Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [370,2,Mod(99,370)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(370, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("370.99");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 370 = 2 \cdot 5 \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 370.v (of order \(18\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.95446487479\) |
Analytic rank: | \(0\) |
Dimension: | \(60\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 289.6 | ||
Character | \(\chi\) | \(=\) | 370.289 |
Dual form | 370.2.v.a.169.6 |
$q$-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 \(\left(\mathbb{Z}/370\mathbb{Z}\right)^\times\).
\(n\) | \(261\) | \(297\) |
\(\chi(n)\) | \(e\left(\frac{7}{18}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.939693 | + | 0.342020i | −0.664463 | + | 0.241845i | ||||
\(3\) | 0.362370 | − | 0.995603i | 0.209214 | − | 0.574812i | −0.790055 | − | 0.613036i | \(-0.789948\pi\) |
0.999269 | + | 0.0382246i | \(0.0121702\pi\) | |||||||
\(4\) | 0.766044 | − | 0.642788i | 0.383022 | − | 0.321394i | ||||
\(5\) | 2.23443 | − | 0.0855581i | 0.999268 | − | 0.0382627i | ||||
\(6\) | 1.05950i | 0.432538i | ||||||||
\(7\) | 1.06185 | − | 0.187234i | 0.401343 | − | 0.0707676i | 0.0306666 | − | 0.999530i | \(-0.490237\pi\) |
0.370676 | + | 0.928762i | \(0.379126\pi\) | |||||||
\(8\) | −0.500000 | + | 0.866025i | −0.176777 | + | 0.306186i | ||||
\(9\) | 1.43822 | + | 1.20681i | 0.479407 | + | 0.402270i | ||||
\(10\) | −2.07042 | + | 0.844619i | −0.654723 | + | 0.267092i | ||||
\(11\) | 0.436261 | − | 0.755627i | 0.131538 | − | 0.227830i | −0.792732 | − | 0.609571i | \(-0.791342\pi\) |
0.924270 | + | 0.381741i | \(0.124675\pi\) | |||||||
\(12\) | −0.362370 | − | 0.995603i | −0.104607 | − | 0.287406i | ||||
\(13\) | −1.18263 | + | 0.992348i | −0.328004 | + | 0.275228i | −0.791886 | − | 0.610669i | \(-0.790901\pi\) |
0.463882 | + | 0.885897i | \(0.346456\pi\) | |||||||
\(14\) | −0.933779 | + | 0.539117i | −0.249563 | + | 0.144085i | ||||
\(15\) | 0.724508 | − | 2.25561i | 0.187067 | − | 0.582396i | ||||
\(16\) | 0.173648 | − | 0.984808i | 0.0434120 | − | 0.246202i | ||||
\(17\) | 0.626355 | + | 0.525574i | 0.151913 | + | 0.127470i | 0.715577 | − | 0.698534i | \(-0.246164\pi\) |
−0.563663 | + | 0.826005i | \(0.690608\pi\) | |||||||
\(18\) | −1.76424 | − | 0.642130i | −0.415835 | − | 0.151352i | ||||
\(19\) | −0.570090 | + | 1.56631i | −0.130788 | + | 0.359336i | −0.987750 | − | 0.156042i | \(-0.950126\pi\) |
0.856963 | + | 0.515378i | \(0.172349\pi\) | |||||||
\(20\) | 1.65668 | − | 1.50181i | 0.370444 | − | 0.335814i | ||||
\(21\) | 0.198374 | − | 1.12503i | 0.0432887 | − | 0.245502i | ||||
\(22\) | −0.151512 | + | 0.859267i | −0.0323025 | + | 0.183196i | ||||
\(23\) | −2.32537 | − | 4.02766i | −0.484873 | − | 0.839825i | 0.514976 | − | 0.857205i | \(-0.327801\pi\) |
−0.999849 | + | 0.0173800i | \(0.994468\pi\) | |||||||
\(24\) | 0.681032 | + | 0.811623i | 0.139015 | + | 0.165672i | ||||
\(25\) | 4.98536 | − | 0.382347i | 0.997072 | − | 0.0764695i | ||||
\(26\) | 0.771910 | − | 1.33699i | 0.151384 | − | 0.262205i | ||||
\(27\) | 4.47533 | − | 2.58383i | 0.861277 | − | 0.497259i | ||||
\(28\) | 0.693076 | − | 0.825976i | 0.130979 | − | 0.156095i | ||||
\(29\) | −1.84171 | − | 1.06331i | −0.341997 | − | 0.197452i | 0.319158 | − | 0.947702i | \(-0.396600\pi\) |
−0.661155 | + | 0.750249i | \(0.729933\pi\) | |||||||
\(30\) | 0.0906487 | + | 2.36738i | 0.0165501 | + | 0.432222i | ||||
\(31\) | − | 2.18324i | − | 0.392122i | −0.980592 | − | 0.196061i | \(-0.937185\pi\) | ||
0.980592 | − | 0.196061i | \(-0.0628150\pi\) | |||||||
\(32\) | 0.173648 | + | 0.984808i | 0.0306970 | + | 0.174091i | ||||
\(33\) | −0.594216 | − | 0.708159i | −0.103440 | − | 0.123275i | ||||
\(34\) | −0.768338 | − | 0.279652i | −0.131769 | − | 0.0479600i | ||||
\(35\) | 2.35662 | − | 0.509210i | 0.398341 | − | 0.0860723i | ||||
\(36\) | 1.87746 | 0.312911 | ||||||||
\(37\) | 4.86631 | + | 3.64952i | 0.800017 | + | 0.599977i | ||||
\(38\) | − | 1.66683i | − | 0.270396i | ||||||
\(39\) | 0.559434 | + | 1.53703i | 0.0895811 | + | 0.246122i | ||||
\(40\) | −1.04312 | + | 1.97785i | −0.164932 | + | 0.312726i | ||||
\(41\) | 1.27193 | − | 1.06727i | 0.198642 | − | 0.166680i | −0.538041 | − | 0.842919i | \(-0.680836\pi\) |
0.736683 | + | 0.676238i | \(0.236391\pi\) | |||||||
\(42\) | 0.198374 | + | 1.12503i | 0.0306097 | + | 0.173596i | ||||
\(43\) | 2.12972 | 0.324780 | 0.162390 | − | 0.986727i | \(-0.448080\pi\) | ||||
0.162390 | + | 0.986727i | \(0.448080\pi\) | |||||||
\(44\) | −0.151512 | − | 0.859267i | −0.0228413 | − | 0.129539i | ||||
\(45\) | 3.31686 | + | 2.57348i | 0.494448 | + | 0.383632i | ||||
\(46\) | 3.56267 | + | 2.98944i | 0.525287 | + | 0.440768i | ||||
\(47\) | 4.23630 | − | 2.44583i | 0.617928 | − | 0.356761i | −0.158134 | − | 0.987418i | \(-0.550548\pi\) |
0.776062 | + | 0.630657i | \(0.217214\pi\) | |||||||
\(48\) | −0.917552 | − | 0.529749i | −0.132437 | − | 0.0764627i | ||||
\(49\) | −5.48537 | + | 1.99651i | −0.783624 | + | 0.285216i | ||||
\(50\) | −4.55394 | + | 2.06438i | −0.644024 | + | 0.291948i | ||||
\(51\) | 0.750235 | − | 0.433149i | 0.105054 | − | 0.0606529i | ||||
\(52\) | −0.268082 | + | 1.52037i | −0.0371762 | + | 0.210837i | ||||
\(53\) | −4.91073 | − | 0.865893i | −0.674540 | − | 0.118940i | −0.174123 | − | 0.984724i | \(-0.555709\pi\) |
−0.500417 | + | 0.865784i | \(0.666820\pi\) | |||||||
\(54\) | −3.32171 | + | 3.95866i | −0.452028 | + | 0.538705i | ||||
\(55\) | 0.910145 | − | 1.72572i | 0.122724 | − | 0.232696i | ||||
\(56\) | −0.368778 | + | 1.01321i | −0.0492800 | + | 0.135396i | ||||
\(57\) | 1.35284 | + | 1.13517i | 0.179188 | + | 0.150357i | ||||
\(58\) | 2.09432 | + | 0.369284i | 0.274997 | + | 0.0484894i | ||||
\(59\) | −10.8290 | − | 1.90944i | −1.40981 | − | 0.248588i | −0.583642 | − | 0.812011i | \(-0.698373\pi\) |
−0.826168 | + | 0.563423i | \(0.809484\pi\) | |||||||
\(60\) | −0.894872 | − | 2.19360i | −0.115527 | − | 0.283193i | ||||
\(61\) | 1.22233 | + | 1.45671i | 0.156503 | + | 0.186513i | 0.838598 | − | 0.544750i | \(-0.183376\pi\) |
−0.682095 | + | 0.731263i | \(0.738931\pi\) | |||||||
\(62\) | 0.746712 | + | 2.05157i | 0.0948325 | + | 0.260550i | ||||
\(63\) | 1.75314 | + | 1.01217i | 0.220874 | + | 0.127522i | ||||
\(64\) | −0.500000 | − | 0.866025i | −0.0625000 | − | 0.108253i | ||||
\(65\) | −2.55761 | + | 2.31852i | −0.317233 | + | 0.287577i | ||||
\(66\) | 0.800585 | + | 0.462218i | 0.0985452 | + | 0.0568951i | ||||
\(67\) | 5.75930 | − | 1.01552i | 0.703610 | − | 0.124065i | 0.189615 | − | 0.981859i | \(-0.439276\pi\) |
0.513995 | + | 0.857793i | \(0.328165\pi\) | |||||||
\(68\) | 0.817648 | 0.0991544 | ||||||||
\(69\) | −4.85259 | + | 0.855643i | −0.584183 | + | 0.103007i | ||||
\(70\) | −2.04034 | + | 1.28451i | −0.243867 | + | 0.153529i | ||||
\(71\) | −10.2016 | − | 3.71309i | −1.21071 | − | 0.440663i | −0.343761 | − | 0.939057i | \(-0.611701\pi\) |
−0.866951 | + | 0.498394i | \(0.833923\pi\) | |||||||
\(72\) | −1.76424 | + | 0.642130i | −0.207917 | + | 0.0756758i | ||||
\(73\) | 10.5379i | 1.23336i | 0.787212 | + | 0.616682i | \(0.211523\pi\) | ||||
−0.787212 | + | 0.616682i | \(0.788477\pi\) | |||||||
\(74\) | −5.82105 | − | 1.76505i | −0.676683 | − | 0.205183i | ||||
\(75\) | 1.42588 | − | 5.10199i | 0.164646 | − | 0.589127i | ||||
\(76\) | 0.570090 | + | 1.56631i | 0.0653938 | + | 0.179668i | ||||
\(77\) | 0.321767 | − | 0.884048i | 0.0366688 | − | 0.100747i | ||||
\(78\) | −1.05139 | − | 1.25300i | −0.119047 | − | 0.141874i | ||||
\(79\) | −4.86694 | + | 0.858174i | −0.547574 | + | 0.0965521i | −0.440590 | − | 0.897709i | \(-0.645231\pi\) |
−0.106984 | + | 0.994261i | \(0.534119\pi\) | |||||||
\(80\) | 0.303747 | − | 2.21534i | 0.0339599 | − | 0.247683i | ||||
\(81\) | 0.0273076 | + | 0.154869i | 0.00303418 | + | 0.0172077i | ||||
\(82\) | −0.830191 | + | 1.43793i | −0.0916793 | + | 0.158793i | ||||
\(83\) | −2.61137 | + | 3.11211i | −0.286635 | + | 0.341598i | −0.890078 | − | 0.455808i | \(-0.849350\pi\) |
0.603443 | + | 0.797406i | \(0.293795\pi\) | |||||||
\(84\) | −0.571194 | − | 0.989337i | −0.0623224 | − | 0.107946i | ||||
\(85\) | 1.44451 | + | 1.12077i | 0.156680 | + | 0.121565i | ||||
\(86\) | −2.00128 | + | 0.728408i | −0.215804 | + | 0.0785463i | ||||
\(87\) | −1.72602 | + | 1.44830i | −0.185048 | + | 0.155274i | ||||
\(88\) | 0.436261 | + | 0.755627i | 0.0465056 | + | 0.0805501i | ||||
\(89\) | −15.0870 | − | 2.66025i | −1.59922 | − | 0.281986i | −0.698247 | − | 0.715857i | \(-0.746036\pi\) |
−0.900975 | + | 0.433871i | \(0.857147\pi\) | |||||||
\(90\) | −3.99701 | − | 1.28385i | −0.421322 | − | 0.135330i | ||||
\(91\) | −1.06998 | + | 1.27516i | −0.112165 | + | 0.133673i | ||||
\(92\) | −4.37026 | − | 1.59065i | −0.455632 | − | 0.165836i | ||||
\(93\) | −2.17364 | − | 0.791140i | −0.225396 | − | 0.0820374i | ||||
\(94\) | −3.14430 | + | 3.74723i | −0.324309 | + | 0.386497i | ||||
\(95\) | −1.13982 | + | 3.54859i | −0.116943 | + | 0.364077i | ||||
\(96\) | 1.04340 | + | 0.183980i | 0.106492 | + | 0.0187774i | ||||
\(97\) | −5.51919 | − | 9.55952i | −0.560389 | − | 0.970622i | −0.997462 | − | 0.0711965i | \(-0.977318\pi\) |
0.437073 | − | 0.899426i | \(-0.356015\pi\) | |||||||
\(98\) | 4.47172 | − | 3.75221i | 0.451711 | − | 0.379031i | ||||
\(99\) | 1.53934 | − | 0.560273i | 0.154709 | − | 0.0563096i | ||||
\(100\) | 3.57324 | − | 3.49742i | 0.357324 | − | 0.349742i | ||||
\(101\) | 1.28806 | + | 2.23099i | 0.128167 | + | 0.221992i | 0.922966 | − | 0.384881i | \(-0.125757\pi\) |
−0.794800 | + | 0.606872i | \(0.792424\pi\) | |||||||
\(102\) | −0.556845 | + | 0.663622i | −0.0551359 | + | 0.0657084i | ||||
\(103\) | −2.51846 | + | 4.36211i | −0.248152 | + | 0.429811i | −0.963013 | − | 0.269455i | \(-0.913156\pi\) |
0.714861 | + | 0.699266i | \(0.246490\pi\) | |||||||
\(104\) | −0.268082 | − | 1.52037i | −0.0262876 | − | 0.149084i | ||||
\(105\) | 0.346996 | − | 2.53078i | 0.0338634 | − | 0.246979i | ||||
\(106\) | 4.91073 | − | 0.865893i | 0.476972 | − | 0.0841030i | ||||
\(107\) | −1.57623 | − | 1.87848i | −0.152380 | − | 0.181599i | 0.684454 | − | 0.729056i | \(-0.260041\pi\) |
−0.836834 | + | 0.547457i | \(0.815596\pi\) | |||||||
\(108\) | 1.76745 | − | 4.85602i | 0.170072 | − | 0.467270i | ||||
\(109\) | 3.11601 | + | 8.56118i | 0.298460 | + | 0.820012i | 0.994758 | + | 0.102259i | \(0.0326071\pi\) |
−0.696298 | + | 0.717753i | \(0.745171\pi\) | |||||||
