Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(5,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([35, 29]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.bn (of order \(42\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(648\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{42})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{42}]$ |
Embedding invariants
Embedding label | 164.13 | ||
Character | \(\chi\) | \(=\) | 441.164 |
Dual form | 441.2.bn.a.320.13 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{25}{42}\right)\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.714955 | + | 1.48462i | −0.505549 | + | 1.04978i | 0.479505 | + | 0.877539i | \(0.340816\pi\) |
−0.985054 | + | 0.172245i | \(0.944898\pi\) | |||||||
\(3\) | 0.502561 | + | 1.65754i | 0.290154 | + | 0.956980i | ||||
\(4\) | −0.445953 | − | 0.559208i | −0.222977 | − | 0.279604i | ||||
\(5\) | 3.74883 | + | 1.15636i | 1.67653 | + | 0.517140i | 0.979763 | − | 0.200161i | \(-0.0641465\pi\) |
0.696764 | + | 0.717301i | \(0.254623\pi\) | |||||||
\(6\) | −2.82012 | − | 0.438953i | −1.15131 | − | 0.179202i | ||||
\(7\) | 0.974463 | − | 2.45976i | 0.368312 | − | 0.929702i | ||||
\(8\) | −2.06393 | + | 0.471079i | −0.729710 | + | 0.166551i | ||||
\(9\) | −2.49487 | + | 1.66603i | −0.831622 | + | 0.555343i | ||||
\(10\) | −4.39700 | + | 4.73883i | −1.39045 | + | 1.49855i | ||||
\(11\) | 0.613086 | − | 0.0459444i | 0.184852 | − | 0.0138528i | 0.0180178 | − | 0.999838i | \(-0.494264\pi\) |
0.166835 | + | 0.985985i | \(0.446645\pi\) | |||||||
\(12\) | 0.702790 | − | 1.02022i | 0.202878 | − | 0.294512i | ||||
\(13\) | −0.250153 | + | 0.0187464i | −0.0693800 | + | 0.00519931i | −0.109375 | − | 0.994001i | \(-0.534885\pi\) |
0.0399949 | + | 0.999200i | \(0.487266\pi\) | |||||||
\(14\) | 2.95511 | + | 3.20532i | 0.789787 | + | 0.856659i | ||||
\(15\) | −0.0326968 | + | 6.79497i | −0.00844229 | + | 1.75445i | ||||
\(16\) | 1.09456 | − | 4.79559i | 0.273641 | − | 1.19890i | ||||
\(17\) | 2.15951 | + | 5.50235i | 0.523759 | + | 1.33452i | 0.910950 | + | 0.412516i | \(0.135350\pi\) |
−0.387191 | + | 0.921999i | \(0.626555\pi\) | |||||||
\(18\) | −0.689700 | − | 4.89506i | −0.162564 | − | 1.15378i | ||||
\(19\) | −4.00625 | + | 2.31301i | −0.919097 | + | 0.530641i | −0.883347 | − | 0.468720i | \(-0.844715\pi\) |
−0.0357503 | + | 0.999361i | \(0.511382\pi\) | |||||||
\(20\) | −1.02516 | − | 2.61206i | −0.229232 | − | 0.584074i | ||||
\(21\) | 4.56687 | + | 0.379029i | 0.996574 | + | 0.0827110i | ||||
\(22\) | −0.370119 | + | 0.943047i | −0.0789096 | + | 0.201058i | ||||
\(23\) | −0.747730 | − | 4.96087i | −0.155913 | − | 1.03441i | −0.920740 | − | 0.390177i | \(-0.872414\pi\) |
0.764827 | − | 0.644235i | \(-0.222824\pi\) | |||||||
\(24\) | −1.81808 | − | 3.18430i | −0.371114 | − | 0.649992i | ||||
\(25\) | 8.58534 | + | 5.85339i | 1.71707 | + | 1.17068i | ||||
\(26\) | 0.151017 | − | 0.384785i | 0.0296168 | − | 0.0754625i | ||||
\(27\) | −4.01533 | − | 3.29805i | −0.772750 | − | 0.634711i | ||||
\(28\) | −1.81008 | + | 0.552011i | −0.342073 | + | 0.104320i | ||||
\(29\) | 4.93871 | − | 1.93830i | 0.917096 | − | 0.359934i | 0.140608 | − | 0.990065i | \(-0.455094\pi\) |
0.776488 | + | 0.630132i | \(0.216999\pi\) | |||||||
\(30\) | −10.0646 | − | 4.90664i | −1.83753 | − | 0.895825i | ||||
\(31\) | − | 1.59878i | − | 0.287150i | −0.989639 | − | 0.143575i | \(-0.954140\pi\) | ||
0.989639 | − | 0.143575i | \(-0.0458599\pi\) | |||||||
\(32\) | 3.02678 | + | 2.41377i | 0.535064 | + | 0.426699i | ||||
\(33\) | 0.384268 | + | 0.993123i | 0.0668924 | + | 0.172881i | ||||
\(34\) | −9.71285 | − | 0.727877i | −1.66574 | − | 0.124830i | ||||
\(35\) | 6.49746 | − | 8.09439i | 1.09827 | − | 1.36820i | ||||
\(36\) | 2.04425 | + | 0.652177i | 0.340708 | + | 0.108696i | ||||
\(37\) | −5.30653 | − | 0.799831i | −0.872388 | − | 0.131491i | −0.302436 | − | 0.953170i | \(-0.597800\pi\) |
−0.569952 | + | 0.821678i | \(0.693038\pi\) | |||||||
\(38\) | −0.569650 | − | 7.60146i | −0.0924095 | − | 1.23312i | ||||
\(39\) | −0.156790 | − | 0.405217i | −0.0251065 | − | 0.0648866i | ||||
\(40\) | −8.28206 | − | 0.620654i | −1.30951 | − | 0.0981341i | ||||
\(41\) | −3.87577 | + | 3.59619i | −0.605293 | + | 0.561630i | −0.922145 | − | 0.386845i | \(-0.873565\pi\) |
0.316852 | + | 0.948475i | \(0.397374\pi\) | |||||||
\(42\) | −3.82782 | + | 6.50908i | −0.590646 | + | 1.00437i | ||||
\(43\) | −4.22389 | − | 3.91920i | −0.644137 | − | 0.597672i | 0.288941 | − | 0.957347i | \(-0.406697\pi\) |
−0.933078 | + | 0.359675i | \(0.882887\pi\) | |||||||
\(44\) | −0.299100 | − | 0.322353i | −0.0450911 | − | 0.0485966i | ||||
\(45\) | −11.2793 | + | 3.36069i | −1.68143 | + | 0.500982i | ||||
\(46\) | 7.89959 | + | 2.43670i | 1.16473 | + | 0.359272i | ||||
\(47\) | 9.83900 | + | 4.73822i | 1.43517 | + | 0.691140i | 0.979950 | − | 0.199241i | \(-0.0638478\pi\) |
0.455216 | + | 0.890381i | \(0.349562\pi\) | |||||||
\(48\) | 8.49896 | − | 0.595798i | 1.22672 | − | 0.0859960i | ||||
\(49\) | −5.10085 | − | 4.79389i | −0.728692 | − | 0.684841i | ||||
\(50\) | −14.8282 | + | 8.56106i | −2.09702 | + | 1.21072i | ||||
\(51\) | −8.03507 | + | 6.34474i | −1.12513 | + | 0.888441i | ||||
\(52\) | 0.122040 | + | 0.131528i | 0.0169239 | + | 0.0182396i | ||||
\(53\) | −1.08470 | − | 7.19649i | −0.148995 | − | 0.988514i | −0.930941 | − | 0.365169i | \(-0.881011\pi\) |
0.781947 | − | 0.623345i | \(-0.214227\pi\) | |||||||
\(54\) | 7.76713 | − | 3.60327i | 1.05697 | − | 0.490343i | ||||
\(55\) | 2.35148 | + | 0.536710i | 0.317074 | + | 0.0723700i | ||||
\(56\) | −0.852482 | + | 5.53582i | −0.113918 | + | 0.739756i | ||||
\(57\) | −5.84729 | − | 5.47809i | −0.774492 | − | 0.725590i | ||||
\(58\) | −0.653317 | + | 8.71791i | −0.0857847 | + | 1.14472i | ||||
\(59\) | 3.23721 | − | 14.1832i | 0.421449 | − | 1.84649i | −0.102488 | − | 0.994734i | \(-0.532680\pi\) |
0.523938 | − | 0.851756i | \(-0.324462\pi\) | |||||||
\(60\) | 3.81438 | − | 3.01195i | 0.492434 | − | 0.388842i | ||||
\(61\) | −1.64613 | − | 1.31275i | −0.210766 | − | 0.168080i | 0.512417 | − | 0.858737i | \(-0.328750\pi\) |
−0.723183 | + | 0.690657i | \(0.757322\pi\) | |||||||
\(62\) | 2.37359 | + | 1.14306i | 0.301446 | + | 0.145169i | ||||
\(63\) | 1.66688 | + | 7.76025i | 0.210007 | + | 0.977700i | ||||
\(64\) | 3.11604 | − | 1.50061i | 0.389506 | − | 0.187576i | ||||
\(65\) | −0.959458 | − | 0.218990i | −0.119006 | − | 0.0271624i | ||||
\(66\) | −1.74914 | − | 0.139547i | −0.215305 | − | 0.0171771i | ||||
\(67\) | 3.83739 | 0.468812 | 0.234406 | − | 0.972139i | \(-0.424685\pi\) | ||||
0.234406 | + | 0.972139i | \(0.424685\pi\) | |||||||
\(68\) | 2.11391 | − | 3.66141i | 0.256350 | − | 0.444011i | ||||
\(69\) | 7.84704 | − | 3.73253i | 0.944673 | − | 0.449344i | ||||
\(70\) | 7.37169 | + | 15.4334i | 0.881086 | + | 1.84464i | ||||
\(71\) | 6.93312 | − | 5.52898i | 0.822810 | − | 0.656169i | −0.118783 | − | 0.992920i | \(-0.537899\pi\) |
0.941594 | + | 0.336751i | \(0.109328\pi\) | |||||||
\(72\) | 4.36440 | − | 4.61384i | 0.514349 | − | 0.543747i | ||||
\(73\) | 0.0678751 | + | 0.00508653i | 0.00794418 | + | 0.000595334i | 0.0787016 | − | 0.996898i | \(-0.474923\pi\) |
−0.0707574 | + | 0.997494i | \(0.522542\pi\) | |||||||
\(74\) | 4.98137 | − | 7.30633i | 0.579073 | − | 0.849344i | ||||
\(75\) | −5.38756 | + | 17.1722i | −0.622101 | + | 1.98288i | ||||
\(76\) | 3.08006 | + | 1.20883i | 0.353307 | + | 0.138663i | ||||
\(77\) | 0.484417 | − | 1.55282i | 0.0552044 | − | 0.176960i | ||||
\(78\) | 0.713690 | + | 0.0569385i | 0.0808095 | + | 0.00644701i | ||||
\(79\) | 3.73682 | 0.420426 | 0.210213 | − | 0.977656i | \(-0.432584\pi\) | ||||
0.210213 | + | 0.977656i | \(0.432584\pi\) | |||||||
\(80\) | 9.64876 | − | 16.7121i | 1.07876 | − | 1.86847i | ||||
\(81\) | 3.44870 | − | 8.31303i | 0.383189 | − | 0.923670i | ||||
\(82\) | −2.56797 | − | 8.32515i | −0.283585 | − | 0.919359i | ||||
\(83\) | −0.734329 | + | 9.79894i | −0.0806031 | + | 1.07557i | 0.799461 | + | 0.600718i | \(0.205119\pi\) |
−0.880064 | + | 0.474855i | \(0.842500\pi\) | |||||||
\(84\) | −1.82466 | − | 2.72286i | −0.199086 | − | 0.297089i | ||||
\(85\) | 1.73294 | + | 23.1245i | 0.187964 | + | 2.50821i | ||||
\(86\) | 8.83840 | − | 3.46882i | 0.953069 | − | 0.374052i | ||||
\(87\) | 5.69481 | + | 7.21199i | 0.610548 | + | 0.773207i | ||||
\(88\) | −1.24372 | + | 0.383638i | −0.132581 | + | 0.0408959i | ||||
\(89\) | −0.415989 | − | 0.283617i | −0.0440948 | − | 0.0300633i | 0.541072 | − | 0.840976i | \(-0.318019\pi\) |
−0.585167 | + | 0.810913i | \(0.698971\pi\) | |||||||
\(90\) | 3.07488 | − | 19.1483i | 0.324121 | − | 2.01841i | ||||
\(91\) | −0.197653 | + | 0.633584i | −0.0207197 | + | 0.0664177i | ||||
\(92\) | −2.44070 | + | 2.63045i | −0.254461 | + | 0.274244i | ||||
\(93\) | 2.65005 | − | 0.803487i | 0.274797 | − | 0.0833177i | ||||
\(94\) | −14.0689 | + | 11.2196i | −1.45109 | + | 1.15721i | ||||
\(95\) | −17.6934 | + | 4.03841i | −1.81531 | + | 0.414332i | ||||
\(96\) | −2.47978 | + | 6.23007i | −0.253092 | + | 0.635853i | ||||
\(97\) | 3.38750 | + | 1.95577i | 0.343948 | + | 0.198579i | 0.662017 | − | 0.749489i | \(-0.269701\pi\) |
−0.318068 | + | 0.948068i | \(0.603034\pi\) | |||||||
\(98\) | 10.7640 | − | 4.14540i | 1.08733 | − | 0.418748i | ||||
\(99\) | −1.45302 | + | 1.13604i | −0.146034 | + | 0.114177i | ||||
\(100\) | −0.555402 | − | 7.41133i | −0.0555402 | − | 0.741133i | ||||
\(101\) | 2.32166 | − | 2.15418i | 0.231013 | − | 0.214349i | −0.556169 | − | 0.831069i | \(-0.687729\pi\) |
0.787183 | + | 0.616720i | \(0.211539\pi\) | |||||||
\(102\) | −3.67481 | − | 16.4652i | −0.363861 | − | 1.63030i | ||||
\(103\) | 2.77884 | − | 9.00878i | 0.273807 | − | 0.887662i | −0.709343 | − | 0.704863i | \(-0.751008\pi\) |
0.983150 | − | 0.182798i | \(-0.0585155\pi\) | |||||||
\(104\) | 0.507467 | − | 0.156533i | 0.0497613 | − | 0.0153493i | ||||
\(105\) | 16.6821 | + | 6.70187i | 1.62801 | + | 0.654035i | ||||
\(106\) | 11.4596 | + | 3.53481i | 1.11305 | + | 0.343331i | ||||
\(107\) | −4.33751 | + | 6.36196i | −0.419323 | + | 0.615034i | −0.976541 | − | 0.215332i | \(-0.930917\pi\) |
0.557218 | + | 0.830367i | \(0.311869\pi\) | |||||||
\(108\) | −0.0536492 | + | 3.71618i | −0.00516240 | + | 0.357590i | ||||
\(109\) | 6.21757 | − | 4.23907i | 0.595536 | − | 0.406029i | −0.227698 | − | 0.973732i | \(-0.573120\pi\) |
0.823234 | + | 0.567702i | \(0.192168\pi\) | |||||||
\(110\) | −2.47801 | + | 3.10733i | −0.236269 | + | 0.296272i | ||||
\(111\) | −1.34110 | − | 9.19774i | −0.127292 | − | 0.873011i | ||||
