Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [429,2,Mod(131,429)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(429, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("429.131");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 429 = 3 \cdot 11 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 429.f (of order \(2\), degree \(1\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.42558224671\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 131.2 | ||
Character | \(\chi\) | \(=\) | 429.131 |
Dual form | 429.2.f.a.131.1 |
$q$-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 \(\left(\mathbb{Z}/429\mathbb{Z}\right)^\times\).
\(n\) | \(67\) | \(79\) | \(287\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.70555 | −1.91311 | −0.956556 | − | 0.291547i | \(-0.905830\pi\) | ||||
−0.956556 | + | 0.291547i | \(0.905830\pi\) | |||||||
\(3\) | −1.68970 | + | 0.380676i | −0.975549 | + | 0.219783i | ||||
\(4\) | 5.32000 | 2.66000 | ||||||||
\(5\) | − | 2.40031i | − | 1.07345i | −0.843757 | − | 0.536725i | \(-0.819661\pi\) | ||
0.843757 | − | 0.536725i | \(-0.180339\pi\) | |||||||
\(6\) | 4.57157 | − | 1.02994i | 1.86633 | − | 0.420470i | ||||
\(7\) | − | 4.64879i | − | 1.75708i | −0.477673 | − | 0.878538i | \(-0.658519\pi\) | ||
0.477673 | − | 0.878538i | \(-0.341481\pi\) | |||||||
\(8\) | −8.98243 | −3.17577 | ||||||||
\(9\) | 2.71017 | − | 1.28646i | 0.903391 | − | 0.428819i | ||||
\(10\) | 6.49415i | 2.05363i | ||||||||
\(11\) | −0.588530 | − | 3.26399i | −0.177448 | − | 0.984130i | ||||
\(12\) | −8.98921 | + | 2.02520i | −2.59496 | + | 0.584624i | ||||
\(13\) | − | 1.00000i | − | 0.277350i | ||||||
\(14\) | 12.5775i | 3.36148i | ||||||||
\(15\) | 0.913739 | + | 4.05580i | 0.235926 | + | 1.04720i | ||||
\(16\) | 13.6624 | 3.41561 | ||||||||
\(17\) | 2.96873 | 0.720024 | 0.360012 | − | 0.932948i | \(-0.382773\pi\) | ||||
0.360012 | + | 0.932948i | \(0.382773\pi\) | |||||||
\(18\) | −7.33251 | + | 3.48057i | −1.72829 | + | 0.820378i | ||||
\(19\) | 0.907622i | 0.208223i | 0.994566 | + | 0.104111i | \(0.0331999\pi\) | ||||
−0.994566 | + | 0.104111i | \(0.966800\pi\) | |||||||
\(20\) | − | 12.7696i | − | 2.85538i | ||||||
\(21\) | 1.76968 | + | 7.85505i | 0.386176 | + | 1.71411i | ||||
\(22\) | 1.59230 | + | 8.83089i | 0.339479 | + | 1.88275i | ||||
\(23\) | − | 0.745744i | − | 0.155498i | −0.996973 | − | 0.0777492i | \(-0.975227\pi\) | ||
0.996973 | − | 0.0777492i | \(-0.0247734\pi\) | |||||||
\(24\) | 15.1776 | − | 3.41940i | 3.09812 | − | 0.697981i | ||||
\(25\) | −0.761477 | −0.152295 | ||||||||
\(26\) | 2.70555i | 0.530602i | ||||||||
\(27\) | −4.08965 | + | 3.20542i | −0.787054 | + | 0.616884i | ||||
\(28\) | − | 24.7316i | − | 4.67382i | ||||||
\(29\) | 4.15417 | 0.771411 | 0.385705 | − | 0.922622i | \(-0.373958\pi\) | ||||
0.385705 | + | 0.922622i | \(0.373958\pi\) | |||||||
\(30\) | −2.47217 | − | 10.9732i | −0.451354 | − | 2.00342i | ||||
\(31\) | −2.63982 | −0.474126 | −0.237063 | − | 0.971494i | \(-0.576185\pi\) | ||||
−0.237063 | + | 0.971494i | \(0.576185\pi\) | |||||||
\(32\) | −18.9995 | −3.35867 | ||||||||
\(33\) | 2.23696 | + | 5.29113i | 0.389405 | + | 0.921067i | ||||
\(34\) | −8.03206 | −1.37749 | ||||||||
\(35\) | −11.1585 | −1.88613 | ||||||||
\(36\) | 14.4181 | − | 6.84395i | 2.40302 | − | 1.14066i | ||||
\(37\) | −9.06415 | −1.49014 | −0.745069 | − | 0.666988i | \(-0.767583\pi\) | ||||
−0.745069 | + | 0.666988i | \(0.767583\pi\) | |||||||
\(38\) | − | 2.45562i | − | 0.398354i | ||||||
\(39\) | 0.380676 | + | 1.68970i | 0.0609569 | + | 0.270569i | ||||
\(40\) | 21.5606i | 3.40903i | ||||||||
\(41\) | 4.58710 | 0.716385 | 0.358192 | − | 0.933648i | \(-0.383393\pi\) | ||||
0.358192 | + | 0.933648i | \(0.383393\pi\) | |||||||
\(42\) | −4.78796 | − | 21.2522i | −0.738798 | − | 3.27929i | ||||
\(43\) | − | 6.71382i | − | 1.02385i | −0.859031 | − | 0.511924i | \(-0.828933\pi\) | ||
0.859031 | − | 0.511924i | \(-0.171067\pi\) | |||||||
\(44\) | −3.13098 | − | 17.3644i | −0.472013 | − | 2.61779i | ||||
\(45\) | −3.08789 | − | 6.50525i | −0.460315 | − | 0.969745i | ||||
\(46\) | 2.01765i | 0.297486i | ||||||||
\(47\) | 6.35638i | 0.927173i | 0.886052 | + | 0.463587i | \(0.153438\pi\) | ||||
−0.886052 | + | 0.463587i | \(0.846562\pi\) | |||||||
\(48\) | −23.0854 | + | 5.20095i | −3.33209 | + | 0.750693i | ||||
\(49\) | −14.6112 | −2.08732 | ||||||||
\(50\) | 2.06021 | 0.291358 | ||||||||
\(51\) | −5.01627 | + | 1.13013i | −0.702418 | + | 0.158249i | ||||
\(52\) | − | 5.32000i | − | 0.737752i | ||||||
\(53\) | − | 6.81627i | − | 0.936287i | −0.883652 | − | 0.468143i | \(-0.844923\pi\) | ||
0.883652 | − | 0.468143i | \(-0.155077\pi\) | |||||||
\(54\) | 11.0648 | − | 8.67243i | 1.50572 | − | 1.18017i | ||||
\(55\) | −7.83458 | + | 1.41265i | −1.05641 | + | 0.190482i | ||||
\(56\) | 41.7574i | 5.58007i | ||||||||
\(57\) | −0.345510 | − | 1.53361i | −0.0457639 | − | 0.203132i | ||||
\(58\) | −11.2393 | −1.47580 | ||||||||
\(59\) | − | 5.61923i | − | 0.731561i | −0.930701 | − | 0.365781i | \(-0.880802\pi\) | ||
0.930701 | − | 0.365781i | \(-0.119198\pi\) | |||||||
\(60\) | 4.86109 | + | 21.5769i | 0.627565 | + | 2.78556i | ||||
\(61\) | 5.76709i | 0.738400i | 0.929350 | + | 0.369200i | \(0.120368\pi\) | ||||
−0.929350 | + | 0.369200i | \(0.879632\pi\) | |||||||
\(62\) | 7.14217 | 0.907056 | ||||||||
\(63\) | −5.98046 | − | 12.5990i | −0.753467 | − | 1.58733i | ||||
\(64\) | 24.0793 | 3.00991 | ||||||||
\(65\) | −2.40031 | −0.297722 | ||||||||
\(66\) | −6.05221 | − | 14.3154i | −0.744976 | − | 1.76210i | ||||
\(67\) | 8.08809 | 0.988117 | 0.494059 | − | 0.869429i | \(-0.335513\pi\) | ||||
0.494059 | + | 0.869429i | \(0.335513\pi\) | |||||||
\(68\) | 15.7937 | 1.91526 | ||||||||
\(69\) | 0.283887 | + | 1.26008i | 0.0341760 | + | 0.151696i | ||||
\(70\) | 30.1899 | 3.60839 | ||||||||
\(71\) | 0.0134651i | 0.00159802i | 1.00000 | 0.000799009i | \(0.000254333\pi\) | |||||
−1.00000 | 0.000799009i | \(0.999746\pi\) | ||||||||
\(72\) | −24.3439 | + | 11.5555i | −2.86896 | + | 1.36183i | ||||
\(73\) | 4.80852i | 0.562795i | 0.959591 | + | 0.281398i | \(0.0907980\pi\) | ||||
−0.959591 | + | 0.281398i | \(0.909202\pi\) | |||||||
\(74\) | 24.5235 | 2.85080 | ||||||||
\(75\) | 1.28667 | − | 0.289876i | 0.148572 | − | 0.0334720i | ||||
\(76\) | 4.82855i | 0.553873i | ||||||||
\(77\) | −15.1736 | + | 2.73595i | −1.72919 | + | 0.311790i | ||||
\(78\) | −1.02994 | − | 4.57157i | −0.116617 | − | 0.517628i | ||||
\(79\) | − | 8.17275i | − | 0.919506i | −0.888047 | − | 0.459753i | \(-0.847938\pi\) | ||
0.888047 | − | 0.459753i | \(-0.152062\pi\) | |||||||
\(80\) | − | 32.7940i | − | 3.66648i | ||||||
\(81\) | 5.69006 | − | 6.97303i | 0.632229 | − | 0.774781i | ||||
\(82\) | −12.4106 | −1.37052 | ||||||||
\(83\) | −1.87173 | −0.205449 | −0.102724 | − | 0.994710i | \(-0.532756\pi\) | ||||
−0.102724 | + | 0.994710i | \(0.532756\pi\) | |||||||
\(84\) | 9.41470 | + | 41.7889i | 1.02723 | + | 4.55954i | ||||
\(85\) | − | 7.12587i | − | 0.772910i | ||||||
\(86\) | 18.1646i | 1.95874i | ||||||||
\(87\) | −7.01931 | + | 1.58139i | −0.752549 | + | 0.169543i | ||||
\(88\) | 5.28643 | + | 29.3186i | 0.563536 | + | 3.12537i | ||||
\(89\) | 6.88831i | 0.730159i | 0.930976 | + | 0.365080i | \(0.118958\pi\) | ||||
−0.930976 | + | 0.365080i | \(0.881042\pi\) | |||||||
\(90\) | 8.35444 | + | 17.6003i | 0.880635 | + | 1.85523i | ||||
\(91\) | −4.64879 | −0.487325 | ||||||||
\(92\) | − | 3.96736i | − | 0.413626i | ||||||
\(93\) | 4.46051 | − | 1.00492i | 0.462533 | − | 0.104205i | ||||
\(94\) | − | 17.1975i | − | 1.77379i | ||||||
\(95\) | 2.17857 | 0.223517 | ||||||||
\(96\) | 32.1035 | − | 7.23265i | 3.27655 | − | 0.738179i | ||||
\(97\) | 13.4578 | 1.36643 | 0.683217 | − | 0.730215i | \(-0.260580\pi\) | ||||
0.683217 | + | 0.730215i | \(0.260580\pi\) | |||||||
\(98\) | 39.5314 | 3.99327 | ||||||||
\(99\) | −5.79400 | − | 8.08886i | −0.582319 | − | 0.812961i | ||||
\(100\) | −4.05106 | −0.405106 | ||||||||
\(101\) | 5.10627 | 0.508093 | 0.254046 | − | 0.967192i | \(-0.418238\pi\) | ||||
0.254046 | + | 0.967192i | \(0.418238\pi\) | |||||||
\(102\) | 13.5718 | − | 3.05761i | 1.34381 | − | 0.302749i | ||||
\(103\) | −3.16632 | −0.311987 | −0.155993 | − | 0.987758i | \(-0.549858\pi\) | ||||
−0.155993 | + | 0.987758i | \(0.549858\pi\) | |||||||
\(104\) | 8.98243i | 0.880800i | ||||||||
\(105\) | 18.8545 | − | 4.24778i | 1.84002 | − | 0.414541i | ||||
\(106\) | 18.4418i | 1.79122i | ||||||||
\(107\) | −12.6023 | −1.21831 | −0.609156 | − | 0.793050i | \(-0.708492\pi\) | ||||
−0.609156 | + | 0.793050i | \(0.708492\pi\) | |||||||
\(108\) | −21.7570 | + | 17.0528i | −2.09357 | + | 1.64091i | ||||