\(110\) | −0.265026 | + | 1.93294i | −0.0252692 | + | 0.184298i | ||||
\(111\) | 5.39688 | − | 3.52244i | 0.512249 | − | 0.334335i | ||||
\(112\) | − | 1.07823i | − | 0.101884i | ||||||
\(113\) | −9.25336 | + | 3.36795i | −0.870483 | + | 0.316830i | −0.738363 | − | 0.674404i | \(-0.764401\pi\) |
−0.132120 | + | 0.991234i | \(0.542178\pi\) | |||||||
\(114\) | −1.65950 | − | 0.604010i | −0.155427 | − | 0.0565707i | ||||
\(115\) | −5.54047 | − | 8.80057i | −0.516652 | − | 0.820657i | ||||
\(116\) | −2.09432 | + | 0.369284i | −0.194452 | + | 0.0342872i | ||||
\(117\) | −2.89847 | −0.267963 | ||||||||
\(118\) | 10.8290 | − | 1.90944i | 0.996886 | − | 0.175778i | ||||
\(119\) | 0.763503 | + | 0.440809i | 0.0699902 | + | 0.0404088i | ||||
\(120\) | 1.59116 | + | 1.75525i | 0.145252 | + | 0.160231i | ||||
\(121\) | 5.11935 | + | 8.86698i | 0.465396 | + | 0.806089i | ||||
\(122\) | −1.64684 | − | 0.950801i | −0.149097 | − | 0.0860815i | ||||
\(123\) | −0.601672 | − | 1.65308i | −0.0542510 | − | 0.149053i | ||||
\(124\) | −1.40336 | − | 1.67246i | −0.126025 | − | 0.150191i | ||||
\(125\) | 11.1067 | − | 1.28087i | 0.993416 | − | 0.114564i | ||||
\(126\) | −1.99359 | − | 0.351524i | −0.177603 | − | 0.0313162i | ||||
\(127\) | −17.5015 | − | 3.08598i | −1.55300 | − | 0.273836i | −0.669697 | − | 0.742634i | \(-0.733576\pi\) |
−0.883305 | + | 0.468798i | \(0.844687\pi\) | |||||||
\(128\) | 0.766044 | + | 0.642788i | 0.0677094 | + | 0.0568149i | ||||
\(129\) | 0.771747 | − | 2.12036i | 0.0679485 | − | 0.186687i | ||||
\(130\) | 1.61039 | − | 3.05345i | 0.141240 | − | 0.267805i | ||||
\(131\) | −4.45501 | + | 5.30927i | −0.389236 | + | 0.463873i | −0.924707 | − | 0.380680i | \(-0.875690\pi\) |
0.535471 | + | 0.844554i | \(0.320134\pi\) | |||||||
\(132\) | −0.910392 | − | 0.160527i | −0.0792394 | − | 0.0139721i | ||||
\(133\) | −0.312087 | + | 1.76993i | −0.0270614 | + | 0.153473i | ||||
\(134\) | −5.06464 | + | 2.92407i | −0.437518 | + | 0.252601i | ||||
\(135\) | 9.77874 | − | 6.15629i | 0.841620 | − | 0.529849i | ||||
\(136\) | −0.768338 | + | 0.279652i | −0.0658845 | + | 0.0239800i | ||||
\(137\) | 5.53751 | + | 3.19708i | 0.473101 | + | 0.273145i | 0.717537 | − | 0.696520i | \(-0.245269\pi\) |
−0.244436 | + | 0.969665i | \(0.578603\pi\) | |||||||
\(138\) | 4.26730 | − | 2.46372i | 0.363256 | − | 0.209726i | ||||
\(139\) | 6.69739 | + | 5.61978i | 0.568065 | + | 0.476663i | 0.881003 | − | 0.473110i | \(-0.156869\pi\) |
−0.312938 | + | 0.949774i | \(0.601313\pi\) | |||||||
\(140\) | 1.47796 | − | 1.90488i | 0.124911 | − | 0.160992i | ||||
\(141\) | −0.899967 | − | 5.10396i | −0.0757909 | − | 0.429831i | ||||
\(142\) | 10.8564 | 0.911045 | ||||||||
\(143\) | 0.233907 | + | 1.32655i | 0.0195603 | + | 0.110932i | ||||
\(144\) | 1.43822 | − | 1.20681i | 0.119852 | − | 0.100568i | ||||
\(145\) | −4.20615 | − | 2.21832i | −0.349302 | − | 0.184222i | ||||
\(146\) | −3.60416 | − | 9.90235i | −0.298283 | − | 0.819525i | ||||
\(147\) | 6.18473i | 0.510108i | ||||||||
\(148\) | 6.07368 | − | 0.332312i | 0.499253 | − | 0.0273159i | ||||
\(149\) | 2.57942 | 0.211314 | 0.105657 | − | 0.994403i | \(-0.466305\pi\) | ||||
0.105657 | + | 0.994403i | \(0.466305\pi\) | |||||||
\(150\) | 0.405096 | + | 5.28198i | 0.0330760 | + | 0.431272i | ||||
\(151\) | 20.9296 | + | 7.61777i | 1.70323 | + | 0.619925i | 0.996187 | − | 0.0872457i | \(-0.0278065\pi\) |
0.707043 | + | 0.707171i | \(0.250029\pi\) | |||||||
\(152\) | −1.07142 | − | 1.27687i | −0.0869036 | − | 0.103568i | ||||
\(153\) | 0.266568 | + | 1.51178i | 0.0215508 | + | 0.122220i | ||||
\(154\) | 0.940784i | 0.0758105i | ||||||||
\(155\) | −0.186794 | − | 4.87830i | −0.0150036 | − | 0.391834i | ||||
\(156\) | 1.41654 | + | 0.817837i | 0.113414 | + | 0.0654794i | ||||
\(157\) | −4.13022 | + | 4.92220i | −0.329627 | + | 0.392834i | −0.905249 | − | 0.424882i | \(-0.860316\pi\) |
0.575622 | + | 0.817716i | \(0.304760\pi\) | |||||||
\(158\) | 4.27992 | − | 2.47101i | 0.340492 | − | 0.196583i | ||||
\(159\) | −2.64158 | + | 4.57536i | −0.209491 | + | 0.362850i | ||||
\(160\) | 0.472263 | + | 2.18563i | 0.0373357 | + | 0.172789i | ||||
\(161\) | −3.22331 | − | 3.84140i | −0.254033 | − | 0.302744i | ||||
\(162\) | −0.0786291 | − | 0.136190i | −0.00617769 | − | 0.0107001i | ||||
\(163\) | −0.526085 | + | 2.98357i | −0.0412061 | + | 0.233692i | −0.998454 | − | 0.0555758i | \(-0.982301\pi\) |
0.957248 | + | 0.289267i | \(0.0934117\pi\) | |||||||
\(164\) | 0.288322 | − | 1.63516i | 0.0225142 | − | 0.127684i | ||||
\(165\) | −1.38832 | − | 1.53149i | −0.108081 | − | 0.119227i | ||||
\(166\) | 1.38948 | − | 3.81756i | 0.107845 | − | 0.296300i | ||||
\(167\) | 0.265056 | + | 0.0964724i | 0.0205106 | + | 0.00746526i | 0.352255 | − | 0.935904i | \(-0.385415\pi\) |
−0.331744 | + | 0.943369i | \(0.607637\pi\) | |||||||
\(168\) | 0.875120 | + | 0.734313i | 0.0675170 | + | 0.0566535i | ||||
\(169\) | −1.84356 | + | 10.4553i | −0.141812 | + | 0.804256i | ||||
\(170\) | −1.74072 | − | 0.559126i | −0.133508 | − | 0.0428830i | ||||
\(171\) | −2.71015 | + | 1.56471i | −0.207251 | + | 0.119656i | ||||
\(172\) | 1.63146 | − | 1.36896i | 0.124398 | − | 0.104382i | ||||
\(173\) | 5.80274 | + | 15.9429i | 0.441174 | + | 1.21212i | 0.938721 | + | 0.344679i | \(0.112012\pi\) |
−0.497546 | + | 0.867438i | \(0.665765\pi\) | |||||||
\(174\) | 1.12658 | − | 1.95129i | 0.0854056 | − | 0.147927i | ||||
\(175\) | 5.22214 | − | 1.33942i | 0.394756 | − | 0.101251i | ||||
\(176\) | −0.668391 | − | 0.560847i | −0.0503819 | − | 0.0422754i | ||||
\(177\) | −5.82513 | + | 10.0894i | −0.437843 | + | 0.758367i | ||||
\(178\) | 15.0870 | − | 2.66025i | 1.13082 | − | 0.199394i | ||||
\(179\) | − | 14.3771i | − | 1.07459i | −0.843393 | − | 0.537297i | \(-0.819446\pi\) | ||
0.843393 | − | 0.537297i | \(-0.180554\pi\) | |||||||
\(180\) | 4.19506 | − | 0.160632i | 0.312681 | − | 0.0119728i | ||||
\(181\) | 11.8298 | − | 9.92638i | 0.879302 | − | 0.737822i | −0.0867336 | − | 0.996232i | \(-0.527643\pi\) |
0.966035 | + | 0.258410i | \(0.0831985\pi\) | |||||||
\(182\) | 0.569327 | − | 1.56421i | 0.0422013 | − | 0.115947i | ||||
\(183\) | 1.89324 | − | 0.689083i | 0.139952 | − | 0.0509385i | ||||
\(184\) | 4.65074 | 0.342857 | ||||||||
\(185\) | 11.1857 | + | 7.73825i | 0.822388 | + | 0.568927i | ||||
\(186\) | 2.31314 | 0.169608 | ||||||||
\(187\) | 0.670392 | − | 0.244003i | 0.0490239 | − | 0.0178433i | ||||
\(188\) | 1.67304 | − | 4.59665i | 0.122019 | − | 0.335245i | ||||
\(189\) | 4.26837 | − | 3.58158i | 0.310478 | − | 0.260522i | ||||
\(190\) | −0.142611 | − | 3.72442i | −0.0103461 | − | 0.270198i | ||||
\(191\) | − | 3.30124i | − | 0.238869i | −0.992842 | − | 0.119435i | \(-0.961892\pi\) | ||
0.992842 | − | 0.119435i | \(-0.0381082\pi\) | |||||||
\(192\) | −1.04340 | + | 0.183980i | −0.0753011 | + | 0.0132776i | ||||
\(193\) | −5.47500 | + | 9.48298i | −0.394099 | + | 0.682600i | −0.992986 | − | 0.118234i | \(-0.962277\pi\) |
0.598886 | + | 0.800834i | \(0.295610\pi\) | |||||||
\(194\) | 8.45589 | + | 7.09534i | 0.607098 | + | 0.509416i | ||||
\(195\) | 1.38152 | + | 3.38653i | 0.0989328 | + | 0.242514i | ||||
\(196\) | −2.91870 | + | 5.05535i | −0.208479 | + | 0.361096i | ||||
\(197\) | −6.48938 | − | 17.8294i | −0.462349 | − | 1.27029i | −0.923714 | − | 0.383084i | \(-0.874862\pi\) |
0.461364 | − | 0.887211i | \(-0.347360\pi\) | |||||||
\(198\) | −1.25488 | + | 1.05297i | −0.0891804 | + | 0.0748312i | ||||
\(199\) | 7.88126 | − | 4.55025i | 0.558688 | − | 0.322558i | −0.193931 | − | 0.981015i | \(-0.562124\pi\) |
0.752619 | + | 0.658457i | \(0.228790\pi\) | |||||||
\(200\) | −2.16156 | + | 4.50862i | −0.152845 | + | 0.318808i | ||||
\(201\) | 1.07594 | − | 6.10197i | 0.0758910 | − | 0.430399i | ||||
\(202\) | −1.97342 | − | 1.65590i | −0.138850 | − | 0.116509i | ||||
\(203\) | −2.15472 | − | 0.784252i | −0.151231 | − | 0.0550437i | ||||
\(204\) | 0.296291 | − | 0.814053i | 0.0207445 | − | 0.0569951i | ||||
\(205\) | 2.75072 | − | 2.49357i | 0.192118 | − | 0.174159i | ||||
\(206\) | 0.874653 | − | 4.96041i | 0.0609400 | − | 0.345608i | ||||
\(207\) | 1.51622 | − | 8.59894i | 0.105385 | − | 0.597667i | ||||
\(208\) | 0.771910 | + | 1.33699i | 0.0535223 | + | 0.0927034i | ||||
\(209\) | 0.934838 | + | 1.11410i | 0.0646641 | + | 0.0770636i | ||||
\(210\) | 0.539508 | + | 2.49683i | 0.0372296 | + | 0.172298i | ||||
\(211\) | 7.52679 | − | 13.0368i | 0.518165 | − | 0.897489i | −0.481612 | − | 0.876385i | \(-0.659949\pi\) |
0.999777 | − | 0.0211041i | \(-0.00671815\pi\) | |||||||
\(212\) | −4.31842 | + | 2.49324i | −0.296590 | + | 0.171236i | ||||
\(213\) | −7.39353 | + | 8.81127i | −0.506596 | + | 0.603738i | ||||
\(214\) | 2.12365 | + | 1.22609i | 0.145170 | + | 0.0838137i | ||||
\(215\) | 4.75872 | − | 0.182215i | 0.324542 | − | 0.0124270i | ||||
\(216\) | 5.16766i | 0.351615i | ||||||||
\(217\) | −0.408776 | − | 2.31828i | −0.0277495 | − | 0.157375i | ||||
\(218\) | −5.85619 | − | 6.97914i | −0.396631 | − | 0.472687i | ||||
\(219\) | 10.4915 | + | 3.81860i | 0.708952 | + | 0.258037i | ||||
\(220\) | −0.412060 | − | 1.90701i | −0.0277811 | − | 0.128571i | ||||
\(221\) | −1.26230 | −0.0849116 | ||||||||
\(222\) | −3.86666 | + | 5.15585i | −0.259513 | + | 0.346038i | ||||
\(223\) | − | 21.7384i | − | 1.45571i | −0.685730 | − | 0.727856i | \(-0.740517\pi\) | ||
0.685730 | − | 0.727856i | \(-0.259483\pi\) | |||||||
\(224\) | 0.368778 | + | 1.01321i | 0.0246400 | + | 0.0676979i | ||||
\(225\) | 7.63147 | + | 5.46648i | 0.508764 | + | 0.364432i | ||||
\(226\) | 7.54341 | − | 6.32967i | 0.501780 | − | 0.421043i | ||||
\(227\) | 2.20438 | + | 12.5017i | 0.146310 | + | 0.829764i | 0.966306 | + | 0.257395i | \(0.0828642\pi\) |
−0.819996 | + | 0.572369i | \(0.806025\pi\) | |||||||
\(228\) | 1.76601 | 0.116957 | ||||||||
\(229\) | −1.74813 | − | 9.91413i | −0.115520 | − | 0.655144i | −0.986492 | − | 0.163812i | \(-0.947621\pi\) |
0.870972 | − | 0.491332i | \(-0.163490\pi\) | |||||||
\(230\) | 8.21631 | + | 6.37487i | 0.541768 | + | 0.420347i | ||||
\(231\) | −0.763562 | − | 0.640704i | −0.0502387 | − | 0.0421553i | ||||
\(232\) | 1.84171 | − | 1.06331i | 0.120914 | − | 0.0698099i | ||||
\(233\) | −6.64095 | − | 3.83415i | −0.435063 | − | 0.251184i | 0.266438 | − | 0.963852i | \(-0.414153\pi\) |
−0.701501 | + | 0.712668i | \(0.747487\pi\) | |||||||
\(234\) | 2.72367 | − | 0.991333i | 0.178052 | − | 0.0648055i | ||||
\(235\) | 9.25645 | − | 5.82748i | 0.603824 | − | 0.380143i | ||||
