Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1386,2,Mod(989,1386)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1386, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 2, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1386.989");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1386 = 2 \cdot 3^{2} \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1386.ba (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(11.0672657201\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 989.13 | ||
Character | \(\chi\) | \(=\) | 1386.989 |
Dual form | 1386.2.ba.a.1187.13 |
$q$-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 \(\left(\mathbb{Z}/1386\mathbb{Z}\right)^\times\).
\(n\) | \(155\) | \(199\) | \(1135\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{3}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.500000 | + | 0.866025i | −0.353553 | + | 0.612372i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.500000 | − | 0.866025i | −0.250000 | − | 0.433013i | ||||
\(5\) | 1.87061 | + | 1.08000i | 0.836562 | + | 0.482990i | 0.856094 | − | 0.516820i | \(-0.172884\pi\) |
−0.0195319 | + | 0.999809i | \(0.506218\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −2.63666 | + | 0.219149i | −0.996564 | + | 0.0828306i | ||||
\(8\) | 1.00000 | 0.353553 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −1.87061 | + | 1.08000i | −0.591539 | + | 0.341525i | ||||
\(11\) | 3.25136 | − | 0.654737i | 0.980321 | − | 0.197411i | ||||
\(12\) | 0 | 0 | ||||||||
\(13\) | − | 3.53956i | − | 0.981698i | −0.871245 | − | 0.490849i | \(-0.836687\pi\) | ||
0.871245 | − | 0.490849i | \(-0.163313\pi\) | |||||||
\(14\) | 1.12854 | − | 2.39299i | 0.301615 | − | 0.639553i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.500000 | + | 0.866025i | −0.125000 | + | 0.216506i | ||||
\(17\) | −3.82953 | − | 6.63294i | −0.928798 | − | 1.60873i | −0.785336 | − | 0.619069i | \(-0.787510\pi\) |
−0.143461 | − | 0.989656i | \(-0.545823\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −1.66946 | − | 0.963864i | −0.383001 | − | 0.221126i | 0.296122 | − | 0.955150i | \(-0.404306\pi\) |
−0.679123 | + | 0.734024i | \(0.737640\pi\) | |||||||
\(20\) | − | 2.15999i | − | 0.482990i | ||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −1.05866 | + | 3.14313i | −0.225707 | + | 0.670117i | ||||
\(23\) | −7.21952 | − | 4.16819i | −1.50537 | − | 0.869128i | −0.999981 | − | 0.00623916i | \(-0.998014\pi\) |
−0.505394 | − | 0.862889i | \(-0.668653\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.167211 | − | 0.289618i | −0.0334422 | − | 0.0579236i | ||||
\(26\) | 3.06535 | + | 1.76978i | 0.601165 | + | 0.347083i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 1.50812 | + | 2.17384i | 0.285008 | + | 0.410817i | ||||
\(29\) | −4.79594 | −0.890584 | −0.445292 | − | 0.895385i | \(-0.646900\pi\) | ||||
−0.445292 | + | 0.895385i | \(0.646900\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 2.97154 | + | 5.14685i | 0.533704 | + | 0.924402i | 0.999225 | + | 0.0393651i | \(0.0125335\pi\) |
−0.465521 | + | 0.885037i | \(0.654133\pi\) | |||||||
\(32\) | −0.500000 | − | 0.866025i | −0.0883883 | − | 0.153093i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 7.65906 | 1.31352 | ||||||||
\(35\) | −5.16884 | − | 2.43764i | −0.873694 | − | 0.412037i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −1.55673 | + | 2.69634i | −0.255926 | + | 0.443276i | −0.965147 | − | 0.261710i | \(-0.915714\pi\) |
0.709221 | + | 0.704986i | \(0.249047\pi\) | |||||||
\(38\) | 1.66946 | − | 0.963864i | 0.270822 | − | 0.156359i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 1.87061 | + | 1.08000i | 0.295769 | + | 0.170763i | ||||
\(41\) | 9.00600 | 1.40650 | 0.703251 | − | 0.710942i | \(-0.251731\pi\) | ||||
0.703251 | + | 0.710942i | \(0.251731\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 2.48924i | 0.379605i | 0.981822 | + | 0.189803i | \(0.0607848\pi\) | ||||
−0.981822 | + | 0.189803i | \(0.939215\pi\) | |||||||
\(44\) | −2.19270 | − | 2.48839i | −0.330562 | − | 0.375139i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 7.21952 | − | 4.16819i | 1.06446 | − | 0.614566i | ||||
\(47\) | −7.34212 | − | 4.23898i | −1.07096 | − | 0.618318i | −0.142515 | − | 0.989793i | \(-0.545519\pi\) |
−0.928443 | + | 0.371474i | \(0.878852\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 6.90395 | − | 1.15564i | 0.986278 | − | 0.165092i | ||||
\(50\) | 0.334422 | 0.0472945 | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −3.06535 | + | 1.76978i | −0.425088 | + | 0.245424i | ||||
\(53\) | 4.83344 | − | 2.79059i | 0.663923 | − | 0.383316i | −0.129847 | − | 0.991534i | \(-0.541449\pi\) |
0.793770 | + | 0.608218i | \(0.208115\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 6.78914 | + | 2.28670i | 0.915447 | + | 0.308338i | ||||
\(56\) | −2.63666 | + | 0.219149i | −0.352338 | + | 0.0292850i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 2.39797 | − | 4.15341i | 0.314869 | − | 0.545369i | ||||
\(59\) | 3.95479 | − | 2.28330i | 0.514870 | − | 0.297260i | −0.219963 | − | 0.975508i | \(-0.570594\pi\) |
0.734833 | + | 0.678248i | \(0.237260\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −9.71354 | − | 5.60811i | −1.24369 | − | 0.718045i | −0.273847 | − | 0.961773i | \(-0.588296\pi\) |
−0.969844 | + | 0.243728i | \(0.921630\pi\) | |||||||
\(62\) | −5.94307 | −0.754771 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | 3.82272 | − | 6.62114i | 0.474150 | − | 0.821252i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 1.46173 | + | 2.53179i | 0.178578 | + | 0.309307i | 0.941394 | − | 0.337309i | \(-0.109517\pi\) |
−0.762815 | + | 0.646616i | \(0.776183\pi\) | |||||||
\(68\) | −3.82953 | + | 6.63294i | −0.464399 | + | 0.804363i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 4.69548 | − | 3.25753i | 0.561217 | − | 0.389349i | ||||
\(71\) | − | 14.9539i | − | 1.77470i | −0.461093 | − | 0.887352i | \(-0.652542\pi\) | ||
0.461093 | − | 0.887352i | \(-0.347458\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −0.486281 | + | 0.280755i | −0.0569149 | + | 0.0328598i | −0.528187 | − | 0.849128i | \(-0.677128\pi\) |
0.471273 | + | 0.881988i | \(0.343795\pi\) | |||||||
\(74\) | −1.55673 | − | 2.69634i | −0.180967 | − | 0.313444i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 1.92773i | 0.221126i | ||||||||
\(77\) | −8.42924 | + | 2.43885i | −0.960600 | + | 0.277933i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −6.63288 | − | 3.82950i | −0.746258 | − | 0.430852i | 0.0780826 | − | 0.996947i | \(-0.475120\pi\) |
−0.824340 | + | 0.566095i | \(0.808454\pi\) | |||||||
\(80\) | −1.87061 | + | 1.08000i | −0.209141 | + | 0.120747i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −4.50300 | + | 7.79943i | −0.497273 | + | 0.861303i | ||||
\(83\) | 8.45117 | 0.927637 | 0.463818 | − | 0.885930i | \(-0.346479\pi\) | ||||
0.463818 | + | 0.885930i | \(0.346479\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | − | 16.5435i | − | 1.79440i | ||||||
\(86\) | −2.15574 | − | 1.24462i | −0.232460 | − | 0.134211i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 3.25136 | − | 0.654737i | 0.346596 | − | 0.0697952i | ||||
\(89\) | 0.609275 | + | 0.351765i | 0.0645830 | + | 0.0372870i | 0.531944 | − | 0.846780i | \(-0.321462\pi\) |
−0.467361 | + | 0.884067i | \(0.654795\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0.775692 | + | 9.33262i | 0.0813146 | + | 0.978324i | ||||
\(92\) | 8.33638i | 0.869128i | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 7.34212 | − | 4.23898i | 0.757282 | − | 0.437217i | ||||
\(95\) | −2.08194 | − | 3.60603i | −0.213603 | − | 0.369971i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −1.23783 | −0.125682 | −0.0628412 | − | 0.998024i | \(-0.520016\pi\) | ||||
−0.0628412 | + | 0.998024i | \(0.520016\pi\) | |||||||
\(98\) | −2.45116 | + | 6.55682i | −0.247604 | + | 0.662338i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −0.167211 | + | 0.289618i | −0.0167211 | + | 0.0289618i | ||||
\(101\) | 1.57357 | + | 2.72549i | 0.156576 | + | 0.271197i | 0.933632 | − | 0.358235i | \(-0.116621\pi\) |
−0.777056 | + | 0.629431i | \(0.783288\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −0.118651 | + | 0.205510i | −0.0116911 | + | 0.0202495i | −0.871812 | − | 0.489841i | \(-0.837055\pi\) |
0.860121 | + | 0.510091i | \(0.170388\pi\) | |||||||
\(104\) | − | 3.53956i | − | 0.347083i | ||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 5.58117i | 0.542091i | ||||||||
\(107\) | −5.40857 | + | 9.36792i | −0.522866 | + | 0.905631i | 0.476780 | + | 0.879023i | \(0.341804\pi\) |
−0.999646 | + | 0.0266081i | \(0.991529\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 3.77972 | − | 2.18222i | 0.362032 | − | 0.209019i | −0.307940 | − | 0.951406i | \(-0.599640\pi\) |
