Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [304,2,Mod(5,304)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(304, base_ring=CyclotomicField(36))
chi = DirichletCharacter(H, H._module([0, 9, 32]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("304.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 304 = 2^{4} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 304.bi (of order \(36\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.42745222145\) |
Analytic rank: | \(0\) |
Dimension: | \(456\) |
Relative dimension: | \(38\) over \(\Q(\zeta_{36})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{36}]$ |
Embedding invariants
Embedding label | 157.14 | ||
Character | \(\chi\) | \(=\) | 304.157 |
Dual form | 304.2.bi.a.213.14 |
$q$-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 \(\left(\mathbb{Z}/304\mathbb{Z}\right)^\times\).
\(n\) | \(97\) | \(191\) | \(229\) |
\(\chi(n)\) | \(e\left(\frac{8}{9}\right)\) | \(1\) | \(e\left(\frac{3}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.628429 | + | 1.26692i | −0.444366 | + | 0.895845i | ||||
\(3\) | −1.28329 | + | 0.898567i | −0.740906 | + | 0.518788i | −0.882024 | − | 0.471205i | \(-0.843819\pi\) |
0.141118 | + | 0.989993i | \(0.454930\pi\) | |||||||
\(4\) | −1.21016 | − | 1.59233i | −0.605078 | − | 0.796167i | ||||
\(5\) | 3.36854 | − | 0.294709i | 1.50646 | − | 0.131798i | 0.696190 | − | 0.717858i | \(-0.254877\pi\) |
0.810268 | + | 0.586060i | \(0.199322\pi\) | |||||||
\(6\) | −0.331955 | − | 2.19050i | −0.135520 | − | 0.894269i | ||||
\(7\) | −3.47194 | + | 2.00453i | −1.31227 | + | 0.757640i | −0.982472 | − | 0.186412i | \(-0.940314\pi\) |
−0.329799 | + | 0.944051i | \(0.606981\pi\) | |||||||
\(8\) | 2.77785 | − | 0.532498i | 0.982118 | − | 0.188266i | ||||
\(9\) | −0.186659 | + | 0.512841i | −0.0622196 | + | 0.170947i | ||||
\(10\) | −1.74352 | + | 4.45287i | −0.551348 | + | 1.40812i | ||||
\(11\) | 0.281049 | + | 1.04889i | 0.0847393 | + | 0.316251i | 0.995265 | − | 0.0972017i | \(-0.0309892\pi\) |
−0.910525 | + | 0.413453i | \(0.864323\pi\) | |||||||
\(12\) | 2.98379 | + | 0.956014i | 0.861347 | + | 0.275978i | ||||
\(13\) | −1.08451 | + | 1.54884i | −0.300790 | + | 0.429572i | −0.940886 | − | 0.338722i | \(-0.890005\pi\) |
0.640097 | + | 0.768294i | \(0.278894\pi\) | |||||||
\(14\) | −0.357700 | − | 5.65836i | −0.0955995 | − | 1.51226i | ||||
\(15\) | −4.05799 | + | 3.40506i | −1.04777 | + | 0.879182i | ||||
\(16\) | −1.07105 | + | 3.85394i | −0.267762 | + | 0.963485i | ||||
\(17\) | −2.40935 | + | 0.876933i | −0.584354 | + | 0.212687i | −0.617244 | − | 0.786771i | \(-0.711751\pi\) |
0.0328903 | + | 0.999459i | \(0.489529\pi\) | |||||||
\(18\) | −0.532425 | − | 0.558765i | −0.125494 | − | 0.131702i | ||||
\(19\) | −4.12020 | + | 1.42265i | −0.945239 | + | 0.326378i | ||||
\(20\) | −4.54573 | − | 5.00720i | −1.01646 | − | 1.11964i | ||||
\(21\) | 2.65429 | − | 5.69215i | 0.579214 | − | 1.24213i | ||||
\(22\) | −1.50547 | − | 0.303086i | −0.320968 | − | 0.0646181i | ||||
\(23\) | 1.77884 | + | 2.11994i | 0.370914 | + | 0.442038i | 0.918925 | − | 0.394433i | \(-0.129059\pi\) |
−0.548011 | + | 0.836471i | \(0.684615\pi\) | |||||||
\(24\) | −3.08629 | + | 3.17943i | −0.629987 | + | 0.648999i | ||||
\(25\) | 6.33618 | − | 1.11724i | 1.26724 | − | 0.223448i | ||||
\(26\) | −1.28072 | − | 2.34732i | −0.251169 | − | 0.460348i | ||||
\(27\) | −1.43769 | − | 5.36551i | −0.276683 | − | 1.03259i | ||||
\(28\) | 7.39346 | + | 3.10270i | 1.39723 | + | 0.586355i | ||||
\(29\) | −0.812738 | − | 1.74292i | −0.150922 | − | 0.323653i | 0.816282 | − | 0.577653i | \(-0.196031\pi\) |
−0.967204 | + | 0.254000i | \(0.918254\pi\) | |||||||
\(30\) | −1.76377 | − | 7.28097i | −0.322018 | − | 1.32932i | ||||
\(31\) | −1.98792 | − | 3.44318i | −0.357041 | − | 0.618413i | 0.630424 | − | 0.776251i | \(-0.282881\pi\) |
−0.987465 | + | 0.157838i | \(0.949548\pi\) | |||||||
\(32\) | −4.20954 | − | 3.77886i | −0.744149 | − | 0.668014i | ||||
\(33\) | −1.30316 | − | 1.09348i | −0.226851 | − | 0.190351i | ||||
\(34\) | 0.403106 | − | 3.60354i | 0.0691320 | − | 0.618002i | ||||
\(35\) | −11.1046 | + | 7.77554i | −1.87702 | + | 1.31431i | ||||
\(36\) | 1.04250 | − | 0.323394i | 0.173750 | − | 0.0538990i | ||||
\(37\) | −8.54634 | + | 8.54634i | −1.40501 | + | 1.40501i | −0.621961 | + | 0.783048i | \(0.713664\pi\) |
−0.783048 | + | 0.621961i | \(0.786336\pi\) | |||||||
\(38\) | 0.786877 | − | 6.11399i | 0.127648 | − | 0.991819i | ||||
\(39\) | − | 2.96212i | − | 0.474318i | ||||||
\(40\) | 9.20037 | − | 2.61240i | 1.45471 | − | 0.413057i | ||||
\(41\) | −2.00456 | − | 0.353458i | −0.313060 | − | 0.0552009i | 0.0149109 | − | 0.999889i | \(-0.495254\pi\) |
−0.327970 | + | 0.944688i | \(0.606365\pi\) | |||||||
\(42\) | 5.54345 | + | 6.93988i | 0.855373 | + | 1.07085i | ||||
\(43\) | 11.2216 | − | 0.981760i | 1.71127 | − | 0.149717i | 0.811001 | − | 0.585045i | \(-0.198923\pi\) |
0.900272 | + | 0.435328i | \(0.143368\pi\) | |||||||
\(44\) | 1.33007 | − | 1.71684i | 0.200515 | − | 0.258823i | ||||
\(45\) | −0.477629 | + | 1.78254i | −0.0712007 | + | 0.265725i | ||||
\(46\) | −3.80366 | + | 0.921412i | −0.560819 | + | 0.135855i | ||||
\(47\) | 9.49300 | + | 3.45517i | 1.38470 | + | 0.503988i | 0.923598 | − | 0.383361i | \(-0.125234\pi\) |
0.461097 | + | 0.887350i | \(0.347456\pi\) | |||||||
\(48\) | −2.08856 | − | 5.90812i | −0.301458 | − | 0.852763i | ||||
\(49\) | 4.53625 | − | 7.85702i | 0.648036 | − | 1.12243i | ||||
\(50\) | −2.56639 | + | 8.72952i | −0.362942 | + | 1.23454i | ||||
\(51\) | 2.30391 | − | 3.29032i | 0.322612 | − | 0.460737i | ||||
\(52\) | 3.77870 | − | 0.147437i | 0.524012 | − | 0.0204458i | ||||
\(53\) | −0.825423 | + | 9.43463i | −0.113381 | + | 1.29595i | 0.699970 | + | 0.714172i | \(0.253197\pi\) |
−0.813351 | + | 0.581774i | \(0.802359\pi\) | |||||||
\(54\) | 7.70114 | + | 1.55042i | 1.04799 | + | 0.210985i | ||||
\(55\) | 1.25584 | + | 3.45039i | 0.169338 | + | 0.465251i | ||||
\(56\) | −8.57712 | + | 7.41707i | −1.14617 | + | 0.991148i | ||||
\(57\) | 4.00906 | − | 5.52794i | 0.531012 | − | 0.732194i | ||||
\(58\) | 2.71888 | + | 0.0656309i | 0.357007 | + | 0.00861776i | ||||
\(59\) | −2.74714 | + | 5.89126i | −0.357647 | + | 0.766976i | 0.642353 | + | 0.766409i | \(0.277958\pi\) |
−1.00000 | 0.000567212i | \(0.999819\pi\) | ||||||||
\(60\) | 10.3328 | + | 2.34102i | 1.33396 | + | 0.302225i | ||||
\(61\) | 6.70707 | + | 0.586793i | 0.858752 | + | 0.0751311i | 0.508021 | − | 0.861345i | \(-0.330377\pi\) |
0.350732 | + | 0.936476i | \(0.385933\pi\) | |||||||
\(62\) | 5.61149 | − | 0.354737i | 0.712660 | − | 0.0450517i | ||||
\(63\) | −0.379934 | − | 2.15471i | −0.0478672 | − | 0.271469i | ||||
\(64\) | 7.43289 | − | 2.95840i | 0.929111 | − | 0.369800i | ||||
\(65\) | −3.19677 | + | 5.53696i | −0.396510 | + | 0.686776i | ||||
\(66\) | 2.20429 | − | 0.963821i | 0.271330 | − | 0.118638i | ||||
\(67\) | 4.72769 | + | 10.1386i | 0.577579 | + | 1.23862i | 0.950490 | + | 0.310755i | \(0.100582\pi\) |
−0.372911 | + | 0.927867i | \(0.621640\pi\) | |||||||
\(68\) | 4.31206 | + | 2.77527i | 0.522914 | + | 0.336551i | ||||
\(69\) | −4.18767 | − | 1.12208i | −0.504136 | − | 0.135083i | ||||
\(70\) | −2.87250 | − | 18.9550i | −0.343329 | − | 2.26556i | ||||
\(71\) | −0.517409 | + | 0.616623i | −0.0614051 | + | 0.0731797i | −0.795873 | − | 0.605464i | \(-0.792988\pi\) |
0.734468 | + | 0.678644i | \(0.237432\pi\) | |||||||
\(72\) | −0.245423 | + | 1.52399i | −0.0289234 | + | 0.179604i | ||||
\(73\) | 1.17353 | + | 0.206925i | 0.137352 | + | 0.0242188i | 0.241901 | − | 0.970301i | \(-0.422229\pi\) |
−0.104550 | + | 0.994520i | \(0.533340\pi\) | |||||||
\(74\) | −5.45673 | − | 16.1983i | −0.634332 | − | 1.88301i | ||||
\(75\) | −7.12722 | + | 7.12722i | −0.822981 | + | 0.822981i | ||||
\(76\) | 7.25141 | + | 4.83911i | 0.831794 | + | 0.555084i | ||||
\(77\) | −3.07831 | − | 3.07831i | −0.350806 | − | 0.350806i | ||||
\(78\) | 3.75276 | + | 1.86148i | 0.424916 | + | 0.210771i | ||||
\(79\) | 2.49804 | − | 14.1671i | 0.281052 | − | 1.59392i | −0.438006 | − | 0.898972i | \(-0.644315\pi\) |
0.719057 | − | 0.694951i | \(-0.244574\pi\) | |||||||
\(80\) | −2.47208 | + | 13.2978i | −0.276387 | + | 1.48674i | ||||
\(81\) | 5.41202 | + | 4.54123i | 0.601336 | + | 0.504581i | ||||
\(82\) | 1.70752 | − | 2.31749i | 0.188565 | − | 0.255924i | ||||
\(83\) | −0.889285 | + | 3.31886i | −0.0976117 | + | 0.364292i | −0.997402 | − | 0.0720298i | \(-0.977052\pi\) |
0.899791 | + | 0.436322i | \(0.143719\pi\) | |||||||
\(84\) | −12.2759 | + | 2.66187i | −1.33941 | + | 0.290433i | ||||
\(85\) | −7.85757 | + | 3.66404i | −0.852273 | + | 0.397421i | ||||
\(86\) | −5.80814 | + | 14.8338i | −0.626308 | + | 1.59956i | ||||
\(87\) | 2.60911 | + | 1.50637i | 0.279726 | + | 0.161500i | ||||
\(88\) | 1.33924 | + | 2.76399i | 0.142764 | + | 0.294643i | ||||
\(89\) | 11.6476 | − | 2.05378i | 1.23464 | − | 0.217701i | 0.482024 | − | 0.876158i | \(-0.339902\pi\) |
0.752618 | + | 0.658457i | \(0.228791\pi\) | |||||||
\(90\) | −1.95817 | − | 1.72531i | −0.206409 | − | 0.181864i | ||||
\(91\) | 0.660664 | − | 7.55143i | 0.0692564 | − | 0.791605i | ||||
\(92\) | 1.22298 | − | 5.39796i | 0.127504 | − | 0.562776i | ||||
\(93\) | 5.64500 | + | 2.63231i | 0.585359 | + | 0.272958i | ||||
\(94\) | −10.3431 | + | 9.85551i | −1.06681 | + | 1.01652i | ||||
\(95\) | −13.4598 | + | 6.00651i | −1.38095 | + | 0.616255i | ||||
\(96\) | 8.79760 | + | 1.06680i | 0.897902 | + | 0.108880i | ||||
\(97\) | 5.56979 | − | 2.02724i | 0.565526 | − | 0.205835i | −0.0434053 | − | 0.999058i | \(-0.513821\pi\) |
0.608931 | + | 0.793223i | \(0.291598\pi\) | |||||||
\(98\) | 7.10347 | + | 10.6846i | 0.717559 | + | 1.07931i | ||||
\(99\) | −0.590372 | − | 0.0516509i | −0.0593346 | − | 0.00519111i | ||||
\(100\) | −9.44678 | − | 8.73728i | −0.944678 | − | 0.873728i | ||||
\(101\) | −12.2776 | − | 8.59687i | −1.22167 | − | 0.855421i | −0.228664 | − | 0.973505i | \(-0.573436\pi\) |
−0.993004 | + | 0.118084i | \(0.962325\pi\) | |||||||
\(102\) | 2.72072 | + | 4.98659i | 0.269392 | + | 0.493746i | ||||
\(103\) | −0.731831 | − | 0.422523i | −0.0721095 | − | 0.0416324i | 0.463512 | − | 0.886091i | \(-0.346589\pi\) |
−0.535621 | + | 0.844458i | \(0.679923\pi\) | |||||||
\(104\) | −2.18786 | + | 4.87996i | −0.214537 | + | 0.478519i | ||||
\(105\) | 7.26357 | − | 19.9565i | 0.708852 | − | 1.94755i | ||||
\(106\) | −11.4342 | − | 6.97473i | −1.11058 | − | 0.677446i | ||||
\(107\) | −7.03608 | − | 1.88531i | −0.680203 | − | 0.182260i | −0.0978566 | − | 0.995201i | \(-0.531199\pi\) |
−0.582347 | + | 0.812941i | \(0.697865\pi\) | |||||||