\(109\) | 14.0453i | 1.34529i | 0.739963 | + | 0.672647i | \(0.234843\pi\) | ||||
−0.739963 | + | 0.672647i | \(0.765157\pi\) | |||||||
\(110\) | 21.1969 | − | 3.82200i | 2.02104 | − | 0.364414i | ||||
\(111\) | 15.3157 | − | 3.45050i | 1.45370 | − | 0.327507i | ||||
\(112\) | − | 63.5137i | − | 6.00148i | ||||||
\(113\) | 2.86467i | 0.269486i | 0.990881 | + | 0.134743i | \(0.0430208\pi\) | ||||
−0.990881 | + | 0.134743i | \(0.956979\pi\) | |||||||
\(114\) | 0.934794 | + | 4.14926i | 0.0875515 | + | 0.388614i | ||||
\(115\) | −1.79002 | −0.166920 | ||||||||
\(116\) | 22.1002 | 2.05195 | ||||||||
\(117\) | −1.28646 | − | 2.71017i | −0.118933 | − | 0.250555i | ||||
\(118\) | 15.2031i | 1.39956i | ||||||||
\(119\) | − | 13.8010i | − | 1.26514i | ||||||
\(120\) | −8.20760 | − | 36.4310i | −0.749248 | − | 3.32568i | ||||
\(121\) | −10.3073 | + | 3.84191i | −0.937024 | + | 0.349265i | ||||
\(122\) | − | 15.6031i | − | 1.41264i | ||||||
\(123\) | −7.75082 | + | 1.74620i | −0.698868 | + | 0.157449i | ||||
\(124\) | −14.0439 | −1.26118 | ||||||||
\(125\) | − | 10.1738i | − | 0.909969i | ||||||
\(126\) | 16.1804 | + | 34.0872i | 1.44147 | + | 3.03673i | ||||
\(127\) | 10.8973i | 0.966976i | 0.875351 | + | 0.483488i | \(0.160630\pi\) | ||||
−0.875351 | + | 0.483488i | \(0.839370\pi\) | |||||||
\(128\) | −27.1487 | −2.39963 | ||||||||
\(129\) | 2.55579 | + | 11.3443i | 0.225025 | + | 0.998814i | ||||
\(130\) | 6.49415 | 0.569575 | ||||||||
\(131\) | −21.5642 | −1.88407 | −0.942036 | − | 0.335512i | \(-0.891091\pi\) | ||||
−0.942036 | + | 0.335512i | \(0.891091\pi\) | |||||||
\(132\) | 11.9006 | + | 28.1488i | 1.03582 | + | 2.45004i | ||||
\(133\) | 4.21934 | 0.365863 | ||||||||
\(134\) | −21.8827 | −1.89038 | ||||||||
\(135\) | 7.69400 | + | 9.81643i | 0.662194 | + | 0.844864i | ||||
\(136\) | −26.6665 | −2.28663 | ||||||||
\(137\) | 21.2168i | 1.81267i | 0.422555 | + | 0.906337i | \(0.361133\pi\) | ||||
−0.422555 | + | 0.906337i | \(0.638867\pi\) | |||||||
\(138\) | −0.768070 | − | 3.40922i | −0.0653825 | − | 0.290212i | ||||
\(139\) | − | 15.4534i | − | 1.31074i | −0.755309 | − | 0.655369i | \(-0.772513\pi\) | ||
0.755309 | − | 0.655369i | \(-0.227487\pi\) | |||||||
\(140\) | −59.3633 | −5.01712 | ||||||||
\(141\) | −2.41972 | − | 10.7404i | −0.203777 | − | 0.904503i | ||||
\(142\) | − | 0.0364306i | − | 0.00305719i | ||||||
\(143\) | −3.26399 | + | 0.588530i | −0.272949 | + | 0.0492154i | ||||
\(144\) | 37.0275 | − | 17.5761i | 3.08563 | − | 1.46468i | ||||
\(145\) | − | 9.97129i | − | 0.828071i | ||||||
\(146\) | − | 13.0097i | − | 1.07669i | ||||||
\(147\) | 24.6886 | − | 5.56213i | 2.03628 | − | 0.458757i | ||||
\(148\) | −48.2213 | −3.96377 | ||||||||
\(149\) | −12.6919 | −1.03976 | −0.519880 | − | 0.854239i | \(-0.674023\pi\) | ||||
−0.519880 | + | 0.854239i | \(0.674023\pi\) | |||||||
\(150\) | −3.48114 | + | 0.784274i | −0.284234 | + | 0.0640357i | ||||
\(151\) | 4.45438i | 0.362492i | 0.983438 | + | 0.181246i | \(0.0580131\pi\) | ||||
−0.983438 | + | 0.181246i | \(0.941987\pi\) | |||||||
\(152\) | − | 8.15266i | − | 0.661268i | ||||||
\(153\) | 8.04578 | − | 3.81914i | 0.650463 | − | 0.308760i | ||||
\(154\) | 41.0529 | − | 7.40225i | 3.30814 | − | 0.596490i | ||||
\(155\) | 6.33638i | 0.508950i | ||||||||
\(156\) | 2.02520 | + | 8.98921i | 0.162145 | + | 0.719713i | ||||
\(157\) | 13.7663 | 1.09867 | 0.549335 | − | 0.835602i | \(-0.314881\pi\) | ||||
0.549335 | + | 0.835602i | \(0.314881\pi\) | |||||||
\(158\) | 22.1118i | 1.75912i | ||||||||
\(159\) | 2.59479 | + | 11.5175i | 0.205780 | + | 0.913393i | ||||
\(160\) | 45.6047i | 3.60536i | ||||||||
\(161\) | −3.46681 | −0.273223 | ||||||||
\(162\) | −15.3948 | + | 18.8659i | −1.20953 | + | 1.48224i | ||||
\(163\) | −9.13240 | −0.715305 | −0.357653 | − | 0.933855i | \(-0.616423\pi\) | ||||
−0.357653 | + | 0.933855i | \(0.616423\pi\) | |||||||
\(164\) | 24.4034 | 1.90558 | ||||||||
\(165\) | 12.7003 | − | 5.36940i | 0.988719 | − | 0.418007i | ||||
\(166\) | 5.06405 | 0.393046 | ||||||||
\(167\) | 5.90115 | 0.456644 | 0.228322 | − | 0.973586i | \(-0.426676\pi\) | ||||
0.228322 | + | 0.973586i | \(0.426676\pi\) | |||||||
\(168\) | −15.8960 | − | 70.5575i | −1.22641 | − | 5.44363i | ||||
\(169\) | −1.00000 | −0.0769231 | ||||||||
\(170\) | 19.2794i | 1.47866i | ||||||||
\(171\) | 1.16762 | + | 2.45981i | 0.0892898 | + | 0.188107i | ||||
\(172\) | − | 35.7175i | − | 2.72344i | ||||||
\(173\) | 13.0937 | 0.995497 | 0.497748 | − | 0.867322i | \(-0.334160\pi\) | ||||
0.497748 | + | 0.867322i | \(0.334160\pi\) | |||||||
\(174\) | 18.9911 | − | 4.27854i | 1.43971 | − | 0.324355i | ||||
\(175\) | 3.53994i | 0.267595i | ||||||||
\(176\) | −8.04075 | − | 44.5940i | −0.606094 | − | 3.36140i | ||||
\(177\) | 2.13910 | + | 9.49481i | 0.160785 | + | 0.713674i | ||||
\(178\) | − | 18.6367i | − | 1.39688i | ||||||
\(179\) | 22.5404i | 1.68475i | 0.538893 | + | 0.842374i | \(0.318843\pi\) | ||||
−0.538893 | + | 0.842374i | \(0.681157\pi\) | |||||||
\(180\) | −16.4276 | − | 34.6079i | −1.22444 | − | 2.57952i | ||||
\(181\) | 2.44801 | 0.181959 | 0.0909796 | − | 0.995853i | \(-0.471000\pi\) | ||||
0.0909796 | + | 0.995853i | \(0.471000\pi\) | |||||||
\(182\) | 12.5775 | 0.932308 | ||||||||
\(183\) | −2.19539 | − | 9.74465i | −0.162288 | − | 0.720345i | ||||
\(184\) | 6.69860i | 0.493827i | ||||||||
\(185\) | 21.7568i | 1.59959i | ||||||||
\(186\) | −12.0681 | + | 2.71885i | −0.884878 | + | 0.199356i | ||||
\(187\) | −1.74719 | − | 9.68992i | −0.127767 | − | 0.708597i | ||||
\(188\) | 33.8160i | 2.46628i | ||||||||
\(189\) | 14.9013 | + | 19.0119i | 1.08391 | + | 1.38291i | ||||
\(190\) | −5.89424 | −0.427613 | ||||||||
\(191\) | − | 19.6329i | − | 1.42059i | −0.703907 | − | 0.710293i | \(-0.748563\pi\) | ||
0.703907 | − | 0.710293i | \(-0.251437\pi\) | |||||||
\(192\) | −40.6867 | + | 9.16639i | −2.93631 | + | 0.661528i | ||||
\(193\) | − | 15.8242i | − | 1.13905i | −0.821974 | − | 0.569526i | \(-0.807127\pi\) | ||
0.821974 | − | 0.569526i | \(-0.192873\pi\) | |||||||
\(194\) | −36.4108 | −2.61414 | ||||||||
\(195\) | 4.05580 | − | 0.913739i | 0.290442 | − | 0.0654342i | ||||
\(196\) | −77.7317 | −5.55226 | ||||||||
\(197\) | −5.90304 | −0.420574 | −0.210287 | − | 0.977640i | \(-0.567440\pi\) | ||||
−0.210287 | + | 0.977640i | \(0.567440\pi\) | |||||||
\(198\) | 15.6759 | + | 21.8848i | 1.11404 | + | 1.55529i | ||||
\(199\) | 9.39740 | 0.666164 | 0.333082 | − | 0.942898i | \(-0.391911\pi\) | ||||
0.333082 | + | 0.942898i | \(0.391911\pi\) | |||||||
\(200\) | 6.83992 | 0.483655 | ||||||||
\(201\) | −13.6664 | + | 3.07894i | −0.963957 | + | 0.217172i | ||||
\(202\) | −13.8153 | −0.972039 | ||||||||
\(203\) | − | 19.3119i | − | 1.35543i | ||||||
\(204\) | −26.6866 | + | 6.01227i | −1.86843 | + | 0.420943i | ||||
\(205\) | − | 11.0104i | − | 0.769003i | ||||||
\(206\) | 8.56663 | 0.596865 | ||||||||
\(207\) | −0.959367 | − | 2.02110i | −0.0666806 | − | 0.140476i | ||||
\(208\) | − | 13.6624i | − | 0.947319i | ||||||
\(209\) | 2.96247 | − | 0.534163i | 0.204918 | − | 0.0369488i | ||||
\(210\) | −51.0119 | + | 11.4926i | −3.52016 | + | 0.793063i | ||||
\(211\) | 0.229443i | 0.0157955i | 0.999969 | + | 0.00789775i | \(0.00251396\pi\) | ||||
−0.999969 | + | 0.00789775i | \(0.997486\pi\) | |||||||
\(212\) | − | 36.2626i | − | 2.49052i | ||||||
\(213\) | −0.00512585 | − | 0.0227521i | −0.000351218 | − | 0.00155895i | ||||
\(214\) | 34.0962 | 2.33077 | ||||||||
\(215\) | −16.1152 | −1.09905 | ||||||||
\(216\) | 36.7351 | − | 28.7925i | 2.49950 | − | 1.95908i | ||||
\(217\) | 12.2720i | 0.833075i | ||||||||
\(218\) | − | 38.0002i | − | 2.57370i | ||||||
\(219\) | −1.83049 | − | 8.12496i | −0.123693 | − | 0.549034i | ||||
\(220\) | −41.6800 | + | 7.51532i | −2.81006 | + | 0.506683i | ||||
\(221\) | − | 2.96873i | − | 0.199699i | ||||||
\(222\) | −41.4374 | + | 9.33551i | −2.78110 | + | 0.626558i | ||||
\(223\) | 5.90391 | 0.395355 | 0.197678 | − | 0.980267i | \(-0.436660\pi\) | ||||
0.197678 | + | 0.980267i | \(0.436660\pi\) | |||||||
\(224\) | 88.3246i | 5.90144i | ||||||||
\(225\) | −2.06373 | + | 0.979607i | −0.137582 | + | 0.0653071i | ||||
\(226\) | − | 7.75052i | − | 0.515557i | ||||||
\(227\) | 2.05068 | 0.136108 | 0.0680541 | − | 0.997682i | \(-0.478321\pi\) | ||||
0.0680541 | + | 0.997682i | \(0.478321\pi\) | |||||||
\(228\) | −1.83811 | − | 8.15881i | −0.121732 | − | 0.540330i | ||||
\(229\) | 14.9772 | 0.989722 | 0.494861 | − | 0.868972i | \(-0.335219\pi\) | ||||
0.494861 | + | 0.868972i | \(0.335219\pi\) | |||||||
\(230\) | 4.84298 | 0.319337 | ||||||||
\(231\) | 24.5973 | − | 10.3992i | 1.61838 | − | 0.684214i | ||||
\(232\) | −37.3146 | −2.44982 | ||||||||
\(233\) | 10.9417 | 0.716814 | 0.358407 | − | 0.933565i | \(-0.383320\pi\) | ||||