0.669972 | + | 0.742387i | \(0.266306\pi\) | |||||||
\(110\) | −5.37491 | + | 4.73621i | −0.512477 | + | 0.451580i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 1.12854 | − | 2.39299i | 0.106637 | − | 0.226116i | ||||
\(113\) | − | 17.7468i | − | 1.66948i | −0.550648 | − | 0.834738i | \(-0.685619\pi\) | ||
0.550648 | − | 0.834738i | \(-0.314381\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −9.00327 | − | 15.5941i | −0.839560 | − | 1.45416i | ||||
\(116\) | 2.39797 | + | 4.15341i | 0.222646 | + | 0.385634i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 4.56660i | 0.420389i | ||||||||
\(119\) | 11.5508 | + | 16.6496i | 1.05886 | + | 1.52626i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 10.1426 | − | 4.25757i | 0.922058 | − | 0.387052i | ||||
\(122\) | 9.71354 | − | 5.60811i | 0.879422 | − | 0.507735i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 2.97154 | − | 5.14685i | 0.266852 | − | 0.462201i | ||||
\(125\) | − | 11.5223i | − | 1.03059i | ||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 12.6515i | 1.12264i | 0.827598 | + | 0.561322i | \(0.189707\pi\) | ||||
−0.827598 | + | 0.561322i | \(0.810293\pi\) | |||||||
\(128\) | −0.500000 | + | 0.866025i | −0.0441942 | + | 0.0765466i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 3.82272 | + | 6.62114i | 0.335275 | + | 0.580713i | ||||
\(131\) | −1.52954 | + | 2.64924i | −0.133637 | + | 0.231466i | −0.925076 | − | 0.379782i | \(-0.875999\pi\) |
0.791439 | + | 0.611248i | \(0.209332\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 4.61303 | + | 2.17552i | 0.400001 | + | 0.188642i | ||||
\(134\) | −2.92346 | −0.252548 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −3.82953 | − | 6.63294i | −0.328380 | − | 0.568770i | ||||
\(137\) | −6.20778 | + | 3.58406i | −0.530366 | + | 0.306207i | −0.741166 | − | 0.671322i | \(-0.765727\pi\) |
0.210799 | + | 0.977529i | \(0.432393\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 2.77438i | 0.235320i | 0.993054 | + | 0.117660i | \(0.0375393\pi\) | ||||
−0.993054 | + | 0.117660i | \(0.962461\pi\) | |||||||
\(140\) | 0.473361 | + | 5.69517i | 0.0400063 | + | 0.481330i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 12.9505 | + | 7.47696i | 1.08678 | + | 0.627453i | ||||
\(143\) | −2.31748 | − | 11.5084i | −0.193798 | − | 0.962379i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −8.97134 | − | 5.17960i | −0.745029 | − | 0.430143i | ||||
\(146\) | − | 0.561509i | − | 0.0464708i | ||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 3.11347 | 0.255926 | ||||||||
\(149\) | 11.7155 | − | 20.2918i | 0.959770 | − | 1.66237i | 0.236716 | − | 0.971579i | \(-0.423929\pi\) |
0.723054 | − | 0.690792i | \(-0.242738\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 7.98285 | − | 4.60890i | 0.649635 | − | 0.375067i | −0.138681 | − | 0.990337i | \(-0.544286\pi\) |
0.788317 | + | 0.615270i | \(0.210953\pi\) | |||||||
\(152\) | −1.66946 | − | 0.963864i | −0.135411 | − | 0.0781797i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 2.10251 | − | 8.51936i | 0.169425 | − | 0.686509i | ||||
\(155\) | 12.8370i | 1.03109i | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −11.5804 | − | 20.0579i | −0.924218 | − | 1.60079i | −0.792814 | − | 0.609463i | \(-0.791385\pi\) |
−0.131403 | − | 0.991329i | \(-0.541948\pi\) | |||||||
\(158\) | 6.63288 | − | 3.82950i | 0.527684 | − | 0.304658i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | − | 2.15999i | − | 0.170763i | ||||||
\(161\) | 19.9489 | + | 9.40795i | 1.57219 | + | 0.741450i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −9.30376 | + | 16.1146i | −0.728727 | + | 1.26219i | 0.228695 | + | 0.973498i | \(0.426554\pi\) |
−0.957422 | + | 0.288693i | \(0.906779\pi\) | |||||||
\(164\) | −4.50300 | − | 7.79943i | −0.351625 | − | 0.609033i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −4.22559 | + | 7.31893i | −0.327969 | + | 0.568059i | ||||
\(167\) | 21.3908 | 1.65527 | 0.827636 | − | 0.561265i | \(-0.189685\pi\) | ||||
0.827636 | + | 0.561265i | \(0.189685\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 0.471500 | 0.0362692 | ||||||||
\(170\) | 14.3271 | + | 8.27177i | 1.09884 | + | 0.634416i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 2.15574 | − | 1.24462i | 0.164374 | − | 0.0949013i | ||||
\(173\) | 0.430083 | − | 0.744926i | 0.0326986 | − | 0.0566356i | −0.849213 | − | 0.528050i | \(-0.822923\pi\) |
0.881912 | + | 0.471415i | \(0.156257\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0.504349 | + | 0.726981i | 0.0381252 | + | 0.0549546i | ||||
\(176\) | −1.05866 | + | 3.14313i | −0.0797994 | + | 0.236922i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −0.609275 | + | 0.351765i | −0.0456671 | + | 0.0263659i | ||||
\(179\) | −9.01762 | + | 5.20633i | −0.674009 | + | 0.389139i | −0.797594 | − | 0.603195i | \(-0.793894\pi\) |
0.123585 | + | 0.992334i | \(0.460561\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −7.02598 | −0.522237 | −0.261118 | − | 0.965307i | \(-0.584091\pi\) | ||||
−0.261118 | + | 0.965307i | \(0.584091\pi\) | |||||||
\(182\) | −8.47013 | − | 3.99454i | −0.627848 | − | 0.296095i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −7.21952 | − | 4.16819i | −0.532230 | − | 0.307283i | ||||
\(185\) | −5.82409 | + | 3.36254i | −0.428196 | + | 0.247219i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −16.7940 | − | 19.0587i | −1.22810 | − | 1.39371i | ||||
\(188\) | 8.47795i | 0.618318i | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 4.16388 | 0.302080 | ||||||||
\(191\) | 4.03039 | + | 2.32695i | 0.291629 | + | 0.168372i | 0.638676 | − | 0.769476i | \(-0.279482\pi\) |
−0.347047 | + | 0.937848i | \(0.612816\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 13.5837 | − | 7.84257i | 0.977778 | − | 0.564521i | 0.0761796 | − | 0.997094i | \(-0.475728\pi\) |
0.901599 | + | 0.432574i | \(0.142394\pi\) | |||||||
\(194\) | 0.618915 | − | 1.07199i | 0.0444355 | − | 0.0769645i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −4.45279 | − | 5.40117i | −0.318056 | − | 0.385798i | ||||
\(197\) | −6.39141 | −0.455369 | −0.227684 | − | 0.973735i | \(-0.573115\pi\) | ||||
−0.227684 | + | 0.973735i | \(0.573115\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 12.8469 | + | 22.2515i | 0.910694 | + | 1.57737i | 0.813086 | + | 0.582144i | \(0.197786\pi\) |
0.0976086 | + | 0.995225i | \(0.468881\pi\) | |||||||
\(200\) | −0.167211 | − | 0.289618i | −0.0118236 | − | 0.0204791i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −3.14713 | −0.221431 | ||||||||
\(203\) | 12.6453 | − | 1.05103i | 0.887524 | − | 0.0737676i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 16.8467 | + | 9.72646i | 1.17663 | + | 0.679326i | ||||
\(206\) | −0.118651 | − | 0.205510i | −0.00826683 | − | 0.0143186i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 3.06535 | + | 1.76978i | 0.212544 | + | 0.122712i | ||||
\(209\) | −6.05909 | − | 2.04081i | −0.419116 | − | 0.141166i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 16.6604i | 1.14695i | 0.819224 | + | 0.573474i | \(0.194405\pi\) | ||||
−0.819224 | + | 0.573474i | \(0.805595\pi\) | |||||||
\(212\) | −4.83344 | − | 2.79059i | −0.331962 | − | 0.191658i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −5.40857 | − | 9.36792i | −0.369722 | − | 0.640378i | ||||
\(215\) | −2.68837 | + | 4.65639i | −0.183345 | + | 0.317563i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −8.96286 | − | 12.9193i | −0.608438 | − | 0.877018i | ||||
\(218\) | 4.36445i | 0.295598i | ||||||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −1.41423 | − | 7.02291i | −0.0953473 | − | 0.473485i | ||||
\(221\) | −23.4777 | + | 13.5549i | −1.57928 | + | 0.911799i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 9.81557 | 0.657299 | 0.328650 | − | 0.944452i | \(-0.393406\pi\) | ||||
0.328650 | + | 0.944452i | \(0.393406\pi\) | |||||||
\(224\) | 1.50812 | + | 2.17384i | 0.100765 | + | 0.145246i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 15.3691 | + | 8.87338i | 1.02234 | + | 0.590249i | ||||
\(227\) | 5.08719 | + | 8.81128i | 0.337649 | + | 0.584825i | 0.983990 | − | 0.178224i | \(-0.0570350\pi\) |
−0.646341 | + | 0.763049i | \(0.723702\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −13.3669 | + | 23.1522i | −0.883310 | + | 1.52994i | −0.0356712 | + | 0.999364i | \(0.511357\pi\) |
−0.847639 | + | 0.530574i | \(0.821976\pi\) | |||||||
\(230\) | 18.0065 | 1.18732 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −4.79594 | −0.314869 | ||||||||
\(233\) | −2.09943 | + | 3.63631i | −0.137538 | + | 0.238223i | −0.926564 | − | 0.376137i | \(-0.877252\pi\) |
