Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [483,2,Mod(34,483)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(483, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 11, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("483.34");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 483 = 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 483.r (of order \(22\), 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: | \(3.85677441763\) |
Analytic rank: | \(0\) |
Dimension: | \(320\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 34.11 | ||
Character | \(\chi\) | \(=\) | 483.34 |
Dual form | 483.2.r.a.412.11 |
$q$-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 \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(346\) | \(442\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{9}{22}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.818407 | + | 0.525958i | −0.578701 | + | 0.371909i | −0.797005 | − | 0.603972i | \(-0.793584\pi\) |
0.218304 | + | 0.975881i | \(0.429947\pi\) | |||||||
\(3\) | −0.989821 | − | 0.142315i | −0.571474 | − | 0.0821655i | ||||
\(4\) | −0.437672 | + | 0.958368i | −0.218836 | + | 0.479184i | ||||
\(5\) | −0.929338 | + | 0.272878i | −0.415613 | + | 0.122035i | −0.482852 | − | 0.875702i | \(-0.660399\pi\) |
0.0672393 | + | 0.997737i | \(0.478581\pi\) | |||||||
\(6\) | 0.884929 | − | 0.404133i | 0.361271 | − | 0.164987i | ||||
\(7\) | 2.61509 | + | 0.401643i | 0.988410 | + | 0.151807i | ||||
\(8\) | −0.422768 | − | 2.94041i | −0.149471 | − | 1.03959i | ||||
\(9\) | 0.959493 | + | 0.281733i | 0.319831 | + | 0.0939109i | ||||
\(10\) | 0.617054 | − | 0.712119i | 0.195130 | − | 0.225192i | ||||
\(11\) | 2.79512 | − | 4.34930i | 0.842762 | − | 1.31136i | −0.105676 | − | 0.994401i | \(-0.533701\pi\) |
0.948438 | − | 0.316962i | \(-0.102663\pi\) | |||||||
\(12\) | 0.569607 | − | 0.886326i | 0.164431 | − | 0.255860i | ||||
\(13\) | 0.940947 | + | 0.815335i | 0.260972 | + | 0.226133i | 0.775512 | − | 0.631333i | \(-0.217492\pi\) |
−0.514540 | + | 0.857466i | \(0.672037\pi\) | |||||||
\(14\) | −2.35145 | + | 1.04672i | −0.628452 | + | 0.279748i | ||||
\(15\) | 0.958713 | − | 0.137842i | 0.247539 | − | 0.0355907i | ||||
\(16\) | 0.512637 | + | 0.591615i | 0.128159 | + | 0.147904i | ||||
\(17\) | 0.140636 | + | 0.307950i | 0.0341092 | + | 0.0746888i | 0.925920 | − | 0.377720i | \(-0.123292\pi\) |
−0.891810 | + | 0.452409i | \(0.850565\pi\) | |||||||
\(18\) | −0.933435 | + | 0.274081i | −0.220013 | + | 0.0646016i | ||||
\(19\) | −2.62188 | + | 5.74111i | −0.601500 | + | 1.31710i | 0.326738 | + | 0.945115i | \(0.394051\pi\) |
−0.928238 | + | 0.371987i | \(0.878677\pi\) | |||||||
\(20\) | 0.145227 | − | 1.01008i | 0.0324738 | − | 0.225861i | ||||
\(21\) | −2.53131 | − | 0.769721i | −0.552377 | − | 0.167967i | ||||
\(22\) | 5.02962i | 1.07232i | ||||||||
\(23\) | 4.07455 | + | 2.52943i | 0.849603 | + | 0.527423i | ||||
\(24\) | 2.97065i | 0.606381i | ||||||||
\(25\) | −3.41706 | + | 2.19601i | −0.683412 | + | 0.439202i | ||||
\(26\) | −1.19891 | − | 0.172377i | −0.235126 | − | 0.0338060i | ||||
\(27\) | −0.909632 | − | 0.415415i | −0.175059 | − | 0.0799467i | ||||
\(28\) | −1.52947 | + | 2.33043i | −0.289043 | + | 0.440410i | ||||
\(29\) | 2.59704 | + | 5.68673i | 0.482259 | + | 1.05600i | 0.981836 | + | 0.189730i | \(0.0607612\pi\) |
−0.499578 | + | 0.866269i | \(0.666511\pi\) | |||||||
\(30\) | −0.712119 | + | 0.617054i | −0.130014 | + | 0.112658i | ||||
\(31\) | 6.95457 | − | 0.999916i | 1.24908 | − | 0.179590i | 0.514129 | − | 0.857713i | \(-0.328115\pi\) |
0.734949 | + | 0.678123i | \(0.237206\pi\) | |||||||
\(32\) | 4.96992 | + | 1.45930i | 0.878567 | + | 0.257970i | ||||
\(33\) | −3.38564 | + | 3.90724i | −0.589365 | + | 0.680163i | ||||
\(34\) | −0.277066 | − | 0.178060i | −0.0475164 | − | 0.0305370i | ||||
\(35\) | −2.53990 | + | 0.340338i | −0.429321 | + | 0.0575277i | ||||
\(36\) | −0.689947 | + | 0.796241i | −0.114991 | + | 0.132707i | ||||
\(37\) | −0.359237 | + | 1.22345i | −0.0590582 | + | 0.201134i | −0.983737 | − | 0.179614i | \(-0.942515\pi\) |
0.924679 | + | 0.380748i | \(0.124333\pi\) | |||||||
\(38\) | −0.873822 | − | 6.07757i | −0.141753 | − | 0.985912i | ||||
\(39\) | −0.815335 | − | 0.940947i | −0.130558 | − | 0.150672i | ||||
\(40\) | 1.19527 | + | 2.61727i | 0.188989 | + | 0.413827i | ||||
\(41\) | −1.06330 | − | 3.62126i | −0.166059 | − | 0.565545i | −0.999908 | − | 0.0135527i | \(-0.995686\pi\) |
0.833849 | − | 0.551992i | \(-0.186132\pi\) | |||||||
\(42\) | 2.47648 | − | 0.701419i | 0.382130 | − | 0.108231i | ||||
\(43\) | 2.84823 | + | 0.409513i | 0.434350 | + | 0.0624501i | 0.356022 | − | 0.934477i | \(-0.384133\pi\) |
0.0783281 | + | 0.996928i | \(0.475042\pi\) | |||||||
\(44\) | 2.94488 | + | 4.58232i | 0.443957 | + | 0.690811i | ||||
\(45\) | −0.968572 | −0.144386 | ||||||||
\(46\) | −4.66502 | + | 0.0729377i | −0.687819 | + | 0.0107541i | ||||
\(47\) | 8.50072i | 1.23996i | 0.784618 | + | 0.619979i | \(0.212859\pi\) | ||||
−0.784618 | + | 0.619979i | \(0.787141\pi\) | |||||||
\(48\) | −0.423224 | − | 0.658549i | −0.0610871 | − | 0.0950534i | ||||
\(49\) | 6.67737 | + | 2.10066i | 0.953909 | + | 0.300095i | ||||
\(50\) | 1.64154 | − | 3.59446i | 0.232148 | − | 0.508334i | ||||
\(51\) | −0.0953786 | − | 0.324830i | −0.0133557 | − | 0.0454853i | ||||
\(52\) | −1.19322 | + | 0.544924i | −0.165470 | + | 0.0755674i | ||||
\(53\) | 6.02099 | − | 5.21722i | 0.827046 | − | 0.716640i | −0.134610 | − | 0.990899i | \(-0.542978\pi\) |
0.961656 | + | 0.274259i | \(0.0884325\pi\) | |||||||
\(54\) | 0.962940 | − | 0.138450i | 0.131040 | − | 0.0188406i | ||||
\(55\) | −1.41079 | + | 4.80470i | −0.190230 | + | 0.647865i | ||||
\(56\) | 0.0754223 | − | 7.85924i | 0.0100787 | − | 1.05023i | ||||
\(57\) | 3.41224 | − | 5.30954i | 0.451962 | − | 0.703266i | ||||
\(58\) | −5.11642 | − | 3.28812i | −0.671819 | − | 0.431752i | ||||
\(59\) | −6.94455 | − | 6.01748i | −0.904103 | − | 0.783410i | 0.0727435 | − | 0.997351i | \(-0.476825\pi\) |
−0.976847 | + | 0.213941i | \(0.931370\pi\) | |||||||
\(60\) | −0.287498 | + | 0.979130i | −0.0371159 | + | 0.126405i | ||||
\(61\) | 0.508508 | + | 3.53675i | 0.0651078 | + | 0.452835i | 0.996131 | + | 0.0878758i | \(0.0280079\pi\) |
−0.931024 | + | 0.364959i | \(0.881083\pi\) | |||||||
\(62\) | −5.16576 | + | 4.47615i | −0.656052 | + | 0.568472i | ||||
\(63\) | 2.39600 | + | 1.12213i | 0.301868 | + | 0.141375i | ||||
\(64\) | −6.33717 | + | 1.86076i | −0.792146 | + | 0.232595i | ||||
\(65\) | −1.09695 | − | 0.500958i | −0.136059 | − | 0.0621362i | ||||
\(66\) | 0.715789 | − | 4.97842i | 0.0881075 | − | 0.612801i | ||||
\(67\) | 3.35395 | + | 5.21885i | 0.409750 | + | 0.637584i | 0.983386 | − | 0.181527i | \(-0.0581039\pi\) |
−0.573636 | + | 0.819110i | \(0.694468\pi\) | |||||||
\(68\) | −0.356681 | −0.0432540 | ||||||||
\(69\) | −3.67310 | − | 3.08356i | −0.442190 | − | 0.371217i | ||||
\(70\) | 1.89967 | − | 1.61442i | 0.227054 | − | 0.192960i | ||||
\(71\) | −5.04503 | + | 3.24224i | −0.598734 | + | 0.384783i | −0.804618 | − | 0.593793i | \(-0.797630\pi\) |
0.205883 | + | 0.978577i | \(0.433993\pi\) | |||||||
\(72\) | 0.422768 | − | 2.94041i | 0.0498236 | − | 0.346531i | ||||
\(73\) | −1.57980 | − | 0.721472i | −0.184902 | − | 0.0844420i | 0.320813 | − | 0.947143i | \(-0.396044\pi\) |
−0.505715 | + | 0.862701i | \(0.668771\pi\) | |||||||
\(74\) | −0.349481 | − | 1.19022i | −0.0406264 | − | 0.138361i | ||||
\(75\) | 3.69481 | − | 1.68736i | 0.426639 | − | 0.194840i | ||||
\(76\) | −4.35458 | − | 5.02545i | −0.499504 | − | 0.576459i | ||||
\(77\) | 9.05636 | − | 10.2512i | 1.03207 | − | 1.16823i | ||||
\(78\) | 1.16218 | + | 0.341245i | 0.131590 | + | 0.0386384i | ||||
\(79\) | 2.46703 | + | 2.13770i | 0.277563 | + | 0.240510i | 0.782506 | − | 0.622643i | \(-0.213941\pi\) |
−0.504943 | + | 0.863153i | \(0.668487\pi\) | |||||||
\(80\) | −0.637852 | − | 0.409923i | −0.0713140 | − | 0.0458308i | ||||
\(81\) | 0.841254 | + | 0.540641i | 0.0934726 | + | 0.0600712i | ||||
\(82\) | 2.77484 | + | 2.40441i | 0.306430 | + | 0.265523i | ||||
\(83\) | −5.97398 | − | 1.75412i | −0.655729 | − | 0.192539i | −0.0630904 | − | 0.998008i | \(-0.520096\pi\) |
−0.592639 | + | 0.805468i | \(0.701914\pi\) | |||||||
\(84\) | 1.84556 | − | 2.08904i | 0.201367 | − | 0.227933i | ||||
\(85\) | −0.214731 | − | 0.247813i | −0.0232908 | − | 0.0268791i | ||||
\(86\) | −2.54639 | + | 1.16290i | −0.274585 | + | 0.125399i | ||||
\(87\) | −1.76130 | − | 5.99844i | −0.188831 | − | 0.643101i | ||||
\(88\) | −13.9704 | − | 6.38008i | −1.48925 | − | 0.680119i | ||||
\(89\) | −1.32657 | + | 9.22651i | −0.140616 | + | 0.978008i | 0.790285 | + | 0.612739i | \(0.209932\pi\) |
−0.930902 | + | 0.365269i | \(0.880977\pi\) | |||||||
\(90\) | 0.792686 | − | 0.509428i | 0.0835565 | − | 0.0536985i | ||||
\(91\) | 2.13319 | + | 2.51010i | 0.223619 | + | 0.263130i | ||||
\(92\) | −4.20744 | + | 2.79786i | −0.438656 | + | 0.291697i | ||||
\(93\) | −7.02609 | −0.728571 | ||||||||
\(94\) | −4.47103 | − | 6.95705i | −0.461151 | − | 0.717565i | ||||
\(95\) | 0.869986 | − | 6.05089i | 0.0892587 | − | 0.620808i | ||||
\(96\) | −4.71166 | − | 2.15174i | −0.480882 | − | 0.219611i | ||||
\(97\) | 14.8247 | − | 4.35294i | 1.50522 | − | 0.441974i | 0.577861 | − | 0.816135i | \(-0.303888\pi\) |
0.927363 | + | 0.374162i | \(0.122069\pi\) | |||||||
\(98\) | −6.56967 | + | 1.79282i | −0.663636 | + | 0.181102i | ||||
\(99\) | 3.90724 | − | 3.38564i | 0.392693 | − | 0.340270i | ||||
\(100\) | −0.609035 | − | 4.23593i | −0.0609035 | − | 0.423593i | ||||
\(101\) | 3.53695 | − | 12.0457i | 0.351939 | − | 1.19859i | −0.573343 | − | 0.819315i | \(-0.694354\pi\) |
0.925282 | − | 0.379279i | \(-0.123828\pi\) | |||||||
\(102\) | 0.248905 | + | 0.215678i | 0.0246453 | + | 0.0213553i | ||||
\(103\) | 12.0172 | + | 7.72298i | 1.18409 | + | 0.760968i | 0.976134 | − | 0.217171i | \(-0.0696829\pi\) |
0.207955 | + | 0.978138i | \(0.433319\pi\) | |||||||
\(104\) | 1.99962 | − | 3.11147i | 0.196079 | − | 0.305105i | ||||
\(105\) | 2.56248 | + | 0.0245912i | 0.250073 | + | 0.00239986i | ||||
\(106\) | −2.18358 | + | 7.43660i | −0.212088 | + | 0.722306i | ||||
\(107\) | −2.16990 | + | 0.311984i | −0.209772 | + | 0.0301606i | −0.246400 | − | 0.969168i | \(-0.579248\pi\) |
0.0366276 | + | 0.999329i | \(0.488338\pi\) | |||||||
\(108\) | 0.796241 | − | 0.689947i | 0.0766183 | − | 0.0663901i | ||||
\(109\) | −0.148697 | + | 0.0679076i | −0.0142426 | + | 0.00650436i | −0.422524 | − | 0.906352i | \(-0.638856\pi\) |
