Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [572,2,Mod(95,572)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(572, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([15, 21, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("572.95");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 572 = 2^{2} \cdot 11 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 572.bn (of order \(30\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.56744299562\) |
Analytic rank: | \(0\) |
Dimension: | \(640\) |
Relative dimension: | \(80\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 95.13 | ||
Character | \(\chi\) | \(=\) | 572.95 |
Dual form | 572.2.bn.a.283.13 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/572\mathbb{Z}\right)^\times\).
\(n\) | \(287\) | \(353\) | \(365\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{7}{10}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.25254 | + | 0.656612i | −0.885681 | + | 0.464294i | ||||
\(3\) | −1.23162 | + | 1.10895i | −0.711074 | + | 0.640254i | −0.943121 | − | 0.332451i | \(-0.892124\pi\) |
0.232047 | + | 0.972705i | \(0.425458\pi\) | |||||||
\(4\) | 1.13772 | − | 1.64487i | 0.568861 | − | 0.822433i | ||||
\(5\) | 0.467022 | + | 0.642801i | 0.208859 | + | 0.287469i | 0.900576 | − | 0.434700i | \(-0.143145\pi\) |
−0.691717 | + | 0.722169i | \(0.743145\pi\) | |||||||
\(6\) | 0.814500 | − | 2.19770i | 0.332518 | − | 0.897208i | ||||
\(7\) | 3.46433 | + | 3.11929i | 1.30939 | + | 1.17898i | 0.971297 | + | 0.237870i | \(0.0764491\pi\) |
0.338095 | + | 0.941112i | \(0.390218\pi\) | |||||||
\(8\) | −0.345007 | + | 2.80731i | −0.121978 | + | 0.992533i | ||||
\(9\) | −0.0264818 | + | 0.251958i | −0.00882728 | + | 0.0839859i | ||||
\(10\) | −1.00703 | − | 0.498483i | −0.318452 | − | 0.157634i | ||||
\(11\) | 1.80498 | − | 2.78245i | 0.544223 | − | 0.838940i | ||||
\(12\) | 0.422841 | + | 3.28753i | 0.122064 | + | 0.949027i | ||||
\(13\) | 2.62434 | − | 2.47242i | 0.727861 | − | 0.685725i | ||||
\(14\) | −6.38738 | − | 1.63233i | −1.70710 | − | 0.436258i | ||||
\(15\) | −1.28803 | − | 0.273779i | −0.332567 | − | 0.0706893i | ||||
\(16\) | −1.41117 | − | 3.74280i | −0.352794 | − | 0.935701i | ||||
\(17\) | 2.86786 | − | 6.44131i | 0.695557 | − | 1.56225i | −0.125942 | − | 0.992038i | \(-0.540195\pi\) |
0.821499 | − | 0.570209i | \(-0.193138\pi\) | |||||||
\(18\) | −0.132269 | − | 0.332976i | −0.0311761 | − | 0.0784832i | ||||
\(19\) | 1.32072 | + | 6.21351i | 0.302995 | + | 1.42548i | 0.821405 | + | 0.570346i | \(0.193191\pi\) |
−0.518410 | + | 0.855132i | \(0.673476\pi\) | |||||||
\(20\) | 1.58866 | − | 0.0368603i | 0.355236 | − | 0.00824221i | ||||
\(21\) | −7.72587 | −1.68592 | ||||||||
\(22\) | −0.433830 | + | 4.67031i | −0.0924929 | + | 0.995713i | ||||
\(23\) | 3.12267 | + | 1.80287i | 0.651122 | + | 0.375925i | 0.788886 | − | 0.614540i | \(-0.210658\pi\) |
−0.137764 | + | 0.990465i | \(0.543992\pi\) | |||||||
\(24\) | −2.68825 | − | 3.84012i | −0.548737 | − | 0.783861i | ||||
\(25\) | 1.35000 | − | 4.15488i | 0.270000 | − | 0.830976i | ||||
\(26\) | −1.66368 | + | 4.81998i | −0.326274 | + | 0.945275i | ||||
\(27\) | −3.16921 | − | 4.36204i | −0.609915 | − | 0.839475i | ||||
\(28\) | 9.07226 | − | 2.14946i | 1.71450 | − | 0.406211i | ||||
\(29\) | −0.733459 | + | 3.45065i | −0.136200 | + | 0.640770i | 0.856090 | + | 0.516828i | \(0.172887\pi\) |
−0.992289 | + | 0.123942i | \(0.960446\pi\) | |||||||
\(30\) | 1.79307 | − | 0.502814i | 0.327369 | − | 0.0918009i | ||||
\(31\) | 4.33166 | + | 3.14713i | 0.777989 | + | 0.565242i | 0.904375 | − | 0.426739i | \(-0.140338\pi\) |
−0.126386 | + | 0.991981i | \(0.540338\pi\) | |||||||
\(32\) | 4.22512 | + | 3.76143i | 0.746903 | + | 0.664932i | ||||
\(33\) | 0.862556 | + | 5.42855i | 0.150152 | + | 0.944990i | ||||
\(34\) | 0.637329 | + | 9.95108i | 0.109301 | + | 1.70660i | ||||
\(35\) | −0.387167 | + | 3.68365i | −0.0654432 | + | 0.622650i | ||||
\(36\) | 0.384308 | + | 0.330217i | 0.0640513 | + | 0.0550362i | ||||
\(37\) | −0.663412 | + | 3.12111i | −0.109064 | + | 0.513107i | 0.889371 | + | 0.457186i | \(0.151143\pi\) |
−0.998435 | + | 0.0559207i | \(0.982191\pi\) | |||||||
\(38\) | −5.73413 | − | 6.91548i | −0.930198 | − | 1.12184i | ||||
\(39\) | −0.490385 | + | 5.95534i | −0.0785245 | + | 0.953617i | ||||
\(40\) | −1.96566 | + | 1.08930i | −0.310799 | + | 0.172234i | ||||
\(41\) | −5.12144 | − | 5.68794i | −0.799835 | − | 0.888306i | 0.195895 | − | 0.980625i | \(-0.437239\pi\) |