0.789026 | + | 0.614360i | \(0.210586\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −9.15617 | − | 15.8589i | −0.597283 | − | 1.03452i | ||||
\(236\) | −3.95479 | − | 2.28330i | −0.257435 | − | 0.148630i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −20.1943 | + | 1.67848i | −1.30900 | + | 0.108800i | ||||
\(239\) | −19.4583 | −1.25865 | −0.629326 | − | 0.777141i | \(-0.716669\pi\) | ||||
−0.629326 | + | 0.777141i | \(0.716669\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 4.53621 | − | 2.61898i | 0.292203 | − | 0.168704i | −0.346732 | − | 0.937964i | \(-0.612709\pi\) |
0.638935 | + | 0.769261i | \(0.279375\pi\) | |||||||
\(242\) | −1.38416 | + | 10.9126i | −0.0889770 | + | 0.701486i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 11.2162i | 0.718045i | ||||||||
\(245\) | 14.1627 | + | 5.29449i | 0.904821 | + | 0.338252i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −3.41166 | + | 5.90916i | −0.217079 | + | 0.375991i | ||||
\(248\) | 2.97154 | + | 5.14685i | 0.188693 | + | 0.326825i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 9.97863 | + | 5.76116i | 0.631104 | + | 0.364368i | ||||
\(251\) | 17.2995i | 1.09193i | 0.837807 | + | 0.545967i | \(0.183838\pi\) | ||||
−0.837807 | + | 0.545967i | \(0.816162\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −26.2023 | − | 8.82539i | −1.64732 | − | 0.554848i | ||||
\(254\) | −10.9566 | − | 6.32577i | −0.687476 | − | 0.396914i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | 22.9253 | + | 13.2359i | 1.43004 | + | 0.825635i | 0.997123 | − | 0.0757980i | \(-0.0241504\pi\) |
0.432919 | + | 0.901433i | \(0.357484\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 3.51368 | − | 7.45050i | 0.218329 | − | 0.462951i | ||||
\(260\) | −7.64544 | −0.474150 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −1.52954 | − | 2.64924i | −0.0944954 | − | 0.163671i | ||||
\(263\) | −6.30039 | − | 10.9126i | −0.388499 | − | 0.672900i | 0.603749 | − | 0.797175i | \(-0.293673\pi\) |
−0.992248 | + | 0.124275i | \(0.960340\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 12.0553 | 0.740551 | ||||||||
\(266\) | −4.19057 | + | 2.90724i | −0.256940 | + | 0.178254i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 1.46173 | − | 2.53179i | 0.0892892 | − | 0.154653i | ||||
\(269\) | −16.2413 | + | 9.37693i | −0.990251 | + | 0.571722i | −0.905349 | − | 0.424668i | \(-0.860391\pi\) |
−0.0849016 | + | 0.996389i | \(0.527058\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 3.87768 | + | 2.23878i | 0.235552 | + | 0.135996i | 0.613131 | − | 0.789981i | \(-0.289910\pi\) |
−0.377579 | + | 0.925978i | \(0.623243\pi\) | |||||||
\(272\) | 7.65906 | 0.464399 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | − | 7.16812i | − | 0.433042i | ||||||
\(275\) | −0.733287 | − | 0.832173i | −0.0442189 | − | 0.0501819i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −8.09768 | + | 4.67520i | −0.486543 | + | 0.280905i | −0.723139 | − | 0.690703i | \(-0.757301\pi\) |
0.236596 | + | 0.971608i | \(0.423968\pi\) | |||||||
\(278\) | −2.40268 | − | 1.38719i | −0.144103 | − | 0.0831981i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −5.16884 | − | 2.43764i | −0.308897 | − | 0.145677i | ||||
\(281\) | 23.8976 | 1.42561 | 0.712807 | − | 0.701361i | \(-0.247424\pi\) | ||||
0.712807 | + | 0.701361i | \(0.247424\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −15.6461 | + | 9.03326i | −0.930063 | + | 0.536972i | −0.886831 | − | 0.462093i | \(-0.847099\pi\) |
−0.0432312 | + | 0.999065i | \(0.513765\pi\) | |||||||
\(284\) | −12.9505 | + | 7.47696i | −0.768469 | + | 0.443676i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 11.1253 | + | 3.74719i | 0.657852 | + | 0.221576i | ||||
\(287\) | −23.7458 | + | 1.97366i | −1.40167 | + | 0.116501i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −20.8306 | + | 36.0797i | −1.22533 | + | 2.12234i | ||||
\(290\) | 8.97134 | − | 5.17960i | 0.526815 | − | 0.304157i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 0.486281 | + | 0.280755i | 0.0284574 | + | 0.0164299i | ||||
\(293\) | 16.3262 | 0.953785 | 0.476893 | − | 0.878962i | \(-0.341763\pi\) | ||||
0.476893 | + | 0.878962i | \(0.341763\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 9.86383 | 0.574294 | ||||||||
\(296\) | −1.55673 | + | 2.69634i | −0.0904834 | + | 0.156722i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 11.7155 | + | 20.2918i | 0.678660 | + | 1.17547i | ||||
\(299\) | −14.7536 | + | 25.5539i | −0.853221 | + | 1.47782i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −0.545514 | − | 6.56327i | −0.0314429 | − | 0.378301i | ||||
\(302\) | 9.21781i | 0.530425i | ||||||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 1.66946 | − | 0.963864i | 0.0957502 | − | 0.0552814i | ||||
\(305\) | −12.1135 | − | 20.9812i | −0.693617 | − | 1.20138i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 6.91177i | 0.394476i | 0.980356 | + | 0.197238i | \(0.0631971\pi\) | ||||
−0.980356 | + | 0.197238i | \(0.936803\pi\) | |||||||
\(308\) | 6.32672 | + | 6.08051i | 0.360499 | + | 0.346469i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −11.1172 | − | 6.41850i | −0.631413 | − | 0.364546i | ||||
\(311\) | −0.717875 | + | 0.414465i | −0.0407069 | + | 0.0235022i | −0.520215 | − | 0.854035i | \(-0.674148\pi\) |
0.479508 | + | 0.877537i | \(0.340815\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 8.66175 | − | 15.0026i | 0.489591 | − | 0.847996i | −0.510337 | − | 0.859974i | \(-0.670479\pi\) |
0.999928 | + | 0.0119780i | \(0.00381282\pi\) | |||||||
\(314\) | 23.1608 | 1.30704 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 7.65899i | 0.430852i | ||||||||
\(317\) | −24.1286 | − | 13.9306i | −1.35520 | − | 0.782423i | −0.366224 | − | 0.930527i | \(-0.619350\pi\) |
−0.988972 | + | 0.148104i | \(0.952683\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −15.5933 | + | 3.14008i | −0.873058 | + | 0.175811i | ||||
\(320\) | 1.87061 | + | 1.08000i | 0.104570 | + | 0.0603737i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −18.1220 | + | 12.5723i | −1.00990 | + | 0.700624i | ||||
\(323\) | 14.7646i | 0.821524i | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −1.02512 | + | 0.591854i | −0.0568635 | + | 0.0328302i | ||||
\(326\) | −9.30376 | − | 16.1146i | −0.515288 | − | 0.892504i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 9.00600 | 0.497273 | ||||||||
\(329\) | 20.2876 | + | 9.56772i | 1.11849 | + | 0.527485i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 2.76388 | − | 4.78718i | 0.151916 | − | 0.263127i | −0.780015 | − | 0.625760i | \(-0.784789\pi\) |
0.931932 | + | 0.362633i | \(0.118122\pi\) | |||||||
\(332\) | −4.22559 | − | 7.31893i | −0.231909 | − | 0.401679i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −10.6954 | + | 18.5250i | −0.585227 | + | 1.01364i | ||||
\(335\) | 6.31465i | 0.345006i | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | − | 23.7409i | − | 1.29325i | −0.762809 | − | 0.646624i | \(-0.776180\pi\) | ||
0.762809 | − | 0.646624i | \(-0.223820\pi\) | |||||||
\(338\) | −0.235750 | + | 0.408331i | −0.0128231 | + | 0.0222103i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −14.3271 | + | 8.27177i | −0.776997 | + | 0.448600i | ||||
\(341\) | 13.0314 | + | 14.7887i | 0.705688 | + | 0.800852i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −17.9501 | + | 4.56003i | −0.969214 | + | 0.246219i | ||||
\(344\) | 2.48924i | 0.134211i | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 0.430083 | + | 0.744926i | 0.0231214 | + | 0.0400475i | ||||
\(347\) | −10.1900 | − | 17.6496i | −0.547027 | − | 0.947478i | −0.998476 | − | 0.0551813i | \(-0.982426\pi\) |
0.451450 | − | 0.892297i | \(-0.350907\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 11.3460i | 0.607338i | 0.952778 | + | 0.303669i | \(0.0982118\pi\) | ||||
−0.952778 | + | 0.303669i | \(0.901788\pi\) | |||||||
\(350\) | −0.881758 | + | 0.0732884i | −0.0471319 | + | 0.00391743i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −2.19270 | − | 2.48839i | −0.116871 | − | 0.132632i | ||||
\(353\) | −8.88905 | + | 5.13209i | −0.473116 | + | 0.273154i | −0.717543 | − | 0.696514i | \(-0.754733\pi\) |
0.244427 | + | 0.969668i | \(0.421400\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 16.1502 | − | 27.9730i | 0.857163 | − | 1.48465i | ||||
\(356\) | − | 0.703530i | − | 0.0372870i | ||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | − | 10.4127i | − | 0.550326i | ||||||
\(359\) | 8.12523 | − | 14.0733i | 0.428833 | − | 0.742761i | −0.567937 | − | 0.823072i | \(-0.692258\pi\) |
0.996770 | + | 0.0803116i | \(0.0255915\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −7.64193 | − | 13.2362i | −0.402207 | − | 0.696643i | ||||
