Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [185,2,Mod(84,185)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(185, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("185.84");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 185 = 5 \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 185.n (of order \(6\), degree \(2\), 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: | \(1.47723243739\) |
Analytic rank: | \(0\) |
Dimension: | \(36\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 84.18 | ||
Character | \(\chi\) | \(=\) | 185.84 |
Dual form | 185.2.n.a.174.18 |
$q$-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 \(\left(\mathbb{Z}/185\mathbb{Z}\right)^\times\).
\(n\) | \(76\) | \(112\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.33663 | + | 1.34906i | 1.65225 | + | 0.953926i | 0.976145 | + | 0.217119i | \(0.0696661\pi\) |
0.676103 | + | 0.736807i | \(0.263667\pi\) | |||||||
\(3\) | −2.35586 | + | 1.36016i | −1.36016 | + | 0.785288i | −0.989645 | − | 0.143539i | \(-0.954152\pi\) |
−0.370514 | + | 0.928827i | \(0.620819\pi\) | |||||||
\(4\) | 2.63990 | + | 4.57244i | 1.31995 | + | 2.28622i | ||||
\(5\) | −2.05390 | − | 0.884024i | −0.918532 | − | 0.395347i | ||||
\(6\) | −7.33972 | −2.99643 | ||||||||
\(7\) | 1.64348 | − | 0.948866i | 0.621178 | − | 0.358638i | −0.156149 | − | 0.987733i | \(-0.549908\pi\) |
0.777328 | + | 0.629096i | \(0.216575\pi\) | |||||||
\(8\) | 8.84926i | 3.12869i | ||||||||
\(9\) | 2.20006 | − | 3.81062i | 0.733355 | − | 1.27021i | ||||
\(10\) | −3.60661 | − | 4.83646i | −1.14051 | − | 1.52942i | ||||
\(11\) | 3.17880 | 0.958444 | 0.479222 | − | 0.877694i | \(-0.340919\pi\) | ||||
0.479222 | + | 0.877694i | \(0.340919\pi\) | |||||||
\(12\) | −12.4385 | − | 7.18137i | −3.59068 | − | 2.07308i | ||||
\(13\) | −2.13674 | + | 1.23364i | −0.592624 | + | 0.342151i | −0.766134 | − | 0.642681i | \(-0.777822\pi\) |
0.173511 | + | 0.984832i | \(0.444489\pi\) | |||||||
\(14\) | 5.12029 | 1.36845 | ||||||||
\(15\) | 6.04112 | − | 0.710989i | 1.55981 | − | 0.183577i | ||||
\(16\) | −6.65834 | + | 11.5326i | −1.66459 | + | 2.88315i | ||||
\(17\) | 4.72509 | + | 2.72803i | 1.14600 | + | 0.661645i | 0.947910 | − | 0.318538i | \(-0.103192\pi\) |
0.198093 | + | 0.980183i | \(0.436525\pi\) | |||||||
\(18\) | 10.2815 | − | 5.93602i | 2.42337 | − | 1.39913i | ||||
\(19\) | −0.821035 | − | 1.42207i | −0.188358 | − | 0.326246i | 0.756345 | − | 0.654173i | \(-0.226983\pi\) |
−0.944703 | + | 0.327927i | \(0.893650\pi\) | |||||||
\(20\) | −1.37994 | − | 11.7251i | −0.308564 | − | 2.62180i | ||||
\(21\) | −2.58122 | + | 4.47080i | −0.563268 | + | 0.975608i | ||||
\(22\) | 7.42768 | + | 4.28838i | 1.58359 | + | 0.914285i | ||||
\(23\) | − | 7.20428i | − | 1.50220i | −0.660190 | − | 0.751098i | \(-0.729524\pi\) | ||
0.660190 | − | 0.751098i | \(-0.270476\pi\) | |||||||
\(24\) | −12.0364 | − | 20.8477i | −2.45692 | − | 4.25551i | ||||
\(25\) | 3.43700 | + | 3.63139i | 0.687401 | + | 0.726278i | ||||
\(26\) | −6.65702 | −1.30555 | ||||||||
\(27\) | 3.80880i | 0.733003i | ||||||||
\(28\) | 8.67727 | + | 5.00982i | 1.63985 | + | 0.946767i | ||||
\(29\) | 0.245379 | 0.0455657 | 0.0227829 | − | 0.999740i | \(-0.492747\pi\) | ||||
0.0227829 | + | 0.999740i | \(0.492747\pi\) | |||||||
\(30\) | 15.0750 | + | 6.48849i | 2.75231 | + | 1.18463i | ||||
\(31\) | 1.81454 | 0.325901 | 0.162950 | − | 0.986634i | \(-0.447899\pi\) | ||||
0.162950 | + | 0.986634i | \(0.447899\pi\) | |||||||
\(32\) | −15.7888 | + | 9.11569i | −2.79110 | + | 1.61144i | ||||
\(33\) | −7.48882 | + | 4.32367i | −1.30364 | + | 0.752655i | ||||
\(34\) | 7.36053 | + | 12.7488i | 1.26232 | + | 2.18640i | ||||
\(35\) | −4.21437 | + | 0.495996i | −0.712359 | + | 0.0838386i | ||||
\(36\) | 23.2318 | 3.87197 | ||||||||
\(37\) | −4.84059 | − | 3.68356i | −0.795789 | − | 0.605574i | ||||
\(38\) | − | 4.43048i | − | 0.718719i | ||||||
\(39\) | 3.35591 | − | 5.81260i | 0.537375 | − | 0.930761i | ||||
\(40\) | 7.82296 | − | 18.1755i | 1.23692 | − | 2.87380i | ||||
\(41\) | −2.88091 | − | 4.98987i | −0.449922 | − | 0.779287i | 0.548459 | − | 0.836178i | \(-0.315215\pi\) |
−0.998380 | + | 0.0568903i | \(0.981881\pi\) | |||||||
\(42\) | −12.0627 | + | 6.96441i | −1.86132 | + | 1.07463i | ||||
\(43\) | − | 1.43884i | − | 0.219420i | −0.993964 | − | 0.109710i | \(-0.965008\pi\) | ||
0.993964 | − | 0.109710i | \(-0.0349923\pi\) | |||||||
\(44\) | 8.39171 | + | 14.5349i | 1.26510 | + | 2.19121i | ||||
\(45\) | −7.88739 | + | 5.88173i | −1.17578 | + | 0.876796i | ||||
\(46\) | 9.71897 | − | 16.8338i | 1.43298 | − | 2.48200i | ||||
\(47\) | − | 4.32913i | − | 0.631469i | −0.948848 | − | 0.315734i | \(-0.897749\pi\) | ||
0.948848 | − | 0.315734i | \(-0.102251\pi\) | |||||||
\(48\) | − | 36.2256i | − | 5.22872i | ||||||
\(49\) | −1.69931 | + | 2.94329i | −0.242758 | + | 0.420470i | ||||
\(50\) | 3.13207 | + | 13.1219i | 0.442941 | + | 1.85572i | ||||
\(51\) | −14.8422 | −2.07833 | ||||||||
\(52\) | −11.2815 | − | 6.51340i | −1.56447 | − | 0.903246i | ||||
\(53\) | −6.15990 | − | 3.55642i | −0.846127 | − | 0.488511i | 0.0132154 | − | 0.999913i | \(-0.495793\pi\) |
−0.859342 | + | 0.511401i | \(0.829127\pi\) | |||||||
\(54\) | −5.13828 | + | 8.89976i | −0.699231 | + | 1.21110i | ||||
\(55\) | −6.52893 | − | 2.81013i | −0.880361 | − | 0.378918i | ||||
\(56\) | 8.39676 | + | 14.5436i | 1.12206 | + | 1.94347i | ||||
\(57\) | 3.86849 | + | 2.23348i | 0.512394 | + | 0.295831i | ||||
\(58\) | 0.573361 | + | 0.331030i | 0.0752859 | + | 0.0434663i | ||||
\(59\) | 3.57811 | − | 6.19747i | 0.465831 | − | 0.806842i | −0.533408 | − | 0.845858i | \(-0.679089\pi\) |
0.999239 | + | 0.0390159i | \(0.0124223\pi\) | |||||||
\(60\) | 19.1989 | + | 25.7457i | 2.47857 | + | 3.32376i | ||||
\(61\) | 5.97389 | + | 10.3471i | 0.764878 | + | 1.32481i | 0.940311 | + | 0.340317i | \(0.110534\pi\) |
−0.175433 | + | 0.984491i | \(0.556132\pi\) | |||||||
\(62\) | 4.23991 | + | 2.44791i | 0.538469 | + | 0.310885i | ||||
\(63\) | − | 8.35026i | − | 1.05203i | ||||||
\(64\) | −22.5569 | −2.81961 | ||||||||
\(65\) | 5.47921 | − | 0.644857i | 0.679612 | − | 0.0799847i | ||||
\(66\) | −23.3315 | −2.87191 | ||||||||
\(67\) | −9.73953 | + | 5.62312i | −1.18987 | + | 0.686973i | −0.958278 | − | 0.285839i | \(-0.907728\pi\) |
−0.231595 | + | 0.972812i | \(0.574394\pi\) | |||||||
\(68\) | 28.8069i | 3.49335i | ||||||||
\(69\) | 9.79897 | + | 16.9723i | 1.17966 | + | 2.04323i | ||||
\(70\) | −10.5166 | − | 4.52646i | −1.25697 | − | 0.541015i | ||||
\(71\) | −3.12718 | − | 5.41644i | −0.371128 | − | 0.642813i | 0.618611 | − | 0.785697i | \(-0.287696\pi\) |
−0.989739 | + | 0.142884i | \(0.954362\pi\) | |||||||
\(72\) | 33.7212 | + | 19.4690i | 3.97408 | + | 2.29444i | ||||
\(73\) | 0.285406i | 0.0334042i | 0.999861 | + | 0.0167021i | \(0.00531670\pi\) | ||||
−0.999861 | + | 0.0167021i | \(0.994683\pi\) | |||||||
\(74\) | −6.34136 | − | 15.1374i | −0.737168 | − | 1.75968i | ||||
\(75\) | −13.0364 | − | 3.88019i | −1.50531 | − | 0.448046i | ||||
\(76\) | 4.33490 | − | 7.50826i | 0.497247 | − | 0.861257i | ||||
\(77\) | 5.22430 | − | 3.01625i | 0.595365 | − | 0.343734i | ||||
\(78\) | 15.6830 | − | 9.05460i | 1.77575 | − | 1.02523i | ||||
\(79\) | 1.36578 | + | 2.36560i | 0.153662 | + | 0.266151i | 0.932571 | − | 0.360986i | \(-0.117560\pi\) |
−0.778909 | + | 0.627137i | \(0.784227\pi\) | |||||||
\(80\) | 23.8707 | − | 17.8006i | 2.66882 | − | 1.99017i | ||||
\(81\) | 1.41963 | + | 2.45886i | 0.157736 | + | 0.273207i | ||||
\(82\) | − | 15.5460i | − | 1.71677i | ||||||
\(83\) | −3.71409 | − | 2.14433i | −0.407675 | − | 0.235371i | 0.282115 | − | 0.959380i | \(-0.408964\pi\) |
−0.689790 | + | 0.724009i | \(0.742297\pi\) | |||||||
\(84\) | −27.2566 | −2.97394 | ||||||||
\(85\) | −7.29321 | − | 9.78019i | −0.791060 | − | 1.06081i | ||||
\(86\) | 1.94107 | − | 3.36203i | 0.209311 | − | 0.362537i | ||||
\(87\) | −0.578080 | + | 0.333754i | −0.0619766 | + | 0.0357822i | ||||
\(88\) | 28.1300i | 2.99867i | ||||||||
\(89\) | −0.885541 | + | 1.53380i | −0.0938672 | + | 0.162583i | −0.909135 | − | 0.416501i | \(-0.863256\pi\) |
0.815268 | + | 0.579084i | \(0.196590\pi\) | |||||||
\(90\) | −26.3647 | + | 3.10291i | −2.77908 | + | 0.327075i | ||||
\(91\) | −2.34113 | + | 4.05495i | −0.245417 | + | 0.425074i | ||||
\(92\) | 32.9412 | − | 19.0186i | 3.43435 | − | 1.98282i | ||||
\(93\) | −4.27481 | + | 2.46806i | −0.443277 | + | 0.255926i | ||||
\(94\) | 5.84024 | − | 10.1156i | 0.602374 | − | 1.04334i | ||||
\(95\) | 0.429175 | + | 3.64661i | 0.0440325 | + | 0.374134i | ||||
\(96\) | 24.7976 | − | 42.9506i | 2.53089 | − | 4.38363i | ||||
\(97\) | − | 1.52604i | − | 0.154946i | −0.996994 | − | 0.0774728i | \(-0.975315\pi\) | ||
0.996994 | − | 0.0774728i | \(-0.0246851\pi\) | |||||||
\(98\) | −7.94131 | + | 4.58492i | −0.802194 | + | 0.463147i | ||||
\(99\) | 6.99356 | − | 12.1132i | 0.702880 | − | 1.21742i | ||||
\(100\) | −7.53098 | + | 25.3020i | −0.753098 | + | 2.53020i | ||||
\(101\) | 5.79445 | 0.576569 | 0.288284 | − | 0.957545i | \(-0.406915\pi\) | ||||
0.288284 | + | 0.957545i | \(0.406915\pi\) | |||||||
\(102\) | −34.6808 | − | 20.0230i | −3.43391 | − | 1.98257i | ||||
\(103\) | 3.18412i | 0.313740i | 0.987619 | + | 0.156870i | \(0.0501404\pi\) | ||||
−0.987619 | + | 0.156870i | \(0.949860\pi\) | |||||||
\(104\) | −10.9168 | − | 18.9085i | −1.07048 | − | 1.85413i | ||||
\(105\) | 9.25385 | − | 6.90071i | 0.903083 | − | 0.673441i | ||||
\(106\) | −9.59561 | − | 16.6201i | −0.932008 | − | 1.61428i | ||||
\(107\) | 7.55435 | − | 4.36151i | 0.730307 | − | 0.421643i | −0.0882278 | − | 0.996100i | \(-0.528120\pi\) |
0.818534 | + | 0.574458i | \(0.194787\pi\) | |||||||
\(108\) | −17.4155 | + | 10.0548i | −1.67581 | + | 0.967528i | ||||
\(109\) | −5.29363 | + | 9.16884i | −0.507038 | + | 0.878215i | 0.492929 | + | 0.870070i | \(0.335926\pi\) |
