Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [429,2,Mod(4,429)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(429, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([0, 6, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("429.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 429 = 3 \cdot 11 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 429.bn (of order \(30\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.42558224671\) |
Analytic rank: | \(0\) |
Dimension: | \(112\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 4.13 | ||
Character | \(\chi\) | \(=\) | 429.4 |
Dual form | 429.2.bn.a.322.13 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/429\mathbb{Z}\right)^\times\).
\(n\) | \(67\) | \(79\) | \(287\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{1}{5}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.896442 | + | 2.01344i | 0.633880 | + | 1.42372i | 0.889497 | + | 0.456940i | \(0.151055\pi\) |
−0.255617 | + | 0.966778i | \(0.582279\pi\) | |||||||
\(3\) | −0.669131 | − | 0.743145i | −0.386323 | − | 0.429055i | ||||
\(4\) | −1.91208 | + | 2.12358i | −0.956039 | + | 1.06179i | ||||
\(5\) | 0.00844073 | + | 0.0116177i | 0.00377481 | + | 0.00519558i | 0.810900 | − | 0.585184i | \(-0.198978\pi\) |
−0.807125 | + | 0.590380i | \(0.798978\pi\) | |||||||
\(6\) | 0.896442 | − | 2.01344i | 0.365971 | − | 0.821984i | ||||
\(7\) | 1.50438 | + | 1.35455i | 0.568603 | + | 0.511973i | 0.902530 | − | 0.430626i | \(-0.141707\pi\) |
−0.333927 | + | 0.942599i | \(0.608374\pi\) | |||||||
\(8\) | −1.79754 | − | 0.584056i | −0.635526 | − | 0.206495i | ||||
\(9\) | −0.104528 | + | 0.994522i | −0.0348428 | + | 0.331507i | ||||
\(10\) | −0.0158249 | + | 0.0274095i | −0.00500427 | + | 0.00866764i | ||||
\(11\) | −2.17987 | + | 2.49964i | −0.657255 | + | 0.753669i | ||||
\(12\) | 2.85756 | 0.824906 | ||||||||
\(13\) | −3.18964 | + | 1.68112i | −0.884648 | + | 0.466260i | ||||
\(14\) | −1.37872 | + | 4.24327i | −0.368479 | + | 1.13406i | ||||
\(15\) | 0.00298566 | − | 0.0140464i | 0.000770894 | − | 0.00362677i | ||||
\(16\) | 0.161965 | + | 1.54099i | 0.0404913 | + | 0.385249i | ||||
\(17\) | 4.34505 | + | 1.93454i | 1.05383 | + | 0.469195i | 0.859178 | − | 0.511677i | \(-0.170976\pi\) |
0.194652 | + | 0.980872i | \(0.437642\pi\) | |||||||
\(18\) | −2.09612 | + | 0.681069i | −0.494059 | + | 0.160530i | ||||
\(19\) | 0.768649 | + | 3.61621i | 0.176340 | + | 0.829616i | 0.974007 | + | 0.226517i | \(0.0727340\pi\) |
−0.797667 | + | 0.603098i | \(0.793933\pi\) | |||||||
\(20\) | −0.0408104 | − | 0.00428934i | −0.00912548 | − | 0.000959126i | ||||
\(21\) | − | 2.02435i | − | 0.441749i | ||||||
\(22\) | −6.98700 | − | 2.14826i | −1.48963 | − | 0.458010i | ||||
\(23\) | −0.869781 | + | 1.50651i | −0.181362 | + | 0.314128i | −0.942345 | − | 0.334644i | \(-0.891384\pi\) |
0.760983 | + | 0.648772i | \(0.224717\pi\) | |||||||
\(24\) | 0.768750 | + | 1.72664i | 0.156920 | + | 0.352449i | ||||
\(25\) | 1.54502 | − | 4.75509i | 0.309004 | − | 0.951017i | ||||
\(26\) | −6.24418 | − | 4.91513i | −1.22458 | − | 0.963936i | ||||
\(27\) | 0.809017 | − | 0.587785i | 0.155695 | − | 0.113119i | ||||
\(28\) | −5.75300 | + | 0.604664i | −1.08721 | + | 0.114271i | ||||
\(29\) | −2.53578 | − | 0.538996i | −0.470882 | − | 0.100089i | −0.0336420 | − | 0.999434i | \(-0.510711\pi\) |
−0.437240 | + | 0.899345i | \(0.644044\pi\) | |||||||
\(30\) | 0.0309581 | − | 0.00658035i | 0.00565216 | − | 0.00120140i | ||||
\(31\) | 4.45712 | − | 6.13469i | 0.800522 | − | 1.10182i | −0.192196 | − | 0.981357i | \(-0.561561\pi\) |
0.992717 | − | 0.120467i | \(-0.0384392\pi\) | |||||||
\(32\) | −6.23116 | + | 3.59756i | −1.10152 | + | 0.635965i | ||||
\(33\) | 3.31621 | − | 0.0526264i | 0.577278 | − | 0.00916108i | ||||
\(34\) | 10.4827i | 1.79777i | ||||||||
\(35\) | −0.00303865 | + | 0.0289108i | −0.000513626 | + | 0.00488682i | ||||
\(36\) | −1.91208 | − | 2.12358i | −0.318680 | − | 0.353930i | ||||
\(37\) | 1.74330 | − | 8.20157i | 0.286596 | − | 1.34833i | −0.565415 | − | 0.824807i | \(-0.691284\pi\) |
0.852011 | − | 0.523524i | \(-0.175383\pi\) | |||||||
\(38\) | −6.59198 | + | 4.78935i | −1.06936 | + | 0.776936i | ||||
\(39\) | 3.38361 | + | 1.24547i | 0.541811 | + | 0.199436i | ||||
\(40\) | −0.00838717 | − | 0.0258131i | −0.00132613 | − | 0.00408140i | ||||
\(41\) | −6.52336 | + | 5.87366i | −1.01878 | + | 0.917312i | −0.996596 | − | 0.0824418i | \(-0.973728\pi\) |
−0.0221825 | + | 0.999754i | \(0.507061\pi\) | |||||||
\(42\) | 4.07591 | − | 1.81471i | 0.628926 | − | 0.280016i | ||||
\(43\) | −2.03391 | − | 3.52284i | −0.310168 | − | 0.537227i | 0.668230 | − | 0.743954i | \(-0.267052\pi\) |
−0.978399 | + | 0.206727i | \(0.933719\pi\) | |||||||
\(44\) | −1.14010 | − | 9.40862i | −0.171876 | − | 1.41840i | ||||
\(45\) | −0.0124363 | + | 0.00718012i | −0.00185390 | + | 0.00107035i | ||||
\(46\) | −3.81297 | − | 0.400759i | −0.562192 | − | 0.0590887i | ||||
\(47\) | 7.78071 | + | 2.52811i | 1.13493 | + | 0.368762i | 0.815449 | − | 0.578829i | \(-0.196490\pi\) |
0.319485 | + | 0.947591i | \(0.396490\pi\) | |||||||
\(48\) | 1.03681 | − | 1.15149i | 0.149650 | − | 0.166203i | ||||
\(49\) | −0.303343 | − | 2.88612i | −0.0433348 | − | 0.412303i | ||||
\(50\) | 10.9591 | − | 1.15185i | 1.54985 | − | 0.162896i | ||||
\(51\) | −1.46976 | − | 4.52346i | −0.205808 | − | 0.633411i | ||||
\(52\) | 2.52885 | − | 9.98790i | 0.350688 | − | 1.38507i | ||||
\(53\) | 5.09189 | + | 3.69948i | 0.699426 | + | 0.508162i | 0.879745 | − | 0.475446i | \(-0.157713\pi\) |
−0.180320 | + | 0.983608i | \(0.557713\pi\) | |||||||
\(54\) | 1.90871 | + | 1.10199i | 0.259742 | + | 0.149962i | ||||
\(55\) | −0.0474396 | − | 0.00422622i | −0.00639676 | − | 0.000569863i | ||||
\(56\) | −1.91305 | − | 3.31350i | −0.255642 | − | 0.442786i | ||||
\(57\) | 2.17304 | − | 2.99094i | 0.287826 | − | 0.396159i | ||||
\(58\) | −1.18794 | − | 5.58882i | −0.155984 | − | 0.733848i | ||||
\(59\) | 4.63924 | + | 4.17719i | 0.603978 | + | 0.543824i | 0.913380 | − | 0.407107i | \(-0.133462\pi\) |
−0.309403 | + | 0.950931i | \(0.600129\pi\) | |||||||
\(60\) | 0.0241199 | + | 0.0331982i | 0.00311386 | + | 0.00428586i | ||||
\(61\) | −2.33499 | − | 1.03961i | −0.298965 | − | 0.133108i | 0.251772 | − | 0.967787i | \(-0.418987\pi\) |
−0.550737 | + | 0.834679i | \(0.685653\pi\) | |||||||
\(62\) | 16.3474 | + | 3.47475i | 2.07612 | + | 0.441293i | ||||
\(63\) | −1.50438 | + | 1.35455i | −0.189534 | + | 0.170658i | ||||
\(64\) | −10.3222 | − | 7.49955i | −1.29028 | − | 0.937444i | ||||
\(65\) | −0.0464537 | − | 0.0228663i | −0.00576187 | − | 0.00283622i | ||||
\(66\) | 3.07875 | + | 6.62981i | 0.378968 | + | 0.816074i | ||||
\(67\) | 6.17671 | + | 3.56612i | 0.754605 | + | 0.435671i | 0.827355 | − | 0.561679i | \(-0.189844\pi\) |
−0.0727506 | + | 0.997350i | \(0.523178\pi\) | |||||||
\(68\) | −12.4162 | + | 5.52806i | −1.50569 | + | 0.670376i | ||||
\(69\) | 1.70155 | − | 0.361675i | 0.204842 | − | 0.0435406i | ||||
\(70\) | −0.0609343 | + | 0.0197987i | −0.00728304 | + | 0.00236640i | ||||
\(71\) | 5.86118 | − | 13.1644i | 0.695594 | − | 1.56233i | −0.125855 | − | 0.992049i | \(-0.540167\pi\) |
0.821449 | − | 0.570281i | \(-0.193166\pi\) | |||||||
\(72\) | 0.768750 | − | 1.72664i | 0.0905981 | − | 0.203487i | ||||
\(73\) | 10.4280 | − | 3.38828i | 1.22051 | − | 0.396568i | 0.373243 | − | 0.927734i | \(-0.378246\pi\) |
0.847268 | + | 0.531166i | \(0.178246\pi\) | |||||||
\(74\) | 18.0762 | − | 3.84221i | 2.10131 | − | 0.446647i | ||||
\(75\) | −4.56754 | + | 2.03360i | −0.527414 | + | 0.234820i | ||||
\(76\) | −9.14903 | − | 5.28219i | −1.04947 | − | 0.605909i | ||||
\(77\) | −6.66524 | + | 0.807666i | −0.759575 | + | 0.0920421i | ||||
\(78\) | 0.525516 | + | 7.92919i | 0.0595030 | + | 0.897804i | ||||
\(79\) | 8.24623 | + | 5.99124i | 0.927773 | + | 0.674067i | 0.945447 | − | 0.325777i | \(-0.105626\pi\) |
−0.0176733 | + | 0.999844i | \(0.505626\pi\) | |||||||
\(80\) | −0.0165357 | + | 0.0148888i | −0.00184874 | + | 0.00166462i | ||||
\(81\) | −0.978148 | − | 0.207912i | −0.108683 | − | 0.0231013i | ||||
\(82\) | −17.6741 | − | 7.86902i | −1.95178 | − | 0.868987i | ||||
\(83\) | −1.73085 | − | 2.38231i | −0.189985 | − | 0.261492i | 0.703389 | − | 0.710805i | \(-0.251669\pi\) |
−0.893375 | + | 0.449312i | \(0.851669\pi\) | |||||||
\(84\) | 4.29886 | + | 3.87071i | 0.469044 | + | 0.422329i | ||||
\(85\) | 0.0142005 | + | 0.0668083i | 0.00154027 | + | 0.00724638i | ||||
\(86\) | 5.26974 | − | 7.25318i | 0.568251 | − | 0.782130i | ||||
\(87\) | 1.29621 | + | 2.24511i | 0.138969 | + | 0.240701i | ||||
\(88\) | 5.37832 | − | 3.22003i | 0.573331 | − | 0.343256i | ||||
\(89\) | 9.72766 | + | 5.61627i | 1.03113 | + | 0.595323i | 0.917308 | − | 0.398178i | \(-0.130357\pi\) |
0.113822 | + | 0.993501i | \(0.463691\pi\) | |||||||
\(90\) | −0.0256052 | − | 0.0186033i | −0.00269902 | − | 0.00196096i | ||||
\(91\) | −7.07562 | − | 1.79148i | −0.741726 | − | 0.187799i | ||||
\(92\) | −1.53609 | − | 4.72760i | −0.160149 | − | 0.492887i | ||||
\(93\) | −7.54136 | + | 0.792629i | −0.782002 | + | 0.0821918i | ||||
\(94\) | 1.88476 | + | 17.9323i | 0.194398 | + | 1.84958i | ||||
\(95\) | −0.0355240 | + | 0.0394534i | −0.00364468 | + | 0.00404783i | ||||
\(96\) | 6.84297 | + | 2.22342i | 0.698408 | + | 0.226926i | ||||
\(97\) | −12.6792 | − | 1.33264i | −1.28738 | − | 0.135309i | −0.564009 | − | 0.825769i | \(-0.690742\pi\) |
−0.723371 | + | 0.690460i | \(0.757408\pi\) | |||||||
\(98\) | 5.53911 | − | 3.19800i | 0.559534 | − | 0.323047i | ||||
\(99\) | −2.25808 | − | 2.42921i | −0.226946 | − | 0.244145i | ||||
\(100\) | 7.14360 | + | 12.3731i | 0.714360 | + | 1.23731i | ||||
\(101\) | −6.51146 | + | 2.89909i | −0.647915 | + | 0.288470i | −0.704261 | − | 0.709941i | \(-0.748722\pi\) |
0.0563464 | + | 0.998411i | \(0.482055\pi\) | |||||||
\(102\) | 7.79017 | − | 7.01430i | 0.771342 | − | 0.694519i | ||||
\(103\) | −4.19585 | − | 12.9135i | −0.413429 | − | 1.27240i | −0.913649 | − | 0.406505i | \(-0.866747\pi\) |
0.500219 | − | 0.865899i | \(-0.333253\pi\) | |||||||
\(104\) | 6.71538 | − | 1.15896i | 0.658497 | − | 0.113645i | ||||
\(105\) | 0.0235182 | − | 0.0170870i | 0.00229514 | − | 0.00166752i | ||||
\(106\) | −2.88410 | + | 13.5686i | −0.280128 | + | 1.31790i | ||||
\(107\) | −0.885799 | − | 0.983779i | −0.0856334 | − | 0.0951055i | 0.698805 | − | 0.715312i | \(-0.253715\pi\) |
−0.784439 | + | 0.620207i | \(0.787049\pi\) | |||||||
\(108\) | −0.298696 | + | 2.84190i | −0.0287420 | + | 0.273462i | ||||
\(109\) | − | 7.82216i | − | 0.749227i | −0.927181 | − | 0.374613i | \(-0.877775\pi\) | ||
