Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [546,2,Mod(31,546)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(546, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 2, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("546.31");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 546.bz (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: | \(4.35983195036\) |
Analytic rank: | \(0\) |
Dimension: | \(40\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 31.4 | ||
Character | \(\chi\) | \(=\) | 546.31 |
Dual form | 546.2.bz.b.229.4 |
$q$-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 \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).
\(n\) | \(157\) | \(365\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(1\) | \(e\left(\frac{3}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.965926 | − | 0.258819i | −0.683013 | − | 0.183013i | ||||
\(3\) | −0.866025 | − | 0.500000i | −0.500000 | − | 0.288675i | ||||
\(4\) | 0.866025 | + | 0.500000i | 0.433013 | + | 0.250000i | ||||
\(5\) | 0.466002 | − | 1.73914i | 0.208402 | − | 0.777769i | −0.779983 | − | 0.625801i | \(-0.784772\pi\) |
0.988385 | − | 0.151968i | \(-0.0485610\pi\) | |||||||
\(6\) | 0.707107 | + | 0.707107i | 0.288675 | + | 0.288675i | ||||
\(7\) | −0.0195352 | + | 2.64568i | −0.00738360 | + | 0.999973i | ||||
\(8\) | −0.707107 | − | 0.707107i | −0.250000 | − | 0.250000i | ||||
\(9\) | 0.500000 | + | 0.866025i | 0.166667 | + | 0.288675i | ||||
\(10\) | −0.900247 | + | 1.55927i | −0.284683 | + | 0.493086i | ||||
\(11\) | −3.06668 | + | 0.821714i | −0.924639 | + | 0.247756i | −0.689567 | − | 0.724222i | \(-0.742199\pi\) |
−0.235072 | + | 0.971978i | \(0.575532\pi\) | |||||||
\(12\) | −0.500000 | − | 0.866025i | −0.144338 | − | 0.250000i | ||||
\(13\) | −2.35673 | + | 2.72871i | −0.653638 | + | 0.756807i | ||||
\(14\) | 0.703622 | − | 2.55047i | 0.188051 | − | 0.681643i | ||||
\(15\) | −1.27314 | + | 1.27314i | −0.328724 | + | 0.328724i | ||||
\(16\) | 0.500000 | + | 0.866025i | 0.125000 | + | 0.216506i | ||||
\(17\) | −0.111696 | + | 0.193463i | −0.0270903 | + | 0.0469217i | −0.879253 | − | 0.476356i | \(-0.841957\pi\) |
0.852162 | + | 0.523277i | \(0.175291\pi\) | |||||||
\(18\) | −0.258819 | − | 0.965926i | −0.0610042 | − | 0.227671i | ||||
\(19\) | 0.205632 | − | 0.767427i | 0.0471751 | − | 0.176060i | −0.938319 | − | 0.345772i | \(-0.887617\pi\) |
0.985494 | + | 0.169712i | \(0.0542838\pi\) | |||||||
\(20\) | 1.27314 | − | 1.27314i | 0.284683 | − | 0.284683i | ||||
\(21\) | 1.33976 | − | 2.28146i | 0.292359 | − | 0.497855i | ||||
\(22\) | 3.17486 | 0.676882 | ||||||||
\(23\) | −2.65409 | + | 1.53234i | −0.553417 | + | 0.319515i | −0.750499 | − | 0.660872i | \(-0.770187\pi\) |
0.197082 | + | 0.980387i | \(0.436853\pi\) | |||||||
\(24\) | 0.258819 | + | 0.965926i | 0.0528312 | + | 0.197169i | ||||
\(25\) | 1.52266 | + | 0.879111i | 0.304533 | + | 0.175822i | ||||
\(26\) | 2.98266 | − | 2.02576i | 0.584949 | − | 0.397285i | ||||
\(27\) | − | 1.00000i | − | 0.192450i | ||||||
\(28\) | −1.33976 | + | 2.28146i | −0.253190 | + | 0.431155i | ||||
\(29\) | 1.94847 | 0.361822 | 0.180911 | − | 0.983499i | \(-0.442095\pi\) | ||||
0.180911 | + | 0.983499i | \(0.442095\pi\) | |||||||
\(30\) | 1.55927 | − | 0.900247i | 0.284683 | − | 0.164362i | ||||
\(31\) | −7.00225 | + | 1.87625i | −1.25764 | + | 0.336984i | −0.825284 | − | 0.564718i | \(-0.808985\pi\) |
−0.432358 | + | 0.901702i | \(0.642318\pi\) | |||||||
\(32\) | −0.258819 | − | 0.965926i | −0.0457532 | − | 0.170753i | ||||
\(33\) | 3.06668 | + | 0.821714i | 0.533840 | + | 0.143042i | ||||
\(34\) | 0.157962 | − | 0.157962i | 0.0270903 | − | 0.0270903i | ||||
\(35\) | 4.59211 | + | 1.26687i | 0.776209 | + | 0.214140i | ||||
\(36\) | 1.00000i | 0.166667i | ||||||||
\(37\) | −1.56149 | + | 5.82755i | −0.256707 | + | 0.958043i | 0.710426 | + | 0.703772i | \(0.248502\pi\) |
−0.967133 | + | 0.254271i | \(0.918164\pi\) | |||||||
\(38\) | −0.397250 | + | 0.688056i | −0.0644424 | + | 0.111617i | ||||
\(39\) | 3.40534 | − | 1.18477i | 0.545291 | − | 0.189714i | ||||
\(40\) | −1.55927 | + | 0.900247i | −0.246543 | + | 0.142342i | ||||
\(41\) | 7.12025 | + | 7.12025i | 1.11200 | + | 1.11200i | 0.992880 | + | 0.119116i | \(0.0380059\pi\) |
0.119116 | + | 0.992880i | \(0.461994\pi\) | |||||||
\(42\) | −1.88459 | + | 1.85696i | −0.290799 | + | 0.286536i | ||||
\(43\) | 11.7777i | 1.79608i | 0.439917 | + | 0.898038i | \(0.355008\pi\) | ||||
−0.439917 | + | 0.898038i | \(0.644992\pi\) | |||||||
\(44\) | −3.06668 | − | 0.821714i | −0.462319 | − | 0.123878i | ||||
\(45\) | 1.73914 | − | 0.466002i | 0.259256 | − | 0.0694675i | ||||
\(46\) | 2.96026 | − | 0.793198i | 0.436466 | − | 0.116951i | ||||
\(47\) | −0.218962 | − | 0.0586707i | −0.0319389 | − | 0.00855800i | 0.242814 | − | 0.970073i | \(-0.421929\pi\) |
−0.274753 | + | 0.961515i | \(0.588596\pi\) | |||||||
\(48\) | − | 1.00000i | − | 0.144338i | ||||||
\(49\) | −6.99924 | − | 0.103368i | −0.999891 | − | 0.0147668i | ||||
\(50\) | −1.24325 | − | 1.24325i | −0.175822 | − | 0.175822i | ||||
\(51\) | 0.193463 | − | 0.111696i | 0.0270903 | − | 0.0156406i | ||||
\(52\) | −3.40534 | + | 1.18477i | −0.472235 | + | 0.164298i | ||||
\(53\) | 0.0417568 | − | 0.0723248i | 0.00573573 | − | 0.00993458i | −0.863143 | − | 0.504959i | \(-0.831508\pi\) |
0.868879 | + | 0.495024i | \(0.164841\pi\) | |||||||
\(54\) | −0.258819 | + | 0.965926i | −0.0352208 | + | 0.131446i | ||||
\(55\) | 5.71632i | 0.770788i | ||||||||
\(56\) | 1.88459 | − | 1.85696i | 0.251839 | − | 0.248147i | ||||
\(57\) | −0.561796 | + | 0.561796i | −0.0744117 | + | 0.0744117i | ||||
\(58\) | −1.88208 | − | 0.504302i | −0.247129 | − | 0.0662181i | ||||
\(59\) | −1.23841 | − | 4.62180i | −0.161227 | − | 0.601708i | −0.998491 | − | 0.0549091i | \(-0.982513\pi\) |
0.837264 | − | 0.546798i | \(-0.184154\pi\) | |||||||
\(60\) | −1.73914 | + | 0.466002i | −0.224522 | + | 0.0601606i | ||||
\(61\) | 5.64039 | − | 3.25648i | 0.722178 | − | 0.416949i | −0.0933761 | − | 0.995631i | \(-0.529766\pi\) |
0.815554 | + | 0.578682i | \(0.196433\pi\) | |||||||
\(62\) | 7.24926 | 0.920657 | ||||||||
\(63\) | −2.30099 | + | 1.30592i | −0.289898 | + | 0.164531i | ||||
\(64\) | 1.00000i | 0.125000i | ||||||||
\(65\) | 3.64737 | + | 5.37027i | 0.452401 | + | 0.666100i | ||||
\(66\) | −2.74951 | − | 1.58743i | −0.338441 | − | 0.195399i | ||||
\(67\) | 0.753079 | + | 2.81053i | 0.0920032 | + | 0.343361i | 0.996548 | − | 0.0830178i | \(-0.0264559\pi\) |
−0.904545 | + | 0.426378i | \(0.859789\pi\) | |||||||
\(68\) | −0.193463 | + | 0.111696i | −0.0234609 | + | 0.0135451i | ||||
\(69\) | 3.06468 | 0.368945 | ||||||||
\(70\) | −4.10775 | − | 2.41223i | −0.490970 | − | 0.288316i | ||||
\(71\) | −8.47774 | + | 8.47774i | −1.00612 | + | 1.00612i | −0.00614143 | + | 0.999981i | \(0.501955\pi\) |
−0.999981 | + | 0.00614143i | \(0.998045\pi\) | |||||||
\(72\) | 0.258819 | − | 0.965926i | 0.0305021 | − | 0.113835i | ||||
\(73\) | −1.28643 | − | 4.80103i | −0.150566 | − | 0.561918i | −0.999444 | − | 0.0333308i | \(-0.989389\pi\) |
0.848879 | − | 0.528588i | \(-0.177278\pi\) | |||||||
\(74\) | 3.01656 | − | 5.22484i | 0.350668 | − | 0.607375i | ||||
\(75\) | −0.879111 | − | 1.52266i | −0.101511 | − | 0.175822i | ||||
\(76\) | 0.561796 | − | 0.561796i | 0.0644424 | − | 0.0644424i | ||||
\(77\) | −2.11408 | − | 8.12950i | −0.240922 | − | 0.926443i | ||||
\(78\) | −3.59594 | + | 0.263030i | −0.407161 | + | 0.0297823i | ||||
\(79\) | 2.88905 | + | 5.00398i | 0.325044 | + | 0.562992i | 0.981521 | − | 0.191353i | \(-0.0612876\pi\) |
−0.656477 | + | 0.754346i | \(0.727954\pi\) | |||||||
\(80\) | 1.73914 | − | 0.466002i | 0.194442 | − | 0.0521006i | ||||
\(81\) | −0.500000 | + | 0.866025i | −0.0555556 | + | 0.0962250i | ||||
\(82\) | −5.03478 | − | 8.72049i | −0.555998 | − | 0.963017i | ||||
\(83\) | 2.38179 | + | 2.38179i | 0.261436 | + | 0.261436i | 0.825637 | − | 0.564201i | \(-0.190816\pi\) |
−0.564201 | + | 0.825637i | \(0.690816\pi\) | |||||||
\(84\) | 2.30099 | − | 1.30592i | 0.251059 | − | 0.142488i | ||||
\(85\) | 0.284410 | + | 0.284410i | 0.0308486 | + | 0.0308486i | ||||
\(86\) | 3.04828 | − | 11.3763i | 0.328705 | − | 1.22674i | ||||
\(87\) | −1.68743 | − | 0.974236i | −0.180911 | − | 0.104449i | ||||
\(88\) | 2.74951 | + | 1.58743i | 0.293099 | + | 0.169221i | ||||
\(89\) | −9.21651 | − | 2.46956i | −0.976948 | − | 0.261772i | −0.265189 | − | 0.964196i | \(-0.585434\pi\) |
−0.711759 | + | 0.702424i | \(0.752101\pi\) | |||||||
\(90\) | −1.80049 | −0.189789 | ||||||||
\(91\) | −7.17324 | − | 6.28845i | −0.751960 | − | 0.659208i | ||||
\(92\) | −3.06468 | −0.319515 | ||||||||
\(93\) | 7.00225 | + | 1.87625i | 0.726100 | + | 0.194558i | ||||
\(94\) | 0.196316 | + | 0.113343i | 0.0202484 | + | 0.0116904i | ||||
\(95\) | −1.23884 | − | 0.715246i | −0.127102 | − | 0.0733826i | ||||
\(96\) | −0.258819 | + | 0.965926i | −0.0264156 | + | 0.0985844i | ||||
\(97\) | 8.45484 | + | 8.45484i | 0.858459 | + | 0.858459i | 0.991157 | − | 0.132697i | \(-0.0423639\pi\) |
−0.132697 | + | 0.991157i | \(0.542364\pi\) | |||||||
\(98\) | 6.73399 | + | 1.91138i | 0.680236 | + | 0.193079i | ||||
\(99\) | −2.24497 | − | 2.24497i | −0.225627 | − | 0.225627i | ||||
\(100\) | 0.879111 | + | 1.52266i | 0.0879111 | + | 0.152266i | ||||
\(101\) | 8.66835 | − | 15.0140i | 0.862533 | − | 1.49395i | −0.00694320 | − | 0.999976i | \(-0.502210\pi\) |
0.869476 | − | 0.493975i | \(-0.164457\pi\) | |||||||
\(102\) | −0.215780 | + | 0.0578181i | −0.0213654 | + | 0.00572485i | ||||
\(103\) | −0.172869 | − | 0.299418i | −0.0170333 | − | 0.0295025i | 0.857383 | − | 0.514679i | \(-0.172089\pi\) |
−0.874416 | + | 0.485176i | \(0.838755\pi\) | |||||||
\(104\) | 3.59594 | − | 0.263030i | 0.352611 | − | 0.0257922i | ||||
\(105\) | −3.34345 | − | 3.39320i | −0.326288 | − | 0.331142i | ||||
\(106\) | −0.0590530 | + | 0.0590530i | −0.00573573 | + | 0.00573573i | ||||
\(107\) | 0.134673 | + | 0.233260i | 0.0130193 | + | 0.0225501i | 0.872462 | − | 0.488683i | \(-0.162522\pi\) |
−0.859442 | + | 0.511233i | \(0.829189\pi\) | |||||||
\(108\) | 0.500000 | − | 0.866025i | 0.0481125 | − | 0.0833333i | ||||
\(109\) | −4.85339 | − | 18.1131i | −0.464870 | − | 1.73492i | −0.657318 | − | 0.753613i | \(-0.728309\pi\) |
0.192448 | − | 0.981307i | \(-0.438357\pi\) | |||||||