−0.999967 | + | 0.00814583i | \(0.997407\pi\) | |||||||
\(110\) | −11.4647 | − | 15.3741i | −1.09312 | − | 1.46587i | ||||
\(111\) | 16.4140 | + | 2.09400i | 1.55795 | + | 0.198754i | ||||
\(112\) | 25.2715i | 2.38793i | ||||||||
\(113\) | 13.9004 | + | 8.02538i | 1.30764 | + | 0.754964i | 0.981701 | − | 0.190428i | \(-0.0609876\pi\) |
0.325935 | + | 0.945392i | \(0.394321\pi\) | |||||||
\(114\) | 6.02616 | + | 10.4376i | 0.564402 | + | 0.977573i | ||||
\(115\) | −6.36876 | + | 14.7969i | −0.593890 | + | 1.37982i | ||||
\(116\) | 0.647776 | + | 1.12198i | 0.0601445 | + | 0.104173i | ||||
\(117\) | 10.8564i | 1.00367i | ||||||||
\(118\) | 16.7215 | − | 9.65414i | 1.53934 | − | 0.888736i | ||||
\(119\) | 10.3541 | 0.949163 | ||||||||
\(120\) | 6.29173 | + | 53.4595i | 0.574354 | + | 4.88016i | ||||
\(121\) | −0.895235 | −0.0813850 | ||||||||
\(122\) | 32.2364i | 2.91855i | ||||||||
\(123\) | 13.5740 | + | 7.83698i | 1.22393 | + | 0.706637i | ||||
\(124\) | 4.79020 | + | 8.29687i | 0.430173 | + | 0.745081i | ||||
\(125\) | −3.84902 | − | 10.4969i | −0.344267 | − | 0.938872i | ||||
\(126\) | 11.2650 | − | 19.5115i | 1.00356 | − | 1.73822i | ||||
\(127\) | −13.7785 | − | 7.95504i | −1.22265 | − | 0.705895i | −0.257165 | − | 0.966367i | \(-0.582788\pi\) |
−0.965481 | + | 0.260472i | \(0.916122\pi\) | |||||||
\(128\) | −21.1295 | − | 12.1991i | −1.86760 | − | 1.07826i | ||||
\(129\) | 1.95705 | + | 3.38970i | 0.172308 | + | 0.298447i | ||||
\(130\) | 13.6728 | + | 5.88496i | 1.19919 | + | 0.516145i | ||||
\(131\) | −6.40809 | + | 11.0991i | −0.559877 | + | 0.969736i | 0.437629 | + | 0.899156i | \(0.355818\pi\) |
−0.997506 | + | 0.0705799i | \(0.977515\pi\) | |||||||
\(132\) | −39.5395 | − | 22.8281i | −3.44147 | − | 1.98693i | ||||
\(133\) | −2.69871 | − | 1.55810i | −0.234008 | − | 0.135105i | ||||
\(134\) | −30.3436 | −2.62129 | ||||||||
\(135\) | 3.36707 | − | 7.82288i | 0.289791 | − | 0.673287i | ||||
\(136\) | −24.1411 | + | 41.8136i | −2.07008 | + | 3.58548i | ||||
\(137\) | 4.47279i | 0.382136i | 0.981577 | + | 0.191068i | \(0.0611952\pi\) | ||||
−0.981577 | + | 0.191068i | \(0.938805\pi\) | |||||||
\(138\) | 52.8774i | 4.50122i | ||||||||
\(139\) | 4.89968 | − | 8.48649i | 0.415585 | − | 0.719815i | −0.579904 | − | 0.814685i | \(-0.696910\pi\) |
0.995490 | + | 0.0948696i | \(0.0302434\pi\) | |||||||
\(140\) | −13.3934 | − | 17.9606i | −1.13195 | − | 1.51795i | ||||
\(141\) | 5.88831 | + | 10.1988i | 0.495885 | + | 0.858898i | ||||
\(142\) | − | 16.8750i | − | 1.41612i | ||||||
\(143\) | −6.79225 | + | 3.92151i | −0.567997 | + | 0.327933i | ||||
\(144\) | 29.2976 | + | 50.7449i | 2.44146 | + | 4.22874i | ||||
\(145\) | −0.503984 | − | 0.216921i | −0.0418536 | − | 0.0180143i | ||||
\(146\) | −0.385028 | + | 0.666889i | −0.0318652 | + | 0.0551921i | ||||
\(147\) | − | 9.24531i | − | 0.762541i | ||||||
\(148\) | 4.06420 | − | 31.8576i | 0.334075 | − | 2.61868i | ||||
\(149\) | −22.0724 | −1.80824 | −0.904121 | − | 0.427277i | \(-0.859473\pi\) | ||||
−0.904121 | + | 0.427277i | \(0.859473\pi\) | |||||||
\(150\) | −25.2266 | − | 26.6534i | −2.05975 | − | 2.17624i | ||||
\(151\) | −1.51077 | − | 2.61673i | −0.122945 | − | 0.212947i | 0.797983 | − | 0.602680i | \(-0.205900\pi\) |
−0.920928 | + | 0.389733i | \(0.872567\pi\) | |||||||
\(152\) | 12.5843 | − | 7.26555i | 1.02072 | − | 0.589314i | ||||
\(153\) | 20.7910 | − | 12.0037i | 1.68085 | − | 0.970441i | ||||
\(154\) | 16.2764 | 1.31159 | ||||||||
\(155\) | −3.72688 | − | 1.60410i | −0.299350 | − | 0.128844i | ||||
\(156\) | 35.4370 | 2.83723 | ||||||||
\(157\) | 17.6374 | + | 10.1830i | 1.40762 | + | 0.812689i | 0.995158 | − | 0.0982871i | \(-0.0313364\pi\) |
0.412460 | + | 0.910976i | \(0.364670\pi\) | |||||||
\(158\) | 7.37006i | 0.586330i | ||||||||
\(159\) | 19.3492 | 1.53449 | ||||||||
\(160\) | 40.4872 | − | 4.76500i | 3.20079 | − | 0.376706i | ||||
\(161\) | −6.83590 | − | 11.8401i | −0.538744 | − | 0.933132i | ||||
\(162\) | 7.66061i | 0.601875i | ||||||||
\(163\) | 5.31874 | + | 3.07078i | 0.416596 | + | 0.240522i | 0.693620 | − | 0.720341i | \(-0.256015\pi\) |
−0.277024 | + | 0.960863i | \(0.589348\pi\) | |||||||
\(164\) | 15.2106 | − | 26.3455i | 1.18775 | − | 2.05724i | ||||
\(165\) | 19.2035 | − | 2.26009i | 1.49499 | − | 0.175948i | ||||
\(166\) | −5.78565 | − | 10.0210i | −0.449053 | − | 0.777783i | ||||
\(167\) | 11.6263 | − | 6.71243i | 0.899668 | − | 0.519424i | 0.0225756 | − | 0.999745i | \(-0.492813\pi\) |
0.877092 | + | 0.480322i | \(0.159480\pi\) | |||||||
\(168\) | −39.5633 | − | 22.8419i | −3.05237 | − | 1.76229i | ||||
\(169\) | −3.45624 | + | 5.98639i | −0.265865 | + | 0.460491i | ||||
\(170\) | −3.84754 | − | 32.6917i | −0.295092 | − | 2.50734i | ||||
\(171\) | −7.22532 | −0.552534 | ||||||||
\(172\) | 6.57899 | − | 3.79838i | 0.501644 | − | 0.289624i | ||||
\(173\) | −8.40016 | − | 4.84983i | −0.638652 | − | 0.368726i | 0.145443 | − | 0.989367i | \(-0.453539\pi\) |
−0.784095 | + | 0.620641i | \(0.786873\pi\) | |||||||
\(174\) | −1.80101 | −0.136534 | ||||||||
\(175\) | 9.09436 | + | 2.70688i | 0.687469 | + | 0.204621i | ||||
\(176\) | −21.1655 | + | 36.6598i | −1.59541 | + | 2.76334i | ||||
\(177\) | 19.4672i | 1.46324i | ||||||||
\(178\) | −4.13837 | + | 2.38929i | −0.310184 | + | 0.179085i | ||||
\(179\) | 9.93133 | 0.742303 | 0.371151 | − | 0.928572i | \(-0.378963\pi\) | ||||
0.371151 | + | 0.928572i | \(0.378963\pi\) | |||||||
\(180\) | −47.7158 | − | 20.5375i | −3.55652 | − | 1.53077i | ||||
\(181\) | −10.3958 | − | 18.0061i | −0.772715 | − | 1.33838i | −0.936070 | − | 0.351814i | \(-0.885565\pi\) |
0.163355 | − | 0.986567i | \(-0.447768\pi\) | |||||||
\(182\) | −10.9407 | + | 6.31662i | −0.810979 | + | 0.468219i | ||||
\(183\) | −28.1473 | − | 16.2509i | −2.08071 | − | 1.20130i | ||||
\(184\) | 63.7526 | 4.69990 | ||||||||
\(185\) | 6.68573 | + | 11.8449i | 0.491545 | + | 0.870852i | ||||
\(186\) | −13.3182 | −0.976538 | ||||||||
\(187\) | 15.0201 | + | 8.67187i | 1.09838 | + | 0.634150i | ||||
\(188\) | 19.7947 | − | 11.4285i | 1.44368 | − | 0.833507i | ||||
\(189\) | 3.61404 | + | 6.25969i | 0.262882 | + | 0.455326i | ||||
\(190\) | −3.91665 | + | 9.09977i | −0.284144 | + | 0.660167i | ||||
\(191\) | −4.07602 | −0.294931 | −0.147465 | − | 0.989067i | \(-0.547111\pi\) | ||||
−0.147465 | + | 0.989067i | \(0.547111\pi\) | |||||||
\(192\) | 53.1410 | − | 30.6809i | 3.83512 | − | 2.21421i | ||||
\(193\) | 2.98338i | 0.214748i | 0.994219 | + | 0.107374i | \(0.0342443\pi\) | ||||
−0.994219 | + | 0.107374i | \(0.965756\pi\) | |||||||
\(194\) | 2.05871 | − | 3.56579i | 0.147807 | − | 0.256009i | ||||
\(195\) | −12.0312 | + | 8.97179i | −0.861570 | + | 0.642483i | ||||
\(196\) | −17.9440 | −1.28171 | ||||||||
\(197\) | −11.4932 | − | 6.63563i | −0.818860 | − | 0.472769i | 0.0311633 | − | 0.999514i | \(-0.490079\pi\) |
−0.850023 | + | 0.526745i | \(0.823412\pi\) | |||||||
\(198\) | 32.6828 | − | 18.8694i | 2.32266 | − | 1.34099i | ||||
\(199\) | −12.5424 | −0.889104 | −0.444552 | − | 0.895753i | \(-0.646637\pi\) | ||||
−0.444552 | + | 0.895753i | \(0.646637\pi\) | |||||||
\(200\) | −32.1351 | + | 30.4150i | −2.27230 | + | 2.15066i | ||||
\(201\) | 15.2967 | − | 26.4946i | 1.07894 | − | 1.86879i | ||||
\(202\) | 13.5395 | + | 7.81703i | 0.952635 | + | 0.550004i | ||||
\(203\) | 0.403276 | − | 0.232832i | 0.0283045 | − | 0.0163416i | ||||
\(204\) | −39.1820 | − | 67.8652i | −2.74329 | − | 4.75152i | ||||
\(205\) | 1.50592 | + | 12.7955i | 0.105178 | + | 0.893676i | ||||
\(206\) | −4.29555 | + | 7.44011i | −0.299285 | + | 0.518377i | ||||
\(207\) | −27.4528 | − | 15.8499i | −1.90810 | − | 1.10164i | ||||
\(208\) | − | 32.8561i | − | 2.27816i | ||||||
\(209\) | −2.60990 | − | 4.52049i | −0.180531 | − | 0.312689i | ||||
\(210\) | 30.9323 | − | 3.64047i | 2.13453 | − | 0.251216i | ||||
\(211\) | 15.0586 | 1.03668 | 0.518340 | − | 0.855175i | \(-0.326550\pi\) | ||||
0.518340 | + | 0.855175i | \(0.326550\pi\) | |||||||
\(212\) | − | 37.5543i | − | 2.57924i | ||||||
\(213\) | 14.7344 | + | 8.50693i | 1.00959 | + | 0.582885i | ||||
\(214\) | 23.5356 | 1.60886 | ||||||||
\(215\) | −1.27197 | + | 2.95522i | −0.0867473 | + | 0.201545i | ||||
\(216\) | −33.7050 | −2.29334 | ||||||||
\(217\) | 2.98217 | − | 1.72175i | 0.202443 | − | 0.116880i | ||||
\(218\) | −24.7385 | + | 14.2828i | −1.67551 | + | 0.967353i | ||||
\(219\) | −0.388197 | − | 0.672378i | −0.0262320 | − | 0.0454351i | ||||
\(220\) | −4.38656 | − | 37.2716i | −0.295742 | − | 2.51285i | ||||
\(221\) | −13.4617 | −0.905531 | ||||||||
\(222\) | 35.5286 | + | 27.0363i | 2.38452 | + | 1.81456i | ||||
\(223\) | 16.1509i | 1.08154i | 0.841169 | + | 0.540772i | \(0.181868\pi\) | ||||
−0.841169 | + | 0.540772i | \(0.818132\pi\) | |||||||
\(224\) | −17.2991 | + | 29.9630i | −1.15585 | + | 2.00198i | ||||
\(225\) | 21.3995 | − | 5.10783i | 1.42663 | − | 0.340522i | ||||
\(226\) | 21.6534 | + | 37.5047i | 1.44036 | + | 2.49478i | ||||
\(227\) | 6.56666 | − | 3.79126i | 0.435844 | − | 0.251635i | −0.265989 | − | 0.963976i | \(-0.585698\pi\) |
0.701833 | + | 0.712341i | \(0.252365\pi\) | |||||||
\(228\) | 23.5846i | 1.56193i | ||||||||
\(229\) | 3.96391 | + | 6.86569i | 0.261942 | + | 0.453698i | 0.966758 | − | 0.255693i | \(-0.0823036\pi\) |
−0.704816 | + | 0.709391i | \(0.748970\pi\) | |||||||
\(230\) | −34.8432 | + | 25.9830i | −2.29749 | + | 1.71327i | ||||
\(231\) | −8.20517 | + | 14.2118i | −0.539860 | + | 0.935066i | ||||
\(232\) | 2.17142i | 0.142561i | ||||||||
\(233\) | − | 10.7335i | − | 0.703172i | −0.936156 | − | 0.351586i | \(-0.885642\pi\) | ||
0.936156 | − | 0.351586i | \(-0.114358\pi\) | |||||||
\(234\) | −14.6459 | + | 25.3674i | −0.957431 | + | 1.65832i | ||||
\(235\) | −3.82705 | + | 8.89160i | −0.249649 | + | 0.580024i | ||||
