Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [117,2,Mod(5,117)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(117, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([10, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("117.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 117 = 3^{2} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 117.z (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.934249703649\) |
Analytic rank: | \(0\) |
Dimension: | \(44\) |
Relative dimension: | \(11\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 5.6 | ||
Character | \(\chi\) | \(=\) | 117.5 |
Dual form | 117.2.z.b.47.6 |
$q$-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 \(\left(\mathbb{Z}/117\mathbb{Z}\right)^\times\).
\(n\) | \(28\) | \(92\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{5}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.120326 | + | 0.449064i | −0.0850835 | + | 0.317536i | −0.995330 | − | 0.0965308i | \(-0.969225\pi\) |
0.910246 | + | 0.414067i | \(0.135892\pi\) | |||||||
\(3\) | −0.453962 | − | 1.67150i | −0.262095 | − | 0.965042i | ||||
\(4\) | 1.54487 | + | 0.891932i | 0.772435 | + | 0.445966i | ||||
\(5\) | 0.207401 | − | 0.0555730i | 0.0927526 | − | 0.0248530i | −0.212144 | − | 0.977238i | \(-0.568045\pi\) |
0.304897 | + | 0.952385i | \(0.401378\pi\) | |||||||
\(6\) | 0.805235 | − | 0.00273231i | 0.328736 | − | 0.00111546i | ||||
\(7\) | 0.845006 | − | 3.15361i | 0.319382 | − | 1.19195i | −0.600458 | − | 0.799657i | \(-0.705015\pi\) |
0.919840 | − | 0.392294i | \(-0.128318\pi\) | |||||||
\(8\) | −1.24390 | + | 1.24390i | −0.439784 | + | 0.439784i | ||||
\(9\) | −2.58784 | + | 1.51760i | −0.862612 | + | 0.505866i | ||||
\(10\) | 0.0998232i | 0.0315669i | ||||||||
\(11\) | 3.19743 | + | 0.856749i | 0.964062 | + | 0.258320i | 0.706319 | − | 0.707894i | \(-0.250355\pi\) |
0.257743 | + | 0.966214i | \(0.417021\pi\) | |||||||
\(12\) | 0.789553 | − | 2.98716i | 0.227924 | − | 0.862318i | ||||
\(13\) | 3.49708 | − | 0.877749i | 0.969915 | − | 0.243444i | ||||
\(14\) | 1.31449 | + | 0.758923i | 0.351313 | + | 0.202831i | ||||
\(15\) | −0.187043 | − | 0.321443i | −0.0482942 | − | 0.0829963i | ||||
\(16\) | 1.37495 | + | 2.38148i | 0.343737 | + | 0.595370i | ||||
\(17\) | −7.72994 | −1.87479 | −0.937393 | − | 0.348274i | \(-0.886768\pi\) | ||||
−0.937393 | + | 0.348274i | \(0.886768\pi\) | |||||||
\(18\) | −0.370113 | − | 1.34471i | −0.0872365 | − | 0.316951i | ||||
\(19\) | −3.13690 | + | 3.13690i | −0.719653 | + | 0.719653i | −0.968534 | − | 0.248881i | \(-0.919937\pi\) |
0.248881 | + | 0.968534i | \(0.419937\pi\) | |||||||
\(20\) | 0.369975 | + | 0.0991346i | 0.0827290 | + | 0.0221672i | ||||
\(21\) | −5.65486 | + | 0.0191880i | −1.23399 | + | 0.00418717i | ||||
\(22\) | −0.769470 | + | 1.33276i | −0.164052 | + | 0.284146i | ||||
\(23\) | 0.172481 | − | 0.298746i | 0.0359648 | − | 0.0622928i | −0.847483 | − | 0.530823i | \(-0.821883\pi\) |
0.883448 | + | 0.468530i | \(0.155216\pi\) | |||||||
\(24\) | 2.64386 | + | 1.51450i | 0.539676 | + | 0.309145i | ||||
\(25\) | −4.29020 | + | 2.47695i | −0.858040 | + | 0.495390i | ||||
\(26\) | −0.0266253 | + | 1.67603i | −0.00522165 | + | 0.328696i | ||||
\(27\) | 3.71145 | + | 3.63664i | 0.714268 | + | 0.699872i | ||||
\(28\) | 4.11823 | − | 4.11823i | 0.778271 | − | 0.778271i | ||||
\(29\) | −4.06978 | + | 2.34969i | −0.755739 | + | 0.436326i | −0.827764 | − | 0.561077i | \(-0.810387\pi\) |
0.0720248 | + | 0.997403i | \(0.477054\pi\) | |||||||
\(30\) | 0.166855 | − | 0.0453159i | 0.0304634 | − | 0.00827352i | ||||
\(31\) | −0.173532 | − | 0.647632i | −0.0311673 | − | 0.116318i | 0.948590 | − | 0.316509i | \(-0.102511\pi\) |
−0.979757 | + | 0.200190i | \(0.935844\pi\) | |||||||
\(32\) | −4.63327 | + | 1.24148i | −0.819054 | + | 0.219465i | ||||
\(33\) | −0.0194547 | − | 5.73344i | −0.00338662 | − | 0.998064i | ||||
\(34\) | 0.930115 | − | 3.47124i | 0.159513 | − | 0.595312i | ||||
\(35\) | − | 0.701021i | − | 0.118494i | ||||||
\(36\) | −5.35147 | + | 0.0363175i | −0.891911 | + | 0.00605292i | ||||
\(37\) | −1.04152 | − | 1.04152i | −0.171225 | − | 0.171225i | 0.616292 | − | 0.787517i | \(-0.288634\pi\) |
−0.787517 | + | 0.616292i | \(0.788634\pi\) | |||||||
\(38\) | −1.03122 | − | 1.78612i | −0.167285 | − | 0.289747i | ||||
\(39\) | −3.05470 | − | 5.44691i | −0.489143 | − | 0.872203i | ||||
\(40\) | −0.188859 | + | 0.327113i | −0.0298612 | + | 0.0517211i | ||||
\(41\) | 7.17396 | − | 1.92226i | 1.12038 | − | 0.300206i | 0.349346 | − | 0.936994i | \(-0.386404\pi\) |
0.771039 | + | 0.636788i | \(0.219737\pi\) | |||||||
\(42\) | 0.671811 | − | 2.54170i | 0.103663 | − | 0.392193i | ||||
\(43\) | −3.27315 | + | 1.88976i | −0.499151 | + | 0.288185i | −0.728363 | − | 0.685191i | \(-0.759719\pi\) |
0.229212 | + | 0.973377i | \(0.426385\pi\) | |||||||
\(44\) | 4.17546 | + | 4.17546i | 0.629474 | + | 0.629474i | ||||
\(45\) | −0.452383 | + | 0.458565i | −0.0674373 | + | 0.0683588i | ||||
\(46\) | 0.113402 | + | 0.113402i | 0.0167202 | + | 0.0167202i | ||||
\(47\) | 10.6369 | + | 2.85014i | 1.55154 | + | 0.415735i | 0.929975 | − | 0.367623i | \(-0.119828\pi\) |
0.621570 | + | 0.783359i | \(0.286495\pi\) | |||||||
\(48\) | 3.35647 | − | 3.37933i | 0.484465 | − | 0.487764i | ||||
\(49\) | −3.16901 | − | 1.82963i | −0.452716 | − | 0.261376i | ||||
\(50\) | −0.596084 | − | 2.22462i | −0.0842990 | − | 0.314608i | ||||
\(51\) | 3.50910 | + | 12.9206i | 0.491372 | + | 1.80925i | ||||
\(52\) | 6.18543 | + | 1.76315i | 0.857764 | + | 0.244504i | ||||
\(53\) | − | 1.94478i | − | 0.267136i | −0.991040 | − | 0.133568i | \(-0.957356\pi\) | ||
0.991040 | − | 0.133568i | \(-0.0426435\pi\) | |||||||
\(54\) | −2.07967 | + | 1.22909i | −0.283007 | + | 0.167258i | ||||
\(55\) | 0.710763 | 0.0958392 | ||||||||
\(56\) | 2.87166 | + | 4.97386i | 0.383742 | + | 0.664660i | ||||
\(57\) | 6.66736 | + | 3.81930i | 0.883113 | + | 0.505878i | ||||
\(58\) | −0.565458 | − | 2.11032i | −0.0742483 | − | 0.277099i | ||||
\(59\) | −2.48647 | − | 9.27964i | −0.323711 | − | 1.20811i | −0.915601 | − | 0.402088i | \(-0.868285\pi\) |
0.591890 | − | 0.806019i | \(-0.298382\pi\) | |||||||
\(60\) | −0.00225110 | − | 0.663418i | −0.000290616 | − | 0.0856468i | ||||
\(61\) | −3.25198 | − | 5.63260i | −0.416373 | − | 0.721180i | 0.579198 | − | 0.815187i | \(-0.303366\pi\) |
−0.995572 | + | 0.0940068i | \(0.970032\pi\) | |||||||
\(62\) | 0.311709 | 0.0395870 | ||||||||
\(63\) | 2.59916 | + | 9.44339i | 0.327464 | + | 1.18976i | ||||
\(64\) | 3.26977i | 0.408722i | ||||||||
\(65\) | 0.676519 | − | 0.376389i | 0.0839118 | − | 0.0466853i | ||||
\(66\) | 2.57702 | + | 0.681147i | 0.317210 | + | 0.0838435i | ||||
\(67\) | 0.729983 | + | 2.72433i | 0.0891816 | + | 0.332830i | 0.996073 | − | 0.0885338i | \(-0.0282181\pi\) |
−0.906892 | + | 0.421364i | \(0.861551\pi\) | |||||||
\(68\) | −11.9418 | − | 6.89458i | −1.44815 | − | 0.836090i | ||||
\(69\) | −0.577654 | − | 0.152683i | −0.0695414 | − | 0.0183809i | ||||
\(70\) | 0.314803 | + | 0.0843512i | 0.0376262 | + | 0.0100819i | ||||
\(71\) | 2.22986 | + | 2.22986i | 0.264636 | + | 0.264636i | 0.826935 | − | 0.562298i | \(-0.190083\pi\) |
−0.562298 | + | 0.826935i | \(0.690083\pi\) | |||||||
\(72\) | 1.33127 | − | 5.10674i | 0.156892 | − | 0.601835i | ||||
\(73\) | −1.50413 | − | 1.50413i | −0.176045 | − | 0.176045i | 0.613584 | − | 0.789629i | \(-0.289727\pi\) |
−0.789629 | + | 0.613584i | \(0.789727\pi\) | |||||||
\(74\) | 0.593032 | − | 0.342387i | 0.0689386 | − | 0.0398017i | ||||
\(75\) | 6.08781 | + | 6.04664i | 0.702960 | + | 0.698206i | ||||
\(76\) | −7.64400 | + | 2.04820i | −0.876827 | + | 0.234945i | ||||
\(77\) | 5.40370 | − | 9.35947i | 0.615808 | − | 1.06661i | ||||
\(78\) | 2.81357 | − | 0.716349i | 0.318574 | − | 0.0811105i | ||||
\(79\) | 3.82930 | + | 6.63255i | 0.430830 | + | 0.746220i | 0.996945 | − | 0.0781063i | \(-0.0248874\pi\) |
−0.566115 | + | 0.824327i | \(0.691554\pi\) | |||||||
\(80\) | 0.417511 | + | 0.417511i | 0.0466792 | + | 0.0466792i | ||||
\(81\) | 4.39380 | − | 7.85459i | 0.488200 | − | 0.872732i | ||||
\(82\) | 3.45286i | 0.381305i | ||||||||
\(83\) | 3.87333 | − | 14.4555i | 0.425153 | − | 1.58669i | −0.338435 | − | 0.940990i | \(-0.609898\pi\) |
0.763588 | − | 0.645703i | \(-0.223436\pi\) | |||||||
\(84\) | −8.75314 | − | 5.01410i | −0.955046 | − | 0.547084i | ||||
\(85\) | −1.60320 | + | 0.429576i | −0.173891 | + | 0.0465940i | ||||
\(86\) | −0.454775 | − | 1.69724i | −0.0490396 | − | 0.183018i | ||||
\(87\) | 5.77503 | + | 5.73597i | 0.619149 | + | 0.614961i | ||||
\(88\) | −5.04298 | + | 2.91157i | −0.537584 | + | 0.310374i | ||||
\(89\) | −1.95017 | + | 1.95017i | −0.206718 | + | 0.206718i | −0.802871 | − | 0.596153i | \(-0.796695\pi\) |
0.596153 | + | 0.802871i | \(0.296695\pi\) | |||||||
\(90\) | −0.151491 | − | 0.258326i | −0.0159686 | − | 0.0272300i | ||||
\(91\) | 0.186980 | − | 11.7701i | 0.0196008 | − | 1.23384i | ||||
\(92\) | 0.532922 | − | 0.307682i | 0.0555609 | − | 0.0320781i | ||||
\(93\) | −1.00374 | + | 0.584060i | −0.104083 | + | 0.0605642i | ||||
\(94\) | −2.55979 | + | 4.43368i | −0.264022 | + | 0.457299i | ||||
\(95\) | −0.476269 | + | 0.824922i | −0.0488642 | + | 0.0846352i | ||||
\(96\) | 4.17847 | + | 7.18093i | 0.426463 | + | 0.732901i | ||||
\(97\) | −2.62010 | − | 0.702053i | −0.266031 | − | 0.0712827i | 0.123338 | − | 0.992365i | \(-0.460640\pi\) |
−0.389369 | + | 0.921082i | \(0.627307\pi\) | |||||||
\(98\) | 1.20294 | − | 1.20294i | 0.121515 | − | 0.121515i | ||||
\(99\) | −9.57463 | + | 2.63528i | −0.962286 | + | 0.264856i | ||||
\(100\) | −8.83707 | −0.883707 | ||||||||
\(101\) | −1.45348 | − | 2.51749i | −0.144626 | − | 0.250500i | 0.784607 | − | 0.619993i | \(-0.212865\pi\) |
−0.929233 | + | 0.369493i | \(0.879531\pi\) | |||||||
\(102\) | −6.22441 | + | 0.0211206i | −0.616309 | + | 0.00209125i | ||||
\(103\) | −9.12195 | − | 5.26656i | −0.898813 | − | 0.518930i | −0.0219980 | − | 0.999758i | \(-0.507003\pi\) |
−0.876815 | + | 0.480828i | \(0.840336\pi\) | |||||||
\(104\) | −3.25818 | + | 5.44184i | −0.319491 | + | 0.533616i | ||||
\(105\) | −1.17176 | + | 0.318237i | −0.114352 | + | 0.0310567i | ||||
\(106\) | 0.873331 | + | 0.234008i | 0.0848254 | + | 0.0227289i | ||||
\(107\) | − | 7.90628i | − | 0.764329i | −0.924094 | − | 0.382165i | \(-0.875179\pi\) | ||
0.924094 | − | 0.382165i | \(-0.124821\pi\) | |||||||
\(108\) | 2.49007 | + | 8.92850i | 0.239607 | + | 0.859145i | ||||
\(109\) | −2.95134 | + | 2.95134i | −0.282687 | + | 0.282687i | −0.834180 | − | 0.551493i | \(-0.814058\pi\) |