\(110\) | 1.47949 | − | 5.52154i | 0.141064 | − | 0.526458i | ||||
\(111\) | 4.26606 | − | 4.26606i | 0.404917 | − | 0.404917i | ||||
\(112\) | −2.30099 | + | 1.30592i | −0.217423 | + | 0.123398i | ||||
\(113\) | −2.10825 | −0.198328 | −0.0991638 | − | 0.995071i | \(-0.531617\pi\) | ||||
−0.0991638 | + | 0.995071i | \(0.531617\pi\) | |||||||
\(114\) | 0.688056 | − | 0.397250i | 0.0644424 | − | 0.0372058i | ||||
\(115\) | 1.42815 | + | 5.32993i | 0.133176 | + | 0.497018i | ||||
\(116\) | 1.68743 | + | 0.974236i | 0.156674 | + | 0.0904556i | ||||
\(117\) | −3.54149 | − | 0.676631i | −0.327411 | − | 0.0625546i | ||||
\(118\) | 4.78484i | 0.440480i | ||||||||
\(119\) | −0.509660 | − | 0.299291i | −0.0467204 | − | 0.0274360i | ||||
\(120\) | 1.80049 | 0.164362 | ||||||||
\(121\) | −0.796971 | + | 0.460131i | −0.0724519 | + | 0.0418301i | ||||
\(122\) | −6.29103 | + | 1.68568i | −0.569563 | + | 0.152614i | ||||
\(123\) | −2.60619 | − | 9.72644i | −0.234992 | − | 0.877004i | ||||
\(124\) | −7.00225 | − | 1.87625i | −0.628821 | − | 0.168492i | ||||
\(125\) | 8.60417 | − | 8.60417i | 0.769581 | − | 0.769581i | ||||
\(126\) | 2.56059 | − | 0.665883i | 0.228115 | − | 0.0593215i | ||||
\(127\) | 2.03102i | 0.180224i | 0.995932 | + | 0.0901120i | \(0.0287225\pi\) | ||||
−0.995932 | + | 0.0901120i | \(0.971278\pi\) | |||||||
\(128\) | 0.258819 | − | 0.965926i | 0.0228766 | − | 0.0853766i | ||||
\(129\) | 5.88883 | − | 10.1998i | 0.518483 | − | 0.898038i | ||||
\(130\) | −2.13317 | − | 6.13129i | −0.187091 | − | 0.537750i | ||||
\(131\) | −4.52771 | + | 2.61408i | −0.395588 | + | 0.228393i | −0.684579 | − | 0.728939i | \(-0.740014\pi\) |
0.288991 | + | 0.957332i | \(0.406680\pi\) | |||||||
\(132\) | 2.24497 | + | 2.24497i | 0.195399 | + | 0.195399i | ||||
\(133\) | 2.02635 | + | 0.559027i | 0.175707 | + | 0.0484738i | ||||
\(134\) | − | 2.90967i | − | 0.251357i | ||||||
\(135\) | −1.73914 | − | 0.466002i | −0.149682 | − | 0.0401071i | ||||
\(136\) | 0.215780 | − | 0.0578181i | 0.0185030 | − | 0.00495786i | ||||
\(137\) | −15.6336 | + | 4.18902i | −1.33567 | + | 0.357892i | −0.854827 | − | 0.518914i | \(-0.826337\pi\) |
−0.480845 | + | 0.876806i | \(0.659670\pi\) | |||||||
\(138\) | −2.96026 | − | 0.793198i | −0.251994 | − | 0.0675215i | ||||
\(139\) | − | 17.2938i | − | 1.46684i | −0.679776 | − | 0.733420i | \(-0.737923\pi\) | ||
0.679776 | − | 0.733420i | \(-0.262077\pi\) | |||||||
\(140\) | 3.34345 | + | 3.39320i | 0.282573 | + | 0.286777i | ||||
\(141\) | 0.160291 | + | 0.160291i | 0.0134990 | + | 0.0134990i | ||||
\(142\) | 10.3831 | − | 5.99467i | 0.871328 | − | 0.503061i | ||||
\(143\) | 4.98511 | − | 10.3046i | 0.416876 | − | 0.861716i | ||||
\(144\) | −0.500000 | + | 0.866025i | −0.0416667 | + | 0.0721688i | ||||
\(145\) | 0.907992 | − | 3.38867i | 0.0754047 | − | 0.281414i | ||||
\(146\) | 4.97039i | 0.411353i | ||||||||
\(147\) | 6.00983 | + | 3.58914i | 0.495683 | + | 0.296027i | ||||
\(148\) | −4.26606 | + | 4.26606i | −0.350668 | + | 0.350668i | ||||
\(149\) | −21.5172 | − | 5.76551i | −1.76276 | − | 0.472329i | −0.775483 | − | 0.631368i | \(-0.782494\pi\) |
−0.987272 | + | 0.159039i | \(0.949160\pi\) | |||||||
\(150\) | 0.455061 | + | 1.69831i | 0.0371556 | + | 0.138667i | ||||
\(151\) | 5.80675 | − | 1.55591i | 0.472546 | − | 0.126618i | −0.0146835 | − | 0.999892i | \(-0.504674\pi\) |
0.487230 | + | 0.873274i | \(0.338007\pi\) | |||||||
\(152\) | −0.688056 | + | 0.397250i | −0.0558087 | + | 0.0322212i | ||||
\(153\) | −0.223392 | −0.0180602 | ||||||||
\(154\) | −0.0620214 | + | 8.39966i | −0.00499783 | + | 0.676864i | ||||
\(155\) | 13.0523i | 1.04838i | ||||||||
\(156\) | 3.54149 | + | 0.676631i | 0.283546 | + | 0.0541739i | ||||
\(157\) | −0.933918 | − | 0.539198i | −0.0745348 | − | 0.0430327i | 0.462269 | − | 0.886740i | \(-0.347035\pi\) |
−0.536804 | + | 0.843707i | \(0.680369\pi\) | |||||||
\(158\) | −1.49548 | − | 5.58122i | −0.118974 | − | 0.444018i | ||||
\(159\) | −0.0723248 | + | 0.0417568i | −0.00573573 | + | 0.00331153i | ||||
\(160\) | −1.80049 | −0.142342 | ||||||||
\(161\) | −4.00224 | − | 7.05182i | −0.315420 | − | 0.555761i | ||||
\(162\) | 0.707107 | − | 0.707107i | 0.0555556 | − | 0.0555556i | ||||
\(163\) | 2.19931 | − | 8.20793i | 0.172263 | − | 0.642894i | −0.824739 | − | 0.565514i | \(-0.808678\pi\) |
0.997002 | − | 0.0773803i | \(-0.0246556\pi\) | |||||||
\(164\) | 2.60619 | + | 9.72644i | 0.203509 | + | 0.759507i | ||||
\(165\) | 2.85816 | − | 4.95048i | 0.222507 | − | 0.385394i | ||||
\(166\) | −1.68418 | − | 2.91709i | −0.130718 | − | 0.226410i | ||||
\(167\) | −12.2305 | + | 12.2305i | −0.946423 | + | 0.946423i | −0.998636 | − | 0.0522134i | \(-0.983372\pi\) |
0.0522134 | + | 0.998636i | \(0.483372\pi\) | |||||||
\(168\) | −2.56059 | + | 0.665883i | −0.197553 | + | 0.0513740i | ||||
\(169\) | −1.89168 | − | 12.8616i | −0.145514 | − | 0.989356i | ||||
\(170\) | −0.201108 | − | 0.348329i | −0.0154243 | − | 0.0267156i | ||||
\(171\) | 0.767427 | − | 0.205632i | 0.0586866 | − | 0.0157250i | ||||
\(172\) | −5.88883 | + | 10.1998i | −0.449019 | + | 0.777724i | ||||
\(173\) | −5.15587 | − | 8.93022i | −0.391993 | − | 0.678952i | 0.600719 | − | 0.799460i | \(-0.294881\pi\) |
−0.992712 | + | 0.120508i | \(0.961548\pi\) | |||||||
\(174\) | 1.37778 | + | 1.37778i | 0.104449 | + | 0.104449i | ||||
\(175\) | −2.35559 | + | 4.01131i | −0.178066 | + | 0.303226i | ||||
\(176\) | −2.24497 | − | 2.24497i | −0.169221 | − | 0.169221i | ||||
\(177\) | −1.23841 | + | 4.62180i | −0.0930845 | + | 0.347396i | ||||
\(178\) | 8.26330 | + | 4.77082i | 0.619360 | + | 0.357588i | ||||
\(179\) | 12.2977 | + | 7.10010i | 0.919176 | + | 0.530686i | 0.883372 | − | 0.468673i | \(-0.155268\pi\) |
0.0358037 | + | 0.999359i | \(0.488601\pi\) | |||||||
\(180\) | 1.73914 | + | 0.466002i | 0.129628 | + | 0.0347337i | ||||
\(181\) | 21.6559 | 1.60967 | 0.804836 | − | 0.593497i | \(-0.202253\pi\) | ||||
0.804836 | + | 0.593497i | \(0.202253\pi\) | |||||||
\(182\) | 5.30125 | + | 7.93075i | 0.392955 | + | 0.587866i | ||||
\(183\) | −6.51296 | −0.481452 | ||||||||
\(184\) | 2.96026 | + | 0.793198i | 0.218233 | + | 0.0584754i | ||||
\(185\) | 9.40729 | + | 5.43130i | 0.691638 | + | 0.399317i | ||||
\(186\) | −6.27805 | − | 3.62463i | −0.460329 | − | 0.265771i | ||||
\(187\) | 0.183564 | − | 0.685072i | 0.0134236 | − | 0.0500974i | ||||
\(188\) | −0.160291 | − | 0.160291i | −0.0116904 | − | 0.0116904i | ||||
\(189\) | 2.64568 | + | 0.0195352i | 0.192445 | + | 0.00142097i | ||||
\(190\) | 1.01151 | + | 1.01151i | 0.0733826 | + | 0.0733826i | ||||
\(191\) | −3.13759 | − | 5.43447i | −0.227028 | − | 0.393224i | 0.729898 | − | 0.683556i | \(-0.239568\pi\) |
−0.956926 | + | 0.290332i | \(0.906234\pi\) | |||||||
\(192\) | 0.500000 | − | 0.866025i | 0.0360844 | − | 0.0625000i | ||||
\(193\) | −7.72155 | + | 2.06898i | −0.555810 | + | 0.148929i | −0.525781 | − | 0.850620i | \(-0.676227\pi\) |
−0.0300292 | + | 0.999549i | \(0.509560\pi\) | |||||||
\(194\) | −5.97848 | − | 10.3550i | −0.429230 | − | 0.743447i | ||||
\(195\) | −0.473584 | − | 6.47448i | −0.0339141 | − | 0.463647i | ||||
\(196\) | −6.00983 | − | 3.58914i | −0.429274 | − | 0.256367i | ||||
\(197\) | −18.2543 | + | 18.2543i | −1.30056 | + | 1.30056i | −0.372553 | + | 0.928011i | \(0.621518\pi\) |
−0.928011 | + | 0.372553i | \(0.878482\pi\) | |||||||
\(198\) | 1.58743 | + | 2.74951i | 0.112814 | + | 0.195399i | ||||
\(199\) | −11.4624 | + | 19.8534i | −0.812547 | + | 1.40737i | 0.0985296 | + | 0.995134i | \(0.468586\pi\) |
−0.911076 | + | 0.412238i | \(0.864747\pi\) | |||||||
\(200\) | −0.455061 | − | 1.69831i | −0.0321777 | − | 0.120089i | ||||
\(201\) | 0.753079 | − | 2.81053i | 0.0531181 | − | 0.198239i | ||||
\(202\) | −12.2589 | + | 12.2589i | −0.862533 | + | 0.862533i | ||||
\(203\) | −0.0380637 | + | 5.15503i | −0.00267155 | + | 0.361812i | ||||
\(204\) | 0.223392 | 0.0156406 | ||||||||
\(205\) | 15.7012 | − | 9.06508i | 1.09662 | − | 0.633133i | ||||
\(206\) | 0.0894836 | + | 0.333957i | 0.00623462 | + | 0.0232679i | ||||
\(207\) | −2.65409 | − | 1.53234i | −0.184472 | − | 0.106505i | ||||
\(208\) | −3.54149 | − | 0.676631i | −0.245558 | − | 0.0469159i | ||||
\(209\) | 2.52242i | 0.174480i | ||||||||
\(210\) | 2.35130 | + | 4.14292i | 0.162255 | + | 0.285889i | ||||
\(211\) | −0.357942 | −0.0246417 | −0.0123209 | − | 0.999924i | \(-0.503922\pi\) | ||||
−0.0123209 | + | 0.999924i | \(0.503922\pi\) | |||||||
\(212\) | 0.0723248 | − | 0.0417568i | 0.00496729 | − | 0.00286787i | ||||
\(213\) | 11.5808 | − | 3.10307i | 0.793504 | − | 0.212619i | ||||
\(214\) | −0.0697118 | − | 0.260168i | −0.00476540 | − | 0.0177847i | ||||
\(215\) | 20.4830 | + | 5.48842i | 1.39693 | + | 0.374307i | ||||
\(216\) | −0.707107 | + | 0.707107i | −0.0481125 | + | 0.0481125i | ||||
\(217\) | −4.82716 | − | 18.5624i | −0.327689 | − | 1.26010i | ||||
\(218\) | 18.7521i | 1.27005i | ||||||||
\(219\) | −1.28643 | + | 4.80103i | −0.0869291 | + | 0.324424i | ||||
\(220\) | −2.85816 | + | 4.95048i | −0.192697 | + | 0.333761i | ||||
\(221\) | −0.264667 | − | 0.760726i | −0.0178035 | − | 0.0511719i | ||||
\(222\) | −5.22484 | + | 3.01656i | −0.350668 | + | 0.202458i | ||||
\(223\) | 11.6892 | + | 11.6892i | 0.782765 | + | 0.782765i | 0.980297 | − | 0.197532i | \(-0.0632925\pi\) |
−0.197532 | + | 0.980297i | \(0.563292\pi\) | |||||||
\(224\) | 2.56059 | − | 0.665883i | 0.171086 | − | 0.0444912i | ||||
\(225\) | 1.75822i | 0.117215i | ||||||||
\(226\) | 2.03641 | + | 0.545656i | 0.135460 | + | 0.0362965i | ||||
\(227\) | 5.48817 | − | 1.47055i | 0.364262 | − | 0.0976038i | −0.0720453 | − | 0.997401i | \(-0.522953\pi\) |
0.436308 | + | 0.899798i | \(0.356286\pi\) | |||||||
\(228\) | −0.767427 | + | 0.205632i | −0.0508241 | + | 0.0136183i | ||||
\(229\) | 18.5532 | + | 4.97132i | 1.22603 | + | 0.328514i | 0.813033 | − | 0.582217i | \(-0.197815\pi\) |
0.412999 | + | 0.910732i | \(0.364481\pi\) | |||||||
\(230\) | − | 5.51794i | − | 0.363842i | ||||||
\(231\) | −2.23390 | + | 8.09740i | −0.146980 | + | 0.532770i | ||||
\(232\) | −1.37778 | − | 1.37778i | −0.0904556 | − | 0.0904556i | ||||
\(233\) | 9.32849 | − | 5.38580i | 0.611129 | − | 0.352836i | −0.162278 | − | 0.986745i | \(-0.551884\pi\) |
0.773407 | + | 0.633909i | \(0.218551\pi\) | |||||||
\(234\) | 3.24569 | + | 1.57018i | 0.212178 | + | 0.102646i | ||||
\(235\) | −0.204073 | + | 0.353466i | −0.0133123 | + | 0.0230576i | ||||