0.927181 | − | 0.374613i | \(-0.122225\pi\) | |||||||
\(110\) | −0.0340176 | − | 0.0993055i | −0.00324345 | − | 0.00946841i | ||||
\(111\) | −7.26145 | + | 4.19240i | −0.689226 | + | 0.397925i | ||||
\(112\) | −1.84370 | + | 2.53764i | −0.174213 | + | 0.239784i | ||||
\(113\) | −15.3197 | + | 3.25631i | −1.44116 | + | 0.306328i | −0.861179 | − | 0.508302i | \(-0.830273\pi\) |
−0.579981 | + | 0.814630i | \(0.696940\pi\) | |||||||
\(114\) | 7.97008 | + | 1.69409i | 0.746466 | + | 0.158666i | ||||
\(115\) | −0.0248437 | + | 0.00261117i | −0.00231668 | + | 0.000243493i | ||||
\(116\) | 5.99321 | − | 4.35432i | 0.556455 | − | 0.404288i | ||||
\(117\) | −1.33851 | − | 3.34789i | −0.123745 | − | 0.309513i | ||||
\(118\) | −4.25172 | + | 13.0855i | −0.391403 | + | 1.20461i | ||||
\(119\) | 3.91618 | + | 8.79589i | 0.358996 | + | 0.806318i | ||||
\(120\) | −0.0135707 | + | 0.0235052i | −0.00123883 | + | 0.00214572i | ||||
\(121\) | −1.49636 | − | 10.8977i | −0.136033 | − | 0.990704i | ||||
\(122\) | − | 5.63332i | − | 0.510017i | ||||||
\(123\) | 8.72997 | + | 0.917556i | 0.787154 | + | 0.0827333i | ||||
\(124\) | 4.50515 | + | 21.1951i | 0.404574 | + | 1.90337i | ||||
\(125\) | 0.136571 | − | 0.0443746i | 0.0122153 | − | 0.00396899i | ||||
\(126\) | −4.07591 | − | 1.81471i | −0.363111 | − | 0.161667i | ||||
\(127\) | 0.617933 | + | 5.87924i | 0.0548326 | + | 0.521698i | 0.987120 | + | 0.159980i | \(0.0511430\pi\) |
−0.932288 | + | 0.361718i | \(0.882190\pi\) | |||||||
\(128\) | 2.85471 | − | 13.4304i | 0.252323 | − | 1.18709i | ||||
\(129\) | −1.25703 | + | 3.86873i | −0.110675 | + | 0.340622i | ||||
\(130\) | 0.00439694 | − | 0.114030i | 0.000385637 | − | 0.0100011i | ||||
\(131\) | −6.06289 | −0.529717 | −0.264859 | − | 0.964287i | \(-0.585325\pi\) | ||||
−0.264859 | + | 0.964287i | \(0.585325\pi\) | |||||||
\(132\) | −6.22909 | + | 7.14285i | −0.542173 | + | 0.621706i | ||||
\(133\) | −3.74201 | + | 6.48134i | −0.324473 | + | 0.562004i | ||||
\(134\) | −1.64312 | + | 15.6333i | −0.141944 | + | 1.35051i | ||||
\(135\) | 0.0136574 | + | 0.00443756i | 0.00117544 | + | 0.000381924i | ||||
\(136\) | −6.68052 | − | 6.01516i | −0.572849 | − | 0.515796i | ||||
\(137\) | 6.51041 | − | 14.6226i | 0.556222 | − | 1.24929i | −0.388508 | − | 0.921445i | \(-0.627009\pi\) |
0.944730 | − | 0.327850i | \(-0.106324\pi\) | |||||||
\(138\) | 2.25355 | + | 3.10175i | 0.191835 | + | 0.264038i | ||||
\(139\) | −0.732168 | + | 0.813154i | −0.0621016 | + | 0.0689709i | −0.773395 | − | 0.633924i | \(-0.781443\pi\) |
0.711293 | + | 0.702895i | \(0.248110\pi\) | |||||||
\(140\) | −0.0555843 | − | 0.0617326i | −0.00469773 | − | 0.00521736i | ||||
\(141\) | −3.32756 | − | 7.47383i | −0.280231 | − | 0.629410i | ||||
\(142\) | 31.7600 | 2.66524 | ||||||||
\(143\) | 2.75080 | − | 11.6376i | 0.230033 | − | 0.973183i | ||||
\(144\) | −1.54948 | −0.129124 | ||||||||
\(145\) | −0.0151419 | − | 0.0340093i | −0.00125747 | − | 0.00282432i | ||||
\(146\) | 16.1702 | + | 17.9589i | 1.33826 | + | 1.48629i | ||||
\(147\) | −1.94183 | + | 2.15662i | −0.160159 | + | 0.177875i | ||||
\(148\) | 14.0834 | + | 19.3841i | 1.15765 | + | 1.59336i | ||||
\(149\) | 6.66092 | − | 14.9607i | 0.545684 | − | 1.22563i | −0.404673 | − | 0.914462i | \(-0.632615\pi\) |
0.950356 | − | 0.311164i | \(-0.100719\pi\) | |||||||
\(150\) | −8.18907 | − | 7.37347i | −0.668635 | − | 0.602041i | ||||
\(151\) | 16.7411 | + | 5.43950i | 1.36237 | + | 0.442660i | 0.896833 | − | 0.442369i | \(-0.145862\pi\) |
0.465535 | + | 0.885029i | \(0.345862\pi\) | |||||||
\(152\) | 0.730392 | − | 6.94921i | 0.0592426 | − | 0.563656i | ||||
\(153\) | −2.37812 | + | 4.11903i | −0.192260 | + | 0.333004i | ||||
\(154\) | −7.60119 | − | 12.6961i | −0.612522 | − | 1.02308i | ||||
\(155\) | 0.108892 | 0.00874643 | ||||||||
\(156\) | −9.11459 | + | 4.80391i | −0.729751 | + | 0.384621i | ||||
\(157\) | 1.25199 | − | 3.85323i | 0.0999196 | − | 0.307521i | −0.888585 | − | 0.458712i | \(-0.848311\pi\) |
0.988505 | + | 0.151191i | \(0.0483109\pi\) | |||||||
\(158\) | −4.67074 | + | 21.9741i | −0.371584 | + | 1.74817i | ||||
\(159\) | −0.657895 | − | 6.25945i | −0.0521744 | − | 0.496407i | ||||
\(160\) | −0.0943909 | − | 0.0420255i | −0.00746225 | − | 0.00332241i | ||||
\(161\) | −3.34912 | + | 1.08820i | −0.263948 | + | 0.0857619i | ||||
\(162\) | −0.458235 | − | 2.15582i | −0.0360023 | − | 0.169378i | ||||
\(163\) | −6.47880 | − | 0.680949i | −0.507459 | − | 0.0533361i | −0.152660 | − | 0.988279i | \(-0.548784\pi\) |
−0.354799 | + | 0.934943i | \(0.615451\pi\) | |||||||
\(164\) | − | 25.0838i | − | 1.95871i | ||||||
\(165\) | 0.0286026 | + | 0.0380824i | 0.00222671 | + | 0.00296471i | ||||
\(166\) | 3.24503 | − | 5.62056i | 0.251864 | − | 0.436240i | ||||
\(167\) | 7.77244 | + | 17.4572i | 0.601449 | + | 1.35088i | 0.915825 | + | 0.401579i | \(0.131538\pi\) |
−0.314375 | + | 0.949299i | \(0.601795\pi\) | |||||||
\(168\) | −1.18233 | + | 3.63884i | −0.0912189 | + | 0.280743i | ||||
\(169\) | 7.34764 | − | 10.7244i | 0.565203 | − | 0.824952i | ||||
\(170\) | −0.121785 | + | 0.0884817i | −0.00934046 | + | 0.00678624i | ||||
\(171\) | −3.67675 | + | 0.386442i | −0.281168 | + | 0.0295519i | ||||
\(172\) | 11.3700 | + | 2.41677i | 0.866955 | + | 0.184277i | ||||
\(173\) | 0.932953 | − | 0.198305i | 0.0709311 | − | 0.0150769i | −0.172309 | − | 0.985043i | \(-0.555123\pi\) |
0.243241 | + | 0.969966i | \(0.421790\pi\) | |||||||
\(174\) | −3.35841 | + | 4.62246i | −0.254601 | + | 0.350428i | ||||
\(175\) | 8.76532 | − | 5.06066i | 0.662596 | − | 0.382550i | ||||
\(176\) | −4.20499 | − | 2.95431i | −0.316963 | − | 0.222689i | ||||
\(177\) | − | 6.24272i | − | 0.469231i | ||||||
\(178\) | −2.58774 | + | 24.6207i | −0.193960 | + | 1.84540i | ||||
\(179\) | 1.34427 | + | 1.49297i | 0.100476 | + | 0.111590i | 0.791285 | − | 0.611447i | \(-0.209412\pi\) |
−0.690809 | + | 0.723037i | \(0.742746\pi\) | |||||||
\(180\) | 0.00853169 | − | 0.0401385i | 0.000635915 | − | 0.00299174i | ||||
\(181\) | −10.1565 | + | 7.37916i | −0.754930 | + | 0.548489i | −0.897351 | − | 0.441317i | \(-0.854511\pi\) |
0.142421 | + | 0.989806i | \(0.454511\pi\) | |||||||
\(182\) | −2.73583 | − | 15.8523i | −0.202793 | − | 1.17505i | ||||
\(183\) | 0.789837 | + | 2.43087i | 0.0583865 | + | 0.179695i | ||||
\(184\) | 2.44335 | − | 2.20000i | 0.180126 | − | 0.162186i | ||||
\(185\) | 0.109998 | − | 0.0489742i | 0.00808721 | − | 0.00360066i | ||||
\(186\) | −8.35630 | − | 14.4735i | −0.612714 | − | 1.06125i | ||||
\(187\) | −14.3073 | + | 6.64400i | −1.04625 | + | 0.485858i | ||||
\(188\) | −20.2460 | + | 11.6890i | −1.47659 | + | 0.852509i | ||||
\(189\) | 2.01326 | + | 0.211602i | 0.146443 | + | 0.0153918i | ||||
\(190\) | −0.111282 | − | 0.0361578i | −0.00807327 | − | 0.00262316i | ||||
\(191\) | −6.11704 | + | 6.79367i | −0.442614 | + | 0.491572i | −0.922629 | − | 0.385687i | \(-0.873964\pi\) |
0.480016 | + | 0.877260i | \(0.340631\pi\) | |||||||
\(192\) | 1.33368 | + | 12.6891i | 0.0962499 | + | 0.915757i | ||||
\(193\) | −20.4112 | + | 2.14530i | −1.46923 | + | 0.154422i | −0.805076 | − | 0.593172i | \(-0.797875\pi\) |
−0.664156 | + | 0.747594i | \(0.731209\pi\) | |||||||
\(194\) | −8.68299 | − | 26.7235i | −0.623402 | − | 1.91864i | ||||
\(195\) | 0.0140906 | + | 0.0498223i | 0.00100905 | + | 0.00356785i | ||||
\(196\) | 6.70892 | + | 4.87432i | 0.479209 | + | 0.348165i | ||||
\(197\) | −11.5560 | − | 6.67187i | −0.823332 | − | 0.475351i | 0.0282322 | − | 0.999601i | \(-0.491012\pi\) |
−0.851564 | + | 0.524251i | \(0.824346\pi\) | |||||||
\(198\) | 2.86683 | − | 6.72417i | 0.203737 | − | 0.477866i | ||||
\(199\) | 0.758465 | + | 1.31370i | 0.0537662 | + | 0.0931258i | 0.891656 | − | 0.452714i | \(-0.149544\pi\) |
−0.837890 | + | 0.545840i | \(0.816211\pi\) | |||||||
\(200\) | −5.55447 | + | 7.64507i | −0.392760 | + | 0.540588i | ||||
\(201\) | −1.48288 | − | 6.97639i | −0.104594 | − | 0.492077i | ||||
\(202\) | −11.6743 | − | 10.5116i | −0.821401 | − | 0.739592i | ||||
\(203\) | −3.08468 | − | 4.24570i | −0.216502 | − | 0.297990i | ||||
\(204\) | 12.4162 | + | 5.52806i | 0.869310 | + | 0.387042i | ||||
\(205\) | −0.123300 | − | 0.0262083i | −0.00861166 | − | 0.00183047i | ||||
\(206\) | 22.2392 | − | 20.0243i | 1.54948 | − | 1.39516i | ||||
\(207\) | −1.40734 | − | 1.02249i | −0.0978166 | − | 0.0710679i | ||||
\(208\) | −3.10721 | − | 4.64294i | −0.215447 | − | 0.321930i | ||||
\(209\) | −10.7148 | − | 5.96151i | −0.741156 | − | 0.412367i | ||||
\(210\) | 0.0554863 | + | 0.0320350i | 0.00382892 | + | 0.00221063i | ||||
\(211\) | 20.8779 | − | 9.29546i | 1.43730 | − | 0.639926i | 0.467534 | − | 0.883975i | \(-0.345142\pi\) |
0.969763 | + | 0.244049i | \(0.0784758\pi\) | |||||||
\(212\) | −17.5922 | + | 3.73935i | −1.20824 | + | 0.256819i | ||||
\(213\) | −13.7050 | + | 4.45302i | −0.939049 | + | 0.305116i | ||||
\(214\) | 1.18671 | − | 2.66541i | 0.0811222 | − | 0.182203i | ||||
\(215\) | 0.0237595 | − | 0.0533646i | 0.00162038 | − | 0.00363944i | ||||
\(216\) | −1.79754 | + | 0.584056i | −0.122307 | + | 0.0397400i | ||||
\(217\) | 15.0150 | − | 3.19153i | 1.01928 | − | 0.216655i | ||||
\(218\) | 15.7495 | − | 7.01211i | 1.06669 | − | 0.474920i | ||||
\(219\) | −9.49571 | − | 5.48235i | −0.641660 | − | 0.370463i | ||||
\(220\) | 0.0996830 | − | 0.0926609i | 0.00672063 | − | 0.00624720i | ||||
\(221\) | −17.1114 | + | 1.13408i | −1.15103 | + | 0.0762862i | ||||
\(222\) | −14.9506 | − | 10.8623i | −1.00342 | − | 0.729028i | ||||
\(223\) | −8.19102 | + | 7.37523i | −0.548511 | + | 0.493882i | −0.896153 | − | 0.443746i | \(-0.853649\pi\) |
0.347641 | + | 0.937628i | \(0.386983\pi\) | |||||||
\(224\) | −14.2471 | − | 3.02832i | −0.951927 | − | 0.202338i | ||||
\(225\) | 4.56754 | + | 2.03360i | 0.304503 | + | 0.135573i | ||||
\(226\) | −20.2897 | − | 27.9263i | −1.34965 | − | 1.85763i | ||||
\(227\) | 4.97257 | + | 4.47732i | 0.330041 | + | 0.297170i | 0.817445 | − | 0.576006i | \(-0.195390\pi\) |
−0.487404 | + | 0.873176i | \(0.662056\pi\) | |||||||
\(228\) | 2.19646 | + | 10.3335i | 0.145464 | + | 0.684355i | ||||
\(229\) | −9.84423 | + | 13.5494i | −0.650525 | + | 0.895371i | −0.999122 | − | 0.0419021i | \(-0.986658\pi\) |
0.348597 | + | 0.937273i | \(0.386658\pi\) | |||||||
\(230\) | −0.0275284 | − | 0.0476805i | −0.00181517 | − | 0.00314396i | ||||
\(231\) | 5.06013 | + | 4.41281i | 0.332932 | + | 0.290341i | ||||
\(232\) | 4.24335 | + | 2.44990i | 0.278590 | + | 0.160844i | ||||
\(233\) | −3.96056 | − | 2.87751i | −0.259465 | − | 0.188512i | 0.450446 | − | 0.892804i | \(-0.351265\pi\) |
−0.709911 | + | 0.704291i | \(0.751265\pi\) | |||||||
\(234\) | 5.54090 | − | 5.69620i | 0.362220 | − | 0.372372i | ||||