−0.995730 | + | 0.0923185i | \(0.970572\pi\) | |||||||
\(42\) | 9.67697 | − | 5.07289i | 1.49319 | − | 0.782764i | ||||
\(43\) | 0.251423 | + | 0.435478i | 0.0383417 | + | 0.0664098i | 0.884559 | − | 0.466427i | \(-0.154459\pi\) |
−0.846218 | + | 0.532837i | \(0.821126\pi\) | |||||||
\(44\) | −2.52319 | − | 6.13462i | −0.380385 | − | 0.924828i | ||||
\(45\) | −0.174326 | + | 0.100647i | −0.0259870 | + | 0.0150036i | ||||
\(46\) | −5.09506 | − | 0.207795i | −0.751226 | − | 0.0306376i | ||||
\(47\) | −1.22687 | + | 3.77593i | −0.178958 | + | 0.550775i | −0.999792 | − | 0.0203910i | \(-0.993509\pi\) |
0.820834 | + | 0.571166i | \(0.193509\pi\) | |||||||
\(48\) | 5.88862 | + | 3.04477i | 0.849949 | + | 0.439475i | ||||
\(49\) | 1.53986 | + | 14.6508i | 0.219981 | + | 2.09298i | ||||
\(50\) | 1.03721 | + | 6.09059i | 0.146683 | + | 0.861339i | ||||
\(51\) | 3.61101 | + | 11.1135i | 0.505642 | + | 1.55621i | ||||
\(52\) | −1.08103 | − | 7.12961i | −0.149912 | − | 0.988699i | ||||
\(53\) | −3.82494 | − | 2.77898i | −0.525395 | − | 0.381722i | 0.293237 | − | 0.956040i | \(-0.405267\pi\) |
−0.818633 | + | 0.574318i | \(0.805267\pi\) | |||||||
\(54\) | 6.83373 | + | 3.38270i | 0.929953 | + | 0.460327i | ||||
\(55\) | 2.63153 | − | 0.139220i | 0.354835 | − | 0.0187724i | ||||
\(56\) | −9.95203 | + | 8.64925i | −1.32990 | + | 1.15580i | ||||
\(57\) | −8.51711 | − | 6.18805i | −1.12812 | − | 0.819627i | ||||
\(58\) | −1.34705 | − | 4.80368i | −0.176876 | − | 0.630755i | ||||
\(59\) | −2.36178 | + | 2.62302i | −0.307477 | + | 0.341488i | −0.877003 | − | 0.480486i | \(-0.840460\pi\) |
0.569525 | + | 0.821974i | \(0.307127\pi\) | |||||||
\(60\) | −1.91575 | + | 1.80715i | −0.247322 | + | 0.233302i | ||||
\(61\) | −4.20071 | + | 9.43495i | −0.537846 | + | 1.20802i | 0.416450 | + | 0.909158i | \(0.363274\pi\) |
−0.954296 | + | 0.298863i | \(0.903393\pi\) | |||||||
\(62\) | −7.49203 | − | 1.09770i | −0.951489 | − | 0.139408i | ||||
\(63\) | −0.877672 | + | 0.790259i | −0.110576 | + | 0.0995633i | ||||
\(64\) | −7.76194 | − | 1.93708i | −0.970243 | − | 0.242135i | ||||
\(65\) | 2.81489 | + | 0.532253i | 0.349145 | + | 0.0660179i | ||||
\(66\) | −4.64484 | − | 6.23313i | −0.571740 | − | 0.767245i | ||||
\(67\) | −1.03603 | + | 1.79445i | −0.126571 | + | 0.219227i | −0.922346 | − | 0.386365i | \(-0.873730\pi\) |
0.795775 | + | 0.605592i | \(0.207064\pi\) | |||||||
\(68\) | −7.33227 | − | 12.0457i | −0.889169 | − | 1.46075i | ||||
\(69\) | −5.84523 | + | 1.24244i | −0.703683 | + | 0.149573i | ||||
\(70\) | −1.93378 | − | 4.86814i | −0.231131 | − | 0.581854i | ||||
\(71\) | −3.65434 | − | 1.62702i | −0.433690 | − | 0.193091i | 0.178267 | − | 0.983982i | \(-0.442951\pi\) |
−0.611957 | + | 0.790891i | \(0.709618\pi\) | |||||||
\(72\) | −0.698186 | − | 0.161270i | −0.0822821 | − | 0.0190058i | ||||
\(73\) | −1.37563 | − | 4.23375i | −0.161005 | − | 0.495523i | 0.837715 | − | 0.546108i | \(-0.183891\pi\) |
−0.998720 | + | 0.0505852i | \(0.983891\pi\) | |||||||
\(74\) | −1.21840 | − | 4.34492i | −0.141637 | − | 0.505087i | ||||
\(75\) | 2.94488 | + | 6.61430i | 0.340045 | + | 0.763754i | ||||
\(76\) | 11.7230 | + | 4.89684i | 1.34472 | + | 0.561706i | ||||
\(77\) | 14.9323 | − | 4.00904i | 1.70170 | − | 0.456872i | ||||
\(78\) | −3.29611 | − | 7.78130i | −0.373211 | − | 0.881059i | ||||
\(79\) | 0.0159630 | + | 0.0115978i | 0.00179597 | + | 0.00130485i | 0.588683 | − | 0.808364i | \(-0.299647\pi\) |
−0.586887 | + | 0.809669i | \(0.699647\pi\) | |||||||
\(80\) | 1.74683 | − | 2.65508i | 0.195301 | − | 0.296846i | ||||
\(81\) | 7.99712 | + | 1.69984i | 0.888569 | + | 0.188871i | ||||
\(82\) | 10.1496 | + | 3.76158i | 1.12083 | + | 0.415397i | ||||
\(83\) | −7.59491 | − | 10.4535i | −0.833650 | − | 1.14742i | −0.987233 | − | 0.159285i | \(-0.949081\pi\) |
0.153583 | − | 0.988136i | \(-0.450919\pi\) | |||||||
\(84\) | −8.78989 | + | 12.7080i | −0.959056 | + | 1.38656i | ||||
\(85\) | 5.47983 | − | 1.16477i | 0.594371 | − | 0.126337i | ||||
\(86\) | −0.600858 | − | 0.380367i | −0.0647922 | − | 0.0410160i | ||||
\(87\) | −2.92327 | − | 5.06325i | −0.313407 | − | 0.542837i | ||||
\(88\) | 7.18846 | + | 6.02711i | 0.766292 | + | 0.642492i | ||||
\(89\) | 11.5020 | + | 6.64068i | 1.21921 | + | 0.703911i | 0.964749 | − | 0.263172i | \(-0.0847687\pi\) |
0.254461 | + | 0.967083i | \(0.418102\pi\) | |||||||
\(90\) | 0.152265 | − | 0.240530i | 0.0160501 | − | 0.0253540i | ||||
\(91\) | 16.8038 | − | 0.379179i | 1.76151 | − | 0.0397488i | ||||