\(236\) | 1.23841 | − | 4.62180i | 0.0806135 | − | 0.300854i | ||||
\(237\) | − | 5.77810i | − | 0.375328i | ||||||
\(238\) | 0.414831 | + | 0.421003i | 0.0268895 | + | 0.0272896i | ||||
\(239\) | 3.09622 | − | 3.09622i | 0.200278 | − | 0.200278i | −0.599841 | − | 0.800119i | \(-0.704770\pi\) |
0.800119 | + | 0.599841i | \(0.204770\pi\) | |||||||
\(240\) | −1.73914 | − | 0.466002i | −0.112261 | − | 0.0300803i | ||||
\(241\) | −5.09930 | − | 19.0309i | −0.328475 | − | 1.22589i | −0.910772 | − | 0.412909i | \(-0.864513\pi\) |
0.582297 | − | 0.812976i | \(-0.302154\pi\) | |||||||
\(242\) | 0.888905 | − | 0.238181i | 0.0571410 | − | 0.0153109i | ||||
\(243\) | 0.866025 | − | 0.500000i | 0.0555556 | − | 0.0320750i | ||||
\(244\) | 6.51296 | 0.416949 | ||||||||
\(245\) | −3.44143 | + | 12.1245i | −0.219865 | + | 0.774606i | ||||
\(246\) | 10.0696i | 0.642011i | ||||||||
\(247\) | 1.60947 | + | 2.36972i | 0.102408 | + | 0.150782i | ||||
\(248\) | 6.27805 | + | 3.62463i | 0.398656 | + | 0.230164i | ||||
\(249\) | −0.871797 | − | 3.25359i | −0.0552479 | − | 0.206188i | ||||
\(250\) | −10.5379 | + | 6.08407i | −0.666476 | + | 0.384790i | ||||
\(251\) | 9.94217 | 0.627544 | 0.313772 | − | 0.949498i | \(-0.398407\pi\) | ||||
0.313772 | + | 0.949498i | \(0.398407\pi\) | |||||||
\(252\) | −2.64568 | − | 0.0195352i | −0.166662 | − | 0.00123060i | ||||
\(253\) | 6.88011 | − | 6.88011i | 0.432549 | − | 0.432549i | ||||
\(254\) | 0.525667 | − | 1.96182i | 0.0329833 | − | 0.123095i | ||||
\(255\) | −0.104101 | − | 0.388511i | −0.00651907 | − | 0.0243295i | ||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | 12.3991 | + | 21.4758i | 0.773432 | + | 1.33962i | 0.935672 | + | 0.352872i | \(0.114795\pi\) |
−0.162240 | + | 0.986751i | \(0.551872\pi\) | |||||||
\(258\) | −8.32807 | + | 8.32807i | −0.518483 | + | 0.518483i | ||||
\(259\) | −15.3873 | − | 4.24504i | −0.956122 | − | 0.263774i | ||||
\(260\) | 0.473584 | + | 6.47448i | 0.0293704 | + | 0.401530i | ||||
\(261\) | 0.974236 | + | 1.68743i | 0.0603037 | + | 0.104449i | ||||
\(262\) | 5.05001 | − | 1.35314i | 0.311990 | − | 0.0835976i | ||||
\(263\) | 5.98709 | − | 10.3699i | 0.369180 | − | 0.639438i | −0.620258 | − | 0.784398i | \(-0.712972\pi\) |
0.989438 | + | 0.144960i | \(0.0463053\pi\) | |||||||
\(264\) | −1.58743 | − | 2.74951i | −0.0976996 | − | 0.169221i | ||||
\(265\) | −0.106325 | − | 0.106325i | −0.00653146 | − | 0.00653146i | ||||
\(266\) | −1.81262 | − | 1.06444i | −0.111139 | − | 0.0652648i | ||||
\(267\) | 6.74695 | + | 6.74695i | 0.412907 | + | 0.412907i | ||||
\(268\) | −0.753079 | + | 2.81053i | −0.0460016 | + | 0.171680i | ||||
\(269\) | −4.24198 | − | 2.44911i | −0.258638 | − | 0.149325i | 0.365075 | − | 0.930978i | \(-0.381043\pi\) |
−0.623713 | + | 0.781653i | \(0.714377\pi\) | |||||||
\(270\) | 1.55927 | + | 0.900247i | 0.0948944 | + | 0.0547873i | ||||
\(271\) | −18.8780 | − | 5.05835i | −1.14676 | − | 0.307273i | −0.365093 | − | 0.930971i | \(-0.618963\pi\) |
−0.781666 | + | 0.623698i | \(0.785630\pi\) | |||||||
\(272\) | −0.223392 | −0.0135451 | ||||||||
\(273\) | 3.06799 | + | 9.03258i | 0.185683 | + | 0.546676i | ||||
\(274\) | 16.1851 | 0.977779 | ||||||||
\(275\) | −5.39190 | − | 1.44476i | −0.325144 | − | 0.0871220i | ||||
\(276\) | 2.65409 | + | 1.53234i | 0.159758 | + | 0.0922361i | ||||
\(277\) | 19.4967 | + | 11.2564i | 1.17144 | + | 0.676332i | 0.954019 | − | 0.299745i | \(-0.0969017\pi\) |
0.217422 | + | 0.976078i | \(0.430235\pi\) | |||||||
\(278\) | −4.47596 | + | 16.7045i | −0.268450 | + | 1.00187i | ||||
\(279\) | −5.12600 | − | 5.12600i | −0.306886 | − | 0.306886i | ||||
\(280\) | −2.35130 | − | 4.14292i | −0.140517 | − | 0.247587i | ||||
\(281\) | 12.6136 | + | 12.6136i | 0.752467 | + | 0.752467i | 0.974939 | − | 0.222472i | \(-0.0714127\pi\) |
−0.222472 | + | 0.974939i | \(0.571413\pi\) | |||||||
\(282\) | −0.113343 | − | 0.196316i | −0.00674948 | − | 0.0116904i | ||||
\(283\) | 0.872513 | − | 1.51124i | 0.0518655 | − | 0.0898337i | −0.838927 | − | 0.544244i | \(-0.816817\pi\) |
0.890793 | + | 0.454410i | \(0.150150\pi\) | |||||||
\(284\) | −11.5808 | + | 3.10307i | −0.687194 | + | 0.184133i | ||||
\(285\) | 0.715246 | + | 1.23884i | 0.0423675 | + | 0.0733826i | ||||
\(286\) | −7.48228 | + | 8.66326i | −0.442436 | + | 0.512270i | ||||
\(287\) | −18.9770 | + | 18.6988i | −1.12018 | + | 1.10376i | ||||
\(288\) | 0.707107 | − | 0.707107i | 0.0416667 | − | 0.0416667i | ||||
\(289\) | 8.47505 | + | 14.6792i | 0.498532 | + | 0.863483i | ||||
\(290\) | −1.75411 | + | 3.03820i | −0.103005 | + | 0.178409i | ||||
\(291\) | −3.09469 | − | 11.5495i | −0.181414 | − | 0.677045i | ||||
\(292\) | 1.28643 | − | 4.80103i | 0.0752828 | − | 0.280959i | ||||
\(293\) | −20.0462 | + | 20.0462i | −1.17111 | + | 1.17111i | −0.189170 | + | 0.981944i | \(0.560580\pi\) |
−0.981944 | + | 0.189170i | \(0.939420\pi\) | |||||||
\(294\) | −4.87612 | − | 5.02230i | −0.284381 | − | 0.292906i | ||||
\(295\) | −8.61508 | −0.501589 | ||||||||
\(296\) | 5.22484 | − | 3.01656i | 0.303688 | − | 0.175334i | ||||
\(297\) | 0.821714 | + | 3.06668i | 0.0476807 | + | 0.177947i | ||||
\(298\) | 19.2918 | + | 11.1381i | 1.11754 | + | 0.645213i | ||||
\(299\) | 2.07366 | − | 10.8536i | 0.119923 | − | 0.627677i | ||||
\(300\) | − | 1.75822i | − | 0.101511i | ||||||
\(301\) | −31.1599 | − | 0.230079i | −1.79603 | − | 0.0132615i | ||||
\(302\) | −6.01159 | −0.345928 | ||||||||
\(303\) | −15.0140 | + | 8.66835i | −0.862533 | + | 0.497984i | ||||
\(304\) | 0.767427 | − | 0.205632i | 0.0440150 | − | 0.0117938i | ||||
\(305\) | −3.03505 | − | 11.3270i | −0.173787 | − | 0.648580i | ||||
\(306\) | 0.215780 | + | 0.0578181i | 0.0123353 | + | 0.00330524i | ||||
\(307\) | 8.60761 | − | 8.60761i | 0.491262 | − | 0.491262i | −0.417442 | − | 0.908704i | \(-0.637073\pi\) |
0.908704 | + | 0.417442i | \(0.137073\pi\) | |||||||
\(308\) | 2.23390 | − | 8.09740i | 0.127288 | − | 0.461392i | ||||
\(309\) | 0.345738i | 0.0196683i | ||||||||
\(310\) | 3.37817 | − | 12.6075i | 0.191867 | − | 0.716059i | ||||
\(311\) | 1.72235 | − | 2.98320i | 0.0976655 | − | 0.169162i | −0.813052 | − | 0.582190i | \(-0.802196\pi\) |
0.910718 | + | 0.413029i | \(0.135529\pi\) | |||||||
\(312\) | −3.24569 | − | 1.57018i | −0.183751 | − | 0.0888940i | ||||
\(313\) | 8.77092 | − | 5.06389i | 0.495762 | − | 0.286228i | −0.231200 | − | 0.972906i | \(-0.574265\pi\) |
0.726962 | + | 0.686678i | \(0.240932\pi\) | |||||||
\(314\) | 0.762541 | + | 0.762541i | 0.0430327 | + | 0.0430327i | ||||
\(315\) | 1.19892 | + | 4.61032i | 0.0675514 | + | 0.259762i | ||||
\(316\) | 5.77810i | 0.325044i | ||||||||
\(317\) | −11.9496 | − | 3.20189i | −0.671158 | − | 0.179836i | −0.0928814 | − | 0.995677i | \(-0.529608\pi\) |
−0.578276 | + | 0.815841i | \(0.696274\pi\) | |||||||
\(318\) | 0.0806679 | − | 0.0216149i | 0.00452363 | − | 0.00121210i | ||||
\(319\) | −5.97534 | + | 1.60109i | −0.334555 | + | 0.0896437i | ||||
\(320\) | 1.73914 | + | 0.466002i | 0.0972211 | + | 0.0260503i | ||||
\(321\) | − | 0.269346i | − | 0.0150334i | ||||||
\(322\) | 2.04072 | + | 7.84739i | 0.113725 | + | 0.437318i | ||||
\(323\) | 0.125501 | + | 0.125501i | 0.00698305 | + | 0.00698305i | ||||
\(324\) | −0.866025 | + | 0.500000i | −0.0481125 | + | 0.0277778i | ||||
\(325\) | −5.98734 | + | 2.08308i | −0.332118 | + | 0.115549i | ||||
\(326\) | −4.24874 | + | 7.35903i | −0.235316 | + | 0.407579i | ||||
\(327\) | −4.85339 | + | 18.1131i | −0.268393 | + | 1.00166i | ||||
\(328\) | − | 10.0696i | − | 0.555998i | ||||||
\(329\) | 0.159501 | − | 0.578157i | 0.00879359 | − | 0.0318748i | ||||
\(330\) | −4.04205 | + | 4.04205i | −0.222507 | + | 0.222507i | ||||
\(331\) | −24.1448 | − | 6.46959i | −1.32712 | − | 0.355601i | −0.475479 | − | 0.879727i | \(-0.657725\pi\) |
−0.851640 | + | 0.524127i | \(0.824392\pi\) | |||||||
\(332\) | 0.871797 | + | 3.25359i | 0.0478461 | + | 0.178564i | ||||
\(333\) | −5.82755 | + | 1.56149i | −0.319348 | + | 0.0855690i | ||||
\(334\) | 14.9792 | − | 8.64825i | 0.819626 | − | 0.473211i | ||||
\(335\) | 5.23885 | 0.286229 | ||||||||
\(336\) | 2.64568 | + | 0.0195352i | 0.144334 | + | 0.00106573i | ||||
\(337\) | − | 3.20762i | − | 0.174730i | −0.996176 | − | 0.0873650i | \(-0.972155\pi\) | ||
0.996176 | − | 0.0873650i | \(-0.0278446\pi\) | |||||||
\(338\) | −1.50161 | + | 12.9130i | −0.0816767 | + | 0.702374i | ||||
\(339\) | 1.82580 | + | 1.05413i | 0.0991638 | + | 0.0572523i | ||||
\(340\) | 0.104101 | + | 0.388511i | 0.00564568 | + | 0.0210700i | ||||
\(341\) | 19.9319 | − | 11.5077i | 1.07937 | − | 0.623177i | ||||
\(342\) | −0.794499 | −0.0429616 | ||||||||
\(343\) | 0.410209 | − | 18.5157i | 0.0221492 | − | 0.999755i | ||||
\(344\) | 8.32807 | − | 8.32807i | 0.449019 | − | 0.449019i | ||||
\(345\) | 1.42815 | − | 5.32993i | 0.0768890 | − | 0.286954i | ||||
\(346\) | 2.66887 | + | 9.96037i | 0.143480 | + | 0.535473i | ||||
\(347\) | −12.6696 | + | 21.9443i | −0.680138 | + | 1.17803i | 0.294800 | + | 0.955559i | \(0.404747\pi\) |
−0.974938 | + | 0.222475i | \(0.928586\pi\) | |||||||
\(348\) | −0.974236 | − | 1.68743i | −0.0522246 | − | 0.0904556i | ||||
\(349\) | 6.74898 | − | 6.74898i | 0.361265 | − | 0.361265i | −0.503014 | − | 0.864278i | \(-0.667776\pi\) |
0.864278 | + | 0.503014i | \(0.167776\pi\) | |||||||
\(350\) | 3.31353 | − | 3.26495i | 0.177116 | − | 0.174519i | ||||
\(351\) | 2.72871 | + | 2.35673i | 0.145648 | + | 0.125793i | ||||
\(352\) | 1.58743 | + | 2.74951i | 0.0846103 | + | 0.146549i | ||||
\(353\) | −4.83670 | + | 1.29599i | −0.257431 | + | 0.0689785i | −0.385226 | − | 0.922822i | \(-0.625877\pi\) |
0.127795 | + | 0.991801i | \(0.459210\pi\) | |||||||
\(354\) | 2.39242 | − | 4.14380i | 0.127156 | − | 0.220240i | ||||
\(355\) | 10.7934 | + | 18.6947i | 0.572852 | + | 0.992209i | ||||
\(356\) | −6.74695 | − | 6.74695i | −0.357588 | − | 0.357588i | ||||
\(357\) | 0.291733 | + | 0.514024i | 0.0154401 | + | 0.0272050i | ||||
\(358\) | −10.0411 | − | 10.0411i | −0.530686 | − | 0.530686i | ||||
\(359\) | 0.349207 | − | 1.30326i | 0.0184304 | − | 0.0687833i | −0.956098 | − | 0.293047i | \(-0.905331\pi\) |
0.974529 | + | 0.224263i | \(0.0719976\pi\) | |||||||
\(360\) | −1.55927 | − | 0.900247i | −0.0821809 | − | 0.0474472i | ||||
\(361\) | 15.9078 | + | 9.18439i | 0.837254 | + | 0.483389i | ||||