\(235\) | 0.0363042 | + | 0.111733i | 0.00236823 | + | 0.00728865i | ||||
\(236\) | −17.7412 | + | 1.86467i | −1.15485 | + | 0.121380i | ||||
\(237\) | −1.06545 | − | 10.1371i | −0.0692083 | − | 0.658473i | ||||
\(238\) | −14.1994 | + | 15.7700i | −0.920409 | + | 1.02222i | ||||
\(239\) | 11.7745 | + | 3.82575i | 0.761627 | + | 0.247467i | 0.663977 | − | 0.747753i | \(-0.268867\pi\) |
0.0976500 | + | 0.995221i | \(0.468867\pi\) | |||||||
\(240\) | 0.0221290 | + | 0.00232586i | 0.00142842 | + | 0.000150133i | ||||
\(241\) | −1.02568 | + | 0.592177i | −0.0660699 | + | 0.0381455i | −0.532671 | − | 0.846322i | \(-0.678812\pi\) |
0.466601 | + | 0.884468i | \(0.345478\pi\) | |||||||
\(242\) | 20.6006 | − | 12.7820i | 1.32426 | − | 0.821661i | ||||
\(243\) | 0.500000 | + | 0.866025i | 0.0320750 | + | 0.0555556i | ||||
\(244\) | 6.67237 | − | 2.97073i | 0.427155 | − | 0.190182i | ||||
\(245\) | 0.0309696 | − | 0.0278851i | 0.00197857 | − | 0.00178151i | ||||
\(246\) | 5.97846 | + | 18.3998i | 0.381173 | + | 1.17313i | ||||
\(247\) | −8.53102 | − | 10.2422i | −0.542816 | − | 0.651697i | ||||
\(248\) | −11.5948 | + | 8.42414i | −0.736273 | + | 0.534934i | ||||
\(249\) | −0.612237 | + | 2.88035i | −0.0387989 | + | 0.182535i | ||||
\(250\) | 0.211774 | + | 0.235199i | 0.0133938 | + | 0.0148753i | ||||
\(251\) | −1.93348 | + | 18.3958i | −0.122040 | + | 1.16113i | 0.746456 | + | 0.665435i | \(0.231754\pi\) |
−0.868495 | + | 0.495697i | \(0.834913\pi\) | |||||||
\(252\) | − | 5.78469i | − | 0.364401i | ||||||
\(253\) | −1.86971 | − | 5.45812i | −0.117548 | − | 0.343149i | ||||
\(254\) | −11.2836 | + | 6.51457i | −0.707993 | + | 0.408760i | ||||
\(255\) | 0.0401462 | − | 0.0552565i | 0.00251405 | − | 0.00346030i | ||||
\(256\) | 4.63997 | − | 0.986257i | 0.289998 | − | 0.0616411i | ||||
\(257\) | 14.0875 | + | 2.99439i | 0.878753 | + | 0.186785i | 0.625132 | − | 0.780519i | \(-0.285045\pi\) |
0.253621 | + | 0.967304i | \(0.418379\pi\) | |||||||
\(258\) | −8.91631 | + | 0.937142i | −0.555105 | + | 0.0583439i | ||||
\(259\) | 13.7321 | − | 9.97692i | 0.853268 | − | 0.619936i | ||||
\(260\) | 0.137381 | − | 0.0549259i | 0.00852004 | − | 0.00340636i | ||||
\(261\) | 0.801104 | − | 2.46555i | 0.0495871 | − | 0.152613i | ||||
\(262\) | −5.43503 | − | 12.2073i | −0.335777 | − | 0.754168i | ||||
\(263\) | −6.52888 | + | 11.3083i | −0.402588 | + | 0.697302i | −0.994037 | − | 0.109039i | \(-0.965223\pi\) |
0.591450 | + | 0.806342i | \(0.298556\pi\) | |||||||
\(264\) | −5.99175 | − | 1.84225i | −0.368767 | − | 0.113383i | ||||
\(265\) | 0.0903823i | 0.00555214i | ||||||||
\(266\) | −16.4043 | − | 1.72416i | −1.00581 | − | 0.105715i | ||||
\(267\) | −2.33538 | − | 10.9871i | −0.142923 | − | 0.672398i | ||||
\(268\) | −19.3833 | + | 6.29801i | −1.18402 | + | 0.384712i | ||||
\(269\) | 0.693792 | + | 0.308896i | 0.0423012 | + | 0.0188337i | 0.427778 | − | 0.903884i | \(-0.359296\pi\) |
−0.385477 | + | 0.922717i | \(0.625963\pi\) | |||||||
\(270\) | 0.00330830 | + | 0.0314764i | 0.000201337 | + | 0.00191559i | ||||
\(271\) | 3.30331 | − | 15.5409i | 0.200662 | − | 0.944040i | −0.756389 | − | 0.654122i | \(-0.773038\pi\) |
0.957051 | − | 0.289919i | \(-0.0936282\pi\) | |||||||
\(272\) | −2.27737 | + | 7.00903i | −0.138086 | + | 0.424985i | ||||
\(273\) | 3.40318 | + | 6.45694i | 0.205970 | + | 0.390792i | ||||
\(274\) | 35.2780 | 2.13122 | ||||||||
\(275\) | 8.51805 | + | 14.2274i | 0.513657 | + | 0.857947i | ||||
\(276\) | −2.48545 | + | 4.30492i | −0.149606 | + | 0.259126i | ||||
\(277\) | −2.93062 | + | 27.8830i | −0.176084 | + | 1.67532i | 0.448051 | + | 0.894008i | \(0.352118\pi\) |
−0.624135 | + | 0.781317i | \(0.714548\pi\) | |||||||
\(278\) | −2.29359 | − | 0.745231i | −0.137560 | − | 0.0446960i | ||||
\(279\) | 5.63519 | + | 5.07395i | 0.337370 | + | 0.303769i | ||||
\(280\) | 0.0223476 | − | 0.0501936i | 0.00133553 | − | 0.00299964i | ||||
\(281\) | −14.6466 | − | 20.1593i | −0.873743 | − | 1.20260i | −0.978115 | − | 0.208066i | \(-0.933283\pi\) |
0.104372 | − | 0.994538i | \(-0.466717\pi\) | |||||||
\(282\) | 12.0652 | − | 13.3997i | 0.718470 | − | 0.797941i | ||||
\(283\) | 5.74823 | + | 6.38406i | 0.341697 | + | 0.379493i | 0.889361 | − | 0.457205i | \(-0.151150\pi\) |
−0.547664 | + | 0.836698i | \(0.684483\pi\) | |||||||
\(284\) | 16.7487 | + | 37.6181i | 0.993850 | + | 2.23222i | ||||
\(285\) | 0.0530898 | 0.00314477 | ||||||||
\(286\) | 25.8975 | − | 4.89384i | 1.53135 | − | 0.289379i | ||||
\(287\) | −17.7698 | −1.04892 | ||||||||
\(288\) | −2.92652 | − | 6.57308i | −0.172447 | − | 0.387322i | ||||
\(289\) | 3.76179 | + | 4.17789i | 0.221282 | + | 0.245758i | ||||
\(290\) | 0.0549020 | − | 0.0609748i | 0.00322395 | − | 0.00358056i | ||||
\(291\) | 7.49371 | + | 10.3142i | 0.439289 | + | 0.604629i | ||||
\(292\) | −12.7440 | + | 28.6234i | −0.745785 | + | 1.67506i | ||||
\(293\) | 3.81359 | + | 3.43377i | 0.222792 | + | 0.200603i | 0.772966 | − | 0.634447i | \(-0.218772\pi\) |
−0.550174 | + | 0.835050i | \(0.685439\pi\) | |||||||
\(294\) | −6.08297 | − | 1.97648i | −0.354766 | − | 0.115270i | ||||
\(295\) | −0.00937065 | + | 0.0891557i | −0.000545580 | + | 0.00519085i | ||||
\(296\) | −7.92382 | + | 13.7245i | −0.460563 | + | 0.797718i | ||||
\(297\) | −0.294300 | + | 3.30354i | −0.0170770 | + | 0.191691i | ||||
\(298\) | 36.0936 | 2.09084 | ||||||||
\(299\) | 0.241668 | − | 6.26742i | 0.0139760 | − | 0.362454i | ||||
\(300\) | 4.41499 | − | 13.5879i | 0.254899 | − | 0.784499i | ||||
\(301\) | 1.71209 | − | 8.05473i | 0.0986830 | − | 0.464267i | ||||
\(302\) | 4.05527 | + | 38.5834i | 0.233355 | + | 2.22022i | ||||
\(303\) | 6.51146 | + | 2.89909i | 0.374074 | + | 0.166548i | ||||
\(304\) | −5.44807 | + | 1.77018i | −0.312468 | + | 0.101527i | ||||
\(305\) | −0.00763125 | − | 0.0359022i | −0.000436964 | − | 0.00205575i | ||||
\(306\) | −10.4253 | − | 1.09574i | −0.595974 | − | 0.0626394i | ||||
\(307\) | 10.3253i | 0.589299i | 0.955605 | + | 0.294649i | \(0.0952029\pi\) | ||||
−0.955605 | + | 0.294649i | \(0.904797\pi\) | |||||||
\(308\) | 11.0293 | − | 15.6985i | 0.628454 | − | 0.894505i | ||||
\(309\) | −6.78902 | + | 11.7589i | −0.386214 | + | 0.668942i | ||||
\(310\) | 0.0976155 | + | 0.219248i | 0.00554419 | + | 0.0124525i | ||||
\(311\) | −7.54042 | + | 23.2070i | −0.427578 | + | 1.31595i | 0.472927 | + | 0.881102i | \(0.343198\pi\) |
−0.900504 | + | 0.434847i | \(0.856802\pi\) | |||||||
\(312\) | −5.35474 | − | 4.21500i | −0.303152 | − | 0.238628i | ||||
\(313\) | 20.8180 | − | 15.1252i | 1.17670 | − | 0.854926i | 0.184908 | − | 0.982756i | \(-0.440801\pi\) |
0.991796 | + | 0.127830i | \(0.0408011\pi\) | |||||||
\(314\) | 8.88059 | − | 0.933387i | 0.501160 | − | 0.0526741i | ||||
\(315\) | −0.0284348 | − | 0.00604401i | −0.00160212 | − | 0.000340542i | ||||
\(316\) | −28.4903 | + | 6.05580i | −1.60270 | + | 0.340665i | ||||
\(317\) | −1.24420 | + | 1.71249i | −0.0698812 | + | 0.0961832i | −0.842527 | − | 0.538654i | \(-0.818933\pi\) |
0.772646 | + | 0.634837i | \(0.218933\pi\) | |||||||
\(318\) | 12.0133 | − | 6.93587i | 0.673671 | − | 0.388944i | ||||
\(319\) | 6.87495 | − | 5.16358i | 0.384923 | − | 0.289105i | ||||
\(320\) | − | 0.183222i | − | 0.0102424i | ||||||
\(321\) | −0.138375 | + | 1.31655i | −0.00772336 | + | 0.0734829i | ||||
\(322\) | −5.19332 | − | 5.76776i | −0.289412 | − | 0.321425i | ||||
\(323\) | −3.65589 | + | 17.1996i | −0.203419 | + | 0.957011i | ||||
\(324\) | 2.31181 | − | 1.67963i | 0.128434 | − | 0.0933128i | ||||
\(325\) | 3.06583 | + | 17.7644i | 0.170061 | + | 0.985392i | ||||
\(326\) | −4.43682 | − | 13.6551i | −0.245733 | − | 0.756287i | ||||
\(327\) | −5.81300 | + | 5.23405i | −0.321459 | + | 0.289443i | ||||
\(328\) | 15.1565 | − | 6.74813i | 0.836880 | − | 0.372603i | ||||
\(329\) | 8.28072 | + | 14.3426i | 0.456531 | + | 0.790735i | ||||
\(330\) | −0.0510361 | + | 0.0917284i | −0.00280945 | + | 0.00504948i | ||||
\(331\) | 28.4948 | − | 16.4515i | 1.56622 | − | 0.904257i | 0.569614 | − | 0.821912i | \(-0.307093\pi\) |
0.996604 | − | 0.0823445i | \(-0.0262408\pi\) | |||||||
\(332\) | 8.36854 | + | 0.879569i | 0.459283 | + | 0.0482726i | ||||
\(333\) | 7.97442 | + | 2.59105i | 0.436996 | + | 0.141988i | ||||
\(334\) | −28.1815 | + | 31.2987i | −1.54202 | + | 1.71259i | ||||
\(335\) | 0.0107059 | + | 0.101860i | 0.000584925 | + | 0.00556519i | ||||
\(336\) | 3.11951 | − | 0.327873i | 0.170183 | − | 0.0178870i | ||||
\(337\) | 0.561712 | + | 1.72877i | 0.0305984 | + | 0.0941722i | 0.965189 | − | 0.261552i | \(-0.0842343\pi\) |
−0.934591 | + | 0.355724i | \(0.884234\pi\) | |||||||
\(338\) | 28.1796 | + | 5.18027i | 1.53277 | + | 0.281770i | ||||
\(339\) | 12.6708 | + | 9.20589i | 0.688184 | + | 0.499995i | ||||
\(340\) | −0.169025 | − | 0.0975868i | −0.00916668 | − | 0.00529239i | ||||
\(341\) | 5.61858 | + | 24.5140i | 0.304263 | + | 1.32751i | ||||
\(342\) | −4.07407 | − | 7.05649i | −0.220300 | − | 0.381571i | ||||
\(343\) | 11.7822 | − | 16.2168i | 0.636181 | − | 0.875627i | ||||
\(344\) | 1.59850 | + | 7.52035i | 0.0861853 | + | 0.405470i | ||||
\(345\) | 0.0185641 | + | 0.0167152i | 0.000999460 | + | 0.000899918i | ||||
\(346\) | 1.23561 | + | 1.70068i | 0.0664270 | + | 0.0914289i | ||||
\(347\) | −3.44014 | − | 1.53165i | −0.184677 | − | 0.0822233i | 0.312315 | − | 0.949979i | \(-0.398895\pi\) |
−0.496992 | + | 0.867755i | \(0.665562\pi\) | |||||||
\(348\) | −7.24613 | − | 1.54021i | −0.388433 | − | 0.0825640i | ||||
\(349\) | 6.33369 | − | 5.70288i | 0.339035 | − | 0.305268i | −0.481972 | − | 0.876187i | \(-0.660079\pi\) |
0.821007 | + | 0.570918i | \(0.193413\pi\) | |||||||
\(350\) | 18.0469 | + | 13.1119i | 0.964650 | + | 0.700859i | ||||
\(351\) | −1.59233 | + | 3.23488i | −0.0849926 | + | 0.172665i | ||||
\(352\) | 4.59050 | − | 23.4178i | 0.244675 | − | 1.24818i | ||||
\(353\) | −27.1451 | − | 15.6722i | −1.44479 | − | 0.834147i | −0.446622 | − | 0.894723i | \(-0.647373\pi\) |
−0.998164 | + | 0.0605755i | \(0.980706\pi\) | |||||||
\(354\) | 12.5693 | − | 5.59623i | 0.668053 | − | 0.297436i | ||||
\(355\) | 0.202413 | − | 0.0430241i | 0.0107429 | − | 0.00228348i | ||||
\(356\) | −30.5266 | + | 9.91871i | −1.61791 | + | 0.525690i | ||||
\(357\) | 3.91618 | − | 8.79589i | 0.207266 | − | 0.465528i | ||||
\(358\) | −1.80094 | + | 4.04498i | −0.0951826 | + | 0.213784i | ||||
\(359\) | 10.3949 | − | 3.37750i | 0.548621 | − | 0.178258i | −0.0215740 | − | 0.999767i | \(-0.506868\pi\) |
0.570195 | + | 0.821510i | \(0.306868\pi\) | |||||||
\(360\) | 0.0265484 | − | 0.00564303i | 0.00139922 | − | 0.000297414i | ||||
\(361\) | 4.87120 | − | 2.16880i | 0.256379 | − | 0.114147i | ||||
