259i | 0.195176 | − | 1.35748i | −0.622870 | − | 0.782326i | \(-0.714033\pi\) |
0.818046 | − | 0.575153i | \(-0.195058\pi\) | |||||||
\(54\) | −0.117896 | − | 0.0757672i | −0.0160436 | − | 0.0103106i | ||||
\(55\) | 1.20406 | + | 0.773801i | 0.162355 | + | 0.104339i | ||||
\(56\) | 1.82904 | + | 0.537056i | 0.244416 | + | 0.0717671i | ||||
\(57\) | −0.0483554 | − | 0.105883i | −0.00640482 | − | 0.0140246i | ||||
\(58\) | 4.18227 | + | 4.82659i | 0.549158 | + | 0.633763i | ||||
\(59\) | 5.08648 | − | 3.26888i | 0.662204 | − | 0.425573i | −0.165904 | − | 0.986142i | \(-0.553054\pi\) |
0.828107 | + | 0.560569i | \(0.189418\pi\) | |||||||
\(60\) | 0.0152971 | + | 0.0176538i | 0.00197485 | + | 0.00227910i | ||||
\(61\) | 2.57240 | − | 0.755324i | 0.329362 | − | 0.0967094i | −0.112871 | − | 0.993610i | \(-0.536005\pi\) |
0.442233 | + | 0.896900i | \(0.354186\pi\) | |||||||
\(62\) | −4.94326 | − | 1.45147i | −0.627795 | − | 0.184337i | ||||
\(63\) | 0.813720 | − | 5.65954i | 0.102519 | − | 0.713036i | ||||
\(64\) | 0.415415 | − | 0.909632i | 0.0519269 | − | 0.113704i | ||||
\(65\) | −3.92529 | − | 4.53003i | −0.486873 | − | 0.561881i | ||||
\(66\) | 0.0334335 | 0.00411537 | ||||||||
\(67\) | 5.57911 | + | 5.98945i | 0.681596 | + | 0.731728i | ||||
\(68\) | −7.69549 | −0.933215 | ||||||||
\(69\) | 0.00812122 | + | 0.00937239i | 0.000977680 | + | 0.00112830i | ||||
\(70\) | −0.791889 | + | 1.73400i | −0.0946489 | + | 0.207252i | ||||
\(71\) | −2.27105 | + | 15.7955i | −0.269524 | + | 1.87458i | 0.183412 | + | 0.983036i | \(0.441286\pi\) |
−0.452936 | + | 0.891543i | \(0.649623\pi\) | |||||||
\(72\) | −2.87796 | − | 0.845044i | −0.339170 | − | 0.0995894i | ||||
\(73\) | 2.78050 | − | 0.816428i | 0.325433 | − | 0.0955557i | −0.114935 | − | 0.993373i | \(-0.536666\pi\) |
0.440368 | + | 0.897817i | \(0.354848\pi\) | |||||||
\(74\) | −5.10966 | − | 5.89687i | −0.593986 | − | 0.685497i | ||||
\(75\) | −0.0196511 | + | 0.0126290i | −0.00226912 | + | 0.00145827i | ||||
\(76\) | −3.26325 | − | 3.76599i | −0.374321 | − | 0.431989i | ||||
\(77\) | 1.13341 | + | 2.48181i | 0.129163 | + | 0.282829i | ||||
\(78\) | −0.134346 | − | 0.0394476i | −0.0152117 | − | 0.00446656i | ||||
\(79\) | −12.7910 | − | 8.22027i | −1.43910 | − | 0.924852i | −0.999647 | − | 0.0265859i | \(-0.991536\pi\) |
−0.439452 | − | 0.898266i | \(-0.644827\pi\) | |||||||
\(80\) | 0.841254 | + | 0.540641i | 0.0940550 | + | 0.0604455i | ||||
\(81\) | −1.28013 | + | 8.90353i | −0.142237 | + | 0.989281i | ||||
\(82\) | −4.25582 | + | 4.91148i | −0.469977 | + | 0.542382i | ||||
\(83\) | 12.9384 | + | 3.79907i | 1.42018 | + | 0.417002i | 0.899564 | − | 0.436789i | \(-0.143884\pi\) |
0.520615 | + | 0.853791i | \(0.325703\pi\) | |||||||
\(84\) | 0.00633714 | + | 0.0440758i | 0.000691438 | + | 0.00480906i | ||||
\(85\) | 1.09518 | − | 7.61716i | 0.118789 | − | 0.826197i | ||||
\(86\) | 1.83558 | − | 2.11838i | 0.197936 | − | 0.228430i | ||||
\(87\) | −0.0619734 | + | 0.135703i | −0.00664425 | + | 0.0145489i | ||||
\(88\) | 1.37329 | − | 0.403234i | 0.146393 | − | 0.0429849i | ||||
\(89\) | −2.97108 | − | 6.50577i | −0.314934 | − | 0.689610i | 0.684281 | − | 0.729218i | \(-0.260116\pi\) |
−0.999215 | + | 0.0396085i | \(0.987389\pi\) | |||||||
\(90\) | 1.24602 | − | 2.72840i | 0.131342 | − | 0.287599i | ||||
\(91\) | −1.62613 | − | 11.3100i | −0.170465 | − | 1.18561i | ||||
\(92\) | 0.446621 | + | 0.287026i | 0.0465634 | + | 0.0299245i | ||||
\(93\) | −0.0171270 | − | 0.119121i | −0.00177599 | − | 0.0123523i | ||||
\(94\) | 10.1124 | − | 2.96926i | 1.04301 | − | 0.306256i | ||||
\(95\) | 4.19207 | − | 2.69408i | 0.430097 | − | 0.276407i | ||||
\(96\) | 0.0233593 | 0.00238410 | ||||||||
\(97\) | −0.256826 | −0.0260767 | −0.0130383 | − | 0.999915i | \(-0.504150\pi\) | ||||
−0.0130383 | + | 0.999915i | \(0.504150\pi\) | |||||||
\(98\) | 2.83180 | − | 1.81989i | 0.286055 | − | 0.183837i | ||||
\(99\) | −1.78338 | − | 3.90507i | −0.179237 | − | 0.392474i | ||||
\(100\) | −0.654861 | + | 0.755750i | −0.0654861 | + | 0.0755750i | ||||
\(101\) | −7.06864 | + | 8.15765i | −0.703356 | + | 0.811716i | −0.989202 | − | 0.146560i | \(-0.953180\pi\) |
0.285846 | + | 0.958276i | \(0.407725\pi\) | |||||||
\(102\) | −0.0746757 | − | 0.163517i | −0.00739399 | − | 0.0161906i | ||||
\(103\) | 11.0971 | − | 7.13168i | 1.09343 | − | 0.702705i | 0.135809 | − | 0.990735i | \(-0.456637\pi\) |
0.957621 | + | 0.288030i | \(0.0930002\pi\) | |||||||
\(104\) | −5.99409 | −0.587769 | ||||||||
\(105\) | −0.0445290 | −0.00434559 | ||||||||
\(106\) | 8.39926 | − | 5.39788i | 0.815808 | − | 0.524288i | ||||
\(107\) | 2.22301 | − | 0.652735i | 0.214906 | − | 0.0631022i | −0.172507 | − | 0.985008i | \(-0.555187\pi\) |
0.387414 | + | 0.921906i | \(0.373369\pi\) | |||||||
\(108\) | −0.0199445 | − | 0.138717i | −0.00191916 | − | 0.0133480i | ||||
\(109\) | −2.18808 | − | 1.40619i | −0.209580 | − | 0.134689i | 0.431640 | − | 0.902046i | \(-0.357935\pi\) |
−0.641220 | + | 0.767357i | \(0.721571\pi\) | |||||||
\(110\) | 0.203691 | + | 1.41670i | 0.0194211 | + | 0.135077i | ||||
\(111\) | 0.0757157 | − | 0.165794i | 0.00718662 | − | 0.0157365i | ||||
\(112\) | 0.791889 | + | 1.73400i | 0.0748265 | + | 0.163847i | ||||
\(113\) | −0.649424 | + | 0.190688i | −0.0610927 | + | 0.0179384i | −0.312136 | − | 0.950037i | \(-0.601044\pi\) |
0.251043 | + | 0.967976i | \(0.419226\pi\) | |||||||
\(114\) | 0.0483554 | − | 0.105883i | 0.00452889 | − | 0.00991689i | ||||
\(115\) | −0.347665 | + | 0.401227i | −0.0324199 | + | 0.0374146i | ||||
\(116\) | −0.908893 | + | 6.32149i | −0.0843886 | + | 0.586936i | ||||
\(117\) | 2.55868 | + | 17.7960i | 0.236550 | + | 1.64524i | ||||
\(118\) | 5.80140 | + | 1.70344i | 0.534062 | + | 0.156815i | ||||
\(119\) | 9.60655 | − | 11.0866i | 0.880631 | − | 1.01630i | ||||
\(120\) | −0.00332438 | + | 0.0231216i | −0.000303473 | + | 0.00211070i | ||||
\(121\) | −7.53046 | − | 4.83953i | −0.684587 | − | 0.439958i | ||||
\(122\) | 2.25540 | + | 1.44946i | 0.204194 | + | 0.131228i | ||||
\(123\) | −0.145659 | − | 0.0427693i | −0.0131336 | − | 0.00385637i | ||||
\(124\) | −2.14020 | − | 4.68638i | −0.192195 | − | 0.420849i | ||||
\(125\) | −0.654861 | − | 0.755750i | −0.0585725 | − | 0.0675963i | ||||
\(126\) | 4.81007 | − | 3.09124i | 0.428515 | − | 0.275390i | ||||
\(127\) | 5.86705 | + | 6.77093i | 0.520616 | + | 0.600823i | 0.953785 | − | 0.300490i | \(-0.0971501\pi\) |
−0.433169 | + | 0.901313i | \(0.642605\pi\) | |||||||
\(128\) | 0.959493 | − | 0.281733i | 0.0848080 | − | 0.0249019i | ||||
\(129\) | 0.0628243 | + | 0.0184469i | 0.00553137 | + | 0.00162416i | ||||
\(130\) | 0.853048 | − | 5.93308i | 0.0748172 | − | 0.520365i | ||||
\(131\) | 0.469108 | − | 1.02720i | 0.0409861 | − | 0.0897471i | −0.888031 | − | 0.459783i | \(-0.847927\pi\) |
0.929018 | + | 0.370036i | \(0.120655\pi\) | |||||||
\(132\) | 0.0218943 | + | 0.0252673i | 0.00190565 | + | 0.00219924i | ||||
\(133\) | 9.49914 | 0.823679 | ||||||||
\(134\) | −0.872990 | + | 8.13867i | −0.0754149 | + | 0.703074i | ||||
\(135\) | 0.140143 | 0.0120616 | ||||||||
\(136\) | −5.03948 | − | 5.81586i | −0.432131 | − | 0.498706i | ||||
\(137\) | 7.11730 | − | 15.5847i | 0.608072 | − | 1.33149i | −0.315812 | − | 0.948822i | \(-0.602277\pi\) |
0.923885 | − | 0.382671i | \(-0.124996\pi\) | |||||||
\(138\) | −0.00176491 | + | 0.0122752i | −0.000150239 | + | 0.00104494i | ||||
\(139\) | −10.5847 | − | 3.10796i | −0.897786 | − | 0.263614i | −0.199895 | − | 0.979817i | \(-0.564060\pi\) |
−0.697891 | + | 0.716204i | \(0.745878\pi\) | |||||||
\(140\) | −1.82904 | + | 0.537056i | −0.154582 | + | 0.0453895i | ||||
\(141\) | 0.161221 | + | 0.186059i | 0.0135772 | + | 0.0156690i | ||||
\(142\) | −13.4247 | + | 8.62750i | −1.12657 | + | 0.724004i | ||||
\(143\) | −5.61814 | − | 6.48368i | −0.469813 | − | 0.542193i | ||||
\(144\) | −1.24602 | − | 2.72840i | −0.103835 | − | 0.227367i | ||||
\(145\) | −6.12780 | − | 1.79928i | −0.508886 | − | 0.149422i | ||||
\(146\) | 2.43786 | + | 1.56671i | 0.201758 | + | 0.129662i | ||||
\(147\) | 0.0661490 | + | 0.0425114i | 0.00545588 | + | 0.00350628i | ||||
\(148\) | 1.11044 | − | 7.72325i | 0.0912773 | − | 0.634847i | ||||
\(149\) | −1.36211 | + | 1.57196i | −0.111588 | + | 0.128780i | −0.808796 | − | 0.588090i | \(-0.799880\pi\) |
0.697207 | + | 0.716869i | \(0.254426\pi\) | |||||||
\(150\) | −0.0224131 | − | 0.00658109i | −0.00183002 | − | 0.000537344i | ||||
\(151\) | 0.214538 | + | 1.49214i | 0.0174588 | + | 0.121429i | 0.996687 | − | 0.0813325i | \(-0.0259176\pi\) |
−0.979228 | + | 0.202761i | \(0.935008\pi\) | |||||||
\(152\) | 0.709173 | − | 4.93240i | 0.0575215 | − | 0.400071i | ||||
\(153\) | −15.1157 | + | 17.4444i | −1.22203 | + | 1.41030i | ||||
\(154\) | −1.13341 | + | 2.48181i | −0.0913324 | + | 0.199990i | ||||
\(155\) | 4.94326 | − | 1.45147i | 0.397052 | − | 0.116585i | ||||
\(156\) | −0.0581656 | − | 0.127365i | −0.00465697 | − | 0.0101973i | ||||
\(157\) | 6.98641 | − | 15.2981i | 0.557576 | − | 1.22092i | −0.395577 | − | 0.918433i | \(-0.629455\pi\) |
0.953153 | − | 0.302488i | \(-0.0978173\pi\) | |||||||
\(158\) | −2.16385 | − | 15.0499i | −0.172147 | − | 1.19731i | ||||
\(159\) | 0.196201 | + | 0.126091i | 0.0155598 | + | 0.00999966i | ||||
\(160\) | 0.142315 | + | 0.989821i | 0.0112510 | + | 0.0782523i | ||||
\(161\) | −0.971038 | + | 0.285122i | −0.0765285 | + | 0.0224708i | ||||
\(162\) | −7.56715 | + | 4.86311i | −0.594532 | + | 0.382082i | ||||
\(163\) | −9.80318 | −0.767844 | −0.383922 | − | 0.923365i | \(-0.625427\pi\) | ||||
−0.383922 | + | 0.923365i | \(0.625427\pi\) | |||||||
\(164\) | −6.49881 | −0.507472 | ||||||||
\(165\) | −0.0281260 | + | 0.0180755i | −0.00218961 | + | 0.00140718i | ||||
\(166\) | 5.60174 | + | 12.2661i | 0.434779 | + | 0.952033i | ||||
\(167\) | 0.395506 | − | 0.456438i | 0.0306052 | − | 0.0353202i | −0.740241 | − | 0.672342i | \(-0.765288\pi\) |
