Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [43,4,Mod(9,43)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(43, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("43.9");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 43 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 43.g (of order \(21\), 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: | \(2.53708213025\) |
Analytic rank: | \(0\) |
Dimension: | \(120\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 9.3 | ||
Character | \(\chi\) | \(=\) | 43.9 |
Dual form | 43.4.g.a.24.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{1}{21}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.84616 | − | 2.31501i | −0.652717 | − | 0.818481i | 0.339812 | − | 0.940493i | \(-0.389637\pi\) |
−0.992529 | + | 0.122013i | \(0.961065\pi\) | |||||||
\(3\) | 0.851997 | + | 0.128418i | 0.163967 | + | 0.0247140i | 0.230513 | − | 0.973069i | \(-0.425960\pi\) |
−0.0665457 | + | 0.997783i | \(0.521198\pi\) | |||||||
\(4\) | −0.170806 | + | 0.748350i | −0.0213507 | + | 0.0935437i | ||||
\(5\) | −8.91021 | − | 6.07488i | −0.796954 | − | 0.543354i | 0.0950017 | − | 0.995477i | \(-0.469714\pi\) |
−0.891956 | + | 0.452123i | \(0.850667\pi\) | |||||||
\(6\) | −1.27563 | − | 2.20946i | −0.0867959 | − | 0.150335i | ||||
\(7\) | 4.30159 | − | 7.45057i | 0.232264 | − | 0.402293i | −0.726210 | − | 0.687473i | \(-0.758720\pi\) |
0.958474 | + | 0.285180i | \(0.0920533\pi\) | |||||||
\(8\) | −19.2945 | + | 9.29173i | −0.852703 | + | 0.410640i | ||||
\(9\) | −25.0911 | − | 7.73957i | −0.929298 | − | 0.286651i | ||||
\(10\) | 2.38626 | + | 31.8425i | 0.0754603 | + | 1.00695i | ||||
\(11\) | −0.134045 | − | 0.587291i | −0.00367420 | − | 0.0160977i | 0.973058 | − | 0.230562i | \(-0.0740565\pi\) |
−0.976732 | + | 0.214464i | \(0.931199\pi\) | |||||||
\(12\) | −0.241628 | + | 0.615657i | −0.00581266 | + | 0.0148104i | ||||
\(13\) | 2.09097 | − | 27.9021i | 0.0446101 | − | 0.595281i | −0.929444 | − | 0.368964i | \(-0.879713\pi\) |
0.974054 | − | 0.226317i | \(-0.0726684\pi\) | |||||||
\(14\) | −25.1896 | + | 3.79672i | −0.480872 | + | 0.0724797i | ||||
\(15\) | −6.81135 | − | 6.32001i | −0.117246 | − | 0.108788i | ||||
\(16\) | 62.6638 | + | 30.1773i | 0.979122 | + | 0.471520i | ||||
\(17\) | 55.0315 | − | 37.5198i | 0.785123 | − | 0.535288i | −0.103116 | − | 0.994669i | \(-0.532881\pi\) |
0.888239 | + | 0.459382i | \(0.151929\pi\) | |||||||
\(18\) | 28.4049 | + | 72.3746i | 0.371950 | + | 0.947714i | ||||
\(19\) | 154.353 | − | 47.6114i | 1.86373 | − | 0.574885i | 0.866617 | − | 0.498975i | \(-0.166290\pi\) |
0.997115 | − | 0.0759104i | \(-0.0241863\pi\) | |||||||
\(20\) | 6.06805 | − | 5.63033i | 0.0678429 | − | 0.0629490i | ||||
\(21\) | 4.62173 | − | 5.79546i | 0.0480259 | − | 0.0602225i | ||||
\(22\) | −1.11212 | + | 1.39455i | −0.0107775 | + | 0.0135145i | ||||
\(23\) | −33.1040 | + | 30.7160i | −0.300116 | + | 0.278467i | −0.815827 | − | 0.578296i | \(-0.803718\pi\) |
0.515712 | + | 0.856762i | \(0.327528\pi\) | |||||||
\(24\) | −17.6320 | + | 5.43877i | −0.149964 | + | 0.0462576i | ||||
\(25\) | −3.17989 | − | 8.10222i | −0.0254391 | − | 0.0648178i | ||||
\(26\) | −68.4540 | + | 46.6711i | −0.516344 | + | 0.352037i | ||||
\(27\) | −41.3435 | − | 19.9100i | −0.294688 | − | 0.141914i | ||||
\(28\) | 4.84090 | + | 4.49170i | 0.0326730 | + | 0.0303161i | ||||
\(29\) | −46.8714 | + | 7.06473i | −0.300131 | + | 0.0452375i | −0.297381 | − | 0.954759i | \(-0.596113\pi\) |
−0.00274959 | + | 0.999996i | \(0.500875\pi\) | |||||||
\(30\) | −2.05605 | + | 27.4361i | −0.0125127 | + | 0.166971i | ||||
\(31\) | −4.41961 | + | 11.2610i | −0.0256060 | + | 0.0652430i | −0.943105 | − | 0.332495i | \(-0.892109\pi\) |
0.917499 | + | 0.397738i | \(0.130205\pi\) | |||||||
\(32\) | −7.70392 | − | 33.7531i | −0.0425585 | − | 0.186461i | ||||
\(33\) | −0.0387875 | − | 0.517584i | −0.000204607 | − | 0.00273030i | ||||
\(34\) | −188.456 | − | 58.1309i | −0.950585 | − | 0.293217i | ||||
\(35\) | −83.5894 | + | 40.2545i | −0.403691 | + | 0.194407i | ||||
\(36\) | 10.0776 | − | 17.4549i | 0.0466556 | − | 0.0808098i | ||||
\(37\) | 94.0547 | + | 162.907i | 0.417905 | + | 0.723833i | 0.995729 | − | 0.0923288i | \(-0.0294311\pi\) |
−0.577823 | + | 0.816162i | \(0.696098\pi\) | |||||||
\(38\) | −395.181 | − | 269.430i | −1.68702 | − | 1.15019i | ||||
\(39\) | 5.36463 | − | 23.5040i | 0.0220264 | − | 0.0965038i | ||||
\(40\) | 228.364 | + | 34.4203i | 0.902688 | + | 0.136058i | ||||
\(41\) | −40.0563 | − | 50.2290i | −0.152579 | − | 0.191328i | 0.699667 | − | 0.714469i | \(-0.253332\pi\) |
−0.852246 | + | 0.523141i | \(0.824760\pi\) | |||||||
\(42\) | −21.9490 | −0.0806383 | ||||||||
\(43\) | −118.858 | − | 255.695i | −0.421527 | − | 0.906816i | ||||
\(44\) | 0.462395 | 0.00158429 | ||||||||
\(45\) | 176.550 | + | 221.386i | 0.584855 | + | 0.733385i | ||||
\(46\) | 132.223 | + | 19.9295i | 0.423810 | + | 0.0638791i | ||||
\(47\) | 46.8246 | − | 205.152i | 0.145321 | − | 0.636691i | −0.848828 | − | 0.528669i | \(-0.822691\pi\) |
0.994149 | − | 0.108022i | \(-0.0344517\pi\) | |||||||
\(48\) | 49.5140 | + | 33.7581i | 0.148890 | + | 0.101512i | ||||
\(49\) | 134.493 | + | 232.948i | 0.392107 | + | 0.679149i | ||||
\(50\) | −12.8862 | + | 22.3195i | −0.0364476 | + | 0.0631290i | ||||
\(51\) | 51.7048 | − | 24.8997i | 0.141963 | − | 0.0683659i | ||||
\(52\) | 20.5234 | + | 6.33062i | 0.0547323 | + | 0.0168827i | ||||
\(53\) | −33.4971 | − | 446.988i | −0.0868148 | − | 1.15846i | −0.855138 | − | 0.518400i | \(-0.826528\pi\) |
0.768323 | − | 0.640062i | \(-0.221091\pi\) | |||||||
\(54\) | 30.2349 | + | 132.468i | 0.0761935 | + | 0.333826i | ||||
\(55\) | −2.37335 | + | 6.04720i | −0.00581859 | + | 0.0148255i | ||||
\(56\) | −13.7682 | + | 183.724i | −0.0328545 | + | 0.438413i | ||||
\(57\) | 137.622 | − | 20.7432i | 0.319798 | − | 0.0482018i | ||||
\(58\) | 102.887 | + | 95.4653i | 0.232927 | + | 0.216124i | ||||
\(59\) | −151.061 | − | 72.7471i | −0.333330 | − | 0.160523i | 0.259731 | − | 0.965681i | \(-0.416366\pi\) |
−0.593060 | + | 0.805158i | \(0.702081\pi\) | |||||||
\(60\) | 5.89300 | − | 4.01778i | 0.0126797 | − | 0.00864488i | ||||
\(61\) | 282.594 | + | 720.038i | 0.593155 | + | 1.51133i | 0.840170 | + | 0.542323i | \(0.182455\pi\) |
−0.247015 | + | 0.969012i | \(0.579450\pi\) | |||||||
\(62\) | 34.2286 | − | 10.5581i | 0.0701135 | − | 0.0216272i | ||||
\(63\) | −165.596 | + | 153.650i | −0.331160 | + | 0.307272i | ||||
\(64\) | 283.001 | − | 354.872i | 0.552737 | − | 0.693110i | ||||
\(65\) | −188.133 | + | 235.911i | −0.359000 | + | 0.450172i | ||||
\(66\) | −1.12660 | + | 1.04534i | −0.00210114 | + | 0.00194958i | ||||
\(67\) | −787.823 | + | 243.011i | −1.43654 | + | 0.443113i | −0.912673 | − | 0.408690i | \(-0.865986\pi\) |
−0.523862 | + | 0.851803i | \(0.675509\pi\) | |||||||
\(68\) | 18.6782 | + | 47.5914i | 0.0333099 | + | 0.0848721i | ||||
\(69\) | −32.1490 | + | 21.9188i | −0.0560911 | + | 0.0382422i | ||||
\(70\) | 247.509 | + | 119.194i | 0.422615 | + | 0.203520i | ||||
\(71\) | 298.639 | + | 277.096i | 0.499182 | + | 0.463173i | 0.889124 | − | 0.457666i | \(-0.151315\pi\) |
−0.389942 | + | 0.920839i | \(0.627505\pi\) | |||||||
\(72\) | 556.032 | − | 83.8084i | 0.910126 | − | 0.137179i | ||||
\(73\) | 39.4167 | − | 525.980i | 0.0631970 | − | 0.843305i | −0.872074 | − | 0.489373i | \(-0.837225\pi\) |
0.935271 | − | 0.353932i | \(-0.115155\pi\) | |||||||
\(74\) | 203.493 | − | 518.491i | 0.319670 | − | 0.814505i | ||||
\(75\) | −1.66878 | − | 7.31142i | −0.00256926 | − | 0.0112567i | ||||
\(76\) | 9.26569 | + | 123.642i | 0.0139848 | + | 0.186615i | ||||
\(77\) | −4.95226 | − | 1.52757i | −0.00732938 | − | 0.00226081i | ||||
\(78\) | −64.3160 | + | 30.9729i | −0.0933635 | + | 0.0449615i | ||||
\(79\) | 363.369 | − | 629.373i | 0.517496 | − | 0.896329i | −0.482298 | − | 0.876007i | \(-0.660198\pi\) |
0.999793 | − | 0.0203214i | \(-0.00646895\pi\) | |||||||
\(80\) | −375.024 | − | 649.561i | −0.524112 | − | 0.907789i | ||||
\(81\) | 553.099 | + | 377.096i | 0.758709 | + | 0.517279i | ||||
\(82\) | −42.3304 | + | 185.462i | −0.0570075 | + | 0.249766i | ||||
\(83\) | −639.634 | − | 96.4094i | −0.845892 | − | 0.127498i | −0.288225 | − | 0.957563i | \(-0.593065\pi\) |
−0.557667 | + | 0.830065i | \(0.688303\pi\) | |||||||
\(84\) | 3.54761 | + | 4.44857i | 0.00460805 | + | 0.00577832i | ||||
\(85\) | −718.271 | −0.916558 | ||||||||
\(86\) | −372.506 | + | 747.211i | −0.467073 | + | 0.936905i | ||||
\(87\) | −40.8415 | −0.0503296 | ||||||||
\(88\) | 8.04328 | + | 10.0860i | 0.00974337 | + | 0.0122178i | ||||
\(89\) | 314.399 | + | 47.3880i | 0.374452 | + | 0.0564395i | 0.333572 | − | 0.942725i | \(-0.391746\pi\) |
0.0408795 | + | 0.999164i | \(0.486984\pi\) | |||||||
\(90\) | 186.573 | − | 817.430i | 0.218517 | − | 0.957385i | ||||
\(91\) | −198.892 | − | 135.602i | −0.229116 | − | 0.156209i | ||||
\(92\) | −17.3320 | − | 30.0199i | −0.0196411 | − | 0.0340194i | ||||
\(93\) | −5.21160 | + | 9.02676i | −0.00581095 | + | 0.0100649i | ||||
\(94\) | −561.375 | + | 270.344i | −0.615973 | + | 0.296637i | ||||
\(95\) | −1664.55 | − | 513.445i | −1.79767 | − | 0.554509i | ||||
\(96\) | −2.22922 | − | 29.7468i | −0.00236998 | − | 0.0316252i | ||||
\(97\) | −52.1444 | − | 228.459i | −0.0545820 | − | 0.239140i | 0.940277 | − | 0.340411i | \(-0.110566\pi\) |
−0.994859 | + | 0.101271i | \(0.967709\pi\) | |||||||
\(98\) | 290.983 | − | 741.412i | 0.299936 | − | 0.764224i | ||||
\(99\) | −1.18204 | + | 15.7732i | −0.00119999 | + | 0.0160128i | ||||
\(100\) | 6.60644 | − | 0.995760i | 0.00660644 | − | 0.000995760i | ||||
\(101\) | 1158.75 | + | 1075.16i | 1.14158 | + | 1.05924i | 0.997571 | + | 0.0696595i | \(0.0221913\pi\) |
0.144013 | + | 0.989576i | \(0.453999\pi\) | |||||||
\(102\) | −153.099 | − | 73.7284i | −0.148618 | − | 0.0715706i | ||||
\(103\) | −604.376 | + | 412.057i | −0.578165 | + | 0.394186i | −0.816798 | − | 0.576924i | \(-0.804253\pi\) |
0.238633 | + | 0.971110i | \(0.423301\pi\) | |||||||
\(104\) | 218.914 | + | 557.785i | 0.206407 | + | 0.525916i | ||||
\(105\) | −76.3873 | + | 23.5624i | −0.0709966 | + | 0.0218995i | ||||
\(106\) | −972.942 | + | 902.758i | −0.891514 | + | 0.827204i | ||||
\(107\) | 984.432 | − | 1234.44i | 0.889426 | − | 1.11531i | −0.103268 | − | 0.994654i | \(-0.532930\pi\) |
0.992695 | − | 0.120652i | \(-0.0384985\pi\) | |||||||
\(108\) | 21.9614 | − | 27.5387i | 0.0195670 | − | 0.0245362i | ||||
\(109\) | −1047.78 | + | 972.195i | −0.920723 | + | 0.854306i | −0.989677 | − | 0.143314i | \(-0.954224\pi\) |