\(362\) | −23.9623 | − | 13.8346i | −1.25943 | − | 0.727132i | ||||
\(363\) | −7.09734 | + | 8.40403i | −0.372514 | + | 0.441097i | ||||
\(364\) | 17.3335 | − | 11.6002i | 0.908522 | − | 0.608014i | ||||
\(365\) | 0.127384 | + | 0.0925501i | 0.00666760 | + | 0.00484429i | ||||
\(366\) | −4.18637 | + | 3.76943i | −0.218825 | + | 0.197031i | ||||
\(367\) | 4.05350 | + | 0.861599i | 0.211591 | + | 0.0449751i | 0.312488 | − | 0.949922i | \(-0.398838\pi\) |
−0.100896 | + | 0.994897i | \(0.532171\pi\) | |||||||
\(368\) | −2.46239 | − | 1.09633i | −0.128361 | − | 0.0571500i | ||||
\(369\) | −5.15961 | − | 7.10159i | −0.268599 | − | 0.369694i | ||||
\(370\) | 0.197213 | + | 0.177572i | 0.0102526 | + | 0.00923152i | ||||
\(371\) | 2.64902 | + | 12.4627i | 0.137530 | + | 0.647030i | ||||
\(372\) | 12.7365 | − | 17.5302i | 0.660355 | − | 0.908900i | ||||
\(373\) | 0.594382 | + | 1.02950i | 0.0307759 | + | 0.0533055i | 0.881003 | − | 0.473110i | \(-0.156869\pi\) |
−0.850227 | + | 0.526416i | \(0.823536\pi\) | |||||||
\(374\) | −26.2030 | − | 22.8509i | −1.35492 | − | 1.18159i | ||||
\(375\) | −0.124361 | − | 0.0717997i | −0.00642196 | − | 0.00370772i | ||||
\(376\) | −12.5096 | − | 9.08874i | −0.645132 | − | 0.468716i | ||||
\(377\) | 8.99434 | − | 2.54375i | 0.463232 | − | 0.131010i | ||||
\(378\) | 1.37872 | + | 4.24327i | 0.0709137 | + | 0.218250i | ||||
\(379\) | 2.14468 | − | 0.225414i | 0.110165 | − | 0.0115788i | −0.0492857 | − | 0.998785i | \(-0.515694\pi\) |
0.159450 | + | 0.987206i | \(0.449028\pi\) | |||||||
\(380\) | −0.0158577 | − | 0.150876i | −0.000813483 | − | 0.00773977i | ||||
\(381\) | 3.95565 | − | 4.39319i | 0.202654 | − | 0.225070i | ||||
\(382\) | −19.1622 | − | 6.22619i | −0.980425 | − | 0.318559i | ||||
\(383\) | −20.5391 | − | 2.15875i | −1.04950 | − | 0.110307i | −0.435956 | − | 0.899968i | \(-0.643590\pi\) |
−0.613543 | + | 0.789661i | \(0.710256\pi\) | |||||||
\(384\) | −11.8909 | + | 6.86520i | −0.606804 | + | 0.350338i | ||||
\(385\) | −0.0656427 | − | 0.0706173i | −0.00334546 | − | 0.00359899i | ||||
\(386\) | −22.6169 | − | 39.1737i | −1.15117 | − | 1.99389i | ||||
\(387\) | 3.71614 | − | 1.65453i | 0.188902 | − | 0.0841046i | ||||
\(388\) | 27.0736 | − | 24.3772i | 1.37445 | − | 1.23756i | ||||
\(389\) | −5.93635 | − | 18.2702i | −0.300985 | − | 0.926336i | −0.981145 | − | 0.193273i | \(-0.938090\pi\) |
0.680160 | − | 0.733064i | \(-0.261910\pi\) | |||||||
\(390\) | −0.0876830 | + | 0.0730335i | −0.00444000 | + | 0.00369819i | ||||
\(391\) | −6.69364 | + | 4.86321i | −0.338512 | + | 0.245943i | ||||
\(392\) | −1.14038 | + | 5.36508i | −0.0575981 | + | 0.270978i | ||||
\(393\) | 4.05687 | + | 4.50561i | 0.204642 | + | 0.227278i | ||||
\(394\) | 3.07412 | − | 29.2483i | 0.154872 | − | 1.47351i | ||||
\(395\) | 0.146372i | 0.00736479i | ||||||||
\(396\) | 9.47625 | − | 0.150383i | 0.476200 | − | 0.00755702i | ||||
\(397\) | −29.7721 | + | 17.1889i | −1.49422 | + | 0.862686i | −0.999978 | − | 0.00663971i | \(-0.997886\pi\) |
−0.494239 | + | 0.869326i | \(0.664553\pi\) | |||||||
\(398\) | −1.96514 | + | 2.70478i | −0.0985035 | + | 0.135578i | ||||
\(399\) | 7.32047 | − | 1.55601i | 0.366482 | − | 0.0778981i | ||||
\(400\) | 7.57780 | + | 1.61071i | 0.378890 | + | 0.0805356i | ||||
\(401\) | 20.7007 | − | 2.17573i | 1.03375 | − | 0.108651i | 0.427570 | − | 0.903982i | \(-0.359370\pi\) |
0.606175 | + | 0.795331i | \(0.292703\pi\) | |||||||
\(402\) | 12.7172 | − | 9.23962i | 0.634278 | − | 0.460830i | ||||
\(403\) | −3.90342 | + | 27.0604i | −0.194443 | + | 1.34798i | ||||
\(404\) | 6.29398 | − | 19.3709i | 0.313137 | − | 0.963738i | ||||
\(405\) | −0.00584083 | − | 0.0131187i | −0.000290233 | − | 0.000651875i | ||||
\(406\) | 5.78323 | − | 10.0169i | 0.287017 | − | 0.497128i | ||||
\(407\) | 16.7008 | + | 22.2360i | 0.827828 | + | 1.10220i | ||||
\(408\) | 8.98952i | 0.445048i | ||||||||
\(409\) | −11.0578 | − | 1.16223i | −0.546775 | − | 0.0574684i | −0.172886 | − | 0.984942i | \(-0.555309\pi\) |
−0.373889 | + | 0.927473i | \(0.621976\pi\) | |||||||
\(410\) | −0.0577627 | − | 0.271752i | −0.00285270 | − | 0.0134209i | ||||
\(411\) | −15.2230 | + | 4.94627i | −0.750897 | + | 0.243981i | ||||
\(412\) | 35.4456 | + | 15.7814i | 1.74628 | + | 0.777494i | ||||
\(413\) | 1.32097 | + | 12.5682i | 0.0650007 | + | 0.618441i | ||||
\(414\) | 0.797128 | − | 3.75019i | 0.0391767 | − | 0.184312i | ||||
\(415\) | 0.0130672 | − | 0.0402169i | 0.000641446 | − | 0.00197417i | ||||
\(416\) | 13.8272 | − | 21.9503i | 0.677936 | − | 1.07620i | ||||
\(417\) | 1.09421 | 0.0535836 | ||||||||
\(418\) | 2.39800 | − | 26.9177i | 0.117290 | − | 1.31659i | ||||
\(419\) | −7.61072 | + | 13.1822i | −0.371808 | + | 0.643990i | −0.989844 | − | 0.142160i | \(-0.954595\pi\) |
0.618036 | + | 0.786150i | \(0.287929\pi\) | |||||||
\(420\) | −0.00868312 | + | 0.0826144i | −0.000423693 | + | 0.00403117i | ||||
\(421\) | 34.1656 | + | 11.1011i | 1.66513 | + | 0.541033i | 0.981937 | − | 0.189206i | \(-0.0605913\pi\) |
0.683192 | + | 0.730239i | \(0.260591\pi\) | |||||||
\(422\) | 37.4317 | + | 33.7037i | 1.82215 | + | 1.64067i | ||||
\(423\) | −3.32756 | + | 7.47383i | −0.161792 | + | 0.363390i | ||||
\(424\) | −6.99218 | − | 9.62390i | −0.339570 | − | 0.467378i | ||||
\(425\) | 15.9121 | − | 17.6722i | 0.771850 | − | 0.857227i | ||||
\(426\) | −21.2516 | − | 23.6023i | −1.02964 | − | 1.14353i | ||||
\(427\) | −2.10452 | − | 4.72684i | −0.101845 | − | 0.228748i | ||||
\(428\) | 3.78285 | 0.182851 | ||||||||
\(429\) | −10.4890 | + | 5.74282i | −0.506416 | + | 0.277266i | ||||
\(430\) | 0.128745 | 0.00620866 | ||||||||
\(431\) | −14.4740 | − | 32.5092i | −0.697190 | − | 1.56592i | −0.819279 | − | 0.573396i | \(-0.805626\pi\) |
0.122088 | − | 0.992519i | \(-0.461041\pi\) | |||||||
\(432\) | 1.03681 | + | 1.15149i | 0.0498834 | + | 0.0554011i | ||||
\(433\) | 20.4936 | − | 22.7605i | 0.984860 | − | 1.09380i | −0.0107255 | − | 0.999942i | \(-0.503414\pi\) |
0.995586 | − | 0.0938557i | \(-0.0299192\pi\) | |||||||
\(434\) | 19.8860 | + | 27.3708i | 0.954560 | + | 1.31384i | ||||
\(435\) | −0.0151419 | + | 0.0340093i | −0.000726000 | + | 0.00163062i | ||||
\(436\) | 16.6110 | + | 14.9566i | 0.795521 | + | 0.716290i | ||||
\(437\) | −6.11640 | − | 1.98734i | −0.292587 | − | 0.0950673i | ||||
\(438\) | 2.52604 | − | 24.0337i | 0.120699 | − | 1.14837i | ||||
\(439\) | −0.997592 | + | 1.72788i | −0.0476125 | + | 0.0824672i | −0.888849 | − | 0.458199i | \(-0.848495\pi\) |
0.841237 | + | 0.540667i | \(0.181828\pi\) | |||||||
\(440\) | 0.0828062 | + | 0.0353042i | 0.00394763 | + | 0.00168306i | ||||
\(441\) | 2.90202 | 0.138191 | ||||||||
\(442\) | −17.6227 | − | 33.4361i | −0.838228 | − | 1.59039i | ||||
\(443\) | 4.60428 | − | 14.1705i | 0.218756 | − | 0.673261i | −0.780110 | − | 0.625643i | \(-0.784837\pi\) |
0.998866 | − | 0.0476185i | \(-0.0151632\pi\) | |||||||
\(444\) | 4.98157 | − | 23.4365i | 0.236415 | − | 1.11225i | ||||
\(445\) | 0.0168606 | + | 0.160418i | 0.000799271 | + | 0.00760455i | ||||
\(446\) | −22.1924 | − | 9.88068i | −1.05084 | − | 0.467864i | ||||
\(447\) | −15.5750 | + | 5.06061i | −0.736671 | + | 0.239359i | ||||
\(448\) | −5.37008 | − | 25.2642i | −0.253712 | − | 1.19362i | ||||
\(449\) | −20.0032 | − | 2.10242i | −0.944010 | − | 0.0992195i | −0.379999 | − | 0.924987i | \(-0.624076\pi\) |
−0.564011 | + | 0.825767i | \(0.690742\pi\) | |||||||
\(450\) | 11.0195i | 0.519463i | ||||||||
\(451\) | −0.461957 | − | 29.1098i | −0.0217527 | − | 1.37073i | ||||
\(452\) | 22.3775 | − | 38.7590i | 1.05255 | − | 1.82307i | ||||
\(453\) | −7.15962 | − | 16.0808i | −0.336388 | − | 0.755541i | ||||
\(454\) | −4.55721 | + | 14.0256i | −0.213880 | + | 0.658256i | ||||
\(455\) | −0.0389105 | − | 0.0973236i | −0.00182415 | − | 0.00456260i | ||||
\(456\) | −5.65300 | + | 4.10714i | −0.264726 | + | 0.192335i | ||||
\(457\) | −32.9115 | + | 3.45913i | −1.53953 | + | 0.161811i | −0.835952 | − | 0.548803i | \(-0.815084\pi\) |
−0.703582 | + | 0.710614i | \(0.748417\pi\) | |||||||
\(458\) | −36.1057 | − | 7.67451i | −1.68711 | − | 0.358606i | ||||
\(459\) | 4.65231 | − | 0.988880i | 0.217151 | − | 0.0461570i | ||||
\(460\) | 0.0419580 | − | 0.0577503i | 0.00195630 | − | 0.00269262i | ||||
\(461\) | 2.39488 | − | 1.38269i | 0.111541 | − | 0.0643981i | −0.443192 | − | 0.896427i | \(-0.646154\pi\) |
0.554733 | + | 0.832029i | \(0.312821\pi\) | |||||||
\(462\) | −4.34882 | + | 14.1441i | −0.202325 | + | 0.658043i | ||||
\(463\) | 23.8474i | 1.10828i | 0.832422 | + | 0.554142i | \(0.186953\pi\) | ||||
−0.832422 | + | 0.554142i | \(0.813047\pi\) | |||||||
\(464\) | 0.419883 | − | 3.99492i | 0.0194926 | − | 0.185459i | ||||
\(465\) | −0.0728631 | − | 0.0809227i | −0.00337894 | − | 0.00375270i | ||||
\(466\) | 2.24330 | − | 10.5539i | 0.103919 | − | 0.488899i | ||||
\(467\) | −32.2189 | + | 23.4084i | −1.49091 | + | 1.08321i | −0.517082 | + | 0.855936i | \(0.672982\pi\) |
−0.973831 | + | 0.227275i | \(0.927018\pi\) | |||||||
\(468\) | 9.66885 | + | 3.55901i | 0.446943 | + | 0.164516i | ||||
\(469\) | 4.46163 | + | 13.7315i | 0.206019 | + | 0.634061i | ||||
\(470\) | −0.192423 | + | 0.173258i | −0.00887581 | + | 0.00799182i | ||||
\(471\) | −3.70125 | + | 1.64790i | −0.170545 | + | 0.0759314i | ||||
\(472\) | −5.89950 | − | 10.2182i | −0.271547 | − | 0.470333i | ||||
\(473\) | 13.2395 | + | 2.59528i | 0.608751 | + | 0.119331i | ||||
\(474\) | 19.4553 | − | 11.2325i | 0.893610 | − | 0.515926i | ||||
\(475\) | 18.3830 | + | 1.93213i | 0.843469 | + | 0.0886521i | ||||
\(476\) | −26.1668 | − | 8.50211i | −1.19935 | − | 0.389694i | ||||
\(477\) | −4.21146 | + | 4.67730i | −0.192830 | + | 0.214159i | ||||
\(478\) | 2.85219 | + | 27.1368i | 0.130456 | + | 1.24121i | ||||
\(479\) | 15.9660 | − | 1.67809i | 0.729505 | − | 0.0766740i | 0.267508 | − | 0.963556i | \(-0.413800\pi\) |
0.461997 | + | 0.886882i | \(0.347133\pi\) | |||||||
\(480\) | 0.0319288 | + | 0.0982667i | 0.00145734 | + | 0.00448524i | ||||
\(481\) | 8.22737 | + | 29.0908i | 0.375136 | + | 1.32643i | ||||
\(482\) | −2.11178 | − | 1.53430i | −0.0961889 | − | 0.0698853i | ||||
\(483\) | 3.04969 | + | 1.76074i | 0.138766 | + | 0.0801164i | ||||
\(484\) | 26.0034 | + | 17.6597i | 1.18197 | + | 0.802714i | ||||
\(485\) | −0.0915397 | − | 0.158551i | −0.00415660 | − | 0.00719945i | ||||
\(486\) | −1.29547 | + | 1.78306i | −0.0587637 | + | 0.0808814i | ||||
\(487\) | −0.217985 | − | 1.02554i | −0.00987783 | − | 0.0464716i | 0.972933 | − | 0.231089i | \(-0.0742288\pi\) |
−0.982810 | + | 0.184617i | \(0.940895\pi\) | |||||||
\(488\) | 3.59005 | + | 3.23250i | 0.162514 | + | 0.146328i | ||||
