Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [567,2,Mod(143,567)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(567, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([7, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("567.143");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 567 = 3^{4} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 567.ba (of order \(18\), degree \(6\), not 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: | \(4.52751779461\) |
Analytic rank: | \(0\) |
Dimension: | \(132\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{18})\) |
Twist minimal: | no (minimal twist has level 189) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 143.3 | ||
Character | \(\chi\) | \(=\) | 567.143 |
Dual form | 567.2.ba.a.341.3 |
$q$-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 \(\left(\mathbb{Z}/567\mathbb{Z}\right)^\times\).
\(n\) | \(325\) | \(407\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{7}{18}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.47978 | + | 1.76353i | −1.04636 | + | 1.24700i | −0.0781303 | + | 0.996943i | \(0.524895\pi\) |
−0.968230 | + | 0.250061i | \(0.919549\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.573000 | − | 3.24965i | −0.286500 | − | 1.62482i | ||||
\(5\) | 1.41208 | − | 1.18487i | 0.631499 | − | 0.529891i | −0.269895 | − | 0.962890i | \(-0.586989\pi\) |
0.901394 | + | 0.432999i | \(0.142545\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −2.40040 | + | 1.11270i | −0.907264 | + | 0.420561i | ||||
\(8\) | 2.59137 | + | 1.49613i | 0.916186 | + | 0.528960i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 4.24358i | 1.34194i | ||||||||
\(11\) | 0.0789393 | − | 0.0940762i | 0.0238011 | − | 0.0283650i | −0.754013 | − | 0.656860i | \(-0.771884\pi\) |
0.777814 | + | 0.628495i | \(0.216329\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.0159063 | − | 0.0437022i | 0.00441162 | − | 0.0121208i | −0.937467 | − | 0.348073i | \(-0.886836\pi\) |
0.941879 | + | 0.335953i | \(0.109058\pi\) | |||||||
\(14\) | 1.58977 | − | 5.87972i | 0.424884 | − | 1.57142i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.271551 | + | 0.0988366i | −0.0678878 | + | 0.0247091i | ||||
\(17\) | −0.157246 | −0.0381377 | −0.0190689 | − | 0.999818i | \(-0.506070\pi\) | ||||
−0.0190689 | + | 0.999818i | \(0.506070\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 7.59626i | 1.74270i | 0.490661 | + | 0.871350i | \(0.336755\pi\) | ||||
−0.490661 | + | 0.871350i | \(0.663245\pi\) | |||||||
\(20\) | −4.65954 | − | 3.90982i | −1.04190 | − | 0.874261i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0.0490936 | + | 0.278423i | 0.0104668 | + | 0.0593601i | ||||
\(23\) | −0.332628 | + | 0.913889i | −0.0693578 | + | 0.190559i | −0.969529 | − | 0.244978i | \(-0.921219\pi\) |
0.900171 | + | 0.435537i | \(0.143441\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.278205 | + | 1.57778i | −0.0556411 | + | 0.315556i | ||||
\(26\) | 0.0535324 | + | 0.0927208i | 0.0104986 | + | 0.0181840i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 4.99131 | + | 7.16286i | 0.943269 | + | 1.35365i | ||||
\(29\) | 3.33678 | + | 9.16772i | 0.619624 | + | 1.70240i | 0.707906 | + | 0.706307i | \(0.249640\pi\) |
−0.0882816 | + | 0.996096i | \(0.528138\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −4.49600 | + | 0.792766i | −0.807505 | + | 0.142385i | −0.562136 | − | 0.827045i | \(-0.690020\pi\) |
−0.245369 | + | 0.969430i | \(0.578909\pi\) | |||||||
\(32\) | −1.81929 | + | 4.99845i | −0.321607 | + | 0.883609i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 0.232689 | − | 0.277308i | 0.0399058 | − | 0.0475579i | ||||
\(35\) | −2.07113 | + | 4.41538i | −0.350085 | + | 0.746335i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −4.68718 | + | 8.11843i | −0.770567 | + | 1.33466i | 0.166685 | + | 0.986010i | \(0.446694\pi\) |
−0.937252 | + | 0.348652i | \(0.886640\pi\) | |||||||
\(38\) | −13.3962 | − | 11.2408i | −2.17315 | − | 1.82349i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 5.43192 | − | 0.957794i | 0.858862 | − | 0.151441i | ||||
\(41\) | 5.76925 | + | 2.09983i | 0.901005 | + | 0.327939i | 0.750656 | − | 0.660694i | \(-0.229738\pi\) |
0.150350 | + | 0.988633i | \(0.451960\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 1.67890 | − | 9.52153i | 0.256030 | − | 1.45202i | −0.537384 | − | 0.843338i | \(-0.680587\pi\) |
0.793414 | − | 0.608682i | \(-0.208301\pi\) | |||||||
\(44\) | −0.350947 | − | 0.202619i | −0.0529072 | − | 0.0305460i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −1.11945 | − | 1.93895i | −0.165055 | − | 0.285883i | ||||
\(47\) | −0.723937 | + | 4.10565i | −0.105597 | + | 0.598871i | 0.885383 | + | 0.464862i | \(0.153896\pi\) |
−0.990980 | + | 0.134009i | \(0.957215\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 4.52380 | − | 5.34184i | 0.646257 | − | 0.763120i | ||||
\(50\) | −2.37078 | − | 2.82539i | −0.335279 | − | 0.399570i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −0.151131 | − | 0.0266485i | −0.0209581 | − | 0.00369548i | ||||
\(53\) | −0.141686 | − | 0.0818025i | −0.0194621 | − | 0.0112364i | 0.490237 | − | 0.871589i | \(-0.336910\pi\) |
−0.509699 | + | 0.860353i | \(0.670243\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | − | 0.226376i | − | 0.0305245i | ||||||
\(56\) | −7.88504 | − | 0.707881i | −1.05368 | − | 0.0945946i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −21.1052 | − | 7.68168i | −2.77125 | − | 1.00865i | ||||
\(59\) | −11.1248 | − | 4.04911i | −1.44833 | − | 0.527150i | −0.506207 | − | 0.862412i | \(-0.668953\pi\) |
−0.942125 | + | 0.335262i | \(0.891175\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 2.98946 | + | 0.527123i | 0.382762 | + | 0.0674912i | 0.361718 | − | 0.932287i | \(-0.382190\pi\) |
0.0210431 | + | 0.999779i | \(0.493301\pi\) | |||||||
\(62\) | 5.25501 | − | 9.10194i | 0.667387 | − | 1.15595i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −6.41175 | − | 11.1055i | −0.801469 | − | 1.38818i | ||||
\(65\) | −0.0293206 | − | 0.0805578i | −0.00363678 | − | 0.00999196i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −7.53281 | + | 6.32078i | −0.920279 | + | 0.772206i | −0.974047 | − | 0.226348i | \(-0.927321\pi\) |
0.0537674 | + | 0.998553i | \(0.482877\pi\) | |||||||
\(68\) | 0.0901020 | + | 0.510994i | 0.0109265 | + | 0.0619671i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −4.72184 | − | 10.1863i | −0.564367 | − | 1.21749i | ||||
\(71\) | 0.863276 | − | 0.498413i | 0.102452 | − | 0.0591507i | −0.447899 | − | 0.894084i | \(-0.647827\pi\) |
0.550351 | + | 0.834934i | \(0.314494\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 7.95454 | − | 4.59256i | 0.931009 | − | 0.537518i | 0.0438782 | − | 0.999037i | \(-0.486029\pi\) |
0.887130 | + | 0.461519i | \(0.152695\pi\) | |||||||
\(74\) | −7.38112 | − | 20.2795i | −0.858037 | − | 2.35744i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 24.6852 | − | 4.35266i | 2.83158 | − | 0.499284i | ||||
\(77\) | −0.0848069 | + | 0.313656i | −0.00966465 | + | 0.0357444i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 1.99133 | + | 1.67093i | 0.224043 | + | 0.187994i | 0.747899 | − | 0.663812i | \(-0.231063\pi\) |
−0.523856 | + | 0.851807i | \(0.675507\pi\) | |||||||
\(80\) | −0.266342 | + | 0.461318i | −0.0297780 | + | 0.0515769i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −12.2403 | + | 7.06695i | −1.35172 | + | 0.780414i | ||||
\(83\) | −6.02764 | + | 2.19388i | −0.661619 | + | 0.240810i | −0.650935 | − | 0.759133i | \(-0.725623\pi\) |
−0.0106840 | + | 0.999943i | \(0.503401\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −0.222043 | + | 0.186316i | −0.0240840 | + | 0.0202088i | ||||
\(86\) | 14.3071 | + | 17.0505i | 1.54277 | + | 1.83861i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 0.345310 | − | 0.125683i | 0.0368102 | − | 0.0133978i | ||||
\(89\) | 10.6041 | 1.12403 | 0.562014 | − | 0.827128i | \(-0.310027\pi\) | ||||
0.562014 | + | 0.827128i | \(0.310027\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0.0104460 | + | 0.122602i | 0.00109504 | + | 0.0128521i | ||||
\(92\) | 3.16041 | + | 0.557266i | 0.329496 | + | 0.0580990i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −6.16918 | − | 7.35214i | −0.636302 | − | 0.758315i | ||||
\(95\) | 9.00059 | + | 10.7265i | 0.923441 | + | 1.10051i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −13.2580 | − | 2.33775i | −1.34615 | − | 0.237363i | −0.546313 | − | 0.837581i | \(-0.683969\pi\) |
−0.799836 | + | 0.600218i | \(0.795080\pi\) | |||||||
\(98\) | 2.72628 | + | 15.8826i | 0.275396 | + | 1.60438i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 5.28664 | 0.528664 | ||||||||
\(101\) | 13.0579 | − | 4.75270i | 1.29931 | − | 0.472911i | 0.402540 | − | 0.915403i | \(-0.368128\pi\) |
0.896773 | + | 0.442492i | \(0.145905\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 5.01435 | + | 5.97587i | 0.494079 | + | 0.588820i | 0.954250 | − | 0.299010i | \(-0.0966564\pi\) |
−0.460171 | + | 0.887830i | \(0.652212\pi\) | |||||||
\(104\) | 0.106603 | − | 0.0894506i | 0.0104533 | − | 0.00877135i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0.353925 | − | 0.128818i | 0.0343762 | − | 0.0125119i | ||||
