Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [144,2,Mod(11,144)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(144, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 3, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("144.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 144 = 2^{4} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 144.u (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.14984578911\) |
Analytic rank: | \(0\) |
Dimension: | \(88\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 83.20 | ||
Character | \(\chi\) | \(=\) | 144.83 |
Dual form | 144.2.u.a.59.20 |
$q$-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 \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).
\(n\) | \(37\) | \(65\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.20346 | − | 0.742754i | 0.850975 | − | 0.525207i | ||||
\(3\) | 0.819834 | − | 1.52574i | 0.473331 | − | 0.880884i | ||||
\(4\) | 0.896632 | − | 1.78775i | 0.448316 | − | 0.893875i | ||||
\(5\) | −0.206232 | + | 0.769670i | −0.0922300 | + | 0.344207i | −0.996585 | − | 0.0825742i | \(-0.973686\pi\) |
0.904355 | + | 0.426781i | \(0.140353\pi\) | |||||||
\(6\) | −0.146610 | − | 2.44510i | −0.0598534 | − | 0.998207i | ||||
\(7\) | −2.17574 | + | 3.76849i | −0.822352 | + | 1.42436i | 0.0815745 | + | 0.996667i | \(0.474005\pi\) |
−0.903926 | + | 0.427688i | \(0.859328\pi\) | |||||||
\(8\) | −0.248799 | − | 2.81746i | −0.0879638 | − | 0.996124i | ||||
\(9\) | −1.65574 | − | 2.50170i | −0.551915 | − | 0.833901i | ||||
\(10\) | 0.323483 | + | 1.07945i | 0.102294 | + | 0.341351i | ||||
\(11\) | 1.05570 | + | 3.93991i | 0.318304 | + | 1.18793i | 0.920874 | + | 0.389861i | \(0.127477\pi\) |
−0.602570 | + | 0.798066i | \(0.705856\pi\) | |||||||
\(12\) | −1.99255 | − | 2.83368i | −0.575199 | − | 0.818014i | ||||
\(13\) | −0.454903 | + | 1.69772i | −0.126167 | + | 0.470863i | −0.999879 | − | 0.0155820i | \(-0.995040\pi\) |
0.873711 | + | 0.486445i | \(0.161707\pi\) | |||||||
\(14\) | 0.180648 | + | 6.15127i | 0.0482803 | + | 1.64400i | ||||
\(15\) | 1.00524 | + | 0.945658i | 0.259551 | + | 0.244168i | ||||
\(16\) | −2.39210 | − | 3.20591i | −0.598026 | − | 0.801477i | ||||
\(17\) | − | 6.68683i | − | 1.62180i | −0.585188 | − | 0.810898i | \(-0.698979\pi\) | ||
0.585188 | − | 0.810898i | \(-0.301021\pi\) | |||||||
\(18\) | −3.85077 | − | 1.78089i | −0.907636 | − | 0.419759i | ||||
\(19\) | −0.708282 | + | 0.708282i | −0.162491 | + | 0.162491i | −0.783669 | − | 0.621178i | \(-0.786654\pi\) |
0.621178 | + | 0.783669i | \(0.286654\pi\) | |||||||
\(20\) | 1.19106 | + | 1.05880i | 0.266330 | + | 0.236755i | ||||
\(21\) | 3.96598 | + | 6.40914i | 0.865447 | + | 1.39859i | ||||
\(22\) | 4.19687 | + | 3.95740i | 0.894776 | + | 0.843720i | ||||
\(23\) | 3.88191 | − | 2.24122i | 0.809433 | − | 0.467327i | −0.0373258 | − | 0.999303i | \(-0.511884\pi\) |
0.846759 | + | 0.531977i | \(0.178551\pi\) | |||||||
\(24\) | −4.50268 | − | 1.93025i | −0.919106 | − | 0.394011i | ||||
\(25\) | 3.78027 | + | 2.18254i | 0.756053 | + | 0.436508i | ||||
\(26\) | 0.713532 | + | 2.38102i | 0.139935 | + | 0.466956i | ||||
\(27\) | −5.17437 | + | 0.475249i | −0.995809 | + | 0.0914618i | ||||
\(28\) | 4.78628 | + | 7.26863i | 0.904523 | + | 1.37364i | ||||
\(29\) | −1.06907 | − | 3.98981i | −0.198520 | − | 0.740888i | −0.991327 | − | 0.131415i | \(-0.958048\pi\) |
0.792807 | − | 0.609473i | \(-0.208619\pi\) | |||||||
\(30\) | 1.91215 | + | 0.391417i | 0.349110 | + | 0.0714627i | ||||
\(31\) | −4.94177 | + | 2.85313i | −0.887568 | + | 0.512437i | −0.873146 | − | 0.487459i | \(-0.837924\pi\) |
−0.0144215 | + | 0.999896i | \(0.504591\pi\) | |||||||
\(32\) | −5.26000 | − | 2.08144i | −0.929846 | − | 0.367949i | ||||
\(33\) | 6.87676 | + | 1.61936i | 1.19709 | + | 0.281894i | ||||
\(34\) | −4.96668 | − | 8.04734i | −0.851778 | − | 1.38011i | ||||
\(35\) | −2.45179 | − | 2.45179i | −0.414427 | − | 0.414427i | ||||
\(36\) | −5.95701 | + | 0.716953i | −0.992835 | + | 0.119492i | ||||
\(37\) | −1.51665 | + | 1.51665i | −0.249335 | + | 0.249335i | −0.820698 | − | 0.571363i | \(-0.806415\pi\) |
0.571363 | + | 0.820698i | \(0.306415\pi\) | |||||||
\(38\) | −0.326309 | + | 1.37847i | −0.0529344 | + | 0.223617i | ||||
\(39\) | 2.21733 | + | 2.08591i | 0.355057 | + | 0.334013i | ||||
\(40\) | 2.21983 | + | 0.389559i | 0.350986 | + | 0.0615947i | ||||
\(41\) | 1.36389 | + | 2.36233i | 0.213005 | + | 0.368935i | 0.952653 | − | 0.304058i | \(-0.0983418\pi\) |
−0.739649 | + | 0.672993i | \(0.765008\pi\) | |||||||
\(42\) | 9.53331 | + | 4.76740i | 1.47102 | + | 0.735625i | ||||
\(43\) | −8.60436 | + | 2.30553i | −1.31215 | + | 0.351590i | −0.846033 | − | 0.533131i | \(-0.821015\pi\) |
−0.466120 | + | 0.884722i | \(0.654348\pi\) | |||||||
\(44\) | 7.99014 | + | 1.64533i | 1.20456 | + | 0.248042i | ||||
\(45\) | 2.26695 | − | 0.758445i | 0.337937 | − | 0.113062i | ||||
\(46\) | 3.00704 | − | 5.58052i | 0.443364 | − | 0.822803i | ||||
\(47\) | 1.23164 | − | 2.13327i | 0.179654 | − | 0.311169i | −0.762108 | − | 0.647449i | \(-0.775836\pi\) |
0.941762 | + | 0.336280i | \(0.109169\pi\) | |||||||
\(48\) | −6.85250 | + | 1.02141i | −0.989073 | + | 0.147427i | ||||
\(49\) | −5.96768 | − | 10.3363i | −0.852525 | − | 1.47662i | ||||
\(50\) | 6.17049 | − | 0.181213i | 0.872639 | − | 0.0256274i | ||||
\(51\) | −10.2023 | − | 5.48209i | −1.42861 | − | 0.767647i | ||||
\(52\) | 2.62722 | + | 2.33548i | 0.364330 | + | 0.323873i | ||||
\(53\) | 1.68291 | + | 1.68291i | 0.231165 | + | 0.231165i | 0.813179 | − | 0.582014i | \(-0.197735\pi\) |
−0.582014 | + | 0.813179i | \(0.697735\pi\) | |||||||
\(54\) | −5.87416 | + | 4.41523i | −0.799372 | + | 0.600837i | ||||
\(55\) | −3.25015 | −0.438250 | ||||||||
\(56\) | 11.1589 | + | 5.19247i | 1.49117 | + | 0.693872i | ||||
\(57\) | 0.499978 | + | 1.66133i | 0.0662237 | + | 0.220048i | ||||
\(58\) | −4.25002 | − | 4.00752i | −0.558055 | − | 0.526213i | ||||
\(59\) | −1.00516 | − | 0.269331i | −0.130860 | − | 0.0350640i | 0.192794 | − | 0.981239i | \(-0.438245\pi\) |
−0.323655 | + | 0.946175i | \(0.604912\pi\) | |||||||
\(60\) | 2.59193 | − | 0.949206i | 0.334616 | − | 0.122542i | ||||
\(61\) | 1.97401 | − | 0.528935i | 0.252747 | − | 0.0677232i | −0.130221 | − | 0.991485i | \(-0.541569\pi\) |
0.382968 | + | 0.923762i | \(0.374902\pi\) | |||||||
\(62\) | −3.82804 | + | 7.10415i | −0.486162 | + | 0.902228i | ||||
\(63\) | 13.0301 | − | 0.796606i | 1.64164 | − | 0.100363i | ||||
\(64\) | −7.87620 | + | 1.40197i | −0.984525 | + | 0.175246i | ||||
\(65\) | −1.21287 | − | 0.700250i | −0.150438 | − | 0.0868553i | ||||
\(66\) | 9.47869 | − | 3.15891i | 1.16675 | − | 0.388835i | ||||
\(67\) | 8.01120 | + | 2.14659i | 0.978723 | + | 0.262248i | 0.712507 | − | 0.701665i | \(-0.247560\pi\) |
0.266217 | + | 0.963913i | \(0.414226\pi\) | |||||||
\(68\) | −11.9544 | − | 5.99563i | −1.44968 | − | 0.727077i | ||||
\(69\) | −0.236992 | − | 7.76019i | −0.0285305 | − | 0.934217i | ||||
\(70\) | −4.77170 | − | 1.12955i | −0.570327 | − | 0.135007i | ||||
\(71\) | − | 8.05218i | − | 0.955618i | −0.878464 | − | 0.477809i | \(-0.841431\pi\) | ||
0.878464 | − | 0.477809i | \(-0.158569\pi\) | |||||||
\(72\) | −6.63650 | + | 5.28742i | −0.782120 | + | 0.623128i | ||||
\(73\) | − | 9.73126i | − | 1.13896i | −0.822006 | − | 0.569479i | \(-0.807145\pi\) | ||
0.822006 | − | 0.569479i | \(-0.192855\pi\) | |||||||
\(74\) | −0.698727 | + | 2.95172i | −0.0812254 | + | 0.343130i | ||||
\(75\) | 6.42917 | − | 3.97837i | 0.742377 | − | 0.459383i | ||||
\(76\) | 0.631163 | + | 1.90130i | 0.0723994 | + | 0.218094i | ||||
\(77\) | −17.1444 | − | 4.59383i | −1.95379 | − | 0.523516i | ||||
\(78\) | 4.21779 | + | 0.863379i | 0.477570 | + | 0.0977584i | ||||
\(79\) | 11.9835 | + | 6.91865i | 1.34824 | + | 0.778409i | 0.988001 | − | 0.154449i | \(-0.0493604\pi\) |
0.360243 | + | 0.932858i | \(0.382694\pi\) | |||||||
\(80\) | 2.96082 | − | 1.17997i | 0.331030 | − | 0.131924i | ||||
\(81\) | −3.51702 | + | 8.28436i | −0.390780 | + | 0.920484i | ||||
\(82\) | 3.39603 | + | 1.82994i | 0.375028 | + | 0.202083i | ||||
\(83\) | 3.05012 | − | 0.817277i | 0.334794 | − | 0.0897078i | −0.0875058 | − | 0.996164i | \(-0.527890\pi\) |
0.422300 | + | 0.906456i | \(0.361223\pi\) | |||||||
\(84\) | 15.0140 | − | 1.34354i | 1.63816 | − | 0.146592i | ||||
\(85\) | 5.14666 | + | 1.37904i | 0.558233 | + | 0.149578i | ||||
\(86\) | −8.64256 | + | 9.16554i | −0.931951 | + | 0.988346i | ||||
\(87\) | −6.96385 | − | 1.63987i | −0.746603 | − | 0.175812i | ||||
\(88\) | 10.8379 | − | 3.95463i | 1.15532 | − | 0.421565i | ||||
\(89\) | 1.71120 | 0.181386 | 0.0906932 | − | 0.995879i | \(-0.471092\pi\) | ||||
0.0906932 | + | 0.995879i | \(0.471092\pi\) | |||||||
\(90\) | 2.16485 | − | 2.59655i | 0.228195 | − | 0.273700i | ||||
\(91\) | −5.40809 | − | 5.40809i | −0.566922 | − | 0.566922i | ||||
\(92\) | −0.526101 | − | 8.94943i | −0.0548498 | − | 0.933042i | ||||
\(93\) | 0.301697 | + | 9.87893i | 0.0312845 | + | 1.02440i | ||||
\(94\) | −0.102261 | − | 3.48211i | −0.0105475 | − | 0.359152i | ||||
\(95\) | −0.399073 | − | 0.691214i | −0.0409440 | − | 0.0709171i | ||||
\(96\) | −7.48805 | + | 6.31895i | −0.764246 | + | 0.644925i | ||||
\(97\) | 3.66561 | − | 6.34903i | 0.372187 | − | 0.644646i | −0.617715 | − | 0.786402i | \(-0.711941\pi\) |
0.989902 | + | 0.141756i | \(0.0452748\pi\) | |||||||
\(98\) | −14.8592 | − | 8.00683i | −1.50101 | − | 0.808812i | ||||
\(99\) | 8.10851 | − | 9.16451i | 0.814936 | − | 0.921068i | ||||
\(100\) | 7.29134 | − | 4.80124i | 0.729134 | − | 0.480124i | ||||
\(101\) | −14.0255 | + | 3.75813i | −1.39559 | + | 0.373948i | −0.876760 | − | 0.480928i | \(-0.840300\pi\) |
−0.518833 | + | 0.854876i | \(0.673633\pi\) | |||||||
\(102\) | −16.3500 | + | 0.980358i | −1.61889 | + | 0.0970699i | ||||
\(103\) | −7.43866 | − | 12.8841i | −0.732953 | − | 1.26951i | −0.955616 | − | 0.294616i | \(-0.904808\pi\) |
0.222663 | − | 0.974895i | \(-0.428525\pi\) | |||||||
\(104\) | 4.89644 | + | 0.859280i | 0.480136 | + | 0.0842594i | ||||
\(105\) | −5.75084 | + | 1.73072i | −0.561224 | + | 0.168901i | ||||
\(106\) | 3.27530 | + | 0.775325i | 0.318125 | + | 0.0753062i | ||||
\(107\) | −0.0974799 | + | 0.0974799i | −0.00942374 | + | 0.00942374i | −0.711803 | − | 0.702379i | \(-0.752121\pi\) |
0.702379 | + | 0.711803i | \(0.252121\pi\) | |||||||
\(108\) | −3.78988 | + | 9.67661i | −0.364681 | + | 0.931132i | ||||
\(109\) | 8.80665 | + | 8.80665i | 0.843524 | + | 0.843524i | 0.989315 | − | 0.145791i | \(-0.0465728\pi\) |
−0.145791 | + | 0.989315i | \(0.546573\pi\) | |||||||
\(110\) | −3.91142 | + | 2.41406i | −0.372939 | + | 0.230172i | ||||