\(236\) | −9.52283 | + | 5.49801i | −0.619883 | + | 0.357890i | ||||
\(237\) | −0.909234 | + | 5.15652i | −0.0590611 | + | 0.334952i | ||||
\(238\) | −0.868223 | − | 0.153091i | −0.0562786 | − | 0.00992343i | ||||
\(239\) | −4.23812 | + | 5.05080i | −0.274141 | + | 0.326709i | −0.885495 | − | 0.464648i | \(-0.846181\pi\) |
0.611354 | + | 0.791357i | \(0.290625\pi\) | |||||||
\(240\) | −2.09553 | − | 1.10518i | −0.135266 | − | 0.0713393i | ||||
\(241\) | −9.22443 | + | 25.3439i | −0.594197 | + | 1.63254i | 0.168435 | + | 0.985713i | \(0.446129\pi\) |
−0.762633 | + | 0.646832i | \(0.776094\pi\) | |||||||
\(242\) | −7.84330 | − | 6.58131i | −0.504187 | − | 0.423063i | ||||
\(243\) | 15.4316 | + | 2.72100i | 0.989934 | + | 0.174552i | ||||
\(244\) | 1.87271 | + | 0.330210i | 0.119888 | + | 0.0211395i | ||||
\(245\) | −12.0859 | + | 4.93038i | −0.772137 | + | 0.314991i | ||||
\(246\) | 1.13077 | + | 1.34760i | 0.0720955 | + | 0.0859201i | ||||
\(247\) | −0.880117 | − | 2.41810i | −0.0560005 | − | 0.153860i | ||||
\(248\) | 1.89074 | + | 1.09162i | 0.120062 | + | 0.0693179i | ||||
\(249\) | 2.15214 | + | 3.72762i | 0.136386 | + | 0.236228i | ||||
\(250\) | −9.99883 | + | 5.00235i | −0.632381 | + | 0.316376i | ||||
\(251\) | 4.49165 | + | 2.59325i | 0.283510 | + | 0.163685i | 0.635011 | − | 0.772503i | \(-0.280995\pi\) |
−0.351501 | + | 0.936187i | \(0.614329\pi\) | |||||||
\(252\) | 1.99359 | − | 0.351524i | 0.125584 | − | 0.0221439i | ||||
\(253\) | −4.05787 | −0.255116 | ||||||||
\(254\) | 17.5015 | − | 3.08598i | 1.09814 | − | 0.193631i | ||||
\(255\) | 1.63929 | − | 1.03203i | 0.102656 | − | 0.0646282i | ||||
\(256\) | −0.939693 | − | 0.342020i | −0.0587308 | − | 0.0213763i | ||||
\(257\) | 19.8471 | − | 7.22375i | 1.23803 | − | 0.450605i | 0.361689 | − | 0.932299i | \(-0.382200\pi\) |
0.876340 | + | 0.481694i | \(0.159978\pi\) | |||||||
\(258\) | 2.25644i | 0.140480i | ||||||||
\(259\) | 5.85063 | + | 2.96412i | 0.363540 | + | 0.184181i | ||||
\(260\) | −0.468930 | + | 3.42009i | −0.0290818 | + | 0.212105i | ||||
\(261\) | −1.36557 | − | 3.75187i | −0.0845267 | − | 0.232235i | ||||
\(262\) | 2.37046 | − | 6.51279i | 0.146448 | − | 0.402361i | ||||
\(263\) | −19.4723 | − | 23.2062i | −1.20072 | − | 1.43096i | −0.874062 | − | 0.485814i | \(-0.838523\pi\) |
−0.326654 | − | 0.945144i | \(-0.605921\pi\) | |||||||
\(264\) | 0.910392 | − | 0.160527i | 0.0560307 | − | 0.00987973i | ||||
\(265\) | −11.0468 | − | 1.51463i | −0.678597 | − | 0.0930428i | ||||
\(266\) | −0.312087 | − | 1.76993i | −0.0191353 | − | 0.108522i | ||||
\(267\) | −8.11564 | + | 14.0567i | −0.496669 | + | 0.860256i | ||||
\(268\) | 3.75911 | − | 4.47994i | 0.229624 | − | 0.273656i | ||||
\(269\) | −4.54723 | − | 7.87603i | −0.277250 | − | 0.480210i | 0.693451 | − | 0.720504i | \(-0.256090\pi\) |
−0.970700 | + | 0.240294i | \(0.922756\pi\) | |||||||
\(270\) | −7.08344 | + | 9.12955i | −0.431084 | + | 0.555607i | ||||
\(271\) | −12.8176 | + | 4.66521i | −0.778612 | + | 0.283391i | −0.700594 | − | 0.713561i | \(-0.747081\pi\) |
−0.0780180 | + | 0.996952i | \(0.524859\pi\) | |||||||
\(272\) | 0.626355 | − | 0.525574i | 0.0379784 | − | 0.0318676i | ||||
\(273\) | 0.881821 | + | 1.52736i | 0.0533702 | + | 0.0924399i | ||||
\(274\) | −6.29702 | − | 1.11033i | −0.380417 | − | 0.0670778i | ||||
\(275\) | 1.88601 | − | 3.93387i | 0.113731 | − | 0.237222i | ||||
\(276\) | −3.16730 | + | 3.77465i | −0.190649 | + | 0.227207i | ||||
\(277\) | −22.5852 | − | 8.22034i | −1.35701 | − | 0.493913i | −0.441884 | − | 0.897072i | \(-0.645690\pi\) |
−0.915130 | + | 0.403160i | \(0.867912\pi\) | |||||||
\(278\) | −8.21557 | − | 2.99022i | −0.492737 | − | 0.179342i | ||||
\(279\) | 2.63476 | − | 3.13998i | 0.157739 | − | 0.187986i | ||||
\(280\) | −0.737321 | + | 2.29550i | −0.0440633 | + | 0.137182i | ||||
\(281\) | −9.23169 | − | 1.62780i | −0.550716 | − | 0.0971061i | −0.108636 | − | 0.994082i | \(-0.534648\pi\) |
−0.442080 | + | 0.896975i | \(0.645759\pi\) | |||||||
\(282\) | 2.59135 | + | 4.48835i | 0.154313 | + | 0.267277i | ||||
\(283\) | −8.38991 | + | 7.03997i | −0.498729 | + | 0.418483i | −0.857142 | − | 0.515080i | \(-0.827762\pi\) |
0.358414 | + | 0.933563i | \(0.383318\pi\) | |||||||
\(284\) | −10.2016 | + | 3.71309i | −0.605356 | + | 0.220332i | ||||
\(285\) | 3.11995 | + | 2.42071i | 0.184810 | + | 0.143390i | ||||
\(286\) | −0.673509 | − | 1.16655i | −0.0398254 | − | 0.0689796i | ||||
\(287\) | 1.15077 | − | 1.37144i | 0.0679279 | − | 0.0809533i | ||||
\(288\) | −0.938732 | + | 1.62593i | −0.0553153 | + | 0.0958089i | ||||
\(289\) | −2.83593 | − | 16.0833i | −0.166819 | − | 0.946079i | ||||
\(290\) | 4.71120 | + | 0.645955i | 0.276651 | + | 0.0379318i | ||||
\(291\) | −11.5175 | + | 2.03084i | −0.675166 | + | 0.119050i | ||||
\(292\) | 6.77361 | + | 8.07247i | 0.396395 | + | 0.472406i | ||||
\(293\) | −1.24458 | + | 3.41945i | −0.0727090 | + | 0.199766i | −0.970724 | − | 0.240199i | \(-0.922787\pi\) |
0.898015 | + | 0.439966i | \(0.145009\pi\) | |||||||
\(294\) | −2.11530 | − | 5.81174i | −0.123367 | − | 0.338948i | ||||
\(295\) | −24.3599 | − | 3.34000i | −1.41829 | − | 0.194462i | ||||
\(296\) | −5.59373 | + | 2.38959i | −0.325129 | + | 0.138892i | ||||
\(297\) | − | 4.50890i | − | 0.261633i | ||||||
\(298\) | −2.42386 | + | 0.882214i | −0.140411 | + | 0.0511053i | ||||
\(299\) | 6.74690 | + | 2.45567i | 0.390183 | + | 0.142015i | ||||
\(300\) | −2.18721 | − | 4.82489i | −0.126279 | − | 0.278565i | ||||
\(301\) | 2.26145 | − | 0.398755i | 0.130348 | − | 0.0229839i | ||||
\(302\) | −22.2729 | −1.28166 | ||||||||
\(303\) | 2.68793 | − | 0.473955i | 0.154418 | − | 0.0272280i | ||||
\(304\) | 1.44352 | + | 0.833416i | 0.0827915 | + | 0.0477997i | ||||
\(305\) | 2.85584 | + | 3.15034i | 0.163525 | + | 0.180388i | ||||
\(306\) | −0.767552 | − | 1.32944i | −0.0438781 | − | 0.0759990i | ||||
\(307\) | −0.732784 | − | 0.423073i | −0.0418222 | − | 0.0241461i | 0.478943 | − | 0.877846i | \(-0.341020\pi\) |
−0.520765 | + | 0.853700i | \(0.674353\pi\) | |||||||
\(308\) | −0.321767 | − | 0.884048i | −0.0183344 | − | 0.0503733i | ||||
\(309\) | 3.43031 | + | 4.08809i | 0.195144 | + | 0.232563i | ||||
\(310\) | 1.84401 | + | 4.52021i | 0.104732 | + | 0.256731i | ||||
\(311\) | −12.8692 | − | 2.26918i | −0.729745 | − | 0.128674i | −0.203582 | − | 0.979058i | \(-0.565258\pi\) |
−0.526162 | + | 0.850384i | \(0.676370\pi\) | |||||||
\(312\) | −1.61083 | − | 0.284032i | −0.0911950 | − | 0.0160801i | ||||
\(313\) | −4.47117 | − | 3.75176i | −0.252726 | − | 0.212062i | 0.507619 | − | 0.861581i | \(-0.330526\pi\) |
−0.760345 | + | 0.649520i | \(0.774970\pi\) | |||||||
\(314\) | 2.19764 | − | 6.03797i | 0.124020 | − | 0.340743i | ||||
\(315\) | 4.00386 | + | 2.11164i | 0.225592 | + | 0.118977i | ||||
\(316\) | −3.17667 | + | 3.78581i | −0.178702 | + | 0.212968i | ||||
\(317\) | 18.3987 | + | 3.24419i | 1.03338 | + | 0.182212i | 0.664517 | − | 0.747273i | \(-0.268637\pi\) |
0.368859 | + | 0.929485i | \(0.379748\pi\) | |||||||
\(318\) | 0.917413 | − | 5.20291i | 0.0514460 | − | 0.291764i | ||||
\(319\) | −1.60693 | + | 0.927764i | −0.0899710 | + | 0.0519448i | ||||
\(320\) | −1.19131 | − | 1.89229i | −0.0665963 | − | 0.105782i | ||||
\(321\) | −2.44139 | + | 0.888595i | −0.136265 | + | 0.0495965i | ||||
\(322\) | 4.34276 | + | 2.50729i | 0.242013 | + | 0.139726i | ||||
\(323\) | −1.18029 | + | 0.681442i | −0.0656732 | + | 0.0379164i | ||||
\(324\) | 0.120467 | + | 0.101084i | 0.00669260 | + | 0.00561576i | ||||
\(325\) | −5.51644 | + | 5.39939i | −0.305997 | + | 0.299504i | ||||
\(326\) | −0.526085 | − | 2.98357i | −0.0291371 | − | 0.165245i | ||||
\(327\) | 9.65268 | 0.533795 | ||||||||
\(328\) | 0.288322 | + | 1.63516i | 0.0159199 | + | 0.0902865i | ||||
\(329\) | 4.04039 | − | 3.39029i | 0.222754 | − | 0.186913i | ||||
\(330\) | 1.82840 | + | 0.964298i | 0.100650 | + | 0.0530828i | ||||
\(331\) | 2.62689 | + | 7.21733i | 0.144387 | + | 0.396700i | 0.990714 | − | 0.135964i | \(-0.0434131\pi\) |
−0.846327 | + | 0.532664i | \(0.821191\pi\) | |||||||
\(332\) | 4.06257i | 0.222962i | ||||||||
\(333\) | 2.59455 | + | 11.1215i | 0.142181 | + | 0.609456i | ||||
\(334\) | −0.282066 | −0.0154340 | ||||||||
\(335\) | 12.7819 | − | 2.76186i | 0.698348 | − | 0.150897i | ||||
\(336\) | −1.07349 | − | 0.390720i | −0.0585639 | − | 0.0213155i | ||||
\(337\) | −10.3303 | − | 12.3112i | −0.562728 | − | 0.670633i | 0.407394 | − | 0.913253i | \(-0.366438\pi\) |
−0.970121 | + | 0.242620i | \(0.921993\pi\) | |||||||
\(338\) | −1.84356 | − | 10.4553i | −0.100276 | − | 0.568695i | ||||
\(339\) | 10.4331i | 0.566649i | ||||||||
\(340\) | 1.82698 | − | 0.0699565i | 0.0990818 | − | 0.00379392i | ||||
\(341\) | −1.64971 | − | 0.952463i | −0.0893371 | − | 0.0515788i | ||||
\(342\) | 2.01155 | − | 2.39727i | 0.108772 | − | 0.129630i | ||||
\(343\) | −11.9873 | + | 6.92087i | −0.647253 | + | 0.373692i | ||||
\(344\) | −1.06486 | + | 1.84439i | −0.0574135 | + | 0.0994431i | ||||
\(345\) | −10.7696 | + | 2.32705i | −0.579814 | + | 0.125284i | ||||
\(346\) | −10.9056 | − | 12.9968i | −0.586288 | − | 0.698711i | ||||
\(347\) | 10.0777 | + | 17.4551i | 0.541001 | + | 0.937041i | 0.998847 | + | 0.0480094i | \(0.0152878\pi\) |
−0.457846 | + | 0.889031i | \(0.651379\pi\) | |||||||
\(348\) | −0.391256 | + | 2.21892i | −0.0209735 | + | 0.118947i | ||||
\(349\) | −0.0949475 | + | 0.538474i | −0.00508242 | + | 0.0288239i | −0.987244 | − | 0.159218i | \(-0.949103\pi\) |
0.982161 | + | 0.188042i | \(0.0602140\pi\) | |||||||
\(350\) | −4.44909 | + | 3.04472i | −0.237814 | + | 0.162747i | ||||
\(351\) | −2.72862 | + | 7.49681i | −0.145643 | + | 0.400150i | ||||
\(352\) | 0.819903 | + | 0.298420i | 0.0437010 | + | 0.0159059i | ||||
\(353\) | 9.42472 | + | 7.90828i | 0.501627 | + | 0.420915i | 0.858171 | − | 0.513363i | \(-0.171601\pi\) |
−0.356544 | + | 0.934278i | \(0.616045\pi\) | |||||||
\(354\) | 2.02305 | − | 11.4733i | 0.107524 | − | 0.609797i | ||||
\(355\) | −23.1125 | − | 7.42381i | −1.22669 | − | 0.394015i | ||||
\(356\) | −13.2673 | + | 7.65989i | −0.703166 | + | 0.405973i | ||||
\(357\) | 0.715540 | − | 0.600410i | 0.0378704 | − | 0.0317771i | ||||
\(358\) | 4.91725 | + | 13.5100i | 0.259885 | + | 0.714028i | ||||
\(359\) | 13.2940 | − | 23.0258i | 0.701629 | − | 1.21526i | −0.266265 | − | 0.963900i | \(-0.585790\pi\) |
0.967894 | − | 0.251358i | \(-0.0808771\pi\) | |||||||
\(360\) | −3.88713 | + | 1.58574i | −0.204870 | + | 0.0835759i | ||||