0.0689542 | + | 0.997620i | \(0.478034\pi\) | |||||||
\(110\) | 18.3809 | − | 5.66976i | 0.0159323 | − | 0.00491446i | ||||
\(111\) | 59.2140 | + | 150.875i | 0.0506338 | + | 0.129013i | ||||
\(112\) | 494.392 | − | 337.071i | 0.417104 | − | 0.284377i | ||||
\(113\) | 777.120 | + | 374.241i | 0.646950 | + | 0.311555i | 0.728430 | − | 0.685120i | \(-0.240250\pi\) |
−0.0814802 | + | 0.996675i | \(0.525965\pi\) | |||||||
\(114\) | −302.093 | − | 280.301i | −0.248190 | − | 0.230286i | ||||
\(115\) | 481.560 | − | 72.5835i | 0.390484 | − | 0.0588560i | ||||
\(116\) | 2.71903 | − | 36.2829i | 0.00217634 | − | 0.0290412i | ||||
\(117\) | −268.415 | + | 683.910i | −0.212094 | + | 0.540406i | ||||
\(118\) | 110.472 | + | 484.011i | 0.0861848 | + | 0.377600i | ||||
\(119\) | −42.8213 | − | 571.411i | −0.0329868 | − | 0.440178i | ||||
\(120\) | 190.145 | + | 58.6520i | 0.144648 | + | 0.0446181i | ||||
\(121\) | 1198.86 | − | 577.342i | 0.900723 | − | 0.433765i | ||||
\(122\) | 1145.18 | − | 1983.52i | 0.849836 | − | 1.47196i | ||||
\(123\) | −27.6775 | − | 47.9389i | −0.0202894 | − | 0.0351423i | ||||
\(124\) | −7.67226 | − | 5.23086i | −0.00555636 | − | 0.00378826i | ||||
\(125\) | −320.847 | + | 1405.72i | −0.229579 | + | 1.00585i | ||||
\(126\) | 661.419 | + | 99.6928i | 0.467650 | + | 0.0704868i | ||||
\(127\) | 130.400 | + | 163.517i | 0.0911115 | + | 0.114250i | 0.825298 | − | 0.564698i | \(-0.191007\pi\) |
−0.734186 | + | 0.678948i | \(0.762436\pi\) | |||||||
\(128\) | −1620.97 | −1.11933 | ||||||||
\(129\) | −68.4308 | − | 233.115i | −0.0467054 | − | 0.159105i | ||||
\(130\) | 893.461 | 0.602783 | ||||||||
\(131\) | 1322.58 | + | 1658.47i | 0.882096 | + | 1.10611i | 0.993668 | + | 0.112357i | \(0.0358399\pi\) |
−0.111572 | + | 0.993756i | \(0.535589\pi\) | |||||||
\(132\) | 0.393959 | + | 0.0593797i | 0.000259771 | + | 3.91541e-5i | ||||
\(133\) | 309.229 | − | 1354.82i | 0.201605 | − | 0.883291i | ||||
\(134\) | 2017.02 | + | 1375.18i | 1.30033 | + | 0.886550i | ||||
\(135\) | 247.429 | + | 428.559i | 0.157743 | + | 0.273219i | ||||
\(136\) | −713.179 | + | 1235.26i | −0.449666 | + | 0.778844i | ||||
\(137\) | 2107.95 | − | 1015.13i | 1.31456 | − | 0.633056i | 0.360520 | − | 0.932751i | \(-0.382599\pi\) |
0.954035 | + | 0.299695i | \(0.0968850\pi\) | |||||||
\(138\) | 110.095 | + | 33.9597i | 0.0679121 | + | 0.0209481i | ||||
\(139\) | −168.290 | − | 2245.67i | −0.102692 | − | 1.37033i | −0.775891 | − | 0.630867i | \(-0.782699\pi\) |
0.673199 | − | 0.739461i | \(-0.264920\pi\) | |||||||
\(140\) | −15.8469 | − | 69.4298i | −0.00956649 | − | 0.0419135i | ||||
\(141\) | 66.2396 | − | 168.776i | 0.0395630 | − | 0.100805i | ||||
\(142\) | 90.1461 | − | 1202.92i | 0.0532739 | − | 0.710891i | ||||
\(143\) | −16.6669 | + | 2.51214i | −0.00974657 | + | 0.00146906i | ||||
\(144\) | −1338.74 | − | 1242.17i | −0.774735 | − | 0.718849i | ||||
\(145\) | 460.552 | + | 221.790i | 0.263771 | + | 0.127025i | ||||
\(146\) | −1290.42 | + | 879.793i | −0.731479 | + | 0.498714i | ||||
\(147\) | 84.6726 | + | 215.742i | 0.0475080 | + | 0.121048i | ||||
\(148\) | −137.977 | + | 42.5602i | −0.0766326 | + | 0.0236380i | ||||
\(149\) | −1252.05 | + | 1161.73i | −0.688402 | + | 0.638744i | −0.944731 | − | 0.327846i | \(-0.893677\pi\) |
0.256329 | + | 0.966590i | \(0.417487\pi\) | |||||||
\(150\) | −13.8452 | + | 17.3613i | −0.00753637 | + | 0.00945030i | ||||
\(151\) | 350.445 | − | 439.444i | 0.188866 | − | 0.236831i | −0.678379 | − | 0.734712i | \(-0.737317\pi\) |
0.867245 | + | 0.497882i | \(0.165889\pi\) | |||||||
\(152\) | −2535.76 | + | 2352.84i | −1.35314 | + | 1.25553i | ||||
\(153\) | −1671.18 | + | 515.492i | −0.883054 | + | 0.272386i | ||||
\(154\) | 5.60633 | + | 14.2847i | 0.00293358 | + | 0.00747463i | ||||
\(155\) | 107.789 | − | 73.4891i | 0.0558568 | − | 0.0380825i | ||||
\(156\) | 16.6729 | + | 8.02924i | 0.00855705 | + | 0.00412086i | ||||
\(157\) | −1901.26 | − | 1764.11i | −0.966480 | − | 0.896762i | 0.0282183 | − | 0.999602i | \(-0.491017\pi\) |
−0.994698 | + | 0.102840i | \(0.967207\pi\) | |||||||
\(158\) | −2127.84 | + | 320.721i | −1.07141 | + | 0.161488i | ||||
\(159\) | 28.8618 | − | 385.134i | 0.0143955 | − | 0.192095i | ||||
\(160\) | −136.402 | + | 347.548i | −0.0673972 | + | 0.171725i | ||||
\(161\) | 86.4521 | + | 378.771i | 0.0423191 | + | 0.185412i | ||||
\(162\) | −148.127 | − | 1976.61i | −0.0718390 | − | 0.958625i | ||||
\(163\) | 1235.06 | + | 380.965i | 0.593480 | + | 0.183064i | 0.576923 | − | 0.816799i | \(-0.304253\pi\) |
0.0165571 | + | 0.999863i | \(0.494729\pi\) | |||||||
\(164\) | 44.4307 | − | 21.3967i | 0.0211552 | − | 0.0101878i | ||||
\(165\) | −2.79865 | + | 4.84741i | −0.00132045 | + | 0.00228709i | ||||
\(166\) | 957.679 | + | 1658.75i | 0.447773 | + | 0.775566i | ||||
\(167\) | −3287.91 | − | 2241.66i | −1.52351 | − | 1.03871i | −0.979927 | − | 0.199358i | \(-0.936114\pi\) |
−0.543585 | − | 0.839354i | \(-0.682933\pi\) | |||||||
\(168\) | −35.3239 | + | 154.764i | −0.0162220 | + | 0.0710733i | ||||
\(169\) | 1398.31 | + | 210.761i | 0.636462 | + | 0.0959312i | ||||
\(170\) | 1326.04 | + | 1662.81i | 0.598252 | + | 0.750185i | ||||
\(171\) | −4241.36 | −1.89675 | ||||||||
\(172\) | 211.651 | − | 45.2731i | 0.0938269 | − | 0.0200700i | ||||
\(173\) | 3543.99 | 1.55748 | 0.778742 | − | 0.627344i | \(-0.215858\pi\) | ||||
0.778742 | + | 0.627344i | \(0.215858\pi\) | |||||||
\(174\) | 75.4000 | + | 94.5487i | 0.0328509 | + | 0.0411938i | ||||
\(175\) | −74.0447 | − | 11.1604i | −0.0319843 | − | 0.00482086i | ||||
\(176\) | 9.32306 | − | 40.8470i | 0.00399291 | − | 0.0174941i | ||||
\(177\) | −119.361 | − | 81.3792i | −0.0506879 | − | 0.0345584i | ||||
\(178\) | −470.727 | − | 815.323i | −0.198216 | − | 0.343320i | ||||
\(179\) | 1684.46 | − | 2917.57i | 0.703365 | − | 1.21826i | −0.263913 | − | 0.964547i | \(-0.585013\pi\) |
0.967278 | − | 0.253718i | \(-0.0816536\pi\) | |||||||
\(180\) | −195.830 | + | 94.3069i | −0.0810907 | + | 0.0390512i | ||||
\(181\) | −2875.89 | − | 887.093i | −1.18101 | − | 0.364294i | −0.358766 | − | 0.933428i | \(-0.616802\pi\) |
−0.822245 | + | 0.569134i | \(0.807279\pi\) | |||||||
\(182\) | 53.2657 | + | 710.781i | 0.0216940 | + | 0.289487i | ||||
\(183\) | 148.304 | + | 649.760i | 0.0599066 | + | 0.262468i | ||||
\(184\) | 353.319 | − | 900.242i | 0.141560 | − | 0.360689i | ||||
\(185\) | 151.596 | − | 2022.91i | 0.0602464 | − | 0.803932i | ||||
\(186\) | 30.5185 | − | 4.59993i | 0.0120308 | − | 0.00181335i | ||||
\(187\) | −29.4118 | − | 27.2901i | −0.0115016 | − | 0.0106719i | ||||
\(188\) | 145.528 | + | 70.0824i | 0.0564558 | + | 0.0271877i | ||||
\(189\) | −326.184 | + | 222.388i | −0.125536 | + | 0.0855892i | ||||
\(190\) | 1884.39 | + | 4801.35i | 0.719517 | + | 1.83330i | ||||
\(191\) | 1692.36 | − | 522.025i | 0.641126 | − | 0.197761i | 0.0428885 | − | 0.999080i | \(-0.486344\pi\) |
0.598238 | + | 0.801319i | \(0.295868\pi\) | |||||||
\(192\) | 286.688 | − | 266.008i | 0.107760 | − | 0.0999868i | ||||
\(193\) | 2226.00 | − | 2791.32i | 0.830213 | − | 1.04105i | −0.168256 | − | 0.985743i | \(-0.553813\pi\) |
0.998469 | − | 0.0553113i | \(-0.0176151\pi\) | |||||||
\(194\) | −432.620 | + | 542.488i | −0.160104 | + | 0.200765i | ||||
\(195\) | −190.584 | + | 176.836i | −0.0699897 | + | 0.0649410i | ||||
\(196\) | −197.299 | + | 60.8586i | −0.0719019 | + | 0.0221788i | ||||
\(197\) | 1439.29 | + | 3667.24i | 0.520533 | + | 1.32630i | 0.913536 | + | 0.406759i | \(0.133341\pi\) |
−0.393003 | + | 0.919537i | \(0.628564\pi\) | |||||||
\(198\) | 38.6974 | − | 26.3834i | 0.0138894 | − | 0.00946964i | ||||
\(199\) | 2312.14 | + | 1113.47i | 0.823633 | + | 0.396641i | 0.797724 | − | 0.603023i | \(-0.206037\pi\) |
0.0259098 | + | 0.999664i | \(0.491752\pi\) | |||||||
\(200\) | 136.638 | + | 126.781i | 0.0483088 | + | 0.0448240i | ||||
\(201\) | −702.430 | + | 105.874i | −0.246495 | + | 0.0371532i | ||||
\(202\) | 349.777 | − | 4667.45i | 0.121833 | − | 1.62574i | ||||
\(203\) | −148.985 | + | 379.608i | −0.0515109 | + | 0.131248i | ||||
\(204\) | 9.80222 | + | 42.9463i | 0.00336418 | + | 0.0147394i | ||||
\(205\) | 51.7749 | + | 690.888i | 0.0176396 | + | 0.235384i | ||||
\(206\) | 2069.69 | + | 638.415i | 0.700011 | + | 0.215925i | ||||
\(207\) | 1068.34 | − | 514.487i | 0.358720 | − | 0.172750i | ||||
\(208\) | 973.038 | − | 1685.35i | 0.324366 | − | 0.561818i | ||||
\(209\) | −48.6520 | − | 84.2677i | −0.0161021 | − | 0.0278896i | ||||
\(210\) | 195.570 | + | 133.338i | 0.0642650 | + | 0.0438151i | ||||
\(211\) | −843.892 | + | 3697.33i | −0.275336 | + | 1.20633i | 0.628281 | + | 0.777986i | \(0.283759\pi\) |
−0.903617 | + | 0.428341i | \(0.859098\pi\) | |||||||
\(212\) | 340.225 | + | 51.2806i | 0.110220 | + | 0.0166131i | ||||
\(213\) | 218.855 | + | 274.436i | 0.0704024 | + | 0.0882818i | ||||
\(214\) | −4675.16 | −1.49340 | ||||||||
\(215\) | −494.265 | + | 3000.34i | −0.156784 | + | 0.951729i | ||||
\(216\) | 982.699 | 0.309557 | ||||||||
\(217\) | 64.8894 | + | 81.3687i | 0.0202994 | + | 0.0254547i | ||||
\(218\) | 4185.01 | + | 630.789i | 1.30020 | + | 0.195974i | ||||
\(219\) | 101.128 | − | 443.071i | 0.0312037 | − | 0.136712i | ||||
\(220\) | −4.12004 | − | 2.80899i | −0.00126260 | − | 0.000860829i | ||||
\(221\) | −931.812 | − | 1613.95i | −0.283622 | − | 0.491248i | ||||
\(222\) | 239.959 | − | 415.621i | 0.0725449 | − | 0.125652i | ||||
\(223\) | −1372.98 | + | 661.195i | −0.412295 | + | 0.198551i | −0.628521 | − | 0.777792i | \(-0.716340\pi\) |
0.216226 | + | 0.976343i | \(0.430625\pi\) | |||||||
\(224\) | −284.619 | − | 87.7933i | −0.0848969 | − | 0.0261872i | ||||
\(225\) | 17.0791 | + | 227.904i | 0.00506046 | + | 0.0675272i | ||||
\(226\) | −568.315 | − | 2489.95i | −0.167273 | − | 0.732873i | ||||
\(227\) | −1334.95 | + | 3401.39i | −0.390324 | + | 0.994528i | 0.591765 | + | 0.806110i | \(0.298431\pi\) |
−0.982089 | + | 0.188418i | \(0.939664\pi\) | |||||||
\(228\) | −7.98350 | + | 106.532i | −0.00231895 | + | 0.0309442i | ||||
\(229\) | −401.745 | + | 60.5534i | −0.115931 | + | 0.0174737i | −0.206751 | − | 0.978394i | \(-0.566289\pi\) |
0.0908207 | + | 0.995867i | \(0.471051\pi\) | |||||||
\(230\) | −1057.07 | − | 980.817i | −0.303048 | − | 0.281188i | ||||
\(231\) | −4.02314 | − | 1.93744i | −0.00114590 | − | 0.000551837i | ||||
\(232\) | 838.715 | − | 571.826i | 0.237346 | − | 0.161820i | ||||
\(233\) | 802.570 | + | 2044.92i | 0.225657 | + | 0.574965i | 0.998198 | − | 0.0599995i | \(-0.0191099\pi\) |
−0.772541 | + | 0.634965i | \(0.781015\pi\) | |||||||
\(234\) | 2078.80 | − | 641.224i | 0.580749 | − | 0.179137i | ||||