\(489\) | 3.82912 | + | 5.27033i | 0.173159 | + | 0.238333i | ||||
\(490\) | 0.0839075 | + | 0.0373580i | 0.00379055 | + | 0.00168766i | ||||
\(491\) | −14.2086 | − | 3.02013i | −0.641226 | − | 0.136297i | −0.124187 | − | 0.992259i | \(-0.539632\pi\) |
−0.517039 | + | 0.855962i | \(0.672966\pi\) | |||||||
\(492\) | −18.6409 | + | 16.7843i | −0.840396 | + | 0.756696i | ||||
\(493\) | −9.97537 | − | 7.24753i | −0.449268 | − | 0.326412i | ||||
\(494\) | 12.9746 | − | 26.3583i | 0.583753 | − | 1.18591i | ||||
\(495\) | 0.00916185 | − | 0.0467380i | 0.000411795 | − | 0.00210072i | ||||
\(496\) | 10.1754 | + | 5.87478i | 0.456890 | + | 0.263786i | ||||
\(497\) | 26.6494 | − | 11.8651i | 1.19539 | − | 0.532221i | ||||
\(498\) | −6.34824 | + | 1.34936i | −0.284472 | + | 0.0604663i | ||||
\(499\) | −32.4312 | + | 10.5375i | −1.45182 | + | 0.471725i | −0.925561 | − | 0.378598i | \(-0.876406\pi\) |
−0.526260 | + | 0.850323i | \(0.676406\pi\) | |||||||
\(500\) | −0.166902 | + | 0.374867i | −0.00746407 | + | 0.0167646i | ||||
\(501\) | 7.77244 | − | 17.4572i | 0.347247 | − | 0.779929i | ||||
\(502\) | −38.7721 | + | 12.5978i | −1.73048 | + | 0.562268i | ||||
\(503\) | 15.2891 | − | 3.24980i | 0.681708 | − | 0.144902i | 0.145974 | − | 0.989288i | \(-0.453368\pi\) |
0.535734 | + | 0.844387i | \(0.320035\pi\) | |||||||
\(504\) | 3.49532 | − | 1.55622i | 0.155694 | − | 0.0693194i | ||||
\(505\) | −0.0886422 | − | 0.0511776i | −0.00394452 | − | 0.00227737i | ||||
\(506\) | 9.31352 | − | 8.65743i | 0.414036 | − | 0.384870i | ||||
\(507\) | −12.8863 | + | 1.71564i | −0.572300 | + | 0.0761944i | ||||
\(508\) | −13.6666 | − | 9.92933i | −0.606355 | − | 0.440543i | ||||
\(509\) | 23.8359 | − | 21.4620i | 1.05651 | − | 0.951286i | 0.0576173 | − | 0.998339i | \(-0.481650\pi\) |
0.998892 | + | 0.0470532i | \(0.0149830\pi\) | |||||||
\(510\) | 0.147245 | + | 0.0312978i | 0.00652010 | + | 0.00138589i | ||||
\(511\) | 20.2774 | + | 9.02807i | 0.897019 | + | 0.399378i | ||||
\(512\) | −9.99582 | − | 13.7581i | −0.441757 | − | 0.608026i | ||||
\(513\) | 2.74741 | + | 2.47378i | 0.121301 | + | 0.109220i | ||||
\(514\) | 6.59959 | + | 31.0486i | 0.291095 | + | 1.36950i | ||||
\(515\) | 0.114609 | − | 0.157745i | 0.00505026 | − | 0.00695109i | ||||
\(516\) | −5.81201 | − | 10.0667i | −0.255860 | − | 0.443162i | ||||
\(517\) | −23.2803 | + | 13.9380i | −1.02387 | + | 0.612993i | ||||
\(518\) | 32.3979 | + | 18.7050i | 1.42348 | + | 0.821849i | ||||
\(519\) | −0.771637 | − | 0.560627i | −0.0338711 | − | 0.0246088i | ||||
\(520\) | 0.0701471 | + | 0.0682346i | 0.00307615 | + | 0.00299228i | ||||
\(521\) | −4.93101 | − | 15.1761i | −0.216031 | − | 0.664876i | −0.999079 | − | 0.0429141i | \(-0.986336\pi\) |
0.783047 | − | 0.621962i | \(-0.213664\pi\) | |||||||
\(522\) | 5.68238 | − | 0.597242i | 0.248711 | − | 0.0261406i | ||||
\(523\) | −0.389192 | − | 3.70291i | −0.0170182 | − | 0.161917i | 0.982712 | − | 0.185140i | \(-0.0592739\pi\) |
−0.999730 | + | 0.0232230i | \(0.992607\pi\) | |||||||
\(524\) | 11.5927 | − | 12.8750i | 0.506431 | − | 0.562448i | ||||
\(525\) | −9.62595 | − | 3.12766i | −0.420111 | − | 0.136502i | ||||
\(526\) | −28.6215 | − | 3.00824i | −1.24795 | − | 0.131165i | ||||
\(527\) | 31.2342 | − | 18.0331i | 1.36058 | − | 0.785533i | ||||
\(528\) | 0.618207 | + | 5.10173i | 0.0269040 | + | 0.222024i | ||||
\(529\) | 9.98696 | + | 17.2979i | 0.434216 | + | 0.752084i | ||||
\(530\) | −0.181979 | + | 0.0810225i | −0.00790468 | + | 0.00351939i | ||||
\(531\) | −4.63924 | + | 4.17719i | −0.201326 | + | 0.181275i | ||||
\(532\) | −6.60863 | − | 20.3393i | −0.286521 | − | 0.881820i | ||||
\(533\) | 10.9328 | − | 29.7015i | 0.473554 | − | 1.28651i | ||||
\(534\) | 20.0283 | − | 14.5514i | 0.866710 | − | 0.629702i | ||||
\(535\) | 0.00395243 | − | 0.0185947i | 0.000170879 | − | 0.000803920i | ||||
\(536\) | −9.02005 | − | 10.0178i | −0.389607 | − | 0.432702i | ||||
\(537\) | 0.209996 | − | 1.99798i | 0.00906200 | − | 0.0862192i | ||||
\(538\) | 1.67382i | 0.0721634i | ||||||||
\(539\) | 7.87550 | + | 5.53311i | 0.339222 | + | 0.238328i | ||||
\(540\) | −0.0355375 | + | 0.0205176i | −0.00152929 | + | 0.000882936i | ||||
\(541\) | 16.3994 | − | 22.5719i | 0.705067 | − | 0.970441i | −0.294822 | − | 0.955552i | \(-0.595260\pi\) |
0.999889 | − | 0.0148892i | \(-0.00473955\pi\) | |||||||
\(542\) | 34.2519 | − | 7.28046i | 1.47124 | − | 0.312722i | ||||
\(543\) | 12.2798 | + | 2.61016i | 0.526979 | + | 0.112013i | ||||
\(544\) | −34.0343 | + | 3.57715i | −1.45921 | + | 0.153369i | ||||
\(545\) | 0.0908753 | − | 0.0660247i | 0.00389267 | − | 0.00282819i | ||||
\(546\) | −9.94993 | + | 12.6404i | −0.425818 | + | 0.540958i | ||||
\(547\) | 1.73077 | − | 5.32677i | 0.0740025 | − | 0.227756i | −0.907213 | − | 0.420672i | \(-0.861794\pi\) |
0.981215 | + | 0.192916i | \(0.0617944\pi\) | |||||||
\(548\) | 18.6039 | + | 41.7850i | 0.794718 | + | 1.78497i | ||||
\(549\) | 1.27798 | − | 2.21353i | 0.0545430 | − | 0.0944713i | ||||
\(550\) | −21.0102 | + | 29.9047i | −0.895878 | + | 1.27514i | ||||
\(551\) | − | 9.58420i | − | 0.408301i | ||||||
\(552\) | −3.26984 | − | 0.343674i | −0.139174 | − | 0.0146277i | ||||
\(553\) | 4.29004 | + | 20.1831i | 0.182431 | + | 0.858271i | ||||
\(554\) | −58.7678 | + | 19.0948i | −2.49681 | + | 0.811262i | ||||
\(555\) | −0.109998 | − | 0.0489742i | −0.00466915 | − | 0.00207884i | ||||
\(556\) | −0.326835 | − | 3.10963i | −0.0138609 | − | 0.131878i | ||||
\(557\) | −5.80660 | + | 27.3179i | −0.246033 | + | 1.15750i | 0.665541 | + | 0.746361i | \(0.268201\pi\) |
−0.911574 | + | 0.411135i | \(0.865132\pi\) | |||||||
\(558\) | −5.16448 | + | 15.8946i | −0.218630 | + | 0.672874i | ||||
\(559\) | 12.4098 | + | 7.81733i | 0.524877 | + | 0.330638i | ||||
\(560\) | −0.0450436 | −0.00190344 | ||||||||
\(561\) | 14.5109 | + | 6.18667i | 0.612650 | + | 0.261202i | ||||
\(562\) | 27.4598 | − | 47.5618i | 1.15832 | − | 2.00627i | ||||
\(563\) | 1.92630 | − | 18.3276i | 0.0811840 | − | 0.772414i | −0.875878 | − | 0.482532i | \(-0.839717\pi\) |
0.957062 | − | 0.289882i | \(-0.0936162\pi\) | |||||||
\(564\) | 22.2338 | + | 7.22421i | 0.936213 | + | 0.304194i | ||||
\(565\) | −0.167141 | − | 0.150494i | −0.00703166 | − | 0.00633133i | ||||
\(566\) | −7.70098 | + | 17.2967i | −0.323696 | + | 0.727034i | ||||
\(567\) | −1.18988 | − | 1.63773i | −0.0499703 | − | 0.0687783i | ||||
\(568\) | −18.2245 | + | 20.2403i | −0.764681 | + | 0.849264i | ||||
\(569\) | −17.1629 | − | 19.0614i | −0.719507 | − | 0.799094i | 0.266845 | − | 0.963739i | \(-0.414019\pi\) |
−0.986353 | + | 0.164645i | \(0.947352\pi\) | |||||||
\(570\) | 0.0475919 | + | 0.106893i | 0.00199341 | + | 0.00447726i | ||||
\(571\) | −19.7991 | −0.828568 | −0.414284 | − | 0.910148i | \(-0.635968\pi\) | ||||
−0.414284 | + | 0.910148i | \(0.635968\pi\) | |||||||
\(572\) | 19.4536 | + | 28.0935i | 0.813394 | + | 1.17465i | ||||
\(573\) | 9.14178 | 0.381903 | ||||||||
\(574\) | −15.9296 | − | 35.7785i | −0.664890 | − | 1.49337i | ||||
\(575\) | 5.81973 | + | 6.46347i | 0.242700 | + | 0.269545i | ||||
\(576\) | 8.53744 | − | 9.48178i | 0.355726 | − | 0.395074i | ||||
\(577\) | −5.63402 | − | 7.75456i | −0.234547 | − | 0.322827i | 0.675477 | − | 0.737381i | \(-0.263938\pi\) |
−0.910025 | + | 0.414554i | \(0.863938\pi\) | |||||||
\(578\) | −5.03972 | + | 11.3194i | −0.209625 | + | 0.470824i | ||||
\(579\) | 15.2520 | + | 13.7330i | 0.633853 | + | 0.570724i | ||||
\(580\) | 0.101174 | + | 0.0328735i | 0.00420102 | + | 0.00136500i | ||||
\(581\) | 0.623103 | − | 5.92843i | 0.0258507 | − | 0.245953i | ||||
\(582\) | −14.0494 | + | 24.3342i | −0.582365 | + | 1.00869i | ||||
\(583\) | −20.3470 | + | 4.66352i | −0.842687 | + | 0.193143i | ||||
\(584\) | −20.7238 | −0.857555 | ||||||||
\(585\) | 0.0275968 | − | 0.0438090i | 0.00114099 | − | 0.00181128i | ||||
\(586\) | −3.49503 | + | 10.7566i | −0.144379 | + | 0.444351i | ||||
\(587\) | −4.30019 | + | 20.2308i | −0.177488 | + | 0.835015i | 0.795824 | + | 0.605528i | \(0.207038\pi\) |
−0.973312 | + | 0.229487i | \(0.926295\pi\) | |||||||
\(588\) | −0.866821 | − | 8.24725i | −0.0357471 | − | 0.340111i | ||||
\(589\) | 25.6103 | + | 11.4024i | 1.05525 | + | 0.469829i | ||||
\(590\) | −0.187910 | + | 0.0610557i | −0.00773614 | + | 0.00251362i | ||||
\(591\) | 2.77432 | + | 13.0521i | 0.114120 | + | 0.536893i | ||||
\(592\) | 12.9209 | + | 1.35804i | 0.531047 | + | 0.0558153i | ||||
\(593\) | 18.1407i | 0.744950i | 0.928042 | + | 0.372475i | \(0.121491\pi\) | ||||
−0.928042 | + | 0.372475i | \(0.878509\pi\) | |||||||
\(594\) | −6.91531 | + | 2.36888i | −0.283739 | + | 0.0971962i | ||||
\(595\) | −0.0691323 | + | 0.119741i | −0.00283415 | + | 0.00490889i | ||||
\(596\) | 19.0339 | + | 42.7509i | 0.779661 | + | 1.75115i | ||||
\(597\) | 0.468757 | − | 1.44269i | 0.0191850 | − | 0.0590452i | ||||
\(598\) | 12.8357 | − | 5.13180i | 0.524892 | − | 0.209855i | ||||
\(599\) | 28.8557 | − | 20.9649i | 1.17901 | − | 0.856603i | 0.186953 | − | 0.982369i | \(-0.440139\pi\) |
0.992060 | + | 0.125766i | \(0.0401389\pi\) | |||||||
\(600\) | 9.39806 | − | 0.987776i | 0.383674 | − | 0.0403258i | ||||
\(601\) | 7.42090 | + | 1.57736i | 0.302705 | + | 0.0643419i | 0.356760 | − | 0.934196i | \(-0.383881\pi\) |
−0.0540552 | + | 0.998538i | \(0.517215\pi\) | |||||||
\(602\) | 17.7525 | − | 3.77341i | 0.723539 | − | 0.153793i | ||||
\(603\) | −4.19223 | + | 5.77011i | −0.170721 | + | 0.234977i | ||||
\(604\) | −43.5614 | + | 25.1502i | −1.77249 | + | 1.02335i | ||||
\(605\) | 0.113976 | − | 0.109369i | 0.00463379 | − | 0.00444649i | ||||
\(606\) | 15.7093i | 0.638147i | ||||||||
\(607\) | −2.91714 | + | 27.7548i | −0.118403 | + | 1.12653i | 0.760436 | + | 0.649413i | \(0.224985\pi\) |
−0.878839 | + | 0.477118i | \(0.841681\pi\) | |||||||
\(608\) | −17.7991 | − | 19.7679i | −0.721850 | − | 0.801696i | ||||
\(609\) | −1.09112 | + | 5.13329i | −0.0442142 | + | 0.208012i | ||||
\(610\) | 0.0654460 | − | 0.0475493i | 0.00264983 | − | 0.00192522i | ||||
\(611\) | −29.0678 | + | 5.01659i | −1.17596 | + | 0.202950i | ||||
\(612\) | −4.19993 | − | 12.9261i | −0.169772 | − | 0.522505i | ||||
\(613\) | −20.5475 | + | 18.5010i | −0.829905 | + | 0.747250i | −0.970056 | − | 0.242880i | \(-0.921908\pi\) |
0.140151 | + | 0.990130i | \(0.455241\pi\) | |||||||
\(614\) | −20.7895 | + | 9.25608i | −0.838995 | + | 0.373545i | ||||
\(615\) | 0.0630274 | + | 0.109167i | 0.00254151 | + | 0.00440203i | ||||
\(616\) | 12.4528 | + | 2.44106i | 0.501736 | + | 0.0983532i | ||||
\(617\) | −9.86205 | + | 5.69386i | −0.397031 | + | 0.229226i | −0.685202 | − | 0.728353i | \(-0.740286\pi\) |
0.288171 | + | 0.957579i | \(0.406953\pi\) | |||||||
