Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [690,2,Mod(49,690)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(690, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 11, 16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("690.49");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 690.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: | \(5.50967773947\) |
Analytic rank: | \(0\) |
Dimension: | \(120\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 49.12 | ||
Character | \(\chi\) | \(=\) | 690.49 |
Dual form | 690.2.r.a.169.12 |
$q$-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 \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).
\(n\) | \(277\) | \(461\) | \(511\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(e\left(\frac{8}{11}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.989821 | − | 0.142315i | 0.699909 | − | 0.100632i | ||||
\(3\) | 0.909632 | + | 0.415415i | 0.525176 | + | 0.239840i | ||||
\(4\) | 0.959493 | − | 0.281733i | 0.479746 | − | 0.140866i | ||||
\(5\) | 2.13321 | + | 0.670378i | 0.954001 | + | 0.299802i | ||||
\(6\) | 0.959493 | + | 0.281733i | 0.391711 | + | 0.115017i | ||||
\(7\) | −0.684801 | − | 1.06557i | −0.258830 | − | 0.402748i | 0.687381 | − | 0.726297i | \(-0.258760\pi\) |
−0.946211 | + | 0.323549i | \(0.895124\pi\) | |||||||
\(8\) | 0.909632 | − | 0.415415i | 0.321603 | − | 0.146871i | ||||
\(9\) | 0.654861 | + | 0.755750i | 0.218287 | + | 0.251917i | ||||
\(10\) | 2.20690 | + | 0.359967i | 0.697884 | + | 0.113832i | ||||
\(11\) | −0.581246 | + | 4.04265i | −0.175252 | + | 1.21891i | 0.692319 | + | 0.721592i | \(0.256589\pi\) |
−0.867571 | + | 0.497314i | \(0.834320\pi\) | |||||||
\(12\) | 0.989821 | + | 0.142315i | 0.285737 | + | 0.0410828i | ||||
\(13\) | −1.45662 | + | 2.26654i | −0.403992 | + | 0.628624i | −0.982326 | − | 0.187176i | \(-0.940067\pi\) |
0.578334 | + | 0.815800i | \(0.303703\pi\) | |||||||
\(14\) | −0.829477 | − | 0.957267i | −0.221687 | − | 0.255840i | ||||
\(15\) | 1.66195 | + | 1.49597i | 0.429114 | + | 0.386257i | ||||
\(16\) | 0.841254 | − | 0.540641i | 0.210313 | − | 0.135160i | ||||
\(17\) | 1.00253 | − | 3.41431i | 0.243150 | − | 0.828092i | −0.743984 | − | 0.668197i | \(-0.767066\pi\) |
0.987134 | − | 0.159895i | \(-0.0511156\pi\) | |||||||
\(18\) | 0.755750 | + | 0.654861i | 0.178132 | + | 0.154352i | ||||
\(19\) | 6.99364 | − | 2.05352i | 1.60445 | − | 0.471110i | 0.647671 | − | 0.761920i | \(-0.275743\pi\) |
0.956781 | + | 0.290811i | \(0.0939249\pi\) | |||||||
\(20\) | 2.23567 | + | 0.0422279i | 0.499911 | + | 0.00944244i | ||||
\(21\) | −0.180263 | − | 1.25375i | −0.0393365 | − | 0.273591i | ||||
\(22\) | 4.08422i | 0.870759i | ||||||||
\(23\) | −4.79059 | + | 0.224064i | −0.998908 | + | 0.0467207i | ||||
\(24\) | 1.00000 | 0.204124 | ||||||||
\(25\) | 4.10119 | + | 2.86012i | 0.820237 | + | 0.572023i | ||||
\(26\) | −1.11923 | + | 2.45077i | −0.219498 | + | 0.480635i | ||||
\(27\) | 0.281733 | + | 0.959493i | 0.0542195 | + | 0.184655i | ||||
\(28\) | −0.957267 | − | 0.829477i | −0.180907 | − | 0.156756i | ||||
\(29\) | −4.95259 | − | 1.45421i | −0.919672 | − | 0.270040i | −0.212565 | − | 0.977147i | \(-0.568182\pi\) |
−0.707107 | + | 0.707107i | \(0.750000\pi\) | |||||||
\(30\) | 1.85793 | + | 1.24422i | 0.339211 | + | 0.227162i | ||||
\(31\) | −3.25180 | − | 7.12046i | −0.584041 | − | 1.27887i | −0.938977 | − | 0.343981i | \(-0.888224\pi\) |
0.354935 | − | 0.934891i | \(-0.384503\pi\) | |||||||
\(32\) | 0.755750 | − | 0.654861i | 0.133599 | − | 0.115764i | ||||
\(33\) | −2.20810 | + | 3.43587i | −0.384380 | + | 0.598108i | ||||
\(34\) | 0.506421 | − | 3.52223i | 0.0868504 | − | 0.604058i | ||||
\(35\) | −0.746490 | − | 2.73216i | −0.126180 | − | 0.461820i | ||||
\(36\) | 0.841254 | + | 0.540641i | 0.140209 | + | 0.0901068i | ||||
\(37\) | −1.82428 | + | 1.58074i | −0.299909 | + | 0.259873i | −0.791795 | − | 0.610787i | \(-0.790853\pi\) |
0.491886 | + | 0.870660i | \(0.336308\pi\) | |||||||
\(38\) | 6.63021 | − | 3.02792i | 1.07556 | − | 0.491193i | ||||
\(39\) | −2.26654 | + | 1.45662i | −0.362936 | + | 0.233245i | ||||
\(40\) | 2.21892 | − | 0.276371i | 0.350843 | − | 0.0436981i | ||||
\(41\) | 5.06625 | − | 5.84677i | 0.791216 | − | 0.913111i | −0.206650 | − | 0.978415i | \(-0.566256\pi\) |
0.997865 | + | 0.0653035i | \(0.0208015\pi\) | |||||||
\(42\) | −0.356855 | − | 1.21534i | −0.0550640 | − | 0.187531i | ||||
\(43\) | −9.49633 | − | 4.33683i | −1.44818 | − | 0.661360i | −0.472652 | − | 0.881249i | \(-0.656703\pi\) |
−0.975525 | + | 0.219889i | \(0.929430\pi\) | |||||||
\(44\) | 0.581246 | + | 4.04265i | 0.0876261 | + | 0.609453i | ||||
\(45\) | 0.890319 | + | 2.05118i | 0.132721 | + | 0.305772i | ||||
\(46\) | −4.70995 | + | 0.903556i | −0.694444 | + | 0.133222i | ||||
\(47\) | 10.6070i | 1.54719i | 0.633678 | + | 0.773597i | \(0.281544\pi\) | ||||
−0.633678 | + | 0.773597i | \(0.718456\pi\) | |||||||
\(48\) | 0.989821 | − | 0.142315i | 0.142868 | − | 0.0205414i | ||||
\(49\) | 2.24142 | − | 4.90802i | 0.320202 | − | 0.701145i | ||||
\(50\) | 4.46648 | + | 2.24735i | 0.631656 | + | 0.317823i | ||||
\(51\) | 2.33029 | − | 2.68930i | 0.326306 | − | 0.376577i | ||||
\(52\) | −0.759055 | + | 2.58510i | −0.105262 | + | 0.358489i | ||||
\(53\) | 0.343990 | + | 0.535259i | 0.0472507 | + | 0.0735235i | 0.864075 | − | 0.503363i | \(-0.167904\pi\) |
−0.816825 | + | 0.576886i | \(0.804268\pi\) | |||||||
\(54\) | 0.415415 | + | 0.909632i | 0.0565308 | + | 0.123785i | ||||
\(55\) | −3.95003 | + | 8.23418i | −0.532621 | + | 1.11030i | ||||
\(56\) | −1.06557 | − | 0.684801i | −0.142393 | − | 0.0915103i | ||||
\(57\) | 7.21470 | + | 1.03732i | 0.955611 | + | 0.137396i | ||||
\(58\) | −5.10913 | − | 0.734582i | −0.670862 | − | 0.0964554i | ||||
\(59\) | 6.02106 | + | 3.86950i | 0.783875 | + | 0.503766i | 0.870318 | − | 0.492491i | \(-0.163914\pi\) |
−0.0864426 | + | 0.996257i | \(0.527550\pi\) | |||||||
\(60\) | 2.01609 | + | 0.967142i | 0.260277 | + | 0.124858i | ||||
\(61\) | 5.25295 | + | 11.5024i | 0.672572 | + | 1.47273i | 0.870326 | + | 0.492475i | \(0.163908\pi\) |
−0.197754 | + | 0.980252i | \(0.563365\pi\) | |||||||
\(62\) | −4.23205 | − | 6.58520i | −0.537471 | − | 0.836322i | ||||
\(63\) | 0.356855 | − | 1.21534i | 0.0449596 | − | 0.153118i | ||||
\(64\) | 0.654861 | − | 0.755750i | 0.0818576 | − | 0.0944687i | ||||
\(65\) | −4.62671 | + | 3.85852i | −0.573872 | + | 0.478591i | ||||
\(66\) | −1.69665 | + | 3.71514i | −0.208843 | + | 0.457302i | ||||
\(67\) | −7.81904 | + | 1.12421i | −0.955248 | + | 0.137344i | −0.602274 | − | 0.798289i | \(-0.705739\pi\) |
−0.352974 | + | 0.935633i | \(0.614830\pi\) | |||||||
\(68\) | − | 3.55845i | − | 0.431526i | ||||||
\(69\) | −4.45076 | − | 1.78627i | −0.535808 | − | 0.215041i | ||||
\(70\) | −1.12772 | − | 2.59812i | −0.134788 | − | 0.310534i | ||||
\(71\) | −0.584110 | − | 4.06257i | −0.0693211 | − | 0.482139i | −0.994677 | − | 0.103040i | \(-0.967143\pi\) |
0.925356 | − | 0.379099i | \(-0.123766\pi\) | |||||||
\(72\) | 0.909632 | + | 0.415415i | 0.107201 | + | 0.0489571i | ||||
\(73\) | −2.57822 | − | 8.78061i | −0.301758 | − | 1.02769i | −0.961181 | − | 0.275920i | \(-0.911017\pi\) |
0.659423 | − | 0.751772i | \(-0.270801\pi\) | |||||||
\(74\) | −1.58074 | + | 1.82428i | −0.183758 | + | 0.212068i | ||||
\(75\) | 2.54243 | + | 4.30535i | 0.293575 | + | 0.497139i | ||||
\(76\) | 6.13181 | − | 3.94067i | 0.703367 | − | 0.452026i | ||||
\(77\) | 4.70577 | − | 2.14905i | 0.536272 | − | 0.244907i | ||||
\(78\) | −2.03617 | + | 1.76435i | −0.230551 | + | 0.199773i | ||||
\(79\) | −11.4370 | − | 7.35012i | −1.28676 | − | 0.826953i | −0.295058 | − | 0.955479i | \(-0.595339\pi\) |
−0.991706 | + | 0.128527i | \(0.958975\pi\) | |||||||
\(80\) | 2.15701 | − | 0.589343i | 0.241161 | − | 0.0658906i | ||||
\(81\) | −0.142315 | + | 0.989821i | −0.0158128 | + | 0.109980i | ||||
\(82\) | 4.18260 | − | 6.50826i | 0.461891 | − | 0.718717i | ||||
\(83\) | −3.44158 | + | 2.98214i | −0.377762 | + | 0.327333i | −0.822960 | − | 0.568100i | \(-0.807679\pi\) |
0.445198 | + | 0.895432i | \(0.353133\pi\) | |||||||
\(84\) | −0.526184 | − | 1.15218i | −0.0574114 | − | 0.125713i | ||||
\(85\) | 4.42749 | − | 6.61137i | 0.480229 | − | 0.717104i | ||||
\(86\) | −10.0169 | − | 2.94122i | −1.08015 | − | 0.317160i | ||||
\(87\) | −3.90093 | − | 3.38018i | −0.418224 | − | 0.362393i | ||||
\(88\) | 1.15066 | + | 3.91878i | 0.122661 | + | 0.417744i | ||||
\(89\) | 5.16414 | − | 11.3079i | 0.547397 | − | 1.19863i | −0.410589 | − | 0.911820i | \(-0.634677\pi\) |
0.957987 | − | 0.286813i | \(-0.0925957\pi\) | |||||||
\(90\) | 1.17317 | + | 1.90359i | 0.123663 | + | 0.200657i | ||||
\(91\) | 3.41265 | 0.357743 | ||||||||
\(92\) | −4.53342 | + | 1.56465i | −0.472641 | + | 0.163127i | ||||
\(93\) | − | 7.82784i | − | 0.811710i | ||||||
\(94\) | 1.50954 | + | 10.4991i | 0.155697 | + | 1.08290i | ||||
\(95\) | 16.2956 | + | 0.307795i | 1.67189 | + | 0.0315791i | ||||
\(96\) | 0.959493 | − | 0.281733i | 0.0979278 | − | 0.0287542i | ||||
\(97\) | −3.41172 | − | 2.95627i | −0.346408 | − | 0.300164i | 0.464227 | − | 0.885716i | \(-0.346332\pi\) |
−0.810635 | + | 0.585552i | \(0.800878\pi\) | |||||||
\(98\) | 1.52012 | − | 5.17705i | 0.153555 | − | 0.522961i | ||||
\(99\) | −3.43587 | + | 2.20810i | −0.345318 | + | 0.221922i | ||||
\(100\) | 4.74085 | + | 1.58882i | 0.474085 | + | 0.158882i | ||||
\(101\) | 9.22744 | + | 10.6490i | 0.918164 | + | 1.05962i | 0.998025 | + | 0.0628122i | \(0.0200069\pi\) |
−0.0798610 | + | 0.996806i | \(0.525448\pi\) | |||||||
\(102\) | 1.92385 | − | 2.99356i | 0.190489 | − | 0.296407i | ||||
\(103\) | −11.5150 | − | 1.65560i | −1.13460 | − | 0.163131i | −0.450680 | − | 0.892686i | \(-0.648818\pi\) |
−0.683923 | + | 0.729555i | \(0.739727\pi\) | |||||||
\(104\) | −0.383430 | + | 2.66681i | −0.0375984 | + | 0.261503i | ||||
\(105\) | 0.455951 | − | 2.79537i | 0.0444962 | − | 0.272800i | ||||
\(106\) | 0.416664 | + | 0.480856i | 0.0404700 | + | 0.0467049i | ||||
\(107\) | −2.63967 | + | 1.20550i | −0.255186 | + | 0.116540i | −0.538901 | − | 0.842369i | \(-0.681160\pi\) |
0.283715 | + | 0.958909i | \(0.408433\pi\) | |||||||
\(108\) | 0.540641 | + | 0.841254i | 0.0520232 | + | 0.0809497i | ||||
\(109\) | −12.9306 | − | 3.79677i | −1.23853 | − | 0.363664i | −0.404066 | − | 0.914730i | \(-0.632403\pi\) |
−0.834462 | + | 0.551066i | \(0.814221\pi\) | |||||||
\(110\) | −2.73797 | + | 8.71251i | −0.261056 | + | 0.830706i | ||||