0.551493 | + | 0.834180i | \(0.314058\pi\) | |||||||
\(110\) | −0.0855234 | + | 0.319178i | −0.00815434 | + | 0.0304324i | ||||
\(111\) | −1.26809 | + | 2.21372i | −0.120362 | + | 0.210117i | ||||
\(112\) | 8.67208 | − | 2.32368i | 0.819435 | − | 0.219567i | ||||
\(113\) | 13.4508 | + | 7.76583i | 1.26535 | + | 0.730548i | 0.974104 | − | 0.226101i | \(-0.0725981\pi\) |
0.291242 | + | 0.956649i | \(0.405931\pi\) | |||||||
\(114\) | −2.51737 | + | 2.53451i | −0.235773 | + | 0.237378i | ||||
\(115\) | 0.0191706 | − | 0.0715455i | 0.00178766 | − | 0.00667165i | ||||
\(116\) | −8.38304 | −0.778346 | ||||||||
\(117\) | −7.71780 | + | 7.57863i | −0.713511 | + | 0.700644i | ||||
\(118\) | 4.46634 | 0.411160 | ||||||||
\(119\) | −6.53185 | + | 24.3772i | −0.598773 | + | 2.23465i | ||||
\(120\) | 0.632504 | + | 0.167181i | 0.0577395 | + | 0.0152615i | ||||
\(121\) | −0.0367377 | − | 0.0212105i | −0.00333979 | − | 0.00192823i | ||||
\(122\) | 2.92069 | − | 0.782598i | 0.264427 | − | 0.0708531i | ||||
\(123\) | −6.46976 | − | 11.1187i | −0.583359 | − | 1.00254i | ||||
\(124\) | 0.309558 | − | 1.15529i | 0.0277991 | − | 0.103748i | ||||
\(125\) | −1.51128 | + | 1.51128i | −0.135173 | + | 0.135173i | ||||
\(126\) | −4.55343 | + | 0.0309017i | −0.405652 | + | 0.00275294i | ||||
\(127\) | 12.1339i | 1.07671i | 0.842717 | + | 0.538356i | \(0.180955\pi\) | ||||
−0.842717 | + | 0.538356i | \(0.819045\pi\) | |||||||
\(128\) | −10.7349 | − | 2.87640i | −0.948838 | − | 0.254240i | ||||
\(129\) | 4.64462 | + | 4.61321i | 0.408936 | + | 0.406170i | ||||
\(130\) | 0.0876197 | + | 0.349090i | 0.00768475 | + | 0.0306172i | ||||
\(131\) | 8.35287 | + | 4.82253i | 0.729793 | + | 0.421346i | 0.818347 | − | 0.574725i | \(-0.194891\pi\) |
−0.0885533 | + | 0.996071i | \(0.528224\pi\) | |||||||
\(132\) | 5.08378 | − | 8.87478i | 0.442487 | − | 0.772450i | ||||
\(133\) | 7.24184 | + | 12.5432i | 0.627947 | + | 1.08764i | ||||
\(134\) | −1.31124 | −0.113273 | ||||||||
\(135\) | 0.971857 | + | 0.547988i | 0.0836441 | + | 0.0471633i | ||||
\(136\) | 9.61526 | − | 9.61526i | 0.824501 | − | 0.824501i | ||||
\(137\) | −10.8376 | − | 2.90394i | −0.925922 | − | 0.248100i | −0.235807 | − | 0.971800i | \(-0.575773\pi\) |
−0.690115 | + | 0.723700i | \(0.742440\pi\) | |||||||
\(138\) | 0.138071 | − | 0.241032i | 0.0117534 | − | 0.0205180i | ||||
\(139\) | 6.09520 | − | 10.5572i | 0.516988 | − | 0.895449i | −0.482818 | − | 0.875721i | \(-0.660387\pi\) |
0.999805 | − | 0.0197282i | \(-0.00628008\pi\) | |||||||
\(140\) | 0.625262 | − | 1.08299i | 0.0528443 | − | 0.0915290i | ||||
\(141\) | −0.0647196 | − | 19.0734i | −0.00545037 | − | 1.60627i | ||||
\(142\) | −1.26966 | + | 0.733040i | −0.106548 | + | 0.0615154i | ||||
\(143\) | 11.9337 | + | 0.189578i | 0.997944 | + | 0.0158533i | ||||
\(144\) | −7.17226 | − | 4.07626i | −0.597689 | − | 0.339689i | ||||
\(145\) | −0.713498 | + | 0.713498i | −0.0592527 | + | 0.0592527i | ||||
\(146\) | 0.856436 | − | 0.494464i | 0.0708792 | − | 0.0409221i | ||||
\(147\) | −1.61962 | + | 6.12759i | −0.133584 | + | 0.505395i | ||||
\(148\) | −0.680051 | − | 2.53798i | −0.0558998 | − | 0.208621i | ||||
\(149\) | −13.8418 | + | 3.70889i | −1.13396 | + | 0.303845i | −0.776521 | − | 0.630091i | \(-0.783018\pi\) |
−0.357442 | + | 0.933935i | \(0.616351\pi\) | |||||||
\(150\) | −3.44785 | + | 2.00625i | −0.281516 | + | 0.163809i | ||||
\(151\) | 5.32181 | − | 19.8613i | 0.433083 | − | 1.61629i | −0.312529 | − | 0.949908i | \(-0.601176\pi\) |
0.745612 | − | 0.666380i | \(-0.232157\pi\) | |||||||
\(152\) | − | 7.80396i | − | 0.632984i | ||||||
\(153\) | 20.0038 | − | 11.7309i | 1.61721 | − | 0.948390i | ||||
\(154\) | 3.55279 | + | 3.55279i | 0.286292 | + | 0.286292i | ||||
\(155\) | −0.0719816 | − | 0.124676i | −0.00578170 | − | 0.0100142i | ||||
\(156\) | 0.139154 | − | 11.1394i | 0.0111412 | − | 0.891862i | ||||
\(157\) | −1.84401 | + | 3.19392i | −0.147168 | + | 0.254903i | −0.930180 | − | 0.367104i | \(-0.880349\pi\) |
0.783012 | + | 0.622007i | \(0.213683\pi\) | |||||||
\(158\) | −3.43920 | + | 0.921532i | −0.273608 | + | 0.0733132i | ||||
\(159\) | −3.25071 | + | 0.882857i | −0.257798 | + | 0.0700151i | ||||
\(160\) | −0.891953 | + | 0.514969i | −0.0705150 | + | 0.0407119i | ||||
\(161\) | −0.796379 | − | 0.796379i | −0.0627634 | − | 0.0627634i | ||||
\(162\) | 2.99852 | + | 2.91821i | 0.235586 | + | 0.229276i | ||||
\(163\) | 1.38274 | + | 1.38274i | 0.108305 | + | 0.108305i | 0.759183 | − | 0.650878i | \(-0.225599\pi\) |
−0.650878 | + | 0.759183i | \(0.725599\pi\) | |||||||
\(164\) | 12.7974 | + | 3.42904i | 0.999307 | + | 0.267763i | ||||
\(165\) | −0.322659 | − | 1.18804i | −0.0251190 | − | 0.0924889i | ||||
\(166\) | 6.02536 | + | 3.47874i | 0.467659 | + | 0.270003i | ||||
\(167\) | 4.95130 | + | 18.4785i | 0.383143 | + | 1.42991i | 0.841073 | + | 0.540922i | \(0.181925\pi\) |
−0.457929 | + | 0.888989i | \(0.651409\pi\) | |||||||
\(168\) | 7.01020 | − | 7.05793i | 0.540848 | − | 0.544531i | ||||
\(169\) | 11.4591 | − | 6.13911i | 0.881470 | − | 0.472239i | ||||
\(170\) | − | 0.771627i | − | 0.0591811i | ||||||
\(171\) | 3.35723 | − | 12.8783i | 0.256734 | − | 0.984830i | ||||
\(172\) | −6.74213 | −0.514083 | ||||||||
\(173\) | −5.34228 | − | 9.25309i | −0.406166 | − | 0.703500i | 0.588291 | − | 0.808650i | \(-0.299801\pi\) |
−0.994456 | + | 0.105150i | \(0.966468\pi\) | |||||||
\(174\) | −3.27071 | + | 1.90317i | −0.247952 | + | 0.144279i | ||||
\(175\) | 4.18607 | + | 15.6226i | 0.316437 | + | 1.18096i | ||||
\(176\) | 2.35597 | + | 8.79260i | 0.177588 | + | 0.662767i | ||||
\(177\) | −14.3822 | + | 8.36875i | −1.08103 | + | 0.629034i | ||||
\(178\) | −0.641095 | − | 1.11041i | −0.0480521 | − | 0.0832287i | ||||
\(179\) | −2.19878 | −0.164344 | −0.0821722 | − | 0.996618i | \(-0.526186\pi\) | ||||
−0.0821722 | + | 0.996618i | \(0.526186\pi\) | |||||||
\(180\) | −1.10788 | + | 0.304929i | −0.0825766 | + | 0.0227281i | ||||
\(181\) | 15.8066i | 1.17490i | 0.809262 | + | 0.587448i | \(0.199867\pi\) | ||||
−0.809262 | + | 0.587448i | \(0.800133\pi\) | |||||||
\(182\) | 5.26303 | + | 1.50022i | 0.390122 | + | 0.111204i | ||||
\(183\) | −7.93862 | + | 7.99268i | −0.586840 | + | 0.590836i | ||||
\(184\) | 0.157061 | + | 0.586158i | 0.0115787 | + | 0.0432121i | ||||
\(185\) | −0.273893 | − | 0.158132i | −0.0201370 | − | 0.0116261i | ||||
\(186\) | −0.141504 | − | 0.521021i | −0.0103756 | − | 0.0382031i | ||||
\(187\) | −24.7159 | − | 6.62262i | −1.80741 | − | 0.484294i | ||||
\(188\) | 13.8904 | + | 13.8904i | 1.01306 | + | 1.01306i | ||||
\(189\) | 14.6047 | − | 8.63145i | 1.06234 | − | 0.627846i | ||||
\(190\) | −0.313135 | − | 0.313135i | −0.0227172 | − | 0.0227172i | ||||
\(191\) | 2.61567 | − | 1.51016i | 0.189264 | − | 0.109271i | −0.402374 | − | 0.915475i | \(-0.631815\pi\) |
0.591638 | + | 0.806204i | \(0.298482\pi\) | |||||||
\(192\) | 5.46543 | − | 1.48435i | 0.394434 | − | 0.107124i | ||||
\(193\) | 23.6950 | − | 6.34904i | 1.70560 | − | 0.457014i | 0.731261 | − | 0.682098i | \(-0.238932\pi\) |
0.974339 | + | 0.225084i | \(0.0722656\pi\) | |||||||
\(194\) | 0.630534 | − | 1.09212i | 0.0452697 | − | 0.0784094i | ||||
\(195\) | −0.936249 | − | 0.959936i | −0.0670462 | − | 0.0687425i | ||||
\(196\) | −3.26381 | − | 5.65308i | −0.233129 | − | 0.403792i | ||||
\(197\) | −14.6837 | − | 14.6837i | −1.04617 | − | 1.04617i | −0.998881 | − | 0.0472909i | \(-0.984941\pi\) |
−0.0472909 | − | 0.998881i | \(-0.515059\pi\) | |||||||
\(198\) | −0.0313311 | − | 4.61671i | −0.00222661 | − | 0.328095i | ||||
\(199\) | − | 14.7267i | − | 1.04395i | −0.852962 | − | 0.521973i | \(-0.825196\pi\) | ||
0.852962 | − | 0.521973i | \(-0.174804\pi\) | |||||||
\(200\) | 2.25550 | − | 8.41764i | 0.159488 | − | 0.595217i | ||||
\(201\) | 4.22234 | − | 2.45691i | 0.297821 | − | 0.173297i | ||||
\(202\) | 1.30541 | − | 0.349783i | 0.0918481 | − | 0.0246106i | ||||
\(203\) | 3.97100 | + | 14.8200i | 0.278710 | + | 1.04016i | ||||
\(204\) | −6.10319 | + | 23.0905i | −0.427309 | + | 1.61666i | ||||
\(205\) | 1.38106 | − | 0.797357i | 0.0964576 | − | 0.0556898i | ||||
\(206\) | 3.46263 | − | 3.46263i | 0.241253 | − | 0.241253i | ||||
\(207\) | 0.00702304 | + | 1.03486i | 0.000488135 | + | 0.0719279i | ||||
\(208\) | 6.89864 | + | 7.12136i | 0.478335 | + | 0.493777i | ||||
\(209\) | −12.7175 | + | 7.34247i | −0.879691 | + | 0.507890i | ||||
\(210\) | −0.00191541 | − | 0.564486i | −0.000132176 | − | 0.0389532i | ||||
\(211\) | 4.42529 | − | 7.66483i | 0.304650 | − | 0.527669i | −0.672534 | − | 0.740067i | \(-0.734794\pi\) |
0.977183 | + | 0.212398i | \(0.0681273\pi\) | |||||||
\(212\) | 1.73461 | − | 3.00444i | 0.119134 | − | 0.206346i | ||||
\(213\) | 2.71495 | − | 4.73950i | 0.186025 | − | 0.324745i | ||||
\(214\) | 3.55043 | + | 0.951334i | 0.242702 | + | 0.0650318i | ||||
\(215\) | −0.573836 | + | 0.573836i | −0.0391353 | + | 0.0391353i | ||||
\(216\) | −9.14027 | + | 0.0930469i | −0.621917 | + | 0.00633104i | ||||
\(217\) | −2.18901 | −0.148600 | ||||||||
\(218\) | −0.970216 | − | 1.68046i | −0.0657113 | − | 0.113815i | ||||
\(219\) | −1.83134 | + | 3.19697i | −0.123750 | + | 0.216031i | ||||
\(220\) | 1.09804 | + | 0.633952i | 0.0740296 | + | 0.0427410i | ||||
\(221\) | −27.0322 | + | 6.78494i | −1.81838 | + | 0.456405i | ||||
\(222\) | −0.841515 | − | 0.835824i | −0.0564788 | − | 0.0560968i | ||||
\(223\) | 21.9597 | + | 5.88408i | 1.47053 | + | 0.394027i | 0.903113 | − | 0.429404i | \(-0.141276\pi\) |
0.567416 | + | 0.823431i | \(0.307943\pi\) | |||||||
\(224\) | 15.6606i | 1.04637i | ||||||||
\(225\) | 7.34333 | − | 12.9207i | 0.489555 | − | 0.861382i | ||||
\(226\) | −5.10584 | + | 5.10584i | −0.339635 | + | 0.339635i | ||||
\(227\) | 1.66843 | − | 6.22667i | 0.110738 | − | 0.413279i | −0.888195 | − | 0.459467i | \(-0.848041\pi\) |
0.998933 | + | 0.0461877i | \(0.0147072\pi\) | |||||||
\(228\) | 6.89366 | + | 11.8471i | 0.456544 | + | 0.784597i | ||||
\(229\) | −6.39707 | + | 1.71409i | −0.422730 | + | 0.113270i | −0.463912 | − | 0.885881i | \(-0.653555\pi\) |
0.0411814 | + | 0.999152i | \(0.486888\pi\) | |||||||
\(230\) | 0.0298218 | + | 0.0172176i | 0.00196639 | + | 0.00113529i | ||||
\(231\) | −18.0975 | − | 4.78344i | −1.19072 | − | 0.314727i | ||||
\(232\) | 2.13962 | − | 7.98516i | 0.140473 | − | 0.524252i | ||||
\(233\) | 1.84502 | 0.120872 | 0.0604358 | − | 0.998172i | \(-0.480751\pi\) | ||||
0.0604358 | + | 0.998172i | \(0.480751\pi\) | |||||||
