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 | 131.47 | ||
Character | \(\chi\) | \(=\) | 429.131 |
Dual form | 429.2.f.a.131.48 |
$q$-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 | \(-0.0941700\pi\) | ||||
0.956556 | + | 0.291547i | \(0.0941700\pi\) | |||||||
\(3\) | −1.68970 | − | 0.380676i | −0.975549 | − | 0.219783i | ||||
\(4\) | 5.32000 | 2.66000 | ||||||||
\(5\) | 2.40031i | 1.07345i | 0.843757 | + | 0.536725i | \(0.180339\pi\) | ||||
−0.843757 | + | 0.536725i | \(0.819661\pi\) | |||||||
\(6\) | −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 | \(-0.617227\pi\) | ||||
−0.360012 | + | 0.932948i | \(0.617227\pi\) | |||||||
\(18\) | 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 | \(0.0247734\pi\) | ||||
−0.996973 | + | 0.0777492i | \(0.975227\pi\) | |||||||
\(24\) | −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 | \(-0.626042\pi\) | ||||
−0.385705 | + | 0.922622i | \(0.626042\pi\) | |||||||
\(30\) | 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 | ||||||||
\(33\) | 0.248083 | − | 5.73920i | 0.0431857 | − | 0.999067i | ||||
\(34\) | −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 | \(-0.616607\pi\) | ||||
−0.358192 | + | 0.933648i | \(0.616607\pi\) | |||||||
\(42\) | −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 | \(-0.846562\pi\) | ||
0.886052 | − | 0.463587i | \(-0.153438\pi\) | |||||||
\(48\) | −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 | \(0.155077\pi\) | ||||
−0.883652 | + | 0.468143i | \(0.844923\pi\) | |||||||
\(54\) | −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 | \(0.119198\pi\) | ||||
−0.930701 | + | 0.365781i | \(0.880802\pi\) | |||||||
\(60\) | 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 | ||||||||
\(66\) | 0.671201 | − | 15.5277i | 0.0826192 | − | 1.91133i | ||||
\(67\) | 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 | \(-0.999746\pi\) | |||
1.00000 | 0.000799009i | \(-0.000254333\pi\) | ||||||||
\(72\) | 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 | \(-0.467244\pi\) | ||||
0.102724 | + | 0.994710i | \(0.467244\pi\) | |||||||
\(84\) | −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 | \(-0.881042\pi\) | ||
0.930976 | − | 0.365080i | \(-0.118958\pi\) | |||||||
\(90\) | −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 | ||||||||
\(99\) | −2.60396 | + | 9.60309i | −0.261708 | + | 0.965147i | ||||
\(100\) | −4.05106 | −0.405106 | ||||||||
\(101\) | −5.10627 | −0.508093 | −0.254046 | − | 0.967192i | \(-0.581762\pi\) | ||||
−0.254046 | + | 0.967192i | \(0.581762\pi\) | |||||||
\(102\) | 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 | \(-0.291508\pi\) | ||||
0.609156 | + | 0.793050i | \(0.291508\pi\) | |||||||
\(108\) | −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 | \(-0.956979\pi\) | ||
0.990881 | − | 0.134743i | \(-0.0430208\pi\) | |||||||
\(114\) | 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 | \(-0.108909\pi\) | ||||
0.942036 | + | 0.335512i | \(0.108909\pi\) | |||||||
\(132\) | 1.31980 | − | 30.5326i | 0.114874 | − | 2.65752i | ||||
\(133\) | 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 | \(-0.638867\pi\) | ||
0.422555 | − | 0.906337i | \(-0.361133\pi\) | |||||||
\(138\) | 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 | \(-0.325977\pi\) | ||||
0.519880 | + | 0.854239i | \(0.325977\pi\) | |||||||
\(150\) | 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 | ||||||||
\(165\) | 13.7759 | + | 0.595476i | 1.07245 | + | 0.0463577i | ||||
\(166\) | 5.06405 | 0.393046 | ||||||||