\(112\) | −10.7294 | − | 7.36549i | −1.01383 | − | 0.695973i | ||||
\(113\) | −11.4427 | + | 16.7833i | −1.07644 | + | 1.57884i | −0.294326 | + | 0.955705i | \(0.595095\pi\) |
−0.782111 | + | 0.623139i | \(0.785857\pi\) | |||||||
\(114\) | 12.3134 | − | 4.76441i | 1.15326 | − | 0.446228i | ||||
\(115\) | 2.93344 | − | 19.4621i | 0.273544 | − | 1.81485i | ||||
\(116\) | −3.28635 | − | 1.89737i | −0.305130 | − | 0.176167i | ||||
\(117\) | 0.592866 | − | 0.463532i | 0.0548105 | − | 0.0428535i | ||||
\(118\) | 18.7421 | + | 14.9464i | 1.72535 | + | 1.37592i | ||||
\(119\) | 15.6388 | + | 0.0499487i | 1.43361 | + | 0.00457879i | ||||
\(120\) | −3.13348 | − | 14.0397i | −0.286046 | − | 1.28165i | ||||
\(121\) | −10.5034 | + | 1.58313i | −0.954852 | + | 0.143921i | ||||
\(122\) | 3.12584 | − | 1.50533i | 0.283000 | − | 0.136286i | ||||
\(123\) | −7.90862 | − | 4.61693i | −0.713097 | − | 0.416294i | ||||
\(124\) | −0.894053 | + | 0.712983i | −0.0802883 | + | 0.0640278i | ||||
\(125\) | 13.1862 | + | 16.5350i | 1.17941 | + | 1.47894i | ||||
\(126\) | −12.7128 | − | 3.07355i | −1.13254 | − | 0.273814i | ||||
\(127\) | −0.499065 | + | 0.625808i | −0.0442849 | + | 0.0555315i | −0.803481 | − | 0.595331i | \(-0.797021\pi\) |
0.759196 | + | 0.650862i | \(0.225592\pi\) | |||||||
\(128\) | 13.4418i | 1.18810i | ||||||||
\(129\) | 4.37346 | − | 8.97089i | 0.385061 | − | 0.789843i | ||||
\(130\) | 1.01109 | − | 1.26786i | 0.0886781 | − | 0.111199i | ||||
\(131\) | 14.0023 | + | 12.9923i | 1.22339 | + | 1.13514i | 0.986528 | + | 0.163595i | \(0.0523091\pi\) |
0.236861 | + | 0.971543i | \(0.423881\pi\) | |||||||
\(132\) | 0.383997 | − | 0.657772i | 0.0334226 | − | 0.0572517i | ||||
\(133\) | 1.78551 | + | 12.1084i | 0.154823 | + | 1.04993i | ||||
\(134\) | −2.74356 | + | 5.69707i | −0.237008 | + | 0.492152i | ||||
\(135\) | −11.2390 | − | 17.0070i | −0.967301 | − | 1.46373i | ||||
\(136\) | −7.04912 | − | 10.3392i | −0.604457 | − | 0.886576i | ||||
\(137\) | 1.72337 | + | 5.58702i | 0.147237 | + | 0.477331i | 0.998907 | − | 0.0467479i | \(-0.0148857\pi\) |
−0.851669 | + | 0.524079i | \(0.824410\pi\) | |||||||
\(138\) | −0.0688993 | + | 14.3185i | −0.00586510 | + | 1.21887i | ||||
\(139\) | −2.93934 | − | 3.16785i | −0.249311 | − | 0.268694i | 0.595980 | − | 0.802999i | \(-0.296764\pi\) |
−0.845291 | + | 0.534306i | \(0.820573\pi\) | |||||||
\(140\) | −7.42401 | − | 0.0237115i | −0.627443 | − | 0.00200399i | ||||
\(141\) | −2.90907 | + | 18.6898i | −0.244988 | + | 1.57396i | ||||
\(142\) | 3.25156 | + | 14.2460i | 0.272865 | + | 1.19550i | ||||
\(143\) | −0.152504 | + | 0.0229863i | −0.0127530 | + | 0.00192221i | ||||
\(144\) | 5.25880 | + | 13.7879i | 0.438234 | + | 1.14899i | ||||
\(145\) | 20.7558 | − | 1.55543i | 1.72367 | − | 0.129171i | ||||
\(146\) | −0.0560792 | + | 0.0971320i | −0.00464115 | + | 0.00803870i | ||||
\(147\) | 5.38257 | − | 10.8641i | 0.443947 | − | 0.896053i | ||||
\(148\) | 1.91919 | + | 3.32414i | 0.157757 | + | 0.273243i | ||||
\(149\) | 4.05655 | + | 5.94986i | 0.332325 | + | 0.487431i | 0.955639 | − | 0.294540i | \(-0.0951665\pi\) |
−0.623314 | + | 0.781972i | \(0.714214\pi\) | |||||||
\(150\) | −21.6423 | − | 20.2758i | −1.76709 | − | 1.65551i | ||||
\(151\) | 6.09980 | − | 15.5420i | 0.496395 | − | 1.26479i | −0.434884 | − | 0.900486i | \(-0.643211\pi\) |
0.931279 | − | 0.364307i | \(-0.118694\pi\) | |||||||
\(152\) | 7.17902 | − | 6.66115i | 0.582295 | − | 0.540291i | ||||
\(153\) | −14.5548 | − | 10.1298i | −1.17668 | − | 0.818947i | ||||
\(154\) | 1.95900 | + | 1.82937i | 0.157861 | + | 0.147415i | ||||
\(155\) | 1.84877 | − | 5.99357i | 0.148497 | − | 0.481415i | ||||
\(156\) | −0.156679 | + | 0.268386i | −0.0125444 | + | 0.0214881i | ||||
\(157\) | 19.4311 | + | 4.43503i | 1.55077 | + | 0.353954i | 0.910274 | − | 0.414006i | \(-0.135871\pi\) |
0.640498 | + | 0.767960i | \(0.278728\pi\) | |||||||
\(158\) | −2.67166 | + | 5.54776i | −0.212546 | + | 0.441356i | ||||
\(159\) | 11.3833 | − | 5.41460i | 0.902757 | − | 0.429406i | ||||
\(160\) | 8.55567 | + | 12.5489i | 0.676385 | + | 0.992075i | ||||
\(161\) | −12.9312 | − | 2.99494i | −1.01912 | − | 0.236034i | ||||
\(162\) | 9.87601 | + | 11.0635i | 0.775933 | + | 0.869227i | ||||
\(163\) | −14.0736 | + | 4.34114i | −1.10233 | + | 0.340024i | −0.791949 | − | 0.610587i | \(-0.790934\pi\) |
−0.310383 | + | 0.950612i | \(0.600457\pi\) | |||||||
\(164\) | 3.73943 | + | 0.563628i | 0.292000 | + | 0.0440119i | ||||
\(165\) | 0.292145 | + | 4.16740i | 0.0227435 | + | 0.324432i | ||||
\(166\) | −14.0227 | − | 8.09600i | −1.08837 | − | 0.628371i | ||||
\(167\) | −22.8311 | − | 3.44123i | −1.76672 | − | 0.266291i | −0.816384 | − | 0.577509i | \(-0.804025\pi\) |
−0.950339 | + | 0.311218i | \(0.899263\pi\) | |||||||
\(168\) | −9.60426 | + | 1.36907i | −0.740985 | + | 0.105626i | ||||
\(169\) | −12.7926 | + | 1.92817i | −0.984044 | + | 0.148321i | ||||
\(170\) | −35.5701 | − | 13.9602i | −2.72810 | − | 1.07070i | ||||
\(171\) | 6.14152 | − | 12.4452i | 0.469654 | − | 0.951706i | ||||
\(172\) | −0.307988 | + | 4.10981i | −0.0234838 | + | 0.313370i | ||||
\(173\) | −12.5258 | − | 15.7069i | −0.952321 | − | 1.19417i | −0.980886 | − | 0.194581i | \(-0.937665\pi\) |
0.0285652 | − | 0.999592i | \(-0.490906\pi\) | |||||||
\(174\) | −14.7786 | + | 3.29838i | −1.12036 | + | 0.250050i | ||||
\(175\) | 22.7640 | − | 15.4140i | 1.72080 | − | 1.16519i | ||||
\(176\) | 0.450730 | − | 2.99040i | 0.0339751 | − | 0.225410i | ||||
\(177\) | 25.1360 | − | 1.76210i | 1.88934 | − | 0.132447i | ||||
\(178\) | 0.718477 | − | 0.414813i | 0.0538521 | − | 0.0310915i | ||||
\(179\) | −16.7822 | + | 6.58652i | −1.25436 | + | 0.492300i | −0.897151 | − | 0.441725i | \(-0.854367\pi\) |
−0.357209 | + | 0.934024i | \(0.616272\pi\) | |||||||
\(180\) | 6.90939 | + | 4.80879i | 0.514995 | + | 0.358426i | ||||
\(181\) | 1.50053 | + | 3.11589i | 0.111534 | + | 0.231602i | 0.949263 | − | 0.314484i | \(-0.101831\pi\) |
−0.837729 | + | 0.546086i | \(0.816117\pi\) | |||||||
\(182\) | −0.799318 | − | 0.746424i | −0.0592494 | − | 0.0553286i | ||||
\(183\) | 1.34865 | − | 3.38827i | 0.0996949 | − | 0.250468i | ||||
\(184\) | 3.88022 | + | 9.88664i | 0.286054 | + | 0.728853i | ||||
\(185\) | −18.9684 | − | 9.13469i | −1.39458 | − | 0.671595i | ||||
\(186\) | −0.701792 | + | 4.50876i | −0.0514579 | + | 0.330599i | ||||
\(187\) | 1.57677 | + | 3.27420i | 0.115305 | + | 0.239433i | ||||
\(188\) | −1.73809 | − | 7.61507i | −0.126763 | − | 0.555386i | ||||
\(189\) | −12.0252 | + | 6.66291i | −0.874705 | + | 0.484655i | ||||
\(190\) | 6.65450 | − | 29.1553i | 0.482768 | − | 2.11515i | ||||
\(191\) | 2.41325 | − | 0.550808i | 0.174616 | − | 0.0398550i | −0.134319 | − | 0.990938i | \(-0.542885\pi\) |
0.308935 | + | 0.951083i | \(0.400027\pi\) | |||||||
\(192\) | 4.05332 | + | 4.41082i | 0.292523 | + | 0.318323i | ||||
\(193\) | −0.882262 | − | 3.86544i | −0.0635066 | − | 0.278241i | 0.933197 | − | 0.359364i | \(-0.117006\pi\) |
−0.996704 | + | 0.0811234i | \(0.974149\pi\) | |||||||
\(194\) | −5.32549 | + | 3.63086i | −0.382348 | + | 0.260680i | ||||
\(195\) | −0.119202 | − | 1.70039i | −0.00853622 | − | 0.121768i | ||||
\(196\) | −0.406042 | + | 4.99028i | −0.0290030 | + | 0.356449i | ||||
\(197\) | 2.82472i | 0.201253i | 0.994924 | + | 0.100626i | \(0.0320847\pi\) | ||||
−0.994924 | + | 0.100626i | \(0.967915\pi\) | |||||||
\(198\) | −0.647746 | − | 2.96940i | −0.0460333 | − | 0.211026i | ||||
\(199\) | 6.57930 | − | 21.3296i | 0.466395 | − | 1.51201i | −0.351245 | − | 0.936284i | \(-0.614242\pi\) |
0.817640 | − | 0.575730i | \(-0.195282\pi\) | |||||||
\(200\) | −20.4770 | − | 8.03661i | −1.44794 | − | 0.568274i | ||||
\(201\) | 1.92852 | + | 6.36063i | 0.136028 | + | 0.448644i | ||||
\(202\) | 1.53826 | + | 4.98692i | 0.108232 | + | 0.350878i | ||||
\(203\) | 0.0448322 | − | 14.0369i | 0.00314660 | − | 0.985194i | ||||
\(204\) | 7.13129 | + | 1.66381i | 0.499290 | + | 0.116490i | ||||
\(205\) | −18.6881 | + | 8.99970i | −1.30523 | + | 0.628566i | ||||
\(206\) | 11.3879 | + | 10.5664i | 0.793430 | + | 0.736195i | ||||
\(207\) | 10.1304 | + | 11.1310i | 0.704113 | + | 0.773655i | ||||
\(208\) | −0.183908 | + | 1.22015i | −0.0127517 | + | 0.0846022i | ||||
\(209\) | −2.34991 | + | 1.60214i | −0.162546 | + | 0.110822i | ||||
\(210\) | −21.8767 | + | 19.9751i | −1.50963 | + | 1.37841i | ||||
\(211\) | −7.25756 | − | 4.94812i | −0.499631 | − | 0.340643i | 0.287139 | − | 0.957889i | \(-0.407296\pi\) |
−0.786770 | + | 0.617246i | \(0.788248\pi\) | |||||||
\(212\) | −3.54061 | + | 3.81587i | −0.243170 | + | 0.262075i | ||||
\(213\) | 12.6488 | + | 8.71327i | 0.866682 | + | 0.597023i | ||||
\(214\) | −6.34397 | − | 10.9881i | −0.433665 | − | 0.751129i | ||||
\(215\) | −11.3026 | − | 19.5767i | −0.770833 | − | 1.33512i | ||||
\(216\) | 9.84100 | + | 4.91542i | 0.669595 | + | 0.334452i | ||||
\(217\) | −3.93263 | − | 1.55796i | −0.266964 | − | 0.105761i | ||||
\(218\) | 1.84812 | + | 12.2615i | 0.125170 | + | 0.830452i | ||||
\(219\) | 0.0256802 | + | 0.115062i | 0.00173531 | + | 0.00777516i | ||||
\(220\) | −0.748519 | − | 1.55431i | −0.0504651 | − | 0.104792i | ||||
\(221\) | −0.643358 | − | 1.33595i | −0.0432769 | − | 0.0898655i | ||||
\(222\) | 14.6140 | + | 4.58494i | 0.980825 | + | 0.307721i | ||||
\(223\) | 1.99483 | + | 13.2349i | 0.133584 | + | 0.886272i | 0.950770 | + | 0.309898i | \(0.100295\pi\) |
−0.817186 | + | 0.576374i | \(0.804467\pi\) | |||||||
\(224\) | 8.88679 | − | 5.09301i | 0.593773 | − | 0.340291i | ||||
\(225\) | −31.1712 | − | 0.299994i | −2.07808 | − | 0.0199996i | ||||
\(226\) | −16.7359 | − | 28.9874i | −1.11325 | − | 1.92821i | ||||
\(227\) | 13.7723 | + | 23.8543i | 0.914098 | + | 1.58326i | 0.808217 | + | 0.588885i | \(0.200433\pi\) |
0.105881 | + | 0.994379i | \(0.466234\pi\) | |||||||
\(228\) | −0.455771 | + | 5.71282i | −0.0301842 | + | 0.378341i | ||||
\(229\) | 12.4139 | − | 13.3790i | 0.820335 | − | 0.884111i | −0.174599 | − | 0.984640i | \(-0.555863\pi\) |
0.994934 | + | 0.100529i | \(0.0320534\pi\) | |||||||
\(230\) | 26.7965 | + | 18.2695i | 1.76691 | + | 1.20466i | ||||
\(231\) | 2.81730 | + | 0.0225551i | 0.185365 | + | 0.00148402i | ||||
\(232\) | −9.28007 | + | 6.32704i | −0.609266 | + | 0.415391i | ||||
\(233\) | −4.41036 | + | 29.2608i | −0.288932 | + | 1.91694i | 0.0986843 | + | 0.995119i | \(0.468537\pi\) |
−0.387616 | + | 0.921821i | \(0.626701\pi\) | |||||||
\(234\) | 0.264295 | + | 1.21158i | 0.0172775 | + | 0.0792037i | ||||
\(235\) | 31.4056 | + | 29.1402i | 2.04868 | + | 1.90090i | ||||
\(236\) | −9.37498 | + | 4.51475i | −0.610259 | + | 0.293885i | ||||