0.358407 | + | 0.933565i | \(0.383320\pi\) | |||||||
\(234\) | 3.48057 | + | 7.33251i | 0.227532 | + | 0.479341i | ||||
\(235\) | 15.2573 | 0.995274 | ||||||||
\(236\) | − | 29.8943i | − | 1.94595i | ||||||
\(237\) | 3.11117 | + | 13.8095i | 0.202092 | + | 0.897023i | ||||
\(238\) | 37.3393i | 2.42035i | ||||||||
\(239\) | 21.9971 | 1.42287 | 0.711436 | − | 0.702751i | \(-0.248045\pi\) | ||||
0.711436 | + | 0.702751i | \(0.248045\pi\) | |||||||
\(240\) | 12.4839 | + | 55.4120i | 0.805832 | + | 3.57683i | ||||
\(241\) | − | 3.54849i | − | 0.228578i | −0.993448 | − | 0.114289i | \(-0.963541\pi\) | ||
0.993448 | − | 0.114289i | \(-0.0364590\pi\) | |||||||
\(242\) | 27.8868 | − | 10.3945i | 1.79263 | − | 0.668183i | ||||
\(243\) | −6.96003 | + | 13.9484i | −0.446486 | + | 0.894790i | ||||
\(244\) | 30.6809i | 1.96414i | ||||||||
\(245\) | 35.0714i | 2.24063i | ||||||||
\(246\) | 20.9702 | − | 4.72443i | 1.33701 | − | 0.301218i | ||||
\(247\) | 0.907622 | 0.0577506 | ||||||||
\(248\) | 23.7120 | 1.50571 | ||||||||
\(249\) | 3.16265 | − | 0.712521i | 0.200425 | − | 0.0451542i | ||||
\(250\) | 27.5256i | 1.74087i | ||||||||
\(251\) | − | 15.5158i | − | 0.979346i | −0.871906 | − | 0.489673i | \(-0.837116\pi\) | ||
0.871906 | − | 0.489673i | \(-0.162884\pi\) | |||||||
\(252\) | −31.8160 | − | 67.0268i | −2.00422 | − | 4.22229i | ||||
\(253\) | −2.43410 | + | 0.438893i | −0.153031 | + | 0.0275930i | ||||
\(254\) | − | 29.4831i | − | 1.84993i | ||||||
\(255\) | 2.71265 | + | 12.0406i | 0.169873 | + | 0.754011i | ||||
\(256\) | 25.2935 | 1.58085 | ||||||||
\(257\) | 7.59761i | 0.473926i | 0.971519 | + | 0.236963i | \(0.0761520\pi\) | ||||
−0.971519 | + | 0.236963i | \(0.923848\pi\) | |||||||
\(258\) | −6.91482 | − | 30.6927i | −0.430498 | − | 1.91084i | ||||
\(259\) | 42.1373i | 2.61828i | ||||||||
\(260\) | −12.7696 | −0.791940 | ||||||||
\(261\) | 11.2585 | − | 5.34416i | 0.696885 | − | 0.330795i | ||||
\(262\) | 58.3430 | 3.60444 | ||||||||
\(263\) | −6.37999 | −0.393407 | −0.196703 | − | 0.980463i | \(-0.563024\pi\) | ||||
−0.196703 | + | 0.980463i | \(0.563024\pi\) | |||||||
\(264\) | −20.0934 | − | 47.5272i | −1.23666 | − | 2.92510i | ||||
\(265\) | −16.3611 | −1.00506 | ||||||||
\(266\) | −11.4156 | −0.699938 | ||||||||
\(267\) | −2.62221 | − | 11.6392i | −0.160477 | − | 0.712306i | ||||
\(268\) | 43.0286 | 2.62839 | ||||||||
\(269\) | − | 27.4691i | − | 1.67482i | −0.546576 | − | 0.837409i | \(-0.684069\pi\) | ||
0.546576 | − | 0.837409i | \(-0.315931\pi\) | |||||||
\(270\) | −20.8165 | − | 26.5588i | −1.26685 | − | 1.61632i | ||||
\(271\) | − | 10.7347i | − | 0.652088i | −0.945355 | − | 0.326044i | \(-0.894284\pi\) | ||
0.945355 | − | 0.326044i | \(-0.105716\pi\) | |||||||
\(272\) | 40.5601 | 2.45932 | ||||||||
\(273\) | 7.85505 | − | 1.76968i | 0.475409 | − | 0.107106i | ||||
\(274\) | − | 57.4031i | − | 3.46785i | ||||||
\(275\) | 0.448152 | + | 2.48545i | 0.0270246 | + | 0.149878i | ||||
\(276\) | 1.51028 | + | 6.70365i | 0.0909081 | + | 0.403512i | ||||
\(277\) | − | 12.1941i | − | 0.732671i | −0.930483 | − | 0.366336i | \(-0.880612\pi\) | ||
0.930483 | − | 0.366336i | \(-0.119388\pi\) | |||||||
\(278\) | 41.8099i | 2.50759i | ||||||||
\(279\) | −7.15437 | + | 3.39601i | −0.428321 | + | 0.203314i | ||||
\(280\) | 100.231 | 5.98993 | ||||||||
\(281\) | −29.1873 | −1.74117 | −0.870583 | − | 0.492022i | \(-0.836258\pi\) | ||||
−0.870583 | + | 0.492022i | \(0.836258\pi\) | |||||||
\(282\) | 6.54668 | + | 29.0586i | 0.389849 | + | 1.73042i | ||||
\(283\) | 11.3887i | 0.676989i | 0.940968 | + | 0.338494i | \(0.109918\pi\) | ||||
−0.940968 | + | 0.338494i | \(0.890082\pi\) | |||||||
\(284\) | 0.0716346i | 0.00425073i | ||||||||
\(285\) | −3.68113 | + | 0.829330i | −0.218052 | + | 0.0491253i | ||||
\(286\) | 8.83089 | − | 1.59230i | 0.522181 | − | 0.0941545i | ||||
\(287\) | − | 21.3244i | − | 1.25874i | ||||||
\(288\) | −51.4919 | + | 24.4420i | −3.03419 | + | 1.44026i | ||||
\(289\) | −8.18662 | −0.481566 | ||||||||
\(290\) | 26.9778i | 1.58419i | ||||||||
\(291\) | −22.7397 | + | 5.12307i | −1.33302 | + | 0.300320i | ||||
\(292\) | 25.5814i | 1.49704i | ||||||||
\(293\) | 16.9662 | 0.991178 | 0.495589 | − | 0.868557i | \(-0.334952\pi\) | ||||
0.495589 | + | 0.868557i | \(0.334952\pi\) | |||||||
\(294\) | −66.7961 | + | 15.0486i | −3.89563 | + | 0.877654i | ||||
\(295\) | −13.4879 | −0.785294 | ||||||||
\(296\) | 81.4181 | 4.73233 | ||||||||
\(297\) | 12.8693 | + | 11.4621i | 0.746755 | + | 0.665099i | ||||
\(298\) | 34.3385 | 1.98918 | ||||||||
\(299\) | −0.745744 | −0.0431275 | ||||||||
\(300\) | 6.84508 | − | 1.54214i | 0.395201 | − | 0.0890355i | ||||
\(301\) | −31.2111 | −1.79898 | ||||||||
\(302\) | − | 12.0516i | − | 0.693489i | ||||||
\(303\) | −8.62806 | + | 1.94383i | −0.495669 | + | 0.111670i | ||||
\(304\) | 12.4003i | 0.711207i | ||||||||
\(305\) | 13.8428 | 0.792636 | ||||||||
\(306\) | −21.7683 | + | 10.3329i | −1.24441 | + | 0.590692i | ||||
\(307\) | 27.4337i | 1.56572i | 0.622196 | + | 0.782862i | \(0.286241\pi\) | ||||
−0.622196 | + | 0.782862i | \(0.713759\pi\) | |||||||
\(308\) | −80.7235 | + | 14.5553i | −4.59965 | + | 0.829363i | ||||
\(309\) | 5.35013 | − | 1.20534i | 0.304358 | − | 0.0685694i | ||||
\(310\) | − | 17.1434i | − | 0.973680i | ||||||
\(311\) | 4.04707i | 0.229488i | 0.993395 | + | 0.114744i | \(0.0366048\pi\) | ||||
−0.993395 | + | 0.114744i | \(0.963395\pi\) | |||||||
\(312\) | −3.41940 | − | 15.1776i | −0.193585 | − | 0.859263i | ||||
\(313\) | 24.0372 | 1.35866 | 0.679332 | − | 0.733831i | \(-0.262270\pi\) | ||||
0.679332 | + | 0.733831i | \(0.262270\pi\) | |||||||
\(314\) | −37.2454 | −2.10188 | ||||||||
\(315\) | −30.2415 | + | 14.3549i | −1.70392 | + | 0.808809i | ||||
\(316\) | − | 43.4790i | − | 2.44589i | ||||||
\(317\) | − | 4.26641i | − | 0.239625i | −0.992797 | − | 0.119813i | \(-0.961771\pi\) | ||
0.992797 | − | 0.119813i | \(-0.0382294\pi\) | |||||||
\(318\) | −7.02033 | − | 31.1610i | −0.393681 | − | 1.74742i | ||||
\(319\) | −2.44486 | − | 13.5592i | −0.136886 | − | 0.759168i | ||||
\(320\) | − | 57.7976i | − | 3.23099i | ||||||
\(321\) | 21.2941 | − | 4.79740i | 1.18852 | − | 0.267765i | ||||
\(322\) | 9.37962 | 0.522706 | ||||||||
\(323\) | 2.69449i | 0.149925i | ||||||||
\(324\) | 30.2711 | − | 37.0966i | 1.68173 | − | 2.06092i | ||||
\(325\) | 0.761477i | 0.0422391i | ||||||||
\(326\) | 24.7082 | 1.36846 | ||||||||
\(327\) | −5.34670 | − | 23.7323i | −0.295673 | − | 1.31240i | ||||
\(328\) | −41.2033 | −2.27507 | ||||||||
\(329\) | 29.5495 | 1.62911 | ||||||||
\(330\) | −34.3614 | + | 14.5272i | −1.89153 | + | 0.799694i | ||||
\(331\) | −10.1438 | −0.557556 | −0.278778 | − | 0.960356i | \(-0.589929\pi\) | ||||
−0.278778 | + | 0.960356i | \(0.589929\pi\) | |||||||
\(332\) | −9.95758 | −0.546493 | ||||||||
\(333\) | −24.5654 | + | 11.6606i | −1.34618 | + | 0.638999i | ||||
\(334\) | −15.9658 | −0.873612 | ||||||||
\(335\) | − | 19.4139i | − | 1.06069i | ||||||
\(336\) | 24.1781 | + | 107.319i | 1.31902 | + | 5.85473i | ||||
\(337\) | 10.7437i | 0.585245i | 0.956228 | + | 0.292622i | \(0.0945279\pi\) | ||||
−0.956228 | + | 0.292622i | \(0.905472\pi\) | |||||||
\(338\) | 2.70555 | 0.147163 | ||||||||
\(339\) | −1.09051 | − | 4.84044i | −0.0592285 | − | 0.262896i | ||||
\(340\) | − | 37.9097i | − | 2.05594i | ||||||
\(341\) | 1.55361 | + | 8.61635i | 0.0841329 | + | 0.466601i | ||||
\(342\) | −3.15904 | − | 6.65515i | −0.170822 | − | 0.359869i | ||||
\(343\) | 35.3829i | 1.91050i | ||||||||
\(344\) | 60.3064i | 3.25151i | ||||||||
\(345\) | 3.02459 | − | 0.681416i | 0.162838 | − | 0.0366862i | ||||
\(346\) | −35.4257 | −1.90450 | ||||||||
\(347\) | 15.0847 | 0.809788 | 0.404894 | − | 0.914364i | \(-0.367308\pi\) | ||||
0.404894 | + | 0.914364i | \(0.367308\pi\) | |||||||
\(348\) | −37.3427 | + | 8.41302i | −2.00178 | + | 0.450985i | ||||
\(349\) | − | 20.5817i | − | 1.10171i | −0.834600 | − | 0.550856i | \(-0.814301\pi\) | ||
0.834600 | − | 0.550856i | \(-0.185699\pi\) | |||||||
\(350\) | − | 9.57749i | − | 0.511939i | ||||||
\(351\) | 3.20542 | + | 4.08965i | 0.171093 | + | 0.218290i | ||||
\(352\) | 11.1818 | + | 62.0142i | 0.595991 | + | 3.30537i | ||||
\(353\) | − | 19.7474i | − | 1.05105i | −0.850779 | − | 0.525524i | \(-0.823869\pi\) | ||
0.850779 | − | 0.525524i | \(-0.176131\pi\) | |||||||
\(354\) | −5.78745 | − | 25.6887i | −0.307600 | − | 1.36534i | ||||
\(355\) | 0.0323205 | 0.00171539 | ||||||||
\(356\) | 36.6458i | 1.94223i | ||||||||
\(357\) | 5.25371 | + | 23.3196i | 0.278056 | + | 1.23420i | ||||
\(358\) | − | 60.9842i | − | 3.22311i | ||||||
\(359\) | 15.2603 | 0.805408 | 0.402704 | − | 0.915330i | \(-0.368070\pi\) | ||||