\(111\) | −2.31609 | + | 0.680064i | −0.219833 | + | 0.0645488i | ||||
\(112\) | −1.15218 | − | 0.526184i | −0.108871 | − | 0.0497197i | ||||
\(113\) | −3.89061 | + | 0.559385i | −0.365998 | + | 0.0526225i | −0.322860 | − | 0.946447i | \(-0.604644\pi\) |
−0.0431374 | + | 0.999069i | \(0.513735\pi\) | |||||||
\(114\) | 7.28889 | 0.682667 | ||||||||
\(115\) | −10.3696 | − | 2.73353i | −0.966967 | − | 0.254903i | ||||
\(116\) | −5.16167 | −0.479249 | ||||||||
\(117\) | −2.66681 | + | 0.383430i | −0.246547 | + | 0.0354481i | ||||
\(118\) | 6.51046 | + | 2.97323i | 0.599336 | + | 0.273708i | ||||
\(119\) | −4.32472 | + | 1.26985i | −0.396447 | + | 0.116407i | ||||
\(120\) | 2.13321 | + | 0.670378i | 0.194735 | + | 0.0611969i | ||||
\(121\) | −5.45076 | − | 1.60049i | −0.495524 | − | 0.145499i | ||||
\(122\) | 6.83644 | + | 10.6377i | 0.618943 | + | 0.963093i | ||||
\(123\) | 7.03726 | − | 3.21381i | 0.634528 | − | 0.289779i | ||||
\(124\) | −5.12615 | − | 5.91589i | −0.460342 | − | 0.531263i | ||||
\(125\) | 6.83134 | + | 8.85058i | 0.611014 | + | 0.791620i | ||||
\(126\) | 0.180263 | − | 1.25375i | 0.0160591 | − | 0.111693i | ||||
\(127\) | 22.1763 | + | 3.18847i | 1.96783 | + | 0.282931i | 0.999440 | + | 0.0334733i | \(0.0106569\pi\) |
0.968386 | + | 0.249457i | \(0.0802522\pi\) | |||||||
\(128\) | 0.540641 | − | 0.841254i | 0.0477863 | − | 0.0743570i | ||||
\(129\) | −6.83658 | − | 7.88984i | −0.601927 | − | 0.694661i | ||||
\(130\) | −4.03049 | + | 4.47770i | −0.353497 | + | 0.392720i | ||||
\(131\) | −10.3545 | + | 6.65445i | −0.904679 | + | 0.581402i | −0.908174 | − | 0.418592i | \(-0.862524\pi\) |
0.00349565 | + | 0.999994i | \(0.498887\pi\) | |||||||
\(132\) | −1.15066 | + | 3.91878i | −0.100152 | + | 0.341086i | ||||
\(133\) | −6.97742 | − | 6.04597i | −0.605019 | − | 0.524252i | ||||
\(134\) | −7.57947 | + | 2.22553i | −0.654766 | + | 0.192257i | ||||
\(135\) | −0.0422279 | + | 2.23567i | −0.00363440 | + | 0.192416i | ||||
\(136\) | −0.506421 | − | 3.52223i | −0.0434252 | − | 0.302029i | ||||
\(137\) | − | 0.824598i | − | 0.0704502i | −0.999379 | − | 0.0352251i | \(-0.988785\pi\) | ||
0.999379 | − | 0.0352251i | \(-0.0112148\pi\) | |||||||
\(138\) | −4.65967 | − | 1.13468i | −0.396657 | − | 0.0965902i | ||||
\(139\) | −4.75065 | −0.402945 | −0.201472 | − | 0.979494i | \(-0.564573\pi\) | ||||
−0.201472 | + | 0.979494i | \(0.564573\pi\) | |||||||
\(140\) | −1.48599 | − | 2.41118i | −0.125589 | − | 0.203782i | ||||
\(141\) | −4.40632 | + | 9.64849i | −0.371079 | + | 0.812549i | ||||
\(142\) | −1.15633 | − | 3.93810i | −0.0970370 | − | 0.330478i | ||||
\(143\) | −8.31617 | − | 7.20600i | −0.695433 | − | 0.602596i | ||||
\(144\) | 0.959493 | + | 0.281733i | 0.0799577 | + | 0.0234777i | ||||
\(145\) | −9.59005 | − | 6.42225i | −0.796410 | − | 0.533338i | ||||
\(146\) | −3.80159 | − | 8.32431i | −0.314622 | − | 0.688925i | ||||
\(147\) | 4.07773 | − | 3.53337i | 0.336325 | − | 0.291428i | ||||
\(148\) | −1.30503 | + | 2.03067i | −0.107273 | + | 0.166920i | ||||
\(149\) | −1.30572 | + | 9.08145i | −0.106968 | + | 0.743981i | 0.863778 | + | 0.503873i | \(0.168092\pi\) |
−0.970746 | + | 0.240108i | \(0.922817\pi\) | |||||||
\(150\) | 3.12927 | + | 3.89970i | 0.255504 | + | 0.318409i | ||||
\(151\) | −6.19039 | − | 3.97832i | −0.503767 | − | 0.323751i | 0.263954 | − | 0.964535i | \(-0.414973\pi\) |
−0.767721 | + | 0.640784i | \(0.778610\pi\) | |||||||
\(152\) | 5.50858 | − | 4.77321i | 0.446805 | − | 0.387158i | ||||
\(153\) | 3.23688 | − | 1.47824i | 0.261687 | − | 0.119508i | ||||
\(154\) | 4.35203 | − | 2.79688i | 0.350696 | − | 0.225379i | ||||
\(155\) | −2.16339 | − | 17.3694i | −0.173768 | − | 1.39514i | ||||
\(156\) | −1.76435 | + | 2.03617i | −0.141261 | + | 0.163024i | ||||
\(157\) | 3.08284 | + | 10.4992i | 0.246037 | + | 0.837925i | 0.986209 | + | 0.165507i | \(0.0529261\pi\) |
−0.740171 | + | 0.672418i | \(0.765256\pi\) | |||||||
\(158\) | −12.3666 | − | 5.64765i | −0.983836 | − | 0.449303i | ||||
\(159\) | 0.0905498 | + | 0.629787i | 0.00718106 | + | 0.0499454i | ||||
\(160\) | 2.05118 | − | 0.890319i | 0.162160 | − | 0.0703859i | ||||
\(161\) | 3.51936 | + | 4.95128i | 0.277364 | + | 0.390215i | ||||
\(162\) | 1.00000i | 0.0785674i | ||||||||
\(163\) | −20.3871 | + | 2.93123i | −1.59684 | + | 0.229591i | −0.882537 | − | 0.470243i | \(-0.844166\pi\) |
−0.714305 | + | 0.699834i | \(0.753257\pi\) | |||||||
\(164\) | 3.21381 | − | 7.03726i | 0.250956 | − | 0.549518i | ||||
\(165\) | −7.01367 | + | 5.84917i | −0.546014 | + | 0.455357i | ||||
\(166\) | −2.98214 | + | 3.44158i | −0.231459 | + | 0.267118i | ||||
\(167\) | 1.59585 | − | 5.43496i | 0.123490 | − | 0.420570i | −0.874421 | − | 0.485168i | \(-0.838758\pi\) |
0.997911 | + | 0.0645982i | \(0.0205766\pi\) | |||||||
\(168\) | −0.684801 | − | 1.06557i | −0.0528335 | − | 0.0822105i | ||||
\(169\) | 2.38493 | + | 5.22227i | 0.183456 | + | 0.401713i | ||||
\(170\) | 3.44153 | − | 7.17418i | 0.263953 | − | 0.550234i | ||||
\(171\) | 6.13181 | + | 3.94067i | 0.468911 | + | 0.301351i | ||||
\(172\) | −10.3335 | − | 1.48573i | −0.787921 | − | 0.113286i | ||||
\(173\) | 9.87692 | + | 1.42009i | 0.750928 | + | 0.107967i | 0.507143 | − | 0.861862i | \(-0.330702\pi\) |
0.243785 | + | 0.969829i | \(0.421611\pi\) | |||||||
\(174\) | −4.34227 | − | 2.79061i | −0.329187 | − | 0.211556i | ||||
\(175\) | 0.239162 | − | 6.32871i | 0.0180790 | − | 0.478406i | ||||
\(176\) | 1.69665 | + | 3.71514i | 0.127890 | + | 0.280039i | ||||
\(177\) | 3.86950 | + | 6.02106i | 0.290849 | + | 0.452570i | ||||
\(178\) | 3.50229 | − | 11.9277i | 0.262508 | − | 0.894020i | ||||
\(179\) | −5.26654 | + | 6.07791i | −0.393640 | + | 0.454284i | −0.917628 | − | 0.397441i | \(-0.869898\pi\) |
0.523988 | + | 0.851726i | \(0.324444\pi\) | |||||||
\(180\) | 1.43214 | + | 1.71726i | 0.106745 | + | 0.127997i | ||||
\(181\) | −5.25275 | + | 11.5019i | −0.390434 | + | 0.854931i | 0.607717 | + | 0.794153i | \(0.292085\pi\) |
−0.998151 | + | 0.0607777i | \(0.980642\pi\) | |||||||
\(182\) | 3.37791 | − | 0.485670i | 0.250387 | − | 0.0360003i | ||||
\(183\) | 12.6451i | 0.934751i | ||||||||
\(184\) | −4.26460 | + | 2.19390i | −0.314390 | + | 0.161737i | ||||
\(185\) | −4.95127 | + | 2.14911i | −0.364024 | + | 0.158006i | ||||
\(186\) | −1.11402 | − | 7.74817i | −0.0816838 | − | 0.568123i | ||||
\(187\) | 13.2202 | + | 6.03744i | 0.966753 | + | 0.441502i | ||||
\(188\) | 2.98834 | + | 10.1774i | 0.217947 | + | 0.742261i | ||||
\(189\) | 0.829477 | − | 0.957267i | 0.0603356 | − | 0.0696309i | ||||
\(190\) | 16.1735 | − | 2.01444i | 1.17335 | − | 0.146143i | ||||
\(191\) | 13.6933 | − | 8.80014i | 0.990811 | − | 0.636756i | 0.0584526 | − | 0.998290i | \(-0.481383\pi\) |
0.932359 | + | 0.361534i | \(0.117747\pi\) | |||||||
\(192\) | 0.909632 | − | 0.415415i | 0.0656470 | − | 0.0299800i | ||||
\(193\) | 13.5655 | − | 11.7546i | 0.976470 | − | 0.846116i | −0.0116299 | − | 0.999932i | \(-0.503702\pi\) |
0.988099 | + | 0.153817i | \(0.0491565\pi\) | |||||||
\(194\) | −3.79772 | − | 2.44064i | −0.272660 | − | 0.175228i | ||||
\(195\) | −5.81149 | + | 1.58783i | −0.416169 | + | 0.113707i | ||||
\(196\) | 0.767875 | − | 5.34069i | 0.0548482 | − | 0.381478i | ||||
\(197\) | 7.20479 | − | 11.2109i | 0.513320 | − | 0.798741i | −0.483753 | − | 0.875205i | \(-0.660727\pi\) |
0.997072 | + | 0.0764637i | \(0.0243629\pi\) | |||||||
\(198\) | −3.08665 | + | 2.67460i | −0.219359 | + | 0.190075i | ||||
\(199\) | −4.51814 | − | 9.89335i | −0.320283 | − | 0.701321i | 0.679184 | − | 0.733968i | \(-0.262334\pi\) |
−0.999467 | + | 0.0326467i | \(0.989606\pi\) | |||||||
\(200\) | 4.91871 | + | 0.897960i | 0.347805 | + | 0.0634954i | ||||
\(201\) | −7.57947 | − | 2.22553i | −0.534614 | − | 0.156977i | ||||
\(202\) | 10.6490 | + | 9.22744i | 0.749263 | + | 0.649240i | ||||
\(203\) | 1.84197 | + | 6.27317i | 0.129281 | + | 0.440291i | ||||
\(204\) | 1.47824 | − | 3.23688i | 0.103497 | − | 0.226627i | ||||
\(205\) | 14.7269 | − | 9.07609i | 1.02857 | − | 0.633901i | ||||
\(206\) | −11.6334 | −0.810535 | ||||||||
\(207\) | −3.30651 | − | 3.47376i | −0.229818 | − | 0.241443i | ||||
\(208\) | 2.69424i | 0.186812i | ||||||||
\(209\) | 4.23664 | + | 29.4665i | 0.293054 | + | 2.03824i | ||||
\(210\) | 0.0534878 | − | 2.83180i | 0.00369101 | − | 0.195413i | ||||
\(211\) | 24.3271 | − | 7.14309i | 1.67475 | − | 0.491750i | 0.699829 | − | 0.714310i | \(-0.253259\pi\) |
0.974919 | + | 0.222560i | \(0.0714413\pi\) | |||||||
\(212\) | 0.480856 | + | 0.416664i | 0.0330253 | + | 0.0286166i | ||||
\(213\) | 1.15633 | − | 3.93810i | 0.0792304 | − | 0.269834i | ||||
\(214\) | −2.44124 | + | 1.56889i | −0.166880 | + | 0.107247i | ||||
\(215\) | −17.3504 | − | 15.6175i | −1.18329 | − | 1.06511i | ||||
\(216\) | 0.654861 | + | 0.755750i | 0.0445576 | + | 0.0514222i | ||||
\(217\) | −5.36051 | + | 8.34112i | −0.363895 | + | 0.566232i | ||||
\(218\) | −13.3393 | − | 1.91791i | −0.903453 | − | 0.129897i | ||||
\(219\) | 1.30237 | − | 9.05815i | 0.0880057 | − | 0.612093i | ||||
\(220\) | −1.47019 | + | 9.01349i | −0.0991199 | + | 0.607689i | ||||
\(221\) | 6.27836 | + | 7.24562i | 0.422328 | + | 0.487393i | ||||
\(222\) | −2.19573 | + | 1.00276i | −0.147368 | + | 0.0673005i | ||||
\(223\) | −11.0368 | − | 17.1736i | −0.739077 | − | 1.15003i | −0.983597 | − | 0.180382i | \(-0.942266\pi\) |
0.244519 | − | 0.969644i | \(-0.421370\pi\) | |||||||
\(224\) | −1.21534 | − | 0.356855i | −0.0812032 | − | 0.0238434i | ||||
\(225\) | 0.524173 | + | 4.97245i | 0.0349449 | + | 0.331497i | ||||
\(226\) | −3.77140 | + | 1.10738i | −0.250870 | + | 0.0736620i | ||||
\(227\) | 0.286068 | + | 0.130643i | 0.0189870 | + | 0.00867109i | 0.424886 | − | 0.905247i | \(-0.360314\pi\) |
−0.405899 | + | 0.913918i | \(0.633041\pi\) | |||||||
\(228\) | 7.21470 | − | 1.03732i | 0.477805 | − | 0.0686980i | ||||
\(229\) | −17.3533 | −1.14674 | −0.573368 | − | 0.819298i | \(-0.694364\pi\) | ||||
−0.573368 | + | 0.819298i | \(0.694364\pi\) | |||||||
\(230\) | −10.6530 | − | 1.22997i | −0.702440 | − | 0.0811016i | ||||
\(231\) | 5.17327 | 0.340376 | ||||||||
\(232\) | −5.10913 | + | 0.734582i | −0.335431 | + | 0.0482277i | ||||
\(233\) | 0.959990 | + | 0.438413i | 0.0628910 | + | 0.0287214i | 0.446612 | − | 0.894728i | \(-0.352630\pi\) |
−0.383721 | + | 0.923449i | \(0.625358\pi\) | |||||||
\(234\) | −2.58510 | + | 0.759055i | −0.168993 | + | 0.0496210i | ||||
\(235\) | −7.11072 | + | 22.6270i | −0.463852 | + | 1.47602i | ||||
\(236\) | 6.86733 | + | 2.01643i | 0.447025 | + | 0.131258i | ||||