\(235\) | −1663.49 | + | 1543.49i | −0.461762 | + | 0.428453i | ||||
\(236\) | 80.2424 | − | 100.621i | 0.0221328 | − | 0.0277536i | ||||
\(237\) | 390.412 | − | 489.561i | 0.107004 | − | 0.134179i | ||||
\(238\) | −1243.77 | + | 1154.05i | −0.338746 | + | 0.314310i | ||||
\(239\) | −837.232 | + | 258.252i | −0.226594 | + | 0.0698951i | −0.405973 | − | 0.913885i | \(-0.633067\pi\) |
0.179379 | + | 0.983780i | \(0.442591\pi\) | |||||||
\(240\) | −236.104 | − | 601.584i | −0.0635019 | − | 0.161800i | ||||
\(241\) | −4805.43 | + | 3276.28i | −1.28442 | + | 0.875701i | −0.996633 | − | 0.0819935i | \(-0.973871\pi\) |
−0.287785 | + | 0.957695i | \(0.592919\pi\) | |||||||
\(242\) | −3549.85 | − | 1709.52i | −0.942946 | − | 0.454099i | ||||
\(243\) | 1331.04 | + | 1235.03i | 0.351385 | + | 0.326037i | ||||
\(244\) | −587.109 | + | 88.4925i | −0.154040 | + | 0.0232178i | ||||
\(245\) | 216.774 | − | 2892.64i | 0.0565272 | − | 0.754303i | ||||
\(246\) | −59.8820 | + | 152.577i | −0.0155201 | + | 0.0395445i | ||||
\(247\) | −1005.71 | − | 4406.31i | −0.259077 | − | 1.13509i | ||||
\(248\) | −19.3599 | − | 258.340i | −0.00495708 | − | 0.0661477i | ||||
\(249\) | −532.586 | − | 164.281i | −0.135547 | − | 0.0418108i | ||||
\(250\) | 3846.60 | − | 1852.42i | 0.973121 | − | 0.468630i | ||||
\(251\) | 2310.68 | − | 4002.22i | 0.581072 | − | 1.00645i | −0.414280 | − | 0.910149i | \(-0.635967\pi\) |
0.995353 | − | 0.0962973i | \(-0.0306999\pi\) | |||||||
\(252\) | −86.6994 | − | 150.168i | −0.0216728 | − | 0.0375384i | ||||
\(253\) | 22.4767 | + | 15.3243i | 0.00558536 | + | 0.00380803i | ||||
\(254\) | 137.804 | − | 603.757i | 0.0340416 | − | 0.149146i | ||||
\(255\) | −611.964 | − | 92.2388i | −0.150285 | − | 0.0226518i | ||||
\(256\) | 728.559 | + | 913.585i | 0.177871 | + | 0.223043i | ||||
\(257\) | 731.225 | 0.177481 | 0.0887404 | − | 0.996055i | \(-0.471716\pi\) | ||||
0.0887404 | + | 0.996055i | \(0.471716\pi\) | |||||||
\(258\) | −413.329 | + | 588.785i | −0.0997393 | + | 0.142078i | ||||
\(259\) | 1618.34 | 0.388257 | ||||||||
\(260\) | −144.410 | − | 181.084i | −0.0344459 | − | 0.0431937i | ||||
\(261\) | 1230.73 | + | 185.503i | 0.291879 | + | 0.0439936i | ||||
\(262\) | 1397.67 | − | 6123.59i | 0.329574 | − | 1.44396i | ||||
\(263\) | 3827.66 | + | 2609.65i | 0.897427 | + | 0.611856i | 0.921723 | − | 0.387849i | \(-0.126782\pi\) |
−0.0242954 | + | 0.999705i | \(0.507734\pi\) | |||||||
\(264\) | 5.55763 | + | 9.62610i | 0.00129564 | + | 0.00224411i | ||||
\(265\) | −2416.93 | + | 4186.25i | −0.560268 | + | 0.970412i | ||||
\(266\) | −3707.31 | + | 1785.35i | −0.854548 | + | 0.411529i | ||||
\(267\) | 261.781 | + | 80.7488i | 0.0600028 | + | 0.0185084i | ||||
\(268\) | −47.2925 | − | 631.075i | −0.0107793 | − | 0.143840i | ||||
\(269\) | −1434.60 | − | 6285.40i | −0.325164 | − | 1.42464i | −0.828229 | − | 0.560390i | \(-0.810651\pi\) |
0.503065 | − | 0.864249i | \(-0.332206\pi\) | |||||||
\(270\) | 535.327 | − | 1363.99i | 0.120663 | − | 0.307444i | ||||
\(271\) | −340.861 | + | 4548.48i | −0.0764053 | + | 1.01956i | 0.818851 | + | 0.574006i | \(0.194612\pi\) |
−0.895256 | + | 0.445552i | \(0.853007\pi\) | |||||||
\(272\) | 4580.73 | − | 690.433i | 1.02113 | − | 0.153911i | ||||
\(273\) | −152.042 | − | 141.074i | −0.0337069 | − | 0.0312754i | ||||
\(274\) | −6241.66 | − | 3005.82i | −1.37618 | − | 0.662732i | ||||
\(275\) | −4.33211 | + | 2.95358i | −0.000949949 | + | 0.000647665i | ||||
\(276\) | −10.9117 | − | 27.8026i | −0.00237974 | − | 0.00606347i | ||||
\(277\) | −7150.91 | + | 2205.76i | −1.55111 | + | 0.478453i | −0.947749 | − | 0.319018i | \(-0.896647\pi\) |
−0.603357 | + | 0.797471i | \(0.706171\pi\) | |||||||
\(278\) | −4888.07 | + | 4535.47i | −1.05456 | + | 0.978487i | ||||
\(279\) | 198.048 | − | 248.344i | 0.0424975 | − | 0.0532902i | ||||
\(280\) | 1238.78 | − | 1553.38i | 0.264397 | − | 0.331544i | ||||
\(281\) | 1485.60 | − | 1378.44i | 0.315386 | − | 0.292636i | −0.506555 | − | 0.862207i | \(-0.669081\pi\) |
0.821942 | + | 0.569572i | \(0.192891\pi\) | |||||||
\(282\) | −513.007 | + | 158.242i | −0.108330 | + | 0.0334154i | ||||
\(283\) | 1220.60 | + | 3110.04i | 0.256386 | + | 0.653260i | 0.999880 | − | 0.0154820i | \(-0.00492826\pi\) |
−0.743494 | + | 0.668742i | \(0.766833\pi\) | |||||||
\(284\) | −258.374 | + | 176.157i | −0.0539848 | + | 0.0368062i | ||||
\(285\) | −1352.25 | − | 651.211i | −0.281055 | − | 0.135349i | ||||
\(286\) | 36.5855 | + | 33.9464i | 0.00756414 | + | 0.00701850i | ||||
\(287\) | −546.540 | + | 82.3777i | −0.112409 | + | 0.0169429i | ||||
\(288\) | −67.9347 | + | 906.525i | −0.0138996 | + | 0.185478i | ||||
\(289\) | −174.195 | + | 443.842i | −0.0354559 | + | 0.0903402i | ||||
\(290\) | −336.806 | − | 1475.64i | −0.0681997 | − | 0.298803i | ||||
\(291\) | −15.0886 | − | 201.343i | −0.00303954 | − | 0.0405599i | ||||
\(292\) | 386.884 | + | 119.338i | 0.0775366 | + | 0.0239169i | ||||
\(293\) | −3006.94 | + | 1448.07i | −0.599548 | + | 0.288727i | −0.708937 | − | 0.705272i | \(-0.750825\pi\) |
0.109389 | + | 0.993999i | \(0.465111\pi\) | |||||||
\(294\) | 343.127 | − | 594.313i | 0.0680666 | − | 0.117895i | ||||
\(295\) | 904.055 | + | 1565.87i | 0.178428 | + | 0.309046i | ||||
\(296\) | −3328.43 | − | 2269.28i | −0.653584 | − | 0.445606i | ||||
\(297\) | −6.15105 | + | 26.9495i | −0.00120175 | + | 0.00526522i | ||||
\(298\) | 5000.91 | + | 753.766i | 0.972131 | + | 0.146525i | ||||
\(299\) | 787.822 | + | 987.897i | 0.152378 | + | 0.191076i | ||||
\(300\) | 5.75654 | 0.00110785 | ||||||||
\(301\) | −2416.35 | − | 214.334i | −0.462711 | − | 0.0410432i | ||||
\(302\) | −1664.30 | −0.317117 | ||||||||
\(303\) | 849.182 | + | 1064.84i | 0.161004 | + | 0.201893i | ||||
\(304\) | 11109.1 | + | 1674.43i | 2.09589 | + | 0.315905i | ||||
\(305\) | 1856.17 | − | 8132.42i | 0.348472 | − | 1.52676i | ||||
\(306\) | 4278.65 | + | 2917.13i | 0.799327 | + | 0.544972i | ||||
\(307\) | 4041.72 | + | 7000.47i | 0.751379 | + | 1.30143i | 0.947154 | + | 0.320778i | \(0.103944\pi\) |
−0.195775 | + | 0.980649i | \(0.562722\pi\) | |||||||
\(308\) | 1.98903 | − | 3.44510i | 0.000367973 | − | 0.000637348i | ||||
\(309\) | −567.842 | + | 273.458i | −0.104542 | + | 0.0503447i | ||||
\(310\) | −369.124 | − | 113.860i | −0.0676285 | − | 0.0208606i | ||||
\(311\) | 66.0986 | + | 882.025i | 0.0120518 | + | 0.160820i | 0.999982 | + | 0.00592328i | \(0.00188545\pi\) |
−0.987931 | + | 0.154897i | \(0.950496\pi\) | |||||||
\(312\) | 114.885 | + | 503.343i | 0.0208464 | + | 0.0913340i | ||||
\(313\) | −217.307 | + | 553.690i | −0.0392426 | + | 0.0999886i | −0.949152 | − | 0.314819i | \(-0.898056\pi\) |
0.909909 | + | 0.414808i | \(0.136151\pi\) | |||||||
\(314\) | −573.909 | + | 7658.29i | −0.103145 | + | 1.37638i | ||||
\(315\) | 2408.90 | − | 363.083i | 0.430877 | − | 0.0649442i | ||||
\(316\) | 408.925 | + | 379.427i | 0.0727970 | + | 0.0675458i | ||||
\(317\) | −1866.97 | − | 899.087i | −0.330788 | − | 0.159299i | 0.261116 | − | 0.965307i | \(-0.415909\pi\) |
−0.591904 | + | 0.806008i | \(0.701624\pi\) | |||||||
\(318\) | −944.873 | + | 644.204i | −0.166622 | + | 0.113601i | ||||
\(319\) | 10.4319 | + | 26.5802i | 0.00183096 | + | 0.00466521i | ||||
\(320\) | −4677.41 | + | 1442.79i | −0.817110 | + | 0.252045i | ||||
\(321\) | 997.257 | − | 925.319i | 0.173400 | − | 0.160892i | ||||
\(322\) | 717.256 | − | 899.411i | 0.124134 | − | 0.155659i | ||||
\(323\) | 6707.87 | − | 8411.41i | 1.15553 | − | 1.44899i | ||||
\(324\) | −376.673 | + | 349.501i | −0.0645872 | + | 0.0599282i | ||||
\(325\) | −232.718 | + | 71.7840i | −0.0397196 | + | 0.0122519i | ||||
\(326\) | −1398.18 | − | 3562.50i | −0.237540 | − | 0.605241i | ||||
\(327\) | −1017.55 | + | 693.754i | −0.172081 | + | 0.117323i | ||||
\(328\) | 1239.58 | + | 596.950i | 0.208672 | + | 0.100491i | ||||
\(329\) | −1327.08 | − | 1231.35i | −0.222384 | − | 0.206342i | ||||
\(330\) | 16.3886 | − | 2.47018i | 0.00273382 | − | 0.000412058i | ||||
\(331\) | 241.226 | − | 3218.94i | 0.0400574 | − | 0.534529i | −0.940692 | − | 0.339260i | \(-0.889823\pi\) |
0.980750 | − | 0.195268i | \(-0.0625577\pi\) | |||||||
\(332\) | 181.401 | − | 462.203i | 0.0299870 | − | 0.0764057i | ||||
\(333\) | −1099.10 | − | 4815.46i | −0.180871 | − | 0.792450i | ||||
\(334\) | 880.543 | + | 11750.0i | 0.144255 | + | 1.92495i | ||||
\(335\) | 8495.94 | + | 2620.65i | 1.38562 | + | 0.427407i | ||||
\(336\) | 464.506 | − | 223.694i | 0.0754193 | − | 0.0363200i | ||||
\(337\) | 2265.89 | − | 3924.63i | 0.366264 | − | 0.634387i | −0.622715 | − | 0.782449i | \(-0.713970\pi\) |
0.988978 | + | 0.148062i | \(0.0473035\pi\) | |||||||
\(338\) | −2093.59 | − | 3626.20i | −0.336911 | − | 0.583547i | ||||
\(339\) | 614.045 | + | 418.649i | 0.0983785 | + | 0.0670734i | ||||
\(340\) | 122.685 | − | 537.518i | 0.0195692 | − | 0.0857382i | ||||
\(341\) | 7.20590 | + | 1.08611i | 0.00114434 | + | 0.000172482i | ||||
\(342\) | 7830.23 | + | 9818.80i | 1.23804 | + | 1.55246i | ||||
\(343\) | 5265.02 | 0.828817 | ||||||||
\(344\) | 4669.15 | + | 3829.10i | 0.731812 | + | 0.600149i | ||||
\(345\) | 419.609 | 0.0654811 | ||||||||
\(346\) | −6542.78 | − | 8204.39i | −1.01660 | − | 1.27477i | ||||
\(347\) | −7811.28 | − | 1177.36i | −1.20845 | − | 0.182144i | −0.486243 | − | 0.873823i | \(-0.661633\pi\) |
−0.722205 | + | 0.691679i | \(0.756871\pi\) | |||||||
\(348\) | 6.97598 | − | 30.5637i | 0.00107457 | − | 0.00470801i | ||||
\(349\) | −68.0928 | − | 46.4249i | −0.0104439 | − | 0.00712053i | 0.558087 | − | 0.829783i | \(-0.311536\pi\) |
−0.568531 | + | 0.822662i | \(0.692488\pi\) | |||||||
\(350\) | 110.862 | + | 192.019i | 0.0169309 | + | 0.0293252i | ||||
\(351\) | −641.979 | + | 1111.94i | −0.0976247 | + | 0.169091i | ||||
\(352\) | −18.7902 | + | 9.04888i | −0.00284523 | + | 0.00137019i | ||||
\(353\) | −586.854 | − | 181.021i | −0.0884847 | − | 0.0272939i | 0.250197 | − | 0.968195i | \(-0.419505\pi\) |
−0.338681 | + | 0.940901i | \(0.609981\pi\) | |||||||
\(354\) | 31.9664 | + | 426.562i | 0.00479943 | + | 0.0640439i | ||||
\(355\) | −977.608 | − | 4283.18i | −0.146158 | − | 0.640360i | ||||
\(356\) | −89.1640 | + | 227.186i | −0.0132744 | + | 0.0338226i | ||||
\(357\) | 36.8957 | − | 492.339i | 0.00546983 | − | 0.0729898i | ||||
\(358\) | −9863.99 | + | 1486.76i | −1.45622 | + | 0.219491i | ||||
\(359\) | −9733.58 | − | 9031.44i | −1.43097 | − | 1.32775i | −0.863496 | − | 0.504356i | \(-0.831730\pi\) |
−0.567475 | − | 0.823391i | \(-0.692080\pi\) | |||||||
\(360\) | −5463.50 | − | 2631.08i | −0.799865 | − | 0.385195i | ||||