\(111\) | 1.07060 | + | 3.55740i | 0.101617 | + | 0.337654i | ||||
\(112\) | 17.2860 | − | 2.03940i | 1.63338 | − | 0.192705i | ||||
\(113\) | 7.22037 | − | 4.16868i | 0.679235 | − | 0.392157i | −0.120331 | − | 0.992734i | \(-0.538396\pi\) |
0.799567 | + | 0.600577i | \(0.205062\pi\) | |||||||
\(114\) | 1.83566 | + | 1.62798i | 0.171925 | + | 0.152474i | ||||
\(115\) | 0.924424 | + | 3.45000i | 0.0862030 | + | 0.321714i | ||||
\(116\) | −8.09133 | − | 1.66616i | −0.751262 | − | 0.154699i | ||||
\(117\) | 5.00039 | − | 1.67296i | 0.462286 | − | 0.154665i | ||||
\(118\) | −1.40971 | + | 0.422456i | −0.129775 | + | 0.0388903i | ||||
\(119\) | 25.1993 | + | 14.5488i | 2.31001 | + | 1.33369i | ||||
\(120\) | 2.41425 | − | 3.06750i | 0.220390 | − | 0.280023i | ||||
\(121\) | −4.88210 | + | 2.81868i | −0.443827 | + | 0.256244i | ||||
\(122\) | 1.98278 | − | 2.10276i | 0.179512 | − | 0.190375i | ||||
\(123\) | 4.72247 | − | 0.144221i | 0.425811 | − | 0.0130040i | ||||
\(124\) | 0.669740 | + | 11.3929i | 0.0601445 | + | 1.02311i | ||||
\(125\) | −5.27664 | + | 5.27664i | −0.471957 | + | 0.471957i | ||||
\(126\) | 15.0895 | − | 10.6369i | 1.34428 | − | 0.947606i | ||||
\(127\) | − | 4.84829i | − | 0.430216i | −0.976590 | − | 0.215108i | \(-0.930990\pi\) | ||
0.976590 | − | 0.215108i | \(-0.0690103\pi\) | |||||||
\(128\) | −8.43737 | + | 7.53729i | −0.745765 | + | 0.666209i | ||||
\(129\) | −3.53651 | + | 15.0181i | −0.311373 | + | 1.32227i | ||||
\(130\) | −1.97975 | + | 0.0581407i | −0.173636 | + | 0.00509928i | ||||
\(131\) | −5.49193 | + | 20.4961i | −0.479832 | + | 1.79076i | 0.122452 | + | 0.992474i | \(0.460924\pi\) |
−0.602284 | + | 0.798282i | \(0.705742\pi\) | |||||||
\(132\) | 9.06093 | − | 10.8420i | 0.788652 | − | 0.943671i | ||||
\(133\) | −1.12812 | − | 4.21019i | −0.0978201 | − | 0.365070i | ||||
\(134\) | 11.2355 | − | 3.36701i | 0.970603 | − | 0.290866i | ||||
\(135\) | 0.701338 | − | 4.08057i | 0.0603616 | − | 0.351200i | ||||
\(136\) | −18.8399 | + | 1.66368i | −1.61551 | + | 0.142659i | ||||
\(137\) | −2.93860 | + | 5.08981i | −0.251062 | + | 0.434852i | −0.963818 | − | 0.266560i | \(-0.914113\pi\) |
0.712757 | + | 0.701411i | \(0.247446\pi\) | |||||||
\(138\) | −6.04913 | − | 9.16305i | −0.514936 | − | 0.780011i | ||||
\(139\) | −1.86863 | + | 6.97384i | −0.158496 | + | 0.591513i | 0.840285 | + | 0.542145i | \(0.182388\pi\) |
−0.998781 | + | 0.0493686i | \(0.984279\pi\) | |||||||
\(140\) | −6.58153 | + | 2.18483i | −0.556241 | + | 0.184652i | ||||
\(141\) | −2.24506 | − | 3.62809i | −0.189068 | − | 0.305540i | ||||
\(142\) | −5.98079 | − | 9.69047i | −0.501897 | − | 0.813206i | ||||
\(143\) | −7.16910 | −0.599510 | ||||||||
\(144\) | −4.05951 | + | 11.2925i | −0.338293 | + | 0.941041i | ||||
\(145\) | 3.29131 | 0.273328 | ||||||||
\(146\) | −7.22794 | − | 11.7112i | −0.598188 | − | 0.969224i | ||||
\(147\) | −20.6630 | + | 0.631036i | −1.70426 | + | 0.0520470i | ||||
\(148\) | 1.35151 | + | 4.07126i | 0.111094 | + | 0.334655i | ||||
\(149\) | 1.16425 | − | 4.34504i | 0.0953792 | − | 0.355960i | −0.901698 | − | 0.432367i | \(-0.857678\pi\) |
0.997077 | + | 0.0764076i | \(0.0243450\pi\) | |||||||
\(150\) | 4.78229 | − | 9.56311i | 0.390473 | − | 0.780824i | ||||
\(151\) | −4.23499 | + | 7.33521i | −0.344638 | + | 0.596931i | −0.985288 | − | 0.170902i | \(-0.945332\pi\) |
0.640650 | + | 0.767833i | \(0.278665\pi\) | |||||||
\(152\) | 2.17178 | + | 1.81934i | 0.176154 | + | 0.147568i | ||||
\(153\) | −16.7285 | + | 11.0717i | −1.35242 | + | 0.895093i | ||||
\(154\) | −24.0447 | + | 7.20560i | −1.93758 | + | 0.580644i | ||||
\(155\) | −1.17682 | − | 4.39194i | −0.0945241 | − | 0.352769i | ||||
\(156\) | 5.71722 | − | 2.09374i | 0.457744 | − | 0.167633i | ||||
\(157\) | −4.38117 | + | 16.3507i | −0.349655 | + | 1.30493i | 0.537423 | + | 0.843313i | \(0.319398\pi\) |
−0.887079 | + | 0.461618i | \(0.847269\pi\) | |||||||
\(158\) | 19.5605 | − | 0.574445i | 1.55615 | − | 0.0457004i | ||||
\(159\) | 3.94738 | − | 1.18797i | 0.313048 | − | 0.0942121i | ||||
\(160\) | 2.68680 | − | 3.61921i | 0.212410 | − | 0.286123i | ||||
\(161\) | 19.5052i | 1.53723i | ||||||||
\(162\) | 1.92065 | + | 12.5822i | 0.150900 | + | 0.988549i | ||||
\(163\) | 13.6982 | − | 13.6982i | 1.07293 | − | 1.07293i | 0.0758059 | − | 0.997123i | \(-0.475847\pi\) |
0.997123 | − | 0.0758059i | \(-0.0241529\pi\) | |||||||
\(164\) | 5.44618 | − | 0.320159i | 0.425275 | − | 0.0250002i | ||||
\(165\) | −2.66458 | + | 4.95887i | −0.207437 | + | 0.386047i | ||||
\(166\) | 3.06366 | − | 3.24905i | 0.237786 | − | 0.252175i | ||||
\(167\) | −7.11859 | + | 4.10992i | −0.550853 | + | 0.318035i | −0.749466 | − | 0.662043i | \(-0.769690\pi\) |
0.198613 | + | 0.980078i | \(0.436356\pi\) | |||||||
\(168\) | 17.0708 | − | 12.7686i | 1.31704 | − | 0.985118i | ||||
\(169\) | 8.58301 | + | 4.95540i | 0.660232 | + | 0.381185i | ||||
\(170\) | 7.21808 | − | 2.16308i | 0.553602 | − | 0.165901i | ||||
\(171\) | 2.94464 | + | 0.599176i | 0.225183 | + | 0.0458202i | ||||
\(172\) | −3.59323 | + | 17.4497i | −0.273981 | + | 1.33052i | ||||
\(173\) | −2.52258 | − | 9.41440i | −0.191788 | − | 0.715764i | −0.993075 | − | 0.117483i | \(-0.962517\pi\) |
0.801287 | − | 0.598281i | \(-0.204149\pi\) | |||||||
\(174\) | −9.59873 | + | 3.19892i | −0.727678 | + | 0.242509i | ||||
\(175\) | −16.4497 | + | 9.49727i | −1.24348 | + | 0.717926i | ||||
\(176\) | 10.1056 | − | 12.8091i | 0.761742 | − | 0.965524i | ||||
\(177\) | −1.23499 | + | 1.31280i | −0.0928277 | + | 0.0986761i | ||||
\(178\) | 2.05936 | − | 1.27100i | 0.154355 | − | 0.0952654i | ||||
\(179\) | 2.59887 | + | 2.59887i | 0.194248 | + | 0.194248i | 0.797529 | − | 0.603281i | \(-0.206140\pi\) |
−0.603281 | + | 0.797529i | \(0.706140\pi\) | |||||||
\(180\) | 0.676712 | − | 4.73279i | 0.0504391 | − | 0.352761i | ||||
\(181\) | 6.92926 | − | 6.92926i | 0.515048 | − | 0.515048i | −0.401021 | − | 0.916069i | \(-0.631345\pi\) |
0.916069 | + | 0.401021i | \(0.131345\pi\) | |||||||
\(182\) | −10.5253 | − | 2.49154i | −0.780188 | − | 0.184685i | ||||
\(183\) | 0.811348 | − | 3.44546i | 0.0599765 | − | 0.254696i | ||||
\(184\) | −7.28037 | − | 10.3795i | −0.536716 | − | 0.765188i | ||||
\(185\) | −0.854536 | − | 1.48010i | −0.0628267 | − | 0.108819i | ||||
\(186\) | 7.70070 | + | 11.6648i | 0.564643 | + | 0.855305i | ||||
\(187\) | 26.3455 | − | 7.05926i | 1.92657 | − | 0.516224i | ||||
\(188\) | −2.70942 | − | 4.11462i | −0.197605 | − | 0.300090i | ||||
\(189\) | 9.46711 | − | 20.5336i | 0.688631 | − | 1.49360i | ||||
\(190\) | −0.993670 | − | 0.535435i | −0.0720884 | − | 0.0388446i | ||||
\(191\) | 6.96728 | − | 12.0677i | 0.504135 | − | 0.873187i | −0.495854 | − | 0.868406i | \(-0.665145\pi\) |
0.999989 | − | 0.00478132i | \(-0.00152195\pi\) | |||||||
\(192\) | −4.31815 | + | 13.1664i | −0.311635 | + | 0.950202i | ||||
\(193\) | −1.34094 | − | 2.32257i | −0.0965226 | − | 0.167182i | 0.813720 | − | 0.581256i | \(-0.197439\pi\) |
−0.910243 | + | 0.414074i | \(0.864105\pi\) | |||||||
\(194\) | −0.304350 | − | 10.3635i | −0.0218511 | − | 0.744053i | ||||
\(195\) | −2.06275 | + | 1.27643i | −0.147716 | + | 0.0914070i | ||||
\(196\) | −23.8296 | + | 1.40085i | −1.70211 | + | 0.100060i | ||||
\(197\) | 14.2363 | + | 14.2363i | 1.01430 | + | 1.01430i | 0.999896 | + | 0.0144009i | \(0.00458410\pi\) |
0.0144009 | + | 0.999896i | \(0.495416\pi\) | |||||||
\(198\) | 2.95129 | − | 17.0518i | 0.209739 | − | 1.21182i | ||||
\(199\) | 7.90078 | 0.560072 | 0.280036 | − | 0.959990i | \(-0.409654\pi\) | ||||
0.280036 | + | 0.959990i | \(0.409654\pi\) | |||||||
\(200\) | 5.20869 | − | 11.1938i | 0.368310 | − | 0.791520i | ||||
\(201\) | 9.84299 | − | 10.4631i | 0.694271 | − | 0.738012i | ||||
\(202\) | −14.0878 | + | 14.9403i | −0.991214 | + | 1.05119i | ||||
\(203\) | 17.3615 | + | 4.65201i | 1.21854 | + | 0.326507i | ||||
\(204\) | −18.9484 | + | 13.3238i | −1.32665 | + | 0.932855i | ||||
\(205\) | −2.09950 | + | 0.562559i | −0.146635 | + | 0.0392908i | ||||
\(206\) | −18.5219 | − | 9.98044i | −1.29048 | − | 0.695370i | ||||
\(207\) | −12.0343 | − | 6.00048i | −0.836442 | − | 0.417062i | ||||
\(208\) | 6.53091 | − | 2.60275i | 0.452837 | − | 0.180468i | ||||
\(209\) | −3.53830 | − | 2.04284i | −0.244749 | − | 0.141306i | ||||
\(210\) | −5.63540 | + | 6.35431i | −0.388880 | + | 0.438489i | ||||
\(211\) | 13.2108 | + | 3.53982i | 0.909469 | + | 0.243691i | 0.683078 | − | 0.730345i | \(-0.260641\pi\) |
0.226391 | + | 0.974037i | \(0.427307\pi\) | |||||||
\(212\) | 4.51757 | − | 1.49967i | 0.310268 | − | 0.102998i | ||||
\(213\) | −12.2855 | − | 6.60145i | −0.841789 | − | 0.452324i | ||||
\(214\) | −0.0449095 | + | 0.189717i | −0.00306995 | + | 0.0129688i | ||||
\(215\) | − | 7.09799i | − | 0.484079i | ||||||
\(216\) | 2.62638 | + | 14.4604i | 0.178702 | + | 0.983903i | ||||
\(217\) | − | 24.8307i | − | 1.68562i | ||||||
\(218\) | 17.1396 | + | 4.05727i | 1.16084 | + | 0.274793i | ||||
\(219\) | −14.8473 | − | 7.97802i | −1.00329 | − | 0.539105i | ||||
\(220\) | −2.91418 | + | 5.81045i | −0.196474 | + | 0.391741i | ||||
\(221\) | 11.3524 | + | 3.04186i | 0.763643 | + | 0.204618i | ||||
\(222\) | 3.93071 | + | 3.48599i | 0.263812 | + | 0.233965i | ||||
\(223\) | −24.3372 | − | 14.0511i | −1.62974 | − | 0.940931i | −0.984169 | − | 0.177230i | \(-0.943286\pi\) |
−0.645570 | − | 0.763701i | \(-0.723380\pi\) | |||||||
\(224\) | 19.2883 | − | 15.2936i | 1.28875 | − | 1.02185i | ||||
\(225\) | −0.799096 | − | 13.0708i | −0.0532731 | − | 0.871388i | ||||
\(226\) | 5.59312 | − | 10.3798i | 0.372049 | − | 0.690454i | ||||
\(227\) | 0.489998 | − | 0.131295i | 0.0325223 | − | 0.00871433i | −0.242521 | − | 0.970146i | \(-0.577974\pi\) |
0.275044 | + | 0.961432i | \(0.411308\pi\) | |||||||
\(228\) | 3.41833 | + | 0.595761i | 0.226385 | + | 0.0394552i | ||||
\(229\) | −14.6181 | − | 3.91690i | −0.965988 | − | 0.258836i | −0.258855 | − | 0.965916i | \(-0.583345\pi\) |
−0.707133 | + | 0.707080i | \(0.750012\pi\) | |||||||
\(230\) | 3.67501 | + | 3.46531i | 0.242323 | + | 0.228496i | ||||
\(231\) | −21.0646 | + | 22.3917i | −1.38595 | + | 1.47326i | ||||
\(232\) | −10.9751 | + | 4.00471i | −0.720554 | + | 0.262922i | ||||
\(233\) | 15.4968 | 1.01523 | 0.507614 | − | 0.861584i | \(-0.330527\pi\) | ||||
0.507614 | + | 0.861584i | \(0.330527\pi\) | |||||||
\(234\) | 4.77517 | − | 5.72740i | 0.312163 | − | 0.374412i | ||||
\(235\) | 1.38791 | + | 1.38791i | 0.0905371 | + | 0.0905371i | ||||
\(236\) | −1.38275 | + | 1.55548i | −0.0900096 | + | 0.101253i | ||||
\(237\) | 20.3805 | − | 12.6114i | 1.32385 | − | 0.819202i | ||||
\(238\) | 41.1325 | − | 1.20797i | 2.66622 | − | 0.0783007i | ||||