\(237\) | −7.35012 | − | 11.4370i | −0.477441 | − | 0.742913i | ||||
\(238\) | −4.09999 | + | 1.87240i | −0.265763 | + | 0.121370i | ||||
\(239\) | 19.3210 | + | 22.2976i | 1.24977 | + | 1.44231i | 0.850916 | + | 0.525302i | \(0.176047\pi\) |
0.398857 | + | 0.917013i | \(0.369407\pi\) | |||||||
\(240\) | 2.20690 | + | 0.359967i | 0.142455 | + | 0.0232358i | ||||
\(241\) | 1.33639 | − | 9.29483i | 0.0860847 | − | 0.598732i | −0.900423 | − | 0.435016i | \(-0.856743\pi\) |
0.986507 | − | 0.163716i | \(-0.0523482\pi\) | |||||||
\(242\) | −5.62306 | − | 0.808473i | −0.361464 | − | 0.0519706i | ||||
\(243\) | −0.540641 | + | 0.841254i | −0.0346821 | + | 0.0539664i | ||||
\(244\) | 8.28076 | + | 9.55651i | 0.530122 | + | 0.611793i | ||||
\(245\) | 8.07164 | − | 8.96724i | 0.515678 | − | 0.572896i | ||||
\(246\) | 6.50826 | − | 4.18260i | 0.414951 | − | 0.266673i | ||||
\(247\) | −5.53267 | + | 18.8425i | −0.352035 | + | 1.19892i | ||||
\(248\) | −5.91589 | − | 5.12615i | −0.375659 | − | 0.325511i | ||||
\(249\) | −4.36939 | + | 1.28297i | −0.276899 | + | 0.0813049i | ||||
\(250\) | 8.02138 | + | 7.78830i | 0.507316 | + | 0.492575i | ||||
\(251\) | 0.570550 | + | 3.96826i | 0.0360128 | + | 0.250474i | 0.999873 | − | 0.0159339i | \(-0.00507213\pi\) |
−0.963860 | + | 0.266408i | \(0.914163\pi\) | |||||||
\(252\) | − | 1.26665i | − | 0.0797912i | ||||||
\(253\) | 1.87870 | − | 19.4969i | 0.118113 | − | 1.22576i | ||||
\(254\) | 22.4043 | 1.40577 | ||||||||
\(255\) | 6.77385 | − | 4.17467i | 0.424195 | − | 0.261428i | ||||
\(256\) | 0.415415 | − | 0.909632i | 0.0259634 | − | 0.0568520i | ||||
\(257\) | 1.36119 | + | 4.63578i | 0.0849085 | + | 0.289172i | 0.990991 | − | 0.133930i | \(-0.0427596\pi\) |
−0.906082 | + | 0.423101i | \(0.860941\pi\) | |||||||
\(258\) | −7.88984 | − | 6.83658i | −0.491200 | − | 0.425627i | ||||
\(259\) | 2.93366 | + | 0.861400i | 0.182289 | + | 0.0535248i | ||||
\(260\) | −3.35222 | + | 5.00572i | −0.207896 | + | 0.310441i | ||||
\(261\) | −2.14424 | − | 4.69522i | −0.132725 | − | 0.290627i | ||||
\(262\) | −9.30210 | + | 8.06032i | −0.574686 | + | 0.497968i | ||||
\(263\) | −8.08405 | + | 12.5790i | −0.498484 | + | 0.775657i | −0.995765 | − | 0.0919330i | \(-0.970695\pi\) |
0.497281 | + | 0.867590i | \(0.334332\pi\) | |||||||
\(264\) | −0.581246 | + | 4.04265i | −0.0357732 | + | 0.248808i | ||||
\(265\) | 0.374978 | + | 1.37242i | 0.0230347 | + | 0.0843074i | ||||
\(266\) | −7.76683 | − | 4.99144i | −0.476215 | − | 0.306045i | ||||
\(267\) | 9.39493 | − | 8.14075i | 0.574960 | − | 0.498206i | ||||
\(268\) | −7.18559 | + | 3.28155i | −0.438930 | + | 0.200453i | ||||
\(269\) | 16.9646 | − | 10.9025i | 1.03435 | − | 0.664736i | 0.0907662 | − | 0.995872i | \(-0.471068\pi\) |
0.943583 | + | 0.331136i | \(0.107432\pi\) | |||||||
\(270\) | 0.276371 | + | 2.21892i | 0.0168194 | + | 0.135039i | ||||
\(271\) | 0.0391892 | − | 0.0452268i | 0.00238058 | − | 0.00274733i | −0.754558 | − | 0.656233i | \(-0.772149\pi\) |
0.756939 | + | 0.653486i | \(0.226694\pi\) | |||||||
\(272\) | −1.00253 | − | 3.41431i | −0.0607874 | − | 0.207023i | ||||
\(273\) | 3.10425 | + | 1.41766i | 0.187878 | + | 0.0858010i | ||||
\(274\) | −0.117353 | − | 0.816205i | −0.00708953 | − | 0.0493087i | ||||
\(275\) | −13.9463 | + | 14.9172i | −0.840991 | + | 0.899543i | ||||
\(276\) | −4.77372 | − | 0.459989i | −0.287344 | − | 0.0276881i | ||||
\(277\) | − | 5.88242i | − | 0.353440i | −0.984261 | − | 0.176720i | \(-0.943451\pi\) | ||
0.984261 | − | 0.176720i | \(-0.0565487\pi\) | |||||||
\(278\) | −4.70230 | + | 0.676088i | −0.282025 | + | 0.0405491i | ||||
\(279\) | 3.25180 | − | 7.12046i | 0.194680 | − | 0.426291i | ||||
\(280\) | −1.81401 | − | 2.17516i | −0.108408 | − | 0.129991i | ||||
\(281\) | 8.29639 | − | 9.57454i | 0.494921 | − | 0.571169i | −0.452253 | − | 0.891890i | \(-0.649380\pi\) |
0.947174 | + | 0.320720i | \(0.103925\pi\) | |||||||
\(282\) | −2.98834 | + | 10.1774i | −0.177953 | + | 0.606053i | ||||
\(283\) | −2.33833 | − | 3.63851i | −0.138999 | − | 0.216287i | 0.764774 | − | 0.644299i | \(-0.222851\pi\) |
−0.903773 | + | 0.428012i | \(0.859214\pi\) | |||||||
\(284\) | −1.70501 | − | 3.73345i | −0.101174 | − | 0.221539i | ||||
\(285\) | 14.6951 | + | 7.04940i | 0.870462 | + | 0.417570i | ||||
\(286\) | −9.25705 | − | 5.94914i | −0.547381 | − | 0.351780i | ||||
\(287\) | −9.69951 | − | 1.39458i | −0.572544 | − | 0.0823194i | ||||
\(288\) | 0.989821 | + | 0.142315i | 0.0583258 | + | 0.00838598i | ||||
\(289\) | 3.64886 | + | 2.34498i | 0.214639 | + | 0.137940i | ||||
\(290\) | −10.4064 | − | 4.99207i | −0.611086 | − | 0.293144i | ||||
\(291\) | −1.87533 | − | 4.10640i | −0.109934 | − | 0.240722i | ||||
\(292\) | −4.94757 | − | 7.69856i | −0.289534 | − | 0.450524i | ||||
\(293\) | −2.77510 | + | 9.45112i | −0.162123 | + | 0.552140i | 0.837857 | + | 0.545889i | \(0.183808\pi\) |
−0.999980 | + | 0.00625131i | \(0.998010\pi\) | |||||||
\(294\) | 3.53337 | − | 4.07773i | 0.206070 | − | 0.237818i | ||||
\(295\) | 10.2502 | + | 12.2908i | 0.596788 | + | 0.715601i | ||||
\(296\) | −1.00276 | + | 2.19573i | −0.0582840 | + | 0.127624i | ||||
\(297\) | −4.04265 | + | 0.581246i | −0.234578 | + | 0.0337273i | ||||
\(298\) | 9.17483i | 0.531484i | ||||||||
\(299\) | 6.47020 | − | 11.1844i | 0.374181 | − | 0.646813i | ||||
\(300\) | 3.65240 | + | 3.41467i | 0.210872 | + | 0.197146i | ||||
\(301\) | 1.88190 | + | 13.0889i | 0.108471 | + | 0.754430i | ||||
\(302\) | −6.69356 | − | 3.05685i | −0.385171 | − | 0.175902i | ||||
\(303\) | 3.96981 | + | 13.5199i | 0.228059 | + | 0.776699i | ||||
\(304\) | 4.77321 | − | 5.50858i | 0.273762 | − | 0.315939i | ||||
\(305\) | 3.49473 | + | 28.0584i | 0.200108 | + | 1.60662i | ||||
\(306\) | 2.99356 | − | 1.92385i | 0.171131 | − | 0.109979i | ||||
\(307\) | −3.04913 | + | 1.39249i | −0.174023 | + | 0.0794738i | −0.500522 | − | 0.865724i | \(-0.666858\pi\) |
0.326498 | + | 0.945198i | \(0.394131\pi\) | |||||||
\(308\) | 3.90969 | − | 3.38777i | 0.222775 | − | 0.193036i | ||||
\(309\) | −9.78661 | − | 6.28947i | −0.556741 | − | 0.357796i | ||||
\(310\) | −4.61329 | − | 16.8847i | −0.262017 | − | 0.958987i | ||||
\(311\) | −1.05765 | + | 7.35612i | −0.0599739 | + | 0.417128i | 0.937612 | + | 0.347684i | \(0.113032\pi\) |
−0.997586 | + | 0.0694441i | \(0.977877\pi\) | |||||||
\(312\) | −1.45662 | + | 2.26654i | −0.0824646 | + | 0.128317i | ||||
\(313\) | 12.9806 | − | 11.2477i | 0.733705 | − | 0.635759i | −0.205681 | − | 0.978619i | \(-0.565941\pi\) |
0.939387 | + | 0.342860i | \(0.111396\pi\) | |||||||
\(314\) | 4.54565 | + | 9.95358i | 0.256526 | + | 0.561713i | ||||
\(315\) | 1.57598 | − | 2.35335i | 0.0887967 | − | 0.132596i | ||||
\(316\) | −13.0445 | − | 3.83021i | −0.733810 | − | 0.215466i | ||||
\(317\) | 19.7859 | + | 17.1446i | 1.11128 | + | 0.962934i | 0.999526 | − | 0.0308014i | \(-0.00980593\pi\) |
0.111759 | + | 0.993735i | \(0.464351\pi\) | |||||||
\(318\) | 0.179256 | + | 0.610491i | 0.0100522 | + | 0.0342346i | ||||
\(319\) | 8.75754 | − | 19.1763i | 0.490328 | − | 1.07367i | ||||
\(320\) | 1.90359 | − | 1.17317i | 0.106414 | − | 0.0655822i | ||||
\(321\) | −2.90191 | −0.161969 | ||||||||
\(322\) | 4.18818 | + | 4.40002i | 0.233398 | + | 0.245204i | ||||
\(323\) | − | 25.9372i | − | 1.44318i | ||||||
\(324\) | 0.142315 | + | 0.989821i | 0.00790638 | + | 0.0549901i | ||||
\(325\) | −12.4564 | + | 5.12940i | −0.690958 | + | 0.284528i | ||||
\(326\) | −19.7625 | + | 5.80278i | −1.09454 | + | 0.321386i | ||||
\(327\) | −10.1849 | − | 8.82523i | −0.563224 | − | 0.488036i | ||||
\(328\) | 2.17959 | − | 7.42300i | 0.120348 | − | 0.409867i | ||||
\(329\) | 11.3025 | − | 7.26370i | 0.623129 | − | 0.400461i | ||||
\(330\) | −6.10986 | + | 6.78779i | −0.336337 | + | 0.373655i | ||||
\(331\) | 6.34806 | + | 7.32605i | 0.348921 | + | 0.402676i | 0.902897 | − | 0.429856i | \(-0.141436\pi\) |
−0.553976 | + | 0.832532i | \(0.686890\pi\) | |||||||
\(332\) | −2.46200 | + | 3.83095i | −0.135120 | + | 0.210251i | ||||
\(333\) | −2.38929 | − | 0.343529i | −0.130933 | − | 0.0188253i | ||||
\(334\) | 0.806129 | − | 5.60675i | 0.0441094 | − | 0.306788i | ||||
\(335\) | −17.4333 | − | 2.84354i | −0.952484 | − | 0.155359i | ||||
\(336\) | −0.829477 | − | 0.957267i | −0.0452517 | − | 0.0522232i | ||||
\(337\) | 31.7032 | − | 14.4784i | 1.72698 | − | 0.788687i | 0.732868 | − | 0.680371i | \(-0.238181\pi\) |
0.994116 | − | 0.108317i | \(-0.0345461\pi\) | |||||||
\(338\) | 3.10386 | + | 4.82970i | 0.168828 | + | 0.262701i | ||||
\(339\) | −3.77140 | − | 1.10738i | −0.204834 | − | 0.0601448i | ||||
\(340\) | 2.38551 | − | 7.59094i | 0.129372 | − | 0.411676i | ||||
\(341\) | 30.6756 | − | 9.00718i | 1.66118 | − | 0.487766i | ||||
\(342\) | 6.63021 | + | 3.02792i | 0.358521 | + | 0.163731i | ||||
\(343\) | −15.5410 | + | 2.23446i | −0.839137 | + | 0.120650i | ||||
\(344\) | −10.4397 | −0.562874 | ||||||||
\(345\) | −8.29693 | − | 6.79418i | −0.446692 | − | 0.365786i | ||||
\(346\) | 9.97848 | 0.536447 | ||||||||
\(347\) | −1.22048 | + | 0.175479i | −0.0655190 | + | 0.00942021i | −0.174996 | − | 0.984569i | \(-0.555991\pi\) |
0.109477 | + | 0.993989i | \(0.465082\pi\) | |||||||
\(348\) | −4.69522 | − | 2.14424i | −0.251690 | − | 0.114943i | ||||
\(349\) | 1.86909 | − | 0.548815i | 0.100050 | − | 0.0293774i | −0.231324 | − | 0.972877i | \(-0.574306\pi\) |
0.331375 | + | 0.943499i | \(0.392488\pi\) | |||||||
\(350\) | −0.663942 | − | 6.29833i | −0.0354892 | − | 0.336660i | ||||
\(351\) | −2.58510 | − | 0.759055i | −0.137983 | − | 0.0405153i | ||||
\(352\) | 2.20810 | + | 3.43587i | 0.117692 | + | 0.183132i | ||||
\(353\) | −3.09167 | + | 1.41192i | −0.164553 | + | 0.0751488i | −0.495989 | − | 0.868329i | \(-0.665194\pi\) |
0.331436 | + | 0.943478i | \(0.392467\pi\) | |||||||
\(354\) | 4.68700 | + | 5.40908i | 0.249111 | + | 0.287490i | ||||
\(355\) | 1.47743 | − | 9.05791i | 0.0784139 | − | 0.480744i | ||||
\(356\) | 1.76915 | − | 12.3047i | 0.0937650 | − | 0.652150i | ||||
\(357\) | −4.46142 | − | 0.641456i | −0.236124 | − | 0.0339494i | ||||
\(358\) | −4.34796 | + | 6.76555i | −0.229797 | + | 0.357571i | ||||
\(359\) | 13.1509 | + | 15.1770i | 0.694078 | + | 0.801009i | 0.987940 | − | 0.154839i | \(-0.0494859\pi\) |
−0.293862 | + | 0.955848i | \(0.594940\pi\) | |||||||
\(360\) | 1.66195 | + | 1.49597i | 0.0875926 | + | 0.0788443i | ||||
\(361\) | 28.7103 | − | 18.4510i | 1.51107 | − | 0.971104i | ||||
\(362\) | −3.56239 | + | 12.1324i | −0.187235 | + | 0.637664i | ||||