\(618\) | −29.7619 | − | 3.12810i | −1.19720 | − | 0.125831i | ||||
\(619\) | −22.0243 | − | 7.15614i | −0.885233 | − | 0.287630i | −0.169105 | − | 0.985598i | \(-0.554088\pi\) |
−0.716128 | + | 0.697968i | \(0.754088\pi\) | |||||||
\(620\) | −0.208210 | + | 0.231241i | −0.00836193 | + | 0.00928687i | ||||
\(621\) | 0.181834 | + | 1.73003i | 0.00729674 | + | 0.0694238i | ||||
\(622\) | −53.4855 | + | 5.62155i | −2.14457 | + | 0.225404i | ||||
\(623\) | 7.02660 | + | 21.6256i | 0.281515 | + | 0.866413i | ||||
\(624\) | −1.37124 | + | 5.41584i | −0.0548937 | + | 0.216807i | ||||
\(625\) | −20.2229 | − | 14.6928i | −0.808917 | − | 0.587713i | ||||
\(626\) | 49.1158 | + | 28.3570i | 1.96306 | + | 1.13338i | ||||
\(627\) | 2.73931 | + | 11.9517i | 0.109397 | + | 0.477303i | ||||
\(628\) | 5.78873 | + | 10.0264i | 0.230995 | + | 0.400096i | ||||
\(629\) | 23.4410 | − | 32.2638i | 0.934654 | − | 1.28644i | ||||
\(630\) | −0.0133209 | − | 0.0626700i | −0.000530718 | − | 0.00249683i | ||||
\(631\) | 6.23244 | + | 5.61172i | 0.248110 | + | 0.223399i | 0.783796 | − | 0.621018i | \(-0.213281\pi\) |
−0.535687 | + | 0.844417i | \(0.679947\pi\) | |||||||
\(632\) | −11.3237 | − | 15.5857i | −0.450433 | − | 0.619967i | ||||
\(633\) | −20.8779 | − | 9.29546i | −0.829824 | − | 0.369461i | ||||
\(634\) | −4.56336 | − | 0.969971i | −0.181234 | − | 0.0385225i | ||||
\(635\) | −0.0630872 | + | 0.0568040i | −0.00250354 | + | 0.00225420i | ||||
\(636\) | 14.5504 | + | 10.5715i | 0.576960 | + | 0.419186i | ||||
\(637\) | 5.81949 | + | 8.69574i | 0.230576 | + | 0.344538i | ||||
\(638\) | 16.5596 | + | 9.21346i | 0.655599 | + | 0.364764i | ||||
\(639\) | 12.4797 | + | 7.20513i | 0.493687 | + | 0.285031i | ||||
\(640\) | 0.180125 | − | 0.0801970i | 0.00712008 | − | 0.00317006i | ||||
\(641\) | −2.99067 | + | 0.635688i | −0.118125 | + | 0.0251081i | −0.266595 | − | 0.963809i | \(-0.585898\pi\) |
0.148470 | + | 0.988917i | \(0.452565\pi\) | |||||||
\(642\) | −2.77485 | + | 0.901603i | −0.109515 | + | 0.0355834i | ||||
\(643\) | 19.3318 | − | 43.4200i | 0.762373 | − | 1.71232i | 0.0625055 | − | 0.998045i | \(-0.480091\pi\) |
0.699867 | − | 0.714273i | \(-0.253242\pi\) | |||||||
\(644\) | 4.09292 | − | 9.19285i | 0.161284 | − | 0.362249i | ||||
\(645\) | −0.0555558 | + | 0.0180512i | −0.00218751 | + | 0.000710764i | ||||
\(646\) | −37.9077 | + | 8.05753i | −1.49146 | + | 0.317019i | ||||
\(647\) | −24.7115 | + | 11.0023i | −0.971511 | + | 0.432545i | −0.830228 | − | 0.557425i | \(-0.811790\pi\) |
−0.141284 | + | 0.989969i | \(0.545123\pi\) | |||||||
\(648\) | 1.63683 | + | 0.945022i | 0.0643006 | + | 0.0371240i | ||||
\(649\) | −20.5544 | + | 2.49069i | −0.806830 | + | 0.0977683i | ||||
\(650\) | −33.0193 | + | 22.0976i | −1.29512 | + | 0.866740i | ||||
\(651\) | −12.4188 | − | 9.02275i | −0.486729 | − | 0.353629i | ||||
\(652\) | 13.8340 | − | 12.4562i | 0.541782 | − | 0.487823i | ||||
\(653\) | −0.234297 | − | 0.0498014i | −0.00916876 | − | 0.00194888i | 0.203325 | − | 0.979111i | \(-0.434825\pi\) |
−0.212494 | + | 0.977162i | \(0.568159\pi\) | |||||||
\(654\) | −15.7495 | − | 7.01211i | −0.615853 | − | 0.274195i | ||||
\(655\) | −0.0511752 | − | 0.0704367i | −0.00199958 | − | 0.00275219i | ||||
\(656\) | −10.1078 | − | 9.10114i | −0.394645 | − | 0.355340i | ||||
\(657\) | 2.27969 | + | 10.7251i | 0.0889391 | + | 0.418426i | ||||
\(658\) | −21.4549 | + | 29.5301i | −0.836398 | + | 1.15120i | ||||
\(659\) | −21.2343 | − | 36.7790i | −0.827173 | − | 1.43270i | −0.900248 | − | 0.435378i | \(-0.856615\pi\) |
0.0730750 | − | 0.997326i | \(-0.476719\pi\) | |||||||
\(660\) | −0.135561 | − | 0.0120766i | −0.00527672 | − | 0.000470083i | ||||
\(661\) | 36.0369 | + | 20.8059i | 1.40167 | + | 0.809257i | 0.994564 | − | 0.104123i | \(-0.0332035\pi\) |
0.407109 | + | 0.913380i | \(0.366537\pi\) | |||||||
\(662\) | 58.6681 | + | 42.6249i | 2.28020 | + | 1.65666i | ||||
\(663\) | 12.2925 | + | 11.9574i | 0.477402 | + | 0.464386i | ||||
\(664\) | 1.71987 | + | 5.29320i | 0.0667437 | + | 0.205416i | ||||
\(665\) | −0.106883 | + | 0.0112339i | −0.00414476 | + | 0.000435632i | ||||
\(666\) | 1.93169 | + | 18.3788i | 0.0748513 | + | 0.712162i | ||||
\(667\) | 3.01757 | − | 3.35135i | 0.116841 | − | 0.129765i | ||||
\(668\) | −51.9332 | − | 16.8741i | −2.00936 | − | 0.652879i | ||||
\(669\) | 10.9617 | + | 1.15212i | 0.423805 | + | 0.0445437i | ||||
\(670\) | −0.195491 | + | 0.112867i | −0.00755248 | + | 0.00436043i | ||||
\(671\) | 7.68861 | − | 3.57043i | 0.296815 | − | 0.137835i | ||||
\(672\) | 7.28272 | + | 12.6140i | 0.280937 | + | 0.486597i | ||||
\(673\) | −40.5926 | + | 18.0730i | −1.56473 | + | 0.696663i | −0.992365 | − | 0.123335i | \(-0.960641\pi\) |
−0.572366 | + | 0.819998i | \(0.693974\pi\) | |||||||
\(674\) | −2.97724 | + | 2.68072i | −0.114679 | + | 0.103257i | ||||
\(675\) | −1.54502 | − | 4.75509i | −0.0594679 | − | 0.183023i | ||||
\(676\) | 8.72478 | + | 36.1091i | 0.335568 | + | 1.38881i | ||||
\(677\) | −19.2788 | + | 14.0068i | −0.740943 | + | 0.538327i | −0.893006 | − | 0.450044i | \(-0.851408\pi\) |
0.152063 | + | 0.988371i | \(0.451408\pi\) | |||||||
\(678\) | −7.17687 | + | 33.7645i | −0.275626 | + | 1.29672i | ||||
\(679\) | −17.2693 | − | 19.1795i | −0.662734 | − | 0.736040i | ||||
\(680\) | 0.0134937 | − | 0.128384i | 0.000517461 | − | 0.00492332i | ||||
\(681\) | − | 6.69126i | − | 0.256409i | ||||||
\(682\) | −44.3207 | + | 33.2881i | −1.69713 | + | 1.27467i | ||||
\(683\) | 18.7216 | − | 10.8089i | 0.716363 | − | 0.413592i | −0.0970499 | − | 0.995280i | \(-0.530941\pi\) |
0.813412 | + | 0.581687i | \(0.197607\pi\) | |||||||
\(684\) | 6.20959 | − | 8.54677i | 0.237430 | − | 0.326794i | ||||
\(685\) | 0.224833 | − | 0.0477898i | 0.00859044 | − | 0.00182596i | ||||
\(686\) | 43.2138 | + | 9.18537i | 1.64991 | + | 0.350699i | ||||
\(687\) | 16.6563 | − | 1.75064i | 0.635476 | − | 0.0667912i | ||||
\(688\) | 5.09925 | − | 3.70482i | 0.194407 | − | 0.141245i | ||||
\(689\) | −22.4606 | − | 3.23990i | −0.855681 | − | 0.123431i | ||||
\(690\) | −0.0170135 | + | 0.0523621i | −0.000647691 | + | 0.00199339i | ||||
\(691\) | −10.2427 | − | 23.0054i | −0.389650 | − | 0.875168i | −0.996751 | − | 0.0805437i | \(-0.974334\pi\) |
0.607101 | − | 0.794625i | \(-0.292332\pi\) | |||||||
\(692\) | −1.36276 | + | 2.36037i | −0.0518044 | + | 0.0897279i | ||||
\(693\) | −0.106534 | − | 6.71316i | −0.00404690 | − | 0.255012i | ||||
\(694\) | − | 8.29957i | − | 0.315047i | ||||||
\(695\) | −0.0156270 | − | 0.00164246i | −0.000592766 | − | 6.23022e-5i | ||||
\(696\) | −1.01873 | − | 4.79273i | −0.0386147 | − | 0.181668i | ||||
\(697\) | −39.7072 | + | 12.9016i | −1.50402 | + | 0.488685i | ||||
\(698\) | 17.1602 | + | 7.64022i | 0.649524 | + | 0.289187i | ||||
\(699\) | 0.511721 | + | 4.86870i | 0.0193551 | + | 0.184151i | ||||
\(700\) | −6.01327 | + | 28.2902i | −0.227280 | + | 1.06927i | ||||
\(701\) | 1.09826 | − | 3.38009i | 0.0414806 | − | 0.127664i | −0.928172 | − | 0.372152i | \(-0.878620\pi\) |
0.969652 | + | 0.244488i | \(0.0786199\pi\) | |||||||
\(702\) | −7.94069 | − | 0.306189i | −0.299702 | − | 0.0115563i | ||||
\(703\) | 30.9986 | 1.16913 | ||||||||
\(704\) | 41.2473 | − | 9.45384i | 1.55456 | − | 0.356305i | ||||
\(705\) | 0.0587414 | − | 0.101743i | 0.00221233 | − | 0.00383187i | ||||
\(706\) | 7.22110 | − | 68.7042i | 0.271770 | − | 2.58572i | ||||
\(707\) | −13.7227 | − | 4.45878i | −0.516095 | − | 0.167690i | ||||
\(708\) | 13.2569 | + | 11.9366i | 0.498225 | + | 0.448604i | ||||
\(709\) | 7.49697 | − | 16.8385i | 0.281555 | − | 0.632382i | −0.716304 | − | 0.697788i | \(-0.754168\pi\) |
0.997859 | + | 0.0654061i | \(0.0208343\pi\) | |||||||
\(710\) | 0.268078 | + | 0.368977i | 0.0100608 | + | 0.0138475i | ||||
\(711\) | −6.82038 | + | 7.57480i | −0.255784 | + | 0.284077i | ||||
\(712\) | −14.2056 | − | 15.7770i | −0.532379 | − | 0.591266i | ||||
\(713\) | 5.36523 | + | 12.0505i | 0.200930 | + | 0.451295i | ||||
\(714\) | 21.2206 | 0.794163 | ||||||||
\(715\) | 0.158420 | − | 0.0662718i | 0.00592458 | − | 0.00247842i | ||||
\(716\) | −5.74079 | −0.214543 | ||||||||
\(717\) | −5.03556 | − | 11.3101i | −0.188057 | − | 0.422382i | ||||
\(718\) | 16.1188 | + | 17.9018i | 0.601549 | + | 0.668087i | ||||
\(719\) | 20.8072 | − | 23.1088i | 0.775979 | − | 0.861812i | −0.217472 | − | 0.976067i | \(-0.569781\pi\) |
0.993452 | + | 0.114254i | \(0.0364478\pi\) | |||||||
\(720\) | −0.0130788 | − | 0.0180014i | −0.000487417 | − | 0.000670872i | ||||
\(721\) | 11.1798 | − | 25.1103i | 0.416359 | − | 0.935157i | ||||
\(722\) | 8.73350 | + | 7.86368i | 0.325027 | + | 0.292656i | ||||
\(723\) | 1.12639 | + | 0.365986i | 0.0418908 | + | 0.0136112i | ||||
\(724\) | 3.74989 | − | 35.6778i | 0.139363 | − | 1.32595i | ||||
\(725\) | −6.48080 | + | 11.2251i | −0.240691 | + | 0.416889i | ||||
\(726\) | −23.2834 | − | 6.75636i | −0.864127 | − | 0.250752i | ||||
\(727\) | −39.5391 | −1.46642 | −0.733212 | − | 0.680000i | \(-0.761980\pi\) | ||||
−0.733212 | + | 0.680000i | \(0.761980\pi\) | |||||||
\(728\) | 11.6724 | + | 7.35281i | 0.432607 | + | 0.272513i | ||||
\(729\) | 0.309017 | − | 0.951057i | 0.0114451 | − | 0.0352243i | ||||
\(730\) | −0.0721516 | + | 0.339447i | −0.00267045 | + | 0.0125635i | ||||
\(731\) | −2.02237 | − | 19.2416i | −0.0748001 | − | 0.711675i | ||||
\(732\) | −6.67237 | − | 2.97073i | −0.246618 | − | 0.109801i | ||||
\(733\) | −9.18029 | + | 2.98286i | −0.339082 | + | 0.110174i | −0.473608 | − | 0.880736i | \(-0.657049\pi\) |
0.134526 | + | 0.990910i | \(0.457049\pi\) | |||||||
\(734\) | 1.89895 | + | 8.93387i | 0.0700916 | + | 0.329755i | ||||
\(735\) | −0.0414454 | − | 0.00435608i | −0.00152874 | − | 0.000160677i | ||||
\(736\) | − | 12.5164i | − | 0.461360i | ||||||
\(737\) | −22.3784 | + | 7.66584i | −0.824319 | + | 0.282375i | ||||
\(738\) | 9.67336 | − | 16.7547i | 0.356081 | − | 0.616751i | ||||
\(739\) | 9.59189 | + | 21.5437i | 0.352843 | + | 0.792499i | 0.999557 | + | 0.0297660i | \(0.00947622\pi\) |
−0.646714 | + | 0.762733i | \(0.723857\pi\) | |||||||
\(740\) | −0.106324 | + | 0.327232i | −0.00390855 | + | 0.0120293i | ||||
\(741\) | −1.90309 | + | 13.1932i | −0.0699118 | + | 0.484663i | ||||
\(742\) | −22.7182 | + | 16.5057i | −0.834010 | + | 0.605944i | ||||
\(743\) | 29.5273 | − | 3.10344i | 1.08325 | − | 0.113854i | 0.453958 | − | 0.891023i | \(-0.350012\pi\) |
0.629292 | + | 0.777169i | \(0.283345\pi\) | |||||||
\(744\) | 14.0188 | + | 2.97979i | 0.513955 | + | 0.109244i | ||||
\(745\) | 0.230031 | − | 0.0488946i | 0.00842769 | − | 0.00179136i | ||||
\(746\) | −1.54001 | + | 2.11964i | −0.0563837 | + | 0.0776055i | ||||