\(362\) | 3.51299 | − | 6.08468i | 0.184639 | − | 0.319803i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 7.69444 | − | 5.33808i | 0.403298 | − | 0.279791i | ||||
\(365\) | −1.21286 | −0.0634838 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −18.3681 | − | 31.8145i | −0.958808 | − | 1.66070i | −0.725402 | − | 0.688326i | \(-0.758346\pi\) |
−0.233407 | − | 0.972379i | \(-0.574987\pi\) | |||||||
\(368\) | 7.21952 | − | 4.16819i | 0.376344 | − | 0.217282i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | − | 6.72508i | − | 0.349620i | ||||||
\(371\) | −12.1326 | + | 8.41707i | −0.629892 | + | 0.436992i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 0.721045 | + | 0.416295i | 0.0373343 | + | 0.0215550i | 0.518551 | − | 0.855047i | \(-0.326472\pi\) |
−0.481217 | + | 0.876602i | \(0.659805\pi\) | |||||||
\(374\) | 24.9023 | − | 5.01467i | 1.28767 | − | 0.259303i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −7.34212 | − | 4.23898i | −0.378641 | − | 0.218609i | ||||
\(377\) | 16.9755i | 0.874284i | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −35.9823 | −1.84829 | −0.924143 | − | 0.382047i | \(-0.875219\pi\) | ||||
−0.924143 | + | 0.382047i | \(0.875219\pi\) | |||||||
\(380\) | −2.08194 | + | 3.60603i | −0.106801 | + | 0.184985i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −4.03039 | + | 2.32695i | −0.206213 | + | 0.119057i | ||||
\(383\) | −1.51172 | − | 0.872794i | −0.0772454 | − | 0.0445977i | 0.460880 | − | 0.887463i | \(-0.347534\pi\) |
−0.538125 | + | 0.842865i | \(0.680867\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −18.4018 | − | 4.54141i | −0.937841 | − | 0.231452i | ||||
\(386\) | 15.6851i | 0.798353i | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 0.618915 | + | 1.07199i | 0.0314206 | + | 0.0544221i | ||||
\(389\) | 19.9922 | − | 11.5425i | 1.01364 | − | 0.585228i | 0.101388 | − | 0.994847i | \(-0.467672\pi\) |
0.912257 | + | 0.409619i | \(0.134338\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 63.8489i | 3.22898i | ||||||||
\(392\) | 6.90395 | − | 1.15564i | 0.348702 | − | 0.0583688i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 3.19570 | − | 5.53512i | 0.160997 | − | 0.278855i | ||||
\(395\) | −8.27169 | − | 14.3270i | −0.416194 | − | 0.720869i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −3.99083 | + | 6.91231i | −0.200294 | + | 0.346919i | −0.948623 | − | 0.316408i | \(-0.897523\pi\) |
0.748329 | + | 0.663327i | \(0.230856\pi\) | |||||||
\(398\) | −25.6938 | −1.28792 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 0.334422 | 0.0167211 | ||||||||
\(401\) | 8.88905 | + | 5.13209i | 0.443898 | + | 0.256285i | 0.705250 | − | 0.708959i | \(-0.250835\pi\) |
−0.261352 | + | 0.965244i | \(0.584168\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 18.2176 | − | 10.5179i | 0.907483 | − | 0.523936i | ||||
\(404\) | 1.57357 | − | 2.72549i | 0.0782878 | − | 0.135598i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −5.41242 | + | 11.4766i | −0.268614 | + | 0.569576i | ||||
\(407\) | −3.29610 | + | 9.78603i | −0.163382 | + | 0.485075i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 6.14427 | − | 3.54740i | 0.303815 | − | 0.175407i | −0.340341 | − | 0.940302i | \(-0.610542\pi\) |
0.644155 | + | 0.764895i | \(0.277209\pi\) | |||||||
\(410\) | −16.8467 | + | 9.72646i | −0.832001 | + | 0.480356i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 0.237303 | 0.0116911 | ||||||||
\(413\) | −9.92705 | + | 6.88697i | −0.488478 | + | 0.338886i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 15.8089 | + | 9.12725i | 0.776026 | + | 0.448039i | ||||
\(416\) | −3.06535 | + | 1.76978i | −0.150291 | + | 0.0867707i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 4.79694 | − | 4.22692i | 0.234626 | − | 0.206746i | ||||
\(419\) | − | 20.6094i | − | 1.00684i | −0.864043 | − | 0.503418i | \(-0.832076\pi\) | ||
0.864043 | − | 0.503418i | \(-0.167924\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 0.107995 | 0.00526337 | 0.00263169 | − | 0.999997i | \(-0.499162\pi\) | ||||
0.00263169 | + | 0.999997i | \(0.499162\pi\) | |||||||
\(422\) | −14.4283 | − | 8.33019i | −0.702359 | − | 0.405507i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 4.83344 | − | 2.79059i | 0.234732 | − | 0.135523i | ||||
\(425\) | −1.28068 | + | 2.21820i | −0.0621221 | + | 0.107599i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 26.8403 | + | 12.6580i | 1.29889 | + | 0.612562i | ||||
\(428\) | 10.8171 | 0.522866 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −2.68837 | − | 4.65639i | −0.129645 | − | 0.224551i | ||||
\(431\) | −20.2561 | − | 35.0846i | −0.975702 | − | 1.68997i | −0.677598 | − | 0.735433i | \(-0.736979\pi\) |
−0.298105 | − | 0.954533i | \(-0.596354\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −3.27124 | −0.157206 | −0.0786028 | − | 0.996906i | \(-0.525046\pi\) | ||||
−0.0786028 | + | 0.996906i | \(0.525046\pi\) | |||||||
\(434\) | 15.6699 | − | 1.30242i | 0.752177 | − | 0.0625181i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −3.77972 | − | 2.18222i | −0.181016 | − | 0.104510i | ||||
\(437\) | 8.03514 | + | 13.9173i | 0.384373 | + | 0.665753i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 5.95716 | + | 3.43937i | 0.284320 | + | 0.164152i | 0.635377 | − | 0.772202i | \(-0.280845\pi\) |
−0.351058 | + | 0.936354i | \(0.614178\pi\) | |||||||
\(440\) | 6.78914 | + | 2.28670i | 0.323659 | + | 0.109014i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | − | 27.1097i | − | 1.28948i | ||||||
\(443\) | 5.64003 | + | 3.25627i | 0.267966 | + | 0.154710i | 0.627963 | − | 0.778243i | \(-0.283889\pi\) |
−0.359997 | + | 0.932953i | \(0.617222\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 0.759811 | + | 1.31603i | 0.0360185 | + | 0.0623858i | ||||
\(446\) | −4.90779 | + | 8.50054i | −0.232390 | + | 0.402512i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −2.63666 | + | 0.219149i | −0.124570 | + | 0.0103538i | ||||
\(449\) | − | 13.3141i | − | 0.628331i | −0.949368 | − | 0.314165i | \(-0.898275\pi\) | ||
0.949368 | − | 0.314165i | \(-0.101725\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 29.2817 | − | 5.89657i | 1.37882 | − | 0.277658i | ||||
\(452\) | −15.3691 | + | 8.87338i | −0.722904 | + | 0.417369i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −10.1744 | −0.477508 | ||||||||
\(455\) | −8.62819 | + | 18.2954i | −0.404496 | + | 0.857704i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −22.5222 | − | 13.0032i | −1.05354 | − | 0.608263i | −0.129904 | − | 0.991527i | \(-0.541467\pi\) |
−0.923639 | + | 0.383264i | \(0.874800\pi\) | |||||||
\(458\) | −13.3669 | − | 23.1522i | −0.624594 | − | 1.08183i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −9.00327 | + | 15.5941i | −0.419780 | + | 0.727080i | ||||
\(461\) | 15.8542 | 0.738404 | 0.369202 | − | 0.929349i | \(-0.379631\pi\) | ||||
0.369202 | + | 0.929349i | \(0.379631\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −27.6377 | −1.28443 | −0.642216 | − | 0.766524i | \(-0.721985\pi\) | ||||
−0.642216 | + | 0.766524i | \(0.721985\pi\) | |||||||
\(464\) | 2.39797 | − | 4.15341i | 0.111323 | − | 0.192817i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −2.09943 | − | 3.63631i | −0.0972540 | − | 0.168449i | ||||
\(467\) | −3.49877 | − | 2.02001i | −0.161904 | − | 0.0934751i | 0.416859 | − | 0.908971i | \(-0.363131\pi\) |
−0.578763 | + | 0.815496i | \(0.696464\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −4.40892 | − | 6.35512i | −0.203585 | − | 0.293452i | ||||
\(470\) | 18.3123 | 0.844685 | ||||||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 3.95479 | − | 2.28330i | 0.182034 | − | 0.105097i | ||||
\(473\) | 1.62980 | + | 8.09340i | 0.0749381 | + | 0.372135i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 0.644675i | 0.0295797i | ||||||||
\(476\) | 8.64357 | − | 18.3281i | 0.396177 | − | 0.840065i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 9.72914 | − | 16.8514i | 0.445001 | − | 0.770764i | ||||
\(479\) | −3.06163 | − | 5.30290i | −0.139890 | − | 0.242296i | 0.787565 | − | 0.616231i | \(-0.211341\pi\) |
−0.927455 | + | 0.373936i | \(0.878008\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 9.54388 | + | 5.51016i | 0.435163 | + | 0.251242i | ||||
\(482\) | 5.23797i | 0.238583i | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −8.75848 | − | 6.65500i | −0.398113 | − | 0.302500i | ||||
\(485\) | −2.31550 | − | 1.33685i | −0.105141 | − | 0.0607033i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 3.06196 | + | 5.30347i | 0.138751 | + | 0.240323i | 0.927024 | − | 0.375002i | \(-0.122358\pi\) |
−0.788273 | + | 0.615325i | \(0.789025\pi\) | |||||||
\(488\) | −9.71354 | − | 5.60811i | −0.439711 | − | 0.253867i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −11.6665 | + | 9.61800i | −0.527039 | + | 0.434497i | ||||