\(167\) | −5.90115 | −0.456644 | −0.228322 | − | 0.973586i | \(-0.573324\pi\) | ||||
−0.228322 | + | 0.973586i | \(0.573324\pi\) | |||||||
\(168\) | −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 | \(-0.665840\pi\) | ||||
−0.497748 | + | 0.867322i | \(0.665840\pi\) | |||||||
\(174\) | 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 | \(-0.681157\pi\) | ||
0.538893 | − | 0.842374i | \(-0.318843\pi\) | |||||||
\(180\) | −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 | \(0.251437\pi\) | ||||
−0.703907 | + | 0.710293i | \(0.748563\pi\) | |||||||
\(192\) | −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 | \(-0.432560\pi\) | ||||
0.210287 | + | 0.977640i | \(0.432560\pi\) | |||||||
\(198\) | −7.04515 | + | 25.9816i | −0.500677 | + | 1.84644i | ||||
\(199\) | 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 | \(-0.521679\pi\) | ||||
−0.0680541 | + | 0.997682i | \(0.521679\pi\) | |||||||
\(228\) | 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 | ||||||||
\(231\) | −26.6803 | − | 1.15328i | −1.75544 | − | 0.0758806i | ||||
\(232\) | −37.3146 | −2.44982 | ||||||||
\(233\) | −10.9417 | −0.716814 | −0.358407 | − | 0.933565i | \(-0.616680\pi\) | ||||
−0.358407 | + | 0.933565i | \(0.616680\pi\) | |||||||
\(234\) | 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 | \(-0.751955\pi\) | ||||
−0.711436 | + | 0.702751i | \(0.751955\pi\) | |||||||
\(240\) | 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 | \(0.162884\pi\) | ||||
−0.871906 | + | 0.489673i | \(0.837116\pi\) | |||||||
\(252\) | 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 | \(-0.923848\pi\) | ||
0.971519 | − | 0.236963i | \(-0.0761520\pi\) | |||||||
\(258\) | −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 | \(-0.436976\pi\) | ||||
0.196703 | + | 0.980463i | \(0.436976\pi\) | |||||||
\(264\) | 2.22839 | − | 51.5520i | 0.137148 | − | 3.17281i | ||||
\(265\) | −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 | \(0.315931\pi\) | ||||
−0.546576 | + | 0.837409i | \(0.684069\pi\) | |||||||
\(270\) | 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 | \(-0.163742\pi\) | ||||
0.870583 | + | 0.492022i | \(0.163742\pi\) | |||||||
\(282\) | −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 | \(-0.665048\pi\) | ||||
−0.495589 | + | 0.868557i | \(0.665048\pi\) | |||||||
\(294\) | 66.7961 | + | 15.0486i | 3.89563 | + | 0.877654i | ||||
\(295\) | −13.4879 | −0.785294 | ||||||||
\(296\) | −81.4181 | −4.73233 | ||||||||
\(297\) | 8.05558 | − | 15.2351i | 0.467432 | − | 0.884029i | ||||
\(298\) | 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 | \(-0.963395\pi\) | ||
0.993395 | − | 0.114744i | \(-0.0366048\pi\) | |||||||
\(312\) | −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 | \(0.0382294\pi\) | ||||
−0.992797 | + | 0.119813i | \(0.961771\pi\) | |||||||
\(318\) | 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 | ||||||||
\(330\) | 37.2713 | + | 1.61109i | 2.05172 | + | 0.0886875i | ||||
\(331\) | −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 | \(-0.632692\pi\) | ||||
−0.404894 | + | 0.914364i | \(0.632692\pi\) | |||||||
\(348\) | 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 | \(0.176131\pi\) | ||||
−0.850779 | + | 0.525524i | \(0.823869\pi\) | |||||||
\(354\) | 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 | \(-0.631930\pi\) | ||||
−0.402704 | + | 0.915330i | \(0.631930\pi\) | |||||||
\(360\) | −27.7368 | + | 58.4329i | −1.46186 | + | 3.07969i | ||||
\(361\) | 18.1762 | 0.956643 | ||||||||