\(361\) | 15890.7 | − | 10834.1i | 2.31676 | − | 1.57954i | ||||
\(362\) | 3255.72 | + | 8295.43i | 0.472698 | + | 1.20441i | ||||
\(363\) | 1095.57 | − | 337.938i | 0.158409 | − | 0.0488627i | ||||
\(364\) | 135.450 | − | 125.679i | 0.0195041 | − | 0.0180972i | ||||
\(365\) | −3546.48 | + | 4447.14i | −0.508578 | + | 0.637737i | ||||
\(366\) | 1230.41 | − | 1542.89i | 0.175723 | − | 0.220350i | ||||
\(367\) | 1488.83 | − | 1381.44i | 0.211762 | − | 0.196486i | −0.567159 | − | 0.823608i | \(-0.691958\pi\) |
0.778921 | + | 0.627122i | \(0.215767\pi\) | |||||||
\(368\) | −3001.35 | + | 925.793i | −0.425152 | + | 0.131142i | ||||
\(369\) | 616.304 | + | 1570.32i | 0.0869472 | + | 0.221538i | ||||
\(370\) | −4962.94 | + | 3383.67i | −0.697326 | + | 0.475429i | ||||
\(371\) | −3474.41 | − | 1673.19i | −0.486205 | − | 0.234144i | ||||
\(372\) | −5.86500 | − | 5.44193i | −0.000817436 | − | 0.000758470i | ||||
\(373\) | −9341.00 | + | 1407.93i | −1.29667 | + | 0.195442i | −0.760871 | − | 0.648903i | \(-0.775228\pi\) |
−0.535800 | + | 0.844345i | \(0.679990\pi\) | |||||||
\(374\) | −8.87814 | + | 118.471i | −0.00122748 | + | 0.0163796i | ||||
\(375\) | −453.880 | + | 1156.47i | −0.0625020 | + | 0.159253i | ||||
\(376\) | 1002.76 | + | 4393.38i | 0.137536 | + | 0.602583i | ||||
\(377\) | 99.1139 | + | 1322.58i | 0.0135401 | + | 0.180680i | ||||
\(378\) | 1117.02 | + | 344.555i | 0.151993 | + | 0.0468836i | ||||
\(379\) | −8524.02 | + | 4104.95i | −1.15528 | + | 0.556352i | −0.910614 | − | 0.413257i | \(-0.864391\pi\) |
−0.244662 | + | 0.969609i | \(0.578677\pi\) | |||||||
\(380\) | 668.551 | − | 1157.96i | 0.0902525 | − | 0.156322i | ||||
\(381\) | 90.1022 | + | 156.062i | 0.0121157 | + | 0.0209850i | ||||
\(382\) | −4332.87 | − | 2954.10i | −0.580337 | − | 0.395667i | ||||
\(383\) | 1095.65 | − | 4800.36i | 0.146175 | − | 0.640436i | −0.847752 | − | 0.530393i | \(-0.822044\pi\) |
0.993927 | − | 0.110042i | \(-0.0350986\pi\) | |||||||
\(384\) | −1381.06 | − | 208.161i | −0.183534 | − | 0.0276633i | ||||
\(385\) | 34.8459 | + | 43.6954i | 0.00461276 | + | 0.00578421i | ||||
\(386\) | −10571.5 | −1.39398 | ||||||||
\(387\) | 1003.31 | + | 7335.56i | 0.131785 | + | 0.963534i | ||||
\(388\) | 179.874 | 0.0235354 | ||||||||
\(389\) | 470.069 | + | 589.448i | 0.0612685 | + | 0.0768283i | 0.811521 | − | 0.584323i | \(-0.198640\pi\) |
−0.750253 | + | 0.661151i | \(0.770068\pi\) | |||||||
\(390\) | 761.226 | + | 114.736i | 0.0988364 | + | 0.0148972i | ||||
\(391\) | −669.302 | + | 2932.40i | −0.0865679 | + | 0.379279i | ||||
\(392\) | −4759.45 | − | 3244.94i | −0.613237 | − | 0.418098i | ||||
\(393\) | 913.859 | + | 1582.85i | 0.117298 | + | 0.203166i | ||||
\(394\) | 5832.56 | − | 10102.3i | 0.745787 | − | 1.29174i | ||||
\(395\) | −7061.06 | + | 3400.43i | −0.899444 | + | 0.433149i | ||||
\(396\) | −11.6020 | − | 3.57873i | −0.00147228 | − | 0.000454137i | ||||
\(397\) | 939.413 | + | 12535.6i | 0.118760 | + | 1.58474i | 0.664823 | + | 0.747001i | \(0.268507\pi\) |
−0.546063 | + | 0.837744i | \(0.683874\pi\) | |||||||
\(398\) | −1690.89 | − | 7408.26i | −0.212956 | − | 0.933022i | ||||
\(399\) | 437.445 | − | 1114.59i | 0.0548863 | − | 0.139848i | ||||
\(400\) | 45.2393 | − | 603.676i | 0.00565491 | − | 0.0754595i | ||||
\(401\) | 3980.03 | − | 599.894i | 0.495644 | − | 0.0747064i | 0.103537 | − | 0.994626i | \(-0.466984\pi\) |
0.392108 | + | 0.919919i | \(0.371746\pi\) | |||||||
\(402\) | 1541.90 | + | 1430.67i | 0.191301 | + | 0.177501i | ||||
\(403\) | 304.964 | + | 146.863i | 0.0376956 | + | 0.0181532i | ||||
\(404\) | −1002.52 | + | 683.506i | −0.123458 | + | 0.0841726i | ||||
\(405\) | −2637.41 | − | 6720.02i | −0.323590 | − | 0.824495i | ||||
\(406\) | 1153.85 | − | 355.915i | 0.141046 | − | 0.0435068i | ||||
\(407\) | 83.0665 | − | 77.0744i | 0.0101166 | − | 0.00938682i | ||||
\(408\) | −766.256 | + | 960.854i | −0.0929787 | + | 0.116592i | ||||
\(409\) | 7005.54 | − | 8784.67i | 0.846948 | − | 1.06204i | −0.150354 | − | 0.988632i | \(-0.548041\pi\) |
0.997302 | − | 0.0734072i | \(-0.0233873\pi\) | |||||||
\(410\) | 1503.83 | − | 1395.35i | 0.181144 | − | 0.168077i | ||||
\(411\) | 1926.33 | − | 594.193i | 0.231189 | − | 0.0713123i | ||||
\(412\) | −205.131 | − | 522.667i | −0.0245294 | − | 0.0624998i | ||||
\(413\) | −1191.81 | + | 812.562i | −0.141998 | + | 0.0968125i | ||||
\(414\) | −3163.38 | − | 1523.40i | −0.375535 | − | 0.180848i | ||||
\(415\) | 5113.60 | + | 4744.73i | 0.604860 | + | 0.561228i | ||||
\(416\) | −957.890 | + | 144.379i | −0.112895 | + | 0.0170162i | ||||
\(417\) | 145.002 | − | 1934.92i | 0.0170283 | − | 0.227226i | ||||
\(418\) | −105.261 | + | 268.202i | −0.0123170 | + | 0.0313832i | ||||
\(419\) | 611.878 | + | 2680.81i | 0.0713418 | + | 0.312569i | 0.997991 | − | 0.0633588i | \(-0.0201813\pi\) |
−0.926649 | + | 0.375928i | \(0.877324\pi\) | |||||||
\(420\) | −4.58548 | − | 61.1890i | −0.000532735 | − | 0.00710886i | ||||
\(421\) | 3689.37 | + | 1138.02i | 0.427100 | + | 0.131743i | 0.500850 | − | 0.865534i | \(-0.333021\pi\) |
−0.0737505 | + | 0.997277i | \(0.523497\pi\) | |||||||
\(422\) | 10117.3 | − | 4872.25i | 1.16707 | − | 0.562032i | ||||
\(423\) | −2762.67 | + | 4785.08i | −0.317554 | + | 0.550020i | ||||
\(424\) | 4799.60 | + | 8313.15i | 0.549738 | + | 0.952175i | ||||
\(425\) | −478.988 | − | 326.568i | −0.0546690 | − | 0.0372727i | ||||
\(426\) | 231.280 | − | 1013.30i | 0.0263041 | − | 0.115246i | ||||
\(427\) | 6580.30 | + | 991.820i | 0.745768 | + | 0.112406i | ||||
\(428\) | 755.645 | + | 947.549i | 0.0853399 | + | 0.107013i | ||||
\(429\) | −14.5228 | −0.00163442 | ||||||||
\(430\) | 7858.33 | − | 4394.89i | 0.881307 | − | 0.492884i | ||||
\(431\) | 11780.5 | 1.31659 | 0.658293 | − | 0.752762i | \(-0.271279\pi\) | ||||
0.658293 | + | 0.752762i | \(0.271279\pi\) | |||||||
\(432\) | −1989.91 | − | 2495.27i | −0.221620 | − | 0.277902i | ||||
\(433\) | 9162.09 | + | 1380.96i | 1.01686 | + | 0.153267i | 0.636263 | − | 0.771472i | \(-0.280479\pi\) |
0.380600 | + | 0.924740i | \(0.375717\pi\) | |||||||
\(434\) | 68.5734 | − | 300.440i | 0.00758439 | − | 0.0332294i | ||||
\(435\) | 363.907 | + | 248.107i | 0.0401103 | + | 0.0273468i | ||||
\(436\) | −548.575 | − | 950.160i | −0.0602569 | − | 0.104368i | ||||
\(437\) | −3647.25 | + | 6317.22i | −0.399249 | + | 0.691519i | ||||
\(438\) | −1212.41 | + | 583.868i | −0.132263 | + | 0.0636947i | ||||
\(439\) | 1191.84 | + | 367.635i | 0.129575 | + | 0.0399687i | 0.358865 | − | 0.933390i | \(-0.383164\pi\) |
−0.229289 | + | 0.973358i | \(0.573640\pi\) | |||||||
\(440\) | −10.3964 | − | 138.730i | −0.00112643 | − | 0.0150311i | ||||
\(441\) | −1571.65 | − | 6885.83i | −0.169706 | − | 0.743530i | ||||
\(442\) | −2016.03 | + | 5136.76i | −0.216952 | + | 0.552785i | ||||
\(443\) | 97.3712 | − | 1299.33i | 0.0104430 | − | 0.139352i | −0.989545 | − | 0.144223i | \(-0.953932\pi\) |
0.999988 | + | 0.00487144i | \(0.00155063\pi\) | |||||||
\(444\) | −123.021 | + | 18.5425i | −0.0131494 | + | 0.00198195i | ||||
\(445\) | −2513.48 | − | 2332.17i | −0.267754 | − | 0.248439i | ||||
\(446\) | 4065.43 | + | 1957.81i | 0.431622 | + | 0.207858i | ||||
\(447\) | −1215.93 | + | 829.007i | −0.128661 | + | 0.0877197i | ||||
\(448\) | −1426.65 | − | 3635.04i | −0.150453 | − | 0.383347i | ||||
\(449\) | 778.201 | − | 240.043i | 0.0817941 | − | 0.0252301i | −0.253588 | − | 0.967312i | \(-0.581611\pi\) |
0.335382 | + | 0.942082i | \(0.391135\pi\) | |||||||
\(450\) | 496.071 | − | 460.286i | 0.0519666 | − | 0.0482180i | ||||
\(451\) | −24.1297 | + | 30.2577i | −0.00251934 | + | 0.00315915i | ||||
\(452\) | −412.800 | + | 517.635i | −0.0429568 | + | 0.0538662i | ||||
\(453\) | 355.010 | − | 329.401i | 0.0368208 | − | 0.0341647i | ||||
\(454\) | 10338.8 | − | 3189.09i | 1.06877 | − | 0.329673i | ||||
\(455\) | 948.403 | + | 2416.49i | 0.0977183 | + | 0.248982i | ||||
\(456\) | −2462.60 | + | 1678.97i | −0.252899 | + | 0.172424i | ||||
\(457\) | −9772.18 | − | 4706.03i | −1.00027 | − | 0.481705i | −0.139240 | − | 0.990259i | \(-0.544466\pi\) |
−0.861030 | + | 0.508554i | \(0.830180\pi\) | |||||||
\(458\) | 881.869 | + | 818.255i | 0.0899717 | + | 0.0834815i | ||||
\(459\) | −3022.21 | + | 455.525i | −0.307331 | + | 0.0463227i | ||||
\(460\) | −27.9355 | + | 372.773i | −0.00283152 | + | 0.0377840i | ||||
\(461\) | −6237.52 | + | 15892.9i | −0.630174 | + | 1.60566i | 0.156074 | + | 0.987745i | \(0.450116\pi\) |
−0.786248 | + | 0.617912i | \(0.787979\pi\) | |||||||
\(462\) | 2.94216 | + | 12.8905i | 0.000296281 | + | 0.00129809i | ||||
\(463\) | −58.0732 | − | 774.933i | −0.00582914 | − | 0.0777845i | 0.993531 | − | 0.113565i | \(-0.0362272\pi\) |
−0.999360 | + | 0.0357810i | \(0.988608\pi\) | |||||||
\(464\) | −3150.33 | − | 971.749i | −0.315195 | − | 0.0972249i | ||||
\(465\) | 101.273 | − | 48.7705i | 0.0100998 | − | 0.00486382i | ||||
\(466\) | 3252.33 | − | 5633.20i | 0.323308 | − | 0.559985i | ||||
\(467\) | 2377.74 | + | 4118.37i | 0.235608 | + | 0.408084i | 0.959449 | − | 0.281882i | \(-0.0909586\pi\) |
−0.723841 | + | 0.689966i | \(0.757625\pi\) | |||||||
\(468\) | −465.957 | − | 317.684i | −0.0460232 | − | 0.0313781i | ||||
\(469\) | −1578.32 | + | 6915.07i | −0.155394 | + | 0.680827i | ||||
\(470\) | 6644.28 | + | 1001.46i | 0.652080 | + | 0.0982853i | ||||
\(471\) | −1393.33 | − | 1747.18i | −0.136308 | − | 0.170925i | ||||
\(472\) | 3590.59 | 0.350149 | ||||||||
\(473\) | −134.235 | + | 104.079i | −0.0130489 | + | 0.0101174i | ||||
\(474\) | −1854.10 | −0.179666 | ||||||||
\(475\) | −876.582 | − | 1099.20i | −0.0846744 | − | 0.106178i | ||||
\(476\) | 434.929 | + | 65.5550i | 0.0418801 | + | 0.00631242i | ||||
\(477\) | −2619.01 | + | 11474.7i | −0.251397 | + | 1.10144i | ||||
\(478\) | 2143.52 | + | 1461.43i | 0.205110 | + | 0.139841i | ||||
\(479\) | −1601.36 | − | 2773.63i | −0.152751 | − | 0.264573i | 0.779487 | − | 0.626419i | \(-0.215480\pi\) |
−0.932238 | + | 0.361846i | \(0.882147\pi\) | |||||||
\(480\) | −160.846 | + | 278.593i | −0.0152949 | + | 0.0264916i | ||||
\(481\) | 4742.13 | − | 2283.69i | 0.449527 | − | 0.216481i | ||||
\(482\) | 16456.2 | + | 5076.08i | 1.55511 | + | 0.479687i | ||||
\(483\) | 25.0159 | + | 333.814i | 0.00235665 | + | 0.0314473i | ||||
\(484\) | 227.281 | + | 995.782i | 0.0213449 | + | 0.0935182i | ||||
\(485\) | −923.246 | + | 2352.39i | −0.0864380 | + | 0.220241i | ||||
\(486\) | 401.784 | − | 5361.44i | 0.0375006 | − | 0.500411i | ||||
\(487\) | −7402.30 | + | 1115.72i | −0.688769 | + | 0.103815i | −0.484096 | − | 0.875015i | \(-0.660851\pi\) |
−0.204673 | + | 0.978830i | \(0.565613\pi\) | |||||||