\(107\) | −6.46785 | + | 3.73421i | −0.625271 | + | 0.361000i | −0.778918 | − | 0.627126i | \(-0.784231\pi\) |
0.153648 | + | 0.988126i | \(0.450898\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 4.37239 | − | 7.57320i | 0.418799 | − | 0.725381i | −0.577020 | − | 0.816730i | \(-0.695784\pi\) |
0.995819 | + | 0.0913488i | \(0.0291178\pi\) | |||||||
\(110\) | 0.399220 | + | 0.334985i | 0.0380641 | + | 0.0319396i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 0.541855 | − | 0.539402i | 0.0512005 | − | 0.0509687i | ||||
\(113\) | −16.2059 | + | 2.85754i | −1.52453 | + | 0.268815i | −0.872210 | − | 0.489131i | \(-0.837314\pi\) |
−0.652317 | + | 0.757947i | \(0.726203\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0.613145 | + | 1.68460i | 0.0571761 | + | 0.157090i | ||||
\(116\) | 27.8799 | − | 16.0965i | 2.58858 | − | 1.49452i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 23.6030 | − | 13.6272i | 2.17283 | − | 1.25449i | ||||
\(119\) | 0.377452 | − | 0.174968i | 0.0346010 | − | 0.0160392i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 1.90751 | + | 10.8180i | 0.173410 | + | 0.983458i | ||||
\(122\) | −5.35334 | + | 4.49198i | −0.484668 | + | 0.406685i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 5.15242 | + | 14.1562i | 0.462701 | + | 1.27126i | ||||
\(125\) | 6.08496 | + | 10.5395i | 0.544255 | + | 0.942677i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −2.14737 | + | 3.71936i | −0.190549 | + | 0.330040i | −0.945432 | − | 0.325819i | \(-0.894360\pi\) |
0.754884 | + | 0.655859i | \(0.227693\pi\) | |||||||
\(128\) | 18.5960 | + | 3.27897i | 1.64367 | + | 0.289823i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0.185454 | + | 0.0674998i | 0.0162654 | + | 0.00592012i | ||||
\(131\) | −4.06526 | − | 1.47963i | −0.355184 | − | 0.129276i | 0.158265 | − | 0.987397i | \(-0.449410\pi\) |
−0.513448 | + | 0.858120i | \(0.671632\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −8.45235 | − | 18.2340i | −0.732912 | − | 1.58109i | ||||
\(134\) | − | 22.6377i | − | 1.95560i | ||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −0.407482 | − | 0.235260i | −0.0349413 | − | 0.0201733i | ||||
\(137\) | 1.72630 | + | 0.304394i | 0.147488 | + | 0.0260061i | 0.246905 | − | 0.969040i | \(-0.420587\pi\) |
−0.0994166 | + | 0.995046i | \(0.531698\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 8.74606 | + | 10.4232i | 0.741831 | + | 0.884080i | 0.996555 | − | 0.0829338i | \(-0.0264290\pi\) |
−0.254724 | + | 0.967014i | \(0.581985\pi\) | |||||||
\(140\) | 15.5352 | + | 4.20044i | 1.31296 | + | 0.355002i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −0.398491 | + | 2.25995i | −0.0334406 | + | 0.189651i | ||||
\(143\) | −0.00285570 | − | 0.00494623i | −0.000238806 | − | 0.000413624i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 15.5744 | + | 8.99186i | 1.29338 | + | 0.746733i | ||||
\(146\) | −3.67184 | + | 20.8240i | −0.303884 | + | 1.72341i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 29.0678 | + | 10.5798i | 2.38936 | + | 0.869655i | ||||
\(149\) | −9.13243 | + | 1.61029i | −0.748158 | + | 0.131920i | −0.534712 | − | 0.845034i | \(-0.679580\pi\) |
−0.213446 | + | 0.976955i | \(0.568469\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 7.47831 | + | 6.27505i | 0.608576 | + | 0.510656i | 0.894189 | − | 0.447689i | \(-0.147753\pi\) |
−0.285613 | + | 0.958345i | \(0.592197\pi\) | |||||||
\(152\) | −11.3650 | + | 19.6847i | −0.921820 | + | 1.59664i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −0.427646 | − | 0.613700i | −0.0344607 | − | 0.0494534i | ||||
\(155\) | −5.40936 | + | 6.44663i | −0.434490 | + | 0.517806i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 5.53496 | − | 15.2072i | 0.441738 | − | 1.21366i | −0.496611 | − | 0.867973i | \(-0.665422\pi\) |
0.938348 | − | 0.345691i | \(-0.112356\pi\) | |||||||
\(158\) | −5.89346 | + | 1.03918i | −0.468859 | + | 0.0826725i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 3.35355 | + | 9.21381i | 0.265122 | + | 0.728415i | ||||
\(161\) | −0.218444 | − | 2.56381i | −0.0172158 | − | 0.202057i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 5.65656 | + | 9.79745i | 0.443056 | + | 0.767396i | 0.997915 | − | 0.0645491i | \(-0.0205609\pi\) |
−0.554858 | + | 0.831945i | \(0.687228\pi\) | |||||||
\(164\) | 3.51794 | − | 19.9512i | 0.274705 | − | 1.55793i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 5.05059 | − | 13.8764i | 0.392002 | − | 1.07702i | ||||
\(167\) | −0.331914 | − | 1.88238i | −0.0256843 | − | 0.145663i | 0.969269 | − | 0.246004i | \(-0.0791176\pi\) |
−0.994953 | + | 0.100341i | \(0.968007\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 9.95692 | + | 8.35485i | 0.765917 | + | 0.642681i | ||||
\(170\) | − | 0.667286i | − | 0.0511785i | ||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −31.9036 | −2.43263 | ||||||||
\(173\) | 22.9967 | − | 8.37010i | 1.74840 | − | 0.636367i | 0.748755 | − | 0.662847i | \(-0.230652\pi\) |
0.999649 | + | 0.0264796i | \(0.00842971\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −1.08779 | − | 4.09686i | −0.0822295 | − | 0.309693i | ||||
\(176\) | −0.0121379 | + | 0.0333486i | −0.000914928 | + | 0.00251374i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −15.6916 | + | 18.7006i | −1.17614 | + | 1.40167i | ||||
\(179\) | − | 18.4669i | − | 1.38028i | −0.723676 | − | 0.690140i | \(-0.757549\pi\) | ||
0.723676 | − | 0.690140i | \(-0.242451\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −5.58272 | − | 3.22319i | −0.414960 | − | 0.239577i | 0.277958 | − | 0.960593i | \(-0.410342\pi\) |
−0.692919 | + | 0.721016i | \(0.743676\pi\) | |||||||
\(182\) | −0.231669 | − | 0.163001i | −0.0171725 | − | 0.0120824i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −2.22925 | + | 1.87057i | −0.164343 | + | 0.137900i | ||||
\(185\) | 3.00065 | + | 17.0175i | 0.220612 | + | 1.25116i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −0.0124129 | + | 0.0147931i | −0.000907720 | + | 0.00108178i | ||||
\(188\) | 13.7567 | 1.00331 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −32.2354 | −2.33860 | ||||||||
\(191\) | 6.44902 | − | 7.68564i | 0.466635 | − | 0.556113i | −0.480481 | − | 0.877005i | \(-0.659538\pi\) |
0.947116 | + | 0.320891i | \(0.103982\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −4.27327 | − | 24.2349i | −0.307597 | − | 1.74447i | −0.611022 | − | 0.791614i | \(-0.709241\pi\) |
0.303424 | − | 0.952855i | \(-0.401870\pi\) | |||||||
\(194\) | 23.7416 | − | 19.9216i | 1.70455 | − | 1.43029i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −19.9512 | − | 11.6399i | −1.42509 | − | 0.831419i | ||||
\(197\) | −12.0988 | − | 6.98527i | −0.862007 | − | 0.497680i | 0.00267677 | − | 0.999996i | \(-0.499148\pi\) |
−0.864684 | + | 0.502316i | \(0.832481\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 12.8790i | 0.912968i | 0.889732 | + | 0.456484i | \(0.150892\pi\) | ||||
−0.889732 | + | 0.456484i | \(0.849108\pi\) | |||||||
\(200\) | −3.08149 | + | 3.67238i | −0.217894 | + | 0.259676i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −10.9413 | + | 30.0610i | −0.769827 | + | 2.11508i | ||||
\(203\) | −18.2105 | − | 18.2933i | −1.27813 | − | 1.28394i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 10.6347 | − | 3.87070i | 0.742756 | − | 0.270341i | ||||
\(206\) | −17.9587 | −1.25125 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 0.0134395i | 0.000931863i | ||||||||
\(209\) | 0.714627 | + | 0.599643i | 0.0494318 | + | 0.0414782i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −0.918282 | − | 5.20784i | −0.0632171 | − | 0.358522i | −0.999964 | − | 0.00851397i | \(-0.997290\pi\) |
0.936747 | − | 0.350008i | \(-0.113821\pi\) | |||||||
\(212\) | −0.184643 | + | 0.507302i | −0.0126813 | + | 0.0348417i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 2.98558 | − | 16.9320i | 0.204090 | − | 1.15745i | ||||
\(215\) | −8.91106 | − | 15.4344i | −0.607729 | − | 1.05262i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 9.91006 | − | 6.90565i | 0.672739 | − | 0.468786i | ||||
\(218\) | 6.88541 | + | 18.9175i | 0.466339 | + | 1.28125i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −0.735641 | + | 0.129713i | −0.0495969 | + | 0.00874527i | ||||
\(221\) | −0.00250120 | + | 0.00687200i | −0.000168249 | + | 0.000462260i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −5.38046 | + | 6.41218i | −0.360302 | + | 0.429392i | −0.915495 | − | 0.402330i | \(-0.868200\pi\) |
0.555192 | + | 0.831722i | \(0.312645\pi\) | |||||||
\(224\) | −1.19477 | − | 14.0226i | −0.0798286 | − | 0.936922i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 18.9418 | − | 32.8082i | 1.25999 | − | 2.18237i | ||||
\(227\) | 15.4623 | + | 12.9744i | 1.02627 | + | 0.861143i | 0.990402 | − | 0.138214i | \(-0.0441361\pi\) |
0.0358677 | + | 0.999357i | \(0.488581\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 5.72074 | − | 1.00872i | 0.378037 | − | 0.0666582i | 0.0185989 | − | 0.999827i | \(-0.494079\pi\) |
0.359438 | + | 0.933169i | \(0.382968\pi\) | |||||||