\(491\) | −20.9024 | −0.943311 | −0.471656 | − | 0.881783i | \(-0.656343\pi\) | ||||
−0.471656 | + | 0.881783i | \(0.656343\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 18.3662 | + | 31.8112i | 0.827173 | + | 1.43270i | ||||
\(494\) | −3.41166 | − | 5.90916i | −0.153498 | − | 0.265866i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −5.94307 | −0.266852 | ||||||||
\(497\) | 3.27714 | + | 39.4284i | 0.147000 | + | 1.76861i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 13.3081 | − | 23.0503i | 0.595753 | − | 1.03188i | −0.397687 | − | 0.917521i | \(-0.630187\pi\) |
0.993440 | − | 0.114354i | \(-0.0364798\pi\) | |||||||
\(500\) | −9.97863 | + | 5.76116i | −0.446258 | + | 0.257647i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −14.9818 | − | 8.64975i | −0.668670 | − | 0.386057i | ||||
\(503\) | 15.2781 | 0.681215 | 0.340607 | − | 0.940206i | \(-0.389367\pi\) | ||||
0.340607 | + | 0.940206i | \(0.389367\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 6.79779i | 0.302497i | ||||||||
\(506\) | 20.7442 | − | 18.2792i | 0.922191 | − | 0.812608i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 10.9566 | − | 6.32577i | 0.486119 | − | 0.280661i | ||||
\(509\) | 13.3048 | + | 7.68152i | 0.589724 | + | 0.340478i | 0.764989 | − | 0.644044i | \(-0.222745\pi\) |
−0.175264 | + | 0.984521i | \(0.556078\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 1.22063 | − | 0.846822i | 0.0539975 | − | 0.0374612i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −22.9253 | + | 13.2359i | −1.01119 | + | 0.583812i | ||||
\(515\) | −0.443901 | + | 0.256286i | −0.0195606 | + | 0.0112933i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −26.6473 | − | 8.97526i | −1.17195 | − | 0.394732i | ||||
\(518\) | 4.69548 | + | 6.76818i | 0.206308 | + | 0.297377i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 3.82272 | − | 6.62114i | 0.167637 | − | 0.290356i | ||||
\(521\) | 15.9036 | − | 9.18197i | 0.696751 | − | 0.402269i | −0.109385 | − | 0.993999i | \(-0.534888\pi\) |
0.806136 | + | 0.591730i | \(0.201555\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 33.5412 | + | 19.3650i | 1.46666 | + | 0.846774i | 0.999304 | − | 0.0372968i | \(-0.0118747\pi\) |
0.467352 | + | 0.884071i | \(0.345208\pi\) | |||||||
\(524\) | 3.05908 | 0.133637 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 12.6008 | 0.549420 | ||||||||
\(527\) | 22.7592 | − | 39.4201i | 0.991406 | − | 1.71716i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 23.2477 | + | 40.2661i | 1.01077 | + | 1.75070i | ||||
\(530\) | −6.02765 | + | 10.4402i | −0.261824 | + | 0.453493i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −0.422460 | − | 5.08276i | −0.0183160 | − | 0.220366i | ||||
\(533\) | − | 31.8773i | − | 1.38076i | ||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −20.2347 | + | 11.6825i | −0.874820 | + | 0.505078i | ||||
\(536\) | 1.46173 | + | 2.53179i | 0.0631370 | + | 0.109357i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | − | 18.7539i | − | 0.808536i | ||||||
\(539\) | 21.6906 | − | 8.27768i | 0.934278 | − | 0.356545i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 25.5849 | + | 14.7714i | 1.09998 | + | 0.635073i | 0.936215 | − | 0.351426i | \(-0.114303\pi\) |
0.163763 | + | 0.986500i | \(0.447637\pi\) | |||||||
\(542\) | −3.87768 | + | 2.23878i | −0.166561 | + | 0.0961638i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −3.82953 | + | 6.63294i | −0.164190 | + | 0.284385i | ||||
\(545\) | 9.42718 | 0.403816 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 8.96112i | 0.383150i | 0.981478 | + | 0.191575i | \(0.0613595\pi\) | ||||
−0.981478 | + | 0.191575i | \(0.938640\pi\) | |||||||
\(548\) | 6.20778 | + | 3.58406i | 0.265183 | + | 0.153104i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 1.08733 | − | 0.218959i | 0.0463637 | − | 0.00933643i | ||||
\(551\) | 8.00664 | + | 4.62264i | 0.341094 | + | 0.196931i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 18.3279 | + | 8.64349i | 0.779381 | + | 0.367558i | ||||
\(554\) | − | 9.35040i | − | 0.397260i | ||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 2.40268 | − | 1.38719i | 0.101896 | − | 0.0588299i | ||||
\(557\) | 11.1860 | + | 19.3748i | 0.473968 | + | 0.820936i | 0.999556 | − | 0.0298032i | \(-0.00948806\pi\) |
−0.525588 | + | 0.850739i | \(0.676155\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 8.81081 | 0.372658 | ||||||||
\(560\) | 4.69548 | − | 3.25753i | 0.198420 | − | 0.137656i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −11.9488 | + | 20.6960i | −0.504030 | + | 0.873006i | ||||
\(563\) | 12.3032 | + | 21.3098i | 0.518518 | + | 0.898100i | 0.999768 | + | 0.0215165i | \(0.00684945\pi\) |
−0.481250 | + | 0.876583i | \(0.659817\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 19.1665 | − | 33.1973i | 0.806339 | − | 1.39662i | ||||
\(566\) | − | 18.0665i | − | 0.759393i | ||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | − | 14.9539i | − | 0.627453i | ||||||
\(569\) | −20.0433 | + | 34.7160i | −0.840258 | + | 1.45537i | 0.0494186 | + | 0.998778i | \(0.484263\pi\) |
−0.889677 | + | 0.456591i | \(0.849070\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 10.6799 | − | 6.16602i | 0.446938 | − | 0.258040i | −0.259598 | − | 0.965717i | \(-0.583590\pi\) |
0.706536 | + | 0.707677i | \(0.250257\pi\) | |||||||
\(572\) | −8.80781 | + | 7.76119i | −0.368273 | + | 0.324512i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 10.1636 | − | 21.5513i | 0.424222 | − | 0.899533i | ||||
\(575\) | 2.78787i | 0.116262i | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −8.58087 | − | 14.8625i | −0.357226 | − | 0.618734i | 0.630270 | − | 0.776376i | \(-0.282944\pi\) |
−0.987496 | + | 0.157642i | \(0.949611\pi\) | |||||||
\(578\) | −20.8306 | − | 36.0797i | −0.866440 | − | 1.50072i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 10.3592i | 0.430143i | ||||||||
\(581\) | −22.2829 | + | 1.85207i | −0.924449 | + | 0.0768367i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 13.8881 | − | 12.2378i | 0.575187 | − | 0.506839i | ||||
\(584\) | −0.486281 | + | 0.280755i | −0.0201225 | + | 0.0116177i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −8.16309 | + | 14.1389i | −0.337214 | + | 0.584072i | ||||
\(587\) | − | 27.7349i | − | 1.14474i | −0.819995 | − | 0.572371i | \(-0.806024\pi\) | ||
0.819995 | − | 0.572371i | \(-0.193976\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | − | 11.4566i | − | 0.472062i | ||||||
\(590\) | −4.93191 | + | 8.54232i | −0.203044 | + | 0.351682i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −1.55673 | − | 2.69634i | −0.0639814 | − | 0.110819i | ||||
\(593\) | −10.2740 | + | 17.7950i | −0.421901 | + | 0.730753i | −0.996125 | − | 0.0879443i | \(-0.971970\pi\) |
0.574225 | + | 0.818698i | \(0.305304\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 3.62550 | + | 43.6197i | 0.148631 | + | 1.78823i | ||||
\(596\) | −23.4310 | −0.959770 | ||||||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −14.7536 | − | 25.5539i | −0.603319 | − | 1.04498i | ||||
\(599\) | 26.0773 | − | 15.0557i | 1.06549 | − | 0.615161i | 0.138544 | − | 0.990356i | \(-0.455758\pi\) |
0.926946 | + | 0.375195i | \(0.122424\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 17.8081i | 0.726406i | 0.931710 | + | 0.363203i | \(0.118317\pi\) | ||||
−0.931710 | + | 0.363203i | \(0.881683\pi\) | |||||||
\(602\) | 5.95672 | + | 2.80921i | 0.242778 | + | 0.114495i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −7.98285 | − | 4.60890i | −0.324818 | − | 0.187534i | ||||
\(605\) | 23.5711 | + | 2.98977i | 0.958301 | + | 0.121552i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −4.13802 | − | 2.38909i | −0.167957 | − | 0.0969700i | 0.413665 | − | 0.910429i | \(-0.364248\pi\) |
−0.581622 | + | 0.813459i | \(0.697582\pi\) | |||||||
\(608\) | 1.92773i | 0.0781797i | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 24.2270 | 0.980922 | ||||||||
\(611\) | −15.0041 | + | 25.9879i | −0.607002 | + | 1.05136i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 31.0386 | − | 17.9202i | 1.25364 | − | 0.723788i | 0.281808 | − | 0.959471i | \(-0.409066\pi\) |
0.971830 | + | 0.235683i | \(0.0757325\pi\) | |||||||
\(614\) | −5.98577 | − | 3.45589i | −0.241566 | − | 0.139468i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −8.42924 | + | 2.43885i | −0.339624 | + | 0.0982641i | ||||
\(617\) | 26.4982i | 1.06678i | 0.845871 | + | 0.533388i | \(0.179081\pi\) | ||||
−0.845871 | + | 0.533388i | \(0.820919\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 10.4961 | + | 18.1798i | 0.421874 | + | 0.730707i | 0.996123 | − | 0.0879736i | \(-0.0280391\pi\) |
−0.574249 | + | 0.818681i | \(0.694706\pi\) | |||||||