0.770846 | + | 0.637022i | \(0.219834\pi\) | |||||||
\(168\) | −0.0291603 | + | 0.0336528i | −0.00224977 | + | 0.00259637i | ||||
\(169\) | 9.52509 | + | 20.8570i | 0.732699 | + | 1.60439i | ||||
\(170\) | 6.47386 | − | 4.16050i | 0.496522 | − | 0.319096i | ||||
\(171\) | −14.9467 | −1.14300 | ||||||||
\(172\) | 2.80301 | 0.213728 | ||||||||
\(173\) | 19.6361 | − | 12.6194i | 1.49291 | − | 0.959433i | 0.497125 | − | 0.867679i | \(-0.334389\pi\) |
0.995782 | − | 0.0917543i | \(-0.0292474\pi\) | |||||||
\(174\) | −0.143141 | + | 0.0420301i | −0.0108515 | + | 0.00318629i | ||||
\(175\) | −0.271289 | − | 1.88686i | −0.0205075 | − | 0.142633i | ||||
\(176\) | 1.20406 | + | 0.773801i | 0.0907593 | + | 0.0583275i | ||||
\(177\) | 0.0201003 | + | 0.139800i | 0.00151083 | + | 0.0105080i | ||||
\(178\) | 2.97108 | − | 6.50577i | 0.222692 | − | 0.487628i | ||||
\(179\) | 3.36960 | + | 7.37839i | 0.251856 | + | 0.551487i | 0.992759 | − | 0.120125i | \(-0.0383296\pi\) |
−0.740903 | + | 0.671612i | \(0.765602\pi\) | |||||||
\(180\) | 2.87796 | − | 0.845044i | 0.214510 | − | 0.0629859i | ||||
\(181\) | 4.75940 | − | 10.4216i | 0.353763 | − | 0.774634i | −0.646171 | − | 0.763193i | \(-0.723631\pi\) |
0.999935 | − | 0.0114413i | \(-0.00364194\pi\) | |||||||
\(182\) | 7.48263 | − | 8.63542i | 0.554650 | − | 0.640100i | ||||
\(183\) | −0.00891266 | + | 0.0619889i | −0.000658843 | + | 0.00458235i | ||||
\(184\) | 0.0755548 | + | 0.525495i | 0.00556997 | + | 0.0387400i | ||||
\(185\) | 7.48661 | + | 2.19827i | 0.550426 | + | 0.161620i | ||||
\(186\) | 0.0788100 | − | 0.0909516i | 0.00577863 | − | 0.00666889i | ||||
\(187\) | 1.56750 | − | 10.9022i | 0.114627 | − | 0.797247i | ||||
\(188\) | 8.86621 | + | 5.69797i | 0.646635 | + | 0.415567i | ||||
\(189\) | 0.224741 | + | 0.144432i | 0.0163475 | + | 0.0105059i | ||||
\(190\) | 4.78127 | + | 1.40391i | 0.346870 | + | 0.101850i | ||||
\(191\) | −6.27179 | − | 13.7333i | −0.453811 | − | 0.993707i | −0.988855 | − | 0.148883i | \(-0.952432\pi\) |
0.535044 | − | 0.844824i | \(-0.320295\pi\) | |||||||
\(192\) | 0.0152971 | + | 0.0176538i | 0.00110397 | + | 0.00127405i | ||||
\(193\) | −8.51583 | + | 5.47279i | −0.612983 | + | 0.393940i | −0.809974 | − | 0.586465i | \(-0.800519\pi\) |
0.196992 | + | 0.980405i | \(0.436883\pi\) | |||||||
\(194\) | −0.168185 | − | 0.194096i | −0.0120750 | − | 0.0139353i | ||||
\(195\) | 0.134346 | − | 0.0394476i | 0.00962073 | − | 0.00282490i | ||||
\(196\) | 3.22982 | + | 0.948360i | 0.230701 | + | 0.0677400i | ||||
\(197\) | −1.69958 | + | 11.8208i | −0.121090 | + | 0.842198i | 0.835235 | + | 0.549893i | \(0.185331\pi\) |
−0.956325 | + | 0.292305i | \(0.905578\pi\) | |||||||
\(198\) | 1.78338 | − | 3.90507i | 0.126740 | − | 0.277521i | ||||
\(199\) | 4.73283 | + | 5.46197i | 0.335501 | + | 0.387189i | 0.898284 | − | 0.439416i | \(-0.144815\pi\) |
−0.562783 | + | 0.826605i | \(0.690269\pi\) | |||||||
\(200\) | −1.00000 | −0.0707107 | ||||||||
\(201\) | −0.181405 | + | 0.0604265i | −0.0127953 | + | 0.00426216i | ||||
\(202\) | −10.7941 | −0.759471 | ||||||||
\(203\) | −7.97249 | − | 9.20074i | −0.559559 | − | 0.645766i | ||||
\(204\) | 0.0746757 | − | 0.163517i | 0.00522834 | − | 0.0114485i | ||||
\(205\) | 0.924878 | − | 6.43267i | 0.0645963 | − | 0.449277i | ||||
\(206\) | 12.6568 | + | 3.71638i | 0.881843 | + | 0.258932i | ||||
\(207\) | 1.52790 | − | 0.448633i | 0.106197 | − | 0.0311821i | ||||
\(208\) | −3.92529 | − | 4.53003i | −0.272170 | − | 0.314101i | ||||
\(209\) | 5.99997 | − | 3.85595i | 0.415027 | − | 0.266722i | ||||
\(210\) | −0.0291603 | − | 0.0336528i | −0.00201225 | − | 0.00232226i | ||||
\(211\) | 4.83259 | + | 10.5819i | 0.332689 | + | 0.728488i | 0.999865 | − | 0.0164123i | \(-0.00522442\pi\) |
−0.667176 | + | 0.744900i | \(0.732497\pi\) | |||||||
\(212\) | 9.57979 | + | 2.81288i | 0.657943 | + | 0.193189i | ||||
\(213\) | −0.313591 | − | 0.201533i | −0.0214869 | − | 0.0138088i | ||||
\(214\) | 1.94907 | + | 1.25259i | 0.133235 | + | 0.0856252i | ||||
\(215\) | −0.398910 | + | 2.77448i | −0.0272055 | + | 0.189218i | ||||
\(216\) | 0.0917744 | − | 0.105913i | 0.00624445 | − | 0.00720648i | ||||
\(217\) | 9.42314 | + | 2.76688i | 0.639684 | + | 0.187828i | ||||
\(218\) | −0.370157 | − | 2.57450i | −0.0250702 | − | 0.174367i | ||||
\(219\) | −0.00963367 | + | 0.0670037i | −0.000650983 | + | 0.00452769i | ||||
\(220\) | −0.937280 | + | 1.08168i | −0.0631914 | + | 0.0729268i | ||||
\(221\) | −19.1620 | + | 41.9590i | −1.28898 | + | 2.82247i | ||||
\(222\) | 0.174882 | − | 0.0513501i | 0.0117373 | − | 0.00344639i | ||||
\(223\) | −10.5489 | − | 23.0990i | −0.706410 | − | 1.54682i | −0.832022 | − | 0.554743i | \(-0.812817\pi\) |
0.125612 | − | 0.992079i | \(-0.459911\pi\) | |||||||
\(224\) | −0.791889 | + | 1.73400i | −0.0529103 | + | 0.115857i | ||||
\(225\) | 0.426867 | + | 2.96892i | 0.0284578 | + | 0.197928i | ||||
\(226\) | −0.569395 | − | 0.365928i | −0.0378756 | − | 0.0243412i | ||||
\(227\) | −1.65264 | − | 11.4944i | −0.109689 | − | 0.762907i | −0.968212 | − | 0.250131i | \(-0.919526\pi\) |
0.858523 | − | 0.512776i | \(-0.171383\pi\) | |||||||
\(228\) | 0.111687 | − | 0.0327944i | 0.00739668 | − | 0.00217186i | ||||
\(229\) | 20.1432 | − | 12.9452i | 1.33110 | − | 0.855445i | 0.334874 | − | 0.942263i | \(-0.391306\pi\) |
0.996224 | + | 0.0868180i | \(0.0276699\pi\) | |||||||
\(230\) | −0.530899 | −0.0350064 | ||||||||
\(231\) | −0.0637329 | −0.00419332 | ||||||||
\(232\) | −5.37266 | + | 3.45280i | −0.352733 | + | 0.226687i | ||||
\(233\) | −2.22456 | − | 4.87110i | −0.145736 | − | 0.319116i | 0.822661 | − | 0.568532i | \(-0.192489\pi\) |
−0.968396 | + | 0.249416i | \(0.919761\pi\) | |||||||
\(234\) | −11.7737 | + | 13.5876i | −0.769673 | + | 0.888250i | ||||
\(235\) | −6.90176 | + | 7.96506i | −0.450221 | + | 0.519583i | ||||
\(236\) | 2.51173 | + | 5.49992i | 0.163500 | + | 0.358014i | ||||
\(237\) | 0.298789 | − | 0.192020i | 0.0194084 | − | 0.0124730i | ||||
\(238\) | 14.6696 | 0.950890 | ||||||||
\(239\) | −0.440210 | −0.0284748 | −0.0142374 | − | 0.999899i | \(-0.504532\pi\) | ||||
−0.0142374 | + | 0.999899i | \(0.504532\pi\) | |||||||
\(240\) | −0.0196511 | + | 0.0126290i | −0.00126848 | + | 0.000815199i | ||||
\(241\) | −23.3227 | + | 6.84816i | −1.50235 | + | 0.441128i | −0.926457 | − | 0.376400i | \(-0.877162\pi\) |
−0.575888 | + | 0.817528i | \(0.695344\pi\) | |||||||
\(242\) | −1.27393 | − | 8.86036i | −0.0818912 | − | 0.569566i | ||||
\(243\) | −0.530452 | − | 0.340901i | −0.0340285 | − | 0.0218688i | ||||
\(244\) | 0.381546 | + | 2.65371i | 0.0244260 | + | 0.169886i | ||||
\(245\) | −1.39836 | + | 3.06198i | −0.0893378 | + | 0.195622i | ||||
\(246\) | −0.0630633 | − | 0.138089i | −0.00402077 | − | 0.00880426i | ||||
\(247\) | −28.6594 | + | 8.41515i | −1.82355 | + | 0.535443i | ||||
\(248\) | 2.14020 | − | 4.68638i | 0.135903 | − | 0.297585i | ||||
\(249\) | −0.206277 | + | 0.238056i | −0.0130723 | + | 0.0150862i | ||||
\(250\) | 0.142315 | − | 0.989821i | 0.00900078 | − | 0.0626018i | ||||
\(251\) | −3.11698 | − | 21.6790i | −0.196742 | − | 1.36837i | −0.813660 | − | 0.581342i | \(-0.802528\pi\) |
0.616918 | − | 0.787028i | \(-0.288381\pi\) | |||||||
\(252\) | 5.48613 | + | 1.61087i | 0.345594 | + | 0.101476i | ||||
\(253\) | −0.497601 | + | 0.574262i | −0.0312839 | + | 0.0361036i | ||||
\(254\) | −1.27503 | + | 8.86804i | −0.0800026 | + | 0.556430i | ||||
\(255\) | 0.151225 | + | 0.0971865i | 0.00947008 | + | 0.00608605i | ||||
\(256\) | 0.841254 | + | 0.540641i | 0.0525783 | + | 0.0337901i | ||||
\(257\) | 5.49958 | + | 1.61482i | 0.343054 | + | 0.100730i | 0.448721 | − | 0.893672i | \(-0.351880\pi\) |
−0.105667 | + | 0.994402i | \(0.533698\pi\) | |||||||
\(258\) | 0.0271999 | + | 0.0595595i | 0.00169339 | + | 0.00370802i | ||||
\(259\) | 9.74035 | + | 11.2410i | 0.605236 | + | 0.698480i | ||||
\(260\) | 5.04255 | − | 3.24065i | 0.312726 | − | 0.200976i | ||||
\(261\) | 12.5445 | + | 14.4771i | 0.776486 | + | 0.896113i | ||||
\(262\) | 1.08351 | − | 0.318147i | 0.0669394 | − | 0.0196552i | ||||
\(263\) | 28.1883 | + | 8.27683i | 1.73816 | + | 0.510371i | 0.988470 | − | 0.151414i | \(-0.0483826\pi\) |
0.749694 | + | 0.661785i | \(0.230201\pi\) | |||||||
\(264\) | −0.00475808 | + | 0.0330932i | −0.000292839 | + | 0.00203674i | ||||
\(265\) | −4.14759 | + | 9.08197i | −0.254785 | + | 0.557901i | ||||
\(266\) | 6.22061 | + | 7.17897i | 0.381410 | + | 0.440171i | ||||
\(267\) | 0.167068 | 0.0102244 | ||||||||
\(268\) | −6.72248 | + | 4.66993i | −0.410641 | + | 0.285261i | ||||
\(269\) | 22.0239 | 1.34282 | 0.671409 | − | 0.741087i | \(-0.265689\pi\) | ||||
0.671409 | + | 0.741087i | \(0.265689\pi\) | |||||||
\(270\) | 0.0917744 | + | 0.105913i | 0.00558521 | + | 0.00644568i | ||||
\(271\) | −3.27673 | + | 7.17503i | −0.199047 | + | 0.435852i | −0.982665 | − | 0.185391i | \(-0.940645\pi\) |
0.783618 | + | 0.621243i | \(0.213372\pi\) | |||||||
\(272\) | 1.09518 | − | 7.61716i | 0.0664052 | − | 0.461858i | ||||
\(273\) | 0.256099 | + | 0.0751974i | 0.0154998 | + | 0.00455116i | ||||
\(274\) | 16.4390 | − | 4.82692i | 0.993116 | − | 0.291605i | ||||
\(275\) | −0.937280 | − | 1.08168i | −0.0565201 | − | 0.0652277i | ||||
\(276\) | −0.0104328 | + | 0.00670473i | −0.000627979 | + | 0.000403577i | ||||
\(277\) | 0.565819 | + | 0.652990i | 0.0339968 | + | 0.0392343i | 0.772493 | − | 0.635023i | \(-0.219009\pi\) |
−0.738497 | + | 0.674257i | \(0.764464\pi\) | |||||||
\(278\) | −4.58269 | − | 10.0347i | −0.274852 | − | 0.601841i | ||||
\(279\) | −14.8271 | − | 4.35362i | −0.887674 | − | 0.260645i | ||||
\(280\) | −1.60365 | − | 1.03060i | −0.0958363 | − | 0.0615903i | ||||
\(281\) | −10.5791 | − | 6.79877i | −0.631095 | − | 0.405580i | 0.185620 | − | 0.982622i | \(-0.440571\pi\) |
−0.816715 | + | 0.577041i | \(0.804207\pi\) | |||||||
\(282\) | −0.0350366 | + | 0.243685i | −0.00208640 | + | 0.0145112i | ||||