\(230\) | −3.87817 | − | 1.41154i | −0.255719 | − | 0.0930740i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −5.06925 | + | 28.7491i | −0.332813 | + | 1.88747i | ||||
\(233\) | −5.33662 | − | 3.08110i | −0.349614 | − | 0.201850i | 0.314901 | − | 0.949124i | \(-0.398029\pi\) |
−0.664515 | + | 0.747275i | \(0.731362\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 3.84242 | + | 6.65527i | 0.250652 | + | 0.434142i | ||||
\(236\) | −6.78365 | + | 38.4720i | −0.441578 | + | 2.50431i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −0.249985 | + | 0.924562i | −0.0162041 | + | 0.0599304i | ||||
\(239\) | −11.9974 | − | 14.2979i | −0.776046 | − | 0.924856i | 0.222702 | − | 0.974887i | \(-0.428512\pi\) |
−0.998748 | + | 0.0500310i | \(0.984068\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −12.0008 | − | 2.11606i | −0.773039 | − | 0.136308i | −0.226805 | − | 0.973940i | \(-0.572828\pi\) |
−0.546234 | + | 0.837633i | \(0.683939\pi\) | |||||||
\(242\) | −21.9006 | − | 12.6443i | −1.40782 | − | 0.812808i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | − | 10.0167i | − | 0.641256i | ||||||
\(245\) | 0.0585478 | − | 12.9032i | 0.00374048 | − | 0.824355i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 0.331973 | + | 0.120828i | 0.0211230 | + | 0.00768813i | ||||
\(248\) | −12.8368 | − | 4.67223i | −0.815141 | − | 0.296687i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −27.5910 | − | 4.86504i | −1.74501 | − | 0.307692i | ||||
\(251\) | −1.90241 | + | 3.29506i | −0.120079 | + | 0.207983i | −0.919799 | − | 0.392391i | \(-0.871648\pi\) |
0.799720 | + | 0.600373i | \(0.204981\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 0.0597177 | + | 0.103434i | 0.00375442 | + | 0.00650285i | ||||
\(254\) | −3.38157 | − | 9.29078i | −0.212178 | − | 0.582956i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −13.6537 | + | 11.4568i | −0.853355 | + | 0.716050i | ||||
\(257\) | 3.82957 | + | 21.7186i | 0.238882 | + | 1.35477i | 0.834282 | + | 0.551339i | \(0.185883\pi\) |
−0.595399 | + | 0.803430i | \(0.703006\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 2.21771 | − | 24.7029i | 0.137802 | − | 1.53496i | ||||
\(260\) | −0.244984 | + | 0.141441i | −0.0151932 | + | 0.00877182i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 8.62506 | − | 4.97968i | 0.532858 | − | 0.307646i | ||||
\(263\) | −0.651083 | − | 1.78884i | −0.0401475 | − | 0.110304i | 0.917999 | − | 0.396583i | \(-0.129804\pi\) |
−0.958146 | + | 0.286278i | \(0.907582\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −0.296997 | + | 0.0523686i | −0.0182444 | + | 0.00321698i | ||||
\(266\) | 44.6638 | + | 12.0763i | 2.73852 | + | 0.740446i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 24.8566 | + | 20.8572i | 1.51836 | + | 1.27405i | ||||
\(269\) | −6.11936 | + | 10.5990i | −0.373104 | + | 0.646235i | −0.990041 | − | 0.140777i | \(-0.955040\pi\) |
0.616937 | + | 0.787012i | \(0.288373\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 10.1008 | − | 5.83167i | 0.613577 | − | 0.354249i | −0.160787 | − | 0.986989i | \(-0.551403\pi\) |
0.774364 | + | 0.632740i | \(0.218070\pi\) | |||||||
\(272\) | 0.0427003 | − | 0.0155416i | 0.00258909 | − | 0.000942351i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −3.09135 | + | 2.59395i | −0.186755 | + | 0.156706i | ||||
\(275\) | 0.126470 | + | 0.150721i | 0.00762644 | + | 0.00908884i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 17.8050 | − | 6.48049i | 1.06980 | − | 0.389375i | 0.253698 | − | 0.967284i | \(-0.418353\pi\) |
0.816102 | + | 0.577908i | \(0.196131\pi\) | |||||||
\(278\) | −31.3238 | −1.87867 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −11.9730 | + | 8.34318i | −0.715525 | + | 0.498601i | ||||
\(281\) | −0.401346 | − | 0.0707682i | −0.0239423 | − | 0.00422168i | 0.161664 | − | 0.986846i | \(-0.448314\pi\) |
−0.185607 | + | 0.982624i | \(0.559425\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 2.99151 | + | 3.56515i | 0.177827 | + | 0.211926i | 0.847594 | − | 0.530645i | \(-0.178050\pi\) |
−0.669767 | + | 0.742571i | \(0.733606\pi\) | |||||||
\(284\) | −2.11432 | − | 2.51975i | −0.125462 | − | 0.149520i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0.0129486 | + | 0.00228319i | 0.000765668 | + | 0.000135008i | ||||
\(287\) | −16.1850 | + | 1.37901i | −0.955368 | + | 0.0814003i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −16.9753 | −0.998546 | ||||||||
\(290\) | −38.9040 | + | 14.1599i | −2.28452 | + | 0.831498i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −19.4821 | − | 23.2179i | −1.14011 | − | 1.35873i | ||||
\(293\) | −6.35829 | + | 5.33524i | −0.371455 | + | 0.311688i | −0.809337 | − | 0.587345i | \(-0.800173\pi\) |
0.437882 | + | 0.899033i | \(0.355729\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −20.5068 | + | 7.46387i | −1.19395 | + | 0.434563i | ||||
\(296\) | −24.2924 | + | 14.0252i | −1.41197 | + | 0.815199i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 10.6742 | − | 18.4882i | 0.618338 | − | 1.07099i | ||||
\(299\) | 0.0346481 | + | 0.0290732i | 0.00200375 | + | 0.00168135i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 6.56457 | + | 24.7236i | 0.378376 | + | 1.42504i | ||||
\(302\) | −22.1325 | + | 3.90255i | −1.27358 | + | 0.224567i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −0.750788 | − | 2.06277i | −0.0430606 | − | 0.118308i | ||||
\(305\) | 4.84592 | − | 2.79779i | 0.277477 | − | 0.160201i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 5.10853 | − | 2.94941i | 0.291559 | − | 0.168332i | −0.347086 | − | 0.937833i | \(-0.612829\pi\) |
0.638645 | + | 0.769502i | \(0.279495\pi\) | |||||||
\(308\) | 1.06786 | + | 0.0958678i | 0.0608472 | + | 0.00546257i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −3.36417 | − | 19.0791i | −0.191072 | − | 1.08362i | ||||
\(311\) | 10.3978 | − | 8.72479i | 0.589605 | − | 0.494737i | −0.298481 | − | 0.954416i | \(-0.596480\pi\) |
0.888085 | + | 0.459678i | \(0.152035\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −1.95490 | − | 5.37104i | −0.110497 | − | 0.303589i | 0.872103 | − | 0.489323i | \(-0.162756\pi\) |
−0.982600 | + | 0.185734i | \(0.940534\pi\) | |||||||
\(314\) | 18.6278 | + | 32.2643i | 1.05123 | + | 1.82078i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 4.28889 | − | 7.42858i | 0.241269 | − | 0.417890i | ||||
\(317\) | 2.37171 | + | 0.418197i | 0.133209 | + | 0.0234883i | 0.239855 | − | 0.970809i | \(-0.422900\pi\) |
−0.106646 | + | 0.994297i | \(0.534011\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 1.12587 | + | 0.409782i | 0.0630364 | + | 0.0229434i | ||||
\(320\) | −22.2125 | − | 8.08467i | −1.24171 | − | 0.451947i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 4.84461 | + | 3.40864i | 0.269979 | + | 0.189956i | ||||
\(323\) | − | 1.19448i | − | 0.0664627i | ||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 0.0645273 | + | 0.0372549i | 0.00357933 | + | 0.00206653i | ||||
\(326\) | −25.6485 | − | 4.52253i | −1.42054 | − | 0.250480i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 11.8086 | + | 14.0730i | 0.652022 | + | 0.777049i | ||||
\(329\) | −2.83062 | − | 10.6607i | −0.156057 | − | 0.587744i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 1.83986 | − | 10.4344i | 0.101128 | − | 0.573525i | −0.891568 | − | 0.452886i | \(-0.850394\pi\) |
0.992696 | − | 0.120639i | \(-0.0384944\pi\) | |||||||
\(332\) | 10.5832 | + | 18.3306i | 0.580827 | + | 1.00602i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 3.81079 | + | 2.20016i | 0.208517 | + | 0.120387i | ||||
\(335\) | −3.14758 | + | 17.8508i | −0.171971 | + | 0.975295i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −21.6242 | − | 7.87058i | −1.17795 | − | 0.428738i | −0.322471 | − | 0.946579i | \(-0.604514\pi\) |
−0.855477 | + | 0.517841i | \(0.826736\pi\) | |||||||
\(338\) | −29.4680 | + | 5.19601i | −1.60285 | + | 0.282626i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 0.732693 | + | 0.614802i | 0.0397359 | + | 0.0333423i | ||||
\(341\) | −0.280330 | + | 0.485547i | −0.0151807 | + | 0.0262938i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −4.91504 | + | 17.8562i | −0.265387 | + | 0.964142i | ||||
\(344\) | 18.5961 | − | 22.1619i | 1.00263 | − | 1.19489i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −19.2690 | + | 52.9412i | −1.03591 | + | 2.84614i | ||||
\(347\) | 3.79271 | − | 0.668756i | 0.203603 | − | 0.0359007i | −0.0709164 | − | 0.997482i | \(-0.522592\pi\) |
0.274519 | + | 0.961582i | \(0.411481\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −0.721690 | − | 1.98283i | −0.0386312 | − | 0.106138i | 0.918877 | − | 0.394543i | \(-0.129097\pi\) |
−0.957508 | + | 0.288405i | \(0.906875\pi\) | |||||||
\(350\) | 8.83462 | + | 4.14408i | 0.472230 | + | 0.221510i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 0.326622 | + | 0.565725i | 0.0174090 | + | 0.0301533i | ||||
\(353\) | 2.13381 | − | 12.1014i | 0.113571 | − | 0.644094i | −0.873877 | − | 0.486148i | \(-0.838402\pi\) |
0.987448 | − | 0.157946i | \(-0.0504872\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 0.628456 | − | 1.72667i | 0.0333550 | − | 0.0916421i | ||||
\(356\) | −6.07613 | − | 34.4594i | −0.322034 | − | 1.82635i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 32.5669 | + | 27.3269i | 1.72122 | + | 1.44427i | ||||