\(362\) | 6.62322 | 0.348109 | ||||||||
\(363\) | 18.8787 | − | 2.56795i | 0.990875 | − | 0.134783i | ||||
\(364\) | −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 | \(0.176356\pi\) | ||||
−0.850407 | + | 0.526125i | \(0.823644\pi\) | |||||||
\(384\) | −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 | \(0.0763463\pi\) | ||||
−0.971374 | + | 0.237556i | \(0.923654\pi\) | |||||||
\(390\) | −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 | ||||||||
\(396\) | −13.8531 | + | 51.0885i | −0.696144 | + | 2.56729i | ||||
\(397\) | 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 | \(0.00347713\pi\) | ||||
−0.999940 | + | 0.0109235i | \(0.996523\pi\) | |||||||
\(402\) | −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 | \(-0.545680\pi\) | ||
0.143017 | − | 0.989720i | \(-0.454320\pi\) | |||||||
\(420\) | −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 | ||||||||
\(429\) | −5.73920 | − | 0.248083i | −0.277091 | − | 0.0119776i | ||||
\(430\) | 43.6006 | 2.10261 | ||||||||
\(431\) | −18.9139 | −0.911049 | −0.455524 | − | 0.890223i | \(-0.650548\pi\) | ||||
−0.455524 | + | 0.890223i | \(0.650548\pi\) | |||||||
\(432\) | −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 | \(-0.855319\pi\) | ||
0.898468 | − | 0.439039i | \(-0.144681\pi\) | |||||||
\(444\) | 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 | \(0.227142\pi\) | ||||
−0.756019 | + | 0.654550i | \(0.772858\pi\) | |||||||
\(450\) | −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 | \(-0.500904\pi\) | ||||
−0.00284146 | + | 0.999996i | \(0.500904\pi\) | |||||||
\(462\) | −72.1850 | − | 3.12027i | −3.35835 | − | 0.145168i | ||||
\(463\) | −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 | \(-0.984812\pi\) | ||
0.998862 | − | 0.0476974i | \(-0.0151883\pi\) | |||||||
\(468\) | 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 | \(-0.644103\pi\) | ||||
−0.437408 | + | 0.899263i | \(0.644103\pi\) | |||||||
\(480\) | 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 | \(-0.387025\pi\) | ||||
0.347516 | + | 0.937674i | \(0.387025\pi\) | |||||||
\(492\) | 41.2344 | + | 9.28978i | 1.85899 | + | 0.418815i | ||||
\(493\) | 12.3326 | 0.555434 | ||||||||
\(494\) | 2.45562 | 0.110483 | ||||||||
\(495\) | −23.0504 | − | 6.25031i | −1.03604 | − | 0.280931i | ||||
\(496\) | −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 | \(-0.591476\pi\) | ||||
−0.283442 | + | 0.958989i | \(0.591476\pi\) | |||||||
\(504\) | 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 | \(0.0766631\pi\) | ||||
−0.971137 | + | 0.238523i | \(0.923337\pi\) | |||||||
\(510\) | −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 | \(0.0924307\pi\) | ||||
−0.958135 | + | 0.286316i | \(0.907569\pi\) | |||||||
\(522\) | −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 | ||||||||
\(528\) | 3.38942 | − | 78.4114i | 0.147505 | − | 3.41242i | ||||
\(529\) | 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 | \(-0.390450\pi\) | ||||
0.337409 | + | 0.941358i | \(0.390450\pi\) | |||||||
\(558\) | −19.3565 | − | 9.18808i | −0.819426 | − | 0.388963i | ||||
\(559\) | −6.71382 | −0.283964 | ||||||||
\(560\) | 152.452 | 6.44229 | ||||||||
\(561\) | −0.736493 | + | 17.0382i | −0.0310947 | + | 0.719352i | ||||
\(562\) | 78.9676 | 3.33105 | ||||||||
\(563\) | 25.5134 | 1.07526 | 0.537630 | − | 0.843181i | \(-0.319320\pi\) | ||||
0.537630 | + | 0.843181i | \(0.319320\pi\) | |||||||
\(564\) | −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 | \(-0.184358\pi\) | ||||