\(236\) | 37.7834 | 2.45949 | ||||||||
\(237\) | −6.43519 | − | 3.71536i | −0.418010 | − | 0.241338i | ||||
\(238\) | 24.1938 | + | 13.9683i | 1.56825 | + | 0.905431i | ||||
\(239\) | 9.01653 | − | 15.6171i | 0.583231 | − | 1.01019i | −0.411863 | − | 0.911246i | \(-0.635122\pi\) |
0.995093 | − | 0.0989392i | \(-0.0315449\pi\) | |||||||
\(240\) | −32.0243 | + | 74.4038i | −2.06716 | + | 4.80274i | ||||
\(241\) | −12.5313 | − | 21.7048i | −0.807211 | − | 1.39813i | −0.914788 | − | 0.403934i | \(-0.867643\pi\) |
0.107577 | − | 0.994197i | \(-0.465691\pi\) | |||||||
\(242\) | −2.09184 | − | 1.20772i | −0.134468 | − | 0.0776353i | ||||
\(243\) | −16.5844 | − | 9.57503i | −1.06389 | − | 0.614238i | ||||
\(244\) | −31.5409 | + | 54.6305i | −2.01920 | + | 3.49736i | ||||
\(245\) | 6.09214 | − | 4.54299i | 0.389213 | − | 0.290241i | ||||
\(246\) | 21.1450 | + | 36.6243i | 1.34816 | + | 2.33508i | ||||
\(247\) | 3.50867 | + | 2.02573i | 0.223251 | + | 0.128894i | ||||
\(248\) | 16.0573i | 1.01964i | ||||||||
\(249\) | 11.6665 | 0.739336 | ||||||||
\(250\) | 5.16715 | − | 29.7200i | 0.326799 | − | 1.87965i | ||||
\(251\) | 19.2366 | 1.21420 | 0.607101 | − | 0.794625i | \(-0.292333\pi\) | ||||
0.607101 | + | 0.794625i | \(0.292333\pi\) | |||||||
\(252\) | 38.1811 | − | 22.0439i | 2.40518 | − | 1.38863i | ||||
\(253\) | − | 22.9010i | − | 1.43977i | ||||||
\(254\) | −21.4636 | − | 37.1760i | −1.34674 | − | 2.33263i | ||||
\(255\) | 30.4844 | + | 13.1209i | 1.90901 | + | 0.821661i | ||||
\(256\) | −10.3577 | − | 17.9400i | −0.647353 | − | 1.12125i | ||||
\(257\) | 8.40400 | + | 4.85205i | 0.524227 | + | 0.302663i | 0.738662 | − | 0.674076i | \(-0.235458\pi\) |
−0.214435 | + | 0.976738i | \(0.568791\pi\) | |||||||
\(258\) | 10.5607i | 0.657478i | ||||||||
\(259\) | −11.4506 | − | 1.46080i | −0.711509 | − | 0.0907699i | ||||
\(260\) | 17.4131 | + | 23.3510i | 1.07992 | + | 1.44817i | ||||
\(261\) | 0.539850 | − | 0.935047i | 0.0334159 | − | 0.0578780i | ||||
\(262\) | −29.9467 | + | 17.2897i | −1.85011 | + | 1.06816i | ||||
\(263\) | 17.5046 | − | 10.1063i | 1.07938 | − | 0.623180i | 0.148650 | − | 0.988890i | \(-0.452507\pi\) |
0.930729 | + | 0.365710i | \(0.119174\pi\) | |||||||
\(264\) | −38.2613 | − | 66.2705i | −2.35482 | − | 4.07867i | ||||
\(265\) | 9.50785 | + | 12.7500i | 0.584062 | + | 0.783227i | ||||
\(266\) | −4.20393 | − | 7.28143i | −0.257760 | − | 0.446453i | ||||
\(267\) | − | 4.81791i | − | 0.294851i | ||||||
\(268\) | −51.4228 | − | 29.6889i | −3.14115 | − | 1.81354i | ||||
\(269\) | −31.2408 | −1.90478 | −0.952391 | − | 0.304879i | \(-0.901384\pi\) | ||||
−0.952391 | + | 0.304879i | \(0.901384\pi\) | |||||||
\(270\) | 18.4211 | − | 13.7368i | 1.12107 | − | 0.835998i | ||||
\(271\) | 0.704387 | − | 1.22003i | 0.0427884 | − | 0.0741118i | −0.843838 | − | 0.536598i | \(-0.819709\pi\) |
0.886626 | + | 0.462486i | \(0.153043\pi\) | |||||||
\(272\) | −62.9226 | + | 36.3284i | −3.81524 | + | 2.20273i | ||||
\(273\) | − | 12.7372i | − | 0.770891i | ||||||
\(274\) | −6.03404 | + | 10.4513i | −0.364530 | + | 0.631384i | ||||
\(275\) | 10.9255 | + | 11.5435i | 0.658835 | + | 0.696097i | ||||
\(276\) | −51.7366 | + | 89.6104i | −3.11418 | + | 5.39391i | ||||
\(277\) | 18.6145 | − | 10.7471i | 1.11844 | − | 0.645729i | 0.177434 | − | 0.984133i | \(-0.443220\pi\) |
0.941001 | + | 0.338404i | \(0.109887\pi\) | |||||||
\(278\) | 22.8975 | − | 13.2199i | 1.37330 | − | 0.792875i | ||||
\(279\) | 3.99210 | − | 6.91452i | 0.239001 | − | 0.413962i | ||||
\(280\) | −4.38920 | − | 37.2941i | −0.262305 | − | 2.22875i | ||||
\(281\) | −12.4889 | + | 21.6314i | −0.745025 | + | 1.29042i | 0.205158 | + | 0.978729i | \(0.434229\pi\) |
−0.950183 | + | 0.311693i | \(0.899104\pi\) | |||||||
\(282\) | 31.7746i | 1.89215i | ||||||||
\(283\) | −22.9991 | + | 13.2785i | −1.36716 | + | 0.789328i | −0.990564 | − | 0.137052i | \(-0.956237\pi\) |
−0.376592 | + | 0.926379i | \(0.622904\pi\) | |||||||
\(284\) | 16.5109 | − | 28.5977i | 0.979742 | − | 1.69696i | ||||
\(285\) | −5.97105 | − | 8.00717i | −0.353694 | − | 0.474304i | ||||
\(286\) | −21.1613 | −1.25130 | ||||||||
\(287\) | −9.46944 | − | 5.46718i | −0.558963 | − | 0.322718i | ||||
\(288\) | 80.2204i | 4.72703i | ||||||||
\(289\) | 6.38432 | + | 11.0580i | 0.375548 | + | 0.650468i | ||||
\(290\) | −0.884986 | − | 1.18677i | −0.0519682 | − | 0.0696893i | ||||
\(291\) | 2.07565 | + | 3.59514i | 0.121677 | + | 0.210751i | ||||
\(292\) | −1.30500 | + | 0.753443i | −0.0763695 | + | 0.0440919i | ||||
\(293\) | −2.07771 | + | 1.19957i | −0.121381 | + | 0.0700795i | −0.559461 | − | 0.828856i | \(-0.688992\pi\) |
0.438080 | + | 0.898936i | \(0.355659\pi\) | |||||||
\(294\) | 12.4724 | − | 21.6029i | 0.727407 | − | 1.25991i | ||||
\(295\) | −12.8278 | + | 9.56585i | −0.746863 | + | 0.556945i | ||||
\(296\) | 32.5968 | − | 42.8357i | 1.89465 | − | 2.48977i | ||||
\(297\) | 12.1074i | 0.702543i | ||||||||
\(298\) | −51.5751 | − | 29.7769i | −2.98766 | − | 1.72493i | ||||
\(299\) | 8.88752 | + | 15.3936i | 0.513979 | + | 0.890237i | ||||
\(300\) | −16.6728 | − | 69.8514i | −0.962604 | − | 4.03287i | ||||
\(301\) | −1.36526 | − | 2.36470i | −0.0786924 | − | 0.136299i | ||||
\(302\) | − | 8.15245i | − | 0.469121i | ||||||
\(303\) | −13.6509 | + | 7.88137i | −0.784225 | + | 0.452773i | ||||
\(304\) | 21.8669 | 1.25415 | ||||||||
\(305\) | −3.12270 | − | 26.5329i | −0.178805 | − | 1.51927i | ||||
\(306\) | 64.7746 | 3.70292 | ||||||||
\(307\) | 6.12041i | 0.349310i | 0.984630 | + | 0.174655i | \(0.0558811\pi\) | ||||
−0.984630 | + | 0.174655i | \(0.944119\pi\) | |||||||
\(308\) | 27.5833 | + | 15.9252i | 1.57170 | + | 0.907423i | ||||
\(309\) | −4.33091 | − | 7.50135i | −0.246377 | − | 0.426737i | ||||
\(310\) | −6.54433 | − | 8.77595i | −0.371693 | − | 0.498440i | ||||
\(311\) | −0.130627 | + | 0.226253i | −0.00740720 | + | 0.0128297i | −0.869705 | − | 0.493571i | \(-0.835691\pi\) |
0.862298 | + | 0.506401i | \(0.169024\pi\) | |||||||
\(312\) | 51.4372 | + | 29.6973i | 2.91206 | + | 1.68128i | ||||
\(313\) | −3.10544 | − | 1.79293i | −0.175530 | − | 0.101342i | 0.409661 | − | 0.912238i | \(-0.365647\pi\) |
−0.585191 | + | 0.810896i | \(0.698980\pi\) | |||||||
\(314\) | 27.4747 | + | 47.5877i | 1.55049 | + | 2.68553i | ||||
\(315\) | −7.38183 | + | 17.1506i | −0.415919 | + | 0.966327i | ||||
\(316\) | −7.21105 | + | 12.4899i | −0.405653 | + | 0.702612i | ||||
\(317\) | 6.65746 | + | 3.84369i | 0.373920 | + | 0.215883i | 0.675170 | − | 0.737662i | \(-0.264070\pi\) |
−0.301250 | + | 0.953545i | \(0.597404\pi\) | |||||||
\(318\) | 45.2119 | + | 26.1031i | 2.53536 | + | 1.46379i | ||||
\(319\) | 0.780011 | 0.0436722 | ||||||||
\(320\) | 46.3296 | + | 19.9408i | 2.58990 | + | 1.11473i | ||||
\(321\) | −11.8647 | + | 20.5502i | −0.662222 | + | 1.14700i | ||||
\(322\) | − | 36.8880i | − | 2.05569i | ||||||
\(323\) | − | 8.95923i | − | 0.498505i | ||||||
\(324\) | −7.49534 | + | 12.9823i | −0.416408 | + | 0.721239i | ||||
\(325\) | −11.8238 | − | 3.51928i | −0.655867 | − | 0.195215i | ||||
\(326\) | 8.28530 | + | 14.3506i | 0.458880 | + | 0.794804i | ||||
\(327\) | − | 28.8007i | − | 1.59268i | ||||||
\(328\) | 44.1567 | − | 25.4939i | 2.43815 | − | 1.40766i | ||||
\(329\) | −4.10776 | − | 7.11486i | −0.226468 | − | 0.392255i | ||||
\(330\) | 47.9205 | + | 20.6256i | 2.63794 | + | 1.13540i | ||||
\(331\) | −3.58867 | + | 6.21575i | −0.197251 | + | 0.341649i | −0.947636 | − | 0.319352i | \(-0.896535\pi\) |
0.750385 | + | 0.661001i | \(0.229868\pi\) | |||||||
\(332\) | − | 22.6433i | − | 1.24271i | ||||||
\(333\) | −24.6863 | + | 10.3416i | −1.35280 | + | 0.566716i | ||||
\(334\) | 36.2218 | 1.98197 | ||||||||
\(335\) | 24.9750 | − | 2.93935i | 1.36453 | − | 0.160594i | ||||
\(336\) | −34.3733 | − | 59.5362i | −1.87521 | − | 3.24797i | ||||
\(337\) | −10.8788 | + | 6.28087i | −0.592605 | + | 0.342141i | −0.766127 | − | 0.642689i | \(-0.777819\pi\) |
0.173522 | + | 0.984830i | \(0.444485\pi\) | |||||||
\(338\) | −16.1519 | + | 9.32532i | −0.878549 | + | 0.507231i | ||||
\(339\) | −43.6632 | −2.37146 | ||||||||
\(340\) | 25.4660 | − | 59.1665i | 1.38109 | − | 3.20876i | ||||
\(341\) | 5.76805 | 0.312358 | ||||||||
\(342\) | −16.8829 | − | 9.74735i | −0.912923 | − | 0.527076i | ||||
\(343\) | 19.7338i | 1.06552i | ||||||||
\(344\) | 12.7326 | 0.686498 | ||||||||
\(345\) | −5.12217 | − | 43.5219i | −0.275768 | − | 2.34314i | ||||
\(346\) | −13.0854 | − | 22.6646i | −0.703475 | − | 1.21845i | ||||
\(347\) | 30.2950i | 1.62632i | 0.582039 | + | 0.813161i | \(0.302255\pi\) | ||||
−0.582039 | + | 0.813161i | \(0.697745\pi\) | |||||||
\(348\) | −3.05215 | − | 1.76216i | −0.163612 | − | 0.0944615i | ||||
\(349\) | −1.78643 | + | 3.09418i | −0.0956252 | + | 0.165628i | −0.909869 | − | 0.414895i | \(-0.863818\pi\) |
0.814244 | + | 0.580523i | \(0.197152\pi\) | |||||||
\(350\) | 17.5985 | + | 18.5938i | 0.940677 | + | 0.993879i | ||||
\(351\) | −4.69870 | − | 8.13839i | −0.250798 | − | 0.434395i | ||||
\(352\) | −50.1895 | + | 28.9769i | −2.67511 | + | 1.54448i | ||||
\(353\) | 1.33853 | + | 0.772798i | 0.0712425 | + | 0.0411319i | 0.535198 | − | 0.844727i | \(-0.320237\pi\) |
−0.463956 | + | 0.885858i | \(0.653570\pi\) | |||||||
\(354\) | −26.2623 | + | 45.4877i | −1.39583 | + | 2.41764i | ||||
\(355\) | 1.63466 | + | 13.8893i | 0.0867586 | + | 0.737169i | ||||
\(356\) | −9.35096 | −0.495600 | ||||||||
\(357\) | −24.3930 | + | 14.0833i | −1.29101 | + | 0.745366i | ||||
\(358\) | 23.2059 | + | 13.3979i | 1.22647 | + | 0.708102i | ||||
\(359\) | −23.3790 | −1.23390 | −0.616949 | − | 0.787003i | \(-0.711631\pi\) | ||||
−0.616949 | + | 0.787003i | \(0.711631\pi\) | |||||||
\(360\) | −52.0490 | − | 69.7976i | −2.74322 | − | 3.67866i | ||||
\(361\) | 8.15180 | − | 14.1193i | 0.429042 | − | 0.743123i | ||||
\(362\) | − | 56.0981i | − | 2.94845i | ||||||