\(237\) | 1.87798 | + | 6.19393i | 0.121988 | + | 0.402339i | ||||
\(238\) | −11.2552 | + | 23.1820i | −0.729567 | + | 1.50267i | ||||
\(239\) | −2.33509 | − | 7.57018i | −0.151044 | − | 0.489674i | 0.848152 | − | 0.529753i | \(-0.177715\pi\) |
−0.999197 | + | 0.0400788i | \(0.987239\pi\) | |||||||
\(240\) | 32.5501 | + | 7.59432i | 2.10110 | + | 0.490211i | ||||
\(241\) | −6.39913 | − | 2.51147i | −0.412204 | − | 0.161778i | 0.150172 | − | 0.988660i | \(-0.452017\pi\) |
−0.562376 | + | 0.826882i | \(0.690113\pi\) | |||||||
\(242\) | 5.15910 | − | 16.7254i | 0.331639 | − | 1.07515i | ||||
\(243\) | 15.5123 | + | 1.53855i | 0.995117 | + | 0.0986983i | ||||
\(244\) | 1.50596i | 0.0964089i | ||||||||
\(245\) | −13.5787 | − | 23.8699i | −0.867513 | − | 1.52499i | ||||
\(246\) | 12.5087 | − | 8.44040i | 0.797525 | − | 0.538140i | ||||
\(247\) | 0.958815 | − | 0.653709i | 0.0610080 | − | 0.0415945i | ||||
\(248\) | 0.753153 | + | 3.29978i | 0.0478253 | + | 0.209536i | ||||
\(249\) | −16.6112 | + | 3.70739i | −1.05269 | + | 0.234946i | ||||
\(250\) | −33.9757 | + | 7.75474i | −2.14881 | + | 0.490453i | ||||
\(251\) | 2.96660 | − | 12.9975i | 0.187250 | − | 0.820396i | −0.790808 | − | 0.612064i | \(-0.790339\pi\) |
0.978058 | − | 0.208332i | \(-0.0668035\pi\) | |||||||
\(252\) | 3.59625 | − | 4.39284i | 0.226542 | − | 0.276723i | ||||
\(253\) | −0.686347 | − | 3.00708i | −0.0431503 | − | 0.189054i | ||||
\(254\) | −0.572277 | − | 1.18835i | −0.0359079 | − | 0.0745635i | ||||
\(255\) | −37.4589 | + | 14.4939i | −2.34577 | + | 0.907644i | ||||
\(256\) | −13.7238 | − | 6.60906i | −0.857740 | − | 0.413066i | ||||
\(257\) | 2.64154 | + | 6.73054i | 0.164775 | + | 0.419840i | 0.989283 | − | 0.146010i | \(-0.0466433\pi\) |
−0.824508 | + | 0.565850i | \(0.808548\pi\) | |||||||
\(258\) | 10.1915 | + | 12.9067i | 0.634497 | + | 0.803536i | ||||
\(259\) | −7.13841 | + | 12.2734i | −0.443559 | + | 0.762631i | ||||
\(260\) | 0.305413 | + | 0.634196i | 0.0189409 | + | 0.0393312i | ||||
\(261\) | −9.09216 | + | 13.0638i | −0.562790 | + | 0.808631i | ||||
\(262\) | −29.2996 | + | 11.4992i | −1.81013 | + | 0.710425i | ||||
\(263\) | −4.85452 | + | 2.80276i | −0.299342 | + | 0.172825i | −0.642147 | − | 0.766581i | \(-0.721956\pi\) |
0.342805 | + | 0.939407i | \(0.388623\pi\) | |||||||
\(264\) | −1.26094 | − | 1.86872i | −0.0776056 | − | 0.115012i | ||||
\(265\) | 4.25540 | − | 28.2327i | 0.261407 | − | 1.73432i | ||||
\(266\) | −19.2529 | − | 6.00613i | −1.18047 | − | 0.368259i | ||||
\(267\) | 0.261046 | − | 0.832053i | 0.0159757 | − | 0.0509208i | ||||
\(268\) | −1.71130 | − | 2.14590i | −0.104534 | − | 0.131082i | ||||
\(269\) | 0.156647 | − | 2.09030i | 0.00955091 | − | 0.127448i | −0.990390 | − | 0.138301i | \(-0.955836\pi\) |
0.999941 | + | 0.0108533i | \(0.00345480\pi\) | |||||||
\(270\) | 33.2843 | − | 4.52644i | 2.02562 | − | 0.275470i | ||||
\(271\) | −24.9916 | − | 9.80848i | −1.51813 | − | 0.595823i | −0.547588 | − | 0.836748i | \(-0.684454\pi\) |
−0.970544 | + | 0.240926i | \(0.922549\pi\) | |||||||
\(272\) | 28.7507 | − | 4.33348i | 1.74327 | − | 0.262756i | ||||
\(273\) | −1.14952 | − | 0.00920300i | −0.0695723 | − | 0.000556991i | ||||
\(274\) | −9.52673 | − | 1.43592i | −0.575531 | − | 0.0867473i | ||||
\(275\) | 5.53248 | + | 3.19418i | 0.333621 | + | 0.192616i | ||||
\(276\) | −5.58668 | − | 2.72360i | −0.336278 | − | 0.163941i | ||||
\(277\) | 16.9857 | + | 2.56018i | 1.02057 | + | 0.153826i | 0.637948 | − | 0.770079i | \(-0.279783\pi\) |
0.382621 | + | 0.923905i | \(0.375021\pi\) | |||||||
\(278\) | 6.80454 | − | 2.09892i | 0.408109 | − | 0.125885i | ||||
\(279\) | 2.66362 | + | 3.98875i | 0.159467 | + | 0.238800i | ||||
\(280\) | −9.59722 | + | 19.7671i | −0.573543 | + | 1.18131i | ||||
\(281\) | −4.03198 | − | 5.91383i | −0.240528 | − | 0.352790i | 0.686926 | − | 0.726728i | \(-0.258960\pi\) |
−0.927454 | + | 0.373938i | \(0.878007\pi\) | |||||||
\(282\) | −25.6673 | − | 17.6812i | −1.52847 | − | 1.05290i | ||||
\(283\) | −0.425868 | + | 0.884324i | −0.0253152 | + | 0.0525676i | −0.913243 | − | 0.407415i | \(-0.866430\pi\) |
0.887928 | + | 0.459983i | \(0.152144\pi\) | |||||||
\(284\) | −6.18370 | − | 1.41139i | −0.366935 | − | 0.0837505i | ||||
\(285\) | −15.5858 | − | 27.2980i | −0.923225 | − | 1.61699i | ||||
\(286\) | 0.0749076 | − | 0.242844i | 0.00442938 | − | 0.0143597i | ||||
\(287\) | 5.06897 | + | 13.0378i | 0.299212 | + | 0.769597i | ||||
\(288\) | −11.5728 | − | 0.979346i | −0.681934 | − | 0.0577085i | ||||
\(289\) | −13.1505 | + | 12.2019i | −0.773557 | + | 0.717756i | ||||
\(290\) | −12.5302 | + | 31.9265i | −0.735799 | + | 1.87479i | ||||
\(291\) | −1.53934 | + | 6.59781i | −0.0902380 | + | 0.386770i | ||||
\(292\) | −0.0274247 | − | 0.0402246i | −0.00160491 | − | 0.00235397i | ||||
\(293\) | −9.52410 | − | 16.4962i | −0.556404 | − | 0.963719i | −0.997793 | − | 0.0664036i | \(-0.978848\pi\) |
0.441389 | − | 0.897316i | \(-0.354486\pi\) | |||||||
\(294\) | 12.2807 | + | 15.7584i | 0.716225 | + | 0.919047i | ||||
\(295\) | 28.5366 | − | 49.4268i | 1.66147 | − | 2.87774i | ||||
\(296\) | 11.3291 | − | 0.848998i | 0.658490 | − | 0.0493470i | ||||
\(297\) | −2.61327 | − | 1.83751i | −0.151637 | − | 0.106623i | ||||
\(298\) | −11.7335 | + | 1.76854i | −0.679705 | + | 0.102449i | ||||
\(299\) | 0.280045 | + | 1.22696i | 0.0161954 | + | 0.0709568i | ||||
\(300\) | 12.0054 | − | 4.64525i | 0.693134 | − | 0.268193i | ||||
\(301\) | −13.7563 | + | 6.57065i | −0.792900 | + | 0.378726i | ||||
\(302\) | 18.7129 | + | 20.1677i | 1.07681 | + | 1.16052i | ||||
\(303\) | 4.73741 | + | 2.76562i | 0.272157 | + | 0.158881i | ||||
\(304\) | 6.70716 | + | 21.7441i | 0.384682 | + | 1.24711i | ||||
\(305\) | −4.65306 | − | 6.82479i | −0.266434 | − | 0.390786i | ||||
\(306\) | 25.4449 | − | 14.3659i | 1.45459 | − | 0.821245i | ||||
\(307\) | −5.17475 | + | 10.7455i | −0.295339 | + | 0.613277i | −0.994852 | − | 0.101343i | \(-0.967686\pi\) |
0.699513 | + | 0.714620i | \(0.253400\pi\) | |||||||
\(308\) | −1.08437 | + | 0.421594i | −0.0617880 | + | 0.0240225i | ||||
\(309\) | 16.3289 | + | 0.0785736i | 0.928921 | + | 0.00446989i | ||||
\(310\) | 7.57638 | + | 7.02985i | 0.430309 | + | 0.399269i | ||||
\(311\) | −2.85604 | + | 3.58136i | −0.161951 | + | 0.203080i | −0.856185 | − | 0.516669i | \(-0.827172\pi\) |
0.694234 | + | 0.719749i | \(0.255743\pi\) | |||||||
\(312\) | 0.514493 | + | 0.762479i | 0.0291274 | + | 0.0431669i | ||||
\(313\) | − | 20.2358i | − | 1.14380i | −0.820324 | − | 0.571898i | \(-0.806207\pi\) | ||
0.820324 | − | 0.571898i | \(-0.193793\pi\) | |||||||
\(314\) | −20.4767 | + | 25.6770i | −1.15557 | + | 1.44903i | ||||
\(315\) | −2.72481 | + | 31.0194i | −0.153526 | + | 1.74774i | ||||
\(316\) | −1.66645 | − | 2.08966i | −0.0937451 | − | 0.117553i | ||||
\(317\) | −0.694802 | + | 0.554086i | −0.0390239 | + | 0.0311206i | −0.642808 | − | 0.766028i | \(-0.722231\pi\) |
0.603784 | + | 0.797148i | \(0.293659\pi\) | |||||||
\(318\) | −0.0999490 | + | 20.7711i | −0.00560486 | + | 1.16479i | ||||
\(319\) | 2.93880 | − | 1.41525i | 0.164541 | − | 0.0792389i | ||||
\(320\) | 13.4168 | − | 2.02225i | 0.750020 | − | 0.113047i | ||||
\(321\) | −12.7251 | − | 3.99232i | −0.710244 | − | 0.222830i | ||||
\(322\) | 13.6916 | − | 17.0566i | 0.763000 | − | 0.950529i | ||||
\(323\) | −21.3785 | − | 17.0488i | −1.18953 | − | 0.948622i | ||||
\(324\) | −6.18667 | + | 1.77868i | −0.343704 | + | 0.0988156i | ||||
\(325\) | −2.25738 | − | 1.30330i | −0.125217 | − | 0.0722940i | ||||
\(326\) | 3.61707 | − | 23.9977i | 0.200331 | − | 1.32911i | ||||
\(327\) | 10.1511 | + | 8.17548i | 0.561359 | + | 0.452105i | ||||
\(328\) | 6.30523 | − | 9.24807i | 0.348148 | − | 0.510639i | ||||
\(329\) | 21.2426 | − | 19.5844i | 1.17114 | − | 1.07972i | ||||
\(330\) | −6.39587 | − | 2.54578i | −0.352081 | − | 0.140141i | ||||
\(331\) | 12.2629 | − | 15.3772i | 0.674030 | − | 0.845206i | −0.320760 | − | 0.947161i | \(-0.603938\pi\) |
0.994789 | + | 0.101954i | \(0.0325096\pi\) | |||||||
\(332\) | 5.80712 | − | 3.95923i | 0.318707 | − | 0.217291i | ||||
\(333\) | 14.5716 | − | 6.84536i | 0.798520 | − | 0.375123i | ||||
\(334\) | 21.4321 | − | 31.4351i | 1.17271 | − | 1.72005i | ||||
\(335\) | 14.3857 | + | 4.43741i | 0.785976 | + | 0.242442i | ||||
\(336\) | 6.81640 | − | 21.4860i | 0.371865 | − | 1.17216i | ||||
\(337\) | 13.9582 | − | 4.30552i | 0.760350 | − | 0.234537i | 0.109752 | − | 0.993959i | \(-0.464994\pi\) |
0.650598 | + | 0.759422i | \(0.274518\pi\) | |||||||
\(338\) | 6.28351 | − | 20.3707i | 0.341778 | − | 1.10802i | ||||
\(339\) | −33.5697 | − | 10.5320i | −1.82325 | − | 0.572022i | ||||
\(340\) | 12.1586 | − | 11.2815i | 0.659393 | − | 0.611827i | ||||
\(341\) | −0.0734553 | − | 0.980192i | −0.00397783 | − | 0.0530804i | ||||
\(342\) | 14.0854 | + | 18.0156i | 0.761653 | + | 0.974169i | ||||
\(343\) | −16.7624 | + | 7.87539i | −0.905085 | + | 0.425231i | ||||
\(344\) | 10.5641 | + | 6.09916i | 0.569576 | + | 0.328845i | ||||
\(345\) | 33.7334 | − | 4.91860i | 1.81614 | − | 0.264808i | ||||
\(346\) | 32.2742 | − | 7.36637i | 1.73507 | − | 0.396018i | ||||
\(347\) | 0.656671 | − | 0.523678i | 0.0352520 | − | 0.0281125i | −0.605705 | − | 0.795689i | \(-0.707109\pi\) |
0.640957 | + | 0.767577i | \(0.278538\pi\) | |||||||
\(348\) | 1.49338 | − | 6.40080i | 0.0800536 | − | 0.343119i | ||||
\(349\) | −20.9990 | + | 22.6316i | −1.12405 | + | 1.21144i | −0.149149 | + | 0.988815i | \(0.547653\pi\) |
−0.974904 | + | 0.222626i | \(0.928537\pi\) | |||||||
\(350\) | 6.60864 | + | 44.8162i | 0.353247 | + | 2.39553i | ||||
\(351\) | 1.06627 | + | 0.749745i | 0.0569134 | + | 0.0400184i | ||||
\(352\) | 1.96657 | + | 1.34079i | 0.104819 | + | 0.0714642i | ||||
\(353\) | 18.9216 | − | 5.83653i | 1.00709 | − | 0.310647i | 0.253037 | − | 0.967457i | \(-0.418571\pi\) |
0.754057 | + | 0.656809i | \(0.228094\pi\) | |||||||
\(354\) | −15.3551 | + | 38.5772i | −0.816113 | + | 2.05036i | ||||
\(355\) | 32.3846 | − | 12.7100i | 1.71879 | − | 0.674577i | ||||
\(356\) | 0.0269112 | + | 0.359104i | 0.00142629 | + | 0.0190325i | ||||
\(357\) | 7.77667 | + | 25.9471i | 0.411585 | + | 1.37326i | ||||
\(358\) | 2.22003 | − | 29.6242i | 0.117332 | − | 1.56569i | ||||
\(359\) | −8.89554 | − | 28.8386i | −0.469489 | − | 1.52205i | −0.812641 | − | 0.582765i | \(-0.801971\pi\) |
0.343152 | − | 0.939280i | \(-0.388505\pi\) | |||||||
\(360\) | 21.6966 | − | 12.2497i | 1.14351 | − | 0.645615i | ||||
\(361\) | 1.20004 | − | 2.07852i | 0.0631598 | − | 0.109396i | ||||
\(362\) | −5.69872 | −0.299518 | ||||||||