\(361\) | 12.4265 | + | 10.4271i | 0.654027 | + | 0.548794i | ||||
\(362\) | −7.72135 | + | 13.3738i | −0.405825 | + | 0.702910i | ||||
\(363\) | 10.6831 | − | 1.88372i | 0.560717 | − | 0.0988695i | ||||
\(364\) | 1.66460i | 0.0872488i | ||||||||
\(365\) | 0.901600 | + | 23.5461i | 0.0471919 | + | 1.23246i | ||||
\(366\) | −1.54338 | + | 1.29505i | −0.0806739 | + | 0.0676935i | ||||
\(367\) | −3.36052 | + | 9.23295i | −0.175418 | + | 0.481956i | −0.995977 | − | 0.0896048i | \(-0.971440\pi\) |
0.820560 | + | 0.571561i | \(0.193662\pi\) | |||||||
\(368\) | −4.37026 | + | 1.59065i | −0.227816 | + | 0.0829182i | ||||
\(369\) | 3.11731 | 0.162280 | ||||||||
\(370\) | −13.1577 | − | 3.44584i | −0.684038 | − | 0.179141i | ||||
\(371\) | −5.37660 | −0.279139 | ||||||||
\(372\) | −2.17364 | + | 0.791140i | −0.112698 | + | 0.0410187i | ||||
\(373\) | 8.97241 | − | 24.6515i | 0.464574 | − | 1.27641i | −0.457437 | − | 0.889242i | \(-0.651233\pi\) |
0.922011 | − | 0.387164i | \(-0.126545\pi\) | |||||||
\(374\) | −0.546509 | + | 0.458575i | −0.0282593 | + | 0.0237124i | ||||
\(375\) | 2.74951 | − | 11.5220i | 0.141984 | − | 0.594995i | ||||
\(376\) | 4.89166i | 0.252268i | ||||||||
\(377\) | 3.23325 | − | 0.570109i | 0.166521 | − | 0.0293621i | ||||
\(378\) | −2.78598 | + | 4.82545i | −0.143295 | + | 0.248195i | ||||
\(379\) | −3.82454 | − | 3.20917i | −0.196453 | − | 0.164844i | 0.539255 | − | 0.842143i | \(-0.318706\pi\) |
−0.735708 | + | 0.677299i | \(0.763150\pi\) | |||||||
\(380\) | 1.40784 | + | 3.45104i | 0.0722206 | + | 0.177034i | ||||
\(381\) | −9.41440 | + | 16.3062i | −0.482315 | + | 0.835393i | ||||
\(382\) | 1.12909 | + | 3.10215i | 0.0577692 | + | 0.158720i | ||||
\(383\) | 24.8001 | − | 20.8097i | 1.26722 | − | 1.06333i | 0.272351 | − | 0.962198i | \(-0.412199\pi\) |
0.994873 | − | 0.101130i | \(-0.0322457\pi\) | |||||||
\(384\) | 0.917552 | − | 0.529749i | 0.0468237 | − | 0.0270336i | ||||
\(385\) | 0.643329 | − | 2.00287i | 0.0327871 | − | 0.102076i | ||||
\(386\) | 1.90145 | − | 10.7837i | 0.0967812 | − | 0.548873i | ||||
\(387\) | 3.06301 | + | 2.57017i | 0.155702 | + | 0.130649i | ||||
\(388\) | −10.3727 | − | 3.77535i | −0.526594 | − | 0.191664i | ||||
\(389\) | −6.55864 | + | 18.0197i | −0.332536 | + | 0.913636i | 0.654914 | + | 0.755704i | \(0.272705\pi\) |
−0.987450 | + | 0.157932i | \(0.949517\pi\) | |||||||
\(390\) | −2.45647 | − | 2.70979i | −0.124388 | − | 0.137215i | ||||
\(391\) | 0.660327 | − | 3.74490i | 0.0333941 | − | 0.189388i | ||||
\(392\) | 1.01366 | − | 5.74873i | 0.0511973 | − | 0.290355i | ||||
\(393\) | 3.67157 | + | 6.35934i | 0.185206 | + | 0.320786i | ||||
\(394\) | 12.1961 | + | 14.5347i | 0.614428 | + | 0.732247i | ||||
\(395\) | −10.8014 | + | 2.33394i | −0.543479 | + | 0.117433i | ||||
\(396\) | 0.819064 | − | 1.41866i | 0.0411595 | − | 0.0712904i | ||||
\(397\) | 28.7635 | − | 16.6066i | 1.44360 | − | 0.833461i | 0.445510 | − | 0.895277i | \(-0.353022\pi\) |
0.998088 | + | 0.0618156i | \(0.0196891\pi\) | |||||||
\(398\) | −5.84969 | + | 6.97138i | −0.293218 | + | 0.349444i | ||||
\(399\) | 1.64906 | + | 0.952085i | 0.0825562 | + | 0.0476639i | ||||
\(400\) | 0.489160 | − | 4.97601i | 0.0244580 | − | 0.248801i | ||||
\(401\) | − | 6.78294i | − | 0.338724i | −0.985554 | − | 0.169362i | \(-0.945829\pi\) | ||
0.985554 | − | 0.169362i | \(-0.0541707\pi\) | |||||||
\(402\) | 1.07594 | + | 6.10197i | 0.0536631 | + | 0.304338i | ||||
\(403\) | 2.16653 | + | 2.58198i | 0.107923 | + | 0.128617i | ||||
\(404\) | 2.42076 | + | 0.881086i | 0.120437 | + | 0.0438357i | ||||
\(405\) | 0.0742673 | + | 0.343708i | 0.00369037 | + | 0.0170790i | ||||
\(406\) | 2.29300 | 0.113800 | ||||||||
\(407\) | 4.88066 | − | 2.08497i | 0.241925 | − | 0.103348i | ||||
\(408\) | 0.866297i | 0.0428881i | ||||||||
\(409\) | −3.95396 | − | 10.8634i | −0.195511 | − | 0.537161i | 0.802737 | − | 0.596333i | \(-0.203376\pi\) |
−0.998248 | + | 0.0591720i | \(0.981154\pi\) | |||||||
\(410\) | −1.73198 | + | 3.28399i | −0.0855363 | + | 0.162185i | ||||
\(411\) | 5.18965 | − | 4.35463i | 0.255986 | − | 0.214798i | ||||
\(412\) | 0.874653 | + | 4.96041i | 0.0430911 | + | 0.244382i | ||||
\(413\) | −11.8563 | −0.583410 | ||||||||
\(414\) | 1.51622 | + | 8.59894i | 0.0745184 | + | 0.422615i | ||||
\(415\) | −5.56865 | + | 7.17721i | −0.273354 | + | 0.352315i | ||||
\(416\) | −1.18263 | − | 0.992348i | −0.0579834 | − | 0.0486539i | ||||
\(417\) | 8.02200 | − | 4.63150i | 0.392839 | − | 0.226806i | ||||
\(418\) | −1.25950 | − | 0.727174i | −0.0616043 | − | 0.0355673i | ||||
\(419\) | 16.0572 | − | 5.84436i | 0.784448 | − | 0.285516i | 0.0814217 | − | 0.996680i | \(-0.474054\pi\) |
0.703026 | + | 0.711164i | \(0.251832\pi\) | |||||||
\(420\) | −1.36094 | − | 2.16173i | −0.0664070 | − | 0.105482i | ||||
\(421\) | 1.95703 | − | 1.12989i | 0.0953798 | − | 0.0550675i | −0.451551 | − | 0.892245i | \(-0.649129\pi\) |
0.546931 | + | 0.837178i | \(0.315796\pi\) | |||||||
\(422\) | −2.61403 | + | 14.8249i | −0.127249 | + | 0.721664i | ||||
\(423\) | 9.04438 | + | 1.59477i | 0.439753 | + | 0.0775403i | ||||
\(424\) | 3.20525 | − | 3.81987i | 0.155661 | − | 0.185509i | ||||
\(425\) | 3.32356 | + | 2.38069i | 0.161216 | + | 0.115481i | ||||
\(426\) | 3.93402 | − | 10.8086i | 0.190604 | − | 0.523679i | ||||
\(427\) | 1.57068 | + | 1.31795i | 0.0760104 | + | 0.0637803i | ||||
\(428\) | −2.41492 | − | 0.425816i | −0.116730 | − | 0.0205826i | ||||
\(429\) | 1.40548 | + | 0.247824i | 0.0678573 | + | 0.0119651i | ||||
\(430\) | −4.40941 | + | 1.79880i | −0.212641 | + | 0.0867460i | ||||
\(431\) | −9.25962 | − | 11.0352i | −0.446020 | − | 0.531546i | 0.495453 | − | 0.868635i | \(-0.335002\pi\) |
−0.941473 | + | 0.337089i | \(0.890558\pi\) | |||||||
\(432\) | −1.76745 | − | 4.85602i | −0.0850362 | − | 0.233635i | ||||
\(433\) | 8.73101 | + | 5.04085i | 0.419586 | + | 0.242248i | 0.694900 | − | 0.719106i | \(-0.255449\pi\) |
−0.275314 | + | 0.961354i | \(0.588782\pi\) | |||||||
\(434\) | 1.17702 | + | 2.03866i | 0.0564989 | + | 0.0978590i | ||||
\(435\) | −3.73275 | + | 3.38380i | −0.178972 | + | 0.162241i | ||||
\(436\) | 7.89003 | + | 4.55531i | 0.377864 | + | 0.218160i | ||||
\(437\) | 7.63423 | − | 1.34612i | 0.365195 | − | 0.0643937i | ||||
\(438\) | −11.1648 | −0.533477 | ||||||||
\(439\) | −9.15624 | + | 1.61449i | −0.437003 | + | 0.0770555i | −0.387822 | − | 0.921734i | \(-0.626772\pi\) |
−0.0491815 | + | 0.998790i | \(0.515661\pi\) | |||||||
\(440\) | 1.03945 | + | 1.65107i | 0.0495536 | + | 0.0787117i | ||||
\(441\) | −10.2986 | − | 3.74838i | −0.490409 | − | 0.178494i | ||||
\(442\) | 1.18618 | − | 0.431733i | 0.0564206 | − | 0.0205354i | ||||
\(443\) | 35.7351i | 1.69783i | 0.528531 | + | 0.848914i | \(0.322743\pi\) | ||||
−0.528531 | + | 0.848914i | \(0.677257\pi\) | |||||||
\(444\) | 1.87007 | − | 6.16739i | 0.0887494 | − | 0.292691i | ||||
\(445\) | −33.9385 | − | 4.65333i | −1.60884 | − | 0.220589i | ||||
\(446\) | 7.43498 | + | 20.4274i | 0.352056 | + | 0.967267i | ||||
\(447\) | 0.934704 | − | 2.56808i | 0.0442100 | − | 0.121466i | ||||
\(448\) | −0.693076 | − | 0.825976i | −0.0327448 | − | 0.0390237i | ||||
\(449\) | 18.1541 | − | 3.20105i | 0.856743 | − | 0.151067i | 0.272012 | − | 0.962294i | \(-0.412311\pi\) |
0.584731 | + | 0.811227i | \(0.301200\pi\) | |||||||
\(450\) | −9.04088 | − | 2.52670i | −0.426191 | − | 0.119110i | ||||
\(451\) | −0.251568 | − | 1.42671i | −0.0118459 | − | 0.0671812i | ||||
\(452\) | −4.92361 | + | 8.52794i | −0.231587 | + | 0.401121i | ||||
\(453\) | 15.1685 | − | 18.0772i | 0.712680 | − | 0.849339i | ||||
\(454\) | −6.34726 | − | 10.9938i | −0.297891 | − | 0.515963i | ||||
\(455\) | −2.28171 | + | 2.94080i | −0.106968 | + | 0.137867i | ||||
\(456\) | −1.65950 | + | 0.604010i | −0.0777134 | + | 0.0282853i | ||||
\(457\) | 25.8346 | − | 21.6778i | 1.20849 | − | 1.01404i | 0.209144 | − | 0.977885i | \(-0.432932\pi\) |
0.999346 | − | 0.0361587i | \(-0.0115122\pi\) | |||||||
\(458\) | 5.03353 | + | 8.71834i | 0.235202 | + | 0.407381i | ||||
\(459\) | 4.16114 | + | 0.733721i | 0.194225 | + | 0.0342472i | ||||
\(460\) | −9.90114 | − | 3.18028i | −0.461643 | − | 0.148281i | ||||
\(461\) | 19.5455 | − | 23.2934i | 0.910323 | − | 1.08488i | −0.0857480 | − | 0.996317i | \(-0.527328\pi\) |
0.996071 | − | 0.0885633i | \(-0.0282276\pi\) | |||||||
\(462\) | 0.936647 | + | 0.340912i | 0.0435768 | + | 0.0158606i | ||||
\(463\) | −31.3726 | − | 11.4187i | −1.45801 | − | 0.530672i | −0.513194 | − | 0.858273i | \(-0.671538\pi\) |
−0.944816 | + | 0.327600i | \(0.893760\pi\) | |||||||
\(464\) | −1.36697 | + | 1.62909i | −0.0634599 | + | 0.0756286i | ||||
\(465\) | −4.92454 | − | 1.58178i | −0.228370 | − | 0.0733531i | ||||
\(466\) | 7.55181 | + | 1.33159i | 0.349831 | + | 0.0616846i | ||||
\(467\) | 9.94276 | + | 17.2214i | 0.460096 | + | 0.796910i | 0.998965 | − | 0.0454795i | \(-0.0144816\pi\) |
−0.538869 | + | 0.842390i | \(0.681148\pi\) | |||||||
\(468\) | −2.22035 | + | 1.86310i | −0.102636 | + | 0.0861217i | ||||
\(469\) | 5.92539 | − | 2.15667i | 0.273609 | − | 0.0995856i | ||||
\(470\) | −6.70511 | + | 8.64194i | −0.309283 | + | 0.398623i | ||||
\(471\) | 3.40389 | + | 5.89571i | 0.156843 | + | 0.271660i | ||||
\(472\) | 7.06810 | − | 8.42343i | 0.325336 | − | 0.387720i | ||||
\(473\) | 0.929115 | − | 1.60928i | 0.0427208 | − | 0.0739946i | ||||
\(474\) | −0.909234 | − | 5.15652i | −0.0417625 | − | 0.236847i | ||||
\(475\) | −2.24323 | + | 8.02659i | −0.102926 | + | 0.368285i | ||||
\(476\) | 0.868223 | − | 0.153091i | 0.0397949 | − | 0.00701692i | ||||
\(477\) | −6.01774 | − | 7.17166i | −0.275533 | − | 0.328368i | ||||
\(478\) | 2.25506 | − | 6.19572i | 0.103144 | − | 0.283386i | ||||
\(479\) | 7.41314 | + | 20.3674i | 0.338715 | + | 0.930612i | 0.985760 | + | 0.168160i | \(0.0537824\pi\) |
−0.647045 | + | 0.762452i | \(0.723995\pi\) | |||||||
\(480\) | 2.34715 | + | 0.321819i | 0.107132 | + | 0.0146890i | ||||
\(481\) | −9.37667 | + | 0.513030i | −0.427539 | + | 0.0233921i | ||||
\(482\) | − | 26.9704i | − | 1.22847i | ||||||
\(483\) | −4.99254 | + | 1.81713i | −0.227168 | + | 0.0826825i | ||||
\(484\) | 9.62124 | + | 3.50184i | 0.437329 | + | 0.159175i | ||||
\(485\) | −13.1501 | − | 20.8879i | −0.597117 | − | 0.948470i | ||||
\(486\) | −15.4316 | + | 2.72100i | −0.699989 | + | 0.123427i | ||||
\(487\) | −36.5419 | −1.65587 | −0.827937 | − | 0.560822i | \(-0.810485\pi\) | ||||
−0.827937 | + | 0.560822i | \(0.810485\pi\) | |||||||