\(239\) | −7.61709 | − | 13.1932i | −0.492709 | − | 0.853397i | 0.507256 | − | 0.861796i | \(-0.330660\pi\) |
−0.999965 | + | 0.00839869i | \(0.997327\pi\) | |||||||
\(240\) | 0.627061 | − | 5.48481i | 0.0404766 | − | 0.354043i | ||||
\(241\) | −9.10697 | + | 15.7737i | −0.586632 | + | 1.01608i | 0.408038 | + | 0.912965i | \(0.366213\pi\) |
−0.994670 | + | 0.103111i | \(0.967120\pi\) | |||||||
\(242\) | −3.78182 | + | 7.01837i | −0.243105 | + | 0.451158i | ||||
\(243\) | 9.75637 | + | 12.1578i | 0.625871 | + | 0.779926i | ||||
\(244\) | 0.824359 | − | 4.00330i | 0.0527742 | − | 0.256285i | ||||
\(245\) | 9.18628 | − | 2.46146i | 0.586890 | − | 0.157257i | ||||
\(246\) | 5.57618 | − | 3.68120i | 0.355524 | − | 0.234705i | ||||
\(247\) | −0.880265 | − | 1.52466i | −0.0560099 | − | 0.0970121i | ||||
\(248\) | 9.26810 | + | 13.2134i | 0.588525 | + | 0.839051i | ||||
\(249\) | 1.25364 | − | 5.32371i | 0.0794463 | − | 0.337376i | ||||
\(250\) | −2.43097 | + | 10.2695i | −0.153748 | + | 0.649498i | ||||
\(251\) | 2.18418 | − | 2.18418i | 0.137864 | − | 0.137864i | −0.634807 | − | 0.772671i | \(-0.718920\pi\) |
0.772671 | + | 0.634807i | \(0.218920\pi\) | |||||||
\(252\) | 10.2591 | − | 24.0088i | 0.646261 | − | 1.51241i | ||||
\(253\) | 12.9283 | + | 12.9283i | 0.812796 | + | 0.812796i | ||||
\(254\) | −3.60109 | − | 5.83472i | −0.225952 | − | 0.366103i | ||||
\(255\) | 6.32346 | − | 6.72185i | 0.395990 | − | 0.420939i | ||||
\(256\) | −4.55568 | + | 15.3377i | −0.284730 | + | 0.958608i | ||||
\(257\) | 16.6777 | − | 9.62887i | 1.04033 | − | 0.600633i | 0.120400 | − | 0.992725i | \(-0.461582\pi\) |
0.919926 | + | 0.392093i | \(0.128249\pi\) | |||||||
\(258\) | 6.89874 | + | 20.7005i | 0.429497 | + | 1.28876i | ||||
\(259\) | −2.41564 | − | 9.01529i | −0.150101 | − | 0.560183i | ||||
\(260\) | −2.33937 | + | 1.54044i | −0.145081 | + | 0.0955340i | ||||
\(261\) | −8.21121 | + | 9.28058i | −0.508261 | + | 0.574453i | ||||
\(262\) | 8.61429 | + | 28.7454i | 0.532193 | + | 1.77590i | ||||
\(263\) | −22.8254 | − | 13.1782i | −1.40747 | − | 0.812605i | −0.412329 | − | 0.911035i | \(-0.635285\pi\) |
−0.995144 | + | 0.0984300i | \(0.968618\pi\) | |||||||
\(264\) | 2.85155 | − | 19.7779i | 0.175501 | − | 1.21725i | ||||
\(265\) | −1.64235 | + | 0.948214i | −0.100889 | + | 0.0582483i | ||||
\(266\) | −4.48478 | − | 4.22888i | −0.274980 | − | 0.259289i | ||||
\(267\) | 1.40290 | − | 2.61083i | 0.0858559 | − | 0.159781i | ||||
\(268\) | 11.0207 | − | 12.3973i | 0.673194 | − | 0.757287i | ||||
\(269\) | −0.605506 | + | 0.605506i | −0.0369184 | + | 0.0369184i | −0.725325 | − | 0.688407i | \(-0.758310\pi\) |
0.688407 | + | 0.725325i | \(0.258310\pi\) | |||||||
\(270\) | −2.18683 | − | 5.43173i | −0.133086 | − | 0.330564i | ||||
\(271\) | 19.1084i | 1.16075i | 0.814349 | + | 0.580376i | \(0.197094\pi\) | ||||
−0.814349 | + | 0.580376i | \(0.802906\pi\) | |||||||
\(272\) | −21.4374 | + | 15.9956i | −1.29983 | + | 0.969876i | ||||
\(273\) | −12.6851 | + | 3.81759i | −0.767735 | + | 0.231051i | ||||
\(274\) | 0.243988 | + | 8.30804i | 0.0147398 | + | 0.501907i | ||||
\(275\) | −4.60819 | + | 17.1980i | −0.277884 | + | 1.03708i | ||||
\(276\) | −14.0858 | − | 6.53435i | −0.847864 | − | 0.393322i | ||||
\(277\) | −1.82792 | − | 6.82191i | −0.109829 | − | 0.409889i | 0.889019 | − | 0.457871i | \(-0.151388\pi\) |
−0.998848 | + | 0.0479819i | \(0.984721\pi\) | |||||||
\(278\) | 2.93102 | + | 9.78067i | 0.175791 | + | 0.586606i | ||||
\(279\) | 15.3200 | + | 7.63877i | 0.917183 | + | 0.457321i | ||||
\(280\) | −6.29781 | + | 7.51782i | −0.376366 | + | 0.449276i | ||||
\(281\) | −11.8490 | + | 20.5230i | −0.706849 | + | 1.22430i | 0.259171 | + | 0.965831i | \(0.416551\pi\) |
−0.966020 | + | 0.258467i | \(0.916783\pi\) | |||||||
\(282\) | −5.39662 | − | 2.69873i | −0.321364 | − | 0.160707i | ||||
\(283\) | −0.194826 | + | 0.727099i | −0.0115812 | + | 0.0432215i | −0.971475 | − | 0.237143i | \(-0.923789\pi\) |
0.959893 | + | 0.280365i | \(0.0904555\pi\) | |||||||
\(284\) | −14.3953 | − | 7.21984i | −0.854203 | − | 0.428419i | ||||
\(285\) | −1.38178 | + | 0.0421989i | −0.0818498 | + | 0.00249965i | ||||
\(286\) | −8.62772 | + | 5.32488i | −0.510168 | + | 0.314867i | ||||
\(287\) | −11.8699 | −0.700659 | ||||||||
\(288\) | 3.50209 | + | 16.6053i | 0.206362 | + | 0.978476i | ||||
\(289\) | −27.7137 | −1.63022 | ||||||||
\(290\) | 3.96096 | − | 2.44463i | 0.232596 | − | 0.143554i | ||||
\(291\) | −6.68175 | − | 10.7979i | −0.391691 | − | 0.632985i | ||||
\(292\) | −17.3971 | − | 8.72536i | −1.01809 | − | 0.510613i | ||||
\(293\) | 5.31070 | − | 19.8198i | 0.310255 | − | 1.15789i | −0.618072 | − | 0.786121i | \(-0.712086\pi\) |
0.928327 | − | 0.371765i | \(-0.121247\pi\) | |||||||
\(294\) | −24.3984 | + | 16.1070i | −1.42294 | + | 0.939377i | ||||
\(295\) | 0.414592 | − | 0.718095i | 0.0241385 | − | 0.0418091i | ||||
\(296\) | 4.65044 | + | 3.89576i | 0.270301 | + | 0.226436i | ||||
\(297\) | −7.33500 | − | 19.8848i | −0.425620 | − | 1.15384i | ||||
\(298\) | −1.82617 | − | 6.09384i | −0.105787 | − | 0.353007i | ||||
\(299\) | 2.03907 | + | 7.60993i | 0.117923 | + | 0.440093i | ||||
\(300\) | −1.34774 | − | 15.0609i | −0.0778118 | − | 0.869541i | ||||
\(301\) | 10.0325 | − | 37.4417i | 0.578262 | − | 2.15810i | ||||
\(302\) | 0.351624 | + | 11.9732i | 0.0202337 | + | 0.688979i | ||||
\(303\) | −5.76469 | + | 24.4803i | −0.331173 | + | 1.40636i | ||||
\(304\) | 3.96497 | + | 0.576403i | 0.227407 | + | 0.0330590i | ||||
\(305\) | 1.62842i | 0.0932432i | ||||||||
\(306\) | −11.9085 | + | 25.7495i | −0.680763 | + | 1.47200i | ||||
\(307\) | −15.3450 | + | 15.3450i | −0.875783 | + | 0.875783i | −0.993095 | − | 0.117312i | \(-0.962572\pi\) |
0.117312 | + | 0.993095i | \(0.462572\pi\) | |||||||
\(308\) | −23.5849 | + | 26.5310i | −1.34387 | + | 1.51174i | ||||
\(309\) | −25.7563 | + | 0.786581i | −1.46522 | + | 0.0447470i | ||||
\(310\) | −4.67838 | − | 4.41144i | −0.265714 | − | 0.250553i | ||||
\(311\) | 0.576605 | − | 0.332903i | 0.0326963 | − | 0.0188772i | −0.483563 | − | 0.875310i | \(-0.660658\pi\) |
0.516259 | + | 0.856432i | \(0.327324\pi\) | |||||||
\(312\) | 5.32531 | − | 6.76622i | 0.301486 | − | 0.383062i | ||||
\(313\) | 14.3283 | + | 8.27244i | 0.809882 | + | 0.467586i | 0.846915 | − | 0.531728i | \(-0.178457\pi\) |
−0.0370327 | + | 0.999314i | \(0.511791\pi\) | |||||||
\(314\) | 6.87202 | + | 22.9316i | 0.387811 | + | 1.29410i | ||||
\(315\) | −2.07411 | + | 10.1932i | −0.116863 | + | 0.574320i | ||||
\(316\) | 23.1136 | − | 15.2199i | 1.30024 | − | 0.856189i | ||||
\(317\) | −1.75927 | − | 6.56570i | −0.0988107 | − | 0.368767i | 0.898759 | − | 0.438443i | \(-0.144470\pi\) |
−0.997570 | + | 0.0696766i | \(0.977803\pi\) | |||||||
\(318\) | 3.86815 | − | 4.36161i | 0.216915 | − | 0.244587i | ||||
\(319\) | 14.5909 | − | 8.42404i | 0.816931 | − | 0.471656i | ||||
\(320\) | 0.545277 | − | 6.35120i | 0.0304819 | − | 0.355043i | ||||
\(321\) | 0.0688113 | + | 0.228646i | 0.00384067 | + | 0.0127618i | ||||
\(322\) | 14.4876 | + | 23.4738i | 0.807362 | + | 1.30814i | ||||
\(323\) | 4.73616 | + | 4.73616i | 0.263527 | + | 0.263527i | ||||
\(324\) | 11.6569 | + | 13.7156i | 0.647605 | + | 0.761976i | ||||
\(325\) | −5.42499 | + | 5.42499i | −0.300924 | + | 0.300924i | ||||
\(326\) | 6.31085 | − | 26.6597i | 0.349526 | − | 1.47654i | ||||
\(327\) | 20.6566 | − | 6.21664i | 1.14231 | − | 0.343781i | ||||
\(328\) | 6.31645 | − | 4.43047i | 0.348768 | − | 0.244632i | ||||
\(329\) | 5.35946 | + | 9.28286i | 0.295477 | + | 0.511781i | ||||
\(330\) | 0.476505 | + | 7.94693i | 0.0262307 | + | 0.437464i | ||||
\(331\) | 9.39568 | − | 2.51757i | 0.516434 | − | 0.138378i | 0.00881711 | − | 0.999961i | \(-0.497193\pi\) |
0.507616 | + | 0.861583i | \(0.330527\pi\) | |||||||
\(332\) | 1.27375 | − | 6.18565i | 0.0699059 | − | 0.339481i | ||||
\(333\) | 6.30538 | + | 1.28302i | 0.345532 | + | 0.0703090i | ||||
\(334\) | −5.51427 | + | 10.2335i | −0.301728 | + | 0.559951i | ||||
\(335\) | −3.30434 | + | 5.72328i | −0.180535 | + | 0.312696i | ||||
\(336\) | 11.0601 | − | 28.0459i | 0.603377 | − | 1.53003i | ||||
\(337\) | 13.5580 | + | 23.4832i | 0.738553 | + | 1.27921i | 0.953147 | + | 0.302509i | \(0.0978241\pi\) |
−0.214593 | + | 0.976704i | \(0.568843\pi\) | |||||||
\(338\) | 14.0100 | − | 0.411440i | 0.762041 | − | 0.0223794i | ||||
\(339\) | −0.440806 | − | 14.4340i | −0.0239413 | − | 0.783948i | ||||
\(340\) | 7.08004 | − | 7.96444i | 0.383969 | − | 0.431933i | ||||
\(341\) | −16.4581 | − | 16.4581i | −0.891254 | − | 0.891254i | ||||
\(342\) | 3.98880 | − | 1.46606i | 0.215690 | − | 0.0792756i | ||||
\(343\) | 21.4761 | 1.15960 | ||||||||
\(344\) | 8.63651 | + | 23.6689i | 0.465649 | + | 1.27614i | ||||
\(345\) | 6.02166 | + | 1.41800i | 0.324195 | + | 0.0763425i | ||||
\(346\) | −10.0284 | − | 9.45620i | −0.539131 | − | 0.508368i | ||||
\(347\) | −30.1679 | − | 8.08347i | −1.61950 | − | 0.433944i | −0.668645 | − | 0.743582i | \(-0.733125\pi\) |
−0.950854 | + | 0.309638i | \(0.899792\pi\) | |||||||
\(348\) | −9.17568 | + | 10.9793i | −0.491868 | + | 0.588551i | ||||
\(349\) | −31.6714 | + | 8.48634i | −1.69533 | + | 0.454263i | −0.971757 | − | 0.235982i | \(-0.924169\pi\) |
−0.723576 | + | 0.690245i | \(0.757503\pi\) | |||||||
\(350\) | −12.7425 | + | 23.6477i | −0.681114 | + | 1.26402i | ||||
\(351\) | 1.54700 | − | 9.00083i | 0.0825726 | − | 0.480429i | ||||
\(352\) | 2.64771 | − | 22.9213i | 0.141123 | − | 1.22171i | ||||
\(353\) | −3.48989 | − | 2.01489i | −0.185748 | − | 0.107242i | 0.404243 | − | 0.914652i | \(-0.367535\pi\) |
−0.589990 | + | 0.807410i | \(0.700869\pi\) | |||||||
\(354\) | −0.511175 | + | 2.49720i | −0.0271687 | + | 0.132725i | ||||
\(355\) | 6.19752 | + | 1.66062i | 0.328930 | + | 0.0881366i | ||||
\(356\) | 1.53431 | − | 3.05919i | 0.0813184 | − | 0.162137i | ||||
\(357\) | 42.8569 | − | 26.5198i | 2.26823 | − | 1.40358i | ||||
\(358\) | 5.05795 | + | 1.19731i | 0.267321 | + | 0.0632799i | ||||
\(359\) | 14.8043i | 0.781342i | 0.920530 | + | 0.390671i | \(0.127757\pi\) | ||||
−0.920530 | + | 0.390671i | \(0.872243\pi\) | |||||||
\(360\) | −2.70091 | − | 6.19836i | −0.142350 | − | 0.326682i | ||||
\(361\) | 17.9967i | 0.947193i | ||||||||
\(362\) | 3.19235 | − | 13.4858i | 0.167786 | − | 0.708800i | ||||
\(363\) | 0.298054 | + | 9.75965i | 0.0156438 | + | 0.512249i | ||||
\(364\) | −14.5174 | + | 4.81925i | −0.760918 | + | 0.252597i | ||||
\(365\) | 7.48986 | + | 2.00690i | 0.392037 | + | 0.105046i | ||||
\(366\) | −1.58271 | − | 4.74911i | −0.0827296 | − | 0.248240i | ||||
\(367\) | −2.66934 | − | 1.54114i | −0.139338 | − | 0.0804470i | 0.428710 | − | 0.903442i | \(-0.358968\pi\) |