\(488\) | −12142.9 | − | 11267.0i | −1.12640 | − | 1.04515i | ||||
\(489\) | 1003.34 | + | 483.185i | 0.0927868 | + | 0.0446838i | ||||
\(490\) | −7096.71 | + | 4838.45i | −0.654279 | + | 0.446080i | ||||
\(491\) | −6656.65 | − | 16960.9i | −0.611834 | − | 1.55893i | −0.814800 | − | 0.579742i | \(-0.803153\pi\) |
0.202966 | − | 0.979186i | \(-0.434942\pi\) | |||||||
\(492\) | 40.6026 | − | 12.5242i | 0.00372054 | − | 0.00114763i | ||||
\(493\) | −2314.33 | + | 2147.39i | −0.211425 | + | 0.196173i | ||||
\(494\) | −8343.96 | + | 10463.0i | −0.759945 | + | 0.952941i | ||||
\(495\) | 106.353 | − | 133.362i | 0.00965695 | − | 0.0121094i | ||||
\(496\) | −616.775 | + | 572.284i | −0.0558347 | + | 0.0518071i | ||||
\(497\) | 3349.15 | − | 1033.07i | 0.302273 | − | 0.0932389i | ||||
\(498\) | 602.927 | + | 1536.23i | 0.0542526 | + | 0.138233i | ||||
\(499\) | −4688.54 | + | 3196.59i | −0.420617 | + | 0.286772i | −0.755074 | − | 0.655639i | \(-0.772399\pi\) |
0.334458 | + | 0.942411i | \(0.391447\pi\) | |||||||
\(500\) | −997.169 | − | 480.211i | −0.0891895 | − | 0.0429514i | ||||
\(501\) | −2513.42 | − | 2332.12i | −0.224135 | − | 0.207967i | ||||
\(502\) | −13531.1 | + | 2039.48i | −1.20303 | + | 0.181328i | ||||
\(503\) | 1121.24 | − | 14961.9i | 0.0993907 | − | 1.32628i | −0.695062 | − | 0.718950i | \(-0.744623\pi\) |
0.794453 | − | 0.607326i | \(-0.207758\pi\) | |||||||
\(504\) | 1767.40 | − | 4503.27i | 0.156203 | − | 0.397999i | ||||
\(505\) | −3793.23 | − | 16619.2i | −0.334250 | − | 1.46445i | ||||
\(506\) | −6.01953 | − | 80.3250i | −0.000528855 | − | 0.00705708i | ||||
\(507\) | 1164.29 | + | 359.135i | 0.101988 | + | 0.0314591i | ||||
\(508\) | −144.641 | + | 69.6555i | −0.0126327 | + | 0.00608359i | ||||
\(509\) | −7386.98 | + | 12794.6i | −0.643266 | + | 1.11417i | 0.341433 | + | 0.939906i | \(0.389088\pi\) |
−0.984699 | + | 0.174263i | \(0.944246\pi\) | |||||||
\(510\) | 916.251 | + | 1586.99i | 0.0795535 | + | 0.137791i | ||||
\(511\) | −3749.30 | − | 2556.23i | −0.324577 | − | 0.221293i | ||||
\(512\) | −2115.67 | + | 9269.38i | −0.182618 | + | 0.800102i | ||||
\(513\) | −7329.42 | − | 1104.73i | −0.630803 | − | 0.0950782i | ||||
\(514\) | −1349.96 | − | 1692.80i | −0.115845 | − | 0.145265i | ||||
\(515\) | 7888.32 | 0.674953 | ||||||||
\(516\) | 186.140 | − | 11.3928i | 0.0158805 | − | 0.000971980i | ||||
\(517\) | −126.760 | −0.0107832 | ||||||||
\(518\) | −2987.71 | − | 3746.47i | −0.253422 | − | 0.317781i | ||||
\(519\) | 3019.47 | + | 455.112i | 0.255376 | + | 0.0384917i | ||||
\(520\) | 1437.90 | − | 6299.86i | 0.121262 | − | 0.531283i | ||||
\(521\) | 9996.60 | + | 6815.57i | 0.840612 | + | 0.573120i | 0.905294 | − | 0.424786i | \(-0.139651\pi\) |
−0.0646815 | + | 0.997906i | \(0.520603\pi\) | |||||||
\(522\) | −1842.69 | − | 3191.63i | −0.154506 | − | 0.267612i | ||||
\(523\) | −55.9402 | + | 96.8912i | −0.00467704 | + | 0.00810087i | −0.868354 | − | 0.495944i | \(-0.834822\pi\) |
0.863677 | + | 0.504045i | \(0.168155\pi\) | |||||||
\(524\) | −1467.02 | + | 706.478i | −0.122303 | + | 0.0588982i | ||||
\(525\) | −61.6527 | − | 19.0173i | −0.00512523 | − | 0.00158092i | ||||
\(526\) | −1025.09 | − | 13678.9i | −0.0849737 | − | 1.13390i | ||||
\(527\) | 179.292 | + | 785.531i | 0.0148199 | + | 0.0649303i | ||||
\(528\) | 13.1887 | − | 33.6043i | 0.00108705 | − | 0.00276977i | ||||
\(529\) | −756.840 | + | 10099.3i | −0.0622044 | + | 0.830059i | ||||
\(530\) | 14153.3 | − | 2133.26i | 1.15996 | − | 0.174836i | ||||
\(531\) | 3227.25 | + | 2994.45i | 0.263749 | + | 0.244723i | ||||
\(532\) | 961.061 | + | 462.822i | 0.0783219 | + | 0.0377179i | ||||
\(533\) | −1485.25 | + | 1012.63i | −0.120701 | + | 0.0822922i | ||||
\(534\) | −296.356 | − | 755.102i | −0.0240160 | − | 0.0611919i | ||||
\(535\) | −16270.6 | + | 5018.81i | −1.31484 | + | 0.405574i | ||||
\(536\) | 12942.6 | − | 12009.0i | 1.04298 | − | 0.967743i | ||||
\(537\) | 1809.82 | − | 2269.45i | 0.145437 | − | 0.182372i | ||||
\(538\) | −11902.3 | + | 14925.0i | −0.953799 | + | 1.19603i | ||||
\(539\) | 118.780 | − | 110.212i | 0.00949207 | − | 0.00880735i | ||||
\(540\) | −362.975 | + | 111.963i | −0.0289258 | + | 0.00892243i | ||||
\(541\) | −1159.42 | − | 2954.15i | −0.0921391 | − | 0.234767i | 0.877373 | − | 0.479808i | \(-0.159294\pi\) |
−0.969513 | + | 0.245041i | \(0.921198\pi\) | |||||||
\(542\) | 11159.1 | − | 7608.12i | 0.884360 | − | 0.602946i | ||||
\(543\) | −2336.33 | − | 1125.12i | −0.184643 | − | 0.0889196i | ||||
\(544\) | −1690.37 | − | 1568.43i | −0.133224 | − | 0.123614i | ||||
\(545\) | 15241.9 | − | 2297.34i | 1.19796 | − | 0.180564i | ||||
\(546\) | −45.8948 | + | 612.424i | −0.00359728 | + | 0.0480024i | ||||
\(547\) | 3642.55 | − | 9281.07i | 0.284725 | − | 0.725466i | −0.714930 | − | 0.699196i | \(-0.753542\pi\) |
0.999655 | − | 0.0262705i | \(-0.00836314\pi\) | |||||||
\(548\) | 399.625 | + | 1750.87i | 0.0311517 | + | 0.136485i | ||||
\(549\) | −1517.80 | − | 20253.7i | −0.117993 | − | 1.57451i | ||||
\(550\) | 14.8354 | + | 4.57610i | 0.00115015 | + | 0.000354774i | ||||
\(551\) | −6898.36 | + | 3322.07i | −0.533357 | + | 0.256851i | ||||
\(552\) | 416.634 | − | 721.631i | 0.0321252 | − | 0.0556425i | ||||
\(553\) | −3126.12 | − | 5414.61i | −0.240391 | − | 0.416370i | ||||
\(554\) | 18308.1 | + | 12482.2i | 1.40404 | + | 0.957256i | ||||
\(555\) | 388.937 | − | 1704.05i | 0.0297468 | − | 0.130329i | ||||
\(556\) | 1709.29 | + | 257.635i | 0.130378 | + | 0.0196513i | ||||
\(557\) | 7571.54 | + | 9494.41i | 0.575972 | + | 0.722246i | 0.981420 | − | 0.191872i | \(-0.0614559\pi\) |
−0.405448 | + | 0.914118i | \(0.632884\pi\) | |||||||
\(558\) | −940.548 | −0.0713558 | ||||||||
\(559\) | −7382.95 | + | 2781.74i | −0.558614 | + | 0.210474i | ||||
\(560\) | −6452.80 | −0.486930 | ||||||||
\(561\) | −21.5542 | − | 27.0281i | −0.00162214 | − | 0.00203409i | ||||
\(562\) | −5933.76 | − | 894.370i | −0.445374 | − | 0.0671294i | ||||
\(563\) | −3260.52 | + | 14285.3i | −0.244076 | + | 1.06937i | 0.693191 | + | 0.720754i | \(0.256204\pi\) |
−0.937267 | + | 0.348612i | \(0.886653\pi\) | |||||||
\(564\) | 114.989 | + | 78.3983i | 0.00858496 | + | 0.00585313i | ||||
\(565\) | −4650.84 | − | 8055.48i | −0.346305 | − | 0.599817i | ||||
\(566\) | 4946.36 | − | 8567.34i | 0.367334 | − | 0.636240i | ||||
\(567\) | 5188.79 | − | 2498.79i | 0.384318 | − | 0.185078i | ||||
\(568\) | −8336.78 | − | 2571.55i | −0.615851 | − | 0.189965i | ||||
\(569\) | 1288.18 | + | 17189.6i | 0.0949092 | + | 1.26648i | 0.817796 | + | 0.575509i | \(0.195196\pi\) |
−0.722886 | + | 0.690967i | \(0.757185\pi\) | |||||||
\(570\) | 988.916 | + | 4332.73i | 0.0726687 | + | 0.318382i | ||||
\(571\) | −1488.72 | + | 3793.20i | −0.109109 | + | 0.278004i | −0.974991 | − | 0.222243i | \(-0.928662\pi\) |
0.865883 | + | 0.500247i | \(0.166757\pi\) | |||||||
\(572\) | 0.966855 | − | 12.9018i | 7.06752e−5 | − | 0.000943096i | ||||
\(573\) | 1508.93 | − | 227.434i | 0.110011 | − | 0.0165815i | ||||
\(574\) | 1199.71 | + | 1113.17i | 0.0872384 | + | 0.0809454i | ||||
\(575\) | 354.135 | + | 170.542i | 0.0256843 | + | 0.0123689i | ||||
\(576\) | −9847.36 | + | 6713.82i | −0.712338 | + | 0.485664i | ||||
\(577\) | 1723.11 | + | 4390.41i | 0.124322 | + | 0.316768i | 0.979462 | − | 0.201630i | \(-0.0646238\pi\) |
−0.855139 | + | 0.518398i | \(0.826529\pi\) | |||||||
\(578\) | 1349.09 | − | 416.139i | 0.0970844 | − | 0.0299466i | ||||
\(579\) | 2255.00 | − | 2092.34i | 0.161856 | − | 0.150181i | ||||
\(580\) | −244.641 | + | 306.771i | −0.0175141 | + | 0.0219620i | ||||
\(581\) | −3469.75 | + | 4350.93i | −0.247762 | + | 0.310683i | ||||
\(582\) | −438.256 | + | 406.642i | −0.0312135 | + | 0.0289619i | ||||
\(583\) | −258.022 | + | 79.5892i | −0.0183296 | + | 0.00565394i | ||||
\(584\) | 4126.73 | + | 10514.7i | 0.292407 | + | 0.745040i | ||||
\(585\) | 6546.31 | − | 4463.20i | 0.462661 | − | 0.315437i | ||||
\(586\) | 8903.60 | + | 4287.75i | 0.627652 | + | 0.302261i | ||||
\(587\) | −5724.15 | − | 5311.23i | −0.402489 | − | 0.373455i | 0.452795 | − | 0.891615i | \(-0.350427\pi\) |
−0.855284 | + | 0.518160i | \(0.826617\pi\) | |||||||
\(588\) | −175.913 | + | 26.5147i | −0.0123377 | + | 0.00185960i | ||||
\(589\) | −146.026 | + | 1948.58i | −0.0102155 | + | 0.136316i | ||||
\(590\) | 1955.98 | − | 4983.75i | 0.136485 | − | 0.347759i | ||||
\(591\) | 755.329 | + | 3309.31i | 0.0525720 | + | 0.230333i | ||||
\(592\) | 977.716 | + | 13046.7i | 0.0678782 | + | 0.905771i | ||||
\(593\) | 5145.61 | + | 1587.21i | 0.356332 | + | 0.109914i | 0.467753 | − | 0.883859i | \(-0.345064\pi\) |
−0.111420 | + | 0.993773i | \(0.535540\pi\) | |||||||
\(594\) | 73.7443 | − | 35.5134i | 0.00509388 | − | 0.00245308i | ||||
\(595\) | −3089.71 | + | 5351.53i | −0.212883 | + | 0.368725i | ||||
\(596\) | −655.525 | − | 1135.40i | −0.0450526 | − | 0.0780334i | ||||
\(597\) | 1826.94 | + | 1245.59i | 0.125246 | + | 0.0853913i | ||||
\(598\) | 832.549 | − | 3647.64i | 0.0569322 | − | 0.249436i | ||||
\(599\) | −1421.88 | − | 214.314i | −0.0969893 | − | 0.0146188i | 0.100368 | − | 0.994950i | \(-0.467998\pi\) |
−0.197358 | + | 0.980332i | \(0.563236\pi\) | |||||||
\(600\) | 100.134 | + | 125.564i | 0.00681326 | + | 0.00854355i | ||||
\(601\) | 12358.1 | 0.838767 | 0.419383 | − | 0.907809i | \(-0.362246\pi\) | ||||
0.419383 | + | 0.907809i | \(0.362246\pi\) | |||||||
\(602\) | 3964.78 | + | 5989.58i | 0.268426 | + | 0.405510i | ||||
\(603\) | 21648.1 | 1.46199 | ||||||||
\(604\) | 269.000 | + | 337.315i | 0.0181216 | + | 0.0227238i | ||||
\(605\) | −14189.4 | − | 2138.71i | −0.953523 | − | 0.143720i | ||||
\(606\) | 897.392 | − | 3931.73i | 0.0601552 | − | 0.263557i | ||||
\(607\) | −22593.9 | − | 15404.2i | −1.51080 | − | 1.03005i | −0.983612 | − | 0.180301i | \(-0.942293\pi\) |
−0.527191 | − | 0.849747i | \(-0.676755\pi\) | |||||||
\(608\) | −2796.15 | − | 4843.08i | −0.186511 | − | 0.323047i | ||||
\(609\) | −175.683 | + | 304.293i | −0.0116897 | + | 0.0202472i | ||||
\(610\) | −22253.4 | + | 10716.7i | −1.47707 | + | 0.711322i | ||||
\(611\) | −5626.26 | − | 1735.47i | −0.372527 | − | 0.114909i | ||||
\(612\) | −100.320 | − | 1338.68i | −0.00662615 | − | 0.0884198i | ||||
\(613\) | 5488.11 | + | 24045.0i | 0.361603 | + | 1.58429i | 0.749126 | + | 0.662427i | \(0.230474\pi\) |
−0.387523 | + | 0.921860i | \(0.626669\pi\) | |||||||
\(614\) | 8744.51 | − | 22280.6i | 0.574755 | − | 1.46445i | ||||
\(615\) | −44.6103 | + | 595.284i | −0.00292498 | + | 0.0390311i | ||||
\(616\) | 109.745 | − | 16.5414i | 0.00717817 | − | 0.00108193i | ||||