\(488\) | −1.87271 | + | 0.330210i | −0.0847737 | + | 0.0149479i | ||||
\(489\) | 2.77982 | + | 1.60493i | 0.125708 | + | 0.0725774i | ||||
\(490\) | 9.67070 | − | 8.76665i | 0.436878 | − | 0.396037i | ||||
\(491\) | 11.9230 | + | 20.6513i | 0.538078 | + | 0.931979i | 0.999008 | + | 0.0445419i | \(0.0141828\pi\) |
−0.460929 | + | 0.887437i | \(0.652484\pi\) | |||||||
\(492\) | −1.52349 | − | 0.879586i | −0.0686841 | − | 0.0396548i | ||||
\(493\) | −0.594715 | − | 1.63397i | −0.0267846 | − | 0.0735902i | ||||
\(494\) | 1.65408 | + | 1.97125i | 0.0744205 | + | 0.0886909i | ||||
\(495\) | 3.39161 | − | 1.38359i | 0.152441 | − | 0.0621879i | ||||
\(496\) | −2.15007 | − | 0.379116i | −0.0965411 | − | 0.0170228i | ||||
\(497\) | −11.5279 | − | 2.03267i | −0.517095 | − | 0.0911779i | ||||
\(498\) | −3.29727 | − | 2.76674i | −0.147754 | − | 0.123981i | ||||
\(499\) | 12.9665 | − | 35.6251i | 0.580458 | − | 1.59480i | −0.206941 | − | 0.978353i | \(-0.566351\pi\) |
0.787399 | − | 0.616443i | \(-0.211427\pi\) | |||||||
\(500\) | 7.68492 | − | 8.12047i | 0.343680 | − | 0.363158i | ||||
\(501\) | 0.192096 | − | 0.228932i | 0.00858223 | − | 0.0102279i | ||||
\(502\) | −5.10771 | − | 0.900627i | −0.227968 | − | 0.0401970i | ||||
\(503\) | 6.98751 | − | 39.6282i | 0.311558 | − | 1.76693i | −0.279346 | − | 0.960191i | \(-0.590118\pi\) |
0.590904 | − | 0.806742i | \(-0.298771\pi\) | |||||||
\(504\) | −1.75314 | + | 1.01217i | −0.0780909 | + | 0.0450858i | ||||
\(505\) | 3.06896 | + | 4.87478i | 0.136567 | + | 0.216925i | ||||
\(506\) | 3.81315 | − | 1.38787i | 0.169515 | − | 0.0616985i | ||||
\(507\) | 9.74131 | + | 5.62415i | 0.432627 | + | 0.249777i | ||||
\(508\) | −15.3905 | + | 8.88572i | −0.682844 | + | 0.394240i | ||||
\(509\) | 15.7389 | + | 13.2065i | 0.697617 | + | 0.585370i | 0.921094 | − | 0.389339i | \(-0.127297\pi\) |
−0.223478 | + | 0.974709i | \(0.571741\pi\) | |||||||
\(510\) | −1.18745 | + | 1.53046i | −0.0525813 | + | 0.0677699i | ||||
\(511\) | 1.97304 | + | 11.1897i | 0.0872822 | + | 0.495002i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | 1.49574 | + | 8.48277i | 0.0660386 | + | 0.374523i | ||||
\(514\) | −16.1795 | + | 13.5762i | −0.713647 | + | 0.598821i | ||||
\(515\) | −5.25412 | + | 9.96230i | −0.231524 | + | 0.438991i | ||||
\(516\) | −0.771747 | − | 2.12036i | −0.0339743 | − | 0.0933435i | ||||
\(517\) | − | 4.26808i | − | 0.187710i | ||||||
\(518\) | −6.51158 | − | 0.784329i | −0.286102 | − | 0.0344615i | ||||
\(519\) | 17.9755 | 0.789039 | ||||||||
\(520\) | −0.729089 | − | 3.37422i | −0.0319727 | − | 0.147969i | ||||
\(521\) | −7.39970 | − | 2.69327i | −0.324187 | − | 0.117994i | 0.174800 | − | 0.984604i | \(-0.444072\pi\) |
−0.498987 | + | 0.866610i | \(0.666294\pi\) | |||||||
\(522\) | 2.56643 | + | 3.05855i | 0.112330 | + | 0.133869i | ||||
\(523\) | 2.06053 | + | 11.6858i | 0.0901006 | + | 0.510986i | 0.996139 | + | 0.0877905i | \(0.0279806\pi\) |
−0.906038 | + | 0.423196i | \(0.860908\pi\) | |||||||
\(524\) | 6.93076i | 0.302772i | ||||||||
\(525\) | 0.558811 | − | 5.68454i | 0.0243885 | − | 0.248094i | ||||
\(526\) | 26.2350 | + | 15.1468i | 1.14390 | + | 0.660432i | ||||
\(527\) | 1.14745 | − | 1.36748i | 0.0499839 | − | 0.0595685i | ||||
\(528\) | −0.800585 | + | 0.462218i | −0.0348410 | + | 0.0201155i | ||||
\(529\) | 0.685317 | − | 1.18700i | 0.0297964 | − | 0.0516089i | ||||
\(530\) | 10.8986 | − | 2.35493i | 0.473405 | − | 0.102292i | ||||
\(531\) | −13.2701 | − | 15.8147i | −0.575873 | − | 0.686299i | ||||
\(532\) | 0.898618 | + | 1.55645i | 0.0389601 | + | 0.0674808i | ||||
\(533\) | −0.445118 | + | 2.52439i | −0.0192802 | + | 0.109343i | ||||
\(534\) | 2.81853 | − | 15.9847i | 0.121970 | − | 0.691725i | ||||
\(535\) | −3.68269 | − | 4.06247i | −0.159217 | − | 0.175636i | ||||
\(536\) | −2.00018 | + | 5.49546i | −0.0863947 | + | 0.237368i | ||||
\(537\) | −14.3139 | − | 5.20982i | −0.617689 | − | 0.224820i | ||||
\(538\) | 6.96676 | + | 5.84581i | 0.300358 | + | 0.252031i | ||||
\(539\) | −0.884437 | + | 5.01589i | −0.0380954 | + | 0.216050i | ||||
\(540\) | 3.53376 | − | 11.0016i | 0.152069 | − | 0.473436i | ||||
\(541\) | 36.1647 | − | 20.8797i | 1.55484 | − | 0.897689i | 0.557106 | − | 0.830441i | \(-0.311912\pi\) |
0.997736 | − | 0.0672476i | \(-0.0214217\pi\) | |||||||
\(542\) | 10.4490 | − | 8.76773i | 0.448822 | − | 0.376606i | ||||
\(543\) | −5.59597 | − | 15.3748i | −0.240146 | − | 0.659796i | ||||
\(544\) | −0.408824 | + | 0.708104i | −0.0175282 | + | 0.0303597i | ||||
\(545\) | 7.69500 | + | 18.8628i | 0.329617 | + | 0.807992i | ||||
\(546\) | −1.35103 | − | 1.13365i | −0.0578186 | − | 0.0485156i | ||||
\(547\) | −21.5669 | + | 37.3550i | −0.922135 | + | 1.59718i | −0.126030 | + | 0.992026i | \(0.540223\pi\) |
−0.796105 | + | 0.605158i | \(0.793110\pi\) | |||||||
\(548\) | 6.29702 | − | 1.11033i | 0.268995 | − | 0.0474311i | ||||
\(549\) | 3.57019i | 0.152372i | ||||||||
\(550\) | −0.426803 | + | 4.34168i | −0.0181989 | + | 0.185130i | ||||
\(551\) | 2.71542 | − | 2.27851i | 0.115681 | − | 0.0970677i | ||||
\(552\) | 1.68529 | − | 4.63029i | 0.0717306 | − | 0.197078i | ||||
\(553\) | −5.00731 | + | 1.82251i | −0.212932 | + | 0.0775010i | ||||
\(554\) | 24.0347 | 1.02114 | ||||||||
\(555\) | 11.7576 | − | 8.33239i | 0.499081 | − | 0.353690i | ||||
\(556\) | 8.74282 | 0.370778 | ||||||||
\(557\) | 25.8419 | − | 9.40569i | 1.09496 | − | 0.398532i | 0.269502 | − | 0.963000i | \(-0.413141\pi\) |
0.825455 | + | 0.564468i | \(0.190919\pi\) | |||||||
\(558\) | −1.40192 | + | 3.85176i | −0.0593482 | + | 0.163058i | ||||
\(559\) | −2.51868 | + | 2.11343i | −0.106529 | + | 0.0893884i | ||||
\(560\) | −0.0922517 | − | 2.40924i | −0.00389835 | − | 0.101809i | ||||
\(561\) | − | 0.755864i | − | 0.0319126i | ||||||
\(562\) | 9.23169 | − | 1.62780i | 0.389415 | − | 0.0686644i | ||||
\(563\) | −14.0675 | + | 24.3656i | −0.592873 | + | 1.02689i | 0.400970 | + | 0.916091i | \(0.368673\pi\) |
−0.993843 | + | 0.110795i | \(0.964660\pi\) | |||||||
\(564\) | −3.97018 | − | 3.33138i | −0.167175 | − | 0.140276i | ||||
\(565\) | −20.3878 | + | 8.31715i | −0.857723 | + | 0.349905i | ||||
\(566\) | 5.47613 | − | 9.48493i | 0.230179 | − | 0.398681i | ||||
\(567\) | 0.0579934 | + | 0.159336i | 0.00243549 | + | 0.00669146i | ||||
\(568\) | 8.31645 | − | 6.97833i | 0.348951 | − | 0.292804i | ||||
\(569\) | 31.5420 | − | 18.2108i | 1.32231 | − | 0.763437i | 0.338214 | − | 0.941069i | \(-0.390177\pi\) |
0.984097 | + | 0.177633i | \(0.0568439\pi\) | |||||||
\(570\) | −3.75972 | − | 1.20763i | −0.157477 | − | 0.0505822i | ||||
\(571\) | −2.64393 | + | 14.9945i | −0.110645 | + | 0.627499i | 0.878170 | + | 0.478349i | \(0.158765\pi\) |
−0.988815 | + | 0.149150i | \(0.952346\pi\) | |||||||
\(572\) | 1.03188 | + | 0.865846i | 0.0431449 | + | 0.0362028i | ||||
\(573\) | −3.28672 | − | 1.19627i | −0.137305 | − | 0.0499748i | ||||
\(574\) | −0.612312 | + | 1.68231i | −0.0255574 | + | 0.0702185i | ||||
\(575\) | −13.1328 | − | 19.1902i | −0.547674 | − | 0.800288i | ||||
\(576\) | 0.326018 | − | 1.84894i | 0.0135841 | − | 0.0770392i | ||||
\(577\) | 4.51304 | − | 25.5947i | 0.187880 | − | 1.06552i | −0.734318 | − | 0.678805i | \(-0.762498\pi\) |
0.922199 | − | 0.386716i | \(-0.126391\pi\) | |||||||
\(578\) | 8.16573 | + | 14.1435i | 0.339649 | + | 0.588290i | ||||
\(579\) | 7.45731 | + | 8.88728i | 0.309915 | + | 0.369343i | ||||
\(580\) | −4.64801 | + | 1.00433i | −0.192998 | + | 0.0417024i | ||||
\(581\) | −2.19020 | + | 3.79354i | −0.0908648 | + | 0.157382i | ||||
\(582\) | 10.1283 | − | 5.84758i | 0.419831 | − | 0.242390i | ||||
\(583\) | −2.79665 | + | 3.33292i | −0.115825 | + | 0.138035i | ||||
\(584\) | −9.12606 | − | 5.26893i | −0.377639 | − | 0.218030i | ||||
\(585\) | −6.47642 | + | 0.247987i | −0.267767 | + | 0.0102530i | ||||
\(586\) | − | 3.63890i | − | 0.150322i | ||||||
\(587\) | 7.24062 | + | 41.0636i | 0.298852 | + | 1.69488i | 0.651119 | + | 0.758976i | \(0.274300\pi\) |
−0.352267 | + | 0.935900i | \(0.614589\pi\) | |||||||
\(588\) | 3.97547 | + | 4.73777i | 0.163945 | + | 0.195383i | ||||
\(589\) | 3.41963 | + | 1.24464i | 0.140903 | + | 0.0512847i | ||||
\(590\) | 24.0332 | − | 5.19301i | 0.989431 | − | 0.213793i | ||||
\(591\) | −20.1026 | −0.826910 | ||||||||
\(592\) | 4.43910 | − | 4.15865i | 0.182446 | − | 0.170919i | ||||
\(593\) | − | 28.6164i | − | 1.17514i | −0.809175 | − | 0.587568i | \(-0.800085\pi\) | ||
0.809175 | − | 0.587568i | \(-0.199915\pi\) | |||||||
\(594\) | 1.54214 | + | 4.23698i | 0.0632746 | + | 0.173846i | ||||
\(595\) | 1.74371 | + | 0.919632i | 0.0714851 | + | 0.0377012i | ||||
\(596\) | 1.97595 | − | 1.65802i | 0.0809381 | − | 0.0679152i | ||||
\(597\) | −1.67431 | − | 9.49548i | −0.0685249 | − | 0.388624i | ||||
\(598\) | −7.17990 | −0.293608 | ||||||||
\(599\) | −4.18335 | − | 23.7249i | −0.170927 | − | 0.969375i | −0.942741 | − | 0.333526i | \(-0.891761\pi\) |
0.771814 | − | 0.635849i | \(-0.219350\pi\) | |||||||
\(600\) | 3.70551 | + | 3.78584i | 0.151277 | + | 0.154556i | ||||
\(601\) | 3.35161 | + | 2.81234i | 0.136715 | + | 0.114718i | 0.708581 | − | 0.705630i | \(-0.249336\pi\) |
−0.571866 | + | 0.820347i | \(0.693780\pi\) | |||||||
\(602\) | −1.98869 | + | 1.14817i | −0.0810529 | + | 0.0467959i | ||||
\(603\) | 9.50868 | + | 5.48984i | 0.387223 | + | 0.223563i | ||||
\(604\) | 20.9296 | − | 7.61777i | 0.851615 | − | 0.309962i | ||||
\(605\) | 12.1975 | + | 19.3746i | 0.495898 | + | 0.787691i | ||||
\(606\) | −2.36373 | + | 1.36470i | −0.0960199 | + | 0.0554371i | ||||
\(607\) | −4.77849 | + | 27.1002i | −0.193953 | + | 1.09996i | 0.719949 | + | 0.694027i | \(0.244165\pi\) |
−0.913902 | + | 0.405935i | \(0.866946\pi\) | |||||||
\(608\) | −1.64151 | − | 0.289442i | −0.0665720 | − | 0.0117384i | ||||
\(609\) | −1.56161 | + | 1.86105i | −0.0632795 | + | 0.0754136i | ||||
\(610\) | −3.76109 | − | 1.98360i | −0.152282 | − | 0.0803135i | ||||
\(611\) | −2.58288 | + | 7.09640i | −0.104492 | + | 0.287090i | ||||
\(612\) | 1.17596 | + | 0.986746i | 0.0475353 | + | 0.0398869i | ||||
\(613\) | 17.8488 | + | 3.14722i | 0.720906 | + | 0.127115i | 0.522052 | − | 0.852914i | \(-0.325167\pi\) |
0.198854 | + | 0.980029i | \(0.436278\pi\) | |||||||
\(614\) | 0.833291 | + | 0.146932i | 0.0336289 | + | 0.00592968i | ||||
\(615\) | −1.48583 | − | 3.64222i | −0.0599144 | − | 0.146868i | ||||
\(616\) | 0.604724 | + | 0.720682i | 0.0243650 | + | 0.0290371i | ||||
\(617\) | −3.72701 | − | 10.2399i | −0.150044 | − | 0.412242i | 0.841786 | − | 0.539812i | \(-0.181505\pi\) |