\(359\) | 30.5874i | 1.61434i | 0.590319 | + | 0.807170i | \(0.299002\pi\) | ||||
−0.590319 | + | 0.807170i | \(0.700998\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −38.7031 | −2.03701 | ||||||||
\(362\) | 13.9454 | − | 5.07570i | 0.732952 | − | 0.266773i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0.392426 | − | 0.104197i | 0.0205687 | − | 0.00546139i | ||||
\(365\) | 5.79082 | − | 15.9102i | 0.303105 | − | 0.832775i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 8.80842 | − | 10.4975i | 0.459796 | − | 0.547964i | −0.485475 | − | 0.874251i | \(-0.661353\pi\) |
0.945271 | + | 0.326287i | \(0.105798\pi\) | |||||||
\(368\) | − | 0.281044i | − | 0.0146504i | ||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −34.4513 | − | 19.8904i | −1.79104 | − | 1.03405i | ||||
\(371\) | 0.431124 | + | 0.0387043i | 0.0223829 | + | 0.00200942i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −8.95196 | + | 7.51159i | −0.463515 | + | 0.388935i | −0.844422 | − | 0.535678i | \(-0.820056\pi\) |
0.380907 | + | 0.924613i | \(0.375612\pi\) | |||||||
\(374\) | −0.00771976 | − | 0.0437810i | −0.000399180 | − | 0.00226386i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −8.01856 | + | 9.55615i | −0.413526 | + | 0.492821i | ||||
\(377\) | 0.453725 | 0.0233681 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −12.7028 | −0.652500 | −0.326250 | − | 0.945283i | \(-0.605785\pi\) | ||||
−0.326250 | + | 0.945283i | \(0.605785\pi\) | |||||||
\(380\) | 29.7000 | − | 35.3950i | 1.52358 | − | 1.81573i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 4.01075 | + | 22.7461i | 0.205208 | + | 1.16379i | ||||
\(383\) | 6.13567 | − | 5.14843i | 0.313518 | − | 0.263073i | −0.472426 | − | 0.881370i | \(-0.656622\pi\) |
0.785944 | + | 0.618297i | \(0.212177\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0.251888 | + | 0.543391i | 0.0128374 | + | 0.0276938i | ||||
\(386\) | 49.0625 | + | 28.3263i | 2.49722 | + | 1.44177i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 44.4235i | 2.25526i | ||||||||
\(389\) | 8.23656 | − | 9.81595i | 0.417610 | − | 0.497689i | −0.515695 | − | 0.856772i | \(-0.672466\pi\) |
0.933305 | + | 0.359084i | \(0.116911\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 0.0523045 | − | 0.143705i | 0.00264515 | − | 0.00726749i | ||||
\(392\) | 19.7149 | − | 7.07449i | 0.995752 | − | 0.357316i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 30.2223 | − | 11.0000i | 1.52258 | − | 0.554174i | ||||
\(395\) | 4.79175 | 0.241099 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | − | 9.99710i | − | 0.501740i | −0.968021 | − | 0.250870i | \(-0.919283\pi\) | ||
0.968021 | − | 0.250870i | \(-0.0807167\pi\) | |||||||
\(398\) | −22.7125 | − | 19.0581i | −1.13848 | − | 0.955294i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −0.0803954 | − | 0.455945i | −0.00401977 | − | 0.0227973i | ||||
\(401\) | 12.6777 | − | 34.8316i | 0.633092 | − | 1.73941i | −0.0393162 | − | 0.999227i | \(-0.512518\pi\) |
0.672409 | − | 0.740180i | \(-0.265260\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −0.0368691 | + | 0.209095i | −0.00183658 | + | 0.0104158i | ||||
\(404\) | −22.9268 | − | 39.7104i | −1.14065 | − | 1.97566i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 59.2083 | − | 5.04473i | 2.93846 | − | 0.250366i | ||||
\(407\) | 0.393748 | + | 1.08181i | 0.0195174 | + | 0.0536236i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −2.30593 | + | 0.406597i | −0.114021 | + | 0.0201050i | −0.230367 | − | 0.973104i | \(-0.573993\pi\) |
0.116347 | + | 0.993209i | \(0.462882\pi\) | |||||||
\(410\) | −8.91083 | + | 24.4823i | −0.440074 | + | 1.20909i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 16.5462 | − | 19.7190i | 0.815175 | − | 0.971488i | ||||
\(413\) | 31.2095 | − | 2.65914i | 1.53572 | − | 0.130848i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −5.91201 | + | 10.2399i | −0.290209 | + | 0.502657i | ||||
\(416\) | 0.189505 | + | 0.159014i | 0.00929125 | + | 0.00779629i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −2.11498 | + | 0.372927i | −0.103447 | + | 0.0182405i | ||||
\(419\) | 28.6465 | + | 10.4265i | 1.39947 | + | 0.509366i | 0.928022 | − | 0.372526i | \(-0.121508\pi\) |
0.471451 | + | 0.881892i | \(0.343730\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 0.369085 | − | 2.09318i | 0.0179881 | − | 0.102015i | −0.974492 | − | 0.224423i | \(-0.927950\pi\) |
0.992480 | + | 0.122407i | \(0.0390614\pi\) | |||||||
\(422\) | 10.5430 | + | 6.08702i | 0.513227 | + | 0.296311i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −0.244774 | − | 0.423960i | −0.0118873 | − | 0.0205893i | ||||
\(425\) | 0.0437466 | − | 0.248100i | 0.00212202 | − | 0.0120346i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −7.76242 | + | 2.06107i | −0.375650 | + | 0.0997423i | ||||
\(428\) | 15.8410 | + | 18.8785i | 0.765702 | + | 0.912528i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 40.4054 | + | 7.12457i | 1.94852 | + | 0.343577i | ||||
\(431\) | −1.02928 | − | 0.594254i | −0.0495786 | − | 0.0286242i | 0.475006 | − | 0.879983i | \(-0.342446\pi\) |
−0.524584 | + | 0.851358i | \(0.675779\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 11.1104i | 0.533930i | 0.963706 | + | 0.266965i | \(0.0860208\pi\) | ||||
−0.963706 | + | 0.266965i | \(0.913979\pi\) | |||||||
\(434\) | −2.48637 | + | 27.6955i | −0.119350 | + | 1.32943i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −27.1156 | − | 9.86928i | −1.29860 | − | 0.472653i | ||||
\(437\) | −6.94214 | − | 2.52673i | −0.332087 | − | 0.120870i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 5.47998 | + | 0.966269i | 0.261545 | + | 0.0461175i | 0.302883 | − | 0.953028i | \(-0.402051\pi\) |
−0.0413377 | + | 0.999145i | \(0.513162\pi\) | |||||||
\(440\) | 0.338686 | − | 0.586622i | 0.0161462 | − | 0.0279661i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −0.00841775 | − | 0.0145800i | −0.000400391 | − | 0.000693498i | ||||
\(443\) | −9.30703 | − | 25.5708i | −0.442190 | − | 1.21491i | −0.938048 | − | 0.346504i | \(-0.887369\pi\) |
0.495858 | − | 0.868403i | \(-0.334854\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 14.9737 | − | 12.5644i | 0.709823 | − | 0.595612i | ||||
\(446\) | −3.34619 | − | 18.9772i | −0.158447 | − | 0.898597i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 27.7478 | + | 19.5232i | 1.31096 | + | 0.922384i | ||||
\(449\) | 21.3299 | − | 12.3148i | 1.00662 | − | 0.581171i | 0.0964182 | − | 0.995341i | \(-0.469261\pi\) |
0.910200 | + | 0.414170i | \(0.135928\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 0.652965 | − | 0.376989i | 0.0307469 | − | 0.0177517i | ||||
\(452\) | 18.5720 | + | 51.0262i | 0.873554 | + | 2.40007i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −45.7616 | + | 8.06900i | −2.14770 | + | 0.378697i | ||||
\(455\) | 0.160018 | + | 0.160745i | 0.00750175 | + | 0.00753586i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −5.39560 | − | 4.52745i | −0.252396 | − | 0.211785i | 0.507808 | − | 0.861471i | \(-0.330456\pi\) |
−0.760203 | + | 0.649686i | \(0.774901\pi\) | |||||||
\(458\) | −6.68651 | + | 11.5814i | −0.312440 | + | 0.541162i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 5.12303 | − | 2.95778i | 0.238863 | − | 0.137907i | ||||
\(461\) | −6.82236 | + | 2.48314i | −0.317749 | + | 0.115651i | −0.495971 | − | 0.868339i | \(-0.665188\pi\) |
0.178222 | + | 0.983990i | \(0.442966\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 6.25076 | − | 5.24501i | 0.290498 | − | 0.243756i | −0.485878 | − | 0.874026i | \(-0.661500\pi\) |
0.776376 | + | 0.630270i | \(0.217056\pi\) | |||||||
\(464\) | −1.81221 | − | 2.15971i | −0.0841298 | − | 0.100262i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 13.3306 | − | 4.85195i | 0.617529 | − | 0.224762i | ||||
\(467\) | −12.7628 | −0.590592 | −0.295296 | − | 0.955406i | \(-0.595418\pi\) | ||||
−0.295296 | + | 0.955406i | \(0.595418\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 11.0486 | − | 23.5541i | 0.510177 | − | 1.08763i | ||||
\(470\) | −17.4227 | − | 3.07209i | −0.803649 | − | 0.141705i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −22.7706 | − | 27.1369i | −1.04810 | − | 1.24908i | ||||
\(473\) | −0.763218 | − | 0.909567i | −0.0350928 | − | 0.0418219i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −11.9852 | − | 2.11332i | −0.549920 | − | 0.0969657i | ||||
\(476\) | −0.784863 | − | 1.12633i | −0.0359741 | − | 0.0516253i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 42.9683 | 1.96532 | ||||||||
\(479\) | 18.7249 | − | 6.81531i | 0.855564 | − | 0.311400i | 0.123257 | − | 0.992375i | \(-0.460666\pi\) |
0.732307 | + | 0.680975i | \(0.238444\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 0.280238 | + | 0.333974i | 0.0127777 | + | 0.0152279i | ||||
\(482\) | 21.4902 | − | 18.0325i | 0.978854 | − | 0.821356i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 34.0618 | − | 12.3975i | 1.54826 | − | 0.563522i | ||||
\(485\) | −21.4913 | + | 12.4080i | −0.975869 | + | 0.563418i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −16.5334 | + | 28.6367i | −0.749200 | + | 1.29765i | 0.199007 | + | 0.979998i | \(0.436228\pi\) |