−0.568049 | + | 0.822995i | \(0.692301\pi\) | |||||||
\(368\) | −16.4711 | − | 7.08380i | −0.858613 | − | 0.369269i | ||||
\(369\) | 3.65160 | − | 7.32348i | 0.190094 | − | 0.381245i | ||||
\(370\) | −2.12775 | − | 1.14653i | −0.110616 | − | 0.0596052i | ||||
\(371\) | −10.0036 | + | 2.68045i | −0.519361 | + | 0.139162i | ||||
\(372\) | 17.9316 | + | 8.31840i | 0.929709 | + | 0.431289i | ||||
\(373\) | 28.2816 | + | 7.57804i | 1.46437 | + | 0.392376i | 0.900996 | − | 0.433828i | \(-0.142837\pi\) |
0.563372 | + | 0.826204i | \(0.309504\pi\) | |||||||
\(374\) | 26.4625 | − | 28.0638i | 1.36834 | − | 1.45114i | ||||
\(375\) | 3.72479 | + | 12.3767i | 0.192347 | + | 0.639131i | ||||
\(376\) | −6.31683 | − | 2.93935i | −0.325766 | − | 0.151585i | ||||
\(377\) | 7.25990 | 0.373904 | ||||||||
\(378\) | −3.85813 | − | 31.7431i | −0.198441 | − | 1.63269i | ||||
\(379\) | −13.0654 | − | 13.0654i | −0.671124 | − | 0.671124i | 0.286851 | − | 0.957975i | \(-0.407392\pi\) |
−0.957975 | + | 0.286851i | \(0.907392\pi\) | |||||||
\(380\) | −1.59354 | + | 0.0936778i | −0.0817468 | + | 0.00480557i | ||||
\(381\) | −7.39721 | − | 3.97479i | −0.378970 | − | 0.203635i | ||||
\(382\) | −0.578483 | − | 19.6980i | −0.0295978 | − | 1.00784i | ||||
\(383\) | 1.66394 | + | 2.88203i | 0.0850235 | + | 0.147265i | 0.905401 | − | 0.424557i | \(-0.139570\pi\) |
−0.820378 | + | 0.571822i | \(0.806237\pi\) | |||||||
\(384\) | 4.58267 | + | 19.0525i | 0.233859 | + | 0.972271i | ||||
\(385\) | 7.07147 | − | 12.2481i | 0.360396 | − | 0.624223i | ||||
\(386\) | −3.33886 | − | 1.79913i | −0.169943 | − | 0.0915734i | ||||
\(387\) | 20.0144 | + | 17.7082i | 1.01739 | + | 0.900157i | ||||
\(388\) | −8.06378 | − | 12.2459i | −0.409376 | − | 0.621694i | ||||
\(389\) | −6.62255 | + | 1.77451i | −0.335777 | + | 0.0899711i | −0.422768 | − | 0.906238i | \(-0.638941\pi\) |
0.0869912 | + | 0.996209i | \(0.472275\pi\) | |||||||
\(390\) | −1.53436 | + | 3.06825i | −0.0776954 | + | 0.155367i | ||||
\(391\) | −14.9867 | − | 25.9577i | −0.757908 | − | 1.31274i | ||||
\(392\) | −27.6374 | + | 19.3854i | −1.39590 | + | 0.979110i | ||||
\(393\) | 26.7693 | + | 25.1827i | 1.35033 | + | 1.27030i | ||||
\(394\) | 27.7070 | + | 6.55876i | 1.39586 | + | 0.330426i | ||||
\(395\) | −7.79645 | + | 7.79645i | −0.392282 | + | 0.392282i | ||||
\(396\) | −9.11351 | − | 22.7132i | −0.457971 | − | 1.14138i | ||||
\(397\) | 2.33820 | + | 2.33820i | 0.117351 | + | 0.117351i | 0.763344 | − | 0.645993i | \(-0.223556\pi\) |
−0.645993 | + | 0.763344i | \(0.723556\pi\) | |||||||
\(398\) | 9.50828 | − | 5.86834i | 0.476607 | − | 0.294153i | ||||
\(399\) | −7.34851 | − | 1.73045i | −0.367886 | − | 0.0866307i | ||||
\(400\) | −2.04577 | − | 17.3400i | −0.102289 | − | 0.867002i | ||||
\(401\) | 3.32787 | − | 1.92135i | 0.166186 | − | 0.0959474i | −0.414600 | − | 0.910004i | \(-0.636079\pi\) |
0.580786 | + | 0.814056i | \(0.302745\pi\) | |||||||
\(402\) | 4.07411 | − | 19.9029i | 0.203198 | − | 0.992665i | ||||
\(403\) | −2.59579 | − | 9.68764i | −0.129306 | − | 0.482575i | ||||
\(404\) | −5.85714 | + | 28.4438i | −0.291404 | + | 1.41513i | ||||
\(405\) | −5.65090 | − | 4.41545i | −0.280795 | − | 0.219405i | ||||
\(406\) | 24.3492 | − | 7.29686i | 1.20843 | − | 0.362137i | ||||
\(407\) | −7.57656 | − | 4.37433i | −0.375556 | − | 0.216828i | ||||
\(408\) | −12.9073 | + | 30.1087i | −0.639005 | + | 1.49060i | ||||
\(409\) | 4.36888 | − | 2.52237i | 0.216027 | − | 0.124723i | −0.388082 | − | 0.921625i | \(-0.626862\pi\) |
0.604109 | + | 0.796901i | \(0.293529\pi\) | |||||||
\(410\) | −2.10882 | + | 2.23643i | −0.104147 | + | 0.110449i | ||||
\(411\) | 5.35654 | + | 8.65634i | 0.264219 | + | 0.426986i | ||||
\(412\) | −29.7034 | + | 1.74614i | −1.46338 | + | 0.0860262i | ||||
\(413\) | 3.20193 | − | 3.20193i | 0.157557 | − | 0.157557i | ||||
\(414\) | −18.9397 | + | 1.71719i | −0.930835 | + | 0.0843954i | ||||
\(415\) | 2.51613i | 0.123512i | ||||||||
\(416\) | 5.92649 | − | 7.98316i | 0.290570 | − | 0.391407i | ||||
\(417\) | 9.10827 | + | 8.56844i | 0.446034 | + | 0.419598i | ||||
\(418\) | −5.77552 | + | 0.169614i | −0.282490 | + | 0.00829607i | ||||
\(419\) | 5.72083 | − | 21.3504i | 0.279481 | − | 1.04304i | −0.673298 | − | 0.739371i | \(-0.735123\pi\) |
0.952779 | − | 0.303665i | \(-0.0982103\pi\) | |||||||
\(420\) | −2.06228 | + | 11.8329i | −0.100629 | + | 0.577385i | ||||
\(421\) | 2.13099 | + | 7.95298i | 0.103858 | + | 0.387604i | 0.998213 | − | 0.0597538i | \(-0.0190316\pi\) |
−0.894355 | + | 0.447358i | \(0.852365\pi\) | |||||||
\(422\) | 18.5279 | − | 5.55234i | 0.901923 | − | 0.270284i | ||||
\(423\) | −7.37608 | + | 0.450943i | −0.358637 | + | 0.0219256i | ||||
\(424\) | 4.32283 | − | 5.16024i | 0.209935 | − | 0.250603i | ||||
\(425\) | 14.5943 | − | 25.2780i | 0.707926 | − | 1.22616i | ||||
\(426\) | −19.6884 | + | 1.18053i | −0.953904 | + | 0.0571969i | ||||
\(427\) | −2.30165 | + | 8.58988i | −0.111385 | + | 0.415693i | ||||
\(428\) | 0.0868662 | + | 0.261673i | 0.00419884 | + | 0.0126485i | ||||
\(429\) | −5.87747 | + | 10.9382i | −0.283767 | + | 0.528099i | ||||
\(430\) | −5.27207 | − | 8.54215i | −0.254242 | − | 0.411939i | ||||
\(431\) | −1.08094 | −0.0520671 | −0.0260336 | − | 0.999661i | \(-0.508288\pi\) | ||||
−0.0260336 | + | 0.999661i | \(0.508288\pi\) | |||||||
\(432\) | 13.9012 | + | 15.4517i | 0.668824 | + | 0.743421i | ||||
\(433\) | −15.5307 | −0.746359 | −0.373179 | − | 0.927759i | \(-0.621732\pi\) | ||||
−0.373179 | + | 0.927759i | \(0.621732\pi\) | |||||||
\(434\) | −18.4431 | − | 29.8827i | −0.885297 | − | 1.43442i | ||||
\(435\) | 2.69833 | − | 5.02167i | 0.129375 | − | 0.240771i | ||||
\(436\) | 23.6404 | − | 7.84777i | 1.13217 | − | 0.375840i | ||||
\(437\) | −1.16207 | + | 4.33690i | −0.0555893 | + | 0.207462i | ||||
\(438\) | −23.7939 | + | 1.42670i | −1.13692 | + | 0.0681704i | ||||
\(439\) | −2.26321 | + | 3.91999i | −0.108017 | + | 0.187091i | −0.914967 | − | 0.403529i | \(-0.867783\pi\) |
0.806950 | + | 0.590620i | \(0.201117\pi\) | |||||||
\(440\) | 0.808634 | + | 9.15717i | 0.0385501 | + | 0.436551i | ||||
\(441\) | −15.9774 | + | 32.0437i | −0.760831 | + | 1.52589i | ||||
\(442\) | 15.9215 | − | 4.77127i | 0.757308 | − | 0.226946i | ||||
\(443\) | −6.82958 | − | 25.4883i | −0.324483 | − | 1.21099i | −0.914830 | − | 0.403838i | \(-0.867676\pi\) |
0.590347 | − | 0.807149i | \(-0.298991\pi\) | |||||||
\(444\) | 7.31968 | + | 1.27571i | 0.347377 | + | 0.0605423i | ||||
\(445\) | −0.352904 | + | 1.31706i | −0.0167293 | + | 0.0624345i | ||||
\(446\) | −39.7254 | + | 1.16664i | −1.88105 | + | 0.0552420i | ||||
\(447\) | −5.67490 | − | 5.33856i | −0.268414 | − | 0.252505i | ||||
\(448\) | 11.8533 | − | 32.7317i | 0.560014 | − | 1.54643i | ||||
\(449\) | 5.94688i | 0.280650i | 0.990105 | + | 0.140325i | \(0.0448148\pi\) | ||||
−0.990105 | + | 0.140325i | \(0.955185\pi\) | |||||||
\(450\) | −10.6701 | − | 15.1367i | −0.502993 | − | 0.713550i | ||||
\(451\) | −7.86752 | + | 7.86752i | −0.370467 | + | 0.370467i | ||||
\(452\) | −0.978552 | − | 16.6460i | −0.0460272 | − | 0.782962i | ||||
\(453\) | 7.71961 | + | 12.4751i | 0.362699 | + | 0.586133i | ||||
\(454\) | 0.492173 | − | 0.521956i | 0.0230988 | − | 0.0244966i | ||||
\(455\) | 5.27777 | − | 3.04712i | 0.247426 | − | 0.142851i | ||||
\(456\) | 4.55633 | − | 1.82201i | 0.213370 | − | 0.0853233i | ||||
\(457\) | −18.2318 | − | 10.5261i | −0.852846 | − | 0.492391i | 0.00876413 | − | 0.999962i | \(-0.497210\pi\) |
−0.861610 | + | 0.507571i | \(0.830544\pi\) | |||||||
\(458\) | −20.5015 | + | 6.14380i | −0.957974 | + | 0.287081i | ||||
\(459\) | 3.17791 | + | 34.6002i | 0.148332 | + | 1.61500i | ||||
\(460\) | 6.99660 | + | 1.44074i | 0.326218 | + | 0.0671747i | ||||
\(461\) | 10.2518 | + | 38.2603i | 0.477475 | + | 1.78196i | 0.611788 | + | 0.791021i | \(0.290450\pi\) |
−0.134314 | + | 0.990939i | \(0.542883\pi\) | |||||||
\(462\) | −8.71883 | + | 42.5933i | −0.405637 | + | 1.98162i | ||||
\(463\) | 9.98020 | − | 5.76207i | 0.463819 | − | 0.267786i | −0.249829 | − | 0.968290i | \(-0.580375\pi\) |
0.713649 | + | 0.700504i | \(0.247041\pi\) | |||||||
\(464\) | −10.2336 | + | 12.9714i | −0.475085 | + | 0.602180i | ||||
\(465\) | −7.66573 | − | 1.80515i | −0.355490 | − | 0.0837118i | ||||
\(466\) | 18.6498 | − | 11.5103i | 0.863934 | − | 0.533205i | ||||
\(467\) | −25.1476 | − | 25.1476i | −1.16369 | − | 1.16369i | −0.983661 | − | 0.180032i | \(-0.942380\pi\) |
−0.180032 | − | 0.983661i | \(-0.557620\pi\) | |||||||
\(468\) | 1.49268 | − | 10.4395i | 0.0689990 | − | 0.482565i | ||||
\(469\) | −25.5197 | + | 25.5197i | −1.17839 | + | 1.17839i | ||||
\(470\) | 2.70116 | + | 0.639416i | 0.124595 | + | 0.0294941i | ||||
\(471\) | 21.3551 | + | 20.0894i | 0.983990 | + | 0.925671i | ||||
\(472\) | −0.508748 | + | 2.89901i | −0.0234170 | + | 0.133438i | ||||
\(473\) | −18.1672 | − | 31.4664i | −0.835327 | − | 1.44683i | ||||
\(474\) | 15.1599 | − | 30.3151i | 0.696317 | − | 1.39242i | ||||
\(475\) | −4.22335 | + | 1.13164i | −0.193780 | + | 0.0519233i | ||||
\(476\) | 48.6041 | − | 32.0051i | 2.22776 | − | 1.46695i | ||||
\(477\) | 1.42367 | − | 6.99660i | 0.0651853 | − | 0.320352i | ||||
\(478\) | −18.9662 | − | 10.2199i | −0.867493 | − | 0.467445i | ||||
\(479\) | 2.64784 | − | 4.58619i | 0.120983 | − | 0.209548i | −0.799173 | − | 0.601101i | \(-0.794729\pi\) |
0.920155 | + | 0.391553i | \(0.128062\pi\) | |||||||
\(480\) | −3.31922 | − | 7.06650i | −0.151501 | − | 0.322540i | ||||
\(481\) | −1.88491 | − | 3.26477i | −0.0859447 | − | 0.148861i | ||||
\(482\) | 0.756138 | + | 25.7473i | 0.0344412 | + | 1.17276i | ||||
\(483\) | 29.7598 | + | 15.9911i | 1.35412 | + | 0.727618i | ||||
\(484\) | 0.661654 | + | 11.2553i | 0.0300752 | + | 0.511604i | ||||
\(485\) | 4.13069 | + | 4.13069i | 0.187565 | + | 0.187565i | ||||
\(486\) | 20.7717 | + | 7.38489i | 0.942223 | + | 0.334986i | ||||
\(487\) | 1.85543 | 0.0840775 | 0.0420387 | − | 0.999116i | \(-0.486615\pi\) | ||||
0.0420387 | + | 0.999116i | \(0.486615\pi\) | |||||||
\(488\) | −1.98139 | − | 5.43011i | −0.0896933 | − | 0.245810i | ||||
\(489\) | −9.66962 | − | 32.1302i | −0.437275 | − | 1.45298i | ||||
\(490\) | 9.22707 | − | 9.78542i | 0.416836 | − | 0.442060i | ||||
\(491\) | −3.49505 | − | 0.936497i | −0.157730 | − | 0.0422635i | 0.179090 | − | 0.983833i | \(-0.442685\pi\) |
−0.336820 | + | 0.941569i | \(0.609351\pi\) | |||||||
\(492\) | 3.97648 | − | 8.57191i | 0.179274 | − | 0.386451i | ||||
\(493\) | −26.6792 | + | 7.14866i | −1.20157 | + | 0.321960i | ||||
\(494\) | −2.19182 | − | 1.18105i | −0.0986144 | − | 0.0531380i | ||||