0.408281 | + | 0.912856i | \(0.366128\pi\) | |||||||
\(110\) | −1.37247 | − | 4.67421i | −0.130860 | − | 0.445669i | ||||
\(111\) | 0.529696 | − | 1.15987i | 0.0502765 | − | 0.110090i | ||||
\(112\) | 1.10297 | + | 1.75302i | 0.104221 | + | 0.165645i | ||||
\(113\) | −0.0172420 | − | 0.0268291i | −0.00162199 | − | 0.00252387i | 0.840442 | − | 0.541902i | \(-0.182296\pi\) |
−0.842064 | + | 0.539378i | \(0.818659\pi\) | |||||||
\(114\) | 6.14006i | 0.575070i | ||||||||
\(115\) | −4.47686 | − | 1.23884i | −0.417470 | − | 0.115523i | ||||
\(116\) | −6.58663 | −0.611553 | ||||||||
\(117\) | 0.673126 | + | 1.04740i | 0.0622305 | + | 0.0968325i | ||||
\(118\) | 8.84841 | + | 1.27221i | 0.814562 | + | 0.117116i | ||||
\(119\) | 0.244089 | + | 0.861801i | 0.0223756 | + | 0.0790011i | ||||
\(120\) | −0.810626 | − | 2.76074i | −0.0739997 | − | 0.252020i | ||||
\(121\) | −6.53411 | − | 14.3077i | −0.594010 | − | 1.30070i | ||||
\(122\) | −2.27635 | − | 2.62705i | −0.206091 | − | 0.237842i | ||||
\(123\) | 0.537115 | + | 3.73572i | 0.0484301 | + | 0.336839i | ||||
\(124\) | −2.08553 | + | 7.10267i | −0.187286 | + | 0.637839i | ||||
\(125\) | 5.74776 | − | 6.63327i | 0.514095 | − | 0.593298i | ||||
\(126\) | −2.55110 | + | 0.341839i | −0.227270 | + | 0.0304534i | ||||
\(127\) | 4.05825 | + | 2.60808i | 0.360111 | + | 0.231429i | 0.708168 | − | 0.706044i | \(-0.249522\pi\) |
−0.348057 | + | 0.937474i | \(0.613158\pi\) | |||||||
\(128\) | −2.57631 | + | 2.97322i | −0.227716 | + | 0.262798i | ||||
\(129\) | −2.76095 | − | 0.810690i | −0.243089 | − | 0.0713772i | ||||
\(130\) | 1.16123 | − | 0.166960i | 0.101847 | − | 0.0146433i | ||||
\(131\) | −1.85930 | + | 1.61109i | −0.162448 | + | 0.140762i | −0.732292 | − | 0.680991i | \(-0.761549\pi\) |
0.569844 | + | 0.821753i | \(0.307004\pi\) | |||||||
\(132\) | −2.26277 | − | 4.95478i | −0.196949 | − | 0.431258i | ||||
\(133\) | −9.16232 | + | 13.9605i | −0.794474 | + | 1.21052i | ||||
\(134\) | −5.48979 | − | 2.50710i | −0.474246 | − | 0.216581i | ||||
\(135\) | 0.958713 | + | 0.137842i | 0.0825129 | + | 0.0118636i | ||||
\(136\) | 0.846043 | − | 0.543719i | 0.0725476 | − | 0.0466235i | ||||
\(137\) | − | 0.728574i | − | 0.0622463i | −0.999516 | − | 0.0311232i | \(-0.990092\pi\) | ||
0.999516 | − | 0.0311232i | \(-0.00990841\pi\) | |||||||
\(138\) | 4.62792 | + | 0.591706i | 0.393954 | + | 0.0503694i | ||||
\(139\) | − | 17.8116i | − | 1.51076i | −0.655287 | − | 0.755380i | \(-0.727453\pi\) | ||
0.655287 | − | 0.755380i | \(-0.272547\pi\) | |||||||
\(140\) | 0.785474 | − | 2.58312i | 0.0663846 | − | 0.218313i | ||||
\(141\) | 1.20978 | − | 8.41420i | 0.101882 | − | 0.708603i | ||||
\(142\) | 2.42360 | − | 5.30695i | 0.203384 | − | 0.445349i | ||||
\(143\) | 6.17620 | − | 1.81350i | 0.516480 | − | 0.151652i | ||||
\(144\) | 0.325195 | + | 0.712077i | 0.0270996 | + | 0.0593398i | ||||
\(145\) | −3.96531 | − | 4.57622i | −0.329301 | − | 0.380034i | ||||
\(146\) | 1.67239 | − | 0.240453i | 0.138408 | − | 0.0199000i | ||||
\(147\) | −6.31044 | − | 3.02957i | −0.520477 | − | 0.249875i | ||||
\(148\) | −1.01529 | − | 0.879751i | −0.0834561 | − | 0.0723151i | ||||
\(149\) | 7.37545 | − | 11.4764i | 0.604221 | − | 0.940186i | −0.395543 | − | 0.918447i | \(-0.629444\pi\) |
0.999764 | − | 0.0217381i | \(-0.00692001\pi\) | |||||||
\(150\) | −2.13637 | + | 3.32426i | −0.174434 | + | 0.271425i | ||||
\(151\) | −3.13572 | + | 3.61881i | −0.255181 | + | 0.294495i | −0.868857 | − | 0.495063i | \(-0.835145\pi\) |
0.613676 | + | 0.789558i | \(0.289690\pi\) | |||||||
\(152\) | 17.9897 | + | 5.28225i | 1.45916 | + | 0.428447i | ||||
\(153\) | 0.0481797 | + | 0.335097i | 0.00389510 | + | 0.0270910i | ||||
\(154\) | −2.02011 | + | 13.1529i | −0.162785 | + | 1.05989i | ||||
\(155\) | −6.19029 | + | 2.82701i | −0.497216 | + | 0.227071i | ||||
\(156\) | 1.25862 | − | 0.369565i | 0.100771 | − | 0.0295889i | ||||
\(157\) | −2.41463 | + | 5.28731i | −0.192709 | + | 0.421973i | −0.981179 | − | 0.193099i | \(-0.938146\pi\) |
0.788470 | + | 0.615073i | \(0.210873\pi\) | |||||||
\(158\) | −3.14338 | − | 0.451950i | −0.250074 | − | 0.0359552i | ||||
\(159\) | −6.70219 | + | 4.30724i | −0.531518 | + | 0.341586i | ||||
\(160\) | −5.01695 | −0.396625 | ||||||||
\(161\) | 9.63938 | + | 8.25120i | 0.759689 | + | 0.650286i | ||||
\(162\) | −0.972842 | −0.0764337 | ||||||||
\(163\) | 13.6235 | − | 8.75531i | 1.06708 | − | 0.685769i | 0.115540 | − | 0.993303i | \(-0.463140\pi\) |
0.951537 | + | 0.307534i | \(0.0995039\pi\) | |||||||
\(164\) | 3.93587 | + | 0.565893i | 0.307340 | + | 0.0441888i | ||||
\(165\) | 2.08021 | − | 4.55502i | 0.161944 | − | 0.354608i | ||||
\(166\) | 5.81174 | − | 1.70648i | 0.451078 | − | 0.132449i | ||||
\(167\) | 11.1834 | − | 5.10729i | 0.865397 | − | 0.395214i | 0.0672930 | − | 0.997733i | \(-0.478564\pi\) |
0.798104 | + | 0.602520i | \(0.205836\pi\) | |||||||
\(168\) | −1.19314 | + | 7.76851i | −0.0920528 | + | 0.599354i | ||||
\(169\) | −1.62948 | − | 11.3333i | −0.125345 | − | 0.871793i | ||||
\(170\) | 0.306077 | + | 0.0898722i | 0.0234750 | + | 0.00689288i | ||||
\(171\) | −4.13313 | + | 4.76989i | −0.316069 | + | 0.364763i | ||||
\(172\) | −1.63905 | + | 2.55042i | −0.124977 | + | 0.194467i | ||||
\(173\) | −2.15005 | + | 3.34554i | −0.163465 | + | 0.254357i | −0.913317 | − | 0.407249i | \(-0.866488\pi\) |
0.749852 | + | 0.661605i | \(0.230125\pi\) | |||||||
\(174\) | 4.59639 | + | 3.98280i | 0.348452 | + | 0.301935i | ||||
\(175\) | −9.81793 | + | 4.37032i | −0.742166 | + | 0.330365i | ||||
\(176\) | 4.00600 | − | 0.575975i | 0.301963 | − | 0.0434158i | ||||
\(177\) | 6.01748 | + | 6.94455i | 0.452302 | + | 0.521984i | ||||
\(178\) | −3.76708 | − | 8.24877i | −0.282355 | − | 0.618271i | ||||
\(179\) | −18.4370 | + | 5.41358i | −1.37804 | + | 0.404630i | −0.885088 | − | 0.465425i | \(-0.845902\pi\) |
−0.492956 | + | 0.870055i | \(0.664083\pi\) | |||||||
\(180\) | 0.423917 | − | 0.928248i | 0.0315969 | − | 0.0691875i | ||||
\(181\) | 3.68110 | − | 25.6026i | 0.273614 | − | 1.90303i | −0.135900 | − | 0.990723i | \(-0.543393\pi\) |
0.409514 | − | 0.912304i | \(-0.365698\pi\) | |||||||
\(182\) | −3.06602 | − | 0.932316i | −0.227269 | − | 0.0691078i | ||||
\(183\) | − | 3.57312i | − | 0.264133i | ||||||
\(184\) | 5.71499 | − | 13.0502i | 0.421315 | − | 0.962075i | ||||
\(185\) | − | 1.23503i | − | 0.0908009i | ||||||
\(186\) | 5.75020 | − | 3.69543i | 0.421625 | − | 0.270962i | ||||
\(187\) | 1.73246 | + | 0.249090i | 0.126690 | + | 0.0182153i | ||||
\(188\) | −8.14682 | − | 3.72053i | −0.594168 | − | 0.271347i | ||||
\(189\) | −2.21192 | − | 1.45169i | −0.160893 | − | 0.105595i | ||||
\(190\) | 2.47051 | + | 5.40967i | 0.179230 | + | 0.392458i | ||||
\(191\) | −14.6653 | + | 12.7076i | −1.06115 | + | 0.919488i | −0.996918 | − | 0.0784472i | \(-0.975004\pi\) |
−0.0642276 | + | 0.997935i | \(0.520458\pi\) | |||||||
\(192\) | 6.53748 | − | 0.939948i | 0.471802 | − | 0.0678349i | ||||
\(193\) | 24.2271 | + | 7.11373i | 1.74391 | + | 0.512058i | 0.989523 | − | 0.144375i | \(-0.0461170\pi\) |
0.754385 | + | 0.656432i | \(0.227935\pi\) | |||||||
\(194\) | −9.84321 | + | 11.3597i | −0.706701 | + | 0.815577i | ||||
\(195\) | 1.01449 | + | 0.651971i | 0.0726489 | + | 0.0466886i | ||||
\(196\) | −4.93570 | + | 5.47997i | −0.352550 | + | 0.391427i | ||||
\(197\) | −5.22832 | + | 6.03381i | −0.372503 | + | 0.429891i | −0.910790 | − | 0.412871i | \(-0.864526\pi\) |
0.538287 | + | 0.842762i | \(0.319072\pi\) | |||||||
\(198\) | −1.41701 | + | 4.82588i | −0.100702 | + | 0.342960i | ||||
\(199\) | −3.29629 | − | 22.9262i | −0.233668 | − | 1.62520i | −0.682016 | − | 0.731338i | \(-0.738896\pi\) |
0.448348 | − | 0.893859i | \(-0.352013\pi\) | |||||||
\(200\) | 7.90180 | + | 9.11917i | 0.558742 | + | 0.644823i | ||||
\(201\) | −2.57709 | − | 5.64304i | −0.181774 | − | 0.398030i | ||||
\(202\) | 3.44089 | + | 11.7186i | 0.242100 | + | 0.824518i | ||||
\(203\) | 4.50746 | + | 15.9144i | 0.316361 | + | 1.11697i | ||||
\(204\) | 0.353051 | + | 0.0507611i | 0.0247185 | + | 0.00355398i | ||||
\(205\) | 1.97632 | + | 3.07522i | 0.138032 | + | 0.214783i | ||||
\(206\) | −13.8969 | −0.968244 | ||||||||
\(207\) | 3.19688 | + | 3.57491i | 0.222198 | + | 0.248473i | ||||
\(208\) | 0.974650i | 0.0675798i | ||||||||
\(209\) | 17.6413 | + | 27.4505i | 1.22028 | + | 1.89879i | ||||
\(210\) | −2.11009 | + | 1.32763i | −0.145610 | + | 0.0916154i | ||||
\(211\) | −8.53244 | + | 18.6834i | −0.587398 | + | 1.28622i | 0.349604 | + | 0.936897i | \(0.386316\pi\) |
−0.937002 | + | 0.349324i | \(0.886411\pi\) | |||||||
\(212\) | 2.36479 | + | 8.05375i | 0.162415 | + | 0.553134i | ||||
\(213\) | 5.45509 | − | 2.49126i | 0.373777 | − | 0.170698i | ||||
\(214\) | 1.61177 | − | 1.39661i | 0.110178 | − | 0.0954700i | ||||
\(215\) | −2.75871 | + | 0.396643i | −0.188143 | + | 0.0270508i | ||||
\(216\) | −0.836929 | + | 2.85032i | −0.0569458 | + | 0.193940i | ||||
\(217\) | 18.5884 | + | 0.178386i | 1.26186 | + | 0.0121097i | ||||
\(218\) | 0.0859780 | − | 0.133784i | 0.00582316 | − | 0.00906102i | ||||
\(219\) | 1.46105 | + | 0.938958i | 0.0987285 | + | 0.0634489i | ||||
\(220\) | −3.98721 | − | 3.45493i | −0.268817 | − | 0.232932i | ||||
\(221\) | −0.118751 | + | 0.404430i | −0.00798808 | + | 0.0272049i | ||||
\(222\) | 0.176537 | + | 1.22785i | 0.0118484 | + | 0.0824076i | ||||
\(223\) | −22.2076 | + | 19.2430i | −1.48713 | + | 1.28861i | −0.626459 | + | 0.779455i | \(0.715496\pi\) |
−0.860675 | + | 0.509154i | \(0.829958\pi\) | |||||||
\(224\) | 12.4107 | + | 5.81234i | 0.829223 | + | 0.388353i | ||||
\(225\) | −3.89733 | + | 1.14436i | −0.259822 | + | 0.0762907i | ||||
\(226\) | 0.0282220 | + | 0.0128886i | 0.00187730 | + | 0.000857334i | ||||
\(227\) | −3.56275 | + | 24.7794i | −0.236468 | + | 1.64467i | 0.432686 | + | 0.901545i | \(0.357566\pi\) |
−0.669153 | + | 0.743124i | \(0.733343\pi\) | |||||||
\(228\) | 3.59506 | + | 5.59402i | 0.238088 | + | 0.370473i | ||||
\(229\) | −19.9727 | −1.31983 | −0.659917 | − | 0.751338i | \(-0.729409\pi\) | ||||
−0.659917 | + | 0.751338i | \(0.729409\pi\) | |||||||
\(230\) | 4.31548 | − | 1.34077i | 0.284554 | − | 0.0884075i | ||||
\(231\) | −10.4231 | + | 8.85796i | −0.685788 | + | 0.582811i | ||||
\(232\) | 15.6234 | − | 10.0405i | 1.02573 | − | 0.659194i | ||||
\(233\) | 1.14342 | − | 7.95269i | 0.0749082 | − | 0.520998i | −0.917473 | − | 0.397797i | \(-0.869775\pi\) |
0.992382 | − | 0.123201i | \(-0.0393161\pi\) | |||||||
\(234\) | −1.10178 | − | 0.503167i | −0.0720257 | − | 0.0328930i | ||||