\(92\) | 6.51822 | − | 3.08521i | 0.679571 | − | 0.321655i | ||||
\(93\) | −8.82496 | + | 0.927541i | −0.915106 | + | 0.0961815i | ||||
\(94\) | −0.942607 | − | 5.53508i | −0.0972225 | − | 0.570900i | ||||
\(95\) | −3.37724 | + | 3.75081i | −0.346498 | + | 0.384825i | ||||
\(96\) | −9.37497 | + | 0.0528275i | −0.956829 | + | 0.00539168i | ||||
\(97\) | 17.1519 | + | 1.80273i | 1.74151 | + | 0.183040i | 0.921255 | − | 0.388960i | \(-0.127166\pi\) |
0.820254 | + | 0.572000i | \(0.193832\pi\) | |||||||
\(98\) | −11.5487 | − | 17.3397i | −1.16659 | − | 1.75157i | ||||
\(99\) | 0.653261 | + | 0.528464i | 0.0656552 | + | 0.0531127i | ||||
\(100\) | −5.29830 | − | 6.94767i | −0.529830 | − | 0.694767i | ||||
\(101\) | −1.89568 | − | 4.25776i | −0.188627 | − | 0.423663i | 0.794333 | − | 0.607482i | \(-0.207820\pi\) |
−0.982960 | + | 0.183819i | \(0.941154\pi\) | |||||||
\(102\) | −11.8202 | − | 11.5491i | −1.17038 | − | 1.14354i | ||||
\(103\) | −9.22947 | + | 2.99884i | −0.909407 | + | 0.295484i | −0.726114 | − | 0.687574i | \(-0.758676\pi\) |
−0.183293 | + | 0.983058i | \(0.558676\pi\) | |||||||
\(104\) | 6.03542 | + | 8.22032i | 0.591822 | + | 0.806069i | ||||
\(105\) | −3.60815 | − | 4.96619i | −0.352119 | − | 0.484651i | ||||
\(106\) | 6.61560 | + | 0.969290i | 0.642564 | + | 0.0941458i | ||||
\(107\) | −3.34143 | − | 3.71103i | −0.323028 | − | 0.358759i | 0.559657 | − | 0.828725i | \(-0.310933\pi\) |
−0.882685 | + | 0.469965i | \(0.844266\pi\) | |||||||
\(108\) | −10.7807 | + | 0.250134i | −1.03737 | + | 0.0240691i | ||||
\(109\) | −5.13498 | −0.491842 | −0.245921 | − | 0.969290i | \(-0.579090\pi\) | ||||
−0.245921 | + | 0.969290i | \(0.579090\pi\) | |||||||
\(110\) | −3.20469 | + | 1.90227i | −0.305555 | + | 0.181374i | ||||
\(111\) | −2.64409 | − | 4.57970i | −0.250966 | − | 0.434686i | ||||
\(112\) | 6.78613 | − | 17.3682i | 0.641229 | − | 1.64114i | ||||
\(113\) | 1.27443 | − | 0.270889i | 0.119888 | − | 0.0254831i | −0.147577 | − | 0.989051i | \(-0.547147\pi\) |
0.267465 | + | 0.963568i | \(0.413814\pi\) | |||||||
\(114\) | 14.7312 | + | 2.15835i | 1.37970 | + | 0.202148i | ||||
\(115\) | 0.299467 | + | 2.84924i | 0.0279254 | + | 0.265693i | ||||
\(116\) | 4.84139 | + | 5.13233i | 0.449512 | + | 0.476525i | ||||
\(117\) | 0.553448 | + | 0.726697i | 0.0511662 | + | 0.0671831i | ||||
\(118\) | 1.23592 | − | 4.83622i | 0.113776 | − | 0.445210i | ||||
\(119\) | 30.0275 | − | 13.3691i | 2.75262 | − | 1.22554i | ||||
\(120\) | 1.21296 | − | 3.52143i | 0.110727 | − | 0.321461i | ||||
\(121\) | −4.48406 | − | 10.0446i | −0.407642 | − | 0.913142i | ||||
\(122\) | −0.933531 | − | 14.5759i | −0.0845179 | − | 1.31964i | ||||
\(123\) | 12.6153 | + | 1.32592i | 1.13748 | + | 0.119554i | ||||
\(124\) | 10.1048 | − | 3.54444i | 0.907442 | − | 0.318300i | ||||
\(125\) | 7.07953 | − | 2.30028i | 0.633212 | − | 0.205743i | ||||
\(126\) | 0.580427 | − | 1.56612i | 0.0517086 | − | 0.139521i | ||||
\(127\) | −0.0212329 | − | 0.202018i | −0.00188412 | − | 0.0179262i | 0.993539 | − | 0.113487i | \(-0.0362021\pi\) |
−0.995424 | + | 0.0955611i | \(0.969535\pi\) | |||||||
\(128\) | 10.9941 | − | 2.67031i | 0.971747 | − | 0.236024i | ||||
\(129\) | −0.792582 | − | 0.257525i | −0.0697829 | − | 0.0226739i | ||||
\(130\) | −3.87526 | + | 1.18162i | −0.339883 | + | 0.103635i | ||||
\(131\) | −17.7611 | −1.55179 | −0.775897 | − | 0.630859i | \(-0.782703\pi\) | ||||
−0.775897 | + | 0.630859i | \(0.782703\pi\) | |||||||
\(132\) | 9.91060 | + | 4.75740i | 0.862607 | + | 0.414078i | ||||
\(133\) | −14.8063 | + | 25.6454i | −1.28387 | + | 2.22373i | ||||
\(134\) | 0.119410 | − | 2.92789i | 0.0103154 | − | 0.252931i | ||||
\(135\) | 1.32383 | − | 4.07434i | 0.113937 | − | 0.350663i | ||||
\(136\) | 17.0933 | + | 10.2732i | 1.46574 | + | 0.880923i | ||||
\(137\) | −2.64054 | + | 5.93074i | −0.225596 | + | 0.506697i | −0.990511 | − | 0.137434i | \(-0.956114\pi\) |
0.764915 | + | 0.644132i | \(0.222781\pi\) | |||||||
\(138\) | 6.50560 | − | 5.39426i | 0.553793 | − | 0.459190i | ||||
\(139\) | 4.56133 | − | 5.06587i | 0.386887 | − | 0.429681i | −0.517969 | − | 0.855399i | \(-0.673312\pi\) |
0.904856 | + | 0.425718i | \(0.139978\pi\) | |||||||
\(140\) | 5.61862 | + | 4.82781i | 0.474860 | + | 0.408024i | ||||
\(141\) | −2.67629 | − | 6.01104i | −0.225384 | − | 0.506220i | ||||
\(142\) | 5.64553 | − | 0.361574i | 0.473762 | − | 0.0303427i | ||||
\(143\) | −2.14249 | − | 11.7648i | −0.179164 | − | 0.983819i | ||||