\(363\) | 2.10905 | − | 1.21766i | 0.110697 | − | 0.0639107i | ||||
\(364\) | −24.7214 | −1.29575 | ||||||||
\(365\) | 0.252306 | − | 0.586195i | 0.0132063 | − | 0.0306829i | ||||
\(366\) | −43.8467 | − | 75.9447i | −2.29190 | − | 3.96969i | ||||
\(367\) | −3.00500 | + | 1.73494i | −0.156860 | + | 0.0905630i | −0.576375 | − | 0.817185i | \(-0.695533\pi\) |
0.419515 | + | 0.907748i | \(0.362200\pi\) | |||||||
\(368\) | 83.0840 | + | 47.9686i | 4.33106 | + | 2.50054i | ||||
\(369\) | −25.3527 | −1.31981 | ||||||||
\(370\) | −0.357281 | + | 36.6965i | −0.0185742 | + | 1.90776i | ||||
\(371\) | −13.4982 | −0.700794 | ||||||||
\(372\) | −22.5701 | − | 13.0309i | −1.17021 | − | 0.675619i | ||||
\(373\) | −20.9537 | + | 12.0976i | −1.08494 | + | 0.626392i | −0.932226 | − | 0.361878i | \(-0.882136\pi\) |
−0.152717 | + | 0.988270i | \(0.548802\pi\) | |||||||
\(374\) | 23.3977 | + | 40.5259i | 1.20986 | + | 2.09555i | ||||
\(375\) | 23.3452 | + | 19.4940i | 1.20554 | + | 1.00667i | ||||
\(376\) | 38.3096 | 1.97567 | ||||||||
\(377\) | −0.524310 | + | 0.302711i | −0.0270033 | + | 0.0155904i | ||||
\(378\) | 19.5021i | 1.00308i | ||||||||
\(379\) | −7.62260 | + | 13.2027i | −0.391547 | + | 0.678179i | −0.992654 | − | 0.120990i | \(-0.961393\pi\) |
0.601107 | + | 0.799168i | \(0.294726\pi\) | |||||||
\(380\) | −15.5409 | + | 11.5891i | −0.797233 | + | 0.594507i | ||||
\(381\) | 43.2805 | 2.21733 | ||||||||
\(382\) | −9.52416 | − | 5.49878i | −0.487299 | − | 0.281342i | ||||
\(383\) | −15.6389 | + | 9.02913i | −0.799111 | + | 0.461367i | −0.843160 | − | 0.537662i | \(-0.819308\pi\) |
0.0440491 | + | 0.999029i | \(0.485974\pi\) | |||||||
\(384\) | 66.3709 | 3.38698 | ||||||||
\(385\) | −13.3966 | + | 1.57667i | −0.682756 | + | 0.0803546i | ||||
\(386\) | −4.02474 | + | 6.97106i | −0.204854 | + | 0.354818i | ||||
\(387\) | −5.48286 | − | 3.16553i | −0.278710 | − | 0.160913i | ||||
\(388\) | 6.97772 | − | 4.02859i | 0.354240 | − | 0.204520i | ||||
\(389\) | 5.42988 | + | 9.40484i | 0.275306 | + | 0.476844i | 0.970212 | − | 0.242256i | \(-0.0778875\pi\) |
−0.694906 | + | 0.719100i | \(0.744554\pi\) | |||||||
\(390\) | −40.2159 | + | 4.73307i | −2.03641 | + | 0.239668i | ||||
\(391\) | 19.6535 | − | 34.0409i | 0.993921 | − | 1.72152i | ||||
\(392\) | −26.0459 | − | 15.0376i | −1.31552 | − | 0.759515i | ||||
\(393\) | − | 34.8641i | − | 1.75866i | ||||||
\(394\) | −17.9037 | − | 31.0100i | −0.901973 | − | 1.56226i | ||||
\(395\) | −0.713928 | − | 6.06609i | −0.0359216 | − | 0.305218i | ||||
\(396\) | 73.8492 | 3.71106 | ||||||||
\(397\) | 33.8876i | 1.70077i | 0.526159 | + | 0.850386i | \(0.323632\pi\) | ||||
−0.526159 | + | 0.850386i | \(0.676368\pi\) | |||||||
\(398\) | −29.3069 | − | 16.9203i | −1.46902 | − | 0.848140i | ||||
\(399\) | 8.47707 | 0.424384 | ||||||||
\(400\) | −64.7641 | + | 15.4585i | −3.23821 | + | 0.772925i | ||||
\(401\) | −25.2937 | −1.26311 | −0.631553 | − | 0.775333i | \(-0.717582\pi\) | ||||
−0.631553 | + | 0.775333i | \(0.717582\pi\) | |||||||
\(402\) | 71.4854 | − | 41.2721i | 3.56537 | − | 2.05847i | ||||
\(403\) | −3.87719 | + | 2.23850i | −0.193137 | + | 0.111507i | ||||
\(404\) | 15.2968 | + | 26.4948i | 0.761042 | + | 1.31816i | ||||
\(405\) | −0.742074 | − | 6.30524i | −0.0368739 | − | 0.313310i | ||||
\(406\) | 1.25641 | 0.0623547 | ||||||||
\(407\) | −15.3873 | − | 11.7093i | −0.762719 | − | 0.580409i | ||||
\(408\) | − | 131.343i | − | 6.50244i | ||||||
\(409\) | −5.84803 | + | 10.1291i | −0.289166 | + | 0.500851i | −0.973611 | − | 0.228214i | \(-0.926711\pi\) |
0.684445 | + | 0.729065i | \(0.260045\pi\) | |||||||
\(410\) | −13.7430 | + | 31.9299i | −0.678720 | + | 1.57691i | ||||
\(411\) | −6.08371 | − | 10.5373i | −0.300087 | − | 0.519766i | ||||
\(412\) | −14.5592 | + | 8.40575i | −0.717280 | + | 0.414122i | ||||
\(413\) | − | 13.5806i | − | 0.668257i | ||||||
\(414\) | −42.7647 | − | 74.0707i | −2.10177 | − | 3.64038i | ||||
\(415\) | 5.73273 | + | 7.68759i | 0.281409 | + | 0.377369i | ||||
\(416\) | 22.4910 | − | 38.9556i | 1.10271 | − | 1.90996i | ||||
\(417\) | 26.6574i | 1.30542i | ||||||||
\(418\) | − | 14.0836i | − | 0.688852i | ||||||
\(419\) | 17.9243 | − | 31.0458i | 0.875660 | − | 1.51669i | 0.0196014 | − | 0.999808i | \(-0.493760\pi\) |
0.856058 | − | 0.516879i | \(-0.172906\pi\) | |||||||
\(420\) | 55.9823 | + | 24.0955i | 2.73166 | + | 1.17574i | ||||
\(421\) | 16.6641 | 0.812160 | 0.406080 | − | 0.913838i | \(-0.366895\pi\) | ||||
0.406080 | + | 0.913838i | \(0.366895\pi\) | |||||||
\(422\) | 35.1865 | + | 20.3149i | 1.71285 | + | 0.988915i | ||||
\(423\) | −16.4967 | − | 9.52437i | −0.802096 | − | 0.463091i | ||||
\(424\) | 31.4717 | − | 54.5105i | 1.52840 | − | 2.64727i | ||||
\(425\) | 6.33360 | + | 26.5349i | 0.307225 | + | 1.28713i | ||||
\(426\) | 22.9526 | + | 39.7551i | 1.11206 | + | 1.92614i | ||||
\(427\) | 19.6360 | + | 11.3368i | 0.950252 | + | 0.548628i | ||||
\(428\) | 39.8855 | + | 23.0279i | 1.92794 | + | 1.11309i | ||||
\(429\) | 10.6678 | − | 18.4771i | 0.515044 | − | 0.892082i | ||||
\(430\) | −6.95888 | + | 5.18932i | −0.335587 | + | 0.250251i | ||||
\(431\) | 10.8319 | + | 18.7614i | 0.521755 | + | 0.903706i | 0.999680 | + | 0.0253051i | \(0.00805573\pi\) |
−0.477925 | + | 0.878401i | \(0.658611\pi\) | |||||||
\(432\) | −43.9253 | − | 25.3603i | −2.11336 | − | 1.22015i | ||||
\(433\) | 8.29630i | 0.398695i | 0.979929 | + | 0.199347i | \(0.0638822\pi\) | ||||
−0.979929 | + | 0.199347i | \(0.936118\pi\) | |||||||
\(434\) | 9.29096 | 0.445981 | ||||||||
\(435\) | 1.48236 | − | 0.174462i | 0.0710739 | − | 0.00836481i | ||||
\(436\) | −55.8986 | −2.67706 | ||||||||
\(437\) | −10.2450 | + | 5.91497i | −0.490086 | + | 0.282951i | ||||
\(438\) | − | 2.09480i | − | 0.100093i | ||||||
\(439\) | −0.941144 | − | 1.63011i | −0.0449183 | − | 0.0778008i | 0.842692 | − | 0.538396i | \(-0.180969\pi\) |
−0.887610 | + | 0.460595i | \(0.847636\pi\) | |||||||
\(440\) | 24.8676 | − | 57.7763i | 1.18552 | − | 2.75437i | ||||
\(441\) | 7.47717 | + | 12.9508i | 0.356056 | + | 0.616707i | ||||
\(442\) | −31.4550 | − | 18.1606i | −1.49616 | − | 0.863810i | ||||
\(443\) | 6.24545i | 0.296730i | 0.988933 | + | 0.148365i | \(0.0474011\pi\) | ||||
−0.988933 | + | 0.148365i | \(0.952599\pi\) | |||||||
\(444\) | 33.7567 | + | 80.5801i | 1.60202 | + | 3.82416i | ||||
\(445\) | 3.17473 | − | 2.36744i | 0.150497 | − | 0.112227i | ||||
\(446\) | −21.7885 | + | 37.7387i | −1.03171 | + | 1.78698i | ||||
\(447\) | 51.9996 | − | 30.0220i | 2.45950 | − | 1.41999i | ||||
\(448\) | −37.0719 | + | 21.4035i | −1.75148 | + | 1.01122i | ||||
\(449\) | 2.83468 | + | 4.90980i | 0.133777 | + | 0.231708i | 0.925129 | − | 0.379652i | \(-0.123956\pi\) |
−0.791353 | + | 0.611360i | \(0.790623\pi\) | |||||||
\(450\) | 56.8935 | + | 16.9340i | 2.68199 | + | 0.798275i | ||||
\(451\) | −9.15782 | − | 15.8618i | −0.431225 | − | 0.746903i | ||||
\(452\) | 84.7448i | 3.98606i | ||||||||
\(453\) | 7.11834 | + | 4.10978i | 0.334449 | + | 0.193094i | ||||
\(454\) | 20.4585 | 0.960164 | ||||||||
\(455\) | 8.39311 | − | 6.25885i | 0.393475 | − | 0.293419i | ||||
\(456\) | −19.7646 | + | 34.2333i | −0.925563 | + | 1.60312i | ||||
\(457\) | 27.0654 | − | 15.6262i | 1.26607 | − | 0.730964i | 0.291826 | − | 0.956471i | \(-0.405737\pi\) |
0.974241 | + | 0.225507i | \(0.0724039\pi\) | |||||||
\(458\) | 21.3901i | 0.999495i | ||||||||
\(459\) | −10.3905 | + | 17.9969i | −0.484988 | + | 0.840024i | ||||
\(460\) | −84.4707 | + | 9.94149i | −3.93847 | + | 0.463525i | ||||
\(461\) | 11.8163 | − | 20.4663i | 0.550338 | − | 0.953213i | −0.447912 | − | 0.894078i | \(-0.647832\pi\) |
0.998250 | − | 0.0591354i | \(-0.0188344\pi\) | |||||||
\(462\) | −38.3449 | + | 22.1385i | −1.78397 | + | 1.02997i | ||||
\(463\) | 18.4573 | − | 10.6563i | 0.857782 | − | 0.495241i | −0.00548673 | − | 0.999985i | \(-0.501746\pi\) |
0.863269 | + | 0.504744i | \(0.168413\pi\) | |||||||
\(464\) | −1.63382 | + | 2.82986i | −0.0758481 | + | 0.131373i | ||||
\(465\) | 10.9618 | − | 1.29012i | 0.508344 | − | 0.0598278i | ||||
\(466\) | 14.4800 | − | 25.0801i | 0.670774 | − | 1.16182i | ||||
\(467\) | − | 0.195335i | − | 0.00903903i | −0.999990 | − | 0.00451951i | \(-0.998561\pi\) | ||
0.999990 | − | 0.00451951i | \(-0.00143861\pi\) | |||||||
\(468\) | −49.6402 | + | 28.6598i | −2.29462 | + | 1.32480i | ||||
\(469\) | −10.6712 | + | 18.4830i | −0.492749 | + | 0.853466i | ||||
\(470\) | −20.9377 | + | 15.6135i | −0.965783 | + | 0.720196i | ||||
\(471\) | −55.4018 | −2.55278 | ||||||||
\(472\) | 54.8431 | + | 31.6637i | 2.52436 | + | 1.45744i | ||||
\(473\) | − | 4.57377i | − | 0.210302i | ||||||
\(474\) | −10.0244 | − | 17.3629i | −0.460438 | − | 0.797502i | ||||
\(475\) | 2.34221 | − | 7.86917i | 0.107468 | − | 0.361062i | ||||
\(476\) | 27.3339 | + | 47.3437i | 1.25285 | + | 2.17000i | ||||
\(477\) | −27.1043 | + | 15.6487i | −1.24102 | + | 0.716505i | ||||
\(478\) | 42.1366 | − | 24.3276i | 1.92728 | − | 1.11272i | ||||
\(479\) | −4.75364 | + | 8.23355i | −0.217200 | + | 0.376201i | −0.953951 | − | 0.299963i | \(-0.903026\pi\) |
0.736751 | + | 0.676164i | \(0.236359\pi\) | |||||||
\(480\) | −88.9011 | + | 66.2947i | −4.05776 | + | 3.02592i | ||||
\(481\) | 14.8873 | + | 1.89923i | 0.678801 | + | 0.0865974i | ||||
\(482\) | − | 67.6216i | − | 3.08008i | ||||||
\(483\) | 32.2089 | + | 18.5958i | 1.46556 | + | 0.846139i | ||||
\(484\) | −2.36333 | − | 4.09341i | −0.107424 | − | 0.186064i | ||||
\(485\) | −1.34905 | + | 3.13433i | −0.0612574 | + | 0.142322i | ||||
\(486\) | −25.8345 | − | 44.7466i | −1.17188 | − | 2.02975i | ||||
\(487\) | − | 38.9846i | − | 1.76656i | −0.468844 | − | 0.883281i | \(-0.655329\pi\) | ||
0.468844 | − | 0.883281i | \(-0.344671\pi\) | |||||||
\(488\) | −91.5640 | + | 52.8645i | −4.14491 | + | 2.39306i | ||||