\(108\) | −6.80386 | + | 8.78238i | −0.654702 | + | 0.845085i | ||||
\(109\) | −1.33183 | − | 15.2229i | −0.127566 | − | 1.45809i | −0.742677 | − | 0.669650i | \(-0.766444\pi\) |
0.615111 | − | 0.788441i | \(-0.289111\pi\) | |||||||
\(110\) | −5.16057 | − | 0.577281i | −0.492041 | − | 0.0550416i | ||||
\(111\) | 3.28794 | − | 18.6469i | 0.312078 | − | 1.76988i | ||||
\(112\) | −4.00670 | − | 15.5276i | −0.378598 | − | 1.46722i | ||||
\(113\) | 18.5120 | 1.74146 | 0.870730 | − | 0.491761i | \(-0.163647\pi\) | ||||
0.870730 | + | 0.491761i | \(0.163647\pi\) | |||||||
\(114\) | 4.48404 | + | 8.55306i | 0.419969 | + | 0.801067i | ||||
\(115\) | 6.61686 | + | 6.61686i | 0.617026 | + | 0.617026i | ||||
\(116\) | −1.79177 | + | 3.40336i | −0.166362 | + | 0.315994i | ||||
\(117\) | −0.591876 | − | 0.845287i | −0.0547190 | − | 0.0781468i | ||||
\(118\) | −5.73735 | − | 7.18263i | −0.528166 | − | 0.661214i | ||||
\(119\) | 6.60730 | − | 7.87427i | 0.605690 | − | 0.721833i | ||||
\(120\) | −9.45929 | + | 11.6196i | −0.863511 | + | 1.06072i | ||||
\(121\) | 8.50510 | − | 4.91042i | 0.773191 | − | 0.446402i | ||||
\(122\) | −4.95833 | + | 8.12854i | −0.448906 | + | 0.735924i | ||||
\(123\) | 2.89003 | − | 1.34764i | 0.260585 | − | 0.121513i | ||||
\(124\) | −3.07700 | + | 7.33222i | −0.276323 | + | 0.658452i | ||||
\(125\) | 4.68348 | − | 1.25494i | 0.418904 | − | 0.112245i | ||||
\(126\) | 2.96861 | + | 0.872739i | 0.264464 | + | 0.0777498i | ||||
\(127\) | 0.317111 | + | 1.79843i | 0.0281391 | + | 0.159585i | 0.995639 | − | 0.0932850i | \(-0.0297368\pi\) |
−0.967500 | + | 0.252870i | \(0.918626\pi\) | |||||||
\(128\) | −0.922998 | + | 11.2760i | −0.0815822 | + | 0.996667i | ||||
\(129\) | −13.5183 | + | 11.3432i | −1.19022 | + | 0.998714i | ||||
\(130\) | −5.00593 | − | 7.52962i | −0.439049 | − | 0.660391i | ||||
\(131\) | 10.0177 | + | 4.67134i | 0.875252 | + | 0.408137i | 0.807710 | − | 0.589580i | \(-0.200707\pi\) |
0.0675419 | + | 0.997716i | \(0.478484\pi\) | |||||||
\(132\) | −0.164160 | + | 3.39835i | −0.0142883 | + | 0.295788i | ||||
\(133\) | 11.4534 | − | 13.1984i | 0.993133 | − | 1.14445i | ||||
\(134\) | −15.8157 | − | 0.381774i | −1.36627 | − | 0.0329803i | ||||
\(135\) | −6.42417 | − | 17.6503i | −0.552905 | − | 1.51909i | ||||
\(136\) | −6.22586 | + | 3.71896i | −0.533863 | + | 0.318898i | ||||
\(137\) | 2.66035 | + | 3.17048i | 0.227289 | + | 0.270872i | 0.867621 | − | 0.497225i | \(-0.165648\pi\) |
−0.640332 | + | 0.768098i | \(0.721203\pi\) | |||||||
\(138\) | 4.05324 | − | 4.60028i | 0.345034 | − | 0.391602i | ||||
\(139\) | 13.1947 | + | 9.23901i | 1.11916 | + | 0.783643i | 0.978465 | − | 0.206411i | \(-0.0661783\pi\) |
0.140692 | + | 0.990053i | \(0.455067\pi\) | |||||||
\(140\) | 25.8196 | + | 8.27265i | 2.18215 | + | 0.699167i | ||||
\(141\) | −15.2869 | + | 4.09612i | −1.28739 | + | 0.344956i | ||||
\(142\) | −0.456056 | − | 1.04302i | −0.0382714 | − | 0.0875281i | ||||
\(143\) | −1.92936 | − | 0.702231i | −0.161341 | − | 0.0587235i | ||||
\(144\) | −1.77654 | − | 1.26865i | −0.148045 | − | 0.105721i | ||||
\(145\) | −3.25140 | − | 5.63159i | −0.270014 | − | 0.467678i | ||||
\(146\) | −0.999639 | + | 1.35673i | −0.0827307 | + | 0.112284i | ||||
\(147\) | 1.23875 | + | 14.1589i | 0.102170 | + | 1.16781i | ||||
\(148\) | 23.9510 | + | 3.26622i | 1.96876 | + | 0.268482i | ||||
\(149\) | −3.02537 | − | 4.32067i | −0.247848 | − | 0.353963i | 0.675881 | − | 0.737011i | \(-0.263763\pi\) |
−0.923729 | + | 0.383048i | \(0.874875\pi\) | |||||||
\(150\) | −4.55065 | − | 13.5085i | −0.371559 | − | 1.10297i | ||||
\(151\) | 0.720114i | 0.0586021i | 0.999571 | + | 0.0293010i | \(0.00932814\pi\) | ||||
−0.999571 | + | 0.0293010i | \(0.990672\pi\) | |||||||
\(152\) | −10.6877 | + | 6.14590i | −0.866891 | + | 0.498498i | ||||
\(153\) | − | 1.39930i | − | 0.113127i | ||||||
\(154\) | 5.83445 | − | 1.96546i | 0.470154 | − | 0.158381i | ||||
\(155\) | −7.71113 | − | 11.0126i | −0.619373 | − | 0.884556i | ||||
\(156\) | −4.71668 | + | 3.58462i | −0.377636 | + | 0.286999i | ||||
\(157\) | 1.16963 | + | 13.3689i | 0.0933464 | + | 1.06695i | 0.887985 | + | 0.459872i | \(0.152105\pi\) |
−0.794639 | + | 0.607083i | \(0.792340\pi\) | |||||||
\(158\) | 16.3787 | + | 12.0678i | 1.30302 | + | 0.960064i | ||||
\(159\) | −7.41839 | − | 12.8490i | −0.588317 | − | 1.01899i | ||||
\(160\) | −15.2937 | − | 11.4886i | −1.20907 | − | 0.908257i | ||||
\(161\) | −10.4255 | − | 3.79457i | −0.821645 | − | 0.299054i | ||||
\(162\) | −9.15442 | + | 4.00274i | −0.719239 | + | 0.314485i | ||||
\(163\) | −0.464326 | + | 0.124416i | −0.0363689 | + | 0.00974501i | −0.276958 | − | 0.960882i | \(-0.589326\pi\) |
0.240589 | + | 0.970627i | \(0.422659\pi\) | |||||||
\(164\) | 1.86301 | + | 3.61967i | 0.145476 | + | 0.282648i | ||||
\(165\) | −4.71201 | − | 3.29939i | −0.366830 | − | 0.256857i | ||||
\(166\) | −3.64586 | − | 3.21231i | −0.282974 | − | 0.249324i | ||||
\(167\) | −4.29449 | − | 5.11797i | −0.332317 | − | 0.396040i | 0.573849 | − | 0.818961i | \(-0.305449\pi\) |
−0.906167 | + | 0.422920i | \(0.861005\pi\) | |||||||
\(168\) | 4.34217 | − | 17.2253i | 0.335006 | − | 1.32896i | ||||
\(169\) | 3.22351 | + | 8.85652i | 0.247962 | + | 0.681271i | ||||
\(170\) | 0.295882 | − | 12.2575i | 0.0226931 | − | 0.940105i | ||||
\(171\) | 0.0394801 | − | 2.37856i | 0.00301912 | − | 0.181893i | ||||
\(172\) | −15.1431 | − | 16.6804i | −1.15465 | − | 1.27187i | ||||
\(173\) | −6.65081 | − | 3.10132i | −0.505652 | − | 0.235789i | 0.153015 | − | 0.988224i | \(-0.451102\pi\) |
−0.658667 | + | 0.752435i | \(0.728879\pi\) | |||||||
\(174\) | −3.54808 | + | 2.35888i | −0.268979 | + | 0.178826i | ||||
\(175\) | −19.7593 | + | 16.5800i | −1.49366 | + | 1.25333i | ||||
\(176\) | −4.34337 | − | 0.0402658i | −0.327394 | − | 0.00303515i | ||||
\(177\) | −1.76832 | − | 10.0287i | −0.132915 | − | 0.753800i | ||||
\(178\) | −4.71770 | + | 16.0472i | −0.353607 | + | 1.20279i | ||||
\(179\) | 6.83764 | − | 1.83214i | 0.511069 | − | 0.136941i | 0.00593676 | − | 0.999982i | \(-0.498110\pi\) |
0.505133 | + | 0.863042i | \(0.331444\pi\) | |||||||
\(180\) | 3.41639 | − | 1.39660i | 0.254643 | − | 0.104096i | ||||
\(181\) | −10.1151 | + | 4.71673i | −0.751847 | + | 0.350592i | −0.760472 | − | 0.649371i | \(-0.775032\pi\) |
0.00862483 | + | 0.999963i | \(0.497255\pi\) | |||||||
\(182\) | 9.15185 | + | 5.58254i | 0.678380 | + | 0.413805i | ||||
\(183\) | −9.13436 | + | 5.27373i | −0.675232 | + | 0.389845i | ||||
\(184\) | 6.07021 | + | 4.94164i | 0.447502 | + | 0.364303i | ||||
\(185\) | −26.2700 | + | 31.3074i | −1.93141 | + | 2.30176i | ||||
\(186\) | −6.88239 | + | 5.49753i | −0.504641 | + | 0.403098i | ||||
\(187\) | −1.59695 | − | 2.28068i | −0.116781 | − | 0.166780i | ||||
\(188\) | −5.98622 | − | 19.2973i | −0.436590 | − | 1.40740i | ||||
\(189\) | 15.7469 | + | 15.7469i | 1.14542 | + | 1.14542i | ||||
\(190\) | 0.848780 | − | 20.8271i | 0.0615769 | − | 1.51096i | ||||
\(191\) | 0.999325 | 0.0723086 | 0.0361543 | − | 0.999346i | \(-0.488489\pi\) | ||||
0.0361543 | + | 0.999346i | \(0.488489\pi\) | |||||||
\(192\) | −6.88021 | + | 10.4754i | −0.496536 | + | 0.755998i | ||||
\(193\) | −2.94982 | + | 16.7293i | −0.212333 | + | 1.20420i | 0.673143 | + | 0.739513i | \(0.264944\pi\) |
−0.885475 | + | 0.464686i | \(0.846167\pi\) | |||||||
\(194\) | −0.931873 | + | 8.33043i | −0.0669046 | + | 0.598090i | ||||
\(195\) | −0.872963 | − | 9.97802i | −0.0625142 | − | 0.714541i | ||||
\(196\) | −18.0006 | + | 2.28499i | −1.28575 | + | 0.163213i | ||||
\(197\) | −6.03106 | − | 1.61602i | −0.429695 | − | 0.115136i | 0.0374880 | − | 0.999297i | \(-0.488064\pi\) |
−0.467183 | + | 0.884161i | \(0.654731\pi\) | |||||||
\(198\) | 0.436444 | − | 0.715494i | 0.0310167 | − | 0.0508479i | ||||
\(199\) | −4.05095 | + | 11.1299i | −0.287164 | + | 0.788976i | 0.709296 | + | 0.704911i | \(0.249013\pi\) |
−0.996460 | + | 0.0840659i | \(0.973209\pi\) | |||||||
\(200\) | 17.0060 | − | 6.47753i | 1.20251 | − | 0.458030i | ||||
\(201\) | −15.1771 | − | 8.76253i | −1.07051 | − | 0.618061i | ||||
\(202\) | 18.6071 | − | 10.1522i | 1.30919 | − | 0.714305i | ||||
\(203\) | 6.31551 | + | 4.42217i | 0.443262 | + | 0.310375i | ||||
\(204\) | −8.02737 | + | 0.313211i | −0.562029 | + | 0.0219291i | ||||
\(205\) | −6.85661 | − | 0.599876i | −0.478886 | − | 0.0418971i | ||||
\(206\) | 0.995205 | − | 0.661644i | 0.0693392 | − | 0.0460989i | ||||
\(207\) | −1.41923 | + | 0.516556i | −0.0986431 | + | 0.0359032i | ||||
\(208\) | −4.80759 | − | 5.83853i | −0.333346 | − | 0.404829i | ||||
\(209\) | −2.65017 | − | 3.92180i | −0.183316 | − | 0.271276i | ||||
\(210\) | 20.7186 | + | 21.7436i | 1.42972 | + | 1.50045i | ||||
\(211\) | −1.04457 | − | 0.487093i | −0.0719115 | − | 0.0335329i | 0.386330 | − | 0.922361i | \(-0.373743\pi\) |
−0.458241 | + | 0.888828i | \(0.651520\pi\) | |||||||
\(212\) | 16.0220 | − | 10.1030i | 1.10039 | − | 0.693878i | ||||
\(213\) | 0.109906 | − | 1.25623i | 0.00753063 | − | 0.0860755i | ||||
\(214\) | 6.81020 | − | 7.72934i | 0.465536 | − | 0.528367i | ||||
\(215\) | 37.5110 | − | 6.61420i | 2.55823 | − | 0.451085i | ||||
\(216\) | −6.85080 | − | 14.1390i | −0.466138 | − | 0.962039i | ||||
\(217\) | 13.8039 | + | 7.96968i | 0.937069 | + | 0.541017i | ||||
\(218\) | 20.1231 | + | 7.87919i | 1.36291 | + | 0.533646i | ||||
\(219\) | −1.69192 | + | 0.788953i | −0.114329 | + | 0.0533125i | ||||
\(220\) | 3.97441 | − | 6.17523i | 0.267955 | − | 0.416334i | ||||
\(221\) | 1.25474 | − | 4.68276i | 0.0844030 | − | 0.314996i | ||||
\(222\) | 21.5578 | + | 15.8838i | 1.44686 | + | 1.06605i | ||||
\(223\) | −1.85211 | − | 1.55410i | −0.124026 | − | 0.104070i | 0.578665 | − | 0.815565i | \(-0.303574\pi\) |
−0.702691 | + | 0.711495i | \(0.748018\pi\) | |||||||
\(224\) | 22.1901 | + | 4.68183i | 1.48264 | + | 0.312818i | ||||
\(225\) | −0.609738 | + | 3.45799i | −0.0406492 | + | 0.230533i | ||||
\(226\) | −11.6335 | + | 23.4531i | −0.773846 | + | 1.56008i | ||||
\(227\) | −15.7311 | − | 15.7311i | −1.04411 | − | 1.04411i | −0.998981 | − | 0.0451312i | \(-0.985629\pi\) |
−0.0451312 | − | 0.998981i | \(-0.514371\pi\) | |||||||
\(228\) | −13.6539 | + | 0.305915i | −0.904252 | + | 0.0202597i | ||||
\(229\) | 9.36999 | − | 9.36999i | 0.619187 | − | 0.619187i | −0.326136 | − | 0.945323i | \(-0.605747\pi\) |
0.945323 | + | 0.326136i | \(0.105747\pi\) | |||||||
\(230\) | −12.5412 | + | 4.22479i | −0.826945 | + | 0.278574i | ||||
\(231\) | 6.71641 | + | 1.18428i | 0.441908 | + | 0.0779202i | ||||
\(232\) | −3.18577 | − | 4.40879i | −0.209156 | − | 0.289451i | ||||