−0.991830 | + | 0.127570i | \(0.959282\pi\) | |||||||
\(618\) | −4.62165 | − | 2.66831i | −0.185910 | − | 0.107335i | ||||
\(619\) | −1.39499 | − | 2.41619i | −0.0560692 | − | 0.0971148i | 0.836628 | − | 0.547771i | \(-0.184523\pi\) |
−0.892698 | + | 0.450656i | \(0.851190\pi\) | |||||||
\(620\) | −3.27880 | − | 3.61692i | −0.131680 | − | 0.145259i | ||||
\(621\) | −20.8136 | − | 12.0167i | −0.835220 | − | 0.482215i | ||||
\(622\) | 12.8692 | − | 2.26918i | 0.516007 | − | 0.0909860i | ||||
\(623\) | −16.5183 | −0.661792 | ||||||||
\(624\) | 1.61083 | − | 0.284032i | 0.0644846 | − | 0.0113704i | ||||
\(625\) | 24.7076 | − | 3.81228i | 0.988305 | − | 0.152491i | ||||
\(626\) | 5.48470 | + | 1.99627i | 0.219213 | + | 0.0797869i | ||||
\(627\) | 1.44795 | − | 0.527012i | 0.0578257 | − | 0.0210468i | ||||
\(628\) | 6.42548i | 0.256404i | ||||||||
\(629\) | 1.12995 | + | 4.84350i | 0.0450539 | + | 0.193123i | ||||
\(630\) | −4.48462 | − | 0.614888i | −0.178671 | − | 0.0244977i | ||||
\(631\) | 5.08822 | + | 13.9798i | 0.202559 | + | 0.556525i | 0.998827 | − | 0.0484180i | \(-0.0154180\pi\) |
−0.796268 | + | 0.604943i | \(0.793196\pi\) | |||||||
\(632\) | 1.69027 | − | 4.64398i | 0.0672354 | − | 0.184728i | ||||
\(633\) | −10.2520 | − | 12.2178i | −0.407479 | − | 0.485615i | ||||
\(634\) | −18.3987 | + | 3.24419i | −0.730707 | + | 0.128843i | ||||
\(635\) | −39.3698 | − | 5.39801i | −1.56234 | − | 0.214214i | ||||
\(636\) | 0.917413 | + | 5.20291i | 0.0363778 | + | 0.206309i | ||||
\(637\) | 4.50595 | − | 7.80454i | 0.178532 | − | 0.309227i | ||||
\(638\) | 1.19271 | − | 1.42142i | 0.0472199 | − | 0.0562744i | ||||
\(639\) | −10.1912 | − | 17.6517i | −0.403158 | − | 0.698290i | ||||
\(640\) | 1.76667 | + | 1.37072i | 0.0698337 | + | 0.0541826i | ||||
\(641\) | −21.3389 | + | 7.76672i | −0.842835 | + | 0.306767i | −0.727116 | − | 0.686515i | \(-0.759140\pi\) |
−0.115720 | + | 0.993282i | \(0.536917\pi\) | |||||||
\(642\) | 1.99024 | − | 1.67001i | 0.0785486 | − | 0.0659101i | ||||
\(643\) | 14.1824 | + | 24.5646i | 0.559298 | + | 0.968733i | 0.997555 | + | 0.0698834i | \(0.0222627\pi\) |
−0.438257 | + | 0.898850i | \(0.644404\pi\) | |||||||
\(644\) | −4.93840 | − | 0.870774i | −0.194600 | − | 0.0343133i | ||||
\(645\) | 1.54300 | − | 4.80382i | 0.0607556 | − | 0.189150i | ||||
\(646\) | 0.876044 | − | 1.04403i | 0.0344675 | − | 0.0410768i | ||||
\(647\) | −7.84861 | − | 2.85666i | −0.308561 | − | 0.112307i | 0.183099 | − | 0.983095i | \(-0.441387\pi\) |
−0.491659 | + | 0.870788i | \(0.663609\pi\) | |||||||
\(648\) | −0.147774 | − | 0.0537855i | −0.00580513 | − | 0.00211289i | ||||
\(649\) | −6.16708 | + | 7.34964i | −0.242079 | + | 0.288498i | ||||
\(650\) | 3.33706 | − | 6.96050i | 0.130890 | − | 0.273013i | ||||
\(651\) | −2.45622 | − | 0.433097i | −0.0962667 | − | 0.0169744i | ||||
\(652\) | 1.51480 | + | 2.62371i | 0.0593242 | + | 0.102752i | ||||
\(653\) | −9.84771 | + | 8.26321i | −0.385371 | + | 0.323364i | −0.814807 | − | 0.579733i | \(-0.803157\pi\) |
0.429436 | + | 0.903097i | \(0.358712\pi\) | |||||||
\(654\) | −9.07056 | + | 3.30141i | −0.354687 | + | 0.129095i | ||||
\(655\) | −9.50016 | + | 12.2444i | −0.371202 | + | 0.478427i | ||||
\(656\) | −0.830191 | − | 1.43793i | −0.0324135 | − | 0.0561419i | ||||
\(657\) | −12.7172 | + | 15.1558i | −0.496145 | + | 0.591283i | ||||
\(658\) | −2.63718 | + | 4.56772i | −0.102808 | + | 0.178068i | ||||
\(659\) | 3.18898 | + | 18.0856i | 0.124225 | + | 0.704515i | 0.981765 | + | 0.190098i | \(0.0608805\pi\) |
−0.857540 | + | 0.514417i | \(0.828008\pi\) | |||||||
\(660\) | −2.04794 | − | 0.280794i | −0.0797160 | − | 0.0109299i | ||||
\(661\) | −0.545303 | + | 0.0961516i | −0.0212098 | + | 0.00373987i | −0.184243 | − | 0.982881i | \(-0.558983\pi\) |
0.163033 | + | 0.986621i | \(0.447872\pi\) | |||||||
\(662\) | −4.93694 | − | 5.88362i | −0.191880 | − | 0.228673i | ||||
\(663\) | −0.457420 | + | 1.25675i | −0.0177647 | + | 0.0488082i | ||||
\(664\) | −1.38948 | − | 3.81756i | −0.0539223 | − | 0.148150i | ||||
\(665\) | −0.545904 | + | 3.98149i | −0.0211693 | + | 0.154396i | ||||
\(666\) | −6.24187 | − | 9.56343i | −0.241868 | − | 0.370575i | ||||
\(667\) | 9.89037i | 0.382957i | ||||||||
\(668\) | 0.265056 | − | 0.0964724i | 0.0102553 | − | 0.00373263i | ||||
\(669\) | −21.6428 | − | 7.87735i | −0.836760 | − | 0.304556i | ||||
\(670\) | −11.0664 | + | 6.96696i | −0.427533 | + | 0.269157i | ||||
\(671\) | 1.63398 | − | 0.288115i | 0.0630792 | − | 0.0111226i | ||||
\(672\) | 1.14239 | 0.0440686 | ||||||||
\(673\) | 34.0710 | − | 6.00764i | 1.31334 | − | 0.231577i | 0.527261 | − | 0.849703i | \(-0.323219\pi\) |
0.786079 | + | 0.618126i | \(0.212108\pi\) | |||||||
\(674\) | 13.9180 | + | 8.03556i | 0.536101 | + | 0.309518i | ||||
\(675\) | 21.3232 | − | 14.5925i | 0.820730 | − | 0.561664i | ||||
\(676\) | 5.30831 | + | 9.19426i | 0.204166 | + | 0.353625i | ||||
\(677\) | −25.8495 | − | 14.9242i | −0.993477 | − | 0.573584i | −0.0871652 | − | 0.996194i | \(-0.527781\pi\) |
−0.906312 | + | 0.422610i | \(0.861114\pi\) | |||||||
\(678\) | −3.56834 | − | 9.80392i | −0.137041 | − | 0.376517i | ||||
\(679\) | −7.65044 | − | 9.11744i | −0.293597 | − | 0.349895i | ||||
\(680\) | −1.69287 | + | 0.690601i | −0.0649187 | + | 0.0264833i | ||||
\(681\) | 13.2455 | + | 2.33554i | 0.507568 | + | 0.0894979i | ||||
\(682\) | 1.87599 | + | 0.330787i | 0.0718352 | + | 0.0126665i | ||||
\(683\) | 23.6104 | + | 19.8115i | 0.903428 | + | 0.758066i | 0.970857 | − | 0.239658i | \(-0.0770352\pi\) |
−0.0674291 | + | 0.997724i | \(0.521480\pi\) | |||||||
\(684\) | −1.07032 | + | 2.94069i | −0.0409248 | + | 0.112440i | ||||
\(685\) | 12.6467 | + | 6.66988i | 0.483206 | + | 0.254843i | ||||
\(686\) | 8.89730 | − | 10.6034i | 0.339700 | − | 0.404839i | ||||
\(687\) | −10.5040 | − | 1.85214i | −0.400753 | − | 0.0706635i | ||||
\(688\) | 0.369822 | − | 2.09737i | 0.0140993 | − | 0.0799614i | ||||
\(689\) | 6.66686 | − | 3.84912i | 0.253987 | − | 0.146640i | ||||
\(690\) | 9.32419 | − | 5.87012i | 0.354966 | − | 0.223472i | ||||
\(691\) | 16.7698 | − | 6.10370i | 0.637952 | − | 0.232196i | −0.00273673 | − | 0.999996i | \(-0.500871\pi\) |
0.640689 | + | 0.767801i | \(0.278649\pi\) | |||||||
\(692\) | 14.6931 | + | 8.48304i | 0.558546 | + | 0.322477i | ||||
\(693\) | 1.52965 | − | 0.883144i | 0.0581066 | − | 0.0335479i | ||||
\(694\) | −15.4400 | − | 12.9557i | −0.586093 | − | 0.491791i | ||||
\(695\) | 15.4457 | + | 11.9840i | 0.585888 | + | 0.454579i | ||||
\(696\) | −0.391256 | − | 2.21892i | −0.0148305 | − | 0.0841081i | ||||
\(697\) | 1.35761 | 0.0514231 | ||||||||
\(698\) | −0.0949475 | − | 0.538474i | −0.00359382 | − | 0.0203815i | ||||
\(699\) | −6.22378 | + | 5.22237i | −0.235405 | + | 0.197528i | ||||
\(700\) | 3.13942 | − | 4.38278i | 0.118659 | − | 0.165654i | ||||
\(701\) | −3.08447 | − | 8.47452i | −0.116499 | − | 0.320078i | 0.867715 | − | 0.497063i | \(-0.165588\pi\) |
−0.984214 | + | 0.176984i | \(0.943366\pi\) | |||||||
\(702\) | − | 7.97794i | − | 0.301108i | ||||||
\(703\) | −8.49052 | + | 5.54160i | −0.320226 | + | 0.209005i | ||||
\(704\) | −0.872522 | −0.0328844 | ||||||||
\(705\) | −2.44760 | − | 11.3275i | −0.0921819 | − | 0.426617i | ||||
\(706\) | −11.5611 | − | 4.20791i | −0.435109 | − | 0.158367i | ||||
\(707\) | 1.78545 | + | 2.12781i | 0.0671487 | + | 0.0800247i | ||||
\(708\) | 2.02305 | + | 11.4733i | 0.0760307 | + | 0.431192i | ||||
\(709\) | 34.7424i | 1.30478i | 0.757884 | + | 0.652389i | \(0.226233\pi\) | ||||
−0.757884 | + | 0.652389i | \(0.773767\pi\) | |||||||
\(710\) | 24.2578 | − | 0.928849i | 0.910378 | − | 0.0348591i | ||||
\(711\) | −8.03539 | − | 4.63924i | −0.301351 | − | 0.173985i | ||||
\(712\) | 9.84736 | − | 11.7356i | 0.369045 | − | 0.439811i | ||||
\(713\) | −8.79334 | + | 5.07684i | −0.329313 | + | 0.190129i | ||||
\(714\) | −0.467036 | + | 0.808930i | −0.0174784 | + | 0.0302734i | ||||
\(715\) | 0.636147 | + | 2.94408i | 0.0237905 | + | 0.110102i | ||||
\(716\) | −9.24141 | − | 11.0135i | −0.345368 | − | 0.411593i | ||||
\(717\) | 3.49282 | + | 6.04974i | 0.130442 | + | 0.225932i | ||||
\(718\) | −4.61695 | + | 26.1840i | −0.172303 | + | 0.977179i | ||||
\(719\) | −7.62793 | + | 43.2601i | −0.284474 | + | 1.61333i | 0.422686 | + | 0.906276i | \(0.361087\pi\) |
−0.707160 | + | 0.707054i | \(0.750024\pi\) | |||||||
\(720\) | 3.11035 | − | 2.81958i | 0.115916 | − | 0.105080i | ||||
\(721\) | −1.85751 | + | 5.10346i | −0.0691772 | + | 0.190063i | ||||
\(722\) | −15.2434 | − | 5.54814i | −0.567300 | − | 0.206480i | ||||
\(723\) | 21.8898 | + | 18.3677i | 0.814091 | + | 0.683103i | ||||
\(724\) | 2.68160 | − | 15.2081i | 0.0996608 | − | 0.565204i | ||||
\(725\) | −9.58815 | − | 4.59682i | −0.356095 | − | 0.170722i | ||||
\(726\) | −9.39455 | + | 5.42395i | −0.348664 | + | 0.201301i | ||||
\(727\) | −16.3714 | + | 13.7372i | −0.607180 | + | 0.509484i | −0.893744 | − | 0.448577i | \(-0.851931\pi\) |
0.286565 | + | 0.958061i | \(0.407487\pi\) | |||||||
\(728\) | −0.569327 | − | 1.56421i | −0.0211007 | − | 0.0579736i | ||||
\(729\) | 8.06507 | − | 13.9691i | 0.298706 | − | 0.517375i | ||||
\(730\) | −8.90048 | − | 21.8178i | −0.329421 | − | 0.807511i | ||||
\(731\) | 1.33396 | + | 1.11933i | 0.0493384 | + | 0.0413998i | ||||
\(732\) | 1.00737 | − | 1.74482i | 0.0372335 | − | 0.0644904i | ||||
\(733\) | 49.0798 | − | 8.65409i | 1.81280 | − | 0.319646i | 0.838503 | − | 0.544897i | \(-0.183431\pi\) |
0.974301 | + | 0.225251i | \(0.0723201\pi\) | |||||||
\(734\) | − | 9.82550i | − | 0.362666i | ||||||
\(735\) | 0.529153 | + | 13.8193i | 0.0195181 | + | 0.509734i | ||||
\(736\) | 3.56267 | − | 2.98944i | 0.131322 | − | 0.110192i | ||||
\(737\) | 1.74520 | − | 4.79491i | 0.0642854 | − | 0.176623i | ||||
\(738\) | −2.92931 | + | 1.06618i | −0.107829 | + | 0.0392467i | ||||
\(739\) | −28.3679 | −1.04353 | −0.521765 | − | 0.853089i | \(-0.674726\pi\) | ||||
−0.521765 | + | 0.853089i | \(0.674726\pi\) | |||||||
\(740\) | 13.5428 | − | 1.26218i | 0.497843 | − | 0.0463987i | ||||
\(741\) | −2.72640 | −0.100157 | ||||||||
\(742\) | 5.05235 | − | 1.83890i | 0.185478 | − | 0.0675083i | ||||
\(743\) | 14.5077 | − | 39.8595i | 0.532235 | − | 1.46230i | −0.324170 | − | 0.945999i | \(-0.605085\pi\) |
0.856405 | − | 0.516305i | \(-0.172693\pi\) | |||||||
\(744\) | 1.77197 | − | 1.48686i | 0.0649635 | − | 0.0545108i | ||||
\(745\) | 5.76354 | − | 0.220690i | 0.211160 | − | 0.00808547i | ||||