\(144\) | 0.980399 | − | 0.256440i | 0.0816999 | − | 0.0213700i | ||||
\(145\) | −2.56062 | + | 1.14006i | −0.212648 | + | 0.0946770i | ||||
\(146\) | 4.50296 | + | 4.39970i | 0.372668 | + | 0.364122i | ||||
\(147\) | −18.1436 | − | 16.3366i | −1.49646 | − | 1.34742i | ||||
\(148\) | 4.37903 | + | 4.64218i | 0.359954 | + | 0.381585i | ||||
\(149\) | −7.92139 | − | 3.52683i | −0.648945 | − | 0.288929i | 0.0557439 | − | 0.998445i | \(-0.482247\pi\) |
−0.704689 | + | 0.709516i | \(0.748914\pi\) | |||||||
\(150\) | −8.03161 | − | 6.35105i | −0.655778 | − | 0.518561i | ||||
\(151\) | −7.80537 | − | 2.53612i | −0.635192 | − | 0.206386i | −0.0263182 | − | 0.999654i | \(-0.508378\pi\) |
−0.608874 | + | 0.793267i | \(0.708378\pi\) | |||||||
\(152\) | −17.8989 | + | 1.56397i | −1.45179 | + | 0.126855i | ||||
\(153\) | 1.54699 | + | 0.893156i | 0.125067 | + | 0.0722074i | ||||
\(154\) | −16.0710 | + | 14.8262i | −1.29504 | + | 1.19473i | ||||
\(155\) | 4.25417i | 0.341703i | ||||||||
\(156\) | 9.23781 | + | 7.58214i | 0.739617 | + | 0.607057i | ||||
\(157\) | 3.09563 | − | 9.52738i | 0.247058 | − | 0.760368i | −0.748233 | − | 0.663436i | \(-0.769097\pi\) |
0.995291 | − | 0.0969313i | \(-0.0309027\pi\) | |||||||
\(158\) | −0.0276095 | − | 0.00404523i | −0.00219650 | − | 0.000321821i | ||||
\(159\) | 7.79261 | − | 0.819036i | 0.617994 | − | 0.0649538i | ||||
\(160\) | −0.444621 | + | 4.47258i | −0.0351504 | + | 0.353589i | ||||
\(161\) | 5.19425 | + | 15.9863i | 0.409364 | + | 1.25989i | ||||
\(162\) | −11.1329 | + | 3.12188i | −0.874680 | + | 0.245278i | ||||
\(163\) | 2.11058 | − | 20.0808i | 0.165313 | − | 1.57285i | −0.526119 | − | 0.850411i | \(-0.676353\pi\) |
0.691432 | − | 0.722441i | \(-0.256980\pi\) | |||||||
\(164\) | −15.1827 | + | 1.95280i | −1.18557 | + | 0.152488i | ||||
\(165\) | −3.08664 | + | 3.08971i | −0.240295 | + | 0.240533i | ||||
\(166\) | 16.3768 | + | 8.10654i | 1.27109 | + | 0.629189i | ||||
\(167\) | 0.996969 | + | 2.23923i | 0.0771478 | + | 0.173277i | 0.948002 | − | 0.318265i | \(-0.103100\pi\) |
−0.870854 | + | 0.491542i | \(0.836434\pi\) | |||||||
\(168\) | 2.66547 | − | 21.6889i | 0.205646 | − | 1.67333i | ||||
\(169\) | 0.774304 | − | 12.9769i | 0.0595619 | − | 0.998225i | ||||
\(170\) | −6.09891 | + | 5.05705i | −0.467765 | + | 0.387858i | ||||
\(171\) | −1.60052 | + | 0.168221i | −0.122395 | + | 0.0128642i | ||||
\(172\) | 1.00235 | + | 0.0818952i | 0.0764288 | + | 0.00624445i | ||||
\(173\) | −0.954366 | − | 4.48994i | −0.0725591 | − | 0.341364i | 0.926861 | − | 0.375404i | \(-0.122496\pi\) |
−0.999420 | + | 0.0340400i | \(0.989163\pi\) | |||||||
\(174\) | 6.98611 | + | 4.42248i | 0.529615 | + | 0.335267i | ||||
\(175\) | 17.6371 | − | 10.1828i | 1.33324 | − | 0.769747i | ||||
\(176\) | −12.9613 | − | 2.82918i | −0.976996 | − | 0.213258i | ||||
\(177\) | − | 5.84966i | − | 0.439687i | ||||||
\(178\) | −18.7671 | − | 0.765388i | −1.40665 | − | 0.0573682i | ||||
\(179\) | −7.05957 | + | 6.35646i | −0.527657 | + | 0.475104i | −0.889372 | − | 0.457184i | \(-0.848858\pi\) |
0.361715 | + | 0.932289i | \(0.382191\pi\) | |||||||
\(180\) | −0.0327835 | + | 0.401252i | −0.00244354 | + | 0.0299076i | ||||
\(181\) | −15.4622 | + | 11.2340i | −1.14930 | + | 0.835013i | −0.988387 | − | 0.151956i | \(-0.951443\pi\) |
−0.160910 | + | 0.986969i | \(0.551443\pi\) | |||||||
\(182\) | −20.7984 | + | 11.5085i | −1.54168 | + | 0.853065i | ||||
\(183\) | −5.28925 | − | 16.2786i | −0.390992 | − | 1.20335i | ||||
\(184\) | −6.13856 | + | 8.14429i | −0.452541 | + | 0.600405i | ||||
\(185\) | −2.31608 | + | 1.03118i | −0.170281 | + | 0.0758142i | ||||
\(186\) | 10.4446 | − | 6.95636i | 0.765835 | − | 0.510065i | ||||
\(187\) | −12.7462 | − | 19.6061i | −0.932093 | − | 1.43374i | ||||
\(188\) | 4.81505 | + | 6.31400i | 0.351174 | + | 0.460496i | ||||
\(189\) | 2.62731 | − | 24.9972i | 0.191109 | − | 1.81828i | ||||
\(190\) | 1.76731 | − | 6.91558i | 0.128214 | − | 0.501709i | ||||
\(191\) | 18.5011 | + | 16.6585i | 1.33870 | + | 1.20537i | 0.960051 | + | 0.279825i | \(0.0902764\pi\) |
0.378645 | + | 0.925542i | \(0.376390\pi\) | |||||||
\(192\) | 11.7079 | − | 6.22189i | 0.844942 | − | 0.449026i | ||||
\(193\) | −1.53899 | − | 14.6425i | −0.110779 | − | 1.05399i | −0.898805 | − | 0.438348i | \(-0.855564\pi\) |
0.788027 | − | 0.615641i | \(-0.211103\pi\) | |||||||
\(194\) | −22.6671 | + | 9.00411i | −1.62740 | + | 0.646458i | ||||
\(195\) | −4.05711 | + | 2.46605i | −0.290536 | + | 0.176598i | ||||