\(234\) | −2.47463 | − | 4.37769i | −0.161772 | − | 0.286179i | ||||
\(235\) | 2.36449 | 0.154242 | ||||||||
\(236\) | 4.43553 | − | 16.5536i | 0.288728 | − | 1.07755i | ||||
\(237\) | 9.34796 | − | 9.41162i | 0.607215 | − | 0.611350i | ||||
\(238\) | −10.1610 | − | 5.86643i | −0.658637 | − | 0.380264i | ||||
\(239\) | 6.75550 | − | 1.81013i | 0.436977 | − | 0.117088i | −0.0336225 | − | 0.999435i | \(-0.510704\pi\) |
0.470599 | + | 0.882347i | \(0.344038\pi\) | |||||||
\(240\) | 0.508337 | − | 0.887405i | 0.0328130 | − | 0.0572818i | ||||
\(241\) | −7.22767 | + | 26.9740i | −0.465575 | + | 1.73755i | 0.189400 | + | 0.981900i | \(0.439346\pi\) |
−0.654976 | + | 0.755650i | \(0.727321\pi\) | |||||||
\(242\) | 0.0139454 | − | 0.0139454i | 0.000896443 | − | 0.000896443i | ||||
\(243\) | −15.1236 | − | 3.77856i | −0.970178 | − | 0.242395i | ||||
\(244\) | − | 11.6022i | − | 0.742753i | ||||||
\(245\) | −0.758934 | − | 0.203356i | −0.0484865 | − | 0.0129919i | ||||
\(246\) | 5.77147 | − | 1.56747i | 0.367975 | − | 0.0999382i | ||||
\(247\) | −8.21657 | + | 13.7234i | −0.522808 | + | 0.873198i | ||||
\(248\) | 1.02144 | + | 0.589731i | 0.0648618 | + | 0.0374480i | ||||
\(249\) | −25.9207 | + | 0.0879537i | −1.64266 | + | 0.00557384i | ||||
\(250\) | −0.496815 | − | 0.860509i | −0.0314213 | − | 0.0544233i | ||||
\(251\) | 11.7155 | 0.739473 | 0.369737 | − | 0.929137i | \(-0.379448\pi\) | ||||
0.369737 | + | 0.929137i | \(0.379448\pi\) | |||||||
\(252\) | −4.40749 | + | 16.9071i | −0.277646 | + | 1.06505i | ||||
\(253\) | 0.807446 | − | 0.807446i | 0.0507637 | − | 0.0507637i | ||||
\(254\) | −5.44891 | − | 1.46003i | −0.341895 | − | 0.0916105i | ||||
\(255\) | 1.44583 | + | 2.48474i | 0.0905412 | + | 0.155600i | ||||
\(256\) | −0.686397 | + | 1.18887i | −0.0428998 | + | 0.0743046i | ||||
\(257\) | 7.37172 | − | 12.7682i | 0.459835 | − | 0.796458i | −0.539117 | − | 0.842231i | \(-0.681242\pi\) |
0.998952 | + | 0.0457732i | \(0.0145752\pi\) | |||||||
\(258\) | −2.63049 | + | 1.53064i | −0.163767 | + | 0.0952935i | ||||
\(259\) | −4.16464 | + | 2.40446i | −0.258778 | + | 0.149406i | ||||
\(260\) | 1.38085 | + | 0.0219361i | 0.0856365 | + | 0.00136042i | ||||
\(261\) | 6.96605 | − | 12.2569i | 0.431187 | − | 0.758683i | ||||
\(262\) | −3.17069 | + | 3.17069i | −0.195886 | + | 0.195886i | ||||
\(263\) | −24.2747 | + | 14.0150i | −1.49684 | + | 0.864204i | −0.999993 | − | 0.00363177i | \(-0.998844\pi\) |
−0.496851 | + | 0.867836i | \(0.665511\pi\) | |||||||
\(264\) | 7.15602 | + | 7.10762i | 0.440422 | + | 0.437444i | ||||
\(265\) | −0.108077 | − | 0.403350i | −0.00663913 | − | 0.0247776i | ||||
\(266\) | −6.50409 | + | 1.74277i | −0.398792 | + | 0.106856i | ||||
\(267\) | 4.14502 | + | 2.37441i | 0.253671 | + | 0.145312i | ||||
\(268\) | −1.30219 | + | 4.85984i | −0.0795439 | + | 0.296862i | ||||
\(269\) | 19.9944i | 1.21908i | 0.792755 | + | 0.609541i | \(0.208646\pi\) | ||||
−0.792755 | + | 0.609541i | \(0.791354\pi\) | |||||||
\(270\) | −0.363021 | + | 0.370488i | −0.0220928 | + | 0.0225472i | ||||
\(271\) | −12.5200 | − | 12.5200i | −0.760537 | − | 0.760537i | 0.215883 | − | 0.976419i | \(-0.430737\pi\) |
−0.976419 | + | 0.215883i | \(0.930737\pi\) | |||||||
\(272\) | −10.6283 | − | 18.4087i | −0.644433 | − | 1.11619i | ||||
\(273\) | −19.7586 | + | 5.03065i | −1.19585 | + | 0.304468i | ||||
\(274\) | 2.60811 | − | 4.51737i | 0.157561 | − | 0.272904i | ||||
\(275\) | −15.8397 | + | 4.24425i | −0.955172 | + | 0.255938i | ||||
\(276\) | −0.756218 | − | 0.751103i | −0.0455190 | − | 0.0452111i | ||||
\(277\) | −0.965871 | + | 0.557646i | −0.0580335 | + | 0.0335057i | −0.528736 | − | 0.848786i | \(-0.677334\pi\) |
0.470702 | + | 0.882292i | \(0.344001\pi\) | |||||||
\(278\) | 4.00744 | + | 4.00744i | 0.240350 | + | 0.240350i | ||||
\(279\) | 1.43192 | + | 1.41261i | 0.0857267 | + | 0.0845710i | ||||
\(280\) | 0.871998 | + | 0.871998i | 0.0521118 | + | 0.0521118i | ||||
\(281\) | 8.07093 | + | 2.16260i | 0.481471 | + | 0.129010i | 0.491388 | − | 0.870941i | \(-0.336490\pi\) |
−0.00991630 | + | 0.999951i | \(0.503157\pi\) | |||||||
\(282\) | 8.57295 | + | 2.26597i | 0.510512 | + | 0.134936i | ||||
\(283\) | −10.6136 | − | 6.12777i | −0.630914 | − | 0.364258i | 0.150192 | − | 0.988657i | \(-0.452011\pi\) |
−0.781106 | + | 0.624399i | \(0.785344\pi\) | |||||||
\(284\) | 1.45597 | + | 5.43374i | 0.0863957 | + | 0.322433i | ||||
\(285\) | 1.59507 | + | 0.421601i | 0.0944836 | + | 0.0249735i | ||||
\(286\) | −1.52107 | + | 5.33617i | −0.0899426 | + | 0.315534i | ||||
\(287\) | − | 24.2482i | − | 1.43132i | ||||||
\(288\) | 10.1061 | − | 10.2442i | 0.595507 | − | 0.603644i | ||||
\(289\) | 42.7520 | 2.51482 | ||||||||
\(290\) | −0.234553 | − | 0.406258i | −0.0137735 | − | 0.0238563i | ||||
\(291\) | 0.0159419 | + | 4.69821i | 0.000934531 | + | 0.275414i | ||||
\(292\) | −0.982105 | − | 3.66527i | −0.0574734 | − | 0.214494i | ||||
\(293\) | 3.24254 | + | 12.1013i | 0.189431 | + | 0.706967i | 0.993638 | + | 0.112618i | \(0.0359236\pi\) |
−0.804207 | + | 0.594349i | \(0.797410\pi\) | |||||||
\(294\) | −2.55680 | − | 1.46462i | −0.149115 | − | 0.0854185i | ||||
\(295\) | −1.03139 | − | 1.78643i | −0.0600501 | − | 0.104010i | ||||
\(296\) | 2.59109 | 0.150604 | ||||||||
\(297\) | 8.75140 | + | 14.8077i | 0.507808 | + | 0.859229i | ||||
\(298\) | − | 6.66212i | − | 0.385926i | ||||||
\(299\) | 0.340956 | − | 1.19613i | 0.0197180 | − | 0.0691741i | ||||
\(300\) | 4.01170 | + | 14.7712i | 0.231615 | + | 0.852815i | ||||
\(301\) | 3.19371 | + | 11.9191i | 0.184082 | + | 0.687005i | ||||
\(302\) | 8.27863 | + | 4.77967i | 0.476382 | + | 0.275039i | ||||
\(303\) | −3.54817 | + | 3.57234i | −0.203837 | + | 0.205225i | ||||
\(304\) | −11.7835 | − | 3.15738i | −0.675831 | − | 0.181088i | ||||
\(305\) | −0.987484 | − | 0.987484i | −0.0565432 | − | 0.0565432i | ||||
\(306\) | 2.86095 | + | 10.3945i | 0.163550 | + | 0.594216i | ||||
\(307\) | −19.0486 | − | 19.0486i | −1.08716 | − | 1.08716i | −0.995820 | − | 0.0913429i | \(-0.970884\pi\) |
−0.0913429 | − | 0.995820i | \(-0.529116\pi\) | |||||||
\(308\) | 16.6960 | − | 9.63945i | 0.951344 | − | 0.549259i | ||||
\(309\) | −4.66205 | + | 17.6382i | −0.265215 | + | 1.00340i | ||||
\(310\) | 0.0646487 | − | 0.0173226i | 0.00367180 | − | 0.000983856i | ||||
\(311\) | 7.87859 | − | 13.6461i | 0.446754 | − | 0.773801i | −0.551419 | − | 0.834229i | \(-0.685913\pi\) |
0.998173 | + | 0.0604281i | \(0.0192466\pi\) | |||||||
\(312\) | 10.5751 | + | 2.97566i | 0.598699 | + | 0.168464i | ||||
\(313\) | −13.9012 | − | 24.0775i | −0.785740 | − | 1.36094i | −0.928556 | − | 0.371193i | \(-0.878949\pi\) |
0.142816 | − | 0.989749i | \(-0.454384\pi\) | |||||||
\(314\) | −1.21239 | − | 1.21239i | −0.0684192 | − | 0.0684192i | ||||
\(315\) | 1.06387 | + | 1.81413i | 0.0599421 | + | 0.102214i | ||||
\(316\) | 13.6619i | 0.768543i | ||||||||
\(317\) | −1.02375 | + | 3.82068i | −0.0574995 | + | 0.214591i | −0.988698 | − | 0.149922i | \(-0.952098\pi\) |
0.931198 | + | 0.364513i | \(0.118764\pi\) | |||||||
\(318\) | −0.00531375 | − | 1.56601i | −0.000297980 | − | 0.0878172i | ||||
\(319\) | −15.0259 | + | 4.02619i | −0.841290 | + | 0.225423i | ||||
\(320\) | 0.181711 | + | 0.678154i | 0.0101579 | + | 0.0379100i | ||||
\(321\) | −13.2154 | + | 3.58915i | −0.737610 | + | 0.200327i | ||||
\(322\) | 0.453450 | − | 0.261800i | 0.0252698 | − | 0.0145895i | ||||
\(323\) | 24.2480 | − | 24.2480i | 1.34920 | − | 1.34920i | ||||
\(324\) | 13.7936 | − | 8.21535i | 0.766312 | − | 0.456408i | ||||
\(325\) | −12.8290 | + | 12.4278i | −0.711626 | + | 0.689370i | ||||
\(326\) | −0.787320 | + | 0.454559i | −0.0436056 | + | 0.0251757i | ||||
\(327\) | 6.27297 | + | 3.59337i | 0.346896 | + | 0.198714i | ||||
\(328\) | −6.53258 | + | 11.3148i | −0.360702 | + | 0.624754i | ||||
\(329\) | 17.9764 | − | 31.1361i | 0.991072 | − | 1.71659i | ||||
\(330\) | 0.572331 | − | 0.00194203i | 0.0315058 | − | 0.000106905i | ||||
\(331\) | 16.5621 | + | 4.43780i | 0.910336 | + | 0.243924i | 0.683450 | − | 0.729997i | \(-0.260479\pi\) |
0.226886 | + | 0.973921i | \(0.427145\pi\) | |||||||
\(332\) | 18.8771 | − | 18.8771i | 1.03601 | − | 1.03601i | ||||
\(333\) | 4.27590 | + | 1.11468i | 0.234318 | + | 0.0610840i | ||||
\(334\) | −8.89381 | −0.486647 | ||||||||
\(335\) | 0.302798 | + | 0.524462i | 0.0165436 | + | 0.0286544i | ||||
\(336\) | −7.82083 | − | 13.4405i | −0.426661 | − | 0.733242i | ||||
\(337\) | −0.623289 | − | 0.359856i | −0.0339527 | − | 0.0196026i | 0.482928 | − | 0.875660i | \(-0.339573\pi\) |
−0.516880 | + | 0.856058i | \(0.672907\pi\) | |||||||
\(338\) | 1.37802 | + | 5.88457i | 0.0749544 | + | 0.320078i | ||||
\(339\) | 6.87444 | − | 26.0085i | 0.373368 | − | 1.41259i | ||||
\(340\) | −2.85989 | − | 0.766304i | −0.155099 | − | 0.0415587i | ||||
\(341\) | − | 2.21943i | − | 0.120189i | ||||||
\(342\) | 5.37922 | + | 3.05721i | 0.290875 | + | 0.165315i | ||||
\(343\) | 7.71243 | − | 7.71243i | 0.416432 | − | 0.416432i | ||||
\(344\) | 1.72081 | − | 6.42213i | 0.0927796 | − | 0.346258i | ||||
\(345\) | −0.128291 | 0.000435316i | −0.00690696 | 2.34366e-5i | ||||||
\(346\) | 4.79805 | − | 1.28563i | 0.257945 | − | 0.0691160i | ||||
\(347\) | −20.2064 | − | 11.6662i | −1.08474 | − | 0.626274i | −0.152568 | − | 0.988293i | \(-0.548754\pi\) |
−0.932171 | + | 0.362019i | \(0.882088\pi\) | |||||||
\(348\) | 3.80558 | + | 14.0123i | 0.204001 | + | 0.751137i | ||||
\(349\) | −3.91392 | + | 14.6069i | −0.209507 | + | 0.781892i | 0.778521 | + | 0.627619i | \(0.215970\pi\) |
−0.988028 | + | 0.154273i | \(0.950696\pi\) | |||||||
\(350\) | −7.51925 | −0.401921 | ||||||||
\(351\) | 16.1713 | + | 9.45991i | 0.863159 | + | 0.504933i | ||||
\(352\) | −15.8782 | −0.846311 | ||||||||
\(353\) | −8.51619 | + | 31.7828i | −0.453271 | + | 1.69163i | 0.239851 | + | 0.970810i | \(0.422901\pi\) |
−0.693122 | + | 0.720820i | \(0.743765\pi\) | |||||||
\(354\) | −2.02755 | − | 7.46549i | −0.107763 | − | 0.396786i | ||||
\(355\) | 0.586397 | + | 0.338556i | 0.0311227 | + | 0.0179687i | ||||
\(356\) | −4.75219 | + | 1.27334i | −0.251865 | + | 0.0674871i | ||||
\(357\) | 43.7117 | − | 0.148322i | 2.31347 | − | 0.00785004i | ||||
\(358\) | 0.264571 | − | 0.987392i | 0.0139830 | − | 0.0521853i | ||||
\(359\) | 12.6798 | − | 12.6798i | 0.669217 | − | 0.669217i | −0.288318 | − | 0.957535i | \(-0.593096\pi\) |
0.957535 | + | 0.288318i | \(0.0930960\pi\) | |||||||
\(360\) | −0.00768991 | − | 1.13313i | −0.000405294 | − | 0.0597210i | ||||
\(361\) | − | 0.680234i | − | 0.0358018i | ||||||