\(362\) | −20.9180 | − | 5.60497i | −1.09943 | − | 0.294591i | ||||
\(363\) | 0.920262 | 0.0483013 | ||||||||
\(364\) | −3.06799 | − | 9.03258i | −0.160806 | − | 0.473436i | ||||
\(365\) | −8.94917 | −0.468421 | ||||||||
\(366\) | 6.29103 | + | 1.68568i | 0.328838 | + | 0.0881118i | ||||
\(367\) | 2.58864 | + | 1.49455i | 0.135126 | + | 0.0780150i | 0.566039 | − | 0.824378i | \(-0.308475\pi\) |
−0.430913 | + | 0.902393i | \(0.641808\pi\) | |||||||
\(368\) | −2.65409 | − | 1.53234i | −0.138354 | − | 0.0798788i | ||||
\(369\) | −2.60619 | + | 9.72644i | −0.135673 | + | 0.506338i | ||||
\(370\) | −7.68102 | − | 7.68102i | −0.399317 | − | 0.399317i | ||||
\(371\) | 0.190533 | + | 0.111888i | 0.00989196 | + | 0.00580893i | ||||
\(372\) | 5.12600 | + | 5.12600i | 0.265771 | + | 0.265771i | ||||
\(373\) | 7.22112 | + | 12.5073i | 0.373895 | + | 0.647606i | 0.990161 | − | 0.139933i | \(-0.0446886\pi\) |
−0.616266 | + | 0.787538i | \(0.711355\pi\) | |||||||
\(374\) | −0.354619 | + | 0.614219i | −0.0183369 | + | 0.0317605i | ||||
\(375\) | −11.7535 | + | 3.14935i | −0.606949 | + | 0.162632i | ||||
\(376\) | 0.113343 | + | 0.196316i | 0.00584522 | + | 0.0101242i | ||||
\(377\) | −4.59202 | + | 5.31681i | −0.236501 | + | 0.273830i | ||||
\(378\) | −2.55047 | − | 0.703622i | −0.131182 | − | 0.0361904i | ||||
\(379\) | 16.0441 | − | 16.0441i | 0.824130 | − | 0.824130i | −0.162568 | − | 0.986697i | \(-0.551978\pi\) |
0.986697 | + | 0.162568i | \(0.0519776\pi\) | |||||||
\(380\) | −0.715246 | − | 1.23884i | −0.0366913 | − | 0.0635512i | ||||
\(381\) | 1.01551 | − | 1.75892i | 0.0520262 | − | 0.0901120i | ||||
\(382\) | 1.62414 | + | 6.06136i | 0.0830980 | + | 0.310126i | ||||
\(383\) | 7.16979 | − | 26.7580i | 0.366359 | − | 1.36727i | −0.499210 | − | 0.866481i | \(-0.666376\pi\) |
0.865569 | − | 0.500790i | \(-0.166957\pi\) | |||||||
\(384\) | −0.707107 | + | 0.707107i | −0.0360844 | + | 0.0360844i | ||||
\(385\) | −15.1235 | − | 0.111669i | −0.770767 | − | 0.00569119i | ||||
\(386\) | 7.99394 | 0.406881 | ||||||||
\(387\) | −10.1998 | + | 5.88883i | −0.518483 | + | 0.299346i | ||||
\(388\) | 3.09469 | + | 11.5495i | 0.157109 | + | 0.586339i | ||||
\(389\) | 5.73080 | + | 3.30868i | 0.290563 | + | 0.167757i | 0.638196 | − | 0.769874i | \(-0.279681\pi\) |
−0.347633 | + | 0.937631i | \(0.613014\pi\) | |||||||
\(390\) | −1.21827 | + | 6.37644i | −0.0616895 | + | 0.322883i | ||||
\(391\) | − | 0.684626i | − | 0.0346230i | ||||||
\(392\) | 4.87612 | + | 5.02230i | 0.246281 | + | 0.253664i | ||||
\(393\) | 5.22815 | 0.263725 | ||||||||
\(394\) | 22.3568 | − | 12.9077i | 1.12632 | − | 0.650282i | ||||
\(395\) | 10.0490 | − | 2.69261i | 0.505618 | − | 0.135480i | ||||
\(396\) | −0.821714 | − | 3.06668i | −0.0412927 | − | 0.154106i | ||||
\(397\) | −21.6404 | − | 5.79852i | −1.08610 | − | 0.291019i | −0.329007 | − | 0.944328i | \(-0.606714\pi\) |
−0.757092 | + | 0.653308i | \(0.773380\pi\) | |||||||
\(398\) | 16.2103 | − | 16.2103i | 0.812547 | − | 0.812547i | ||||
\(399\) | −1.47536 | − | 1.49731i | −0.0738602 | − | 0.0749591i | ||||
\(400\) | 1.75822i | 0.0879111i | ||||||||
\(401\) | −8.06709 | + | 30.1068i | −0.402851 | + | 1.50346i | 0.405133 | + | 0.914258i | \(0.367225\pi\) |
−0.807985 | + | 0.589204i | \(0.799442\pi\) | |||||||
\(402\) | −1.45484 | + | 2.51985i | −0.0725606 | + | 0.125679i | ||||
\(403\) | 11.3827 | − | 23.5289i | 0.567011 | − | 1.17206i | ||||
\(404\) | 15.0140 | − | 8.66835i | 0.746975 | − | 0.431266i | ||||
\(405\) | 1.27314 | + | 1.27314i | 0.0632629 | + | 0.0632629i | ||||
\(406\) | 1.37099 | − | 4.96953i | 0.0680410 | − | 0.246634i | ||||
\(407\) | − | 19.1543i | − | 0.949445i | ||||||
\(408\) | −0.215780 | − | 0.0578181i | −0.0106827 | − | 0.00286242i | ||||
\(409\) | 17.4925 | − | 4.68709i | 0.864946 | − | 0.231762i | 0.201045 | − | 0.979582i | \(-0.435566\pi\) |
0.663901 | + | 0.747820i | \(0.268900\pi\) | |||||||
\(410\) | −17.5124 | + | 4.69243i | −0.864876 | + | 0.231743i | ||||
\(411\) | 15.6336 | + | 4.18902i | 0.771150 | + | 0.206629i | ||||
\(412\) | − | 0.345738i | − | 0.0170333i | ||||||
\(413\) | 12.2520 | − | 3.18614i | 0.602882 | − | 0.156780i | ||||
\(414\) | 2.16706 | + | 2.16706i | 0.106505 | + | 0.106505i | ||||
\(415\) | 5.25220 | − | 3.03236i | 0.257820 | − | 0.148853i | ||||
\(416\) | 3.24569 | + | 1.57018i | 0.159133 | + | 0.0769845i | ||||
\(417\) | −8.64690 | + | 14.9769i | −0.423440 | + | 0.733420i | ||||
\(418\) | 0.652851 | − | 2.43647i | 0.0319320 | − | 0.119172i | ||||
\(419\) | − | 26.9996i | − | 1.31902i | −0.751697 | − | 0.659508i | \(-0.770764\pi\) | ||
0.751697 | − | 0.659508i | \(-0.229236\pi\) | |||||||
\(420\) | −1.19892 | − | 4.61032i | −0.0585012 | − | 0.224961i | ||||
\(421\) | 22.4347 | − | 22.4347i | 1.09340 | − | 1.09340i | 0.0982373 | − | 0.995163i | \(-0.468680\pi\) |
0.995163 | − | 0.0982373i | \(-0.0313204\pi\) | |||||||
\(422\) | 0.345745 | + | 0.0926421i | 0.0168306 | + | 0.00450975i | ||||
\(423\) | −0.0586707 | − | 0.218962i | −0.00285267 | − | 0.0106463i | ||||
\(424\) | −0.0806679 | + | 0.0216149i | −0.00391758 | + | 0.00104971i | ||||
\(425\) | −0.340151 | + | 0.196386i | −0.0164998 | + | 0.00952614i | ||||
\(426\) | −11.9893 | −0.580885 | ||||||||
\(427\) | 8.50541 | + | 14.9863i | 0.411606 | + | 0.725236i | ||||
\(428\) | 0.269346i | 0.0130193i | ||||||||
\(429\) | −9.46954 | + | 6.43151i | −0.457194 | + | 0.310516i | ||||
\(430\) | −18.3646 | − | 10.6028i | −0.885620 | − | 0.511313i | ||||
\(431\) | 4.32782 | + | 16.1516i | 0.208464 | + | 0.777998i | 0.988366 | + | 0.152096i | \(0.0486022\pi\) |
−0.779902 | + | 0.625902i | \(0.784731\pi\) | |||||||
\(432\) | 0.866025 | − | 0.500000i | 0.0416667 | − | 0.0240563i | ||||
\(433\) | 29.7090 | 1.42772 | 0.713861 | − | 0.700288i | \(-0.246945\pi\) | ||||
0.713861 | + | 0.700288i | \(0.246945\pi\) | |||||||
\(434\) | −0.141616 | + | 19.1792i | −0.00679777 | + | 0.920632i | ||||
\(435\) | −2.48068 | + | 2.48068i | −0.118940 | + | 0.118940i | ||||
\(436\) | 4.85339 | − | 18.1131i | 0.232435 | − | 0.867460i | ||||
\(437\) | 0.630196 | + | 2.35192i | 0.0301463 | + | 0.112508i | ||||
\(438\) | 2.48520 | − | 4.30449i | 0.118747 | − | 0.205676i | ||||
\(439\) | 3.78193 | + | 6.55050i | 0.180502 | + | 0.312638i | 0.942052 | − | 0.335468i | \(-0.108895\pi\) |
−0.761550 | + | 0.648106i | \(0.775561\pi\) | |||||||
\(440\) | 4.04205 | − | 4.04205i | 0.192697 | − | 0.192697i | ||||
\(441\) | −3.41010 | − | 6.11320i | −0.162386 | − | 0.291105i | ||||
\(442\) | 0.0587589 | + | 0.803306i | 0.00279487 | + | 0.0382093i | ||||
\(443\) | 1.91884 | + | 3.32353i | 0.0911669 | + | 0.157906i | 0.908002 | − | 0.418965i | \(-0.137607\pi\) |
−0.816835 | + | 0.576871i | \(0.804274\pi\) | |||||||
\(444\) | 5.82755 | − | 1.56149i | 0.276563 | − | 0.0741049i | ||||
\(445\) | −8.58983 | + | 14.8780i | −0.407197 | + | 0.705286i | ||||
\(446\) | −8.26549 | − | 14.3163i | −0.391383 | − | 0.677894i | ||||
\(447\) | 15.7517 | + | 15.7517i | 0.745028 | + | 0.745028i | ||||
\(448\) | −2.64568 | − | 0.0195352i | −0.124997 | − | 0.000922950i | ||||
\(449\) | 24.4225 | + | 24.4225i | 1.15257 | + | 1.15257i | 0.986036 | + | 0.166534i | \(0.0532576\pi\) |
0.166534 | + | 0.986036i | \(0.446742\pi\) | |||||||
\(450\) | 0.455061 | − | 1.69831i | 0.0214518 | − | 0.0800592i | ||||
\(451\) | −27.6863 | − | 15.9847i | −1.30370 | − | 0.752691i | ||||
\(452\) | −1.82580 | − | 1.05413i | −0.0858784 | − | 0.0495819i | ||||
\(453\) | −5.80675 | − | 1.55591i | −0.272825 | − | 0.0731032i | ||||
\(454\) | −5.68177 | −0.266659 | ||||||||
\(455\) | −14.2793 | + | 9.54487i | −0.669422 | + | 0.447471i | ||||
\(456\) | 0.794499 | 0.0372058 | ||||||||
\(457\) | 22.5178 | + | 6.03362i | 1.05334 | + | 0.282241i | 0.743630 | − | 0.668591i | \(-0.233102\pi\) |
0.309707 | + | 0.950832i | \(0.399769\pi\) | |||||||
\(458\) | −16.6344 | − | 9.60386i | −0.777273 | − | 0.448759i | ||||
\(459\) | 0.193463 | + | 0.111696i | 0.00903009 | + | 0.00521353i | ||||
\(460\) | −1.42815 | + | 5.32993i | −0.0665878 | + | 0.248509i | ||||
\(461\) | −4.28776 | − | 4.28776i | −0.199701 | − | 0.199701i | 0.600171 | − | 0.799872i | \(-0.295099\pi\) |
−0.799872 | + | 0.600171i | \(0.795099\pi\) | |||||||
\(462\) | 4.25354 | − | 7.24331i | 0.197893 | − | 0.336989i | ||||
\(463\) | −28.2642 | − | 28.2642i | −1.31355 | − | 1.31355i | −0.918781 | − | 0.394767i | \(-0.870825\pi\) |
−0.394767 | − | 0.918781i | \(-0.629175\pi\) | |||||||
\(464\) | 0.974236 | + | 1.68743i | 0.0452278 | + | 0.0783368i | ||||
\(465\) | 6.52613 | − | 11.3036i | 0.302642 | − | 0.524191i | ||||
\(466\) | −10.4046 | + | 2.78790i | −0.481983 | + | 0.129147i | ||||
\(467\) | 0.523058 | + | 0.905963i | 0.0242042 | + | 0.0419230i | 0.877874 | − | 0.478892i | \(-0.158961\pi\) |
−0.853670 | + | 0.520815i | \(0.825628\pi\) | |||||||
\(468\) | −2.72871 | − | 2.35673i | −0.126135 | − | 0.108940i | ||||
\(469\) | −7.45047 | + | 1.93750i | −0.344031 | + | 0.0894655i | ||||
\(470\) | 0.288603 | − | 0.288603i | 0.0133123 | − | 0.0133123i | ||||
\(471\) | 0.539198 | + | 0.933918i | 0.0248449 | + | 0.0430327i | ||||
\(472\) | −2.39242 | + | 4.14380i | −0.110120 | + | 0.190734i | ||||
\(473\) | −9.67787 | − | 36.1183i | −0.444989 | − | 1.66072i | ||||
\(474\) | −1.49548 | + | 5.58122i | −0.0686898 | + | 0.256354i | ||||
\(475\) | 0.987761 | − | 0.987761i | 0.0453216 | − | 0.0453216i | ||||
\(476\) | −0.291733 | − | 0.514024i | −0.0133715 | − | 0.0235602i | ||||
\(477\) | 0.0835135 | 0.00382382 | ||||||||
\(478\) | −3.79208 | + | 2.18936i | −0.173446 | + | 0.100139i | ||||
\(479\) | −3.53184 | − | 13.1810i | −0.161374 | − | 0.602256i | −0.998475 | − | 0.0552075i | \(-0.982418\pi\) |
0.837101 | − | 0.547049i | \(-0.184249\pi\) | |||||||
\(480\) | 1.55927 | + | 0.900247i | 0.0711708 | + | 0.0410905i | ||||
\(481\) | −12.2217 | − | 17.9948i | −0.557261 | − | 0.820491i | ||||
\(482\) | 19.7022i | 0.897411i | ||||||||
\(483\) | −0.0598691 | + | 8.10817i | −0.00272414 | + | 0.368934i | ||||
\(484\) | −0.920262 | −0.0418301 | ||||||||
\(485\) | 18.6442 | − | 10.7642i | 0.846588 | − | 0.488778i | ||||
\(486\) | −0.965926 | + | 0.258819i | −0.0438153 | + | 0.0117403i | ||||
\(487\) | 9.59413 | + | 35.8058i | 0.434752 | + | 1.62252i | 0.741660 | + | 0.670776i | \(0.234039\pi\) |
−0.306908 | + | 0.951739i | \(0.599294\pi\) | |||||||
\(488\) | −6.29103 | − | 1.68568i | −0.284782 | − | 0.0763070i | ||||