0.402704 | + | 0.915330i | \(0.368070\pi\) | |||||||
\(360\) | 27.7368 | + | 58.4329i | 1.46186 | + | 3.07969i | ||||
\(361\) | 18.1762 | 0.956643 | ||||||||
\(362\) | −6.62322 | −0.348109 | ||||||||
\(363\) | 15.9537 | − | 10.4154i | 0.837350 | − | 0.546667i | ||||
\(364\) | −24.7316 | −1.29629 | ||||||||
\(365\) | 11.5419 | 0.604133 | ||||||||
\(366\) | 5.93974 | + | 26.3646i | 0.310475 | + | 1.37810i | ||||
\(367\) | 15.8794 | 0.828898 | 0.414449 | − | 0.910073i | \(-0.363974\pi\) | ||||
0.414449 | + | 0.910073i | \(0.363974\pi\) | |||||||
\(368\) | − | 10.1887i | − | 0.531121i | ||||||
\(369\) | 12.4318 | − | 5.90110i | 0.647175 | − | 0.307199i | ||||
\(370\) | − | 58.8640i | − | 3.06019i | ||||||
\(371\) | −31.6874 | −1.64513 | ||||||||
\(372\) | 23.7299 | − | 5.34616i | 1.23034 | − | 0.277185i | ||||
\(373\) | − | 19.6181i | − | 1.01579i | −0.861420 | − | 0.507894i | \(-0.830424\pi\) | ||
0.861420 | − | 0.507894i | \(-0.169576\pi\) | |||||||
\(374\) | 4.72711 | + | 26.2166i | 0.244433 | + | 1.35563i | ||||
\(375\) | 3.87290 | + | 17.1906i | 0.199996 | + | 0.887719i | ||||
\(376\) | − | 57.0958i | − | 2.94449i | ||||||
\(377\) | − | 4.15417i | − | 0.213951i | ||||||
\(378\) | −40.3163 | − | 51.4377i | −2.07364 | − | 2.64567i | ||||
\(379\) | −12.0138 | −0.617106 | −0.308553 | − | 0.951207i | \(-0.599845\pi\) | ||||
−0.308553 | + | 0.951207i | \(0.599845\pi\) | |||||||
\(380\) | 11.5900 | 0.594555 | ||||||||
\(381\) | −4.14833 | − | 18.4131i | −0.212525 | − | 0.943333i | ||||
\(382\) | 53.1177i | 2.71774i | ||||||||
\(383\) | − | 20.5930i | − | 1.05225i | −0.850407 | − | 0.526125i | \(-0.823644\pi\) | ||
0.850407 | − | 0.526125i | \(-0.176356\pi\) | |||||||
\(384\) | 45.8731 | − | 10.3348i | 2.34095 | − | 0.527398i | ||||
\(385\) | 6.56712 | + | 36.4213i | 0.334691 | + | 1.85620i | ||||
\(386\) | 42.8132i | 2.17913i | ||||||||
\(387\) | −8.63703 | − | 18.1956i | −0.439045 | − | 0.924935i | ||||
\(388\) | 71.5957 | 3.63472 | ||||||||
\(389\) | − | 9.37067i | − | 0.475112i | −0.971374 | − | 0.237556i | \(-0.923654\pi\) | ||
0.971374 | − | 0.237556i | \(-0.0763463\pi\) | |||||||
\(390\) | −10.9732 | + | 2.47217i | −0.555648 | + | 0.125183i | ||||
\(391\) | − | 2.21392i | − | 0.111963i | ||||||
\(392\) | 131.244 | 6.62883 | ||||||||
\(393\) | 36.4370 | − | 8.20896i | 1.83800 | − | 0.414087i | ||||
\(394\) | 15.9710 | 0.804606 | ||||||||
\(395\) | −19.6171 | −0.987044 | ||||||||
\(396\) | −30.8241 | − | 43.0327i | −1.54897 | − | 2.16248i | ||||
\(397\) | 8.54019 | 0.428620 | 0.214310 | − | 0.976766i | \(-0.431250\pi\) | ||||
0.214310 | + | 0.976766i | \(0.431250\pi\) | |||||||
\(398\) | −25.4251 | −1.27445 | ||||||||
\(399\) | −7.12942 | + | 1.60620i | −0.356918 | + | 0.0804106i | ||||
\(400\) | −10.4036 | −0.520181 | ||||||||
\(401\) | − | 0.437486i | − | 0.0218470i | −0.999940 | − | 0.0109235i | \(-0.996523\pi\) | ||
0.999940 | − | 0.0109235i | \(-0.00347713\pi\) | |||||||
\(402\) | 36.9752 | − | 8.33023i | 1.84416 | − | 0.415474i | ||||
\(403\) | 2.63982i | 0.131499i | ||||||||
\(404\) | 27.1654 | 1.35153 | ||||||||
\(405\) | −16.7374 | − | 13.6579i | −0.831689 | − | 0.678667i | ||||
\(406\) | 52.2492i | 2.59308i | ||||||||
\(407\) | 5.33452 | + | 29.5853i | 0.264423 | + | 1.46649i | ||||
\(408\) | 45.0583 | − | 10.1513i | 2.23072 | − | 0.502563i | ||||
\(409\) | 14.4152i | 0.712783i | 0.934337 | + | 0.356392i | \(0.115993\pi\) | ||||
−0.934337 | + | 0.356392i | \(0.884007\pi\) | |||||||
\(410\) | 29.7893i | 1.47119i | ||||||||
\(411\) | −8.07673 | − | 35.8500i | −0.398395 | − | 1.76835i | ||||
\(412\) | −16.8448 | −0.829885 | ||||||||
\(413\) | −26.1226 | −1.28541 | ||||||||
\(414\) | 2.59562 | + | 5.46818i | 0.127568 | + | 0.268746i | ||||
\(415\) | 4.49272i | 0.220539i | ||||||||
\(416\) | 18.9995i | 0.931527i | ||||||||
\(417\) | 5.88272 | + | 26.1116i | 0.288078 | + | 1.27869i | ||||
\(418\) | −8.01511 | + | 1.44520i | −0.392032 | + | 0.0706873i | ||||
\(419\) | 40.5181i | 1.97944i | 0.143017 | + | 0.989720i | \(0.454320\pi\) | ||||
−0.143017 | + | 0.989720i | \(0.545680\pi\) | |||||||
\(420\) | 100.306 | − | 22.5982i | 4.89444 | − | 1.10268i | ||||
\(421\) | −14.5428 | −0.708771 | −0.354386 | − | 0.935099i | \(-0.615310\pi\) | ||||
−0.354386 | + | 0.935099i | \(0.615310\pi\) | |||||||
\(422\) | − | 0.620769i | − | 0.0302186i | ||||||
\(423\) | 8.17720 | + | 17.2269i | 0.397589 | + | 0.837600i | ||||
\(424\) | 61.2267i | 2.97343i | ||||||||
\(425\) | −2.26062 | −0.109656 | ||||||||
\(426\) | 0.0138683 | + | 0.0615568i | 0.000671919 | + | 0.00298244i | ||||
\(427\) | 26.8100 | 1.29742 | ||||||||
\(428\) | −67.0444 | −3.24071 | ||||||||
\(429\) | 5.29113 | − | 2.23696i | 0.255458 | − | 0.108002i | ||||
\(430\) | 43.6006 | 2.10261 | ||||||||
\(431\) | 18.9139 | 0.911049 | 0.455524 | − | 0.890223i | \(-0.349452\pi\) | ||||
0.455524 | + | 0.890223i | \(0.349452\pi\) | |||||||
\(432\) | −55.8746 | + | 43.7938i | −2.68827 | + | 2.10703i | ||||
\(433\) | −29.8901 | −1.43643 | −0.718213 | − | 0.695824i | \(-0.755040\pi\) | ||||
−0.718213 | + | 0.695824i | \(0.755040\pi\) | |||||||
\(434\) | − | 33.2024i | − | 1.59377i | ||||||
\(435\) | 3.79583 | + | 16.8485i | 0.181996 | + | 0.807824i | ||||
\(436\) | 74.7210i | 3.57849i | ||||||||
\(437\) | 0.676854 | 0.0323783 | ||||||||
\(438\) | 4.95248 | + | 21.9825i | 0.236639 | + | 1.05036i | ||||
\(439\) | − | 28.1904i | − | 1.34545i | −0.739891 | − | 0.672727i | \(-0.765123\pi\) | ||
0.739891 | − | 0.672727i | \(-0.234877\pi\) | |||||||
\(440\) | 70.3736 | − | 12.6891i | 3.35493 | − | 0.604927i | ||||
\(441\) | −39.5989 | + | 18.7967i | −1.88566 | + | 0.895080i | ||||
\(442\) | 8.03206i | 0.382046i | ||||||||
\(443\) | 18.4814i | 0.878079i | 0.898468 | + | 0.439039i | \(0.144681\pi\) | ||||
−0.898468 | + | 0.439039i | \(0.855319\pi\) | |||||||
\(444\) | 81.4795 | − | 18.3567i | 3.86685 | − | 0.871170i | ||||
\(445\) | 16.5341 | 0.783790 | ||||||||
\(446\) | −15.9733 | −0.756359 | ||||||||
\(447\) | 21.4455 | − | 4.83150i | 1.01434 | − | 0.228522i | ||||
\(448\) | − | 111.939i | − | 5.28864i | ||||||
\(449\) | − | 27.7393i | − | 1.30910i | −0.756019 | − | 0.654550i | \(-0.772858\pi\) | ||
0.756019 | − | 0.654550i | \(-0.227142\pi\) | |||||||
\(450\) | 5.58354 | − | 2.65037i | 0.263210 | − | 0.124940i | ||||
\(451\) | −2.69965 | − | 14.9722i | −0.127121 | − | 0.705016i | ||||
\(452\) | 15.2401i | 0.716832i | ||||||||
\(453\) | −1.69568 | − | 7.52657i | −0.0796698 | − | 0.353629i | ||||
\(454\) | −5.54821 | −0.260390 | ||||||||
\(455\) | 11.1585i | 0.523119i | ||||||||
\(456\) | 3.10352 | + | 13.7755i | 0.145336 | + | 0.645099i | ||||
\(457\) | 9.88017i | 0.462175i | 0.972933 | + | 0.231088i | \(0.0742284\pi\) | ||||
−0.972933 | + | 0.231088i | \(0.925772\pi\) | |||||||
\(458\) | −40.5216 | −1.89345 | ||||||||
\(459\) | −12.1411 | + | 9.51604i | −0.566698 | + | 0.444171i | ||||
\(460\) | −9.52289 | −0.444007 | ||||||||
\(461\) | 0.122017 | 0.00568292 | 0.00284146 | − | 0.999996i | \(-0.499096\pi\) | ||||
0.00284146 | + | 0.999996i | \(0.499096\pi\) | |||||||
\(462\) | −66.5492 | + | 28.1354i | −3.09615 | + | 1.30898i | ||||
\(463\) | −32.4447 | −1.50784 | −0.753918 | − | 0.656969i | \(-0.771838\pi\) | ||||
−0.753918 | + | 0.656969i | \(0.771838\pi\) | |||||||
\(464\) | 56.7561 | 2.63483 | ||||||||
\(465\) | −2.41211 | − | 10.7066i | −0.111859 | − | 0.496506i | ||||
\(466\) | −29.6033 | −1.37135 | ||||||||
\(467\) | 2.06150i | 0.0953948i | 0.998862 | + | 0.0476974i | \(0.0151883\pi\) | ||||
−0.998862 | + | 0.0476974i | \(0.984812\pi\) | |||||||
\(468\) | −6.84395 | − | 14.4181i | −0.316362 | − | 0.666478i | ||||
\(469\) | − | 37.5998i | − | 1.73620i | ||||||
\(470\) | −41.2793 | −1.90407 | ||||||||
\(471\) | −23.2609 | + | 5.24050i | −1.07181 | + | 0.241469i | ||||
\(472\) | 50.4743i | 2.32327i | ||||||||
\(473\) | −21.9138 | + | 3.95128i | −1.00760 | + | 0.181680i | ||||
\(474\) | −8.41742 | − | 37.3623i | −0.386625 | − | 1.71611i | ||||
\(475\) | − | 0.691134i | − | 0.0317114i | ||||||
\(476\) | − | 73.4214i | − | 3.36526i | ||||||
\(477\) | −8.76883 | − | 18.4733i | −0.401497 | − | 0.845833i | ||||
\(478\) | −59.5142 | −2.72212 | ||||||||
\(479\) | 19.1463 | 0.874815 | 0.437408 | − | 0.899263i | \(-0.355897\pi\) | ||||
0.437408 | + | 0.899263i | \(0.355897\pi\) | |||||||
\(480\) | −17.3606 | − | 77.0582i | −0.792399 | − | 3.51721i | ||||
\(481\) | 9.06415i | 0.413290i | ||||||||
\(482\) | 9.60062i | 0.437296i | ||||||||
\(483\) | 5.85786 | − | 1.31973i | 0.266542 | − | 0.0600498i | ||||
\(484\) | −54.8347 | + | 20.4390i | −2.49249 | + | 0.929045i | ||||
\(485\) | − | 32.3029i | − | 1.46680i | ||||||
\(486\) | 18.8307 | − | 37.7381i | 0.854179 | − | 1.71184i | ||||