\(363\) | −7.90268 | − | 16.6141i | −0.414783 | − | 0.872015i | ||||
\(364\) | 0.442449 | − | 0.172020i | 0.0231906 | − | 0.00901629i | ||||
\(365\) | 0.248570 | + | 0.0975566i | 0.0130108 | + | 0.00510634i | ||||
\(366\) | 4.06606 | + | 4.42468i | 0.212536 | + | 0.231282i | ||||
\(367\) | −1.84186 | + | 2.70151i | −0.0961441 | + | 0.141018i | −0.871297 | − | 0.490756i | \(-0.836721\pi\) |
0.775153 | + | 0.631774i | \(0.217673\pi\) | |||||||
\(368\) | −24.6087 | − | 1.84417i | −1.28282 | − | 0.0961340i | ||||
\(369\) | 3.67817 | − | 15.4291i | 0.191478 | − | 0.803209i | ||||
\(370\) | 27.1231 | − | 21.6299i | 1.41006 | − | 1.12449i | ||||
\(371\) | −18.7586 | − | 4.34462i | −0.973900 | − | 0.225561i | ||||
\(372\) | −1.63111 | − | 1.12361i | −0.0845693 | − | 0.0582564i | ||||
\(373\) | −7.18580 | + | 12.4462i | −0.372067 | + | 0.644439i | −0.989883 | − | 0.141884i | \(-0.954684\pi\) |
0.617816 | + | 0.786322i | \(0.288017\pi\) | |||||||
\(374\) | −5.98825 | −0.309645 | ||||||||
\(375\) | −20.7805 | + | 30.1665i | −1.07310 | + | 1.55779i | ||||
\(376\) | −22.5391 | − | 5.14440i | −1.16237 | − | 0.265302i | ||||
\(377\) | −1.19910 | + | 0.577455i | −0.0617567 | + | 0.0297404i | ||||
\(378\) | −1.29440 | − | 22.6165i | −0.0665770 | − | 1.16327i | ||||
\(379\) | −1.56199 | − | 0.752216i | −0.0802342 | − | 0.0386387i | 0.393336 | − | 0.919395i | \(-0.371321\pi\) |
−0.473571 | + | 0.880756i | \(0.657035\pi\) | |||||||
\(380\) | 10.1487 | + | 8.09336i | 0.520620 | + | 0.415181i | ||||
\(381\) | −1.28811 | − | 0.512713i | −0.0659919 | − | 0.0262671i | ||||
\(382\) | −0.907622 | + | 3.97655i | −0.0464380 | + | 0.203458i | ||||
\(383\) | 0.752265 | − | 10.0383i | 0.0384390 | − | 0.512932i | −0.944440 | − | 0.328683i | \(-0.893395\pi\) |
0.982879 | − | 0.184250i | \(-0.0589856\pi\) | |||||||
\(384\) | −22.2803 | + | 6.75532i | −1.13699 | + | 0.344731i | ||||
\(385\) | 3.61161 | − | 5.26108i | 0.184065 | − | 0.268129i | ||||
\(386\) | 6.36949 | + | 1.45379i | 0.324198 | + | 0.0739962i | ||||
\(387\) | 17.0675 | + | 2.74075i | 0.867591 | + | 0.139320i | ||||
\(388\) | −0.416983 | − | 2.76650i | −0.0211691 | − | 0.140448i | ||||
\(389\) | 22.2159 | + | 23.9431i | 1.12639 | + | 1.21396i | 0.974218 | + | 0.225608i | \(0.0724369\pi\) |
0.152174 | + | 0.988354i | \(0.451373\pi\) | |||||||
\(390\) | 2.60966 | + | 1.03874i | 0.132145 | + | 0.0525984i | ||||
\(391\) | 25.6817 | − | 14.8273i | 1.29878 | − | 0.749850i | ||||
\(392\) | 12.7861 | + | 7.49136i | 0.645795 | + | 0.378371i | ||||
\(393\) | −14.4981 | + | 29.7388i | −0.731335 | + | 1.50012i | ||||
\(394\) | −4.19363 | − | 2.01955i | −0.211272 | − | 0.101743i | ||||
\(395\) | 14.0087 | + | 4.32111i | 0.704855 | + | 0.217419i | ||||
\(396\) | 1.28326 | + | 0.305919i | 0.0644865 | + | 0.0153730i | ||||
\(397\) | 14.5476 | + | 15.6786i | 0.730125 | + | 0.786888i | 0.983583 | − | 0.180459i | \(-0.0577582\pi\) |
−0.253457 | + | 0.967347i | \(0.581568\pi\) | |||||||
\(398\) | 26.9624 | + | 25.0174i | 1.35150 | + | 1.25401i | ||||
\(399\) | −19.1727 | + | 9.04474i | −0.959838 | + | 0.452803i | ||||
\(400\) | 37.4677 | − | 34.7649i | 1.87338 | − | 1.73825i | ||||
\(401\) | −27.9074 | − | 2.09137i | −1.39363 | − | 0.104438i | −0.643357 | − | 0.765566i | \(-0.722459\pi\) |
−0.750273 | + | 0.661128i | \(0.770078\pi\) | |||||||
\(402\) | −10.8219 | − | 1.68444i | −0.539748 | − | 0.0840121i | ||||
\(403\) | 0.0299714 | + | 0.399941i | 0.00149298 | + | 0.0199225i | ||||
\(404\) | −2.23998 | − | 0.337623i | −0.111443 | − | 0.0167974i | ||||
\(405\) | 22.5414 | − | 27.1762i | 1.12009 | − | 1.35039i | ||||
\(406\) | 20.8073 | + | 10.1023i | 1.03265 | + | 0.501368i | ||||
\(407\) | −3.29011 | − | 0.246559i | −0.163085 | − | 0.0122215i | ||||
\(408\) | 13.5949 | − | 16.8803i | 0.673050 | − | 0.835697i | ||||
\(409\) | 0.770467 | + | 0.614427i | 0.0380971 | + | 0.0303815i | 0.642353 | − | 0.766409i | \(-0.277958\pi\) |
−0.604256 | + | 0.796790i | \(0.706530\pi\) | |||||||
\(410\) | − | 34.1790i | − | 1.68798i | ||||||
\(411\) | −8.39460 | + | 5.66437i | −0.414075 | + | 0.279403i | ||||
\(412\) | −6.27702 | + | 2.46355i | −0.309246 | + | 0.121370i | ||||
\(413\) | −31.7326 | − | 21.7837i | −1.56146 | − | 1.07191i | ||||
\(414\) | −23.7680 | + | 7.08170i | −1.16813 | + | 0.348046i | ||||
\(415\) | −14.0840 | + | 35.8854i | −0.691355 | + | 1.76154i | ||||
\(416\) | −0.802407 | − | 0.547072i | −0.0393412 | − | 0.0268224i | ||||
\(417\) | 3.77364 | − | 6.46410i | 0.184796 | − | 0.316548i | ||||
\(418\) | −0.698489 | − | 4.63417i | −0.0341642 | − | 0.226665i | ||||
\(419\) | −5.31137 | + | 13.5332i | −0.259477 | + | 0.661138i | −0.999940 | − | 0.0109599i | \(-0.996511\pi\) |
0.740462 | + | 0.672098i | \(0.234607\pi\) | |||||||
\(420\) | −3.69171 | − | 12.3175i | −0.180137 | − | 0.601032i | ||||
\(421\) | −6.97887 | − | 17.7819i | −0.340129 | − | 0.866635i | −0.993935 | − | 0.109972i | \(-0.964924\pi\) |
0.653806 | − | 0.756663i | \(-0.273171\pi\) | |||||||
\(422\) | 12.5349 | − | 7.23703i | 0.610190 | − | 0.352293i | ||||
\(423\) | −32.4410 | + | 4.57085i | −1.57733 | + | 0.222242i | ||||
\(424\) | 5.62885 | + | 14.3421i | 0.273361 | + | 0.696513i | ||||
\(425\) | −13.6672 | + | 59.8800i | −0.662958 | + | 2.90461i | ||||
\(426\) | −21.9792 | + | 12.5491i | −1.06490 | + | 0.608005i | ||||
\(427\) | −4.83314 | + | 2.76987i | −0.233892 | + | 0.134044i | ||||
\(428\) | 5.49199 | − | 0.411568i | 0.265465 | − | 0.0198939i | ||||
\(429\) | −0.114743 | − | 0.241229i | −0.00553985 | − | 0.0116467i | ||||
\(430\) | 37.1448 | − | 2.78362i | 1.79128 | − | 0.134238i | ||||
\(431\) | 0.259687 | − | 0.279876i | 0.0125087 | − | 0.0134811i | −0.726767 | − | 0.686885i | \(-0.758978\pi\) |
0.739275 | + | 0.673403i | \(0.235168\pi\) | |||||||
\(432\) | −20.2111 | + | 15.6459i | −0.972409 | + | 0.752766i | ||||
\(433\) | −30.2323 | + | 6.90032i | −1.45287 | + | 0.331608i | −0.874842 | − | 0.484409i | \(-0.839035\pi\) |
−0.578028 | + | 0.816017i | \(0.696178\pi\) | |||||||
\(434\) | 5.12462 | − | 4.72458i | 0.245990 | − | 0.226787i | ||||
\(435\) | 13.0092 | + | 33.6218i | 0.623744 | + | 1.61204i | ||||
\(436\) | −5.14327 | − | 1.58649i | −0.246318 | − | 0.0759790i | ||||
\(437\) | 14.4701 | + | 18.1450i | 0.692200 | + | 0.867992i | ||||
\(438\) | −0.189183 | − | 0.0441386i | −0.00903952 | − | 0.00210903i | ||||
\(439\) | 0.217748 | − | 0.452158i | 0.0103925 | − | 0.0215803i | −0.895708 | − | 0.444643i | \(-0.853331\pi\) |
0.906101 | + | 0.423062i | \(0.139045\pi\) | |||||||
\(440\) | −5.10613 | −0.243425 | ||||||||
\(441\) | 20.7127 | + | 3.46196i | 0.986318 | + | 0.164855i | ||||
\(442\) | 2.44334 | 0.116218 | ||||||||
\(443\) | 10.4891 | − | 21.7809i | 0.498354 | − | 1.03484i | −0.488400 | − | 0.872620i | \(-0.662419\pi\) |
0.986754 | − | 0.162223i | \(-0.0518665\pi\) | |||||||
\(444\) | −4.54538 | + | 4.85172i | −0.215714 | + | 0.230252i | ||||
\(445\) | −1.23151 | − | 1.54426i | −0.0583792 | − | 0.0732051i | ||||
\(446\) | −21.0749 | − | 6.50076i | −0.997927 | − | 0.307820i | ||||
\(447\) | −7.82346 | + | 9.71405i | −0.370037 | + | 0.459459i | ||||
\(448\) | −0.654668 | − | 9.12701i | −0.0309301 | − | 0.431211i | ||||
\(449\) | 11.8284 | − | 2.69977i | 0.558219 | − | 0.127410i | 0.0659025 | − | 0.997826i | \(-0.479007\pi\) |
0.492317 | + | 0.870416i | \(0.336150\pi\) | |||||||
\(450\) | 22.7314 | − | 46.0628i | 1.07157 | − | 2.17142i | ||||
\(451\) | −2.21095 | + | 2.38284i | −0.104110 | + | 0.112204i | ||||
\(452\) | 14.4883 | − | 1.08575i | 0.681471 | − | 0.0510692i | ||||
\(453\) | 28.8271 | + | 2.29983i | 1.35441 | + | 0.108056i | ||||
\(454\) | −45.2611 | + | 3.39185i | −2.12421 | + | 0.159187i | ||||
\(455\) | −1.47362 | + | 2.14664i | −0.0690843 | + | 0.100636i | ||||
\(456\) | 14.6490 | + | 8.55186i | 0.686003 | + | 0.400477i | ||||
\(457\) | 4.19721 | − | 18.3892i | 0.196337 | − | 0.860209i | −0.776757 | − | 0.629801i | \(-0.783137\pi\) |
0.973094 | − | 0.230409i | \(-0.0740063\pi\) | |||||||
\(458\) | 10.9874 | + | 27.9953i | 0.513406 | + | 1.30814i | ||||
\(459\) | 9.47589 | − | 29.2159i | 0.442297 | − | 1.36368i | ||||
\(460\) | −12.1915 | + | 7.03878i | −0.568433 | + | 0.328185i | ||||
\(461\) | 10.5338 | + | 26.8396i | 0.490607 | + | 1.25005i | 0.935138 | + | 0.354283i | \(0.115275\pi\) |
−0.444531 | + | 0.895763i | \(0.646630\pi\) | |||||||
\(462\) | −2.04773 | + | 4.16649i | −0.0952689 | + | 0.193843i | ||||
\(463\) | −6.81383 | + | 17.3614i | −0.316666 | + | 0.806851i | 0.680580 | + | 0.732674i | \(0.261728\pi\) |
−0.997245 | + | 0.0741766i | \(0.976367\pi\) | |||||||
\(464\) | −3.88958 | − | 25.8056i | −0.180569 | − | 1.19800i | ||||
\(465\) | 10.8637 | + | 0.0522752i | 0.503791 | + | 0.00242420i | ||||
\(466\) | −40.2879 | − | 27.4679i | −1.86630 | − | 1.27242i | ||||
\(467\) | 2.74679 | − | 6.99871i | 0.127106 | − | 0.323862i | −0.853128 | − | 0.521702i | \(-0.825297\pi\) |
0.980234 | + | 0.197840i | \(0.0633926\pi\) | |||||||
\(468\) | −0.523601 | − | 0.124822i | −0.0242035 | − | 0.00576989i | ||||
\(469\) | 3.73940 | − | 9.43907i | 0.172669 | − | 0.435856i | ||||
\(470\) | −65.7157 | + | 25.7915i | −3.03124 | + | 1.18967i | ||||
\(471\) | 2.41410 | + | 34.4367i | 0.111236 | + | 1.58676i | ||||
\(472\) | 30.7980i | 1.41760i | ||||||||
\(473\) | −2.76967 | − | 2.20874i | −0.127350 | − | 0.101558i | ||||
\(474\) | −10.5383 | − | 1.64029i | −0.484040 | − | 0.0753411i | ||||
\(475\) | −47.9340 | − | 3.59216i | −2.19936 | − | 0.164819i | ||||
\(476\) | −6.94626 | − | 8.76763i | −0.318381 | − | 0.401864i | ||||
\(477\) | 14.6957 | + | 16.1471i | 0.672871 | + | 0.739327i | ||||
\(478\) | 12.9083 | + | 1.94562i | 0.590412 | + | 0.0889904i | ||||
\(479\) | −2.28204 | − | 30.4517i | −0.104269 | − | 1.39138i | −0.766581 | − | 0.642148i | \(-0.778044\pi\) |
0.662312 | − | 0.749228i | \(-0.269575\pi\) | |||||||
\(480\) | −16.5005 | + | 20.4879i | −0.753140 | + | 0.935141i | ||||
\(481\) | 1.34244 | + | 0.100602i | 0.0612099 | + | 0.00458705i | ||||
\(482\) | 8.30367 | − | 7.70468i | 0.378222 | − | 0.350939i | ||||
\(483\) | −1.53448 | − | 22.9391i | −0.0698211 | − | 1.04376i | ||||
\(484\) | 5.56931 | + | 5.16757i | 0.253151 | + | 0.234889i | ||||
\(485\) | 10.4376 | + | 11.2490i | 0.473946 | + | 0.510792i | ||||
\(486\) | −13.3748 | + | 21.9299i | −0.606693 | + | 0.994762i | ||||
\(487\) | −21.5165 | − | 6.63697i | −0.975007 | − | 0.300750i | −0.233992 | − | 0.972238i | \(-0.575179\pi\) |
−0.741015 | + | 0.671488i | \(0.765655\pi\) | |||||||
\(488\) | 4.01591 | + | 1.93396i | 0.181792 | + | 0.0875464i | ||||