\(489\) | −6.00862 | + | 6.00862i | −0.271719 | + | 0.271719i | ||||
\(490\) | 6.46222 | − | 10.8207i | 0.291933 | − | 0.488828i | ||||
\(491\) | − | 29.9158i | − | 1.35008i | −0.737781 | − | 0.675040i | \(-0.764126\pi\) | ||
0.737781 | − | 0.675040i | \(-0.235874\pi\) | |||||||
\(492\) | 2.60619 | − | 9.72644i | 0.117496 | − | 0.438502i | ||||
\(493\) | −0.217637 | + | 0.376958i | −0.00980186 | + | 0.0169773i | ||||
\(494\) | −0.941296 | − | 2.70554i | −0.0423509 | − | 0.121728i | ||||
\(495\) | −4.95048 | + | 2.85816i | −0.222507 | + | 0.128465i | ||||
\(496\) | −5.12600 | − | 5.12600i | −0.230164 | − | 0.230164i | ||||
\(497\) | −22.2638 | − | 22.5950i | −0.998666 | − | 1.01352i | ||||
\(498\) | 3.36836i | 0.150940i | ||||||||
\(499\) | −10.6303 | − | 2.84837i | −0.475876 | − | 0.127510i | 0.0129059 | − | 0.999917i | \(-0.495892\pi\) |
−0.488781 | + | 0.872406i | \(0.662558\pi\) | |||||||
\(500\) | 11.7535 | − | 3.14935i | 0.525633 | − | 0.140843i | ||||
\(501\) | 16.7071 | − | 4.47666i | 0.746420 | − | 0.200003i | ||||
\(502\) | −9.60340 | − | 2.57322i | −0.428621 | − | 0.114849i | ||||
\(503\) | − | 19.1890i | − | 0.855597i | −0.903874 | − | 0.427798i | \(-0.859289\pi\) | ||
0.903874 | − | 0.427798i | \(-0.140711\pi\) | |||||||
\(504\) | 2.55047 | + | 0.703622i | 0.113607 | + | 0.0313418i | ||||
\(505\) | −22.0721 | − | 22.0721i | −0.982194 | − | 0.982194i | ||||
\(506\) | −8.42638 | + | 4.86497i | −0.374598 | + | 0.216274i | ||||
\(507\) | −4.79257 | + | 12.0843i | −0.212845 | + | 0.536684i | ||||
\(508\) | −1.01551 | + | 1.75892i | −0.0450560 | + | 0.0780393i | ||||
\(509\) | 1.37973 | − | 5.14921i | 0.0611553 | − | 0.228235i | −0.928583 | − | 0.371124i | \(-0.878973\pi\) |
0.989739 | + | 0.142889i | \(0.0456392\pi\) | |||||||
\(510\) | 0.402216i | 0.0178104i | ||||||||
\(511\) | 12.7271 | − | 3.30970i | 0.563015 | − | 0.146412i | ||||
\(512\) | 0.707107 | − | 0.707107i | 0.0312500 | − | 0.0312500i | ||||
\(513\) | −0.767427 | − | 0.205632i | −0.0338827 | − | 0.00907885i | ||||
\(514\) | −6.41822 | − | 23.9531i | −0.283096 | − | 1.05653i | ||||
\(515\) | −0.601288 | + | 0.161115i | −0.0264959 | + | 0.00709956i | ||||
\(516\) | 10.1998 | − | 5.88883i | 0.449019 | − | 0.259241i | ||||
\(517\) | 0.719696 | 0.0316522 | ||||||||
\(518\) | 13.7643 | + | 8.08292i | 0.604769 | + | 0.355143i | ||||
\(519\) | 10.3117i | 0.452635i | ||||||||
\(520\) | 1.21827 | − | 6.37644i | 0.0534247 | − | 0.279625i | ||||
\(521\) | −6.90031 | − | 3.98390i | −0.302308 | − | 0.174538i | 0.341171 | − | 0.940001i | \(-0.389176\pi\) |
−0.643479 | + | 0.765463i | \(0.722510\pi\) | |||||||
\(522\) | −0.504302 | − | 1.88208i | −0.0220727 | − | 0.0823764i | ||||
\(523\) | −7.92947 | + | 4.57808i | −0.346731 | + | 0.200185i | −0.663245 | − | 0.748403i | \(-0.730821\pi\) |
0.316513 | + | 0.948588i | \(0.397488\pi\) | |||||||
\(524\) | −5.22815 | −0.228393 | ||||||||
\(525\) | 4.04565 | − | 2.29610i | 0.176567 | − | 0.100210i | ||||
\(526\) | −8.46702 | + | 8.46702i | −0.369180 | + | 0.369180i | ||||
\(527\) | 0.419139 | − | 1.56425i | 0.0182580 | − | 0.0681397i | ||||
\(528\) | 0.821714 | + | 3.06668i | 0.0357605 | + | 0.133460i | ||||
\(529\) | −6.80386 | + | 11.7846i | −0.295820 | + | 0.512375i | ||||
\(530\) | 0.0751828 | + | 0.130220i | 0.00326573 | + | 0.00565641i | ||||
\(531\) | 3.38339 | − | 3.38339i | 0.146827 | − | 0.146827i | ||||
\(532\) | 1.47536 | + | 1.49731i | 0.0639648 | + | 0.0649165i | ||||
\(533\) | −36.2095 | + | 2.64860i | −1.56841 | + | 0.114723i | ||||
\(534\) | −4.77082 | − | 8.26330i | −0.206453 | − | 0.357588i | ||||
\(535\) | 0.468431 | − | 0.125516i | 0.0202520 | − | 0.00542651i | ||||
\(536\) | 1.45484 | − | 2.51985i | 0.0628394 | − | 0.108841i | ||||
\(537\) | −7.10010 | − | 12.2977i | −0.306392 | − | 0.530686i | ||||
\(538\) | 3.46356 | + | 3.46356i | 0.149325 | + | 0.149325i | ||||
\(539\) | 21.5494 | − | 5.43438i | 0.928196 | − | 0.234075i | ||||
\(540\) | −1.27314 | − | 1.27314i | −0.0547873 | − | 0.0547873i | ||||
\(541\) | −4.22877 | + | 15.7820i | −0.181809 | + | 0.678520i | 0.813482 | + | 0.581590i | \(0.197569\pi\) |
−0.995291 | + | 0.0969303i | \(0.969098\pi\) | |||||||
\(542\) | 16.9256 | + | 9.77199i | 0.727016 | + | 0.419743i | ||||
\(543\) | −18.7546 | − | 10.8280i | −0.804836 | − | 0.464672i | ||||
\(544\) | 0.215780 | + | 0.0578181i | 0.00925150 | + | 0.00247893i | ||||
\(545\) | −33.7630 | −1.44625 | ||||||||
\(546\) | −0.625646 | − | 9.51885i | −0.0267752 | − | 0.407369i | ||||
\(547\) | 31.4974 | 1.34673 | 0.673365 | − | 0.739310i | \(-0.264848\pi\) | ||||
0.673365 | + | 0.739310i | \(0.264848\pi\) | |||||||
\(548\) | −15.6336 | − | 4.18902i | −0.667836 | − | 0.178946i | ||||
\(549\) | 5.64039 | + | 3.25648i | 0.240726 | + | 0.138983i | ||||
\(550\) | 4.83425 | + | 2.79105i | 0.206133 | + | 0.119011i | ||||
\(551\) | 0.400667 | − | 1.49531i | 0.0170690 | − | 0.0637024i | ||||
\(552\) | −2.16706 | − | 2.16706i | −0.0922361 | − | 0.0922361i | ||||
\(553\) | −13.2954 | + | 7.54575i | −0.565377 | + | 0.320878i | ||||
\(554\) | −15.9190 | − | 15.9190i | −0.676332 | − | 0.676332i | ||||
\(555\) | −5.43130 | − | 9.40729i | −0.230546 | − | 0.399317i | ||||
\(556\) | 8.64690 | − | 14.9769i | 0.366710 | − | 0.635161i | ||||
\(557\) | 21.5789 | − | 5.78205i | 0.914327 | − | 0.244993i | 0.229168 | − | 0.973387i | \(-0.426399\pi\) |
0.685159 | + | 0.728394i | \(0.259733\pi\) | |||||||
\(558\) | 3.62463 | + | 6.27805i | 0.153443 | + | 0.265771i | ||||
\(559\) | −32.1378 | − | 27.7567i | −1.35928 | − | 1.17398i | ||||
\(560\) | 1.19892 | + | 4.61032i | 0.0506635 | + | 0.194822i | ||||
\(561\) | −0.501508 | + | 0.501508i | −0.0211737 | + | 0.0211737i | ||||
\(562\) | −8.91919 | − | 15.4485i | −0.376233 | − | 0.651655i | ||||
\(563\) | −4.23343 | + | 7.33251i | −0.178418 | + | 0.309029i | −0.941339 | − | 0.337463i | \(-0.890431\pi\) |
0.762921 | + | 0.646492i | \(0.223764\pi\) | |||||||
\(564\) | 0.0586707 | + | 0.218962i | 0.00247048 | + | 0.00921996i | ||||
\(565\) | −0.982450 | + | 3.66655i | −0.0413320 | + | 0.154253i | ||||
\(566\) | −1.23392 | + | 1.23392i | −0.0518655 | + | 0.0518655i | ||||
\(567\) | −2.28146 | − | 1.33976i | −0.0958122 | − | 0.0562645i | ||||
\(568\) | 11.9893 | 0.503061 | ||||||||
\(569\) | 3.69891 | − | 2.13556i | 0.155066 | − | 0.0895275i | −0.420459 | − | 0.907312i | \(-0.638131\pi\) |
0.575525 | + | 0.817784i | \(0.304798\pi\) | |||||||
\(570\) | −0.370238 | − | 1.38175i | −0.0155076 | − | 0.0578751i | ||||
\(571\) | 22.5530 | + | 13.0210i | 0.943813 | + | 0.544911i | 0.891154 | − | 0.453702i | \(-0.149897\pi\) |
0.0526598 | + | 0.998613i | \(0.483230\pi\) | |||||||
\(572\) | 9.46954 | − | 6.43151i | 0.395941 | − | 0.268915i | ||||
\(573\) | 6.27518i | 0.262149i | ||||||||
\(574\) | 23.1700 | − | 13.1500i | 0.967096 | − | 0.548872i | ||||
\(575\) | −5.38839 | −0.224711 | ||||||||
\(576\) | −0.866025 | + | 0.500000i | −0.0360844 | + | 0.0208333i | ||||
\(577\) | −9.85848 | + | 2.64157i | −0.410414 | + | 0.109970i | −0.458118 | − | 0.888891i | \(-0.651476\pi\) |
0.0477039 | + | 0.998862i | \(0.484810\pi\) | |||||||
\(578\) | −4.38701 | − | 16.3725i | −0.182475 | − | 0.681008i | ||||
\(579\) | 7.72155 | + | 2.06898i | 0.320897 | + | 0.0859841i | ||||
\(580\) | 2.48068 | − | 2.48068i | 0.103005 | − | 0.103005i | ||||
\(581\) | −6.34799 | + | 6.25493i | −0.263359 | + | 0.259498i | ||||
\(582\) | 11.9570i | 0.495632i | ||||||||
\(583\) | −0.0686243 | + | 0.256109i | −0.00284213 | + | 0.0106070i | ||||
\(584\) | −2.48520 | + | 4.30449i | −0.102838 | + | 0.178121i | ||||
\(585\) | −2.82710 | + | 5.84385i | −0.116886 | + | 0.241614i | ||||
\(586\) | 24.5515 | − | 14.1748i | 1.01421 | − | 0.585557i | ||||
\(587\) | 14.6950 | + | 14.6950i | 0.606529 | + | 0.606529i | 0.942037 | − | 0.335508i | \(-0.108908\pi\) |
−0.335508 | + | 0.942037i | \(0.608908\pi\) | |||||||
\(588\) | 3.41010 | + | 6.11320i | 0.140630 | + | 0.252104i | ||||
\(589\) | 5.75953i | 0.237317i | ||||||||
\(590\) | 8.32153 | + | 2.22975i | 0.342592 | + | 0.0917972i | ||||
\(591\) | 24.9358 | − | 6.68153i | 1.02572 | − | 0.274842i | ||||
\(592\) | −5.82755 | + | 1.56149i | −0.239511 | + | 0.0641767i | ||||
\(593\) | 29.4230 | + | 7.88387i | 1.20826 | + | 0.323752i | 0.806078 | − | 0.591809i | \(-0.201586\pi\) |
0.402179 | + | 0.915561i | \(0.368253\pi\) | |||||||
\(594\) | − | 3.17486i | − | 0.130266i | ||||||
\(595\) | −0.758013 | + | 0.746901i | −0.0310755 | + | 0.0306200i | ||||
\(596\) | −15.7517 | − | 15.7517i | −0.645213 | − | 0.645213i | ||||
\(597\) | 19.8534 | − | 11.4624i | 0.812547 | − | 0.469124i | ||||
\(598\) | −4.81211 | + | 9.94703i | −0.196782 | + | 0.406764i | ||||
\(599\) | −19.2665 | + | 33.3706i | −0.787208 | + | 1.36348i | 0.140463 | + | 0.990086i | \(0.455141\pi\) |
−0.927671 | + | 0.373398i | \(0.878193\pi\) | |||||||
\(600\) | −0.455061 | + | 1.69831i | −0.0185778 | + | 0.0693333i | ||||
\(601\) | − | 18.4547i | − | 0.752783i | −0.926461 | − | 0.376392i | \(-0.877165\pi\) | ||
0.926461 | − | 0.376392i | \(-0.122835\pi\) | |||||||
\(602\) | 30.0386 | + | 8.28702i | 1.22428 | + | 0.337754i | ||||
\(603\) | −2.05745 | + | 2.05745i | −0.0837858 | + | 0.0837858i | ||||
\(604\) | 5.80675 | + | 1.55591i | 0.236273 | + | 0.0633092i | ||||
\(605\) | 0.428844 | + | 1.60047i | 0.0174350 | + | 0.0650683i | ||||
\(606\) | 16.7460 | − | 4.48707i | 0.680258 | − | 0.182275i | ||||
\(607\) | −16.2326 | + | 9.37191i | −0.658862 | + | 0.380394i | −0.791843 | − | 0.610725i | \(-0.790878\pi\) |
0.132981 | + | 0.991119i | \(0.457545\pi\) | |||||||
\(608\) | −0.794499 | −0.0322212 | ||||||||
\(609\) | 2.61048 | − | 4.44536i | 0.105782 | − | 0.180135i | ||||
\(610\) | 11.7265i | 0.474794i | ||||||||
\(611\) | 0.676128 | − | 0.459212i | 0.0273532 | − | 0.0185777i | ||||
\(612\) | −0.193463 | − | 0.111696i | −0.00782029 | − | 0.00451505i | ||||
\(613\) | 9.52923 | + | 35.5636i | 0.384882 | + | 1.43640i | 0.838353 | + | 0.545128i | \(0.183519\pi\) |
−0.453471 | + | 0.891271i | \(0.649814\pi\) | |||||||
\(614\) | −10.5421 | + | 6.08650i | −0.425445 | + | 0.245631i | ||||
\(615\) | −18.1302 | −0.731079 | ||||||||
\(616\) | −4.25354 | + | 7.24331i | −0.171380 | + | 0.291841i | ||||
\(617\) | −21.8442 | + | 21.8442i | −0.879415 | + | 0.879415i | −0.993474 | − | 0.114059i | \(-0.963615\pi\) |
0.114059 | + | 0.993474i | \(0.463615\pi\) | |||||||