\(196\) | 25.8506 | + | 14.1357i | 1.84647 | + | 1.00969i | ||||
\(197\) | −1.57458 | + | 2.72726i | −0.112184 | + | 0.194309i | −0.916651 | − | 0.399689i | \(-0.869118\pi\) |
0.804466 | + | 0.593998i | \(0.202451\pi\) | |||||||
\(198\) | −1.16523 | − | 0.232985i | −0.0828095 | − | 0.0165575i | ||||
\(199\) | −7.98430 | + | 4.60974i | −0.565992 | + | 0.326776i | −0.755547 | − | 0.655095i | \(-0.772629\pi\) |
0.189555 | + | 0.981870i | \(0.439295\pi\) | |||||||
\(200\) | 11.1983 | + | 5.22333i | 0.791836 | + | 0.369345i | ||||
\(201\) | −0.713972 | − | 3.35898i | −0.0503597 | − | 0.236924i | ||||
\(202\) | 5.17011 | + | 4.08830i | 0.363768 | + | 0.287652i | ||||
\(203\) | −13.3045 | + | 9.66631i | −0.933795 | + | 0.678442i | ||||
\(204\) | 22.3886 | + | 6.70450i | 1.56752 | + | 0.469409i | ||||
\(205\) | 1.26438 | − | 5.94846i | 0.0883084 | − | 0.415458i | ||||
\(206\) | 9.59123 | − | 9.81634i | 0.668252 | − | 0.683937i | ||||
\(207\) | −0.536942 | + | 0.739038i | −0.0373201 | + | 0.0513667i | ||||
\(208\) | −12.9572 | − | 6.33337i | −0.898418 | − | 0.439140i | ||||
\(209\) | 19.6727 | + | 7.54045i | 1.36079 | + | 0.521584i | ||||
\(210\) | 7.78022 | + | 3.85121i | 0.536886 | + | 0.265759i | ||||
\(211\) | −7.92774 | + | 3.52966i | −0.545768 | + | 0.242992i | −0.661051 | − | 0.750341i | \(-0.729889\pi\) |
0.115283 | + | 0.993333i | \(0.463223\pi\) | |||||||
\(212\) | −8.92277 | + | 3.12980i | −0.612818 | + | 0.214956i | ||||
\(213\) | 6.30502 | − | 2.04863i | 0.432013 | − | 0.140370i | ||||
\(214\) | 6.62199 | + | 2.45420i | 0.452670 | + | 0.167766i | ||||
\(215\) | −0.162505 | + | 0.364993i | −0.0110828 | + | 0.0248923i | ||||
\(216\) | 13.3390 | − | 7.39201i | 0.907603 | − | 0.502962i | ||||
\(217\) | 5.18944 | + | 24.4144i | 0.352282 | + | 1.65736i | ||||
\(218\) | 6.43178 | − | 3.37169i | 0.435615 | − | 0.228360i | ||||
\(219\) | 6.38928 | + | 3.68885i | 0.431747 | + | 0.249269i | ||||
\(220\) | 2.76495 | − | 4.48691i | 0.186413 | − | 0.302507i | ||||
\(221\) | −8.39938 | − | 23.9947i | −0.565004 | − | 1.61406i | ||||
\(222\) | 6.31892 | + | 4.00013i | 0.424098 | + | 0.268471i | ||||
\(223\) | 7.49545 | + | 8.32454i | 0.501932 | + | 0.557452i | 0.939861 | − | 0.341557i | \(-0.110954\pi\) |
−0.437929 | + | 0.899010i | \(0.644288\pi\) | |||||||
\(224\) | 2.90422 | + | 26.2102i | 0.194046 | + | 1.75124i | ||||
\(225\) | 1.01110 | + | 0.450172i | 0.0674069 | + | 0.0300115i | ||||
\(226\) | −1.41841 | + | 1.17611i | −0.0943512 | + | 0.0782334i | ||||
\(227\) | −15.8110 | − | 14.2363i | −1.04942 | − | 0.944898i | −0.0508644 | − | 0.998706i | \(-0.516198\pi\) |
−0.998551 | + | 0.0538074i | \(0.982864\pi\) | |||||||
\(228\) | −19.8686 | + | 6.96924i | −1.31583 | + | 0.461549i | ||||
\(229\) | 16.1248 | − | 22.1938i | 1.06556 | − | 1.46661i | 0.191059 | − | 0.981579i | \(-0.438808\pi\) |
0.874496 | − | 0.485032i | \(-0.161192\pi\) | |||||||
\(230\) | −2.24594 | − | 3.37215i | −0.148093 | − | 0.222353i | ||||
\(231\) | −13.9451 | + | 21.4968i | −0.917518 | + | 1.41439i | ||||
\(232\) | −9.43399 | − | 3.24954i | −0.619372 | − | 0.213343i | ||||
\(233\) | −5.26820 | + | 7.25105i | −0.345131 | + | 0.475032i | −0.945931 | − | 0.324367i | \(-0.894849\pi\) |
0.600800 | + | 0.799399i | \(0.294849\pi\) | |||||||
\(234\) | −1.17037 | − | 0.546818i | −0.0765097 | − | 0.0357466i | ||||
\(235\) | −3.00014 | + | 0.974806i | −0.195708 | + | 0.0635893i | ||||
\(236\) | 1.62747 | + | 6.86908i | 0.105939 | + | 0.447139i | ||||
\(237\) | −0.0325216 | + | 0.00341816i | −0.00211251 | + | 0.000222034i | ||||
\(238\) | −28.8324 | + | 36.4618i | −1.86893 | + | 2.36347i | ||||
\(239\) | 2.28954 | + | 0.743916i | 0.148098 | + | 0.0481199i | 0.382128 | − | 0.924109i | \(-0.375191\pi\) |
−0.234030 | + | 0.972229i | \(0.575191\pi\) | |||||||
\(240\) | 0.792931 | + | 5.20718i | 0.0511835 | + | 0.336122i | ||||
\(241\) | 12.5643 | + | 21.7620i | 0.809338 | + | 1.40182i | 0.913323 | + | 0.407236i | \(0.133507\pi\) |
−0.103984 | + | 0.994579i | \(0.533159\pi\) | |||||||
\(242\) | 12.2118 | + | 9.63695i | 0.785007 | + | 0.619487i | ||||
\(243\) | 2.27383 | − | 1.31280i | 0.145866 | − | 0.0842160i | ||||
\(244\) | 10.7400 | + | 17.6440i | 0.687558 | + | 1.12954i | ||||
\(245\) | −8.69841 | + | 7.83209i | −0.555721 | + | 0.500374i | ||||
\(246\) | −16.6718 | + | 6.62258i | −1.06296 | + | 0.422240i | ||||
\(247\) | 18.8284 | + | 13.0410i | 1.19802 | + | 0.829778i | ||||