\(489\) | −14.2685 | − | 21.1459i | −0.645242 | − | 0.956251i | ||||
\(490\) | 45.1458 | − | 3.09335i | 2.03948 | − | 0.139743i | ||||
\(491\) | −16.2940 | + | 9.40733i | −0.735336 | + | 0.424547i | −0.820371 | − | 0.571831i | \(-0.806233\pi\) |
0.0850348 | + | 0.996378i | \(0.472900\pi\) | |||||||
\(492\) | 0.945055 | + | 6.48150i | 0.0426064 | + | 0.292209i | ||||
\(493\) | 21.3304 | + | 22.9887i | 0.960674 | + | 1.03536i | ||||
\(494\) | 0.284999 | + | 1.89085i | 0.0128227 | + | 0.0850733i | ||||
\(495\) | −6.76080 | + | 2.57861i | −0.303876 | + | 0.115900i | ||||
\(496\) | −7.66712 | − | 1.74997i | −0.344264 | − | 0.0785760i | ||||
\(497\) | −6.84390 | − | 22.4416i | −0.306991 | − | 1.00664i | ||||
\(498\) | 6.37218 | − | 27.3119i | 0.285544 | − | 1.22387i | ||||
\(499\) | 0.510650 | − | 6.81415i | 0.0228598 | − | 0.305043i | −0.974041 | − | 0.226373i | \(-0.927313\pi\) |
0.996901 | − | 0.0786709i | \(-0.0250676\pi\) | |||||||
\(500\) | 3.36606 | − | 14.7477i | 0.150535 | − | 0.659536i | ||||
\(501\) | −5.77004 | − | 39.5728i | −0.257786 | − | 1.76798i | ||||
\(502\) | 17.1754 | + | 13.6969i | 0.766575 | + | 0.611323i | ||||
\(503\) | −8.64551 | − | 4.16346i | −0.385484 | − | 0.185639i | 0.231097 | − | 0.972931i | \(-0.425769\pi\) |
−0.616581 | + | 0.787291i | \(0.711483\pi\) | |||||||
\(504\) | −7.09601 | − | 15.2314i | −0.316081 | − | 0.678460i | ||||
\(505\) | 11.1945 | − | 5.39098i | 0.498148 | − | 0.239896i | ||||
\(506\) | 4.95508 | + | 1.13096i | 0.220280 | + | 0.0502775i | ||||
\(507\) | −9.62506 | − | 20.2352i | −0.427464 | − | 0.898675i | ||||
\(508\) | 0.572517 | 0.0254013 | ||||||||
\(509\) | −9.32709 | + | 16.1550i | −0.413416 | + | 0.716058i | −0.995261 | − | 0.0972424i | \(-0.968998\pi\) |
0.581845 | + | 0.813300i | \(0.302331\pi\) | |||||||
\(510\) | 5.26348 | − | 65.9747i | 0.233071 | − | 2.92141i | ||||
\(511\) | 0.0786534 | − | 0.162000i | 0.00347942 | − | 0.00716645i | ||||
\(512\) | −1.39457 | + | 1.11213i | −0.0616318 | + | 0.0491498i | ||||
\(513\) | 23.7148 | + | 3.92534i | 1.04704 | + | 0.173308i | ||||
\(514\) | −11.8809 | − | 0.890349i | −0.524043 | − | 0.0392716i | ||||
\(515\) | 20.8348 | − | 30.5590i | 0.918091 | − | 1.34659i | ||||
\(516\) | −6.96695 | + | 1.55493i | −0.306703 | + | 0.0684519i | ||||
\(517\) | 6.24985 | + | 2.45289i | 0.274868 | + | 0.107878i | ||||
\(518\) | −13.1177 | − | 19.3727i | −0.576357 | − | 0.851189i | ||||
\(519\) | 19.7398 | − | 28.6557i | 0.866480 | − | 1.25785i | ||||
\(520\) | 2.08342 | 0.0913638 | ||||||||
\(521\) | 12.1225 | − | 20.9968i | 0.531097 | − | 0.919886i | −0.468245 | − | 0.883599i | \(-0.655113\pi\) |
0.999341 | − | 0.0362876i | \(-0.0115532\pi\) | |||||||
\(522\) | −12.8943 | − | 22.8384i | −0.564370 | − | 0.999611i | ||||
\(523\) | 5.90567 | + | 19.1457i | 0.258237 | + | 0.837184i | 0.988130 | + | 0.153622i | \(0.0490938\pi\) |
−0.729893 | + | 0.683562i | \(0.760430\pi\) | |||||||
\(524\) | 1.02099 | − | 13.6242i | 0.0446021 | − | 0.595174i | ||||
\(525\) | 36.9896 | + | 29.9858i | 1.61436 | + | 1.30869i | ||||
\(526\) | −0.690265 | − | 9.21095i | −0.0300970 | − | 0.401617i | ||||
\(527\) | 8.79707 | − | 3.45260i | 0.383206 | − | 0.150397i | ||||
\(528\) | 5.18322 | − | 0.755755i | 0.225571 | − | 0.0328900i | ||||
\(529\) | −2.07292 | + | 0.639410i | −0.0901268 | + | 0.0278005i | ||||
\(530\) | 38.8724 | + | 26.5028i | 1.68851 | + | 1.15121i | ||||
\(531\) | 15.5531 | + | 40.7784i | 0.674948 | + | 1.76963i | ||||
\(532\) | 5.97484 | − | 6.39824i | 0.259042 | − | 0.277399i | ||||
\(533\) | 0.902119 | − | 0.972253i | 0.0390751 | − | 0.0421130i | ||||
\(534\) | 1.04865 | + | 0.982434i | 0.0453793 | + | 0.0425141i | ||||
\(535\) | −23.6173 | + | 18.8342i | −1.02107 | + | 0.814273i | ||||
\(536\) | −7.92012 | + | 1.80771i | −0.342097 | + | 0.0780814i | ||||
\(537\) | −19.3515 | − | 24.5070i | −0.835078 | − | 1.05755i | ||||
\(538\) | 2.99131 | + | 1.72703i | 0.128964 | + | 0.0744577i | ||||
\(539\) | −3.34751 | − | 2.70471i | −0.144187 | − | 0.116500i | ||||
\(540\) | −4.49836 | + | 13.8693i | −0.193579 | + | 0.596839i | ||||
\(541\) | −2.30888 | − | 30.8098i | −0.0992664 | − | 1.32462i | −0.795128 | − | 0.606442i | \(-0.792596\pi\) |
0.695861 | − | 0.718176i | \(-0.255023\pi\) | |||||||
\(542\) | 32.4297 | − | 30.0904i | 1.39298 | − | 1.29249i | ||||
\(543\) | −4.41060 | + | 4.05311i | −0.189277 | + | 0.173936i | ||||
\(544\) | −6.74506 | + | 21.8670i | −0.289192 | + | 0.937538i | ||||
\(545\) | 28.2105 | − | 8.70179i | 1.20841 | − | 0.372744i | ||||
\(546\) | 0.835520 | − | 1.70002i | 0.0357569 | − | 0.0727543i | ||||
\(547\) | −6.30978 | − | 1.94631i | −0.269787 | − | 0.0832182i | 0.156910 | − | 0.987613i | \(-0.449847\pi\) |
−0.426697 | + | 0.904395i | \(0.640323\pi\) | |||||||
\(548\) | 2.35576 | − | 3.45527i | 0.100633 | − | 0.147602i | ||||
\(549\) | 6.29396 | + | 0.532625i | 0.268620 | + | 0.0227319i | ||||
\(550\) | −8.69762 | + | 5.92994i | −0.370868 | + | 0.252853i | ||||
\(551\) | −15.3024 | + | 19.1886i | −0.651905 | + | 0.817463i | ||||
\(552\) | −14.4374 | + | 11.4003i | −0.614498 | + | 0.485227i | ||||
\(553\) | 3.64140 | − | 9.19169i | 0.154848 | − | 0.390871i | ||||
\(554\) | −15.9449 | + | 23.3868i | −0.677433 | + | 0.993611i | ||||
\(555\) | 5.60833 | − | 36.0315i | 0.238060 | − | 1.52945i | ||||
\(556\) | −0.460680 | + | 3.05641i | −0.0195372 | + | 0.129621i | ||||
\(557\) | 28.1033 | + | 16.2255i | 1.19078 | + | 0.687495i | 0.958483 | − | 0.285151i | \(-0.0920437\pi\) |
0.232293 | + | 0.972646i | \(0.425377\pi\) | |||||||
\(558\) | −7.82614 | + | 1.10268i | −0.331307 | + | 0.0466803i | ||||
\(559\) | 1.13009 | + | 0.901216i | 0.0477977 | + | 0.0381174i | ||||
\(560\) | −31.7055 | − | 40.0190i | −1.33980 | − | 1.69111i | ||||
\(561\) | −4.63468 | + | 4.25904i | −0.195676 | + | 0.179817i | ||||
\(562\) | 11.6625 | − | 1.75784i | 0.491952 | − | 0.0741498i | ||||
\(563\) | −20.8656 | + | 10.0483i | −0.879379 | + | 0.423487i | −0.818398 | − | 0.574652i | \(-0.805137\pi\) |
−0.0609814 | + | 0.998139i | \(0.519423\pi\) | |||||||
\(564\) | 11.7488 | − | 6.70799i | 0.494713 | − | 0.282457i | ||||
\(565\) | −62.3042 | + | 49.6860i | −2.62116 | + | 2.09030i | ||||
\(566\) | −1.00841 | − | 1.26450i | −0.0423865 | − | 0.0531510i | ||||
\(567\) | −17.0874 | − | 16.5837i | −0.717605 | − | 0.696451i | ||||
\(568\) | −11.7049 | + | 14.6775i | −0.491127 | + | 0.615853i | ||||
\(569\) | 21.1557i | 0.886892i | 0.896301 | + | 0.443446i | \(0.146244\pi\) | ||||
−0.896301 | + | 0.443446i | \(0.853756\pi\) | |||||||
\(570\) | 51.6703 | − | 3.62221i | 2.16423 | − | 0.151718i | ||||
\(571\) | −22.9925 | + | 28.8317i | −0.962206 | + | 1.20657i | 0.0161983 | + | 0.999869i | \(0.494844\pi\) |
−0.978404 | + | 0.206700i | \(0.933728\pi\) | |||||||
\(572\) | 0.0808638 | + | 0.0750306i | 0.00338109 | + | 0.00313719i | ||||
\(573\) | 2.12579 | + | 3.72323i | 0.0888060 | + | 0.155540i | ||||
\(574\) | −22.9803 | − | 1.79596i | −0.959177 | − | 0.0749619i | ||||
\(575\) | 22.6184 | − | 46.9675i | 0.943251 | − | 1.95868i | ||||
\(576\) | −5.27406 | + | 8.93523i | −0.219752 | + | 0.372301i | ||||
\(577\) | −8.06209 | − | 11.8249i | −0.335629 | − | 0.492278i | 0.620910 | − | 0.783882i | \(-0.286763\pi\) |
−0.956539 | + | 0.291604i | \(0.905811\pi\) | |||||||
\(578\) | −8.71311 | − | 28.2472i | −0.362418 | − | 1.17493i | ||||
\(579\) | 5.96373 | − | 3.40500i | 0.247844 | − | 0.141507i | ||||
\(580\) | −10.1259 | − | 10.9131i | −0.420455 | − | 0.453143i | ||||
\(581\) | 23.3875 | + | 11.3550i | 0.970276 | + | 0.471084i | ||||
\(582\) | −8.69466 | − | 7.00247i | −0.360405 | − | 0.290262i | ||||
\(583\) | −0.995651 | − | 4.36223i | −0.0412357 | − | 0.180665i | ||||
\(584\) | −0.142486 | + | 0.0214763i | −0.00589610 | + | 0.000888694i | ||||
\(585\) | 2.75856 | − | 1.05213i | 0.114052 | − | 0.0435003i | ||||
\(586\) | 31.2999 | − | 2.34560i | 1.29299 | − | 0.0968960i | ||||
\(587\) | 14.4544 | − | 25.0357i | 0.596597 | − | 1.03334i | −0.396723 | − | 0.917938i | \(-0.629853\pi\) |
0.993319 | − | 0.115397i | \(-0.0368141\pi\) | |||||||
\(588\) | −8.47565 | + | 1.83489i | −0.349530 | + | 0.0756697i | ||||
\(589\) | 3.69801 | + | 6.40513i | 0.152374 | + | 0.263919i | ||||
\(590\) | 52.9777 | + | 77.7039i | 2.18106 | + | 3.19902i | ||||
\(591\) | −4.68208 | + | 1.41959i | −0.192595 | + | 0.0583942i | ||||
\(592\) | −9.64399 | + | 24.5725i | −0.396366 | + | 1.00992i | ||||
\(593\) | −12.9274 | + | 11.9948i | −0.530863 | + | 0.492569i | −0.899450 | − | 0.437024i | \(-0.856032\pi\) |
0.368586 | + | 0.929594i | \(0.379842\pi\) | |||||||
\(594\) | 4.59637 | − | 2.56597i | 0.188591 | − | 0.105283i | ||||
\(595\) | 58.5695 | + | 18.2714i | 2.40112 | + | 0.749053i | ||||
\(596\) | 1.51818 | − | 4.92181i | 0.0621870 | − | 0.201605i | ||||
\(597\) | 38.6611 | + | 0.186034i | 1.58229 | + | 0.00761387i | ||||
\(598\) | −2.02179 | − | 0.461459i | −0.0826769 | − | 0.0188705i | ||||
\(599\) | −17.8552 | + | 37.0767i | −0.729543 | + | 1.51491i | 0.123086 | + | 0.992396i | \(0.460721\pi\) |
−0.852629 | + | 0.522516i | \(0.824993\pi\) | |||||||
\(600\) | 3.03008 | − | 37.9802i | 0.123702 | − | 1.55054i | ||||
\(601\) | 1.65173 | + | 2.42264i | 0.0673753 | + | 0.0988215i | 0.858448 | − | 0.512901i | \(-0.171429\pi\) |
−0.791072 | + | 0.611723i | \(0.790477\pi\) | |||||||
\(602\) | 0.0802324 | − | 25.1206i | 0.00327003 | − | 1.02384i | ||||
\(603\) | −9.57378 | + | 6.39321i | −0.389874 | + | 0.260351i | ||||
\(604\) | −11.4115 | + | 3.51997i | −0.464326 | + | 0.143226i | ||||
\(605\) | −41.2060 | − | 6.21081i | −1.67526 | − | 0.252505i | ||||
\(606\) | −7.49293 | + | 5.05595i | −0.304380 | + | 0.205384i | ||||
\(607\) | −16.2578 | − | 9.38647i | −0.659885 | − | 0.380985i | 0.132348 | − | 0.991203i | \(-0.457748\pi\) |
−0.792233 | + | 0.610218i | \(0.791082\pi\) | |||||||
\(608\) | −17.7091 | − | 2.66922i | −0.718199 | − | 0.108251i | ||||
\(609\) | 23.2892 | − | 6.98006i | 0.943724 | − | 0.282846i | ||||
\(610\) | 13.4589 | − | 2.02861i | 0.544937 | − | 0.0821360i | ||||
\(611\) | −2.55008 | − | 1.00083i | −0.103165 | − | 0.0404894i | ||||
\(612\) | 0.826075 | + | 12.6566i | 0.0333921 | + | 0.511611i | ||||
\(613\) | 1.46259 | − | 19.5170i | 0.0590736 | − | 0.788283i | −0.886470 | − | 0.462786i | \(-0.846850\pi\) |
0.945543 | − | 0.325496i | \(-0.105531\pi\) | |||||||
\(614\) | −12.2532 | − | 15.3651i | −0.494500 | − | 0.620084i | ||||
\(615\) | −24.3092 | − | 26.4533i | −0.980243 | − | 1.06670i | ||||
\(616\) | −0.268305 | + | 3.43310i | −0.0108103 | + | 0.138324i | ||||
\(617\) | −0.908538 | + | 6.02776i | −0.0365764 | + | 0.242668i | −0.999647 | − | 0.0265818i | \(-0.991538\pi\) |