\(746\) | 26.2336i | 0.960479i | ||||||||
\(747\) | −7.51144 | + | 1.32447i | −0.274829 | + | 0.0484598i | ||||
\(748\) | 0.356708 | − | 0.617837i | 0.0130425 | − | 0.0225904i | ||||
\(749\) | −2.02544 | − | 1.69954i | −0.0740079 | − | 0.0621000i | ||||
\(750\) | 1.35708 | + | 11.7676i | 0.0495534 | + | 0.429690i | ||||
\(751\) | 13.4911 | − | 23.3673i | 0.492297 | − | 0.852683i | −0.507664 | − | 0.861555i | \(-0.669491\pi\) |
0.999961 | + | 0.00887216i | \(0.00282413\pi\) | |||||||
\(752\) | −1.67304 | − | 4.59665i | −0.0610097 | − | 0.167623i | ||||
\(753\) | 4.20949 | − | 3.53218i | 0.153402 | − | 0.128720i | ||||
\(754\) | −2.84327 | + | 1.64156i | −0.103546 | + | 0.0597822i | ||||
\(755\) | 47.4176 | + | 15.2307i | 1.72570 | + | 0.554301i | ||||
\(756\) | 0.967560 | − | 5.48730i | 0.0351898 | − | 0.199571i | ||||
\(757\) | −26.1873 | − | 21.9738i | −0.951795 | − | 0.798651i | 0.0278040 | − | 0.999613i | \(-0.491149\pi\) |
−0.979599 | + | 0.200963i | \(0.935593\pi\) | |||||||
\(758\) | 4.69149 | + | 1.70756i | 0.170403 | + | 0.0620215i | ||||
\(759\) | −1.47045 | + | 4.04003i | −0.0533740 | + | 0.146644i | ||||
\(760\) | −2.50326 | − | 2.76140i | −0.0908027 | − | 0.100167i | ||||
\(761\) | −2.73193 | + | 15.4935i | −0.0990322 | + | 0.561640i | 0.894405 | + | 0.447259i | \(0.147600\pi\) |
−0.993437 | + | 0.114381i | \(0.963511\pi\) | |||||||
\(762\) | 3.26959 | − | 18.5428i | 0.118445 | − | 0.671733i | ||||
\(763\) | 4.91169 | + | 8.50730i | 0.177815 | + | 0.307985i | ||||
\(764\) | −2.12199 | − | 2.52889i | −0.0767710 | − | 0.0914922i | ||||
\(765\) | 0.724973 | + | 3.35517i | 0.0262115 | + | 0.121306i | ||||
\(766\) | −16.1871 | + | 28.0369i | −0.584864 | + | 1.01301i | ||||
\(767\) | 14.7015 | − | 8.48793i | 0.530841 | − | 0.306481i | ||||
\(768\) | −0.681032 | + | 0.811623i | −0.0245746 | + | 0.0292869i | ||||
\(769\) | −20.7470 | − | 11.9783i | −0.748157 | − | 0.431949i | 0.0768704 | − | 0.997041i | \(-0.475507\pi\) |
−0.825028 | + | 0.565092i | \(0.808841\pi\) | |||||||
\(770\) | 0.0804917 | + | 2.10212i | 0.00290072 | + | 0.0757550i | ||||
\(771\) | − | 22.3775i | − | 0.805906i | ||||||
\(772\) | 1.90145 | + | 10.7837i | 0.0684346 | + | 0.388112i | ||||
\(773\) | −26.1595 | − | 31.1757i | −0.940892 | − | 1.12131i | −0.992451 | − | 0.122642i | \(-0.960863\pi\) |
0.0515586 | − | 0.998670i | \(-0.483581\pi\) | |||||||
\(774\) | −3.75734 | − | 1.36756i | −0.135055 | − | 0.0491559i | ||||
\(775\) | −0.834756 | − | 10.8842i | −0.0299853 | − | 0.390973i | ||||
\(776\) | 11.0384 | 0.396255 | ||||||||
\(777\) | 5.07118 | − | 4.75079i | 0.181927 | − | 0.170434i | ||||
\(778\) | − | 19.1762i | − | 0.687500i | ||||||
\(779\) | 0.946568 | + | 2.60067i | 0.0339143 | + | 0.0931788i | ||||
\(780\) | 3.23512 | + | 1.70620i | 0.115836 | + | 0.0610919i | ||||
\(781\) | −7.25629 | + | 6.08875i | −0.259650 | + | 0.217873i | ||||
\(782\) | 0.660327 | + | 3.74490i | 0.0236132 | + | 0.133917i | ||||
\(783\) | −10.9897 | −0.392739 | ||||||||
\(784\) | 1.01366 | + | 5.74873i | 0.0362020 | + | 0.205312i | ||||
\(785\) | −8.80755 | + | 11.3517i | −0.314355 | + | 0.405159i | ||||
\(786\) | −5.62517 | − | 4.72007i | −0.200643 | − | 0.168359i | ||||
\(787\) | −28.3359 | + | 16.3598i | −1.01007 | + | 0.583162i | −0.911211 | − | 0.411940i | \(-0.864851\pi\) |
−0.0988555 | + | 0.995102i | \(0.531518\pi\) | |||||||
\(788\) | −16.4317 | − | 9.48684i | −0.585355 | − | 0.337955i | ||||
\(789\) | −30.1604 | + | 10.9775i | −1.07374 | + | 0.390809i | ||||
\(790\) | 9.35177 | − | 5.88749i | 0.332721 | − | 0.209467i | ||||
\(791\) | −9.19512 | + | 5.30881i | −0.326941 | + | 0.188759i | ||||
\(792\) | −0.284458 | + | 1.61324i | −0.0101078 | + | 0.0573241i | ||||
\(793\) | −2.89113 | − | 0.509784i | −0.102667 | − | 0.0181030i | ||||
\(794\) | −21.3490 | + | 25.4428i | −0.757649 | + | 0.902931i | ||||
\(795\) | −5.51098 | + | 10.4493i | −0.195454 | + | 0.370600i | ||||
\(796\) | 3.11255 | − | 8.55167i | 0.110322 | − | 0.303106i | ||||
\(797\) | 12.3686 | + | 10.3785i | 0.438118 | + | 0.367625i | 0.835005 | − | 0.550243i | \(-0.185465\pi\) |
−0.396886 | + | 0.917868i | \(0.629909\pi\) | |||||||
\(798\) | −1.87524 | − | 0.330656i | −0.0663828 | − | 0.0117051i | ||||
\(799\) | 3.93889 | + | 0.694533i | 0.139348 | + | 0.0245708i | ||||
\(800\) | 1.24224 | + | 4.84323i | 0.0439197 | + | 0.171234i | ||||
\(801\) | −18.4881 | − | 22.0332i | −0.653243 | − | 0.778505i | ||||
\(802\) | 2.31990 | + | 6.37388i | 0.0819186 | + | 0.225070i | ||||
\(803\) | 7.96269 | + | 4.59726i | 0.280997 | + | 0.162234i | ||||
\(804\) | −3.09805 | − | 5.36598i | −0.109260 | − | 0.189243i | ||||
\(805\) | −7.53094 | − | 8.30755i | −0.265431 | − | 0.292803i | ||||
\(806\) | −2.91896 | − | 1.68526i | −0.102816 | − | 0.0593609i | ||||
\(807\) | −9.48918 | + | 1.67320i | −0.334035 | + | 0.0588994i | ||||
\(808\) | −2.57612 | −0.0906277 | ||||||||
\(809\) | −3.01409 | + | 0.531466i | −0.105970 | + | 0.0186853i | −0.226382 | − | 0.974039i | \(-0.572690\pi\) |
0.120412 | + | 0.992724i | \(0.461579\pi\) | |||||||
\(810\) | −0.187343 | − | 0.297579i | −0.00658258 | − | 0.0104559i | ||||
\(811\) | 16.3747 | + | 5.95991i | 0.574994 | + | 0.209281i | 0.613117 | − | 0.789992i | \(-0.289916\pi\) |
−0.0381226 | + | 0.999273i | \(0.512138\pi\) | |||||||
\(812\) | −2.15472 | + | 0.784252i | −0.0756157 | + | 0.0275219i | ||||
\(813\) | 14.4517i | 0.506844i | ||||||||
\(814\) | −3.87322 | + | 3.62852i | −0.135756 | + | 0.127179i | ||||
\(815\) | −0.920231 | + | 6.71160i | −0.0322343 | + | 0.235097i | ||||
\(816\) | −0.296291 | − | 0.814053i | −0.0103723 | − | 0.0284976i | ||||
\(817\) | −1.21413 | + | 3.33581i | −0.0424772 | + | 0.116705i | ||||
\(818\) | 7.43101 | + | 8.85593i | 0.259819 | + | 0.309640i | ||||
\(819\) | −3.07775 | + | 0.542690i | −0.107545 | + | 0.0189631i | ||||
\(820\) | 0.504335 | − | 3.67831i | 0.0176122 | − | 0.128452i | ||||
\(821\) | −0.251379 | − | 1.42564i | −0.00877319 | − | 0.0497553i | 0.980107 | − | 0.198470i | \(-0.0635974\pi\) |
−0.988880 | + | 0.148715i | \(0.952486\pi\) | |||||||
\(822\) | −3.38730 | + | 5.86698i | −0.118146 | + | 0.204634i | ||||
\(823\) | 11.0717 | − | 13.1948i | 0.385936 | − | 0.459941i | −0.537742 | − | 0.843109i | \(-0.680723\pi\) |
0.923679 | + | 0.383168i | \(0.125167\pi\) | |||||||
\(824\) | −2.51846 | − | 4.36211i | −0.0877348 | − | 0.151961i | ||||
\(825\) | −3.23314 | − | 3.30323i | −0.112564 | − | 0.115004i | ||||
\(826\) | 11.1413 | − | 4.05509i | 0.387654 | − | 0.141095i | ||||
\(827\) | −3.68473 | + | 3.09185i | −0.128131 | + | 0.107514i | −0.704601 | − | 0.709604i | \(-0.748874\pi\) |
0.576470 | + | 0.817118i | \(0.304430\pi\) | |||||||
\(828\) | −4.36580 | − | 7.56178i | −0.151722 | − | 0.262790i | ||||
\(829\) | −15.9631 | − | 2.81473i | −0.554423 | − | 0.0977596i | −0.110585 | − | 0.993867i | \(-0.535272\pi\) |
−0.443838 | + | 0.896107i | \(0.646383\pi\) | |||||||
\(830\) | 2.77807 | − | 8.64896i | 0.0964283 | − | 0.300210i | ||||
\(831\) | −16.3684 | + | 19.5071i | −0.567813 | + | 0.676693i | ||||
\(832\) | 1.45072 | + | 0.528018i | 0.0502945 | + | 0.0183057i | ||||
\(833\) | −4.48511 | − | 1.63244i | −0.155400 | − | 0.0565609i | ||||
\(834\) | −5.95415 | + | 7.09587i | −0.206175 | + | 0.245710i | ||||
\(835\) | 0.600503 | + | 0.192883i | 0.0207812 | + | 0.00667500i | ||||
\(836\) | 1.43225 | + | 0.252545i | 0.0495355 | + | 0.00873445i | ||||
\(837\) | −5.64113 | − | 9.77072i | −0.194986 | − | 0.337725i | ||||
\(838\) | −13.0900 | + | 10.9838i | −0.452186 | + | 0.379429i | ||||
\(839\) | −30.5392 | + | 11.1153i | −1.05433 | + | 0.383744i | −0.810295 | − | 0.586022i | \(-0.800693\pi\) |
−0.244034 | + | 0.969767i | \(0.578471\pi\) | |||||||
\(840\) | 2.01822 | + | 1.56590i | 0.0696352 | + | 0.0540286i | ||||
\(841\) | −12.2387 | − | 21.1981i | −0.422025 | − | 0.730969i | ||||
\(842\) | −1.45256 | + | 1.73109i | −0.0500585 | + | 0.0596575i | ||||
\(843\) | −4.96592 | + | 8.60123i | −0.171035 | + | 0.296242i | ||||
\(844\) | −2.61403 | − | 14.8249i | −0.0899785 | − | 0.510293i | ||||
\(845\) | −3.22476 | + | 23.5194i | −0.110935 | + | 0.809093i | ||||
\(846\) | −9.04438 | + | 1.59477i | −0.310952 | + | 0.0548293i | ||||
\(847\) | 7.09620 | + | 8.45692i | 0.243828 | + | 0.290583i | ||||
\(848\) | −1.70548 | + | 4.68576i | −0.0585663 | + | 0.160910i | ||||
\(849\) | 3.96877 | + | 10.9041i | 0.136208 | + | 0.374228i | ||||
\(850\) | −3.93737 | − | 1.10039i | −0.135051 | − | 0.0377432i | ||||
\(851\) | 3.38304 | − | 28.0863i | 0.115969 | − | 0.962787i | ||||
\(852\) | 11.5023i | 0.394062i | ||||||||
\(853\) | −24.4129 | + | 8.88557i | −0.835881 | + | 0.304236i | −0.724270 | − | 0.689516i | \(-0.757823\pi\) |
−0.111611 | + | 0.993752i | \(0.535601\pi\) | |||||||
\(854\) | −1.92672 | − | 0.701269i | −0.0659310 | − | 0.0239969i | ||||
\(855\) | −5.92178 | + | 3.72811i | −0.202521 | + | 0.127499i | ||||
\(856\) | 2.41492 | − | 0.425816i | 0.0825403 | − | 0.0145541i | ||||
\(857\) | −34.7901 | −1.18841 | −0.594204 | − | 0.804314i | \(-0.702533\pi\) | ||||
−0.594204 | + | 0.804314i | \(0.702533\pi\) | |||||||
\(858\) | −1.40548 | + | 0.247824i | −0.0479823 | + | 0.00846058i | ||||
\(859\) | −46.6988 | − | 26.9616i | −1.59334 | − | 0.919917i | −0.992728 | − | 0.120379i | \(-0.961589\pi\) |
−0.600615 | − | 0.799538i | \(-0.705078\pi\) | |||||||
\(860\) | 3.52826 | − | 3.19843i | 0.120313 | − | 0.109066i | ||||
\(861\) | −0.948400 | − | 1.64268i | −0.0323214 | − | 0.0559823i | ||||
\(862\) | 12.4755 | + | 7.20271i | 0.424916 | + | 0.245325i | ||||
\(863\) | −17.7620 | − | 48.8008i | −0.604627 | − | 1.66120i | −0.741776 | − | 0.670648i | \(-0.766016\pi\) |
0.137149 | − | 0.990550i | \(-0.456206\pi\) | |||||||
\(864\) | 3.32171 | + | 3.95866i | 0.113007 | + | 0.134676i | ||||
\(865\) | 14.3299 | + | 35.1268i | 0.487230 | + | 1.19435i | ||||
\(866\) | −9.92854 | − | 1.75067i | −0.337385 | − | 0.0594902i | ||||
\(867\) | −17.0403 | − | 3.00466i | −0.578718 | − | 0.102044i | ||||
\(868\) | −1.80330 | − | 1.51315i | −0.0612081 | − | 0.0513597i | ||||
\(869\) | −1.47480 | + | 4.05198i | −0.0500292 | + | 0.137454i | ||||
\(870\) | 2.35031 | − | 4.45641i | 0.0796830 | − | 0.151086i | ||||
\(871\) | −5.80340 | + | 6.91622i | −0.196641 | + | 0.234347i | ||||
\(872\) | −8.97221 | − | 1.58204i | −0.303837 | − | 0.0535747i | ||||
\(873\) | 3.59871 | − | 20.4093i | 0.121798 | − | 0.690751i | ||||
\(874\) | −6.71343 | + | 3.87600i | −0.227085 | + | 0.131108i | ||||