\(363\) | −4.29332 | − | 3.72018i | −0.225341 | − | 0.195259i | ||||
\(364\) | 3.27441 | − | 0.961454i | 0.171626 | − | 0.0503939i | ||||
\(365\) | 0.386440 | − | 20.4593i | 0.0202272 | − | 1.07089i | ||||
\(366\) | 1.79958 | + | 12.5164i | 0.0940657 | + | 0.654241i | ||||
\(367\) | 28.8414i | 1.50551i | 0.658302 | + | 0.752754i | \(0.271275\pi\) | ||||
−0.658302 | + | 0.752754i | \(0.728725\pi\) | |||||||
\(368\) | −3.90897 | + | 2.77849i | −0.203769 | + | 0.144839i | ||||
\(369\) | 7.73638 | 0.402740 | ||||||||
\(370\) | −4.59502 | + | 2.83187i | −0.238884 | + | 0.147222i | ||||
\(371\) | 0.334792 | − | 0.733091i | 0.0173815 | − | 0.0380602i | ||||
\(372\) | −2.20536 | − | 7.51076i | −0.114343 | − | 0.389415i | ||||
\(373\) | 23.4105 | + | 20.2853i | 1.21215 | + | 1.05033i | 0.997281 | + | 0.0736888i | \(0.0234771\pi\) |
0.214867 | + | 0.976643i | \(0.431068\pi\) | |||||||
\(374\) | 13.9448 | + | 4.09457i | 0.721069 | + | 0.211725i | ||||
\(375\) | 2.53734 | + | 10.8886i | 0.131028 | + | 0.562286i | ||||
\(376\) | 4.40632 | + | 9.64849i | 0.227238 | + | 0.497583i | ||||
\(377\) | 10.5100 | − | 9.10700i | 0.541294 | − | 0.469034i | ||||
\(378\) | 0.684801 | − | 1.06557i | 0.0352223 | − | 0.0548070i | ||||
\(379\) | −4.26686 | + | 29.6767i | −0.219174 | + | 1.52439i | 0.521925 | + | 0.852991i | \(0.325214\pi\) |
−0.741099 | + | 0.671396i | \(0.765695\pi\) | |||||||
\(380\) | 15.7222 | − | 4.29566i | 0.806531 | − | 0.220363i | ||||
\(381\) | 18.8477 | + | 12.1127i | 0.965597 | + | 0.620552i | ||||
\(382\) | 12.3015 | − | 10.6593i | 0.629400 | − | 0.545379i | ||||
\(383\) | 11.3111 | − | 5.16559i | 0.577968 | − | 0.263949i | −0.104910 | − | 0.994482i | \(-0.533455\pi\) |
0.682878 | + | 0.730532i | \(0.260728\pi\) | |||||||
\(384\) | 0.841254 | − | 0.540641i | 0.0429300 | − | 0.0275895i | ||||
\(385\) | 11.4791 | − | 1.42974i | 0.585028 | − | 0.0728663i | ||||
\(386\) | 11.7546 | − | 13.5655i | 0.598294 | − | 0.690468i | ||||
\(387\) | −2.94122 | − | 10.0169i | −0.149510 | − | 0.509186i | ||||
\(388\) | −4.10640 | − | 1.87533i | −0.208471 | − | 0.0952055i | ||||
\(389\) | 2.69077 | + | 18.7147i | 0.136427 | + | 0.948873i | 0.936923 | + | 0.349535i | \(0.113660\pi\) |
−0.800496 | + | 0.599338i | \(0.795430\pi\) | |||||||
\(390\) | −5.52636 | + | 2.39873i | −0.279838 | + | 0.121464i | ||||
\(391\) | −4.03770 | + | 16.5812i | −0.204195 | + | 0.838548i | ||||
\(392\) | − | 5.39561i | − | 0.272519i | ||||||
\(393\) | −12.1832 | + | 1.75167i | −0.614559 | + | 0.0883603i | ||||
\(394\) | 5.53598 | − | 12.1221i | 0.278899 | − | 0.610703i | ||||
\(395\) | −19.4702 | − | 23.3465i | −0.979652 | − | 1.17469i | ||||
\(396\) | −2.67460 | + | 3.08665i | −0.134404 | + | 0.155110i | ||||
\(397\) | −1.46148 | + | 4.97733i | −0.0733494 | + | 0.249805i | −0.988003 | − | 0.154433i | \(-0.950645\pi\) |
0.914654 | + | 0.404238i | \(0.132463\pi\) | |||||||
\(398\) | −5.88012 | − | 9.14965i | −0.294744 | − | 0.458631i | ||||
\(399\) | −3.83530 | − | 8.39813i | −0.192005 | − | 0.420432i | ||||
\(400\) | 4.99643 | + | 0.188815i | 0.249822 | + | 0.00944076i | ||||
\(401\) | −14.1043 | − | 9.06425i | −0.704333 | − | 0.452647i | 0.138823 | − | 0.990317i | \(-0.455668\pi\) |
−0.843155 | + | 0.537670i | \(0.819305\pi\) | |||||||
\(402\) | −7.81904 | − | 1.12421i | −0.389978 | − | 0.0560704i | ||||
\(403\) | 20.8754 | + | 3.00143i | 1.03988 | + | 0.149512i | ||||
\(404\) | 11.8538 | + | 7.61800i | 0.589751 | + | 0.379010i | ||||
\(405\) | −0.967142 | + | 2.01609i | −0.0480577 | + | 0.100181i | ||||
\(406\) | 2.71599 | + | 5.94718i | 0.134792 | + | 0.295154i | ||||
\(407\) | −5.33005 | − | 8.29372i | −0.264201 | − | 0.411104i | ||||
\(408\) | 1.00253 | − | 3.41431i | 0.0496327 | − | 0.169034i | ||||
\(409\) | −9.43089 | + | 10.8838i | −0.466328 | + | 0.538171i | −0.939386 | − | 0.342860i | \(-0.888604\pi\) |
0.473059 | + | 0.881031i | \(0.343150\pi\) | |||||||
\(410\) | 13.2854 | − | 11.0796i | 0.656118 | − | 0.547181i | ||||
\(411\) | 0.342550 | − | 0.750081i | 0.0168968 | − | 0.0369988i | ||||
\(412\) | −11.5150 | + | 1.65560i | −0.567301 | + | 0.0815656i | ||||
\(413\) | − | 9.06570i | − | 0.446094i | ||||||
\(414\) | −3.76722 | − | 2.96784i | −0.185149 | − | 0.145861i | ||||
\(415\) | −9.34077 | + | 4.05438i | −0.458521 | + | 0.199022i | ||||
\(416\) | 0.383430 | + | 2.66681i | 0.0187992 | + | 0.130751i | ||||
\(417\) | −4.32134 | − | 1.97349i | −0.211617 | − | 0.0966423i | ||||
\(418\) | 8.38703 | + | 28.5636i | 0.410223 | + | 1.39709i | ||||
\(419\) | 1.99300 | − | 2.30005i | 0.0973647 | − | 0.112365i | −0.704976 | − | 0.709231i | \(-0.749042\pi\) |
0.802341 | + | 0.596866i | \(0.203588\pi\) | |||||||
\(420\) | −0.350064 | − | 2.81059i | −0.0170814 | − | 0.137143i | ||||
\(421\) | −18.8368 | + | 12.1057i | −0.918049 | + | 0.589994i | −0.912091 | − | 0.409988i | \(-0.865533\pi\) |
−0.00595790 | + | 0.999982i | \(0.501896\pi\) | |||||||
\(422\) | 23.0629 | − | 10.5325i | 1.12269 | − | 0.512714i | ||||
\(423\) | −8.01625 | + | 6.94612i | −0.389764 | + | 0.337732i | ||||
\(424\) | 0.535259 | + | 0.343990i | 0.0259945 | + | 0.0167056i | ||||
\(425\) | 13.8769 | − | 11.1354i | 0.673129 | − | 0.540145i | ||||
\(426\) | 0.584110 | − | 4.06257i | 0.0283002 | − | 0.196832i | ||||
\(427\) | 8.65935 | − | 13.4742i | 0.419056 | − | 0.652063i | ||||
\(428\) | −2.19311 | + | 1.90034i | −0.106008 | + | 0.0918566i | ||||
\(429\) | −4.57117 | − | 10.0095i | −0.220698 | − | 0.483262i | ||||
\(430\) | −19.3964 | − | 12.9893i | −0.935376 | − | 0.626401i | ||||
\(431\) | 11.7913 | + | 3.46224i | 0.567967 | + | 0.166770i | 0.553093 | − | 0.833119i | \(-0.313447\pi\) |
0.0148733 | + | 0.999889i | \(0.495266\pi\) | |||||||
\(432\) | 0.755750 | + | 0.654861i | 0.0363610 | + | 0.0315070i | ||||
\(433\) | 1.02899 | + | 3.50443i | 0.0494503 | + | 0.168412i | 0.980516 | − | 0.196439i | \(-0.0629379\pi\) |
−0.931066 | + | 0.364852i | \(0.881120\pi\) | |||||||
\(434\) | −4.11889 | + | 9.01910i | −0.197713 | + | 0.432931i | ||||
\(435\) | −6.05552 | − | 9.82573i | −0.290340 | − | 0.471108i | ||||
\(436\) | −13.4765 | −0.645407 | ||||||||
\(437\) | −33.0436 | + | 11.4046i | −1.58069 | + | 0.545556i | ||||
\(438\) | − | 9.15130i | − | 0.437266i | ||||||
\(439\) | −0.116094 | − | 0.807454i | −0.00554088 | − | 0.0385377i | 0.986863 | − | 0.161557i | \(-0.0516515\pi\) |
−0.992404 | + | 0.123019i | \(0.960742\pi\) | |||||||
\(440\) | −0.172468 | + | 9.13097i | −0.00822210 | + | 0.435302i | ||||
\(441\) | 5.17705 | − | 1.52012i | 0.246526 | − | 0.0723866i | ||||
\(442\) | 7.24562 | + | 6.27836i | 0.344639 | + | 0.298631i | ||||
\(443\) | −11.3745 | + | 38.7379i | −0.540417 | + | 1.84049i | 0.00140475 | + | 0.999999i | \(0.499553\pi\) |
−0.541822 | + | 0.840493i | \(0.682265\pi\) | |||||||
\(444\) | −2.03067 | + | 1.30503i | −0.0963714 | + | 0.0619341i | ||||
\(445\) | 18.5968 | − | 20.6602i | 0.881571 | − | 0.979387i | ||||
\(446\) | −13.3685 | − | 15.4281i | −0.633016 | − | 0.730540i | ||||
\(447\) | −4.96029 | + | 7.71836i | −0.234614 | + | 0.365066i | ||||
\(448\) | −1.25375 | − | 0.180263i | −0.0592343 | − | 0.00851660i | ||||
\(449\) | 0.269571 | − | 1.87491i | 0.0127219 | − | 0.0884825i | −0.982471 | − | 0.186414i | \(-0.940313\pi\) |
0.995193 | + | 0.0979314i | \(0.0312226\pi\) | |||||||
\(450\) | 1.22649 | + | 4.84724i | 0.0578173 | + | 0.228501i | ||||
\(451\) | 20.6917 | + | 23.8795i | 0.974334 | + | 1.12444i | ||||
\(452\) | −3.57541 | + | 1.63284i | −0.168173 | + | 0.0768022i | ||||
\(453\) | −3.97832 | − | 6.19039i | −0.186918 | − | 0.290850i | ||||
\(454\) | 0.301749 | + | 0.0886015i | 0.0141618 | + | 0.00415828i | ||||
\(455\) | 7.27990 | + | 2.28776i | 0.341287 | + | 0.107252i | ||||
\(456\) | 6.99364 | − | 2.05352i | 0.327507 | − | 0.0961648i | ||||
\(457\) | 22.6588 | + | 10.3479i | 1.05993 | + | 0.484055i | 0.867594 | − | 0.497274i | \(-0.165666\pi\) |
0.192338 | + | 0.981329i | \(0.438393\pi\) | |||||||
\(458\) | −17.1766 | + | 2.46963i | −0.802612 | + | 0.115398i | ||||
\(459\) | 3.55845 | 0.166094 | ||||||||
\(460\) | −10.7196 | + | 0.298637i | −0.499806 | + | 0.0139240i | ||||
\(461\) | 4.06186 | 0.189180 | 0.0945899 | − | 0.995516i | \(-0.469846\pi\) | ||||
0.0945899 | + | 0.995516i | \(0.469846\pi\) | |||||||
\(462\) | 5.12061 | − | 0.736232i | 0.238232 | − | 0.0342526i | ||||
\(463\) | 15.5823 | + | 7.11620i | 0.724171 | + | 0.330718i | 0.743171 | − | 0.669102i | \(-0.233321\pi\) |
−0.0189997 | + | 0.999819i | \(0.506048\pi\) | |||||||
\(464\) | −4.95259 | + | 1.45421i | −0.229918 | + | 0.0675100i | ||||
\(465\) | 5.24762 | − | 16.6985i | 0.243352 | − | 0.774372i | ||||
\(466\) | 1.01261 | + | 0.297330i | 0.0469083 | + | 0.0137735i | ||||
\(467\) | −13.5647 | − | 21.1071i | −0.627700 | − | 0.976721i | −0.998840 | − | 0.0481439i | \(-0.984669\pi\) |
0.371140 | − | 0.928577i | \(-0.378967\pi\) | |||||||
\(468\) | −2.45077 | + | 1.11923i | −0.113287 | + | 0.0517363i | ||||
\(469\) | 6.55241 | + | 7.56188i | 0.302562 | + | 0.349175i | ||||
\(470\) | −3.81818 | + | 23.4087i | −0.176119 | + | 1.07976i | ||||
\(471\) | −1.55727 | + | 10.8310i | −0.0717552 | + | 0.499068i | ||||
\(472\) | 7.08439 | + | 1.01858i | 0.326086 | + | 0.0468840i | ||||
\(473\) | 23.0520 | − | 35.8696i | 1.05993 | − | 1.64929i | ||||
\(474\) | −8.90296 | − | 10.2746i | −0.408926 | − | 0.471926i | ||||
\(475\) | 34.5555 | + | 11.5808i | 1.58552 | + | 0.531362i | ||||
\(476\) | −3.79178 | + | 2.43683i | −0.173796 | + | 0.111692i | ||||
\(477\) | −0.179256 | + | 0.610491i | −0.00820758 | + | 0.0279524i | ||||
\(478\) | 22.2976 | + | 19.3210i | 1.01987 | + | 0.883723i | ||||
\(479\) | −13.5821 | + | 3.98806i | −0.620581 | + | 0.182219i | −0.576884 | − | 0.816826i | \(-0.695732\pi\) |
−0.0436967 | + | 0.999045i | \(0.513914\pi\) | |||||||
\(480\) | 2.23567 | + | 0.0422279i | 0.102044 | + | 0.00192743i | ||||
\(481\) | −0.925548 | − | 6.43733i | −0.0422014 | − | 0.293517i | ||||
\(482\) | − | 9.39041i | − | 0.427721i | ||||||
\(483\) | 1.14449 | + | 5.96583i | 0.0520759 | + | 0.271455i | ||||
\(484\) | −5.68088 | −0.258222 | ||||||||
\(485\) | −5.29611 | − | 8.59350i | −0.240484 | − | 0.390211i | ||||
\(486\) | −0.415415 | + | 0.909632i | −0.0188436 | + | 0.0412617i | ||||
\(487\) | −2.09173 | − | 7.12376i | −0.0947851 | − | 0.322808i | 0.898427 | − | 0.439122i | \(-0.144710\pi\) |
−0.993213 | + | 0.116314i | \(0.962892\pi\) | |||||||
\(488\) | 9.55651 | + | 8.28076i | 0.432603 | + | 0.374853i | ||||