\(362\) | −7.09818 | − | 1.90195i | −0.373072 | − | 0.0999643i | ||||
\(363\) | −0.0187759 | + | 0.0710359i | −0.000985479 | + | 0.00372842i | ||||
\(364\) | 10.7870 | − | 18.0165i | 0.565392 | − | 0.944322i | ||||
\(365\) | −0.395547 | − | 0.228369i | −0.0207039 | − | 0.0119534i | ||||
\(366\) | −2.63400 | − | 4.52668i | −0.137681 | − | 0.236613i | ||||
\(367\) | 11.1709 | + | 19.3485i | 0.583114 | + | 1.00998i | 0.995108 | + | 0.0987961i | \(0.0314992\pi\) |
−0.411994 | + | 0.911187i | \(0.635167\pi\) | |||||||
\(368\) | 0.948609 | 0.0494497 | ||||||||
\(369\) | −15.6478 | + | 15.8617i | −0.814594 | + | 0.825726i | ||||
\(370\) | 0.103968 | − | 0.103968i | 0.00540504 | − | 0.00540504i | ||||
\(371\) | −6.13307 | − | 1.64335i | −0.318413 | − | 0.0853186i | ||||
\(372\) | −2.07159 | + | 0.00702930i | −0.107407 | + | 0.000364452i | ||||
\(373\) | −0.438487 | + | 0.759482i | −0.0227040 | + | 0.0393245i | −0.877154 | − | 0.480209i | \(-0.840561\pi\) |
0.854450 | + | 0.519533i | \(0.173894\pi\) | |||||||
\(374\) | 5.94796 | − | 10.3022i | 0.307561 | − | 0.532712i | ||||
\(375\) | 3.21217 | + | 1.84005i | 0.165876 | + | 0.0950195i | ||||
\(376\) | −16.7764 | + | 9.68588i | −0.865179 | + | 0.499511i | ||||
\(377\) | −12.1699 | + | 11.7893i | −0.626782 | + | 0.607179i | ||||
\(378\) | 2.11874 | + | 7.59705i | 0.108976 | + | 0.390750i | ||||
\(379\) | 3.65431 | − | 3.65431i | 0.187709 | − | 0.187709i | −0.606996 | − | 0.794705i | \(-0.707626\pi\) |
0.794705 | + | 0.606996i | \(0.207626\pi\) | |||||||
\(380\) | −1.47155 | + | 0.849599i | −0.0754888 | + | 0.0435835i | ||||
\(381\) | 20.2819 | − | 5.50835i | 1.03907 | − | 0.282201i | ||||
\(382\) | 0.363424 | + | 1.35632i | 0.0185944 | + | 0.0693952i | ||||
\(383\) | 1.84116 | − | 0.493339i | 0.0940791 | − | 0.0252084i | −0.211472 | − | 0.977384i | \(-0.567826\pi\) |
0.305552 | + | 0.952176i | \(0.401159\pi\) | |||||||
\(384\) | 0.0653160 | + | 19.2491i | 0.00333314 | + | 0.982304i | ||||
\(385\) | 0.600599 | − | 2.24146i | 0.0306093 | − | 0.114236i | ||||
\(386\) | 11.4045i | 0.580474i | ||||||||
\(387\) | 5.60250 | − | 9.85771i | 0.284791 | − | 0.501096i | ||||
\(388\) | −3.42153 | − | 3.42153i | −0.173702 | − | 0.173702i | ||||
\(389\) | 11.9704 | + | 20.7334i | 0.606925 | + | 1.05122i | 0.991744 | + | 0.128232i | \(0.0409304\pi\) |
−0.384819 | + | 0.922992i | \(0.625736\pi\) | |||||||
\(390\) | 0.543728 | − | 0.304930i | 0.0275327 | − | 0.0154407i | ||||
\(391\) | −1.33327 | + | 2.30929i | −0.0674262 | + | 0.116786i | ||||
\(392\) | 6.21780 | − | 1.66605i | 0.314046 | − | 0.0841485i | ||||
\(393\) | 4.26898 | − | 16.1511i | 0.215342 | − | 0.814714i | ||||
\(394\) | 8.36077 | − | 4.82709i | 0.421209 | − | 0.243185i | ||||
\(395\) | 1.16279 | + | 1.16279i | 0.0585064 | + | 0.0585064i | ||||
\(396\) | −17.1421 | − | 4.46874i | −0.861421 | − | 0.224563i | ||||
\(397\) | 13.9863 | + | 13.9863i | 0.701953 | + | 0.701953i | 0.964829 | − | 0.262877i | \(-0.0846713\pi\) |
−0.262877 | + | 0.964829i | \(0.584671\pi\) | |||||||
\(398\) | 6.61322 | + | 1.77201i | 0.331491 | + | 0.0888227i | ||||
\(399\) | 17.6785 | − | 17.7989i | 0.885032 | − | 0.891059i | ||||
\(400\) | −11.7976 | − | 6.81135i | −0.589880 | − | 0.340567i | ||||
\(401\) | 2.66203 | + | 9.93483i | 0.132935 | + | 0.496121i | 0.999998 | − | 0.00207791i | \(-0.000661419\pi\) |
−0.867062 | + | 0.498199i | \(0.833995\pi\) | |||||||
\(402\) | 0.595251 | + | 2.19173i | 0.0296884 | + | 0.109314i | ||||
\(403\) | −1.17531 | − | 2.11250i | −0.0585466 | − | 0.105231i | ||||
\(404\) | − | 5.18561i | − | 0.257994i | ||||||
\(405\) | 0.474776 | − | 1.87323i | 0.0235918 | − | 0.0930814i | ||||
\(406\) | −7.13293 | −0.354001 | ||||||||
\(407\) | −2.43787 | − | 4.22252i | −0.120841 | − | 0.209302i | ||||
\(408\) | −20.4369 | − | 11.7070i | −1.01178 | − | 0.579581i | ||||
\(409\) | −1.10101 | − | 4.10902i | −0.0544413 | − | 0.203178i | 0.933348 | − | 0.358973i | \(-0.116873\pi\) |
−0.987789 | + | 0.155795i | \(0.950206\pi\) | |||||||
\(410\) | 0.191886 | + | 0.716128i | 0.00947657 | + | 0.0353670i | ||||
\(411\) | 0.0659412 | + | 19.4334i | 0.00325264 | + | 0.958579i | ||||
\(412\) | −9.39483 | − | 16.2723i | −0.462850 | − | 0.801680i | ||||
\(413\) | −31.3654 | −1.54339 | ||||||||
\(414\) | −0.465564 | − | 0.121367i | −0.0228812 | − | 0.00596488i | ||||
\(415\) | − | 3.21333i | − | 0.157736i | ||||||
\(416\) | −15.1132 | + | 8.40840i | −0.740986 | + | 0.412256i | ||||
\(417\) | −20.4133 | − | 5.39557i | −0.999646 | − | 0.264222i | ||||
\(418\) | −1.76699 | − | 6.59448i | −0.0864261 | − | 0.322547i | ||||
\(419\) | 7.63390 | + | 4.40744i | 0.372941 | + | 0.215317i | 0.674742 | − | 0.738053i | \(-0.264255\pi\) |
−0.301802 | + | 0.953371i | \(0.597588\pi\) | |||||||
\(420\) | −2.09406 | − | 0.553493i | −0.102180 | − | 0.0270077i | ||||
\(421\) | 17.1986 | + | 4.60836i | 0.838210 | + | 0.224598i | 0.652292 | − | 0.757968i | \(-0.273808\pi\) |
0.185918 | + | 0.982565i | \(0.440474\pi\) | |||||||
\(422\) | 2.90952 | + | 2.90952i | 0.141633 | + | 0.141633i | ||||
\(423\) | −31.8518 | + | 8.76677i | −1.54869 | + | 0.426255i | ||||
\(424\) | 2.41911 | + | 2.41911i | 0.117482 | + | 0.117482i | ||||
\(425\) | 33.1630 | − | 19.1467i | 1.60864 | − | 0.928749i | ||||
\(426\) | 1.80166 | + | 1.78947i | 0.0872906 | + | 0.0867002i | ||||
\(427\) | −20.5109 | + | 5.49589i | −0.992593 | + | 0.265965i | ||||
\(428\) | 7.05186 | − | 12.2142i | 0.340865 | − | 0.590395i | ||||
\(429\) | −5.10056 | − | 20.0332i | −0.246257 | − | 0.967213i | ||||
\(430\) | −0.188642 | − | 0.326737i | −0.00909710 | − | 0.0157566i | ||||
\(431\) | 7.53625 | + | 7.53625i | 0.363008 | + | 0.363008i | 0.864919 | − | 0.501911i | \(-0.167369\pi\) |
−0.501911 | + | 0.864919i | \(0.667369\pi\) | |||||||
\(432\) | −3.55755 | + | 13.8389i | −0.171162 | + | 0.665825i | ||||
\(433\) | 6.91846i | 0.332480i | 0.986085 | + | 0.166240i | \(0.0531626\pi\) | ||||
−0.986085 | + | 0.166240i | \(0.946837\pi\) | |||||||
\(434\) | 0.263396 | − | 0.983006i | 0.0126434 | − | 0.0471858i | ||||
\(435\) | 1.51651 | + | 0.868712i | 0.0727112 | + | 0.0416515i | ||||
\(436\) | −7.19183 | + | 1.92705i | −0.344426 | + | 0.0922888i | ||||
\(437\) | 0.396080 | + | 1.47819i | 0.0189471 | + | 0.0707114i | ||||
\(438\) | −1.21529 | − | 1.20707i | −0.0580687 | − | 0.0576759i | ||||
\(439\) | −4.58990 | + | 2.64998i | −0.219064 | + | 0.126477i | −0.605517 | − | 0.795832i | \(-0.707034\pi\) |
0.386453 | + | 0.922309i | \(0.373700\pi\) | |||||||
\(440\) | −0.884116 | + | 0.884116i | −0.0421486 | + | 0.0421486i | ||||
\(441\) | 10.9775 | − | 0.0744985i | 0.522739 | − | 0.00354755i | ||||
\(442\) | 0.205812 | − | 12.9556i | 0.00978948 | − | 0.616235i | ||||
\(443\) | −10.6504 | + | 6.14899i | −0.506014 | + | 0.292147i | −0.731194 | − | 0.682170i | \(-0.761036\pi\) |
0.225180 | + | 0.974317i | \(0.427703\pi\) | |||||||
\(444\) | −3.93353 | + | 2.28885i | −0.186677 | + | 0.108624i | ||||
\(445\) | −0.296091 | + | 0.512845i | −0.0140361 | + | 0.0243112i | ||||
\(446\) | −5.28465 | + | 9.15329i | −0.250236 | + | 0.433421i | ||||
\(447\) | 12.4831 | + | 21.4529i | 0.590429 | + | 1.01469i | ||||
\(448\) | 10.3116 | + | 2.76298i | 0.487176 | + | 0.130538i | ||||
\(449\) | −20.5476 | + | 20.5476i | −0.969701 | + | 0.969701i | −0.999554 | − | 0.0298537i | \(-0.990496\pi\) |
0.0298537 | + | 0.999554i | \(0.490496\pi\) | |||||||
\(450\) | 4.91864 | + | 4.85233i | 0.231867 | + | 0.228741i | ||||
\(451\) | 24.5851 | 1.15767 | ||||||||
\(452\) | 13.8532 | + | 23.9944i | 0.651599 | + | 1.12860i | ||||
\(453\) | −35.6141 | + | 0.120845i | −1.67330 | + | 0.00567781i | ||||
\(454\) | 2.59542 | + | 1.49847i | 0.121809 | + | 0.0703265i | ||||
\(455\) | −0.615320 | − | 2.45152i | −0.0288466 | − | 0.114929i | ||||
\(456\) | −13.0443 | + | 3.54270i | −0.610857 | + | 0.165902i | ||||
\(457\) | −24.4401 | − | 6.54871i | −1.14326 | − | 0.306336i | −0.362999 | − | 0.931789i | \(-0.618247\pi\) |
−0.780261 | + | 0.625454i | \(0.784914\pi\) | |||||||
\(458\) | − | 3.07894i | − | 0.143870i | ||||||
\(459\) | −28.6893 | − | 28.1110i | −1.33910 | − | 1.31211i | ||||
\(460\) | 0.0934297 | − | 0.0934297i | 0.00435618 | − | 0.00435618i | ||||
\(461\) | 4.71321 | − | 17.5899i | 0.219516 | − | 0.819245i | −0.765012 | − | 0.644017i | \(-0.777267\pi\) |
0.984528 | − | 0.175229i | \(-0.0560665\pi\) | |||||||
\(462\) | 4.32567 | − | 7.55134i | 0.201248 | − | 0.351320i | ||||
\(463\) | 22.9719 | − | 6.15531i | 1.06760 | − | 0.286061i | 0.318091 | − | 0.948060i | \(-0.396958\pi\) |
0.749505 | + | 0.661999i | \(0.230292\pi\) | |||||||
\(464\) | −11.1915 | − | 6.46140i | −0.519551 | − | 0.299963i | ||||
\(465\) | −0.175719 | + | 0.176916i | −0.00814877 | + | 0.00820426i | ||||
\(466\) | −0.222005 | + | 0.828534i | −0.0102842 | + | 0.0383811i | ||||
\(467\) | −10.0356 | −0.464394 | −0.232197 | − | 0.972669i | \(-0.574591\pi\) | ||||
−0.232197 | + | 0.972669i | \(0.574591\pi\) | |||||||
\(468\) | −18.6826 | + | 4.82425i | −0.863604 | + | 0.223001i | ||||
\(469\) | 9.20831 | 0.425200 | ||||||||
\(470\) | −0.284510 | + | 1.06180i | −0.0131235 | + | 0.0489774i | ||||
\(471\) | 6.17576 | + | 1.63235i | 0.284564 | + | 0.0752147i | ||||
\(472\) | 14.6358 | + | 8.45001i | 0.673669 | + | 0.388943i | ||||
\(473\) | −12.0847 | + | 3.23809i | −0.555656 | + | 0.148888i | ||||
\(474\) | 3.10161 | + | 5.33030i | 0.142462 | + | 0.244829i | ||||
\(475\) | 5.68798 | − | 21.2278i | 0.260983 | − | 0.974000i | ||||
\(476\) | −31.8336 | + | 31.8336i | −1.45909 | + | 1.45909i | ||||
\(477\) | 2.95139 | + | 5.03278i | 0.135135 | + | 0.230435i | ||||
\(478\) | 3.25146i | 0.148718i | ||||||||
\(479\) | −17.1423 | − | 4.59327i | −0.783252 | − | 0.209872i | −0.155034 | − | 0.987909i | \(-0.549549\pi\) |
−0.628218 | + | 0.778037i | \(0.716215\pi\) | |||||||
\(480\) | 1.26568 | + | 1.25712i | 0.0577703 | + | 0.0573796i | ||||
\(481\) | −4.55648 | − | 2.72809i | −0.207758 | − | 0.124390i | ||||
\(482\) | −11.2434 | − | 6.49137i | −0.512122 | − | 0.295674i | ||||
\(483\) | −0.969623 | + | 1.69267i | −0.0441194 | + | 0.0770193i | ||||
\(484\) | −0.0378367 | − | 0.0655350i | −0.00171985 | − | 0.00297886i | ||||
\(485\) | −0.582427 | −0.0264466 | ||||||||
\(486\) | 3.51658 | − | 6.33679i | 0.159515 | − | 0.287443i | ||||
\(487\) | −11.1554 | + | 11.1554i | −0.505498 | + | 0.505498i | −0.913141 | − | 0.407643i | \(-0.866351\pi\) |
0.407643 | + | 0.913141i | \(0.366351\pi\) | |||||||
\(488\) | 11.0515 | + | 2.96124i | 0.500278 | + | 0.134049i | ||||