\(489\) | −16.7070 | −0.755516 | ||||||||
\(490\) | 20.3638 | − | 2.39665i | 0.919944 | − | 0.108270i | ||||
\(491\) | 30.6690 | 1.38407 | 0.692037 | − | 0.721862i | \(-0.256714\pi\) | ||||
0.692037 | + | 0.721862i | \(0.256714\pi\) | |||||||
\(492\) | 82.7554i | 3.73090i | ||||||||
\(493\) | 1.15944 | + | 0.669402i | 0.0522185 | + | 0.0301483i | ||||
\(494\) | 5.46564 | + | 9.46677i | 0.245911 | + | 0.425930i | ||||
\(495\) | −25.0724 | + | 18.6968i | −1.12692 | + | 0.840360i | ||||
\(496\) | −12.0818 | + | 20.9263i | −0.542490 | + | 0.939620i | ||||
\(497\) | −10.2790 | − | 5.93455i | −0.461074 | − | 0.266201i | ||||
\(498\) | 27.2604 | + | 15.7388i | 1.22157 | + | 0.705272i | ||||
\(499\) | −19.6793 | − | 34.0856i | −0.880968 | − | 1.52588i | −0.850266 | − | 0.526353i | \(-0.823559\pi\) |
−0.0307021 | − | 0.999529i | \(-0.509774\pi\) | |||||||
\(500\) | 37.8354 | − | 45.3102i | 1.69205 | − | 2.02633i | ||||
\(501\) | −18.2599 | + | 31.6272i | −0.815794 | + | 1.41300i | ||||
\(502\) | 44.9488 | + | 25.9512i | 2.00616 | + | 1.15826i | ||||
\(503\) | 10.5382 | + | 6.08422i | 0.469874 | + | 0.271282i | 0.716187 | − | 0.697908i | \(-0.245886\pi\) |
−0.246313 | + | 0.969190i | \(0.579219\pi\) | |||||||
\(504\) | 73.8937 | 3.29149 | ||||||||
\(505\) | −11.9012 | − | 5.12243i | −0.529597 | − | 0.227945i | ||||
\(506\) | 30.8947 | − | 53.5111i | 1.37344 | − | 2.37886i | ||||
\(507\) | − | 18.8042i | − | 0.835122i | ||||||
\(508\) | − | 84.0020i | − | 3.72699i | ||||||
\(509\) | 5.33298 | − | 9.23699i | 0.236380 | − | 0.409422i | −0.723293 | − | 0.690541i | \(-0.757372\pi\) |
0.959673 | + | 0.281119i | \(0.0907056\pi\) | |||||||
\(510\) | 53.5301 | + | 71.7839i | 2.37035 | + | 3.17864i | ||||
\(511\) | 0.270812 | + | 0.469060i | 0.0119800 | + | 0.0207500i | ||||
\(512\) | − | 7.09576i | − | 0.313591i | ||||||
\(513\) | 5.41639 | − | 3.12715i | 0.239139 | − | 0.138067i | ||||
\(514\) | 13.0914 | + | 22.6749i | 0.577436 | + | 1.00015i | ||||
\(515\) | 2.81484 | − | 6.53986i | 0.124036 | − | 0.288180i | ||||
\(516\) | −10.3328 | + | 17.8970i | −0.454877 | + | 0.787870i | ||||
\(517\) | − | 13.7614i | − | 0.605227i | ||||||
\(518\) | −24.7852 | − | 18.8609i | −1.08900 | − | 0.828701i | ||||
\(519\) | 26.3862 | 1.15822 | ||||||||
\(520\) | 5.70651 | + | 48.4870i | 0.250247 | + | 2.12629i | ||||
\(521\) | 17.9175 | + | 31.0341i | 0.784982 | + | 1.35963i | 0.929010 | + | 0.370055i | \(0.120661\pi\) |
−0.144028 | + | 0.989574i | \(0.546005\pi\) | |||||||
\(522\) | 2.52286 | − | 1.45657i | 0.110423 | − | 0.0637525i | ||||
\(523\) | 10.7979 | − | 6.23418i | 0.472160 | − | 0.272602i | −0.244984 | − | 0.969527i | \(-0.578783\pi\) |
0.717143 | + | 0.696926i | \(0.245449\pi\) | |||||||
\(524\) | −67.6668 | −2.95604 | ||||||||
\(525\) | −25.1069 | + | 5.99274i | −1.09575 | + | 0.261545i | ||||
\(526\) | 54.5357 | 2.37787 | ||||||||
\(527\) | 8.57386 | + | 4.95012i | 0.373483 | + | 0.215631i | ||||
\(528\) | − | 115.154i | − | 5.01143i | ||||||
\(529\) | −28.9017 | −1.25659 | ||||||||
\(530\) | 5.01587 | + | 42.6187i | 0.217875 | + | 1.85124i | ||||
\(531\) | −15.7442 | − | 27.2697i | −0.683238 | − | 1.18340i | ||||
\(532\) | − | 16.4529i | − | 0.713326i | ||||||
\(533\) | 12.3115 | + | 7.10803i | 0.533269 | + | 0.307883i | ||||
\(534\) | 6.49962 | − | 11.2577i | 0.281266 | − | 0.487167i | ||||
\(535\) | −19.3715 | + | 2.27987i | −0.837505 | + | 0.0985673i | ||||
\(536\) | −49.7605 | − | 86.1876i | −2.14932 | − | 3.72274i | ||||
\(537\) | −23.3969 | + | 13.5082i | −1.00965 | + | 0.582922i | ||||
\(538\) | −72.9982 | − | 42.1455i | −3.14717 | − | 1.81702i | ||||
\(539\) | −5.40176 | + | 9.35612i | −0.232670 | + | 0.402997i | ||||
\(540\) | 44.6584 | − | 5.25592i | 1.92179 | − | 0.226179i | ||||
\(541\) | 37.7324 | 1.62224 | 0.811121 | − | 0.584879i | \(-0.198858\pi\) | ||||
0.811121 | + | 0.584879i | \(0.198858\pi\) | |||||||
\(542\) | 3.29179 | − | 1.90051i | 0.141394 | − | 0.0816340i | ||||
\(543\) | 48.9823 | + | 28.2799i | 2.10203 | + | 1.21361i | ||||
\(544\) | −99.4715 | −4.26481 | ||||||||
\(545\) | 18.9781 | − | 14.1522i | 0.812931 | − | 0.606213i | ||||
\(546\) | 17.1832 | − | 29.7622i | 0.735373 | − | 1.27370i | ||||
\(547\) | − | 4.81641i | − | 0.205935i | −0.994685 | − | 0.102968i | \(-0.967166\pi\) | ||
0.994685 | − | 0.102968i | \(-0.0328338\pi\) | |||||||
\(548\) | −20.4516 | + | 11.8077i | −0.873648 | + | 0.504401i | ||||
\(549\) | 52.5718 | 2.24371 | ||||||||
\(550\) | 9.95621 | + | 41.7120i | 0.424534 | + | 1.77861i | ||||
\(551\) | −0.201465 | − | 0.348947i | −0.00858268 | − | 0.0148656i | ||||
\(552\) | −150.192 | + | 86.7137i | −6.39262 | + | 3.69078i | ||||
\(553\) | 4.48928 | + | 2.59189i | 0.190903 | + | 0.110218i | ||||
\(554\) | 57.9936 | 2.46391 | ||||||||
\(555\) | −31.8616 | − | 18.8112i | −1.35245 | − | 0.798493i | ||||
\(556\) | 51.7387 | 2.19421 | ||||||||
\(557\) | −6.76724 | − | 3.90707i | −0.286737 | − | 0.165548i | 0.349732 | − | 0.936850i | \(-0.386273\pi\) |
−0.636470 | + | 0.771302i | \(0.719606\pi\) | |||||||
\(558\) | 18.6562 | − | 10.7711i | 0.789778 | − | 0.455978i | ||||
\(559\) | 1.77501 | + | 3.07441i | 0.0750750 | + | 0.130034i | ||||
\(560\) | 22.3406 | − | 51.9051i | 0.944063 | − | 2.19339i | ||||
\(561\) | −47.1805 | −1.99196 | ||||||||
\(562\) | −58.3639 | + | 33.6964i | −2.46193 | + | 1.42140i | ||||
\(563\) | − | 31.8164i | − | 1.34090i | −0.741955 | − | 0.670450i | \(-0.766101\pi\) | ||
0.741955 | − | 0.670450i | \(-0.233899\pi\) | |||||||
\(564\) | −31.0891 | + | 53.8479i | −1.30909 | + | 2.26740i | ||||
\(565\) | −21.4553 | − | 28.7716i | −0.902632 | − | 1.21043i | ||||
\(566\) | −71.6540 | −3.01184 | ||||||||
\(567\) | 4.66626 | + | 2.69407i | 0.195965 | + | 0.113140i | ||||
\(568\) | 47.9315 | − | 27.6733i | 2.01116 | − | 1.16114i | ||||
\(569\) | 7.40305 | 0.310352 | 0.155176 | − | 0.987887i | \(-0.450406\pi\) | ||||
0.155176 | + | 0.987887i | \(0.450406\pi\) | |||||||
\(570\) | −3.15003 | − | 26.7651i | −0.131940 | − | 1.12107i | ||||
\(571\) | 14.0793 | − | 24.3860i | 0.589199 | − | 1.02052i | −0.405139 | − | 0.914255i | \(-0.632777\pi\) |
0.994338 | − | 0.106267i | \(-0.0338898\pi\) | |||||||
\(572\) | −35.8617 | − | 20.7048i | −1.49945 | − | 0.865710i | ||||
\(573\) | 9.60255 | − | 5.54404i | 0.401152 | − | 0.231605i | ||||
\(574\) | −14.7511 | − | 25.5496i | −0.615698 | − | 1.06642i | ||||
\(575\) | 26.1616 | − | 24.7611i | 1.09101 | − | 1.03261i | ||||
\(576\) | −49.6266 | + | 85.9558i | −2.06777 | + | 3.58149i | ||||
\(577\) | −8.29527 | − | 4.78928i | −0.345337 | − | 0.199380i | 0.317293 | − | 0.948328i | \(-0.397226\pi\) |
−0.662629 | + | 0.748947i | \(0.730560\pi\) | |||||||
\(578\) | 34.4512i | 1.43298i | ||||||||
\(579\) | −4.05787 | − | 7.02844i | −0.168639 | − | 0.292092i | ||||
\(580\) | −0.338609 | − | 2.87709i | −0.0140600 | − | 0.119464i | ||||
\(581\) | −8.13873 | −0.337652 | ||||||||
\(582\) | 11.2007i | 0.464283i | ||||||||
\(583\) | −19.5811 | − | 11.3051i | −0.810965 | − | 0.468211i | ||||
\(584\) | −2.52563 | −0.104511 | ||||||||
\(585\) | 9.59731 | − | 22.2979i | 0.396800 | − | 0.921906i | ||||
\(586\) | −6.47313 | −0.267403 | ||||||||
\(587\) | −0.831902 | + | 0.480299i | −0.0343363 | + | 0.0198241i | −0.517070 | − | 0.855943i | \(-0.672977\pi\) |
0.482734 | + | 0.875767i | \(0.339644\pi\) | |||||||
\(588\) | 42.2737 | − | 24.4067i | 1.74334 | − | 1.00652i | ||||
\(589\) | −1.48980 | − | 2.58041i | −0.0613861 | − | 0.106324i | ||||
\(590\) | −42.8787 | + | 5.04646i | −1.76529 | + | 0.207760i | ||||
\(591\) | 36.1020 | 1.48504 | ||||||||
\(592\) | 74.7114 | − | 31.2982i | 3.07062 | − | 1.28635i | ||||
\(593\) | 40.1911i | 1.65045i | 0.564805 | + | 0.825224i | \(0.308951\pi\) | ||||
−0.564805 | + | 0.825224i | \(0.691049\pi\) | |||||||
\(594\) | −16.3336 | + | 28.2905i | −0.670174 | + | 1.16077i | ||||
\(595\) | −21.2664 | − | 9.15331i | −0.871836 | − | 0.375249i | ||||
\(596\) | −58.2689 | − | 100.925i | −2.38679 | − | 4.13404i | ||||
\(597\) | 29.5481 | − | 17.0596i | 1.20932 | − | 0.698203i | ||||
\(598\) | 47.9590i | 1.96119i | ||||||||
\(599\) | 1.67395 | + | 2.89936i | 0.0683957 | + | 0.118465i | 0.898195 | − | 0.439597i | \(-0.144879\pi\) |
−0.829800 | + | 0.558062i | \(0.811545\pi\) | |||||||
\(600\) | 34.3369 | − | 115.362i | 1.40180 | − | 4.70965i | ||||
\(601\) | 6.17469 | − | 10.6949i | 0.251871 | − | 0.436253i | −0.712170 | − | 0.702007i | \(-0.752288\pi\) |
0.964041 | + | 0.265754i | \(0.0856209\pi\) | |||||||
\(602\) | − | 7.36726i | − | 0.300267i | ||||||
\(603\) | 49.4849i | 2.01518i | ||||||||
\(604\) | 7.97657 | − | 13.8158i | 0.324562 | − | 0.562158i | ||||
\(605\) | 1.83872 | + | 0.791409i | 0.0747547 | + | 0.0321754i | ||||
\(606\) | −42.5296 | −1.72765 | ||||||||
\(607\) | 9.92311 | + | 5.72911i | 0.402767 | + | 0.232537i | 0.687677 | − | 0.726017i | \(-0.258631\pi\) |
−0.284910 | + | 0.958554i | \(0.591964\pi\) | |||||||
\(608\) | 25.9264 | + | 14.9686i | 1.05145 | + | 0.607056i | ||||
\(609\) | −0.633376 | + | 1.09704i | −0.0256657 | + | 0.0444543i | ||||
\(610\) | 28.4978 | − | 66.2104i | 1.15384 | − | 2.68078i | ||||
\(611\) | 5.34061 | + | 9.25021i | 0.216058 | + | 0.374223i | ||||
\(612\) | 109.772 | + | 63.3771i | 4.43728 | + | 2.56187i | ||||
\(613\) | 23.7605 | + | 13.7181i | 0.959677 | + | 0.554069i | 0.896073 | − | 0.443906i | \(-0.146408\pi\) |
0.0636031 | + | 0.997975i | \(0.479741\pi\) | |||||||
\(614\) | −8.25677 | + | 14.3012i | −0.333216 | + | 0.577148i | ||||
\(615\) | −20.9516 | − | 28.0961i | −0.844852 | − | 1.13295i | ||||
\(616\) | 26.6916 | + | 46.2312i | 1.07544 | + | 1.86271i | ||||
\(617\) | −28.9350 | − | 16.7056i | −1.16488 | − | 0.672544i | −0.212411 | − | 0.977180i | \(-0.568132\pi\) |
−0.952469 | + | 0.304637i | \(0.901465\pi\) | |||||||
\(618\) | − | 23.3705i | − | 0.940100i | ||||||