\(747\) | 2.55018 | − | 1.47235i | 0.0933062 | − | 0.0538704i | ||||
\(748\) | 13.2476 | − | 43.0865i | 0.484380 | − | 1.57540i | ||||
\(749\) | − | 2.67984i | − | 0.0979193i | ||||||
\(750\) | 0.0330823 | − | 0.314757i | 0.00120800 | − | 0.0114933i | ||||
\(751\) | −25.6154 | − | 28.4488i | −0.934719 | − | 1.03811i | −0.999192 | − | 0.0401906i | \(-0.987203\pi\) |
0.0644735 | − | 0.997919i | \(-0.479463\pi\) | |||||||
\(752\) | −2.63560 | + | 12.3995i | −0.0961103 | + | 0.452163i | ||||
\(753\) | 14.9645 | − | 10.8723i | 0.545336 | − | 0.396210i | ||||
\(754\) | 13.1846 | + | 15.8293i | 0.480155 | + | 0.576468i | ||||
\(755\) | 0.0781125 | + | 0.240406i | 0.00284280 | + | 0.00874925i | ||||
\(756\) | −4.29886 | + | 3.87071i | −0.156348 | + | 0.140776i | ||||
\(757\) | 1.40129 | − | 0.623896i | 0.0509309 | − | 0.0226759i | −0.381113 | − | 0.924528i | \(-0.624459\pi\) |
0.432044 | + | 0.901853i | \(0.357792\pi\) | |||||||
\(758\) | 2.37644 | + | 4.11611i | 0.0863161 | + | 0.149504i | ||||
\(759\) | −2.80509 | + | 5.04166i | −0.101818 | + | 0.183001i | ||||
\(760\) | 0.0868987 | − | 0.0501710i | 0.00315215 | − | 0.00181989i | ||||
\(761\) | 46.9713 | + | 4.93688i | 1.70271 | + | 0.178962i | 0.905385 | − | 0.424592i | \(-0.139583\pi\) |
0.797322 | + | 0.603554i | \(0.206249\pi\) | |||||||
\(762\) | 12.3914 | + | 4.02622i | 0.448894 | + | 0.145855i | ||||
\(763\) | 10.5955 | − | 11.7675i | 0.383584 | − | 0.426013i | ||||
\(764\) | −2.73061 | − | 25.9800i | −0.0987901 | − | 0.939925i | ||||
\(765\) | −0.0679267 | + | 0.00713938i | −0.00245589 | + | 0.000258125i | ||||
\(766\) | −14.0656 | − | 43.2895i | −0.508211 | − | 1.56411i | ||||
\(767\) | −21.8199 | − | 5.52461i | −0.787871 | − | 0.199482i | ||||
\(768\) | −3.83768 | − | 2.78824i | −0.138480 | − | 0.100612i | ||||
\(769\) | −22.1896 | − | 12.8112i | −0.800177 | − | 0.461982i | 0.0433563 | − | 0.999060i | \(-0.486195\pi\) |
−0.843533 | + | 0.537078i | \(0.819528\pi\) | |||||||
\(770\) | 0.0833389 | − | 0.195472i | 0.00300333 | − | 0.00704433i | ||||
\(771\) | −7.20110 | − | 12.4727i | −0.259341 | − | 0.449192i | ||||
\(772\) | 34.4721 | − | 47.4468i | 1.24068 | − | 1.70765i | ||||
\(773\) | −6.18850 | − | 29.1146i | −0.222585 | − | 1.04718i | −0.937504 | − | 0.347973i | \(-0.886870\pi\) |
0.714919 | − | 0.699207i | \(-0.246463\pi\) | |||||||
\(774\) | 6.66261 | + | 5.99904i | 0.239482 | + | 0.215631i | ||||
\(775\) | −22.2847 | − | 30.6722i | −0.800489 | − | 1.10178i | ||||
\(776\) | 22.0130 | + | 9.80084i | 0.790222 | + | 0.351830i | ||||
\(777\) | −16.6028 | − | 3.52904i | −0.595623 | − | 0.126604i | ||||
\(778\) | 31.4644 | − | 28.3307i | 1.12805 | − | 1.01570i | ||||
\(779\) | −26.2546 | − | 19.0751i | −0.940668 | − | 0.683435i | ||||
\(780\) | −0.132744 | − | 0.0653417i | −0.00475300 | − | 0.00233961i | ||||
\(781\) | 20.1297 | + | 43.3475i | 0.720297 | + | 1.55110i | ||||
\(782\) | −15.7923 | − | 9.11766i | −0.564730 | − | 0.326047i | ||||
\(783\) | −2.36830 | + | 1.05444i | −0.0846362 | + | 0.0376824i | ||||
\(784\) | 4.39836 | − | 0.934901i | 0.157084 | − | 0.0333893i | ||||
\(785\) | 0.0553332 | − | 0.0179789i | 0.00197493 | − | 0.000641693i | ||||
\(786\) | −5.43503 | + | 12.2073i | −0.193861 | + | 0.435419i | ||||
\(787\) | 9.64667 | − | 21.6668i | 0.343867 | − | 0.772337i | −0.655979 | − | 0.754779i | \(-0.727744\pi\) |
0.999846 | − | 0.0175583i | \(-0.00558927\pi\) | |||||||
\(788\) | 36.2642 | − | 11.7830i | 1.29186 | − | 0.419751i | ||||
\(789\) | 12.7724 | − | 2.71486i | 0.454710 | − | 0.0966516i | ||||
\(790\) | −0.294712 | + | 0.131214i | −0.0104854 | + | 0.00466840i | ||||
\(791\) | −27.4576 | − | 15.8527i | −0.976280 | − | 0.563656i | ||||
\(792\) | 2.64020 | + | 5.68544i | 0.0938155 | + | 0.202023i | ||||
\(793\) | 9.19550 | − | 0.609443i | 0.326542 | − | 0.0216419i | ||||
\(794\) | −61.2978 | − | 44.5355i | −2.17538 | − | 1.58050i | ||||
\(795\) | 0.0671671 | − | 0.0604775i | 0.00238217 | − | 0.00214492i | ||||
\(796\) | −4.23999 | − | 0.901238i | −0.150283 | − | 0.0319435i | ||||
\(797\) | −19.6469 | − | 8.74735i | −0.695928 | − | 0.309847i | 0.0281123 | − | 0.999605i | \(-0.491050\pi\) |
−0.724040 | + | 0.689758i | \(0.757717\pi\) | |||||||
\(798\) | 9.69532 | + | 13.3445i | 0.343211 | + | 0.472389i | ||||
\(799\) | 28.9169 | + | 26.0369i | 1.02301 | + | 0.921118i | ||||
\(800\) | 7.47945 | + | 35.1880i | 0.264438 | + | 1.24408i | ||||
\(801\) | −6.60232 | + | 9.08731i | −0.233281 | + | 0.321084i | ||||
\(802\) | 22.9377 | + | 39.7293i | 0.809959 | + | 1.40289i | ||||
\(803\) | −14.2623 | + | 33.4523i | −0.503305 | + | 1.18051i | ||||
\(804\) | 17.6503 | + | 10.1904i | 0.622478 | + | 0.359388i | ||||
\(805\) | −0.0409114 | − | 0.0297239i | −0.00144194 | − | 0.00104763i | ||||
\(806\) | −57.9838 | + | 16.3988i | −2.04239 | + | 0.577623i | ||||
\(807\) | −0.234683 | − | 0.722279i | −0.00826123 | − | 0.0254254i | ||||
\(808\) | 13.3978 | − | 1.40817i | 0.471334 | − | 0.0495392i | ||||
\(809\) | 1.62684 | + | 15.4783i | 0.0571966 | + | 0.544190i | 0.985175 | + | 0.171555i | \(0.0548790\pi\) |
−0.927978 | + | 0.372635i | \(0.878454\pi\) | |||||||
\(810\) | 0.0211778 | − | 0.0235204i | 0.000744113 | − | 0.000826421i | ||||
\(811\) | −13.1099 | − | 4.25967i | −0.460352 | − | 0.149577i | 0.0696543 | − | 0.997571i | \(-0.477810\pi\) |
−0.530006 | + | 0.847994i | \(0.677810\pi\) | |||||||
\(812\) | 14.9142 | + | 1.56755i | 0.523387 | + | 0.0550102i | ||||
\(813\) | −13.7595 | + | 7.94403i | −0.482565 | + | 0.278609i | ||||
\(814\) | −29.7995 | + | 53.5593i | −1.04447 | + | 1.87725i | ||||
\(815\) | −0.0467748 | − | 0.0810163i | −0.00163845 | − | 0.00283788i | ||||
\(816\) | 6.73258 | − | 2.99754i | 0.235687 | − | 0.104935i | ||||
\(817\) | 11.1760 | − | 10.0629i | 0.390997 | − | 0.352055i | ||||
\(818\) | −7.57264 | − | 23.3062i | −0.264771 | − | 0.814882i | ||||
\(819\) | 2.52127 | − | 6.84959i | 0.0881004 | − | 0.239344i | ||||
\(820\) | 0.291415 | − | 0.211725i | 0.0101767 | − | 0.00739378i | ||||
\(821\) | 9.43783 | − | 44.4015i | 0.329383 | − | 1.54962i | −0.432334 | − | 0.901713i | \(-0.642310\pi\) |
0.761717 | − | 0.647910i | \(-0.224357\pi\) | |||||||
\(822\) | −23.6056 | − | 26.2167i | −0.823340 | − | 0.914411i | ||||
\(823\) | −0.642039 | + | 6.10859i | −0.0223801 | + | 0.212932i | 0.977617 | + | 0.210394i | \(0.0674746\pi\) |
−0.999997 | + | 0.00253824i | \(0.999192\pi\) | |||||||
\(824\) | 25.6631i | 0.894016i | ||||||||
\(825\) | 4.87337 | − | 15.8502i | 0.169669 | − | 0.551832i | ||||
\(826\) | −24.1212 | + | 13.9264i | −0.839282 | + | 0.484560i | ||||
\(827\) | 7.89693 | − | 10.8692i | 0.274603 | − | 0.377959i | −0.649334 | − | 0.760503i | \(-0.724952\pi\) |
0.923937 | + | 0.382545i | \(0.124952\pi\) | |||||||
\(828\) | 4.86227 | − | 1.03351i | 0.168976 | − | 0.0359169i | ||||
\(829\) | 50.4803 | + | 10.7299i | 1.75325 | + | 0.372666i | 0.968863 | − | 0.247599i | \(-0.0796416\pi\) |
0.784392 | + | 0.620265i | \(0.212975\pi\) | |||||||
\(830\) | 0.0926883 | − | 0.00974194i | 0.00321726 | − | 0.000338148i | ||||
\(831\) | 22.6820 | − | 16.4795i | 0.786831 | − | 0.571666i | ||||
\(832\) | 45.5320 | + | 6.56791i | 1.57854 | + | 0.227701i | ||||
\(833\) | 4.26528 | − | 13.1272i | 0.147783 | − | 0.454829i | ||||
\(834\) | 0.980893 | + | 2.20312i | 0.0339656 | + | 0.0762879i | ||||
\(835\) | −0.137207 | + | 0.237649i | −0.00474823 | + | 0.00822418i | ||||
\(836\) | 33.1472 | − | 11.3548i | 1.14642 | − | 0.392713i | ||||
\(837\) | − | 7.58290i | − | 0.262103i | ||||||
\(838\) | −33.3641 | − | 3.50670i | −1.15254 | − | 0.121137i | ||||
\(839\) | −5.11964 | − | 24.0860i | −0.176750 | − | 0.831541i | −0.973760 | − | 0.227576i | \(-0.926920\pi\) |
0.797011 | − | 0.603965i | \(-0.206413\pi\) | |||||||
\(840\) | −0.0522546 | + | 0.0169786i | −0.00180296 | + | 0.000585816i | ||||
\(841\) | −20.3532 | − | 9.06182i | −0.701833 | − | 0.312476i | ||||
\(842\) | 8.27611 | + | 78.7419i | 0.285214 | + | 2.71363i | ||||
\(843\) | −5.18080 | + | 24.3738i | −0.178436 | + | 0.839477i | ||||
\(844\) | −20.1806 | + | 62.1096i | −0.694646 | + | 2.13790i | ||||
\(845\) | 0.186612 | − | 0.00515908i | 0.00641964 | − | 0.000177478i | ||||
\(846\) | −18.0311 | −0.619922 | ||||||||
\(847\) | 12.5105 | − | 18.4213i | 0.429865 | − | 0.632963i | ||||
\(848\) | −4.87617 | + | 8.44577i | −0.167448 | + | 0.290029i | ||||
\(849\) | 0.897962 | − | 8.54354i | 0.0308180 | − | 0.293214i | ||||
\(850\) | 49.8462 | + | 16.1960i | 1.70971 | + | 0.555519i | ||||
\(851\) | 10.8394 | + | 9.75986i | 0.371571 | + | 0.334564i | ||||
\(852\) | 16.7487 | − | 37.6181i | 0.573800 | − | 1.28877i | ||||
\(853\) | −19.3182 | − | 26.5893i | −0.661443 | − | 0.910399i | 0.338085 | − | 0.941116i | \(-0.390221\pi\) |
−0.999528 | + | 0.0307170i | \(0.990221\pi\) | |||||||
\(854\) | 7.63063 | − | 8.47467i | 0.261115 | − | 0.289997i | ||||
\(855\) | −0.0355240 | − | 0.0394534i | −0.00121489 | − | 0.00134928i | ||||
\(856\) | 1.01768 | + | 2.28574i | 0.0347834 | + | 0.0781249i | ||||
\(857\) | 32.9054 | 1.12403 | 0.562014 | − | 0.827128i | \(-0.310027\pi\) | ||||
0.562014 | + | 0.827128i | \(0.310027\pi\) | |||||||
\(858\) | −20.9656 | − | 15.9710i | −0.715755 | − | 0.545240i | ||||
\(859\) | −42.0869 | −1.43599 | −0.717994 | − | 0.696049i | \(-0.754939\pi\) | ||||
−0.717994 | + | 0.696049i | \(0.754939\pi\) | |||||||
\(860\) | 0.0678940 | + | 0.152492i | 0.00231517 | + | 0.00519995i | ||||
\(861\) | 11.8903 | + | 13.2056i | 0.405222 | + | 0.450044i | ||||
\(862\) | 52.4803 | − | 58.2853i | 1.78749 | − | 1.98521i | ||||
\(863\) | 30.8800 | + | 42.5027i | 1.05117 | + | 1.44681i | 0.887793 | + | 0.460243i | \(0.152238\pi\) |
0.163374 | + | 0.986564i | \(0.447762\pi\) | |||||||
\(864\) | −2.92652 | + | 6.57308i | −0.0995623 | + | 0.223621i | ||||
\(865\) | 0.0101786 | + | 0.00916489i | 0.000346084 | + | 0.000311616i | ||||
\(866\) | 64.1982 | + | 20.8593i | 2.18154 | + | 0.708827i | ||||
\(867\) | 0.587650 | − | 5.59111i | 0.0199576 | − | 0.189884i | ||||
\(868\) | −21.9323 | + | 37.9879i | −0.744432 | + | 1.28939i | ||||
\(869\) | −32.9516 | + | 7.55248i | −1.11781 | + | 0.256200i | ||||
\(870\) | −0.0820497 | −0.00278175 | ||||||||
\(871\) | −25.6966 | − | 0.990846i | −0.870695 | − | 0.0335735i | ||||
\(872\) | −4.56858 | + | 14.0606i | −0.154712 | + | 0.476153i | ||||
\(873\) | 2.65068 | − | 12.4705i | 0.0897118 | − | 0.422061i | ||||
\(874\) | −1.48161 | − | 14.0965i | −0.0501161 | − | 0.476823i | ||||
\(875\) | 0.265563 | + | 0.118236i | 0.00897767 | + | 0.00399712i | ||||
\(876\) | 29.7987 | − | 9.68220i | 1.00681 | − | 0.327131i | ||||
\(877\) | −2.02165 | − | 9.51110i | −0.0682661 | − | 0.321167i | 0.930743 | − | 0.365674i | \(-0.119162\pi\) |