\(620\) | 11.1172 | − | 6.41850i | 0.446476 | − | 0.257773i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | − | 0.828930i | − | 0.0332371i | ||||||
\(623\) | −1.68354 | − | 0.793963i | −0.0674496 | − | 0.0318094i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 11.6080 | − | 20.1057i | 0.464321 | − | 0.804228i | ||||
\(626\) | 8.66175 | + | 15.0026i | 0.346193 | + | 0.599624i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −11.5804 | + | 20.0579i | −0.462109 | + | 0.800396i | ||||
\(629\) | 23.8463 | 0.950813 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −3.84169 | −0.152935 | −0.0764676 | − | 0.997072i | \(-0.524364\pi\) | ||||
−0.0764676 | + | 0.997072i | \(0.524364\pi\) | |||||||
\(632\) | −6.63288 | − | 3.82950i | −0.263842 | − | 0.152329i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 24.1286 | − | 13.9306i | 0.958268 | − | 0.553256i | ||||
\(635\) | −13.6636 | + | 23.6661i | −0.542225 | + | 0.939161i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −4.09047 | − | 24.4370i | −0.162070 | − | 0.968227i | ||||
\(638\) | 5.07727 | − | 15.0742i | 0.201011 | − | 0.596795i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −1.87061 | + | 1.08000i | −0.0739424 | + | 0.0426906i | ||||
\(641\) | −22.0788 | + | 12.7472i | −0.872061 | + | 0.503485i | −0.868033 | − | 0.496507i | \(-0.834616\pi\) |
−0.00402867 | + | 0.999992i | \(0.501282\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 47.8391 | 1.88659 | 0.943296 | − | 0.331953i | \(-0.107708\pi\) | ||||
0.943296 | + | 0.331953i | \(0.107708\pi\) | |||||||
\(644\) | −1.82691 | − | 21.9802i | −0.0719904 | − | 0.866141i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −12.7865 | − | 7.38230i | −0.503079 | − | 0.290453i | ||||
\(647\) | −40.1193 | + | 23.1629i | −1.57725 | + | 0.910628i | −0.582013 | + | 0.813179i | \(0.697735\pi\) |
−0.995241 | + | 0.0974487i | \(0.968932\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 11.3635 | − | 10.0132i | 0.446055 | − | 0.393051i | ||||
\(650\) | − | 1.18371i | − | 0.0464289i | ||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 18.6075 | 0.728727 | ||||||||
\(653\) | −19.4171 | − | 11.2105i | −0.759850 | − | 0.438699i | 0.0693921 | − | 0.997589i | \(-0.477894\pi\) |
−0.829242 | + | 0.558890i | \(0.811227\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −5.72235 | + | 3.30380i | −0.223591 | + | 0.129090i | ||||
\(656\) | −4.50300 | + | 7.79943i | −0.175813 | + | 0.304517i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −18.4297 | + | 12.7858i | −0.718465 | + | 0.498441i | ||||
\(659\) | −34.8470 | −1.35745 | −0.678724 | − | 0.734394i | \(-0.737467\pi\) | ||||
−0.678724 | + | 0.734394i | \(0.737467\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 14.7306 | + | 25.5141i | 0.572953 | + | 0.992383i | 0.996261 | + | 0.0863973i | \(0.0275354\pi\) |
−0.423308 | + | 0.905986i | \(0.639131\pi\) | |||||||
\(662\) | 2.76388 | + | 4.78718i | 0.107421 | + | 0.186059i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 8.45117 | 0.327969 | ||||||||
\(665\) | 6.27963 | + | 9.05161i | 0.243514 | + | 0.351007i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 34.6244 | + | 19.9904i | 1.34066 | + | 0.774032i | ||||
\(668\) | −10.6954 | − | 18.5250i | −0.413818 | − | 0.716754i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −5.46865 | − | 3.15732i | −0.211272 | − | 0.121978i | ||||
\(671\) | −35.2540 | − | 11.8742i | −1.36097 | − | 0.458397i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | − | 18.7674i | − | 0.723430i | −0.932289 | − | 0.361715i | \(-0.882191\pi\) | ||
0.932289 | − | 0.361715i | \(-0.117809\pi\) | |||||||
\(674\) | 20.5602 | + | 11.8704i | 0.791949 | + | 0.457232i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −0.235750 | − | 0.408331i | −0.00906730 | − | 0.0157050i | ||||
\(677\) | 19.4967 | − | 33.7692i | 0.749317 | − | 1.29786i | −0.198833 | − | 0.980033i | \(-0.563715\pi\) |
0.948150 | − | 0.317822i | \(-0.102951\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 3.26373 | − | 0.271269i | 0.125251 | − | 0.0104104i | ||||
\(680\) | − | 16.5435i | − | 0.634416i | ||||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −19.3230 | + | 3.89115i | −0.739918 | + | 0.149000i | ||||
\(683\) | 9.14108 | − | 5.27760i | 0.349774 | − | 0.201942i | −0.314812 | − | 0.949154i | \(-0.601941\pi\) |
0.664586 | + | 0.747212i | \(0.268608\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −15.4831 | −0.591579 | ||||||||
\(686\) | 5.02595 | − | 17.8253i | 0.191891 | − | 0.680572i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −2.15574 | − | 1.24462i | −0.0821869 | − | 0.0474506i | ||||
\(689\) | −9.87745 | − | 17.1082i | −0.376301 | − | 0.651772i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −5.97059 | + | 10.3414i | −0.227132 | + | 0.393404i | −0.956957 | − | 0.290230i | \(-0.906268\pi\) |
0.729825 | + | 0.683634i | \(0.239602\pi\) | |||||||
\(692\) | −0.860166 | −0.0326986 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 20.3800 | 0.773612 | ||||||||
\(695\) | −2.99632 | + | 5.18978i | −0.113657 | + | 0.196860i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −34.4888 | − | 59.7363i | −1.30636 | − | 2.26267i | ||||
\(698\) | −9.82594 | − | 5.67301i | −0.371917 | − | 0.214727i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 0.377409 | − | 0.800269i | 0.0142647 | − | 0.0302473i | ||||
\(701\) | −42.9751 | −1.62315 | −0.811573 | − | 0.584251i | \(-0.801388\pi\) | ||||
−0.811573 | + | 0.584251i | \(0.801388\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 5.19782 | − | 3.00096i | 0.196039 | − | 0.113183i | ||||
\(704\) | 3.25136 | − | 0.654737i | 0.122540 | − | 0.0246763i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | − | 10.2642i | − | 0.386298i | ||||||
\(707\) | −4.74625 | − | 6.84136i | −0.178501 | − | 0.257296i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 12.1613 | − | 21.0640i | 0.456726 | − | 0.791073i | −0.542059 | − | 0.840340i | \(-0.682355\pi\) |
0.998786 | + | 0.0492669i | \(0.0156885\pi\) | |||||||
\(710\) | 16.1502 | + | 27.9730i | 0.606106 | + | 1.04981i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 0.609275 | + | 0.351765i | 0.0228335 | + | 0.0131830i | ||||
\(713\) | − | 49.5437i | − | 1.85543i | ||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 8.09391 | − | 24.0306i | 0.302695 | − | 0.898692i | ||||
\(716\) | 9.01762 | + | 5.20633i | 0.337004 | + | 0.194570i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 8.12523 | + | 14.0733i | 0.303231 | + | 0.525211i | ||||
\(719\) | 9.25091 | + | 5.34101i | 0.345001 | + | 0.199186i | 0.662481 | − | 0.749079i | \(-0.269503\pi\) |
−0.317480 | + | 0.948265i | \(0.602837\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 0.267806 | − | 0.567862i | 0.00997360 | − | 0.0211483i | ||||
\(722\) | 15.2839 | 0.568807 | ||||||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 3.51299 | + | 6.08468i | 0.130559 | + | 0.226135i | ||||
\(725\) | 0.801935 | + | 1.38899i | 0.0297831 | + | 0.0515859i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 31.0522 | 1.15166 | 0.575832 | − | 0.817568i | \(-0.304678\pi\) | ||||
0.575832 | + | 0.817568i | \(0.304678\pi\) | |||||||
\(728\) | 0.775692 | + | 9.33262i | 0.0287491 | + | 0.345890i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 0.606428 | − | 1.05036i | 0.0224449 | − | 0.0388757i | ||||
\(731\) | 16.5110 | − | 9.53261i | 0.610680 | − | 0.352576i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −23.6044 | − | 13.6280i | −0.871848 | − | 0.503362i | −0.00388629 | − | 0.999992i | \(-0.501237\pi\) |
−0.867962 | + | 0.496631i | \(0.834570\pi\) | |||||||
\(734\) | 36.7363 | 1.35596 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 8.33638i | 0.307283i | ||||||||
\(737\) | 6.41025 | + | 7.27469i | 0.236125 | + | 0.267967i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −30.9864 | + | 17.8900i | −1.13985 | + | 0.658095i | −0.946394 | − | 0.323013i | \(-0.895304\pi\) |
−0.193460 | + | 0.981108i | \(0.561971\pi\) | |||||||
\(740\) | 5.82409 | + | 3.36254i | 0.214098 | + | 0.123609i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −1.22311 | − | 14.7156i | −0.0449017 | − | 0.540228i | ||||
\(743\) | −13.7096 | −0.502957 | −0.251478 | − | 0.967863i | \(-0.580917\pi\) | ||||
−0.251478 | + | 0.967863i | \(0.580917\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 43.8302 | − | 25.3054i | 1.60582 | − | 0.927118i | ||||
\(746\) | −0.721045 | + | 0.416295i | −0.0263993 | + | 0.0152417i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −8.10834 | + | 24.0734i | −0.296470 | + | 0.880211i | ||||
\(749\) | 12.2076 | − | 25.8853i | 0.446056 | − | 0.945828i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 2.74195 | − | 4.74920i | 0.100055 | − | 0.173301i | −0.811652 | − | 0.584141i | \(-0.801431\pi\) |