\(495\) | 5.38141 | + | 8.13090i | 0.241877 | + | 0.365457i | ||||
\(496\) | 20.9681 | + | 9.01786i | 0.941495 | + | 0.404914i | ||||
\(497\) | 30.3446 | + | 17.5194i | 1.36114 | + | 0.785854i | ||||
\(498\) | −2.44550 | − | 7.33802i | −0.109585 | − | 0.328824i | ||||
\(499\) | −12.0253 | − | 3.22216i | −0.538325 | − | 0.144244i | −0.0205953 | − | 0.999788i | \(-0.506556\pi\) |
−0.517730 | + | 0.855544i | \(0.673223\pi\) | |||||||
\(500\) | 4.70211 | + | 14.1645i | 0.210285 | + | 0.633456i | ||||
\(501\) | 0.434592 | + | 14.2305i | 0.0194162 | + | 0.635774i | ||||
\(502\) | 1.00626 | − | 4.25088i | 0.0449118 | − | 0.189726i | ||||
\(503\) | − | 16.6233i | − | 0.741198i | −0.928793 | − | 0.370599i | \(-0.879152\pi\) | ||
0.928793 | − | 0.370599i | \(-0.120848\pi\) | |||||||
\(504\) | −5.48629 | − | 36.5136i | −0.244379 | − | 1.62645i | ||||
\(505\) | − | 11.5701i | − | 0.514862i | ||||||
\(506\) | 25.1613 | + | 5.95614i | 1.11855 | + | 0.264783i | ||||
\(507\) | 14.5973 | − | 9.03281i | 0.648288 | − | 0.401161i | ||||
\(508\) | −8.66753 | − | 4.34713i | −0.384559 | − | 0.192873i | ||||
\(509\) | 15.1091 | + | 4.04848i | 0.669700 | + | 0.179446i | 0.577620 | − | 0.816306i | \(-0.303982\pi\) |
0.0920802 | + | 0.995752i | \(0.470648\pi\) | |||||||
\(510\) | 2.61734 | − | 12.7863i | 0.115898 | − | 0.566185i | ||||
\(511\) | 36.6722 | + | 21.1727i | 1.62228 | + | 0.936624i | ||||
\(512\) | 5.90958 | + | 21.8421i | 0.261169 | + | 0.965293i | ||||
\(513\) | 3.32830 | − | 4.00153i | 0.146948 | − | 0.176672i | ||||
\(514\) | 12.9191 | − | 23.9754i | 0.569835 | − | 1.05751i | ||||
\(515\) | 11.4506 | − | 3.06819i | 0.504575 | − | 0.135200i | ||||
\(516\) | 23.6777 | + | 19.7881i | 1.04235 | + | 0.871124i | ||||
\(517\) | 9.70511 | + | 2.60048i | 0.426830 | + | 0.114369i | ||||
\(518\) | −9.60328 | − | 9.05532i | −0.421944 | − | 0.397868i | ||||
\(519\) | −16.4320 | − | 3.86945i | −0.721285 | − | 0.169850i | ||||
\(520\) | −1.67117 | + | 3.59143i | −0.0732856 | + | 0.157495i | ||||
\(521\) | −40.4461 | −1.77198 | −0.885988 | − | 0.463709i | \(-0.846518\pi\) | ||||
−0.885988 | + | 0.463709i | \(0.846518\pi\) | |||||||
\(522\) | −2.98866 | + | 17.2677i | −0.130810 | + | 0.755787i | ||||
\(523\) | 7.69126 | + | 7.69126i | 0.336315 | + | 0.336315i | 0.854979 | − | 0.518663i | \(-0.173570\pi\) |
−0.518663 | + | 0.854979i | \(0.673570\pi\) | |||||||
\(524\) | 31.7178 | + | 28.1957i | 1.38560 | + | 1.23173i | ||||
\(525\) | 1.00426 | + | 32.8842i | 0.0438296 | + | 1.43518i | ||||
\(526\) | −37.2576 | + | 1.09417i | −1.62451 | + | 0.0477080i | ||||
\(527\) | 19.0784 | + | 33.0448i | 0.831069 | + | 1.43945i | ||||
\(528\) | −11.2584 | − | 25.9199i | −0.489959 | − | 1.12802i | ||||
\(529\) | −1.45387 | + | 2.51818i | −0.0632119 | + | 0.109486i | ||||
\(530\) | −1.27222 | + | 2.36100i | −0.0552616 | + | 0.102555i | ||||
\(531\) | 0.990498 | + | 2.96055i | 0.0429840 | + | 0.128477i | ||||
\(532\) | −8.53827 | − | 1.75820i | −0.370181 | − | 0.0762275i | ||||
\(533\) | −4.63102 | + | 1.24088i | −0.200592 | + | 0.0537484i | ||||
\(534\) | −0.250879 | − | 4.18404i | −0.0108566 | − | 0.181061i | ||||
\(535\) | −0.0549239 | − | 0.0951309i | −0.00237457 | − | 0.00411287i | ||||
\(536\) | 4.05477 | − | 23.1053i | 0.175139 | − | 0.997998i | ||||
\(537\) | 6.09583 | − | 1.83455i | 0.263054 | − | 0.0791666i | ||||
\(538\) | −0.278960 | + | 1.17844i | −0.0120268 | + | 0.0508063i | ||||
\(539\) | 34.4241 | − | 34.4241i | 1.48275 | − | 1.48275i | ||||
\(540\) | −6.66620 | − | 4.91259i | −0.286868 | − | 0.211404i | ||||
\(541\) | −17.0176 | − | 17.0176i | −0.731643 | − | 0.731643i | 0.239302 | − | 0.970945i | \(-0.423081\pi\) |
−0.970945 | + | 0.239302i | \(0.923081\pi\) | |||||||
\(542\) | 14.1928 | + | 22.9962i | 0.609635 | + | 0.987771i | ||||
\(543\) | −4.89138 | − | 16.2531i | −0.209909 | − | 0.697486i | ||||
\(544\) | −13.9182 | + | 35.1728i | −0.596739 | + | 1.50802i | ||||
\(545\) | −8.59443 | + | 4.96200i | −0.368145 | + | 0.212549i | ||||
\(546\) | −12.4304 | + | 14.0162i | −0.531974 | + | 0.599838i | ||||
\(547\) | −5.77510 | − | 21.5530i | −0.246926 | − | 0.921539i | −0.972406 | − | 0.233296i | \(-0.925049\pi\) |
0.725480 | − | 0.688243i | \(-0.241618\pi\) | |||||||
\(548\) | 6.46447 | + | 9.81718i | 0.276148 | + | 0.419369i | ||||
\(549\) | −4.59170 | − | 4.06261i | −0.195969 | − | 0.173388i | ||||
\(550\) | 7.22812 | + | 24.1199i | 0.308208 | + | 1.02847i | ||||
\(551\) | 3.58311 | + | 2.06871i | 0.152645 | + | 0.0881299i | ||||
\(552\) | −21.8051 | + | 2.59845i | −0.928086 | + | 0.110597i | ||||
\(553\) | −52.1457 | + | 30.1064i | −2.21746 | + | 1.28025i | ||||
\(554\) | −7.26683 | − | 6.85219i | −0.308738 | − | 0.291122i | ||||
\(555\) | −2.95882 | + | 0.0903606i | −0.125595 | + | 0.00383559i | ||||
\(556\) | 10.7920 | + | 9.59362i | 0.457683 | + | 0.406860i | ||||
\(557\) | −11.6516 | + | 11.6516i | −0.493695 | + | 0.493695i | −0.909468 | − | 0.415773i | \(-0.863511\pi\) |
0.415773 | + | 0.909468i | \(0.363511\pi\) | |||||||
\(558\) | 24.1107 | − | 2.18603i | 1.02069 | − | 0.0925420i | ||||
\(559\) | − | 15.6566i | − | 0.662203i | ||||||
\(560\) | −1.99527 | + | 13.7251i | −0.0843157 | + | 0.579992i | ||||
\(561\) | 10.8284 | − | 45.9837i | 0.457174 | − | 1.94143i | ||||
\(562\) | 0.983800 | + | 33.4994i | 0.0414991 | + | 1.41309i | ||||
\(563\) | −1.30826 | + | 4.88249i | −0.0551365 | + | 0.205772i | −0.987999 | − | 0.154460i | \(-0.950636\pi\) |
0.932862 | + | 0.360233i | \(0.117303\pi\) | |||||||
\(564\) | −8.49911 | + | 0.760552i | −0.357877 | + | 0.0320250i | ||||
\(565\) | 1.71944 | + | 6.41702i | 0.0723372 | + | 0.269966i | ||||
\(566\) | 0.305591 | + | 1.01974i | 0.0128450 | + | 0.0428629i | ||||
\(567\) | −23.5674 | − | 31.2785i | −0.989737 | − | 1.31357i | ||||
\(568\) | −22.6867 | + | 2.00338i | −0.951913 | + | 0.0840598i | ||||
\(569\) | 2.79764 | − | 4.84565i | 0.117283 | − | 0.203140i | −0.801407 | − | 0.598119i | \(-0.795915\pi\) |
0.918690 | + | 0.394979i | \(0.129248\pi\) | |||||||
\(570\) | −1.63158 | + | 1.07711i | −0.0683393 | + | 0.0451152i | ||||
\(571\) | −2.31993 | + | 8.65808i | −0.0970859 | + | 0.362329i | −0.997327 | − | 0.0730613i | \(-0.976723\pi\) |
0.900242 | + | 0.435391i | \(0.143390\pi\) | |||||||
\(572\) | −6.42804 | + | 12.8166i | −0.268770 | + | 0.535887i | ||||
\(573\) | −12.7001 | − | 20.5237i | −0.530554 | − | 0.857392i | ||||
\(574\) | −14.2850 | + | 8.81643i | −0.596243 | + | 0.367991i | ||||
\(575\) | 19.5662 | 0.815966 | ||||||||
\(576\) | 16.5483 | + | 17.3826i | 0.689511 | + | 0.724275i | ||||
\(577\) | 16.6893 | 0.694785 | 0.347393 | − | 0.937720i | \(-0.387067\pi\) | ||||
0.347393 | + | 0.937720i | \(0.387067\pi\) | |||||||
\(578\) | −33.3524 | + | 20.5845i | −1.38728 | + | 0.856203i | ||||
\(579\) | −4.64297 | + | 0.141794i | −0.192955 | + | 0.00589274i | ||||
\(580\) | 2.95109 | − | 5.88404i | 0.122537 | − | 0.244321i | ||||
\(581\) | −3.55636 | + | 13.2725i | −0.147543 | + | 0.550637i | ||||
\(582\) | −16.0614 | − | 8.03196i | −0.665767 | − | 0.332935i | ||||
\(583\) | −4.85387 | + | 8.40714i | −0.201027 | + | 0.348188i | ||||
\(584\) | −27.4175 | + | 2.42113i | −1.13454 | + | 0.100187i | ||||
\(585\) | 0.256384 | + | 4.19367i | 0.0106002 | + | 0.173387i | ||||
\(586\) | −8.33004 | − | 27.7969i | −0.344111 | − | 1.14828i | ||||
\(587\) | 1.34545 | + | 5.02128i | 0.0555325 | + | 0.207250i | 0.988118 | − | 0.153700i | \(-0.0491190\pi\) |
−0.932585 | + | 0.360950i | \(0.882452\pi\) | |||||||
\(588\) | −17.3990 | + | 37.5061i | −0.717521 | + | 1.54673i | ||||
\(589\) | 1.47934 | − | 5.52099i | 0.0609553 | − | 0.227488i | ||||
\(590\) | −0.0344230 | − | 1.17214i | −0.00141717 | − | 0.0482562i | ||||
\(591\) | 33.3923 | − | 10.0495i | 1.37358 | − | 0.413380i | ||||
\(592\) | 8.49020 | + | 1.23425i | 0.348945 | + | 0.0507275i | ||||
\(593\) | − | 44.7927i | − | 1.83942i | −0.392602 | − | 0.919708i | \(-0.628425\pi\) | ||
0.392602 | − | 0.919708i | \(-0.371575\pi\) | |||||||
\(594\) | −23.5969 | − | 18.4825i | −0.968194 | − | 0.758346i | ||||
\(595\) | −16.3947 | + | 16.3947i | −0.672116 | + | 0.672116i | ||||
\(596\) | −6.72395 | − | 5.97729i | −0.275424 | − | 0.244840i | ||||
\(597\) | 6.47733 | − | 12.0545i | 0.265100 | − | 0.493358i | ||||
\(598\) | 8.10625 | + | 7.64371i | 0.331489 | + | 0.312575i | ||||
\(599\) | −27.1165 | + | 15.6557i | −1.10795 | + | 0.639674i | −0.938297 | − | 0.345830i | \(-0.887597\pi\) |
−0.169651 | + | 0.985504i | \(0.554264\pi\) | |||||||
\(600\) | −12.8085 | − | 17.1241i | −0.522904 | − | 0.699090i | ||||
\(601\) | 15.4248 | + | 8.90549i | 0.629189 | + | 0.363262i | 0.780438 | − | 0.625233i | \(-0.214996\pi\) |
−0.151249 | + | 0.988496i | \(0.548330\pi\) | |||||||
\(602\) | −15.7363 | − | 52.5112i | −0.641364 | − | 2.14020i | ||||
\(603\) | −7.89436 | − | 23.5958i | −0.321483 | − | 0.960897i | ||||
\(604\) | 9.31630 | + | 14.1481i | 0.379075 | + | 0.575677i | ||||
\(605\) | −1.16261 | − | 4.33891i | −0.0472667 | − | 0.176402i | ||||
\(606\) | 11.2453 | + | 33.7428i | 0.456808 | + | 1.37071i | ||||
\(607\) | 29.3159 | − | 16.9255i | 1.18989 | − | 0.686986i | 0.231612 | − | 0.972808i | \(-0.425600\pi\) |
0.958283 | + | 0.285823i | \(0.0922668\pi\) | |||||||
\(608\) | 5.19981 | − | 2.25132i | 0.210880 | − | 0.0913031i | ||||
\(609\) | 21.3313 | − | 22.6753i | 0.864389 | − | 0.918848i | ||||
\(610\) | 1.20952 | + | 1.95974i | 0.0489720 | + | 0.0793476i | ||||
\(611\) | 3.06141 | + | 3.06141i | 0.123852 | + | 0.123852i | ||||
\(612\) | 4.79414 | + | 39.8335i | 0.193792 | + | 1.61018i | ||||
\(613\) | −11.3734 | + | 11.3734i | −0.459367 | + | 0.459367i | −0.898448 | − | 0.439081i | \(-0.855304\pi\) |
0.439081 | + | 0.898448i | \(0.355304\pi\) | |||||||
\(614\) | −7.06951 | + | 29.8646i | −0.285302 | + | 1.20524i | ||||
\(615\) | −0.862923 | + | 3.66448i | −0.0347964 | + | 0.147766i | ||||
\(616\) | −8.67744 | + | 49.4467i | −0.349624 | + | 1.99226i | ||||
\(617\) | 18.0269 | + | 31.2236i | 0.725738 | + | 1.25701i | 0.958670 | + | 0.284521i | \(0.0918346\pi\) |
−0.232932 | + | 0.972493i | \(0.574832\pi\) | |||||||
\(618\) | −30.4124 | + | 20.0772i | −1.22337 | + | 0.807623i | ||||
\(619\) | 16.0209 | − | 4.29280i | 0.643936 | − | 0.172542i | 0.0779503 | − | 0.996957i | \(-0.475162\pi\) |
0.565986 | + | 0.824415i | \(0.308496\pi\) | |||||||
\(620\) | −8.90686 | − | 1.83410i | −0.357708 | − | 0.0736591i | ||||
\(621\) | −19.0213 | + | 13.4418i | −0.763298 | + | 0.539400i | ||||
\(622\) | 0.446656 | − | 0.828912i | 0.0179093 | − | 0.0332363i | ||||
\(623\) | −3.72312 | + | 6.44863i | −0.149163 | + | 0.258359i | ||||
\(624\) | 1.38316 | − | 12.0983i | 0.0553706 | − | 0.484318i | ||||