\(233\) | 6.02861 | − | 7.18462i | 0.394948 | − | 0.470680i | −0.531525 | − | 0.847043i | \(-0.678381\pi\) |
0.926473 | + | 0.376362i | \(0.122825\pi\) | |||||||
\(234\) | 1.44286 | − | 0.218655i | 0.0943227 | − | 0.0142940i | ||||
\(235\) | 32.9958 | + | 8.84120i | 2.15241 | + | 0.576737i | ||||
\(236\) | 12.7053 | − | 2.75498i | 0.827045 | − | 0.179334i | ||||
\(237\) | 9.52438 | + | 20.4251i | 0.618675 | + | 1.32675i | ||||
\(238\) | 5.82383 | + | 13.3193i | 0.377503 | + | 0.863363i | ||||
\(239\) | −4.42583 | + | 7.66577i | −0.286283 | + | 0.495857i | −0.972920 | − | 0.231144i | \(-0.925753\pi\) |
0.686636 | + | 0.727001i | \(0.259086\pi\) | |||||||
\(240\) | −8.77658 | − | 19.2862i | −0.566526 | − | 1.24492i | ||||
\(241\) | 2.35661 | + | 13.3650i | 0.151802 | + | 0.860914i | 0.961651 | + | 0.274276i | \(0.0884380\pi\) |
−0.809849 | + | 0.586639i | \(0.800451\pi\) | |||||||
\(242\) | 0.876247 | + | 13.8611i | 0.0563273 | + | 0.891026i | ||||
\(243\) | 5.57519 | + | 0.487766i | 0.357649 | + | 0.0312902i | ||||
\(244\) | −7.18223 | − | 11.3900i | −0.459795 | − | 0.729170i | ||||
\(245\) | 12.9650 | − | 27.8036i | 0.828304 | − | 1.77630i | ||||
\(246\) | −0.108826 | + | 4.50832i | −0.00693849 | + | 0.287440i | ||||
\(247\) | 2.26495 | − | 7.92443i | 0.144115 | − | 0.504219i | ||||
\(248\) | −7.35563 | − | 8.50607i | −0.467083 | − | 0.540136i | ||||
\(249\) | −1.84101 | − | 5.05813i | −0.116669 | − | 0.320546i | ||||
\(250\) | −1.35334 | + | 6.72222i | −0.0855925 | + | 0.425151i | ||||
\(251\) | −1.68450 | + | 19.2539i | −0.106324 | + | 1.21529i | 0.736248 | + | 0.676712i | \(0.236596\pi\) |
−0.842573 | + | 0.538583i | \(0.818960\pi\) | |||||||
\(252\) | −2.97124 | + | 3.21252i | −0.187171 | + | 0.202370i | ||||
\(253\) | −1.72364 | + | 2.46161i | −0.108364 | + | 0.154760i | ||||
\(254\) | −2.47774 | − | 0.728429i | −0.155467 | − | 0.0457057i | ||||
\(255\) | 6.79112 | − | 11.7626i | 0.425277 | − | 0.736601i | ||||
\(256\) | −13.7057 | − | 8.25552i | −0.856607 | − | 0.515970i | ||||
\(257\) | −12.5930 | − | 4.58348i | −0.785530 | − | 0.285910i | −0.0820536 | − | 0.996628i | \(-0.526148\pi\) |
−0.703477 | + | 0.710718i | \(0.748370\pi\) | |||||||
\(258\) | −5.87561 | − | 24.2550i | −0.365799 | − | 1.51005i | ||||
\(259\) | 12.5410 | − | 46.8037i | 0.779261 | − | 2.90824i | ||||
\(260\) | 12.6853 | − | 1.61027i | 0.786707 | − | 0.0998644i | ||||
\(261\) | 1.04555 | − | 0.0914734i | 0.0647177 | − | 0.00566206i | ||||
\(262\) | −12.2136 | + | 9.75601i | −0.754560 | + | 0.602728i | ||||
\(263\) | −26.6765 | − | 4.70379i | −1.64495 | − | 0.290048i | −0.726966 | − | 0.686674i | \(-0.759070\pi\) |
−0.917981 | + | 0.396625i | \(0.870181\pi\) | |||||||
\(264\) | −4.20226 | − | 2.34360i | −0.258631 | − | 0.144238i | ||||
\(265\) | 32.0242i | 1.96723i | ||||||||
\(266\) | 9.52365 | + | 22.8047i | 0.583933 | + | 1.39825i | ||||
\(267\) | −13.1017 | + | 13.1017i | −0.801813 | + | 0.801813i | ||||
\(268\) | 10.4227 | − | 19.7973i | 0.636669 | − | 1.20931i | ||||
\(269\) | 16.9935 | − | 11.8989i | 1.03611 | − | 0.725492i | 0.0737516 | − | 0.997277i | \(-0.476503\pi\) |
0.962358 | + | 0.271785i | \(0.0876139\pi\) | |||||||
\(270\) | 26.3985 | + | 2.95304i | 1.60656 | + | 0.179716i | ||||
\(271\) | −0.929939 | − | 0.780312i | −0.0564898 | − | 0.0474006i | 0.614106 | − | 0.789224i | \(-0.289517\pi\) |
−0.670595 | + | 0.741823i | \(0.733961\pi\) | |||||||
\(272\) | −0.799111 | − | 10.2247i | −0.0484532 | − | 0.619966i | ||||
\(273\) | 5.93764 | + | 10.2843i | 0.359362 | + | 0.622434i | ||||
\(274\) | −5.68857 | + | 1.37802i | −0.343659 | + | 0.0832492i | ||||
\(275\) | 2.95263 | + | 6.33194i | 0.178051 | + | 0.381831i | ||||
\(276\) | 3.28100 | + | 8.02606i | 0.197493 | + | 0.483112i | ||||
\(277\) | 7.72701 | + | 28.8376i | 0.464271 | + | 1.73268i | 0.659295 | + | 0.751884i | \(0.270855\pi\) |
−0.195024 | + | 0.980798i | \(0.562479\pi\) | |||||||
\(278\) | −19.9970 | + | 10.9105i | −1.19934 | + | 0.654368i | ||||
\(279\) | 2.13687 | − | 0.376787i | 0.127931 | − | 0.0225577i | ||||
\(280\) | −26.7065 | + | 27.5125i | −1.59602 | + | 1.64419i | ||||
\(281\) | −11.2078 | − | 13.3569i | −0.668602 | − | 0.796809i | 0.319991 | − | 0.947421i | \(-0.396320\pi\) |
−0.988593 | + | 0.150612i | \(0.951876\pi\) | |||||||
\(282\) | 4.41730 | − | 21.9414i | 0.263046 | − | 1.30659i | ||||
\(283\) | 7.22596 | − | 15.4961i | 0.429538 | − | 0.921148i | −0.565785 | − | 0.824553i | \(-0.691427\pi\) |
0.995324 | − | 0.0965956i | \(-0.0307953\pi\) | |||||||
\(284\) | 1.60801 | + | 0.0776767i | 0.0954181 | + | 0.00460926i | ||||
\(285\) | 11.8755 | − | 19.8026i | 0.703446 | − | 1.17301i | ||||
\(286\) | 2.10214 | − | 2.00304i | 0.124302 | − | 0.118442i | ||||
\(287\) | 7.66823 | − | 2.79101i | 0.452641 | − | 0.164748i | ||||
\(288\) | 2.72370 | − | 1.45347i | 0.160495 | − | 0.0856464i | ||||
\(289\) | −7.98678 | + | 6.70171i | −0.469811 | + | 0.394218i | ||||
\(290\) | 9.17802 | − | 0.580200i | 0.538952 | − | 0.0340705i | ||||
\(291\) | −5.32602 | + | 7.60635i | −0.312217 | + | 0.445892i | ||||
\(292\) | −1.09066 | − | 2.11907i | −0.0638262 | − | 0.124009i | ||||
\(293\) | −1.16555 | − | 4.34990i | −0.0680923 | − | 0.254124i | 0.923486 | − | 0.383632i | \(-0.125327\pi\) |
−0.991578 | + | 0.129508i | \(0.958660\pi\) | |||||||
\(294\) | −18.7166 | − | 7.32849i | −1.09158 | − | 0.427406i | ||||
\(295\) | −7.51764 | + | 20.6545i | −0.437694 | + | 1.20255i | ||||
\(296\) | −19.1895 | + | 28.2913i | −1.11537 | + | 1.64440i | ||||
\(297\) | 5.22376 | − | 3.01594i | 0.303113 | − | 0.175003i | ||||
\(298\) | 7.37516 | − | 1.11765i | 0.427232 | − | 0.0647440i | ||||
\(299\) | −5.21263 | + | 0.456046i | −0.301454 | + | 0.0263738i | ||||
\(300\) | 19.9740 | + | 2.72387i | 1.15320 | + | 0.157263i | ||||
\(301\) | −36.9927 | + | 25.9025i | −2.13222 | + | 1.49300i | ||||
\(302\) | −0.912325 | − | 0.452540i | −0.0524984 | − | 0.0260408i | ||||
\(303\) | 23.4806 | 1.34892 | ||||||||
\(304\) | −1.06986 | − | 17.4027i | −0.0613607 | − | 0.998116i | ||||
\(305\) | 22.7660 | 1.30358 | ||||||||
\(306\) | 1.77280 | + | 0.879361i | 0.101344 | + | 0.0502697i | ||||
\(307\) | −5.42099 | + | 3.79582i | −0.309392 | + | 0.216639i | −0.717952 | − | 0.696093i | \(-0.754920\pi\) |
0.408560 | + | 0.912732i | \(0.366031\pi\) | |||||||
\(308\) | −1.17646 | + | 8.62692i | −0.0670351 | + | 0.491564i | ||||
\(309\) | 1.31881 | − | 0.115381i | 0.0750247 | − | 0.00656381i | ||||
\(310\) | 18.7980 | − | 2.84871i | 1.06765 | − | 0.161796i | ||||
\(311\) | 18.4333 | − | 10.6425i | 1.04526 | − | 0.603481i | 0.123941 | − | 0.992290i | \(-0.460447\pi\) |
0.921318 | + | 0.388809i | \(0.127113\pi\) | |||||||
\(312\) | −1.57732 | − | 8.22831i | −0.0892982 | − | 0.465837i | ||||
\(313\) | 7.78654 | − | 21.3933i | 0.440121 | − | 1.20922i | −0.499291 | − | 0.866434i | \(-0.666406\pi\) |
0.939413 | − | 0.342789i | \(-0.111371\pi\) | |||||||
\(314\) | −17.6723 | − | 6.91958i | −0.997306 | − | 0.390495i | ||||
\(315\) | −1.91484 | − | 7.14628i | −0.107889 | − | 0.402647i | ||||
\(316\) | −25.5818 | + | 13.1667i | −1.43909 | + | 0.740683i | ||||
\(317\) | −17.0413 | + | 24.3375i | −0.957135 | + | 1.36693i | −0.0270308 | + | 0.999635i | \(0.508605\pi\) |
−0.930104 | + | 0.367296i | \(0.880284\pi\) | |||||||
\(318\) | 20.9406 | − | 1.32378i | 1.17429 | − | 0.0742342i | ||||
\(319\) | 1.59971 | − | 1.34232i | 0.0895666 | − | 0.0751553i | ||||
\(320\) | 24.1661 | − | 12.1560i | 1.35093 | − | 0.679543i | ||||
\(321\) | 10.7234 | − | 3.90299i | 0.598521 | − | 0.217844i | ||||
\(322\) | 11.3591 | − | 10.8236i | 0.633017 | − | 0.603177i | ||||
\(323\) | 8.67946 | − | 7.04080i | 0.482938 | − | 0.391761i | ||||
\(324\) | 0.681758 | − | 14.1133i | 0.0378754 | − | 0.784074i | ||||
\(325\) | −5.14124 | + | 11.0254i | −0.285185 | + | 0.611580i | ||||
\(326\) | 0.134171 | − | 0.666449i | 0.00743107 | − | 0.0369112i | ||||
\(327\) | 15.3879 | + | 18.3386i | 0.850954 | + | 1.01413i | ||||
\(328\) | −5.75658 | + | 0.0855712i | −0.317854 | + | 0.00472488i | ||||
\(329\) | −39.8851 | + | 7.03282i | −2.19894 | + | 0.387732i | ||||
\(330\) | 7.14121 | − | 3.89630i | 0.393111 | − | 0.214484i | ||||
\(331\) | −2.09422 | − | 7.81575i | −0.115109 | − | 0.429593i | 0.884186 | − | 0.467135i | \(-0.154714\pi\) |
−0.999295 | + | 0.0375423i | \(0.988047\pi\) | |||||||
\(332\) | 6.36090 | − | 2.60029i | 0.349100 | − | 0.142710i | ||||
\(333\) | −2.78766 | − | 5.97816i | −0.152763 | − | 0.327601i | ||||
\(334\) | 9.18282 | − | 2.22448i | 0.502462 | − | 0.121718i | ||||
\(335\) | 18.9133 | + | 32.7589i | 1.03335 | + | 1.78981i | ||||
\(336\) | 19.0943 | + | 16.3261i | 1.04168 | + | 0.890660i | ||||
\(337\) | −6.06329 | − | 5.08770i | −0.330288 | − | 0.277145i | 0.462529 | − | 0.886604i | \(-0.346942\pi\) |
−0.792817 | + | 0.609459i | \(0.791387\pi\) | |||||||
\(338\) | −13.2462 | − | 1.48177i | −0.720500 | − | 0.0805978i | ||||
\(339\) | −23.7562 | + | 16.6342i | −1.29026 | + | 0.903448i | ||||
\(340\) | 15.3433 | + | 8.07780i | 0.832105 | + | 0.438080i | ||||
\(341\) | 3.05281 | − | 3.05281i | 0.165319 | − | 0.165319i | ||||
\(342\) | 2.98862 | + | 1.54477i | 0.161606 | + | 0.0835317i | ||||
\(343\) | 8.30876i | 0.448631i | ||||||||
\(344\) | 30.6490 | − | 8.70264i | 1.65248 | − | 0.469215i | ||||
\(345\) | −14.4370 | − | 2.54564i | −0.777263 | − | 0.137053i | ||||
\(346\) | 8.10868 | − | 6.47706i | 0.435925 | − | 0.348209i | ||||
\(347\) | −14.6678 | + | 1.28326i | −0.787407 | + | 0.0688892i | −0.473764 | − | 0.880652i | \(-0.657105\pi\) |
−0.313643 | + | 0.949541i | \(0.601549\pi\) | |||||||
\(348\) | −0.758784 | − | 5.97751i | −0.0406751 | − | 0.320428i | ||||
\(349\) | −3.66984 | + | 13.6960i | −0.196442 | + | 0.733131i | 0.795447 | + | 0.606023i | \(0.207236\pi\) |
−0.991889 | + | 0.127108i | \(0.959431\pi\) | |||||||
\(350\) | −8.58820 | − | 35.4528i | −0.459059 | − | 1.89503i | ||||
\(351\) | 9.86953 | + | 3.59222i | 0.526797 | + | 0.191738i | ||||
\(352\) | 2.78051 | − | 5.47738i | 0.148202 | − | 0.291945i | ||||
\(353\) | 7.99790 | − | 13.8528i | 0.425685 | − | 0.737309i | −0.570799 | − | 0.821090i | \(-0.693366\pi\) |
0.996484 | + | 0.0837812i | \(0.0266997\pi\) | |||||||
\(354\) | 13.8167 | + | 4.06198i | 0.734351 | + | 0.215892i | ||||
\(355\) | −1.56119 | + | 2.22961i | −0.0828592 | + | 0.118335i | ||||
\(356\) | −17.3657 | − | 16.0614i | −0.920380 | − | 0.851255i | ||||
\(357\) | −1.40350 | + | 16.0420i | −0.0742809 | + | 0.849035i | ||||
\(358\) | −1.97580 | + | 9.81409i | −0.104424 | + | 0.518691i | ||||
\(359\) | 4.76011 | + | 13.0783i | 0.251229 | + | 0.690245i | 0.999635 | + | 0.0270052i | \(0.00859705\pi\) |
−0.748406 | + | 0.663240i | \(0.769181\pi\) | |||||||