\(487\) | 7.65812 | 0.347022 | 0.173511 | − | 0.984832i | \(-0.444489\pi\) | ||||
0.173511 | + | 0.984832i | \(0.444489\pi\) | |||||||
\(488\) | − | 51.8025i | − | 2.34499i | ||||||
\(489\) | 15.4310 | − | 3.47649i | 0.697815 | − | 0.157212i | ||||
\(490\) | − | 94.8874i | − | 4.28658i | ||||||
\(491\) | −15.4009 | −0.695031 | −0.347516 | − | 0.937674i | \(-0.612975\pi\) | ||||
−0.347516 | + | 0.937674i | \(0.612975\pi\) | |||||||
\(492\) | −41.2344 | + | 9.28978i | −1.85899 | + | 0.418815i | ||||
\(493\) | 12.3326 | 0.555434 | ||||||||
\(494\) | −2.45562 | −0.110483 | ||||||||
\(495\) | −19.4157 | + | 13.9074i | −0.872673 | + | 0.625090i | ||||
\(496\) | −36.0663 | −1.61943 | ||||||||
\(497\) | 0.0625966 | 0.00280784 | ||||||||
\(498\) | −8.55672 | + | 1.92776i | −0.383436 | + | 0.0863850i | ||||
\(499\) | −14.3159 | −0.640868 | −0.320434 | − | 0.947271i | \(-0.603829\pi\) | ||||
−0.320434 | + | 0.947271i | \(0.603829\pi\) | |||||||
\(500\) | − | 54.1244i | − | 2.42052i | ||||||
\(501\) | −9.97116 | + | 2.24642i | −0.445479 | + | 0.100363i | ||||
\(502\) | 41.9787i | 1.87360i | ||||||||
\(503\) | 12.7139 | 0.566885 | 0.283442 | − | 0.958989i | \(-0.408524\pi\) | ||||
0.283442 | + | 0.958989i | \(0.408524\pi\) | |||||||
\(504\) | 53.7191 | + | 113.170i | 2.39284 | + | 5.04098i | ||||
\(505\) | − | 12.2566i | − | 0.545412i | ||||||
\(506\) | 6.58559 | − | 1.18745i | 0.292765 | − | 0.0527885i | ||||
\(507\) | 1.68970 | − | 0.380676i | 0.0750422 | − | 0.0169064i | ||||
\(508\) | 57.9735i | 2.57216i | ||||||||
\(509\) | − | 10.7626i | − | 0.477045i | −0.971137 | − | 0.238523i | \(-0.923337\pi\) | ||
0.971137 | − | 0.238523i | \(-0.0766631\pi\) | |||||||
\(510\) | −7.33921 | − | 32.5764i | −0.324986 | − | 1.44251i | ||||
\(511\) | 22.3538 | 0.988874 | ||||||||
\(512\) | −14.1356 | −0.624712 | ||||||||
\(513\) | −2.90931 | − | 3.71186i | −0.128449 | − | 0.163883i | ||||
\(514\) | − | 20.5557i | − | 0.906674i | ||||||
\(515\) | 7.60014i | 0.334902i | ||||||||
\(516\) | 13.5968 | + | 60.3519i | 0.598566 | + | 2.65685i | ||||
\(517\) | 20.7472 | − | 3.74092i | 0.912459 | − | 0.164526i | ||||
\(518\) | − | 114.005i | − | 5.00907i | ||||||
\(519\) | −22.1244 | + | 4.98446i | −0.971155 | + | 0.218794i | ||||
\(520\) | 21.5606 | 0.945495 | ||||||||
\(521\) | − | 13.0706i | − | 0.572632i | −0.958135 | − | 0.286316i | \(-0.907569\pi\) | ||
0.958135 | − | 0.286316i | \(-0.0924307\pi\) | |||||||
\(522\) | −30.4605 | + | 14.4589i | −1.33322 | + | 0.632849i | ||||
\(523\) | − | 4.52508i | − | 0.197868i | −0.995094 | − | 0.0989339i | \(-0.968457\pi\) | ||
0.995094 | − | 0.0989339i | \(-0.0315432\pi\) | |||||||
\(524\) | −114.722 | −5.01163 | ||||||||
\(525\) | −1.34757 | − | 5.98144i | −0.0588128 | − | 0.261052i | ||||
\(526\) | 17.2614 | 0.752632 | ||||||||
\(527\) | −7.83693 | −0.341382 | ||||||||
\(528\) | 30.5623 | + | 72.2896i | 1.33005 | + | 3.14600i | ||||
\(529\) | 22.4439 | 0.975820 | ||||||||
\(530\) | 44.2659 | 1.92279 | ||||||||
\(531\) | −7.22889 | − | 15.2291i | −0.313707 | − | 0.660885i | ||||
\(532\) | 22.4469 | 0.973197 | ||||||||
\(533\) | − | 4.58710i | − | 0.198689i | ||||||
\(534\) | 7.09453 | + | 31.4904i | 0.307010 | + | 1.36272i | ||||
\(535\) | 30.2495i | 1.30780i | ||||||||
\(536\) | −72.6507 | −3.13803 | ||||||||
\(537\) | −8.58058 | − | 38.0865i | −0.370279 | − | 1.64355i | ||||
\(538\) | 74.3189i | 3.20412i | ||||||||
\(539\) | 8.59913 | + | 47.6908i | 0.370391 | + | 2.05419i | ||||
\(540\) | 40.9321 | + | 52.2234i | 1.76144 | + | 2.24734i | ||||
\(541\) | − | 8.78739i | − | 0.377799i | −0.981996 | − | 0.188900i | \(-0.939508\pi\) | ||
0.981996 | − | 0.188900i | \(-0.0604921\pi\) | |||||||
\(542\) | 29.0434i | 1.24752i | ||||||||
\(543\) | −4.13640 | + | 0.931899i | −0.177510 | + | 0.0399916i | ||||
\(544\) | −56.4045 | −2.41832 | ||||||||
\(545\) | 33.7130 | 1.44411 | ||||||||
\(546\) | −21.2522 | + | 4.78796i | −0.909512 | + | 0.204906i | ||||
\(547\) | − | 43.5328i | − | 1.86133i | −0.365875 | − | 0.930664i | \(-0.619230\pi\) | ||
0.365875 | − | 0.930664i | \(-0.380770\pi\) | |||||||
\(548\) | 112.873i | 4.82172i | ||||||||
\(549\) | 7.41910 | + | 15.6298i | 0.316640 | + | 0.667064i | ||||
\(550\) | −1.21250 | − | 6.72452i | −0.0517011 | − | 0.286734i | ||||
\(551\) | 3.77042i | 0.160625i | ||||||||
\(552\) | −2.55000 | − | 11.3186i | −0.108535 | − | 0.481753i | ||||
\(553\) | −37.9933 | −1.61564 | ||||||||
\(554\) | 32.9917i | 1.40168i | ||||||||
\(555\) | −8.28227 | − | 36.7624i | −0.351563 | − | 1.56048i | ||||
\(556\) | − | 82.2119i | − | 3.48656i | ||||||
\(557\) | −15.9263 | −0.674817 | −0.337409 | − | 0.941358i | \(-0.609550\pi\) | ||||
−0.337409 | + | 0.941358i | \(0.609550\pi\) | |||||||
\(558\) | 19.3565 | − | 9.18808i | 0.819426 | − | 0.388963i | ||||
\(559\) | −6.71382 | −0.283964 | ||||||||
\(560\) | −152.452 | −6.44229 | ||||||||
\(561\) | 6.64094 | + | 15.7079i | 0.280381 | + | 0.663190i | ||||
\(562\) | 78.9676 | 3.33105 | ||||||||
\(563\) | −25.5134 | −1.07526 | −0.537630 | − | 0.843181i | \(-0.680680\pi\) | ||||
−0.537630 | + | 0.843181i | \(0.680680\pi\) | |||||||
\(564\) | −12.8729 | − | 57.1388i | −0.542048 | − | 2.40598i | ||||
\(565\) | 6.87610 | 0.289280 | ||||||||
\(566\) | − | 30.8127i | − | 1.29516i | ||||||
\(567\) | −32.4161 | − | 26.4519i | −1.36135 | − | 1.11087i | ||||
\(568\) | − | 0.120950i | − | 0.00507494i | ||||||
\(569\) | −39.9270 | −1.67383 | −0.836913 | − | 0.547336i | \(-0.815642\pi\) | ||||
−0.836913 | + | 0.547336i | \(0.815642\pi\) | |||||||
\(570\) | 9.95950 | − | 2.24379i | 0.417157 | − | 0.0939822i | ||||
\(571\) | − | 24.5956i | − | 1.02929i | −0.857402 | − | 0.514647i | \(-0.827923\pi\) | ||
0.857402 | − | 0.514647i | \(-0.172077\pi\) | |||||||
\(572\) | −17.3644 | + | 3.13098i | −0.726044 | + | 0.130913i | ||||
\(573\) | 7.47376 | + | 33.1737i | 0.312221 | + | 1.38585i | ||||
\(574\) | 57.6943i | 2.40812i | ||||||||
\(575\) | 0.567867i | 0.0236817i | ||||||||
\(576\) | 65.2589 | − | 30.9769i | 2.71912 | − | 1.29070i | ||||
\(577\) | 38.2383 | 1.59188 | 0.795941 | − | 0.605374i | \(-0.206976\pi\) | ||||
0.795941 | + | 0.605374i | \(0.206976\pi\) | |||||||
\(578\) | 22.1493 | 0.921290 | ||||||||
\(579\) | 6.02389 | + | 26.7382i | 0.250344 | + | 1.11120i | ||||
\(580\) | − | 53.0473i | − | 2.20267i | ||||||
\(581\) | 8.70125i | 0.360989i | ||||||||
\(582\) | 61.5234 | − | 13.8607i | 2.55023 | − | 0.574545i | ||||
\(583\) | −22.2482 | + | 4.01158i | −0.921428 | + | 0.166143i | ||||
\(584\) | − | 43.1923i | − | 1.78731i | ||||||
\(585\) | −6.50525 | + | 3.08789i | −0.268959 | + | 0.127669i | ||||
\(586\) | −45.9030 | −1.89624 | ||||||||
\(587\) | 7.39147i | 0.305079i | 0.988297 | + | 0.152539i | \(0.0487451\pi\) | ||||
−0.988297 | + | 0.152539i | \(0.951255\pi\) | |||||||
\(588\) | 131.343 | − | 29.5906i | 5.41650 | − | 1.22029i | ||||
\(589\) | − | 2.39596i | − | 0.0987238i | ||||||
\(590\) | 36.4921 | 1.50236 | ||||||||
\(591\) | 9.97437 | − | 2.24715i | 0.410291 | − | 0.0924352i | ||||
\(592\) | −123.838 | −5.08972 | ||||||||
\(593\) | −10.0660 | −0.413362 | −0.206681 | − | 0.978408i | \(-0.566266\pi\) | ||||
−0.206681 | + | 0.978408i | \(0.566266\pi\) | |||||||
\(594\) | −34.8187 | − | 31.0113i | −1.42863 | − | 1.27241i | ||||
\(595\) | −33.1267 | −1.35806 | ||||||||
\(596\) | −67.5209 | −2.76576 | ||||||||
\(597\) | −15.8788 | + | 3.57736i | −0.649875 | + | 0.146412i | ||||
\(598\) | 2.01765 | 0.0825078 | ||||||||
\(599\) | − | 4.65033i | − | 0.190008i | −0.995477 | − | 0.0950038i | \(-0.969714\pi\) | ||
0.995477 | − | 0.0950038i | \(-0.0302863\pi\) | |||||||
\(600\) | −11.5574 | + | 2.60379i | −0.471829 | + | 0.106299i | ||||
\(601\) | − | 8.64295i | − | 0.352553i | −0.984341 | − | 0.176277i | \(-0.943595\pi\) | ||
0.984341 | − | 0.176277i | \(-0.0564053\pi\) | |||||||
\(602\) | 84.4432 | 3.44165 | ||||||||
\(603\) | 21.9201 | − | 10.4050i | 0.892656 | − | 0.423723i | ||||
\(604\) | 23.6973i | 0.964230i | ||||||||
\(605\) | 9.22177 | + | 24.7406i | 0.374918 | + | 1.00585i | ||||
\(606\) | 23.3436 | − | 5.25914i | 0.948271 | − | 0.213638i | ||||
\(607\) | − | 32.9707i | − | 1.33824i | −0.743155 | − | 0.669120i | \(-0.766671\pi\) | ||
0.743155 | − | 0.669120i | \(-0.233329\pi\) | |||||||
\(608\) | − | 17.2444i | − | 0.699352i | ||||||
\(609\) | 7.35156 | + | 32.6313i | 0.297900 | + | 1.32229i | ||||
\(610\) | −37.4524 | −1.51640 | ||||||||
\(611\) | 6.35638 | 0.257152 | ||||||||
\(612\) | 42.8036 | − | 20.3179i | 1.73023 | − | 0.821301i | ||||
\(613\) | − | 23.5803i | − | 0.952398i | −0.879338 | − | 0.476199i | \(-0.842014\pi\) | ||
0.879338 | − | 0.476199i | \(-0.157986\pi\) | |||||||
\(614\) | − | 74.2232i | − | 2.99541i | ||||||
\(615\) | 4.19141 | + | 18.6044i | 0.169014 | + | 0.750200i | ||||