\(625\) | 7.93964 | + | 13.7519i | 0.317585 | + | 0.550074i | ||||
\(626\) | 23.3879 | − | 0.686848i | 0.934769 | − | 0.0274520i | ||||
\(627\) | −6.01764 | + | 3.72372i | −0.240322 | + | 0.148711i | ||||
\(628\) | 25.3027 | + | 22.4930i | 1.00969 | + | 0.897569i | ||||
\(629\) | 10.1416 | + | 10.1416i | 0.404371 | + | 0.404371i | ||||
\(630\) | 5.07492 | + | 13.8076i | 0.202189 | + | 0.550109i | ||||
\(631\) | 24.4330 | 0.972664 | 0.486332 | − | 0.873774i | \(-0.338335\pi\) | ||||
0.486332 | + | 0.873774i | \(0.338335\pi\) | |||||||
\(632\) | 16.5116 | − | 35.4843i | 0.656795 | − | 1.41149i | ||||
\(633\) | 16.2315 | − | 17.2541i | 0.645144 | − | 0.685790i | ||||
\(634\) | −6.99392 | − | 6.59485i | −0.277764 | − | 0.261915i | ||||
\(635\) | 3.73158 | + | 0.999874i | 0.148083 | + | 0.0396788i | ||||
\(636\) | 1.41555 | − | 8.12210i | 0.0561304 | − | 0.322062i | ||||
\(637\) | 20.2629 | − | 5.42943i | 0.802845 | − | 0.215122i | ||||
\(638\) | 11.3025 | − | 20.9754i | 0.447471 | − | 0.830425i | ||||
\(639\) | −20.1441 | + | 13.3323i | −0.796890 | + | 0.527420i | ||||
\(640\) | −4.06117 | − | 8.04843i | −0.160532 | − | 0.318142i | ||||
\(641\) | −40.0952 | − | 23.1490i | −1.58366 | − | 0.914329i | −0.994318 | − | 0.106448i | \(-0.966052\pi\) |
−0.589346 | − | 0.807881i | \(-0.700615\pi\) | |||||||
\(642\) | 0.252640 | + | 0.224056i | 0.00997089 | + | 0.00884280i | ||||
\(643\) | 10.5870 | + | 2.83678i | 0.417511 | + | 0.111872i | 0.461458 | − | 0.887162i | \(-0.347326\pi\) |
−0.0439466 | + | 0.999034i | \(0.513993\pi\) | |||||||
\(644\) | 34.8705 | + | 17.4890i | 1.37409 | + | 0.689163i | ||||
\(645\) | −10.8297 | − | 5.81918i | −0.426418 | − | 0.229130i | ||||
\(646\) | 9.21759 | + | 2.18198i | 0.362661 | + | 0.0858487i | ||||
\(647\) | − | 10.0479i | − | 0.395025i | −0.980300 | − | 0.197512i | \(-0.936714\pi\) | ||
0.980300 | − | 0.197512i | \(-0.0632863\pi\) | |||||||
\(648\) | 24.2159 | + | 7.84794i | 0.951290 | + | 0.308296i | ||||
\(649\) | − | 4.24456i | − | 0.166614i | ||||||
\(650\) | −2.49932 | + | 10.5582i | −0.0980316 | + | 0.414127i | ||||
\(651\) | −37.8851 | − | 20.3570i | −1.48483 | − | 0.797855i | ||||
\(652\) | −12.2068 | − | 36.7713i | −0.478053 | − | 1.44008i | ||||
\(653\) | −25.5935 | − | 6.85777i | −1.00155 | − | 0.268365i | −0.279457 | − | 0.960158i | \(-0.590154\pi\) |
−0.722096 | + | 0.691793i | \(0.756821\pi\) | |||||||
\(654\) | 20.2420 | − | 22.8243i | 0.791524 | − | 0.892500i | ||||
\(655\) | −14.6427 | − | 8.45394i | −0.572136 | − | 0.330323i | ||||
\(656\) | 4.31085 | − | 10.0235i | 0.168310 | − | 0.391351i | ||||
\(657\) | −24.3447 | + | 16.1125i | −0.949778 | + | 0.628608i | ||||
\(658\) | 13.3448 | + | 7.19079i | 0.520234 | + | 0.280326i | ||||
\(659\) | 6.76233 | − | 1.81196i | 0.263423 | − | 0.0705840i | −0.124690 | − | 0.992196i | \(-0.539794\pi\) |
0.388113 | + | 0.921612i | \(0.373127\pi\) | |||||||
\(660\) | 6.47607 | + | 9.20988i | 0.252081 | + | 0.358494i | ||||
\(661\) | 20.1902 | + | 5.40993i | 0.785306 | + | 0.210422i | 0.629123 | − | 0.777306i | \(-0.283414\pi\) |
0.156183 | + | 0.987728i | \(0.450081\pi\) | |||||||
\(662\) | 9.43740 | − | 10.0085i | 0.366795 | − | 0.388990i | ||||
\(663\) | 13.9481 | − | 14.8269i | 0.541701 | − | 0.575830i | ||||
\(664\) | −3.06151 | − | 8.39026i | −0.118810 | − | 0.325605i | ||||
\(665\) | 3.47311 | 0.134681 | ||||||||
\(666\) | 8.54124 | − | 3.13928i | 0.330966 | − | 0.121645i | ||||
\(667\) | −13.0920 | − | 13.0920i | −0.506926 | − | 0.506926i | ||||
\(668\) | 0.964757 | + | 16.4113i | 0.0373276 | + | 0.634974i | ||||
\(669\) | −41.3907 | + | 25.6126i | −1.60026 | + | 0.990240i | ||||
\(670\) | 0.274354 | + | 9.34205i | 0.0105992 | + | 0.360915i | ||||
\(671\) | 4.16791 | + | 7.21904i | 0.160901 | + | 0.278688i | ||||
\(672\) | −7.52084 | − | 41.9670i | −0.290123 | − | 1.61891i | ||||
\(673\) | 3.86200 | − | 6.68918i | 0.148869 | − | 0.257849i | −0.781941 | − | 0.623353i | \(-0.785770\pi\) |
0.930810 | + | 0.365504i | \(0.119103\pi\) | |||||||
\(674\) | 33.7588 | + | 18.1908i | 1.30034 | + | 0.700684i | ||||
\(675\) | −20.5978 | − | 9.49670i | −0.792808 | − | 0.365528i | ||||
\(676\) | 16.5548 | − | 10.9011i | 0.636724 | − | 0.419274i | ||||
\(677\) | 7.62160 | − | 2.04220i | 0.292922 | − | 0.0784882i | −0.109366 | − | 0.994002i | \(-0.534882\pi\) |
0.402287 | + | 0.915513i | \(0.368215\pi\) | |||||||
\(678\) | −11.2514 | − | 17.0433i | −0.432108 | − | 0.654546i | ||||
\(679\) | 15.9508 | + | 27.6277i | 0.612137 | + | 1.06025i | ||||
\(680\) | 2.60492 | − | 14.8436i | 0.0998940 | − | 0.569227i | ||||
\(681\) | 0.201396 | − | 0.855248i | 0.00771752 | − | 0.0327732i | ||||
\(682\) | −32.0309 | − | 7.58232i | −1.22653 | − | 0.290342i | ||||
\(683\) | −23.0318 | + | 23.0318i | −0.881288 | + | 0.881288i | −0.993666 | − | 0.112378i | \(-0.964153\pi\) |
0.112378 | + | 0.993666i | \(0.464153\pi\) | |||||||
\(684\) | 3.71144 | − | 4.72705i | 0.141910 | − | 0.180743i | ||||
\(685\) | −3.31144 | − | 3.31144i | −0.126524 | − | 0.126524i | ||||
\(686\) | 25.8456 | − | 15.9515i | 0.986790 | − | 0.609029i | ||||
\(687\) | −17.9605 | + | 19.0921i | −0.685237 | + | 0.728409i | ||||
\(688\) | 27.9738 | + | 22.0697i | 1.06649 | + | 0.841400i | ||||
\(689\) | −3.62267 | + | 2.09155i | −0.138013 | + | 0.0796816i | ||||
\(690\) | 8.30005 | − | 2.76611i | 0.315978 | − | 0.105304i | ||||
\(691\) | −6.66520 | − | 24.8749i | −0.253556 | − | 0.946285i | −0.968888 | − | 0.247500i | \(-0.920391\pi\) |
0.715332 | − | 0.698785i | \(-0.246276\pi\) | |||||||
\(692\) | −19.0924 | − | 3.93151i | −0.725785 | − | 0.149453i | ||||
\(693\) | 16.8944 | + | 50.4964i | 0.641764 | + | 1.91820i | ||||
\(694\) | −42.3099 | + | 12.6792i | −1.60606 | + | 0.481297i | ||||
\(695\) | −4.98218 | − | 2.87646i | −0.188985 | − | 0.109111i | ||||
\(696\) | −2.88766 | + | 20.0284i | −0.109457 | + | 0.759174i | ||||
\(697\) | 15.7965 | − | 9.12014i | 0.598337 | − | 0.345450i | ||||
\(698\) | −31.8120 | + | 33.7371i | −1.20410 | + | 1.27697i | ||||
\(699\) | 12.7048 | − | 23.6440i | 0.480540 | − | 0.894299i | ||||
\(700\) | 2.22938 | + | 37.9236i | 0.0842625 | + | 1.43338i | ||||
\(701\) | 35.0396 | − | 35.0396i | 1.32343 | − | 1.32343i | 0.412443 | − | 0.910983i | \(-0.364675\pi\) |
0.910983 | − | 0.412443i | \(-0.135325\pi\) | |||||||
\(702\) | −4.82366 | − | 11.9812i | −0.182057 | − | 0.452200i | ||||
\(703\) | − | 2.14843i | − | 0.0810295i | ||||||
\(704\) | −13.8385 | − | 29.5514i | −0.521557 | − | 1.11376i | ||||
\(705\) | 3.25543 | − | 0.979727i | 0.122607 | − | 0.0368987i | ||||
\(706\) | −5.69650 | + | 0.167293i | −0.214391 | + | 0.00629616i | ||||
\(707\) | 16.3534 | − | 61.0318i | 0.615034 | − | 2.29534i | ||||
\(708\) | 1.23963 | + | 3.38495i | 0.0465880 | + | 0.127214i | ||||
\(709\) | −12.2110 | − | 45.5722i | −0.458595 | − | 1.71150i | −0.677297 | − | 0.735710i | \(-0.736849\pi\) |
0.218702 | − | 0.975792i | \(-0.429818\pi\) | |||||||
\(710\) | 8.69190 | − | 2.60474i | 0.326201 | − | 0.0977543i | ||||
\(711\) | −2.53314 | − | 41.4345i | −0.0950000 | − | 1.55392i | ||||
\(712\) | −0.425744 | − | 4.82123i | −0.0159554 | − | 0.180683i | ||||
\(713\) | −12.7890 | + | 22.1512i | −0.478951 | + | 0.829568i | ||||
\(714\) | 31.8788 | − | 63.7477i | 1.19303 | − | 2.38570i | ||||
\(715\) | 1.47850 | − | 5.51784i | 0.0552928 | − | 0.206356i | ||||
\(716\) | 6.97635 | − | 2.31590i | 0.260719 | − | 0.0865492i | ||||
\(717\) | −26.3741 | + | 0.805449i | −0.984959 | + | 0.0300801i | ||||
\(718\) | 10.9960 | + | 17.8164i | 0.410366 | + | 0.664902i | ||||
\(719\) | 26.0582 | 0.971806 | 0.485903 | − | 0.874013i | \(-0.338491\pi\) | ||||
0.485903 | + | 0.874013i | \(0.338491\pi\) | |||||||
\(720\) | −7.85429 | − | 5.45336i | −0.292712 | − | 0.203235i | ||||
\(721\) | 64.7383 | 2.41098 | ||||||||
\(722\) | 13.3671 | + | 21.6583i | 0.497472 | + | 0.806038i | ||||
\(723\) | 16.6004 | + | 26.8267i | 0.617374 | + | 0.997695i | ||||
\(724\) | −6.17480 | − | 18.6008i | −0.229484 | − | 0.691293i | ||||
\(725\) | 4.66655 | − | 17.4158i | 0.173311 | − | 0.646807i | ||||
\(726\) | 7.60772 | + | 11.5240i | 0.282349 | + | 0.427695i | ||||
\(727\) | −4.96698 | + | 8.60307i | −0.184215 | + | 0.319070i | −0.943312 | − | 0.331908i | \(-0.892308\pi\) |
0.759097 | + | 0.650978i | \(0.225641\pi\) | |||||||
\(728\) | −13.8916 | + | 16.5826i | −0.514856 | + | 0.614593i | ||||
\(729\) | 26.5483 | − | 4.91824i | 0.983269 | − | 0.182157i | ||||
\(730\) | 10.5044 | − | 3.14790i | 0.388785 | − | 0.116509i | ||||
\(731\) | 15.4167 | + | 57.5359i | 0.570207 | + | 2.12804i | ||||
\(732\) | −5.43215 | − | 4.53980i | −0.200778 | − | 0.167796i | ||||
\(733\) | 3.40512 | − | 12.7081i | 0.125771 | − | 0.469384i | −0.874095 | − | 0.485755i | \(-0.838545\pi\) |
0.999866 | + | 0.0163712i | \(0.00521135\pi\) | |||||||
\(734\) | −4.35713 | + | 0.127959i | −0.160825 | + | 0.00472305i | ||||
\(735\) | 3.77569 | − | 16.0338i | 0.139269 | − | 0.591417i | ||||
\(736\) | −25.0838 | + | 3.70888i | −0.924601 | + | 0.136711i | ||||
\(737\) | 33.8295i | 1.24613i | ||||||||
\(738\) | −1.04500 | − | 11.5258i | −0.0384669 | − | 0.424269i | ||||
\(739\) | −32.6637 | + | 32.6637i | −1.20155 | + | 1.20155i | −0.227861 | + | 0.973694i | \(0.573173\pi\) |
−0.973694 | + | 0.227861i | \(0.926827\pi\) | |||||||
\(740\) | −3.41225 | + | 0.200593i | −0.125437 | + | 0.00737393i | ||||
\(741\) | −3.04791 | + | 0.0930813i | −0.111968 | + | 0.00341943i | ||||
\(742\) | −10.0480 | + | 10.6560i | −0.368874 | + | 0.391195i | ||||
\(743\) | −8.76936 | + | 5.06299i | −0.321717 | + | 0.185743i | −0.652157 | − | 0.758084i | \(-0.726136\pi\) |
0.330441 | + | 0.943827i | \(0.392803\pi\) | |||||||
\(744\) | 27.7585 | − | 3.30789i | 1.01767 | − | 0.121273i | ||||
\(745\) | 3.10414 | + | 1.79218i | 0.113727 | + | 0.0656603i | ||||
\(746\) | 39.6644 | − | 11.8864i | 1.45222 | − | 0.435193i | ||||
\(747\) | −7.09480 | − | 6.27728i | −0.259585 | − | 0.229674i | ||||
\(748\) | 11.0020 | − | 53.4287i | 0.402274 | − | 1.95355i | ||||
\(749\) | −0.155261 | − | 0.579443i | −0.00567312 | − | 0.0211724i | ||||
\(750\) | 13.6755 | + | 12.1283i | 0.499359 | + | 0.442862i | ||||
\(751\) | −22.6187 | + | 13.0589i | −0.825368 | + | 0.476526i | −0.852264 | − | 0.523112i | \(-0.824771\pi\) |
0.0268964 | + | 0.999638i | \(0.491438\pi\) | |||||||
\(752\) | −9.78527 | + | 1.15446i | −0.356832 | + | 0.0420990i | ||||
\(753\) | −1.54182 | − | 5.12315i | −0.0561870 | − | 0.186698i | ||||
\(754\) | 8.73699 | − | 5.39232i | 0.318183 | − | 0.196377i | ||||
\(755\) | −4.77230 | − | 4.77230i | −0.173682 | − | 0.173682i | ||||
\(756\) | −28.2204 | − | 35.3359i | −1.02637 | − | 1.28515i | ||||