\(489\) | −19.7625 | − | 5.80278i | −0.893689 | − | 0.262411i | ||||
\(490\) | 6.71331 | − | 10.0247i | 0.303277 | − | 0.452869i | ||||
\(491\) | −15.8472 | − | 34.7006i | −0.715176 | − | 1.56602i | −0.820544 | − | 0.571583i | \(-0.806329\pi\) |
0.105368 | − | 0.994433i | \(-0.466398\pi\) | |||||||
\(492\) | 5.84677 | − | 5.06625i | 0.263593 | − | 0.228404i | ||||
\(493\) | −9.93026 | + | 15.4518i | −0.447236 | + | 0.695913i | ||||
\(494\) | −2.79478 | + | 19.4381i | −0.125743 | + | 0.874563i | ||||
\(495\) | −8.80969 | + | 2.40701i | −0.395966 | + | 0.108187i | ||||
\(496\) | −6.58520 | − | 4.23205i | −0.295684 | − | 0.190025i | ||||
\(497\) | −3.92896 | + | 3.40446i | −0.176238 | + | 0.152711i | ||||
\(498\) | −4.14233 | + | 1.89174i | −0.185622 | + | 0.0847709i | ||||
\(499\) | 16.2211 | − | 10.4247i | 0.726157 | − | 0.466673i | −0.124617 | − | 0.992205i | \(-0.539770\pi\) |
0.850774 | + | 0.525532i | \(0.176134\pi\) | |||||||
\(500\) | 9.04812 | + | 6.56746i | 0.404644 | + | 0.293706i | ||||
\(501\) | 3.70940 | − | 4.28087i | 0.165724 | − | 0.191255i | ||||
\(502\) | 1.12948 | + | 3.84667i | 0.0504114 | + | 0.171685i | ||||
\(503\) | 18.2705 | + | 8.34384i | 0.814640 | + | 0.372033i | 0.778759 | − | 0.627323i | \(-0.215849\pi\) |
0.0358801 | + | 0.999356i | \(0.488577\pi\) | |||||||
\(504\) | −0.180263 | − | 1.25375i | −0.00802953 | − | 0.0558466i | ||||
\(505\) | 12.5452 | + | 28.9025i | 0.558254 | + | 1.28614i | ||||
\(506\) | −0.915129 | − | 19.5659i | −0.0406824 | − | 0.869808i | ||||
\(507\) | 5.74108i | 0.254970i | ||||||||
\(508\) | 22.1763 | − | 3.18847i | 0.983913 | − | 0.141465i | ||||
\(509\) | −10.8169 | + | 23.6856i | −0.479448 | + | 1.04985i | 0.503166 | + | 0.864190i | \(0.332168\pi\) |
−0.982615 | + | 0.185656i | \(0.940559\pi\) | |||||||
\(510\) | 6.11079 | − | 5.09620i | 0.270590 | − | 0.225663i | ||||
\(511\) | −7.59079 | + | 8.76024i | −0.335797 | + | 0.387530i | ||||
\(512\) | 0.281733 | − | 0.959493i | 0.0124509 | − | 0.0424040i | ||||
\(513\) | 3.94067 | + | 6.13181i | 0.173985 | + | 0.270726i | ||||
\(514\) | 2.00707 | + | 4.39487i | 0.0885281 | + | 0.193850i | ||||
\(515\) | −23.4540 | − | 11.2511i | −1.03350 | − | 0.495784i | ||||
\(516\) | −8.78248 | − | 5.64415i | −0.386627 | − | 0.248470i | ||||
\(517\) | −42.8805 | − | 6.16529i | −1.88588 | − | 0.271149i | ||||
\(518\) | 3.02639 | + | 0.435129i | 0.132972 | + | 0.0191185i | ||||
\(519\) | 8.39443 | + | 5.39478i | 0.368475 | + | 0.236804i | ||||
\(520\) | −2.60571 | + | 5.43184i | −0.114268 | + | 0.238202i | ||||
\(521\) | −8.11650 | − | 17.7727i | −0.355591 | − | 0.778635i | −0.999904 | − | 0.0138730i | \(-0.995584\pi\) |
0.644313 | − | 0.764762i | \(-0.277143\pi\) | |||||||
\(522\) | −2.79061 | − | 4.34227i | −0.122142 | − | 0.190056i | ||||
\(523\) | −4.00862 | + | 13.6521i | −0.175285 | + | 0.596964i | 0.824243 | + | 0.566236i | \(0.191601\pi\) |
−0.999528 | + | 0.0307284i | \(0.990217\pi\) | |||||||
\(524\) | −8.06032 | + | 9.30210i | −0.352117 | + | 0.406364i | ||||
\(525\) | 2.84659 | − | 5.65745i | 0.124235 | − | 0.246911i | ||||
\(526\) | −6.21159 | + | 13.6015i | −0.270838 | + | 0.593053i | ||||
\(527\) | −27.5715 | + | 3.96418i | −1.20103 | + | 0.172683i | ||||
\(528\) | 4.08422i | 0.177743i | ||||||||
\(529\) | 22.8996 | − | 2.14680i | 0.995634 | − | 0.0933393i | ||||
\(530\) | 0.566477 | + | 1.30509i | 0.0246062 | + | 0.0566895i | ||||
\(531\) | 1.01858 | + | 7.08439i | 0.0442027 | + | 0.307437i | ||||
\(532\) | −8.39813 | − | 3.83530i | −0.364105 | − | 0.166281i | ||||
\(533\) | 5.87234 | + | 19.9993i | 0.254359 | + | 0.866268i | ||||
\(534\) | 8.14075 | − | 9.39493i | 0.352285 | − | 0.406558i | ||||
\(535\) | −6.43910 | + | 0.802002i | −0.278387 | + | 0.0346736i | ||||
\(536\) | −6.64544 | + | 4.27076i | −0.287039 | + | 0.184469i | ||||
\(537\) | −7.31547 | + | 3.34086i | −0.315686 | + | 0.144169i | ||||
\(538\) | 15.2403 | − | 13.2058i | 0.657057 | − | 0.569343i | ||||
\(539\) | 18.5386 | + | 11.9140i | 0.798514 | + | 0.513174i | ||||
\(540\) | 0.589343 | + | 2.15701i | 0.0253613 | + | 0.0928228i | ||||
\(541\) | 0.974609 | − | 6.77855i | 0.0419017 | − | 0.291433i | −0.958086 | − | 0.286481i | \(-0.907515\pi\) |
0.999988 | − | 0.00495211i | \(-0.00157631\pi\) | |||||||
\(542\) | 0.0323539 | − | 0.0503436i | 0.00138972 | − | 0.00216244i | ||||
\(543\) | −9.55614 | + | 8.28044i | −0.410093 | + | 0.355348i | ||||
\(544\) | −1.47824 | − | 3.23688i | −0.0633788 | − | 0.138780i | ||||
\(545\) | −25.0385 | − | 16.7677i | −1.07253 | − | 0.718250i | ||||
\(546\) | 3.27441 | + | 0.961454i | 0.140132 | + | 0.0411464i | ||||
\(547\) | −16.7878 | − | 14.5467i | −0.717794 | − | 0.621972i | 0.217411 | − | 0.976080i | \(-0.430239\pi\) |
−0.935204 | + | 0.354108i | \(0.884784\pi\) | |||||||
\(548\) | −0.232316 | − | 0.791196i | −0.00992405 | − | 0.0337982i | ||||
\(549\) | −5.25295 | + | 11.5024i | −0.224191 | + | 0.490909i | ||||
\(550\) | −11.6814 | + | 16.7502i | −0.498095 | + | 0.714229i | ||||
\(551\) | −37.6229 | −1.60279 | ||||||||
\(552\) | −4.79059 | + | 0.224064i | −0.203901 | + | 0.00953681i | ||||
\(553\) | 17.2203i | 0.732282i | ||||||||
\(554\) | −0.837155 | − | 5.82254i | −0.0355673 | − | 0.247376i | ||||
\(555\) | −5.39660 | − | 0.101932i | −0.229073 | − | 0.00432679i | ||||
\(556\) | −4.55822 | + | 1.33841i | −0.193311 | + | 0.0567614i | ||||
\(557\) | −22.4129 | − | 19.4209i | −0.949667 | − | 0.822891i | 0.0346323 | − | 0.999400i | \(-0.488974\pi\) |
−0.984299 | + | 0.176509i | \(0.943519\pi\) | |||||||
\(558\) | 2.20536 | − | 7.51076i | 0.0933603 | − | 0.317956i | ||||
\(559\) | 23.6621 | − | 15.2067i | 1.00080 | − | 0.643175i | ||||
\(560\) | −2.10511 | − | 1.89486i | −0.0889570 | − | 0.0800724i | ||||
\(561\) | 9.51743 | + | 10.9837i | 0.401826 | + | 0.463732i | ||||
\(562\) | 6.84934 | − | 10.6578i | 0.288922 | − | 0.449572i | ||||
\(563\) | 22.0874 | + | 3.17568i | 0.930872 | + | 0.133839i | 0.591036 | − | 0.806646i | \(-0.298719\pi\) |
0.339836 | + | 0.940485i | \(0.389628\pi\) | |||||||
\(564\) | −1.50954 | + | 10.4991i | −0.0635630 | + | 0.442090i | ||||
\(565\) | −8.67449 | − | 1.41489i | −0.364939 | − | 0.0595250i | ||||
\(566\) | −2.83234 | − | 3.26870i | −0.119052 | − | 0.137394i | ||||
\(567\) | 1.15218 | − | 0.526184i | 0.0483871 | − | 0.0220976i | ||||
\(568\) | −2.21898 | − | 3.45280i | −0.0931063 | − | 0.144876i | ||||
\(569\) | −8.70407 | − | 2.55575i | −0.364894 | − | 0.107142i | 0.0941456 | − | 0.995558i | \(-0.469988\pi\) |
−0.459039 | + | 0.888416i | \(0.651806\pi\) | |||||||
\(570\) | 15.5488 | + | 4.88632i | 0.651266 | + | 0.204665i | ||||
\(571\) | −19.0562 | + | 5.59541i | −0.797477 | + | 0.234160i | −0.654991 | − | 0.755636i | \(-0.727328\pi\) |
−0.142486 | + | 0.989797i | \(0.545510\pi\) | |||||||
\(572\) | −10.0095 | − | 4.57117i | −0.418517 | − | 0.191130i | ||||
\(573\) | 16.1116 | − | 2.31649i | 0.673070 | − | 0.0967729i | ||||
\(574\) | −9.79926 | −0.409013 | ||||||||
\(575\) | −20.2880 | − | 12.7827i | −0.846067 | − | 0.533077i | ||||
\(576\) | 1.00000 | 0.0416667 | ||||||||
\(577\) | 28.2020 | − | 4.05484i | 1.17407 | − | 0.168805i | 0.472448 | − | 0.881359i | \(-0.343370\pi\) |
0.701618 | + | 0.712553i | \(0.252461\pi\) | |||||||
\(578\) | 3.94544 | + | 1.80182i | 0.164109 | + | 0.0749460i | ||||
\(579\) | 17.2227 | − | 5.05704i | 0.715751 | − | 0.210163i | ||||
\(580\) | −11.0109 | − | 3.46027i | −0.457204 | − | 0.143680i | ||||
\(581\) | 5.53448 | + | 1.62507i | 0.229609 | + | 0.0674192i | ||||
\(582\) | −2.44064 | − | 3.79772i | −0.101168 | − | 0.157420i | ||||
\(583\) | −2.36381 | + | 1.07952i | −0.0978990 | + | 0.0447090i | ||||
\(584\) | −5.99283 | − | 6.91609i | −0.247985 | − | 0.286190i | ||||
\(585\) | −5.94592 | − | 0.969837i | −0.245834 | − | 0.0400978i | ||||
\(586\) | −1.40182 | + | 9.74986i | −0.0579086 | + | 0.402763i | ||||
\(587\) | 32.4960 | + | 4.67222i | 1.34125 | + | 0.192843i | 0.775299 | − | 0.631594i | \(-0.217599\pi\) |
0.565953 | + | 0.824437i | \(0.308508\pi\) | |||||||
\(588\) | 2.91709 | − | 4.53907i | 0.120299 | − | 0.187188i | ||||
\(589\) | −37.3640 | − | 43.1203i | −1.53955 | − | 1.77674i | ||||
\(590\) | 11.8950 | + | 10.7070i | 0.489709 | + | 0.440800i | ||||
\(591\) | 11.2109 | − | 7.20479i | 0.461153 | − | 0.296365i | ||||
\(592\) | −0.680064 | + | 2.31609i | −0.0279505 | + | 0.0951905i | ||||
\(593\) | 1.90565 | + | 1.65126i | 0.0782557 | + | 0.0678090i | 0.693110 | − | 0.720832i | \(-0.256240\pi\) |
−0.614855 | + | 0.788640i | \(0.710785\pi\) | |||||||
\(594\) | −3.91878 | + | 1.15066i | −0.160790 | + | 0.0472121i | ||||
\(595\) | −10.0768 | − | 0.190334i | −0.413110 | − | 0.00780293i | ||||
\(596\) | 1.30572 | + | 9.08145i | 0.0534842 | + | 0.371991i | ||||
\(597\) | − | 10.8762i | − | 0.445134i | ||||||
\(598\) | 4.81263 | − | 11.9914i | 0.196803 | − | 0.490365i | ||||
\(599\) | −16.2966 | −0.665859 | −0.332930 | − | 0.942952i | \(-0.608037\pi\) | ||||
−0.332930 | + | 0.942952i | \(0.608037\pi\) | |||||||
\(600\) | 4.10119 | + | 2.86012i | 0.167430 | + | 0.116764i | ||||
\(601\) | −7.78717 | + | 17.0515i | −0.317645 | + | 0.695546i | −0.999349 | − | 0.0360822i | \(-0.988512\pi\) |
0.681703 | + | 0.731629i | \(0.261239\pi\) | |||||||
\(602\) | 3.72548 | + | 12.6878i | 0.151839 | + | 0.517117i | ||||
\(603\) | −5.97000 | − | 5.17304i | −0.243117 | − | 0.210662i | ||||
\(604\) | −7.06046 | − | 2.07314i | −0.287286 | − | 0.0843548i | ||||
\(605\) | −10.5547 | − | 7.06825i | −0.429110 | − | 0.287365i | ||||
\(606\) | 5.85348 | + | 12.8173i | 0.237781 | + | 0.520669i | ||||
\(607\) | 18.2591 | − | 15.8216i | 0.741114 | − | 0.642179i | −0.200183 | − | 0.979759i | \(-0.564154\pi\) |
0.941297 | + | 0.337580i | \(0.109608\pi\) | |||||||
\(608\) | 3.94067 | − | 6.13181i | 0.159815 | − | 0.248678i | ||||
\(609\) | −0.930456 | + | 6.47146i | −0.0377040 | + | 0.262237i | ||||
\(610\) | 7.45229 | + | 27.2755i | 0.301734 | + | 1.10435i | ||||
\(611\) | −24.0412 | − | 15.4504i | −0.972604 | − | 0.625054i | ||||
\(612\) | 2.68930 | − | 2.33029i | 0.108709 | − | 0.0941965i | ||||
\(613\) | 21.2017 | − | 9.68251i | 0.856330 | − | 0.391073i | 0.0616474 | − | 0.998098i | \(-0.480365\pi\) |
0.794683 | + | 0.607025i | \(0.207637\pi\) | |||||||
\(614\) | −2.81993 | + | 1.81226i | −0.113803 | + | 0.0731367i | ||||
\(615\) | 17.1664 | − | 2.13811i | 0.692217 | − | 0.0862169i | ||||
\(616\) | 3.38777 | − | 3.90969i | 0.136497 | − | 0.157526i | ||||
\(617\) | 8.00452 | + | 27.2609i | 0.322250 | + | 1.09748i | 0.948215 | + | 0.317631i | \(0.102887\pi\) |