\(235\) | −2.31966 | − | 7.90004i | −0.151318 | − | 0.515342i | ||||
\(236\) | 8.80640 | − | 4.02175i | 0.573248 | − | 0.261793i | ||||
\(237\) | −2.13770 | − | 2.46703i | −0.138858 | − | 0.160251i | ||||
\(238\) | −0.653036 | − | 0.576923i | −0.0423300 | − | 0.0373964i | ||||
\(239\) | 8.09190 | + | 2.37600i | 0.523421 | + | 0.153690i | 0.532761 | − | 0.846266i | \(-0.321155\pi\) |
−0.00933926 | + | 0.999956i | \(0.502973\pi\) | |||||||
\(240\) | 0.573022 | + | 0.496526i | 0.0369884 | + | 0.0320506i | ||||
\(241\) | 7.40822 | + | 4.76097i | 0.477205 | + | 0.306681i | 0.757042 | − | 0.653366i | \(-0.226644\pi\) |
−0.279837 | + | 0.960048i | \(0.590280\pi\) | |||||||
\(242\) | 12.8728 | + | 8.27286i | 0.827496 | + | 0.531800i | ||||
\(243\) | −0.755750 | − | 0.654861i | −0.0484814 | − | 0.0420093i | ||||
\(244\) | −3.61207 | − | 1.06060i | −0.231239 | − | 0.0678979i | ||||
\(245\) | −6.77876 | − | 0.130119i | −0.433079 | − | 0.00831297i | ||||
\(246\) | −2.40441 | − | 2.77484i | −0.153300 | − | 0.176917i | ||||
\(247\) | −7.14798 | + | 3.26437i | −0.454815 | + | 0.207707i | ||||
\(248\) | −5.88033 | − | 20.0266i | −0.373402 | − | 1.27169i | ||||
\(249\) | 5.66353 | + | 2.58645i | 0.358912 | + | 0.163910i | ||||
\(250\) | −1.21518 | + | 8.45180i | −0.0768550 | + | 0.534539i | ||||
\(251\) | −17.4263 | + | 11.1992i | −1.09994 | + | 0.706887i | −0.959078 | − | 0.283142i | \(-0.908623\pi\) |
−0.140860 | + | 0.990030i | \(0.544987\pi\) | |||||||
\(252\) | −2.12408 | + | 1.80513i | −0.133804 | + | 0.113712i | ||||
\(253\) | 22.3901 | − | 10.6514i | 1.40766 | − | 0.669645i | ||||
\(254\) | −4.69304 | −0.294467 | ||||||||
\(255\) | 0.177278 | + | 0.275850i | 0.0111016 | + | 0.0172744i | ||||
\(256\) | 2.42458 | − | 16.8633i | 0.151536 | − | 1.05396i | ||||
\(257\) | −19.9647 | − | 9.11757i | −1.24536 | − | 0.568738i | −0.319855 | − | 0.947467i | \(-0.603634\pi\) |
−0.925508 | + | 0.378728i | \(0.876361\pi\) | |||||||
\(258\) | 2.68597 | − | 0.788673i | 0.167221 | − | 0.0491006i | ||||
\(259\) | −1.43083 | + | 3.05514i | −0.0889072 | + | 0.189837i | ||||
\(260\) | 0.960205 | − | 0.832022i | 0.0595494 | − | 0.0515998i | ||||
\(261\) | 0.889707 | + | 6.18805i | 0.0550715 | + | 0.383031i | ||||
\(262\) | 0.674297 | − | 2.29645i | 0.0416582 | − | 0.141875i | ||||
\(263\) | 7.17830 | + | 6.22003i | 0.442633 | + | 0.383543i | 0.847468 | − | 0.530846i | \(-0.178126\pi\) |
−0.404836 | + | 0.914390i | \(0.632671\pi\) | |||||||
\(264\) | 12.9202 | + | 8.30334i | 0.795186 | + | 0.511035i | ||||
\(265\) | −4.17187 | + | 6.49155i | −0.256276 | + | 0.398773i | ||||
\(266\) | 0.155891 | − | 16.2443i | 0.00955829 | − | 0.996004i | ||||
\(267\) | 2.62614 | − | 8.94381i | 0.160717 | − | 0.547352i | ||||
\(268\) | −6.46951 | + | 0.930175i | −0.395188 | + | 0.0568195i | ||||
\(269\) | 5.60438 | − | 4.85622i | 0.341705 | − | 0.296089i | −0.467055 | − | 0.884228i | \(-0.654685\pi\) |
0.808759 | + | 0.588140i | \(0.200139\pi\) | |||||||
\(270\) | −0.857117 | + | 0.391432i | −0.0521625 | + | 0.0238218i | ||||
\(271\) | −4.91085 | − | 16.7248i | −0.298313 | − | 1.01596i | −0.963148 | − | 0.268971i | \(-0.913316\pi\) |
0.664835 | − | 0.746990i | \(-0.268502\pi\) | |||||||
\(272\) | −0.110092 | + | 0.241069i | −0.00667533 | + | 0.0146169i | ||||
\(273\) | −1.75425 | − | 2.78813i | −0.106172 | − | 0.168746i | ||||
\(274\) | 0.383200 | + | 0.596270i | 0.0231499 | + | 0.0360220i | ||||
\(275\) | 20.9999i | 1.26634i | ||||||||
\(276\) | 4.56280 | − | 2.17060i | 0.274648 | − | 0.130655i | ||||
\(277\) | −18.7551 | −1.12689 | −0.563443 | − | 0.826155i | \(-0.690524\pi\) | ||||
−0.563443 | + | 0.826155i | \(0.690524\pi\) | |||||||
\(278\) | 9.36815 | + | 14.5771i | 0.561864 | + | 0.874278i | ||||
\(279\) | 6.95457 | + | 0.999916i | 0.416359 | + | 0.0598634i | ||||
\(280\) | 2.07452 | + | 7.32447i | 0.123976 | + | 0.437721i | ||||
\(281\) | −1.50842 | − | 5.13721i | −0.0899848 | − | 0.306460i | 0.902186 | − | 0.431347i | \(-0.141961\pi\) |
−0.992171 | + | 0.124887i | \(0.960143\pi\) | |||||||
\(282\) | 3.43543 | + | 7.52253i | 0.204577 | + | 0.447960i | ||||
\(283\) | 4.67591 | + | 5.39629i | 0.277954 | + | 0.320776i | 0.877511 | − | 0.479556i | \(-0.159202\pi\) |
−0.599557 | + | 0.800332i | \(0.704657\pi\) | |||||||
\(284\) | −0.899194 | − | 6.25403i | −0.0533573 | − | 0.371108i | ||||
\(285\) | −1.72226 | + | 5.86549i | −0.102018 | + | 0.347441i | ||||
\(286\) | −4.10082 | + | 4.73260i | −0.242487 | + | 0.279845i | ||||
\(287\) | −1.32616 | − | 9.89697i | −0.0782808 | − | 0.584200i | ||||
\(288\) | 4.35747 | + | 2.80038i | 0.256767 | + | 0.165014i | ||||
\(289\) | 11.0576 | − | 12.7611i | 0.650446 | − | 0.750654i | ||||
\(290\) | 5.65214 | + | 1.65962i | 0.331905 | + | 0.0974561i | ||||
\(291\) | −15.2933 | + | 2.19885i | −0.896511 | + | 0.128899i | ||||
\(292\) | 1.38287 | − | 1.19827i | 0.0809265 | − | 0.0701232i | ||||
\(293\) | −8.28083 | − | 18.1325i | −0.483771 | − | 1.05931i | −0.981409 | − | 0.191927i | \(-0.938526\pi\) |
0.497638 | − | 0.867385i | \(-0.334201\pi\) | |||||||
\(294\) | 6.75794 | − | 0.839609i | 0.394131 | − | 0.0489670i | ||||
\(295\) | 8.09587 | + | 3.69726i | 0.471360 | + | 0.215263i | ||||
\(296\) | 3.74932 | + | 0.539071i | 0.217925 | + | 0.0313329i | ||||
\(297\) | −4.34930 | + | 2.79512i | −0.252372 | + | 0.162190i | ||||
\(298\) | 13.2716i | 0.768801i | ||||||||
\(299\) | 1.77160 | + | 5.70219i | 0.102454 | + | 0.329766i | ||||
\(300\) | 4.27949i | 0.247077i | ||||||||
\(301\) | 7.28388 | + | 2.21488i | 0.419836 | + | 0.127664i | ||||
\(302\) | 0.662950 | − | 4.61092i | 0.0381485 | − | 0.265329i | ||||
\(303\) | −5.21523 | + | 11.4198i | −0.299607 | + | 0.656048i | ||||
\(304\) | −4.74060 | + | 1.39197i | −0.271892 | + | 0.0798347i | ||||
\(305\) | −1.43768 | − | 3.14808i | −0.0823212 | − | 0.180258i | ||||
\(306\) | −0.215678 | − | 0.248905i | −0.0123295 | − | 0.0142290i | ||||
\(307\) | −19.6284 | + | 2.82214i | −1.12025 | + | 0.161068i | −0.677463 | − | 0.735557i | \(-0.736921\pi\) |
−0.442791 | + | 0.896625i | \(0.646012\pi\) | |||||||
\(308\) | 5.86066 | + | 13.1660i | 0.333942 | + | 0.750201i | ||||
\(309\) | −10.7958 | − | 9.35459i | −0.614150 | − | 0.532164i | ||||
\(310\) | 3.57929 | − | 5.56948i | 0.203290 | − | 0.316325i | ||||
\(311\) | 6.82734 | − | 10.6235i | 0.387143 | − | 0.602406i | −0.591912 | − | 0.806003i | \(-0.701627\pi\) |
0.979055 | + | 0.203596i | \(0.0652630\pi\) | |||||||
\(312\) | −2.42208 | + | 2.79522i | −0.137123 | + | 0.158248i | ||||
\(313\) | −1.94313 | − | 0.570555i | −0.109832 | − | 0.0322497i | 0.226355 | − | 0.974045i | \(-0.427319\pi\) |
−0.336187 | + | 0.941795i | \(0.609137\pi\) | |||||||
\(314\) | −0.804751 | − | 5.59717i | −0.0454147 | − | 0.315866i | ||||
\(315\) | −2.53290 | − | 0.389020i | −0.142713 | − | 0.0219188i | ||||
\(316\) | −3.12845 | + | 1.42872i | −0.175989 | + | 0.0803716i | ||||
\(317\) | −4.60149 | + | 1.35112i | −0.258445 | + | 0.0758864i | −0.408388 | − | 0.912808i | \(-0.633909\pi\) |
0.149943 | + | 0.988695i | \(0.452091\pi\) | |||||||
\(318\) | 3.21969 | − | 7.05015i | 0.180551 | − | 0.395353i | ||||
\(319\) | 31.9923 | + | 4.59980i | 1.79123 | + | 0.257540i | ||||
\(320\) | 5.38161 | − | 3.45855i | 0.300841 | − | 0.193339i | ||||
\(321\) | 2.19221 | 0.122357 | ||||||||
\(322\) | −12.2287 | − | 1.68293i | −0.681480 | − | 0.0937862i | ||||
\(323\) | −2.13670 | −0.118889 | ||||||||
\(324\) | −0.886326 | + | 0.569607i | −0.0492403 | + | 0.0316448i | ||||
\(325\) | −5.00576 | − | 0.719720i | −0.277670 | − | 0.0399229i | ||||
\(326\) | −6.54466 | + | 14.3308i | −0.362475 | + | 0.793710i | ||||
\(327\) | 0.156848 | − | 0.0460546i | 0.00867369 | − | 0.00254683i | ||||
\(328\) | −10.1985 | + | 4.65748i | −0.563116 | + | 0.257166i | ||||
\(329\) | −3.41426 | + | 22.2301i | −0.188234 | + | 1.22559i | ||||
\(330\) | 0.693293 | + | 4.82196i | 0.0381645 | + | 0.265440i | ||||
\(331\) | −24.4015 | − | 7.16492i | −1.34123 | − | 0.393820i | −0.469119 | − | 0.883135i | \(-0.655429\pi\) |
−0.872107 | + | 0.489315i | \(0.837247\pi\) | |||||||
\(332\) | 4.29573 | − | 4.95754i | 0.235759 | − | 0.272080i | ||||
\(333\) | −0.689371 | + | 1.07268i | −0.0377773 | + | 0.0587826i | ||||
\(334\) | −6.46635 | + | 10.0618i | −0.353823 | + | 0.550559i | ||||
\(335\) | −4.54106 | − | 3.93485i | −0.248105 | − | 0.214984i | ||||
\(336\) | −0.842266 | − | 1.89215i | −0.0459494 | − | 0.103225i | ||||
\(337\) | −32.7798 | + | 4.71303i | −1.78563 | + | 0.256735i | −0.954259 | − | 0.298982i | \(-0.903353\pi\) |
−0.831372 | + | 0.555717i | \(0.812444\pi\) | |||||||
\(338\) | 7.29443 | + | 8.41822i | 0.396764 | + | 0.457891i | ||||
\(339\) | 0.0132484 | + | 0.0290098i | 0.000719552 | + | 0.00157560i | ||||
\(340\) | 0.331478 | − | 0.0973306i | 0.0179769 | − | 0.00527849i | ||||
\(341\) | 15.0900 | − | 33.0424i | 0.817167 | − | 1.78935i | ||||
\(342\) | 0.873822 | − | 6.07757i | 0.0472509 | − | 0.328637i | ||||
\(343\) | 16.6182 | + | 8.17534i | 0.897297 | + | 0.441427i | ||||
\(344\) | − | 8.54809i | − | 0.460882i | ||||||
\(345\) | 4.25499 | + | 1.86336i | 0.229081 | + | 0.100320i | ||||
\(346\) | − | 3.86885i | − | 0.207991i | ||||||
\(347\) | 19.4952 | − | 12.5288i | 1.04656 | − | 0.672581i | 0.0999568 | − | 0.994992i | \(-0.468130\pi\) |
0.946600 | + | 0.322411i | \(0.104493\pi\) | |||||||
\(348\) | 6.51959 | + | 0.937375i | 0.349487 | + | 0.0502486i | ||||
\(349\) | 25.8617 | + | 11.8107i | 1.38435 | + | 0.632210i | 0.961705 | − | 0.274087i | \(-0.0883755\pi\) |
0.422642 | + | 0.906297i | \(0.361103\pi\) | |||||||
\(350\) | 5.73645 | − | 8.74052i | 0.306626 | − | 0.467201i | ||||
\(351\) | −0.517213 | − | 1.13254i | −0.0276068 | − | 0.0604505i | ||||
\(352\) | 20.2385 | − | 17.5368i | 1.07872 | − | 0.934712i | ||||
\(353\) | 8.11497 | − | 1.16676i | 0.431916 | − | 0.0621002i | 0.0770718 | − | 0.997026i | \(-0.475443\pi\) |
0.354844 | + | 0.934925i | \(0.384534\pi\) | |||||||
\(354\) | −8.57729 | − | 2.51852i | −0.455878 | − | 0.133858i | ||||
\(355\) | 3.80380 | − | 4.38982i | 0.201885 | − | 0.232987i | ||||
\(356\) | −8.26179 | − | 5.30953i | −0.437874 | − | 0.281405i | ||||
\(357\) | −0.118958 | − | 0.887766i | −0.00629591 | − | 0.0469856i | ||||
\(358\) | 12.2416 | − | 14.1276i | 0.646990 | − | 0.746666i | ||||
\(359\) | −7.05855 | + | 24.0392i | −0.372536 | + | 1.26874i | 0.533594 | + | 0.845741i | \(0.320841\pi\) |
−0.906130 | + | 0.423000i | \(0.860977\pi\) | |||||||
\(360\) | 0.409481 | + | 2.84800i | 0.0215815 | + | 0.150103i | ||||