−0.948207 | + | 0.317654i | \(0.897105\pi\) | |||||||
\(488\) | 6.95815 | + | 5.83858i | 0.314981 | + | 0.264300i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 22.6685 | + | 19.1971i | 1.02406 | + | 0.867237i | ||||
\(491\) | −1.71158 | + | 0.301798i | −0.0772427 | + | 0.0136200i | −0.212136 | − | 0.977240i | \(-0.568042\pi\) |
0.134893 | + | 0.990860i | \(0.456931\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −0.524695 | − | 1.44159i | −0.0236311 | − | 0.0649258i | ||||
\(494\) | −0.704331 | + | 0.406646i | −0.0316894 | + | 0.0182959i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 1.14254 | − | 0.659646i | 0.0513015 | − | 0.0296190i | ||||
\(497\) | −1.51762 | + | 2.15696i | −0.0680746 | + | 0.0967527i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −5.96043 | − | 33.8033i | −0.266825 | − | 1.51324i | −0.763786 | − | 0.645469i | \(-0.776662\pi\) |
0.496961 | − | 0.867773i | \(-0.334449\pi\) | |||||||
\(500\) | 30.7628 | − | 25.8131i | 1.37576 | − | 1.15440i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −2.99581 | − | 8.23091i | −0.133709 | − | 0.367364i | ||||
\(503\) | 6.14413 | + | 10.6419i | 0.273953 | + | 0.474501i | 0.969870 | − | 0.243621i | \(-0.0783354\pi\) |
−0.695917 | + | 0.718122i | \(0.745002\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 12.8074 | − | 22.1831i | 0.569924 | − | 0.987137i | ||||
\(506\) | −0.270778 | − | 0.0477455i | −0.0120376 | − | 0.00212255i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 13.3171 | + | 4.84701i | 0.590849 | + | 0.215051i | ||||
\(509\) | −24.5995 | − | 8.95349i | −1.09035 | − | 0.396856i | −0.266602 | − | 0.963807i | \(-0.585901\pi\) |
−0.823752 | + | 0.566950i | \(0.808123\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −13.9839 | + | 19.8750i | −0.618612 | + | 0.879217i | ||||
\(512\) | − | 3.26654i | − | 0.144362i | ||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −43.9683 | − | 25.3851i | −1.93936 | − | 1.11969i | ||||
\(515\) | 14.1613 | + | 2.49702i | 0.624021 | + | 0.110032i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 0.329097 | + | 0.392203i | 0.0144737 | + | 0.0172490i | ||||
\(518\) | 40.2825 | + | 40.4657i | 1.76991 | + | 1.77796i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 0.0445441 | − | 0.252622i | 0.00195339 | − | 0.0110782i | ||||
\(521\) | −7.13299 | − | 12.3547i | −0.312502 | − | 0.541269i | 0.666401 | − | 0.745593i | \(-0.267834\pi\) |
−0.978903 | + | 0.204324i | \(0.934500\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 17.4049 | + | 10.0487i | 0.761062 | + | 0.439399i | 0.829677 | − | 0.558244i | \(-0.188525\pi\) |
−0.0686150 | + | 0.997643i | \(0.521858\pi\) | |||||||
\(524\) | −2.47889 | + | 14.0585i | −0.108291 | + | 0.614148i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 4.11812 | + | 1.49887i | 0.179559 | + | 0.0653540i | ||||
\(527\) | 0.706977 | − | 0.124659i | 0.0307964 | − | 0.00543024i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 16.8945 | + | 14.1761i | 0.734542 | + | 0.616354i | ||||
\(530\) | 0.347136 | − | 0.601257i | 0.0150786 | − | 0.0261169i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −54.4109 | + | 37.9153i | −2.35901 | + | 1.64384i | ||||
\(533\) | 0.183535 | − | 0.218728i | 0.00794978 | − | 0.00947418i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −4.70852 | + | 12.9366i | −0.203567 | + | 0.559297i | ||||
\(536\) | −28.9769 | + | 5.10942i | −1.25161 | + | 0.220693i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −9.63644 | − | 26.4759i | −0.415457 | − | 1.14146i | ||||
\(539\) | −0.145434 | − | 0.847262i | −0.00626430 | − | 0.0364942i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 3.47620 | + | 6.02095i | 0.149453 | + | 0.258861i | 0.931026 | − | 0.364954i | \(-0.118915\pi\) |
−0.781572 | + | 0.623815i | \(0.785582\pi\) | |||||||
\(542\) | −4.66254 | + | 26.4426i | −0.200273 | + | 1.13581i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 0.286075 | − | 0.785986i | 0.0122654 | − | 0.0336989i | ||||
\(545\) | −2.79913 | − | 15.8747i | −0.119902 | − | 0.679996i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −10.1175 | − | 8.48957i | −0.432592 | − | 0.362988i | 0.400337 | − | 0.916368i | \(-0.368893\pi\) |
−0.832929 | + | 0.553380i | \(0.813338\pi\) | |||||||
\(548\) | − | 5.78429i | − | 0.247093i | ||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −0.452949 | −0.0193138 | ||||||||
\(551\) | −69.6404 | + | 25.3470i | −2.96678 | + | 1.07982i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −6.63923 | − | 1.79513i | −0.282329 | − | 0.0763367i | ||||
\(554\) | −14.9189 | + | 40.9894i | −0.633844 | + | 1.74147i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 28.8601 | − | 34.3941i | 1.22394 | − | 1.45863i | ||||
\(557\) | 42.4357i | 1.79806i | 0.437890 | + | 0.899028i | \(0.355726\pi\) | ||||
−0.437890 | + | 0.899028i | \(0.644274\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −0.389407 | − | 0.224824i | −0.0164702 | − | 0.00950905i | ||||
\(560\) | 0.126018 | − | 1.40371i | 0.00532523 | − | 0.0593174i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 0.718705 | − | 0.603065i | 0.0303167 | − | 0.0254388i | ||||
\(563\) | 5.38665 | + | 30.5492i | 0.227020 | + | 1.28750i | 0.858785 | + | 0.512336i | \(0.171220\pi\) |
−0.631764 | + | 0.775160i | \(0.717669\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −19.4982 | + | 23.2370i | −0.820295 | + | 0.977589i | ||||
\(566\) | −10.7140 | −0.450344 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 2.98275 | 0.125154 | ||||||||
\(569\) | 7.35768 | − | 8.76854i | 0.308450 | − | 0.367596i | −0.589443 | − | 0.807810i | \(-0.700653\pi\) |
0.897893 | + | 0.440213i | \(0.145097\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 2.64153 | + | 14.9809i | 0.110545 | + | 0.626931i | 0.988860 | + | 0.148849i | \(0.0475567\pi\) |
−0.878315 | + | 0.478082i | \(0.841332\pi\) | |||||||
\(572\) | −0.0144372 | + | 0.0121142i | −0.000603648 | + | 0.000506521i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 21.5182 | − | 30.5833i | 0.898153 | − | 1.27652i | ||||
\(575\) | −1.34938 | − | 0.779063i | −0.0562729 | − | 0.0324892i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | − | 16.7644i | − | 0.697913i | −0.937139 | − | 0.348956i | \(-0.886536\pi\) | ||
0.937139 | − | 0.348956i | \(-0.113464\pi\) | |||||||
\(578\) | 25.1196 | − | 29.9364i | 1.04484 | − | 1.24519i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 20.2963 | − | 55.7635i | 0.842756 | − | 2.31545i | ||||
\(581\) | 12.0276 | − | 11.9731i | 0.498988 | − | 0.496729i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −0.0188803 | + | 0.00687185i | −0.000781940 | + | 0.000284603i | ||||
\(584\) | 27.4842 | 1.13730 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | − | 19.1080i | − | 0.789344i | ||||||
\(587\) | −1.10643 | − | 0.928404i | −0.0456672 | − | 0.0383193i | 0.619668 | − | 0.784864i | \(-0.287267\pi\) |
−0.665336 | + | 0.746544i | \(0.731712\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −6.02205 | − | 34.1528i | −0.248134 | − | 1.40724i | ||||
\(590\) | 17.1828 | − | 47.2092i | 0.707403 | − | 1.94357i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 0.470411 | − | 2.66784i | 0.0193338 | − | 0.109647i | ||||
\(593\) | 17.6222 | + | 30.5226i | 0.723657 | + | 1.25341i | 0.959524 | + | 0.281626i | \(0.0908737\pi\) |
−0.235867 | + | 0.971785i | \(0.575793\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0.325677 | − | 0.694300i | 0.0133515 | − | 0.0284635i | ||||
\(596\) | 10.4658 | + | 28.7545i | 0.428695 | + | 1.17783i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −0.102543 | + | 0.0180811i | −0.00419329 | + | 0.000739390i | ||||
\(599\) | 14.8549 | − | 40.8135i | 0.606955 | − | 1.66759i | −0.129887 | − | 0.991529i | \(-0.541462\pi\) |
0.736842 | − | 0.676065i | \(-0.236316\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −12.1502 | + | 14.4801i | −0.495618 | + | 0.590655i | −0.954637 | − | 0.297772i | \(-0.903757\pi\) |
0.459019 | + | 0.888427i | \(0.348201\pi\) | |||||||
\(602\) | −53.3148 | − | 25.0085i | −2.17295 | − | 1.01927i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 16.1066 | − | 27.8975i | 0.655369 | − | 1.13513i | ||||
\(605\) | 15.5115 | + | 13.0157i | 0.630634 | + | 0.529164i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −2.09328 | + | 0.369101i | −0.0849635 | + | 0.0149814i | −0.215968 | − | 0.976400i | \(-0.569291\pi\) |
0.131005 | + | 0.991382i | \(0.458180\pi\) | |||||||
\(608\) | −37.9695 | − | 13.8198i | −1.53987 | − | 0.560465i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −2.23689 | + | 12.6860i | −0.0905691 | + | 0.513643i | ||||
\(611\) | 0.167911 | + | 0.0969435i | 0.00679295 | + | 0.00392191i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 9.12735 | + | 15.8090i | 0.368650 | + | 0.638521i | 0.989355 | − | 0.145523i | \(-0.0464866\pi\) |
−0.620704 | + | 0.784045i | \(0.713153\pi\) | |||||||
\(614\) | −2.35811 | + | 13.3735i | −0.0951657 | + | 0.539711i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −0.689034 | + | 0.685915i | −0.0277620 | + | 0.0276363i | ||||