\(360\) | −0.377585 | + | 5.20595i | −0.0199005 | + | 0.274378i | ||||
\(361\) | 14.9521 | − | 11.7232i | 0.786955 | − | 0.617010i | ||||
\(362\) | 0.380890 | − | 15.7791i | 0.0200191 | − | 0.829330i | ||||
\(363\) | −6.50214 | + | 13.9439i | −0.341274 | + | 0.731864i | ||||
\(364\) | −12.8239 | + | 8.08640i | −0.672155 | + | 0.423843i | ||||
\(365\) | 4.01408 | + | 0.351186i | 0.210106 | + | 0.0183819i | ||||
\(366\) | −0.941078 | − | 14.8866i | −0.0491909 | − | 0.778137i | ||||
\(367\) | −4.18980 | − | 23.7616i | −0.218706 | − | 1.24034i | −0.874359 | − | 0.485280i | \(-0.838718\pi\) |
0.655653 | − | 0.755063i | \(-0.272394\pi\) | |||||||
\(368\) | −10.0753 | + | 4.58498i | −0.525214 | + | 0.239009i | ||||
\(369\) | 0.555436 | − | 0.962044i | 0.0289149 | − | 0.0500820i | ||||
\(370\) | −23.1550 | − | 52.9564i | −1.20377 | − | 2.75307i | ||||
\(371\) | −16.0461 | − | 34.4111i | −0.833074 | − | 1.78653i | ||||
\(372\) | −2.63982 | − | 12.1742i | −0.136868 | − | 0.631204i | ||||
\(373\) | 26.5036 | + | 7.10161i | 1.37230 | + | 0.367708i | 0.868319 | − | 0.496006i | \(-0.165200\pi\) |
0.503984 | + | 0.863713i | \(0.331867\pi\) | |||||||
\(374\) | 3.89300 | − | 0.589957i | 0.201302 | − | 0.0305060i | ||||
\(375\) | −4.88261 | + | 5.81886i | −0.252137 | + | 0.300485i | ||||
\(376\) | 28.2100 | + | 4.54293i | 1.45482 | + | 0.234284i | ||||
\(377\) | 3.58094 | + | 0.631416i | 0.184428 | + | 0.0325196i | ||||
\(378\) | −29.8458 | + | 10.0542i | −1.53510 | + | 0.517132i | ||||
\(379\) | 8.85214 | − | 8.85214i | 0.454704 | − | 0.454704i | −0.442208 | − | 0.896912i | \(-0.645805\pi\) |
0.896912 | + | 0.442208i | \(0.145805\pi\) | |||||||
\(380\) | 25.8528 | + | 14.1637i | 1.32622 | + | 0.726582i | ||||
\(381\) | −2.02295 | − | 2.02295i | −0.103639 | − | 0.103639i | ||||
\(382\) | −0.628004 | + | 1.26606i | −0.0321315 | + | 0.0647773i | ||||
\(383\) | 0.830373 | − | 4.70928i | 0.0424301 | − | 0.240633i | −0.956215 | − | 0.292664i | \(-0.905458\pi\) |
0.998645 | + | 0.0520309i | \(0.0165694\pi\) | |||||||
\(384\) | −8.94777 | − | 15.2997i | −0.456614 | − | 0.780760i | ||||
\(385\) | −11.2766 | − | 9.46220i | −0.574709 | − | 0.482238i | ||||
\(386\) | −19.3408 | − | 14.2503i | −0.984422 | − | 0.725322i | ||||
\(387\) | −1.59112 | + | 5.93813i | −0.0808810 | + | 0.301852i | ||||
\(388\) | −9.96834 | − | 6.41568i | −0.506066 | − | 0.325707i | ||||
\(389\) | −34.8774 | + | 16.2636i | −1.76836 | + | 0.824598i | −0.791356 | + | 0.611355i | \(0.790625\pi\) |
−0.976999 | + | 0.213242i | \(0.931598\pi\) | |||||||
\(390\) | 13.1899 | + | 5.16450i | 0.667897 | + | 0.261515i | ||||
\(391\) | −6.14490 | − | 3.54776i | −0.310761 | − | 0.179418i | ||||
\(392\) | 8.41717 | − | 24.2411i | 0.425131 | − | 1.22436i | ||||
\(393\) | −17.0531 | + | 3.00692i | −0.860216 | + | 0.151679i | ||||
\(394\) | 5.83745 | − | 6.62529i | 0.294086 | − | 0.333778i | ||||
\(395\) | 4.23958 | − | 48.4587i | 0.213317 | − | 2.43822i | ||||
\(396\) | 0.632197 | + | 1.00257i | 0.0317691 | + | 0.0503813i | ||||
\(397\) | −33.2941 | − | 15.5253i | −1.67098 | − | 0.779192i | −0.999263 | − | 0.0383852i | \(-0.987779\pi\) |
−0.671719 | − | 0.740806i | \(-0.734444\pi\) | |||||||
\(398\) | −11.5549 | − | 12.1265i | −0.579195 | − | 0.607849i | ||||
\(399\) | −2.83830 | + | 27.2289i | −0.142093 | + | 1.36315i | ||||
\(400\) | −2.48059 | + | 25.6159i | −0.124029 | + | 1.28079i | ||||
\(401\) | −9.27472 | + | 3.37572i | −0.463157 | + | 0.168575i | −0.563050 | − | 0.826423i | \(-0.690372\pi\) |
0.0998929 | + | 0.994998i | \(0.468150\pi\) | |||||||
\(402\) | 20.6391 | − | 13.7216i | 1.02939 | − | 0.684369i | ||||
\(403\) | 7.48887 | + | 0.655192i | 0.373047 | + | 0.0326374i | ||||
\(404\) | 1.16872 | + | 29.9536i | 0.0581462 | + | 1.49025i | ||||
\(405\) | 19.5690 | + | 13.7023i | 0.972390 | + | 0.680874i | ||||
\(406\) | −9.57137 | + | 5.22221i | −0.475019 | + | 0.259174i | ||||
\(407\) | −11.3661 | − | 6.56221i | −0.563396 | − | 0.325277i | ||||
\(408\) | 4.64782 | − | 10.3668i | 0.230101 | − | 0.513235i | ||||
\(409\) | 5.73013 | − | 15.7434i | 0.283337 | − | 0.778461i | −0.713622 | − | 0.700531i | \(-0.752947\pi\) |
0.996959 | − | 0.0779302i | \(-0.0248311\pi\) | |||||||
\(410\) | 5.06888 | − | 8.30977i | 0.250334 | − | 0.410391i | ||||
\(411\) | −6.26288 | − | 1.67813i | −0.308925 | − | 0.0827762i | ||||
\(412\) | 0.212832 | + | 1.67664i | 0.0104855 | + | 0.0826020i | ||||
\(413\) | −2.27128 | − | 25.9608i | −0.111762 | − | 1.27745i | ||||
\(414\) | 0.237449 | − | 2.12266i | 0.0116700 | − | 0.104323i | ||||
\(415\) | −2.01750 | + | 11.4418i | −0.0990350 | + | 0.561655i | ||||
\(416\) | 10.4182 | − | 2.42171i | 0.510792 | − | 0.118734i | ||||
\(417\) | −25.2344 | −1.23573 | ||||||||
\(418\) | 6.63403 | − | 0.892982i | 0.324481 | − | 0.0436772i | ||||
\(419\) | 19.4501 | + | 19.4501i | 0.950201 | + | 0.950201i | 0.998818 | − | 0.0486165i | \(-0.0154812\pi\) |
−0.0486165 | + | 0.998818i | \(0.515481\pi\) | |||||||
\(420\) | −40.5674 | + | 12.5844i | −1.97949 | + | 0.614058i | ||||
\(421\) | 19.5399 | + | 27.9058i | 0.952315 | + | 1.36005i | 0.932861 | + | 0.360236i | \(0.117304\pi\) |
0.0194535 | + | 0.999811i | \(0.493807\pi\) | |||||||
\(422\) | 1.27355 | − | 1.01729i | 0.0619953 | − | 0.0495207i | ||||
\(423\) | −3.54390 | + | 4.22346i | −0.172310 | + | 0.205351i | ||||
\(424\) | 2.73102 | + | 26.6475i | 0.132630 | + | 1.29412i | ||||
\(425\) | −14.2864 | + | 8.24823i | −0.692990 | + | 0.400098i | ||||
\(426\) | 1.52247 | + | 0.928693i | 0.0737640 | + | 0.0449953i | ||||
\(427\) | −24.4628 | + | 11.4072i | −1.18384 | + | 0.552033i | ||||
\(428\) | 5.51270 | + | 13.4853i | 0.266466 | + | 0.651836i | ||||
\(429\) | 3.10693 | − | 0.832499i | 0.150004 | − | 0.0401934i | ||||
\(430\) | −15.1933 | + | 51.6798i | −0.732688 | + | 2.49222i | ||||
\(431\) | 2.13838 | + | 12.1274i | 0.103002 | + | 0.584155i | 0.991999 | + | 0.126242i | \(0.0402917\pi\) |
−0.888997 | + | 0.457913i | \(0.848597\pi\) | |||||||
\(432\) | 22.2182 | + | 0.205977i | 1.06897 | + | 0.00991007i | ||||
\(433\) | 6.21782 | − | 5.21737i | 0.298809 | − | 0.250731i | −0.481039 | − | 0.876699i | \(-0.659741\pi\) |
0.779849 | + | 0.625968i | \(0.215296\pi\) | |||||||
\(434\) | −18.7717 | + | 12.4800i | −0.901069 | + | 0.599059i | ||||
\(435\) | 9.23283 | + | 4.30534i | 0.442680 | + | 0.206425i | ||||
\(436\) | −22.6282 | + | 20.5428i | −1.08370 | + | 0.983822i | ||||
\(437\) | −10.3451 | − | 6.20392i | −0.494874 | − | 0.296774i | ||||
\(438\) | 0.0637102 | − | 2.63932i | 0.00304419 | − | 0.126111i | ||||
\(439\) | 4.21058 | + | 11.5685i | 0.200960 | + | 0.552133i | 0.998706 | − | 0.0508608i | \(-0.0161965\pi\) |
−0.797746 | + | 0.602994i | \(0.793974\pi\) | |||||||
\(440\) | 5.32586 | + | 8.91594i | 0.253901 | + | 0.425051i | ||||
\(441\) | 3.18267 | + | 3.79295i | 0.151556 | + | 0.180617i | ||||
\(442\) | 5.14415 | + | 4.53243i | 0.244682 | + | 0.215586i | ||||
\(443\) | 21.2879 | + | 14.9059i | 1.01142 | + | 0.708202i | 0.956932 | − | 0.290313i | \(-0.0937594\pi\) |
0.0544851 | + | 0.998515i | \(0.482648\pi\) | |||||||
\(444\) | −33.6709 | + | 17.3301i | −1.59795 | + | 0.822449i | ||||
\(445\) | 38.6301 | − | 10.3509i | 1.83124 | − | 0.490680i | ||||
\(446\) | 3.13284 | − | 1.36982i | 0.148344 | − | 0.0648630i | ||||
\(447\) | 7.76483 | + | 2.82617i | 0.367264 | + | 0.133673i | ||||
\(448\) | −19.8764 | + | 25.1708i | −0.939070 | + | 1.18921i | ||||
\(449\) | 18.0982 | + | 31.3470i | 0.854107 | + | 1.47936i | 0.877471 | + | 0.479630i | \(0.159229\pi\) |
−0.0233635 | + | 0.999727i | \(0.507438\pi\) | |||||||
\(450\) | −3.99781 | − | 2.94559i | −0.188459 | − | 0.138856i | ||||
\(451\) | −0.192641 | − | 2.20190i | −0.00907111 | − | 0.103683i | ||||
\(452\) | −22.4024 | − | 29.4772i | −1.05372 | − | 1.38649i | ||||
\(453\) | −0.647071 | − | 0.924113i | −0.0304020 | − | 0.0434186i | ||||
\(454\) | 29.8159 | − | 10.0441i | 1.39933 | − | 0.471395i | ||||
\(455\) | − | 25.6320i | − | 1.20165i | ||||||
\(456\) | 8.19294 | − | 17.4906i | 0.383669 | − | 0.819073i | ||||
\(457\) | 10.7782i | 0.504183i | 0.967703 | + | 0.252091i | \(0.0811184\pi\) | ||||
−0.967703 | + | 0.252091i | \(0.918882\pi\) | |||||||
\(458\) | 5.98263 | + | 17.7594i | 0.279550 | + | 0.829841i | ||||
\(459\) | 8.16909 | + | 11.6667i | 0.381300 | + | 0.544553i | ||||
\(460\) | 2.52882 | − | 18.5437i | 0.117907 | − | 0.864604i | ||||
\(461\) | −1.89926 | − | 21.7087i | −0.0884574 | − | 1.01107i | −0.902621 | − | 0.430437i | \(-0.858359\pi\) |
0.814163 | − | 0.580636i | \(-0.197196\pi\) | |||||||
\(462\) | −5.72118 | + | 7.76490i | −0.266173 | + | 0.361256i | ||||
\(463\) | −19.7929 | − | 34.2823i | −0.919854 | − | 1.59323i | −0.799635 | − | 0.600487i | \(-0.794973\pi\) |
−0.120220 | − | 0.992747i | \(-0.538360\pi\) | |||||||
\(464\) | 7.58760 | − | 1.26549i | 0.352245 | − | 0.0587488i | ||||
\(465\) | 19.7912 | + | 7.20340i | 0.917794 | + | 0.334050i | ||||
\(466\) | 5.31376 | + | 12.1528i | 0.246155 | + | 0.562966i | ||||
\(467\) | −19.1174 | + | 5.12250i | −0.884650 | + | 0.237041i | −0.672412 | − | 0.740177i | \(-0.734742\pi\) |
−0.212238 | + | 0.977218i | \(0.568075\pi\) | |||||||
\(468\) | −0.629716 | + | 1.96539i | −0.0291087 | + | 0.0908503i | ||||
\(469\) | −36.7373 | − | 25.7237i | −1.69637 | − | 1.18781i | ||||
\(470\) | −31.9366 | + | 36.2469i | −1.47312 | + | 1.67194i | ||||
\(471\) | −13.5138 | − | 16.1051i | −0.622684 | − | 0.742086i | ||||
\(472\) | −4.49405 | + | 17.8279i | −0.206856 | + | 0.820594i | ||||
\(473\) | 4.18356 | + | 11.4942i | 0.192360 | + | 0.528506i | ||||
\(474\) | −31.8623 | − | 0.769120i | −1.46348 | − | 0.0353269i | ||||
\(475\) | −24.5169 | + | 13.6174i | −1.12491 | + | 0.624810i | ||||
\(476\) | −20.5343 | − | 0.991930i | −0.941189 | − | 0.0454650i | ||||
\(477\) | −4.68439 | − | 2.18437i | −0.214483 | − | 0.100015i | ||||
\(478\) | −6.93057 | − | 10.4245i | −0.316997 | − | 0.476808i | ||||
\(479\) | −11.5277 | + | 9.67293i | −0.526716 | + | 0.441967i | −0.866966 | − | 0.498368i | \(-0.833933\pi\) |
0.340249 | + | 0.940335i | \(0.389488\pi\) | |||||||
\(480\) | 29.9495 | + | 1.00082i | 1.36700 | + | 0.0456811i | ||||
\(481\) | −3.96834 | − | 22.5056i | −0.180941 | − | 1.02616i | ||||
\(482\) | −18.4133 | − | 5.41331i | −0.838702 | − | 0.246570i | ||||
\(483\) | 16.7886 | − | 4.49849i | 0.763907 | − | 0.204688i | ||||
\(484\) | −18.1115 | − | 7.60058i | −0.823251 | − | 0.345481i | ||||
\(485\) | 18.1646 | − | 8.47030i | 0.824813 | − | 0.384616i | ||||
\(486\) | −4.12157 | + | 6.75677i | −0.186958 | + | 0.306493i | ||||
\(487\) | 24.6308 | − | 14.2206i | 1.11613 | − | 0.644398i | 0.175719 | − | 0.984440i | \(-0.443775\pi\) |