0.911707 | + | 0.410840i | \(0.134765\pi\) | |||||||
\(752\) | 7.34212 | − | 4.23898i | 0.267740 | − | 0.154580i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −14.7012 | − | 8.48777i | −0.535388 | − | 0.309106i | ||||
\(755\) | 19.9104 | 0.724614 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 39.5786 | 1.43851 | 0.719254 | − | 0.694747i | \(-0.244484\pi\) | ||||
0.719254 | + | 0.694747i | \(0.244484\pi\) | |||||||
\(758\) | 17.9911 | − | 31.1616i | 0.653468 | − | 1.13184i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −2.08194 | − | 3.60603i | −0.0755200 | − | 0.130804i | ||||
\(761\) | 12.9323 | − | 22.3994i | 0.468794 | − | 0.811976i | −0.530569 | − | 0.847642i | \(-0.678022\pi\) |
0.999364 | + | 0.0356657i | \(0.0113552\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −9.48761 | + | 6.58210i | −0.343474 | + | 0.238288i | ||||
\(764\) | − | 4.65390i | − | 0.168372i | ||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 1.51172 | − | 0.872794i | 0.0546208 | − | 0.0315353i | ||||
\(767\) | −8.08188 | − | 13.9982i | −0.291820 | − | 0.505447i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | − | 30.4651i | − | 1.09860i | −0.835626 | − | 0.549299i | \(-0.814895\pi\) | ||
0.835626 | − | 0.549299i | \(-0.185105\pi\) | |||||||
\(770\) | 13.1339 | − | 13.6657i | 0.473312 | − | 0.492477i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −13.5837 | − | 7.84257i | −0.488889 | − | 0.282260i | ||||
\(773\) | 34.2466 | − | 19.7723i | 1.23177 | − | 0.711160i | 0.264367 | − | 0.964422i | \(-0.414837\pi\) |
0.967398 | + | 0.253262i | \(0.0815035\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 0.993748 | − | 1.72122i | 0.0356965 | − | 0.0618281i | ||||
\(776\) | −1.23783 | −0.0444355 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 23.0850i | 0.827637i | ||||||||
\(779\) | −15.0352 | − | 8.68057i | −0.538691 | − | 0.311014i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −9.79089 | − | 48.6205i | −0.350346 | − | 1.73978i | ||||
\(782\) | −55.2948 | − | 31.9244i | −1.97734 | − | 1.14162i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −2.45116 | + | 6.55682i | −0.0875413 | + | 0.234172i | ||||
\(785\) | − | 50.0273i | − | 1.78555i | ||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 26.6490 | − | 15.3858i | 0.949933 | − | 0.548444i | 0.0568731 | − | 0.998381i | \(-0.481887\pi\) |
0.893060 | + | 0.449937i | \(0.148554\pi\) | |||||||
\(788\) | 3.19570 | + | 5.53512i | 0.113842 | + | 0.197181i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 16.5434 | 0.588587 | ||||||||
\(791\) | 3.88919 | + | 46.7922i | 0.138284 | + | 1.66374i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −19.8503 | + | 34.3817i | −0.704904 | + | 1.22093i | ||||
\(794\) | −3.99083 | − | 6.91231i | −0.141629 | − | 0.245309i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 12.8469 | − | 22.2515i | 0.455347 | − | 0.788684i | ||||
\(797\) | − | 8.28034i | − | 0.293305i | −0.989188 | − | 0.146652i | \(-0.953150\pi\) | ||
0.989188 | − | 0.146652i | \(-0.0468498\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 64.9332i | 2.29717i | ||||||||
\(800\) | −0.167211 | + | 0.289618i | −0.00591181 | + | 0.0102396i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −8.88905 | + | 5.13209i | −0.313883 | + | 0.181221i | ||||
\(803\) | −1.39725 | + | 1.23122i | −0.0493080 | + | 0.0434488i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 27.1560 | + | 39.1433i | 0.957123 | + | 1.37962i | ||||
\(806\) | 21.0359i | 0.740957i | ||||||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 1.57357 | + | 2.72549i | 0.0553578 | + | 0.0958826i | ||||
\(809\) | −13.0401 | − | 22.5861i | −0.458466 | − | 0.794086i | 0.540414 | − | 0.841399i | \(-0.318267\pi\) |
−0.998880 | + | 0.0473131i | \(0.984934\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | − | 27.0252i | − | 0.948983i | −0.880260 | − | 0.474492i | \(-0.842632\pi\) | ||
0.880260 | − | 0.474492i | \(-0.157368\pi\) | |||||||
\(812\) | −7.23285 | − | 10.4256i | −0.253823 | − | 0.365867i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −6.82690 | − | 7.74752i | −0.239283 | − | 0.271551i | ||||
\(815\) | −34.8074 | + | 20.0961i | −1.21925 | + | 0.703935i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 2.39929 | − | 4.15569i | 0.0839404 | − | 0.145389i | ||||
\(818\) | 7.09479i | 0.248064i | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | − | 19.4529i | − | 0.679326i | ||||||
\(821\) | −1.47291 | + | 2.55116i | −0.0514050 | + | 0.0890360i | −0.890583 | − | 0.454821i | \(-0.849703\pi\) |
0.839178 | + | 0.543857i | \(0.183037\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 8.76000 | + | 15.1728i | 0.305354 | + | 0.528889i | 0.977340 | − | 0.211675i | \(-0.0678917\pi\) |
−0.671986 | + | 0.740564i | \(0.734558\pi\) | |||||||
\(824\) | −0.118651 | + | 0.205510i | −0.00413341 | + | 0.00715928i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −1.00077 | − | 12.0406i | −0.0348211 | − | 0.418945i | ||||
\(827\) | 34.7309 | 1.20771 | 0.603856 | − | 0.797093i | \(-0.293630\pi\) | ||||
0.603856 | + | 0.797093i | \(0.293630\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 14.0532 | + | 24.3409i | 0.488088 | + | 0.845394i | 0.999906 | − | 0.0137004i | \(-0.00436110\pi\) |
−0.511818 | + | 0.859094i | \(0.671028\pi\) | |||||||
\(830\) | −15.8089 | + | 9.12725i | −0.548733 | + | 0.316811i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | − | 3.53956i | − | 0.122712i | ||||||
\(833\) | −34.1042 | − | 41.3679i | −1.18164 | − | 1.43331i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 40.0139 | + | 23.1020i | 1.38474 | + | 0.799479i | ||||
\(836\) | 1.26216 | + | 6.26773i | 0.0436526 | + | 0.216774i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 17.8483 | + | 10.3047i | 0.616558 | + | 0.355970i | ||||
\(839\) | 5.84466i | 0.201780i | 0.994898 | + | 0.100890i | \(0.0321690\pi\) | ||||
−0.994898 | + | 0.100890i | \(0.967831\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −5.99894 | −0.206860 | ||||||||
\(842\) | −0.0539977 | + | 0.0935268i | −0.00186088 | + | 0.00322315i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 14.4283 | − | 8.33019i | 0.496643 | − | 0.286737i | ||||
\(845\) | 0.881992 | + | 0.509218i | 0.0303414 | + | 0.0175176i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −25.8096 | + | 13.4485i | −0.886830 | + | 0.462096i | ||||
\(848\) | 5.58117i | 0.191658i | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −1.28068 | − | 2.21820i | −0.0439270 | − | 0.0760838i | ||||
\(851\) | 22.4778 | − | 12.9775i | 0.770528 | − | 0.444864i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 33.5879i | 1.15003i | 0.818143 | + | 0.575014i | \(0.195004\pi\) | ||||
−0.818143 | + | 0.575014i | \(0.804996\pi\) | |||||||
\(854\) | −24.3823 | + | 16.9154i | −0.834344 | + | 0.578833i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −5.40857 | + | 9.36792i | −0.184861 | + | 0.320189i | ||||
\(857\) | −6.10111 | − | 10.5674i | −0.208410 | − | 0.360977i | 0.742804 | − | 0.669509i | \(-0.233495\pi\) |
−0.951214 | + | 0.308532i | \(0.900162\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 13.1737 | − | 22.8176i | 0.449482 | − | 0.778525i | −0.548870 | − | 0.835907i | \(-0.684942\pi\) |
0.998352 | + | 0.0573821i | \(0.0182753\pi\) | |||||||
\(860\) | 5.37674 | 0.183345 | ||||||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 40.5122 | 1.37985 | ||||||||
\(863\) | 9.29024 | + | 5.36372i | 0.316244 | + | 0.182583i | 0.649717 | − | 0.760176i | \(-0.274887\pi\) |
−0.333473 | + | 0.942760i | \(0.608221\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 1.60904 | − | 0.928977i | 0.0547089 | − | 0.0315862i | ||||
\(866\) | 1.63562 | − | 2.83297i | 0.0555806 | − | 0.0962683i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −6.70700 | + | 14.2217i | −0.227650 | + | 0.482716i | ||||
\(869\) | −24.0732 | − | 8.10826i | −0.816627 | − | 0.275054i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 8.96142 | − | 5.17388i | 0.303646 | − | 0.175310i | ||||
\(872\) | 3.77972 | − | 2.18222i | 0.127998 | − | 0.0738994i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −16.0703 | −0.543585 | ||||||||
\(875\) | 2.52511 | + | 30.3804i | 0.0853642 | + | 1.02705i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −31.2834 | − | 18.0615i | −1.05637 | − | 0.609893i | −0.131941 | − | 0.991258i | \(-0.542121\pi\) |
−0.924425 | + | 0.381365i | \(0.875454\pi\) | |||||||
\(878\) | −5.95716 | + | 3.43937i | −0.201044 | + | 0.116073i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −5.37491 | + | 4.73621i | −0.181188 | + | 0.159658i | ||||
\(881\) | − | 2.25462i | − | 0.0759602i | −0.999278 | − | 0.0379801i | \(-0.987908\pi\) | ||