\(283\) | 11.2958 | − | 13.0360i | 0.671463 | − | 0.774910i | −0.313141 | − | 0.949707i | \(-0.601381\pi\) |
0.984605 | + | 0.174797i | \(0.0559268\pi\) | |||||||
\(284\) | −15.3115 | − | 4.49586i | −0.908571 | − | 0.266780i | ||||
\(285\) | 0.0165658 | + | 0.115218i | 0.000981274 | + | 0.00682491i | ||||
\(286\) | 1.22094 | − | 8.49182i | 0.0721956 | − | 0.502132i | ||||
\(287\) | 8.11270 | − | 9.36255i | 0.478878 | − | 0.552654i | ||||
\(288\) | 1.24602 | − | 2.72840i | 0.0734223 | − | 0.160772i | ||||
\(289\) | −40.5104 | + | 11.8949i | −2.38296 | + | 0.699701i | ||||
\(290\) | −2.65305 | − | 5.80936i | −0.155792 | − | 0.341137i | ||||
\(291\) | 0.00249219 | − | 0.00545714i | 0.000146095 | − | 0.000319903i | ||||
\(292\) | 0.412412 | + | 2.86839i | 0.0241346 | + | 0.167860i | ||||
\(293\) | 27.2521 | + | 17.5139i | 1.59209 | + | 1.02317i | 0.970893 | + | 0.239513i | \(0.0769877\pi\) |
0.621192 | + | 0.783658i | \(0.286649\pi\) | |||||||
\(294\) | 0.0111904 | + | 0.0778312i | 0.000652639 | + | 0.00453921i | ||||
\(295\) | −5.80140 | + | 1.70344i | −0.337770 | + | 0.0991783i | ||||
\(296\) | 6.56403 | − | 4.21844i | 0.381526 | − | 0.245192i | ||||
\(297\) | 0.200582 | 0.0116390 | ||||||||
\(298\) | −2.08000 | −0.120491 | ||||||||
\(299\) | 2.67708 | − | 1.72046i | 0.154820 | − | 0.0994966i | ||||
\(300\) | −0.00970382 | − | 0.0212484i | −0.000560250 | − | 0.00122678i | ||||
\(301\) | −3.49910 | + | 4.03818i | −0.201685 | + | 0.232757i | ||||
\(302\) | −0.987193 | + | 1.13928i | −0.0568066 | + | 0.0655583i | ||||
\(303\) | −0.104744 | − | 0.229358i | −0.00601739 | − | 0.0131763i | ||||
\(304\) | 4.19207 | − | 2.69408i | 0.240432 | − | 0.154516i | ||||
\(305\) | −2.68100 | −0.153513 | ||||||||
\(306\) | −23.0823 | −1.31953 | ||||||||
\(307\) | −20.0055 | + | 12.8567i | −1.14177 | + | 0.733772i | −0.967984 | − | 0.251011i | \(-0.919237\pi\) |
−0.173788 | + | 0.984783i | \(0.555601\pi\) | |||||||
\(308\) | −2.61785 | + | 0.768670i | −0.149166 | + | 0.0437990i | ||||
\(309\) | 0.0438524 | + | 0.305000i | 0.00249468 | + | 0.0173509i | ||||
\(310\) | 4.33410 | + | 2.78535i | 0.246160 | + | 0.158197i | ||||
\(311\) | −3.42674 | − | 23.8335i | −0.194312 | − | 1.35147i | −0.820432 | − | 0.571745i | \(-0.806267\pi\) |
0.626119 | − | 0.779727i | \(-0.284642\pi\) | |||||||
\(312\) | 0.0581656 | − | 0.127365i | 0.00329298 | − | 0.00721061i | ||||
\(313\) | 2.52327 | + | 5.52519i | 0.142624 | + | 0.312302i | 0.967441 | − | 0.253097i | \(-0.0814493\pi\) |
−0.824817 | + | 0.565399i | \(0.808722\pi\) | |||||||
\(314\) | 16.1367 | − | 4.73815i | 0.910644 | − | 0.267389i | ||||
\(315\) | −2.37524 | + | 5.20104i | −0.133829 | + | 0.293045i | ||||
\(316\) | 9.95694 | − | 11.4909i | 0.560122 | − | 0.646415i | ||||
\(317\) | −4.31391 | + | 30.0039i | −0.242293 | + | 1.68519i | 0.398259 | + | 0.917273i | \(0.369614\pi\) |
−0.640553 | + | 0.767914i | \(0.721295\pi\) | |||||||
\(318\) | 0.0331914 | + | 0.230851i | 0.00186128 | + | 0.0129455i | ||||
\(319\) | −8.77051 | − | 2.57526i | −0.491055 | − | 0.144187i | ||||
\(320\) | −0.654861 | + | 0.755750i | −0.0366078 | + | 0.0422477i | ||||
\(321\) | −0.00770212 | + | 0.0535694i | −0.000429891 | + | 0.00298995i | ||||
\(322\) | −0.851375 | − | 0.547146i | −0.0474453 | − | 0.0304912i | ||||
\(323\) | −32.2601 | − | 20.7323i | −1.79500 | − | 1.15357i | ||||
\(324\) | −8.63073 | − | 2.53421i | −0.479485 | − | 0.140789i | ||||
\(325\) | 2.49003 | + | 5.45241i | 0.138122 | + | 0.302446i | ||||
\(326\) | −6.41972 | − | 7.40875i | −0.355555 | − | 0.410333i | ||||
\(327\) | 0.0511120 | − | 0.0328477i | 0.00282650 | − | 0.00181648i | ||||
\(328\) | −4.25582 | − | 4.91148i | −0.234988 | − | 0.271191i | ||||
\(329\) | −19.2768 | + | 5.66018i | −1.06277 | + | 0.312056i | ||||
\(330\) | −0.0320792 | − | 0.00941929i | −0.00176590 | − | 0.000518515i | ||||
\(331\) | −2.39234 | + | 16.6391i | −0.131495 | + | 0.914567i | 0.812113 | + | 0.583501i | \(0.198317\pi\) |
−0.943607 | + | 0.331066i | \(0.892592\pi\) | |||||||
\(332\) | −5.60174 | + | 12.2661i | −0.307435 | + | 0.673189i | ||||
\(333\) | −15.3262 | − | 17.6874i | −0.839871 | − | 0.969262i | ||||
\(334\) | 0.603954 | 0.0330469 | ||||||||
\(335\) | −3.66569 | − | 7.31866i | −0.200278 | − | 0.399861i | ||||
\(336\) | −0.0445290 | −0.00242926 | ||||||||
\(337\) | −6.29528 | − | 7.26514i | −0.342926 | − | 0.395757i | 0.557922 | − | 0.829894i | \(-0.311599\pi\) |
−0.900847 | + | 0.434137i | \(0.857054\pi\) | |||||||
\(338\) | −9.52509 | + | 20.8570i | −0.518096 | + | 1.13447i | ||||
\(339\) | 0.00225008 | − | 0.0156496i | 0.000122207 | − | 0.000849971i | ||||
\(340\) | 7.38377 | + | 2.16807i | 0.400441 | + | 0.117580i | ||||
\(341\) | 7.07512 | − | 2.07744i | 0.383139 | − | 0.112500i | ||||
\(342\) | −9.78798 | − | 11.2959i | −0.529273 | − | 0.610814i | ||||
\(343\) | −16.6237 | + | 10.6834i | −0.897595 | + | 0.576849i | ||||
\(344\) | 1.83558 | + | 2.11838i | 0.0989680 | + | 0.114215i | ||||
\(345\) | −0.00515175 | − | 0.0112808i | −0.000277361 | − | 0.000607336i | ||||
\(346\) | 22.3960 | + | 6.57606i | 1.20402 | + | 0.353531i | ||||
\(347\) | 4.11100 | + | 2.64198i | 0.220690 | + | 0.141829i | 0.646315 | − | 0.763071i | \(-0.276309\pi\) |
−0.425625 | + | 0.904900i | \(0.639946\pi\) | |||||||
\(348\) | −0.125502 | − | 0.0806552i | −0.00672761 | − | 0.00432357i | ||||
\(349\) | 2.01499 | − | 14.0146i | 0.107860 | − | 0.750184i | −0.862068 | − | 0.506793i | \(-0.830831\pi\) |
0.969928 | − | 0.243391i | \(-0.0782599\pi\) | |||||||
\(350\) | 1.24834 | − | 1.44066i | 0.0667263 | − | 0.0770063i | ||||
\(351\) | −0.806004 | − | 0.236664i | −0.0430213 | − | 0.0126322i | ||||
\(352\) | 0.203691 | + | 1.41670i | 0.0108567 | + | 0.0755103i | ||||
\(353\) | −2.58748 | + | 17.9963i | −0.137718 | + | 0.957847i | 0.797385 | + | 0.603471i | \(0.206216\pi\) |
−0.935103 | + | 0.354376i | \(0.884693\pi\) | |||||||
\(354\) | −0.0924912 | + | 0.106741i | −0.00491585 | + | 0.00567319i | ||||
\(355\) | 6.62916 | − | 14.5158i | 0.351839 | − | 0.770420i | ||||
\(356\) | 6.86238 | − | 2.01498i | 0.363705 | − | 0.106794i | ||||
\(357\) | 0.142351 | + | 0.311706i | 0.00753403 | + | 0.0164972i | ||||
\(358\) | −3.36960 | + | 7.37839i | −0.178089 | + | 0.389960i | ||||
\(359\) | 4.61778 | + | 32.1173i | 0.243717 | + | 1.69509i | 0.633146 | + | 0.774032i | \(0.281763\pi\) |
−0.389430 | + | 0.921056i | \(0.627328\pi\) | |||||||
\(360\) | 2.52330 | + | 1.62163i | 0.132990 | + | 0.0854673i | ||||
\(361\) | −0.829913 | − | 5.77217i | −0.0436796 | − | 0.303799i | ||||
\(362\) | 10.9929 | − | 3.22780i | 0.577773 | − | 0.169650i | ||||
\(363\) | 0.175907 | − | 0.113048i | 0.00923270 | − | 0.00593350i | ||||
\(364\) | 11.4263 | 0.598901 | ||||||||
\(365\) | −2.89788 | −0.151682 | ||||||||
\(366\) | −0.0526846 | + | 0.0338584i | −0.00275387 | + | 0.00176980i | ||||
\(367\) | 11.4294 | + | 25.0268i | 0.596607 | + | 1.30639i | 0.931366 | + | 0.364084i | \(0.118618\pi\) |
−0.334759 | + | 0.942304i | \(0.608655\pi\) | |||||||
\(368\) | −0.347665 | + | 0.401227i | −0.0181233 | + | 0.0209154i | ||||
\(369\) | −12.7651 | + | 14.7317i | −0.664526 | + | 0.766904i | ||||
\(370\) | 3.24135 | + | 7.09756i | 0.168510 | + | 0.368985i | ||||
\(371\) | −16.0112 | + | 10.2898i | −0.831259 | + | 0.534218i | ||||
\(372\) | 0.120346 | 0.00623966 | ||||||||
\(373\) | 8.11941 | 0.420407 | 0.210204 | − | 0.977658i | \(-0.432587\pi\) | ||||
0.210204 | + | 0.977658i | \(0.432587\pi\) | |||||||
\(374\) | 9.26582 | − | 5.95478i | 0.479124 | − | 0.307914i | ||||
\(375\) | 0.0224131 | − | 0.00658109i | 0.00115741 | − | 0.000339846i | ||||
\(376\) | 1.49990 | + | 10.4320i | 0.0773513 | + | 0.537990i | ||||
\(377\) | 32.2042 | + | 20.6964i | 1.65860 | + | 1.06592i | ||||
\(378\) | 0.0380194 | + | 0.264431i | 0.00195551 | + | 0.0136008i | ||||
\(379\) | −4.39315 | + | 9.61966i | −0.225661 | + | 0.494129i | −0.988267 | − | 0.152734i | \(-0.951192\pi\) |
0.762606 | + | 0.646863i | \(0.223919\pi\) | |||||||
\(380\) | 2.07006 | + | 4.53281i | 0.106192 | + | 0.232528i | ||||
\(381\) | −0.200804 | + | 0.0589615i | −0.0102875 | + | 0.00302069i | ||||
\(382\) | 6.27179 | − | 13.7333i | 0.320893 | − | 0.702657i | ||||
\(383\) | 3.45702 | − | 3.98961i | 0.176645 | − | 0.203860i | −0.660522 | − | 0.750807i | \(-0.729665\pi\) |
0.837167 | + | 0.546947i | \(0.184210\pi\) | |||||||
\(384\) | −0.00332438 | + | 0.0231216i | −0.000169647 | + | 0.00117992i | ||||
\(385\) | −0.388287 | − | 2.70060i | −0.0197890 | − | 0.137635i | ||||
\(386\) | −9.71274 | − | 2.85192i | −0.494365 | − | 0.145159i | ||||
\(387\) | 5.50575 | − | 6.35397i | 0.279873 | − | 0.322990i | ||||
\(388\) | 0.0365501 | − | 0.254212i | 0.00185555 | − | 0.0129056i | ||||
\(389\) | 12.9450 | + | 8.31926i | 0.656339 | + | 0.421803i | 0.825978 | − | 0.563703i | \(-0.190624\pi\) |
−0.169639 | + | 0.985506i | \(0.554260\pi\) | |||||||
\(390\) | 0.117791 | + | 0.0756994i | 0.00596456 | + | 0.00383319i | ||||
\(391\) | 3.92004 | + | 1.15103i | 0.198245 | + | 0.0582099i | ||||
\(392\) | 1.39836 | + | 3.06198i | 0.0706277 | + | 0.154653i | ||||
\(393\) | 0.0172743 | + | 0.0199356i | 0.000871372 | + | 0.00100562i | ||||
\(394\) | −10.0466 | + | 6.45653i | −0.506138 | + | 0.325275i | ||||
\(395\) | 9.95694 | + | 11.4909i | 0.500988 | + | 0.578171i | ||||
\(396\) | 4.11912 | − | 1.20948i | 0.206994 | − | 0.0607788i | ||||
\(397\) | −26.4894 | − | 7.77800i | −1.32947 | − | 0.390367i | −0.461567 | − | 0.887105i | \(-0.652713\pi\) |
−0.867900 | + | 0.496739i | \(0.834531\pi\) | |||||||
\(398\) | −1.02854 | + | 7.15366i | −0.0515561 | + | 0.358581i | ||||
\(399\) | −0.0921779 | + | 0.201841i | −0.00461467 | + | 0.0101047i | ||||
\(400\) | −0.654861 | − | 0.755750i | −0.0327430 | − | 0.0377875i | ||||
\(401\) | 0.147474 | 0.00736448 | 0.00368224 | − | 0.999993i | \(-0.498828\pi\) | ||||
0.00368224 | + | 0.999993i | \(0.498828\pi\) | |||||||