\(619\) | −33.5576 | −1.34879 | −0.674397 | − | 0.738369i | \(-0.735596\pi\) | ||||
−0.674397 | + | 0.738369i | \(0.735596\pi\) | |||||||
\(620\) | −2.50396 | − | 21.2756i | −0.100561 | − | 0.854448i | ||||
\(621\) | 27.4396 | 1.10111 | ||||||||
\(622\) | −0.610457 | + | 0.352447i | −0.0244771 | + | 0.0141318i | ||||
\(623\) | 3.36104i | 0.134657i | ||||||||
\(624\) | 44.6896 | + | 77.4046i | 1.78901 | + | 3.09866i | ||||
\(625\) | −1.37401 | + | 24.9622i | −0.0549603 | + | 0.998489i | ||||
\(626\) | −4.83751 | − | 8.37882i | −0.193346 | − | 0.334885i | ||||
\(627\) | 12.2972 | + | 7.09977i | 0.491101 | + | 0.283537i | ||||
\(628\) | 107.528i | 4.29083i | ||||||||
\(629\) | −12.8234 | − | 30.6105i | −0.511301 | − | 1.22052i | ||||
\(630\) | −40.3857 | + | 30.1161i | −1.60901 | + | 1.19986i | ||||
\(631\) | −21.7965 | + | 37.7527i | −0.867706 | + | 1.50291i | −0.00337145 | + | 0.999994i | \(0.501073\pi\) |
−0.864335 | + | 0.502917i | \(0.832260\pi\) | |||||||
\(632\) | −20.9338 | + | 12.0862i | −0.832703 | + | 0.480761i | ||||
\(633\) | −35.4761 | + | 20.4821i | −1.41005 | + | 0.814092i | ||||
\(634\) | 10.3707 | + | 17.9626i | 0.411873 | + | 0.713384i | ||||
\(635\) | 21.2673 | + | 28.5194i | 0.843966 | + | 1.13176i | ||||
\(636\) | 51.0799 | + | 88.4729i | 2.02545 | + | 3.50818i | ||||
\(637\) | − | 8.38537i | − | 0.332240i | ||||||
\(638\) | 1.82260 | + | 1.05228i | 0.0721573 | + | 0.0416601i | ||||
\(639\) | −27.5200 | −1.08868 | ||||||||
\(640\) | 32.6135 | + | 43.7347i | 1.28916 | + | 1.72877i | ||||
\(641\) | −10.1952 | + | 17.6587i | −0.402688 | + | 0.697475i | −0.994049 | − | 0.108931i | \(-0.965257\pi\) |
0.591362 | + | 0.806406i | \(0.298591\pi\) | |||||||
\(642\) | −55.4468 | + | 32.0122i | −2.18831 | + | 1.26342i | ||||
\(643\) | 29.7053i | 1.17146i | 0.810506 | + | 0.585731i | \(0.199192\pi\) | ||||
−0.810506 | + | 0.585731i | \(0.800808\pi\) | |||||||
\(644\) | 36.0922 | − | 62.5135i | 1.42223 | − | 2.46338i | ||||
\(645\) | −1.02300 | − | 8.69218i | −0.0402805 | − | 0.342254i | ||||
\(646\) | 12.0865 | − | 20.9344i | 0.475537 | − | 0.823654i | ||||
\(647\) | −35.9918 | + | 20.7799i | −1.41498 | + | 0.816941i | −0.995852 | − | 0.0909847i | \(-0.970999\pi\) |
−0.419131 | + | 0.907926i | \(0.637665\pi\) | |||||||
\(648\) | −21.7591 | + | 12.5626i | −0.854779 | + | 0.493507i | ||||
\(649\) | 11.3741 | − | 19.7005i | 0.446473 | − | 0.773313i | ||||
\(650\) | −22.8802 | − | 24.1742i | −0.897435 | − | 0.948192i | ||||
\(651\) | −4.68372 | + | 8.11244i | −0.183569 | + | 0.317951i | ||||
\(652\) | 32.4262i | 1.26991i | ||||||||
\(653\) | 30.8796 | − | 17.8283i | 1.20841 | − | 0.697676i | 0.245999 | − | 0.969270i | \(-0.420884\pi\) |
0.962412 | + | 0.271594i | \(0.0875507\pi\) | |||||||
\(654\) | 38.8538 | − | 67.2967i | 1.51930 | − | 2.63151i | ||||
\(655\) | 22.9735 | − | 17.1316i | 0.897647 | − | 0.669387i | ||||
\(656\) | 76.7282 | 2.99573 | ||||||||
\(657\) | 1.08757 | + | 0.627912i | 0.0424303 | + | 0.0244972i | ||||
\(658\) | − | 22.1664i | − | 0.864136i | ||||||
\(659\) | 13.5803 | + | 23.5218i | 0.529013 | + | 0.916278i | 0.999428 | + | 0.0338319i | \(0.0107711\pi\) |
−0.470414 | + | 0.882446i | \(0.655896\pi\) | |||||||
\(660\) | 61.0295 | + | 81.8405i | 2.37557 | + | 3.18564i | ||||
\(661\) | 4.53639 | + | 7.85726i | 0.176445 | + | 0.305612i | 0.940660 | − | 0.339349i | \(-0.110207\pi\) |
−0.764215 | + | 0.644961i | \(0.776873\pi\) | |||||||
\(662\) | −16.7708 | + | 9.68262i | −0.651815 | + | 0.376326i | ||||
\(663\) | 31.7139 | − | 18.3100i | 1.23167 | − | 0.711103i | ||||
\(664\) | 18.9758 | − | 32.8670i | 0.736402 | − | 1.27549i | ||||
\(665\) | 4.16549 | + | 5.58591i | 0.161531 | + | 0.216612i | ||||
\(666\) | −71.6342 | − | 9.13865i | −2.77577 | − | 0.354116i | ||||
\(667\) | − | 1.76778i | − | 0.0684487i | ||||||
\(668\) | 61.3844 | + | 35.4403i | 2.37503 | + | 1.37123i | ||||
\(669\) | −21.9678 | − | 38.0493i | −0.849324 | − | 1.47107i | ||||
\(670\) | 62.3227 | + | 26.8245i | 2.40774 | + | 1.03632i | ||||
\(671\) | 18.9898 | + | 32.8913i | 0.733093 | + | 1.26975i | ||||
\(672\) | − | 94.1182i | − | 3.63069i | ||||||
\(673\) | 26.4855 | − | 15.2914i | 1.02094 | − | 0.589441i | 0.106565 | − | 0.994306i | \(-0.466015\pi\) |
0.914377 | + | 0.404864i | \(0.132681\pi\) | |||||||
\(674\) | −33.8930 | −1.30551 | ||||||||
\(675\) | −13.8312 | + | 13.0908i | −0.532364 | + | 0.503867i | ||||
\(676\) | −36.4965 | −1.40371 | ||||||||
\(677\) | − | 35.1692i | − | 1.35166i | −0.737057 | − | 0.675831i | \(-0.763785\pi\) | ||
0.737057 | − | 0.675831i | \(-0.236215\pi\) | |||||||
\(678\) | −102.025 | − | 58.9040i | −3.91824 | − | 2.26219i | ||||
\(679\) | −1.44800 | − | 2.50802i | −0.0555693 | − | 0.0962489i | ||||
\(680\) | 86.5475 | − | 64.5396i | 3.31895 | − | 2.47498i | ||||
\(681\) | −10.3134 | + | 17.8634i | −0.395212 | + | 0.684527i | ||||
\(682\) | 13.4778 | + | 7.78142i | 0.516093 | + | 0.297966i | ||||
\(683\) | −7.59412 | − | 4.38447i | −0.290581 | − | 0.167767i | 0.347623 | − | 0.937634i | \(-0.386989\pi\) |
−0.638204 | + | 0.769867i | \(0.720322\pi\) | |||||||
\(684\) | −19.0741 | − | 33.0373i | −0.729317 | − | 1.26321i | ||||
\(685\) | 3.95405 | − | 9.18666i | 0.151077 | − | 0.351004i | ||||
\(686\) | −26.6220 | + | 46.1106i | −1.01643 | + | 1.76051i | ||||
\(687\) | −18.6769 | − | 10.7831i | −0.712567 | − | 0.411401i | ||||
\(688\) | 16.5935 | + | 9.58027i | 0.632622 | + | 0.365244i | ||||
\(689\) | 17.5494 | 0.668580 | ||||||||
\(690\) | 46.7449 | − | 108.605i | 1.77955 | − | 4.13452i | ||||
\(691\) | −20.7600 | + | 35.9574i | −0.789748 | + | 1.36788i | 0.136373 | + | 0.990658i | \(0.456455\pi\) |
−0.926121 | + | 0.377226i | \(0.876878\pi\) | |||||||
\(692\) | − | 51.2123i | − | 1.94680i | ||||||
\(693\) | − | 26.5438i | − | 1.00832i | ||||||
\(694\) | −40.8697 | + | 70.7883i | −1.55139 | + | 2.68709i | ||||
\(695\) | −17.5657 | + | 13.0990i | −0.666305 | + | 0.496872i | ||||
\(696\) | −2.95348 | − | 5.11558i | −0.111951 | − | 0.193906i | ||||
\(697\) | − | 31.4368i | − | 1.19075i | ||||||
\(698\) | −8.34844 | + | 4.81997i | −0.315993 | + | 0.182439i | ||||
\(699\) | 14.5992 | + | 25.2866i | 0.552193 | + | 0.956426i | ||||
\(700\) | 11.6312 | + | 48.7293i | 0.439617 | + | 1.84180i | ||||
\(701\) | 16.6115 | − | 28.7720i | 0.627407 | − | 1.08670i | −0.360663 | − | 0.932696i | \(-0.617449\pi\) |
0.988070 | − | 0.154005i | \(-0.0492173\pi\) | |||||||
\(702\) | − | 25.3552i | − | 0.956972i | ||||||
\(703\) | −1.26400 | + | 9.90802i | −0.0476728 | + | 0.373688i | ||||
\(704\) | −71.7038 | −2.70244 | ||||||||
\(705\) | −3.07797 | − | 26.1528i | −0.115923 | − | 0.984971i | ||||
\(706\) | 2.08509 | + | 3.61149i | 0.0784736 | + | 0.135920i | ||||
\(707\) | 9.52308 | − | 5.49815i | 0.358152 | − | 0.206779i | ||||
\(708\) | −89.0126 | + | 51.3915i | −3.34530 | + | 1.93141i | ||||
\(709\) | 17.6961 | 0.664591 | 0.332296 | − | 0.943175i | \(-0.392177\pi\) | ||||
0.332296 | + | 0.943175i | \(0.392177\pi\) | |||||||
\(710\) | −14.9179 | + | 34.6595i | −0.559858 | + | 1.30075i | ||||
\(711\) | 12.0192 | 0.450756 | ||||||||
\(712\) | −13.5730 | − | 7.83639i | −0.508670 | − | 0.293681i | ||||
\(713\) | − | 13.0725i | − | 0.489567i | ||||||
\(714\) | −75.9965 | −2.84410 | ||||||||
\(715\) | 17.4173 | − | 2.04987i | 0.651370 | − | 0.0766608i | ||||
\(716\) | 26.2177 | + | 45.4104i | 0.979803 | + | 1.69707i | ||||
\(717\) | 49.0556i | 1.83202i | ||||||||
\(718\) | −54.6282 | − | 31.5396i | −2.03871 | − | 1.17705i | ||||
\(719\) | −1.20379 | + | 2.08503i | −0.0448939 | + | 0.0777585i | −0.887599 | − | 0.460617i | \(-0.847628\pi\) |
0.842705 | + | 0.538375i | \(0.180962\pi\) | |||||||
\(720\) | −15.3146 | − | 130.125i | −0.570741 | − | 4.84946i | ||||
\(721\) | 3.02130 | + | 5.23304i | 0.112519 | + | 0.194889i | ||||
\(722\) | 38.0955 | − | 21.9945i | 1.41777 | − | 0.818549i | ||||
\(723\) | 59.0440 | + | 34.0891i | 2.19587 | + | 1.26779i | ||||
\(724\) | 54.8878 | − | 95.0685i | 2.03989 | − | 3.53319i | ||||
\(725\) | 0.843369 | + | 0.891067i | 0.0313219 | + | 0.0330934i | ||||
\(726\) | 6.57077 | 0.243864 | ||||||||
\(727\) | 12.5888 | − | 7.26815i | 0.466893 | − | 0.269561i | −0.248045 | − | 0.968748i | \(-0.579788\pi\) |
0.714938 | + | 0.699188i | \(0.246455\pi\) | |||||||
\(728\) | −35.8833 | − | 20.7172i | −1.32992 | − | 0.767832i | ||||
\(729\) | 43.5765 | 1.61394 | ||||||||
\(730\) | 1.38036 | − | 1.02935i | 0.0510892 | − | 0.0380979i | ||||
\(731\) | 3.92519 | − | 6.79863i | 0.145178 | − | 0.251456i | ||||
\(732\) | − | 171.603i | − | 6.34262i | ||||||
\(733\) | 13.7211 | − | 7.92186i | 0.506799 | − | 0.292600i | −0.224718 | − | 0.974424i | \(-0.572146\pi\) |
0.731517 | + | 0.681823i | \(0.238813\pi\) | |||||||
\(734\) | −9.36211 | −0.345562 | ||||||||
\(735\) | −8.17308 | + | 18.9889i | −0.301468 | + | 0.700418i | ||||
\(736\) | 65.6720 | + | 113.747i | 2.42070 | + | 4.19278i | ||||
\(737\) | −30.9600 | + | 17.8748i | −1.14043 | + | 0.658425i | ||||
\(738\) | −59.2400 | − | 34.2022i | −2.18065 | − | 1.25900i | ||||
\(739\) | −11.6948 | −0.430200 | −0.215100 | − | 0.976592i | \(-0.569008\pi\) | ||||
−0.215100 | + | 0.976592i | \(0.569008\pi\) | |||||||
\(740\) | −36.5103 | + | 61.8394i | −1.34215 | + | 2.27326i | ||||
\(741\) | −11.0213 | −0.404876 | ||||||||
\(742\) | −31.5404 | − | 18.2099i | −1.15789 | − | 0.668506i | ||||
\(743\) | 16.5294 | − | 9.54324i | 0.606404 | − | 0.350108i | −0.165153 | − | 0.986268i | \(-0.552812\pi\) |
0.771557 | + | 0.636160i | \(0.219478\pi\) | |||||||
\(744\) | −21.8405 | − | 37.8289i | −0.800712 | − | 1.38687i | ||||
\(745\) | 45.3345 | + | 19.5125i | 1.66093 | + | 0.714884i | ||||
\(746\) | −65.2815 | −2.39013 | ||||||||
\(747\) | −16.3425 | + | 9.43534i | −0.597940 | + | 0.345221i | ||||
\(748\) | 91.5714i | 3.34818i | ||||||||
\(749\) | 8.27697 | − | 14.3361i | 0.302434 | − | 0.523831i | ||||