\(616\) | 136.296 | − | 24.5755i | 5.49151 | − | 0.990175i | ||||
\(617\) | − | 12.0090i | − | 0.483465i | −0.970343 | − | 0.241732i | \(-0.922284\pi\) | ||
0.970343 | − | 0.241732i | \(-0.0777156\pi\) | |||||||
\(618\) | −14.4750 | + | 3.26111i | −0.582271 | + | 0.131181i | ||||
\(619\) | 33.8834 | 1.36189 | 0.680944 | − | 0.732336i | \(-0.261570\pi\) | ||||
0.680944 | + | 0.732336i | \(0.261570\pi\) | |||||||
\(620\) | 33.7096i | 1.35381i | ||||||||
\(621\) | 2.39042 | + | 3.04984i | 0.0959245 | + | 0.122386i | ||||
\(622\) | − | 10.9496i | − | 0.439037i | ||||||
\(623\) | 32.0223 | 1.28295 | ||||||||
\(624\) | 5.20095 | + | 23.0854i | 0.208205 | + | 0.924155i | ||||
\(625\) | −28.2275 | −1.12910 | ||||||||
\(626\) | −65.0339 | −2.59928 | ||||||||
\(627\) | −4.80234 | + | 2.03032i | −0.191787 | + | 0.0810830i | ||||
\(628\) | 73.2368 | 2.92247 | ||||||||
\(629\) | −26.9091 | −1.07293 | ||||||||
\(630\) | 81.8199 | − | 38.8380i | 3.25978 | − | 1.54734i | ||||
\(631\) | 26.8591 | 1.06924 | 0.534621 | − | 0.845092i | \(-0.320454\pi\) | ||||
0.534621 | + | 0.845092i | \(0.320454\pi\) | |||||||
\(632\) | 73.4112i | 2.92014i | ||||||||
\(633\) | −0.0873433 | − | 0.387689i | −0.00347159 | − | 0.0154093i | ||||
\(634\) | 11.5430i | 0.458430i | ||||||||
\(635\) | 26.1568 | 1.03800 | ||||||||
\(636\) | 13.8043 | + | 61.2729i | 0.547376 | + | 2.42963i | ||||
\(637\) | 14.6112i | 0.578917i | ||||||||
\(638\) | 6.61468 | + | 36.6850i | 0.261878 | + | 1.45237i | ||||
\(639\) | 0.0173223 | + | 0.0364929i | 0.000685260 | + | 0.00144364i | ||||
\(640\) | 65.1651i | 2.57588i | ||||||||
\(641\) | 20.2051i | 0.798053i | 0.916939 | + | 0.399027i | \(0.130652\pi\) | ||||
−0.916939 | + | 0.399027i | \(0.869348\pi\) | |||||||
\(642\) | −57.6124 | + | 12.9796i | −2.27378 | + | 0.512264i | ||||
\(643\) | −25.2247 | −0.994765 | −0.497382 | − | 0.867531i | \(-0.665705\pi\) | ||||
−0.497382 | + | 0.867531i | \(0.665705\pi\) | |||||||
\(644\) | −18.4434 | −0.726772 | ||||||||
\(645\) | 27.2299 | − | 6.13468i | 1.07218 | − | 0.241553i | ||||
\(646\) | − | 7.29008i | − | 0.286824i | ||||||
\(647\) | 27.8084i | 1.09326i | 0.837374 | + | 0.546631i | \(0.184090\pi\) | ||||
−0.837374 | + | 0.546631i | \(0.815910\pi\) | |||||||
\(648\) | −51.1106 | + | 62.6348i | −2.00781 | + | 2.46053i | ||||
\(649\) | −18.3411 | + | 3.30708i | −0.719951 | + | 0.129814i | ||||
\(650\) | − | 2.06021i | − | 0.0808083i | ||||||
\(651\) | −4.67164 | − | 20.7359i | −0.183096 | − | 0.812705i | ||||
\(652\) | −48.5844 | −1.90271 | ||||||||
\(653\) | − | 34.9648i | − | 1.36828i | −0.729351 | − | 0.684140i | \(-0.760178\pi\) | ||
0.729351 | − | 0.684140i | \(-0.239822\pi\) | |||||||
\(654\) | 14.4658 | + | 64.2090i | 0.565656 | + | 2.51077i | ||||
\(655\) | 51.7607i | 2.02246i | ||||||||
\(656\) | 62.6709 | 2.44689 | ||||||||
\(657\) | 6.18595 | + | 13.0319i | 0.241337 | + | 0.508424i | ||||
\(658\) | −79.9475 | −3.11668 | ||||||||
\(659\) | 50.7710 | 1.97776 | 0.988879 | − | 0.148720i | \(-0.0475152\pi\) | ||||
0.988879 | + | 0.148720i | \(0.0475152\pi\) | |||||||
\(660\) | 67.5658 | − | 28.5652i | 2.62999 | − | 1.11190i | ||||
\(661\) | −17.8821 | −0.695532 | −0.347766 | − | 0.937581i | \(-0.613060\pi\) | ||||
−0.347766 | + | 0.937581i | \(0.613060\pi\) | |||||||
\(662\) | 27.4447 | 1.06667 | ||||||||
\(663\) | 1.13013 | + | 5.01627i | 0.0438904 | + | 0.194816i | ||||
\(664\) | 16.8126 | 0.652457 | ||||||||
\(665\) | − | 10.1277i | − | 0.392736i | ||||||
\(666\) | 66.4629 | − | 31.5484i | 2.57539 | − | 1.22248i | ||||
\(667\) | − | 3.09795i | − | 0.119953i | ||||||
\(668\) | 31.3941 | 1.21467 | ||||||||
\(669\) | −9.97584 | + | 2.24748i | −0.385688 | + | 0.0868925i | ||||
\(670\) | 52.5253i | 2.02923i | ||||||||
\(671\) | 18.8237 | − | 3.39410i | 0.726682 | − | 0.131028i | ||||
\(672\) | −33.6230 | − | 149.242i | −1.29704 | − | 5.75714i | ||||
\(673\) | 34.4034i | 1.32615i | 0.748552 | + | 0.663077i | \(0.230750\pi\) | ||||
−0.748552 | + | 0.663077i | \(0.769250\pi\) | |||||||
\(674\) | − | 29.0675i | − | 1.11964i | ||||||
\(675\) | 3.11418 | − | 2.44085i | 0.119865 | − | 0.0939485i | ||||
\(676\) | −5.32000 | −0.204615 | ||||||||
\(677\) | 32.3052 | 1.24159 | 0.620795 | − | 0.783973i | \(-0.286810\pi\) | ||||
0.620795 | + | 0.783973i | \(0.286810\pi\) | |||||||
\(678\) | 2.95043 | + | 13.0960i | 0.113311 | + | 0.502951i | ||||
\(679\) | − | 62.5625i | − | 2.40093i | ||||||
\(680\) | 64.0077i | 2.45458i | ||||||||
\(681\) | −3.46503 | + | 0.780643i | −0.132780 | + | 0.0299143i | ||||
\(682\) | −4.20338 | − | 23.3120i | −0.160956 | − | 0.892661i | ||||
\(683\) | − | 27.4993i | − | 1.05223i | −0.850413 | − | 0.526116i | \(-0.823648\pi\) | ||
0.850413 | − | 0.526116i | \(-0.176352\pi\) | |||||||
\(684\) | 6.21172 | + | 13.0862i | 0.237511 | + | 0.500364i | ||||
\(685\) | 50.9269 | 1.94582 | ||||||||
\(686\) | − | 95.7301i | − | 3.65499i | ||||||
\(687\) | −25.3070 | + | 5.70146i | −0.965522 | + | 0.217524i | ||||
\(688\) | − | 91.7270i | − | 3.49706i | ||||||
\(689\) | −6.81627 | −0.259679 | ||||||||
\(690\) | −8.18318 | + | 1.84360i | −0.311528 | + | 0.0701848i | ||||
\(691\) | 35.6772 | 1.35722 | 0.678612 | − | 0.734497i | \(-0.262582\pi\) | ||||
0.678612 | + | 0.734497i | \(0.262582\pi\) | |||||||
\(692\) | 69.6586 | 2.64802 | ||||||||
\(693\) | −37.6034 | + | 26.9350i | −1.42843 | + | 1.02318i | ||||
\(694\) | −40.8124 | −1.54922 | ||||||||
\(695\) | −37.0928 | −1.40701 | ||||||||
\(696\) | 63.0505 | − | 14.2048i | 2.38992 | − | 0.538430i | ||||
\(697\) | 13.6179 | 0.515814 | ||||||||
\(698\) | 55.6848i | 2.10770i | ||||||||
\(699\) | −18.4882 | + | 4.16524i | −0.699287 | + | 0.157544i | ||||
\(700\) | 18.8325i | 0.711802i | ||||||||
\(701\) | −33.0189 | −1.24711 | −0.623554 | − | 0.781780i | \(-0.714312\pi\) | ||||
−0.623554 | + | 0.781780i | \(0.714312\pi\) | |||||||
\(702\) | −8.67243 | − | 11.0648i | −0.327320 | − | 0.417613i | ||||
\(703\) | − | 8.22683i | − | 0.310281i | ||||||
\(704\) | −14.1714 | − | 78.5945i | −0.534104 | − | 2.96214i | ||||
\(705\) | −25.7802 | + | 5.80807i | −0.970939 | + | 0.218745i | ||||
\(706\) | 53.4276i | 2.01077i | ||||||||
\(707\) | − | 23.7379i | − | 0.892757i | ||||||
\(708\) | 11.3800 | + | 50.5124i | 0.427688 | + | 1.89837i | ||||
\(709\) | 27.3389 | 1.02673 | 0.513367 | − | 0.858169i | \(-0.328398\pi\) | ||||
0.513367 | + | 0.858169i | \(0.328398\pi\) | |||||||
\(710\) | −0.0874447 | −0.00328174 | ||||||||
\(711\) | −10.5139 | − | 22.1495i | −0.394301 | − | 0.830673i | ||||
\(712\) | − | 61.8738i | − | 2.31882i | ||||||
\(713\) | 1.96863i | 0.0737258i | ||||||||
\(714\) | −14.2142 | − | 63.0922i | −0.531952 | − | 2.36117i | ||||
\(715\) | 1.41265 | + | 7.83458i | 0.0528302 | + | 0.292997i | ||||
\(716\) | 119.915i | 4.48143i | ||||||||
\(717\) | −37.1685 | + | 8.37375i | −1.38808 | + | 0.312724i | ||||
\(718\) | −41.2875 | −1.54084 | ||||||||
\(719\) | 27.5207i | 1.02635i | 0.858285 | + | 0.513174i | \(0.171530\pi\) | ||||
−0.858285 | + | 0.513174i | \(0.828470\pi\) | |||||||
\(720\) | −42.1881 | − | 88.8774i | −1.57226 | − | 3.31227i | ||||
\(721\) | 14.7195i | 0.548184i | ||||||||
\(722\) | −49.1767 | −1.83017 | ||||||||
\(723\) | 1.35082 | + | 5.99588i | 0.0502377 | + | 0.222989i | ||||
\(724\) | 13.0234 | 0.484012 | ||||||||
\(725\) | −3.16331 | −0.117482 | ||||||||
\(726\) | −43.1634 | + | 28.1794i | −1.60195 | + | 1.04584i | ||||
\(727\) | 23.5273 | 0.872580 | 0.436290 | − | 0.899806i | \(-0.356292\pi\) | ||||
0.436290 | + | 0.899806i | \(0.356292\pi\) | |||||||
\(728\) | 41.7574 | 1.54763 | ||||||||
\(729\) | 6.45055 | − | 26.2181i | 0.238909 | − | 0.971042i | ||||
\(730\) | −31.2273 | −1.15577 | ||||||||
\(731\) | − | 19.9315i | − | 0.737195i | ||||||
\(732\) | −11.6795 | − | 51.8416i | −0.431686 | − | 1.91612i | ||||
\(733\) | 40.4706i | 1.49482i | 0.664365 | + | 0.747408i | \(0.268702\pi\) | ||||
−0.664365 | + | 0.747408i | \(0.731298\pi\) | |||||||
\(734\) | −42.9625 | −1.58578 | ||||||||
\(735\) | −13.3508 | − | 59.2601i | −0.492453 | − | 2.18584i | ||||
\(736\) | 14.1688i | 0.522268i | ||||||||
\(737\) | −4.76008 | − | 26.3994i | −0.175340 | − | 0.972436i | ||||
\(738\) | −33.6349 | + | 15.9657i | −1.23812 | + | 0.587706i | ||||
\(739\) | 21.7703i | 0.800832i | 0.916333 | + | 0.400416i | \(0.131134\pi\) | ||||
−0.916333 | + | 0.400416i | \(0.868866\pi\) | |||||||
\(740\) | 115.746i | 4.25491i | ||||||||
\(741\) | −1.53361 | + | 0.345510i | −0.0563386 | + | 0.0126926i | ||||
\(742\) | 85.7318 | 3.14731 | ||||||||
\(743\) | 19.9234 | 0.730918 | 0.365459 | − | 0.930827i | \(-0.380912\pi\) | ||||
0.365459 | + | 0.930827i | \(0.380912\pi\) | |||||||
\(744\) | −40.0662 | + | 9.02659i | −1.46890 | + | 0.330931i | ||||