\(402\) | −0.164462 | − | 0.0975258i | −0.00820264 | − | 0.00486415i | ||||
\(403\) | −30.8812 | −1.53830 | ||||||||
\(404\) | −7.06864 | − | 8.15765i | −0.351678 | − | 0.405858i | ||||
\(405\) | 3.73670 | − | 8.18222i | 0.185678 | − | 0.406578i | ||||
\(406\) | 1.73259 | − | 12.0504i | 0.0859869 | − | 0.598052i | ||||
\(407\) | 10.7153 | + | 3.14631i | 0.531139 | + | 0.155957i | ||||
\(408\) | 0.172480 | − | 0.0506447i | 0.00853903 | − | 0.00250729i | ||||
\(409\) | −6.74828 | − | 7.78793i | −0.333681 | − | 0.385088i | 0.563970 | − | 0.825795i | \(-0.309273\pi\) |
−0.897651 | + | 0.440707i | \(0.854728\pi\) | |||||||
\(410\) | 5.46715 | − | 3.51352i | 0.270003 | − | 0.173521i | ||||
\(411\) | 0.262085 | + | 0.302463i | 0.0129277 | + | 0.0149194i | ||||
\(412\) | 5.47981 | + | 11.9991i | 0.269971 | + | 0.591153i | ||||
\(413\) | −11.0590 | − | 3.24721i | −0.544177 | − | 0.159785i | ||||
\(414\) | 1.33962 | + | 0.860920i | 0.0658386 | + | 0.0423119i | ||||
\(415\) | −11.3440 | − | 7.29036i | −0.556856 | − | 0.357870i | ||||
\(416\) | 0.853048 | − | 5.93308i | 0.0418241 | − | 0.290893i | ||||
\(417\) | 0.168752 | − | 0.194750i | 0.00826381 | − | 0.00953694i | ||||
\(418\) | 6.84328 | + | 2.00937i | 0.334716 | + | 0.0982814i | ||||
\(419\) | 3.94421 | + | 27.4326i | 0.192687 | + | 1.34017i | 0.824858 | + | 0.565340i | \(0.191255\pi\) |
−0.632171 | + | 0.774829i | \(0.717836\pi\) | |||||||
\(420\) | 0.00633714 | − | 0.0440758i | 0.000309221 | − | 0.00215068i | ||||
\(421\) | 5.14397 | − | 5.93645i | 0.250702 | − | 0.289325i | −0.616424 | − | 0.787414i | \(-0.711419\pi\) |
0.867126 | + | 0.498089i | \(0.165965\pi\) | |||||||
\(422\) | −4.83259 | + | 10.5819i | −0.235247 | + | 0.515119i | ||||
\(423\) | 30.3316 | − | 8.90616i | 1.47477 | − | 0.433032i | ||||
\(424\) | 4.14759 | + | 9.08197i | 0.201425 | + | 0.441059i | ||||
\(425\) | −3.19682 | + | 7.00007i | −0.155069 | + | 0.339553i | ||||
\(426\) | −0.0530502 | − | 0.368972i | −0.00257029 | − | 0.0178768i | ||||
\(427\) | −4.29938 | − | 2.76304i | −0.208061 | − | 0.133713i | ||||
\(428\) | 0.329723 | + | 2.29328i | 0.0159378 | + | 0.110850i | ||||
\(429\) | 0.192285 | − | 0.0564601i | 0.00928362 | − | 0.00272592i | ||||
\(430\) | −2.35804 | + | 1.51542i | −0.113715 | + | 0.0730802i | ||||
\(431\) | 5.40578 | 0.260387 | 0.130194 | − | 0.991489i | \(-0.458440\pi\) | ||||
0.130194 | + | 0.991489i | \(0.458440\pi\) | |||||||
\(432\) | 0.140143 | 0.00674265 | ||||||||
\(433\) | 3.44930 | − | 2.21673i | 0.165763 | − | 0.106529i | −0.455129 | − | 0.890425i | \(-0.650407\pi\) |
0.620892 | + | 0.783896i | \(0.286771\pi\) | |||||||
\(434\) | 4.07977 | + | 8.93346i | 0.195835 | + | 0.428820i | ||||
\(435\) | 0.0976950 | − | 0.112746i | 0.00468412 | − | 0.00540576i | ||||
\(436\) | 1.70327 | − | 1.96568i | 0.0815721 | − | 0.0941392i | ||||
\(437\) | 1.09900 | + | 2.40646i | 0.0525721 | + | 0.115117i | ||||
\(438\) | −0.0569467 | + | 0.0365974i | −0.00272102 | + | 0.00174869i | ||||
\(439\) | 16.8876 | 0.806002 | 0.403001 | − | 0.915200i | \(-0.367967\pi\) | ||||
0.403001 | + | 0.915200i | \(0.367967\pi\) | |||||||
\(440\) | −1.43127 | −0.0682330 | ||||||||
\(441\) | 8.49386 | − | 5.45867i | 0.404470 | − | 0.259937i | ||||
\(442\) | −44.2590 | + | 12.9956i | −2.10518 | + | 0.618138i | ||||
\(443\) | −4.69631 | − | 32.6635i | −0.223128 | − | 1.55189i | −0.726100 | − | 0.687589i | \(-0.758669\pi\) |
0.502972 | − | 0.864303i | \(-0.332240\pi\) | |||||||
\(444\) | 0.153331 | + | 0.0985401i | 0.00727678 | + | 0.00467650i | ||||
\(445\) | 1.01785 | + | 7.07929i | 0.0482506 | + | 0.335590i | ||||
\(446\) | 10.5489 | − | 23.0990i | 0.499507 | − | 1.09377i | ||||
\(447\) | −0.0201839 | − | 0.0441967i | −0.000954667 | − | 0.00209043i | ||||
\(448\) | −1.82904 | + | 0.537056i | −0.0864142 | + | 0.0253735i | ||||
\(449\) | 6.03666 | − | 13.2184i | 0.284888 | − | 0.623817i | −0.712041 | − | 0.702138i | \(-0.752229\pi\) |
0.996928 | + | 0.0783215i | \(0.0249561\pi\) | |||||||
\(450\) | −1.96422 | + | 2.26684i | −0.0925944 | + | 0.106860i | ||||
\(451\) | 1.32375 | − | 9.20686i | 0.0623328 | − | 0.433534i | ||||
\(452\) | −0.0963245 | − | 0.669952i | −0.00453072 | − | 0.0315119i | ||||
\(453\) | −0.0337875 | − | 0.00992090i | −0.00158747 | − | 0.000466124i | ||||
\(454\) | 7.60460 | − | 8.77618i | 0.356902 | − | 0.411887i | ||||
\(455\) | −1.62613 | + | 11.3100i | −0.0762342 | + | 0.530221i | ||||
\(456\) | 0.0979240 | + | 0.0629320i | 0.00458571 | + | 0.00294706i | ||||
\(457\) | −14.8698 | − | 9.55621i | −0.695578 | − | 0.447021i | 0.144487 | − | 0.989507i | \(-0.453847\pi\) |
−0.840065 | + | 0.542486i | \(0.817483\pi\) | |||||||
\(458\) | 22.9743 | + | 6.74587i | 1.07352 | + | 0.315214i | ||||
\(459\) | −0.448013 | − | 0.981012i | −0.0209115 | − | 0.0457897i | ||||
\(460\) | −0.347665 | − | 0.401227i | −0.0162100 | − | 0.0187073i | ||||
\(461\) | −1.52962 | + | 0.983028i | −0.0712416 | + | 0.0457842i | −0.575777 | − | 0.817607i | \(-0.695300\pi\) |
0.504535 | + | 0.863391i | \(0.331664\pi\) | |||||||
\(462\) | −0.0417362 | − | 0.0481661i | −0.00194174 | − | 0.00224089i | ||||
\(463\) | −18.9287 | + | 5.55797i | −0.879692 | + | 0.258301i | −0.690233 | − | 0.723588i | \(-0.742492\pi\) |
−0.189460 | + | 0.981889i | \(0.560674\pi\) | |||||||
\(464\) | −6.12780 | − | 1.79928i | −0.284476 | − | 0.0835297i | ||||
\(465\) | −0.0171270 | + | 0.119121i | −0.000794248 | + | 0.00552411i | ||||
\(466\) | 2.22456 | − | 4.87110i | 0.103051 | − | 0.225649i | ||||
\(467\) | −16.2192 | − | 18.7179i | −0.750534 | − | 0.866162i | 0.244086 | − | 0.969754i | \(-0.421512\pi\) |
−0.994620 | + | 0.103591i | \(0.966967\pi\) | |||||||
\(468\) | −17.9790 | −0.831079 | ||||||||
\(469\) | 1.66415 | − | 15.5144i | 0.0768432 | − | 0.716389i | ||||
\(470\) | −10.5393 | −0.486141 | ||||||||
\(471\) | 0.257265 | + | 0.296900i | 0.0118542 | + | 0.0136804i | ||||
\(472\) | −2.51173 | + | 5.49992i | −0.115612 | + | 0.253154i | ||||
\(473\) | −0.570947 | + | 3.97102i | −0.0262522 | + | 0.182588i | ||||
\(474\) | 0.340784 | + | 0.100063i | 0.0156527 | + | 0.00459606i | ||||
\(475\) | −4.78127 | + | 1.40391i | −0.219380 | + | 0.0644157i | ||||
\(476\) | 9.60655 | + | 11.0866i | 0.440316 | + | 0.508151i | ||||
\(477\) | 25.1932 | − | 16.1907i | 1.15352 | − | 0.741321i | ||||
\(478\) | −0.288276 | − | 0.332688i | −0.0131854 | − | 0.0152168i | ||||
\(479\) | 6.80351 | + | 14.8976i | 0.310860 | + | 0.680689i | 0.998992 | − | 0.0448973i | \(-0.0142961\pi\) |
−0.688132 | + | 0.725586i | \(0.741569\pi\) | |||||||
\(480\) | −0.0224131 | − | 0.00658109i | −0.00102301 | − | 0.000300384i | ||||
\(481\) | −39.3453 | − | 25.2857i | −1.79399 | − | 1.15293i | ||||
\(482\) | −20.4486 | − | 13.1415i | −0.931408 | − | 0.598580i | ||||
\(483\) | 0.00336438 | − | 0.0233998i | 0.000153085 | − | 0.00106473i | ||||
\(484\) | 5.86197 | − | 6.76507i | 0.266453 | − | 0.307503i | ||||
\(485\) | 0.246422 | + | 0.0723562i | 0.0111895 | + | 0.00328552i | ||||
\(486\) | −0.0897365 | − | 0.624131i | −0.00407053 | − | 0.0283112i | ||||
\(487\) | 2.31397 | − | 16.0940i | 0.104856 | − | 0.729290i | −0.867779 | − | 0.496951i | \(-0.834453\pi\) |
0.972635 | − | 0.232339i | \(-0.0746379\pi\) | |||||||
\(488\) | −1.75568 | + | 2.02616i | −0.0794759 | + | 0.0917201i | ||||
\(489\) | 0.0951283 | − | 0.208302i | 0.00430185 | − | 0.00941974i | ||||
\(490\) | −3.22982 | + | 0.948360i | −0.145908 | + | 0.0428425i | ||||
\(491\) | 8.83055 | + | 19.3362i | 0.398517 | + | 0.872631i | 0.997418 | + | 0.0718081i | \(0.0228769\pi\) |
−0.598901 | + | 0.800823i | \(0.704396\pi\) | |||||||
\(492\) | 0.0630633 | − | 0.138089i | 0.00284311 | − | 0.00622555i | ||||
\(493\) | 6.99438 | + | 48.6470i | 0.315011 | + | 2.19095i | ||||
\(494\) | −25.1276 | − | 16.1486i | −1.13055 | − | 0.726558i | ||||
\(495\) | 0.610960 | + | 4.24932i | 0.0274606 | + | 0.190993i | ||||
\(496\) | 4.94326 | − | 1.45147i | 0.221959 | − | 0.0651730i | ||||
\(497\) | 25.5909 | − | 16.4463i | 1.14791 | − | 0.737716i | ||||
\(498\) | −0.314993 | −0.0141152 | ||||||||
\(499\) | 38.8495 | 1.73914 | 0.869571 | − | 0.493808i | \(-0.164395\pi\) | ||||
0.869571 | + | 0.493808i | \(0.164395\pi\) | |||||||
\(500\) | 0.841254 | − | 0.540641i | 0.0376220 | − | 0.0241782i | ||||
\(501\) | 0.00586066 | + | 0.0128331i | 0.000261835 | + | 0.000573339i | ||||
\(502\) | 14.3427 | − | 16.5524i | 0.640148 | − | 0.738770i | ||||
\(503\) | 12.8249 | − | 14.8007i | 0.571832 | − | 0.659929i | −0.393996 | − | 0.919112i | \(-0.628908\pi\) |
0.965828 | + | 0.259183i | \(0.0834532\pi\) | |||||||
\(504\) | 2.37524 | + | 5.20104i | 0.105801 | + | 0.231673i | ||||
\(505\) | 9.08058 | − | 5.83574i | 0.404081 | − | 0.259687i | ||||
\(506\) | −0.759858 | −0.0337798 | ||||||||
\(507\) | −0.535608 | −0.0237872 | ||||||||
\(508\) | −7.53698 | + | 4.84372i | −0.334400 | + | 0.214906i | ||||
\(509\) | 9.84650 | − | 2.89119i | 0.436438 | − | 0.128150i | −0.0561303 | − | 0.998423i | \(-0.517876\pi\) |
0.492569 | + | 0.870274i | \(0.336058\pi\) | |||||||
\(510\) | 0.0255827 | + | 0.177932i | 0.00113282 | + | 0.00787896i | ||||
\(511\) | −4.64719 | − | 2.98657i | −0.205580 | − | 0.132118i | ||||
\(512\) | 0.142315 | + | 0.989821i | 0.00628949 | + | 0.0437443i | ||||
\(513\) | 0.290106 | − | 0.635243i | 0.0128085 | − | 0.0280467i | ||||
\(514\) | 2.38106 | + | 5.21379i | 0.105024 | + | 0.229970i | ||||
\(515\) | −12.6568 | + | 3.71638i | −0.557726 | + | 0.163763i | ||||
\(516\) | −0.0271999 | + | 0.0595595i | −0.00119741 | + | 0.00262196i | ||||
\(517\) | −9.87827 | + | 11.4001i | −0.434446 | + | 0.501377i | ||||
\(518\) | −2.11678 | + | 14.7225i | −0.0930060 | + | 0.646871i | ||||
\(519\) | 0.0775961 | + | 0.539693i | 0.00340609 | + | 0.0236899i | ||||
\(520\) | 5.75129 | + | 1.68873i | 0.252211 | + | 0.0740557i | ||||
\(521\) | 0.0616937 | − | 0.0711983i | 0.00270285 | − | 0.00311925i | −0.754397 | − | 0.656419i | \(-0.772070\pi\) |