\(489\) | 1.68354 | − | 2.93897i | 0.0761325 | − | 0.132905i | ||||
\(490\) | 0.182640 | − | 0.316341i | 0.00825081 | − | 0.0142908i | ||||
\(491\) | 1.80111 | − | 3.11961i | 0.0812829 | − | 0.140786i | −0.822518 | − | 0.568739i | \(-0.807432\pi\) |
0.903801 | + | 0.427952i | \(0.140765\pi\) | |||||||
\(492\) | −0.0778651 | − | 22.9475i | −0.00351043 | − | 1.03455i | ||||
\(493\) | 31.4591 | − | 18.1629i | 1.41685 | − | 0.818018i | ||||
\(494\) | −5.17400 | − | 5.34105i | −0.232789 | − | 0.240305i | ||||
\(495\) | −1.83934 | + | 1.07865i | −0.0826721 | + | 0.0484818i | ||||
\(496\) | 1.30372 | − | 1.30372i | 0.0585389 | − | 0.0585389i | ||||
\(497\) | 8.91636 | − | 5.14786i | 0.399954 | − | 0.230913i | ||||
\(498\) | 3.07944 | − | 11.6506i | 0.137993 | − | 0.522077i | ||||
\(499\) | −2.31094 | − | 8.62453i | −0.103452 | − | 0.386087i | 0.894713 | − | 0.446641i | \(-0.147380\pi\) |
−0.998165 | + | 0.0605540i | \(0.980713\pi\) | |||||||
\(500\) | −3.68269 | + | 0.986775i | −0.164695 | + | 0.0441299i | ||||
\(501\) | 28.6392 | − | 16.6647i | 1.27950 | − | 0.744522i | ||||
\(502\) | −1.40968 | + | 5.26099i | −0.0629170 | + | 0.234809i | ||||
\(503\) | 26.0109i | 1.15977i | 0.814700 | + | 0.579883i | \(0.196902\pi\) | ||||
−0.814700 | + | 0.579883i | \(0.803098\pi\) | |||||||
\(504\) | −14.9797 | − | 8.51352i | −0.667249 | − | 0.379222i | ||||
\(505\) | −0.441357 | − | 0.441357i | −0.0196401 | − | 0.0196401i | ||||
\(506\) | 0.265438 | + | 0.459752i | 0.0118001 | + | 0.0204385i | ||||
\(507\) | −15.4635 | − | 16.3670i | −0.686760 | − | 0.726884i | ||||
\(508\) | −10.8226 | + | 18.7454i | −0.480177 | + | 0.831691i | ||||
\(509\) | 22.6540 | − | 6.07013i | 1.00412 | − | 0.269054i | 0.280951 | − | 0.959722i | \(-0.409350\pi\) |
0.723172 | + | 0.690668i | \(0.242684\pi\) | |||||||
\(510\) | −1.28978 | + | 0.350290i | −0.0571123 | + | 0.0155111i | ||||
\(511\) | −6.01443 | + | 3.47243i | −0.266063 | + | 0.153611i | ||||
\(512\) | −16.1682 | − | 16.1682i | −0.714542 | − | 0.714542i | ||||
\(513\) | −23.0502 | + | 0.234648i | −1.01769 | + | 0.0103600i | ||||
\(514\) | 4.84672 | + | 4.84672i | 0.213780 | + | 0.213780i | ||||
\(515\) | −2.18458 | − | 0.585357i | −0.0962642 | − | 0.0257939i | ||||
\(516\) | 3.06067 | + | 11.2695i | 0.134739 | + | 0.496112i | ||||
\(517\) | 31.5688 | + | 18.2262i | 1.38839 | + | 0.801589i | ||||
\(518\) | −0.578639 | − | 2.15951i | −0.0254239 | − | 0.0948834i | ||||
\(519\) | −13.0414 | + | 13.1302i | −0.572453 | + | 0.576351i | ||||
\(520\) | −0.373331 | + | 1.30971i | −0.0163716 | + | 0.0574346i | ||||
\(521\) | 23.0464i | 1.00968i | 0.863213 | + | 0.504840i | \(0.168448\pi\) | ||||
−0.863213 | + | 0.504840i | \(0.831552\pi\) | |||||||
\(522\) | 4.66593 | + | 4.60303i | 0.204222 | + | 0.201469i | ||||
\(523\) | −30.2009 | −1.32059 | −0.660297 | − | 0.751005i | \(-0.729570\pi\) | ||||
−0.660297 | + | 0.751005i | \(0.729570\pi\) | |||||||
\(524\) | 8.60273 | + | 14.9004i | 0.375812 | + | 0.650926i | ||||
\(525\) | 24.2129 | − | 14.0891i | 1.05674 | − | 0.614899i | ||||
\(526\) | −3.37275 | − | 12.5873i | −0.147059 | − | 0.548832i | ||||
\(527\) | 1.34140 | + | 5.00616i | 0.0584321 | + | 0.218072i | ||||
\(528\) | 13.6273 | − | 7.92951i | 0.593053 | − | 0.345088i | ||||
\(529\) | 11.4405 | + | 19.8155i | 0.497413 | + | 0.861545i | ||||
\(530\) | 0.194134 | 0.00843266 | ||||||||
\(531\) | 20.5173 | + | 20.2407i | 0.890377 | + | 0.878373i | ||||
\(532\) | 25.8369i | 1.12017i | ||||||||
\(533\) | 23.4007 | − | 13.0192i | 1.01359 | − | 0.563925i | ||||
\(534\) | −1.56502 | + | 1.57568i | −0.0677250 | + | 0.0681861i | ||||
\(535\) | −0.439375 | − | 1.63977i | −0.0189959 | − | 0.0708935i | ||||
\(536\) | −4.29682 | − | 2.48077i | −0.185594 | − | 0.107153i | ||||
\(537\) | 0.998162 | + | 3.67526i | 0.0430739 | + | 0.158599i | ||||
\(538\) | −8.97877 | − | 2.40586i | −0.387102 | − | 0.103724i | ||||
\(539\) | −8.56516 | − | 8.56516i | −0.368928 | − | 0.368928i | ||||
\(540\) | 1.01263 | + | 1.71340i | 0.0435765 | + | 0.0737330i | ||||
\(541\) | 6.91497 | + | 6.91497i | 0.297298 | + | 0.297298i | 0.839954 | − | 0.542657i | \(-0.182582\pi\) |
−0.542657 | + | 0.839954i | \(0.682582\pi\) | |||||||
\(542\) | 7.12877 | − | 4.11580i | 0.306207 | − | 0.176789i | ||||
\(543\) | 26.4208 | − | 7.17560i | 1.13382 | − | 0.307934i | ||||
\(544\) | 35.8149 | − | 9.59657i | 1.53555 | − | 0.411450i | ||||
\(545\) | −0.448097 | + | 0.776126i | −0.0191943 | + | 0.0332456i | ||||
\(546\) | 0.118403 | − | 9.47821i | 0.00506717 | − | 0.405630i | ||||
\(547\) | 6.88394 | + | 11.9233i | 0.294336 | + | 0.509805i | 0.974830 | − | 0.222948i | \(-0.0715681\pi\) |
−0.680494 | + | 0.732754i | \(0.738235\pi\) | |||||||
\(548\) | −14.1526 | − | 14.1526i | −0.604571 | − | 0.604571i | ||||
\(549\) | 16.9636 | + | 9.64104i | 0.723989 | + | 0.411470i | ||||
\(550\) | − | 7.62375i | − | 0.325078i | ||||||
\(551\) | 5.39575 | − | 20.1372i | 0.229867 | − | 0.857874i | ||||
\(552\) | 0.908464 | − | 0.528620i | 0.0386668 | − | 0.0224996i | ||||
\(553\) | 24.1522 | − | 6.47157i | 1.02706 | − | 0.275199i | ||||
\(554\) | −0.134199 | − | 0.500837i | −0.00570156 | − | 0.0212785i | ||||
\(555\) | −0.139981 | + | 0.529599i | −0.00594188 | + | 0.0224802i | ||||
\(556\) | 18.8326 | − | 10.8730i | 0.798679 | − | 0.461118i | ||||
\(557\) | 6.79791 | − | 6.79791i | 0.288037 | − | 0.288037i | −0.548267 | − | 0.836304i | \(-0.684712\pi\) |
0.836304 | + | 0.548267i | \(0.184712\pi\) | |||||||
\(558\) | −0.806651 | + | 0.473048i | −0.0341483 | + | 0.0200257i | ||||
\(559\) | −9.78775 | + | 9.48163i | −0.413978 | + | 0.401030i | ||||
\(560\) | 1.66947 | − | 0.963866i | 0.0705478 | − | 0.0407308i | ||||
\(561\) | 0.150383 | + | 44.3192i | 0.00634919 | + | 1.87116i | ||||
\(562\) | −1.94229 | + | 3.36415i | −0.0819306 | + | 0.141908i | ||||
\(563\) | −16.8374 | + | 29.1632i | −0.709611 | + | 1.22908i | 0.255391 | + | 0.966838i | \(0.417796\pi\) |
−0.965002 | + | 0.262244i | \(0.915538\pi\) | |||||||
\(564\) | 16.9122 | − | 29.5236i | 0.712131 | − | 1.24317i | ||||
\(565\) | 3.22128 | + | 0.863140i | 0.135520 | + | 0.0363126i | ||||
\(566\) | 4.02886 | − | 4.02886i | 0.169345 | − | 0.169345i | ||||
\(567\) | −21.0575 | − | 20.4935i | −0.884331 | − | 0.860645i | ||||
\(568\) | −5.54745 | −0.232766 | ||||||||
\(569\) | 14.6239 | + | 25.3293i | 0.613065 | + | 1.06186i | 0.990721 | + | 0.135914i | \(0.0433971\pi\) |
−0.377655 | + | 0.925946i | \(0.623270\pi\) | |||||||
\(570\) | −0.381254 | + | 0.665557i | −0.0159690 | + | 0.0278771i | ||||
\(571\) | −9.32626 | − | 5.38452i | −0.390292 | − | 0.225335i | 0.291995 | − | 0.956420i | \(-0.405681\pi\) |
−0.682287 | + | 0.731085i | \(0.739014\pi\) | |||||||
\(572\) | 18.2669 | + | 10.9369i | 0.763777 | + | 0.457295i | ||||
\(573\) | −3.71165 | − | 3.68655i | −0.155057 | − | 0.154008i | ||||
\(574\) | 10.8890 | + | 2.91769i | 0.454497 | + | 0.121782i | ||||
\(575\) | 1.70891i | 0.0712663i | ||||||||
\(576\) | −4.96220 | − | 8.46164i | −0.206758 | − | 0.352568i | ||||
\(577\) | −7.56424 | + | 7.56424i | −0.314903 | + | 0.314903i | −0.846806 | − | 0.531902i | \(-0.821477\pi\) |
0.531902 | + | 0.846806i | \(0.321477\pi\) | |||||||
\(578\) | −5.14419 | + | 19.1984i | −0.213970 | + | 0.798547i | ||||
\(579\) | −21.3691 | − | 36.7239i | −0.888067 | − | 1.52619i | ||||
\(580\) | −1.73865 | + | 0.465871i | −0.0721936 | + | 0.0193442i | ||||
\(581\) | −42.3138 | − | 24.4299i | −1.75547 | − | 1.01352i | ||||
\(582\) | −2.11171 | − | 0.558159i | −0.0875333 | − | 0.0231364i | ||||
\(583\) | 1.66619 | − | 6.21830i | 0.0690065 | − | 0.257536i | ||||
\(584\) | 3.74197 | 0.154844 | ||||||||
\(585\) | −1.17951 | + | 2.00072i | −0.0487669 | + | 0.0827194i | ||||
\(586\) | −5.82443 | −0.240605 | ||||||||
\(587\) | 2.60124 | − | 9.70796i | 0.107365 | − | 0.400690i | −0.891238 | − | 0.453536i | \(-0.850162\pi\) |
0.998603 | + | 0.0528456i | \(0.0168291\pi\) | |||||||
\(588\) | −7.96749 | + | 8.02175i | −0.328574 | + | 0.330811i | ||||
\(589\) | 2.57591 | + | 1.48720i | 0.106138 | + | 0.0612790i | ||||
\(590\) | 0.926323 | − | 0.248208i | 0.0381361 | − | 0.0102185i | ||||
\(591\) | −17.8780 | + | 31.2097i | −0.735403 | + | 1.28380i | ||||
\(592\) | 1.04832 | − | 3.91240i | 0.0430859 | − | 0.160799i | ||||
\(593\) | −4.08098 | + | 4.08098i | −0.167586 | + | 0.167586i | −0.785917 | − | 0.618332i | \(-0.787809\pi\) |
0.618332 | + | 0.785917i | \(0.287809\pi\) | |||||||
\(594\) | −7.70262 | + | 2.14818i | −0.316042 | + | 0.0881410i | ||||
\(595\) | 5.41885i | 0.222151i | ||||||||
\(596\) | −24.6919 | − | 6.61616i | −1.01142 | − | 0.271009i | ||||
\(597\) | −24.6157 | + | 6.68535i | −1.00745 | + | 0.273613i | ||||
\(598\) | 0.496114 | + | 0.297037i | 0.0202876 | + | 0.0121467i | ||||
\(599\) | 27.0004 | + | 15.5887i | 1.10321 | + | 0.636936i | 0.937061 | − | 0.349165i | \(-0.113535\pi\) |
0.166144 | + | 0.986101i | \(0.446868\pi\) | |||||||
\(600\) | −15.0940 | + | 0.0512168i | −0.616211 | + | 0.00209092i | ||||
\(601\) | −23.2036 | − | 40.1898i | −0.946494 | − | 1.63938i | −0.752731 | − | 0.658328i | \(-0.771264\pi\) |
−0.193763 | − | 0.981048i | \(-0.562069\pi\) | |||||||
\(602\) | −5.73672 | −0.233811 | ||||||||
\(603\) | −6.02352 | − | 5.94231i | −0.245297 | − | 0.241990i | ||||
\(604\) | 25.9364 | − | 25.9364i | 1.05534 | − | 1.05534i | ||||
\(605\) | −0.00879817 | − | 0.00235746i | −0.000357696 | − | 9.58445e-5i | ||||
\(606\) | −1.17727 | − | 2.02320i | −0.0478232 | − | 0.0821870i | ||||
\(607\) | 3.68979 | − | 6.39090i | 0.149764 | − | 0.259399i | −0.781376 | − | 0.624060i | \(-0.785482\pi\) |
0.931140 | + | 0.364662i | \(0.118815\pi\) | |||||||
\(608\) | 10.6397 | − | 18.4285i | 0.431496 | − | 0.747374i | ||||
\(609\) | 22.9689 | − | 13.3652i | 0.930748 | − | 0.541587i | ||||
\(610\) | 0.562264 | − | 0.324623i | 0.0227654 | − | 0.0131436i | ||||
\(611\) | 39.6996 | + | 0.630667i | 1.60607 | + | 0.0255140i | ||||
\(612\) | 41.3665 | − | 0.280732i | 1.67214 | − | 0.0113479i | ||||
\(613\) | 9.22313 | − | 9.22313i | 0.372519 | − | 0.372519i | −0.495875 | − | 0.868394i | \(-0.665153\pi\) |
0.868394 | + | 0.495875i | \(0.165153\pi\) | |||||||
\(614\) | 10.8461 | − | 6.26200i | 0.437713 | − | 0.252714i | ||||
\(615\) | −1.95973 | − | 1.94648i | −0.0790240 | − | 0.0784896i | ||||
\(616\) | 4.92059 | + | 18.3639i | 0.198256 | + | 0.739902i | ||||
\(617\) | 11.8107 | − | 3.16466i | 0.475480 | − | 0.127404i | −0.0131172 | − | 0.999914i | \(-0.504175\pi\) |
0.488597 | + | 0.872510i | \(0.337509\pi\) | |||||||
\(618\) | −7.35970 | − | 4.21589i | −0.296051 | − | 0.169588i | ||||