0.963070 | + | 0.269250i | \(0.0867758\pi\) | |||||||
\(618\) | −11.7911 | + | 24.1861i | −0.474308 | + | 0.972906i | ||||
\(619\) | −8.46935 | + | 4.88978i | −0.340412 | + | 0.196537i | −0.660454 | − | 0.750866i | \(-0.729636\pi\) |
0.320042 | + | 0.947403i | \(0.396303\pi\) | |||||||
\(620\) | −4.17612 | + | 1.63900i | −0.167717 | + | 0.0658240i | ||||
\(621\) | −13.3588 | + | 22.3855i | −0.536071 | + | 0.898301i | ||||
\(622\) | −3.27502 | − | 6.80064i | −0.131316 | − | 0.272681i | ||||
\(623\) | −1.10300 | + | 0.746861i | −0.0441906 | + | 0.0299223i | ||||
\(624\) | −2.11487 | + | 0.308365i | −0.0846626 | + | 0.0123445i | ||||
\(625\) | 11.3314 | + | 28.8719i | 0.453255 | + | 1.15488i | ||||
\(626\) | 30.0425 | + | 14.4677i | 1.20074 | + | 0.578246i | ||||
\(627\) | −3.83658 | − | 3.08989i | −0.153218 | − | 0.123398i | ||||
\(628\) | −6.18527 | − | 12.8438i | −0.246819 | − | 0.512525i | ||||
\(629\) | −7.05857 | − | 30.9256i | −0.281444 | − | 1.23309i | ||||
\(630\) | −44.1038 | − | 26.2227i | −1.75714 | − | 1.04474i | ||||
\(631\) | −7.06814 | + | 30.9676i | −0.281378 | + | 1.23280i | 0.614649 | + | 0.788801i | \(0.289298\pi\) |
−0.896028 | + | 0.443999i | \(0.853560\pi\) | |||||||
\(632\) | −7.71255 | + | 1.76034i | −0.306789 | + | 0.0700225i | ||||
\(633\) | 4.55433 | − | 14.5164i | 0.181019 | − | 0.576976i | ||||
\(634\) | −0.325855 | − | 1.42766i | −0.0129413 | − | 0.0566997i | ||||
\(635\) | −2.59457 | + | 1.76895i | −0.102962 | + | 0.0701985i | ||||
\(636\) | −8.10433 | − | 3.95099i | −0.321357 | − | 0.156667i | ||||
\(637\) | 1.36586 | + | 1.10358i | 0.0541173 | + | 0.0437256i | ||||
\(638\) | 5.37484i | 0.212792i | ||||||||
\(639\) | −8.08577 | + | 25.3448i | −0.319868 | + | 1.00263i | ||||
\(640\) | −15.5435 | + | 50.3910i | −0.614413 | + | 1.99188i | ||||
\(641\) | −40.6019 | − | 15.9351i | −1.60368 | − | 0.629398i | −0.616263 | − | 0.787540i | \(-0.711354\pi\) |
−0.987416 | + | 0.158142i | \(0.949450\pi\) | |||||||
\(642\) | 15.0249 | − | 16.0375i | 0.592986 | − | 0.632951i | ||||
\(643\) | 1.83536 | + | 5.95010i | 0.0723796 | + | 0.234649i | 0.984533 | − | 0.175201i | \(-0.0560574\pi\) |
−0.912153 | + | 0.409850i | \(0.865581\pi\) | |||||||
\(644\) | 4.09191 | + | 8.56682i | 0.161244 | + | 0.337580i | ||||
\(645\) | 26.7689 | − | 28.5730i | 1.05402 | − | 1.12506i | ||||
\(646\) | 40.5957 | − | 19.5499i | 1.59722 | − | 0.769179i | ||||
\(647\) | −24.1178 | − | 22.3780i | −0.948167 | − | 0.879771i | 0.0446993 | − | 0.999000i | \(-0.485767\pi\) |
−0.992867 | + | 0.119230i | \(0.961957\pi\) | |||||||
\(648\) | −3.20179 | + | 18.7821i | −0.125778 | + | 0.737832i | ||||
\(649\) | 1.33305 | − | 8.84423i | 0.0523269 | − | 0.347166i | ||||
\(650\) | 3.54883 | − | 2.41955i | 0.139196 | − | 0.0949025i | ||||
\(651\) | 0.605986 | − | 7.30145i | 0.0237505 | − | 0.286166i | ||||
\(652\) | 8.70379 | + | 5.93414i | 0.340867 | + | 0.232399i | ||||
\(653\) | −21.2544 | + | 22.9068i | −0.831748 | + | 0.896411i | −0.995940 | − | 0.0900172i | \(-0.971308\pi\) |
0.164192 | + | 0.986428i | \(0.447498\pi\) | |||||||
\(654\) | −19.3951 | + | 9.22546i | −0.758407 | + | 0.360744i | ||||
\(655\) | 37.4686 | + | 64.8975i | 1.46402 | + | 2.53575i | ||||
\(656\) | 13.0036 | + | 22.5228i | 0.507704 | + | 0.879369i | ||||
\(657\) | −0.177813 | + | 0.100392i | −0.00693716 | + | 0.00391665i | ||||
\(658\) | 13.8878 | + | 45.5391i | 0.541404 | + | 1.77530i | ||||
\(659\) | −1.34431 | − | 8.91891i | −0.0523669 | − | 0.347431i | −0.999636 | − | 0.0269914i | \(-0.991407\pi\) |
0.947269 | − | 0.320440i | \(-0.103831\pi\) | |||||||
\(660\) | 2.20016 | − | 2.02184i | 0.0856411 | − | 0.0786999i | ||||
\(661\) | −0.368358 | − | 0.764904i | −0.0143275 | − | 0.0297513i | 0.893682 | − | 0.448700i | \(-0.148113\pi\) |
−0.908010 | + | 0.418949i | \(0.862399\pi\) | |||||||
\(662\) | 14.0618 | + | 29.1997i | 0.546529 | + | 1.13488i | ||||
\(663\) | 1.89106 | − | 1.73778i | 0.0734425 | − | 0.0674900i | ||||
\(664\) | −3.10047 | − | 20.5703i | −0.120321 | − | 0.798281i | ||||
\(665\) | −7.30806 | + | 47.4569i | −0.283394 | + | 1.84030i | ||||
\(666\) | −0.255302 | + | 26.5274i | −0.00989274 | + | 1.02792i | ||||
\(667\) | −13.3085 | − | 23.0510i | −0.515306 | − | 0.892537i | ||||
\(668\) | 8.25724 | + | 14.3020i | 0.319482 | + | 0.553359i | ||||
\(669\) | −20.9348 | + | 9.95784i | −0.809385 | + | 0.384992i | ||||
\(670\) | −16.8730 | + | 18.1848i | −0.651861 | + | 0.702539i | ||||
\(671\) | −1.06954 | − | 0.729197i | −0.0412889 | − | 0.0281503i | ||||
\(672\) | 12.9080 | + | 12.1706i | 0.497937 | + | 0.469492i | ||||
\(673\) | 3.86672 | − | 2.63629i | 0.149051 | − | 0.101621i | −0.486498 | − | 0.873682i | \(-0.661726\pi\) |
0.635549 | + | 0.772060i | \(0.280774\pi\) | |||||||
\(674\) | −3.58740 | + | 23.8008i | −0.138181 | + | 0.916773i | ||||
\(675\) | −15.1682 | − | 51.8182i | −0.583823 | − | 1.99448i | ||||
\(676\) | 6.78314 | + | 6.29383i | 0.260890 | + | 0.242071i | ||||
\(677\) | −38.4688 | + | 18.5256i | −1.47848 | + | 0.711996i | −0.987271 | − | 0.159048i | \(-0.949158\pi\) |
−0.491205 | + | 0.871044i | \(0.663443\pi\) | |||||||
\(678\) | 39.6369 | − | 42.3082i | 1.52224 | − | 1.62484i | ||||
\(679\) | 8.11173 | − | 6.42661i | 0.311300 | − | 0.246631i | ||||
\(680\) | −14.4702 | − | 46.9111i | −0.554905 | − | 1.79896i | ||||
\(681\) | −32.6180 | + | 34.8163i | −1.24992 | + | 1.33416i | ||||
\(682\) | 1.50773 | + | 0.591740i | 0.0577339 | + | 0.0226589i | ||||
\(683\) | −10.5682 | + | 34.2613i | −0.404381 | + | 1.31097i | 0.493120 | + | 0.869961i | \(0.335856\pi\) |
−0.897502 | + | 0.441011i | \(0.854620\pi\) | |||||||
\(684\) | −9.69827 | + | 2.11558i | −0.370823 | + | 0.0808913i | ||||
\(685\) | 22.9376i | 0.876401i | ||||||||
\(686\) | 0.292405 | − | 30.5163i | 0.0111641 | − | 1.16512i | ||||
\(687\) | 28.4150 | + | 13.8528i | 1.08410 | + | 0.528516i | ||||
\(688\) | −23.4182 | + | 15.9662i | −0.892810 | + | 0.608707i | ||||
\(689\) | 0.406248 | + | 1.77989i | 0.0154768 | + | 0.0678084i | ||||
\(690\) | −16.8156 | + | 53.5978i | −0.640158 | + | 2.04043i | ||||
\(691\) | 15.8416 | − | 3.61574i | 0.602643 | − | 0.137549i | 0.0896955 | − | 0.995969i | \(-0.471411\pi\) |
0.512948 | + | 0.858420i | \(0.328553\pi\) | |||||||
\(692\) | −3.19748 | + | 14.0091i | −0.121550 | + | 0.532546i | ||||
\(693\) | 1.37848 | + | 4.68112i | 0.0523641 | + | 0.177821i | ||||
\(694\) | 0.307972 | + | 1.34931i | 0.0116904 | + | 0.0512192i | ||||
\(695\) | −7.35589 | − | 15.2747i | −0.279025 | − | 0.579401i | ||||
\(696\) | −15.1511 | − | 12.2023i | −0.574302 | − | 0.462529i | ||||
\(697\) | −28.1572 | − | 13.5598i | −1.06653 | − | 0.513615i | ||||
\(698\) | −18.5859 | − | 47.3561i | −0.703487 | − | 1.79246i | ||||
\(699\) | −50.7174 | + | 7.39500i | −1.91831 | + | 0.279705i | ||||
\(700\) | −18.7713 | − | 5.85591i | −0.709489 | − | 0.221333i | ||||
\(701\) | −3.30209 | − | 6.85687i | −0.124718 | − | 0.258980i | 0.829256 | − | 0.558869i | \(-0.188765\pi\) |
−0.953974 | + | 0.299889i | \(0.903050\pi\) | |||||||
\(702\) | −1.87542 | + | 1.04697i | −0.0707833 | + | 0.0395155i | ||||
\(703\) | 23.1093 | − | 9.06974i | 0.871584 | − | 0.342072i | ||||
\(704\) | 1.84146 | − | 1.06317i | 0.0694026 | − | 0.0400696i | ||||
\(705\) | −32.5177 | + | 66.7008i | −1.22469 | + | 2.51210i | ||||
\(706\) | −4.86304 | + | 32.2642i | −0.183023 | + | 1.21428i | ||||
\(707\) | −3.03640 | − | 7.80988i | −0.114196 | − | 0.293721i | ||||
\(708\) | −12.1949 | − | 13.2705i | −0.458312 | − | 0.498734i | ||||
\(709\) | 12.6152 | + | 15.8189i | 0.473773 | + | 0.594093i | 0.960090 | − | 0.279690i | \(-0.0902316\pi\) |
−0.486317 | + | 0.873782i | \(0.661660\pi\) | |||||||
\(710\) | −4.28399 | + | 57.1658i | −0.160775 | + | 2.14540i | ||||
\(711\) | −9.32287 | + | 6.22565i | −0.349635 | + | 0.233480i | ||||
\(712\) | 0.992179 | + | 0.389402i | 0.0371835 | + | 0.0145934i | ||||
\(713\) | −7.93136 | + | 1.19546i | −0.297032 | + | 0.0447703i | ||||
\(714\) | −44.0815 | − | 7.00558i | −1.64971 | − | 0.262177i | ||||
\(715\) | −0.598292 | − | 0.0901780i | −0.0223748 | − | 0.00337246i | ||||
\(716\) | 11.1673 | + | 6.44745i | 0.417342 | + | 0.240953i | ||||
\(717\) | 11.3743 | − | 7.67498i | 0.424782 | − | 0.286627i | ||||
\(718\) | 49.1743 | + | 7.41183i | 1.83517 | + | 0.276607i | ||||
\(719\) | 2.50768 | − | 0.773517i | 0.0935207 | − | 0.0288473i | −0.247642 | − | 0.968852i | \(-0.579656\pi\) |
0.341162 | + | 0.940004i | \(0.389179\pi\) | |||||||
\(720\) | 3.77054 | + | 57.7696i | 0.140520 | + | 2.15295i | ||||
\(721\) | −19.4516 | − | 15.6140i | −0.724414 | − | 0.581496i | ||||
\(722\) | 2.22784 | + | 3.26765i | 0.0829117 | + | 0.121609i | ||||
\(723\) | 0.946911 | − | 11.8690i | 0.0352160 | − | 0.441412i | ||||
\(724\) | 1.07326 | − | 2.22865i | 0.0398875 | − | 0.0828272i | ||||
\(725\) | 53.7462 | + | 12.2672i | 1.99608 | + | 0.455593i | ||||
\(726\) | 30.3157 | + | 0.145877i | 1.12512 | + | 0.00541400i | ||||
\(727\) | 0.424052 | − | 1.37474i | 0.0157272 | − | 0.0509864i | −0.947369 | − | 0.320143i | \(-0.896269\pi\) |
0.963096 | + | 0.269157i | \(0.0867451\pi\) | |||||||
\(728\) | 0.109474 | − | 1.40078i | 0.00405739 | − | 0.0519165i | ||||
\(729\) | 5.24569 | + | 26.4855i | 0.194285 | + | 0.980945i | ||||
\(730\) | −0.322551 | + | 0.299283i | −0.0119381 | + | 0.0110770i | ||||
\(731\) | 12.4432 | − | 31.7049i | 0.460230 | − | 1.17265i | ||||
\(732\) | −2.49618 | + | 0.756834i | −0.0922614 | + | 0.0279734i | ||||
\(733\) | −3.84559 | − | 5.64044i | −0.142040 | − | 0.208334i | 0.748626 | − | 0.662992i | \(-0.230714\pi\) |
−0.890666 | + | 0.454658i | \(0.849761\pi\) | |||||||
\(734\) | −2.69386 | − | 4.66591i | −0.0994324 | − | 0.172222i | ||||
\(735\) | 32.7411 | − | 34.5033i | 1.20767 | − | 1.27267i | ||||
\(736\) | 9.71120 | − | 16.8203i | 0.357959 | − | 0.620004i | ||||
\(737\) | 2.35265 | − | 0.176307i | 0.0866611 | − | 0.00649435i | ||||
\(738\) | 20.2767 | + | 16.4918i | 0.746394 | + | 0.607072i | ||||
\(739\) | 29.8392 | − | 4.49754i | 1.09765 | − | 0.165445i | 0.424848 | − | 0.905265i | \(-0.360327\pi\) |
0.672805 | + | 0.739820i | \(0.265089\pi\) | |||||||
\(740\) | 3.35082 | + | 14.6809i | 0.123179 | + | 0.539681i | ||||
\(741\) | 1.56541 | + | 1.26074i | 0.0575068 | + | 0.0463146i | ||||
\(742\) | 19.8617 | − | 24.7432i | 0.729146 | − | 0.908353i | ||||
\(743\) | −18.5907 | − | 20.0361i | −0.682028 | − | 0.735051i | 0.293249 | − | 0.956036i | \(-0.405263\pi\) |
−0.975277 | + | 0.220985i | \(0.929073\pi\) | |||||||
\(744\) | −5.09101 | + | 2.90672i | −0.186645 | + | 0.106566i | ||||