0.940410 | + | 0.340043i | \(0.110442\pi\) | |||||||
\(488\) | 18.9437 | − | 1.94148i | 0.857541 | − | 0.0878867i | ||||
\(489\) | 0.484068 | − | 0.576890i | 0.0218903 | − | 0.0260878i | ||||
\(490\) | 27.0772 | + | 33.8981i | 1.22322 | + | 1.53136i | ||||
\(491\) | 11.6432 | + | 16.6283i | 0.525452 | + | 0.750424i | 0.990892 | − | 0.134656i | \(-0.0429929\pi\) |
−0.465440 | + | 0.885079i | \(0.654104\pi\) | |||||||
\(492\) | −5.64328 | − | 2.97103i | −0.254419 | − | 0.133945i | ||||
\(493\) | 3.48660 | + | 3.48660i | 0.157029 | + | 0.157029i | ||||
\(494\) | 8.61623 | + | 7.84944i | 0.387663 | + | 0.353163i | ||||
\(495\) | −2.00392 | −0.0900693 | ||||||||
\(496\) | 15.3990 | − | 3.97351i | 0.691434 | − | 0.178416i | ||||
\(497\) | 0.560374 | − | 3.17804i | 0.0251362 | − | 0.142555i | ||||
\(498\) | 7.56516 | + | 0.846268i | 0.339003 | + | 0.0379222i | ||||
\(499\) | −1.05136 | − | 12.0171i | −0.0470654 | − | 0.537960i | −0.982727 | − | 0.185062i | \(-0.940752\pi\) |
0.935661 | − | 0.352899i | \(-0.114804\pi\) | |||||||
\(500\) | −7.66602 | − | 5.93900i | −0.342835 | − | 0.265600i | ||||
\(501\) | 10.1099 | + | 2.70894i | 0.451677 | + | 0.121026i | ||||
\(502\) | −23.3345 | − | 14.2338i | −1.04147 | − | 0.635286i | ||||
\(503\) | −2.83286 | + | 7.78323i | −0.126311 | + | 0.347037i | −0.986689 | − | 0.162620i | \(-0.948006\pi\) |
0.860378 | + | 0.509657i | \(0.170228\pi\) | |||||||
\(504\) | −2.20278 | − | 5.78316i | −0.0981197 | − | 0.257602i | ||||
\(505\) | −43.8912 | − | 25.3406i | −1.95313 | − | 1.12764i | ||||
\(506\) | −2.03547 | − | 3.73065i | −0.0904877 | − | 0.165848i | ||||
\(507\) | −12.0949 | − | 8.46892i | −0.537152 | − | 0.376118i | ||||
\(508\) | 2.47994 | − | 2.68132i | 0.110030 | − | 0.118964i | ||||
\(509\) | −12.1799 | − | 1.06560i | −0.539865 | − | 0.0472321i | −0.186037 | − | 0.982543i | \(-0.559564\pi\) |
−0.353828 | + | 0.935311i | \(0.615120\pi\) | |||||||
\(510\) | 10.6345 | + | 15.9957i | 0.470902 | + | 0.708302i | ||||
\(511\) | −4.48922 | + | 1.63394i | −0.198592 | + | 0.0722814i | ||||
\(512\) | 19.0721 | − | 12.1760i | 0.842876 | − | 0.538108i | ||||
\(513\) | 13.5568 | + | 20.0617i | 0.598547 | + | 0.885745i | ||||
\(514\) | 13.7207 | − | 13.0739i | 0.605194 | − | 0.576665i | ||||
\(515\) | −2.58973 | − | 1.20761i | −0.114117 | − | 0.0532136i | ||||
\(516\) | 34.4214 | + | 7.79861i | 1.51532 | + | 0.343315i | ||||
\(517\) | −0.956090 | + | 10.9282i | −0.0420488 | + | 0.480620i | ||||
\(518\) | 51.4153 | + | 45.3012i | 2.25906 | + | 1.99042i | ||||
\(519\) | 11.3216 | − | 1.99631i | 0.496965 | − | 0.0876283i | ||||
\(520\) | −5.93171 | + | 17.0831i | −0.260123 | + | 0.749144i | ||||
\(521\) | 23.5913 | + | 13.6204i | 1.03355 | + | 0.596722i | 0.918000 | − | 0.396579i | \(-0.129803\pi\) |
0.115552 | + | 0.993301i | \(0.463136\pi\) | |||||||
\(522\) | −0.541162 | + | 1.38210i | −0.0236860 | + | 0.0604930i | ||||
\(523\) | −28.0805 | + | 13.0941i | −1.22787 | + | 0.572566i | −0.924819 | − | 0.380407i | \(-0.875784\pi\) |
−0.303053 | + | 0.952974i | \(0.598006\pi\) | |||||||
\(524\) | −4.68467 | − | 21.6046i | −0.204651 | − | 0.943801i | ||||
\(525\) | 10.4586 | − | 39.0320i | 0.456450 | − | 1.70350i | ||||
\(526\) | 22.7236 | − | 30.8410i | 0.990797 | − | 1.34473i | ||||
\(527\) | 7.80904 | + | 6.55257i | 0.340167 | + | 0.285434i | ||||
\(528\) | 5.60996 | − | 3.85113i | 0.244142 | − | 0.167599i | ||||
\(529\) | 2.66404 | − | 15.1085i | 0.115828 | − | 0.656892i | ||||
\(530\) | −40.5720 | − | 20.1249i | −1.76233 | − | 0.874171i | ||||
\(531\) | −2.50850 | − | 2.50850i | −0.108860 | − | 0.108860i | ||||
\(532\) | −34.8766 | − | 2.26546i | −1.51209 | − | 0.0982201i | ||||
\(533\) | 2.72142 | − | 2.72142i | 0.117878 | − | 0.117878i | ||||
\(534\) | −8.36530 | − | 24.8323i | −0.362002 | − | 1.07460i | ||||
\(535\) | −24.2569 | − | 4.27715i | −1.04872 | − | 0.184917i | ||||
\(536\) | 18.5316 | + | 25.6459i | 0.800442 | + | 1.10773i | ||||
\(537\) | −7.12835 | + | 8.49524i | −0.307611 | + | 0.366597i | ||||
\(538\) | 4.39580 | + | 29.0069i | 0.189516 | + | 1.25058i | ||||
\(539\) | 9.51603 | + | 2.54981i | 0.409884 | + | 0.109828i | ||||
\(540\) | −20.3309 | + | 31.5890i | −0.874901 | + | 1.35937i | ||||
\(541\) | 8.29856 | + | 17.7963i | 0.356783 | + | 0.765124i | 1.00000 | 0.000560461i | \(-0.000178400\pi\) | |
−0.643217 | + | 0.765684i | \(0.722401\pi\) | |||||||
\(542\) | 1.57299 | − | 0.687785i | 0.0675657 | − | 0.0295429i | ||||
\(543\) | 8.74223 | − | 15.1420i | 0.375165 | − | 0.649805i | ||||
\(544\) | 13.4561 | + | 5.41311i | 0.576925 | + | 0.232085i | ||||
\(545\) | −8.97266 | − | 50.8865i | −0.384347 | − | 2.17974i | ||||
\(546\) | −16.7607 | + | 1.05955i | −0.717293 | + | 0.0453446i | ||||
\(547\) | 23.2662 | + | 2.03553i | 0.994791 | + | 0.0870329i | 0.572910 | − | 0.819618i | \(-0.305814\pi\) |
0.421881 | + | 0.906651i | \(0.361370\pi\) | |||||||
\(548\) | 1.82903 | − | 8.07294i | 0.0781321 | − | 0.344859i | ||||
\(549\) | −1.55286 | + | 3.33013i | −0.0662746 | + | 0.142126i | ||||
\(550\) | −9.87756 | − | 0.238433i | −0.421181 | − | 0.0101668i | ||||
\(551\) | 5.82821 | + | 6.02495i | 0.248290 | + | 0.256672i | ||||
\(552\) | −12.2302 | − | 0.887051i | −0.520553 | − | 0.0377554i | ||||
\(553\) | 19.7253 | + | 54.1947i | 0.838803 | + | 2.30459i | ||||
\(554\) | −41.3907 | − | 8.33289i | −1.75852 | − | 0.354030i | ||||
\(555\) | 5.58018 | − | 63.7817i | 0.236865 | − | 2.70738i | ||||
\(556\) | −1.25602 | − | 32.1910i | −0.0532672 | − | 1.36520i | ||||
\(557\) | −4.06475 | + | 5.80506i | −0.172229 | + | 0.245968i | −0.895982 | − | 0.444091i | \(-0.853527\pi\) |
0.723753 | + | 0.690059i | \(0.242416\pi\) | |||||||
\(558\) | −0.865510 | + | 2.94401i | −0.0366399 | + | 0.124630i | ||||
\(559\) | −10.6493 | + | 18.4452i | −0.450419 | + | 0.780148i | ||||
\(560\) | −18.0729 | − | 51.1246i | −0.763718 | − | 2.16041i | ||||
\(561\) | 4.09869 | + | 1.49180i | 0.173047 | + | 0.0629838i | ||||
\(562\) | 23.9654 | − | 5.80547i | 1.01092 | − | 0.244889i | ||||
\(563\) | −3.35584 | + | 12.5242i | −0.141432 | + | 0.527831i | 0.858456 | + | 0.512886i | \(0.171424\pi\) |
−0.999888 | + | 0.0149445i | \(0.995243\pi\) | |||||||
\(564\) | 25.0219 | + | 19.3849i | 1.05361 | + | 0.816253i | ||||
\(565\) | 62.3584 | − | 5.45565i | 2.62344 | − | 0.229521i | ||||
\(566\) | 15.0913 | + | 18.8929i | 0.634334 | + | 0.794127i | ||||
\(567\) | −27.8932 | − | 4.91833i | −1.17141 | − | 0.206550i | ||||
\(568\) | −1.10893 | + | 1.98841i | −0.0465298 | + | 0.0834317i | ||||
\(569\) | 2.56608i | 0.107576i | 0.998552 | + | 0.0537878i | \(0.0171295\pi\) | ||||
−0.998552 | + | 0.0537878i | \(0.982871\pi\) | |||||||
\(570\) | 17.6253 | + | 27.4898i | 0.738244 | + | 1.15142i | ||||
\(571\) | −4.67721 | + | 4.67721i | −0.195735 | + | 0.195735i | −0.798169 | − | 0.602434i | \(-0.794198\pi\) |
0.602434 | + | 0.798169i | \(0.294198\pi\) | |||||||
\(572\) | 1.21664 | + | 3.92200i | 0.0508704 | + | 0.163987i | ||||
\(573\) | −1.28242 | + | 0.897960i | −0.0535739 | + | 0.0375128i | ||||
\(574\) | −1.28296 | + | 11.4690i | −0.0535498 | + | 0.478705i | ||||
\(575\) | 13.6395 | + | 11.4449i | 0.568808 | + | 0.477287i | ||||
\(576\) | 0.129773 | + | 4.36410i | 0.00540720 | + | 0.181837i | ||||
\(577\) | −8.74428 | − | 15.1455i | −0.364029 | − | 0.630517i | 0.624591 | − | 0.780952i | \(-0.285266\pi\) |
−0.988620 | + | 0.150435i | \(0.951932\pi\) | |||||||
\(578\) | −3.47138 | − | 14.3301i | −0.144390 | − | 0.596055i | ||||
\(579\) | −11.2469 | − | 24.1191i | −0.467405 | − | 1.00235i | ||||
\(580\) | −5.03266 | + | 11.9924i | −0.208970 | + | 0.497957i | ||||
\(581\) | −3.56519 | − | 13.3055i | −0.147909 | − | 0.552004i | ||||
\(582\) | −6.28959 | − | 11.5277i | −0.260712 | − | 0.477838i | ||||
\(583\) | −10.1278 | + | 1.78581i | −0.419453 | + | 0.0739608i | ||||
\(584\) | 3.37008 | − | 0.0500961i | 0.139455 | − | 0.00207299i | ||||
\(585\) | −2.24287 | − | 2.67295i | −0.0927315 | − | 0.110513i | ||||
\(586\) | 6.24343 | + | 1.25694i | 0.257914 | + | 0.0519239i | ||||
\(587\) | 15.4788 | − | 33.1943i | 0.638877 | − | 1.37008i | −0.273956 | − | 0.961742i | \(-0.588332\pi\) |
0.912833 | − | 0.408334i | \(-0.133890\pi\) | |||||||
\(588\) | 21.0466 | − | 19.1070i | 0.867949 | − | 0.787959i | ||||
\(589\) | 13.0891 | + | 11.3585i | 0.539326 | + | 0.468018i | ||||
\(590\) | −21.4433 | − | 22.5041i | −0.882806 | − | 0.926480i | ||||
\(591\) | 9.19167 | − | 3.34550i | 0.378095 | − | 0.137615i | ||||
\(592\) | −23.7835 | − | 42.0906i | −0.977497 | − | 1.72991i | ||||
\(593\) | 30.9224 | − | 25.9470i | 1.26983 | − | 1.06552i | 0.275271 | − | 0.961367i | \(-0.411233\pi\) |
0.994562 | − | 0.104149i | \(-0.0332119\pi\) | |||||||
\(594\) | 0.538184 | + | 8.51337i | 0.0220819 | + | 0.349308i | ||||
\(595\) | 19.9363 | − | 28.4720i | 0.817310 | − | 1.16724i | ||||
\(596\) | −3.21879 | + | 10.0461i | −0.131847 | + | 0.411504i | ||||
\(597\) | −4.80242 | − | 17.9229i | −0.196550 | − | 0.733534i | ||||
\(598\) | 2.69799 | − | 6.89056i | 0.110329 | − | 0.281776i | ||||
\(599\) | −10.6176 | + | 29.1716i | −0.433822 | + | 1.19192i | 0.509625 | + | 0.860396i | \(0.329784\pi\) |
−0.943448 | + | 0.331521i | \(0.892438\pi\) | |||||||
\(600\) | −16.0031 | + | 23.5936i | −0.653325 | + | 0.963204i | ||||
\(601\) | 8.00033 | − | 4.61899i | 0.326340 | − | 0.188413i | −0.327875 | − | 0.944721i | \(-0.606332\pi\) |
0.654215 | + | 0.756309i | \(0.272999\pi\) | |||||||
\(602\) | −9.56911 | − | 63.1445i | −0.390008 | − | 2.57358i | ||||
\(603\) | −6.08193 | + | 0.532100i | −0.247675 | + | 0.0216688i | ||||
\(604\) | 1.14666 | − | 0.871450i | 0.0466570 | − | 0.0354588i | ||||
\(605\) | 27.2026 | − | 19.0475i | 1.10594 | − | 0.774391i | ||||
\(606\) | −14.7559 | + | 29.7479i | −0.599415 | + | 1.20843i | ||||
\(607\) | 13.6121 | 0.552497 | 0.276248 | − | 0.961086i | \(-0.410909\pi\) | ||||
0.276248 | + | 0.961086i | \(0.410909\pi\) | |||||||
\(608\) | 22.7202 | + | 9.58096i | 0.921424 | + | 0.388559i | ||||
\(609\) | −12.0782 | −0.489434 | ||||||||
\(610\) | −14.3068 | + | 28.8426i | −0.579265 | + | 1.16780i | ||||
\(611\) | −15.6468 | + | 10.9560i | −0.633001 | + | 0.443232i | ||||
\(612\) | −2.22815 | + | 1.69337i | −0.0900678 | + | 0.0684505i | ||||
\(613\) | 29.3802 | − | 2.57043i | 1.18665 | − | 0.103819i | 0.523316 | − | 0.852139i | \(-0.324695\pi\) |
0.663338 | + | 0.748320i | \(0.269139\pi\) | |||||||
\(614\) | −1.40228 | − | 9.25334i | −0.0565914 | − | 0.373434i | ||||
\(615\) | 9.33802 | − | 5.39131i | 0.376545 | − | 0.217399i | ||||
\(616\) | −10.1903 | − | 6.91188i | −0.410577 | − | 0.278488i | ||||