\(745\) | 30.4644i | 1.11613i | ||||||||
\(746\) | 53.0778i | 1.94332i | ||||||||
\(747\) | −5.07270 | + | 2.40789i | −0.185600 | + | 0.0881002i | ||||
\(748\) | −9.29505 | − | 51.5504i | −0.339861 | − | 1.88487i | ||||
\(749\) | 58.5855i | 2.14067i | ||||||||
\(750\) | −10.4783 | − | 46.5100i | −0.382615 | − | 1.69831i | ||||
\(751\) | 16.4501 | 0.600272 | 0.300136 | − | 0.953896i | \(-0.402968\pi\) | ||||
0.300136 | + | 0.953896i | \(0.402968\pi\) | |||||||
\(752\) | 86.8436i | 3.16686i | ||||||||
\(753\) | 5.90647 | + | 26.2170i | 0.215244 | + | 0.955399i | ||||
\(754\) | 11.2393i | 0.409312i | ||||||||
\(755\) | 10.6919 | 0.389118 | ||||||||
\(756\) | 79.2750 | + | 101.144i | 2.88321 | + | 3.67855i | ||||
\(757\) | −35.7661 | −1.29994 | −0.649970 | − | 0.759960i | \(-0.725219\pi\) | ||||
−0.649970 | + | 0.759960i | \(0.725219\pi\) | |||||||
\(758\) | 32.5039 | 1.18059 | ||||||||
\(759\) | 3.94583 | − | 1.66820i | 0.143224 | − | 0.0605519i | ||||
\(760\) | −19.5689 | −0.709838 | ||||||||
\(761\) | 35.0961 | 1.27223 | 0.636117 | − | 0.771593i | \(-0.280540\pi\) | ||||
0.636117 | + | 0.771593i | \(0.280540\pi\) | |||||||
\(762\) | 11.2235 | + | 49.8176i | 0.406585 | + | 1.80470i | ||||
\(763\) | 65.2935 | 2.36378 | ||||||||
\(764\) | − | 104.447i | − | 3.77876i | ||||||
\(765\) | −9.16712 | − | 19.3123i | −0.331438 | − | 0.698239i | ||||
\(766\) | 55.7153i | 2.01307i | ||||||||
\(767\) | −5.61923 | −0.202899 | ||||||||
\(768\) | −42.7385 | + | 9.62864i | −1.54219 | + | 0.347444i | ||||
\(769\) | 39.6385i | 1.42940i | 0.699431 | + | 0.714700i | \(0.253437\pi\) | ||||
−0.699431 | + | 0.714700i | \(0.746563\pi\) | |||||||
\(770\) | −17.7677 | − | 98.5396i | −0.640303 | − | 3.55112i | ||||
\(771\) | −2.89223 | − | 12.8377i | −0.104161 | − | 0.462338i | ||||
\(772\) | − | 84.1848i | − | 3.02988i | ||||||
\(773\) | − | 8.43042i | − | 0.303221i | −0.988440 | − | 0.151611i | \(-0.951554\pi\) | ||
0.988440 | − | 0.151611i | \(-0.0484459\pi\) | |||||||
\(774\) | 23.3679 | + | 49.2291i | 0.839943 | + | 1.76950i | ||||
\(775\) | 2.01016 | 0.0722072 | ||||||||
\(776\) | −120.884 | −4.33948 | ||||||||
\(777\) | −16.0406 | − | 71.1994i | −0.575455 | − | 2.55426i | ||||
\(778\) | 25.3528i | 0.908943i | ||||||||
\(779\) | 4.16335i | 0.149168i | ||||||||
\(780\) | 21.5769 | − | 4.86109i | 0.772576 | − | 0.174055i | ||||
\(781\) | 0.0439501 | − | 0.00792464i | 0.00157266 | − | 0.000283566i | ||||
\(782\) | 5.98986i | 0.214197i | ||||||||
\(783\) | −16.9891 | + | 13.3159i | −0.607142 | + | 0.475871i | ||||
\(784\) | −199.624 | −7.12945 | ||||||||
\(785\) | − | 33.0434i | − | 1.17937i | ||||||
\(786\) | −98.5821 | + | 22.2098i | −3.51631 | + | 0.792196i | ||||
\(787\) | 18.8892i | 0.673328i | 0.941625 | + | 0.336664i | \(0.109299\pi\) | ||||
−0.941625 | + | 0.336664i | \(0.890701\pi\) | |||||||
\(788\) | −31.4042 | −1.11873 | ||||||||
\(789\) | 10.7803 | − | 2.42871i | 0.383788 | − | 0.0864643i | ||||
\(790\) | 53.0751 | 1.88833 | ||||||||
\(791\) | 13.3173 | 0.473507 | ||||||||
\(792\) | 52.0442 | + | 72.6576i | 1.84931 | + | 2.58178i | ||||
\(793\) | 5.76709 | 0.204795 | ||||||||
\(794\) | −23.1059 | −0.819998 | ||||||||
\(795\) | 27.6454 | − | 6.22829i | 0.980482 | − | 0.220895i | ||||
\(796\) | 49.9942 | 1.77200 | ||||||||
\(797\) | − | 7.57802i | − | 0.268427i | −0.990952 | − | 0.134214i | \(-0.957149\pi\) | ||
0.990952 | − | 0.134214i | \(-0.0428508\pi\) | |||||||
\(798\) | 19.2890 | − | 4.34566i | 0.682824 | − | 0.153835i | ||||
\(799\) | 18.8704i | 0.667587i | ||||||||
\(800\) | 14.4677 | 0.511510 | ||||||||
\(801\) | 8.86151 | + | 18.6685i | 0.313106 | + | 0.659619i | ||||
\(802\) | 1.18364i | 0.0417958i | ||||||||
\(803\) | 15.6950 | − | 2.82996i | 0.553864 | − | 0.0998671i | ||||
\(804\) | −72.7055 | + | 16.3800i | −2.56413 | + | 0.577677i | ||||
\(805\) | 8.32140i | 0.293291i | ||||||||
\(806\) | − | 7.14217i | − | 0.251572i | ||||||
\(807\) | 10.4568 | + | 46.4145i | 0.368097 | + | 1.63387i | ||||
\(808\) | −45.8667 | −1.61359 | ||||||||
\(809\) | 22.3252 | 0.784914 | 0.392457 | − | 0.919770i | \(-0.371625\pi\) | ||||
0.392457 | + | 0.919770i | \(0.371625\pi\) | |||||||
\(810\) | 45.2839 | + | 36.9521i | 1.59112 | + | 1.29837i | ||||
\(811\) | − | 42.1574i | − | 1.48035i | −0.672416 | − | 0.740174i | \(-0.734743\pi\) | ||
0.672416 | − | 0.740174i | \(-0.265257\pi\) | |||||||
\(812\) | − | 102.739i | − | 3.60544i | ||||||
\(813\) | 4.08645 | + | 18.1385i | 0.143318 | + | 0.636144i | ||||
\(814\) | −14.4328 | − | 80.0445i | −0.505870 | − | 2.80556i | ||||
\(815\) | 21.9206i | 0.767844i | ||||||||
\(816\) | −68.5344 | + | 15.4402i | −2.39918 | + | 0.540517i | ||||
\(817\) | 6.09361 | 0.213189 | ||||||||
\(818\) | − | 39.0009i | − | 1.36364i | ||||||
\(819\) | −12.5990 | + | 5.98046i | −0.440245 | + | 0.208974i | ||||
\(820\) | − | 58.5756i | − | 2.04555i | ||||||
\(821\) | −20.9868 | −0.732443 | −0.366221 | − | 0.930528i | \(-0.619349\pi\) | ||||
−0.366221 | + | 0.930528i | \(0.619349\pi\) | |||||||
\(822\) | 21.8520 | + | 96.9941i | 0.762176 | + | 3.38306i | ||||
\(823\) | −8.85694 | −0.308733 | −0.154367 | − | 0.988014i | \(-0.549334\pi\) | ||||
−0.154367 | + | 0.988014i | \(0.549334\pi\) | |||||||
\(824\) | 28.4412 | 0.990797 | ||||||||
\(825\) | −1.70339 | − | 4.02907i | −0.0593046 | − | 0.140274i | ||||
\(826\) | 70.6760 | 2.45913 | ||||||||
\(827\) | −11.5953 | −0.403209 | −0.201605 | − | 0.979467i | \(-0.564616\pi\) | ||||
−0.201605 | + | 0.979467i | \(0.564616\pi\) | |||||||
\(828\) | −5.10384 | − | 10.7522i | −0.177371 | − | 0.373666i | ||||
\(829\) | −10.6080 | −0.368430 | −0.184215 | − | 0.982886i | \(-0.558974\pi\) | ||||
−0.184215 | + | 0.982886i | \(0.558974\pi\) | |||||||
\(830\) | − | 12.1553i | − | 0.421916i | ||||||
\(831\) | 4.64199 | + | 20.6043i | 0.161029 | + | 0.714757i | ||||
\(832\) | − | 24.0793i | − | 0.834798i | ||||||
\(833\) | −43.3768 | −1.50292 | ||||||||
\(834\) | −15.9160 | − | 70.6461i | −0.551126 | − | 2.44627i | ||||
\(835\) | − | 14.1646i | − | 0.490185i | ||||||
\(836\) | 15.7604 | − | 2.84175i | 0.545083 | − | 0.0982839i | ||||
\(837\) | 10.7960 | − | 8.46174i | 0.373163 | − | 0.292480i | ||||
\(838\) | − | 109.624i | − | 3.78689i | ||||||
\(839\) | − | 14.1872i | − | 0.489795i | −0.969549 | − | 0.244897i | \(-0.921246\pi\) | ||
0.969549 | − | 0.244897i | \(-0.0787543\pi\) | |||||||
\(840\) | −169.360 | + | 38.1554i | −5.84346 | + | 1.31649i | ||||
\(841\) | −11.7428 | −0.404926 | ||||||||
\(842\) | 39.3462 | 1.35596 | ||||||||
\(843\) | 49.3177 | − | 11.1109i | 1.69859 | − | 0.382679i | ||||
\(844\) | 1.22064i | 0.0420160i | ||||||||
\(845\) | 2.40031i | 0.0825731i | ||||||||
\(846\) | −22.1238 | − | 46.6082i | −0.760633 | − | 1.60242i | ||||
\(847\) | 17.8602 | + | 47.9163i | 0.613685 | + | 1.64642i | ||||
\(848\) | − | 93.1268i | − | 3.19799i | ||||||
\(849\) | −4.33541 | − | 19.2435i | −0.148791 | − | 0.660436i | ||||
\(850\) | 6.11623 | 0.209785 | ||||||||
\(851\) | 6.75954i | 0.231714i | ||||||||
\(852\) | −0.0272696 | − | 0.121041i | −0.000934240 | − | 0.00414680i | ||||
\(853\) | − | 4.40579i | − | 0.150851i | −0.997151 | − | 0.0754256i | \(-0.975968\pi\) | ||
0.997151 | − | 0.0754256i | \(-0.0240315\pi\) | |||||||
\(854\) | −72.5357 | −2.48212 | ||||||||
\(855\) | 5.90431 | − | 2.80264i | 0.201923 | − | 0.0958482i | ||||
\(856\) | 113.200 | 3.86908 | ||||||||
\(857\) | 4.94679 | 0.168979 | 0.0844895 | − | 0.996424i | \(-0.473074\pi\) | ||||
0.0844895 | + | 0.996424i | \(0.473074\pi\) | |||||||
\(858\) | −14.3154 | + | 6.05221i | −0.488720 | + | 0.206619i | ||||
\(859\) | −27.1208 | −0.925351 | −0.462676 | − | 0.886528i | \(-0.653111\pi\) | ||||
−0.462676 | + | 0.886528i | \(0.653111\pi\) | |||||||
\(860\) | −85.7331 | −2.92347 | ||||||||
\(861\) | 8.11770 | + | 36.0319i | 0.276650 | + | 1.22796i | ||||
\(862\) | −51.1724 | −1.74294 | ||||||||
\(863\) | − | 17.0607i | − | 0.580752i | −0.956913 | − | 0.290376i | \(-0.906220\pi\) | ||
0.956913 | − | 0.290376i | \(-0.0937805\pi\) | |||||||
\(864\) | 77.7014 | − | 60.9014i | 2.64346 | − | 2.07191i | ||||
\(865\) | − | 31.4289i | − | 1.06862i | ||||||
\(866\) | 80.8691 | 2.74804 | ||||||||
\(867\) | 13.8329 | − | 3.11645i | 0.469791 | − | 0.105840i | ||||
\(868\) | 65.2869i | 2.21598i | ||||||||
\(869\) | −26.6758 | + | 4.80991i | −0.904913 | + | 0.163165i | ||||
\(870\) | −10.2698 | − | 45.5845i | −0.348179 | − | 1.54546i | ||||
\(871\) | − | 8.08809i | − | 0.274054i | ||||||
\(872\) | − | 126.161i | − | 4.27235i | ||||||
\(873\) | 36.4730 | − | 17.3129i | 1.23442 | − | 0.585953i | ||||
\(874\) | −1.83126 | −0.0619434 | ||||||||
\(875\) | −47.2956 | −1.59888 | ||||||||
\(876\) | −9.73821 | − | 43.2248i | −0.329023 | − | 1.46043i | ||||