\(619\) | 4.10240 | − | 15.3104i | 0.164889 | − | 0.615375i | −0.833165 | − | 0.553025i | \(-0.813474\pi\) |
0.998054 | − | 0.0623509i | \(-0.0198598\pi\) | |||||||
\(620\) | − | 0.256811i | − | 0.0103138i | ||||||
\(621\) | 1.72659 | − | 0.481527i | 0.0692855 | − | 0.0193230i | ||||
\(622\) | 5.17998 | + | 5.17998i | 0.207698 | + | 0.207698i | ||||
\(623\) | 4.50217 | + | 7.79798i | 0.180376 | + | 0.312420i | ||||
\(624\) | 8.77165 | − | 14.7639i | 0.351147 | − | 0.591030i | ||||
\(625\) | 12.1553 | − | 21.0536i | 0.486211 | − | 0.842143i | ||||
\(626\) | 12.4850 | − | 3.34535i | 0.499002 | − | 0.133707i | ||||
\(627\) | 18.0462 | + | 17.9242i | 0.720697 | + | 0.715823i | ||||
\(628\) | −5.69752 | + | 3.28946i | −0.227356 | + | 0.131264i | ||||
\(629\) | 8.05090 | + | 8.05090i | 0.321011 | + | 0.321011i | ||||
\(630\) | −0.942670 | + | 0.259457i | −0.0375569 | + | 0.0103370i | ||||
\(631\) | −5.24304 | − | 5.24304i | −0.208722 | − | 0.208722i | 0.595002 | − | 0.803724i | \(-0.297151\pi\) |
−0.803724 | + | 0.595002i | \(0.797151\pi\) | |||||||
\(632\) | −13.0135 | − | 3.48695i | −0.517648 | − | 0.138703i | ||||
\(633\) | −14.8207 | − | 3.91734i | −0.589070 | − | 0.155700i | ||||
\(634\) | −1.59255 | − | 0.919457i | −0.0632481 | − | 0.0365163i | ||||
\(635\) | 0.674319 | + | 2.51659i | 0.0267595 | + | 0.0998679i | ||||
\(636\) | −5.80937 | − | 1.53551i | −0.230356 | − | 0.0608868i | ||||
\(637\) | −12.6882 | − | 3.61676i | −0.502726 | − | 0.143301i | ||||
\(638\) | − | 7.23206i | − | 0.286320i | ||||||
\(639\) | −9.15456 | − | 2.38649i | −0.362149 | − | 0.0944081i | ||||
\(640\) | −2.38628 | −0.0943258 | ||||||||
\(641\) | 8.32383 | + | 14.4173i | 0.328772 | + | 0.569449i | 0.982268 | − | 0.187480i | \(-0.0600320\pi\) |
−0.653497 | + | 0.756929i | \(0.726699\pi\) | |||||||
\(642\) | −0.0216024 | − | 6.36641i | −0.000852580 | − | 0.251262i | ||||
\(643\) | −1.51973 | − | 5.67171i | −0.0599323 | − | 0.223670i | 0.929464 | − | 0.368914i | \(-0.120270\pi\) |
−0.989396 | + | 0.145243i | \(0.953603\pi\) | |||||||
\(644\) | −0.519987 | − | 1.94062i | −0.0204904 | − | 0.0764710i | ||||
\(645\) | 1.21967 | + | 0.698669i | 0.0480244 | + | 0.0275101i | ||||
\(646\) | 7.97123 | + | 13.8066i | 0.313624 | + | 0.543213i | ||||
\(647\) | −46.1140 | −1.81293 | −0.906464 | − | 0.422283i | \(-0.861229\pi\) | ||||
−0.906464 | + | 0.422283i | \(0.861229\pi\) | |||||||
\(648\) | 4.30486 | + | 15.2357i | 0.169111 | + | 0.598516i | ||||
\(649\) | − | 31.8013i | − | 1.24831i | ||||||
\(650\) | −4.03721 | − | 7.25644i | −0.158352 | − | 0.284621i | ||||
\(651\) | 0.993728 | + | 3.65894i | 0.0389473 | + | 0.143405i | ||||
\(652\) | 0.902847 | + | 3.36947i | 0.0353582 | + | 0.131959i | ||||
\(653\) | −21.8245 | − | 12.6004i | −0.854059 | − | 0.493091i | 0.00795932 | − | 0.999968i | \(-0.497466\pi\) |
−0.862018 | + | 0.506877i | \(0.830800\pi\) | |||||||
\(654\) | −2.36846 | + | 2.38459i | −0.0926140 | + | 0.0932447i | ||||
\(655\) | 2.00040 | + | 0.536004i | 0.0781619 | + | 0.0209434i | ||||
\(656\) | 14.4416 | + | 14.4416i | 0.563851 | + | 0.563851i | ||||
\(657\) | 6.17510 | + | 1.60978i | 0.240914 | + | 0.0628035i | ||||
\(658\) | 11.8190 | + | 11.8190i | 0.460754 | + | 0.460754i | ||||
\(659\) | −0.285017 | + | 0.164555i | −0.0111027 | + | 0.00641015i | −0.505541 | − | 0.862803i | \(-0.668707\pi\) |
0.494438 | + | 0.869213i | \(0.335374\pi\) | |||||||
\(660\) | 0.561184 | − | 2.12316i | 0.0218441 | − | 0.0826439i | ||||
\(661\) | −35.6548 | + | 9.55367i | −1.38681 | + | 0.371595i | −0.873590 | − | 0.486662i | \(-0.838214\pi\) |
−0.513220 | + | 0.858257i | \(0.671548\pi\) | |||||||
\(662\) | −3.98571 | + | 6.90346i | −0.154909 | + | 0.268311i | ||||
\(663\) | 23.6126 | + | 42.1043i | 0.917039 | + | 1.63519i | ||||
\(664\) | 13.1631 | + | 22.7991i | 0.510827 | + | 0.884778i | ||||
\(665\) | 2.19903 | + | 2.19903i | 0.0852747 | + | 0.0852747i | ||||
\(666\) | −1.01507 | + | 1.78603i | −0.0393330 | + | 0.0692071i | ||||
\(667\) | 1.62111i | 0.0627695i | ||||||||
\(668\) | −8.83245 | + | 32.9632i | −0.341738 | + | 1.27538i | ||||
\(669\) | −0.133613 | − | 39.3768i | −0.00516577 | − | 1.52239i | ||||
\(670\) | −0.271952 | + | 0.0728692i | −0.0105064 | + | 0.00281518i | ||||
\(671\) | −5.57226 | − | 20.7960i | −0.215115 | − | 0.802819i | ||||
\(672\) | 26.1767 | − | 7.10930i | 1.00979 | − | 0.274247i | ||||
\(673\) | −32.4557 | + | 18.7383i | −1.25107 | + | 0.722308i | −0.971323 | − | 0.237764i | \(-0.923585\pi\) |
−0.279752 | + | 0.960072i | \(0.590252\pi\) | |||||||
\(674\) | 0.236597 | − | 0.236597i | 0.00911336 | − | 0.00911336i | ||||
\(675\) | −24.9306 | − | 6.40887i | −0.959580 | − | 0.246677i | ||||
\(676\) | 23.1785 | + | 0.736612i | 0.891482 | + | 0.0283312i | ||||
\(677\) | 10.2016 | − | 5.88988i | 0.392078 | − | 0.226366i | −0.290982 | − | 0.956728i | \(-0.593982\pi\) |
0.683060 | + | 0.730362i | \(0.260649\pi\) | |||||||
\(678\) | 10.8523 | + | 6.21656i | 0.416779 | + | 0.238746i | ||||
\(679\) | −4.42800 | + | 7.66952i | −0.169931 | + | 0.294329i | ||||
\(680\) | 1.45987 | − | 2.52856i | 0.0559833 | − | 0.0969659i | ||||
\(681\) | −11.1653 | + | 0.0378860i | −0.427855 | + | 0.00145179i | ||||
\(682\) | 0.996666 | + | 0.267056i | 0.0381643 | + | 0.0102261i | ||||
\(683\) | −19.1452 | + | 19.1452i | −0.732572 | + | 0.732572i | −0.971129 | − | 0.238556i | \(-0.923326\pi\) |
0.238556 | + | 0.971129i | \(0.423326\pi\) | |||||||
\(684\) | 16.6731 | − | 16.9009i | 0.637511 | − | 0.646223i | ||||
\(685\) | −2.40912 | −0.0920477 | ||||||||
\(686\) | 2.53537 | + | 4.39138i | 0.0968007 | + | 0.167664i | ||||
\(687\) | 5.76913 | + | 9.91458i | 0.220106 | + | 0.378265i | ||||
\(688\) | −9.00083 | − | 5.19663i | −0.343153 | − | 0.198120i | ||||
\(689\) | −1.70703 | − | 6.80105i | −0.0650326 | − | 0.259100i | ||||
\(690\) | 0.0152413 | − | 0.0576633i | 0.000580227 | − | 0.00219520i | ||||
\(691\) | −24.1482 | − | 6.47049i | −0.918640 | − | 0.246149i | −0.231636 | − | 0.972803i | \(-0.574408\pi\) |
−0.687004 | + | 0.726654i | \(0.741075\pi\) | |||||||
\(692\) | − | 19.0598i | − | 0.724544i | ||||||
\(693\) | 0.220027 | + | 32.4214i | 0.00835812 | + | 1.23159i | ||||
\(694\) | 7.67023 | − | 7.67023i | 0.291158 | − | 0.291158i | ||||
\(695\) | 0.677456 | − | 2.52830i | 0.0256974 | − | 0.0959039i | ||||
\(696\) | −14.3185 | + | 0.0485854i | −0.542742 | + | 0.00184163i | ||||
\(697\) | −55.4543 | + | 14.8589i | −2.10048 | + | 0.562822i | ||||
\(698\) | −6.08850 | − | 3.51520i | −0.230453 | − | 0.133052i | ||||
\(699\) | −0.837571 | − | 3.08396i | −0.0316798 | − | 0.116646i | ||||
\(700\) | −7.46738 | + | 27.8686i | −0.282240 | + | 1.05334i | ||||
\(701\) | 30.1677 | 1.13942 | 0.569709 | − | 0.821846i | \(-0.307056\pi\) | ||||
0.569709 | + | 0.821846i | \(0.307056\pi\) | |||||||
\(702\) | −6.19393 | + | 6.12366i | −0.233775 | + | 0.231123i | ||||
\(703\) | 6.53429 | 0.246446 | ||||||||
\(704\) | −2.80137 | + | 10.4549i | −0.105581 | + | 0.394033i | ||||
\(705\) | −1.07339 | − | 3.95224i | −0.0404261 | − | 0.148850i | ||||
\(706\) | −13.2478 | − | 7.64862i | −0.498588 | − | 0.287860i | ||||
\(707\) | −9.16738 | + | 2.45639i | −0.344775 | + | 0.0923821i | ||||
\(708\) | −29.6829 | + | 0.100720i | −1.11555 | + | 0.00378528i | ||||
\(709\) | 1.84448 | − | 6.88371i | 0.0692711 | − | 0.258523i | −0.922602 | − | 0.385753i | \(-0.873942\pi\) |
0.991873 | + | 0.127230i | \(0.0406085\pi\) | |||||||
\(710\) | −0.222592 | + | 0.222592i | −0.00835374 | + | 0.00835374i | ||||
\(711\) | −19.9752 | − | 11.3526i | −0.749127 | − | 0.425756i | ||||
\(712\) | − | 4.85163i | − | 0.181823i | ||||||
\(713\) | −0.223408 | − | 0.0598621i | −0.00836671 | − | 0.00224185i | ||||
\(714\) | −5.19306 | + | 19.6472i | −0.194345 | + | 0.735278i | ||||
\(715\) | 2.48559 | − | 0.623871i | 0.0929559 | − | 0.0233314i | ||||
\(716\) | −3.39683 | − | 1.96116i | −0.126945 | − | 0.0732920i | ||||
\(717\) | −6.09238 | − | 10.4701i | −0.227524 | − | 0.391013i | ||||
\(718\) | 4.16834 | + | 7.21978i | 0.155561 | + | 0.269440i | ||||
\(719\) | −10.5900 | −0.394939 | −0.197469 | − | 0.980309i | \(-0.563272\pi\) | ||||
−0.197469 | + | 0.980309i | \(0.563272\pi\) | |||||||
\(720\) | −1.71407 | − | 0.446837i | −0.0638794 | − | 0.0166526i | ||||
\(721\) | −24.3168 | + | 24.3168i | −0.905604 | + | 0.905604i | ||||
\(722\) | 0.305469 | + | 0.0818501i | 0.0113684 | + | 0.00304614i | ||||
\(723\) | 48.3682 | − | 0.164123i | 1.79883 | − | 0.00610378i | ||||
\(724\) | −14.0984 | + | 24.4192i | −0.523963 | + | 0.907531i | ||||
\(725\) | 11.6401 | − | 20.1613i | 0.432303 | − | 0.748771i | ||||
\(726\) | −0.0296404 | − | 0.0169791i | −0.00110006 | − | 0.000630152i | ||||
\(727\) | −6.67295 | + | 3.85263i | −0.247486 | + | 0.142886i | −0.618613 | − | 0.785696i | \(-0.712305\pi\) |
0.371127 | + | 0.928582i | \(0.378972\pi\) | |||||||
\(728\) | 14.4082 | + | 14.8734i | 0.534004 | + | 0.551245i | ||||
\(729\) | 0.549657 | + | 26.9944i | 0.0203577 | + | 0.999793i | ||||
\(730\) | 0.150147 | − | 0.150147i | 0.00555719 | − | 0.00555719i | ||||
\(731\) | 25.3013 | − | 14.6077i | 0.935802 | − | 0.540285i | ||||
\(732\) | −19.3931 | + | 5.26695i | −0.716788 | + | 0.194672i | ||||
\(733\) | 3.04971 | + | 11.3817i | 0.112643 | + | 0.420391i | 0.999100 | − | 0.0424210i | \(-0.0135071\pi\) |
−0.886456 | + | 0.462812i | \(0.846840\pi\) | |||||||
\(734\) | −10.0329 | + | 2.68829i | −0.370319 | + | 0.0992268i | ||||
\(735\) | 0.00461771 | + | 1.36088i | 0.000170327 | + | 0.0501967i | ||||
\(736\) | −0.428264 | + | 1.59830i | −0.0157860 | + | 0.0589142i | ||||
\(737\) | 9.33628i | 0.343906i | ||||||||
\(738\) | −5.24006 | − | 8.93545i | −0.192889 | − | 0.328919i | ||||
\(739\) | 24.8595 | + | 24.8595i | 0.914470 | + | 0.914470i | 0.996620 | − | 0.0821501i | \(-0.0261787\pi\) |
−0.0821501 | + | 0.996620i | \(0.526179\pi\) | |||||||
\(740\) | −0.282087 | − | 0.488588i | −0.0103697 | − | 0.0179609i | ||||
\(741\) | 26.6687 | + | 7.50411i | 0.979698 | + | 0.275670i | ||||
\(742\) | 1.47594 | − | 2.55640i | 0.0541835 | − | 0.0938485i | ||||
\(743\) | 27.9519 | − | 7.48970i | 1.02546 | − | 0.274770i | 0.293382 | − | 0.955995i | \(-0.405219\pi\) |
0.732074 | + | 0.681225i | \(0.238552\pi\) | |||||||
\(744\) | 0.522040 | − | 1.97506i | 0.0191389 | − | 0.0724093i | ||||
\(745\) | −2.66469 | + | 1.53846i | −0.0976266 | + | 0.0563647i | ||||
\(746\) | −0.288294 | − | 0.288294i | −0.0105552 | − | 0.0105552i | ||||
\(747\) | 11.9140 | + | 43.2865i | 0.435911 | + | 1.58377i | ||||