\(618\) | 0.0894836 | − | 0.333957i | 0.00359956 | − | 0.0134337i | ||||
\(619\) | 10.0041 | + | 37.3360i | 0.402100 | + | 1.50066i | 0.809341 | + | 0.587339i | \(0.199824\pi\) |
−0.407241 | + | 0.913321i | \(0.633509\pi\) | |||||||
\(620\) | −6.52613 | + | 11.3036i | −0.262096 | + | 0.453963i | ||||
\(621\) | 1.53234 | + | 2.65409i | 0.0614908 | + | 0.106505i | ||||
\(622\) | −2.43577 | + | 2.43577i | −0.0976655 | + | 0.0976655i | ||||
\(623\) | 6.71370 | − | 24.3357i | 0.268979 | − | 0.974988i | ||||
\(624\) | 2.72871 | + | 2.35673i | 0.109236 | + | 0.0943446i | ||||
\(625\) | −6.55878 | − | 11.3601i | −0.262351 | − | 0.454405i | ||||
\(626\) | −9.78269 | + | 2.62126i | −0.390995 | + | 0.104767i | ||||
\(627\) | 1.26121 | − | 2.18448i | 0.0503680 | − | 0.0872399i | ||||
\(628\) | −0.539198 | − | 0.933918i | −0.0215163 | − | 0.0372674i | ||||
\(629\) | −0.953005 | − | 0.953005i | −0.0379988 | − | 0.0379988i | ||||
\(630\) | 0.0351730 | − | 4.76353i | 0.00140132 | − | 0.189784i | ||||
\(631\) | 11.8545 | + | 11.8545i | 0.471922 | + | 0.471922i | 0.902536 | − | 0.430614i | \(-0.141703\pi\) |
−0.430614 | + | 0.902536i | \(0.641703\pi\) | |||||||
\(632\) | 1.49548 | − | 5.58122i | 0.0594871 | − | 0.222009i | ||||
\(633\) | 0.309986 | + | 0.178971i | 0.0123209 | + | 0.00711345i | ||||
\(634\) | 10.7137 | + | 6.18558i | 0.425497 | + | 0.245661i | ||||
\(635\) | 3.53224 | + | 0.946460i | 0.140173 | + | 0.0375591i | ||||
\(636\) | −0.0835135 | −0.00331153 | ||||||||
\(637\) | 16.7773 | − | 18.8553i | 0.664743 | − | 0.747072i | ||||
\(638\) | 6.18613 | 0.244911 | ||||||||
\(639\) | −11.5808 | − | 3.10307i | −0.458130 | − | 0.122755i | ||||
\(640\) | −1.55927 | − | 0.900247i | −0.0616357 | − | 0.0355854i | ||||
\(641\) | −18.2477 | − | 10.5353i | −0.720741 | − | 0.416120i | 0.0942844 | − | 0.995545i | \(-0.469944\pi\) |
−0.815025 | + | 0.579425i | \(0.803277\pi\) | |||||||
\(642\) | −0.0697118 | + | 0.260168i | −0.00275130 | + | 0.0102680i | ||||
\(643\) | −1.79630 | − | 1.79630i | −0.0708392 | − | 0.0708392i | 0.670800 | − | 0.741639i | \(-0.265951\pi\) |
−0.741639 | + | 0.670800i | \(0.765951\pi\) | |||||||
\(644\) | 0.0598691 | − | 8.10817i | 0.00235917 | − | 0.319507i | ||||
\(645\) | −14.9946 | − | 14.9946i | −0.590413 | − | 0.590413i | ||||
\(646\) | −0.0887424 | − | 0.153706i | −0.00349152 | − | 0.00604750i | ||||
\(647\) | 15.2874 | − | 26.4786i | 0.601010 | − | 1.04098i | −0.391658 | − | 0.920111i | \(-0.628098\pi\) |
0.992668 | − | 0.120869i | \(-0.0385683\pi\) | |||||||
\(648\) | 0.965926 | − | 0.258819i | 0.0379452 | − | 0.0101674i | ||||
\(649\) | 7.59560 | + | 13.1560i | 0.298154 | + | 0.516417i | ||||
\(650\) | 6.32247 | − | 0.462465i | 0.247987 | − | 0.0181394i | ||||
\(651\) | −5.10074 | + | 18.4891i | −0.199914 | + | 0.724643i | ||||
\(652\) | 6.00862 | − | 6.00862i | 0.235316 | − | 0.235316i | ||||
\(653\) | 3.40705 | + | 5.90119i | 0.133328 | + | 0.230931i | 0.924958 | − | 0.380070i | \(-0.124100\pi\) |
−0.791629 | + | 0.611002i | \(0.790767\pi\) | |||||||
\(654\) | 9.37603 | − | 16.2398i | 0.366632 | − | 0.635025i | ||||
\(655\) | 2.43633 | + | 9.09250i | 0.0951953 | + | 0.355274i | ||||
\(656\) | −2.60619 | + | 9.72644i | −0.101755 | + | 0.379754i | ||||
\(657\) | 3.51460 | − | 3.51460i | 0.137118 | − | 0.137118i | ||||
\(658\) | −0.303704 | + | 0.517175i | −0.0118396 | + | 0.0201616i | ||||
\(659\) | 48.5714 | 1.89207 | 0.946037 | − | 0.324060i | \(-0.105048\pi\) | ||||
0.946037 | + | 0.324060i | \(0.105048\pi\) | |||||||
\(660\) | 4.95048 | − | 2.85816i | 0.192697 | − | 0.111254i | ||||
\(661\) | 6.21976 | + | 23.2125i | 0.241921 | + | 0.902860i | 0.974906 | + | 0.222616i | \(0.0714595\pi\) |
−0.732986 | + | 0.680244i | \(0.761874\pi\) | |||||||
\(662\) | 21.6477 | + | 12.4983i | 0.841360 | + | 0.485759i | ||||
\(663\) | −0.151154 | + | 0.791141i | −0.00587034 | + | 0.0307254i | ||||
\(664\) | − | 3.36836i | − | 0.130718i | ||||||
\(665\) | 1.91651 | − | 3.26360i | 0.0743191 | − | 0.126557i | ||||
\(666\) | 6.03312 | 0.233779 | ||||||||
\(667\) | −5.17143 | + | 2.98573i | −0.200239 | + | 0.115608i | ||||
\(668\) | −16.7071 | + | 4.47666i | −0.646419 | + | 0.173207i | ||||
\(669\) | −4.27853 | − | 15.9677i | −0.165418 | − | 0.617347i | ||||
\(670\) | −5.06034 | − | 1.35591i | −0.195498 | − | 0.0523835i | ||||
\(671\) | −14.6214 | + | 14.6214i | −0.564451 | + | 0.564451i | ||||
\(672\) | −2.55047 | − | 0.703622i | −0.0983867 | − | 0.0271428i | ||||
\(673\) | − | 12.5415i | − | 0.483441i | −0.970346 | − | 0.241721i | \(-0.922288\pi\) | ||
0.970346 | − | 0.241721i | \(-0.0777117\pi\) | |||||||
\(674\) | −0.830192 | + | 3.09832i | −0.0319778 | + | 0.119343i | ||||
\(675\) | 0.879111 | − | 1.52266i | 0.0338370 | − | 0.0586074i | ||||
\(676\) | 4.79257 | − | 12.0843i | 0.184330 | − | 0.464782i | ||||
\(677\) | −32.6149 | + | 18.8302i | −1.25349 | + | 0.723704i | −0.971801 | − | 0.235801i | \(-0.924229\pi\) |
−0.281691 | + | 0.959505i | \(0.590895\pi\) | |||||||
\(678\) | −1.49076 | − | 1.49076i | −0.0572523 | − | 0.0572523i | ||||
\(679\) | −22.5340 | + | 22.2036i | −0.864774 | + | 0.852097i | ||||
\(680\) | − | 0.402216i | − | 0.0154243i | ||||||
\(681\) | −5.48817 | − | 1.47055i | −0.210307 | − | 0.0563516i | ||||
\(682\) | −22.2312 | + | 5.95682i | −0.851276 | + | 0.228099i | ||||
\(683\) | 48.6984 | − | 13.0487i | 1.86339 | − | 0.499295i | 0.863406 | − | 0.504509i | \(-0.168326\pi\) |
0.999986 | + | 0.00521439i | \(0.00165980\pi\) | |||||||
\(684\) | 0.767427 | + | 0.205632i | 0.0293433 | + | 0.00786252i | ||||
\(685\) | 29.1412i | 1.11343i | ||||||||
\(686\) | −5.18845 | + | 17.7786i | −0.198096 | + | 0.678792i | ||||
\(687\) | −13.5819 | − | 13.5819i | −0.518182 | − | 0.518182i | ||||
\(688\) | −10.1998 | + | 5.88883i | −0.388862 | + | 0.224510i | ||||
\(689\) | 0.0989440 | + | 0.284392i | 0.00376947 | + | 0.0108345i | ||||
\(690\) | −2.75897 | + | 4.77868i | −0.105032 | + | 0.181921i | ||||
\(691\) | −4.46289 | + | 16.6557i | −0.169776 | + | 0.633614i | 0.827606 | + | 0.561309i | \(0.189702\pi\) |
−0.997383 | + | 0.0723050i | \(0.976965\pi\) | |||||||
\(692\) | − | 10.3117i | − | 0.391993i | ||||||
\(693\) | 5.98331 | − | 5.89560i | 0.227287 | − | 0.223955i | ||||
\(694\) | 17.9175 | − | 17.9175i | 0.680138 | − | 0.680138i | ||||
\(695\) | −30.0764 | − | 8.05895i | −1.14086 | − | 0.305693i | ||||
\(696\) | 0.504302 | + | 1.88208i | 0.0191155 | + | 0.0713401i | ||||
\(697\) | −2.17281 | + | 0.582203i | −0.0823010 | + | 0.0220525i | ||||
\(698\) | −8.26578 | + | 4.77225i | −0.312864 | + | 0.180632i | ||||
\(699\) | −10.7716 | −0.407420 | ||||||||
\(700\) | −4.04565 | + | 2.29610i | −0.152911 | + | 0.0867844i | ||||
\(701\) | 23.8179i | 0.899591i | 0.893132 | + | 0.449796i | \(0.148503\pi\) | ||||
−0.893132 | + | 0.449796i | \(0.851497\pi\) | |||||||
\(702\) | −2.02576 | − | 2.98266i | −0.0764575 | − | 0.112573i | ||||
\(703\) | 4.15113 | + | 2.39666i | 0.156563 | + | 0.0903916i | ||||
\(704\) | −0.821714 | − | 3.06668i | −0.0309695 | − | 0.115580i | ||||
\(705\) | 0.353466 | − | 0.204073i | 0.0133123 | − | 0.00768585i | ||||
\(706\) | 5.00732 | 0.188453 | ||||||||
\(707\) | 39.5529 | + | 23.2270i | 1.48754 | + | 0.873540i | ||||
\(708\) | −3.38339 | + | 3.38339i | −0.127156 | + | 0.127156i | ||||
\(709\) | −10.0704 | + | 37.5831i | −0.378201 | + | 1.41146i | 0.470411 | + | 0.882448i | \(0.344106\pi\) |
−0.848611 | + | 0.529017i | \(0.822561\pi\) | |||||||
\(710\) | −5.58706 | − | 20.8512i | −0.209678 | − | 0.782531i | ||||
\(711\) | −2.88905 | + | 5.00398i | −0.108348 | + | 0.187664i | ||||
\(712\) | 4.77082 | + | 8.26330i | 0.178794 | + | 0.309680i | ||||
\(713\) | 15.7096 | − | 15.7096i | 0.588328 | − | 0.588328i | ||||
\(714\) | −0.148753 | − | 0.572015i | −0.00556694 | − | 0.0214071i | ||||
\(715\) | −15.5982 | − | 13.4718i | −0.583338 | − | 0.503817i | ||||
\(716\) | 7.10010 | + | 12.2977i | 0.265343 | + | 0.459588i | ||||
\(717\) | −4.22951 | + | 1.13329i | −0.157954 | + | 0.0423237i | ||||
\(718\) | −0.674616 | + | 1.16847i | −0.0251764 | + | 0.0436069i | ||||
\(719\) | 19.8247 | + | 34.3373i | 0.739336 | + | 1.28057i | 0.952795 | + | 0.303615i | \(0.0981937\pi\) |
−0.213459 | + | 0.976952i | \(0.568473\pi\) | |||||||
\(720\) | 1.27314 | + | 1.27314i | 0.0474472 | + | 0.0474472i | ||||
\(721\) | 0.795541 | − | 0.451507i | 0.0296275 | − | 0.0168150i | ||||
\(722\) | −12.9887 | − | 12.9887i | −0.483389 | − | 0.483389i | ||||
\(723\) | −5.09930 | + | 19.0309i | −0.189645 | + | 0.707765i | ||||
\(724\) | 18.7546 | + | 10.8280i | 0.697009 | + | 0.402418i | ||||
\(725\) | 2.96687 | + | 1.71292i | 0.110187 | + | 0.0636164i | ||||
\(726\) | −0.888905 | − | 0.238181i | −0.0329904 | − | 0.00883974i | ||||
\(727\) | −49.4576 | −1.83428 | −0.917140 | − | 0.398565i | \(-0.869508\pi\) | ||||
−0.917140 | + | 0.398565i | \(0.869508\pi\) | |||||||
\(728\) | 0.625646 | + | 9.51885i | 0.0231880 | + | 0.352792i | ||||
\(729\) | −1.00000 | −0.0370370 | ||||||||
\(730\) | 8.64423 | + | 2.31621i | 0.319937 | + | 0.0857269i | ||||
\(731\) | −2.27854 | − | 1.31552i | −0.0842750 | − | 0.0486562i | ||||
\(732\) | −5.64039 | − | 3.25648i | −0.208475 | − | 0.120363i | ||||
\(733\) | 6.93687 | − | 25.8888i | 0.256219 | − | 0.956223i | −0.711189 | − | 0.703001i | \(-0.751843\pi\) |
0.967408 | − | 0.253222i | \(-0.0814904\pi\) | |||||||
\(734\) | −2.11362 | − | 2.11362i | −0.0780150 | − | 0.0780150i | ||||
\(735\) | 9.04262 | − | 8.77942i | 0.333542 | − | 0.323834i | ||||
\(736\) | 2.16706 | + | 2.16706i | 0.0798788 | + | 0.0798788i | ||||
\(737\) | −4.61890 | − | 8.00017i | −0.170139 | − | 0.294690i | ||||
\(738\) | 5.03478 | − | 8.72049i | 0.185333 | − | 0.321006i | ||||
\(739\) | −4.18261 | + | 1.12073i | −0.153860 | + | 0.0412266i | −0.334927 | − | 0.942244i | \(-0.608712\pi\) |
0.181067 | + | 0.983471i | \(0.442045\pi\) | |||||||
\(740\) | 5.43130 | + | 9.40729i | 0.199659 | + | 0.345819i | ||||
\(741\) | −0.208977 | − | 2.85697i | −0.00767697 | − | 0.104954i | ||||
\(742\) | −0.155082 | − | 0.157389i | −0.00569323 | − | 0.00577793i | ||||
\(743\) | 15.6827 | − | 15.6827i | 0.575344 | − | 0.575344i | −0.358273 | − | 0.933617i | \(-0.616634\pi\) |
0.933617 | + | 0.358273i | \(0.116634\pi\) | |||||||
\(744\) | −3.62463 | − | 6.27805i | −0.132885 | − | 0.230164i | ||||
\(745\) | −20.0541 | + | 34.7347i | −0.734725 | + | 1.27258i | ||||