\(875\) | 11.5539 | − | 3.43964i | 0.390593 | − | 0.116281i | ||||
\(876\) | 10.4915 | − | 3.81860i | 0.354476 | − | 0.129019i | ||||
\(877\) | 3.13287 | + | 1.80876i | 0.105790 | + | 0.0610776i | 0.551961 | − | 0.833870i | \(-0.313880\pi\) |
−0.446172 | + | 0.894947i | \(0.647213\pi\) | |||||||
\(878\) | 8.05186 | − | 4.64874i | 0.271737 | − | 0.156887i | ||||
\(879\) | 2.95342 | + | 2.47821i | 0.0996163 | + | 0.0835880i | ||||
\(880\) | −1.54146 | − | 1.19599i | −0.0519625 | − | 0.0403167i | ||||
\(881\) | 8.69325 | + | 49.3019i | 0.292883 | + | 1.66102i | 0.675684 | + | 0.737191i | \(0.263848\pi\) |
−0.382801 | + | 0.923831i | \(0.625041\pi\) | |||||||
\(882\) | 10.9595 | 0.369026 | ||||||||
\(883\) | −2.65222 | − | 15.0415i | −0.0892542 | − | 0.506186i | −0.996357 | − | 0.0852772i | \(-0.972822\pi\) |
0.907103 | − | 0.420909i | \(-0.138289\pi\) | |||||||
\(884\) | −0.966979 | + | 0.811392i | −0.0325230 | + | 0.0272901i | ||||
\(885\) | −12.1526 | + | 23.0425i | −0.408506 | + | 0.774565i | ||||
\(886\) | −12.2221 | − | 33.5801i | −0.410611 | − | 1.12814i | ||||
\(887\) | 23.5038i | 0.789181i | 0.918857 | + | 0.394591i | \(0.129114\pi\) | ||||
−0.918857 | + | 0.394591i | \(0.870886\pi\) | |||||||
\(888\) | 0.352084 | + | 6.43505i | 0.0118152 | + | 0.215946i | ||||
\(889\) | −19.1618 | −0.642666 | ||||||||
\(890\) | 33.4833 | − | 7.23496i | 1.12236 | − | 0.242516i | ||||
\(891\) | 0.128937 | + | 0.0469291i | 0.00431954 | + | 0.00157218i | ||||
\(892\) | −13.9732 | − | 16.6526i | −0.467857 | − | 0.557570i | ||||
\(893\) | 1.41585 | + | 8.02970i | 0.0473797 | + | 0.268704i | ||||
\(894\) | 2.73289i | 0.0914016i | ||||||||
\(895\) | −1.23008 | − | 32.1246i | −0.0411169 | − | 1.07381i | ||||
\(896\) | 0.933779 | + | 0.539117i | 0.0311954 | + | 0.0180106i | ||||
\(897\) | 4.88975 | − | 5.82737i | 0.163264 | − | 0.194570i | ||||
\(898\) | −15.9644 | + | 9.21706i | −0.532739 | + | 0.307577i | ||||
\(899\) | −2.32147 | + | 4.02090i | −0.0774252 | + | 0.134104i | ||||
\(900\) | 9.35983 | − | 0.717843i | 0.311994 | − | 0.0239281i | ||||
\(901\) | −2.62077 | − | 3.12331i | −0.0873104 | − | 0.104052i | ||||
\(902\) | 0.724360 | + | 1.25463i | 0.0241186 | + | 0.0417746i | ||||
\(903\) | 0.422481 | − | 2.39601i | 0.0140593 | − | 0.0797341i | ||||
\(904\) | 1.70995 | − | 9.69762i | 0.0568722 | − | 0.322538i | ||||
\(905\) | 25.5836 | − | 23.1919i | 0.850427 | − | 0.770926i | ||||
\(906\) | −8.07101 | + | 22.1749i | −0.268141 | + | 0.736712i | ||||
\(907\) | −7.86850 | − | 2.86390i | −0.261269 | − | 0.0950942i | 0.208064 | − | 0.978115i | \(-0.433284\pi\) |
−0.469334 | + | 0.883021i | \(0.655506\pi\) | |||||||
\(908\) | 9.72456 | + | 8.15987i | 0.322721 | + | 0.270795i | ||||
\(909\) | −0.839862 | + | 4.76310i | −0.0278565 | + | 0.157982i | ||||
\(910\) | 1.13829 | − | 3.54384i | 0.0377340 | − | 0.117477i | ||||
\(911\) | 45.8295 | − | 26.4597i | 1.51840 | − | 0.876648i | 0.518633 | − | 0.854997i | \(-0.326441\pi\) |
0.999766 | − | 0.0216508i | \(-0.00689220\pi\) | |||||||
\(912\) | 1.35284 | − | 1.13517i | 0.0447970 | − | 0.0375891i | ||||
\(913\) | 1.21235 | + | 3.33091i | 0.0401230 | + | 0.110237i | ||||
\(914\) | −16.8623 | + | 29.2064i | −0.557756 | + | 0.966061i | ||||
\(915\) | 4.17136 | − | 1.70169i | 0.137901 | − | 0.0562561i | ||||
\(916\) | −7.71182 | − | 6.47099i | −0.254806 | − | 0.213807i | ||||
\(917\) | −3.73650 | + | 6.47180i | −0.123390 | + | 0.213718i | ||||
\(918\) | −4.16114 | + | 0.733721i | −0.137338 | + | 0.0242164i | ||||
\(919\) | 25.9125i | 0.854773i | 0.904069 | + | 0.427387i | \(0.140566\pi\) | ||||
−0.904069 | + | 0.427387i | \(0.859434\pi\) | |||||||
\(920\) | 10.3918 | − | 0.397908i | 0.342606 | − | 0.0131187i | ||||
\(921\) | −0.686752 | + | 0.576253i | −0.0226292 | + | 0.0189882i | ||||
\(922\) | −10.3999 | + | 28.5735i | −0.342503 | + | 0.941019i | ||||
\(923\) | 15.7495 | − | 5.73235i | 0.518401 | − | 0.188682i | ||||
\(924\) | −0.996759 | −0.0327910 | ||||||||
\(925\) | 25.6557 | + | 16.3335i | 0.843554 | + | 0.537044i | ||||
\(926\) | 33.3861 | 1.09713 | ||||||||
\(927\) | −8.88634 | + | 3.23436i | −0.291866 | + | 0.106230i | ||||
\(928\) | 0.727348 | − | 1.99837i | 0.0238764 | − | 0.0655998i | ||||
\(929\) | −6.55154 | + | 5.49740i | −0.214949 | + | 0.180364i | −0.743905 | − | 0.668286i | \(-0.767028\pi\) |
0.528955 | + | 0.848650i | \(0.322584\pi\) | |||||||
\(930\) | 5.16855 | − | 0.197908i | 0.169483 | − | 0.00648965i | ||||
\(931\) | − | 9.72999i | − | 0.318887i | ||||||
\(932\) | −7.55181 | + | 1.33159i | −0.247368 | + | 0.0436176i | ||||
\(933\) | −6.92261 | + | 11.9903i | −0.226636 | + | 0.392545i | ||||
\(934\) | −15.2332 | − | 12.7822i | −0.498445 | − | 0.418245i | ||||
\(935\) | 1.47707 | − | 0.602565i | 0.0483053 | − | 0.0197060i | ||||
\(936\) | 1.44923 | − | 2.51014i | 0.0473696 | − | 0.0820466i | ||||
\(937\) | 11.6912 | + | 32.1214i | 0.381936 | + | 1.04936i | 0.970540 | + | 0.240940i | \(0.0774556\pi\) |
−0.588604 | + | 0.808422i | \(0.700322\pi\) | |||||||
\(938\) | −4.83042 | + | 4.05321i | −0.157719 | + | 0.132342i | ||||
\(939\) | −5.35548 | + | 3.09199i | −0.174769 | + | 0.100903i | ||||
\(940\) | 3.34502 | − | 10.4140i | 0.109103 | − | 0.339669i | ||||
\(941\) | −5.69881 | + | 32.3196i | −0.185776 | + | 1.05359i | 0.739178 | + | 0.673510i | \(0.235214\pi\) |
−0.924954 | + | 0.380078i | \(0.875897\pi\) | |||||||
\(942\) | −5.21506 | − | 4.37596i | −0.169916 | − | 0.142576i | ||||
\(943\) | −7.25631 | − | 2.64108i | −0.236298 | − | 0.0860054i | ||||
\(944\) | −3.76086 | + | 10.3329i | −0.122405 | + | 0.336306i | ||||
\(945\) | 9.23093 | − | 8.36799i | 0.300282 | − | 0.272211i | ||||
\(946\) | −0.322678 | + | 1.83000i | −0.0104912 | + | 0.0594984i | ||||
\(947\) | 5.11925 | − | 29.0327i | 0.166353 | − | 0.943436i | −0.781305 | − | 0.624150i | \(-0.785446\pi\) |
0.947658 | − | 0.319287i | \(-0.103443\pi\) | |||||||
\(948\) | 2.61803 | + | 4.53457i | 0.0850298 | + | 0.147276i | ||||
\(949\) | −10.4572 | − | 12.4624i | −0.339456 | − | 0.404548i | ||||
\(950\) | −0.637309 | − | 8.30976i | −0.0206770 | − | 0.269604i | ||||
\(951\) | 9.89708 | − | 17.1422i | 0.320935 | − | 0.555875i | ||||
\(952\) | −0.763503 | + | 0.440809i | −0.0247453 | + | 0.0142867i | ||||
\(953\) | −13.1824 | + | 15.7102i | −0.427020 | + | 0.508902i | −0.936060 | − | 0.351841i | \(-0.885556\pi\) |
0.509040 | + | 0.860743i | \(0.330000\pi\) | |||||||
\(954\) | 8.10767 | + | 4.68097i | 0.262496 | + | 0.151552i | ||||
\(955\) | −0.282448 | − | 7.37638i | −0.00913979 | − | 0.238694i | ||||
\(956\) | 6.59335i | 0.213244i | ||||||||
\(957\) | 0.341380 | + | 1.93606i | 0.0110352 | + | 0.0625840i | ||||
\(958\) | −13.9321 | − | 16.6037i | −0.450127 | − | 0.536441i | ||||
\(959\) | 6.47862 | + | 2.35803i | 0.209206 | + | 0.0761446i | ||||
\(960\) | −2.31567 | + | 0.500362i | −0.0747379 | + | 0.0161491i | ||||
\(961\) | 26.2335 | 0.846241 | ||||||||
\(962\) | 8.63572 | − | 3.68910i | 0.278427 | − | 0.118941i | ||||
\(963\) | − | 4.60387i | − | 0.148358i | ||||||
\(964\) | 9.22443 | + | 25.3439i | 0.297099 | + | 0.816272i | ||||
\(965\) | −11.4222 | + | 21.6575i | −0.367693 | + | 0.697180i | ||||
\(966\) | 4.06995 | − | 3.41510i | 0.130949 | − | 0.109879i | ||||
\(967\) | 2.60568 | + | 14.7775i | 0.0837930 | + | 0.475214i | 0.997611 | + | 0.0690888i | \(0.0220092\pi\) |
−0.913817 | + | 0.406125i | \(0.866880\pi\) | |||||||
\(968\) | −10.2387 | −0.329084 | ||||||||
\(969\) | 0.250743 | + | 1.42204i | 0.00805503 | + | 0.0456824i | ||||
\(970\) | 19.5012 | + | 15.1306i | 0.626145 | + | 0.485813i | ||||
\(971\) | −7.81074 | − | 6.55399i | −0.250659 | − | 0.210327i | 0.508797 | − | 0.860886i | \(-0.330090\pi\) |
−0.759456 | + | 0.650559i | \(0.774535\pi\) | |||||||
\(972\) | 13.5703 | − | 7.83480i | 0.435267 | − | 0.251301i | ||||
\(973\) | 8.16386 | + | 4.71341i | 0.261721 | + | 0.151105i | ||||
\(974\) | 34.3382 | − | 12.4981i | 1.10027 | − | 0.400464i | ||||
\(975\) | 3.37666 | + | 7.44876i | 0.108140 | + | 0.238551i | ||||
\(976\) | 1.64684 | − | 0.950801i | 0.0527139 | − | 0.0304344i | ||||
\(977\) | 3.07787 | − | 17.4554i | 0.0984697 | − | 0.558449i | −0.895159 | − | 0.445747i | \(-0.852938\pi\) |
0.993629 | − | 0.112703i | \(-0.0359507\pi\) | |||||||
\(978\) | −3.16109 | − | 0.557386i | −0.101081 | − | 0.0178232i | ||||
\(979\) | −8.59204 | + | 10.2396i | −0.274603 | + | 0.327259i | ||||
\(980\) | −6.08912 | + | 11.5455i | −0.194510 | + | 0.368809i | ||||
\(981\) | −5.85020 | + | 16.0733i | −0.186783 | + | 0.513181i | ||||
\(982\) | −18.2671 | − | 15.3279i | −0.582927 | − | 0.489134i | ||||
\(983\) | 22.5758 | + | 3.98072i | 0.720056 | + | 0.126965i | 0.521656 | − | 0.853156i | \(-0.325314\pi\) |
0.198400 | + | 0.980121i | \(0.436425\pi\) | |||||||
\(984\) | 1.73245 | + | 0.305477i | 0.0552284 | + | 0.00973825i | ||||
\(985\) | −16.0255 | − | 39.2834i | −0.510616 | − | 1.25167i | ||||
\(986\) | 1.11770 | + | 1.33202i | 0.0355948 | + | 0.0424202i | ||||
\(987\) | −1.91127 | − | 5.25116i | −0.0608363 | − | 0.167146i | ||||
\(988\) | −2.22853 | − | 1.28664i | −0.0708991 | − | 0.0409336i | ||||
\(989\) | −4.95239 | − | 8.57779i | −0.157477 | − | 0.272758i | ||||
\(990\) | −2.71385 | + | 2.46015i | −0.0862519 | + | 0.0781887i | ||||
\(991\) | 37.5341 | + | 21.6703i | 1.19231 | + | 0.688380i | 0.958830 | − | 0.283982i | \(-0.0916556\pi\) |
0.233479 | + | 0.972362i | \(0.424989\pi\) | |||||||
\(992\) | 2.15007 | − | 0.379116i | 0.0682649 | − | 0.0120369i | ||||
\(993\) | 8.13750 | 0.258236 | ||||||||
\(994\) | 11.5279 | − | 2.03267i | 0.365642 | − | 0.0644725i | ||||
\(995\) | 17.2208 | − | 10.8415i | 0.545937 | − | 0.343699i | ||||
\(996\) | 4.04470 | + | 1.47215i | 0.128161 | + | 0.0466469i | ||||
\(997\) | 23.0591 | − | 8.39284i | 0.730290 | − | 0.265804i | 0.0500023 | − | 0.998749i | \(-0.484077\pi\) |
0.680288 | + | 0.732945i | \(0.261855\pi\) | |||||||
\(998\) | 37.9114i | 1.20006i | ||||||||
\(999\) | 31.2081 | + | 3.75906i | 0.987381 | + | 0.118931i |
(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 | 370.2.v.a.289.6 | yes | 60 | |
5.4 | even | 2 | 370.2.v.b.289.5 | yes | 60 | ||
37.21 | even | 18 | 370.2.v.b.169.5 | yes | 60 | ||
185.169 | even | 18 | inner | 370.2.v.a.169.6 | ✓ | 60 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
370.2.v.a.169.6 | ✓ | 60 | 185.169 | even | 18 | inner | |
370.2.v.a.289.6 | yes | 60 | 1.1 | even | 1 | trivial | |
370.2.v.b.169.5 | yes | 60 | 37.21 | even | 18 | ||
370.2.v.b.289.5 | yes | 60 | 5.4 | even | 2 |