0.836913 | + | 0.547336i | \(0.184358\pi\) | |||||||
\(570\) | 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 | \(-0.951255\pi\) | ||
0.988297 | − | 0.152539i | \(-0.0487451\pi\) | |||||||
\(588\) | 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 | \(-0.433734\pi\) | ||||
0.206681 | + | 0.978408i | \(0.433734\pi\) | |||||||
\(594\) | 21.7948 | − | 41.2193i | 0.894250 | − | 1.69125i | ||||
\(595\) | −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 | \(0.0302863\pi\) | ||||
−0.995477 | + | 0.0950038i | \(0.969714\pi\) | |||||||
\(600\) | 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 | \(0.0777156\pi\) | ||||
−0.970343 | + | 0.241732i | \(0.922284\pi\) | |||||||
\(618\) | 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 | ||||||||
\(627\) | 5.20903 | + | 0.225166i | 0.208029 | + | 0.00899225i | ||||
\(628\) | 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 | \(-0.869348\pi\) | ||
0.916939 | − | 0.399027i | \(-0.130652\pi\) | |||||||
\(642\) | −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 | \(-0.815910\pi\) | ||
0.837374 | − | 0.546631i | \(-0.184090\pi\) | |||||||
\(648\) | 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 | \(0.239822\pi\) | ||||
−0.729351 | + | 0.684140i | \(0.760178\pi\) | |||||||
\(654\) | 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 | \(-0.952485\pi\) | ||||
−0.988879 | + | 0.148720i | \(0.952485\pi\) | |||||||
\(660\) | 73.2876 | + | 3.16793i | 2.85272 | + | 0.123312i | ||||
\(661\) | −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 | \(-0.713190\pi\) | ||||
−0.620795 | + | 0.783973i | \(0.713190\pi\) | |||||||
\(678\) | −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 | \(0.176352\pi\) | ||||
−0.850413 | + | 0.526116i | \(0.823648\pi\) | |||||||
\(684\) | −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 | ||||||||
\(693\) | 44.6427 | + | 12.1053i | 1.69584 | + | 0.459841i | ||||
\(694\) | −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 | \(-0.285688\pi\) | ||||
0.623554 | + | 0.781780i | \(0.285688\pi\) | |||||||
\(702\) | −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 | \(-0.828470\pi\) | ||
0.858285 | − | 0.513174i | \(-0.171530\pi\) | |||||||
\(720\) | −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 | ||||||||
\(726\) | 51.0773 | − | 6.94773i | 1.89566 | − | 0.257854i | ||||
\(727\) | 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 | \(-0.619088\pi\) | ||||
−0.365459 | + | 0.930827i | \(0.619088\pi\) | |||||||
\(744\) | 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 | ||||||||
\(759\) | 4.27998 | + | 0.185007i | 0.155353 | + | 0.00671531i | ||||
\(760\) | −19.5689 | −0.709838 | ||||||||
\(761\) | −35.0961 | −1.27223 | −0.636117 | − | 0.771593i | \(-0.719460\pi\) | ||||
−0.636117 | + | 0.771593i | \(0.719460\pi\) | |||||||
\(762\) | 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 | \(0.0484459\pi\) | ||||
−0.988440 | + | 0.151611i | \(0.951554\pi\) | |||||||
\(774\) | 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 | ||||||||
\(792\) | −23.3899 | + | 86.2591i | −0.831124 | + | 3.06509i | ||||
\(793\) | 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 | \(0.0428508\pi\) | ||||
−0.990952 | + | 0.134214i | \(0.957149\pi\) | |||||||
\(798\) | −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 | \(-0.628375\pi\) | ||||
−0.392457 | + | 0.919770i | \(0.628375\pi\) | |||||||
\(810\) | −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 | \(-0.380651\pi\) | ||||
0.366221 | + | 0.930528i | \(0.380651\pi\) | |||||||