\(617\) | 5.58064 | + | 6.65075i | 0.224668 | + | 0.267749i | 0.866590 | − | 0.499021i | \(-0.166307\pi\) |
−0.641922 | + | 0.766770i | \(0.721863\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −38.7265 | − | 6.82853i | −1.55655 | − | 0.274462i | −0.671874 | − | 0.740666i | \(-0.734510\pi\) |
−0.884677 | + | 0.466204i | \(0.845621\pi\) | |||||||
\(620\) | 24.0488 | + | 13.8846i | 0.965824 | + | 0.557619i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 31.2476i | 1.25291i | ||||||||
\(623\) | −25.4539 | + | 11.7991i | −1.01979 | + | 0.472722i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 13.5528 | + | 4.93282i | 0.542113 | + | 0.197313i | ||||
\(626\) | 12.3648 | + | 4.50042i | 0.494197 | + | 0.179873i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −52.5895 | − | 9.27294i | −2.09855 | − | 0.370031i | ||||
\(629\) | 0.737040 | − | 1.27659i | 0.0293877 | − | 0.0509010i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 5.26401 | + | 9.11753i | 0.209557 | + | 0.362963i | 0.951575 | − | 0.307417i | \(-0.0994645\pi\) |
−0.742018 | + | 0.670380i | \(0.766131\pi\) | |||||||
\(632\) | 2.66036 | + | 7.30927i | 0.105823 | + | 0.290747i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −4.24711 | + | 3.56375i | −0.168674 | + | 0.141535i | ||||
\(635\) | 1.37471 | + | 7.79638i | 0.0545538 | + | 0.309390i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −0.161493 | − | 0.282669i | −0.00639860 | − | 0.0111998i | ||||
\(638\) | −2.38869 | + | 1.37911i | −0.0945693 | + | 0.0545996i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 30.1441 | − | 17.4037i | 1.19155 | − | 0.687941i | ||||
\(641\) | −4.22019 | − | 11.5949i | −0.166688 | − | 0.457970i | 0.828022 | − | 0.560695i | \(-0.189466\pi\) |
−0.994710 | + | 0.102725i | \(0.967244\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 22.7208 | − | 4.00630i | 0.896023 | − | 0.157993i | 0.293372 | − | 0.955998i | \(-0.405222\pi\) |
0.602650 | + | 0.798005i | \(0.294111\pi\) | |||||||
\(644\) | −8.20631 | + | 2.17893i | −0.323374 | + | 0.0858620i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 2.10650 | + | 1.76757i | 0.0828792 | + | 0.0695439i | ||||
\(647\) | 19.2253 | − | 33.2993i | 0.755826 | − | 1.30913i | −0.189137 | − | 0.981951i | \(-0.560569\pi\) |
0.944963 | − | 0.327178i | \(-0.106098\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −1.25911 | + | 0.726949i | −0.0494245 | + | 0.0285352i | ||||
\(650\) | −0.161186 | + | 0.0586669i | −0.00632224 | + | 0.00230111i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 28.5970 | − | 23.9958i | 1.11995 | − | 0.939747i | ||||
\(653\) | −9.10813 | − | 10.8547i | −0.356429 | − | 0.424775i | 0.557799 | − | 0.829976i | \(-0.311646\pi\) |
−0.914228 | + | 0.405201i | \(0.867202\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −7.49363 | + | 2.72746i | −0.292801 | + | 0.106571i | ||||
\(656\) | −1.77419 | −0.0692704 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 22.9892 | + | 10.7836i | 0.896212 | + | 0.420388i | ||||
\(659\) | −39.3185 | − | 6.93292i | −1.53163 | − | 0.270068i | −0.656640 | − | 0.754204i | \(-0.728023\pi\) |
−0.874993 | + | 0.484136i | \(0.839134\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 15.7489 | + | 18.7688i | 0.612562 | + | 0.730023i | 0.979772 | − | 0.200115i | \(-0.0641315\pi\) |
−0.367210 | + | 0.930138i | \(0.619687\pi\) | |||||||
\(662\) | 15.6787 | + | 18.6852i | 0.609372 | + | 0.726221i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −18.9021 | − | 3.33296i | −0.733545 | − | 0.129344i | ||||
\(665\) | −33.5403 | − | 15.7329i | −1.30064 | − | 0.610094i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −9.48818 | −0.367384 | ||||||||
\(668\) | −5.92687 | + | 2.15721i | −0.229318 | + | 0.0834648i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −26.8228 | − | 31.9661i | −1.03625 | − | 1.23496i | ||||
\(671\) | 0.285576 | − | 0.239627i | 0.0110245 | − | 0.00925068i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −12.2850 | + | 4.47136i | −0.473551 | + | 0.172358i | −0.567760 | − | 0.823194i | \(-0.692190\pi\) |
0.0942095 | + | 0.995552i | \(0.469968\pi\) | |||||||
\(674\) | 45.8791 | − | 26.4883i | 1.76720 | − | 1.02029i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 21.4450 | − | 37.1438i | 0.824807 | − | 1.42861i | ||||
\(677\) | 20.8680 | + | 17.5103i | 0.802021 | + | 0.672976i | 0.948689 | − | 0.316210i | \(-0.102410\pi\) |
−0.146668 | + | 0.989186i | \(0.546855\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 34.4257 | − | 9.14069i | 1.32114 | − | 0.350788i | ||||
\(680\) | −0.854147 | + | 0.150609i | −0.0327551 | + | 0.00577560i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −0.441449 | − | 1.21287i | −0.0169040 | − | 0.0464433i | ||||
\(683\) | −40.3439 | + | 23.2926i | −1.54372 | + | 0.891265i | −0.545117 | + | 0.838360i | \(0.683515\pi\) |
−0.998600 | + | 0.0529057i | \(0.983152\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 2.79834 | − | 1.61562i | 0.106919 | − | 0.0617297i | ||||
\(686\) | −24.2167 | − | 35.0910i | −0.924598 | − | 1.33978i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 0.485167 | + | 2.75152i | 0.0184968 | + | 0.104901i | ||||
\(689\) | −0.00582865 | + | 0.00489082i | −0.000222054 | + | 0.000186325i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −3.08293 | − | 8.47029i | −0.117280 | − | 0.322225i | 0.867138 | − | 0.498068i | \(-0.165957\pi\) |
−0.984418 | + | 0.175843i | \(0.943735\pi\) | |||||||
\(692\) | −40.3770 | − | 69.9350i | −1.53490 | − | 2.65853i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −4.43299 | + | 7.67816i | −0.168274 | + | 0.291459i | ||||
\(695\) | 24.7002 | + | 4.35531i | 0.936932 | + | 0.165206i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −0.907191 | − | 0.330190i | −0.0343623 | − | 0.0125069i | ||||
\(698\) | 4.56471 | + | 1.66142i | 0.172777 | + | 0.0628857i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −12.6900 | + | 5.88245i | −0.479638 | + | 0.222336i | ||||
\(701\) | 28.1670i | 1.06385i | 0.846790 | + | 0.531927i | \(0.178532\pi\) | ||||
−0.846790 | + | 0.531927i | \(0.821468\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −61.6697 | − | 35.6050i | −2.32592 | − | 1.34287i | ||||
\(704\) | −1.55090 | − | 0.273465i | −0.0584517 | − | 0.0103066i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 18.1837 | + | 21.6704i | 0.684351 | + | 0.815578i | ||||
\(707\) | −26.0559 | + | 25.9379i | −0.979932 | + | 0.975495i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −6.18586 | + | 35.0818i | −0.232315 | + | 1.31752i | 0.615880 | + | 0.787840i | \(0.288800\pi\) |
−0.848195 | + | 0.529684i | \(0.822311\pi\) | |||||||
\(710\) | 2.11506 | + | 3.66339i | 0.0793767 | + | 0.137484i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 27.4790 | + | 15.8650i | 1.02982 | + | 0.594566i | ||||
\(713\) | 0.770997 | − | 4.37254i | 0.0288741 | − | 0.163753i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −0.00989312 | − | 0.00360080i | −0.000369982 | − | 0.000134662i | ||||
\(716\) | −60.0109 | + | 10.5815i | −2.24271 | + | 0.395451i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −53.9418 | − | 45.2625i | −2.01309 | − | 1.68918i | ||||
\(719\) | −4.56902 | + | 7.91377i | −0.170396 | + | 0.295134i | −0.938558 | − | 0.345121i | \(-0.887838\pi\) |
0.768163 | + | 0.640255i | \(0.221171\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −18.6858 | − | 8.76499i | −0.695895 | − | 0.326425i | ||||
\(722\) | 57.2720 | − | 68.2541i | 2.13144 | − | 2.54016i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −7.27531 | + | 19.9888i | −0.270385 | + | 0.742876i | ||||
\(725\) | −15.3930 | + | 2.71419i | −0.571680 | + | 0.100803i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −3.56316 | − | 9.78970i | −0.132150 | − | 0.363080i | 0.855915 | − | 0.517117i | \(-0.172995\pi\) |
−0.988065 | + | 0.154037i | \(0.950772\pi\) | |||||||
\(728\) | −0.156358 | + | 0.333334i | −0.00579501 | + | 0.0123542i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 19.4889 | + | 33.7558i | 0.721317 | + | 1.24936i | ||||
\(731\) | −0.264001 | + | 1.49722i | −0.00976442 | + | 0.0553768i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 9.50030 | − | 26.1019i | 0.350902 | − | 0.964094i | −0.631180 | − | 0.775637i | \(-0.717429\pi\) |
0.982081 | − | 0.188458i | \(-0.0603488\pi\) | |||||||
\(734\) | 5.47810 | + | 31.0678i | 0.202200 | + | 1.14673i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −3.96288 | − | 3.32525i | −0.146074 | − | 0.122570i | ||||
\(737\) | 1.20762i | 0.0444831i | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −35.6793 | −1.31248 | −0.656242 | − | 0.754551i | \(-0.727855\pi\) | ||||
−0.656242 | + | 0.754551i | \(0.727855\pi\) | |||||||
\(740\) | 53.5816 | − | 19.5021i | 1.96970 | − | 0.716912i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −0.706224 | + | 0.703027i | −0.0259263 | + | 0.0258089i | ||||
\(743\) | −2.30236 | + | 6.32568i | −0.0844653 | + | 0.232067i | −0.974734 | − | 0.223369i | \(-0.928294\pi\) |
0.890269 | + | 0.455436i | \(0.150517\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −10.9877 | + | 13.0946i | −0.402558 | + | 0.479750i | ||||