0.757099 | + | 0.653300i | \(0.226616\pi\) | |||||||
\(522\) | −2.72618 | + | 18.9610i | −0.119322 | + | 0.829901i | ||||
\(523\) | 28.7408 | + | 18.4706i | 1.25675 | + | 0.807662i | 0.987835 | − | 0.155503i | \(-0.0497000\pi\) |
0.268911 | + | 0.963165i | \(0.413336\pi\) | |||||||
\(524\) | 0.949986 | + | 0.610519i | 0.0415003 | + | 0.0266706i | ||||
\(525\) | 0.0427253 | + | 0.0125453i | 0.00186468 | + | 0.000547520i | ||||
\(526\) | 12.2042 | + | 26.7235i | 0.532128 | + | 1.16520i | ||||
\(527\) | −25.9631 | − | 29.9630i | −1.13097 | − | 1.30521i | ||||
\(528\) | −0.0281260 | + | 0.0180755i | −0.00122403 | + | 0.000786635i | ||||
\(529\) | 14.8772 | + | 17.1692i | 0.646836 | + | 0.746488i | ||||
\(530\) | −9.57979 | + | 2.81288i | −0.416119 | + | 0.122184i | ||||
\(531\) | 17.4010 | + | 5.10940i | 0.755140 | + | 0.221729i | ||||
\(532\) | −1.35187 | + | 9.40245i | −0.0586109 | + | 0.407648i | ||||
\(533\) | −16.1823 | + | 35.4342i | −0.700932 | + | 1.53483i | ||||
\(534\) | 0.109406 | + | 0.126262i | 0.00473447 | + | 0.00546387i | ||||
\(535\) | −2.31686 | −0.100167 | ||||||||
\(536\) | −7.93159 | − | 2.02236i | −0.342592 | − | 0.0873525i | ||||
\(537\) | −0.189477 | −0.00817654 | ||||||||
\(538\) | 14.4226 | + | 16.6445i | 0.621801 | + | 0.717596i | ||||
\(539\) | −2.00142 | + | 4.38250i | −0.0862074 | + | 0.188768i | ||||
\(540\) | −0.0199445 | + | 0.138717i | −0.000858273 | + | 0.00596942i | ||||
\(541\) | 27.4817 | + | 8.06935i | 1.18153 | + | 0.346928i | 0.812763 | − | 0.582594i | \(-0.197962\pi\) |
0.368766 | + | 0.929522i | \(0.379780\pi\) | |||||||
\(542\) | −7.56832 | + | 2.22226i | −0.325087 | + | 0.0954542i | ||||
\(543\) | 0.175259 | + | 0.202259i | 0.00752107 | + | 0.00867978i | ||||
\(544\) | 6.47386 | − | 4.16050i | 0.277564 | − | 0.178380i | ||||
\(545\) | 1.70327 | + | 1.96568i | 0.0729603 | + | 0.0842006i | ||||
\(546\) | 0.110879 | + | 0.242791i | 0.00474517 | + | 0.0103905i | ||||
\(547\) | 11.4008 | + | 3.34757i | 0.487463 | + | 0.143132i | 0.516223 | − | 0.856454i | \(-0.327338\pi\) |
−0.0287601 | + | 0.999586i | \(0.509156\pi\) | |||||||
\(548\) | 14.4132 | + | 9.26280i | 0.615701 | + | 0.395687i | ||||
\(549\) | 6.76496 | + | 4.34758i | 0.288722 | + | 0.185550i | ||||
\(550\) | 0.203691 | − | 1.41670i | 0.00868539 | − | 0.0604082i | ||||
\(551\) | −20.8408 | + | 24.0515i | −0.887846 | + | 1.02463i | ||||
\(552\) | −0.0118991 | − | 0.00349389i | −0.000506460 | − | 0.000148710i | ||||
\(553\) | 4.12486 | + | 28.6891i | 0.175407 | + | 1.21998i | ||||
\(554\) | −0.122964 | + | 0.855235i | −0.00522425 | + | 0.0363354i | ||||
\(555\) | −0.119358 | + | 0.137747i | −0.00506648 | + | 0.00584703i | ||||
\(556\) | 4.58269 | − | 10.0347i | 0.194349 | − | 0.425566i | ||||
\(557\) | 15.1790 | − | 4.45695i | 0.643154 | − | 0.188847i | 0.0561389 | − | 0.998423i | \(-0.482121\pi\) |
0.587015 | + | 0.809576i | \(0.300303\pi\) | |||||||
\(558\) | −6.41942 | − | 14.0566i | −0.271756 | − | 0.595062i | ||||
\(559\) | 6.97960 | − | 15.2832i | 0.295205 | − | 0.646410i | ||||
\(560\) | −0.271289 | − | 1.88686i | −0.0114641 | − | 0.0797343i | ||||
\(561\) | 0.216444 | + | 0.139100i | 0.00913825 | + | 0.00587280i | ||||
\(562\) | −1.78966 | − | 12.4474i | −0.0754924 | − | 0.525061i | ||||
\(563\) | 23.4806 | − | 6.89452i | 0.989588 | − | 0.290569i | 0.253411 | − | 0.967359i | \(-0.418447\pi\) |
0.736177 | + | 0.676789i | \(0.236629\pi\) | |||||||
\(564\) | −0.207109 | + | 0.133101i | −0.00872086 | + | 0.00560455i | ||||
\(565\) | 0.676841 | 0.0284749 | ||||||||
\(566\) | 17.2491 | 0.725034 | ||||||||
\(567\) | 14.4250 | − | 9.27036i | 0.605792 | − | 0.389319i | ||||
\(568\) | −6.62916 | − | 14.5158i | −0.278153 | − | 0.609071i | ||||
\(569\) | −17.0733 | + | 19.7036i | −0.715748 | + | 0.826018i | −0.990789 | − | 0.135415i | \(-0.956763\pi\) |
0.275041 | + | 0.961433i | \(0.411309\pi\) | |||||||
\(570\) | −0.0762274 | + | 0.0879712i | −0.00319282 | + | 0.00368471i | ||||
\(571\) | −16.4722 | − | 36.0690i | −0.689338 | − | 1.50944i | −0.852437 | − | 0.522831i | \(-0.824876\pi\) |
0.163098 | − | 0.986610i | \(-0.447851\pi\) | |||||||
\(572\) | 7.21723 | − | 4.63823i | 0.301768 | − | 0.193934i | ||||
\(573\) | 0.352671 | 0.0147331 | ||||||||
\(574\) | 12.3884 | 0.517083 | ||||||||
\(575\) | 0.446621 | − | 0.287026i | 0.0186254 | − | 0.0119698i | ||||
\(576\) | 2.87796 | − | 0.845044i | 0.119915 | − | 0.0352102i | ||||
\(577\) | −2.98106 | − | 20.7338i | −0.124103 | − | 0.863158i | −0.952830 | − | 0.303504i | \(-0.901843\pi\) |
0.828727 | − | 0.559653i | \(-0.189066\pi\) | |||||||
\(578\) | −35.5182 | − | 22.8262i | −1.47736 | − | 0.949444i | ||||
\(579\) | −0.0336520 | − | 0.234055i | −0.00139853 | − | 0.00972698i | ||||
\(580\) | 2.65305 | − | 5.80936i | 0.110162 | − | 0.241221i | ||||
\(581\) | −10.6784 | − | 23.3824i | −0.443013 | − | 0.970064i | ||||
\(582\) | 0.00575627 | − | 0.00169019i | 0.000238605 | − | 7.00607e-5i | ||||
\(583\) | −5.93631 | + | 12.9987i | −0.245857 | + | 0.538352i | ||||
\(584\) | −1.89771 | + | 2.19007i | −0.0785278 | + | 0.0906259i | ||||
\(585\) | 2.55868 | − | 17.7960i | 0.105788 | − | 0.735774i | ||||
\(586\) | 4.61024 | + | 32.0649i | 0.190447 | + | 1.32459i | ||||
\(587\) | 28.4896 | + | 8.36530i | 1.17589 | + | 0.345273i | 0.810589 | − | 0.585616i | \(-0.199147\pi\) |
0.365303 | + | 0.930889i | \(0.380966\pi\) | |||||||
\(588\) | −0.0514927 | + | 0.0594257i | −0.00212352 | + | 0.00245068i | ||||
\(589\) | 3.65362 | − | 25.4115i | 0.150545 | − | 1.04706i | ||||
\(590\) | −5.08648 | − | 3.26888i | −0.209407 | − | 0.134578i | ||||
\(591\) | −0.234681 | − | 0.150820i | −0.00965349 | − | 0.00620392i | ||||
\(592\) | 7.48661 | + | 2.19827i | 0.307698 | + | 0.0903482i | ||||
\(593\) | 0.0451383 | + | 0.0988391i | 0.00185361 | + | 0.00405884i | 0.910557 | − | 0.413385i | \(-0.135653\pi\) |
−0.908703 | + | 0.417443i | \(0.862926\pi\) | |||||||
\(594\) | 0.131354 | + | 0.151590i | 0.00538950 | + | 0.00621982i | ||||
\(595\) | −12.3409 | + | 7.93099i | −0.505926 | + | 0.325139i | ||||
\(596\) | −1.36211 | − | 1.57196i | −0.0557942 | − | 0.0643899i | ||||
\(597\) | −0.161985 | + | 0.0475630i | −0.00662959 | + | 0.00194662i | ||||
\(598\) | 3.05335 | + | 0.896545i | 0.124861 | + | 0.0366624i | ||||
\(599\) | 4.10346 | − | 28.5402i | 0.167663 | − | 1.16612i | −0.716035 | − | 0.698064i | \(-0.754045\pi\) |
0.883698 | − | 0.468057i | \(-0.155046\pi\) | |||||||
\(600\) | 0.00970382 | − | 0.0212484i | 0.000396157 | − | 0.000867463i | ||||
\(601\) | 3.39815 | + | 3.92167i | 0.138613 | + | 0.159968i | 0.820812 | − | 0.571199i | \(-0.193521\pi\) |
−0.682199 | + | 0.731167i | \(0.738976\pi\) | |||||||
\(602\) | −5.34327 | −0.217776 | ||||||||
\(603\) | −2.61849 | + | 24.4116i | −0.106633 | + | 0.994115i | ||||
\(604\) | −1.50749 | −0.0613387 | ||||||||
\(605\) | 5.86197 | + | 6.76507i | 0.238323 | + | 0.275039i | ||||
\(606\) | 0.104744 | − | 0.229358i | 0.00425494 | − | 0.00931702i | ||||
\(607\) | −2.11847 | + | 14.7343i | −0.0859860 | + | 0.598046i | 0.900581 | + | 0.434688i | \(0.143141\pi\) |
−0.986567 | + | 0.163357i | \(0.947768\pi\) | |||||||
\(608\) | 4.78127 | + | 1.40391i | 0.193906 | + | 0.0569360i | ||||
\(609\) | 0.272865 | − | 0.0801203i | 0.0110570 | − | 0.00324664i | ||||
\(610\) | −1.75568 | − | 2.02616i | −0.0710854 | − | 0.0820369i | ||||
\(611\) | 53.1448 | − | 34.1541i | 2.15001 | − | 1.38173i | ||||
\(612\) | −15.1157 | − | 17.4444i | −0.611015 | − | 0.705149i | ||||
\(613\) | −17.2149 | − | 37.6953i | −0.695302 | − | 1.52250i | −0.845576 | − | 0.533855i | \(-0.820743\pi\) |
0.150274 | − | 0.988644i | \(-0.451984\pi\) | |||||||
\(614\) | −22.8173 | − | 6.69975i | −0.920830 | − | 0.270380i | ||||
\(615\) | 0.127709 | + | 0.0820736i | 0.00514973 | + | 0.00330953i | ||||
\(616\) | −2.29525 | − | 1.47507i | −0.0924782 | − | 0.0594321i | ||||
\(617\) | 2.95767 | − | 20.5711i | 0.119071 | − | 0.828159i | −0.839511 | − | 0.543343i | \(-0.817158\pi\) |
0.958582 | − | 0.284816i | \(-0.0919326\pi\) | |||||||
\(618\) | −0.201787 | + | 0.232874i | −0.00811705 | + | 0.00936758i | ||||
\(619\) | −27.1439 | − | 7.97018i | −1.09101 | − | 0.320349i | −0.313733 | − | 0.949511i | \(-0.601580\pi\) |
−0.777274 | + | 0.629163i | \(0.783398\pi\) | |||||||
\(620\) | 0.733199 | + | 5.09951i | 0.0294460 | + | 0.204801i | ||||
\(621\) | −0.0105885 | + | 0.0736446i | −0.000424902 | + | 0.00295526i | ||||
\(622\) | 15.7681 | − | 18.1974i | 0.632243 | − | 0.729648i | ||||
\(623\) | −5.66366 | + | 12.4017i | −0.226910 | + | 0.496863i | ||||
\(624\) | 0.134346 | − | 0.0394476i | 0.00537815 | − | 0.00157917i | ||||
\(625\) | 0.415415 | + | 0.909632i | 0.0166166 | + | 0.0363853i | ||||
\(626\) | −2.52327 | + | 5.52519i | −0.100850 | + | 0.220831i | ||||
\(627\) | 0.0237101 | + | 0.164907i | 0.000946890 | + | 0.00658576i | ||||
\(628\) | 14.1481 | + | 9.09244i | 0.564571 | + | 0.362828i | ||||
\(629\) | −8.54535 | − | 59.4342i | −0.340725 | − | 2.36980i | ||||
\(630\) | −5.48613 | + | 1.61087i | −0.218573 | + | 0.0641788i | ||||
\(631\) | −27.0909 | + | 17.4103i | −1.07847 | + | 0.693091i | −0.954204 | − | 0.299158i | \(-0.903294\pi\) |
−0.124267 | + | 0.992249i | \(0.539658\pi\) | |||||||
\(632\) | 15.2047 | 0.604809 | ||||||||
\(633\) | −0.271743 | −0.0108008 | ||||||||
\(634\) | −25.5004 | + | 16.3881i | −1.01275 | + | 0.650856i | ||||
\(635\) | −3.72180 | − | 8.14960i | −0.147695 | − | 0.323407i | ||||
\(636\) | −0.152730 | + | 0.176260i | −0.00605613 | + | 0.00698915i | ||||
\(637\) | 13.2132 | − | 15.2488i | 0.523526 | − | 0.604181i | ||||
\(638\) | −3.79722 | − | 8.31475i | −0.150333 | − | 0.329184i | ||||
\(639\) | −40.2666 | + | 25.8778i | −1.59292 | + | 1.02371i | ||||
\(640\) | −1.00000 | −0.0395285 | ||||||||
\(641\) | 15.8179 | 0.624770 | 0.312385 | − | 0.949956i | \(-0.398872\pi\) | ||||
0.312385 | + | 0.949956i | \(0.398872\pi\) | |||||||