\(746\) | −3.73792 | − | 13.9501i | −0.136855 | − | 0.510750i | ||||
\(747\) | −0.871797 | + | 3.25359i | −0.0318974 | + | 0.119043i | ||||
\(748\) | 0.501508 | − | 0.501508i | 0.0183369 | − | 0.0183369i | ||||
\(749\) | −0.619762 | + | 0.351744i | −0.0226456 | + | 0.0128525i | ||||
\(750\) | 12.1681 | 0.444318 | ||||||||
\(751\) | −7.73391 | + | 4.46518i | −0.282214 | + | 0.162937i | −0.634425 | − | 0.772984i | \(-0.718763\pi\) |
0.352211 | + | 0.935921i | \(0.385430\pi\) | |||||||
\(752\) | −0.0586707 | − | 0.218962i | −0.00213950 | − | 0.00798472i | ||||
\(753\) | −8.61017 | − | 4.97109i | −0.313772 | − | 0.181156i | ||||
\(754\) | 5.81164 | − | 3.94714i | 0.211647 | − | 0.143747i | ||||
\(755\) | − | 10.8238i | − | 0.393919i | ||||||
\(756\) | 2.28146 | + | 1.33976i | 0.0829758 | + | 0.0487265i | ||||
\(757\) | −2.78338 | −0.101164 | −0.0505818 | − | 0.998720i | \(-0.516108\pi\) | ||||
−0.0505818 | + | 0.998720i | \(0.516108\pi\) | |||||||
\(758\) | −19.6499 | + | 11.3449i | −0.713717 | + | 0.412065i | ||||
\(759\) | −9.39840 | + | 2.51829i | −0.341140 | + | 0.0914083i | ||||
\(760\) | 0.370238 | + | 1.38175i | 0.0134300 | + | 0.0501213i | ||||
\(761\) | 51.6620 | + | 13.8428i | 1.87275 | + | 0.501801i | 0.999905 | + | 0.0137945i | \(0.00439106\pi\) |
0.872840 | + | 0.488006i | \(0.162276\pi\) | |||||||
\(762\) | −1.43615 | + | 1.43615i | −0.0520262 | + | 0.0520262i | ||||
\(763\) | 48.0163 | − | 12.4867i | 1.73831 | − | 0.452048i | ||||
\(764\) | − | 6.27518i | − | 0.227028i | ||||||
\(765\) | −0.104101 | + | 0.388511i | −0.00376379 | + | 0.0140466i | ||||
\(766\) | −13.8510 | + | 23.9906i | −0.500456 | + | 0.866815i | ||||
\(767\) | 15.5301 | + | 7.51307i | 0.560761 | + | 0.271281i | ||||
\(768\) | 0.866025 | − | 0.500000i | 0.0312500 | − | 0.0180422i | ||||
\(769\) | −15.3644 | − | 15.3644i | −0.554056 | − | 0.554056i | 0.373553 | − | 0.927609i | \(-0.378139\pi\) |
−0.927609 | + | 0.373553i | \(0.878139\pi\) | |||||||
\(770\) | 14.5793 | + | 4.02212i | 0.525402 | + | 0.144947i | ||||
\(771\) | − | 24.7981i | − | 0.893082i | ||||||
\(772\) | −7.72155 | − | 2.06898i | −0.277905 | − | 0.0744644i | ||||
\(773\) | 38.7771 | − | 10.3903i | 1.39471 | − | 0.373713i | 0.518271 | − | 0.855217i | \(-0.326576\pi\) |
0.876444 | + | 0.481504i | \(0.159909\pi\) | |||||||
\(774\) | 11.3763 | − | 3.04828i | 0.408914 | − | 0.109568i | ||||
\(775\) | −12.3115 | − | 3.29886i | −0.442242 | − | 0.118498i | ||||
\(776\) | − | 11.9570i | − | 0.429230i | ||||||
\(777\) | 11.2033 | + | 11.3700i | 0.401916 | + | 0.407895i | ||||
\(778\) | −4.67918 | − | 4.67918i | −0.167757 | − | 0.167757i | ||||
\(779\) | 6.92842 | − | 4.00013i | 0.248236 | − | 0.143319i | ||||
\(780\) | 2.82710 | − | 5.84385i | 0.101226 | − | 0.209244i | ||||
\(781\) | 19.0322 | − | 32.9648i | 0.681027 | − | 1.17957i | ||||
\(782\) | −0.177194 | + | 0.661298i | −0.00633645 | + | 0.0236480i | ||||
\(783\) | − | 1.94847i | − | 0.0696327i | ||||||
\(784\) | −3.41010 | − | 6.11320i | −0.121789 | − | 0.218329i | ||||
\(785\) | −1.37295 | + | 1.37295i | −0.0490027 | + | 0.0490027i | ||||
\(786\) | −5.05001 | − | 1.35314i | −0.180128 | − | 0.0482651i | ||||
\(787\) | 5.70392 | + | 21.2873i | 0.203323 | + | 0.758810i | 0.989954 | + | 0.141388i | \(0.0451564\pi\) |
−0.786632 | + | 0.617423i | \(0.788177\pi\) | |||||||
\(788\) | −24.9358 | + | 6.68153i | −0.888302 | + | 0.238020i | ||||
\(789\) | −10.3699 | + | 5.98709i | −0.369180 | + | 0.213146i | ||||
\(790\) | −10.4034 | −0.370138 | ||||||||
\(791\) | 0.0411851 | − | 5.57776i | 0.00146437 | − | 0.198322i | ||||
\(792\) | 3.17486i | 0.112814i | ||||||||
\(793\) | −4.40687 | + | 23.0656i | −0.156493 | + | 0.819083i | ||||
\(794\) | 19.4022 | + | 11.2019i | 0.688559 | + | 0.397540i | ||||
\(795\) | 0.0389175 | + | 0.145242i | 0.00138026 | + | 0.00515120i | ||||
\(796\) | −19.8534 | + | 11.4624i | −0.703686 | + | 0.406273i | ||||
\(797\) | −45.1134 | −1.59800 | −0.799000 | − | 0.601332i | \(-0.794637\pi\) | ||||
−0.799000 | + | 0.601332i | \(0.794637\pi\) | |||||||
\(798\) | 1.03755 | + | 1.82814i | 0.0367290 | + | 0.0647153i | ||||
\(799\) | 0.0358078 | − | 0.0358078i | 0.00126679 | − | 0.00126679i | ||||
\(800\) | 0.455061 | − | 1.69831i | 0.0160888 | − | 0.0600444i | ||||
\(801\) | −2.46956 | − | 9.21651i | −0.0872575 | − | 0.325649i | ||||
\(802\) | 15.5844 | − | 26.9930i | 0.550305 | − | 0.953156i | ||||
\(803\) | 7.89015 | + | 13.6661i | 0.278437 | + | 0.482268i | ||||
\(804\) | 2.05745 | − | 2.05745i | 0.0725606 | − | 0.0725606i | ||||
\(805\) | −14.1292 | + | 3.67430i | −0.497988 | + | 0.129502i | ||||
\(806\) | −17.0845 | + | 19.7811i | −0.601777 | + | 0.696760i | ||||
\(807\) | 2.44911 | + | 4.24198i | 0.0862127 | + | 0.149325i | ||||
\(808\) | −16.7460 | + | 4.48707i | −0.589121 | + | 0.157854i | ||||
\(809\) | 17.1277 | − | 29.6660i | 0.602177 | − | 1.04300i | −0.390313 | − | 0.920682i | \(-0.627633\pi\) |
0.992491 | − | 0.122320i | \(-0.0390333\pi\) | |||||||
\(810\) | −0.900247 | − | 1.55927i | −0.0316315 | − | 0.0547873i | ||||
\(811\) | 18.2145 | + | 18.2145i | 0.639596 | + | 0.639596i | 0.950456 | − | 0.310860i | \(-0.100617\pi\) |
−0.310860 | + | 0.950456i | \(0.600617\pi\) | |||||||
\(812\) | −2.61048 | + | 4.44536i | −0.0916099 | + | 0.156001i | ||||
\(813\) | 13.8197 | + | 13.8197i | 0.484677 | + | 0.484677i | ||||
\(814\) | −4.95750 | + | 18.5017i | −0.173760 | + | 0.648483i | ||||
\(815\) | −13.2499 | − | 7.64982i | −0.464123 | − | 0.267962i | ||||
\(816\) | 0.193463 | + | 0.111696i | 0.00677257 | + | 0.00391014i | ||||
\(817\) | 9.03850 | + | 2.42186i | 0.316217 | + | 0.0847301i | ||||
\(818\) | −18.1095 | −0.633185 | ||||||||
\(819\) | 1.85933 | − | 9.35644i | 0.0649703 | − | 0.326940i | ||||
\(820\) | 18.1302 | 0.633133 | ||||||||
\(821\) | −27.9819 | − | 7.49771i | −0.976573 | − | 0.261672i | −0.264972 | − | 0.964256i | \(-0.585363\pi\) |
−0.711601 | + | 0.702584i | \(0.752030\pi\) | |||||||
\(822\) | −14.0167 | − | 8.09256i | −0.488890 | − | 0.282261i | ||||
\(823\) | −5.31305 | − | 3.06749i | −0.185201 | − | 0.106926i | 0.404533 | − | 0.914524i | \(-0.367434\pi\) |
−0.589734 | + | 0.807597i | \(0.700767\pi\) | |||||||
\(824\) | −0.0894836 | + | 0.333957i | −0.00311731 | + | 0.0116340i | ||||
\(825\) | 3.94715 | + | 3.94715i | 0.137422 | + | 0.137422i | ||||
\(826\) | −12.6592 | − | 0.0934727i | −0.440468 | − | 0.00325233i | ||||
\(827\) | 15.7475 | + | 15.7475i | 0.547595 | + | 0.547595i | 0.925744 | − | 0.378150i | \(-0.123440\pi\) |
−0.378150 | + | 0.925744i | \(0.623440\pi\) | |||||||
\(828\) | −1.53234 | − | 2.65409i | −0.0532526 | − | 0.0922361i | ||||
\(829\) | −21.7442 | + | 37.6621i | −0.755209 | + | 1.30806i | 0.190062 | + | 0.981772i | \(0.439131\pi\) |
−0.945271 | + | 0.326287i | \(0.894202\pi\) | |||||||
\(830\) | −5.85807 | + | 1.56966i | −0.203337 | + | 0.0544839i | ||||
\(831\) | −11.2564 | − | 19.4967i | −0.390481 | − | 0.676332i | ||||
\(832\) | −2.72871 | − | 2.35673i | −0.0946009 | − | 0.0817048i | ||||
\(833\) | 0.801785 | − | 1.34255i | 0.0277802 | − | 0.0465166i | ||||
\(834\) | 12.2286 | − | 12.2286i | 0.423440 | − | 0.423440i | ||||
\(835\) | 15.5711 | + | 26.9700i | 0.538861 | + | 0.933335i | ||||
\(836\) | −1.26121 | + | 2.18448i | −0.0436199 | + | 0.0755519i | ||||
\(837\) | 1.87625 | + | 7.00225i | 0.0648526 | + | 0.242033i | ||||
\(838\) | −6.98801 | + | 26.0796i | −0.241397 | + | 0.900905i | ||||
\(839\) | −20.1834 | + | 20.1834i | −0.696808 | + | 0.696808i | −0.963721 | − | 0.266913i | \(-0.913996\pi\) |
0.266913 | + | 0.963721i | \(0.413996\pi\) | |||||||
\(840\) | −0.0351730 | + | 4.76353i | −0.00121358 | + | 0.164357i | ||||
\(841\) | −25.2035 | −0.869085 | ||||||||
\(842\) | −27.4768 | + | 15.8637i | −0.946912 | + | 0.546700i | ||||
\(843\) | −4.61691 | − | 17.2306i | −0.159015 | − | 0.593452i | ||||
\(844\) | −0.309986 | − | 0.178971i | −0.0106702 | − | 0.00616043i | ||||
\(845\) | −23.2498 | − | 2.70364i | −0.799816 | − | 0.0930080i | ||||
\(846\) | 0.226686i | 0.00779363i | ||||||||
\(847\) | −1.20179 | − | 2.11752i | −0.0412940 | − | 0.0727588i | ||||
\(848\) | 0.0835135 | 0.00286787 | ||||||||
\(849\) | −1.51124 | + | 0.872513i | −0.0518655 | + | 0.0299446i | ||||
\(850\) | 0.379389 | − | 0.101657i | 0.0130129 | − | 0.00348681i | ||||
\(851\) | −4.78546 | − | 17.8596i | −0.164044 | − | 0.612219i | ||||
\(852\) | 11.5808 | + | 3.10307i | 0.396752 | + | 0.106309i | ||||
\(853\) | −2.51650 | + | 2.51650i | −0.0861635 | + | 0.0861635i | −0.748875 | − | 0.662711i | \(-0.769406\pi\) |
0.662711 | + | 0.748875i | \(0.269406\pi\) | |||||||
\(854\) | −4.33687 | − | 16.6770i | −0.148404 | − | 0.570675i | ||||
\(855\) | − | 1.43049i | − | 0.0489218i | ||||||
\(856\) | 0.0697118 | − | 0.260168i | 0.00238270 | − | 0.00889236i | ||||
\(857\) | −19.3955 | + | 33.5940i | −0.662538 | + | 1.14755i | 0.317409 | + | 0.948289i | \(0.397187\pi\) |
−0.979947 | + | 0.199260i | \(0.936146\pi\) | |||||||
\(858\) | 10.8115 | − | 3.76147i | 0.369098 | − | 0.128414i | ||||
\(859\) | 50.3485 | − | 29.0687i | 1.71787 | − | 0.991813i | 0.795085 | − | 0.606497i | \(-0.207426\pi\) |
0.922785 | − | 0.385315i | \(-0.125907\pi\) | |||||||
\(860\) | 14.9946 | + | 14.9946i | 0.511313 | + | 0.511313i | ||||
\(861\) | 25.7840 | − | 6.70514i | 0.878715 | − | 0.228511i | ||||
\(862\) | − | 16.7214i | − | 0.569534i | ||||||
\(863\) | 36.6383 | + | 9.81720i | 1.24718 | + | 0.334181i | 0.821247 | − | 0.570572i | \(-0.193279\pi\) |
0.425935 | + | 0.904754i | \(0.359945\pi\) | |||||||
\(864\) | −0.965926 | + | 0.258819i | −0.0328615 | + | 0.00880520i | ||||
\(865\) | −17.9336 | + | 4.80529i | −0.609760 | + | 0.163385i | ||||
\(866\) | −28.6966 | − | 7.68924i | −0.975152 | − | 0.261291i | ||||
\(867\) | − | 16.9501i | − | 0.575655i | ||||||
\(868\) | 5.10074 | − | 18.4891i | 0.173130 | − | 0.627560i | ||||
\(869\) | −12.9716 | − | 12.9716i | −0.440033 | − | 0.440033i | ||||
\(870\) | 3.03820 | − | 1.75411i | 0.103005 | − | 0.0594698i | ||||
\(871\) | −9.44391 | − | 4.56871i | −0.319995 | − | 0.154805i | ||||
\(872\) | −9.37603 | + | 16.2398i | −0.317512 | + | 0.549948i | ||||
\(873\) | −3.09469 | + | 11.5495i | −0.104739 | + | 0.390892i | ||||
\(874\) | − | 2.43489i | − | 0.0823613i | ||||||
\(875\) | 22.5958 | + | 22.9320i | 0.763877 | + | 0.775242i | ||||
\(876\) | −3.51460 | + | 3.51460i | −0.118747 | + | 0.118747i | ||||