\(248\) | −10.3294 | + | 11.0745i | −0.655919 | + | 0.703232i | ||||
\(249\) | 20.9464 | + | 4.45231i | 1.32743 | + | 0.282153i | ||||
\(250\) | −7.35701 | + | 7.52969i | −0.465298 | + | 0.476220i | ||||
\(251\) | −8.11648 | − | 0.853076i | −0.512308 | − | 0.0538457i | −0.155152 | − | 0.987891i | \(-0.549587\pi\) |
−0.357156 | + | 0.934045i | \(0.616253\pi\) | |||||||
\(252\) | 0.301324 | + | 2.34275i | 0.0189816 | + | 0.147579i | ||||
\(253\) | 10.6528 | − | 5.43451i | 0.669735 | − | 0.341665i | ||||
\(254\) | 0.159242 | + | 0.239094i | 0.00999176 | + | 0.0150021i | ||||
\(255\) | −5.45737 | + | 7.51142i | −0.341754 | + | 0.470384i | ||||
\(256\) | −12.0172 | + | 10.5635i | −0.751073 | + | 0.660219i | ||||
\(257\) | −3.34522 | − | 0.711049i | −0.208669 | − | 0.0443540i | 0.102391 | − | 0.994744i | \(-0.467351\pi\) |
−0.311060 | + | 0.950390i | \(0.600684\pi\) | |||||||
\(258\) | 1.16184 | − | 0.197857i | 0.0723328 | − | 0.0123180i | ||||
\(259\) | −12.0339 | + | 8.74316i | −0.747752 | + | 0.543273i | ||||
\(260\) | 4.07805 | − | 4.02457i | 0.252910 | − | 0.249593i | ||||
\(261\) | −0.849995 | − | 0.276180i | −0.0526134 | − | 0.0170951i | ||||
\(262\) | 22.2465 | − | 11.6621i | 1.37440 | − | 0.720490i | ||||
\(263\) | 9.16533 | − | 15.8748i | 0.565159 | − | 0.978884i | −0.431876 | − | 0.901933i | \(-0.642148\pi\) |
0.997035 | − | 0.0769507i | \(-0.0245184\pi\) | |||||||
\(264\) | −15.5372 | + | 0.548572i | −0.956249 | + | 0.0337623i | ||||
\(265\) | − | 3.75652i | − | 0.230761i | ||||||
\(266\) | 1.70654 | − | 41.8439i | 0.104635 | − | 2.56561i | ||||
\(267\) | −21.5303 | + | 4.57640i | −1.31763 | + | 0.280071i | ||||
\(268\) | 1.77292 | + | 3.74571i | 0.108298 | + | 0.228806i | ||||
\(269\) | 14.3263 | + | 6.37849i | 0.873492 | + | 0.388904i | 0.793990 | − | 0.607931i | \(-0.208000\pi\) |
0.0795021 | + | 0.996835i | \(0.474667\pi\) | |||||||
\(270\) | 1.01710 | + | 5.97252i | 0.0618988 | + | 0.363476i | ||||
\(271\) | 4.61433 | − | 21.7087i | 0.280301 | − | 1.31871i | −0.582361 | − | 0.812930i | \(-0.697871\pi\) |
0.862662 | − | 0.505781i | \(-0.168796\pi\) | |||||||
\(272\) | −28.1556 | − | 1.64401i | −1.70718 | − | 0.0996828i | ||||
\(273\) | −20.2753 | + | 19.1016i | −1.22712 | + | 1.15608i | ||||
\(274\) | −0.586811 | − | 9.16230i | −0.0354505 | − | 0.553515i | ||||
\(275\) | −9.12401 | − | 11.2558i | −0.550199 | − | 0.678751i | ||||
\(276\) | −4.60660 | + | 11.0282i | −0.277285 | + | 0.663819i | ||||
\(277\) | 20.2954 | + | 2.13313i | 1.21943 | + | 0.128167i | 0.692295 | − | 0.721615i | \(-0.256600\pi\) |
0.527135 | + | 0.849782i | \(0.323266\pi\) | |||||||
\(278\) | −2.38695 | + | 9.34024i | −0.143160 | + | 0.560190i | ||||
\(279\) | −0.907655 | + | 1.00805i | −0.0543399 | + | 0.0603506i | ||||
\(280\) | −10.2076 | − | 2.35778i | −0.610018 | − | 0.140904i | ||||
\(281\) | −8.88677 | + | 6.45661i | −0.530140 | + | 0.385169i | −0.820410 | − | 0.571775i | \(-0.806255\pi\) |
0.290270 | + | 0.956945i | \(0.406255\pi\) | |||||||
\(282\) | 7.29907 | + | 5.77179i | 0.434654 | + | 0.343705i | ||||
\(283\) | 7.45025 | + | 8.27434i | 0.442871 | + | 0.491858i | 0.922708 | − | 0.385499i | \(-0.125971\pi\) |
−0.479837 | + | 0.877358i | \(0.659304\pi\) | |||||||
\(284\) | −6.83385 | + | 4.15981i | −0.405514 | + | 0.246839i | ||||
\(285\) | − | 8.36476i | − | 0.495486i | ||||||
\(286\) | 10.4084 | + | 13.3291i | 0.615464 | + | 0.788165i | ||||
\(287\) | − | 35.6801i | − | 2.10613i | ||||||
\(288\) | −1.05961 | + | 0.964944i | −0.0624381 | + | 0.0568598i | ||||
\(289\) | −21.8906 | − | 24.3120i | −1.28769 | − | 1.43012i | ||||
\(290\) | 2.45871 | − | 3.10931i | 0.144380 | − | 0.182585i | ||||
\(291\) | −23.1237 | + | 16.8003i | −1.35553 | + | 0.984853i | ||||
\(292\) | −8.52904 | − | 2.55411i | −0.499125 | − | 0.149468i | ||||
\(293\) | 5.80843 | − | 6.45091i | 0.339332 | − | 0.376866i | −0.549192 | − | 0.835696i | \(-0.685065\pi\) |
0.888524 | + | 0.458830i | \(0.151731\pi\) | |||||||
\(294\) | 33.4524 | + | 8.54894i | 1.95098 | + | 0.498584i | ||||
\(295\) | −2.78908 | − | 0.293144i | −0.162387 | − | 0.0170675i | ||||
\(296\) | −8.53303 | − | 2.93920i | −0.495972 | − | 0.170838i | ||||
\(297\) | −17.8575 | + | 0.944746i | −1.03620 | + | 0.0548197i | ||||
\(298\) | 12.2376 | − | 0.783773i | 0.708907 | − | 0.0454028i | ||||
\(299\) | 12.6524 | − | 2.98919i | 0.731707 | − | 0.172869i | ||||
\(300\) | 14.2301 | + | 2.68131i | 0.821576 | + | 0.154806i | ||||
\(301\) | −0.487371 | + | 2.29290i | −0.0280916 | + | 0.132161i | ||||