\(617\) | 9561.78 | + | 8872.04i | 0.623894 | + | 0.578889i | 0.927461 | − | 0.373921i | \(-0.121987\pi\) |
−0.303566 | + | 0.952810i | \(0.598177\pi\) | |||||||
\(618\) | 1681.39 | + | 809.713i | 0.109442 | + | 0.0527046i | ||||
\(619\) | 12365.1 | − | 8430.40i | 0.802902 | − | 0.547410i | −0.0909056 | − | 0.995860i | \(-0.528976\pi\) |
0.893808 | + | 0.448450i | \(0.148024\pi\) | |||||||
\(620\) | 36.5846 | + | 93.2161i | 0.00236980 | + | 0.00603814i | ||||
\(621\) | 1980.19 | − | 610.808i | 0.127959 | − | 0.0394700i | ||||
\(622\) | 1919.87 | − | 1781.38i | 0.123762 | − | 0.114834i | ||||
\(623\) | 1705.48 | − | 2138.61i | 0.109677 | − | 0.137530i | ||||
\(624\) | 1045.45 | − | 1310.96i | 0.0670700 | − | 0.0841031i | ||||
\(625\) | 10600.9 | − | 9836.15i | 0.678454 | − | 0.629514i | ||||
\(626\) | 1682.99 | − | 519.132i | 0.107453 | − | 0.0331449i | ||||
\(627\) | −30.6299 | − | 78.0436i | −0.00195094 | − | 0.00497091i | ||||
\(628\) | 1644.92 | − | 1121.49i | 0.104522 | − | 0.0712616i | ||||
\(629\) | 11288.2 | + | 5436.12i | 0.715566 | + | 0.344598i | ||||
\(630\) | −5287.76 | − | 4906.32i | −0.334396 | − | 0.310274i | ||||
\(631\) | 25017.1 | − | 3770.72i | 1.57831 | − | 0.237892i | 0.699348 | − | 0.714781i | \(-0.253474\pi\) |
0.878963 | + | 0.476889i | \(0.158236\pi\) | |||||||
\(632\) | −1163.04 | + | 15519.7i | −0.0732015 | + | 0.976807i | ||||
\(633\) | −1193.80 | + | 3041.75i | −0.0749592 | + | 0.190993i | ||||
\(634\) | 1365.34 | + | 5981.93i | 0.0855275 | + | 0.374720i | ||||
\(635\) | −168.550 | − | 2249.14i | −0.0105334 | − | 0.140558i | ||||
\(636\) | 283.285 | + | 87.3819i | 0.0176619 | + | 0.00544798i | ||||
\(637\) | 6780.96 | − | 3265.54i | 0.421776 | − | 0.203117i | ||||
\(638\) | 42.2743 | − | 73.2213i | 0.00262329 | − | 0.00454367i | ||||
\(639\) | −5348.56 | − | 9263.97i | −0.331120 | − | 0.573517i | ||||
\(640\) | 14443.2 | + | 9847.20i | 0.892058 | + | 0.608195i | ||||
\(641\) | 2436.63 | − | 10675.6i | 0.150142 | − | 0.657817i | −0.842700 | − | 0.538384i | \(-0.819035\pi\) |
0.992842 | − | 0.119433i | \(-0.0381077\pi\) | |||||||
\(642\) | −3983.22 | − | 600.374i | −0.244868 | − | 0.0369079i | ||||
\(643\) | −14379.1 | − | 18030.8i | −0.881889 | − | 1.10585i | −0.993694 | − | 0.112124i | \(-0.964235\pi\) |
0.111805 | − | 0.993730i | \(-0.464337\pi\) | |||||||
\(644\) | −298.220 | −0.0182477 | ||||||||
\(645\) | −806.410 | + | 2492.81i | −0.0492285 | + | 0.152177i | ||||
\(646\) | −31856.3 | −1.94020 | ||||||||
\(647\) | 6208.09 | + | 7784.70i | 0.377226 | + | 0.473027i | 0.933812 | − | 0.357763i | \(-0.116461\pi\) |
−0.556586 | + | 0.830790i | \(0.687889\pi\) | |||||||
\(648\) | −14175.6 | − | 2136.63i | −0.859369 | − | 0.129529i | ||||
\(649\) | −22.4747 | + | 98.4681i | −0.00135934 | + | 0.00595564i | ||||
\(650\) | 595.816 | + | 406.220i | 0.0359536 | + | 0.0245127i | ||||
\(651\) | 44.8364 | + | 77.6588i | 0.00269935 | + | 0.00467541i | ||||
\(652\) | −496.051 | + | 859.185i | −0.0297958 | + | 0.0516078i | ||||
\(653\) | 26864.3 | − | 12937.2i | 1.60993 | − | 0.775300i | 0.610072 | − | 0.792346i | \(-0.291140\pi\) |
0.999855 | + | 0.0170460i | \(0.00542617\pi\) | |||||||
\(654\) | 3484.61 | + | 1074.86i | 0.208347 | + | 0.0642666i | ||||
\(655\) | −1709.51 | − | 22811.8i | −0.101979 | − | 1.36081i | ||||
\(656\) | −994.304 | − | 4356.33i | −0.0591784 | − | 0.259278i | ||||
\(657\) | −5059.86 | + | 12892.3i | −0.300463 | + | 0.765567i | ||||
\(658\) | −400.588 | + | 5345.47i | −0.0237333 | + | 0.316700i | ||||
\(659\) | −33088.8 | + | 4987.33i | −1.95593 | + | 0.294808i | −0.955926 | + | 0.293607i | \(0.905144\pi\) |
−0.999999 | + | 0.00120110i | \(0.999618\pi\) | |||||||
\(660\) | −3.14953 | − | 2.92234i | −0.000185751 | − | 0.000172351i | ||||
\(661\) | −3955.73 | − | 1904.98i | −0.232769 | − | 0.112095i | 0.313864 | − | 0.949468i | \(-0.398376\pi\) |
−0.546633 | + | 0.837372i | \(0.684091\pi\) | |||||||
\(662\) | −7897.23 | + | 5384.24i | −0.463647 | + | 0.316109i | ||||
\(663\) | −586.642 | − | 1494.74i | −0.0343639 | − | 0.0875578i | ||||
\(664\) | 13237.2 | − | 4083.14i | 0.773650 | − | 0.238639i | ||||
\(665\) | −10985.7 | + | 10193.2i | −0.640610 | + | 0.594399i | ||||
\(666\) | −9118.75 | + | 11434.5i | −0.530547 | + | 0.665285i | ||||
\(667\) | 1334.63 | − | 1673.57i | 0.0774769 | − | 0.0971530i | ||||
\(668\) | 2239.14 | − | 2077.62i | 0.129693 | − | 0.120338i | ||||
\(669\) | −1254.69 | + | 387.020i | −0.0725098 | + | 0.0223663i | ||||
\(670\) | −9618.03 | − | 24506.3i | −0.554592 | − | 1.41308i | ||||
\(671\) | 384.991 | − | 262.483i | 0.0221497 | − | 0.0151014i | ||||
\(672\) | −231.220 | − | 111.350i | −0.0132731 | − | 0.00639198i | ||||
\(673\) | 17096.0 | + | 15862.8i | 0.979201 | + | 0.908566i | 0.995824 | − | 0.0912963i | \(-0.0291010\pi\) |
−0.0166230 | + | 0.999862i | \(0.505292\pi\) | |||||||
\(674\) | −13268.8 | + | 1999.95i | −0.758300 | + | 0.114295i | ||||
\(675\) | −29.8474 | + | 398.286i | −0.00170197 | + | 0.0227112i | ||||
\(676\) | −396.562 | + | 1010.42i | −0.0225627 | + | 0.0574888i | ||||
\(677\) | 1201.85 | + | 5265.65i | 0.0682288 | + | 0.298930i | 0.997517 | − | 0.0704255i | \(-0.0224357\pi\) |
−0.929288 | + | 0.369355i | \(0.879579\pi\) | |||||||
\(678\) | −164.449 | − | 2194.41i | −0.00931506 | − | 0.124301i | ||||
\(679\) | −1926.46 | − | 594.233i | −0.108882 | − | 0.0335855i | ||||
\(680\) | 13858.6 | − | 6673.97i | 0.781551 | − | 0.376375i | ||||
\(681\) | −1574.17 | + | 2726.54i | −0.0885789 | + | 0.153423i | ||||
\(682\) | −10.7889 | − | 18.6869i | −0.000605759 | − | 0.00104921i | ||||
\(683\) | −10626.3 | − | 7244.90i | −0.595322 | − | 0.405884i | 0.227833 | − | 0.973700i | \(-0.426836\pi\) |
−0.823155 | + | 0.567817i | \(0.807788\pi\) | |||||||
\(684\) | 724.450 | − | 3174.02i | 0.0404971 | − | 0.177429i | ||||
\(685\) | −24949.1 | − | 3760.47i | −1.39161 | − | 0.209752i | ||||
\(686\) | −9720.07 | − | 12188.6i | −0.540983 | − | 0.678371i | ||||
\(687\) | −350.062 | −0.0194406 | ||||||||
\(688\) | 268.085 | − | 19609.6i | 0.0148556 | − | 1.08664i | ||||
\(689\) | −12541.9 | −0.693483 | ||||||||
\(690\) | −774.665 | − | 971.399i | −0.0427406 | − | 0.0535950i | ||||
\(691\) | −5017.55 | − | 756.274i | −0.276232 | − | 0.0416353i | 0.00946507 | − | 0.999955i | \(-0.496987\pi\) |
−0.285697 | + | 0.958320i | \(0.592225\pi\) | |||||||
\(692\) | −605.335 | + | 2652.15i | −0.0332535 | + | 0.145693i | ||||
\(693\) | 112.435 | + | 76.6567i | 0.00616312 | + | 0.00420194i | ||||
\(694\) | 11695.3 | + | 20256.8i | 0.639693 | + | 1.10798i | ||||
\(695\) | −12142.7 | + | 21031.8i | −0.662732 | + | 1.14789i | ||||
\(696\) | 788.015 | − | 379.488i | 0.0429162 | − | 0.0206673i | ||||
\(697\) | −4088.94 | − | 1261.27i | −0.222209 | − | 0.0685424i | ||||
\(698\) | 18.2361 | + | 243.343i | 0.000988890 | + | 0.0131958i | ||||
\(699\) | 421.184 | + | 1845.33i | 0.0227906 | + | 0.0998521i | ||||
\(700\) | 20.9992 | − | 53.5051i | 0.00113385 | − | 0.00288900i | ||||
\(701\) | 2380.19 | − | 31761.4i | 0.128243 | − | 1.71129i | −0.448022 | − | 0.894023i | \(-0.647871\pi\) |
0.576265 | − | 0.817263i | \(-0.304510\pi\) | |||||||
\(702\) | 3759.35 | − | 566.631i | 0.202119 | − | 0.0304645i | ||||
\(703\) | 22273.8 | + | 20667.1i | 1.19498 | + | 1.10878i | ||||
\(704\) | −246.348 | − | 118.635i | −0.0131884 | − | 0.00635118i | ||||
\(705\) | −1615.50 | + | 1101.43i | −0.0863025 | + | 0.0588401i | ||||
\(706\) | 664.363 | + | 1692.77i | 0.0354159 | + | 0.0902382i | ||||
\(707\) | 12995.1 | − | 4008.44i | 0.691272 | − | 0.213229i | ||||
\(708\) | 81.2878 | − | 75.4240i | 0.00431495 | − | 0.00400369i | ||||
\(709\) | 7549.85 | − | 9467.21i | 0.399916 | − | 0.501479i | −0.540576 | − | 0.841295i | \(-0.681793\pi\) |
0.940492 | + | 0.339816i | \(0.110365\pi\) | |||||||
\(710\) | −8110.80 | + | 10170.6i | −0.428722 | + | 0.537601i | ||||
\(711\) | −13988.4 | + | 12979.3i | −0.737841 | + | 0.684616i | ||||
\(712\) | −6506.47 | + | 2006.98i | −0.342472 | + | 0.105639i | ||||
\(713\) | −199.586 | − | 508.536i | −0.0104832 | − | 0.0267108i | ||||
\(714\) | −1207.89 | + | 823.523i | −0.0633110 | + | 0.0431647i | ||||
\(715\) | 163.767 | + | 78.8660i | 0.00856578 | + | 0.00412506i | ||||
\(716\) | 1895.65 | + | 1758.90i | 0.0989437 | + | 0.0918063i | ||||
\(717\) | −746.483 | + | 112.514i | −0.0388813 | + | 0.00586042i | ||||
\(718\) | −2938.15 | + | 39206.8i | −0.152717 | + | 2.03786i | ||||
\(719\) | 2122.30 | − | 5407.52i | 0.110081 | − | 0.280482i | −0.865209 | − | 0.501412i | \(-0.832814\pi\) |
0.975290 | + | 0.220930i | \(0.0709093\pi\) | |||||||
\(720\) | 4382.44 | + | 19200.7i | 0.226839 | + | 0.993844i | ||||
\(721\) | 470.280 | + | 6275.45i | 0.0242914 | + | 0.324147i | ||||
\(722\) | −54417.8 | − | 16785.7i | −2.80501 | − | 0.865232i | ||||
\(723\) | −4514.94 | + | 2174.28i | −0.232244 | + | 0.111843i | ||||
\(724\) | 1155.07 | − | 2000.65i | 0.0592928 | − | 0.102698i | ||||
\(725\) | 206.286 | + | 357.297i | 0.0105673 | + | 0.0183030i | ||||
\(726\) | −2804.93 | − | 1912.37i | −0.143389 | − | 0.0977611i | ||||
\(727\) | 5806.46 | − | 25439.8i | 0.296217 | − | 1.29781i | −0.579495 | − | 0.814976i | \(-0.696750\pi\) |
0.875712 | − | 0.482835i | \(-0.160393\pi\) | |||||||
\(728\) | 5097.50 | + | 768.324i | 0.259513 | + | 0.0391154i | ||||
\(729\) | −10293.7 | − | 12907.9i | −0.522973 | − | 0.655788i | ||||
\(730\) | 16842.6 | 0.853933 | ||||||||
\(731\) | −16134.5 | − | 9611.73i | −0.816358 | − | 0.486324i | ||||
\(732\) | −511.579 | −0.0258313 | ||||||||
\(733\) | 15987.6 | + | 20047.8i | 0.805615 | + | 1.01021i | 0.999574 | + | 0.0291996i | \(0.00929583\pi\) |
−0.193959 | + | 0.981010i | \(0.562133\pi\) | |||||||
\(734\) | −5946.67 | − | 896.317i | −0.299040 | − | 0.0450731i | ||||
\(735\) | 556.158 | − | 2436.69i | 0.0279105 | − | 0.122284i | ||||
\(736\) | 1291.79 | + | 880.728i | 0.0646957 | + | 0.0441088i | ||||
\(737\) | 248.322 | + | 430.107i | 0.0124112 | + | 0.0214969i | ||||
\(738\) | 2497.51 | − | 4325.81i | 0.124573 | − | 0.215766i | ||||
\(739\) | 16832.4 | − | 8106.06i | 0.837876 | − | 0.403500i | 0.0348128 | − | 0.999394i | \(-0.488917\pi\) |
0.803063 | + | 0.595894i | \(0.203202\pi\) | |||||||
\(740\) | 1487.95 | + | 458.972i | 0.0739165 | + | 0.0228002i | ||||
\(741\) | −291.014 | − | 3883.32i | −0.0144274 | − | 0.192520i | ||||
\(742\) | 2540.87 | + | 11132.3i | 0.125712 | + | 0.550779i | ||||
\(743\) | 6605.40 | − | 16830.3i | 0.326149 | − | 0.831013i | −0.669920 | − | 0.742433i | \(-0.733672\pi\) |
0.996069 | − | 0.0885803i | \(-0.0282330\pi\) | |||||||
\(744\) | 16.6809 | − | 222.591i | 0.000821978 | − | 0.0109685i | ||||