\(750\) | 28.2507 | + | 77.0443i | 1.03157 | + | 2.81326i | ||||
\(751\) | 45.2934 | 1.65278 | 0.826391 | − | 0.563097i | \(-0.190390\pi\) | ||||
0.826391 | + | 0.563097i | \(0.190390\pi\) | |||||||
\(752\) | 49.9261 | + | 28.8248i | 1.82062 | + | 1.05113i | ||||
\(753\) | −45.3187 | + | 26.1648i | −1.65151 | + | 0.953498i | ||||
\(754\) | −1.63349 | −0.0594883 | ||||||||
\(755\) | 0.789718 | + | 6.71006i | 0.0287408 | + | 0.244204i | ||||
\(756\) | −19.0814 | + | 33.0499i | −0.693983 | + | 1.20201i | ||||
\(757\) | 31.7454 | + | 18.3282i | 1.15381 | + | 0.666150i | 0.949812 | − | 0.312822i | \(-0.101274\pi\) |
0.203994 | + | 0.978972i | \(0.434608\pi\) | |||||||
\(758\) | −35.6224 | + | 20.5666i | −1.29386 | + | 0.747013i | ||||
\(759\) | 31.1490 | + | 53.9516i | 1.13064 | + | 1.95832i | ||||
\(760\) | −32.2698 | + | 3.79789i | −1.17055 | + | 0.137764i | ||||
\(761\) | −15.4925 | + | 26.8337i | −0.561601 | + | 0.972721i | 0.435756 | + | 0.900065i | \(0.356481\pi\) |
−0.997357 | + | 0.0726566i | \(0.976852\pi\) | |||||||
\(762\) | 101.131 | + | 58.3877i | 3.66357 | + | 2.11516i | ||||
\(763\) | 20.0918i | 0.727371i | ||||||||
\(764\) | −10.7603 | − | 18.6374i | −0.389294 | − | 0.674276i | ||||
\(765\) | −53.3142 | + | 6.27463i | −1.92758 | + | 0.226860i | ||||
\(766\) | −48.7232 | −1.76044 | ||||||||
\(767\) | 17.6565i | 0.637538i | ||||||||
\(768\) | 48.8024 | + | 28.1761i | 1.76101 | + | 1.01672i | ||||
\(769\) | 25.9689 | 0.936462 | 0.468231 | − | 0.883606i | \(-0.344892\pi\) | ||||
0.468231 | + | 0.883606i | \(0.344892\pi\) | |||||||
\(770\) | −33.4300 | − | 14.3887i | −1.20473 | − | 0.518533i | ||||
\(771\) | −26.3982 | −0.950710 | ||||||||
\(772\) | −13.6413 | + | 7.87582i | −0.490962 | + | 0.283457i | ||||
\(773\) | 1.43536 | − | 0.828704i | 0.0516262 | − | 0.0298064i | −0.473965 | − | 0.880544i | \(-0.657178\pi\) |
0.525591 | + | 0.850737i | \(0.323844\pi\) | |||||||
\(774\) | −8.54096 | − | 14.7934i | −0.306998 | − | 0.531737i | ||||
\(775\) | 6.23658 | + | 6.58930i | 0.224024 | + | 0.236695i | ||||
\(776\) | 13.5043 | 0.484776 | ||||||||
\(777\) | 28.9631 | − | 12.1332i | 1.03905 | − | 0.435278i | ||||
\(778\) | 29.3009i | 1.05049i | ||||||||
\(779\) | −4.73065 | + | 8.19372i | −0.169493 | + | 0.293570i | ||||
\(780\) | −72.7841 | − | 31.3272i | −2.60609 | − | 1.12169i | ||||
\(781\) | −9.94069 | − | 17.2178i | −0.355706 | − | 0.616101i | ||||
\(782\) | 91.8461 | − | 53.0273i | 3.28441 | − | 1.89625i | ||||
\(783\) | 0.934599i | 0.0333998i | ||||||||
\(784\) | −22.6292 | − | 39.1948i | −0.808184 | − | 1.39982i | ||||
\(785\) | −27.2235 | − | 36.5067i | −0.971647 | − | 1.30298i | ||||
\(786\) | 47.0335 | − | 81.4645i | 1.67763 | − | 2.90574i | ||||
\(787\) | − | 11.1226i | − | 0.396476i | −0.980154 | − | 0.198238i | \(-0.936478\pi\) | ||
0.980154 | − | 0.198238i | \(-0.0635219\pi\) | |||||||
\(788\) | − | 70.0696i | − | 2.49613i | ||||||
\(789\) | −27.4923 | + | 47.6180i | −0.978751 | + | 1.69525i | ||||
\(790\) | 6.51530 | − | 15.1374i | 0.231804 | − | 0.538563i | ||||
\(791\) | 30.4600 | 1.08303 | ||||||||
\(792\) | 107.193 | + | 61.8879i | 3.80894 | + | 2.19909i | ||||
\(793\) | −25.5292 | − | 14.7393i | −0.906570 | − | 0.523408i | ||||
\(794\) | −45.7163 | + | 79.1830i | −1.62241 | + | 2.81010i | ||||
\(795\) | −39.7412 | − | 17.1051i | −1.40948 | − | 0.606656i | ||||
\(796\) | −33.1106 | − | 57.3492i | −1.17357 | − | 2.03269i | ||||
\(797\) | −5.92896 | − | 3.42309i | −0.210015 | − | 0.121252i | 0.391304 | − | 0.920262i | \(-0.372024\pi\) |
−0.601318 | + | 0.799010i | \(0.705358\pi\) | |||||||
\(798\) | 19.8078 | + | 11.4360i | 0.701189 | + | 0.404831i | ||||
\(799\) | 11.8100 | − | 20.4555i | 0.417808 | − | 0.723665i | ||||
\(800\) | −87.3689 | − | 26.0048i | −3.08896 | − | 0.919408i | ||||
\(801\) | 3.89650 | + | 6.74893i | 0.137676 | + | 0.238462i | ||||
\(802\) | −59.1020 | − | 34.1225i | −2.08696 | − | 1.20491i | ||||
\(803\) | 0.907248i | 0.0320161i | ||||||||
\(804\) | 161.527 | 5.69661 | ||||||||
\(805\) | 3.57330 | + | 30.3615i | 0.125942 | + | 1.07010i | ||||
\(806\) | −12.0794 | −0.425479 | ||||||||
\(807\) | 73.5990 | − | 42.4924i | 2.59081 | − | 1.49580i | ||||
\(808\) | 51.2766i | 1.80390i | ||||||||
\(809\) | 9.43551 | + | 16.3428i | 0.331735 | + | 0.574582i | 0.982852 | − | 0.184395i | \(-0.0590327\pi\) |
−0.651117 | + | 0.758977i | \(0.725699\pi\) | |||||||
\(810\) | 6.77216 | − | 15.7341i | 0.237950 | − | 0.552841i | ||||
\(811\) | −22.1800 | − | 38.4169i | −0.778846 | − | 1.34900i | −0.932607 | − | 0.360893i | \(-0.882472\pi\) |
0.153761 | − | 0.988108i | \(-0.450861\pi\) | |||||||
\(812\) | 2.12922 | + | 1.22931i | 0.0747209 | + | 0.0431402i | ||||
\(813\) | 3.83231i | 0.134405i | ||||||||
\(814\) | −20.1579 | − | 48.1186i | −0.706534 | − | 1.68656i | ||||
\(815\) | −8.20952 | − | 11.0090i | −0.287567 | − | 0.385627i | ||||
\(816\) | 98.8247 | − | 171.169i | 3.45956 | − | 5.99213i | ||||
\(817\) | −2.04613 | + | 1.18133i | −0.0715851 | + | 0.0413297i | ||||
\(818\) | −27.3294 | + | 15.7786i | −0.955550 | + | 0.551687i | ||||
\(819\) | 10.3013 | + | 17.8423i | 0.359955 | + | 0.623461i | ||||
\(820\) | −54.5311 | + | 40.6645i | −1.90431 | + | 1.42007i | ||||
\(821\) | −12.4938 | − | 21.6399i | −0.436037 | − | 0.755238i | 0.561343 | − | 0.827583i | \(-0.310285\pi\) |
−0.997380 | + | 0.0723452i | \(0.976952\pi\) | |||||||
\(822\) | − | 32.8290i | − | 1.14504i | ||||||
\(823\) | 0.460733 | + | 0.266004i | 0.0160602 | + | 0.00927233i | 0.508009 | − | 0.861352i | \(-0.330382\pi\) |
−0.491948 | + | 0.870624i | \(0.663715\pi\) | |||||||
\(824\) | −28.1771 | −0.981595 | ||||||||
\(825\) | −41.4400 | − | 12.3344i | −1.44276 | − | 0.429427i | ||||
\(826\) | 18.3210 | − | 31.7329i | 0.637468 | − | 1.10413i | ||||
\(827\) | −22.6779 | + | 13.0931i | −0.788588 | + | 0.455292i | −0.839465 | − | 0.543413i | \(-0.817132\pi\) |
0.0508769 | + | 0.998705i | \(0.483798\pi\) | |||||||
\(828\) | − | 167.368i | − | 5.81646i | ||||||
\(829\) | 14.5405 | − | 25.1849i | 0.505012 | − | 0.874707i | −0.494971 | − | 0.868910i | \(-0.664821\pi\) |
0.999983 | − | 0.00579756i | \(-0.00184543\pi\) | |||||||
\(830\) | 3.02430 | + | 25.6968i | 0.104975 | + | 0.891950i | ||||
\(831\) | −29.2354 | + | 50.6373i | −1.01417 | + | 1.75659i | ||||
\(832\) | 48.1981 | − | 27.8272i | 1.67097 | − | 0.964734i | ||||
\(833\) | −16.0588 | + | 9.27153i | −0.556403 | + | 0.321239i | ||||
\(834\) | −35.9623 | + | 62.2885i | −1.24527 | + | 2.15687i | ||||
\(835\) | −29.8131 | + | 3.50876i | −1.03173 | + | 0.121426i | ||||
\(836\) | 13.7798 | − | 23.8673i | 0.476583 | − | 0.825467i | ||||
\(837\) | 6.91121i | 0.238886i | ||||||||
\(838\) | 83.7650 | − | 48.3618i | 2.89361 | − | 1.67063i | ||||
\(839\) | −23.6373 | + | 40.9411i | −0.816052 | + | 1.41344i | 0.0925189 | + | 0.995711i | \(0.470508\pi\) |
−0.908570 | + | 0.417732i | \(0.862825\pi\) | |||||||
\(840\) | 61.0662 | + | 81.8898i | 2.10698 | + | 2.82547i | ||||
\(841\) | −28.9398 | −0.997924 | ||||||||
\(842\) | 38.9379 | + | 22.4808i | 1.34189 | + | 0.774741i | ||||
\(843\) | − | 67.9476i | − | 2.34024i | ||||||
\(844\) | 39.7533 | + | 68.8547i | 1.36836 | + | 2.37008i | ||||
\(845\) | 12.3909 | − | 9.24003i | 0.426259 | − | 0.317867i | ||||
\(846\) | −25.6978 | − | 44.5099i | −0.883508 | − | 1.53028i | ||||
\(847\) | −1.47130 | + | 0.849458i | −0.0505546 | + | 0.0291877i | ||||
\(848\) | 82.0294 | − | 47.3597i | 2.81690 | − | 1.62634i | ||||
\(849\) | 36.1219 | − | 62.5649i | 1.23970 | − | 2.14722i | ||||
\(850\) | −20.9978 | + | 70.5467i | −0.720217 | + | 2.41973i | ||||
\(851\) | −26.5374 | + | 34.8730i | −0.909692 | + | 1.19543i | ||||
\(852\) | 89.8298i | 3.07752i | ||||||||
\(853\) | −37.5932 | − | 21.7044i | −1.28717 | − | 0.743145i | −0.309018 | − | 0.951056i | \(-0.600000\pi\) |
−0.978148 | + | 0.207911i | \(0.933334\pi\) | |||||||
\(854\) | 30.5880 | + | 52.9800i | 1.04670 | + | 1.81294i | ||||
\(855\) | 14.8401 | + | 6.38735i | 0.507520 | + | 0.218443i | ||||
\(856\) | 38.5961 | + | 66.8504i | 1.31919 | + | 2.28490i | ||||
\(857\) | 50.1099i | 1.71172i | 0.517206 | + | 0.855861i | \(0.326972\pi\) | ||||
−0.517206 | + | 0.855861i | \(0.673028\pi\) | |||||||
\(858\) | 49.8532 | − | 28.7828i | 1.70196 | − | 0.982628i | ||||
\(859\) | 13.8176 | 0.471452 | 0.235726 | − | 0.971820i | \(-0.424253\pi\) | ||||
0.235726 | + | 0.971820i | \(0.424253\pi\) | |||||||
\(860\) | −16.8705 | + | 1.98551i | −0.575278 | + | 0.0677054i | ||||
\(861\) | 29.7450 | 1.01371 | ||||||||
\(862\) | 58.4514i | 1.99086i | ||||||||
\(863\) | −9.44790 | − | 5.45475i | −0.321610 | − | 0.185682i | 0.330500 | − | 0.943806i | \(-0.392783\pi\) |
−0.652110 | + | 0.758124i | \(0.726116\pi\) | |||||||
\(864\) | −34.7198 | − | 60.1364i | −1.18119 | − | 2.04588i | ||||
\(865\) | 12.9657 | + | 17.3870i | 0.440847 | + | 0.591176i | ||||
\(866\) | −11.1922 | + | 19.3854i | −0.380325 | + | 0.658742i | ||||
\(867\) | −30.0812 | − | 17.3674i | −1.02161 | − | 0.589827i | ||||
\(868\) | 15.7452 | + | 9.09052i | 0.534428 | + | 0.308552i | ||||
\(869\) | 4.34154 | + | 7.51977i | 0.147277 | + | 0.255091i | ||||
\(870\) | 3.69910 | + | 1.59214i | 0.125411 | + | 0.0539785i | ||||
\(871\) | 13.8739 | − | 24.0302i | 0.470098 | − | 0.814233i | ||||
\(872\) | −81.1375 | − | 46.8447i | −2.74766 | − | 1.58636i | ||||
\(873\) | −5.81515 | − | 3.35738i | −0.196813 | − | 0.113630i | ||||
\(874\) | −31.9185 | −1.07966 | ||||||||
\(875\) | −16.2860 | − | 13.5993i | −0.550566 | − | 0.459740i | ||||
\(876\) | 2.04961 | − | 3.55002i | 0.0692497 | − | 0.119944i | ||||
\(877\) | 14.1396i | 0.477462i | 0.971086 | + | 0.238731i | \(0.0767314\pi\) | ||||
−0.971086 | + | 0.238731i | \(0.923269\pi\) | |||||||
\(878\) | − | 5.07862i | − | 0.171395i | ||||||
\(879\) | 3.26321 | − | 5.65204i | 0.110065 | − | 0.190639i | ||||