\(302\) | 11.4418 | − | 1.94850i | 0.658401 | − | 0.112124i | ||||
\(303\) | 7.05640 | + | 3.14171i | 0.405380 | + | 0.180487i | ||||
\(304\) | 21.3922 | − | 13.7116i | 1.22693 | − | 0.786412i | ||||
\(305\) | −8.02661 | + | 1.70611i | −0.459603 | + | 0.0976915i | ||||
\(306\) | −2.52413 | − | 0.102943i | −0.144295 | − | 0.00588485i | ||||
\(307\) | 26.8381i | 1.53173i | 0.643002 | + | 0.765864i | \(0.277689\pi\) | ||||
−0.643002 | + | 0.765864i | \(0.722311\pi\) | |||||||
\(308\) | 10.3945 | − | 29.1229i | 0.592283 | − | 1.65943i | ||||
\(309\) | 8.04160 | − | 13.9285i | 0.457471 | − | 0.792362i | ||||
\(310\) | −2.79334 | − | 5.32853i | −0.158651 | − | 0.302640i | ||||
\(311\) | 7.70658 | + | 2.50402i | 0.437000 | + | 0.141990i | 0.519251 | − | 0.854622i | \(-0.326211\pi\) |
−0.0822509 | + | 0.996612i | \(0.526211\pi\) | |||||||
\(312\) | −16.5493 | − | 3.43129i | −0.936918 | − | 0.194259i | ||||
\(313\) | −9.61363 | + | 6.98471i | −0.543394 | + | 0.394799i | −0.825344 | − | 0.564630i | \(-0.809019\pi\) |
0.281950 | + | 0.959429i | \(0.409019\pi\) | |||||||
\(314\) | 2.37838 | + | 13.9661i | 0.134220 | + | 0.788151i | ||||
\(315\) | −0.917871 | − | 0.195099i | −0.0517162 | − | 0.0109926i | ||||
\(316\) | 0.0372382 | − | 0.0130619i | 0.00209481 | − | 0.000734790i | ||||
\(317\) | −6.73037 | + | 9.26356i | −0.378015 | + | 0.520293i | −0.955057 | − | 0.296421i | \(-0.904207\pi\) |
0.577042 | + | 0.816714i | \(0.304207\pi\) | |||||||
\(318\) | −9.22278 | + | 6.14259i | −0.517188 | + | 0.344460i | ||||
\(319\) | 8.27739 | + | 8.26919i | 0.463445 | + | 0.462986i | ||||
\(320\) | −2.37984 | − | 5.89404i | −0.133037 | − | 0.329487i | ||||
\(321\) | 8.23072 | + | 0.865084i | 0.459394 | + | 0.0482843i | ||||
\(322\) | −17.0028 | − | 16.6129i | −0.947528 | − | 0.925798i | ||||
\(323\) | 43.8108 | + | 9.31227i | 2.43770 | + | 0.518149i | ||||
\(324\) | 11.8945 | − | 11.2202i | 0.660806 | − | 0.623347i | ||||
\(325\) | −6.72973 | − | 14.2416i | −0.373298 | − | 0.789980i | ||||
\(326\) | 10.5417 | + | 26.5379i | 0.583852 | + | 1.46980i | ||||
\(327\) | 6.32433 | − | 5.69445i | 0.349736 | − | 0.314904i | ||||
\(328\) | 17.7347 | − | 12.4151i | 0.979236 | − | 0.685508i | ||||
\(329\) | −16.0285 | + | 9.25406i | −0.883680 | + | 0.510193i | ||||
\(330\) | 1.83742 | − | 5.89671i | 0.101146 | − | 0.324603i | ||||
\(331\) | 2.03299 | + | 3.52124i | 0.111743 | + | 0.193545i | 0.916473 | − | 0.400096i | \(-0.131023\pi\) |
−0.804730 | + | 0.593641i | \(0.797690\pi\) | |||||||
\(332\) | −25.8355 | + | 0.599437i | −1.41791 | + | 0.0328984i | ||||
\(333\) | −0.768819 | − | 0.249804i | −0.0421310 | − | 0.0136892i | ||||
\(334\) | −2.71905 | − | 2.15011i | −0.148780 | − | 0.117649i | ||||
\(335\) | −1.63732 | + | 0.172089i | −0.0894563 | + | 0.00940224i | ||||
\(336\) | 10.9025 | + | 28.9164i | 0.594783 | + | 1.57752i | ||||
\(337\) | 0.798223 | − | 0.259358i | 0.0434820 | − | 0.0141281i | −0.287195 | − | 0.957872i | \(-0.592723\pi\) |
0.330677 | + | 0.943744i | \(0.392723\pi\) | |||||||
\(338\) | 7.55095 | + | 16.7626i | 0.410717 | + | 0.911763i | ||||
\(339\) | −1.26921 | + | 1.74691i | −0.0689339 | + | 0.0948793i | ||||
\(340\) | 4.31863 | − | 10.3388i | 0.234210 | − | 0.560699i | ||||
\(341\) | 16.5753 | − | 6.37209i | 0.897604 | − | 0.345068i | ||||
\(342\) | 1.89426 | − | 1.26162i | 0.102430 | − | 0.0682208i | ||||
\(343\) | −21.1851 | + | 29.1587i | −1.14389 | + | 1.57442i | ||||
\(344\) | −1.30926 | + | 0.555580i | −0.0705908 | + | 0.0299549i | ||||
\(345\) | −3.52849 | − | 3.17707i | −0.189968 | − | 0.171048i | ||||
\(346\) | 4.14353 | + | 4.99719i | 0.222758 | + | 0.268651i | ||||
\(347\) | −20.9062 | − | 9.30802i | −1.12230 | − | 0.499681i | −0.240192 | − | 0.970725i | \(-0.577210\pi\) |
−0.882109 | + | 0.471044i | \(0.843877\pi\) | |||||||
\(348\) | −11.6542 | − | 0.952186i | −0.624733 | − | 0.0510425i | ||||
\(349\) | −8.86273 | − | 9.84306i | −0.474411 | − | 0.526887i | 0.457677 | − | 0.889118i | \(-0.348682\pi\) |
−0.932088 | + | 0.362232i | \(0.882015\pi\) | |||||||
\(350\) | −15.4051 | + | 24.3351i | −0.823437 | + | 1.30077i | ||||
\(351\) | −19.1019 | − | 3.61187i | −1.01958 | − | 0.192787i | ||||
\(352\) | 18.0923 | − | 4.96688i | 0.964321 | − | 0.264736i | ||||
\(353\) | 8.07909 | + | 4.66447i | 0.430007 | + | 0.248264i | 0.699350 | − | 0.714780i | \(-0.253473\pi\) |
−0.269343 | + | 0.963044i | \(0.586806\pi\) | |||||||
\(354\) | 3.84095 | + | 7.32694i | 0.204144 | + | 0.389423i | ||||