−0.999009 | + | 0.0445073i | \(0.985828\pi\) | |||||||
\(878\) | −4.37327 | − | 0.459649i | −0.147591 | − | 0.0155124i | ||||
\(879\) | − | 5.13169i | − | 0.173088i | ||||||
\(880\) | −0.00117099 | − | 0.0737887i | −3.94739e−5 | − | 0.00248742i | ||||
\(881\) | 17.8482 | − | 30.9141i | 0.601323 | − | 1.04152i | −0.391298 | − | 0.920264i | \(-0.627974\pi\) |
0.992621 | − | 0.121258i | \(-0.0386927\pi\) | |||||||
\(882\) | 2.60149 | + | 5.84304i | 0.0875968 | + | 0.196746i | ||||
\(883\) | −9.87443 | + | 30.3904i | −0.332301 | + | 1.02272i | 0.635735 | + | 0.771907i | \(0.280697\pi\) |
−0.968036 | + | 0.250810i | \(0.919303\pi\) | |||||||
\(884\) | 30.3100 | − | 38.5058i | 1.01943 | − | 1.29509i | ||||
\(885\) | 0.0725258 | − | 0.0526931i | 0.00243793 | − | 0.00177126i | ||||
\(886\) | 32.6590 | − | 3.43260i | 1.09720 | − | 0.115320i | ||||
\(887\) | −7.89055 | − | 1.67719i | −0.264939 | − | 0.0563145i | 0.0735269 | − | 0.997293i | \(-0.476575\pi\) |
−0.338466 | + | 0.940979i | \(0.609908\pi\) | |||||||
\(888\) | 15.5013 | − | 3.29491i | 0.520191 | − | 0.110570i | ||||
\(889\) | −7.03413 | + | 9.68164i | −0.235917 | + | 0.324712i | ||||
\(890\) | −0.307878 | + | 0.177754i | −0.0103201 | + | 0.00595831i | ||||
\(891\) | 2.65194 | − | 1.99179i | 0.0888432 | − | 0.0667276i | ||||
\(892\) | − | 31.4963i | − | 1.05457i | ||||||
\(893\) | −3.16153 | + | 30.0799i | −0.105797 | + | 1.00659i | ||||
\(894\) | −24.1513 | − | 26.8227i | −0.807740 | − | 0.897087i | ||||
\(895\) | −0.00599815 | + | 0.0282191i | −0.000200496 | + | 0.000943259i | ||||
\(896\) | 22.4867 | − | 16.3376i | 0.751228 | − | 0.545799i | ||||
\(897\) | −4.81931 | + | 4.01413i | −0.160912 | + | 0.134028i | ||||
\(898\) | −13.6986 | − | 42.1600i | −0.457129 | − | 1.40690i | ||||
\(899\) | −14.6088 | + | 13.1538i | −0.487232 | + | 0.438705i | ||||
\(900\) | −13.0520 | + | 5.81113i | −0.435067 | + | 0.193704i | ||||
\(901\) | 14.9677 | + | 25.9249i | 0.498648 | + | 0.863684i | ||||
\(902\) | 58.1969 | − | 27.0254i | 1.93774 | − | 0.899848i | ||||
\(903\) | −7.13144 | + | 4.11734i | −0.237320 | + | 0.137016i | ||||
\(904\) | 29.4397 | + | 3.09424i | 0.979149 | + | 0.102913i | ||||
\(905\) | −0.171457 | − | 0.0557099i | −0.00569944 | − | 0.00185186i | ||||
\(906\) | 25.9595 | − | 28.8310i | 0.862447 | − | 0.957845i | ||||
\(907\) | −4.39931 | − | 41.8566i | −0.146077 | − | 1.38983i | −0.784494 | − | 0.620136i | \(-0.787077\pi\) |
0.638417 | − | 0.769690i | \(-0.279589\pi\) | |||||||
\(908\) | −19.0159 | + | 1.99865i | −0.631065 | + | 0.0663276i | ||||
\(909\) | −2.20257 | − | 6.77883i | −0.0730548 | − | 0.224840i | ||||
\(910\) | 0.161074 | − | 0.165589i | 0.00533957 | − | 0.00548922i | ||||
\(911\) | −4.23328 | − | 3.07566i | −0.140255 | − | 0.101901i | 0.515445 | − | 0.856922i | \(-0.327626\pi\) |
−0.655700 | + | 0.755021i | \(0.727626\pi\) | |||||||
\(912\) | 4.96097 | + | 2.86422i | 0.164274 | + | 0.0948437i | ||||
\(913\) | 9.72792 | + | 0.866624i | 0.321947 | + | 0.0286811i | ||||
\(914\) | −36.4680 | − | 63.1644i | −1.20625 | − | 2.08929i | ||||
\(915\) | −0.0215742 | + | 0.0296944i | −0.000713222 | + | 0.000981666i | ||||
\(916\) | −9.95031 | − | 46.8125i | −0.328768 | − | 1.54673i | ||||
\(917\) | −9.12091 | − | 8.21251i | −0.301199 | − | 0.271201i | ||||
\(918\) | 6.16158 | + | 8.48069i | 0.203363 | + | 0.279904i | ||||
\(919\) | 38.7989 | + | 17.2744i | 1.27986 | + | 0.569829i | 0.930202 | − | 0.367049i | \(-0.119632\pi\) |
0.349656 | + | 0.936878i | \(0.386298\pi\) | |||||||
\(920\) | 0.0461825 | + | 0.00981640i | 0.00152259 | + | 0.000323637i | ||||
\(921\) | 7.67323 | − | 6.90901i | 0.252841 | − | 0.227659i | ||||
\(922\) | 4.93083 | + | 3.58246i | 0.162388 | + | 0.117982i | ||||
\(923\) | 3.43597 | + | 51.8432i | 0.113096 | + | 1.70644i | ||||
\(924\) | −19.0463 | + | 2.30795i | −0.626578 | + | 0.0759261i | ||||
\(925\) | −36.3058 | − | 20.9611i | −1.19373 | − | 0.689198i | ||||
\(926\) | −48.0154 | + | 21.3778i | −1.57788 | + | 0.702519i | ||||
\(927\) | 13.2813 | − | 2.82303i | 0.436216 | − | 0.0927206i | ||||
\(928\) | 17.7399 | − | 5.76405i | 0.582341 | − | 0.189214i | ||||
\(929\) | 1.73917 | − | 3.90623i | 0.0570602 | − | 0.128159i | −0.882765 | − | 0.469814i | \(-0.844321\pi\) |
0.939825 | + | 0.341655i | \(0.110987\pi\) | |||||||
\(930\) | 0.0976155 | − | 0.219248i | 0.00320094 | − | 0.00718943i | ||||
\(931\) | 10.2037 | − | 3.31537i | 0.334411 | − | 0.108657i | ||||
\(932\) | 13.6835 | − | 2.90852i | 0.448219 | − | 0.0952718i | ||||
\(933\) | 22.2917 | − | 9.92490i | 0.729797 | − | 0.324927i | ||||
\(934\) | −76.0138 | − | 43.8866i | −2.48725 | − | 1.43601i | ||||
\(935\) | −0.197952 | − | 0.110137i | −0.00647371 | − | 0.00360187i | ||||
\(936\) | 0.450660 | + | 6.79973i | 0.0147303 | + | 0.222256i | ||||
\(937\) | 23.7614 | + | 17.2637i | 0.776252 | + | 0.563980i | 0.903852 | − | 0.427846i | \(-0.140727\pi\) |
−0.127600 | + | 0.991826i | \(0.540727\pi\) | |||||||
\(938\) | −23.6480 | + | 21.2927i | −0.772133 | + | 0.695232i | ||||
\(939\) | −25.1702 | − | 5.35009i | −0.821398 | − | 0.174593i | ||||
\(940\) | −0.306690 | − | 0.136547i | −0.0100031 | − | 0.00445368i | ||||
\(941\) | −26.7019 | − | 36.7521i | −0.870458 | − | 1.19808i | −0.978973 | − | 0.203988i | \(-0.934610\pi\) |
0.108515 | − | 0.994095i | \(-0.465390\pi\) | |||||||
\(942\) | −6.63591 | − | 5.97500i | −0.216210 | − | 0.194676i | ||||
\(943\) | −3.17481 | − | 14.9363i | −0.103386 | − | 0.486392i | ||||
\(944\) | −5.68564 | + | 7.82561i | −0.185052 | + | 0.254702i | ||||
\(945\) | 0.0145350 | + | 0.0251754i | 0.000472825 | + | 0.000818957i | ||||
\(946\) | 6.64297 | + | 28.9834i | 0.215982 | + | 0.942331i | ||||
\(947\) | −29.3591 | − | 16.9505i | −0.954042 | − | 0.550816i | −0.0597078 | − | 0.998216i | \(-0.519017\pi\) |
−0.894334 | + | 0.447400i | \(0.852350\pi\) | |||||||
\(948\) | 23.5641 | + | 17.1203i | 0.765325 | + | 0.556041i | ||||
\(949\) | −27.5656 | + | 28.3382i | −0.894818 | + | 0.919898i | ||||
\(950\) | 12.5890 | + | 38.7451i | 0.408443 | + | 1.25706i | ||||
\(951\) | 2.10516 | − | 0.221261i | 0.0682645 | − | 0.00717489i | ||||
\(952\) | −1.90220 | − | 18.0982i | −0.0616506 | − | 0.586567i | ||||
\(953\) | −10.0697 | + | 11.1835i | −0.326188 | + | 0.362269i | −0.883826 | − | 0.467816i | \(-0.845041\pi\) |
0.557638 | + | 0.830084i | \(0.311708\pi\) | |||||||
\(954\) | −13.1928 | − | 4.28660i | −0.427133 | − | 0.138784i | ||||
\(955\) | −0.130559 | − | 0.0137223i | −0.00422479 | − | 0.000444043i | ||||
\(956\) | −30.6380 | + | 17.6889i | −0.990903 | + | 0.572098i | ||||
\(957\) | −8.43753 | − | 1.65397i | −0.272747 | − | 0.0534654i | ||||
\(958\) | 17.6913 | + | 30.6423i | 0.571581 | + | 0.990007i | ||||
\(959\) | 29.6013 | − | 13.1793i | 0.955875 | − | 0.425583i | ||||
\(960\) | −0.136161 | + | 0.122600i | −0.00439456 | + | 0.00395688i | ||||
\(961\) | −8.18906 | − | 25.2033i | −0.264163 | − | 0.813011i | ||||
\(962\) | −51.1973 | + | 42.6435i | −1.65067 | + | 1.37488i | ||||
\(963\) | 1.07098 | − | 0.778113i | 0.0345119 | − | 0.0250744i | ||||
\(964\) | 0.703648 | − | 3.31040i | 0.0226630 | − | 0.106621i | ||||
\(965\) | −0.197209 | − | 0.219023i | −0.00634838 | − | 0.00705059i | ||||
\(966\) | −0.811276 | + | 7.71877i | −0.0261024 | + | 0.248347i | ||||
\(967\) | − | 3.68617i | − | 0.118539i | −0.998242 | − | 0.0592696i | \(-0.981123\pi\) | ||
0.998242 | − | 0.0592696i | \(-0.0188772\pi\) | |||||||
\(968\) | −3.67512 | + | 20.4631i | −0.118123 | + | 0.657708i | ||||
\(969\) | 15.2281 | − | 8.79193i | 0.489196 | − | 0.282437i | ||||
\(970\) | 0.237174 | − | 0.326442i | 0.00761520 | − | 0.0104814i | ||||
\(971\) | 0.0104265 | − | 0.00221622i | 0.000334602 | − | 7.11219e-5i | −0.207744 | − | 0.978183i | \(-0.566612\pi\) |
0.208079 | + | 0.978112i | \(0.433279\pi\) | |||||||
\(972\) | −2.79511 | − | 0.594119i | −0.0896533 | − | 0.0190564i | ||||
\(973\) | −2.20292 | + | 0.231536i | −0.0706224 | + | 0.00742271i | ||||
\(974\) | 1.86945 | − | 1.35824i | 0.0599010 | − | 0.0435207i | ||||
\(975\) | 11.1501 | − | 14.1651i | 0.357088 | − | 0.453645i | ||||
\(976\) | 1.22384 | − | 3.76659i | 0.0391741 | − | 0.120566i | ||||
\(977\) | −12.3877 | − | 27.8231i | −0.396316 | − | 0.890141i | −0.995954 | − | 0.0898688i | \(-0.971355\pi\) |
0.599637 | − | 0.800272i | \(-0.295311\pi\) | |||||||
\(978\) | −7.17892 | + | 12.4343i | −0.229557 | + | 0.397604i | ||||
\(979\) | −35.2436 | + | 12.0729i | −1.12639 | + | 0.385852i | ||||
\(980\) | 0.119085i | 0.00380403i | ||||||||
\(981\) | 7.77931 | + | 0.817638i | 0.248374 | + | 0.0261052i | ||||
\(982\) | −6.65633 | − | 31.3156i | −0.212412 | − | 0.999320i | ||||
\(983\) | 36.9126 | − | 11.9936i | 1.17733 | − | 0.382538i | 0.345956 | − | 0.938251i | \(-0.387555\pi\) |
0.831374 | + | 0.555713i | \(0.187555\pi\) | |||||||
\(984\) | −15.1565 | − | 6.74813i | −0.483173 | − | 0.215122i | ||||
\(985\) | −0.0200297 | − | 0.190569i | −0.000638198 | − | 0.00607205i | ||||
\(986\) | 5.65014 | − | 26.5818i | 0.179937 | − | 0.846537i | ||||
\(987\) | 5.11777 | − | 15.7509i | 0.162900 | − | 0.501356i | ||||
\(988\) | 38.0621 | + | 1.46766i | 1.21092 | + | 0.0466924i | ||||
\(989\) | 7.07623 | 0.225011 | ||||||||
\(990\) | 0.102317 | − | 0.0234510i | 0.00325186 | − | 0.000745323i | ||||
\(991\) | 4.78280 | − | 8.28405i | 0.151931 | − | 0.263152i | −0.780007 | − | 0.625771i | \(-0.784784\pi\) |
0.931937 | + | 0.362620i | \(0.118118\pi\) | |||||||
\(992\) | −5.70306 | + | 54.2610i | −0.181072 | + | 1.72279i | ||||
\(993\) | −31.2926 | − | 10.1676i | −0.993041 | − | 0.322659i | ||||
\(994\) | 47.7792 | + | 43.0206i | 1.51547 | + | 1.36453i | ||||
\(995\) | −0.00886014 | + | 0.0199002i | −0.000280885 | + | 0.000630879i | ||||
\(996\) | −4.94600 | − | 6.80758i | −0.156720 | − | 0.215706i | ||||
\(997\) | 6.69030 | − | 7.43033i | 0.211884 | − | 0.235321i | −0.627829 | − | 0.778351i | \(-0.716056\pi\) |
0.839713 | + | 0.543030i | \(0.182723\pi\) | |||||||
\(998\) | −50.2895 | − | 55.8521i | −1.59189 | − | 1.76797i | ||||
\(999\) | −3.41041 | − | 7.65990i | −0.107900 | − | 0.242348i |
(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 | 429.2.bn.a.4.13 | ✓ | 112 | |
11.3 | even | 5 | inner | 429.2.bn.a.355.13 | yes | 112 | |
13.10 | even | 6 | inner | 429.2.bn.a.400.13 | yes | 112 | |
143.36 | even | 30 | inner | 429.2.bn.a.322.13 | yes | 112 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
429.2.bn.a.4.13 | ✓ | 112 | 1.1 | even | 1 | trivial | |
429.2.bn.a.322.13 | yes | 112 | 143.36 | even | 30 | inner | |
429.2.bn.a.355.13 | yes | 112 | 11.3 | even | 5 | inner | |
429.2.bn.a.400.13 | yes | 112 | 13.10 | even | 6 | inner |