\(880\) | 75.8800 | − | 56.5847i | 2.55791 | − | 1.90747i | ||||
\(881\) | −12.5317 | − | 21.7055i | −0.422203 | − | 0.731277i | 0.573952 | − | 0.818889i | \(-0.305410\pi\) |
−0.996155 | + | 0.0876121i | \(0.972076\pi\) | |||||||
\(882\) | 40.3485i | 1.35860i | ||||||||
\(883\) | 11.1184 | − | 6.41921i | 0.374164 | − | 0.216024i | −0.301112 | − | 0.953589i | \(-0.597358\pi\) |
0.675276 | + | 0.737565i | \(0.264024\pi\) | |||||||
\(884\) | −35.5375 | − | 61.5528i | −1.19526 | − | 2.07024i | ||||
\(885\) | 17.2095 | − | 39.9837i | 0.578490 | − | 1.34404i | ||||
\(886\) | −8.42545 | + | 14.5933i | −0.283059 | + | 0.490272i | ||||
\(887\) | − | 31.2157i | − | 1.04812i | −0.851681 | − | 0.524060i | \(-0.824417\pi\) | ||
0.851681 | − | 0.524060i | \(-0.175583\pi\) | |||||||
\(888\) | −18.5304 | + | 145.252i | −0.621838 | + | 4.87434i | ||||
\(889\) | −30.1930 | −1.01264 | ||||||||
\(890\) | 10.6120 | − | 1.24894i | 0.355714 | − | 0.0418646i | ||||
\(891\) | 4.51270 | + | 7.81623i | 0.151181 | + | 0.261854i | ||||
\(892\) | −73.8490 | + | 42.6368i | −2.47265 | + | 1.42758i | ||||
\(893\) | −6.15634 | + | 3.55437i | −0.206014 | + | 0.118942i | ||||
\(894\) | 162.005 | 5.41826 | ||||||||
\(895\) | −20.3980 | − | 8.77954i | −0.681829 | − | 0.293468i | ||||
\(896\) | −46.3013 | −1.54682 | ||||||||
\(897\) | −41.8756 | − | 24.1769i | −1.39819 | − | 0.807243i | ||||
\(898\) | 15.2965i | 0.510452i | ||||||||
\(899\) | 0.445250 | 0.0148499 | ||||||||
\(900\) | 79.8478 | + | 84.3638i | 2.66159 | + | 2.81213i | ||||
\(901\) | −19.4040 | − | 33.6088i | −0.646442 | − | 1.11967i | ||||
\(902\) | − | 49.4176i | − | 1.64543i | ||||||
\(903\) | 6.43275 | + | 3.71395i | 0.214068 | + | 0.123592i | ||||
\(904\) | −71.0187 | + | 123.008i | −2.36205 | + | 4.09118i | ||||
\(905\) | 5.43415 | + | 46.1728i | 0.180637 | + | 1.53484i | ||||
\(906\) | 11.0886 | + | 19.2061i | 0.368395 | + | 0.638079i | ||||
\(907\) | −49.4650 | + | 28.5586i | −1.64246 | + | 0.948274i | −0.662503 | + | 0.749059i | \(0.730506\pi\) |
−0.979956 | + | 0.199215i | \(0.936161\pi\) | |||||||
\(908\) | 34.6706 | + | 20.0171i | 1.15059 | + | 0.664291i | ||||
\(909\) | 12.7482 | − | 22.0805i | 0.422830 | − | 0.732362i | ||||
\(910\) | 28.0551 | − | 3.30185i | 0.930019 | − | 0.109455i | ||||
\(911\) | −4.10234 | −0.135917 | −0.0679583 | − | 0.997688i | \(-0.521648\pi\) | ||||
−0.0679583 | + | 0.997688i | \(0.521648\pi\) | |||||||
\(912\) | −51.5155 | + | 29.7425i | −1.70585 | + | 0.984872i | ||||
\(913\) | −11.8064 | − | 6.81640i | −0.390733 | − | 0.225590i | ||||
\(914\) | 84.3226 | 2.78914 | ||||||||
\(915\) | 43.4457 | + | 58.2606i | 1.43627 | + | 1.92604i | ||||
\(916\) | −20.9286 | + | 36.2495i | −0.691502 | + | 1.19772i | ||||
\(917\) | 24.3217i | 0.803172i | ||||||||
\(918\) | −48.5576 | + | 28.0348i | −1.60264 | + | 0.925285i | ||||
\(919\) | −13.3580 | −0.440639 | −0.220319 | − | 0.975428i | \(-0.570710\pi\) | ||||
−0.220319 | + | 0.975428i | \(0.570710\pi\) | |||||||
\(920\) | −130.941 | − | 56.3588i | −4.31701 | − | 1.85809i | ||||
\(921\) | −8.32473 | − | 14.4189i | −0.274309 | − | 0.475118i | ||||
\(922\) | 55.2205 | − | 31.8816i | 1.81859 | − | 1.04996i | ||||
\(923\) | 13.3639 | + | 7.71567i | 0.439879 | + | 0.253964i | ||||
\(924\) | −86.6433 | −2.85036 | ||||||||
\(925\) | −3.26068 | − | 30.2385i | −0.107210 | − | 0.994236i | ||||
\(926\) | 57.5038 | 1.88969 | ||||||||
\(927\) | 12.1335 | + | 7.00526i | 0.398516 | + | 0.230083i | ||||
\(928\) | −3.87425 | + | 2.23680i | −0.127178 | + | 0.0734265i | ||||
\(929\) | −17.8068 | − | 30.8422i | −0.584221 | − | 1.01190i | −0.994972 | − | 0.100154i | \(-0.968067\pi\) |
0.410751 | − | 0.911748i | \(-0.365267\pi\) | |||||||
\(930\) | 27.3542 | + | 11.7736i | 0.896981 | + | 0.386072i | ||||
\(931\) | 5.58076 | 0.182902 | ||||||||
\(932\) | 49.0781 | − | 28.3353i | 1.60761 | − | 0.928152i | ||||
\(933\) | − | 0.710696i | − | 0.0232672i | ||||||
\(934\) | 0.263518 | − | 0.456426i | 0.00862256 | − | 0.0149347i | ||||
\(935\) | −23.1837 | − | 31.0893i | −0.758187 | − | 1.01673i | ||||
\(936\) | −96.0711 | −3.14018 | ||||||||
\(937\) | 17.4023 | + | 10.0472i | 0.568508 | + | 0.328228i | 0.756553 | − | 0.653932i | \(-0.226882\pi\) |
−0.188045 | + | 0.982160i | \(0.560215\pi\) | |||||||
\(938\) | −49.8692 | + | 28.7920i | −1.62829 | + | 0.940092i | ||||
\(939\) | 9.75466 | 0.318331 | ||||||||
\(940\) | −50.7593 | + | 5.97395i | −1.65559 | + | 0.194849i | ||||
\(941\) | 12.2445 | − | 21.2080i | 0.399158 | − | 0.691361i | −0.594464 | − | 0.804122i | \(-0.702636\pi\) |
0.993622 | + | 0.112760i | \(0.0359693\pi\) | |||||||
\(942\) | −129.454 | − | 74.7401i | −4.21783 | − | 2.43516i | ||||
\(943\) | −35.9485 | + | 20.7549i | −1.17064 | + | 0.675871i | ||||
\(944\) | 47.6486 | + | 82.5298i | 1.55083 | + | 2.68612i | ||||
\(945\) | −1.88915 | − | 16.0517i | −0.0614540 | − | 0.522161i | ||||
\(946\) | 6.17027 | − | 10.6872i | 0.200613 | − | 0.347472i | ||||
\(947\) | −0.721158 | − | 0.416361i | −0.0234345 | − | 0.0135299i | 0.488237 | − | 0.872711i | \(-0.337640\pi\) |
−0.511671 | + | 0.859181i | \(0.670974\pi\) | |||||||
\(948\) | − | 39.2327i | − | 1.27422i | ||||||
\(949\) | −0.352090 | − | 0.609837i | −0.0114293 | − | 0.0197961i | ||||
\(950\) | 16.0888 | − | 15.2276i | 0.521990 | − | 0.494048i | ||||
\(951\) | −20.9121 | −0.678121 | ||||||||
\(952\) | 91.6265i | 2.96963i | ||||||||
\(953\) | 7.74756 | + | 4.47306i | 0.250968 | + | 0.144896i | 0.620207 | − | 0.784438i | \(-0.287048\pi\) |
−0.369239 | + | 0.929334i | \(0.620382\pi\) | |||||||
\(954\) | −84.4438 | −2.73397 | ||||||||
\(955\) | 8.37174 | + | 3.60330i | 0.270903 | + | 0.116600i | ||||
\(956\) | 95.2109 | 3.07934 | ||||||||
\(957\) | −1.83760 | + | 1.06094i | −0.0594011 | + | 0.0342953i | ||||
\(958\) | −22.2150 | + | 12.8259i | −0.717735 | + | 0.414385i | ||||
\(959\) | 4.24408 | + | 7.35096i | 0.137048 | + | 0.237375i | ||||
\(960\) | −136.269 | + | 16.0377i | −4.39806 | + | 0.517615i | ||||
\(961\) | −27.7074 | −0.893789 | ||||||||
\(962\) | 32.2239 | + | 24.5216i | 1.03894 | + | 0.790607i | ||||
\(963\) | − | 38.3824i | − | 1.23685i | ||||||
\(964\) | 66.1627 | − | 114.597i | 2.13096 | − | 3.69092i | ||||
\(965\) | 2.63738 | − | 6.12756i | 0.0849002 | − | 0.197253i | ||||
\(966\) | 50.1736 | + | 86.9031i | 1.61431 | + | 2.79606i | ||||
\(967\) | −47.7562 | + | 27.5721i | −1.53574 | + | 0.886658i | −0.536655 | + | 0.843802i | \(0.680312\pi\) |
−0.999081 | + | 0.0428562i | \(0.986354\pi\) | |||||||
\(968\) | − | 7.92217i | − | 0.254628i | ||||||
\(969\) | 12.1860 | + | 21.1067i | 0.391470 | + | 0.678046i | ||||
\(970\) | −7.38062 | + | 5.50382i | −0.236977 | + | 0.176717i | ||||
\(971\) | −24.1838 | + | 41.8875i | −0.776094 | + | 1.34423i | 0.158084 | + | 0.987426i | \(0.449468\pi\) |
−0.934178 | + | 0.356808i | \(0.883865\pi\) | |||||||
\(972\) | − | 101.108i | − | 3.24306i | ||||||
\(973\) | − | 18.5966i | − | 0.596178i | ||||||
\(974\) | 52.5924 | − | 91.0927i | 1.68517 | − | 2.91880i | ||||
\(975\) | 32.6421 | − | 7.79132i | 1.04538 | − | 0.249522i | ||||
\(976\) | −159.105 | −5.09282 | ||||||||
\(977\) | −9.88821 | − | 5.70896i | −0.316352 | − | 0.182646i | 0.333413 | − | 0.942781i | \(-0.391800\pi\) |
−0.649765 | + | 0.760135i | \(0.725133\pi\) | |||||||
\(978\) | −39.0381 | − | 22.5386i | −1.24830 | − | 0.720706i | ||||
\(979\) | −2.81496 | + | 4.87565i | −0.0899664 | + | 0.155826i | ||||
\(980\) | 36.8552 | + | 15.8629i | 1.17730 | + | 0.506723i | ||||
\(981\) | 23.2927 | + | 40.3441i | 0.743677 | + | 1.28809i | ||||
\(982\) | 71.6622 | + | 41.3742i | 2.28683 | + | 1.32030i | ||||
\(983\) | −9.55480 | − | 5.51647i | −0.304751 | − | 0.175948i | 0.339824 | − | 0.940489i | \(-0.389632\pi\) |
−0.644575 | + | 0.764541i | \(0.722966\pi\) | |||||||
\(984\) | −69.3515 | + | 120.120i | −2.21084 | + | 3.82930i | ||||
\(985\) | 17.7399 | + | 23.7892i | 0.565241 | + | 0.757987i | ||||
\(986\) | 1.80612 | + | 3.12829i | 0.0575186 | + | 0.0996251i | ||||
\(987\) | 19.3547 | + | 11.1744i | 0.616066 | + | 0.355686i | ||||
\(988\) | 21.3909i | 0.680535i | ||||||||
\(989\) | −10.3658 | −0.329613 | ||||||||
\(990\) | −83.8081 | + | 9.86351i | −2.66360 | + | 0.313483i | ||||
\(991\) | 37.2779 | 1.18417 | 0.592086 | − | 0.805875i | \(-0.298305\pi\) | ||||
0.592086 | + | 0.805875i | \(0.298305\pi\) | |||||||
\(992\) | −28.6495 | + | 16.5408i | −0.909621 | + | 0.525170i | ||||
\(993\) | − | 19.5246i | − | 0.619595i | ||||||
\(994\) | −16.0121 | − | 27.7337i | −0.507872 | − | 0.879661i | ||||
\(995\) | 25.7607 | + | 11.0877i | 0.816670 | + | 0.351505i | ||||
\(996\) | 30.7985 | + | 53.3445i | 0.975887 | + | 1.69029i | ||||
\(997\) | −17.9702 | − | 10.3751i | −0.569123 | − | 0.328583i | 0.187676 | − | 0.982231i | \(-0.439904\pi\) |
−0.756799 | + | 0.653648i | \(0.773238\pi\) | |||||||
\(998\) | − | 106.194i | − | 3.36151i | ||||||
\(999\) | 14.0299 | − | 18.4368i | 0.443888 | − | 0.583316i |
(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 | 185.2.n.a.84.18 | yes | 36 | |
5.2 | odd | 4 | 925.2.e.f.676.1 | 36 | |||
5.3 | odd | 4 | 925.2.e.f.676.18 | 36 | |||
5.4 | even | 2 | inner | 185.2.n.a.84.1 | ✓ | 36 | |
37.26 | even | 3 | inner | 185.2.n.a.174.1 | yes | 36 | |
185.63 | odd | 12 | 925.2.e.f.26.18 | 36 | |||
185.137 | odd | 12 | 925.2.e.f.26.1 | 36 | |||
185.174 | even | 6 | inner | 185.2.n.a.174.18 | yes | 36 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
185.2.n.a.84.1 | ✓ | 36 | 5.4 | even | 2 | inner | |
185.2.n.a.84.18 | yes | 36 | 1.1 | even | 1 | trivial | |
185.2.n.a.174.1 | yes | 36 | 37.26 | even | 3 | inner | |
185.2.n.a.174.18 | yes | 36 | 185.174 | even | 6 | inner | |
925.2.e.f.26.1 | 36 | 185.137 | odd | 12 | |||
925.2.e.f.26.18 | 36 | 185.63 | odd | 12 | |||
925.2.e.f.676.1 | 36 | 5.2 | odd | 4 | |||
925.2.e.f.676.18 | 36 | 5.3 | odd | 4 |