−0.625965 | + | 0.779851i | \(0.715295\pi\) | |||||||
\(618\) | −10.5821 | − | 4.83267i | −0.425674 | − | 0.194399i | ||||
\(619\) | −4.53502 | − | 31.5417i | −0.182278 | − | 1.26777i | −0.851360 | − | 0.524582i | \(-0.824222\pi\) |
0.669082 | − | 0.743188i | \(-0.266687\pi\) | |||||||
\(620\) | −6.96928 | − | 16.0563i | −0.279893 | − | 0.644837i | ||||
\(621\) | −1.56465 | − | 4.53342i | −0.0627874 | − | 0.181920i | ||||
\(622\) | 7.43177i | 0.297987i | ||||||||
\(623\) | −15.5857 | + | 2.24089i | −0.624430 | + | 0.0897794i | ||||
\(624\) | −1.11923 | + | 2.45077i | −0.0448049 | + | 0.0981091i | ||||
\(625\) | 8.63946 | + | 23.4597i | 0.345578 | + | 0.938390i | ||||
\(626\) | 11.2477 | − | 12.9806i | 0.449550 | − | 0.518808i | ||||
\(627\) | −8.38703 | + | 28.5636i | −0.334946 | + | 1.14072i | ||||
\(628\) | 5.91592 | + | 9.20535i | 0.236071 | + | 0.367333i | ||||
\(629\) | 3.56826 | + | 7.81340i | 0.142276 | + | 0.311540i | ||||
\(630\) | 1.22503 | − | 2.55368i | 0.0488062 | − | 0.101741i | ||||
\(631\) | −12.9083 | − | 8.29568i | −0.513872 | − | 0.330246i | 0.257871 | − | 0.966179i | \(-0.416979\pi\) |
−0.771744 | + | 0.635934i | \(0.780615\pi\) | |||||||
\(632\) | −13.4568 | − | 1.93480i | −0.535283 | − | 0.0769621i | ||||
\(633\) | 25.0961 | + | 3.60827i | 0.997479 | + | 0.143416i | ||||
\(634\) | 22.0244 | + | 14.1542i | 0.874701 | + | 0.562136i | ||||
\(635\) | 45.1692 | + | 21.6682i | 1.79248 | + | 0.859875i | ||||
\(636\) | 0.264313 | + | 0.578766i | 0.0104807 | + | 0.0229496i | ||||
\(637\) | 7.85932 | + | 12.2293i | 0.311398 | + | 0.484544i | ||||
\(638\) | 5.93932 | − | 20.2275i | 0.235140 | − | 0.800813i | ||||
\(639\) | 2.68778 | − | 3.10186i | 0.106327 | − | 0.122708i | ||||
\(640\) | 1.71726 | − | 1.43214i | 0.0678806 | − | 0.0566102i | ||||
\(641\) | 0.117167 | − | 0.256560i | 0.00462782 | − | 0.0101335i | −0.907304 | − | 0.420475i | \(-0.861863\pi\) |
0.911932 | + | 0.410342i | \(0.134591\pi\) | |||||||
\(642\) | −2.87237 | + | 0.412984i | −0.113363 | + | 0.0162992i | ||||
\(643\) | − | 30.0196i | − | 1.18386i | −0.805991 | − | 0.591928i | \(-0.798367\pi\) | ||
0.805991 | − | 0.591928i | \(-0.201633\pi\) | |||||||
\(644\) | 4.77174 | + | 3.75920i | 0.188033 | + | 0.148133i | ||||
\(645\) | −9.29470 | − | 21.4138i | −0.365979 | − | 0.843167i | ||||
\(646\) | −3.69125 | − | 25.6732i | −0.145230 | − | 1.01010i | ||||
\(647\) | −37.3180 | − | 17.0426i | −1.46712 | − | 0.670012i | −0.487918 | − | 0.872889i | \(-0.662244\pi\) |
−0.979204 | + | 0.202877i | \(0.934971\pi\) | |||||||
\(648\) | 0.281733 | + | 0.959493i | 0.0110675 | + | 0.0376924i | ||||
\(649\) | −19.1427 | + | 22.0919i | −0.751419 | + | 0.867183i | ||||
\(650\) | −11.5996 | + | 6.84992i | −0.454975 | + | 0.268676i | ||||
\(651\) | −8.34112 | + | 5.36051i | −0.326914 | + | 0.210095i | ||||
\(652\) | −18.7355 | + | 8.55620i | −0.733738 | + | 0.335087i | ||||
\(653\) | 11.3776 | − | 9.85875i | 0.445240 | − | 0.385803i | −0.403185 | − | 0.915119i | \(-0.632097\pi\) |
0.848425 | + | 0.529316i | \(0.177551\pi\) | |||||||
\(654\) | −11.3372 | − | 7.28595i | −0.443318 | − | 0.284903i | ||||
\(655\) | −26.5494 | + | 7.25390i | −1.03737 | + | 0.283433i | ||||
\(656\) | 1.10100 | − | 7.65764i | 0.0429869 | − | 0.298980i | ||||
\(657\) | 4.94757 | − | 7.69856i | 0.193023 | − | 0.300350i | ||||
\(658\) | 10.1538 | − | 8.79828i | 0.395835 | − | 0.342993i | ||||
\(659\) | 7.74501 | + | 16.9592i | 0.301703 | + | 0.660637i | 0.998389 | − | 0.0567389i | \(-0.0180702\pi\) |
−0.696686 | + | 0.717376i | \(0.745343\pi\) | |||||||
\(660\) | −5.08167 | + | 7.58822i | −0.197804 | + | 0.295371i | ||||
\(661\) | −12.7220 | − | 3.73551i | −0.494827 | − | 0.145294i | 0.0247915 | − | 0.999693i | \(-0.492108\pi\) |
−0.519619 | + | 0.854398i | \(0.673926\pi\) | |||||||
\(662\) | 7.32605 | + | 6.34806i | 0.284735 | + | 0.246724i | ||||
\(663\) | 2.70106 | + | 9.19897i | 0.104901 | + | 0.357258i | ||||
\(664\) | −1.89174 | + | 4.14233i | −0.0734138 | + | 0.160754i | ||||
\(665\) | −10.8312 | − | 17.5748i | −0.420017 | − | 0.681523i | ||||
\(666\) | −2.41386 | −0.0935353 | ||||||||
\(667\) | 24.0517 | + | 5.85684i | 0.931284 | + | 0.226778i | ||||
\(668\) | − | 5.66441i | − | 0.219163i | ||||||
\(669\) | −2.90525 | − | 20.2065i | −0.112323 | − | 0.781227i | ||||
\(670\) | −17.6606 | − | 0.333577i | −0.682287 | − | 0.0128872i | ||||
\(671\) | −49.5533 | + | 14.5502i | −1.91298 | + | 0.561703i | ||||
\(672\) | −0.957267 | − | 0.829477i | −0.0369274 | − | 0.0319978i | ||||
\(673\) | 2.62191 | − | 8.92941i | 0.101067 | − | 0.344203i | −0.893398 | − | 0.449265i | \(-0.851686\pi\) |
0.994466 | + | 0.105062i | \(0.0335040\pi\) | |||||||
\(674\) | 29.3200 | − | 18.8428i | 1.12937 | − | 0.725799i | ||||
\(675\) | −1.58882 | + | 4.74085i | −0.0611539 | + | 0.182475i | ||||
\(676\) | 3.75961 | + | 4.33882i | 0.144600 | + | 0.166878i | ||||
\(677\) | 6.40628 | − | 9.96836i | 0.246213 | − | 0.383115i | −0.696047 | − | 0.717996i | \(-0.745060\pi\) |
0.942261 | + | 0.334881i | \(0.108696\pi\) | |||||||
\(678\) | −3.89061 | − | 0.559385i | −0.149418 | − | 0.0214831i | ||||
\(679\) | −0.813769 | + | 5.65989i | −0.0312296 | + | 0.217207i | ||||
\(680\) | 1.28093 | − | 7.85316i | 0.0491213 | − | 0.301155i | ||||
\(681\) | 0.205946 | + | 0.237674i | 0.00789187 | + | 0.00910770i | ||||
\(682\) | 29.0815 | − | 13.2811i | 1.11359 | − | 0.508559i | ||||
\(683\) | −12.5655 | − | 19.5522i | −0.480804 | − | 0.748145i | 0.513108 | − | 0.858324i | \(-0.328494\pi\) |
−0.993912 | + | 0.110179i | \(0.964858\pi\) | |||||||
\(684\) | 6.99364 | + | 2.05352i | 0.267409 | + | 0.0785183i | ||||
\(685\) | 0.552792 | − | 1.75904i | 0.0211211 | − | 0.0672095i | ||||
\(686\) | −15.0649 | + | 4.42344i | −0.575179 | + | 0.168888i | ||||
\(687\) | −15.7851 | − | 7.20881i | −0.602239 | − | 0.275033i | ||||
\(688\) | −10.3335 | + | 1.48573i | −0.393961 | + | 0.0566430i | ||||
\(689\) | −1.71425 | −0.0653076 | ||||||||
\(690\) | −9.17940 | − | 5.54425i | −0.349454 | − | 0.211066i | ||||
\(691\) | 17.4927 | 0.665452 | 0.332726 | − | 0.943023i | \(-0.392031\pi\) | ||||
0.332726 | + | 0.943023i | \(0.392031\pi\) | |||||||
\(692\) | 9.87692 | − | 1.42009i | 0.375464 | − | 0.0539836i | ||||
\(693\) | 4.70577 | + | 2.14905i | 0.178757 | + | 0.0816357i | ||||
\(694\) | −1.18309 | + | 0.347386i | −0.0449094 | + | 0.0131866i | ||||
\(695\) | −10.1341 | − | 3.18473i | −0.384410 | − | 0.120804i | ||||
\(696\) | −4.95259 | − | 1.45421i | −0.187727 | − | 0.0551217i | ||||
\(697\) | −14.8836 | − | 23.1593i | −0.563757 | − | 0.877222i | ||||
\(698\) | 1.77196 | − | 0.809229i | 0.0670699 | − | 0.0306298i | ||||
\(699\) | 0.691114 | + | 0.797589i | 0.0261403 | + | 0.0301676i | ||||
\(700\) | −1.55353 | − | 6.13974i | −0.0587179 | − | 0.232060i | ||||
\(701\) | 4.24730 | − | 29.5406i | 0.160418 | − | 1.11573i | −0.737428 | − | 0.675426i | \(-0.763960\pi\) |
0.897846 | − | 0.440309i | \(-0.145131\pi\) | |||||||
\(702\) | −2.66681 | − | 0.383430i | −0.100652 | − | 0.0144716i | ||||
\(703\) | −9.51225 | + | 14.8013i | −0.358761 | + | 0.558243i | ||||
\(704\) | 2.67460 | + | 3.08665i | 0.100803 | + | 0.116332i | ||||
\(705\) | −15.8677 | + | 17.6284i | −0.597614 | + | 0.663923i | ||||
\(706\) | −2.85926 | + | 1.83754i | −0.107610 | + | 0.0691566i | ||||
\(707\) | 5.02834 | − | 17.1249i | 0.189110 | − | 0.644050i | ||||
\(708\) | 5.40908 | + | 4.68700i | 0.203286 | + | 0.176148i | ||||
\(709\) | −26.0196 | + | 7.64006i | −0.977188 | + | 0.286928i | −0.731063 | − | 0.682310i | \(-0.760976\pi\) |
−0.246125 | + | 0.969238i | \(0.579157\pi\) | |||||||
\(710\) | 0.173318 | − | 9.17597i | 0.00650451 | − | 0.344368i | ||||
\(711\) | −1.93480 | − | 13.4568i | −0.0725606 | − | 0.504670i | ||||
\(712\) | − | 12.4313i | − | 0.465882i | ||||||
\(713\) | 17.1735 | + | 33.3826i | 0.643153 | + | 1.25019i | ||||
\(714\) | −4.50730 | −0.168682 | ||||||||
\(715\) | −12.9094 | − | 20.9469i | −0.482784 | − | 0.783370i | ||||
\(716\) | −3.34086 | + | 7.31547i | −0.124854 | + | 0.273392i | ||||
\(717\) | 8.31224 | + | 28.3089i | 0.310426 | + | 1.05722i | ||||
\(718\) | 15.1770 | + | 13.1509i | 0.566399 | + | 0.490787i | ||||
\(719\) | −32.0320 | − | 9.40546i | −1.19459 | − | 0.350764i | −0.376810 | − | 0.926290i | \(-0.622979\pi\) |
−0.817783 | + | 0.575526i | \(0.804797\pi\) | |||||||
\(720\) | 1.85793 | + | 1.24422i | 0.0692411 | + | 0.0463693i | ||||
\(721\) | 6.12129 | + | 13.4038i | 0.227969 | + | 0.499182i | ||||
\(722\) | 25.7922 | − | 22.3491i | 0.959886 | − | 0.831746i | ||||
\(723\) | 5.07684 | − | 7.89971i | 0.188810 | − | 0.293793i | ||||
\(724\) | −1.79951 | + | 12.5159i | −0.0668783 | + | 0.465149i | ||||
\(725\) | −16.1523 | − | 20.1290i | −0.599880 | − | 0.747571i | ||||
\(726\) | −4.77906 | − | 3.07132i | −0.177368 | − | 0.113987i | ||||
\(727\) | −26.2325 | + | 22.7306i | −0.972911 | + | 0.843032i | −0.987621 | − | 0.156859i | \(-0.949863\pi\) |
0.0147097 | + | 0.999892i | \(0.495318\pi\) | |||||||
\(728\) | 3.10425 | − | 1.41766i | 0.115051 | − | 0.0525421i | ||||
\(729\) | −0.841254 | + | 0.540641i | −0.0311575 | + | 0.0200237i | ||||
\(730\) | −2.52915 | − | 20.3060i | −0.0936081 | − | 0.751560i | ||||
\(731\) | −24.3277 | + | 28.0756i | −0.899791 | + | 1.03841i | ||||
\(732\) | 3.56253 | + | 12.1329i | 0.131675 | + | 0.448443i | ||||
\(733\) | −34.5166 | − | 15.7632i | −1.27490 | − | 0.582228i | −0.341102 | − | 0.940026i | \(-0.610800\pi\) |
−0.933799 | + | 0.357798i | \(0.883528\pi\) | |||||||
\(734\) | 4.10456 | + | 28.5478i | 0.151502 | + | 1.05372i | ||||
\(735\) | 11.0674 | − | 4.80381i | 0.408225 | − | 0.177191i | ||||
\(736\) | −3.47376 | + | 3.30651i | −0.128044 | + | 0.121880i | ||||
\(737\) | − | 32.2631i | − | 1.18843i | ||||||
\(738\) | 7.65764 | − | 1.10100i | 0.281881 | − | 0.0405284i | ||||
\(739\) | −17.4506 | + | 38.2116i | −0.641933 | + | 1.40564i | 0.256509 | + | 0.966542i | \(0.417428\pi\) |
−0.898441 | + | 0.439094i | \(0.855299\pi\) | |||||||
\(740\) | −4.14523 | + | 3.45699i | −0.152382 | + | 0.127081i | ||||
\(741\) | −12.8602 | + | 14.8414i | −0.472430 | + | 0.545213i | ||||
\(742\) | 0.227054 | − | 0.773275i | 0.00833542 | − | 0.0283878i | ||||
\(743\) | −14.2382 | − | 22.1550i | −0.522348 | − | 0.812789i | 0.475407 | − | 0.879766i | \(-0.342301\pi\) |
−0.997754 | + | 0.0669774i | \(0.978664\pi\) | |||||||
\(744\) | −3.25180 | − | 7.12046i | −0.119217 | − | 0.261049i | ||||
\(745\) | −8.87337 | + | 18.4973i | −0.325095 | + | 0.677690i | ||||