\(642\) | −0.0455289 | + | 0.0292596i | −0.00179688 | + | 0.00115479i | ||||
\(643\) | 1.91021 | − | 0.560889i | 0.0753315 | − | 0.0221193i | −0.243850 | − | 0.969813i | \(-0.578410\pi\) |
0.319181 | + | 0.947694i | \(0.396592\pi\) | |||||||
\(644\) | −0.144027 | − | 1.00173i | −0.00567547 | − | 0.0394737i | ||||
\(645\) | −0.0550824 | − | 0.0353993i | −0.00216887 | − | 0.00139385i | ||||
\(646\) | −5.45743 | − | 37.9573i | −0.214720 | − | 1.49341i | ||||
\(647\) | 16.9422 | − | 37.0983i | 0.666067 | − | 1.45848i | −0.210692 | − | 0.977553i | \(-0.567572\pi\) |
0.876759 | − | 0.480930i | \(-0.159701\pi\) | |||||||
\(648\) | −3.73670 | − | 8.18222i | −0.146791 | − | 0.321428i | ||||
\(649\) | −8.30335 | + | 2.43808i | −0.325935 | + | 0.0957031i | ||||
\(650\) | −2.49003 | + | 5.45241i | −0.0976672 | + | 0.213861i | ||||
\(651\) | −0.150232 | + | 0.173377i | −0.00588807 | + | 0.00679520i | ||||
\(652\) | 1.39514 | − | 9.70340i | 0.0546378 | − | 0.380014i | ||||
\(653\) | −4.33196 | − | 30.1294i | −0.169523 | − | 1.17906i | −0.879874 | − | 0.475208i | \(-0.842373\pi\) |
0.710351 | − | 0.703848i | \(-0.248536\pi\) | |||||||
\(654\) | 0.0582959 | + | 0.0171172i | 0.00227955 | + | 0.000669336i | ||||
\(655\) | −0.739502 | + | 0.853431i | −0.0288947 | + | 0.0333463i | ||||
\(656\) | 0.924878 | − | 6.43267i | 0.0361104 | − | 0.251153i | ||||
\(657\) | 7.31224 | + | 4.69929i | 0.285277 | + | 0.183337i | ||||
\(658\) | −16.9013 | − | 10.8618i | −0.658882 | − | 0.423438i | ||||
\(659\) | 17.0629 | + | 5.01011i | 0.664675 | + | 0.195166i | 0.596630 | − | 0.802516i | \(-0.296506\pi\) |
0.0680444 | + | 0.997682i | \(0.478324\pi\) | |||||||
\(660\) | −0.0138888 | − | 0.0304121i | −0.000540619 | − | 0.00118379i | ||||
\(661\) | 14.1796 | + | 16.3641i | 0.551523 | + | 0.636492i | 0.961237 | − | 0.275722i | \(-0.0889170\pi\) |
−0.409714 | + | 0.912214i | \(0.634372\pi\) | |||||||
\(662\) | −14.1416 | + | 9.08828i | −0.549630 | + | 0.353226i | ||||
\(663\) | −0.705617 | − | 0.814326i | −0.0274039 | − | 0.0316258i | ||||
\(664\) | −12.9384 | + | 3.79907i | −0.502109 | + | 0.147433i | ||||
\(665\) | −9.11435 | − | 2.67622i | −0.353439 | − | 0.103779i | ||||
\(666\) | 3.33070 | − | 23.1655i | 0.129062 | − | 0.897647i | ||||
\(667\) | 1.40850 | − | 3.08418i | 0.0545373 | − | 0.119420i | ||||
\(668\) | 0.395506 | + | 0.456438i | 0.0153026 | + | 0.0176601i | ||||
\(669\) | 0.593182 | 0.0229337 | ||||||||
\(670\) | 3.13056 | − | 7.56304i | 0.120944 | − | 0.292186i | ||||
\(671\) | −3.83722 | −0.148134 | ||||||||
\(672\) | −0.0291603 | − | 0.0336528i | −0.00112488 | − | 0.00129818i | ||||
\(673\) | −10.2977 | + | 22.5489i | −0.396949 | + | 0.869196i | 0.600622 | + | 0.799533i | \(0.294920\pi\) |
−0.997571 | + | 0.0696631i | \(0.977808\pi\) | |||||||
\(674\) | 1.36809 | − | 9.51530i | 0.0526970 | − | 0.366516i | ||||
\(675\) | −0.134467 | − | 0.0394829i | −0.00517562 | − | 0.00151970i | ||||
\(676\) | −22.0003 | + | 6.45987i | −0.846165 | + | 0.248457i | ||||
\(677\) | −18.0257 | − | 20.8028i | −0.692784 | − | 0.799516i | 0.294974 | − | 0.955505i | \(-0.404689\pi\) |
−0.987759 | + | 0.155989i | \(0.950143\pi\) | |||||||
\(678\) | 0.0133007 | − | 0.00854784i | 0.000510810 | − | 0.000328278i | ||||
\(679\) | 0.320605 | + | 0.369997i | 0.0123037 | + | 0.0141992i | ||||
\(680\) | 3.19682 | + | 7.00007i | 0.122593 | + | 0.268440i | ||||
\(681\) | 0.260274 | + | 0.0764232i | 0.00997370 | + | 0.00292854i | ||||
\(682\) | 6.20325 | + | 3.98658i | 0.237535 | + | 0.152654i | ||||
\(683\) | −19.4212 | − | 12.4812i | −0.743130 | − | 0.477581i | 0.113483 | − | 0.993540i | \(-0.463799\pi\) |
−0.856613 | + | 0.515959i | \(0.827436\pi\) | |||||||
\(684\) | 2.12713 | − | 14.7945i | 0.0813329 | − | 0.565683i | ||||
\(685\) | −11.2197 | + | 12.9483i | −0.428684 | + | 0.494727i | ||||
\(686\) | −18.9602 | − | 5.56721i | −0.723903 | − | 0.212557i | ||||
\(687\) | 0.0795998 | + | 0.553628i | 0.00303692 | + | 0.0211222i | ||||
\(688\) | −0.398910 | + | 2.77448i | −0.0152083 | + | 0.105776i | ||||
\(689\) | 39.1910 | − | 45.2288i | 1.49306 | − | 1.72308i | ||||
\(690\) | 0.00515175 | − | 0.0112808i | 0.000196124 | − | 0.000429451i | ||||
\(691\) | 21.4363 | − | 6.29428i | 0.815477 | − | 0.239446i | 0.152710 | − | 0.988271i | \(-0.451200\pi\) |
0.662767 | + | 0.748826i | \(0.269382\pi\) | |||||||
\(692\) | 9.69641 | + | 21.2322i | 0.368602 | + | 0.807126i | ||||
\(693\) | −3.39960 | + | 7.44408i | −0.129140 | + | 0.282777i | ||||
\(694\) | 0.695457 | + | 4.83701i | 0.0263992 | + | 0.183610i | ||||
\(695\) | 9.28037 | + | 5.96413i | 0.352025 | + | 0.226232i | ||||
\(696\) | −0.0212311 | − | 0.147666i | −0.000804765 | − | 0.00559726i | ||||
\(697\) | −47.9858 | + | 14.0899i | −1.81759 | + | 0.533693i | ||||
\(698\) | 11.9111 | − | 7.65478i | 0.450840 | − | 0.289738i | ||||
\(699\) | 0.125090 | 0.00473133 | ||||||||
\(700\) | 1.90626 | 0.0720499 | ||||||||
\(701\) | 24.2715 | − | 15.5983i | 0.916722 | − | 0.589141i | 0.00501725 | − | 0.999987i | \(-0.498403\pi\) |
0.911705 | + | 0.410846i | \(0.134767\pi\) | |||||||
\(702\) | −0.348962 | − | 0.764119i | −0.0131707 | − | 0.0288398i | ||||
\(703\) | 25.4621 | − | 29.3848i | 0.960321 | − | 1.10827i | ||||
\(704\) | −0.937280 | + | 1.08168i | −0.0353251 | + | 0.0407673i | ||||
\(705\) | −0.102271 | − | 0.223943i | −0.00385176 | − | 0.00843418i | ||||
\(706\) | −15.2951 | + | 9.82959i | −0.575640 | + | 0.369942i | ||||
\(707\) | 20.5764 | 0.773855 | ||||||||
\(708\) | −0.141238 | −0.00530805 | ||||||||
\(709\) | 28.5780 | − | 18.3660i | 1.07327 | − | 0.689749i | 0.120277 | − | 0.992740i | \(-0.461622\pi\) |
0.952993 | + | 0.302992i | \(0.0979855\pi\) | |||||||
\(710\) | 15.3115 | − | 4.49586i | 0.574631 | − | 0.168727i | ||||
\(711\) | −6.49037 | − | 45.1415i | −0.243408 | − | 1.69294i | ||||
\(712\) | 6.01672 | + | 3.86671i | 0.225486 | + | 0.144911i | ||||
\(713\) | 0.389255 | + | 2.70732i | 0.0145777 | + | 0.101390i | ||||
\(714\) | −0.142351 | + | 0.311706i | −0.00532736 | + | 0.0116653i | ||||
\(715\) | 3.56390 | + | 7.80386i | 0.133282 | + | 0.291848i | ||||
\(716\) | −7.78283 | + | 2.28525i | −0.290858 | + | 0.0854037i | ||||
\(717\) | 0.00427172 | − | 0.00935376i | 0.000159530 | − | 0.000349322i | ||||
\(718\) | −21.2487 | + | 24.5223i | −0.792993 | + | 0.915163i | ||||
\(719\) | −0.192524 | + | 1.33904i | −0.00717995 | + | 0.0499376i | −0.993096 | − | 0.117301i | \(-0.962576\pi\) |
0.985916 | + | 0.167238i | \(0.0534849\pi\) | |||||||
\(720\) | 0.426867 | + | 2.96892i | 0.0159084 | + | 0.110645i | ||||
\(721\) | −24.1272 | − | 7.08439i | −0.898544 | − | 0.263836i | ||||
\(722\) | 3.81884 | − | 4.40718i | 0.142123 | − | 0.164018i | ||||
\(723\) | 0.0808067 | − | 0.562023i | 0.00300523 | − | 0.0209019i | ||||
\(724\) | 9.63822 | + | 6.19411i | 0.358202 | + | 0.230202i | ||||
\(725\) | 5.37266 | + | 3.45280i | 0.199536 | + | 0.128234i | ||||
\(726\) | 0.200631 | + | 0.0589104i | 0.00744610 | + | 0.00218637i | ||||
\(727\) | 13.4399 | + | 29.4293i | 0.498458 | + | 1.09147i | 0.976967 | + | 0.213389i | \(0.0684502\pi\) |
−0.478509 | + | 0.878083i | \(0.658823\pi\) | |||||||
\(728\) | 7.48263 | + | 8.63542i | 0.277325 | + | 0.320050i | ||||
\(729\) | −22.6891 | + | 14.5814i | −0.840336 | + | 0.540051i | ||||
\(730\) | −1.89771 | − | 2.19007i | −0.0702374 | − | 0.0810583i | ||||
\(731\) | 20.6968 | − | 6.07713i | 0.765499 | − | 0.224771i | ||||
\(732\) | −0.0600895 | − | 0.0176439i | −0.00222097 | − | 0.000652136i | ||||
\(733\) | 1.26760 | − | 8.81636i | 0.0468199 | − | 0.325640i | −0.952928 | − | 0.303196i | \(-0.901946\pi\) |
0.999748 | − | 0.0224436i | \(-0.00714461\pi\) | |||||||
\(734\) | −11.4294 | + | 25.0268i | −0.421865 | + | 0.923756i | ||||
\(735\) | −0.0514927 | − | 0.0594257i | −0.00189934 | − | 0.00219195i | ||||
\(736\) | −0.530899 | −0.0195692 | ||||||||
\(737\) | −5.24658 | − | 10.4749i | −0.193260 | − | 0.385850i | ||||
\(738\) | −19.4929 | −0.717543 | ||||||||
\(739\) | 0.553358 | + | 0.638609i | 0.0203556 | + | 0.0234916i | 0.765836 | − | 0.643036i | \(-0.222325\pi\) |
−0.745480 | + | 0.666527i | \(0.767780\pi\) | |||||||
\(740\) | −3.24135 | + | 7.09756i | −0.119154 | + | 0.260912i | ||||
\(741\) | 0.0992969 | − | 0.690625i | 0.00364776 | − | 0.0253707i | ||||
\(742\) | −18.2616 | − | 5.36208i | −0.670404 | − | 0.196848i | ||||
\(743\) | −40.1027 | + | 11.7752i | −1.47123 | + | 0.431991i | −0.916497 | − | 0.400041i | \(-0.868996\pi\) |
−0.554728 | + | 0.832032i | \(0.687178\pi\) | |||||||
\(744\) | 0.0788100 | + | 0.0909516i | 0.00288931 | + | 0.00333445i | ||||
\(745\) | 1.74981 | − | 1.12453i | 0.0641079 | − | 0.0411997i | ||||
\(746\) | 5.31708 | + | 6.13624i | 0.194672 | + | 0.224664i | ||||
\(747\) | 16.8022 | + | 36.7916i | 0.614759 | + | 1.34613i | ||||
\(748\) | 10.5681 | + | 3.10309i | 0.386410 | + | 0.113460i | ||||
\(749\) | −3.71543 | − | 2.38776i | −0.135759 | − | 0.0872469i | ||||
\(750\) | 0.0196511 | + | 0.0126290i | 0.000717558 | + | 0.000461146i | ||||
\(751\) | 5.57375 | − | 38.7663i | 0.203389 | − | 1.41460i | −0.590745 | − | 0.806858i | \(-0.701166\pi\) |
0.794134 | − | 0.607743i | \(-0.207925\pi\) | |||||||
\(752\) | −6.90176 | + | 7.96506i | −0.251681 | + | 0.290456i | ||||
\(753\) | 0.490892 | + | 0.144139i | 0.0178891 | + | 0.00525271i | ||||
\(754\) | 5.44799 | + | 37.8916i | 0.198404 | + | 1.37993i | ||||
\(755\) | 0.214538 | − | 1.49214i | 0.00780782 | − | 0.0543046i | ||||
\(756\) | −0.174946 | + | 0.201898i | −0.00636272 | + | 0.00734297i | ||||
\(757\) | −12.1136 | + | 26.5250i | −0.440275 | + | 0.964069i | 0.551272 | + | 0.834325i | \(0.314143\pi\) |
−0.991548 | + | 0.129743i | \(0.958585\pi\) | |||||||
\(758\) | −10.1470 | + | 2.97942i | −0.368554 | + | 0.108217i | ||||
\(759\) | −0.00737353 | − | 0.0161458i | −0.000267642 | − | 0.000586054i | ||||
\(760\) | −2.07006 | + | 4.53281i | −0.0750891 | + | 0.164422i | ||||