\(361\) | −13.6438 | − | 15.7458i | −0.718094 | − | 0.828724i | ||||
\(362\) | 10.4533 | + | 22.8895i | 0.549411 | + | 1.20304i | ||||
\(363\) | 4.43141 | + | 15.0920i | 0.232588 | + | 0.792124i | ||||
\(364\) | −3.33923 | + | 0.945777i | −0.175023 | + | 0.0495722i | ||||
\(365\) | 1.66505 | + | 0.239398i | 0.0871525 | + | 0.0125306i | ||||
\(366\) | 1.87931 | + | 2.92427i | 0.0982332 | + | 0.152854i | ||||
\(367\) | 11.6881 | 0.610111 | 0.305056 | − | 0.952335i | \(-0.401325\pi\) | ||||
0.305056 | + | 0.952335i | \(0.401325\pi\) | |||||||
\(368\) | 0.592316 | + | 3.70725i | 0.0308766 | + | 0.193254i | ||||
\(369\) | − | 3.77414i | − | 0.196474i | ||||||
\(370\) | 0.649572 | + | 1.01075i | 0.0337697 | + | 0.0525466i | ||||
\(371\) | 17.8409 | − | 11.2252i | 0.926252 | − | 0.582783i | ||||
\(372\) | 3.07512 | − | 6.73358i | 0.159438 | − | 0.349120i | ||||
\(373\) | −7.16421 | − | 24.3991i | −0.370949 | − | 1.26334i | −0.907709 | − | 0.419600i | \(-0.862170\pi\) |
0.536760 | − | 0.843735i | \(-0.319648\pi\) | |||||||
\(374\) | −1.54887 | + | 0.707344i | −0.0800901 | + | 0.0365759i | ||||
\(375\) | −6.63327 | + | 5.74776i | −0.342540 | + | 0.296813i | ||||
\(376\) | 24.9956 | − | 3.59383i | 1.28905 | − | 0.185338i | ||||
\(377\) | −2.19291 | + | 7.46837i | −0.112941 | + | 0.384641i | ||||
\(378\) | 2.57378 | + | 0.0246996i | 0.132381 | + | 0.00127041i | ||||
\(379\) | 0.469050 | − | 0.729856i | 0.0240935 | − | 0.0374902i | −0.828998 | − | 0.559252i | \(-0.811089\pi\) |
0.853091 | + | 0.521762i | \(0.174725\pi\) | |||||||
\(380\) | 5.41821 | + | 3.48207i | 0.277948 | + | 0.178626i | ||||
\(381\) | −3.64577 | − | 3.15908i | −0.186779 | − | 0.161845i | ||||
\(382\) | 5.31855 | − | 18.1133i | 0.272121 | − | 0.926758i | ||||
\(383\) | −2.48829 | − | 17.3065i | −0.127146 | − | 0.884319i | −0.949147 | − | 0.314833i | \(-0.898051\pi\) |
0.822001 | − | 0.569486i | \(-0.192858\pi\) | |||||||
\(384\) | 2.97322 | − | 2.57631i | 0.151727 | − | 0.131472i | ||||
\(385\) | −5.61910 | + | 11.9981i | −0.286376 | + | 0.611478i | ||||
\(386\) | −23.5692 | + | 6.92054i | −1.19964 | + | 0.352246i | ||||
\(387\) | 2.61748 | + | 1.19536i | 0.133054 | + | 0.0607637i | ||||
\(388\) | −2.31666 | + | 16.1127i | −0.117611 | + | 0.817999i | ||||
\(389\) | −14.6755 | − | 22.8355i | −0.744077 | − | 1.15781i | −0.982431 | − | 0.186628i | \(-0.940244\pi\) |
0.238354 | − | 0.971178i | \(-0.423392\pi\) | |||||||
\(390\) | −1.17317 | −0.0594059 | ||||||||
\(391\) | −0.205910 | + | 1.61049i | −0.0104133 | + | 0.0814458i | ||||
\(392\) | 3.35384 | − | 20.5223i | 0.169395 | − | 1.03653i | ||||
\(393\) | 2.06966 | − | 1.33009i | 0.104400 | − | 0.0670941i | ||||
\(394\) | 1.10537 | − | 7.68799i | 0.0556875 | − | 0.387315i | ||||
\(395\) | −2.87604 | − | 1.31344i | −0.144709 | − | 0.0660865i | ||||
\(396\) | 1.53460 | + | 5.22638i | 0.0771167 | + | 0.262635i | ||||
\(397\) | 19.4150 | − | 8.86654i | 0.974411 | − | 0.444999i | 0.136401 | − | 0.990654i | \(-0.456446\pi\) |
0.838010 | + | 0.545655i | \(0.183719\pi\) | |||||||
\(398\) | 14.7559 | + | 17.0293i | 0.739649 | + | 0.853600i | ||||
\(399\) | 11.0558 | − | 12.5144i | 0.553484 | − | 0.626505i | ||||
\(400\) | −3.05091 | − | 0.895827i | −0.152545 | − | 0.0447913i | ||||
\(401\) | −9.03438 | − | 7.82834i | −0.451156 | − | 0.390928i | 0.399431 | − | 0.916763i | \(-0.369208\pi\) |
−0.850587 | + | 0.525835i | \(0.823753\pi\) | |||||||
\(402\) | 5.07712 | + | 3.26286i | 0.253224 | + | 0.162737i | ||||
\(403\) | 7.35915 | + | 4.72944i | 0.366585 | + | 0.235590i | ||||
\(404\) | 9.99622 | + | 8.66177i | 0.497330 | + | 0.430939i | ||||
\(405\) | −0.929338 | − | 0.272878i | −0.0461792 | − | 0.0135594i | ||||
\(406\) | −12.0592 | − | 10.6537i | −0.598490 | − | 0.528734i | ||||
\(407\) | 4.31703 | + | 4.98212i | 0.213987 | + | 0.246955i | ||||
\(408\) | −0.914810 | + | 0.417780i | −0.0452899 | + | 0.0206832i | ||||
\(409\) | −10.5304 | − | 35.8631i | −0.520693 | − | 1.77332i | −0.627038 | − | 0.778989i | \(-0.715733\pi\) |
0.106345 | − | 0.994329i | \(-0.466085\pi\) | |||||||
\(410\) | −3.23488 | − | 1.47732i | −0.159759 | − | 0.0729595i | ||||
\(411\) | −0.103687 | + | 0.721159i | −0.00511450 | + | 0.0355721i | ||||
\(412\) | −12.6610 | + | 8.13676i | −0.623765 | + | 0.400869i | ||||
\(413\) | −15.7437 | − | 18.5255i | −0.774698 | − | 0.911579i | ||||
\(414\) | −4.49660 | − | 1.24430i | −0.220996 | − | 0.0611542i | ||||
\(415\) | 6.03051 | 0.296026 | ||||||||
\(416\) | 3.48662 | + | 5.42528i | 0.170945 | + | 0.265996i | ||||
\(417\) | −2.53485 | + | 17.6303i | −0.124132 | + | 0.863359i | ||||
\(418\) | −28.8756 | − | 13.1870i | −1.41235 | − | 0.644999i | ||||
\(419\) | 6.94966 | − | 2.04061i | 0.339513 | − | 0.0996901i | −0.107531 | − | 0.994202i | \(-0.534295\pi\) |
0.447045 | + | 0.894512i | \(0.352476\pi\) | |||||||
\(420\) | −1.14509 | + | 2.44504i | −0.0558749 | + | 0.119306i | ||||
\(421\) | −27.8418 | + | 24.1251i | −1.35693 | + | 1.17578i | −0.389976 | + | 0.920825i | \(0.627517\pi\) |
−0.966952 | + | 0.254960i | \(0.917938\pi\) | |||||||
\(422\) | −2.84370 | − | 19.7784i | −0.138429 | − | 0.962796i | ||||
\(423\) | −2.39493 | + | 8.15638i | −0.116445 | + | 0.396577i | ||||
\(424\) | −17.8862 | − | 15.4985i | −0.868633 | − | 0.752675i | ||||
\(425\) | −1.15682 | − | 0.743445i | −0.0561141 | − | 0.0360624i | ||||
\(426\) | −3.15419 | + | 4.90801i | −0.152821 | + | 0.237794i | ||||
\(427\) | −0.0907185 | + | 9.45315i | −0.00439018 | + | 0.457470i | ||||
\(428\) | 0.650708 | − | 2.21611i | 0.0314531 | − | 0.107120i | ||||
\(429\) | −6.37143 | + | 0.916073i | −0.307615 | + | 0.0442284i | ||||
\(430\) | 2.04913 | − | 1.77558i | 0.0988179 | − | 0.0856262i | ||||
\(431\) | −8.65930 | + | 3.95457i | −0.417104 | + | 0.190485i | −0.612901 | − | 0.790159i | \(-0.709998\pi\) |
0.195798 | + | 0.980644i | \(0.437270\pi\) | |||||||
\(432\) | −0.220546 | − | 0.751109i | −0.0106110 | − | 0.0361378i | ||||
\(433\) | 4.11687 | − | 9.01469i | 0.197844 | − | 0.433218i | −0.784543 | − | 0.620074i | \(-0.787102\pi\) |
0.982387 | + | 0.186856i | \(0.0598298\pi\) | |||||||
\(434\) | −15.3067 | + | 9.63074i | −0.734746 | + | 0.462290i | ||||
\(435\) | 3.27369 | + | 5.09396i | 0.156961 | + | 0.244237i | ||||
\(436\) | − | 0.172228i | − | 0.00824820i | ||||||
\(437\) | −25.2047 | + | 16.7606i | −1.20571 | + | 0.801768i | ||||
\(438\) | −1.68959 | −0.0807315 | ||||||||
\(439\) | −9.42744 | − | 14.6694i | −0.449947 | − | 0.700131i | 0.539985 | − | 0.841675i | \(-0.318430\pi\) |
−0.989932 | + | 0.141543i | \(0.954794\pi\) | |||||||
\(440\) | 14.7242 | + | 2.11702i | 0.701950 | + | 0.100925i | ||||
\(441\) | 5.81506 | + | 3.89680i | 0.276908 | + | 0.185562i | ||||
\(442\) | −0.115526 | − | 0.393446i | −0.00549503 | − | 0.0187143i | ||||
\(443\) | 3.14604 | + | 6.88886i | 0.149473 | + | 0.327299i | 0.969526 | − | 0.244987i | \(-0.0787837\pi\) |
−0.820054 | + | 0.572287i | \(0.806056\pi\) | |||||||
\(444\) | 0.879751 | + | 1.01529i | 0.0417511 | + | 0.0481834i | ||||
\(445\) | −1.28488 | − | 8.93654i | −0.0609092 | − | 0.423633i | ||||
\(446\) | 8.05386 | − | 27.4289i | 0.381361 | − | 1.29880i | ||||
\(447\) | −8.93365 | + | 10.3100i | −0.422547 | + | 0.487645i | ||||
\(448\) | −17.3196 | + | 2.32077i | −0.818275 | + | 0.109646i | ||||
\(449\) | 24.3369 | + | 15.6403i | 1.14853 | + | 0.738114i | 0.969345 | − | 0.245702i | \(-0.0790186\pi\) |
0.179182 | + | 0.983816i | \(0.442655\pi\) | |||||||
\(450\) | 2.58772 | − | 2.98639i | 0.121986 | − | 0.140780i | ||||
\(451\) | −18.7220 | − | 5.49727i | −0.881583 | − | 0.258856i | ||||
\(452\) | 0.0332585 | − | 0.00478186i | 0.00156435 | − | 0.000224920i | ||||
\(453\) | 3.61881 | − | 3.13572i | 0.170027 | − | 0.147329i | ||||
\(454\) | −10.1172 | − | 22.1535i | −0.474823 | − | 1.03972i | ||||
\(455\) | −2.66740 | − | 1.75063i | −0.125050 | − | 0.0820708i | ||||
\(456\) | −17.0548 | − | 7.78868i | −0.798666 | − | 0.364739i | ||||
\(457\) | 14.7814 | + | 2.12524i | 0.691444 | + | 0.0994146i | 0.479074 | − | 0.877775i | \(-0.340973\pi\) |
0.212370 | + | 0.977189i | \(0.431882\pi\) | |||||||
\(458\) | 16.3458 | − | 10.5048i | 0.763790 | − | 0.490858i | ||||
\(459\) | − | 0.338543i | − | 0.0158018i | ||||||
\(460\) | 3.14666 | − | 3.74828i | 0.146714 | − | 0.174764i | ||||
\(461\) | − | 28.9108i | − | 1.34651i | −0.739411 | − | 0.673254i | \(-0.764896\pi\) | ||
0.739411 | − | 0.673254i | \(-0.235104\pi\) | |||||||
\(462\) | 3.87140 | − | 12.7315i | 0.180114 | − | 0.592324i | ||||
\(463\) | −0.659213 | + | 4.58493i | −0.0306362 | + | 0.213080i | −0.999389 | − | 0.0349483i | \(-0.988873\pi\) |
0.968753 | + | 0.248028i | \(0.0797824\pi\) | |||||||
\(464\) | −2.03301 | + | 4.45168i | −0.0943803 | + | 0.206664i | ||||
\(465\) | 6.52961 | − | 1.91727i | 0.302803 | − | 0.0889111i | ||||
\(466\) | 3.24700 | + | 7.10993i | 0.150414 | + | 0.329361i | ||||
\(467\) | −21.8511 | − | 25.2175i | −1.01115 | − | 1.16693i | −0.985916 | − | 0.167244i | \(-0.946513\pi\) |
−0.0252308 | − | 0.999682i | \(-0.508032\pi\) | |||||||
\(468\) | −1.29841 | + | 0.186683i | −0.0600189 | + | 0.00862941i | ||||
\(469\) | 6.67476 | + | 14.9948i | 0.308212 | + | 0.692397i | ||||
\(470\) | 6.05352 | + | 5.24541i | 0.279228 | + | 0.241953i | ||||
\(471\) | 3.14252 | − | 4.88985i | 0.144800 | − | 0.225313i | ||||
\(472\) | −14.7580 | + | 22.9638i | −0.679290 | + | 1.05700i | ||||
\(473\) | 9.74224 | − | 11.2431i | 0.447949 | − | 0.516960i | ||||
\(474\) | 3.04706 | + | 0.894699i | 0.139956 | + | 0.0410949i | ||||
\(475\) | −3.64843 | − | 25.3754i | −0.167402 | − | 1.16430i | ||||
\(476\) | −0.932753 | − | 0.143259i | −0.0427527 | − | 0.00656625i | ||||
\(477\) | 7.24696 | − | 3.30957i | 0.331815 | − | 0.151535i | ||||
\(478\) | −7.87214 | + | 2.31147i | −0.360063 | + | 0.105724i | ||||
\(479\) | −10.4960 | + | 22.9830i | −0.479574 | + | 1.05012i | 0.503006 | + | 0.864283i | \(0.332227\pi\) |
−0.982580 | + | 0.185838i | \(0.940500\pi\) | |||||||
\(480\) | 4.96589 | + | 0.713987i | 0.226661 | + | 0.0325889i | ||||
\(481\) | −1.33555 | + | 0.858303i | −0.0608956 | + | 0.0391352i | ||||
\(482\) | −8.56701 | −0.390217 | ||||||||
\(483\) | −8.36699 | − | 9.53905i | −0.380711 | − | 0.434042i | ||||
\(484\) | 16.5719 | 0.753266 | ||||||||
\(485\) | −12.5894 | + | 8.09070i | −0.571654 | + | 0.367380i | ||||
\(486\) | 0.962940 | + | 0.138450i | 0.0436799 | + | 0.00628022i | ||||
\(487\) | −5.22273 | + | 11.4362i | −0.236665 | + | 0.518223i | −0.990279 | − | 0.139093i | \(-0.955581\pi\) |
0.753615 | + | 0.657316i | \(0.228308\pi\) | |||||||