\(745\) | 18213.4 | − | 2745.23i | 0.895689 | − | 0.135003i | ||||
\(746\) | 20504.4 | + | 19025.3i | 1.00632 | + | 0.933733i | ||||
\(747\) | 15302.9 | + | 7369.51i | 0.749538 | + | 0.360959i | ||||
\(748\) | 25.4463 | − | 17.3490i | 0.00124386 | − | 0.000848050i | ||||
\(749\) | −4962.65 | − | 12644.6i | −0.242098 | − | 0.616855i | ||||
\(750\) | 3515.17 | − | 1084.29i | 0.171141 | − | 0.0527901i | ||||
\(751\) | −5457.07 | + | 5063.42i | −0.265155 | + | 0.246028i | −0.801534 | − | 0.597950i | \(-0.795982\pi\) |
0.536379 | + | 0.843977i | \(0.319792\pi\) | |||||||
\(752\) | 9125.14 | − | 11442.6i | 0.442499 | − | 0.554877i | ||||
\(753\) | 2482.65 | − | 3113.15i | 0.120150 | − | 0.150663i | ||||
\(754\) | 2878.82 | − | 2671.15i | 0.139045 | − | 0.129015i | ||||
\(755\) | −5792.11 | + | 1786.63i | −0.279200 | + | 0.0861219i | ||||
\(756\) | −110.710 | − | 282.085i | −0.00532604 | − | 0.0135705i | ||||
\(757\) | 24844.1 | − | 16938.4i | 1.19283 | − | 0.813261i | 0.206570 | − | 0.978432i | \(-0.433770\pi\) |
0.986265 | + | 0.165171i | \(0.0528176\pi\) | |||||||
\(758\) | 25239.7 | + | 12154.8i | 1.20943 | + | 0.582431i | ||||
\(759\) | 17.1821 | + | 15.9427i | 0.000821702 | + | 0.000762428i | ||||
\(760\) | 36887.4 | − | 5559.87i | 1.76059 | − | 0.265366i | ||||
\(761\) | −1607.05 | + | 21444.6i | −0.0765512 | + | 1.02150i | 0.818198 | + | 0.574936i | \(0.194973\pi\) |
−0.894749 | + | 0.446568i | \(0.852646\pi\) | |||||||
\(762\) | 194.941 | − | 496.703i | 0.00926770 | − | 0.0236137i | ||||
\(763\) | 2736.30 | + | 11988.5i | 0.129831 | + | 0.568825i | ||||
\(764\) | 101.592 | + | 1355.64i | 0.00481080 | + | 0.0641957i | ||||
\(765\) | 18022.2 | + | 5559.10i | 0.851755 | + | 0.262732i | ||||
\(766\) | −13135.6 | + | 6325.79i | −0.619595 | + | 0.298381i | ||||
\(767\) | −2345.66 | + | 4062.81i | −0.110426 | + | 0.191264i | ||||
\(768\) | 503.410 | + | 871.931i | 0.0236527 | + | 0.0409676i | ||||
\(769\) | −21439.7 | − | 14617.3i | −1.00538 | − | 0.685454i | −0.0556221 | − | 0.998452i | \(-0.517714\pi\) |
−0.949754 | + | 0.312998i | \(0.898667\pi\) | |||||||
\(770\) | 36.8242 | − | 161.337i | 0.00172344 | − | 0.00755090i | ||||
\(771\) | 623.002 | + | 93.9024i | 0.0291010 | + | 0.00438627i | ||||
\(772\) | 1708.67 | + | 2142.60i | 0.0796585 | + | 0.0998886i | ||||
\(773\) | −14854.8 | −0.691190 | −0.345595 | − | 0.938384i | \(-0.612323\pi\) | ||||
−0.345595 | + | 0.938384i | \(0.612323\pi\) | |||||||
\(774\) | 15129.7 | − | 15865.3i | 0.702615 | − | 0.736778i | ||||
\(775\) | 105.293 | 0.00488029 | ||||||||
\(776\) | 3128.88 | + | 3923.49i | 0.144743 | + | 0.181501i | ||||
\(777\) | 1378.82 | + | 207.824i | 0.0636613 | + | 0.00959540i | ||||
\(778\) | 496.756 | − | 2176.43i | 0.0228915 | − | 0.100294i | ||||
\(779\) | −8574.26 | − | 5845.83i | −0.394358 | − | 0.268869i | ||||
\(780\) | −99.7823 | − | 172.828i | −0.00458049 | − | 0.00793364i | ||||
\(781\) | 122.705 | − | 212.531i | 0.00562193 | − | 0.00973747i | ||||
\(782\) | 8024.19 | − | 3864.25i | 0.366937 | − | 0.176707i | ||||
\(783\) | 2078.49 | + | 641.128i | 0.0948647 | + | 0.0292619i | ||||
\(784\) | 1398.08 | + | 18656.0i | 0.0636879 | + | 0.849856i | ||||
\(785\) | 6223.88 | + | 27268.6i | 0.282980 | + | 1.23982i | ||||
\(786\) | 1977.19 | − | 5037.79i | 0.0897251 | − | 0.228616i | ||||
\(787\) | −363.910 | + | 4856.04i | −0.0164828 | + | 0.219948i | 0.982880 | + | 0.184248i | \(0.0589851\pi\) |
−0.999363 | + | 0.0356998i | \(0.988634\pi\) | |||||||
\(788\) | −2990.22 | + | 450.703i | −0.135180 | + | 0.0203752i | ||||
\(789\) | 2926.03 | + | 2714.95i | 0.132027 | + | 0.122503i | ||||
\(790\) | 20907.9 | + | 10068.7i | 0.941606 | + | 0.453454i | ||||
\(791\) | 6131.16 | − | 4180.16i | 0.275599 | − | 0.187900i | ||||
\(792\) | −123.753 | − | 315.319i | −0.00555226 | − | 0.0141469i | ||||
\(793\) | 20681.5 | − | 6379.39i | 0.926129 | − | 0.285673i | ||||
\(794\) | 27285.8 | − | 25317.5i | 1.21957 | − | 1.13159i | ||||
\(795\) | −2596.81 | + | 3256.29i | −0.115848 | + | 0.145269i | ||||
\(796\) | −1228.19 | + | 1540.10i | −0.0546885 | + | 0.0685772i | ||||
\(797\) | −3192.89 | + | 2962.57i | −0.141905 | + | 0.131668i | −0.747932 | − | 0.663776i | \(-0.768953\pi\) |
0.606027 | + | 0.795444i | \(0.292762\pi\) | |||||||
\(798\) | −3387.89 | + | 1045.02i | −0.150288 | + | 0.0463577i | ||||
\(799\) | −5120.44 | − | 13046.7i | −0.226718 | − | 0.577669i | ||||
\(800\) | −248.977 | + | 169.750i | −0.0110033 | + | 0.00750195i | ||||
\(801\) | −7521.83 | − | 3622.32i | −0.331799 | − | 0.159786i | ||||
\(802\) | −8736.55 | − | 8106.33i | −0.384661 | − | 0.356913i | ||||
\(803\) | −314.187 | + | 47.3560i | −0.0138075 | + | 0.00208114i | ||||
\(804\) | 40.7482 | − | 543.747i | 0.00178741 | − | 0.0238513i | ||||
\(805\) | 1530.68 | − | 3900.12i | 0.0670181 | − | 0.170759i | ||||
\(806\) | −223.023 | − | 977.127i | −0.00974646 | − | 0.0427020i | ||||
\(807\) | −415.119 | − | 5539.37i | −0.0181076 | − | 0.241630i | ||||
\(808\) | −32347.6 | − | 9977.91i | −1.40840 | − | 0.434433i | ||||
\(809\) | −31982.5 | + | 15402.0i | −1.38992 | + | 0.669350i | −0.971090 | − | 0.238715i | \(-0.923274\pi\) |
−0.418829 | + | 0.908065i | \(0.637559\pi\) | |||||||
\(810\) | −10687.8 | + | 18511.9i | −0.463620 | + | 0.803014i | ||||
\(811\) | −6538.77 | − | 11325.5i | −0.283116 | − | 0.490372i | 0.689034 | − | 0.724729i | \(-0.258035\pi\) |
−0.972151 | + | 0.234357i | \(0.924702\pi\) | |||||||
\(812\) | −258.632 | − | 176.332i | −0.0111776 | − | 0.00762076i | ||||
\(813\) | −874.518 | + | 3831.52i | −0.0377253 | + | 0.165286i | ||||
\(814\) | −331.782 | − | 50.0081i | −0.0142862 | − | 0.00215330i | ||||
\(815\) | −8690.32 | − | 10897.3i | −0.373508 | − | 0.468364i | ||||
\(816\) | 3991.43 | 0.171235 | ||||||||
\(817\) | −30520.0 | − | 33808.1i | −1.30693 | − | 1.44773i | ||||
\(818\) | −33270.0 | −1.42208 | ||||||||
\(819\) | 3940.91 | + | 4941.74i | 0.168140 | + | 0.210841i | ||||
\(820\) | −525.870 | − | 79.2621i | −0.0223953 | − | 0.00337555i | ||||
\(821\) | −7226.02 | + | 31659.2i | −0.307174 | + | 1.34582i | 0.551877 | + | 0.833926i | \(0.313912\pi\) |
−0.859051 | + | 0.511891i | \(0.828945\pi\) | |||||||
\(822\) | −4931.87 | − | 3362.49i | −0.209269 | − | 0.142677i | ||||
\(823\) | 15768.0 | + | 27311.0i | 0.667848 | + | 1.15675i | 0.978505 | + | 0.206224i | \(0.0661176\pi\) |
−0.310657 | + | 0.950522i | \(0.600549\pi\) | |||||||
\(824\) | 7832.40 | − | 13566.1i | 0.331134 | − | 0.573541i | ||||
\(825\) | −4.07024 | + | 1.96012i | −0.000171767 | + | 8.27185e-5i | ||||
\(826\) | 4081.37 | + | 1258.93i | 0.171924 | + | 0.0530314i | ||||
\(827\) | −1465.42 | − | 19554.6i | −0.0616173 | − | 0.822226i | −0.939325 | − | 0.343029i | \(-0.888547\pi\) |
0.877707 | − | 0.479197i | \(-0.159072\pi\) | |||||||
\(828\) | 202.537 | + | 887.372i | 0.00850077 | + | 0.0372443i | ||||
\(829\) | −15070.7 | + | 38399.4i | −0.631394 | + | 1.60876i | 0.152806 | + | 0.988256i | \(0.451169\pi\) |
−0.784200 | + | 0.620509i | \(0.786926\pi\) | |||||||
\(830\) | 1543.58 | − | 20597.6i | 0.0645522 | − | 0.861389i | ||||
\(831\) | −6375.81 | + | 960.998i | −0.266154 | + | 0.0401163i | ||||
\(832\) | −9309.94 | − | 8638.36i | −0.387938 | − | 0.359953i | ||||
\(833\) | 16141.5 | + | 7773.34i | 0.671392 | + | 0.323325i | ||||
\(834\) | −4747.06 | + | 3236.49i | −0.197095 | + | 0.134377i | ||||
\(835\) | 15678.2 | + | 39947.4i | 0.649780 | + | 1.65561i | ||||
\(836\) | 71.3718 | − | 22.0153i | 0.00295269 | − | 0.000910783i | ||||
\(837\) | 406.928 | − | 377.574i | 0.0168047 | − | 0.0155924i | ||||
\(838\) | 5076.49 | − | 6365.72i | 0.209266 | − | 0.262411i | ||||
\(839\) | −28934.0 | + | 36282.1i | −1.19060 | + | 1.49297i | −0.362870 | + | 0.931840i | \(0.618203\pi\) |
−0.827730 | + | 0.561126i | \(0.810368\pi\) | |||||||
\(840\) | 1254.92 | − | 1164.39i | 0.0515462 | − | 0.0478278i | ||||
\(841\) | −21158.4 | + | 6526.52i | −0.867541 | + | 0.267601i | ||||
\(842\) | −4176.65 | − | 10641.9i | −0.170946 | − | 0.435564i | ||||
\(843\) | 1442.74 | − | 983.646i | 0.0589451 | − | 0.0401881i | ||||
\(844\) | −2622.76 | − | 1263.05i | −0.106966 | − | 0.0515120i | ||||
\(845\) | −11178.9 | − | 10372.5i | −0.455106 | − | 0.422277i | ||||
\(846\) | 16177.8 | − | 2438.42i | 0.657453 | − | 0.0990952i | ||||
\(847\) | 855.488 | − | 11415.7i | 0.0347048 | − | 0.463103i | ||||
\(848\) | 11389.8 | − | 29020.8i | 0.461236 | − | 1.17521i | ||||
\(849\) | 640.563 | + | 2806.49i | 0.0258941 | + | 0.113449i | ||||
\(850\) | 128.279 | + | 1711.76i | 0.00517638 | + | 0.0690740i | ||||
\(851\) | −8117.45 | − | 2503.90i | −0.326983 | − | 0.100861i | ||||
\(852\) | −242.756 | + | 116.905i | −0.00976135 | + | 0.00470082i | ||||
\(853\) | 7986.74 | − | 13833.4i | 0.320587 | − | 0.555273i | −0.660022 | − | 0.751246i | \(-0.729453\pi\) |
0.980609 | + | 0.195973i | \(0.0627865\pi\) | |||||||
\(854\) | −9852.21 | − | 17064.5i | −0.394773 | − | 0.683766i | ||||
\(855\) | 37791.4 | + | 25765.8i | 1.51163 | + | 1.03061i | ||||
\(856\) | −7524.02 | + | 32964.9i | −0.300427 | + | 1.31626i | ||||
\(857\) | −29865.9 | − | 4501.56i | −1.19043 | − | 0.179429i | −0.476199 | − | 0.879337i | \(-0.657986\pi\) |
−0.714232 | + | 0.699909i | \(0.753224\pi\) | |||||||
\(858\) | 26.8114 | + | 33.6204i | 0.00106681 | + | 0.00133774i | ||||
\(859\) | 21285.6 | 0.845465 | 0.422732 | − | 0.906255i | \(-0.361071\pi\) | ||||
0.422732 | + | 0.906255i | \(0.361071\pi\) | |||||||
\(860\) | −2160.88 | − | 882.360i | −0.0856808 | − | 0.0349863i | ||||
\(861\) | −476.230 | −0.0188500 | ||||||||
\(862\) | −21748.8 | − | 27272.1i | −0.859357 | − | 1.07760i | ||||
\(863\) | −17169.9 | − | 2587.95i | −0.677254 | − | 0.102080i | −0.198597 | − | 0.980081i | \(-0.563638\pi\) |
−0.478658 | + | 0.878002i | \(0.658877\pi\) | |||||||
\(864\) | −353.516 | + | 1548.86i | −0.0139200 | + | 0.0609874i | ||||
\(865\) | −31577.7 | − | 21529.3i | −1.24124 | − | 0.846265i | ||||
\(866\) | −13717.7 | − | 23759.8i | −0.538277 | − | 0.932323i | ||||
\(867\) | −205.411 | + | 355.782i | −0.00804627 | + | 0.0139365i | ||||
\(868\) | −71.9758 | + | 34.6617i | −0.00281454 | + | 0.00135541i | ||||
\(869\) | −418.333 | − | 129.039i | −0.0163302 | − | 0.00503721i | ||||
\(870\) | −97.4586 | − | 1300.50i | −0.00379788 | − | 0.0506792i | ||||
\(871\) | 5133.21 | + | 22490.0i | 0.199692 | + | 0.874909i | ||||
\(872\) | 11182.9 | − | 28493.6i | 0.434291 | − | 1.10656i | ||||
\(873\) | −459.819 | + | 6135.86i | −0.0178265 | + | 0.237878i | ||||
\(874\) | 21357.9 | − | 3219.18i | 0.826591 | − | 0.124589i | ||||
\(875\) | 9093.27 | + | 8437.33i | 0.351324 | + | 0.325981i | ||||