\(746\) | 26.0591 | + | 16.7472i | 0.954091 | + | 0.613157i | ||||
\(747\) | −4.50751 | − | 0.648082i | −0.164921 | − | 0.0237121i | ||||
\(748\) | 14.3856 | + | 2.06834i | 0.525989 | + | 0.0756258i | ||||
\(749\) | 3.09218 | + | 1.98723i | 0.112986 | + | 0.0726117i | ||||
\(750\) | 4.06112 | + | 10.4167i | 0.148291 | + | 0.380363i | ||||
\(751\) | −2.76868 | − | 6.06256i | −0.101031 | − | 0.221226i | 0.852366 | − | 0.522945i | \(-0.175167\pi\) |
−0.953397 | + | 0.301719i | \(0.902439\pi\) | |||||||
\(752\) | 5.73459 | + | 8.92320i | 0.209119 | + | 0.325396i | ||||
\(753\) | −1.12948 | + | 3.84667i | −0.0411607 | + | 0.140181i | ||||
\(754\) | 9.10700 | − | 10.5100i | 0.331657 | − | 0.382753i | ||||
\(755\) | −10.5384 | − | 12.6365i | −0.383533 | − | 0.459890i | ||||
\(756\) | 0.526184 | − | 1.15218i | 0.0191371 | − | 0.0419044i | ||||
\(757\) | −31.5810 | + | 4.54066i | −1.14783 | + | 0.165033i | −0.689865 | − | 0.723938i | \(-0.742330\pi\) |
−0.457964 | + | 0.888971i | \(0.651421\pi\) | |||||||
\(758\) | 29.9818i | 1.08899i | ||||||||
\(759\) | 9.80825 | − | 16.9546i | 0.356017 | − | 0.615413i | ||||
\(760\) | 14.9508 | − | 6.48944i | 0.542323 | − | 0.235397i | ||||
\(761\) | 4.48760 | + | 31.2119i | 0.162675 | + | 1.13143i | 0.893564 | + | 0.448935i | \(0.148197\pi\) |
−0.730889 | + | 0.682496i | \(0.760894\pi\) | |||||||
\(762\) | 20.3797 | + | 9.30709i | 0.738278 | + | 0.337160i | ||||
\(763\) | 4.80916 | + | 16.3785i | 0.174103 | + | 0.592942i | ||||
\(764\) | 10.6593 | − | 12.3015i | 0.385641 | − | 0.445053i | ||||
\(765\) | 7.89593 | − | 0.983453i | 0.285478 | − | 0.0355568i | ||||
\(766\) | 10.4608 | − | 6.72274i | 0.377964 | − | 0.242903i | ||||
\(767\) | −17.5407 | + | 8.01058i | −0.633359 | + | 0.289245i | ||||
\(768\) | 0.755750 | − | 0.654861i | 0.0272708 | − | 0.0236303i | ||||
\(769\) | −31.2600 | − | 20.0896i | −1.12726 | − | 0.724448i | −0.162276 | − | 0.986745i | \(-0.551884\pi\) |
−0.964987 | + | 0.262297i | \(0.915520\pi\) | |||||||
\(770\) | 11.1588 | − | 3.04883i | 0.402134 | − | 0.109872i | ||||
\(771\) | −0.687592 | + | 4.78231i | −0.0247630 | + | 0.172231i | ||||
\(772\) | 9.70439 | − | 15.1003i | 0.349269 | − | 0.543473i | ||||
\(773\) | −19.3457 | + | 16.7631i | −0.695816 | + | 0.602928i | −0.929253 | − | 0.369444i | \(-0.879548\pi\) |
0.233437 | + | 0.972372i | \(0.425003\pi\) | |||||||
\(774\) | −4.33683 | − | 9.49633i | −0.155884 | − | 0.341339i | ||||
\(775\) | 7.02909 | − | 38.5029i | 0.252492 | − | 1.38306i | ||||
\(776\) | −4.33149 | − | 1.27184i | −0.155492 | − | 0.0456564i | ||||
\(777\) | 2.31071 | + | 2.00224i | 0.0828964 | + | 0.0718301i | ||||
\(778\) | 5.32676 | + | 18.1413i | 0.190974 | + | 0.650396i | ||||
\(779\) | 23.4251 | − | 51.2938i | 0.839292 | − | 1.83779i | ||||
\(780\) | −5.12874 | + | 3.16080i | −0.183638 | + | 0.113175i | ||||
\(781\) | 16.7631 | 0.599830 | ||||||||
\(782\) | −1.63685 | + | 16.9871i | −0.0585336 | + | 0.607456i | ||||
\(783\) | − | 5.16167i | − | 0.184463i | ||||||
\(784\) | −0.767875 | − | 5.34069i | −0.0274241 | − | 0.190739i | ||||
\(785\) | −0.462075 | + | 24.4636i | −0.0164922 | + | 0.873144i | ||||
\(786\) | −11.8099 | + | 3.46769i | −0.421244 | + | 0.123688i | ||||
\(787\) | 0.695002 | + | 0.602222i | 0.0247741 | + | 0.0214669i | 0.667160 | − | 0.744915i | \(-0.267510\pi\) |
−0.642386 | + | 0.766382i | \(0.722055\pi\) | |||||||
\(788\) | 3.75448 | − | 12.7866i | 0.133748 | − | 0.455503i | ||||
\(789\) | −12.5790 | + | 8.08405i | −0.447825 | + | 0.287800i | ||||
\(790\) | −22.5946 | − | 20.3379i | −0.803879 | − | 0.723592i | ||||
\(791\) | 3.26036 | + | 3.76265i | 0.115925 | + | 0.133784i | ||||
\(792\) | −2.20810 | + | 3.43587i | −0.0784613 | + | 0.122088i | ||||
\(793\) | −33.7221 | − | 4.84850i | −1.19751 | − | 0.172175i | ||||
\(794\) | −0.738252 | + | 5.13466i | −0.0261996 | + | 0.182222i | ||||
\(795\) | −0.229034 | + | 1.40417i | −0.00812300 | + | 0.0498009i | ||||
\(796\) | −7.12240 | − | 8.21969i | −0.252447 | − | 0.291339i | ||||
\(797\) | 13.3420 | − | 6.09310i | 0.472599 | − | 0.215829i | −0.164854 | − | 0.986318i | \(-0.552715\pi\) |
0.637453 | + | 0.770489i | \(0.279988\pi\) | |||||||
\(798\) | −4.99144 | − | 7.76683i | −0.176695 | − | 0.274943i | ||||
\(799\) | 36.2157 | + | 10.6339i | 1.28122 | + | 0.376200i | ||||
\(800\) | 4.97245 | − | 0.524173i | 0.175803 | − | 0.0185323i | ||||
\(801\) | 11.9277 | − | 3.50229i | 0.421445 | − | 0.123747i | ||||
\(802\) | −15.2507 | − | 6.96475i | −0.538520 | − | 0.245934i | ||||
\(803\) | 36.9955 | − | 5.31915i | 1.30554 | − | 0.187709i | ||||
\(804\) | −7.89945 | −0.278592 | ||||||||
\(805\) | 4.18831 | + | 12.9214i | 0.147618 | + | 0.455420i | ||||
\(806\) | 21.0901 | 0.742866 | ||||||||
\(807\) | 19.9606 | − | 2.86990i | 0.702646 | − | 0.101025i | ||||
\(808\) | 12.8173 | + | 5.85348i | 0.450912 | + | 0.205925i | ||||
\(809\) | −28.3315 | + | 8.31889i | −0.996084 | + | 0.292477i | −0.738848 | − | 0.673872i | \(-0.764630\pi\) |
−0.257236 | + | 0.966349i | \(0.582812\pi\) | |||||||
\(810\) | −0.670378 | + | 2.13321i | −0.0235547 | + | 0.0749534i | ||||
\(811\) | 47.8583 | + | 14.0525i | 1.68053 | + | 0.493449i | 0.976282 | − | 0.216502i | \(-0.0694646\pi\) |
0.704251 | + | 0.709951i | \(0.251283\pi\) | |||||||
\(812\) | 3.53471 | + | 5.50012i | 0.124044 | + | 0.193017i | ||||
\(813\) | 0.0544356 | − | 0.0248599i | 0.00190914 | − | 0.000871876i | ||||
\(814\) | −6.45611 | − | 7.45075i | −0.226287 | − | 0.261149i | ||||
\(815\) | −45.4551 | − | 7.41415i | −1.59222 | − | 0.259707i | ||||
\(816\) | 0.506421 | − | 3.52223i | 0.0177283 | − | 0.123303i | ||||
\(817\) | −75.3197 | − | 10.8293i | −2.63510 | − | 0.378871i | ||||
\(818\) | −7.78597 | + | 12.1152i | −0.272230 | + | 0.423598i | ||||
\(819\) | 2.23481 | + | 2.57911i | 0.0780905 | + | 0.0901213i | ||||
\(820\) | 11.5734 | − | 12.8575i | 0.404159 | − | 0.449003i | ||||
\(821\) | 34.2347 | − | 22.0013i | 1.19480 | − | 0.767850i | 0.216749 | − | 0.976227i | \(-0.430455\pi\) |
0.978048 | + | 0.208377i | \(0.0668182\pi\) | |||||||
\(822\) | 0.232316 | − | 0.791196i | 0.00810295 | − | 0.0275961i | ||||
\(823\) | 21.8417 | + | 18.9260i | 0.761355 | + | 0.659718i | 0.946395 | − | 0.323013i | \(-0.104696\pi\) |
−0.185039 | + | 0.982731i | \(0.559241\pi\) | |||||||
\(824\) | −11.1621 | + | 3.27750i | −0.388851 | + | 0.114177i | ||||
\(825\) | −18.8828 | + | 7.77571i | −0.657415 | + | 0.270716i | ||||
\(826\) | −1.29018 | − | 8.97342i | −0.0448912 | − | 0.312225i | ||||
\(827\) | 35.0288i | 1.21807i | 0.793144 | + | 0.609035i | \(0.208443\pi\) | ||||
−0.793144 | + | 0.609035i | \(0.791557\pi\) | |||||||
\(828\) | −4.15124 | − | 2.40150i | −0.144266 | − | 0.0834578i | ||||
\(829\) | −37.8144 | −1.31335 | −0.656674 | − | 0.754175i | \(-0.728037\pi\) | ||||
−0.656674 | + | 0.754175i | \(0.728037\pi\) | |||||||
\(830\) | −8.66870 | + | 5.34245i | −0.300895 | + | 0.185439i | ||||
\(831\) | 2.44364 | − | 5.35083i | 0.0847691 | − | 0.185618i | ||||
\(832\) | 0.759055 | + | 2.58510i | 0.0263155 | + | 0.0896223i | ||||
\(833\) | −14.5104 | − | 12.5733i | −0.502756 | − | 0.435640i | ||||
\(834\) | −4.55822 | − | 1.33841i | −0.157838 | − | 0.0463455i | ||||
\(835\) | 7.04776 | − | 10.5241i | 0.243898 | − | 0.364202i | ||||
\(836\) | 12.3667 | + | 27.0793i | 0.427711 | + | 0.936556i | ||||
\(837\) | 5.91589 | − | 5.12615i | 0.204483 | − | 0.177186i | ||||
\(838\) | 1.64539 | − | 2.56027i | 0.0568390 | − | 0.0884432i | ||||
\(839\) | −1.18237 | + | 8.22355i | −0.0408199 | + | 0.283909i | 0.959179 | + | 0.282798i | \(0.0912626\pi\) |
−0.999999 | + | 0.00111061i | \(0.999646\pi\) | |||||||
\(840\) | −0.746490 | − | 2.73216i | −0.0257563 | − | 0.0942686i | ||||
\(841\) | −1.98297 | − | 1.27438i | −0.0683782 | − | 0.0439440i | ||||
\(842\) | −16.9222 | + | 14.6632i | −0.583179 | + | 0.505327i | ||||
\(843\) | 11.5241 | − | 5.26287i | 0.396910 | − | 0.181263i | ||||
\(844\) | 21.3293 | − | 13.7075i | 0.734183 | − | 0.471831i | ||||
\(845\) | 1.58667 | + | 12.7390i | 0.0545830 | + | 0.438235i | ||||
\(846\) | −6.94612 | + | 8.01625i | −0.238813 | + | 0.275604i | ||||
\(847\) | 2.02725 | + | 6.90419i | 0.0696572 | + | 0.237231i | ||||
\(848\) | 0.578766 | + | 0.264313i | 0.0198749 | + | 0.00907656i | ||||
\(849\) | −0.615527 | − | 4.28108i | −0.0211248 | − | 0.146926i | ||||
\(850\) | 12.1509 | − | 12.9969i | 0.416773 | − | 0.445790i | ||||
\(851\) | 8.38518 | − | 7.98146i | 0.287440 | − | 0.273601i | ||||
\(852\) | − | 4.10435i | − | 0.140613i | ||||||
\(853\) | −21.8434 | + | 3.14061i | −0.747905 | + | 0.107533i | −0.505720 | − | 0.862698i | \(-0.668773\pi\) |
−0.242185 | + | 0.970230i | \(0.577864\pi\) | |||||||
\(854\) | 6.65363 | − | 14.5694i | 0.227683 | − | 0.498555i | ||||
\(855\) | 10.4387 | + | 12.5169i | 0.356996 | + | 0.428070i | ||||
\(856\) | −1.90034 | + | 2.19311i | −0.0649524 | + | 0.0749591i | ||||
\(857\) | −6.55587 | + | 22.3272i | −0.223944 | + | 0.762684i | 0.768485 | + | 0.639868i | \(0.221011\pi\) |
−0.992429 | + | 0.122816i | \(0.960807\pi\) | |||||||
\(858\) | −5.94914 | − | 9.25705i | −0.203100 | − | 0.316030i | ||||
\(859\) | −20.7263 | − | 45.3842i | −0.707171 | − | 1.54849i | −0.831055 | − | 0.556191i | \(-0.812262\pi\) |
0.123884 | − | 0.992297i | \(-0.460465\pi\) | |||||||
\(860\) | −21.0475 | − | 10.0967i | −0.717714 | − | 0.344295i | ||||
\(861\) | −8.24366 | − | 5.29788i | −0.280943 | − | 0.180551i | ||||
\(862\) | 12.1640 | + | 1.74892i | 0.414308 | + | 0.0595684i | ||||
\(863\) | 30.2741 | + | 4.35275i | 1.03054 | + | 0.148169i | 0.636782 | − | 0.771044i | \(-0.280265\pi\) |
0.393760 | + | 0.919213i | \(0.371174\pi\) | |||||||
\(864\) | 0.841254 | + | 0.540641i | 0.0286200 | + | 0.0183930i | ||||
\(865\) | 20.1176 | + | 9.65061i | 0.684018 | + | 0.328131i | ||||
\(866\) | 1.51725 | + | 3.32232i | 0.0515583 | + | 0.112897i | ||||
\(867\) | 2.34498 | + | 3.64886i | 0.0796397 | + | 0.123922i | ||||
\(868\) | −2.79341 | + | 9.51348i | −0.0948145 | + | 0.322908i | ||||
\(869\) | 36.3617 | − | 41.9636i | 1.23349 | − | 1.42352i | ||||
\(870\) | −7.39223 | − | 8.86393i | −0.250620 | − | 0.300515i | ||||
\(871\) | 8.84128 | − | 19.3597i | 0.299575 | − | 0.655978i | ||||
\(872\) | −13.3393 | + | 1.91791i | −0.451727 | + | 0.0649485i | ||||
\(873\) | − | 4.51436i | − | 0.152788i | ||||||
\(874\) | −31.0842 | + | 15.9911i | −1.05144 | + | 0.540907i | ||||
\(875\) | 4.75281 | − | 13.3402i | 0.160674 | − | 0.450980i | ||||
\(876\) | −1.30237 | − | 9.05815i | −0.0440029 | − | 0.306047i | ||||