\(488\) | 10.1845 | − | 2.99045i | 0.461032 | − | 0.135371i | ||||
\(489\) | −14.7309 | + | 6.72736i | −0.666153 | + | 0.304222i | ||||
\(490\) | 5.61622 | − | 3.45885i | 0.253715 | − | 0.156255i | ||||
\(491\) | −5.47347 | − | 38.0688i | −0.247014 | − | 1.71802i | −0.615287 | − | 0.788303i | \(-0.710960\pi\) |
0.368273 | − | 0.929718i | \(-0.379949\pi\) | |||||||
\(492\) | −3.81527 | − | 1.12027i | −0.172006 | − | 0.0505055i | ||||
\(493\) | −1.38599 | + | 1.59952i | −0.0624218 | + | 0.0720386i | ||||
\(494\) | 4.13304 | − | 6.43113i | 0.185954 | − | 0.289350i | ||||
\(495\) | −2.70728 | + | 4.21261i | −0.121683 | + | 0.189343i | ||||
\(496\) | 4.15674 | + | 3.60183i | 0.186643 | + | 0.161727i | ||||
\(497\) | −14.4954 | + | 6.45244i | −0.650208 | + | 0.289432i | ||||
\(498\) | −5.99544 | + | 0.862014i | −0.268662 | + | 0.0386278i | ||||
\(499\) | −2.60039 | − | 3.00101i | −0.116410 | − | 0.134344i | 0.694554 | − | 0.719441i | \(-0.255602\pi\) |
−0.810963 | + | 0.585097i | \(0.801056\pi\) | |||||||
\(500\) | 3.84148 | + | 8.41166i | 0.171796 | + | 0.376181i | ||||
\(501\) | −11.7964 | + | 3.46374i | −0.527025 | + | 0.154748i | ||||
\(502\) | 8.37149 | − | 18.3310i | 0.373638 | − | 0.818153i | ||||
\(503\) | −0.603536 | + | 4.19768i | −0.0269103 | + | 0.187166i | −0.998843 | − | 0.0480946i | \(-0.984685\pi\) |
0.971932 | + | 0.235260i | \(0.0755942\pi\) | |||||||
\(504\) | 2.28657 | − | 7.51964i | 0.101852 | − | 0.334951i | ||||
\(505\) | 12.1597i | 0.541100i | ||||||||
\(506\) | −12.7221 | + | 20.4934i | −0.565565 | + | 0.911044i | ||||
\(507\) | 11.4498i | 0.508506i | ||||||||
\(508\) | −4.27568 | + | 2.74781i | −0.189703 | + | 0.121914i | ||||
\(509\) | −4.58425 | − | 0.659116i | −0.203193 | − | 0.0292148i | 0.0399665 | − | 0.999201i | \(-0.487275\pi\) |
−0.243160 | + | 0.969986i | \(0.578184\pi\) | |||||||
\(510\) | −0.290171 | − | 0.132517i | −0.0128490 | − | 0.00586794i | ||||
\(511\) | −3.84155 | − | 2.52123i | −0.169940 | − | 0.111533i | ||||
\(512\) | 3.61650 | + | 7.91904i | 0.159828 | + | 0.349975i | ||||
\(513\) | 4.76989 | − | 4.13313i | 0.210596 | − | 0.182482i | ||||
\(514\) | 21.1347 | − | 3.03871i | 0.932212 | − | 0.134032i | ||||
\(515\) | −13.2755 | − | 3.89803i | −0.584987 | − | 0.171768i | ||||
\(516\) | 1.98533 | − | 2.29119i | 0.0873993 | − | 0.100864i | ||||
\(517\) | 36.9722 | + | 23.7606i | 1.62603 | + | 1.04499i | ||||
\(518\) | −0.435879 | − | 3.25291i | −0.0191514 | − | 0.142924i | ||||
\(519\) | 2.60428 | − | 3.00550i | 0.114315 | − | 0.131927i | ||||
\(520\) | −1.00927 | + | 3.43726i | −0.0442595 | + | 0.150734i | ||||
\(521\) | 0.438031 | + | 3.04657i | 0.0191905 | + | 0.133473i | 0.997164 | − | 0.0752547i | \(-0.0239770\pi\) |
−0.977974 | + | 0.208727i | \(0.933068\pi\) | |||||||
\(522\) | −3.98280 | − | 4.59639i | −0.174322 | − | 0.201179i | ||||
\(523\) | −0.590199 | − | 1.29236i | −0.0258076 | − | 0.0565108i | 0.896289 | − | 0.443470i | \(-0.146253\pi\) |
−0.922097 | + | 0.386959i | \(0.873525\pi\) | |||||||
\(524\) | −0.730256 | − | 2.48703i | −0.0319014 | − | 0.108646i | ||||
\(525\) | 10.3400 | − | 2.92860i | 0.451273 | − | 0.127815i | ||||
\(526\) | −9.14624 | − | 1.31503i | −0.398795 | − | 0.0573381i | ||||
\(527\) | 1.28599 | + | 2.00103i | 0.0560184 | + | 0.0871664i | ||||
\(528\) | −4.04719 | −0.176131 | ||||||||
\(529\) | 10.2039 | + | 20.6126i | 0.443649 | + | 0.896200i | ||||
\(530\) | − | 7.50696i | − | 0.326082i | ||||||
\(531\) | −4.96792 | − | 7.73024i | −0.215590 | − | 0.335464i | ||||
\(532\) | −9.36916 | − | 14.8910i | −0.406205 | − | 0.645606i | ||||
\(533\) | 1.95203 | − | 4.27435i | 0.0845519 | − | 0.185143i | ||||
\(534\) | 2.55482 | + | 8.70092i | 0.110558 | + | 0.376525i | ||||
\(535\) | 1.93143 | − | 0.882057i | 0.0835032 | − | 0.0381346i | ||||
\(536\) | 13.9276 | − | 12.0684i | 0.601582 | − | 0.521274i | ||||
\(537\) | 19.0197 | − | 2.73462i | 0.820762 | − | 0.118008i | ||||
\(538\) | −2.03249 | + | 6.92203i | −0.0876270 | + | 0.298430i | ||||
\(539\) | 27.8005 | − | 23.1702i | 1.19745 | − | 0.998013i | ||||
\(540\) | −0.551705 | + | 0.858470i | −0.0237416 | + | 0.0369427i | ||||
\(541\) | −22.7952 | − | 14.6496i | −0.980040 | − | 0.629834i | −0.0505660 | − | 0.998721i | \(-0.516103\pi\) |
−0.929474 | + | 0.368887i | \(0.879739\pi\) | |||||||
\(542\) | 12.8156 | + | 11.1048i | 0.550479 | + | 0.476993i | ||||
\(543\) | −7.28726 | + | 24.8181i | −0.312726 | + | 1.06505i | ||||
\(544\) | 0.249558 | + | 1.73572i | 0.0106997 | + | 0.0744182i | ||||
\(545\) | 0.119659 | − | 0.103685i | 0.00512563 | − | 0.00444139i | ||||
\(546\) | 2.90213 | + | 1.35917i | 0.124200 | + | 0.0581670i | ||||
\(547\) | 33.2660 | − | 9.76778i | 1.42235 | − | 0.417640i | 0.522053 | − | 0.852913i | \(-0.325166\pi\) |
0.900298 | + | 0.435273i | \(0.143348\pi\) | |||||||
\(548\) | 0.698242 | + | 0.318877i | 0.0298274 | + | 0.0136217i | ||||
\(549\) | −0.508508 | + | 3.53675i | −0.0217026 | + | 0.150945i | ||||
\(550\) | −11.0451 | − | 17.1865i | −0.470964 | − | 0.732835i | ||||
\(551\) | −39.4573 | −1.68094 | ||||||||
\(552\) | −7.51406 | + | 12.1041i | −0.319820 | + | 0.515183i | ||||
\(553\) | 5.59292 | + | 6.58113i | 0.237835 | + | 0.279858i | ||||
\(554\) | 15.3493 | − | 9.86442i | 0.652131 | − | 0.419099i | ||||
\(555\) | −0.175763 | + | 1.22246i | −0.00746070 | + | 0.0518903i | ||||
\(556\) | 17.0701 | + | 7.79563i | 0.723932 | + | 0.330608i | ||||
\(557\) | 2.97061 | + | 10.1170i | 0.125869 | + | 0.428669i | 0.998182 | − | 0.0602788i | \(-0.0191990\pi\) |
−0.872313 | + | 0.488948i | \(0.837381\pi\) | |||||||
\(558\) | −6.21758 | + | 2.83948i | −0.263211 | + | 0.120205i | ||||
\(559\) | 2.34614 | + | 2.70759i | 0.0992311 | + | 0.114519i | ||||
\(560\) | −1.50340 | − | 1.32817i | −0.0635301 | − | 0.0561255i | ||||
\(561\) | −1.67938 | − | 0.493109i | −0.0709033 | − | 0.0208191i | ||||
\(562\) | 3.93646 | + | 3.41096i | 0.166050 | + | 0.143883i | ||||
\(563\) | −6.97286 | − | 4.48119i | −0.293871 | − | 0.188859i | 0.385395 | − | 0.922752i | \(-0.374065\pi\) |
−0.679266 | + | 0.733892i | \(0.737702\pi\) | |||||||
\(564\) | 7.53441 | + | 4.84207i | 0.317256 | + | 0.203888i | ||||
\(565\) | 0.0233448 | + | 0.0202284i | 0.000982122 | + | 0.000851013i | ||||
\(566\) | −6.66502 | − | 1.95703i | −0.280152 | − | 0.0822600i | ||||
\(567\) | 1.98281 | + | 1.75171i | 0.0832701 | + | 0.0735648i | ||||
\(568\) | 11.6664 | + | 13.4637i | 0.489511 | + | 0.564926i | ||||
\(569\) | 12.8702 | − | 5.87761i | 0.539546 | − | 0.246402i | −0.126953 | − | 0.991909i | \(-0.540520\pi\) |
0.666498 | + | 0.745507i | \(0.267792\pi\) | |||||||
\(570\) | −1.67549 | − | 5.70619i | −0.0701785 | − | 0.239006i | ||||
\(571\) | 13.7185 | + | 6.26503i | 0.574101 | + | 0.262183i | 0.681239 | − | 0.732061i | \(-0.261441\pi\) |
−0.107138 | + | 0.994244i | \(0.534169\pi\) | |||||||
\(572\) | −0.965154 | + | 6.71279i | −0.0403551 | + | 0.280676i | ||||
\(573\) | 16.3245 | − | 10.4911i | 0.681967 | − | 0.438274i | ||||
\(574\) | 6.29073 | + | 7.40224i | 0.262570 | + | 0.308964i | ||||
\(575\) | −19.4777 | + | 0.304534i | −0.812274 | + | 0.0126999i | ||||
\(576\) | −6.60471 | −0.275196 | ||||||||
\(577\) | 16.1699 | + | 25.1609i | 0.673162 | + | 1.04746i | 0.994923 | + | 0.100640i | \(0.0320889\pi\) |
−0.321761 | + | 0.946821i | \(0.604275\pi\) | |||||||
\(578\) | −2.33778 | + | 16.2596i | −0.0972389 | + | 0.676311i | ||||
\(579\) | −22.9682 | − | 10.4892i | −0.954524 | − | 0.435917i | ||||
\(580\) | 6.12121 | − | 1.79735i | 0.254169 | − | 0.0746308i | ||||
\(581\) | −14.9179 | − | 6.98658i | −0.618901 | − | 0.289852i | ||||
\(582\) | 11.3597 | − | 9.84321i | 0.470873 | − | 0.408014i | ||||
\(583\) | −5.86182 | − | 40.7698i | −0.242772 | − | 1.68851i | ||||
\(584\) | −1.45354 | + | 4.95029i | −0.0601478 | + | 0.204845i | ||||
\(585\) | −0.911375 | − | 0.789711i | −0.0376807 | − | 0.0326505i | ||||
\(586\) | 16.3140 | + | 10.4844i | 0.673926 | + | 0.433106i | ||||
\(587\) | −16.0655 | + | 24.9984i | −0.663094 | + | 1.03179i | 0.332951 | + | 0.942944i | \(0.391955\pi\) |
−0.996045 | + | 0.0888498i | \(0.971681\pi\) | |||||||
\(588\) | 5.66535 | − | 4.72177i | 0.233635 | − | 0.194722i | ||||
\(589\) | −12.4934 | + | 42.5486i | −0.514782 | + | 1.75319i | ||||
\(590\) | −8.57033 | + | 1.23223i | −0.352835 | + | 0.0507300i | ||||
\(591\) | 6.03381 | − | 5.22832i | 0.248198 | − | 0.215064i | ||||
\(592\) | −0.907969 | + | 0.414656i | −0.0373173 | + | 0.0170422i | ||||
\(593\) | 8.18674 | + | 27.8815i | 0.336189 | + | 1.14495i | 0.938092 | + | 0.346385i | \(0.112591\pi\) |
−0.601903 | + | 0.798569i | \(0.705591\pi\) | |||||||
\(594\) | 2.08938 | − | 4.57510i | 0.0857282 | − | 0.187719i | ||||
\(595\) | −0.462008 | − | 0.734297i | −0.0189405 | − | 0.0301033i | ||||
\(596\) | 7.77061 | + | 12.0913i | 0.318297 | + | 0.495279i | ||||
\(597\) | 23.1620i | 0.947957i | ||||||||
\(598\) | −4.44900 | − | 3.73492i | −0.181933 | − | 0.152732i | ||||
\(599\) | 11.0743 | 0.452484 | 0.226242 | − | 0.974071i | \(-0.427356\pi\) | ||||
0.226242 | + | 0.974071i | \(0.427356\pi\) | |||||||
\(600\) | −6.52358 | − | 10.1509i | −0.266324 | − | 0.414408i | ||||
\(601\) | 2.96022 | + | 0.425615i | 0.120750 | + | 0.0173612i | 0.202425 | − | 0.979298i | \(-0.435118\pi\) |
−0.0816749 | + | 0.996659i | \(0.526027\pi\) | |||||||
\(602\) | −7.12612 | + | 2.01834i | −0.290439 | + | 0.0822615i | ||||
\(603\) | 1.74777 | + | 5.95236i | 0.0711748 | + | 0.242399i | ||||
\(604\) | −2.09574 | − | 4.58903i | −0.0852744 | − | 0.186725i | ||||
\(605\) | 9.97666 | + | 11.5137i | 0.405609 | + | 0.468098i | ||||
\(606\) | −1.73814 | − | 12.0890i | −0.0706070 | − | 0.491082i | ||||
\(607\) | −4.30067 | + | 14.6467i | −0.174559 | + | 0.594493i | 0.825010 | + | 0.565119i | \(0.191170\pi\) |
−0.999568 | + | 0.0293742i | \(0.990649\pi\) | |||||||
\(608\) | −21.4086 | + | 24.7068i | −0.868231 | + | 1.00199i | ||||
\(609\) | −2.19673 | − | 16.3939i | −0.0890158 | − | 0.664313i | ||||
\(610\) | 2.83236 | + | 1.82025i | 0.114679 | + | 0.0736998i | ||||
\(611\) | −6.93094 | + | 7.99873i | −0.280396 | + | 0.323594i | ||||
\(612\) | −0.342233 | − | 0.100489i | −0.0138340 | − | 0.00406202i | ||||
\(613\) | −17.9531 | + | 2.58127i | −0.725119 | + | 0.104256i | −0.494984 | − | 0.868902i | \(-0.664826\pi\) |
−0.230135 | + | 0.973159i | \(0.573917\pi\) | |||||||
\(614\) | 14.5797 | − | 12.6334i | 0.588389 | − | 0.509842i | ||||
\(615\) | −1.51856 | − | 3.32518i | −0.0612342 | − | 0.134084i | ||||
\(616\) | −33.9714 | − | 22.2956i | −1.36875 | − | 0.898315i | ||||