\(876\) | 314.299 | + | 151.358i | 0.0121224 | + | 0.00583782i | ||||
\(877\) | 6212.63 | − | 4235.70i | 0.239208 | − | 0.163089i | −0.437783 | − | 0.899081i | \(-0.644236\pi\) |
0.676991 | + | 0.735991i | \(0.263284\pi\) | |||||||
\(878\) | −1349.25 | − | 3437.84i | −0.0518623 | − | 0.132143i | ||||
\(879\) | −2747.86 | + | 847.604i | −0.105442 | + | 0.0325244i | ||||
\(880\) | −331.211 | + | 307.319i | −0.0126876 | + | 0.0117724i | ||||
\(881\) | 19929.6 | − | 24991.0i | 0.762142 | − | 0.955695i | −0.237736 | − | 0.971330i | \(-0.576405\pi\) |
0.999878 | + | 0.0156343i | \(0.00497676\pi\) | |||||||
\(882\) | −13039.3 | + | 16350.7i | −0.497795 | + | 0.624215i | ||||
\(883\) | 10348.3 | − | 9601.83i | 0.394392 | − | 0.365943i | −0.457904 | − | 0.889002i | \(-0.651400\pi\) |
0.852297 | + | 0.523059i | \(0.175209\pi\) | |||||||
\(884\) | 1366.96 | − | 421.650i | 0.0520087 | − | 0.0160426i | ||||
\(885\) | 569.167 | + | 1450.21i | 0.0216185 | + | 0.0550829i | ||||
\(886\) | −3187.72 | + | 2173.35i | −0.120873 | + | 0.0824100i | ||||
\(887\) | 33768.4 | + | 16262.0i | 1.27828 | + | 0.615587i | 0.944947 | − | 0.327223i | \(-0.106113\pi\) |
0.333332 | + | 0.942810i | \(0.391827\pi\) | |||||||
\(888\) | −2544.39 | − | 2360.85i | −0.0961534 | − | 0.0892173i | ||||
\(889\) | 1779.22 | − | 268.175i | 0.0671240 | − | 0.0101173i | ||||
\(890\) | −758.712 | + | 10124.3i | −0.0285754 | + | 0.381312i | ||||
\(891\) | 147.325 | − | 375.378i | 0.00553936 | − | 0.0141141i | ||||
\(892\) | −260.291 | − | 1140.41i | −0.00977039 | − | 0.0428069i | ||||
\(893\) | −2540.09 | − | 33895.1i | −0.0951856 | − | 1.27016i | ||||
\(894\) | 4163.96 | + | 1284.41i | 0.155776 | + | 0.0480506i | ||||
\(895\) | −32732.8 | + | 15763.3i | −1.22250 | + | 0.588724i | ||||
\(896\) | −6972.74 | + | 12077.1i | −0.259981 | + | 0.450300i | ||||
\(897\) | 544.358 | + | 942.856i | 0.0202626 | + | 0.0350959i | ||||
\(898\) | −1992.39 | − | 1358.39i | −0.0740388 | − | 0.0504788i | ||||
\(899\) | 127.598 | − | 559.041i | 0.00473372 | − | 0.0207398i | ||||
\(900\) | −173.469 | − | 26.1463i | −0.00642479 | − | 0.000968381i | ||||
\(901\) | −18614.3 | − | 23341.6i | −0.688271 | − | 0.863065i | ||||
\(902\) | 114.594 | 0.00423012 | ||||||||
\(903\) | −2031.20 | − | 492.914i | −0.0748550 | − | 0.0181652i | ||||
\(904\) | −18471.5 | −0.679593 | ||||||||
\(905\) | 20235.8 | + | 25374.9i | 0.743271 | + | 0.932032i | ||||
\(906\) | −1417.97 | − | 213.725i | −0.0519967 | − | 0.00783725i | ||||
\(907\) | −4790.76 | + | 20989.7i | −0.175386 | + | 0.768414i | 0.808337 | + | 0.588720i | \(0.200368\pi\) |
−0.983723 | + | 0.179694i | \(0.942489\pi\) | |||||||
\(908\) | −2317.41 | − | 1579.98i | −0.0846982 | − | 0.0577463i | ||||
\(909\) | −20753.0 | − | 35945.2i | −0.757242 | − | 1.31158i | ||||
\(910\) | 3843.30 | − | 6656.80i | 0.140005 | − | 0.242495i | ||||
\(911\) | −10096.0 | + | 4861.96i | −0.367173 | + | 0.176821i | −0.608367 | − | 0.793656i | \(-0.708175\pi\) |
0.241194 | + | 0.970477i | \(0.422461\pi\) | |||||||
\(912\) | 9249.89 | + | 2853.21i | 0.335849 | + | 0.103596i | ||||
\(913\) | 29.1196 | + | 388.575i | 0.00105555 | + | 0.0140854i | ||||
\(914\) | 7146.49 | + | 31310.8i | 0.258627 | + | 1.13312i | ||||
\(915\) | 2625.80 | − | 6690.43i | 0.0948702 | − | 0.241725i | ||||
\(916\) | 23.3054 | − | 310.989i | 0.000840647 | − | 0.0112176i | ||||
\(917\) | 18045.7 | − | 2719.95i | 0.649861 | − | 0.0979507i | ||||
\(918\) | 6634.04 | + | 6155.49i | 0.238514 | + | 0.221309i | ||||
\(919\) | 14522.0 | + | 6993.40i | 0.521257 | + | 0.251024i | 0.675962 | − | 0.736937i | \(-0.263728\pi\) |
−0.154705 | + | 0.987961i | \(0.549443\pi\) | |||||||
\(920\) | −8617.02 | + | 5874.98i | −0.308798 | + | 0.210535i | ||||
\(921\) | 2544.55 | + | 6483.41i | 0.0910378 | + | 0.231960i | ||||
\(922\) | 48307.8 | − | 14901.0i | 1.72552 | − | 0.532254i | ||||
\(923\) | 8356.01 | − | 7753.25i | 0.297986 | − | 0.276491i | ||||
\(924\) | 2.13706 | − | 2.67979i | 7.60868e−5 | − | 9.54098e-5i | ||||
\(925\) | 1020.83 | − | 1280.08i | 0.0362861 | − | 0.0455013i | ||||
\(926\) | −1686.77 | + | 1565.09i | −0.0598603 | + | 0.0555422i | ||||
\(927\) | 18353.6 | − | 5661.33i | 0.650281 | − | 0.200585i | ||||
\(928\) | 599.550 | + | 1527.63i | 0.0212082 | + | 0.0540376i | ||||
\(929\) | 8224.70 | − | 5607.50i | 0.290467 | − | 0.198037i | −0.409316 | − | 0.912393i | \(-0.634233\pi\) |
0.699783 | + | 0.714356i | \(0.253280\pi\) | |||||||
\(930\) | −299.871 | − | 144.410i | −0.0105733 | − | 0.00509182i | ||||
\(931\) | 31850.3 | + | 29552.7i | 1.12121 | + | 1.04033i | ||||
\(932\) | −1667.40 | + | 251.319i | −0.0586023 | + | 0.00883288i | ||||
\(933\) | −56.9519 | + | 759.971i | −0.00199842 | + | 0.0266670i | ||||
\(934\) | 5144.38 | − | 13107.7i | 0.180224 | − | 0.459204i | ||||
\(935\) | 96.2808 | + | 421.834i | 0.00336761 | + | 0.0147545i | ||||
\(936\) | −1175.78 | − | 15689.7i | −0.0410594 | − | 0.547900i | ||||
\(937\) | −20914.4 | − | 6451.24i | −0.729183 | − | 0.224923i | −0.0921340 | − | 0.995747i | \(-0.529369\pi\) |
−0.637049 | + | 0.770824i | \(0.719845\pi\) | |||||||
\(938\) | 18922.3 | − | 9112.50i | 0.658673 | − | 0.317200i | ||||
\(939\) | −256.249 | + | 443.836i | −0.00890561 | + | 0.0154250i | ||||
\(940\) | −870.939 | − | 1508.51i | −0.0302201 | − | 0.0523428i | ||||
\(941\) | 15957.8 | + | 10879.9i | 0.552827 | + | 0.376911i | 0.807275 | − | 0.590175i | \(-0.200941\pi\) |
−0.254448 | + | 0.967086i | \(0.581894\pi\) | |||||||
\(942\) | −1472.43 | + | 6451.14i | −0.0509282 | + | 0.223131i | ||||
\(943\) | 2868.86 | + | 432.411i | 0.0990699 | + | 0.0149324i | ||||
\(944\) | −7270.74 | − | 9117.22i | −0.250681 | − | 0.314344i | ||||
\(945\) | 4257.35 | 0.146552 | ||||||||
\(946\) | 488.763 | + | 118.609i | 0.0167982 | + | 0.00407644i | ||||
\(947\) | 29898.4 | 1.02594 | 0.512971 | − | 0.858406i | \(-0.328545\pi\) | ||||
0.512971 | + | 0.858406i | \(0.328545\pi\) | |||||||
\(948\) | 299.678 | + | 375.784i | 0.0102670 | + | 0.0128744i | ||||
\(949\) | −14593.5 | − | 2199.62i | −0.499184 | − | 0.0752399i | ||||
\(950\) | −926.348 | + | 4058.60i | −0.0316365 | + | 0.138609i | ||||
\(951\) | −1475.20 | − | 1005.77i | −0.0503013 | − | 0.0342949i | ||||
\(952\) | 6135.61 | + | 10627.2i | 0.208882 | + | 0.361795i | ||||
\(953\) | −15624.4 | + | 27062.2i | −0.531084 | + | 0.919864i | 0.468258 | + | 0.883592i | \(0.344882\pi\) |
−0.999342 | + | 0.0362722i | \(0.988452\pi\) | |||||||
\(954\) | 31399.1 | − | 15121.0i | 1.06560 | − | 0.513166i | ||||
\(955\) | −18250.6 | − | 5629.55i | −0.618402 | − | 0.190752i | ||||
\(956\) | −50.2585 | − | 670.653i | −0.00170029 | − | 0.0226888i | ||||
\(957\) | 5.47461 | + | 23.9859i | 0.000184921 | + | 0.000810191i | ||||
\(958\) | −3464.63 | + | 8827.73i | −0.116845 | + | 0.297715i | ||||
\(959\) | 1504.20 | − | 20072.1i | 0.0506496 | − | 0.675873i | ||||
\(960\) | −4170.42 | + | 628.590i | −0.140208 | + | 0.0211330i | ||||
\(961\) | 21731.1 | + | 20163.5i | 0.729451 | + | 0.676832i | ||||
\(962\) | −14041.5 | − | 6762.03i | −0.470599 | − | 0.226628i | ||||
\(963\) | −34254.5 | + | 23354.3i | −1.14625 | + | 0.781497i | ||||
\(964\) | −1631.01 | − | 4155.75i | −0.0544931 | − | 0.138846i | ||||
\(965\) | −36791.1 | + | 11348.6i | −1.22730 | + | 0.378573i | ||||
\(966\) | 726.600 | − | 674.187i | 0.0242008 | − | 0.0224551i | ||||
\(967\) | 12199.6 | − | 15297.8i | 0.405700 | − | 0.508732i | −0.536446 | − | 0.843935i | \(-0.680233\pi\) |
0.942146 | + | 0.335203i | \(0.108805\pi\) | |||||||
\(968\) | −17766.9 | + | 22279.0i | −0.589928 | + | 0.739746i | ||||
\(969\) | 6795.26 | − | 6305.08i | 0.225279 | − | 0.209028i | ||||
\(970\) | 7150.28 | − | 2205.57i | 0.236682 | − | 0.0730068i | ||||
\(971\) | 6571.15 | + | 16743.0i | 0.217176 | + | 0.553356i | 0.997394 | − | 0.0721525i | \(-0.0229868\pi\) |
−0.780217 | + | 0.625508i | \(0.784892\pi\) | |||||||
\(972\) | −1151.58 | + | 785.136i | −0.0380011 | + | 0.0259087i | ||||
\(973\) | −17455.5 | − | 8406.11i | −0.575125 | − | 0.276966i | ||||
\(974\) | 16248.7 | + | 15076.6i | 0.534542 | + | 0.495982i | ||||
\(975\) | −207.493 | + | 31.2746i | −0.00681549 | + | 0.00102727i | ||||
\(976\) | −4020.38 | + | 53648.2i | −0.131854 | + | 1.75947i | ||||
\(977\) | −4302.84 | + | 10963.5i | −0.140901 | + | 0.359009i | −0.983853 | − | 0.178979i | \(-0.942720\pi\) |
0.842952 | + | 0.537989i | \(0.180816\pi\) | |||||||
\(978\) | −733.755 | − | 3214.79i | −0.0239907 | − | 0.105110i | ||||
\(979\) | −14.3131 | − | 190.996i | −0.000467263 | − | 0.00623519i | ||||
\(980\) | 2127.68 | + | 656.304i | 0.0693534 | + | 0.0213927i | ||||
\(981\) | 33814.2 | − | 16284.1i | 1.10051 | − | 0.529980i | ||||
\(982\) | −26975.4 | + | 46722.7i | −0.876598 | + | 1.51831i | ||||
\(983\) | 3598.10 | + | 6232.10i | 0.116746 | + | 0.202211i | 0.918477 | − | 0.395476i | \(-0.129420\pi\) |
−0.801730 | + | 0.597686i | \(0.796087\pi\) | |||||||
\(984\) | 979.458 | + | 667.783i | 0.0317317 | + | 0.0216343i | ||||
\(985\) | 9453.72 | − | 41419.4i | 0.305808 | − | 1.33983i | ||||
\(986\) | 9243.87 | + | 1393.29i | 0.298565 | + | 0.0450014i | ||||
\(987\) | −972.540 | − | 1219.53i | −0.0313640 | − | 0.0393292i | ||||
\(988\) | 3469.25 | 0.111712 | ||||||||
\(989\) | 11788.6 | + | 4813.67i | 0.379025 | + | 0.154768i | ||||
\(990\) | −505.078 | −0.0162146 | ||||||||
\(991\) | 18598.4 | + | 23321.7i | 0.596164 | + | 0.747566i | 0.984775 | − | 0.173836i | \(-0.0556162\pi\) |
−0.388610 | + | 0.921402i | \(0.627045\pi\) | |||||||
\(992\) | 414.141 | + | 62.4217i | 0.0132550 | + | 0.00199787i | ||||
\(993\) | 618.893 | − | 2711.55i | 0.0197784 | − | 0.0866550i | ||||
\(994\) | −8574.64 | − | 5846.09i | −0.273613 | − | 0.186546i | ||||
\(995\) | −13837.5 | − | 23967.2i | −0.440881 | − | 0.763629i | ||||
\(996\) | 213.908 | − | 370.500i | 0.00680517 | − | 0.0117869i | ||||
\(997\) | −5733.14 | + | 2760.93i | −0.182117 | + | 0.0877027i | −0.522720 | − | 0.852504i | \(-0.675083\pi\) |
0.340604 | + | 0.940207i | \(0.389369\pi\) | |||||||
\(998\) | 16055.9 | + | 4952.60i | 0.509260 | + | 0.157086i | ||||
\(999\) | −645.065 | − | 8607.79i | −0.0204294 | − | 0.272611i |
(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 | 43.4.g.a.9.3 | ✓ | 120 | |
43.14 | even | 21 | 1849.4.a.l.1.15 | 60 | |||
43.24 | even | 21 | inner | 43.4.g.a.24.3 | yes | 120 | |
43.29 | odd | 42 | 1849.4.a.k.1.46 | 60 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.4.g.a.9.3 | ✓ | 120 | 1.1 | even | 1 | trivial | |
43.4.g.a.24.3 | yes | 120 | 43.24 | even | 21 | inner | |
1849.4.a.k.1.46 | 60 | 43.29 | odd | 42 | |||
1849.4.a.l.1.15 | 60 | 43.14 | even | 21 |