\(761\) | −2.12240 | − | 14.7616i | −0.0769368 | − | 0.535107i | −0.991443 | − | 0.130537i | \(-0.958330\pi\) |
0.914507 | − | 0.404571i | \(-0.132579\pi\) | |||||||
\(762\) | −0.176059 | − | 0.113146i | −0.00637794 | − | 0.00409886i | ||||
\(763\) | 0.705616 | + | 4.90766i | 0.0255450 | + | 0.177669i | ||||
\(764\) | 14.4861 | − | 4.25350i | 0.524088 | − | 0.153886i | ||||
\(765\) | 19.4180 | − | 12.4792i | 0.702061 | − | 0.451187i | ||||
\(766\) | 5.27901 | 0.190738 | ||||||||
\(767\) | 36.2421 | 1.30863 | ||||||||
\(768\) | −0.0196511 | + | 0.0126290i | −0.000709099 | + | 0.000455710i | ||||
\(769\) | −16.2454 | − | 35.5725i | −0.585825 | − | 1.28278i | −0.937932 | − | 0.346819i | \(-0.887262\pi\) |
0.352107 | − | 0.935960i | \(-0.385465\pi\) | |||||||
\(770\) | 1.78670 | − | 2.06196i | 0.0643882 | − | 0.0743080i | ||||
\(771\) | −0.0876793 | + | 0.101187i | −0.00315769 | + | 0.00364417i | ||||
\(772\) | −4.20516 | − | 9.20801i | −0.151347 | − | 0.331403i | ||||
\(773\) | −27.3612 | + | 17.5840i | −0.984113 | + | 0.632451i | −0.930570 | − | 0.366115i | \(-0.880688\pi\) |
−0.0535431 | + | 0.998566i | \(0.517051\pi\) | |||||||
\(774\) | 8.40751 | 0.302202 | ||||||||
\(775\) | −5.15195 | −0.185063 | ||||||||
\(776\) | 0.216056 | − | 0.138850i | 0.00775594 | − | 0.00498444i | ||||
\(777\) | −0.333371 | + | 0.0978866i | −0.0119596 | + | 0.00351166i | ||||
\(778\) | 2.18991 | + | 15.2312i | 0.0785120 | + | 0.546063i | ||||
\(779\) | −27.2435 | − | 17.5083i | −0.976099 | − | 0.627301i | ||||
\(780\) | 0.0199266 | + | 0.138593i | 0.000713488 | + | 0.00496242i | ||||
\(781\) | 9.48809 | − | 20.7760i | 0.339511 | − | 0.743425i | ||||
\(782\) | 1.69719 | + | 3.71633i | 0.0606914 | + | 0.132896i | ||||
\(783\) | −0.858770 | + | 0.252158i | −0.0306899 | + | 0.00901138i | ||||
\(784\) | −1.39836 | + | 3.06198i | −0.0499413 | + | 0.109356i | ||||
\(785\) | −11.0134 | + | 12.7101i | −0.393084 | + | 0.453644i | ||||
\(786\) | −0.00375406 | + | 0.0261101i | −0.000133903 | + | 0.000931315i | ||||
\(787\) | 1.60267 | + | 11.1468i | 0.0571291 | + | 0.397342i | 0.998243 | + | 0.0592522i | \(0.0188716\pi\) |
−0.941114 | + | 0.338090i | \(0.890219\pi\) | |||||||
\(788\) | −11.4586 | − | 3.36455i | −0.408196 | − | 0.119857i | ||||
\(789\) | −0.449404 | + | 0.518639i | −0.0159992 | + | 0.0184640i | ||||
\(790\) | −2.16385 | + | 15.0499i | −0.0769863 | + | 0.535452i | ||||
\(791\) | 1.08542 | + | 0.697554i | 0.0385929 | + | 0.0248022i | ||||
\(792\) | 3.61152 | + | 2.32098i | 0.128330 | + | 0.0824725i | ||||
\(793\) | 15.4192 | + | 4.52748i | 0.547551 | + | 0.160776i | ||||
\(794\) | −11.4687 | − | 25.1129i | −0.407008 | − | 0.891223i | ||||
\(795\) | −0.152730 | − | 0.176260i | −0.00541677 | − | 0.00625128i | ||||
\(796\) | −6.07993 | + | 3.90733i | −0.215497 | + | 0.138492i | ||||
\(797\) | −11.9453 | − | 13.7857i | −0.423126 | − | 0.488313i | 0.503661 | − | 0.863902i | \(-0.331986\pi\) |
−0.926787 | + | 0.375588i | \(0.877441\pi\) | |||||||
\(798\) | −0.212905 | + | 0.0625146i | −0.00753677 | + | 0.00221299i | ||||
\(799\) | 77.8197 | + | 22.8499i | 2.75306 | + | 0.808372i | ||||
\(800\) | 0.142315 | − | 0.989821i | 0.00503159 | − | 0.0349955i | ||||
\(801\) | 8.91163 | − | 19.5138i | 0.314877 | − | 0.689485i | ||||
\(802\) | 0.0965746 | + | 0.111453i | 0.00341017 | + | 0.00393555i | ||||
\(803\) | −4.14765 | −0.146367 | ||||||||
\(804\) | −0.0339948 | − | 0.188158i | −0.00119891 | − | 0.00663583i | ||||
\(805\) | 1.01203 | 0.0356694 | ||||||||
\(806\) | −20.2229 | − | 23.3385i | −0.712322 | − | 0.822063i | ||||
\(807\) | −0.213716 | + | 0.467972i | −0.00752315 | + | 0.0164734i | ||||
\(808\) | 1.53616 | − | 10.6842i | 0.0540420 | − | 0.375870i | ||||
\(809\) | −36.8591 | − | 10.8228i | −1.29590 | − | 0.380509i | −0.440159 | − | 0.897920i | \(-0.645078\pi\) |
−0.855737 | + | 0.517411i | \(0.826896\pi\) | |||||||
\(810\) | 8.63073 | − | 2.53421i | 0.303253 | − | 0.0890430i | ||||
\(811\) | −23.9155 | − | 27.6000i | −0.839788 | − | 0.969167i | 0.160051 | − | 0.987109i | \(-0.448834\pi\) |
−0.999839 | + | 0.0179418i | \(0.994289\pi\) | |||||||
\(812\) | 10.2417 | − | 6.58194i | 0.359413 | − | 0.230981i | ||||
\(813\) | −0.120661 | − | 0.139250i | −0.00423177 | − | 0.00488372i | ||||
\(814\) | 4.63923 | + | 10.1585i | 0.162605 | + | 0.356055i | ||||
\(815\) | 9.40608 | + | 2.76188i | 0.329481 | + | 0.0967443i | ||||
\(816\) | 0.151225 | + | 0.0971865i | 0.00529394 | + | 0.00340221i | ||||
\(817\) | 11.7504 | + | 7.55154i | 0.411095 | + | 0.264195i | ||||
\(818\) | 1.46654 | − | 10.2000i | 0.0512764 | − | 0.356635i | ||||
\(819\) | 22.4438 | − | 25.9015i | 0.784250 | − | 0.905073i | ||||
\(820\) | 6.23557 | + | 1.83093i | 0.217755 | + | 0.0639388i | ||||
\(821\) | 3.18678 | + | 22.1645i | 0.111219 | + | 0.773547i | 0.966737 | + | 0.255773i | \(0.0823300\pi\) |
−0.855518 | + | 0.517774i | \(0.826761\pi\) | |||||||
\(822\) | −0.0569566 | + | 0.396142i | −0.00198659 | + | 0.0138170i | ||||
\(823\) | −27.4190 | + | 31.6432i | −0.955767 | + | 1.10301i | 0.0388349 | + | 0.999246i | \(0.487635\pi\) |
−0.994602 | + | 0.103768i | \(0.966910\pi\) | |||||||
\(824\) | −5.47981 | + | 11.9991i | −0.190898 | + | 0.418008i | ||||
\(825\) | 0.0320792 | − | 0.00941929i | 0.00111685 | − | 0.000327938i | ||||
\(826\) | −4.78801 | − | 10.4843i | −0.166596 | − | 0.364795i | ||||
\(827\) | 10.2823 | − | 22.5151i | 0.357550 | − | 0.782926i | −0.642314 | − | 0.766442i | \(-0.722025\pi\) |
0.999864 | − | 0.0164842i | \(-0.00524733\pi\) | |||||||
\(828\) | 0.226623 | + | 1.57620i | 0.00787570 | + | 0.0547767i | ||||
\(829\) | 3.36819 | + | 2.16460i | 0.116982 | + | 0.0751798i | 0.597824 | − | 0.801628i | \(-0.296032\pi\) |
−0.480841 | + | 0.876808i | \(0.659669\pi\) | |||||||
\(830\) | −1.91907 | − | 13.3474i | −0.0666119 | − | 0.463296i | ||||
\(831\) | −0.0193656 | + | 0.00568625i | −0.000671785 | + | 0.000197254i | ||||
\(832\) | 5.04255 | − | 3.24065i | 0.174819 | − | 0.112349i | ||||
\(833\) | 25.9043 | 0.897532 | ||||||||
\(834\) | 0.257691 | 0.00892311 | ||||||||
\(835\) | −0.508079 | + | 0.326522i | −0.0175828 | + | 0.0112998i | ||||
\(836\) | 2.96282 | + | 6.48766i | 0.102471 | + | 0.224380i | ||||
\(837\) | 0.472817 | − | 0.545660i | 0.0163429 | − | 0.0188608i | ||||
\(838\) | −18.1492 | + | 20.9453i | −0.626955 | + | 0.723545i | ||||
\(839\) | 1.59742 | + | 3.49786i | 0.0551490 | + | 0.120760i | 0.935200 | − | 0.354119i | \(-0.115219\pi\) |
−0.880051 | + | 0.474879i | \(0.842492\pi\) | |||||||
\(840\) | 0.0374602 | − | 0.0240742i | 0.00129250 | − | 0.000830639i | ||||
\(841\) | 11.7873 | 0.406460 | ||||||||
\(842\) | 7.85505 | 0.270703 | ||||||||
\(843\) | 0.247121 | − | 0.158815i | 0.00851128 | − | 0.00546987i | ||||
\(844\) | −11.1619 | + | 3.27744i | −0.384210 | + | 0.112814i | ||||
\(845\) | −3.26315 | − | 22.6957i | −0.112256 | − | 0.780756i | ||||
\(846\) | 26.5938 | + | 17.0908i | 0.914313 | + | 0.587594i | ||||
\(847\) | 2.42844 | + | 16.8902i | 0.0834421 | + | 0.580353i | ||||
\(848\) | −4.14759 | + | 9.08197i | −0.142429 | + | 0.311876i | ||||
\(849\) | 0.167382 | + | 0.366516i | 0.00574454 | + | 0.0125788i | ||||
\(850\) | −7.38377 | + | 2.16807i | −0.253261 | + | 0.0743642i | ||||
\(851\) | −1.72083 | + | 3.76809i | −0.0589892 | + | 0.129168i | ||||
\(852\) | 0.244110 | − | 0.281718i | 0.00836307 | − | 0.00965150i | ||||
\(853\) | −2.25872 | + | 15.7097i | −0.0773370 | + | 0.537890i | 0.913915 | + | 0.405906i | \(0.133044\pi\) |
−0.991252 | + | 0.131984i | \(0.957865\pi\) | |||||||
\(854\) | −0.727326 | − | 5.05866i | −0.0248886 | − | 0.173104i | ||||
\(855\) | 14.3412 | + | 4.21096i | 0.490459 | + | 0.144012i | ||||
\(856\) | −1.51722 | + | 1.75096i | −0.0518575 | + | 0.0598468i | ||||
\(857\) | −4.53475 | + | 31.5399i | −0.154904 | + | 1.07738i | 0.752944 | + | 0.658084i | \(0.228633\pi\) |
−0.907848 | + | 0.419298i | \(0.862276\pi\) | |||||||
\(858\) | 0.168590 | + | 0.108346i | 0.00575556 | + | 0.00369887i | ||||
\(859\) | 2.12209 | + | 1.36379i | 0.0724048 | + | 0.0465318i | 0.576342 | − | 0.817208i | \(-0.304479\pi\) |
−0.503938 | + | 0.863740i | \(0.668116\pi\) | |||||||
\(860\) | −2.68947 | − | 0.789700i | −0.0917102 | − | 0.0269285i | ||||
\(861\) | 0.120215 | + | 0.263235i | 0.00409692 | + | 0.00897101i | ||||
\(862\) | 3.54004 | + | 4.08542i | 0.120574 | + | 0.139150i | ||||
\(863\) | 21.5595 | − | 13.8555i | 0.733894 | − | 0.471645i | −0.119551 | − | 0.992828i | \(-0.538145\pi\) |
0.853445 | + | 0.521183i | \(0.174509\pi\) | |||||||
\(864\) | 0.0917744 | + | 0.105913i | 0.00312223 | + | 0.00360324i | ||||
\(865\) | −22.3960 | + | 6.57606i | −0.761487 | + | 0.223593i | ||||
\(866\) | 3.93410 | + | 1.15516i | 0.133686 | + | 0.0392538i | ||||
\(867\) | 0.140357 | − | 0.976207i | 0.00476679 | − | 0.0331537i | ||||
\(868\) | −4.07977 | + | 8.93346i | −0.138477 | + | 0.303221i | ||||
\(869\) | 14.2510 | + | 16.4466i | 0.483433 | + | 0.557912i | ||||
\(870\) | 0.149184 | 0.00505782 | ||||||||
\(871\) | 8.72319 | + | 48.2820i | 0.295574 | + | 1.63597i | ||||
\(872\) | 2.60097 | 0.0880800 | ||||||||
\(873\) | −0.504463 | − | 0.582182i | −0.0170735 | − | 0.0197039i | ||||
\(874\) | −1.09900 | + | 2.40646i | −0.0371741 | + | 0.0813999i | ||||
\(875\) | −0.271289 | + | 1.88686i | −0.00917125 | + | 0.0637874i | ||||
\(876\) | −0.0649506 | − | 0.0190712i | −0.00219448 | − | 0.000644357i | ||||
\(877\) | −21.8779 | + | 6.42394i | −0.738765 | + | 0.216921i | −0.629401 | − | 0.777081i | \(-0.716700\pi\) |
−0.109364 | + | 0.994002i | \(0.534881\pi\) | |||||||
\(878\) | 11.0590 | + | 12.7628i | 0.373224 | + | 0.430724i | ||||
\(879\) | −0.636591 | + | 0.409112i | −0.0214717 | + | 0.0137990i | ||||
\(880\) | −0.937280 | − | 1.08168i | −0.0315957 | − | 0.0364634i | ||||
\(881\) | 21.4099 | + | 46.8810i | 0.721316 | + | 1.57946i | 0.812050 | + | 0.583587i | \(0.198351\pi\) |