\(617\) | −16.1002 | − | 7.35273i | −0.648171 | − | 0.296010i | 0.0640694 | − | 0.997945i | \(-0.479592\pi\) |
−0.712240 | + | 0.701936i | \(0.752319\pi\) | |||||||
\(618\) | 13.7555 | + | 1.97774i | 0.553326 | + | 0.0795563i | ||||
\(619\) | 14.6033 | − | 9.38496i | 0.586956 | − | 0.377213i | −0.213198 | − | 0.977009i | \(-0.568388\pi\) |
0.800153 | + | 0.599796i | \(0.204751\pi\) | |||||||
\(620\) | − | 7.16988i | − | 0.287949i | ||||||
\(621\) | −2.65558 | − | 3.99348i | −0.106565 | − | 0.160253i | ||||
\(622\) | 12.2853i | 0.492595i | ||||||||
\(623\) | −7.17487 | + | 23.5953i | −0.287455 | + | 0.945327i | ||||
\(624\) | 0.138707 | − | 0.964729i | 0.00555273 | − | 0.0386201i | ||||
\(625\) | 4.90527 | − | 10.7410i | 0.196211 | − | 0.429642i | ||||
\(626\) | 1.89036 | − | 0.555060i | 0.0755540 | − | 0.0221847i | ||||
\(627\) | −13.5552 | − | 29.6817i | −0.541341 | − | 1.18537i | ||||
\(628\) | −4.01037 | − | 4.62821i | −0.160031 | − | 0.184686i | ||||
\(629\) | −0.427282 | + | 0.0614339i | −0.0170369 | + | 0.00244953i | ||||
\(630\) | 2.27755 | − | 1.01382i | 0.0907399 | − | 0.0403917i | ||||
\(631\) | 15.4849 | + | 13.4178i | 0.616445 | + | 0.534152i | 0.906146 | − | 0.422965i | \(-0.139011\pi\) |
−0.289702 | + | 0.957117i | \(0.593556\pi\) | |||||||
\(632\) | 5.24273 | − | 8.15785i | 0.208545 | − | 0.324502i | ||||
\(633\) | 11.1045 | − | 17.2790i | 0.441365 | − | 0.686778i | ||||
\(634\) | 3.05526 | − | 3.52595i | 0.121340 | − | 0.140034i | ||||
\(635\) | −4.48317 | − | 1.31638i | −0.177909 | − | 0.0522389i | ||||
\(636\) | −1.19456 | − | 8.30832i | −0.0473672 | − | 0.329446i | ||||
\(637\) | 4.57030 | + | 7.42091i | 0.181082 | + | 0.294027i | ||||
\(638\) | −28.6021 | + | 13.0621i | −1.13237 | + | 0.517134i | ||||
\(639\) | −5.75411 | + | 1.68956i | −0.227629 | + | 0.0668379i | ||||
\(640\) | 1.58294 | − | 3.46615i | 0.0625711 | − | 0.137012i | ||||
\(641\) | −30.4745 | − | 4.38157i | −1.20367 | − | 0.173062i | −0.488849 | − | 0.872368i | \(-0.662583\pi\) |
−0.714822 | + | 0.699307i | \(0.753492\pi\) | |||||||
\(642\) | −1.79412 | + | 1.15301i | −0.0708083 | + | 0.0455057i | ||||
\(643\) | 21.0898 | 0.831700 | 0.415850 | − | 0.909433i | \(-0.363484\pi\) | ||||
0.415850 | + | 0.909433i | \(0.363484\pi\) | |||||||
\(644\) | −12.1266 | + | 5.62675i | −0.477854 | + | 0.221725i | ||||
\(645\) | 2.78708 | 0.109741 | ||||||||
\(646\) | 1.74869 | − | 1.12382i | 0.0688014 | − | 0.0442160i | ||||
\(647\) | 13.9123 | + | 2.00028i | 0.546948 | + | 0.0786393i | 0.410249 | − | 0.911973i | \(-0.365442\pi\) |
0.136699 | + | 0.990613i | \(0.456351\pi\) | |||||||
\(648\) | 1.23405 | − | 2.70220i | 0.0484782 | − | 0.106152i | ||||
\(649\) | −45.5827 | + | 13.3843i | −1.78928 | + | 0.525379i | ||||
\(650\) | 4.47529 | − | 2.04380i | 0.175535 | − | 0.0801643i | ||||
\(651\) | −18.3738 | − | 2.82198i | −0.720127 | − | 0.110602i | ||||
\(652\) | 2.42817 | + | 16.8883i | 0.0950945 | + | 0.661397i | ||||
\(653\) | 41.1077 | + | 12.0703i | 1.60867 | + | 0.472348i | 0.957941 | − | 0.286964i | \(-0.0926460\pi\) |
0.650727 | + | 0.759312i | \(0.274464\pi\) | |||||||
\(654\) | −0.104142 | + | 0.120187i | −0.00407229 | + | 0.00469967i | ||||
\(655\) | 1.28829 | − | 2.00461i | 0.0503375 | − | 0.0783267i | ||||
\(656\) | 1.59730 | − | 2.48545i | 0.0623642 | − | 0.0970406i | ||||
\(657\) | −1.31255 | − | 1.13733i | −0.0512074 | − | 0.0443715i | ||||
\(658\) | −8.89787 | − | 19.9891i | −0.346875 | − | 0.779255i | ||||
\(659\) | −23.6940 | + | 3.40668i | −0.922987 | + | 0.132706i | −0.587394 | − | 0.809301i | \(-0.699846\pi\) |
−0.335594 | + | 0.942007i | \(0.608937\pi\) | |||||||
\(660\) | 3.45493 | + | 3.98721i | 0.134483 | + | 0.155202i | ||||
\(661\) | 15.1356 | + | 33.1423i | 0.588706 | + | 1.28909i | 0.936221 | + | 0.351413i | \(0.114299\pi\) |
−0.347514 | + | 0.937675i | \(0.612974\pi\) | |||||||
\(662\) | 23.7388 | − | 6.97034i | 0.922634 | − | 0.270910i | ||||
\(663\) | 0.175099 | − | 0.383413i | 0.00680028 | − | 0.0148905i | ||||
\(664\) | −2.63223 | + | 18.3075i | −0.102150 | + | 0.710471i | ||||
\(665\) | 4.70539 | − | 15.4742i | 0.182467 | − | 0.600063i | ||||
\(666\) | − | 1.24047i | − | 0.0480673i | ||||||
\(667\) | −3.80242 | + | 29.7399i | −0.147230 | + | 1.15153i | ||||
\(668\) | 12.9531i | 0.501171i | ||||||||
\(669\) | 24.7202 | − | 15.8867i | 0.955737 | − | 0.614215i | ||||
\(670\) | 5.78601 | + | 0.831902i | 0.223533 | + | 0.0321392i | ||||
\(671\) | 16.8037 | + | 7.67401i | 0.648701 | + | 0.296252i | ||||
\(672\) | −11.4572 | − | 7.51940i | −0.441970 | − | 0.290067i | ||||
\(673\) | 3.96637 | + | 8.68515i | 0.152892 | + | 0.334788i | 0.970543 | − | 0.240927i | \(-0.0774513\pi\) |
−0.817651 | + | 0.575714i | \(0.804724\pi\) | |||||||
\(674\) | 24.3484 | − | 21.0980i | 0.937864 | − | 0.812664i | ||||
\(675\) | 4.02052 | − | 0.578064i | 0.154750 | − | 0.0222497i | ||||
\(676\) | 11.5747 | + | 3.39862i | 0.445179 | + | 0.130716i | ||||
\(677\) | 9.05646 | − | 10.4517i | 0.348068 | − | 0.401692i | −0.554539 | − | 0.832158i | \(-0.687105\pi\) |
0.902607 | + | 0.430466i | \(0.141651\pi\) | |||||||
\(678\) | −0.0261005 | − | 0.0167738i | −0.00100238 | − | 0.000644193i | ||||
\(679\) | 40.5163 | − | 5.42906i | 1.55487 | − | 0.208348i | ||||
\(680\) | −0.637891 | + | 0.736165i | −0.0244620 | + | 0.0282306i | ||||
\(681\) | 7.05296 | − | 24.0202i | 0.270270 | − | 0.920456i | ||||
\(682\) | 5.02920 | + | 34.9788i | 0.192578 | + | 1.33941i | ||||
\(683\) | 28.3148 | + | 32.6770i | 1.08344 | + | 1.25035i | 0.966350 | + | 0.257230i | \(0.0828097\pi\) |
0.117086 | + | 0.993122i | \(0.462645\pi\) | |||||||
\(684\) | −2.76235 | − | 6.04871i | −0.105621 | − | 0.231278i | ||||
\(685\) | 0.198812 | + | 0.677092i | 0.00759622 | + | 0.0258704i | ||||
\(686\) | −17.9003 | + | 2.04972i | −0.683437 | + | 0.0782585i | ||||
\(687\) | 19.7694 | + | 2.84241i | 0.754250 | + | 0.108445i | ||||
\(688\) | 1.21783 | + | 1.89498i | 0.0464294 | + | 0.0722456i | ||||
\(689\) | 9.91921 | 0.377892 | ||||||||
\(690\) | −4.46236 | + | 0.712963i | −0.169879 | + | 0.0271420i | ||||
\(691\) | − | 12.9076i | − | 0.491028i | −0.969393 | − | 0.245514i | \(-0.921043\pi\) | ||
0.969393 | − | 0.245514i | \(-0.0789568\pi\) | |||||||
\(692\) | −2.26524 | − | 3.52478i | −0.0861115 | − | 0.133992i | ||||
\(693\) | 11.5776 | − | 7.28444i | 0.439797 | − | 0.276713i | ||||
\(694\) | −9.36538 | + | 20.5073i | −0.355505 | + | 0.778447i | ||||
\(695\) | 4.86040 | + | 16.5530i | 0.184365 | + | 0.627891i | ||||
\(696\) | −16.8933 | + | 7.71490i | −0.640338 | + | 0.292433i | ||||
\(697\) | 0.965627 | − | 0.836720i | 0.0365757 | − | 0.0316930i | ||||
\(698\) | −27.3773 | + | 3.93627i | −1.03625 | + | 0.148990i | ||||
\(699\) | −2.26357 | + | 7.70902i | −0.0856162 | + | 0.291582i | ||||
\(700\) | 0.108653 | − | 11.3220i | 0.00410669 | − | 0.427930i | ||||
\(701\) | 19.3006 | − | 30.0324i | 0.728975 | − | 1.13431i | −0.256837 | − | 0.966455i | \(-0.582680\pi\) |
0.985812 | − | 0.167853i | \(-0.0536833\pi\) | |||||||
\(702\) | 1.01896 | + | 0.654845i | 0.0384581 | + | 0.0247155i | ||||
\(703\) | −6.08209 | − | 5.27016i | −0.229390 | − | 0.198768i | ||||
\(704\) | −9.62018 | + | 32.7633i | −0.362574 | + | 1.23481i | ||||
\(705\) | 1.17176 | + | 8.14976i | 0.0441310 | + | 0.306938i | ||||
\(706\) | −6.02768 | + | 5.22302i | −0.226855 | + | 0.196571i | ||||
\(707\) | 14.0875 | − | 30.0800i | 0.529815 | − | 1.13128i | ||||
\(708\) | −9.28912 | + | 2.72753i | −0.349106 | + | 0.102507i | ||||
\(709\) | −34.7361 | − | 15.8635i | −1.30454 | − | 0.595765i | −0.362727 | − | 0.931895i | \(-0.618154\pi\) |
−0.941815 | + | 0.336131i | \(0.890882\pi\) | |||||||
\(710\) | −0.804194 | + | 5.59329i | −0.0301809 | + | 0.209913i | ||||
\(711\) | 1.76484 | + | 2.74615i | 0.0661868 | + | 0.102989i | ||||
\(712\) | 27.6906 | 1.03775 | ||||||||
\(713\) | 30.8660 | + | 13.5169i | 1.15594 | + | 0.506212i | ||||
\(714\) | 0.564284 | + | 0.663987i | 0.0211178 | + | 0.0248491i | ||||
\(715\) | −5.24492 | + | 3.37070i | −0.196149 | + | 0.126057i | ||||
\(716\) | 2.88114 | − | 20.0388i | 0.107673 | − | 0.748884i | ||||
\(717\) | −7.67139 | − | 3.50341i | −0.286493 | − | 0.130837i | ||||
\(718\) | −6.86685 | − | 23.3864i | −0.256269 | − | 0.872771i | ||||
\(719\) | −21.0713 | + | 9.62293i | −0.785826 | + | 0.358875i | −0.767575 | − | 0.640959i | \(-0.778537\pi\) |
−0.0182509 | + | 0.999833i | \(0.505810\pi\) | |||||||
\(720\) | −0.496526 | − | 0.573022i | −0.0185044 | − | 0.0213553i | ||||
\(721\) | 28.3241 | + | 25.0229i | 1.05485 | + | 0.931901i | ||||
\(722\) | 19.4478 | + | 5.71038i | 0.723771 | + | 0.212518i | ||||
\(723\) | −6.65526 | − | 5.76681i | −0.247512 | − | 0.214470i | ||||
\(724\) | 22.9256 | + | 14.7334i | 0.852023 | + | 0.547562i | ||||
\(725\) | −21.3624 | − | 13.7288i | −0.793379 | − | 0.509873i | ||||
\(726\) | −11.5644 | − | 10.0206i | −0.429197 | − | 0.371901i | ||||
\(727\) | −25.9741 | − | 7.62667i | −0.963324 | − | 0.282858i | −0.238000 | − | 0.971265i | \(-0.576492\pi\) |
−0.725324 | + | 0.688408i | \(0.758310\pi\) | |||||||
\(728\) | 6.47888 | − | 7.33364i | 0.240123 | − | 0.271803i | ||||
\(729\) | 0.654861 | + | 0.755750i | 0.0242541 | + | 0.0279907i | ||||
\(730\) | −1.48860 | + | 0.679820i | −0.0550955 | + | 0.0251613i | ||||
\(731\) | 0.274453 | + | 0.934702i | 0.0101510 | + | 0.0345712i | ||||
\(732\) | 3.42436 | + | 1.56385i | 0.126568 | + | 0.0578017i | ||||
\(733\) | 3.33511 | − | 23.1962i | 0.123185 | − | 0.856771i | −0.830726 | − | 0.556681i | \(-0.812074\pi\) |
0.953911 | − | 0.300089i | \(-0.0970165\pi\) | |||||||
\(734\) | −9.56559 | + | 6.14743i | −0.353072 | + | 0.226906i | ||||
\(735\) | 6.69124 | + | 1.09351i | 0.246810 | + | 0.0403348i | ||||
\(736\) | 16.5590 | + | 18.5171i | 0.610373 | + | 0.682549i | ||||
\(737\) | 32.0730 | 1.18143 | ||||||||
\(738\) | 1.98504 | + | 3.08878i | 0.0730702 | + | 0.113700i | ||||
\(739\) | 6.93514 | − | 48.2350i | 0.255113 | − | 1.77435i | −0.311380 | − | 0.950286i | \(-0.600791\pi\) |
0.566493 | − | 0.824066i | \(-0.308300\pi\) | |||||||
\(740\) | 1.18361 | + | 0.540536i | 0.0435104 | + | 0.0198705i | ||||
\(741\) | 7.53980 | − | 2.21388i | 0.276981 | − | 0.0813291i | ||||
\(742\) | −8.69711 | + | 18.5703i | −0.319281 | + | 0.681738i | ||||
\(743\) | −11.4437 | + | 9.91599i | −0.419827 | + | 0.363782i | −0.839007 | − | 0.544121i | \(-0.816863\pi\) |
0.419180 | + | 0.907903i | \(0.362318\pi\) | |||||||
\(744\) | 2.97040 | + | 20.6596i | 0.108900 | + | 0.757418i | ||||
\(745\) | −3.72262 | + | 12.6781i | −0.136386 | + | 0.464489i | ||||