\(617\) | −8.18542 | + | 22.4892i | −0.329532 | + | 0.905383i | 0.658698 | + | 0.752408i | \(0.271108\pi\) |
−0.988230 | + | 0.152975i | \(0.951115\pi\) | |||||||
\(618\) | −0.682602 | + | 1.74334i | −0.0274583 | + | 0.0701273i | ||||
\(619\) | 1.56057 | + | 5.82412i | 0.0627245 | + | 0.234091i | 0.990170 | − | 0.139866i | \(-0.0446673\pi\) |
−0.927446 | + | 0.373957i | \(0.878001\pi\) | |||||||
\(620\) | −8.20412 | + | 25.6057i | −0.329485 | + | 1.02835i | ||||
\(621\) | 8.81715 | − | 12.5922i | 0.353820 | − | 0.505308i | ||||
\(622\) | 1.89911 | + | 30.0416i | 0.0761476 | + | 1.20456i | ||||
\(623\) | −36.3229 | + | 30.4785i | −1.45525 | + | 1.22110i | ||||
\(624\) | 11.4158 | + | 3.17257i | 0.456999 | + | 0.127005i | ||||
\(625\) | −14.8229 | + | 5.39510i | −0.592916 | + | 0.215804i | ||||
\(626\) | 22.2103 | + | 23.3091i | 0.887702 | + | 0.931618i | ||||
\(627\) | 6.92493 | + | 2.65143i | 0.276555 | + | 0.105888i | ||||
\(628\) | 19.8723 | − | 18.0409i | 0.792992 | − | 0.719910i | ||||
\(629\) | 13.0966 | − | 28.0857i | 0.522195 | − | 1.11985i | ||||
\(630\) | 10.2571 | + | 2.06498i | 0.408652 | + | 0.0822709i | ||||
\(631\) | −27.6140 | − | 32.9091i | −1.09930 | − | 1.31009i | −0.946813 | − | 0.321783i | \(-0.895718\pi\) |
−0.152482 | − | 0.988306i | \(-0.548727\pi\) | |||||||
\(632\) | −0.604769 | − | 40.6843i | −0.0240564 | − | 1.61833i | ||||
\(633\) | 1.77817 | − | 0.313540i | 0.0706761 | − | 0.0124621i | ||||
\(634\) | −20.1243 | − | 36.8843i | −0.799240 | − | 1.46486i | ||||
\(635\) | 1.59822 | + | 5.96462i | 0.0634232 | + | 0.236699i | ||||
\(636\) | −11.4825 | + | 27.3619i | −0.455312 | + | 1.08497i | ||||
\(637\) | 7.24967 | + | 15.5470i | 0.287242 | + | 0.615993i | ||||
\(638\) | 0.695299 | + | 2.87025i | 0.0275272 | + | 0.113634i | ||||
\(639\) | −0.219651 | − | 0.380446i | −0.00868925 | − | 0.0150502i | ||||
\(640\) | 0.213984 | + | 38.2557i | 0.00845845 | + | 1.51219i | ||||
\(641\) | −5.73289 | − | 4.81046i | −0.226435 | − | 0.190002i | 0.522511 | − | 0.852633i | \(-0.324995\pi\) |
−0.748946 | + | 0.662631i | \(0.769440\pi\) | |||||||
\(642\) | −1.79411 | + | 16.0384i | −0.0708080 | + | 0.632984i | ||||
\(643\) | −24.9576 | + | 17.4755i | −0.984230 | + | 0.689166i | −0.950648 | − | 0.310270i | \(-0.899580\pi\) |
−0.0335821 | + | 0.999436i | \(0.510692\pi\) | |||||||
\(644\) | 6.57425 | + | 21.1929i | 0.259062 | + | 0.835117i | ||||
\(645\) | −42.1940 | + | 42.1940i | −1.66139 | + | 1.66139i | ||||
\(646\) | 3.46569 | + | 15.4208i | 0.136356 | + | 0.606723i | ||||
\(647\) | 12.6051i | 0.495559i | 0.968816 | + | 0.247780i | \(0.0797009\pi\) | ||||
−0.968816 | + | 0.247780i | \(0.920299\pi\) | |||||||
\(648\) | 17.4520 | + | 9.73295i | 0.685578 | + | 0.382346i | ||||
\(649\) | −6.95134 | − | 1.22571i | −0.272864 | − | 0.0481133i | ||||
\(650\) | −10.7374 | − | 13.4422i | −0.421155 | − | 0.527247i | ||||
\(651\) | −24.8756 | + | 2.17634i | −0.974953 | + | 0.0852973i | ||||
\(652\) | 0.760019 | + | 0.588800i | 0.0297646 | + | 0.0230592i | ||||
\(653\) | 11.4672 | − | 42.7963i | 0.448748 | − | 1.67475i | −0.257098 | − | 0.966385i | \(-0.582766\pi\) |
0.705846 | − | 0.708365i | \(-0.250567\pi\) | |||||||
\(654\) | −32.9037 | + | 7.97071i | −1.28664 | + | 0.311679i | ||||
\(655\) | 35.1218 | + | 12.7833i | 1.37232 | + | 0.499484i | ||||
\(656\) | 3.50919 | − | 7.34688i | 0.137011 | − | 0.286848i | ||||
\(657\) | −0.325170 | + | 0.563211i | −0.0126861 | + | 0.0219729i | ||||
\(658\) | 16.1549 | − | 54.9507i | 0.629785 | − | 2.14220i | ||||
\(659\) | −17.5717 | + | 25.0950i | −0.684497 | + | 0.977563i | 0.315096 | + | 0.949060i | \(0.397963\pi\) |
−0.999594 | + | 0.0285038i | \(0.990926\pi\) | |||||||
\(660\) | 0.448544 | + | 11.4959i | 0.0174595 | + | 0.447476i | ||||
\(661\) | 1.65852 | − | 18.9569i | 0.0645088 | − | 0.737339i | −0.893211 | − | 0.449637i | \(-0.851553\pi\) |
0.957720 | − | 0.287702i | \(-0.0928912\pi\) | |||||||
\(662\) | 11.2180 | + | 2.25843i | 0.435999 | + | 0.0877765i | ||||
\(663\) | 2.59758 | + | 7.13679i | 0.100882 | + | 0.277170i | ||||
\(664\) | −0.703015 | + | 9.69283i | −0.0272823 | + | 0.376155i | ||||
\(665\) | 34.6915 | − | 47.8348i | 1.34528 | − | 1.85495i | ||||
\(666\) | 9.32567 | + | 0.225111i | 0.361362 | + | 0.00872289i | ||||
\(667\) | 2.24916 | − | 4.82334i | 0.0870878 | − | 0.186760i | ||||
\(668\) | −2.95252 | + | 13.0318i | −0.114236 | + | 0.504215i | ||||
\(669\) | 3.77325 | + | 0.330117i | 0.145882 | + | 0.0127631i | ||||
\(670\) | −53.3884 | + | 3.37502i | −2.06257 | + | 0.130388i | ||||
\(671\) | 1.26953 | + | 7.19988i | 0.0490098 | + | 0.277948i | ||||
\(672\) | −32.6832 | + | 13.9312i | −1.26078 | + | 0.537406i | ||||
\(673\) | 9.38702 | − | 16.2588i | 0.361843 | − | 0.626731i | −0.626421 | − | 0.779485i | \(-0.715481\pi\) |
0.988264 | + | 0.152754i | \(0.0488142\pi\) | |||||||
\(674\) | 10.2560 | − | 4.48442i | 0.395048 | − | 0.172734i | ||||
\(675\) | −15.1040 | − | 32.3906i | −0.581353 | − | 1.24672i | ||||
\(676\) | 10.2016 | − | 15.8507i | 0.392369 | − | 0.609641i | ||||
\(677\) | 17.1635 | + | 4.59894i | 0.659646 | + | 0.176752i | 0.573086 | − | 0.819495i | \(-0.305746\pi\) |
0.0865596 | + | 0.996247i | \(0.472413\pi\) | |||||||
\(678\) | −6.14515 | − | 40.5505i | −0.236003 | − | 1.55733i | ||||
\(679\) | −15.2743 | + | 18.2032i | −0.586175 | + | 0.698576i | ||||
\(680\) | −19.8760 | + | 14.3623i | −0.762211 | + | 0.550769i | ||||
\(681\) | 34.3230 | + | 6.05208i | 1.31526 | + | 0.231916i | ||||
\(682\) | 1.94918 | + | 5.78612i | 0.0746380 | + | 0.221562i | ||||
\(683\) | −4.64044 | + | 4.64044i | −0.177562 | + | 0.177562i | −0.790292 | − | 0.612730i | \(-0.790071\pi\) |
0.612730 | + | 0.790292i | \(0.290071\pi\) | |||||||
\(684\) | −3.83523 | + | 2.81556i | −0.146644 | + | 0.107656i | ||||
\(685\) | 9.89587 | + | 9.89587i | 0.378102 | + | 0.378102i | ||||
\(686\) | −10.5265 | − | 5.22146i | −0.401904 | − | 0.199356i | ||||
\(687\) | −3.60482 | + | 20.4439i | −0.137532 | + | 0.779985i | ||||
\(688\) | −8.23520 | + | 44.2988i | −0.313964 | + | 1.68887i | ||||
\(689\) | −13.7176 | − | 11.5104i | −0.522598 | − | 0.438512i | ||||
\(690\) | 12.2977 | − | 16.6908i | 0.468167 | − | 0.635406i | ||||
\(691\) | 9.01854 | − | 33.6577i | 0.343082 | − | 1.28040i | −0.551756 | − | 0.834006i | \(-0.686042\pi\) |
0.894837 | − | 0.446392i | \(-0.147291\pi\) | |||||||
\(692\) | 3.11017 | + | 14.3434i | 0.118231 | + | 0.545254i | ||||
\(693\) | 2.15327 | − | 1.00409i | 0.0817961 | − | 0.0381421i | ||||
\(694\) | 7.59185 | − | 19.3893i | 0.288183 | − | 0.736007i | ||||
\(695\) | 47.1696 | + | 27.2334i | 1.78925 | + | 1.03302i | ||||
\(696\) | 8.04985 | + | 2.79512i | 0.305129 | + | 0.105949i | ||||
\(697\) | 5.13965 | − | 0.906259i | 0.194678 | − | 0.0343270i | ||||
\(698\) | −15.0455 | − | 13.2563i | −0.569480 | − | 0.501760i | ||||
\(699\) | −1.28058 | + | 14.6370i | −0.0484358 | + | 0.553624i | ||||
\(700\) | 50.3128 | + | 11.3990i | 1.90164 | + | 0.430842i | ||||
\(701\) | 3.09456 | + | 1.44302i | 0.116880 | + | 0.0545019i | 0.480179 | − | 0.877171i | \(-0.340572\pi\) |
−0.363299 | + | 0.931673i | \(0.618350\pi\) | |||||||
\(702\) | −10.7533 | + | 10.2464i | −0.405858 | + | 0.386726i | ||||
\(703\) | 23.0542 | − | 47.3711i | 0.869506 | − | 1.78663i | ||||
\(704\) | 5.19203 | + | 6.96481i | 0.195682 | + | 0.262496i | ||||
\(705\) | −50.2875 | + | 18.3032i | −1.89394 | + | 0.689337i | ||||
\(706\) | 12.5242 | + | 18.8382i | 0.471354 | + | 0.708983i | ||||
\(707\) | 59.8598 | + | 5.23705i | 2.25126 | + | 0.196960i | ||||
\(708\) | −13.8290 | + | 14.9520i | −0.519726 | + | 0.561930i | ||||
\(709\) | 14.5198 | + | 10.1669i | 0.545302 | + | 0.381824i | 0.813523 | − | 0.581533i | \(-0.197547\pi\) |
−0.268221 | + | 0.963357i | \(0.586436\pi\) | |||||||
\(710\) | −1.84363 | − | 3.37904i | −0.0691902 | − | 0.126813i | ||||
\(711\) | 6.79918 | + | 3.92551i | 0.254989 | + | 0.147218i | ||||
\(712\) | 31.2616 | − | 11.9074i | 1.17158 | − | 0.446249i | ||||
\(713\) | 3.76314 | − | 10.3391i | 0.140931 | − | 0.387204i | ||||
\(714\) | −19.4419 | − | 11.8594i | −0.727596 | − | 0.443827i | ||||
\(715\) | −6.70610 | − | 1.79689i | −0.250794 | − | 0.0672000i | ||||
\(716\) | −11.1920 | − | 8.67063i | −0.418264 | − | 0.324037i | ||||
\(717\) | −1.20859 | − | 13.8143i | −0.0451357 | − | 0.515904i | ||||
\(718\) | −19.5605 | − | 2.18811i | −0.729991 | − | 0.0816595i | ||||
\(719\) | 4.95734 | − | 28.1145i | 0.184878 | − | 1.04849i | −0.741235 | − | 0.671246i | \(-0.765759\pi\) |
0.926112 | − | 0.377248i | \(-0.123129\pi\) | |||||||
\(720\) | −6.35822 | − | 3.74994i | −0.236957 | − | 0.139752i | ||||
\(721\) | 3.38783 | 0.126169 | ||||||||
\(722\) | 5.45596 | + | 26.3103i | 0.203050 | + | 0.979168i | ||||
\(723\) | −15.0335 | − | 15.0335i | −0.559103 | − | 0.559103i | ||||
\(724\) | 19.7514 | + | 10.3986i | 0.734056 | + | 0.386460i | ||||
\(725\) | −7.09692 | − | 10.1354i | −0.263573 | − | 0.376421i | ||||
\(726\) | −13.5796 | − | 17.0004i | −0.503986 | − | 0.630944i | ||||
\(727\) | −2.50733 | + | 2.98813i | −0.0929919 | + | 0.110823i | −0.810534 | − | 0.585692i | \(-0.800823\pi\) |
0.717542 | + | 0.696515i | \(0.245267\pi\) | |||||||
\(728\) | −2.18589 | − | 21.3285i | −0.0810146 | − | 0.790488i | ||||
\(729\) | −25.9480 | + | 14.9811i | −0.961036 | + | 0.554855i | ||||
\(730\) | −2.96748 | + | 4.86481i | −0.109832 | + | 0.180055i | ||||
\(731\) | −26.1758 | + | 12.2060i | −0.968146 | + | 0.451454i | ||||
\(732\) | 19.4515 | + | 8.16292i | 0.718949 | + | 0.301710i | ||||
\(733\) | −16.1324 | + | 4.32267i | −0.595865 | + | 0.159661i | −0.544132 | − | 0.839000i | \(-0.683141\pi\) |
−0.0517325 | + | 0.998661i | \(0.516474\pi\) | |||||||
\(734\) | 32.7369 | + | 9.62431i | 1.20834 | + | 0.355240i | ||||
\(735\) | 8.34553 | + | 47.3299i | 0.307830 | + | 1.74579i | ||||
\(736\) | 0.522841 | − | 15.6460i | 0.0192722 | − | 0.576718i | ||||
\(737\) | −9.30550 | + | 7.80824i | −0.342772 | + | 0.287620i | ||||
\(738\) | 0.869777 | + | 1.30827i | 0.0320169 | + | 0.0481580i | ||||
\(739\) | 2.04540 | + | 0.953785i | 0.0752412 | + | 0.0350855i | 0.459875 | − | 0.887984i | \(-0.347894\pi\) |
−0.384633 | + | 0.923069i | \(0.625672\pi\) | |||||||
\(740\) | 81.6426 | + | 3.94382i | 3.00124 | + | 0.144978i | ||||
\(741\) | 4.21405 | + | 12.2045i | 0.154807 | + | 0.448344i | ||||
\(742\) | 53.6798 | + | 1.29577i | 1.97065 | + | 0.0475692i | ||||
\(743\) | 1.93818 | + | 5.32511i | 0.0711050 | + | 0.195359i | 0.970154 | − | 0.242488i | \(-0.0779634\pi\) |
−0.899050 | + | 0.437847i | \(0.855741\pi\) | |||||||
\(744\) | 17.0827 | + | 4.30620i | 0.626281 | + | 0.157873i | ||||
\(745\) | −11.4644 | − | 13.6628i | −0.420024 | − | 0.500565i | ||||