\(822\) | −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 | ||||||||
\(825\) | −0.188910 | + | 4.37027i | −0.00657699 | + | 0.152153i | ||||
\(826\) | 70.6760 | 2.45913 | ||||||||
\(827\) | 11.5953 | 0.403209 | 0.201605 | − | 0.979467i | \(-0.435384\pi\) | ||||
0.201605 | + | 0.979467i | \(0.435384\pi\) | |||||||
\(828\) | −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 | \(0.0787543\pi\) | ||||
−0.969549 | + | 0.244897i | \(0.921246\pi\) | |||||||
\(840\) | −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 | \(-0.526926\pi\) | ||||
−0.0844895 | + | 0.996424i | \(0.526926\pi\) | |||||||
\(858\) | −15.5277 | − | 0.671201i | −0.530107 | − | 0.0229144i | ||||
\(859\) | −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 | \(0.0937805\pi\) | ||||
−0.956913 | + | 0.290376i | \(0.906220\pi\) | |||||||
\(864\) | −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 | \(-0.871746\pi\) | ||
0.919919 | − | 0.392107i | \(-0.128254\pi\) | |||||||
\(882\) | −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 | \(-0.504242\pi\) | ||||
−0.0133273 | + | 0.999911i | \(0.504242\pi\) | |||||||
\(888\) | 137.572 | + | 30.9939i | 4.61662 | + | 1.04009i | ||||
\(889\) | 50.6591 | 1.69905 | ||||||||
\(890\) | 44.7337 | 1.49948 | ||||||||
\(891\) | −19.4111 | + | 22.6761i | −0.650298 | + | 0.759680i | ||||
\(892\) | 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 | \(-0.959297\pi\) | ||
0.991836 | − | 0.127523i | \(-0.0407026\pi\) | |||||||
\(912\) | 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 | ||||||||
\(924\) | −141.939 | − | 6.13548i | −4.66946 | − | 0.201842i | ||||
\(925\) | 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 | \(0.285818\pi\) | ||||
−0.623236 | + | 0.782034i | \(0.714182\pi\) | |||||||
\(930\) | −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 | \(-0.529378\pi\) | ||||
−0.0921643 | + | 0.995744i | \(0.529378\pi\) | |||||||
\(942\) | −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 | \(0.0520094\pi\) | ||||
−0.986681 | + | 0.162666i | \(0.947991\pi\) | |||||||
\(948\) | −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 | \(-0.552373\pi\) | ||||
−0.163794 | + | 0.986495i | \(0.552373\pi\) | |||||||
\(954\) | −23.7245 | + | 49.9804i | −0.768110 | + | 1.61817i | ||||
\(955\) | −47.1250 | −1.52493 | ||||||||
\(956\) | −117.025 | −3.78484 | ||||||||
\(957\) | −1.03058 | + | 23.8416i | −0.0333139 | + | 0.770691i | ||||
\(958\) | −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 | \(-0.784435\pi\) | ||
0.779320 | − | 0.626626i | \(-0.215565\pi\) | |||||||
\(972\) | −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 | \(-0.974930\pi\) | ||
0.996900 | − | 0.0786799i | \(-0.0250705\pi\) | |||||||
\(978\) | 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 | \(0.202115\pi\) | ||||
−0.805093 | + | 0.593148i | \(0.797885\pi\) | |||||||
\(984\) | 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 | ||||||||
\(990\) | −62.3640 | − | 16.9105i | −1.98206 | − | 0.537452i | ||||
\(991\) | −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.131.47 | yes | 48 | |
3.2 | odd | 2 | inner | 429.2.f.a.131.2 | yes | 48 | |
11.10 | odd | 2 | inner | 429.2.f.a.131.1 | ✓ | 48 | |
33.32 | even | 2 | inner | 429.2.f.a.131.48 | yes | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
429.2.f.a.131.1 | ✓ | 48 | 11.10 | odd | 2 | inner | |
429.2.f.a.131.2 | yes | 48 | 3.2 | odd | 2 | inner | |
429.2.f.a.131.47 | yes | 48 | 1.1 | even | 1 | trivial | |
429.2.f.a.131.48 | yes | 48 | 33.32 | even | 2 | inner |