\(877\) | −15.9796 | − | 4.28173i | −0.539593 | − | 0.144584i | −0.0212787 | − | 0.999774i | \(-0.506774\pi\) |
−0.518315 | + | 0.855190i | \(0.673440\pi\) | |||||||
\(878\) | −1.95767 | − | 7.30613i | −0.0660682 | − | 0.246570i | ||||
\(879\) | 27.3837 | − | 7.33744i | 0.923629 | − | 0.247486i | ||||
\(880\) | −4.95048 | + | 2.85816i | −0.166881 | + | 0.0963485i | ||||
\(881\) | −15.2653 | −0.514301 | −0.257150 | − | 0.966371i | \(-0.582784\pi\) | ||||
−0.257150 | + | 0.966371i | \(0.582784\pi\) | |||||||
\(882\) | 1.71169 | + | 6.78750i | 0.0576356 | + | 0.228547i | ||||
\(883\) | − | 31.6496i | − | 1.06509i | −0.846400 | − | 0.532547i | \(-0.821235\pi\) | ||
0.846400 | − | 0.532547i | \(-0.178765\pi\) | |||||||
\(884\) | 0.151154 | − | 0.791141i | 0.00508386 | − | 0.0266090i | ||||
\(885\) | 7.46088 | + | 4.30754i | 0.250795 | + | 0.144796i | ||||
\(886\) | −0.993266 | − | 3.70692i | −0.0333694 | − | 0.124536i | ||||
\(887\) | −36.8469 | + | 21.2736i | −1.23720 | + | 0.714297i | −0.968521 | − | 0.248933i | \(-0.919920\pi\) |
−0.268678 | + | 0.963230i | \(0.586587\pi\) | |||||||
\(888\) | −6.03312 | −0.202458 | ||||||||
\(889\) | −5.37343 | − | 0.0396763i | −0.180219 | − | 0.00133070i | ||||
\(890\) | 12.1478 | − | 12.1478i | 0.407197 | − | 0.407197i | ||||
\(891\) | 0.821714 | − | 3.06668i | 0.0275285 | − | 0.102738i | ||||
\(892\) | 4.27853 | + | 15.9677i | 0.143256 | + | 0.534638i | ||||
\(893\) | −0.0900509 | + | 0.155973i | −0.00301344 | + | 0.00521943i | ||||
\(894\) | −11.1381 | − | 19.2918i | −0.372514 | − | 0.645213i | ||||
\(895\) | 18.0789 | − | 18.0789i | 0.604310 | − | 0.604310i | ||||
\(896\) | 2.55047 | + | 0.703622i | 0.0852053 | + | 0.0235064i | ||||
\(897\) | −7.22262 | + | 8.36262i | −0.241156 | + | 0.279220i | ||||
\(898\) | −17.2693 | − | 29.9113i | −0.576285 | − | 0.998155i | ||||
\(899\) | −13.6437 | + | 3.65582i | −0.455043 | + | 0.121928i | ||||
\(900\) | −0.879111 | + | 1.52266i | −0.0293037 | + | 0.0507555i | ||||
\(901\) | 0.00932813 | + | 0.0161568i | 0.000310765 | + | 0.000538261i | ||||
\(902\) | 22.6058 | + | 22.6058i | 0.752691 | + | 0.752691i | ||||
\(903\) | 26.8702 | + | 15.7792i | 0.894186 | + | 0.525099i | ||||
\(904\) | 1.49076 | + | 1.49076i | 0.0495819 | + | 0.0495819i | ||||
\(905\) | 10.0917 | − | 37.6628i | 0.335460 | − | 1.25195i | ||||
\(906\) | 5.20619 | + | 3.00579i | 0.172964 | + | 0.0998608i | ||||
\(907\) | −23.3567 | − | 13.4850i | −0.775547 | − | 0.447762i | 0.0593026 | − | 0.998240i | \(-0.481112\pi\) |
−0.834850 | + | 0.550478i | \(0.814446\pi\) | |||||||
\(908\) | 5.48817 | + | 1.47055i | 0.182131 | + | 0.0488019i | ||||
\(909\) | 17.3367 | 0.575022 | ||||||||
\(910\) | 16.2631 | − | 5.52389i | 0.539117 | − | 0.183115i | ||||
\(911\) | 39.5322 | 1.30976 | 0.654880 | − | 0.755733i | \(-0.272719\pi\) | ||||
0.654880 | + | 0.755733i | \(0.272719\pi\) | |||||||
\(912\) | −0.767427 | − | 0.205632i | −0.0254121 | − | 0.00680914i | ||||
\(913\) | −9.26135 | − | 5.34704i | −0.306506 | − | 0.176961i | ||||
\(914\) | −20.1889 | − | 11.6561i | −0.667789 | − | 0.385548i | ||||
\(915\) | −3.03505 | + | 11.3270i | −0.100336 | + | 0.374458i | ||||
\(916\) | 13.5819 | + | 13.5819i | 0.448759 | + | 0.448759i | ||||
\(917\) | −6.82755 | − | 12.0299i | −0.225466 | − | 0.397264i | ||||
\(918\) | −0.157962 | − | 0.157962i | −0.00521353 | − | 0.00521353i | ||||
\(919\) | −22.1455 | − | 38.3570i | −0.730511 | − | 1.26528i | −0.956665 | − | 0.291191i | \(-0.905949\pi\) |
0.226154 | − | 0.974092i | \(-0.427385\pi\) | |||||||
\(920\) | 2.75897 | − | 4.77868i | 0.0909606 | − | 0.157548i | ||||
\(921\) | −11.7582 | + | 3.15060i | −0.387446 | + | 0.103816i | ||||
\(922\) | 3.03190 | + | 5.25141i | 0.0998504 | + | 0.172946i | ||||
\(923\) | −3.15356 | − | 43.1130i | −0.103801 | − | 1.41908i | ||||
\(924\) | −5.98331 | + | 5.89560i | −0.196837 | + | 0.193951i | ||||
\(925\) | −7.50068 | + | 7.50068i | −0.246621 | + | 0.246621i | ||||
\(926\) | 19.9858 | + | 34.6164i | 0.656774 | + | 1.13757i | ||||
\(927\) | 0.172869 | − | 0.299418i | 0.00567776 | − | 0.00983417i | ||||
\(928\) | −0.504302 | − | 1.88208i | −0.0165545 | − | 0.0617823i | ||||
\(929\) | −8.08638 | + | 30.1788i | −0.265306 | + | 0.990134i | 0.696758 | + | 0.717307i | \(0.254625\pi\) |
−0.962063 | + | 0.272827i | \(0.912041\pi\) | |||||||
\(930\) | −9.22934 | + | 9.22934i | −0.302642 | + | 0.302642i | ||||
\(931\) | −1.51859 | + | 5.35015i | −0.0497698 | + | 0.175344i | ||||
\(932\) | 10.7716 | 0.352836 | ||||||||
\(933\) | −2.98320 | + | 1.72235i | −0.0976655 | + | 0.0563872i | ||||
\(934\) | −0.270755 | − | 1.01047i | −0.00885937 | − | 0.0330636i | ||||
\(935\) | −1.10590 | − | 0.638490i | −0.0361667 | − | 0.0208809i | ||||
\(936\) | 2.02576 | + | 2.98266i | 0.0662141 | + | 0.0974914i | ||||
\(937\) | 22.7574i | 0.743453i | 0.928342 | + | 0.371726i | \(0.121234\pi\) | ||||
−0.928342 | + | 0.371726i | \(0.878766\pi\) | |||||||
\(938\) | 7.69806 | + | 0.0568409i | 0.251351 | + | 0.00185592i | ||||
\(939\) | −10.1278 | −0.330508 | ||||||||
\(940\) | −0.353466 | + | 0.204073i | −0.0115288 | + | 0.00665614i | ||||
\(941\) | −18.6295 | + | 4.99176i | −0.607304 | + | 0.162727i | −0.549350 | − | 0.835593i | \(-0.685125\pi\) |
−0.0579545 | + | 0.998319i | \(0.518458\pi\) | |||||||
\(942\) | −0.279109 | − | 1.04165i | −0.00909388 | − | 0.0339388i | ||||
\(943\) | −29.8085 | − | 7.98715i | −0.970697 | − | 0.260097i | ||||
\(944\) | 3.38339 | − | 3.38339i | 0.110120 | − | 0.110120i | ||||
\(945\) | 1.26687 | − | 4.59211i | 0.0412112 | − | 0.149381i | ||||
\(946\) | 37.3924i | 1.21573i | ||||||||
\(947\) | 3.52731 | − | 13.1641i | 0.114622 | − | 0.427776i | −0.884636 | − | 0.466282i | \(-0.845593\pi\) |
0.999258 | + | 0.0385061i | \(0.0122599\pi\) | |||||||
\(948\) | 2.88905 | − | 5.00398i | 0.0938320 | − | 0.162522i | ||||
\(949\) | 16.1324 | + | 7.80442i | 0.523679 | + | 0.253342i | ||||
\(950\) | −1.20976 | + | 0.698453i | −0.0392496 | + | 0.0226608i | ||||
\(951\) | 8.74773 | + | 8.74773i | 0.283665 | + | 0.283665i | ||||
\(952\) | 0.148753 | + | 0.572015i | 0.00482111 | + | 0.0185391i | ||||
\(953\) | 18.1765i | 0.588796i | 0.955683 | + | 0.294398i | \(0.0951192\pi\) | ||||
−0.955683 | + | 0.294398i | \(0.904881\pi\) | |||||||
\(954\) | −0.0806679 | − | 0.0216149i | −0.00261172 | − | 0.000699808i | ||||
\(955\) | −10.9134 | + | 2.92425i | −0.353151 | + | 0.0946264i | ||||
\(956\) | 4.22951 | − | 1.13329i | 0.136792 | − | 0.0366534i | ||||
\(957\) | 5.97534 | + | 1.60109i | 0.193155 | + | 0.0517558i | ||||
\(958\) | 13.6460i | 0.440882i | ||||||||
\(959\) | −10.7774 | − | 41.4434i | −0.348020 | − | 1.33828i | ||||
\(960\) | −1.27314 | − | 1.27314i | −0.0410905 | − | 0.0410905i | ||||
\(961\) | 18.6644 | − | 10.7759i | 0.602079 | − | 0.347610i | ||||
\(962\) | 7.14784 | + | 20.5448i | 0.230456 | + | 0.662392i | ||||
\(963\) | −0.134673 | + | 0.233260i | −0.00433977 | + | 0.00751670i | ||||
\(964\) | 5.09930 | − | 19.0309i | 0.164238 | − | 0.612943i | ||||
\(965\) | 14.3930i | 0.463329i | ||||||||
\(966\) | 2.15638 | − | 7.81639i | 0.0693803 | − | 0.251488i | ||||
\(967\) | 40.1221 | − | 40.1221i | 1.29024 | − | 1.29024i | 0.355604 | − | 0.934637i | \(-0.384275\pi\) |
0.934637 | − | 0.355604i | \(-0.115725\pi\) | |||||||
\(968\) | 0.888905 | + | 0.238181i | 0.0285705 | + | 0.00765544i | ||||
\(969\) | −0.0459365 | − | 0.171437i | −0.00147569 | − | 0.00550736i | ||||
\(970\) | −20.7949 | + | 5.57197i | −0.667683 | + | 0.178905i | ||||
\(971\) | −21.2164 | + | 12.2493i | −0.680866 | + | 0.393098i | −0.800181 | − | 0.599758i | \(-0.795263\pi\) |
0.119315 | + | 0.992856i | \(0.461930\pi\) | |||||||
\(972\) | 1.00000 | 0.0320750 | ||||||||
\(973\) | 45.7538 | + | 0.337837i | 1.46680 | + | 0.0108306i | ||||
\(974\) | − | 37.0689i | − | 1.18776i | ||||||
\(975\) | 6.22673 | + | 1.18967i | 0.199415 | + | 0.0380998i | ||||
\(976\) | 5.64039 | + | 3.25648i | 0.180544 | + | 0.104237i | ||||
\(977\) | −9.07108 | − | 33.8537i | −0.290209 | − | 1.08308i | −0.944948 | − | 0.327221i | \(-0.893888\pi\) |
0.654738 | − | 0.755856i | \(-0.272779\pi\) | |||||||
\(978\) | 7.35903 | − | 4.24874i | 0.235316 | − | 0.135860i | ||||
\(979\) | 30.2933 | 0.968180 | ||||||||
\(980\) | −9.04262 | + | 8.77942i | −0.288856 | + | 0.280448i | ||||
\(981\) | 13.2597 | − | 13.2597i | 0.423350 | − | 0.423350i | ||||
\(982\) | −7.74278 | + | 28.8964i | −0.247082 | + | 0.922122i | ||||
\(983\) | −7.13708 | − | 26.6359i | −0.227638 | − | 0.849555i | −0.981331 | − | 0.192328i | \(-0.938396\pi\) |
0.753693 | − | 0.657226i | \(-0.228271\pi\) | |||||||
\(984\) | −5.03478 | + | 8.72049i | −0.160503 | + | 0.277999i | ||||
\(985\) | 23.2403 | + | 40.2534i | 0.740497 | + | 1.28258i | ||||
\(986\) | 0.307785 | − | 0.307785i | 0.00980186 | − | 0.00980186i | ||||
\(987\) | −0.427210 | + | 0.420948i | −0.0135983 | + | 0.0133989i | ||||
\(988\) | 0.208977 | + | 2.85697i | 0.00664845 | + | 0.0908925i | ||||
\(989\) | −18.0474 | − | 31.2590i | −0.573874 | − | 0.993979i | ||||
\(990\) | 5.52154 | − | 1.47949i | 0.175486 | − | 0.0470213i | ||||
\(991\) | −29.1505 | + | 50.4902i | −0.925997 | + | 1.60387i | −0.136048 | + | 0.990702i | \(0.543440\pi\) |
−0.789949 | + | 0.613172i | \(0.789893\pi\) | |||||||
\(992\) | 3.62463 | + | 6.27805i | 0.115082 | + | 0.199328i | ||||
\(993\) | 17.6752 | + | 17.6752i | 0.560907 | + | 0.560907i | ||||
\(994\) | 15.6571 | + | 27.5874i | 0.496614 | + | 0.875018i | ||||
\(995\) | 29.1865 | + | 29.1865i | 0.925273 | + | 0.925273i | ||||
\(996\) | 0.871797 | − | 3.25359i | 0.0276239 | − | 0.103094i | ||||
\(997\) | −33.7793 | − | 19.5025i | −1.06980 | − | 0.617649i | −0.141673 | − | 0.989913i | \(-0.545248\pi\) |
−0.928127 | + | 0.372264i | \(0.878582\pi\) | |||||||
\(998\) | 9.53083 | + | 5.50262i | 0.301693 | + | 0.174183i | ||||
\(999\) | 5.82755 | + | 1.56149i | 0.184376 | + | 0.0494033i |
(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 | 546.2.bz.b.31.4 | yes | 40 | |
7.5 | odd | 6 | 546.2.bz.a.187.9 | yes | 40 | ||
13.8 | odd | 4 | 546.2.bz.a.73.9 | ✓ | 40 | ||
91.47 | even | 12 | inner | 546.2.bz.b.229.4 | yes | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
546.2.bz.a.73.9 | ✓ | 40 | 13.8 | odd | 4 | ||
546.2.bz.a.187.9 | yes | 40 | 7.5 | odd | 6 | ||
546.2.bz.b.31.4 | yes | 40 | 1.1 | even | 1 | trivial | |
546.2.bz.b.229.4 | yes | 40 | 91.47 | even | 12 | inner |