−0.0907338 | + | 0.995875i | \(0.528921\pi\) | |||||||
\(882\) | 9.68769 | + | 2.84456i | 0.326201 | + | 0.0957814i | ||||
\(883\) | 17.6809 | + | 11.3628i | 0.595010 | + | 0.382390i | 0.803209 | − | 0.595697i | \(-0.203124\pi\) |
−0.208200 | + | 0.978086i | \(0.566760\pi\) | |||||||
\(884\) | −38.8049 | − | 24.9384i | −1.30515 | − | 0.838769i | ||||
\(885\) | 0.0201003 | − | 0.139800i | 0.000675663 | − | 0.00469934i | ||||
\(886\) | 21.6100 | − | 24.9393i | 0.726003 | − | 0.837852i | ||||
\(887\) | −36.6234 | − | 10.7536i | −1.22969 | − | 0.361070i | −0.398558 | − | 0.917143i | \(-0.630489\pi\) |
−0.831134 | + | 0.556073i | \(0.812308\pi\) | |||||||
\(888\) | 0.0259391 | + | 0.180410i | 0.000870458 | + | 0.00605417i | ||||
\(889\) | 2.43054 | − | 16.9048i | 0.0815178 | − | 0.566968i | ||||
\(890\) | −4.68362 | + | 5.40519i | −0.156995 | + | 0.181182i | ||||
\(891\) | 5.34821 | − | 11.7109i | 0.179172 | − | 0.392331i | ||||
\(892\) | 24.3651 | − | 7.15425i | 0.815805 | − | 0.239542i | ||||
\(893\) | 21.8170 | + | 47.7726i | 0.730078 | + | 1.59865i | ||||
\(894\) | 0.0201839 | − | 0.0441967i | 0.000675052 | − | 0.00147816i | ||||
\(895\) | −1.15437 | − | 8.02884i | −0.0385864 | − | 0.268375i | ||||
\(896\) | −1.60365 | − | 1.03060i | −0.0535741 | − | 0.0344300i | ||||
\(897\) | 0.0105790 | + | 0.0735788i | 0.000353224 | + | 0.00245672i | ||||
\(898\) | 13.9430 | − | 4.09404i | 0.465284 | − | 0.136620i | ||||
\(899\) | −27.6797 | + | 17.7887i | −0.923169 | + | 0.593285i | ||||
\(900\) | −2.99945 | −0.0999818 | ||||||||
\(901\) | 76.8335 | 2.55969 | ||||||||
\(902\) | 7.82495 | − | 5.02879i | 0.260542 | − | 0.167440i | ||||
\(903\) | −0.0518502 | − | 0.113536i | −0.00172547 | − | 0.00377824i | ||||
\(904\) | 0.443237 | − | 0.511522i | 0.0147418 | − | 0.0170130i | ||||
\(905\) | −7.50272 | + | 8.65860i | −0.249399 | + | 0.287822i | ||||
\(906\) | −0.0146284 | − | 0.0320317i | −0.000485995 | − | 0.00106418i | ||||
\(907\) | −24.8885 | + | 15.9949i | −0.826410 | + | 0.531102i | −0.884135 | − | 0.467231i | \(-0.845252\pi\) |
0.0577250 | + | 0.998333i | \(0.481615\pi\) | |||||||
\(908\) | 11.6126 | 0.385376 | ||||||||
\(909\) | −32.3764 | −1.07386 | ||||||||
\(910\) | −9.61241 | + | 6.17752i | −0.318648 | + | 0.204783i | ||||
\(911\) | −49.0986 | + | 14.4167i | −1.62671 | + | 0.477645i | −0.962811 | − | 0.270177i | \(-0.912918\pi\) |
−0.663899 | + | 0.747822i | \(0.731100\pi\) | |||||||
\(912\) | 0.0165658 | + | 0.115218i | 0.000548549 | + | 0.00381524i | ||||
\(913\) | −16.2363 | − | 10.4345i | −0.537344 | − | 0.345330i | ||||
\(914\) | −2.51552 | − | 17.4958i | −0.0832059 | − | 0.578709i | ||||
\(915\) | 0.0260159 | − | 0.0569669i | 0.000860060 | − | 0.00188327i | ||||
\(916\) | 9.94679 | + | 21.7804i | 0.328651 | + | 0.719646i | ||||
\(917\) | −2.06545 | + | 0.606471i | −0.0682071 | + | 0.0200274i | ||||
\(918\) | 0.448013 | − | 0.981012i | 0.0147866 | − | 0.0323782i | ||||
\(919\) | −10.5205 | + | 12.1413i | −0.347039 | + | 0.400504i | −0.902256 | − | 0.431202i | \(-0.858090\pi\) |
0.555217 | + | 0.831706i | \(0.312635\pi\) | |||||||
\(920\) | 0.0755548 | − | 0.525495i | 0.00249097 | − | 0.0173251i | ||||
\(921\) | −0.0790556 | − | 0.549844i | −0.00260497 | − | 0.0181180i | ||||
\(922\) | −1.74461 | − | 0.512264i | −0.0574557 | − | 0.0168705i | ||||
\(923\) | −62.6395 | + | 72.2898i | −2.06180 | + | 2.37945i | ||||
\(924\) | 0.00907014 | − | 0.0630842i | 0.000298386 | − | 0.00207532i | ||||
\(925\) | −6.56403 | − | 4.21844i | −0.215824 | − | 0.138702i | ||||
\(926\) | −16.5961 | − | 10.6657i | −0.545382 | − | 0.350496i | ||||
\(927\) | 37.9636 | + | 11.1471i | 1.24689 | + | 0.366119i | ||||
\(928\) | −2.65305 | − | 5.80936i | −0.0870905 | − | 0.190702i | ||||
\(929\) | −19.3377 | − | 22.3169i | −0.634449 | − | 0.732193i | 0.343934 | − | 0.938994i | \(-0.388240\pi\) |
−0.978383 | + | 0.206801i | \(0.933695\pi\) | |||||||
\(930\) | −0.101242 | + | 0.0650640i | −0.00331984 | + | 0.00213353i | ||||
\(931\) | 10.9847 | + | 12.6770i | 0.360008 | + | 0.415471i | ||||
\(932\) | 5.13811 | − | 1.50868i | 0.168304 | − | 0.0494186i | ||||
\(933\) | 0.539676 | + | 0.158463i | 0.0176682 | + | 0.00518785i | ||||
\(934\) | 3.52476 | − | 24.5153i | 0.115334 | − | 0.802164i | ||||
\(935\) | −4.57551 | + | 10.0190i | −0.149635 | + | 0.327655i | ||||
\(936\) | −11.7737 | − | 13.5876i | −0.384837 | − | 0.444125i | ||||
\(937\) | 28.5568 | 0.932910 | 0.466455 | − | 0.884545i | \(-0.345531\pi\) | ||||
0.466455 | + | 0.884545i | \(0.345531\pi\) | |||||||
\(938\) | 12.8148 | − | 8.90211i | 0.418418 | − | 0.290664i | ||||
\(939\) | −0.141887 | −0.00463030 | ||||||||
\(940\) | −6.90176 | − | 7.96506i | −0.225111 | − | 0.259792i | ||||
\(941\) | −1.77775 | + | 3.89274i | −0.0579531 | + | 0.126900i | −0.936393 | − | 0.350953i | \(-0.885858\pi\) |
0.878440 | + | 0.477853i | \(0.158585\pi\) | |||||||
\(942\) | −0.0559091 | + | 0.388856i | −0.00182162 | + | 0.0126696i | ||||
\(943\) | 3.31046 | + | 0.972038i | 0.107803 | + | 0.0316539i | ||||
\(944\) | −5.80140 | + | 1.70344i | −0.188819 | + | 0.0554424i | ||||
\(945\) | −0.174946 | − | 0.201898i | −0.00569099 | − | 0.00656775i | ||||
\(946\) | −3.37499 | + | 2.16897i | −0.109730 | + | 0.0705194i | ||||
\(947\) | −13.4411 | − | 15.5118i | −0.436776 | − | 0.504066i | 0.494098 | − | 0.869406i | \(-0.335498\pi\) |
−0.930874 | + | 0.365340i | \(0.880953\pi\) | |||||||
\(948\) | 0.147543 | + | 0.323075i | 0.00479199 | + | 0.0104930i | ||||
\(949\) | 16.6666 | + | 4.89374i | 0.541019 | + | 0.158858i | ||||
\(950\) | −4.19207 | − | 2.69408i | −0.136009 | − | 0.0874075i | ||||
\(951\) | −0.595674 | − | 0.382816i | −0.0193160 | − | 0.0124137i | ||||
\(952\) | −2.08770 | + | 14.5203i | −0.0676629 | + | 0.470606i | ||||
\(953\) | 13.2955 | − | 15.3439i | 0.430684 | − | 0.497036i | −0.498378 | − | 0.866960i | \(-0.666071\pi\) |
0.929062 | + | 0.369924i | \(0.120616\pi\) | |||||||
\(954\) | 28.7341 | + | 8.43710i | 0.930302 | + | 0.273161i | ||||
\(955\) | 2.14862 | + | 14.9440i | 0.0695277 | + | 0.483576i | ||||
\(956\) | 0.0626484 | − | 0.435729i | 0.00202619 | − | 0.0140925i | ||||
\(957\) | 0.139828 | − | 0.161370i | 0.00451998 | − | 0.00521634i | ||||
\(958\) | −6.80351 | + | 14.8976i | −0.219811 | + | 0.481320i | ||||
\(959\) | −31.3370 | + | 9.20137i | −1.01192 | + | 0.297128i | ||||
\(960\) | −0.00970382 | − | 0.0212484i | −0.000313190 | − | 0.000685789i | ||||
\(961\) | −1.85168 | + | 4.05461i | −0.0597316 | + | 0.130794i | ||||
\(962\) | −6.65605 | − | 46.2939i | −0.214600 | − | 1.49257i | ||||
\(963\) | 5.84613 | + | 3.75708i | 0.188389 | + | 0.121070i | ||||
\(964\) | −3.45929 | − | 24.0599i | −0.111416 | − | 0.774917i | ||||
\(965\) | 9.71274 | − | 2.85192i | 0.312664 | − | 0.0918065i | ||||
\(966\) | 0.0198876 | − | 0.0127810i | 0.000639872 | − | 0.000411221i | ||||
\(967\) | −39.0952 | −1.25722 | −0.628608 | − | 0.777722i | \(-0.716375\pi\) | ||||
−0.628608 | + | 0.777722i | \(0.716375\pi\) | |||||||
\(968\) | 8.95148 | 0.287711 | ||||||||
\(969\) | 0.753574 | − | 0.484292i | 0.0242083 | − | 0.0155577i | ||||
\(970\) | 0.106689 | + | 0.233617i | 0.00342559 | + | 0.00750099i | ||||
\(971\) | −18.8949 | + | 21.8058i | −0.606365 | + | 0.699782i | −0.973058 | − | 0.230559i | \(-0.925944\pi\) |
0.366693 | + | 0.930342i | \(0.380490\pi\) | |||||||
\(972\) | 0.412922 | − | 0.476537i | 0.0132445 | − | 0.0152849i | ||||
\(973\) | 8.73581 | + | 19.1287i | 0.280057 | + | 0.613240i | ||||
\(974\) | 13.6784 | − | 8.79056i | 0.438284 | − | 0.281668i | ||||
\(975\) | −0.140018 | −0.00448416 | ||||||||
\(976\) | −2.68100 | −0.0858166 | ||||||||
\(977\) | −14.5651 | + | 9.36043i | −0.465979 | + | 0.299467i | −0.752482 | − | 0.658613i | \(-0.771144\pi\) |
0.286503 | + | 0.958079i | \(0.407507\pi\) | |||||||
\(978\) | 0.219720 | − | 0.0645156i | 0.00702587 | − | 0.00206298i | ||||
\(979\) | 1.45681 | + | 10.1324i | 0.0465599 | + | 0.323831i | ||||
\(980\) | −2.83180 | − | 1.81989i | −0.0904586 | − | 0.0581342i | ||||
\(981\) | −1.11027 | − | 7.72209i | −0.0354482 | − | 0.246547i | ||||
\(982\) | −8.83055 | + | 19.3362i | −0.281794 | + | 0.617043i | ||||
\(983\) | 0.924928 | + | 2.02531i | 0.0295006 | + | 0.0645974i | 0.923809 | − | 0.382854i | \(-0.125059\pi\) |
−0.894308 | + | 0.447452i | \(0.852332\pi\) | |||||||
\(984\) | 0.145659 | − | 0.0427693i | 0.00464343 | − | 0.00136343i | ||||
\(985\) | 4.96104 | − | 10.8632i | 0.158072 | − | 0.346129i | ||||
\(986\) | −32.1846 | + | 37.1430i | −1.02497 | + | 1.18287i | ||||
\(987\) | 0.0667889 | − | 0.464527i | 0.00212591 | − | 0.0147861i | ||||
\(988\) | −4.25084 | − | 29.5653i | −0.135237 | − | 0.940596i | ||||
\(989\) | −1.42784 | − | 0.419251i | −0.0454026 | − | 0.0133314i | ||||
\(990\) | −2.81133 | + | 3.24445i | −0.0893499 | + | 0.103115i | ||||
\(991\) | 2.92199 | − | 20.3229i | 0.0928201 | − | 0.645578i | −0.889300 | − | 0.457324i | \(-0.848808\pi\) |
0.982120 | − | 0.188254i | \(-0.0602829\pi\) | |||||||
\(992\) | 4.33410 | + | 2.78535i | 0.137608 | + | 0.0884351i | ||||
\(993\) | −0.330339 | − | 0.212296i | −0.0104830 | − | 0.00673702i | ||||
\(994\) | 29.1877 | + | 8.57029i | 0.925778 | + | 0.271833i | ||||
\(995\) | −3.00230 | − | 6.57411i | −0.0951792 | − | 0.208413i | ||||
\(996\) | −0.206277 | − | 0.238056i | −0.00653613 | − | 0.00754309i | ||||
\(997\) | 4.69528 | − | 3.01747i | 0.148701 | − | 0.0955643i | −0.464175 | − | 0.885744i | \(-0.653649\pi\) |
0.612876 | + | 0.790179i | \(0.290013\pi\) | |||||||
\(998\) | 25.4410 | + | 29.3605i | 0.805321 | + | 0.929390i | ||||
\(999\) | 1.04920 | − | 0.308072i | 0.0331952 | − | 0.00974698i |
(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 | 670.2.k.c.241.3 | ✓ | 50 | |
67.62 | even | 11 | inner | 670.2.k.c.531.3 | yes | 50 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
670.2.k.c.241.3 | ✓ | 50 | 1.1 | even | 1 | trivial | |
670.2.k.c.531.3 | yes | 50 | 67.62 | even | 11 | inner |