\(757\) | 2.39808 | − | 2.39808i | 0.0871596 | − | 0.0871596i | −0.662183 | − | 0.749342i | \(-0.730370\pi\) |
0.749342 | + | 0.662183i | \(0.230370\pi\) | |||||||
\(758\) | −25.4281 | − | 6.01930i | −0.923589 | − | 0.218631i | ||||
\(759\) | 30.3243 | − | 9.12612i | 1.10070 | − | 0.331257i | ||||
\(760\) | −1.84818 | + | 1.29635i | −0.0670406 | + | 0.0470234i | ||||
\(761\) | −23.1857 | − | 40.1589i | −0.840482 | − | 1.45576i | −0.889488 | − | 0.456959i | \(-0.848939\pi\) |
0.0490055 | − | 0.998799i | \(-0.484395\pi\) | |||||||
\(762\) | −11.8545 | + | 0.710808i | −0.429445 | + | 0.0257499i | ||||
\(763\) | −52.3487 | + | 14.0268i | −1.89515 | + | 0.507804i | ||||
\(764\) | −15.3269 | − | 23.2760i | −0.554509 | − | 0.842098i | ||||
\(765\) | −5.07159 | − | 15.1587i | −0.183364 | − | 0.548065i | ||||
\(766\) | 4.14313 | + | 2.23251i | 0.149697 | + | 0.0806639i | ||||
\(767\) | 0.914499 | − | 1.58396i | 0.0330206 | − | 0.0571934i | ||||
\(768\) | 19.6664 | + | 19.5252i | 0.709651 | + | 0.704554i | ||||
\(769\) | −7.38255 | − | 12.7870i | −0.266222 | − | 0.461109i | 0.701661 | − | 0.712511i | \(-0.252442\pi\) |
−0.967883 | + | 0.251401i | \(0.919109\pi\) | |||||||
\(770\) | −0.587134 | − | 19.9925i | −0.0211588 | − | 0.720480i | ||||
\(771\) | −1.01818 | − | 33.3398i | −0.0366688 | − | 1.20071i | ||||
\(772\) | −5.35450 | + | 0.314770i | −0.192713 | + | 0.0113288i | ||||
\(773\) | 22.1409 | + | 22.1409i | 0.796353 | + | 0.796353i | 0.982518 | − | 0.186165i | \(-0.0596060\pi\) |
−0.186165 | + | 0.982518i | \(0.559606\pi\) | |||||||
\(774\) | 37.2393 | + | 6.44531i | 1.33854 | + | 0.231672i | ||||
\(775\) | −24.9083 | −0.894731 | ||||||||
\(776\) | −18.8002 | − | 8.74810i | −0.674887 | − | 0.314038i | ||||
\(777\) | −15.7354 | − | 3.70541i | −0.564504 | − | 0.132931i | ||||
\(778\) | −6.65195 | + | 7.05448i | −0.238484 | + | 0.252915i | ||||
\(779\) | −2.63922 | − | 0.707177i | −0.0945599 | − | 0.0253372i | ||||
\(780\) | 0.432412 | + | 4.83217i | 0.0154828 | + | 0.173019i | ||||
\(781\) | 31.7248 | − | 8.50064i | 1.13520 | − | 0.304177i | ||||
\(782\) | −37.3160 | − | 20.1076i | −1.33442 | − | 0.719046i | ||||
\(783\) | 7.42790 | + | 20.1367i | 0.265451 | + | 0.719626i | ||||
\(784\) | −18.8620 | + | 43.8574i | −0.673642 | + | 1.56633i | ||||
\(785\) | −11.6811 | − | 6.74410i | −0.416917 | − | 0.240707i | ||||
\(786\) | 50.9203 | + | 10.4234i | 1.81627 | + | 0.371789i | ||||
\(787\) | −4.18136 | − | 1.12039i | −0.149050 | − | 0.0399377i | 0.183523 | − | 0.983015i | \(-0.441250\pi\) |
−0.332572 | + | 0.943078i | \(0.607917\pi\) | |||||||
\(788\) | 38.2158 | − | 12.6863i | 1.36138 | − | 0.451930i | ||||
\(789\) | −38.8195 | + | 24.0215i | −1.38201 | + | 0.855190i | ||||
\(790\) | −3.59187 | + | 15.1736i | −0.127793 | + | 0.539851i | ||||
\(791\) | 36.2799i | 1.28996i | ||||||||
\(792\) | −27.8381 | − | 20.5653i | −0.989183 | − | 0.730757i | ||||
\(793\) | 3.59194i | 0.127553i | ||||||||
\(794\) | 4.55064 | + | 1.07722i | 0.161496 | + | 0.0382292i | ||||
\(795\) | 0.100266 | + | 3.28318i | 0.00355608 | + | 0.116442i | ||||
\(796\) | 7.08409 | − | 14.1246i | 0.251089 | − | 0.500634i | ||||
\(797\) | 51.5141 | + | 13.8032i | 1.82472 | + | 0.488933i | 0.997352 | − | 0.0727237i | \(-0.0231691\pi\) |
0.827370 | + | 0.561657i | \(0.189836\pi\) | |||||||
\(798\) | −10.1289 | + | 3.37561i | −0.358560 | + | 0.119495i | ||||
\(799\) | −14.2648 | − | 8.23579i | −0.504652 | − | 0.291361i | ||||
\(800\) | −15.3414 | − | 19.3485i | −0.542400 | − | 0.684074i | ||||
\(801\) | −2.83330 | − | 4.28090i | −0.100110 | − | 0.151258i | ||||
\(802\) | 2.57787 | − | 4.78405i | 0.0910277 | − | 0.168931i | ||||
\(803\) | 38.3403 | − | 10.2732i | 1.35300 | − | 0.362535i | ||||
\(804\) | −9.87992 | − | 26.9784i | −0.348438 | − | 0.951454i | ||||
\(805\) | −15.0126 | − | 4.02261i | −0.529124 | − | 0.141778i | ||||
\(806\) | −10.3195 | − | 9.73064i | −0.363488 | − | 0.342747i | ||||
\(807\) | 0.427428 | + | 1.42026i | 0.0150462 | + | 0.0499954i | ||||
\(808\) | 14.0779 | + | 38.5814i | 0.495260 | + | 1.35729i | ||||
\(809\) | 30.1140 | 1.05875 | 0.529375 | − | 0.848388i | \(-0.322426\pi\) | ||||
0.529375 | + | 0.848388i | \(0.322426\pi\) | |||||||
\(810\) | −10.0802 | − | 1.11659i | −0.354183 | − | 0.0392329i | ||||
\(811\) | 20.5672 | + | 20.5672i | 0.722214 | + | 0.722214i | 0.969056 | − | 0.246842i | \(-0.0793929\pi\) |
−0.246842 | + | 0.969056i | \(0.579393\pi\) | |||||||
\(812\) | 23.8836 | − | 26.8670i | 0.838148 | − | 0.942846i | ||||
\(813\) | 29.1544 | + | 15.6657i | 1.02249 | + | 0.549420i | ||||
\(814\) | −12.3671 | + | 0.363194i | −0.433468 | + | 0.0127299i | ||||
\(815\) | 7.71810 | + | 13.3681i | 0.270353 | + | 0.468265i | ||||
\(816\) | 6.82998 | + | 45.8215i | 0.239097 | + | 1.60407i | ||||
\(817\) | 4.46135 | − | 7.72728i | 0.156083 | − | 0.270343i | ||||
\(818\) | 3.38426 | − | 6.28057i | 0.118328 | − | 0.219595i | ||||
\(819\) | −4.57502 | + | 22.4839i | −0.159864 | + | 0.785649i | ||||
\(820\) | −0.876761 | + | 4.25779i | −0.0306178 | + | 0.148688i | ||||
\(821\) | 31.8546 | − | 8.53541i | 1.11173 | − | 0.297888i | 0.344199 | − | 0.938897i | \(-0.388151\pi\) |
0.767533 | + | 0.641009i | \(0.221484\pi\) | |||||||
\(822\) | 12.8759 | + | 6.43896i | 0.449099 | + | 0.224584i | ||||
\(823\) | 4.71220 | + | 8.16178i | 0.164257 | + | 0.284502i | 0.936391 | − | 0.350958i | \(-0.114144\pi\) |
−0.772134 | + | 0.635460i | \(0.780811\pi\) | |||||||
\(824\) | −34.4498 | + | 24.1637i | −1.20012 | + | 0.841783i | ||||
\(825\) | 22.4617 | + | 21.1304i | 0.782015 | + | 0.735666i | ||||
\(826\) | 1.47515 | − | 6.23165i | 0.0513270 | − | 0.216827i | ||||
\(827\) | −38.7468 | + | 38.7468i | −1.34736 | + | 1.34736i | −0.458841 | + | 0.888518i | \(0.651735\pi\) |
−0.888518 | + | 0.458841i | \(0.848265\pi\) | |||||||
\(828\) | −21.5177 | + | 16.1341i | −0.747792 | + | 0.560699i | ||||
\(829\) | 11.0569 | + | 11.0569i | 0.384021 | + | 0.384021i | 0.872548 | − | 0.488528i | \(-0.162466\pi\) |
−0.488528 | + | 0.872548i | \(0.662466\pi\) | |||||||
\(830\) | 1.86887 | + | 3.02807i | 0.0648694 | + | 0.105106i | ||||
\(831\) | −11.9070 | − | 2.80390i | −0.413050 | − | 0.0972662i | ||||
\(832\) | 1.20276 | − | 14.0093i | 0.0416982 | − | 0.485686i | ||||
\(833\) | −69.1173 | + | 39.9049i | −2.39477 | + | 1.38262i | ||||
\(834\) | 17.3257 | + | 3.54656i | 0.599939 | + | 0.122807i | ||||
\(835\) | −1.69520 | − | 6.32656i | −0.0586647 | − | 0.218940i | ||||
\(836\) | −6.82463 | + | 4.49392i | −0.236035 | + | 0.155425i | ||||
\(837\) | 24.2146 | − | 17.1117i | 0.836979 | − | 0.591468i | ||||
\(838\) | −8.97333 | − | 29.9435i | −0.309978 | − | 1.03438i | ||||
\(839\) | 25.3695 | + | 14.6471i | 0.875853 | + | 0.505674i | 0.869289 | − | 0.494305i | \(-0.164577\pi\) |
0.00656388 | + | 0.999978i | \(0.497911\pi\) | |||||||
\(840\) | 6.30705 | + | 15.7722i | 0.217614 | + | 0.544191i | ||||
\(841\) | 10.3391 | − | 5.96927i | 0.356520 | − | 0.205837i | ||||
\(842\) | 8.47167 | + | 7.98828i | 0.291953 | + | 0.275294i | ||||
\(843\) | 21.5985 | + | 34.9038i | 0.743892 | + | 1.20215i | ||||
\(844\) | 18.1735 | − | 20.4437i | 0.625559 | − | 0.703701i | ||||
\(845\) | −5.58412 | + | 5.58412i | −0.192100 | + | 0.192100i | ||||
\(846\) | −8.54188 | + | 6.02131i | −0.293676 | + | 0.207017i | ||||
\(847\) | − | 24.5309i | − | 0.842891i | ||||||
\(848\) | 1.36956 | − | 9.42094i | 0.0470308 | − | 0.323516i | ||||
\(849\) | 0.949637 | + | 0.893353i | 0.0325914 | + | 0.0306598i | ||||
\(850\) | −1.21174 | − | 41.2610i | −0.0415623 | − | 1.41524i | ||||
\(851\) | −2.48834 | + | 9.28662i | −0.0852992 | + | 0.318341i | ||||
\(852\) | −22.8173 | + | 16.0443i | −0.781708 | + | 0.549670i | ||||
\(853\) | −10.9035 | − | 40.6922i | −0.373327 | − | 1.39328i | −0.855774 | − | 0.517350i | \(-0.826918\pi\) |
0.482447 | − | 0.875925i | \(-0.339748\pi\) | |||||||
\(854\) | 3.61022 | + | 12.0471i | 0.123539 | + | 0.412244i | ||||
\(855\) | −1.06845 | + | 2.14283i | −0.0365402 | + | 0.0732834i | ||||
\(856\) | 0.298899 | + | 0.250393i | 0.0102162 | + | 0.00855826i | ||||
\(857\) | 14.2207 | − | 24.6310i | 0.485769 | − | 0.841377i | −0.514097 | − | 0.857732i | \(-0.671873\pi\) |
0.999866 | + | 0.0163548i | \(0.00520611\pi\) | |||||||
\(858\) | 1.05106 | + | 17.5292i | 0.0358827 | + | 0.598435i | ||||
\(859\) | −0.896437 | + | 3.34555i | −0.0305860 | + | 0.114149i | −0.979531 | − | 0.201293i | \(-0.935486\pi\) |
0.948945 | + | 0.315441i | \(0.102152\pi\) | |||||||
\(860\) | −12.6894 | − | 6.36428i | −0.432706 | − | 0.217020i | ||||
\(861\) | −9.73136 | + | 18.1104i | −0.331644 | + | 0.617199i | ||||
\(862\) | −1.30087 | + | 0.802875i | −0.0443078 | + | 0.0273460i | ||||
\(863\) | −11.1356 | −0.379062 | −0.189531 | − | 0.981875i | \(-0.560697\pi\) | ||||
−0.189531 | + | 0.981875i | \(0.560697\pi\) | |||||||
\(864\) | 28.2064 | + | 8.27031i | 0.959602 | + | 0.281362i | ||||
\(865\) | 7.76622 | 0.264059 | ||||||||
\(866\) | −18.6906 | + | 11.5355i | −0.635133 | + | 0.391993i | ||||
\(867\) | −22.7207 | + | 42.2839i | −0.771635 | + | 1.43604i | ||||
\(868\) | −44.3910 | − | 22.2640i | −1.50673 | − | 0.755688i | ||||
\(869\) | −14.6080 | + | 54.5177i | −0.495541 | + | 1.84939i | ||||
\(870\) | −0.482539 | − | 8.04758i | −0.0163596 | − | 0.272838i | ||||
\(871\) | −7.28863 | + | 12.6243i | −0.246966 | + | 0.427757i | ||||
\(872\) | 22.6213 | − | 27.0035i | 0.766055 | − | 0.914454i | ||||
\(873\) | −21.9527 | + | 1.34210i | −0.742986 | + | 0.0454231i | ||||
\(874\) | 1.82275 | + | 6.08242i | 0.0616554 | + | 0.205741i | ||||
\(875\) | −8.40437 | − | 31.3655i | −0.284119 | − | 1.06035i | ||||
\(876\) | −27.5753 | + | 19.3900i | −0.931683 | + | 0.655127i | ||||
\(877\) | 7.32539 | − | 27.3387i | 0.247361 | − | 0.923163i | −0.724821 | − | 0.688937i | \(-0.758078\pi\) |
0.972182 | − | 0.234226i | \(-0.0752557\pi\) | |||||||
\(878\) | 0.187911 | + | 6.39856i | 0.00634168 | + | 0.215941i | ||||
\(879\) | −25.8859 | − | 24.3517i | −0.873111 | − | 0.821362i | ||||
\(880\) | 7.77469 | + | 10.4197i | 0.262085 | + | 0.351247i | ||||
\(881\) | 4.86363i | 0.163860i | 0.996638 | + | 0.0819299i | \(0.0261084\pi\) | ||||
−0.996638 | + | 0.0819299i | \(0.973892\pi\) | |||||||
\(882\) | 4.57235 | + | 50.4306i | 0.153959 | + | 1.69809i | ||||
\(883\) | 8.56478 | − | 8.56478i | 0.288228 | − | 0.288228i | −0.548151 | − | 0.836379i | \(-0.684668\pi\) |
0.836379 | + | 0.548151i | \(0.184668\pi\) | |||||||
\(884\) | 15.6170 | − | 17.5678i | 0.525256 | − | 0.590869i | ||||
\(885\) | −0.755727 | − | 1.22128i | −0.0254035 | − | 0.0410528i | ||||
\(886\) | −27.1507 | − | 25.6015i | −0.912146 | − | 0.860099i | ||||