\(746\) | − | 26.9025i | − | 0.984972i | ||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 0.0551849 | + | 0.0318610i | 0.00201776 | + | 0.00116495i | ||||
\(749\) | 11.3703 | − | 16.1604i | 0.415463 | − | 0.590487i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −36.6592 | + | 30.7607i | −1.33771 | + | 1.12247i | −0.355504 | + | 0.934675i | \(0.615691\pi\) |
−0.982208 | + | 0.187799i | \(0.939865\pi\) | |||||||
\(752\) | −0.209203 | − | 1.18645i | −0.00762883 | − | 0.0432653i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −0.671413 | + | 0.800158i | −0.0244514 | + | 0.0291401i | ||||
\(755\) | 17.9951 | 0.654907 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 35.1225 | 1.27655 | 0.638274 | − | 0.769809i | \(-0.279649\pi\) | ||||
0.638274 | + | 0.769809i | \(0.279649\pi\) | |||||||
\(758\) | 18.7974 | − | 22.4018i | 0.682751 | − | 0.813671i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 7.27565 | + | 41.2623i | 0.263916 | + | 1.49674i | ||||
\(761\) | 26.2041 | − | 21.9878i | 0.949897 | − | 0.797059i | −0.0293828 | − | 0.999568i | \(-0.509354\pi\) |
0.979280 | + | 0.202510i | \(0.0649097\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −2.06877 | + | 23.0438i | −0.0748943 | + | 0.834243i | ||||
\(764\) | −28.6709 | − | 16.5532i | −1.03728 | − | 0.598872i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 18.4390i | 0.666227i | ||||||||
\(767\) | −0.353910 | + | 0.421774i | −0.0127790 | + | 0.0152294i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −3.20130 | + | 8.79549i | −0.115442 | + | 0.317174i | −0.983935 | − | 0.178528i | \(-0.942867\pi\) |
0.868493 | + | 0.495701i | \(0.165089\pi\) | |||||||
\(770\) | −1.33102 | − | 0.359885i | −0.0479668 | − | 0.0129694i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −76.3064 | + | 27.7733i | −2.74633 | + | 0.999582i | ||||
\(773\) | −20.1128 | −0.723406 | −0.361703 | − | 0.932293i | \(-0.617805\pi\) | ||||
−0.361703 | + | 0.932293i | \(0.617805\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | − | 7.31425i | − | 0.262736i | ||||||
\(776\) | −30.8589 | − | 25.8936i | −1.10777 | − | 0.929528i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 5.12245 | + | 29.0509i | 0.183649 | + | 1.04152i | ||||
\(779\) | −15.9509 | + | 43.8247i | −0.571500 | + | 1.57018i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 0.0212576 | − | 0.120558i | 0.000760658 | − | 0.00431391i | ||||
\(782\) | 0.176030 | + | 0.304892i | 0.00629481 | + | 0.0109029i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −0.700474 | + | 1.89770i | −0.0250169 | + | 0.0677750i | ||||
\(785\) | −10.2028 | − | 28.0319i | −0.364153 | − | 1.00050i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 47.3837 | − | 8.35503i | 1.68905 | − | 0.297825i | 0.755200 | − | 0.655495i | \(-0.227540\pi\) |
0.933848 | + | 0.357670i | \(0.116429\pi\) | |||||||
\(788\) | −15.7670 | + | 43.3195i | −0.561677 | + | 1.54319i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −7.09073 | + | 8.45040i | −0.252277 | + | 0.300652i | ||||
\(791\) | 35.7211 | − | 24.8916i | 1.27010 | − | 0.885043i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 0.0705878 | − | 0.122262i | 0.00250665 | − | 0.00434164i | ||||
\(794\) | 17.6302 | + | 14.7935i | 0.625672 | + | 0.525001i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 41.8522 | − | 7.37968i | 1.48341 | − | 0.261566i | ||||
\(797\) | 30.7365 | + | 11.1872i | 1.08874 | + | 0.396270i | 0.823155 | − | 0.567817i | \(-0.192212\pi\) |
0.265588 | + | 0.964087i | \(0.414434\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 0.113836 | − | 0.645597i | 0.00402724 | − | 0.0228396i | ||||
\(800\) | −7.38032 | − | 4.26103i | −0.260934 | − | 0.150650i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 42.6664 | + | 73.9004i | 1.50660 | + | 2.60952i | ||||
\(803\) | 0.195876 | − | 1.11087i | 0.00691230 | − | 0.0392016i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −3.34625 | − | 3.36147i | −0.117940 | − | 0.118476i | ||||
\(806\) | −0.314187 | − | 0.374434i | −0.0110668 | − | 0.0131889i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 40.9485 | + | 7.22032i | 1.44056 | + | 0.254010i | ||||
\(809\) | 2.72104 | + | 1.57099i | 0.0956666 | + | 0.0552332i | 0.547070 | − | 0.837087i | \(-0.315743\pi\) |
−0.451403 | + | 0.892320i | \(0.649076\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 36.4973i | 1.28159i | 0.767711 | + | 0.640797i | \(0.221396\pi\) | ||||
−0.767711 | + | 0.640797i | \(0.778604\pi\) | |||||||
\(812\) | −49.0122 | + | 69.6598i | −1.71999 | + | 2.44458i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −2.49047 | − | 0.906458i | −0.0872910 | − | 0.0317713i | ||||
\(815\) | 19.5962 | + | 7.13244i | 0.686426 | + | 0.249839i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 72.3280 | + | 12.7534i | 2.53044 | + | 0.446184i | ||||
\(818\) | 2.69521 | − | 4.66825i | 0.0942360 | − | 0.163221i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −18.6721 | − | 32.3409i | −0.652056 | − | 1.12939i | ||||
\(821\) | 15.7386 | + | 43.2415i | 0.549282 | + | 1.50914i | 0.834683 | + | 0.550731i | \(0.185651\pi\) |
−0.285401 | + | 0.958408i | \(0.592127\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 32.5272 | − | 27.2935i | 1.13383 | − | 0.951393i | 0.134607 | − | 0.990899i | \(-0.457023\pi\) |
0.999219 | + | 0.0395062i | \(0.0125785\pi\) | |||||||
\(824\) | 4.05336 | + | 22.9878i | 0.141206 | + | 0.800817i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −41.4936 | + | 58.9738i | −1.44375 | + | 2.05196i | ||||
\(827\) | 9.94149 | − | 5.73972i | 0.345699 | − | 0.199590i | −0.317090 | − | 0.948395i | \(-0.602706\pi\) |
0.662789 | + | 0.748806i | \(0.269372\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 32.3724 | − | 18.6902i | 1.12434 | − | 0.649137i | 0.181834 | − | 0.983329i | \(-0.441797\pi\) |
0.942505 | + | 0.334192i | \(0.108463\pi\) | |||||||
\(830\) | −9.30992 | − | 25.5788i | −0.323152 | − | 0.887853i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −0.587321 | + | 0.103561i | −0.0203617 | + | 0.00359032i | ||||
\(833\) | −0.711349 | + | 0.839983i | −0.0246468 | + | 0.0291037i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −2.69906 | − | 2.26478i | −0.0934050 | − | 0.0783761i | ||||
\(836\) | 1.53915 | − | 2.66588i | 0.0532325 | − | 0.0922014i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −60.7778 | + | 35.0901i | −2.09954 | + | 1.21217i | ||||
\(839\) | 14.8437 | − | 5.40267i | 0.512462 | − | 0.186521i | −0.0728286 | − | 0.997344i | \(-0.523203\pi\) |
0.585291 | + | 0.810824i | \(0.300980\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −50.6977 | + | 42.5404i | −1.74820 | + | 1.46691i | ||||
\(842\) | 3.14523 | + | 3.74833i | 0.108392 | + | 0.129176i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −16.3975 | + | 5.96818i | −0.564424 | + | 0.205433i | ||||
\(845\) | 23.9594 | 0.824227 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −16.6160 | − | 23.8451i | −0.570933 | − | 0.819326i | ||||
\(848\) | 0.0465601 | + | 0.00820980i | 0.00159888 | + | 0.000281926i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 0.372796 | + | 0.444281i | 0.0127868 | + | 0.0152387i | ||||
\(851\) | −5.86026 | − | 6.98398i | −0.200887 | − | 0.239408i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 30.8230 | + | 5.43493i | 1.05536 | + | 0.186089i | 0.674297 | − | 0.738460i | \(-0.264447\pi\) |
0.381064 | + | 0.924549i | \(0.375558\pi\) | |||||||
\(854\) | 7.85190 | − | 16.7392i | 0.268686 | − | 0.572803i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −22.3474 | −0.763819 | ||||||||
\(857\) | 25.0495 | − | 9.11726i | 0.855673 | − | 0.311440i | 0.123322 | − | 0.992367i | \(-0.460645\pi\) |
0.732351 | + | 0.680927i | \(0.238423\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 18.2968 | + | 21.8052i | 0.624278 | + | 0.743985i | 0.981800 | − | 0.189920i | \(-0.0608228\pi\) |
−0.357522 | + | 0.933905i | \(0.616378\pi\) | |||||||
\(860\) | −45.0503 | + | 37.8017i | −1.53620 | + | 1.28903i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 2.57109 | − | 0.935799i | 0.0875716 | − | 0.0318734i | ||||
\(863\) | 2.69995 | − | 1.55882i | 0.0919074 | − | 0.0530628i | −0.453342 | − | 0.891337i | \(-0.649768\pi\) |
0.545249 | + | 0.838274i | \(0.316435\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 22.5555 | − | 39.0673i | 0.766911 | − | 1.32833i | ||||
\(866\) | −19.5935 | − | 16.4409i | −0.665813 | − | 0.558683i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −28.1194 | − | 28.2473i | −0.954434 | − | 0.958775i | ||||
\(869\) | 0.314389 | − | 0.0554353i | 0.0106649 | − | 0.00188051i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 0.156413 | + | 0.429741i | 0.00529985 | + | 0.0145612i | ||||
\(872\) | 22.6609 | − | 13.0833i | 0.767396 | − | 0.443056i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 14.7288 | − | 8.50367i | 0.498208 | − | 0.287641i | ||||
\(875\) | −26.3335 | − | 18.5281i | −0.890236 | − | 0.626365i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 1.13187 | + | 6.41916i | 0.0382206 | + | 0.216760i | 0.997936 | − | 0.0642135i | \(-0.0204539\pi\) |
−0.959716 | + | 0.280973i | \(0.909343\pi\) | |||||||