0.999278 | − | 0.0379801i | \(-0.0120923\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −18.2202 | −0.613160 | −0.306580 | − | 0.951845i | \(-0.599185\pi\) | ||||
−0.306580 | + | 0.951845i | \(0.599185\pi\) | |||||||
\(884\) | 23.4777 | + | 13.5549i | 0.789641 | + | 0.455899i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −5.64003 | + | 3.25627i | −0.189481 | + | 0.109397i | ||||
\(887\) | −2.23053 | + | 3.86340i | −0.0748940 | + | 0.129720i | −0.901040 | − | 0.433736i | \(-0.857195\pi\) |
0.826146 | + | 0.563456i | \(0.190528\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −2.77258 | − | 33.3578i | −0.0929892 | − | 1.11879i | ||||
\(890\) | −1.51962 | −0.0509378 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −4.90779 | − | 8.50054i | −0.164325 | − | 0.284619i | ||||
\(893\) | 8.17160 | + | 14.1536i | 0.273452 | + | 0.473633i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −22.4913 | −0.751801 | ||||||||
\(896\) | 1.12854 | − | 2.39299i | 0.0377019 | − | 0.0799441i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 11.5303 | + | 6.65704i | 0.384772 | + | 0.222148i | ||||
\(899\) | −14.2513 | − | 24.6840i | −0.475308 | − | 0.823258i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −37.0196 | − | 21.3733i | −1.23330 | − | 0.712047i | ||||
\(902\) | −9.53429 | + | 28.3070i | −0.317457 | + | 0.942520i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | − | 17.7468i | − | 0.590249i | ||||||
\(905\) | −13.1429 | − | 7.58804i | −0.436884 | − | 0.252235i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −4.56876 | − | 7.91332i | −0.151703 | − | 0.262758i | 0.780151 | − | 0.625592i | \(-0.215142\pi\) |
−0.931854 | + | 0.362834i | \(0.881809\pi\) | |||||||
\(908\) | 5.08719 | − | 8.81128i | 0.168824 | − | 0.292413i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −11.5302 | − | 16.6200i | −0.382223 | − | 0.550946i | ||||
\(911\) | − | 24.0642i | − | 0.797283i | −0.917107 | − | 0.398641i | \(-0.869482\pi\) | ||
0.917107 | − | 0.398641i | \(-0.130518\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 27.4778 | − | 5.53330i | 0.909382 | − | 0.183125i | ||||
\(914\) | 22.5222 | − | 13.0032i | 0.744967 | − | 0.430107i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 26.7338 | 0.883310 | ||||||||
\(917\) | 3.45230 | − | 7.32035i | 0.114005 | − | 0.241739i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −35.4309 | − | 20.4560i | −1.16876 | − | 0.674783i | −0.215371 | − | 0.976532i | \(-0.569096\pi\) |
−0.953387 | + | 0.301750i | \(0.902429\pi\) | |||||||
\(920\) | −9.00327 | − | 15.5941i | −0.296829 | − | 0.514123i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −7.92710 | + | 13.7301i | −0.261065 | + | 0.452178i | ||||
\(923\) | −52.9303 | −1.74222 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 1.04121 | 0.0342349 | ||||||||
\(926\) | 13.8188 | − | 23.9349i | 0.454115 | − | 0.786551i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 2.39797 | + | 4.15341i | 0.0787173 | + | 0.136342i | ||||
\(929\) | 49.2202 | + | 28.4173i | 1.61486 | + | 0.932341i | 0.988221 | + | 0.153034i | \(0.0489045\pi\) |
0.626642 | + | 0.779307i | \(0.284429\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −12.6398 | − | 4.72516i | −0.414251 | − | 0.154861i | ||||
\(932\) | 4.19885 | 0.137538 | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 3.49877 | − | 2.02001i | 0.114483 | − | 0.0660969i | ||||
\(935\) | −10.8317 | − | 53.7889i | −0.354233 | − | 1.75909i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 21.7330i | 0.709987i | 0.934869 | + | 0.354994i | \(0.115517\pi\) | ||||
−0.934869 | + | 0.354994i | \(0.884483\pi\) | |||||||
\(938\) | 7.70816 | − | 0.640673i | 0.251680 | − | 0.0209187i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −9.15617 | + | 15.8589i | −0.298641 | + | 0.517262i | ||||
\(941\) | 19.5613 | + | 33.8811i | 0.637679 | + | 1.10449i | 0.985941 | + | 0.167095i | \(0.0534386\pi\) |
−0.348262 | + | 0.937397i | \(0.613228\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −65.0190 | − | 37.5388i | −2.11731 | − | 1.22243i | ||||
\(944\) | 4.56660i | 0.148630i | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −7.82399 | − | 2.63525i | −0.254380 | − | 0.0856795i | ||||
\(947\) | −4.84961 | − | 2.79992i | −0.157591 | − | 0.0909853i | 0.419131 | − | 0.907926i | \(-0.362335\pi\) |
−0.576722 | + | 0.816941i | \(0.695668\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 0.993748 | + | 1.72122i | 0.0322584 | + | 0.0558732i | ||||
\(950\) | −0.558305 | − | 0.322338i | −0.0181138 | − | 0.0104580i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 11.5508 | + | 16.6496i | 0.374363 | + | 0.539616i | ||||
\(953\) | 37.2517 | 1.20670 | 0.603350 | − | 0.797477i | \(-0.293832\pi\) | ||||
0.603350 | + | 0.797477i | \(0.293832\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 5.02620 | + | 8.70563i | 0.162644 | + | 0.281708i | ||||
\(956\) | 9.72914 | + | 16.8514i | 0.314663 | + | 0.545012i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 6.12326 | 0.197834 | ||||||||
\(959\) | 15.5824 | − | 10.8104i | 0.503180 | − | 0.349085i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −2.16005 | + | 3.74132i | −0.0696792 | + | 0.120688i | ||||
\(962\) | −9.54388 | + | 5.51016i | −0.307707 | + | 0.177655i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −4.53621 | − | 2.61898i | −0.146102 | − | 0.0843518i | ||||
\(965\) | 33.8798 | 1.09063 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | − | 12.7892i | − | 0.411272i | −0.978629 | − | 0.205636i | \(-0.934074\pi\) | ||
0.978629 | − | 0.205636i | \(-0.0659263\pi\) | |||||||
\(968\) | 10.1426 | − | 4.25757i | 0.325997 | − | 0.136843i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 2.31550 | − | 1.33685i | 0.0743461 | − | 0.0429237i | ||||
\(971\) | −33.1789 | − | 19.1559i | −1.06476 | − | 0.614740i | −0.138016 | − | 0.990430i | \(-0.544073\pi\) |
−0.926746 | + | 0.375689i | \(0.877406\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −0.608003 | − | 7.31509i | −0.0194917 | − | 0.234511i | ||||
\(974\) | −6.12392 | −0.196223 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 9.71354 | − | 5.60811i | 0.310923 | − | 0.179511i | ||||
\(977\) | −21.7513 | + | 12.5581i | −0.695885 | + | 0.401770i | −0.805813 | − | 0.592170i | \(-0.798271\pi\) |
0.109928 | + | 0.993940i | \(0.464938\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 2.21128 | + | 0.744799i | 0.0706729 | + | 0.0238039i | ||||
\(980\) | −2.49618 | − | 14.9125i | −0.0797377 | − | 0.476362i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 10.4512 | − | 18.1020i | 0.333511 | − | 0.577658i | ||||
\(983\) | −2.11529 | + | 1.22127i | −0.0674674 | + | 0.0389523i | −0.533354 | − | 0.845892i | \(-0.679069\pi\) |
0.465887 | + | 0.884844i | \(0.345735\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −11.9558 | − | 6.90270i | −0.380944 | − | 0.219938i | ||||
\(986\) | −36.7324 | −1.16980 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 6.82331 | 0.217079 | ||||||||
\(989\) | 10.3756 | − | 17.9711i | 0.329925 | − | 0.571448i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −2.56512 | − | 4.44291i | −0.0814836 | − | 0.141134i | 0.822404 | − | 0.568904i | \(-0.192632\pi\) |
−0.903887 | + | 0.427770i | \(0.859299\pi\) | |||||||
\(992\) | 2.97154 | − | 5.14685i | 0.0943464 | − | 0.163413i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −35.7846 | − | 16.8761i | −1.13502 | − | 0.535278i | ||||
\(995\) | 55.4986i | 1.75942i | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −39.8987 | + | 23.0355i | −1.26361 | + | 0.729543i | −0.973770 | − | 0.227534i | \(-0.926934\pi\) |
−0.289835 | + | 0.957077i | \(0.593600\pi\) | |||||||
\(998\) | 13.3081 | + | 23.0503i | 0.421261 | + | 0.729646i | ||||
\(999\) | 0 | 0 |
(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 | 1386.2.ba.a.989.13 | yes | 32 | |
3.2 | odd | 2 | 1386.2.ba.b.989.4 | yes | 32 | ||
7.4 | even | 3 | inner | 1386.2.ba.a.1187.4 | yes | 32 | |
11.10 | odd | 2 | 1386.2.ba.b.989.13 | yes | 32 | ||
21.11 | odd | 6 | 1386.2.ba.b.1187.13 | yes | 32 | ||
33.32 | even | 2 | inner | 1386.2.ba.a.989.4 | ✓ | 32 | |
77.32 | odd | 6 | 1386.2.ba.b.1187.4 | yes | 32 | ||
231.32 | even | 6 | inner | 1386.2.ba.a.1187.13 | yes | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
1386.2.ba.a.989.4 | ✓ | 32 | 33.32 | even | 2 | inner | |
1386.2.ba.a.989.13 | yes | 32 | 1.1 | even | 1 | trivial | |
1386.2.ba.a.1187.4 | yes | 32 | 7.4 | even | 3 | inner | |
1386.2.ba.a.1187.13 | yes | 32 | 231.32 | even | 6 | inner | |
1386.2.ba.b.989.4 | yes | 32 | 3.2 | odd | 2 | ||
1386.2.ba.b.989.13 | yes | 32 | 11.10 | odd | 2 | ||
1386.2.ba.b.1187.4 | yes | 32 | 77.32 | odd | 6 | ||
1386.2.ba.b.1187.13 | yes | 32 | 21.11 | odd | 6 |