\(887\) | 3.99885 | − | 2.30874i | 0.134268 | − | 0.0775199i | −0.431361 | − | 0.902179i | \(-0.641967\pi\) |
0.565630 | + | 0.824659i | \(0.308633\pi\) | |||||||
\(888\) | 9.75648 | − | 3.90147i | 0.327406 | − | 0.130925i | ||||
\(889\) | 18.2707 | + | 10.5486i | 0.612780 | + | 0.353789i | ||||
\(890\) | 0.553543 | + | 1.84715i | 0.0185548 | + | 0.0619165i | ||||
\(891\) | −36.3525 | − | 5.11099i | −1.21785 | − | 0.171225i | ||||
\(892\) | −46.9414 | + | 30.9102i | −1.57171 | + | 1.03495i | ||||
\(893\) | 0.638605 | + | 2.38330i | 0.0213701 | + | 0.0797543i | ||||
\(894\) | −10.7947 | − | 2.20968i | −0.361030 | − | 0.0739028i | ||||
\(895\) | −2.53624 | + | 1.46430i | −0.0847772 | + | 0.0489461i | ||||
\(896\) | −10.0467 | − | 48.1953i | −0.335636 | − | 1.61009i | ||||
\(897\) | 13.2824 | + | 3.12779i | 0.443488 | + | 0.104434i | ||||
\(898\) | 4.41707 | + | 7.15683i | 0.147399 | + | 0.238826i | ||||
\(899\) | 16.6665 | + | 16.6665i | 0.555859 | + | 0.555859i | ||||
\(900\) | −24.0839 | − | 10.2911i | −0.802796 | − | 0.343038i | ||||
\(901\) | 11.2533 | − | 11.2533i | 0.374903 | − | 0.374903i | ||||
\(902\) | −3.62461 | + | 15.3119i | −0.120686 | + | 0.509830i | ||||
\(903\) | −48.9012 | − | 46.0029i | −1.62733 | − | 1.53088i | ||||
\(904\) | −13.5415 | − | 19.3060i | −0.450385 | − | 0.642107i | ||||
\(905\) | 3.90421 | + | 6.76228i | 0.129780 | + | 0.224786i | ||||
\(906\) | 18.5562 | + | 9.27954i | 0.616488 | + | 0.308292i | ||||
\(907\) | 8.35931 | − | 2.23987i | 0.277566 | − | 0.0743737i | −0.117350 | − | 0.993091i | \(-0.537440\pi\) |
0.394917 | + | 0.918717i | \(0.370773\pi\) | |||||||
\(908\) | 0.204626 | − | 0.993717i | 0.00679075 | − | 0.0329777i | ||||
\(909\) | 32.6244 | + | 28.8652i | 1.08208 | + | 0.957398i | ||||
\(910\) | 4.08832 | − | 7.58718i | 0.135527 | − | 0.251512i | ||||
\(911\) | −23.9969 | + | 41.5638i | −0.795052 | + | 1.37707i | 0.127755 | + | 0.991806i | \(0.459223\pi\) |
−0.922806 | + | 0.385264i | \(0.874110\pi\) | |||||||
\(912\) | 4.13006 | − | 5.57695i | 0.136760 | − | 0.184671i | ||||
\(913\) | 6.43999 | + | 11.1544i | 0.213133 | + | 0.369156i | ||||
\(914\) | −29.7595 | + | 0.873967i | −0.984357 | + | 0.0289083i | ||||
\(915\) | 2.48454 | + | 1.33504i | 0.0821365 | + | 0.0441349i | ||||
\(916\) | −20.1094 | + | 22.6214i | −0.664435 | + | 0.747433i | ||||
\(917\) | −65.2905 | − | 65.2905i | −2.15608 | − | 2.15608i | ||||
\(918\) | 29.5239 | + | 39.2795i | 0.974435 | + | 1.29642i | ||||
\(919\) | 51.8939 | 1.71182 | 0.855910 | − | 0.517124i | \(-0.172997\pi\) | ||||
0.855910 | + | 0.517124i | \(0.172997\pi\) | |||||||
\(920\) | 9.49025 | − | 3.46289i | 0.312884 | − | 0.114168i | ||||
\(921\) | 10.8320 | + | 35.9927i | 0.356928 | + | 1.18600i | ||||
\(922\) | 40.7557 | + | 38.4302i | 1.34222 | + | 1.26563i | ||||
\(923\) | 13.6703 | + | 3.66296i | 0.449965 | + | 0.120568i | ||||
\(924\) | 21.1436 | + | 57.7353i | 0.695573 | + | 1.89935i | ||||
\(925\) | −9.04347 | + | 2.42319i | −0.297347 | + | 0.0796740i | ||||
\(926\) | 7.73097 | − | 14.3473i | 0.254055 | − | 0.471480i | ||||
\(927\) | −19.9157 | + | 39.9421i | −0.654119 | + | 1.31187i | ||||
\(928\) | −2.68124 | + | 23.2116i | −0.0880160 | + | 0.761957i | ||||
\(929\) | 8.80130 | + | 5.08143i | 0.288761 | + | 0.166716i | 0.637383 | − | 0.770547i | \(-0.280017\pi\) |
−0.348622 | + | 0.937263i | \(0.613350\pi\) | |||||||
\(930\) | −10.5662 | + | 3.52133i | −0.346479 | + | 0.115469i | ||||
\(931\) | 11.5478 | + | 3.09423i | 0.378465 | + | 0.101409i | ||||
\(932\) | 13.8949 | − | 27.7044i | 0.455143 | − | 0.907488i | ||||
\(933\) | −0.0352020 | − | 1.15267i | −0.00115246 | − | 0.0377368i | ||||
\(934\) | −48.9427 | − | 11.5856i | −1.60145 | − | 0.379094i | ||||
\(935\) | 21.7332i | 0.710751i | ||||||||
\(936\) | −5.95760 | − | 13.6722i | −0.194730 | − | 0.446890i | ||||
\(937\) | 37.8157i | 1.23539i | 0.786420 | + | 0.617693i | \(0.211932\pi\) | ||||
−0.786420 | + | 0.617693i | \(0.788068\pi\) | |||||||
\(938\) | −11.7571 | + | 49.6668i | −0.383882 | + | 1.62168i | ||||
\(939\) | 24.3684 | − | 15.0792i | 0.795232 | − | 0.492090i | ||||
\(940\) | 3.72567 | − | 1.23679i | 0.121518 | − | 0.0403396i | ||||
\(941\) | −34.3731 | − | 9.21025i | −1.12053 | − | 0.300246i | −0.349433 | − | 0.936961i | \(-0.613626\pi\) |
−0.771099 | + | 0.636716i | \(0.780293\pi\) | |||||||
\(942\) | 40.6215 | + | 8.31520i | 1.32352 | + | 0.270924i | ||||
\(943\) | 10.5890 | + | 6.11357i | 0.344826 | + | 0.199085i | ||||
\(944\) | 1.54099 | + | 3.86671i | 0.0501550 | + | 0.125851i | ||||
\(945\) | 13.8517 | + | 11.5212i | 0.450595 | + | 0.374786i | ||||
\(946\) | −45.2353 | − | 24.3749i | −1.47073 | − | 0.792495i | ||||
\(947\) | −10.0399 | + | 2.69018i | −0.326253 | + | 0.0874191i | −0.418228 | − | 0.908342i | \(-0.637349\pi\) |
0.0919752 | + | 0.995761i | \(0.470682\pi\) | |||||||
\(948\) | −4.27234 | − | 47.7430i | −0.138759 | − | 1.55062i | ||||
\(949\) | 16.5210 | + | 4.42678i | 0.536293 | + | 0.143699i | ||||
\(950\) | −4.24210 | + | 4.49880i | −0.137632 | + | 0.145960i | ||||
\(951\) | −11.4598 | − | 2.69860i | −0.371611 | − | 0.0875080i | ||||
\(952\) | 34.7212 | − | 74.6177i | 1.12532 | − | 2.41837i | ||||
\(953\) | −24.6743 | −0.799280 | −0.399640 | − | 0.916672i | \(-0.630865\pi\) | ||||
−0.399640 | + | 0.916672i | \(0.630865\pi\) | |||||||
\(954\) | −3.48343 | − | 9.47757i | −0.112780 | − | 0.306848i | ||||
\(955\) | 7.85126 | + | 7.85126i | 0.254061 | + | 0.254061i | ||||
\(956\) | −30.4159 | + | 1.78803i | −0.983719 | + | 0.0578289i | ||||
\(957\) | −0.890777 | − | 29.1681i | −0.0287947 | − | 0.942871i | ||||
\(958\) | −0.219846 | − | 7.48599i | −0.00710290 | − | 0.241861i | ||||
\(959\) | −12.7873 | − | 22.1482i | −0.412922 | − | 0.715203i | ||||
\(960\) | −9.24323 | − | 6.03888i | −0.298324 | − | 0.194904i | ||||
\(961\) | 0.780708 | − | 1.35223i | 0.0251841 | − | 0.0436202i | ||||
\(962\) | −4.69334 | − | 2.52899i | −0.151319 | − | 0.0815379i | ||||
\(963\) | 0.405268 | + | 0.0824639i | 0.0130596 | + | 0.00265736i | ||||
\(964\) | 20.0339 | + | 30.4242i | 0.645249 | + | 0.979898i | ||||
\(965\) | 2.06416 | − | 0.553089i | 0.0664475 | − | 0.0178046i | ||||
\(966\) | 47.6922 | − | 2.85966i | 1.53447 | − | 0.0920082i | ||||
\(967\) | 12.5371 | + | 21.7150i | 0.403167 | + | 0.698306i | 0.994106 | − | 0.108410i | \(-0.0345759\pi\) |
−0.590939 | + | 0.806716i | \(0.701243\pi\) | |||||||
\(968\) | 9.15620 | + | 13.0539i | 0.294291 | + | 0.419567i | ||||
\(969\) | 11.1090 | − | 3.34327i | 0.356873 | − | 0.107401i | ||||
\(970\) | 8.03921 | + | 1.90303i | 0.258123 | + | 0.0611027i | ||||
\(971\) | 18.9203 | − | 18.9203i | 0.607180 | − | 0.607180i | −0.335028 | − | 0.942208i | \(-0.608746\pi\) |
0.942208 | + | 0.335028i | \(0.108746\pi\) | |||||||
\(972\) | 30.4831 | − | 6.54085i | 0.977745 | − | 0.209798i | ||||
\(973\) | −22.2152 | − | 22.2152i | −0.712186 | − | 0.712186i | ||||
\(974\) | 2.23293 | − | 1.37813i | 0.0715478 | − | 0.0441581i | ||||
\(975\) | 3.82952 | + | 12.7247i | 0.122643 | + | 0.407517i | ||||
\(976\) | −6.41776 | − | 5.06324i | −0.205428 | − | 0.162070i | ||||
\(977\) | −12.1897 | + | 7.03771i | −0.389982 | + | 0.225156i | −0.682152 | − | 0.731210i | \(-0.738956\pi\) |
0.292170 | + | 0.956366i | \(0.405623\pi\) | |||||||
\(978\) | −35.5018 | − | 31.4852i | −1.13522 | − | 1.00679i | ||||
\(979\) | 1.80650 | + | 6.74196i | 0.0577360 | + | 0.215474i | ||||
\(980\) | 3.83624 | − | 18.6298i | 0.122544 | − | 0.595107i | ||||
\(981\) | 7.45005 | − | 36.6132i | 0.237862 | − | 1.16897i | ||||
\(982\) | −4.90175 | + | 1.46893i | −0.156421 | + | 0.0468755i | ||||
\(983\) | −0.562149 | − | 0.324557i | −0.0179298 | − | 0.0103518i | 0.491008 | − | 0.871155i | \(-0.336628\pi\) |
−0.508938 | + | 0.860803i | \(0.669962\pi\) | |||||||
\(984\) | −1.58128 | − | 13.2695i | −0.0504095 | − | 0.423016i | ||||
\(985\) | −13.8933 | + | 8.02129i | −0.442677 | + | 0.255579i | ||||
\(986\) | −26.7976 | + | 28.4192i | −0.853410 | + | 0.905052i | ||||
\(987\) | 18.5571 | − | 0.566722i | 0.590678 | − | 0.0180390i | ||||
\(988\) | −3.51499 | + | 0.206632i | −0.111827 | + | 0.00657385i | ||||
\(989\) | −28.2341 | + | 28.2341i | −0.897792 | + | 0.897792i | ||||
\(990\) | 12.5156 | + | 5.78814i | 0.397771 | + | 0.183959i | ||||
\(991\) | − | 36.5529i | − | 1.16114i | −0.814210 | − | 0.580571i | \(-0.802829\pi\) | ||
0.814210 | − | 0.580571i | \(-0.197171\pi\) | |||||||
\(992\) | 31.9323 | − | 4.72150i | 1.01385 | − | 0.149908i | ||||
\(993\) | 3.86176 | − | 16.3993i | 0.122549 | − | 0.520417i | ||||
\(994\) | 49.5311 | − | 1.45461i | 1.57103 | − | 0.0461375i | ||||
\(995\) | −1.62940 | + | 6.08100i | −0.0516554 | + | 0.192781i | ||||
\(996\) | −8.39341 | − | 7.01460i | −0.265955 | − | 0.222266i | ||||
\(997\) | −2.07498 | − | 7.74395i | −0.0657154 | − | 0.245253i | 0.925253 | − | 0.379352i | \(-0.123853\pi\) |
−0.990968 | + | 0.134098i | \(0.957186\pi\) | |||||||
\(998\) | −16.8652 | + | 5.05408i | −0.533859 | + | 0.159984i | ||||
\(999\) | 7.12691 | − | 8.56848i | 0.225485 | − | 0.271095i |
(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 | 144.2.u.a.83.20 | yes | 88 | |
3.2 | odd | 2 | 432.2.v.a.35.3 | 88 | |||
4.3 | odd | 2 | 576.2.y.a.47.8 | 88 | |||
9.4 | even | 3 | 432.2.v.a.179.11 | 88 | |||
9.5 | odd | 6 | inner | 144.2.u.a.131.12 | yes | 88 | |
12.11 | even | 2 | 1728.2.z.a.1007.13 | 88 | |||
16.5 | even | 4 | 576.2.y.a.335.4 | 88 | |||
16.11 | odd | 4 | inner | 144.2.u.a.11.12 | ✓ | 88 | |
36.23 | even | 6 | 576.2.y.a.239.4 | 88 | |||
36.31 | odd | 6 | 1728.2.z.a.1583.13 | 88 | |||
48.5 | odd | 4 | 1728.2.z.a.143.13 | 88 | |||
48.11 | even | 4 | 432.2.v.a.251.11 | 88 | |||
144.5 | odd | 12 | 576.2.y.a.527.8 | 88 | |||
144.59 | even | 12 | inner | 144.2.u.a.59.20 | yes | 88 | |
144.85 | even | 12 | 1728.2.z.a.719.13 | 88 | |||
144.139 | odd | 12 | 432.2.v.a.395.3 | 88 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
144.2.u.a.11.12 | ✓ | 88 | 16.11 | odd | 4 | inner | |
144.2.u.a.59.20 | yes | 88 | 144.59 | even | 12 | inner | |
144.2.u.a.83.20 | yes | 88 | 1.1 | even | 1 | trivial | |
144.2.u.a.131.12 | yes | 88 | 9.5 | odd | 6 | inner | |
432.2.v.a.35.3 | 88 | 3.2 | odd | 2 | |||
432.2.v.a.179.11 | 88 | 9.4 | even | 3 | |||
432.2.v.a.251.11 | 88 | 48.11 | even | 4 | |||
432.2.v.a.395.3 | 88 | 144.139 | odd | 12 | |||
576.2.y.a.47.8 | 88 | 4.3 | odd | 2 | |||
576.2.y.a.239.4 | 88 | 36.23 | even | 6 | |||
576.2.y.a.335.4 | 88 | 16.5 | even | 4 | |||
576.2.y.a.527.8 | 88 | 144.5 | odd | 12 | |||
1728.2.z.a.143.13 | 88 | 48.5 | odd | 4 | |||
1728.2.z.a.719.13 | 88 | 144.85 | even | 12 | |||
1728.2.z.a.1007.13 | 88 | 12.11 | even | 2 | |||
1728.2.z.a.1583.13 | 88 | 36.31 | odd | 6 |