\(746\) | −25.6528 | + | 29.1150i | −0.939214 | + | 1.06597i | ||||
\(747\) | −1.53605 | − | 1.07555i | −0.0562012 | − | 0.0393525i | ||||
\(748\) | −1.69905 | + | 5.30285i | −0.0621233 | + | 0.193891i | ||||
\(749\) | 28.2080 | − | 7.55831i | 1.03070 | − | 0.276175i | ||||
\(750\) | −4.30365 | − | 9.84260i | −0.157147 | − | 0.359401i | ||||
\(751\) | 43.1838 | + | 15.7176i | 1.57580 | + | 0.573543i | 0.974285 | − | 0.225320i | \(-0.0723427\pi\) |
0.601513 | + | 0.798863i | \(0.294565\pi\) | |||||||
\(752\) | −23.4835 | + | 32.8848i | −0.856354 | + | 1.19918i | ||||
\(753\) | −15.1392 | − | 26.2219i | −0.551703 | − | 0.955578i | ||||
\(754\) | −3.05032 | + | 4.13995i | −0.111086 | + | 0.150768i | ||||
\(755\) | 0.212224 | + | 2.42573i | 0.00772363 | + | 0.0882815i | ||||
\(756\) | 6.01811 | − | 44.1304i | 0.218876 | − | 1.60501i | ||||
\(757\) | 22.0029 | + | 31.4234i | 0.799709 | + | 1.14210i | 0.987145 | + | 0.159826i | \(0.0510935\pi\) |
−0.187436 | + | 0.982277i | \(0.560018\pi\) | |||||||
\(758\) | 5.65199 | + | 16.7779i | 0.205289 | + | 0.609399i | ||||
\(759\) | − | 4.70775i | − | 0.170881i | ||||||
\(760\) | −34.1909 | + | 23.8525i | −1.24023 | + | 0.865221i | ||||
\(761\) | − | 36.2606i | − | 1.31445i | −0.753696 | − | 0.657223i | \(-0.771731\pi\) | ||
0.753696 | − | 0.657223i | \(-0.228269\pi\) | |||||||
\(762\) | 3.83419 | − | 1.29163i | 0.138898 | − | 0.0467908i | ||||
\(763\) | 35.1388 | + | 50.1834i | 1.27211 | + | 1.81676i | ||||
\(764\) | −1.20934 | − | 1.59126i | −0.0437523 | − | 0.0575697i | ||||
\(765\) | −0.412387 | − | 4.71361i | −0.0149099 | − | 0.170421i | ||||
\(766\) | 5.44443 | + | 4.01146i | 0.196715 | + | 0.144940i | ||||
\(767\) | −6.14533 | − | 10.6440i | −0.221895 | − | 0.384333i | ||||
\(768\) | 25.0065 | − | 1.72130i | 0.902344 | − | 0.0621120i | ||||
\(769\) | 29.7243 | + | 10.8188i | 1.07188 | + | 0.390134i | 0.816881 | − | 0.576806i | \(-0.195701\pi\) |
0.255004 | + | 0.966940i | \(0.417923\pi\) | |||||||
\(770\) | 19.0744 | − | 8.34021i | 0.687392 | − | 0.300560i | ||||
\(771\) | 20.2790 | − | 5.43374i | 0.730330 | − | 0.195691i | ||||
\(772\) | 30.2083 | − | 15.5479i | 1.08722 | − | 0.559581i | ||||
\(773\) | −0.859277 | − | 0.601672i | −0.0309061 | − | 0.0216407i | 0.558021 | − | 0.829827i | \(-0.311561\pi\) |
−0.588927 | + | 0.808186i | \(0.700450\pi\) | |||||||
\(774\) | −6.52321 | − | 5.74750i | −0.234472 | − | 0.206590i | ||||
\(775\) | −16.4427 | − | 19.5956i | −0.590639 | − | 0.703896i | ||||
\(776\) | 14.3925 | − | 8.59726i | 0.516662 | − | 0.308624i | ||||
\(777\) | 25.9626 | + | 71.3315i | 0.931402 | + | 2.55901i | ||||
\(778\) | 1.31333 | − | 54.4073i | 0.0470852 | − | 1.95060i | ||||
\(779\) | 8.76204 | − | 1.39546i | 0.313933 | − | 0.0499977i | ||||
\(780\) | −14.8319 | + | 13.4650i | −0.531067 | + | 0.482124i | ||||
\(781\) | −0.792186 | − | 0.369402i | −0.0283466 | − | 0.0132182i | ||||
\(782\) | 8.35635 | − | 5.55556i | 0.298822 | − | 0.198666i | ||||
\(783\) | −8.18321 | + | 6.86653i | −0.292444 | + | 0.245390i | ||||
\(784\) | 25.4219 | + | 25.8977i | 0.907926 | + | 0.924917i | ||||
\(785\) | 7.87988 | + | 44.6890i | 0.281245 | + | 1.59502i | ||||
\(786\) | 6.90714 | − | 23.4945i | 0.246370 | − | 0.838021i | ||||
\(787\) | −19.0362 | + | 5.10074i | −0.678568 | + | 0.181822i | −0.581611 | − | 0.813467i | \(-0.697578\pi\) |
−0.0969569 | + | 0.995289i | \(0.530911\pi\) | |||||||
\(788\) | 4.72528 | + | 11.5591i | 0.168331 | + | 0.411775i | ||||
\(789\) | 38.4603 | − | 17.9343i | 1.36922 | − | 0.638479i | ||||
\(790\) | 58.7288 | + | 35.8240i | 2.08948 | + | 1.27456i | ||||
\(791\) | −64.2725 | + | 37.1077i | −2.28527 | + | 1.31940i | ||||
\(792\) | −1.66747 | + | 0.170894i | −0.0592509 | + | 0.00607244i | ||||
\(793\) | −8.18275 | + | 9.75182i | −0.290578 | + | 0.346297i | ||||
\(794\) | 40.5922 | − | 32.4243i | 1.44056 | − | 1.15069i | ||||
\(795\) | −28.7759 | − | 41.0962i | −1.02058 | − | 1.45753i | ||||
\(796\) | 22.6248 | − | 7.01843i | 0.801913 | − | 0.248762i | ||||
\(797\) | −0.919988 | − | 0.919988i | −0.0325876 | − | 0.0325876i | 0.690625 | − | 0.723213i | \(-0.257335\pi\) |
−0.723213 | + | 0.690625i | \(0.757335\pi\) | |||||||
\(798\) | −32.7131 | − | 20.7073i | −1.15803 | − | 0.733032i | ||||
\(799\) | −25.9019 | −0.916345 | ||||||||
\(800\) | −30.8943 | − | 19.2405i | −1.09228 | − | 0.680253i | ||||
\(801\) | −1.12086 | + | 6.35671i | −0.0396036 | + | 0.224603i | ||||
\(802\) | 1.55174 | − | 13.8717i | 0.0547939 | − | 0.489827i | ||||
\(803\) | 0.112778 | + | 1.28906i | 0.00397985 | + | 0.0454899i | ||||
\(804\) | 4.41384 | + | 34.7711i | 0.155664 | + | 1.22628i | ||||
\(805\) | −36.2370 | − | 9.70969i | −1.27719 | − | 0.342221i | ||||
\(806\) | −5.53630 | + | 9.07604i | −0.195008 | + | 0.319690i | ||||
\(807\) | −11.1155 | + | 30.5395i | −0.391283 | + | 1.07504i | ||||
\(808\) | −38.6832 | − | 17.3430i | −1.36087 | − | 0.610125i | ||||
\(809\) | −5.18087 | − | 2.99118i | −0.182150 | − | 0.105164i | 0.406153 | − | 0.913805i | \(-0.366870\pi\) |
−0.588302 | + | 0.808641i | \(0.700203\pi\) | |||||||
\(810\) | −29.6574 | + | 16.1813i | −1.04206 | + | 0.568553i | ||||
\(811\) | 14.0031 | + | 9.80510i | 0.491717 | + | 0.344304i | 0.792991 | − | 0.609234i | \(-0.208523\pi\) |
−0.301274 | + | 0.953538i | \(0.597412\pi\) | |||||||
\(812\) | −0.601183 | − | 15.4079i | −0.0210974 | − | 0.540712i | ||||
\(813\) | 1.89454 | + | 0.165751i | 0.0664444 | + | 0.00581314i | ||||
\(814\) | 15.4565 | − | 10.2760i | 0.541752 | − | 0.360174i | ||||
\(815\) | −1.52744 | + | 0.555941i | −0.0535038 | + | 0.0194738i | ||||
\(816\) | 10.2131 | + | 12.4032i | 0.357530 | + | 0.434200i | ||||
\(817\) | −44.8384 | + | 20.0094i | −1.56870 | + | 0.700040i | ||||
\(818\) | 16.3446 | + | 17.1532i | 0.571475 | + | 0.599747i | ||||
\(819\) | 3.74936 | + | 1.74836i | 0.131013 | + | 0.0610925i | ||||
\(820\) | 7.34236 | + | 11.6440i | 0.256406 | + | 0.406624i | ||||
\(821\) | 1.25117 | − | 14.3010i | 0.0436662 | − | 0.499107i | −0.942598 | − | 0.333930i | \(-0.891625\pi\) |
0.986264 | − | 0.165177i | \(-0.0528195\pi\) | |||||||
\(822\) | 6.06183 | − | 6.87996i | 0.211430 | − | 0.239966i | ||||
\(823\) | −49.9637 | + | 8.80995i | −1.74163 | + | 0.307096i | −0.951910 | − | 0.306377i | \(-0.900883\pi\) |
−0.789716 | + | 0.613473i | \(0.789772\pi\) | |||||||
\(824\) | −2.25791 | − | 0.784006i | −0.0786580 | − | 0.0273122i | ||||
\(825\) | −9.47875 | − | 5.47256i | −0.330008 | − | 0.190530i | ||||
\(826\) | 34.3175 | + | 13.4370i | 1.19406 | + | 0.467533i | ||||
\(827\) | −1.81710 | + | 0.847326i | −0.0631867 | + | 0.0294644i | −0.453955 | − | 0.891025i | \(-0.649987\pi\) |
0.390768 | + | 0.920489i | \(0.372209\pi\) | |||||||
\(828\) | 2.54001 | + | 1.63477i | 0.0882716 | + | 0.0568121i | ||||
\(829\) | −3.16383 | + | 11.8076i | −0.109884 | + | 0.410094i | −0.998853 | − | 0.0478731i | \(-0.984756\pi\) |
0.888969 | + | 0.457967i | \(0.151422\pi\) | |||||||
\(830\) | −13.2279 | − | 9.74635i | −0.459148 | − | 0.338301i | ||||
\(831\) | −35.8285 | − | 30.0636i | −1.24288 | − | 1.04290i | ||||
\(832\) | −3.47896 | + | 14.7208i | −0.120611 | + | 0.510352i | ||||
\(833\) | −4.03935 | + | 22.9083i | −0.139955 | + | 0.793726i | ||||
\(834\) | 15.8580 | − | 31.9699i | 0.549119 | − | 1.10703i | ||||
\(835\) | −15.9745 | − | 15.9745i | −0.552820 | − | 0.552820i | ||||
\(836\) | −3.03768 | + | 8.96594i | −0.105060 | + | 0.310094i | ||||
\(837\) | −15.6164 | + | 15.6164i | −0.539783 | + | 0.539783i | ||||
\(838\) | −36.8647 | + | 12.4187i | −1.27347 | + | 0.428996i | ||||
\(839\) | −13.0062 | − | 2.29335i | −0.449025 | − | 0.0791752i | −0.0554370 | − | 0.998462i | \(-0.517655\pi\) |
−0.393588 | + | 0.919287i | \(0.628766\pi\) | |||||||
\(840\) | 9.55031 | − | 59.3040i | 0.329517 | − | 2.04618i | ||||
\(841\) | 16.2636 | − | 19.3822i | 0.560814 | − | 0.668352i | ||||
\(842\) | −47.6338 | + | 7.21857i | −1.64157 | + | 0.248768i | ||||
\(843\) | 26.3849 | + | 7.06982i | 0.908746 | + | 0.243498i | ||||
\(844\) | 0.488483 | + | 2.25277i | 0.0168143 | + | 0.0775435i | ||||
\(845\) | 13.4686 | + | 28.8836i | 0.463335 | + | 0.993625i | ||||
\(846\) | −3.12368 | − | 7.14397i | −0.107394 | − | 0.245615i | ||||
\(847\) | −19.6861 | + | 34.0974i | −0.676424 | + | 1.17160i | ||||
\(848\) | −35.4764 | − | 13.2861i | −1.21827 | − | 0.456246i | ||||
\(849\) | 4.65132 | + | 26.3790i | 0.159633 | + | 0.905323i | ||||
\(850\) | −1.47187 | − | 23.2831i | −0.0504846 | − | 0.798602i | ||||
\(851\) | −33.3203 | − | 2.91515i | −1.14220 | − | 0.0999300i | ||||
\(852\) | −2.13334 | + | 1.34523i | −0.0730871 | + | 0.0460867i | ||||
\(853\) | 6.73602 | − | 14.4454i | 0.230637 | − | 0.494602i | −0.756597 | − | 0.653882i | \(-0.773139\pi\) |
0.987234 | + | 0.159280i | \(0.0509171\pi\) | |||||||
\(854\) | 0.921162 | − | 38.1609i | 0.0315215 | − | 1.30584i | ||||
\(855\) | −0.567992 | − | 8.02390i | −0.0194249 | − | 0.274412i | ||||
\(856\) | −20.5491 | − | 1.49041i | −0.702353 | − | 0.0509413i | ||||
\(857\) | −14.9486 | − | 41.0711i | −0.510636 | − | 1.40296i | −0.880576 | − | 0.473905i | \(-0.842844\pi\) |
0.369940 | − | 0.929056i | \(-0.379378\pi\) | |||||||
\(858\) | −0.897776 | + | 4.45938i | −0.0306496 | + | 0.152241i | ||||
\(859\) | 0.876115 | − | 10.0140i | 0.0298926 | − | 0.341675i | −0.966491 | − | 0.256702i | \(-0.917364\pi\) |
0.996383 | − | 0.0849727i | \(-0.0270803\pi\) | |||||||
\(860\) | −55.9261 | − | 51.7258i | −1.90706 | − | 1.76383i | ||||
\(861\) | −7.33263 | + | 10.4721i | −0.249895 | + | 0.356887i | ||||
\(862\) | −16.7082 | − | 4.91204i | −0.569084 | − | 0.167305i | ||||
\(863\) | −3.86406 | + | 6.69275i | −0.131534 | + | 0.227824i | −0.924268 | − | 0.381744i | \(-0.875324\pi\) |
0.792734 | + | 0.609568i | \(0.208657\pi\) | |||||||
\(864\) | −14.2235 | + | 28.0192i | −0.483894 | + | 0.953232i | ||||
\(865\) | −23.3175 | − | 8.48688i | −0.792820 | − | 0.288563i | ||||
\(866\) | 2.70252 | + | 11.1562i | 0.0918353 | + | 0.379103i | ||||
\(867\) | 4.22740 | − | 15.7769i | 0.143570 | − | 0.535810i | ||||
\(868\) | −4.01446 | − | 31.6249i | −0.136260 | − | 1.07342i | ||||
\(869\) | 15.5618 | − | 1.36148i | 0.527897 | − | 0.0461850i | ||||
\(870\) | −11.2567 | + | 8.99163i | −0.381637 | + | 0.304845i | ||||
\(871\) | −20.8303 | − | 3.67294i | −0.705807 | − | 0.124453i | ||||
\(872\) | −11.8058 | − | 41.5777i | −0.399795 | − | 1.40800i | ||||
\(873\) | 3.23481i | 0.109482i | ||||||||
\(874\) | 14.3610 | − | 9.20767i | 0.485768 | − | 0.311454i | ||||
\(875\) | −13.7452 | + | 13.7452i | −0.464674 | + | 0.464674i | ||||
\(876\) | 3.30376 | + | 1.73934i | 0.111624 | + | 0.0587667i | ||||