\(746\) | 18.6961 | + | 16.2003i | 0.684514 | + | 0.593135i | ||||
\(747\) | −5.23780 | − | 3.36613i | −0.191641 | − | 0.123160i | ||||
\(748\) | −0.996969 | + | 1.55131i | −0.0364528 | + | 0.0567217i | ||||
\(749\) | −5.79978 | − | 0.0556584i | −0.211919 | − | 0.00203371i | ||||
\(750\) | 2.40563 | − | 8.19283i | 0.0878413 | − | 0.299160i | ||||
\(751\) | 9.40177 | − | 1.35177i | 0.343075 | − | 0.0493268i | 0.0313762 | − | 0.999508i | \(-0.490011\pi\) |
0.311699 | + | 0.950181i | \(0.399102\pi\) | |||||||
\(752\) | −5.02915 | + | 4.35779i | −0.183394 | + | 0.158912i | ||||
\(753\) | 18.8427 | − | 8.60519i | 0.686667 | − | 0.313590i | ||||
\(754\) | −2.13336 | − | 7.26555i | −0.0776923 | − | 0.264596i | ||||
\(755\) | 1.92665 | − | 4.21877i | 0.0701179 | − | 0.153537i | ||||
\(756\) | 2.35935 | − | 1.48447i | 0.0858088 | − | 0.0539895i | ||||
\(757\) | −22.2383 | − | 34.6035i | −0.808265 | − | 1.25768i | −0.962939 | − | 0.269719i | \(-0.913069\pi\) |
0.154674 | − | 0.987966i | \(-0.450567\pi\) | |||||||
\(758\) | 0.844020i | 0.0306562i | ||||||||
\(759\) | −23.6781 | + | 7.35649i | −0.859460 | + | 0.267024i | ||||
\(760\) | −18.1599 | −0.658729 | ||||||||
\(761\) | 0.495110 | + | 0.770407i | 0.0179477 | + | 0.0279272i | 0.850112 | − | 0.526603i | \(-0.176534\pi\) |
−0.832164 | + | 0.554530i | \(0.812898\pi\) | |||||||
\(762\) | 4.64527 | + | 0.667889i | 0.168280 | + | 0.0241951i | ||||
\(763\) | −0.416130 | + | 0.117861i | −0.0150649 | + | 0.00426686i | ||||
\(764\) | −5.75993 | − | 19.6165i | −0.208387 | − | 0.709701i | ||||
\(765\) | −0.136216 | − | 0.298271i | −0.00492490 | − | 0.0107840i | ||||
\(766\) | 11.1389 | + | 12.8550i | 0.402465 | + | 0.464470i | ||||
\(767\) | −1.62818 | − | 11.3243i | −0.0587903 | − | 0.408896i | ||||
\(768\) | −4.79980 | + | 16.3466i | −0.173198 | + | 0.589857i | ||||
\(769\) | −25.6610 | + | 29.6144i | −0.925361 | + | 1.06792i | 0.0721486 | + | 0.997394i | \(0.477014\pi\) |
−0.997510 | + | 0.0705298i | \(0.977531\pi\) | |||||||
\(770\) | −1.71177 | − | 12.7747i | −0.0616880 | − | 0.460369i | ||||
\(771\) | 18.4639 | + | 11.8660i | 0.664961 | + | 0.427345i | ||||
\(772\) | −17.4211 | + | 20.1050i | −0.627000 | + | 0.723596i | ||||
\(773\) | −0.101924 | − | 0.0299277i | −0.00366596 | − | 0.00107642i | 0.279899 | − | 0.960029i | \(-0.409699\pi\) |
−0.283565 | + | 0.958953i | \(0.591517\pi\) | |||||||
\(774\) | −2.77087 | + | 0.398392i | −0.0995970 | + | 0.0143199i | ||||
\(775\) | −21.5684 | + | 18.6891i | −0.774759 | + | 0.671332i | ||||
\(776\) | −19.0668 | − | 41.7506i | −0.684460 | − | 1.49876i | ||||
\(777\) | 1.85106 | − | 2.82042i | 0.0664062 | − | 0.101182i | ||||
\(778\) | 24.0211 | + | 10.9700i | 0.861197 | + | 0.393295i | ||||
\(779\) | 23.5779 | + | 3.38999i | 0.844765 | + | 0.121459i | ||||
\(780\) | −1.06884 | + | 0.686902i | −0.0382706 | + | 0.0245950i | ||||
\(781\) | 31.0048i | 1.10944i | ||||||||
\(782\) | −0.678530 | − | 1.42633i | −0.0242642 | − | 0.0510056i | ||||
\(783\) | − | 6.25168i | − | 0.223417i | ||||||
\(784\) | 2.18028 | + | 5.02731i | 0.0778672 | + | 0.179547i | ||||
\(785\) | 0.801219 | − | 5.57260i | 0.0285967 | − | 0.198895i | ||||
\(786\) | −0.994252 | + | 2.17711i | −0.0354638 | + | 0.0776549i | ||||
\(787\) | −3.26801 | + | 0.959574i | −0.116492 | + | 0.0342051i | −0.339459 | − | 0.940621i | \(-0.610244\pi\) |
0.222967 | + | 0.974826i | \(0.428426\pi\) | |||||||
\(788\) | −3.49432 | − | 7.65148i | −0.124480 | − | 0.272573i | ||||
\(789\) | −6.22003 | − | 7.17830i | −0.221439 | − | 0.255554i | ||||
\(790\) | 3.04459 | − | 0.437746i | 0.108322 | − | 0.0155743i | ||||
\(791\) | −0.0343137 | − | 0.0770857i | −0.00122005 | − | 0.00274085i | ||||
\(792\) | −11.6070 | − | 10.0576i | −0.412438 | − | 0.357380i | ||||
\(793\) | −2.40516 | + | 3.74250i | −0.0854097 | + | 0.132900i | ||||
\(794\) | −11.2260 | + | 17.4679i | −0.398394 | + | 0.619913i | ||||
\(795\) | 5.05325 | − | 5.83176i | 0.179220 | − | 0.206831i | ||||
\(796\) | 23.4145 | + | 6.87510i | 0.829903 | + | 0.243682i | ||||
\(797\) | −7.26830 | − | 50.5521i | −0.257456 | − | 1.79065i | −0.550797 | − | 0.834639i | \(-0.685676\pi\) |
0.293340 | − | 0.956008i | \(-0.405233\pi\) | |||||||
\(798\) | −2.46611 | + | 16.0568i | −0.0872995 | + | 0.568405i | ||||
\(799\) | −2.61779 | + | 1.19551i | −0.0926109 | + | 0.0422940i | ||||
\(800\) | −20.1872 | + | 5.92749i | −0.713725 | + | 0.209568i | ||||
\(801\) | −3.87225 | + | 8.47904i | −0.136819 | + | 0.299592i | ||||
\(802\) | 11.5112 | + | 1.65506i | 0.406474 | + | 0.0584421i | ||||
\(803\) | −7.55365 | + | 4.85444i | −0.266562 | + | 0.171309i | ||||
\(804\) | 6.53603 | 0.230508 | ||||||||
\(805\) | −11.2098 | − | 5.03778i | −0.395094 | − | 0.177558i | ||||
\(806\) | −8.51027 | −0.299762 | ||||||||
\(807\) | −6.23844 | + | 4.00920i | −0.219604 | + | 0.141131i | ||||
\(808\) | −36.9147 | − | 5.30754i | −1.29866 | − | 0.186718i | ||||
\(809\) | −12.1079 | + | 26.5125i | −0.425690 | + | 0.932131i | 0.568317 | + | 0.822810i | \(0.307595\pi\) |
−0.994007 | + | 0.109321i | \(0.965132\pi\) | |||||||
\(810\) | 0.904099 | − | 0.265468i | 0.0317668 | − | 0.00932758i | ||||
\(811\) | 25.8082 | − | 11.7862i | 0.906250 | − | 0.413871i | 0.0929204 | − | 0.995674i | \(-0.470380\pi\) |
0.813330 | + | 0.581803i | \(0.197653\pi\) | |||||||
\(812\) | −17.2246 | − | 2.64547i | −0.604466 | − | 0.0928380i | ||||
\(813\) | 2.48068 | + | 17.2535i | 0.0870011 | + | 0.605106i | ||||
\(814\) | −6.15348 | − | 1.80683i | −0.215679 | − | 0.0633292i | ||||
\(815\) | −10.2717 | + | 11.8542i | −0.359803 | + | 0.415235i | ||||
\(816\) | 0.143279 | − | 0.222947i | 0.00501579 | − | 0.00780471i | ||||
\(817\) | −9.81876 | + | 15.2783i | −0.343515 | + | 0.534520i | ||||
\(818\) | 27.4806 | + | 23.8121i | 0.960838 | + | 0.832571i | ||||
\(819\) | 1.33960 | + | 3.00941i | 0.0468094 | + | 0.105157i | ||||
\(820\) | −3.81217 | + | 0.548108i | −0.133127 | + | 0.0191408i | ||||
\(821\) | 17.4985 | + | 20.1943i | 0.610701 | + | 0.704787i | 0.973914 | − | 0.226919i | \(-0.0728654\pi\) |
−0.363212 | + | 0.931706i | \(0.618320\pi\) | |||||||
\(822\) | −0.294441 | − | 0.644736i | −0.0102698 | − | 0.0224878i | ||||
\(823\) | 31.1974 | − | 9.16039i | 1.08747 | − | 0.319311i | 0.311609 | − | 0.950210i | \(-0.399132\pi\) |
0.775865 | + | 0.630899i | \(0.217314\pi\) | |||||||
\(824\) | 17.6283 | − | 38.6005i | 0.614110 | − | 1.34471i | ||||
\(825\) | 2.98860 | − | 20.7862i | 0.104050 | − | 0.723682i | ||||
\(826\) | 22.6284 | + | 6.88084i | 0.787343 | + | 0.239415i | ||||
\(827\) | − | 17.9092i | − | 0.622762i | −0.950285 | − | 0.311381i | \(-0.899208\pi\) | ||
0.950285 | − | 0.311381i | \(-0.100792\pi\) | |||||||
\(828\) | −4.82526 | + | 1.49915i | −0.167689 | + | 0.0520991i | ||||
\(829\) | 51.0568i | 1.77327i | 0.462466 | + | 0.886637i | \(0.346965\pi\) | ||||
−0.462466 | + | 0.886637i | \(0.653035\pi\) | |||||||
\(830\) | −4.93541 | + | 3.17179i | −0.171311 | + | 0.110095i | ||||
\(831\) | 18.5642 | + | 2.66913i | 0.643986 | + | 0.0925912i | ||||
\(832\) | −7.48009 | − | 3.41604i | −0.259325 | − | 0.118430i | ||||
\(833\) | 0.292179 | + | 2.35172i | 0.0101234 | + | 0.0814823i | ||||
\(834\) | −7.19826 | − | 15.7620i | −0.249255 | − | 0.545793i | ||||
\(835\) | −8.99949 | + | 7.79810i | −0.311440 | + | 0.269864i | ||||
\(836\) | −34.0288 | + | 4.89260i | −1.17691 | + | 0.169214i | ||||
\(837\) | −6.74148 | − | 1.97948i | −0.233020 | − | 0.0684207i | ||||
\(838\) | −4.61438 | + | 5.32528i | −0.159401 | + | 0.183959i | ||||
\(839\) | 36.0097 | + | 23.1420i | 1.24319 | + | 0.798952i | 0.985893 | − | 0.167379i | \(-0.0535304\pi\) |
0.257301 | + | 0.966331i | \(0.417167\pi\) | |||||||
\(840\) | −1.01103 | − | 7.54515i | −0.0348837 | − | 0.260333i | ||||
\(841\) | −6.60329 | + | 7.62061i | −0.227700 | + | 0.262780i | ||||
\(842\) | 10.0972 | − | 34.3878i | 0.347971 | − | 1.18508i | ||||
\(843\) | 0.761966 | + | 5.29959i | 0.0262435 | + | 0.182528i | ||||
\(844\) | −14.1712 | − | 16.3544i | −0.487793 | − | 0.562943i | ||||
\(845\) | 4.60695 | + | 10.0878i | 0.158484 | + | 0.347032i | ||||
\(846\) | −2.32989 | − | 7.93488i | −0.0801033 | − | 0.272807i | ||||
\(847\) | −11.3407 | − | 40.0403i | −0.389671 | − | 1.37580i | ||||
\(848\) | 6.17317 | + | 0.887567i | 0.211987 | + | 0.0304792i | ||||
\(849\) | −3.86034 | − | 6.00681i | −0.132487 | − | 0.206153i | ||||
\(850\) | 1.33777 | 0.0458852 | ||||||||
\(851\) | −4.55836 | + | 4.07634i | −0.156259 | + | 0.139735i | ||||
\(852\) | 6.31834i | 0.216463i | ||||||||
\(853\) | −8.43604 | − | 13.1267i | −0.288845 | − | 0.449451i | 0.666260 | − | 0.745719i | \(-0.267894\pi\) |
−0.955105 | + | 0.296269i | \(0.904258\pi\) | |||||||
\(854\) | −4.89772 | − | 7.78424i | −0.167597 | − | 0.266371i | ||||
\(855\) | 2.53948 | − | 5.56068i | 0.0868483 | − | 0.190171i | ||||
\(856\) | 1.83472 | + | 6.24850i | 0.0627096 | + | 0.213569i | ||||
\(857\) | −14.7968 | + | 6.75749i | −0.505450 | + | 0.230832i | −0.651785 | − | 0.758404i | \(-0.725980\pi\) |
0.146335 | + | 0.989235i | \(0.453252\pi\) | |||||||
\(858\) | 4.73260 | − | 4.10082i | 0.161568 | − | 0.140000i | ||||
\(859\) | 23.0813 | − | 3.31859i | 0.787524 | − | 0.113229i | 0.263193 | − | 0.964743i | \(-0.415224\pi\) |
0.524331 | + | 0.851514i | \(0.324315\pi\) | |||||||
\(860\) | 0.827281 | − | 2.81746i | 0.0282100 | − | 0.0960746i | ||||
\(861\) | −0.0958221 | + | 9.98496i | −0.00326561 | + | 0.340287i | ||||
\(862\) | 5.00689 | − | 7.79088i | 0.170535 | − | 0.265358i | ||||
\(863\) | −18.6100 | − | 11.9599i | −0.633491 | − | 0.407120i | 0.184110 | − | 0.982906i | \(-0.441060\pi\) |
−0.817601 | + | 0.575786i | \(0.804696\pi\) | |||||||
\(864\) | −3.91459 | − | 3.39201i | −0.133177 | − | 0.115398i | ||||
\(865\) | 1.08520 | − | 3.69584i | 0.0368978 | − | 0.125662i | ||||
\(866\) | 1.37207 | + | 9.54299i | 0.0466250 | + | 0.324284i | ||||
\(867\) | −12.7611 | + | 11.0576i | −0.433391 | + | 0.375535i | ||||
\(868\) | −8.30659 | + | 17.7365i | −0.281944 | + | 0.602015i | ||||
\(869\) | 16.1932 | − | 4.75474i | 0.549315 | − | 0.161293i | ||||
\(870\) | −5.35842 | − | 2.44711i | −0.181668 | − | 0.0829648i | ||||
\(871\) | −1.09922 | + | 7.64526i | −0.0372457 | + | 0.259050i | ||||
\(872\) | 0.262540 | + | 0.408521i | 0.00889074 | + | 0.0138343i | ||||
\(873\) | 15.4506 | 0.522923 | ||||||||
\(874\) | 11.8124 | − | 26.9736i | 0.399559 | − | 0.912397i | ||||
\(875\) | 17.6951 | − | 15.0380i | 0.598204 | − | 0.508378i | ||||
\(876\) | −1.53933 | + | 0.989266i | −0.0520091 | + | 0.0334242i | ||||