\(745\) | 8.32711 | + | 26.9958i | 0.305082 | + | 0.989050i | ||||
\(746\) | −13.3403 | − | 19.5666i | −0.488423 | − | 0.716385i | ||||
\(747\) | −14.4933 | − | 25.6704i | −0.530280 | − | 0.939233i | ||||
\(748\) | 1.12779 | − | 2.34188i | 0.0412361 | − | 0.0856276i | ||||
\(749\) | 11.4222 | + | 16.8687i | 0.417357 | + | 0.616370i | ||||
\(750\) | −29.9286 | − | 52.4188i | −1.09284 | − | 1.91406i | ||||
\(751\) | 16.1428 | + | 14.9784i | 0.589061 | + | 0.546568i | 0.917387 | − | 0.397996i | \(-0.130294\pi\) |
−0.328326 | + | 0.944564i | \(0.606485\pi\) | |||||||
\(752\) | 33.4920 | − | 41.9976i | 1.22133 | − | 1.53149i | ||||
\(753\) | 23.0348 | − | 1.61479i | 0.839434 | − | 0.0588464i | ||||
\(754\) | − | 2.19306i | − | 0.0798664i | ||||||
\(755\) | 40.8393 | − | 51.2109i | 1.48629 | − | 1.86375i | ||||
\(756\) | 9.08863 | + | 3.75324i | 0.330550 | + | 0.136504i | ||||
\(757\) | 5.65993 | + | 7.09733i | 0.205714 | + | 0.257957i | 0.873976 | − | 0.485969i | \(-0.161533\pi\) |
−0.668263 | + | 0.743926i | \(0.732962\pi\) | |||||||
\(758\) | 2.23351 | − | 1.78116i | 0.0811247 | − | 0.0646948i | ||||
\(759\) | 4.63942 | − | 2.64889i | 0.168400 | − | 0.0961486i | ||||
\(760\) | 34.6156 | − | 16.6700i | 1.25564 | − | 0.604684i | ||||
\(761\) | 21.1771 | − | 3.19193i | 0.767669 | − | 0.115708i | 0.246479 | − | 0.969148i | \(-0.420726\pi\) |
0.521190 | + | 0.853441i | \(0.325488\pi\) | |||||||
\(762\) | 1.68212 | − | 1.54579i | 0.0609369 | − | 0.0559980i | ||||
\(763\) | −4.36830 | − | 19.4246i | −0.158143 | − | 0.703216i | ||||
\(764\) | −1.38421 | − | 1.10387i | −0.0500790 | − | 0.0399367i | ||||
\(765\) | −42.8496 | − | 54.8055i | −1.54923 | − | 1.98150i | ||||
\(766\) | 14.3652 | + | 8.29375i | 0.519035 | + | 0.299665i | ||||
\(767\) | −0.543916 | + | 3.60865i | −0.0196397 | + | 0.130301i | ||||
\(768\) | 4.05769 | − | 26.0693i | 0.146419 | − | 0.940693i | ||||
\(769\) | 18.9640 | − | 27.8151i | 0.683860 | − | 1.00304i | −0.314690 | − | 0.949195i | \(-0.601900\pi\) |
0.998549 | − | 0.0538433i | \(-0.0171471\pi\) | |||||||
\(770\) | 5.22856 | + | 9.12330i | 0.188424 | + | 0.328781i | ||||
\(771\) | −9.82860 | + | 7.76097i | −0.353968 | + | 0.279504i | ||||
\(772\) | −1.76814 | + | 2.21718i | −0.0636367 | + | 0.0797979i | ||||
\(773\) | 32.0421 | − | 21.8459i | 1.15247 | − | 0.785744i | 0.172528 | − | 0.985005i | \(-0.444806\pi\) |
0.979947 | + | 0.199261i | \(0.0638541\pi\) | |||||||
\(774\) | −16.2715 | + | 23.3793i | −0.584866 | + | 0.840350i | ||||
\(775\) | 9.35831 | − | 13.7261i | 0.336160 | − | 0.493057i | ||||
\(776\) | −7.91289 | − | 2.44080i | −0.284056 | − | 0.0876197i | ||||
\(777\) | −23.9311 | − | 5.66406i | −0.858523 | − | 0.203197i | ||||
\(778\) | −51.4297 | + | 15.8640i | −1.84384 | + | 0.568751i | ||||
\(779\) | 7.20928 | − | 23.3719i | 0.258299 | − | 0.837386i | ||||
\(780\) | −0.897715 | + | 0.824955i | −0.0321434 | + | 0.0295381i | ||||
\(781\) | 3.99657 | − | 3.70828i | 0.143009 | − | 0.132693i | ||||
\(782\) | 3.65169 | + | 48.7284i | 0.130584 | + | 1.74252i | ||||
\(783\) | −26.2232 | − | 8.50523i | −0.937140 | − | 0.303952i | ||||
\(784\) | −28.5727 | + | 19.2144i | −1.02045 | + | 0.686227i | ||||
\(785\) | 67.7154 | + | 39.0955i | 2.41687 | + | 1.39538i | ||||
\(786\) | −33.7852 | − | 42.7861i | −1.20508 | − | 1.52613i | ||||
\(787\) | 22.7677 | − | 5.19659i | 0.811582 | − | 0.185238i | 0.203461 | − | 0.979083i | \(-0.434781\pi\) |
0.608121 | + | 0.793845i | \(0.291924\pi\) | |||||||
\(788\) | 1.57960 | − | 1.25969i | 0.0562711 | − | 0.0448747i | ||||
\(789\) | −7.08537 | − | 6.63799i | −0.252246 | − | 0.236319i | ||||
\(790\) | −16.4308 | + | 17.7082i | −0.584582 | + | 0.630029i | ||||
\(791\) | 30.1325 | + | 44.5010i | 1.07139 | + | 1.58227i | ||||
\(792\) | 2.46377 | − | 3.02920i | 0.0875463 | − | 0.107638i | ||||
\(793\) | 0.436395 | + | 0.297529i | 0.0154968 | + | 0.0105656i | ||||
\(794\) | −33.6777 | + | 10.3882i | −1.19518 | + | 0.368663i | ||||
\(795\) | 48.9354 | − | 7.13517i | 1.73556 | − | 0.253059i | ||||
\(796\) | −14.8617 | + | 5.83280i | −0.526760 | + | 0.206738i | ||||
\(797\) | −1.35954 | − | 18.1417i | −0.0481572 | − | 0.642613i | −0.968101 | − | 0.250562i | \(-0.919385\pi\) |
0.919943 | − | 0.392051i | \(-0.128234\pi\) | |||||||
\(798\) | 0.279654 | − | 34.9308i | 0.00989964 | − | 1.23654i | ||||
\(799\) | −4.82386 | + | 64.3699i | −0.170656 | + | 2.27724i | ||||
\(800\) | 11.8572 | + | 38.4400i | 0.419214 | + | 1.35906i | ||||
\(801\) | 1.51035 | + | 0.0145357i | 0.0533656 | + | 0.000513594i | ||||
\(802\) | 23.0574 | − | 39.9366i | 0.814186 | − | 1.41021i | ||||
\(803\) | 0.0418470 | 0.00147675 | ||||||||
\(804\) | 2.69688 | − | 3.91499i | 0.0951117 | − | 0.138071i | ||||
\(805\) | −45.0135 | − | 26.1806i | −1.58652 | − | 0.922745i | ||||
\(806\) | −0.615188 | − | 0.241443i | −0.0216691 | − | 0.00850448i | ||||
\(807\) | 3.54348 | − | 0.790857i | 0.124736 | − | 0.0278395i | ||||
\(808\) | −3.77695 | + | 5.53976i | −0.132872 | + | 0.194888i | ||||
\(809\) | 26.1734 | + | 1.96143i | 0.920208 | + | 0.0689601i | 0.526404 | − | 0.850234i | \(-0.323540\pi\) |
0.393804 | + | 0.919194i | \(0.371159\pi\) | |||||||
\(810\) | 24.2301 | + | 52.8952i | 0.851360 | + | 1.85855i | ||||
\(811\) | 3.74840 | − | 2.98925i | 0.131624 | − | 0.104967i | −0.555465 | − | 0.831540i | \(-0.687460\pi\) |
0.687089 | + | 0.726573i | \(0.258888\pi\) | |||||||
\(812\) | −7.86951 | + | 6.23471i | −0.276166 | + | 0.218796i | ||||
\(813\) | 3.69813 | − | 46.3539i | 0.129699 | − | 1.62570i | ||||
\(814\) | 2.71832 | − | 4.70828i | 0.0952772 | − | 0.165025i | ||||
\(815\) | −57.7796 | −2.02393 | ||||||||
\(816\) | 21.6319 | + | 45.4776i | 0.757268 | + | 1.59204i | ||||
\(817\) | 25.9871 | + | 5.93139i | 0.909174 | + | 0.207513i | ||||
\(818\) | −1.46304 | + | 0.704562i | −0.0511540 | + | 0.0246344i | ||||
\(819\) | −0.562451 | − | 1.91000i | −0.0196536 | − | 0.0667409i | ||||
\(820\) | 13.3667 | + | 6.43707i | 0.466786 | + | 0.224792i | ||||
\(821\) | 18.4509 | + | 14.7141i | 0.643940 | + | 0.513525i | 0.890136 | − | 0.455695i | \(-0.150609\pi\) |
−0.246196 | + | 0.969220i | \(0.579181\pi\) | |||||||
\(822\) | −2.40766 | − | 16.5125i | −0.0839769 | − | 0.575941i | ||||
\(823\) | −6.17701 | + | 27.0632i | −0.215317 | + | 0.943365i | 0.745571 | + | 0.666426i | \(0.232177\pi\) |
−0.960888 | + | 0.276938i | \(0.910680\pi\) | |||||||
\(824\) | −1.49149 | + | 19.9026i | −0.0519585 | + | 0.693338i | ||||
\(825\) | −2.51407 | + | 10.7756i | −0.0875286 | + | 0.375157i | ||||
\(826\) | 55.0280 | − | 31.5365i | 1.91467 | − | 1.09730i | ||||
\(827\) | 28.5483 | + | 6.51597i | 0.992723 | + | 0.226583i | 0.687883 | − | 0.725821i | \(-0.258540\pi\) |
0.304840 | + | 0.952404i | \(0.401397\pi\) | |||||||
\(828\) | 1.70682 | − | 10.6289i | 0.0593160 | − | 0.369380i | ||||
\(829\) | 6.08222 | + | 40.3529i | 0.211244 | + | 1.40151i | 0.803280 | + | 0.595602i | \(0.203086\pi\) |
−0.592036 | + | 0.805912i | \(0.701675\pi\) | |||||||
\(830\) | −43.2067 | − | 46.5658i | −1.49973 | − | 1.61632i | ||||
\(831\) | 4.29274 | + | 29.4410i | 0.148914 | + | 1.02130i | ||||
\(832\) | −0.751357 | + | 0.433796i | −0.0260486 | + | 0.0150392i | ||||
\(833\) | 15.3623 | − | 38.4191i | 0.532273 | − | 1.33114i | ||||
\(834\) | 6.89874 | + | 10.2240i | 0.238884 | + | 0.354027i | ||||
\(835\) | −81.6105 | − | 39.3016i | −2.82425 | − | 1.36009i | ||||
\(836\) | 1.94388 | + | 0.599607i | 0.0672304 | + | 0.0207378i | ||||
\(837\) | −5.27288 | + | 6.41964i | −0.182257 | + | 0.221895i | ||||
\(838\) | −16.2942 | − | 17.5610i | −0.562873 | − | 0.606633i | ||||
\(839\) | −2.33329 | − | 2.16497i | −0.0805540 | − | 0.0747432i | 0.638868 | − | 0.769316i | \(-0.279403\pi\) |
−0.719422 | + | 0.694573i | \(0.755593\pi\) | |||||||
\(840\) | −37.5879 | − | 5.97359i | −1.29690 | − | 0.206109i | ||||
\(841\) | −0.624633 | + | 0.579575i | −0.0215391 | + | 0.0199853i | ||||
\(842\) | 31.3889 | + | 2.35227i | 1.08173 | + | 0.0810646i | ||||
\(843\) | 7.77609 | − | 9.65523i | 0.267823 | − | 0.332544i | ||||
\(844\) | 0.469506 | + | 6.26512i | 0.0161611 | + | 0.215654i | ||||
\(845\) | −50.1868 | − | 7.56445i | −1.72648 | − | 0.260225i | ||||
\(846\) | 16.4079 | − | 51.4305i | 0.564114 | − | 1.76822i | ||||
\(847\) | −6.34103 | + | 27.3785i | −0.217880 | + | 0.940736i | ||||
\(848\) | −35.6987 | − | 2.67525i | −1.22590 | − | 0.0918684i | ||||
\(849\) | −1.67982 | − | 0.261466i | −0.0576514 | − | 0.00897348i | ||||
\(850\) | −79.1276 | − | 63.1021i | −2.71405 | − | 2.16439i | ||||
\(851\) | 26.9230i | 0.922910i | ||||||||
\(852\) | −0.768254 | − | 10.9590i | −0.0263200 | − | 0.375450i | ||||
\(853\) | 11.0404 | − | 4.33303i | 0.378016 | − | 0.148360i | −0.168723 | − | 0.985663i | \(-0.553964\pi\) |
0.546739 | + | 0.837303i | \(0.315869\pi\) | |||||||
\(854\) | −0.656726 | − | 9.15571i | −0.0224727 | − | 0.313302i | ||||
\(855\) | 37.4146 | − | 39.5530i | 1.27955 | − | 1.35268i | ||||
\(856\) | 5.95534 | − | 15.1740i | 0.203549 | − | 0.518635i | ||||
\(857\) | 29.6507 | + | 20.2155i | 1.01285 | + | 0.690549i | 0.951526 | − | 0.307569i | \(-0.0995156\pi\) |
0.0613230 | + | 0.998118i | \(0.480468\pi\) | |||||||
\(858\) | 0.440170 | + | 0.00211806i | 0.0150271 | + | 7.23094e-5i | ||||
\(859\) | 0.900328 | + | 5.97329i | 0.0307188 | + | 0.203806i | 0.998925 | − | 0.0463458i | \(-0.0147576\pi\) |
−0.968207 | + | 0.250152i | \(0.919520\pi\) | |||||||
\(860\) | −5.90701 | + | 15.0508i | −0.201427 | + | 0.513229i | ||||
\(861\) | −19.0632 | + | 14.9543i | −0.649672 | + | 0.509641i | ||||
\(862\) | 0.229845 | + | 0.585634i | 0.00782854 | + | 0.0199468i | ||||
\(863\) | 9.32744 | − | 5.38520i | 0.317510 | − | 0.183314i | −0.332772 | − | 0.943007i | \(-0.607984\pi\) |
0.650282 | + | 0.759693i | \(0.274651\pi\) | |||||||
\(864\) | −4.19274 | − | 19.6746i | −0.142640 | − | 0.669342i | ||||
\(865\) | −28.7944 | − | 73.3668i | −0.979037 | − | 2.49455i | ||||
\(866\) | 11.3704 | − | 49.8168i | 0.386381 | − | 1.69284i | ||||
\(867\) | −26.8339 | − | 15.6652i | −0.911329 | − | 0.532019i | ||||
\(868\) | 0.882547 | + | 2.89393i | 0.0299556 | + | 0.0982264i | ||||
\(869\) | 2.29099 | − | 0.171686i | 0.0777167 | − | 0.00582406i | ||||
\(870\) | −59.2165 | − | 4.72431i | −2.00763 | − | 0.160169i | ||||
\(871\) | −0.959936 | + | 0.0719372i | −0.0325262 | + | 0.00243750i | ||||
\(872\) | −10.8357 | + | 11.6781i | −0.366943 | + | 0.395471i | ||||
\(873\) | −11.7097 | + | 0.764276i | −0.396314 | + | 0.0258668i | ||||
\(874\) | −37.2839 | + | 8.50980i | −1.26115 | + | 0.287848i | ||||
\(875\) | 53.5216 | − | 16.3222i | 1.80936 | − | 0.551791i | ||||