\(877\) | −1.85729 | + | 1.30049i | −0.0627162 | + | 0.0439144i | −0.604514 | − | 0.796594i | \(-0.706633\pi\) |
0.541798 | + | 0.840509i | \(0.317744\pi\) | |||||||
\(878\) | −17.3023 | − | 1.93551i | −0.583926 | − | 0.0653202i | ||||
\(879\) | 5.40442 | + | 4.53484i | 0.182286 | + | 0.152956i | ||||
\(880\) | −14.6427 | + | 1.14439i | −0.493605 | + | 0.0385775i | ||||
\(881\) | −8.61686 | − | 14.9248i | −0.290309 | − | 0.502831i | 0.683573 | − | 0.729882i | \(-0.260425\pi\) |
−0.973883 | + | 0.227051i | \(0.927092\pi\) | |||||||
\(882\) | −6.80543 | + | 1.64857i | −0.229151 | + | 0.0555103i | ||||
\(883\) | 17.8591 | + | 38.2989i | 0.601006 | + | 1.28886i | 0.937765 | + | 0.347271i | \(0.112892\pi\) |
−0.336759 | + | 0.941591i | \(0.609331\pi\) | |||||||
\(884\) | −8.97494 | + | 3.66890i | −0.301860 | + | 0.123398i | ||||
\(885\) | −8.91221 | − | 33.2608i | −0.299581 | − | 1.11805i | ||||
\(886\) | −32.2625 | + | 17.6026i | −1.08388 | + | 0.591372i | ||||
\(887\) | 49.9198 | − | 8.80221i | 1.67614 | − | 0.295549i | 0.746878 | − | 0.664961i | \(-0.231552\pi\) |
0.929266 | + | 0.369412i | \(0.120441\pi\) | |||||||
\(888\) | −0.796002 | − | 53.5490i | −0.0267121 | − | 1.79699i | ||||
\(889\) | −4.70598 | − | 5.60837i | −0.157834 | − | 0.188099i | ||||
\(890\) | −11.1625 | + | 55.4459i | −0.374169 | + | 1.85855i | ||||
\(891\) | −3.24219 | + | 6.95291i | −0.108618 | + | 0.232931i | ||||
\(892\) | −0.233312 | + | 4.82988i | −0.00781186 | + | 0.161716i | ||||
\(893\) | −44.0286 | − | 0.730801i | −1.47336 | − | 0.0244553i | ||||
\(894\) | −8.46016 | + | 8.06135i | −0.282950 | + | 0.269612i | ||||
\(895\) | 22.4929 | − | 8.18676i | 0.751856 | − | 0.273653i | ||||
\(896\) | −19.3984 | − | 40.9998i | −0.648056 | − | 1.36971i | ||||
\(897\) | 6.27951 | − | 5.26913i | 0.209667 | − | 0.175931i | ||||
\(898\) | −51.0875 | + | 3.22956i | −1.70481 | + | 0.107772i | ||||
\(899\) | −4.38554 | + | 6.26320i | −0.146266 | + | 0.208889i | ||||
\(900\) | 6.24416 | − | 3.21380i | 0.208139 | − | 0.107127i | ||||
\(901\) | −6.28480 | − | 23.4552i | −0.209377 | − | 0.781406i | ||||
\(902\) | 2.91068 | + | 1.13967i | 0.0969150 | + | 0.0379470i | ||||
\(903\) | 24.1970 | − | 66.4807i | 0.805226 | − | 2.21234i | ||||
\(904\) | 51.4235 | − | 9.85759i | 1.71032 | − | 0.327859i | ||||
\(905\) | −32.6830 | + | 18.8695i | −1.08642 | + | 0.627244i | ||||
\(906\) | 1.57741 | − | 0.239046i | 0.0524060 | − | 0.00794176i | ||||
\(907\) | −1.46171 | + | 0.127883i | −0.0485354 | + | 0.00424630i | −0.111398 | − | 0.993776i | \(-0.535533\pi\) |
0.0628622 | + | 0.998022i | \(0.479977\pi\) | |||||||
\(908\) | −6.01209 | + | 44.0863i | −0.199518 | + | 1.46306i | ||||
\(909\) | 6.70055 | − | 4.69178i | 0.222243 | − | 0.155616i | ||||
\(910\) | 32.4736 | + | 16.1079i | 1.07649 | + | 0.533971i | ||||
\(911\) | 21.2623 | 0.704453 | 0.352226 | − | 0.935915i | \(-0.385425\pi\) | ||||
0.352226 | + | 0.935915i | \(0.385425\pi\) | |||||||
\(912\) | 17.0105 | + | 21.3714i | 0.563273 | + | 0.707676i | ||||
\(913\) | −3.73104 | −0.123479 | ||||||||
\(914\) | −13.6551 | − | 6.77333i | −0.451670 | − | 0.224042i | ||||
\(915\) | −29.2153 | + | 20.4568i | −0.965827 | + | 0.676279i | ||||
\(916\) | −26.2593 | − | 3.58100i | −0.867631 | − | 0.118320i | ||||
\(917\) | −44.1447 | + | 3.86217i | −1.45779 | + | 0.127540i | ||||
\(918\) | −19.9144 | + | 3.01789i | −0.657273 | + | 0.0996051i | ||||
\(919\) | 34.3692 | − | 19.8431i | 1.13374 | − | 0.654563i | 0.188864 | − | 0.982003i | \(-0.439519\pi\) |
0.944872 | + | 0.327440i | \(0.106186\pi\) | |||||||
\(920\) | 21.9041 | + | 14.8572i | 0.722157 | + | 0.489827i | ||||
\(921\) | 3.54589 | − | 9.74224i | 0.116841 | − | 0.321018i | ||||
\(922\) | 28.6966 | + | 11.2361i | 0.945073 | + | 0.370042i | ||||
\(923\) | −0.393918 | − | 1.47012i | −0.0129660 | − | 0.0483896i | ||||
\(924\) | −6.24213 | − | 12.1279i | −0.205351 | − | 0.398980i | ||||
\(925\) | −44.6028 | + | 63.6995i | −1.46653 | + | 2.09443i | ||||
\(926\) | 55.8713 | − | 3.53197i | 1.83604 | − | 0.116068i | ||||
\(927\) | 0.353290 | − | 0.296445i | 0.0116036 | − | 0.00973654i | ||||
\(928\) | −3.16500 | + | 10.4081i | −0.103896 | + | 0.341663i | ||||
\(929\) | 1.27728 | − | 0.464893i | 0.0419063 | − | 0.0152527i | −0.320982 | − | 0.947085i | \(-0.604013\pi\) |
0.362888 | + | 0.931833i | \(0.381791\pi\) | |||||||
\(930\) | −21.5635 | + | 20.5470i | −0.707094 | + | 0.673761i | ||||
\(931\) | −7.51250 | + | 38.8260i | −0.246212 | + | 1.27247i | ||||
\(932\) | −18.7359 | − | 0.905054i | −0.613714 | − | 0.0296460i | ||||
\(933\) | −14.0923 | + | 30.2210i | −0.461360 | + | 0.989390i | ||||
\(934\) | 5.52416 | − | 27.4393i | 0.180756 | − | 0.897842i | ||||
\(935\) | −6.05153 | − | 7.21193i | −0.197906 | − | 0.235855i | ||||
\(936\) | −2.09426 | − | 2.03291i | −0.0684529 | − | 0.0664477i | ||||
\(937\) | 20.1249 | − | 3.54856i | 0.657451 | − | 0.115926i | 0.165037 | − | 0.986287i | \(-0.447226\pi\) |
0.492414 | + | 0.870361i | \(0.336115\pi\) | |||||||
\(938\) | 55.6765 | − | 30.3775i | 1.81790 | − | 0.991861i | ||||
\(939\) | 9.23098 | + | 34.4505i | 0.301242 | + | 1.12425i | ||||
\(940\) | −25.8519 | − | 63.2396i | −0.843197 | − | 2.06265i | ||||
\(941\) | −0.950819 | − | 2.03904i | −0.0309958 | − | 0.0664707i | 0.890200 | − | 0.455569i | \(-0.150564\pi\) |
−0.921196 | + | 0.389099i | \(0.872787\pi\) | |||||||
\(942\) | 28.8963 | − | 6.99995i | 0.941494 | − | 0.228071i | ||||
\(943\) | −2.81648 | − | 4.87829i | −0.0917173 | − | 0.158859i | ||||
\(944\) | −19.7622 | − | 16.8971i | −0.643206 | − | 0.549955i | ||||
\(945\) | 57.6848 | + | 48.4033i | 1.87649 | + | 1.57456i | ||||
\(946\) | −17.1913 | − | 1.92309i | −0.558938 | − | 0.0625249i | ||||
\(947\) | 20.4036 | − | 14.2868i | 0.663029 | − | 0.464258i | −0.192991 | − | 0.981201i | \(-0.561819\pi\) |
0.856020 | + | 0.516942i | \(0.172930\pi\) | |||||||
\(948\) | 20.9976 | − | 39.8835i | 0.681970 | − | 1.29536i | ||||
\(949\) | −1.59321 | + | 1.59321i | −0.0517177 | + | 0.0517177i | ||||
\(950\) | −1.84499 | − | 39.6185i | −0.0598595 | − | 1.28539i | ||||
\(951\) | − | 46.5447i | − | 1.50932i | ||||||
\(952\) | 14.1610 | − | 25.3919i | 0.458962 | − | 0.822957i | ||||
\(953\) | −25.3826 | − | 4.47565i | −0.822225 | − | 0.144980i | −0.253319 | − | 0.967383i | \(-0.581522\pi\) |
−0.568906 | + | 0.822403i | \(0.692633\pi\) | |||||||
\(954\) | 5.71121 | − | 4.56201i | 0.184907 | − | 0.147701i | ||||
\(955\) | 3.36627 | − | 0.294510i | 0.108930 | − | 0.00953013i | ||||
\(956\) | 17.5624 | − | 2.22937i | 0.568008 | − | 0.0721029i | ||||
\(957\) | −0.846726 | + | 3.16002i | −0.0273708 | + | 0.102149i | ||||
\(958\) | −5.01043 | − | 20.6834i | −0.161880 | − | 0.668252i | ||||
\(959\) | −15.5919 | − | 5.67498i | −0.503488 | − | 0.183255i | ||||
\(960\) | −20.0891 | + | 37.3146i | −0.648372 | + | 1.20432i | ||||
\(961\) | 7.59634 | − | 13.1572i | 0.245043 | − | 0.424427i | ||||
\(962\) | 31.0065 | + | 9.11558i | 0.999689 | + | 0.293898i | ||||
\(963\) | 2.28021 | − | 3.25648i | 0.0734787 | − | 0.104938i | ||||
\(964\) | 18.4296 | − | 19.9262i | 0.593579 | − | 0.641780i | ||||
\(965\) | −5.00633 | + | 57.2226i | −0.161159 | + | 1.84206i | ||||
\(966\) | −4.85122 | + | 24.0967i | −0.156085 | + | 0.775299i | ||||
\(967\) | 7.03029 | + | 19.3156i | 0.226079 | + | 0.621146i | 0.999925 | − | 0.0122269i | \(-0.00389203\pi\) |
−0.773846 | + | 0.633373i | \(0.781670\pi\) | |||||||
\(968\) | 21.0111 | − | 18.1694i | 0.675322 | − | 0.583986i | ||||
\(969\) | −4.81160 | + | 16.8344i | −0.154571 | + | 0.540800i | ||||
\(970\) | −0.684000 | + | 28.3360i | −0.0219619 | + | 0.909815i | ||||
\(971\) | 12.1125 | − | 25.9754i | 0.388710 | − | 0.833591i | −0.610428 | − | 0.792072i | \(-0.709002\pi\) |
0.999138 | − | 0.0415192i | \(-0.0132198\pi\) | |||||||
\(972\) | −5.97016 | − | 9.46783i | −0.191493 | − | 0.303681i | ||||
\(973\) | −64.3310 | − | 5.62823i | −2.06236 | − | 0.180433i | ||||
\(974\) | 2.53762 | + | 40.1418i | 0.0813105 | + | 1.28623i | ||||
\(975\) | −3.30940 | − | 18.7685i | −0.105985 | − | 0.601074i | ||||
\(976\) | −9.44507 | + | 25.2202i | −0.302329 | + | 0.807278i | ||||
\(977\) | −6.74145 | + | 11.6765i | −0.215678 | + | 0.373565i | −0.953482 | − | 0.301450i | \(-0.902530\pi\) |
0.737804 | + | 0.675015i | \(0.235863\pi\) | |||||||
\(978\) | 0.426669 | + | 0.975807i | 0.0136434 | + | 0.0312029i | ||||
\(979\) | 5.42773 | + | 11.6398i | 0.173471 | + | 0.372009i | ||||
\(980\) | −59.9622 | + | 13.0020i | −1.91542 | + | 0.415334i | ||||
\(981\) | 8.05552 | + | 2.15847i | 0.257193 | + | 0.0689147i | ||||
\(982\) | −28.3836 | + | 4.30134i | −0.905757 | + | 0.137261i | ||||
\(983\) | 16.4393 | − | 19.5915i | 0.524331 | − | 0.624873i | −0.437268 | − | 0.899331i | \(-0.644054\pi\) |
0.961599 | + | 0.274458i | \(0.0884984\pi\) | |||||||
\(984\) | 7.31045 | − | 5.28248i | 0.233049 | − | 0.168399i | ||||
\(985\) | −20.7921 | − | 3.66621i | −0.662492 | − | 0.116815i | ||||
\(986\) | −6.60831 | + | 2.22615i | −0.210451 | + | 0.0708951i | ||||
\(987\) | 44.8645 | − | 44.8645i | 1.42805 | − | 1.42805i | ||||
\(988\) | −15.3593 | + | 5.98323i | −0.488644 | + | 0.190352i | ||||
\(989\) | 22.0426 | + | 22.0426i | 0.700915 | + | 0.700915i | ||||
\(990\) | 1.25932 | − | 2.53879i | 0.0400237 | − | 0.0806882i | ||||
\(991\) | −2.55352 | + | 14.4817i | −0.0811152 | + | 0.460027i | 0.917012 | + | 0.398859i | \(0.130594\pi\) |
−0.998127 | + | 0.0611681i | \(0.980517\pi\) | |||||||
\(992\) | −4.64304 | + | 22.0063i | −0.147417 | + | 0.698700i | ||||
\(993\) | 9.71047 | + | 8.14805i | 0.308152 | + | 0.258570i | ||||
\(994\) | 3.67416 | + | 2.70712i | 0.116537 | + | 0.0858646i | ||||
\(995\) | −10.3657 | + | 38.6853i | −0.328615 | + | 1.22641i | ||||
\(996\) | −5.82632 | + | 9.05261i | −0.184614 | + | 0.286843i | ||||
\(997\) | 1.23129 | − | 0.574159i | 0.0389953 | − | 0.0181838i | −0.403023 | − | 0.915190i | \(-0.632040\pi\) |
0.442018 | + | 0.897006i | \(0.354263\pi\) | |||||||
\(998\) | 15.8854 | + | 6.21992i | 0.502844 | + | 0.196888i | ||||
\(999\) | 58.1424 | + | 33.5686i | 1.83955 | + | 1.06206i |
(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 | 304.2.bi.a.157.14 | yes | 456 | |
16.5 | even | 4 | inner | 304.2.bi.a.5.6 | ✓ | 456 | |
19.4 | even | 9 | inner | 304.2.bi.a.61.6 | yes | 456 | |
304.213 | even | 36 | inner | 304.2.bi.a.213.14 | yes | 456 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
304.2.bi.a.5.6 | ✓ | 456 | 16.5 | even | 4 | inner | |
304.2.bi.a.61.6 | yes | 456 | 19.4 | even | 9 | inner | |
304.2.bi.a.157.14 | yes | 456 | 1.1 | even | 1 | trivial | |
304.2.bi.a.213.14 | yes | 456 | 304.213 | even | 36 | inner |