\(877\) | 0.746072 | − | 5.18905i | 0.0251931 | − | 0.175222i | −0.973340 | − | 0.229367i | \(-0.926334\pi\) |
0.998533 | + | 0.0541455i | \(0.0172435\pi\) | |||||||
\(878\) | 15.4310 | + | 7.04708i | 0.520770 | + | 0.237828i | ||||
\(879\) | 5.61602 | + | 19.1264i | 0.189424 | + | 0.645118i | ||||
\(880\) | −3.56575 | + | 1.62842i | −0.120202 | + | 0.0548942i | ||||
\(881\) | −18.0374 | − | 20.8162i | −0.607695 | − | 0.701317i | 0.365627 | − | 0.930761i | \(-0.380855\pi\) |
−0.973322 | + | 0.229444i | \(0.926309\pi\) | |||||||
\(882\) | −6.80864 | − | 0.130692i | −0.229259 | − | 0.00440064i | ||||
\(883\) | −21.2433 | − | 6.23759i | −0.714893 | − | 0.209912i | −0.0959939 | − | 0.995382i | \(-0.530603\pi\) |
−0.618899 | + | 0.785470i | \(0.712421\pi\) | |||||||
\(884\) | −0.335618 | − | 0.290815i | −0.0112881 | − | 0.00978117i | ||||
\(885\) | −7.48729 | − | 4.81179i | −0.251683 | − | 0.161747i | ||||
\(886\) | −6.19799 | − | 3.98321i | −0.208226 | − | 0.133818i | ||||
\(887\) | 24.6671 | + | 21.3742i | 0.828241 | + | 0.717675i | 0.961915 | − | 0.273350i | \(-0.0881319\pi\) |
−0.133673 | + | 0.991025i | \(0.542677\pi\) | |||||||
\(888\) | −3.63444 | − | 1.06717i | −0.121964 | − | 0.0358118i | ||||
\(889\) | 9.56516 | + | 8.45032i | 0.320805 | + | 0.283415i | ||||
\(890\) | 5.75180 | + | 6.63794i | 0.192801 | + | 0.222504i | ||||
\(891\) | 4.70282 | − | 2.14770i | 0.157550 | − | 0.0719508i | ||||
\(892\) | −8.72224 | − | 29.7052i | −0.292042 | − | 0.994605i | ||||
\(893\) | −48.8036 | − | 22.2879i | −1.63315 | − | 0.745835i | ||||
\(894\) | 1.88874 | − | 13.1365i | 0.0631690 | − | 0.439350i | ||||
\(895\) | 15.6569 | − | 10.0621i | 0.523353 | − | 0.336339i | ||||
\(896\) | −7.93146 | + | 6.74048i | −0.264972 | + | 0.225184i | ||||
\(897\) | −0.942063 | − | 5.89627i | −0.0314546 | − | 0.196871i | ||||
\(898\) | −28.1436 | −0.939165 | ||||||||
\(899\) | 23.7476 | + | 36.9519i | 0.792026 | + | 1.23242i | ||||
\(900\) | 0.609035 | − | 4.23593i | 0.0203012 | − | 0.141198i | ||||
\(901\) | 2.45341 | + | 1.12043i | 0.0817348 | + | 0.0373270i | ||||
\(902\) | 18.2135 | − | 5.34797i | 0.606444 | − | 0.178068i | ||||
\(903\) | −6.89453 | − | 3.22894i | −0.229436 | − | 0.107452i | ||||
\(904\) | −0.0715994 | + | 0.0620412i | −0.00238136 | + | 0.00206346i | ||||
\(905\) | 3.56541 | + | 24.7980i | 0.118518 | + | 0.824312i | ||||
\(906\) | −1.31240 | + | 4.46964i | −0.0436017 | + | 0.148494i | ||||
\(907\) | 25.9206 | + | 22.4603i | 0.860678 | + | 0.745782i | 0.968665 | − | 0.248370i | \(-0.0798950\pi\) |
−0.107987 | + | 0.994152i | \(0.534440\pi\) | |||||||
\(908\) | −22.1885 | − | 14.2597i | −0.736351 | − | 0.473224i | ||||
\(909\) | 6.78735 | − | 10.5613i | 0.225122 | − | 0.350297i | ||||
\(910\) | 3.10378 | + | 0.0297858i | 0.102889 | + | 0.000987391i | ||||
\(911\) | 14.6570 | − | 49.9172i | 0.485609 | − | 1.65383i | −0.243855 | − | 0.969812i | \(-0.578412\pi\) |
0.729464 | − | 0.684020i | \(-0.239770\pi\) | |||||||
\(912\) | 4.89045 | − | 0.703140i | 0.161939 | − | 0.0232833i | ||||
\(913\) | −24.3272 | + | 21.0796i | −0.805113 | + | 0.697634i | ||||
\(914\) | −13.2150 | + | 6.03508i | −0.437113 | + | 0.199623i | ||||
\(915\) | 0.975027 | + | 3.32064i | 0.0322334 | + | 0.109777i | ||||
\(916\) | 8.74150 | − | 19.1412i | 0.288827 | − | 0.632443i | ||||
\(917\) | −5.50932 | + | 3.46638i | −0.181934 | + | 0.114470i | ||||
\(918\) | 0.178060 | + | 0.277066i | 0.00587684 | + | 0.00914454i | ||||
\(919\) | 15.0348i | 0.495954i | 0.968766 | + | 0.247977i | \(0.0797657\pi\) | ||||
−0.968766 | + | 0.247977i | \(0.920234\pi\) | |||||||
\(920\) | −1.75004 | + | 13.6876i | −0.0576970 | + | 0.451266i | ||||
\(921\) | 19.8303 | 0.653430 | ||||||||
\(922\) | 15.2059 | + | 23.6608i | 0.500778 | + | 0.779226i | ||||
\(923\) | −7.39062 | − | 1.06261i | −0.243265 | − | 0.0349762i | ||||
\(924\) | −3.92730 | − | 13.8660i | −0.129199 | − | 0.456158i | ||||
\(925\) | −1.45917 | − | 4.96949i | −0.0479774 | − | 0.163396i | ||||
\(926\) | −1.87198 | − | 4.09905i | −0.0615169 | − | 0.134703i | ||||
\(927\) | 9.35459 | + | 10.7958i | 0.307245 | + | 0.354580i | ||||
\(928\) | 4.60845 | + | 32.0525i | 0.151280 | + | 1.05217i | ||||
\(929\) | 5.47630 | − | 18.6506i | 0.179672 | − | 0.611905i | −0.819570 | − | 0.572978i | \(-0.805788\pi\) |
0.999242 | − | 0.0389268i | \(-0.0123939\pi\) | |||||||
\(930\) | −4.33548 | + | 5.00341i | −0.142166 | + | 0.164068i | ||||
\(931\) | −29.5674 | + | 32.8278i | −0.969032 | + | 1.07589i | ||||
\(932\) | 7.12116 | + | 4.57649i | 0.233261 | + | 0.149908i | ||||
\(933\) | −8.26974 | + | 9.54379i | −0.270739 | + | 0.312450i | ||||
\(934\) | 31.1464 | + | 9.14541i | 1.01914 | + | 0.299247i | ||||
\(935\) | −1.67801 | + | 0.241262i | −0.0548769 | + | 0.00789010i | ||||
\(936\) | 2.79522 | − | 2.42208i | 0.0913648 | − | 0.0791680i | ||||
\(937\) | 16.4722 | + | 36.0691i | 0.538124 | + | 1.17833i | 0.962111 | + | 0.272659i | \(0.0879031\pi\) |
−0.423987 | + | 0.905668i | \(0.639370\pi\) | |||||||
\(938\) | −13.3493 | − | 8.76123i | −0.435871 | − | 0.286064i | ||||
\(939\) | 1.84215 | + | 0.841284i | 0.0601165 | + | 0.0274543i | ||||
\(940\) | 8.58640 | + | 1.23454i | 0.280058 | + | 0.0402662i | ||||
\(941\) | −28.2019 | + | 18.1243i | −0.919356 | + | 0.590835i | −0.912471 | − | 0.409142i | \(-0.865828\pi\) |
−0.00688563 | + | 0.999976i | \(0.502192\pi\) | |||||||
\(942\) | 5.65472i | 0.184241i | ||||||||
\(943\) | 4.82727 | − | 17.4445i | 0.157198 | − | 0.568072i | ||||
\(944\) | − | 7.19329i | − | 0.234122i | ||||||
\(945\) | 2.45176 | + | 0.745530i | 0.0797556 | + | 0.0242521i | ||||
\(946\) | −2.05969 | + | 14.3255i | −0.0669664 | + | 0.465762i | ||||
\(947\) | 14.6873 | − | 32.1607i | 0.477274 | − | 1.04508i | −0.505930 | − | 0.862574i | \(-0.668851\pi\) |
0.983204 | − | 0.182509i | \(-0.0584220\pi\) | |||||||
\(948\) | 3.29994 | − | 0.968949i | 0.107177 | − | 0.0314700i | ||||
\(949\) | −0.898271 | − | 1.96694i | −0.0291591 | − | 0.0638495i | ||||
\(950\) | 16.3323 | + | 18.8485i | 0.529890 | + | 0.611526i | ||||
\(951\) | 4.74693 | − | 0.682506i | 0.153930 | − | 0.0221318i | ||||
\(952\) | 2.43086 | − | 1.08206i | 0.0787845 | − | 0.0350699i | ||||
\(953\) | 20.8182 | + | 18.0391i | 0.674368 | + | 0.584343i | 0.923254 | − | 0.384189i | \(-0.125519\pi\) |
−0.248886 | + | 0.968533i | \(0.580064\pi\) | |||||||
\(954\) | −4.19026 | + | 6.52018i | −0.135665 | + | 0.211098i | ||||
\(955\) | 10.1614 | − | 15.8115i | 0.328816 | − | 0.511648i | ||||
\(956\) | −5.81867 | + | 6.71511i | −0.188189 | + | 0.217182i | ||||
\(957\) | −31.0121 | − | 9.10597i | −1.00248 | − | 0.294354i | ||||
\(958\) | −3.49812 | − | 24.3299i | −0.113019 | − | 0.786064i | ||||
\(959\) | 0.292627 | − | 1.90529i | 0.00944941 | − | 0.0615249i | ||||
\(960\) | −5.81904 | + | 2.65747i | −0.187809 | + | 0.0857694i | ||||
\(961\) | 17.6219 | − | 5.17427i | 0.568450 | − | 0.166912i | ||||
\(962\) | 0.641588 | − | 1.40488i | 0.0206856 | − | 0.0452952i | ||||
\(963\) | −2.16990 | − | 0.311984i | −0.0699240 | − | 0.0100535i | ||||
\(964\) | −7.80513 | + | 5.01605i | −0.251386 | + | 0.161556i | ||||
\(965\) | −24.4564 | −0.787279 | ||||||||
\(966\) | 11.8647 | + | 3.40613i | 0.381742 | + | 0.109591i | ||||
\(967\) | −8.58949 | −0.276219 | −0.138110 | − | 0.990417i | \(-0.544103\pi\) | ||||
−0.138110 | + | 0.990417i | \(0.544103\pi\) | |||||||
\(968\) | −39.3082 | + | 25.2618i | −1.26341 | + | 0.811946i | ||||
\(969\) | 2.11496 | + | 0.304085i | 0.0679422 | + | 0.00976861i | ||||
\(970\) | 6.04786 | − | 13.2430i | 0.194185 | − | 0.425206i | ||||
\(971\) | −52.9817 | + | 15.5568i | −1.70026 | + | 0.499242i | −0.980755 | − | 0.195241i | \(-0.937451\pi\) |
−0.719508 | + | 0.694484i | \(0.755633\pi\) | |||||||
\(972\) | 0.958368 | − | 0.437672i | 0.0307397 | − | 0.0140383i | ||||
\(973\) | 7.15390 | − | 46.5789i | 0.229344 | − | 1.49325i | ||||
\(974\) | −1.74064 | − | 12.1064i | −0.0557736 | − | 0.387914i | ||||
\(975\) | 4.85238 | + | 1.42479i | 0.155401 | + | 0.0456297i | ||||
\(976\) | −1.83172 | + | 2.11391i | −0.0586318 | + | 0.0676647i | ||||
\(977\) | 18.0031 | − | 28.0133i | 0.575969 | − | 0.896226i | −0.423986 | − | 0.905669i | \(-0.639369\pi\) |
0.999955 | + | 0.00944301i | \(0.00300585\pi\) | |||||||
\(978\) | 8.51753 | − | 13.2535i | 0.272361 | − | 0.423802i | ||||
\(979\) | 36.4209 | + | 31.5589i | 1.16402 | + | 1.00863i | ||||
\(980\) | 3.09157 | − | 6.43959i | 0.0987567 | − | 0.205705i | ||||
\(981\) | −0.161805 | + | 0.0232641i | −0.00516605 | + | 0.000742765i | ||||
\(982\) | 24.5021 | + | 28.2770i | 0.781894 | + | 0.902354i | ||||
\(983\) | −20.3319 | − | 44.5207i | −0.648488 | − | 1.41999i | −0.892872 | − | 0.450312i | \(-0.851313\pi\) |
0.244384 | − | 0.969679i | \(-0.421414\pi\) | |||||||
\(984\) | 10.7575 | − | 3.15868i | 0.342936 | − | 0.100695i | ||||
\(985\) | 3.21238 | − | 7.03414i | 0.102355 | − | 0.224126i | ||||
\(986\) | 0.293024 | − | 2.03803i | 0.00933179 | − | 0.0649040i | ||||
\(987\) | 6.54318 | − | 21.5180i | 0.208272 | − | 0.684924i | ||||
\(988\) | − | 8.27912i | − | 0.263394i | ||||||
\(989\) | 10.5694 | + | 8.87298i | 0.336088 | + | 0.282144i | ||||
\(990\) | − | 4.87155i | − | 0.154828i | ||||||
\(991\) | 8.43464 | − | 5.42061i | 0.267935 | − | 0.172191i | −0.399774 | − | 0.916614i | \(-0.630911\pi\) |
0.667709 | + | 0.744422i | \(0.267275\pi\) | |||||||
\(992\) | 36.0229 | + | 5.17931i | 1.14373 | + | 0.164443i | ||||
\(993\) | 23.1334 | + | 10.5647i | 0.734117 | + | 0.335260i | ||||
\(994\) | 8.46943 | − | 12.9047i | 0.268634 | − | 0.409312i | ||||
\(995\) | 9.31944 | + | 20.4067i | 0.295446 | + | 0.646937i | ||||
\(996\) | −4.95754 | + | 4.29573i | −0.157086 | + | 0.136116i | ||||
\(997\) | −18.7703 | + | 2.69876i | −0.594460 | + | 0.0854705i | −0.432977 | − | 0.901405i | \(-0.642537\pi\) |
−0.161483 | + | 0.986875i | \(0.551628\pi\) | |||||||
\(998\) | 3.70659 | + | 1.08835i | 0.117330 | + | 0.0344512i | ||||
\(999\) | 0.835013 | − | 0.963656i | 0.0264186 | − | 0.0304887i |
(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 | 483.2.r.a.34.11 | ✓ | 320 | |
7.6 | odd | 2 | inner | 483.2.r.a.34.12 | yes | 320 | |
23.21 | odd | 22 | inner | 483.2.r.a.412.12 | yes | 320 | |
161.90 | even | 22 | inner | 483.2.r.a.412.11 | yes | 320 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
483.2.r.a.34.11 | ✓ | 320 | 1.1 | even | 1 | trivial | |
483.2.r.a.34.12 | yes | 320 | 7.6 | odd | 2 | inner | |
483.2.r.a.412.11 | yes | 320 | 161.90 | even | 22 | inner | |
483.2.r.a.412.12 | yes | 320 | 23.21 | odd | 22 | inner |