\(748\) | −32.2760 | − | 32.2760i | −1.18013 | − | 1.18013i | ||||
\(749\) | −24.9333 | − | 6.68086i | −0.911043 | − | 0.244113i | ||||
\(750\) | −1.21281 | + | 1.22107i | −0.0442854 | + | 0.0445870i | ||||
\(751\) | −5.93020 | − | 3.42380i | −0.216396 | − | 0.124936i | 0.387884 | − | 0.921708i | \(-0.373206\pi\) |
−0.604280 | + | 0.796772i | \(0.706539\pi\) | |||||||
\(752\) | 7.83758 | + | 29.2502i | 0.285807 | + | 1.06665i | ||||
\(753\) | −5.31837 | − | 19.5824i | −0.193812 | − | 0.713623i | ||||
\(754\) | −3.82978 | − | 6.88362i | −0.139472 | − | 0.250687i | ||||
\(755\) | − | 4.41500i | − | 0.160678i | ||||||
\(756\) | 30.2611 | − | 0.308054i | 1.10058 | − | 0.0112038i | ||||
\(757\) | −45.8994 | −1.66824 | −0.834120 | − | 0.551583i | \(-0.814024\pi\) | ||||
−0.834120 | + | 0.551583i | \(0.814024\pi\) | |||||||
\(758\) | 1.20131 | + | 2.08073i | 0.0436335 | + | 0.0755754i | ||||
\(759\) | −1.71620 | − | 0.983097i | −0.0622940 | − | 0.0356842i | ||||
\(760\) | −0.433689 | − | 1.61855i | −0.0157316 | − | 0.0587109i | ||||
\(761\) | −9.36788 | − | 34.9614i | −0.339585 | − | 1.26735i | −0.898812 | − | 0.438335i | \(-0.855568\pi\) |
0.559226 | − | 0.829015i | \(-0.311098\pi\) | |||||||
\(762\) | 0.0331537 | + | 9.77067i | 0.00120103 | + | 0.353954i | ||||
\(763\) | 6.81346 | + | 11.8013i | 0.246664 | + | 0.427234i | ||||
\(764\) | 5.38784 | 0.194925 | ||||||||
\(765\) | 3.49689 | − | 3.54468i | 0.126430 | − | 0.128158i | ||||
\(766\) | 0.886162i | 0.0320183i | ||||||||
\(767\) | −16.8406 | − | 30.2691i | −0.608078 | − | 1.09295i | ||||
\(768\) | 2.29880 | + | 0.607610i | 0.0829509 | + | 0.0219252i | ||||
\(769\) | −11.2319 | − | 41.9181i | −0.405033 | − | 1.51160i | −0.803994 | − | 0.594637i | \(-0.797296\pi\) |
0.398961 | − | 0.916968i | \(-0.369371\pi\) | |||||||
\(770\) | 0.934293 | + | 0.539414i | 0.0336696 | + | 0.0194391i | ||||
\(771\) | −24.6885 | − | 6.52557i | −0.889136 | − | 0.235013i | ||||
\(772\) | 42.2686 | + | 11.3258i | 1.52128 | + | 0.407625i | ||||
\(773\) | −26.7611 | − | 26.7611i | −0.962528 | − | 0.962528i | 0.0367944 | − | 0.999323i | \(-0.488285\pi\) |
−0.999323 | + | 0.0367944i | \(0.988285\pi\) | |||||||
\(774\) | 3.75261 | + | 3.70202i | 0.134885 | + | 0.133066i | ||||
\(775\) | 2.34864 | + | 2.34864i | 0.0843656 | + | 0.0843656i | ||||
\(776\) | 4.13242 | − | 2.38585i | 0.148345 | − | 0.0856471i | ||||
\(777\) | 5.90964 | + | 5.86967i | 0.212007 | + | 0.210573i | ||||
\(778\) | −10.7510 | + | 2.88071i | −0.385441 | + | 0.103279i | ||||
\(779\) | −16.4741 | + | 28.5339i | −0.590244 | + | 1.02233i | ||||
\(780\) | −0.590186 | − | 2.31805i | −0.0211321 | − | 0.0829994i | ||||
\(781\) | 5.21940 | + | 9.04027i | 0.186765 | + | 0.323486i | ||||
\(782\) | −0.876590 | − | 0.876590i | −0.0313468 | − | 0.0313468i | ||||
\(783\) | −23.6497 | − | 6.07959i | −0.845173 | − | 0.217267i | ||||
\(784\) | − | 10.0626i | − | 0.359378i | ||||||
\(785\) | −0.204954 | + | 0.764900i | −0.00731513 | + | 0.0273004i | ||||
\(786\) | 6.73919 | + | 3.86044i | 0.240379 | + | 0.137698i | ||||
\(787\) | 16.9135 | − | 4.53196i | 0.602901 | − | 0.161547i | 0.0555584 | − | 0.998455i | \(-0.482306\pi\) |
0.547343 | + | 0.836909i | \(0.315639\pi\) | |||||||
\(788\) | −9.58758 | − | 35.7813i | −0.341543 | − | 1.27466i | ||||
\(789\) | 34.4460 | + | 34.2130i | 1.22631 | + | 1.21801i | ||||
\(790\) | −0.662082 | + | 0.382253i | −0.0235558 | + | 0.0136000i | ||||
\(791\) | 35.8564 | − | 35.8564i | 1.27491 | − | 1.27491i | ||||
\(792\) | 8.63183 | − | 15.1879i | 0.306719 | − | 0.539678i | ||||
\(793\) | −16.3164 | − | 16.8432i | −0.579414 | − | 0.598120i | ||||
\(794\) | −7.96367 | + | 4.59782i | −0.282620 | + | 0.163171i | ||||
\(795\) | −0.625137 | + | 0.363757i | −0.0221713 | + | 0.0129011i | ||||
\(796\) | 13.1352 | − | 22.7508i | 0.465564 | − | 0.806381i | ||||
\(797\) | 10.4651 | − | 18.1261i | 0.370692 | − | 0.642058i | −0.618980 | − | 0.785407i | \(-0.712454\pi\) |
0.989672 | + | 0.143349i | \(0.0457871\pi\) | |||||||
\(798\) | 5.86565 | + | 10.0805i | 0.207642 | + | 0.356844i | ||||
\(799\) | −82.2222 | − | 22.0314i | −2.90881 | − | 0.779414i | ||||
\(800\) | 16.8026 | − | 16.8026i | 0.594061 | − | 0.594061i | ||||
\(801\) | 2.08715 | − | 8.00631i | 0.0737460 | − | 0.282889i | ||||
\(802\) | −4.78168 | −0.168847 | ||||||||
\(803\) | −3.52069 | − | 6.09801i | −0.124242 | − | 0.215194i | ||||
\(804\) | 8.71437 | − | 0.0295695i | 0.307332 | − | 0.00104284i | ||||
\(805\) | −0.209427 | − | 0.120913i | −0.00738133 | − | 0.00426161i | ||||
\(806\) | 1.09007 | − | 0.273602i | 0.0383961 | − | 0.00963721i | ||||
\(807\) | 33.4207 | − | 9.07671i | 1.17647 | − | 0.319515i | ||||
\(808\) | 4.93948 | + | 1.32353i | 0.173770 | + | 0.0465616i | ||||
\(809\) | − | 9.55584i | − | 0.335965i | −0.985790 | − | 0.167983i | \(-0.946275\pi\) | ||
0.985790 | − | 0.167983i | \(-0.0537253\pi\) | |||||||
\(810\) | 0.784070 | + | 0.438603i | 0.0275494 | + | 0.0154109i | ||||
\(811\) | 11.1766 | − | 11.1766i | 0.392464 | − | 0.392464i | −0.483101 | − | 0.875565i | \(-0.660490\pi\) |
0.875565 | + | 0.483101i | \(0.160490\pi\) | |||||||
\(812\) | −7.08372 | + | 26.4368i | −0.248590 | + | 0.927750i | ||||
\(813\) | −15.2436 | + | 26.6108i | −0.534617 | + | 0.933283i | ||||
\(814\) | 2.18952 | − | 0.586680i | 0.0767426 | − | 0.0205631i | ||||
\(815\) | 0.363625 | + | 0.209939i | 0.0127372 | + | 0.00735385i | ||||
\(816\) | −25.9453 | + | 26.1220i | −0.908268 | + | 0.914453i | ||||
\(817\) | 4.33958 | − | 16.1955i | 0.151823 | − | 0.566609i | ||||
\(818\) | 1.97769 | 0.0691484 | ||||||||
\(819\) | 17.3784 | + | 30.7429i | 0.607251 | + | 1.07424i | ||||
\(820\) | 2.84475 | 0.0993430 | ||||||||
\(821\) | 8.73131 | − | 32.5857i | 0.304725 | − | 1.13725i | −0.628457 | − | 0.777844i | \(-0.716313\pi\) |
0.933182 | − | 0.359405i | \(-0.117020\pi\) | |||||||
\(822\) | −8.73478 | − | 2.30874i | −0.304660 | − | 0.0805265i | ||||
\(823\) | 31.5574 | + | 18.2197i | 1.10002 | + | 0.635098i | 0.936227 | − | 0.351396i | \(-0.114293\pi\) |
0.163795 | + | 0.986494i | \(0.447626\pi\) | |||||||
\(824\) | 17.8978 | − | 4.79571i | 0.623501 | − | 0.167067i | ||||
\(825\) | 14.2849 | + | 24.5494i | 0.497337 | + | 0.854701i | ||||
\(826\) | 3.77408 | − | 14.0851i | 0.131317 | − | 0.490082i | ||||
\(827\) | 15.6509 | − | 15.6509i | 0.544236 | − | 0.544236i | −0.380532 | − | 0.924768i | \(-0.624259\pi\) |
0.924768 | + | 0.380532i | \(0.124259\pi\) | |||||||
\(828\) | −0.912176 | + | 1.60499i | −0.0317003 | + | 0.0557773i | ||||
\(829\) | − | 34.8622i | − | 1.21081i | −0.795916 | − | 0.605407i | \(-0.793010\pi\) | ||
0.795916 | − | 0.605407i | \(-0.206990\pi\) | |||||||
\(830\) | 1.44299 | + | 0.386648i | 0.0500869 | + | 0.0134208i | ||||
\(831\) | 1.37057 | + | 1.36130i | 0.0475447 | + | 0.0472231i | ||||
\(832\) | 2.87004 | + | 11.4347i | 0.0995007 | + | 0.396425i | ||||
\(833\) | 24.4963 | + | 14.1429i | 0.848746 | + | 0.490023i | ||||
\(834\) | 4.87922 | − | 8.51767i | 0.168953 | − | 0.294943i | ||||
\(835\) | 2.05381 | + | 3.55731i | 0.0710751 | + | 0.123106i | ||||
\(836\) | −26.1959 | −0.906006 | ||||||||
\(837\) | 1.71115 | − | 3.03473i | 0.0591460 | − | 0.104895i | ||||
\(838\) | −2.89778 | + | 2.89778i | −0.100102 | + | 0.100102i | ||||
\(839\) | 19.7987 | + | 5.30504i | 0.683527 | + | 0.183150i | 0.583840 | − | 0.811868i | \(-0.301549\pi\) |
0.0996863 | + | 0.995019i | \(0.468216\pi\) | |||||||
\(840\) | 1.06169 | − | 1.85340i | 0.0366319 | − | 0.0639484i | ||||
\(841\) | −3.45793 | + | 5.98931i | −0.119239 | + | 0.206528i | ||||
\(842\) | −4.13889 | + | 7.16877i | −0.142636 | + | 0.247052i | ||||
\(843\) | −0.0491073 | − | 14.4723i | −0.00169135 | − | 0.498453i | ||||
\(844\) | 13.6730 | − | 7.89412i | 0.470644 | − | 0.271727i | ||||
\(845\) | 2.03546 | − | 1.91008i | 0.0700221 | − | 0.0657086i | ||||
\(846\) | −0.104229 | − | 15.3584i | −0.00358346 | − | 0.528031i | ||||
\(847\) | −0.0979331 | + | 0.0979331i | −0.00336502 | + | 0.00336502i | ||||
\(848\) | 4.63146 | − | 2.67397i | 0.159045 | − | 0.0918246i | ||||
\(849\) | −5.42440 | + | 20.5224i | −0.186165 | + | 0.704329i | ||||
\(850\) | 4.60769 | + | 17.1961i | 0.158043 | + | 0.589823i | ||||
\(851\) | −0.490793 | + | 0.131508i | −0.0168242 | + | 0.00450802i | ||||
\(852\) | 8.42155 | − | 4.90036i | 0.288518 | − | 0.167884i | ||||
\(853\) | −13.2720 | + | 49.5319i | −0.454426 | + | 1.69594i | 0.235344 | + | 0.971912i | \(0.424378\pi\) |
−0.689770 | + | 0.724029i | \(0.742288\pi\) | |||||||
\(854\) | − | 9.87201i | − | 0.337813i | ||||||
\(855\) | −0.0193926 | − | 2.85755i | −0.000663214 | − | 0.0977261i | ||||
\(856\) | 9.83461 | + | 9.83461i | 0.336140 | + | 0.336140i | ||||
\(857\) | 10.0868 | + | 17.4708i | 0.344557 | + | 0.596791i | 0.985273 | − | 0.170987i | \(-0.0546957\pi\) |
−0.640716 | + | 0.767778i | \(0.721362\pi\) | |||||||
\(858\) | 9.60993 | + | 0.120048i | 0.328077 | + | 0.00409838i | ||||
\(859\) | −3.53548 | + | 6.12362i | −0.120629 | + | 0.208935i | −0.920016 | − | 0.391881i | \(-0.871824\pi\) |
0.799387 | + | 0.600816i | \(0.205158\pi\) | |||||||
\(860\) | −1.39833 | + | 0.374680i | −0.0476825 | + | 0.0127765i | ||||
\(861\) | −40.5308 | + | 11.0077i | −1.38129 | + | 0.375143i | ||||
\(862\) | −4.29107 | + | 2.47745i | −0.146154 | + | 0.0843822i | ||||
\(863\) | 29.7564 | + | 29.7564i | 1.01292 | + | 1.01292i | 0.999915 | + | 0.0130054i | \(0.00413988\pi\) |
0.0130054 | + | 0.999915i | \(0.495860\pi\) | |||||||
\(864\) | −21.7110 | − | 12.2419i | −0.738622 | − | 0.416477i | ||||
\(865\) | −1.62222 | − | 1.62222i | −0.0551570 | − | 0.0551570i | ||||
\(866\) | −3.10683 | − | 0.832472i | −0.105574 | − | 0.0282886i | ||||
\(867\) | −19.4078 | − | 71.4600i | −0.659122 | − | 2.42691i | ||||
\(868\) | −3.38174 | − | 1.95245i | −0.114784 | − | 0.0662704i | ||||
\(869\) | 6.56151 | + | 24.4879i | 0.222584 | + | 0.830694i | ||||
\(870\) | −0.572583 | + | 0.576482i | −0.0194124 | + | 0.0195446i | ||||
\(871\) | 4.94409 | + | 8.88647i | 0.167524 | + | 0.301106i | ||||
\(872\) | − | 7.34233i | − | 0.248643i | ||||||
\(873\) | 7.84582 | − | 2.15945i | 0.265541 | − | 0.0730865i | ||||
\(874\) | −0.711460 | −0.0240655 | ||||||||
\(875\) | 3.48894 | + | 6.04303i | 0.117948 | + | 0.204292i | ||||
\(876\) | −5.68066 | + | 3.30548i | −0.191932 | + | 0.111682i | ||||
\(877\) | 8.53829 | + | 31.8653i | 0.288318 | + | 1.07602i | 0.946381 | + | 0.323053i | \(0.104709\pi\) |
−0.658063 | + | 0.752963i | \(0.728624\pi\) | |||||||
\(878\) | −0.637725 | − | 2.38002i | −0.0215222 | − | 0.0803218i | ||||