\(877\) | 48.8134i | 1.64831i | 0.566363 | + | 0.824156i | \(0.308350\pi\) | ||||
−0.566363 | + | 0.824156i | \(0.691650\pi\) | |||||||
\(878\) | 76.2705i | 2.57401i | ||||||||
\(879\) | −28.6678 | + | 6.45863i | −0.966942 | + | 0.217844i | ||||
\(880\) | −107.039 | + | 19.3003i | −3.60830 | + | 0.650612i | ||||
\(881\) | 23.2768i | 0.784215i | 0.919919 | + | 0.392107i | \(0.128254\pi\) | ||||
−0.919919 | + | 0.392107i | \(0.871746\pi\) | |||||||
\(882\) | 107.137 | − | 50.8553i | 3.60748 | − | 1.71239i | ||||
\(883\) | 6.19019 | 0.208317 | 0.104158 | − | 0.994561i | \(-0.466785\pi\) | ||||
0.104158 | + | 0.994561i | \(0.466785\pi\) | |||||||
\(884\) | − | 15.7937i | − | 0.531199i | ||||||
\(885\) | 22.7905 | − | 5.13451i | 0.766093 | − | 0.172595i | ||||
\(886\) | − | 50.0024i | − | 1.67986i | ||||||
\(887\) | 0.793840 | 0.0266545 | 0.0133273 | − | 0.999911i | \(-0.495758\pi\) | ||||
0.0133273 | + | 0.999911i | \(0.495758\pi\) | |||||||
\(888\) | −137.572 | + | 30.9939i | −4.61662 | + | 1.04009i | ||||
\(889\) | 50.6591 | 1.69905 | ||||||||
\(890\) | −44.7337 | −1.49948 | ||||||||
\(891\) | −26.1087 | − | 14.4685i | −0.874674 | − | 0.484712i | ||||
\(892\) | 31.4088 | 1.05165 | ||||||||
\(893\) | −5.76919 | −0.193059 | ||||||||
\(894\) | −58.0218 | + | 13.0719i | −1.94054 | + | 0.437188i | ||||
\(895\) | 54.1039 | 1.80849 | ||||||||
\(896\) | 126.208i | 4.21632i | ||||||||
\(897\) | 1.26008 | − | 0.283887i | 0.0420730 | − | 0.00947871i | ||||
\(898\) | 75.0501i | 2.50445i | ||||||||
\(899\) | −10.9663 | −0.365746 | ||||||||
\(900\) | −10.9791 | + | 5.21151i | −0.365969 | + | 0.173717i | ||||
\(901\) | − | 20.2357i | − | 0.674149i | ||||||
\(902\) | 7.30403 | + | 40.5082i | 0.243197 | + | 1.34877i | ||||
\(903\) | 52.7374 | − | 11.8813i | 1.75499 | − | 0.395385i | ||||
\(904\) | − | 25.7317i | − | 0.855825i | ||||||
\(905\) | − | 5.87598i | − | 0.195324i | ||||||
\(906\) | 4.58774 | + | 20.3635i | 0.152417 | + | 0.676532i | ||||
\(907\) | 10.9991 | 0.365219 | 0.182609 | − | 0.983186i | \(-0.441546\pi\) | ||||
0.182609 | + | 0.983186i | \(0.441546\pi\) | |||||||
\(908\) | 10.9096 | 0.362048 | ||||||||
\(909\) | 13.8389 | − | 6.56899i | 0.459006 | − | 0.217880i | ||||
\(910\) | − | 30.1899i | − | 1.00079i | ||||||
\(911\) | 7.69798i | 0.255046i | 0.991836 | + | 0.127523i | \(0.0407026\pi\) | ||||
−0.991836 | + | 0.127523i | \(0.959297\pi\) | |||||||
\(912\) | −4.72050 | − | 20.9528i | −0.156311 | − | 0.693817i | ||||
\(913\) | 1.10157 | + | 6.10929i | 0.0364565 | + | 0.202188i | ||||
\(914\) | − | 26.7313i | − | 0.884193i | ||||||
\(915\) | −23.3902 | + | 5.26961i | −0.773255 | + | 0.174208i | ||||
\(916\) | 79.6788 | 2.63266 | ||||||||
\(917\) | 100.247i | 3.31046i | ||||||||
\(918\) | 32.8483 | − | 25.7461i | 1.08416 | − | 0.849749i | ||||
\(919\) | 26.3226i | 0.868301i | 0.900840 | + | 0.434151i | \(0.142951\pi\) | ||||
−0.900840 | + | 0.434151i | \(0.857049\pi\) | |||||||
\(920\) | 16.0787 | 0.530099 | ||||||||
\(921\) | −10.4433 | − | 46.3547i | −0.344120 | − | 1.52744i | ||||
\(922\) | −0.330124 | −0.0108721 | ||||||||
\(923\) | 0.0134651 | 0.000443211 | ||||||||
\(924\) | 130.858 | − | 55.3235i | 4.30490 | − | 1.82001i | ||||
\(925\) | 6.90214 | 0.226941 | ||||||||
\(926\) | 87.7809 | 2.88466 | ||||||||
\(927\) | −8.58126 | + | 4.07333i | −0.281846 | + | 0.133786i | ||||
\(928\) | −78.9272 | −2.59091 | ||||||||
\(929\) | − | 47.6720i | − | 1.56407i | −0.623236 | − | 0.782034i | \(-0.714182\pi\) | ||
0.623236 | − | 0.782034i | \(-0.285818\pi\) | |||||||
\(930\) | 6.52608 | + | 28.9672i | 0.213999 | + | 0.949872i | ||||
\(931\) | − | 13.2615i | − | 0.434627i | ||||||
\(932\) | 58.2099 | 1.90673 | ||||||||
\(933\) | −1.54062 | − | 6.83834i | −0.0504377 | − | 0.223877i | ||||
\(934\) | − | 5.57749i | − | 0.182501i | ||||||
\(935\) | −23.2588 | + | 4.19379i | −0.760644 | + | 0.137152i | ||||
\(936\) | 11.5555 | + | 24.3439i | 0.377703 | + | 0.795707i | ||||
\(937\) | − | 36.0674i | − | 1.17827i | −0.808034 | − | 0.589135i | \(-0.799469\pi\) | ||
0.808034 | − | 0.589135i | \(-0.200531\pi\) | |||||||
\(938\) | 101.728i | 3.32154i | ||||||||
\(939\) | −40.6157 | + | 9.15038i | −1.32544 | + | 0.298611i | ||||
\(940\) | 81.1687 | 2.64743 | ||||||||
\(941\) | 5.65441 | 0.184329 | 0.0921643 | − | 0.995744i | \(-0.470622\pi\) | ||||
0.0921643 | + | 0.995744i | \(0.470622\pi\) | |||||||
\(942\) | 62.9336 | − | 14.1784i | 2.05049 | − | 0.461958i | ||||
\(943\) | − | 3.42080i | − | 0.111397i | ||||||
\(944\) | − | 76.7723i | − | 2.49872i | ||||||
\(945\) | 45.6345 | − | 35.7677i | 1.48449 | − | 1.16352i | ||||
\(946\) | 59.2890 | − | 10.6904i | 1.92765 | − | 0.347575i | ||||
\(947\) | − | 10.0116i | − | 0.325333i | −0.986681 | − | 0.162666i | \(-0.947991\pi\) | ||
0.986681 | − | 0.162666i | \(-0.0520094\pi\) | |||||||
\(948\) | 16.5514 | + | 73.4665i | 0.537565 | + | 2.38608i | ||||
\(949\) | 4.80852 | 0.156091 | ||||||||
\(950\) | 1.86990i | 0.0606675i | ||||||||
\(951\) | 1.62412 | + | 7.20895i | 0.0526657 | + | 0.233766i | ||||
\(952\) | 123.967i | 4.01778i | ||||||||
\(953\) | 10.1129 | 0.327588 | 0.163794 | − | 0.986495i | \(-0.447627\pi\) | ||||
0.163794 | + | 0.986495i | \(0.447627\pi\) | |||||||
\(954\) | 23.7245 | + | 49.9804i | 0.768110 | + | 1.61817i | ||||
\(955\) | −47.1250 | −1.52493 | ||||||||
\(956\) | 117.025 | 3.78484 | ||||||||
\(957\) | 9.29272 | + | 21.9803i | 0.300391 | + | 0.710521i | ||||
\(958\) | −51.8012 | −1.67362 | ||||||||
\(959\) | 98.6324 | 3.18501 | ||||||||
\(960\) | 22.0022 | + | 97.6607i | 0.710117 | + | 3.15198i | ||||
\(961\) | −24.0313 | −0.775205 | ||||||||
\(962\) | − | 24.5235i | − | 0.790670i | ||||||
\(963\) | −34.1545 | + | 16.2123i | −1.10061 | + | 0.522435i | ||||
\(964\) | − | 18.8780i | − | 0.608019i | ||||||
\(965\) | −37.9830 | −1.22271 | ||||||||
\(966\) | −15.8487 | + | 3.57059i | −0.509925 | + | 0.114882i | ||||
\(967\) | − | 24.8226i | − | 0.798243i | −0.916898 | − | 0.399121i | \(-0.869315\pi\) | ||
0.916898 | − | 0.399121i | \(-0.130685\pi\) | |||||||
\(968\) | 92.5843 | − | 34.5097i | 2.97577 | − | 1.10918i | ||||
\(969\) | −1.02573 | − | 4.55288i | −0.0329511 | − | 0.146260i | ||||
\(970\) | 87.3972i | 2.80615i | ||||||||
\(971\) | 39.0524i | 1.25325i | 0.779320 | + | 0.626626i | \(0.215565\pi\) | ||||
−0.779320 | + | 0.626626i | \(0.784435\pi\) | |||||||
\(972\) | −37.0274 | + | 74.2055i | −1.18765 | + | 2.38014i | ||||
\(973\) | −71.8394 | −2.30306 | ||||||||
\(974\) | −20.7194 | −0.663893 | ||||||||
\(975\) | −0.289876 | − | 1.28667i | −0.00928346 | − | 0.0412063i | ||||
\(976\) | 78.7924i | 2.52208i | ||||||||
\(977\) | 4.91859i | 0.157360i | 0.996900 | + | 0.0786799i | \(0.0250705\pi\) | ||||
−0.996900 | + | 0.0786799i | \(0.974930\pi\) | |||||||
\(978\) | −41.7494 | + | 9.40581i | −1.33500 | + | 0.300765i | ||||
\(979\) | 22.4834 | − | 4.05398i | 0.718572 | − | 0.129566i | ||||
\(980\) | 186.580i | 5.96008i | ||||||||
\(981\) | 18.0686 | + | 38.0651i | 0.576887 | + | 1.21533i | ||||
\(982\) | 41.6678 | 1.32967 | ||||||||
\(983\) | − | 37.1938i | − | 1.18630i | −0.805093 | − | 0.593148i | \(-0.797885\pi\) | ||
0.805093 | − | 0.593148i | \(-0.202115\pi\) | |||||||
\(984\) | 69.6212 | − | 15.6851i | 2.21944 | − | 0.500023i | ||||
\(985\) | 14.1691i | 0.451466i | ||||||||
\(986\) | −33.3666 | −1.06261 | ||||||||
\(987\) | −49.9297 | + | 11.2488i | −1.58928 | + | 0.358052i | ||||
\(988\) | 4.82855 | 0.153617 | ||||||||
\(989\) | −5.00679 | −0.159207 | ||||||||
\(990\) | 52.5303 | − | 37.6271i | 1.66952 | − | 1.19587i | ||||
\(991\) | −15.4387 | −0.490425 | −0.245213 | − | 0.969469i | \(-0.578858\pi\) | ||||
−0.245213 | + | 0.969469i | \(0.578858\pi\) | |||||||
\(992\) | 50.1553 | 1.59243 | ||||||||
\(993\) | 17.1400 | − | 3.86151i | 0.543923 | − | 0.122541i | ||||
\(994\) | −0.169358 | −0.00537171 | ||||||||
\(995\) | − | 22.5567i | − | 0.715094i | ||||||
\(996\) | 16.8253 | − | 3.79061i | 0.533131 | − | 0.120110i | ||||
\(997\) | − | 29.8330i | − | 0.944821i | −0.881379 | − | 0.472411i | \(-0.843384\pi\) | ||
0.881379 | − | 0.472411i | \(-0.156616\pi\) | |||||||
\(998\) | 38.7324 | 1.22605 | ||||||||
\(999\) | 37.0692 | − | 29.0544i | 1.17282 | − | 0.919241i |
(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 | 429.2.f.a.131.2 | yes | 48 | |
3.2 | odd | 2 | inner | 429.2.f.a.131.47 | yes | 48 | |
11.10 | odd | 2 | inner | 429.2.f.a.131.48 | yes | 48 | |
33.32 | even | 2 | inner | 429.2.f.a.131.1 | ✓ | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
429.2.f.a.131.1 | ✓ | 48 | 33.32 | even | 2 | inner | |
429.2.f.a.131.2 | yes | 48 | 1.1 | even | 1 | trivial | |
429.2.f.a.131.47 | yes | 48 | 3.2 | odd | 2 | inner | |
429.2.f.a.131.48 | yes | 48 | 11.10 | odd | 2 | inner |