\(877\) | −8.15950 | − | 3.72632i | −0.275527 | − | 0.125829i | 0.272860 | − | 0.962054i | \(-0.412030\pi\) |
−0.548387 | + | 0.836225i | \(0.684758\pi\) | |||||||
\(878\) | −0.229825 | − | 0.782713i | −0.00775623 | − | 0.0264153i | ||||
\(879\) | −6.45046 | + | 7.44423i | −0.217569 | + | 0.251087i | ||||
\(880\) | 1.12876 | + | 9.06258i | 0.0380505 | + | 0.305499i | ||||
\(881\) | −1.21567 | + | 0.781265i | −0.0409570 | + | 0.0263215i | −0.560959 | − | 0.827843i | \(-0.689568\pi\) |
0.520002 | + | 0.854165i | \(0.325931\pi\) | |||||||
\(882\) | 4.90802 | − | 2.24142i | 0.165262 | − | 0.0754724i | ||||
\(883\) | 33.5079 | − | 29.0348i | 1.12763 | − | 0.977099i | 0.127740 | − | 0.991808i | \(-0.459228\pi\) |
0.999892 | + | 0.0147089i | \(0.00468215\pi\) | |||||||
\(884\) | 8.06537 | + | 5.18330i | 0.271268 | + | 0.174333i | ||||
\(885\) | 4.21808 | + | 15.4382i | 0.141789 | + | 0.518950i | ||||
\(886\) | −5.74572 | + | 39.9623i | −0.193031 | + | 1.34256i | ||||
\(887\) | 16.9293 | − | 26.3426i | 0.568432 | − | 0.884497i | −0.431412 | − | 0.902155i | \(-0.641985\pi\) |
0.999844 | + | 0.0176578i | \(0.00562096\pi\) | |||||||
\(888\) | −1.82428 | + | 1.58074i | −0.0612187 | + | 0.0530463i | ||||
\(889\) | −11.7888 | − | 25.8138i | −0.395383 | − | 0.865768i | ||||
\(890\) | 15.4672 | − | 23.0965i | 0.518462 | − | 0.774196i | ||||
\(891\) | −3.91878 | − | 1.15066i | −0.131284 | − | 0.0385485i | ||||
\(892\) | −15.4281 | − | 13.3685i | −0.516570 | − | 0.447610i | ||||
\(893\) | 21.7817 | + | 74.1817i | 0.728898 | + | 2.48240i | ||||
\(894\) | −3.81136 | + | 8.34572i | −0.127471 | + | 0.279123i | ||||
\(895\) | −15.3091 | + | 9.43490i | −0.511728 | + | 0.315374i | ||||
\(896\) | −1.26665 | −0.0423157 | ||||||||
\(897\) | 10.5317 | − | 7.48590i | 0.351643 | − | 0.249947i | ||||
\(898\) | − | 1.89419i | − | 0.0632100i | ||||||
\(899\) | 5.75020 | + | 39.9935i | 0.191780 | + | 1.33386i | ||||
\(900\) | 1.90384 | + | 4.62335i | 0.0634614 | + | 0.154112i | ||||
\(901\) | 2.17240 | − | 0.637875i | 0.0723732 | − | 0.0212507i | ||||
\(902\) | 23.8795 | + | 20.6917i | 0.795100 | + | 0.688958i | ||||
\(903\) | −3.72548 | + | 12.6878i | −0.123976 | + | 0.422224i | ||||
\(904\) | −3.30665 | + | 2.12505i | −0.109977 | + | 0.0706782i | ||||
\(905\) | −18.9159 | + | 21.0147i | −0.628785 | + | 0.698552i | ||||
\(906\) | −4.81882 | − | 5.56121i | −0.160094 | − | 0.184759i | ||||
\(907\) | 10.2960 | − | 16.0210i | 0.341875 | − | 0.531967i | −0.627161 | − | 0.778890i | \(-0.715783\pi\) |
0.969035 | + | 0.246923i | \(0.0794194\pi\) | |||||||
\(908\) | 0.311287 | + | 0.0447563i | 0.0103304 | + | 0.00148529i | ||||
\(909\) | −2.00531 | + | 13.9473i | −0.0665121 | + | 0.462602i | ||||
\(910\) | 7.53138 | + | 1.22844i | 0.249663 | + | 0.0407224i | ||||
\(911\) | −22.3243 | − | 25.7636i | −0.739637 | − | 0.853587i | 0.253884 | − | 0.967235i | \(-0.418292\pi\) |
−0.993521 | + | 0.113648i | \(0.963746\pi\) | |||||||
\(912\) | 6.63021 | − | 3.02792i | 0.219548 | − | 0.100264i | ||||
\(913\) | −10.0554 | − | 15.6464i | −0.332784 | − | 0.517822i | ||||
\(914\) | 23.9008 | + | 7.01790i | 0.790568 | + | 0.232132i | ||||
\(915\) | −8.47698 | + | 26.9746i | −0.280240 | + | 0.891754i | ||||
\(916\) | −16.6503 | + | 4.88898i | −0.550143 | + | 0.161536i | ||||
\(917\) | 14.1816 | + | 6.47650i | 0.468316 | + | 0.213873i | ||||
\(918\) | 3.52223 | − | 0.506421i | 0.116251 | − | 0.0167144i | ||||
\(919\) | 5.63108 | 0.185752 | 0.0928760 | − | 0.995678i | \(-0.470394\pi\) | ||||
0.0928760 | + | 0.995678i | \(0.470394\pi\) | |||||||
\(920\) | −10.5680 | + | 1.82116i | −0.348418 | + | 0.0600419i | ||||
\(921\) | −3.35205 | −0.110454 | ||||||||
\(922\) | 4.02052 | − | 0.578064i | 0.132409 | − | 0.0190375i | ||||
\(923\) | 10.0588 | + | 4.59370i | 0.331089 | + | 0.151203i | ||||
\(924\) | 4.96371 | − | 1.45748i | 0.163294 | − | 0.0479475i | ||||
\(925\) | −12.0028 | + | 1.26528i | −0.394650 | + | 0.0416022i | ||||
\(926\) | 16.4364 | + | 4.82618i | 0.540135 | + | 0.158598i | ||||
\(927\) | −6.28947 | − | 9.78661i | −0.206573 | − | 0.321434i | ||||
\(928\) | −4.69522 | + | 2.14424i | −0.154128 | + | 0.0703880i | ||||
\(929\) | −12.8882 | − | 14.8738i | −0.422849 | − | 0.487993i | 0.503854 | − | 0.863789i | \(-0.331915\pi\) |
−0.926703 | + | 0.375795i | \(0.877370\pi\) | |||||||
\(930\) | 2.81777 | − | 17.2753i | 0.0923982 | − | 0.566479i | ||||
\(931\) | 5.59696 | − | 38.9277i | 0.183433 | − | 1.27580i | ||||
\(932\) | 1.04462 | + | 0.150194i | 0.0342176 | + | 0.00491975i | ||||
\(933\) | −4.01792 | + | 6.25200i | −0.131541 | + | 0.204681i | ||||
\(934\) | −16.4305 | − | 18.9618i | −0.537623 | − | 0.620450i | ||||
\(935\) | 24.1540 | + | 21.7416i | 0.789921 | + | 0.711028i | ||||
\(936\) | −2.26654 | + | 1.45662i | −0.0740841 | + | 0.0476110i | ||||
\(937\) | 1.82943 | − | 6.23047i | 0.0597649 | − | 0.203541i | −0.924198 | − | 0.381914i | \(-0.875265\pi\) |
0.983963 | + | 0.178373i | \(0.0570834\pi\) | |||||||
\(938\) | 7.56188 | + | 6.55241i | 0.246904 | + | 0.213944i | ||||
\(939\) | 16.4800 | − | 4.83897i | 0.537805 | − | 0.157914i | ||||
\(940\) | −0.447912 | + | 23.7138i | −0.0146093 | + | 0.773459i | ||||
\(941\) | 1.85498 | + | 12.9017i | 0.0604705 | + | 0.420582i | 0.997460 | + | 0.0712250i | \(0.0226908\pi\) |
−0.936990 | + | 0.349357i | \(0.886400\pi\) | |||||||
\(942\) | 10.9424i | 0.356523i | ||||||||
\(943\) | −22.9603 | + | 29.1447i | −0.747690 | + | 0.949080i | ||||
\(944\) | 7.15724 | 0.232948 | ||||||||
\(945\) | 2.41118 | − | 1.48599i | 0.0784357 | − | 0.0483393i | ||||
\(946\) | 17.7126 | − | 38.7851i | 0.575886 | − | 1.26101i | ||||
\(947\) | 8.39573 | + | 28.5932i | 0.272825 | + | 0.929155i | 0.975933 | + | 0.218072i | \(0.0699768\pi\) |
−0.703108 | + | 0.711083i | \(0.748205\pi\) | |||||||
\(948\) | −10.2746 | − | 8.90296i | −0.333702 | − | 0.289155i | ||||
\(949\) | 23.6570 | + | 6.94634i | 0.767940 | + | 0.225488i | ||||
\(950\) | 35.8519 | + | 6.54514i | 1.16319 | + | 0.212352i | ||||
\(951\) | 10.8758 | + | 23.8146i | 0.352670 | + | 0.772241i | ||||
\(952\) | −3.40639 | + | 2.95165i | −0.110402 | + | 0.0956637i | ||||
\(953\) | −26.2613 | + | 40.8635i | −0.850688 | + | 1.32370i | 0.0939476 | + | 0.995577i | \(0.470051\pi\) |
−0.944636 | + | 0.328120i | \(0.893585\pi\) | |||||||
\(954\) | −0.0905498 | + | 0.629787i | −0.00293166 | + | 0.0203901i | ||||
\(955\) | 35.1101 | − | 9.59288i | 1.13614 | − | 0.310418i | ||||
\(956\) | 24.8204 | + | 15.9511i | 0.802748 | + | 0.515895i | ||||
\(957\) | 15.9323 | − | 13.8054i | 0.515017 | − | 0.446265i | ||||
\(958\) | −12.8763 | + | 5.88040i | −0.416014 | + | 0.189987i | ||||
\(959\) | −0.878667 | + | 0.564685i | −0.0283736 | + | 0.0182346i | ||||
\(960\) | 2.21892 | − | 0.276371i | 0.0716154 | − | 0.00891983i | ||||
\(961\) | −19.8260 | + | 22.8804i | −0.639549 | + | 0.738079i | ||||
\(962\) | −1.83225 | − | 6.24009i | −0.0590743 | − | 0.201188i | ||||
\(963\) | −2.63967 | − | 1.20550i | −0.0850621 | − | 0.0388465i | ||||
\(964\) | −1.33639 | − | 9.29483i | −0.0430424 | − | 0.299366i | ||||
\(965\) | 36.8182 | − | 15.9810i | 1.18522 | − | 0.514448i | ||||
\(966\) | 1.98186 | + | 5.74223i | 0.0637654 | + | 0.184753i | ||||
\(967\) | 29.2072i | 0.939240i | 0.882869 | + | 0.469620i | \(0.155609\pi\) | ||||
−0.882869 | + | 0.469620i | \(0.844391\pi\) | |||||||
\(968\) | −5.62306 | + | 0.808473i | −0.180732 | + | 0.0259853i | ||||
\(969\) | 10.7747 | − | 23.5933i | 0.346133 | − | 0.757926i | ||||
\(970\) | −6.46518 | − | 7.75232i | −0.207584 | − | 0.248912i | ||||
\(971\) | 7.14846 | − | 8.24977i | 0.229405 | − | 0.264748i | −0.629364 | − | 0.777111i | \(-0.716684\pi\) |
0.858769 | + | 0.512363i | \(0.171230\pi\) | |||||||
\(972\) | −0.281733 | + | 0.959493i | −0.00903658 | + | 0.0307758i | ||||
\(973\) | 3.25325 | + | 5.06215i | 0.104294 | + | 0.162285i | ||||
\(974\) | −3.08425 | − | 6.75357i | −0.0988258 | − | 0.216398i | ||||
\(975\) | −13.4616 | − | 0.508713i | −0.431116 | − | 0.0162919i | ||||
\(976\) | 10.6377 | + | 6.83644i | 0.340505 | + | 0.218829i | ||||
\(977\) | −40.1885 | − | 5.77823i | −1.28574 | − | 0.184862i | −0.534659 | − | 0.845068i | \(-0.679560\pi\) |
−0.751085 | + | 0.660206i | \(0.770469\pi\) | |||||||
\(978\) | −20.3871 | − | 2.93123i | −0.651908 | − | 0.0937302i | ||||
\(979\) | 42.7122 | + | 27.4495i | 1.36509 | + | 0.877289i | ||||
\(980\) | 5.21832 | − | 10.8781i | 0.166693 | − | 0.347487i | ||||
\(981\) | −5.59834 | − | 12.2587i | −0.178741 | − | 0.391389i | ||||
\(982\) | −20.6243 | − | 32.0921i | −0.658149 | − | 1.02410i | ||||
\(983\) | −8.34748 | + | 28.4289i | −0.266243 | + | 0.906741i | 0.712504 | + | 0.701669i | \(0.247561\pi\) |
−0.978747 | + | 0.205073i | \(0.934257\pi\) | |||||||
\(984\) | 5.06625 | − | 5.84677i | 0.161506 | − | 0.186388i | ||||
\(985\) | 22.8849 | − | 19.0852i | 0.729172 | − | 0.608106i | ||||
\(986\) | −7.63016 | + | 16.7077i | −0.242994 | + | 0.532082i | ||||
\(987\) | 13.2986 | − | 1.91205i | 0.423299 | − | 0.0608612i | ||||
\(988\) | 19.6380i | 0.624769i | ||||||||
\(989\) | 46.4648 | + | 18.6482i | 1.47749 | + | 0.592978i | ||||
\(990\) | −8.37747 | + | 3.63626i | −0.266253 | + | 0.115568i | ||||
\(991\) | −4.25030 | − | 29.5615i | −0.135015 | − | 0.939051i | −0.938881 | − | 0.344241i | \(-0.888136\pi\) |
0.803866 | − | 0.594810i | \(-0.202773\pi\) | |||||||
\(992\) | −7.12046 | − | 3.25180i | −0.226075 | − | 0.103245i | ||||
\(993\) | 2.73105 | + | 9.30109i | 0.0866672 | + | 0.295161i | ||||
\(994\) | −3.40446 | + | 3.92896i | −0.107983 | + | 0.124619i | ||||
\(995\) | −3.00587 | − | 24.1335i | −0.0952924 | − | 0.765083i | ||||
\(996\) | −3.83095 | + | 2.46200i | −0.121388 | + | 0.0780115i | ||||
\(997\) | 2.10480 | − | 0.961228i | 0.0666596 | − | 0.0304424i | −0.381806 | − | 0.924242i | \(-0.624698\pi\) |
0.448466 | + | 0.893800i | \(0.351971\pi\) | |||||||
\(998\) | 14.5724 | − | 12.6271i | 0.461282 | − | 0.399703i | ||||
\(999\) | −2.03067 | − | 1.30503i | −0.0642476 | − | 0.0412894i |
(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 | 690.2.r.a.49.12 | yes | 120 | |
5.4 | even | 2 | inner | 690.2.r.a.49.3 | ✓ | 120 | |
23.8 | even | 11 | inner | 690.2.r.a.169.3 | yes | 120 | |
115.54 | even | 22 | inner | 690.2.r.a.169.12 | yes | 120 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
690.2.r.a.49.3 | ✓ | 120 | 5.4 | even | 2 | inner | |
690.2.r.a.49.12 | yes | 120 | 1.1 | even | 1 | trivial | |
690.2.r.a.169.3 | yes | 120 | 23.8 | even | 11 | inner | |
690.2.r.a.169.12 | yes | 120 | 115.54 | even | 22 | inner |