\(876\) | 0.0528913 | − | 0.0656728i | 0.00178703 | − | 0.00221888i | ||||
\(877\) | −31.4570 | − | 9.70319i | −1.06223 | − | 0.327653i | −0.286080 | − | 0.958206i | \(-0.592352\pi\) |
−0.776147 | + | 0.630552i | \(0.782828\pi\) | |||||||
\(878\) | 0.515603 | + | 0.646545i | 0.0174008 | + | 0.0218199i | ||||
\(879\) | 22.5567 | − | 24.0769i | 0.760818 | − | 0.812094i | ||||
\(880\) | 5.14769 | − | 10.6893i | 0.173529 | − | 0.360336i | ||||
\(881\) | −19.6782 | −0.662975 | −0.331487 | − | 0.943460i | \(-0.607550\pi\) | ||||
−0.331487 | + | 0.943460i | \(0.607550\pi\) | |||||||
\(882\) | −19.9483 | + | 28.2753i | −0.671695 | + | 0.952078i | ||||
\(883\) | −37.0710 | −1.24754 | −0.623769 | − | 0.781609i | \(-0.714399\pi\) | ||||
−0.623769 | + | 0.781609i | \(0.714399\pi\) | |||||||
\(884\) | −0.460164 | + | 0.955540i | −0.0154770 | + | 0.0321383i | ||||
\(885\) | 96.2683 | + | 22.4605i | 3.23602 | + | 0.755002i | ||||
\(886\) | 24.8371 | + | 31.1448i | 0.834419 | + | 1.04633i | ||||
\(887\) | −51.9503 | − | 16.0245i | −1.74432 | − | 0.538051i | −0.751719 | − | 0.659483i | \(-0.770775\pi\) |
−0.992600 | + | 0.121432i | \(0.961251\pi\) | |||||||
\(888\) | 7.10081 | + | 18.3517i | 0.238287 | + | 0.615844i | ||||
\(889\) | 1.05302 | + | 1.83741i | 0.0353171 | + | 0.0616247i | ||||
\(890\) | 3.17312 | − | 0.724243i | 0.106363 | − | 0.0242767i | ||||
\(891\) | 1.73241 | − | 5.25505i | 0.0580381 | − | 0.176051i | ||||
\(892\) | 6.51143 | − | 7.01766i | 0.218019 | − | 0.234969i | ||||
\(893\) | −50.3771 | + | 3.77524i | −1.68580 | + | 0.126334i | ||||
\(894\) | −8.82824 | − | 18.5600i | −0.295260 | − | 0.620738i | ||||
\(895\) | −70.5299 | + | 5.28549i | −2.35756 | + | 0.176674i | ||||
\(896\) | 33.0636 | + | 13.0985i | 1.10458 | + | 0.437591i | ||||
\(897\) | −1.89299 | + | 1.08081i | −0.0632051 | + | 0.0360871i | ||||
\(898\) | −4.44868 | + | 19.4910i | −0.148454 | + | 0.650421i | ||||
\(899\) | −3.09893 | − | 7.89594i | −0.103355 | − | 0.263344i | ||||
\(900\) | 13.7331 | + | 17.5650i | 0.457771 | + | 0.585498i | ||||
\(901\) | 37.2552 | − | 21.5093i | 1.24115 | − | 0.716579i | ||||
\(902\) | −1.95688 | − | 4.98605i | −0.0651570 | − | 0.166017i | ||||
\(903\) | −17.8045 | − | 19.4995i | −0.592496 | − | 0.648901i | ||||
\(904\) | 15.7106 | − | 40.0301i | 0.522528 | − | 1.33138i | ||||
\(905\) | 2.02215 | + | 13.4161i | 0.0672185 | + | 0.445966i | ||||
\(906\) | −24.0244 | + | 41.1529i | −0.798158 | + | 1.36721i | ||||
\(907\) | 10.1315 | + | 6.90757i | 0.336412 | + | 0.229362i | 0.719729 | − | 0.694255i | \(-0.244266\pi\) |
−0.383317 | + | 0.923617i | \(0.625218\pi\) | |||||||
\(908\) | 7.19771 | − | 18.3395i | 0.238864 | − | 0.608616i | ||||
\(909\) | −2.20329 | + | 9.24233i | −0.0730785 | + | 0.306549i | ||||
\(910\) | −2.13337 | − | 3.72251i | −0.0707205 | − | 0.123400i | ||||
\(911\) | −16.1684 | + | 6.34564i | −0.535684 | + | 0.210240i | −0.617733 | − | 0.786388i | \(-0.711949\pi\) |
0.0820493 | + | 0.996628i | \(0.473854\pi\) | |||||||
\(912\) | −32.6709 | + | 22.0451i | −1.08184 | + | 0.729986i | ||||
\(913\) | 6.04133i | 0.199939i | ||||||||
\(914\) | 24.3001 | + | 19.3787i | 0.803776 | + | 0.640990i | ||||
\(915\) | 8.97390 | − | 11.1425i | 0.296668 | − | 0.368360i | ||||
\(916\) | −13.0177 | − | 0.975541i | −0.430117 | − | 0.0322328i | ||||
\(917\) | 45.6026 | − | 21.7819i | 1.50593 | − | 0.719302i | ||||
\(918\) | 36.5997 | + | 34.9561i | 1.20797 | + | 1.15372i | ||||
\(919\) | 4.70280 | + | 0.708833i | 0.155131 | + | 0.0233823i | 0.226149 | − | 0.974093i | \(-0.427387\pi\) |
−0.0710175 | + | 0.997475i | \(0.522625\pi\) | |||||||
\(920\) | 3.11376 | + | 41.5503i | 0.102658 | + | 1.36987i | ||||
\(921\) | −20.4117 | − | 3.17709i | −0.672587 | − | 0.104689i | ||||
\(922\) | −47.3778 | − | 3.55048i | −1.56030 | − | 0.116929i | ||||
\(923\) | −1.63069 | + | 1.51306i | −0.0536749 | + | 0.0498030i | ||||
\(924\) | −1.24377 | − | 1.58552i | −0.0409171 | − | 0.0521596i | ||||
\(925\) | −40.8767 | − | 37.9280i | −1.34402 | − | 1.24706i | ||||
\(926\) | −20.9034 | − | 22.5285i | −0.686929 | − | 0.740333i | ||||
\(927\) | 8.07605 | + | 27.1053i | 0.265252 | + | 0.890256i | ||||
\(928\) | 19.6270 | + | 6.05413i | 0.644288 | + | 0.198736i | ||||
\(929\) | 41.8754 | + | 20.1661i | 1.37389 | + | 0.661629i | 0.967687 | − | 0.252156i | \(-0.0811395\pi\) |
0.406200 | + | 0.913784i | \(0.366854\pi\) | |||||||
\(930\) | −7.84465 | + | 16.0911i | −0.257236 | + | 0.527647i | ||||
\(931\) | 31.5236 | + | 7.40722i | 1.03314 | + | 0.242762i | ||||
\(932\) | 18.3297 | − | 10.5827i | 0.600409 | − | 0.346646i | ||||
\(933\) | −7.37158 | − | 2.93414i | −0.241335 | − | 0.0960595i | ||||
\(934\) | 8.42659 | + | 9.08170i | 0.275726 | + | 0.297162i | ||||
\(935\) | 2.12489 | + | 14.0977i | 0.0694912 | + | 0.461044i | ||||
\(936\) | −1.00527 | + | 1.23598i | −0.0328584 | + | 0.0403994i | ||||
\(937\) | 24.0347 | + | 5.48576i | 0.785179 | + | 0.179212i | 0.596271 | − | 0.802783i | \(-0.296648\pi\) |
0.188908 | + | 0.981995i | \(0.439505\pi\) | |||||||
\(938\) | 11.3399 | + | 12.3001i | 0.370262 | + | 0.401612i | ||||
\(939\) | 33.5417 | − | 10.1697i | 1.09459 | − | 0.331877i | ||||
\(940\) | 2.28996 | − | 30.5574i | 0.0746904 | − | 0.996674i | ||||
\(941\) | 5.05200 | − | 22.1343i | 0.164690 | − | 0.721556i | −0.823372 | − | 0.567502i | \(-0.807910\pi\) |
0.988062 | − | 0.154054i | \(-0.0492330\pi\) | |||||||
\(942\) | −52.8513 | − | 21.0367i | −1.72199 | − | 0.685412i | ||||
\(943\) | 20.7382 | + | 16.5382i | 0.675330 | + | 0.538557i | ||||
\(944\) | −64.4733 | − | 31.0487i | −2.09843 | − | 1.01055i | ||||
\(945\) | −52.7852 | + | 11.0726i | −1.71710 | + | 0.360193i | ||||
\(946\) | 5.25933 | − | 2.53276i | 0.170995 | − | 0.0823471i | ||||
\(947\) | −20.7327 | − | 4.73210i | −0.673722 | − | 0.153773i | −0.128045 | − | 0.991768i | \(-0.540870\pi\) |
−0.545677 | + | 0.837996i | \(0.683727\pi\) | |||||||
\(948\) | 2.62620 | − | 3.81239i | 0.0852951 | − | 0.123821i | ||||
\(949\) | −0.0170745 | −0.000554262 | ||||||||
\(950\) | 39.6036 | − | 68.5955i | 1.28491 | − | 2.22553i | ||||
\(951\) | −1.26760 | − | 0.873198i | −0.0411047 | − | 0.0283154i | ||||
\(952\) | −32.3010 | + | 7.26403i | −1.04688 | + | 0.235428i | ||||
\(953\) | −19.7859 | + | 15.7787i | −0.640929 | + | 0.511123i | −0.889171 | − | 0.457574i | \(-0.848718\pi\) |
0.248243 | + | 0.968698i | \(0.420147\pi\) | |||||||
\(954\) | −34.4791 | + | 10.2731i | −1.11630 | + | 0.332603i | ||||
\(955\) | 9.68377 | + | 0.725698i | 0.313360 | + | 0.0234831i | ||||
\(956\) | −3.19196 | + | 4.68175i | −0.103235 | + | 0.151419i | ||||
\(957\) | 3.82276 | + | 4.15992i | 0.123572 | + | 0.134471i | ||||
\(958\) | 46.8408 | + | 18.3837i | 1.51336 | + | 0.593949i | ||||
\(959\) | 15.4221 | + | 1.20527i | 0.498005 | + | 0.0389202i | ||||
\(960\) | 10.0947 | + | 21.2225i | 0.325805 | + | 0.684953i | ||||
\(961\) | 28.4439 | 0.917545 | ||||||||
\(962\) | −1.10914 | + | 1.92108i | −0.0357600 | + | 0.0619382i | ||||
\(963\) | 0.222303 | − | 23.0987i | 0.00716362 | − | 0.744344i | ||||
\(964\) | 1.44928 | + | 4.69845i | 0.0466781 | + | 0.151327i | ||||
\(965\) | 1.16240 | − | 15.5111i | 0.0374188 | − | 0.499320i | ||||
\(966\) | 35.1528 | + | 14.1223i | 1.13102 | + | 0.454377i | ||||
\(967\) | 3.11287 | + | 41.5384i | 0.100103 | + | 1.33579i | 0.790548 | + | 0.612400i | \(0.209796\pi\) |
−0.690444 | + | 0.723385i | \(0.742585\pi\) | |||||||
\(968\) | 20.9325 | − | 8.21538i | 0.672795 | − | 0.264052i | ||||
\(969\) | 17.5150 | − | 44.0038i | 0.562664 | − | 1.41361i | ||||
\(970\) | −24.1629 | + | 7.45327i | −0.775824 | + | 0.239310i | ||||
\(971\) | −12.0547 | − | 8.21875i | −0.386853 | − | 0.263752i | 0.354239 | − | 0.935155i | \(-0.384740\pi\) |
−0.741093 | + | 0.671403i | \(0.765692\pi\) | |||||||
\(972\) | −6.05741 | − | 9.36075i | −0.194292 | − | 0.300246i | ||||
\(973\) | −10.6564 | + | 4.14311i | −0.341629 | + | 0.132822i | ||||
\(974\) | 25.2367 | − | 27.1987i | 0.808637 | − | 0.871503i | ||||
\(975\) | 1.02580 | − | 4.39668i | 0.0328518 | − | 0.140806i | ||||
\(976\) | −8.09720 | + | 6.45730i | −0.259185 | + | 0.206693i | ||||
\(977\) | 15.7685 | − | 3.59905i | 0.504478 | − | 0.115144i | 0.0372948 | − | 0.999304i | \(-0.488126\pi\) |
0.467183 | + | 0.884160i | \(0.345269\pi\) | |||||||
\(978\) | 41.5949 | − | 6.06487i | 1.33006 | − | 0.193933i | ||||
\(979\) | −0.268068 | − | 0.154769i | −0.00856749 | − | 0.00494644i | ||||
\(980\) | −7.29275 | + | 18.2382i | −0.232958 | + | 0.582597i | ||||
\(981\) | −8.44960 | + | 20.9346i | −0.269775 | + | 0.668389i | ||||
\(982\) | −2.31684 | − | 30.9161i | −0.0739335 | − | 0.986574i | ||||
\(983\) | 1.43229 | − | 1.32897i | 0.0456828 | − | 0.0423875i | −0.657001 | − | 0.753890i | \(-0.728175\pi\) |
0.702684 | + | 0.711502i | \(0.251985\pi\) | |||||||
\(984\) | 18.4978 | + | 5.80344i | 0.589688 | + | 0.185007i | ||||
\(985\) | −3.26639 | + | 10.5894i | −0.104076 | + | 0.337406i | ||||
\(986\) | −49.3798 | + | 15.2317i | −1.57257 | + | 0.485075i | ||||
\(987\) | 43.1376 | + | 25.3681i | 1.37308 | + | 0.807476i | ||||
\(988\) | −0.793146 | − | 0.244653i | −0.0252333 | − | 0.00778346i | ||||
\(989\) | −16.2843 | + | 23.8846i | −0.517810 | + | 0.759488i | ||||
\(990\) | 1.00541 | − | 11.8808i | 0.0319540 | − | 0.377597i | ||||
\(991\) | 29.9885 | − | 20.4458i | 0.952615 | − | 0.649482i | 0.0160114 | − | 0.999872i | \(-0.494903\pi\) |
0.936604 | + | 0.350390i | \(0.113951\pi\) | |||||||
\(992\) | 3.85910 | − | 4.83916i | 0.122527 | − | 0.153644i | ||||
\(993\) | 31.6511 | + | 12.5982i | 1.00442 | + | 0.399793i | ||||
\(994\) | 38.2103 | + | 5.88415i | 1.21196 | + | 0.186634i | ||||
\(995\) | 49.3294 | − | 72.3529i | 1.56385 | − | 2.29374i | ||||
\(996\) | 9.48100 | + | 7.63577i | 0.300417 | + | 0.241949i | ||||
\(997\) | 0.296617 | − | 1.96792i | 0.00939394 | − | 0.0623248i | −0.983643 | − | 0.180131i | \(-0.942348\pi\) |
0.993037 | + | 0.117806i | \(0.0375861\pi\) | |||||||
\(998\) | 9.75133 | + | 5.62993i | 0.308673 | + | 0.178212i | ||||
\(999\) | 18.6696 | + | 20.7128i | 0.590679 | + | 0.655324i |
(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 | 441.2.bn.a.164.13 | yes | 648 | |
9.5 | odd | 6 | 441.2.bd.a.311.42 | yes | 648 | ||
49.26 | odd | 42 | 441.2.bd.a.173.42 | ✓ | 648 | ||
441.320 | even | 42 | inner | 441.2.bn.a.320.13 | yes | 648 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
441.2.bd.a.173.42 | ✓ | 648 | 49.26 | odd | 42 | ||
441.2.bd.a.311.42 | yes | 648 | 9.5 | odd | 6 | ||
441.2.bn.a.164.13 | yes | 648 | 1.1 | even | 1 | trivial | |
441.2.bn.a.320.13 | yes | 648 | 441.320 | even | 42 | inner |