\(878\) | −9.81320 | + | 8.23425i | −0.331179 | + | 0.277892i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 0.0223742 | + | 0.0614726i | 0.000754234 | + | 0.00207224i | ||||
\(881\) | 0.192986 | + | 0.334261i | 0.00650186 | + | 0.0112615i | 0.869258 | − | 0.494359i | \(-0.164597\pi\) |
−0.862756 | + | 0.505620i | \(0.831264\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 6.61385 | − | 11.4555i | 0.222574 | − | 0.385509i | −0.733015 | − | 0.680212i | \(-0.761888\pi\) |
0.955589 | + | 0.294704i | \(0.0952209\pi\) | |||||||
\(884\) | 0.0237648 | + | 0.00419037i | 0.000799295 | + | 0.000140937i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 58.8673 | + | 21.4259i | 1.97768 | + | 0.719818i | ||||
\(887\) | 22.2545 | + | 8.09998i | 0.747233 | + | 0.271971i | 0.687441 | − | 0.726240i | \(-0.258734\pi\) |
0.0597923 | + | 0.998211i | \(0.480956\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 1.01601 | − | 11.3173i | 0.0340760 | − | 0.379571i | ||||
\(890\) | 44.9992i | 1.50838i | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 23.9203 | + | 13.8104i | 0.800912 | + | 0.462407i | ||||
\(893\) | −31.1876 | − | 5.49922i | −1.04365 | − | 0.184024i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −21.8809 | − | 26.0767i | −0.731398 | − | 0.871647i | ||||
\(896\) | −48.2862 | + | 12.8209i | −1.61313 | + | 0.428316i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −9.84592 | + | 55.8390i | −0.328563 | + | 1.86337i | ||||
\(899\) | −22.2700 | − | 38.5728i | −0.742746 | − | 1.28647i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 0.0222796 | + | 0.0128631i | 0.000742240 | + | 0.000428532i | ||||
\(902\) | −0.301410 | + | 1.70938i | −0.0100359 | + | 0.0569162i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −46.2708 | − | 16.8412i | −1.53894 | − | 0.560129i | ||||
\(905\) | −11.7023 | + | 2.06343i | −0.388997 | + | 0.0685907i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 9.64234 | + | 8.09089i | 0.320169 | + | 0.268653i | 0.788680 | − | 0.614804i | \(-0.210765\pi\) |
−0.468511 | + | 0.883458i | \(0.655209\pi\) | |||||||
\(908\) | 33.3024 | − | 57.6814i | 1.10518 | − | 1.91423i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −0.520270 | + | 0.0443286i | −0.0172468 | + | 0.00146948i | ||||
\(911\) | −12.9220 | + | 15.3999i | −0.428125 | + | 0.510220i | −0.936380 | − | 0.350987i | \(-0.885846\pi\) |
0.508255 | + | 0.861207i | \(0.330291\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −0.269425 | + | 0.740240i | −0.00891668 | + | 0.0244984i | ||||
\(914\) | 15.9686 | − | 2.81569i | 0.528193 | − | 0.0931347i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −6.55597 | − | 18.0124i | −0.216615 | − | 0.595146i | ||||
\(917\) | 11.4046 | − | 0.971709i | 0.376614 | − | 0.0320886i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −4.76251 | − | 8.24891i | −0.157101 | − | 0.272106i | 0.776721 | − | 0.629845i | \(-0.216881\pi\) |
−0.933822 | + | 0.357738i | \(0.883548\pi\) | |||||||
\(920\) | −0.931494 | + | 5.28276i | −0.0307104 | + | 0.174168i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 5.71649 | − | 15.7059i | 0.188263 | − | 0.517247i | ||||
\(923\) | −0.00805021 | − | 0.0456550i | −0.000264976 | − | 0.00150275i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −11.5051 | − | 9.65393i | −0.378286 | − | 0.317419i | ||||
\(926\) | 18.7849i | 0.617309i | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −51.8949 | −1.70353 | ||||||||
\(929\) | 45.8614 | − | 16.6922i | 1.50467 | − | 0.547653i | 0.547402 | − | 0.836870i | \(-0.315617\pi\) |
0.957264 | + | 0.289217i | \(0.0933948\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 40.5780 | + | 34.3639i | 1.32989 | + | 1.12623i | ||||
\(932\) | −6.95460 | + | 19.1076i | −0.227805 | + | 0.625890i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 18.8861 | − | 22.5076i | 0.617972 | − | 0.736471i | ||||
\(935\) | 0.0355966i | 0.00116413i | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −14.6214 | − | 8.44169i | −0.477661 | − | 0.275778i | 0.241780 | − | 0.970331i | \(-0.422269\pi\) |
−0.719441 | + | 0.694553i | \(0.755602\pi\) | |||||||
\(938\) | 25.1889 | + | 54.3394i | 0.822448 | + | 1.77424i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 19.4256 | − | 16.3000i | 0.633592 | − | 0.531647i | ||||
\(941\) | −1.58531 | − | 8.99075i | −0.0516797 | − | 0.293090i | 0.948004 | − | 0.318260i | \(-0.103098\pi\) |
−0.999683 | + | 0.0251698i | \(0.991987\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −3.83803 | + | 4.57399i | −0.124984 | + | 0.148950i | ||||
\(944\) | 3.42117 | 0.111349 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 2.73344 | 0.0888718 | ||||||||
\(947\) | −25.8747 | + | 30.8363i | −0.840815 | + | 1.00204i | 0.159076 | + | 0.987266i | \(0.449148\pi\) |
−0.999891 | + | 0.0147774i | \(0.995296\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −0.0741775 | − | 0.420682i | −0.00240790 | − | 0.0136559i | ||||
\(950\) | 21.4624 | − | 18.0091i | 0.696331 | − | 0.584291i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 1.23989 | + | 0.111311i | 0.0401851 | + | 0.00360762i | ||||
\(953\) | 15.4047 | + | 8.89392i | 0.499008 | + | 0.288102i | 0.728304 | − | 0.685254i | \(-0.240309\pi\) |
−0.229296 | + | 0.973357i | \(0.573642\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | − | 18.4940i | − | 0.598451i | ||||||
\(956\) | −39.5887 | + | 47.1800i | −1.28039 | + | 1.52591i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −15.6897 | + | 43.1071i | −0.506911 | + | 1.39273i | ||||
\(959\) | −4.48251 | + | 1.19019i | −0.144748 | + | 0.0384333i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −9.54495 | + | 3.47408i | −0.307902 | + | 0.112067i | ||||
\(962\) | −1.00366 | −0.0323594 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 40.2108i | 1.29510i | ||||||||
\(965\) | −34.7495 | − | 29.1583i | −1.11863 | − | 0.938639i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −2.19010 | − | 12.4206i | −0.0704287 | − | 0.399421i | −0.999560 | − | 0.0296704i | \(-0.990554\pi\) |
0.929131 | − | 0.369751i | \(-0.120557\pi\) | |||||||
\(968\) | −11.2421 | + | 30.8874i | −0.361334 | + | 0.992757i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 9.92044 | − | 56.2616i | 0.318526 | − | 1.80645i | ||||
\(971\) | 9.58786 | + | 16.6067i | 0.307689 | + | 0.532933i | 0.977856 | − | 0.209277i | \(-0.0671110\pi\) |
−0.670167 | + | 0.742210i | \(0.733778\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −32.5918 | − | 15.2879i | −1.04485 | − | 0.490109i | ||||
\(974\) | −26.0359 | − | 71.5330i | −0.834244 | − | 2.29207i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −0.863892 | + | 0.152327i | −0.0276525 | + | 0.00487588i | ||||
\(977\) | −8.45265 | + | 23.2235i | −0.270424 | + | 0.742985i | 0.727931 | + | 0.685651i | \(0.240482\pi\) |
−0.998355 | + | 0.0573341i | \(0.981740\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 0.837076 | − | 0.997588i | 0.0267531 | − | 0.0318831i | ||||
\(980\) | −41.9644 | + | 7.20328i | −1.34050 | + | 0.230100i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 2.00053 | − | 3.46502i | 0.0638395 | − | 0.110573i | ||||
\(983\) | −13.0228 | − | 10.9274i | −0.415363 | − | 0.348531i | 0.411033 | − | 0.911620i | \(-0.365168\pi\) |
−0.826396 | + | 0.563090i | \(0.809613\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −25.3611 | + | 4.47185i | −0.808073 | + | 0.142485i | ||||
\(986\) | 3.31871 | + | 1.20791i | 0.105689 | + | 0.0384678i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 0.202429 | − | 1.14803i | 0.00644012 | − | 0.0365237i | ||||
\(989\) | 8.14317 | + | 4.70146i | 0.258938 | + | 0.149498i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 1.42204 | + | 2.46304i | 0.0451725 | + | 0.0782411i | 0.887728 | − | 0.460369i | \(-0.152283\pi\) |
−0.842555 | + | 0.538610i | \(0.818950\pi\) | |||||||
\(992\) | 4.21691 | − | 23.9153i | 0.133887 | − | 0.759311i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −1.55811 | − | 5.86818i | −0.0494204 | − | 0.186127i | ||||
\(995\) | 15.2600 | + | 18.1861i | 0.483774 | + | 0.576539i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 34.6537 | + | 6.11039i | 1.09750 | + | 0.193518i | 0.692940 | − | 0.720995i | \(-0.256315\pi\) |
0.404555 | + | 0.914513i | \(0.367426\pi\) | |||||||
\(998\) | 68.4332 | + | 39.5099i | 2.16621 | + | 1.25066i | ||||
\(999\) | 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 | 567.2.ba.a.143.3 | 132 | ||
3.2 | odd | 2 | 189.2.ba.a.101.20 | ✓ | 132 | ||
7.5 | odd | 6 | 567.2.bd.a.467.20 | 132 | |||
21.5 | even | 6 | 189.2.bd.a.47.3 | yes | 132 | ||
27.4 | even | 9 | 189.2.bd.a.185.3 | yes | 132 | ||
27.23 | odd | 18 | 567.2.bd.a.17.20 | 132 | |||
189.131 | even | 18 | inner | 567.2.ba.a.341.3 | 132 | ||
189.166 | odd | 18 | 189.2.ba.a.131.20 | yes | 132 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
189.2.ba.a.101.20 | ✓ | 132 | 3.2 | odd | 2 | ||
189.2.ba.a.131.20 | yes | 132 | 189.166 | odd | 18 | ||
189.2.bd.a.47.3 | yes | 132 | 21.5 | even | 6 | ||
189.2.bd.a.185.3 | yes | 132 | 27.4 | even | 9 | ||
567.2.ba.a.143.3 | 132 | 1.1 | even | 1 | trivial | ||
567.2.ba.a.341.3 | 132 | 189.131 | even | 18 | inner | ||
567.2.bd.a.17.20 | 132 | 27.23 | odd | 18 | |||
567.2.bd.a.467.20 | 132 | 7.5 | odd | 6 |