\(879\) | 18.7554 | − | 10.9135i | 0.632604 | − | 0.368102i | ||||
\(880\) | 0.977261 | + | 1.69267i | 0.0329435 | + | 0.0570598i | ||||
\(881\) | 9.86139 | 0.332239 | 0.166119 | − | 0.986106i | \(-0.446876\pi\) | ||||
0.166119 | + | 0.986106i | \(0.446876\pi\) | |||||||
\(882\) | −1.28743 | + | 4.93857i | −0.0433500 | + | 0.166290i | ||||
\(883\) | 9.88678i | 0.332717i | 0.986065 | + | 0.166358i | \(0.0532008\pi\) | ||||
−0.986065 | + | 0.166358i | \(0.946799\pi\) | |||||||
\(884\) | −47.8130 | − | 13.6290i | −1.60812 | − | 0.458393i | ||||
\(885\) | −2.51780 | + | 2.53495i | −0.0846350 | + | 0.0852113i | ||||
\(886\) | −1.47977 | − | 5.52258i | −0.0497139 | − | 0.185535i | ||||
\(887\) | 20.2670 | + | 11.7011i | 0.680498 | + | 0.392886i | 0.800043 | − | 0.599943i | \(-0.204810\pi\) |
−0.119545 | + | 0.992829i | \(0.538144\pi\) | |||||||
\(888\) | −1.17626 | − | 4.33102i | −0.0394726 | − | 0.145339i | ||||
\(889\) | 38.2656 | + | 10.2532i | 1.28339 | + | 0.343883i | ||||
\(890\) | −0.194673 | − | 0.194673i | −0.00652544 | − | 0.00652544i | ||||
\(891\) | 20.7783 | − | 21.3501i | 0.696098 | − | 0.715256i | ||||
\(892\) | 28.6767 | + | 28.6767i | 0.960166 | + | 0.960166i | ||||
\(893\) | −42.3073 | + | 24.4261i | −1.41576 | + | 0.817389i | ||||
\(894\) | −11.1357 | + | 3.02435i | −0.372435 | + | 0.101149i | ||||
\(895\) | −0.456029 | + | 0.122193i | −0.0152434 | + | 0.00408445i | ||||
\(896\) | −18.1421 | + | 31.4230i | −0.606084 | + | 1.04977i | ||||
\(897\) | −2.15412 | − | 0.0269095i | −0.0719239 | − | 0.000898481i | ||||
\(898\) | −6.75476 | − | 11.6996i | −0.225409 | − | 0.390420i | ||||
\(899\) | 2.22797 | + | 2.22797i | 0.0743070 | + | 0.0743070i | ||||
\(900\) | 22.8689 | − | 13.4111i | 0.762297 | − | 0.447037i | ||||
\(901\) | 15.0330i | 0.500823i | ||||||||
\(902\) | −2.95824 | + | 11.0403i | −0.0984986 | + | 0.367602i | ||||
\(903\) | 18.4730 | − | 10.7491i | 0.614742 | − | 0.357708i | ||||
\(904\) | −26.3913 | + | 7.07154i | −0.877763 | + | 0.235196i | ||||
\(905\) | 0.878420 | + | 3.27831i | 0.0291997 | + | 0.108975i | ||||
\(906\) | 4.23104 | − | 16.0075i | 0.140567 | − | 0.531815i | ||||
\(907\) | 41.8979 | − | 24.1897i | 1.39120 | − | 0.803207i | 0.397748 | − | 0.917495i | \(-0.369792\pi\) |
0.993448 | + | 0.114287i | \(0.0364584\pi\) | |||||||
\(908\) | 8.13128 | − | 8.13128i | 0.269846 | − | 0.269846i | ||||
\(909\) | 7.58190 | + | 4.30907i | 0.251476 | + | 0.142923i | ||||
\(910\) | 1.17493 | + | 0.0186649i | 0.0389485 | + | 0.000618735i | ||||
\(911\) | −29.2362 | + | 16.8795i | −0.968638 | + | 0.559244i | −0.898821 | − | 0.438316i | \(-0.855575\pi\) |
−0.0698176 | + | 0.997560i | \(0.522242\pi\) | |||||||
\(912\) | 0.0716964 | + | 21.1295i | 0.00237411 | + | 0.699668i | ||||
\(913\) | 24.7694 | − | 42.9019i | 0.819747 | − | 1.41984i | ||||
\(914\) | 5.88158 | − | 10.1872i | 0.194545 | − | 0.336962i | ||||
\(915\) | −1.20230 | + | 2.09886i | −0.0397469 | + | 0.0693862i | ||||
\(916\) | −11.4115 | − | 3.05770i | −0.377047 | − | 0.101029i | ||||
\(917\) | 22.2666 | − | 22.2666i | 0.735307 | − | 0.735307i | ||||
\(918\) | 16.0757 | − | 9.50081i | 0.530578 | − | 0.313573i | ||||
\(919\) | 18.9562 | 0.625306 | 0.312653 | − | 0.949867i | \(-0.398782\pi\) | ||||
0.312653 | + | 0.949867i | \(0.398782\pi\) | |||||||
\(920\) | 0.0651490 | + | 0.112841i | 0.00214790 | + | 0.00372027i | ||||
\(921\) | −23.1925 | + | 40.4872i | −0.764217 | + | 1.33410i | ||||
\(922\) | 7.33188 | + | 4.23307i | 0.241463 | + | 0.139409i | ||||
\(923\) | 9.75527 | + | 5.84075i | 0.321099 | + | 0.192251i | ||||
\(924\) | −23.6917 | − | 23.5315i | −0.779401 | − | 0.774129i | ||||
\(925\) | 7.04813 | + | 1.88854i | 0.231741 | + | 0.0620949i | ||||
\(926\) | 11.0565i | 0.363339i | ||||||||
\(927\) | 31.5986 | − | 0.214443i | 1.03784 | − | 0.00704323i | ||||
\(928\) | 15.9393 | − | 15.9393i | 0.523233 | − | 0.523233i | ||||
\(929\) | 14.5530 | − | 54.3124i | 0.477467 | − | 1.78193i | −0.134351 | − | 0.990934i | \(-0.542895\pi\) |
0.611819 | − | 0.790998i | \(-0.290438\pi\) | |||||||
\(930\) | −0.0583028 | − | 0.100197i | −0.00191182 | − | 0.00328558i | ||||
\(931\) | 15.6802 | − | 4.20150i | 0.513898 | − | 0.137699i | ||||
\(932\) | 2.85032 | + | 1.64564i | 0.0933655 | + | 0.0539046i | ||||
\(933\) | −26.3861 | − | 6.97426i | −0.863842 | − | 0.228327i | ||||
\(934\) | 1.20755 | − | 4.50664i | 0.0395123 | − | 0.147462i | ||||
\(935\) | −5.49415 | −0.179678 | ||||||||
\(936\) | 0.173119 | − | 19.0272i | 0.00565859 | − | 0.621923i | ||||
\(937\) | 14.8067 | 0.483715 | 0.241858 | − | 0.970312i | \(-0.422243\pi\) | ||||
0.241858 | + | 0.970312i | \(0.422243\pi\) | |||||||
\(938\) | −1.10800 | + | 4.13512i | −0.0361775 | + | 0.135016i | ||||
\(939\) | −33.9350 | + | 34.1661i | −1.10743 | + | 1.11497i | ||||
\(940\) | 3.65283 | + | 2.10896i | 0.119142 | + | 0.0687867i | ||||
\(941\) | −56.4212 | + | 15.1180i | −1.83928 | + | 0.492833i | −0.998798 | − | 0.0490079i | \(-0.984394\pi\) |
−0.840481 | + | 0.541841i | \(0.817727\pi\) | |||||||
\(942\) | −1.47613 | + | 2.57689i | −0.0480951 | + | 0.0839597i | ||||
\(943\) | 0.663106 | − | 2.47474i | 0.0215937 | − | 0.0805887i | ||||
\(944\) | 18.6805 | − | 18.6805i | 0.607998 | − | 0.607998i | ||||
\(945\) | 2.54936 | − | 2.60180i | 0.0829307 | − | 0.0846366i | ||||
\(946\) | − | 5.81644i | − | 0.189109i | ||||||
\(947\) | −26.8408 | − | 7.19197i | −0.872209 | − | 0.233708i | −0.205166 | − | 0.978727i | \(-0.565773\pi\) |
−0.667043 | + | 0.745019i | \(0.732440\pi\) | |||||||
\(948\) | 22.8359 | − | 6.20199i | 0.741676 | − | 0.201431i | ||||
\(949\) | −6.58031 | − | 3.93981i | −0.213606 | − | 0.127892i | ||||
\(950\) | 8.84824 | + | 5.10853i | 0.287075 | + | 0.165743i | ||||
\(951\) | 6.85102 | − | 0.0232468i | 0.222160 | − | 0.000753829i | ||||
\(952\) | −22.1978 | − | 38.4477i | −0.719434 | − | 1.24610i | ||||
\(953\) | −3.20152 | −0.103707 | −0.0518536 | − | 0.998655i | \(-0.516513\pi\) | ||||
−0.0518536 | + | 0.998655i | \(0.516513\pi\) | |||||||
\(954\) | −2.61517 | + | 0.719789i | −0.0846692 | + | 0.0233040i | ||||
\(955\) | 0.458570 | − | 0.458570i | 0.0148390 | − | 0.0148390i | ||||
\(956\) | 12.0509 | + | 3.22903i | 0.389754 | + | 0.104434i | ||||
\(957\) | 13.5510 | + | 23.2881i | 0.438041 | + | 0.752798i | ||||
\(958\) | 4.12534 | − | 7.14530i | 0.133284 | − | 0.230854i | ||||
\(959\) | −18.3157 | + | 31.7238i | −0.591446 | + | 1.02441i | ||||
\(960\) | 1.05105 | − | 0.611587i | 0.0339224 | − | 0.0197389i | ||||
\(961\) | 26.4575 | − | 15.2752i | 0.853467 | − | 0.492749i | ||||
\(962\) | 1.77335 | − | 1.71789i | 0.0571751 | − | 0.0553870i | ||||
\(963\) | 11.9985 | + | 20.4602i | 0.386648 | + | 0.659320i | ||||
\(964\) | −35.2248 | + | 35.2248i | −1.13451 | + | 1.13451i | ||||
\(965\) | 4.56152 | − | 2.63360i | 0.146841 | − | 0.0847785i | ||||
\(966\) | −0.643448 | − | 0.639096i | −0.0207026 | − | 0.0205626i | ||||
\(967\) | −7.87586 | − | 29.3931i | −0.253270 | − | 0.945218i | −0.969044 | − | 0.246886i | \(-0.920593\pi\) |
0.715774 | − | 0.698332i | \(-0.246074\pi\) | |||||||
\(968\) | 0.0720816 | − | 0.0193142i | 0.00231679 | − | 0.000620782i | ||||
\(969\) | −51.5383 | − | 29.5229i | −1.65565 | − | 0.948413i | ||||
\(970\) | 0.0700812 | − | 0.261547i | 0.00225017 | − | 0.00839776i | ||||
\(971\) | 42.2849i | 1.35699i | 0.734607 | + | 0.678493i | \(0.237367\pi\) | ||||
−0.734607 | + | 0.678493i | \(0.762633\pi\) | |||||||
\(972\) | −19.9938 | − | 19.3266i | −0.641300 | − | 0.619900i | ||||
\(973\) | −28.1427 | − | 28.1427i | −0.902214 | − | 0.902214i | ||||
\(974\) | −3.66719 | − | 6.35176i | −0.117504 | − | 0.203524i | ||||
\(975\) | 26.5970 | + | 15.8020i | 0.851785 | + | 0.506069i | ||||
\(976\) | 8.94260 | − | 15.4890i | 0.286246 | − | 0.495792i | ||||
\(977\) | 27.9693 | − | 7.49435i | 0.894817 | − | 0.239766i | 0.218028 | − | 0.975943i | \(-0.430038\pi\) |
0.676789 | + | 0.736177i | \(0.263371\pi\) | |||||||
\(978\) | 1.11721 | + | 1.10965i | 0.0357244 | + | 0.0354828i | ||||
\(979\) | −7.90635 | + | 4.56473i | −0.252688 | + | 0.145890i | ||||
\(980\) | −0.991076 | − | 0.991076i | −0.0316588 | − | 0.0316588i | ||||
\(981\) | 3.15864 | − | 12.1165i | 0.100848 | − | 0.386851i | ||||
\(982\) | 1.18418 | + | 1.18418i | 0.0377888 | + | 0.0377888i | ||||
\(983\) | −13.2183 | − | 3.54183i | −0.421598 | − | 0.112967i | 0.0417814 | − | 0.999127i | \(-0.486697\pi\) |
−0.463380 | + | 0.886160i | \(0.653363\pi\) | |||||||
\(984\) | 21.8782 | + | 5.78275i | 0.697452 | + | 0.184347i | ||||
\(985\) | −3.86144 | − | 2.22940i | −0.123036 | − | 0.0710347i | ||||
\(986\) | 4.37096 | + | 16.3126i | 0.139200 | + | 0.519500i | ||||
\(987\) | −60.2046 | − | 15.9130i | −1.91633 | − | 0.506517i | ||||
\(988\) | −24.9338 | + | 13.8722i | −0.793251 | + | 0.441335i | ||||
\(989\) | 1.30379i | 0.0414580i | ||||||||
\(990\) | −0.263062 | − | 0.955770i | −0.00836067 | − | 0.0303764i | ||||
\(991\) | 30.2905 | 0.962210 | 0.481105 | − | 0.876663i | \(-0.340236\pi\) | ||||
0.481105 | + | 0.876663i | \(0.340236\pi\) | |||||||
\(992\) | 1.60805 | + | 2.78522i | 0.0510555 | + | 0.0884307i | ||||
\(993\) | −0.100772 | − | 29.6982i | −0.00319789 | − | 0.942444i | ||||
\(994\) | 1.23885 | + | 4.62344i | 0.0392938 | + | 0.146647i | ||||
\(995\) | −0.818405 | − | 3.05433i | −0.0259452 | − | 0.0968287i | ||||
\(996\) | −40.1225 | − | 22.9836i | −1.27133 | − | 0.728263i | ||||
\(997\) | −3.40788 | − | 5.90262i | −0.107929 | − | 0.186938i | 0.807002 | − | 0.590548i | \(-0.201088\pi\) |
−0.914931 | + | 0.403610i | \(0.867755\pi\) | |||||||
\(998\) | 4.15103 | 0.131399 | ||||||||
\(999\) | −0.0779086 | − | 7.65320i | −0.00246492 | − | 0.242136i |
(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 | 117.2.z.b.5.6 | ✓ | 44 | |
3.2 | odd | 2 | 351.2.bc.b.44.6 | 44 | |||
9.2 | odd | 6 | inner | 117.2.z.b.83.6 | yes | 44 | |
9.7 | even | 3 | 351.2.bc.b.278.6 | 44 | |||
13.8 | odd | 4 | inner | 117.2.z.b.86.6 | yes | 44 | |
39.8 | even | 4 | 351.2.bc.b.125.6 | 44 | |||
117.34 | odd | 12 | 351.2.bc.b.8.6 | 44 | |||
117.47 | even | 12 | inner | 117.2.z.b.47.6 | yes | 44 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
117.2.z.b.5.6 | ✓ | 44 | 1.1 | even | 1 | trivial | |
117.2.z.b.47.6 | yes | 44 | 117.47 | even | 12 | inner | |
117.2.z.b.83.6 | yes | 44 | 9.2 | odd | 6 | inner | |
117.2.z.b.86.6 | yes | 44 | 13.8 | odd | 4 | inner | |
351.2.bc.b.8.6 | 44 | 117.34 | odd | 12 | |||
351.2.bc.b.44.6 | 44 | 3.2 | odd | 2 | |||
351.2.bc.b.125.6 | 44 | 39.8 | even | 4 | |||
351.2.bc.b.278.6 | 44 | 9.7 | even | 3 |