\(355\) | −0.660809 | − | 3.10886i | −0.0350721 | − | 0.165001i | ||||
\(356\) | 24.0091 | − | 11.3640i | 1.27248 | − | 0.602291i | ||||
\(357\) | −22.1567 | + | 49.7647i | −1.17266 | + | 2.63383i | ||||
\(358\) | 4.66868 | − | 12.5971i | 0.246747 | − | 0.665779i | ||||
\(359\) | 12.5527 | − | 4.07861i | 0.662505 | − | 0.215261i | 0.0415853 | − | 0.999135i | \(-0.486759\pi\) |
0.620920 | + | 0.783874i | \(0.286759\pi\) | |||||||
\(360\) | −0.222404 | − | 0.524111i | −0.0117217 | − | 0.0276231i | ||||
\(361\) | −19.5061 | + | 8.68466i | −1.02664 | + | 0.457087i | ||||
\(362\) | 11.9907 | − | 24.2237i | 0.630218 | − | 1.27317i | ||||
\(363\) | 16.6616 | + | 7.39844i | 0.874506 | + | 0.388317i | ||||
\(364\) | 18.4943 | − | 28.0713i | 0.969365 | − | 1.47134i | ||||
\(365\) | 2.07901 | − | 2.86151i | 0.108820 | − | 0.149778i | ||||
\(366\) | 17.3137 | + | 16.9167i | 0.905003 | + | 0.884249i | ||||
\(367\) | 3.03898 | − | 14.2973i | 0.158633 | − | 0.746312i | −0.824856 | − | 0.565344i | \(-0.808744\pi\) |
0.983489 | − | 0.180968i | \(-0.0579231\pi\) | |||||||
\(368\) | 2.34117 | − | 14.2317i | 0.122042 | − | 0.741879i | ||||
\(369\) | 1.56875 | − | 1.13976i | 0.0816656 | − | 0.0593335i | ||||
\(370\) | 2.22390 | − | 2.81237i | 0.115615 | − | 0.146208i | ||||
\(371\) | −4.58238 | − | 21.5584i | −0.237905 | − | 1.11926i | ||||
\(372\) | −8.51468 | + | 15.5712i | −0.441466 | + | 0.807328i | ||||
\(373\) | −9.67149 | + | 5.58383i | −0.500771 | + | 0.289120i | −0.729032 | − | 0.684480i | \(-0.760029\pi\) |
0.228261 | + | 0.973600i | \(0.426696\pi\) | |||||||
\(374\) | 28.8387 | + | 16.1882i | 1.49122 | + | 0.837072i | ||||
\(375\) | −6.16836 | + | 10.6839i | −0.318533 | + | 0.551715i | ||||
\(376\) | −10.1769 | − | 4.74693i | −0.524834 | − | 0.244804i | ||||
\(377\) | 6.60661 | + | 10.8691i | 0.340258 | + | 0.559787i | ||||
\(378\) | 13.1226 | + | 33.0352i | 0.674956 | + | 1.69915i | ||||
\(379\) | −2.88311 | − | 27.4309i | −0.148095 | − | 1.40903i | −0.775995 | − | 0.630739i | \(-0.782752\pi\) |
0.627900 | − | 0.778294i | \(-0.283915\pi\) | |||||||
\(380\) | 2.32722 | + | 9.82249i | 0.119384 | + | 0.503883i | ||||
\(381\) | 0.250179 | + | 0.225262i | 0.0128171 | + | 0.0115405i | ||||
\(382\) | −34.1116 | − | 8.71741i | −1.74530 | − | 0.446022i | ||||
\(383\) | −3.84101 | + | 36.5448i | −0.196266 | + | 1.86735i | 0.244394 | + | 0.969676i | \(0.421411\pi\) |
−0.440660 | + | 0.897674i | \(0.645256\pi\) | |||||||
\(384\) | −10.5792 | + | 15.4807i | −0.539869 | + | 0.789996i | ||||
\(385\) | 9.55074 | + | 7.72620i | 0.486751 | + | 0.393764i | ||||
\(386\) | 11.5421 | + | 17.3298i | 0.587476 | + | 0.882064i | ||||
\(387\) | −0.116380 | + | 0.0518158i | −0.00591594 | + | 0.00263395i | ||||
\(388\) | 22.4793 | − | 26.1615i | 1.14121 | − | 1.32815i | ||||
\(389\) | 4.56314 | + | 14.0439i | 0.231360 | + | 0.712054i | 0.997583 | + | 0.0694794i | \(0.0221338\pi\) |
−0.766223 | + | 0.642575i | \(0.777866\pi\) | |||||||
\(390\) | 3.46247 | − | 5.75278i | 0.175329 | − | 0.291303i | ||||
\(391\) | 20.5682 | − | 14.9437i | 1.04018 | − | 0.755735i | ||||
\(392\) | −41.6606 | − | 0.731762i | −2.10418 | − | 0.0369596i | ||||
\(393\) | 21.8749 | − | 19.6962i | 1.10344 | − | 0.993543i | ||||
\(394\) | 0.181482 | − | 4.44989i | 0.00914294 | − | 0.224182i | ||||
\(395\) | 0.0156774i | 0.000788817i | ||||||||
\(396\) | 1.61248 | − | 0.473281i | 0.0810303 | − | 0.0237833i | ||||
\(397\) | 28.4948 | − | 16.4515i | 1.43011 | − | 0.825675i | 0.432983 | − | 0.901402i | \(-0.357461\pi\) |
0.997129 | + | 0.0757268i | \(0.0241277\pi\) | |||||||
\(398\) | 6.97386 | − | 11.0165i | 0.349568 | − | 0.552206i | ||||
\(399\) | −10.2037 | − | 48.0048i | −0.510825 | − | 2.40324i | ||||
\(400\) | −17.4560 | + | 0.810466i | −0.872799 | + | 0.0405233i | ||||
\(401\) | −29.5875 | + | 3.10978i | −1.47753 | + | 0.155295i | −0.808745 | − | 0.588160i | \(-0.799853\pi\) |
−0.668786 | + | 0.743455i | \(0.733186\pi\) | |||||||
\(402\) | 3.09982 | + | 3.73846i | 0.154605 | + | 0.186457i | ||||
\(403\) | 19.1488 | − | 2.45052i | 0.953868 | − | 0.122069i | ||||
\(404\) | −9.16020 | − | 1.72601i | −0.455737 | − | 0.0858724i | ||||
\(405\) | 2.64217 | + | 5.93441i | 0.131291 | + | 0.294883i | ||||
\(406\) | 10.3175 | − | 20.8434i | 0.512048 | − | 1.03444i | ||||
\(407\) | 7.48688 | + | 7.47946i | 0.371111 | + | 0.370743i | ||||
\(408\) | −32.4449 | + | 6.30296i | −1.60626 | + | 0.312043i | ||||
\(409\) | 1.05914 | − | 10.0771i | 0.0523712 | − | 0.498278i | −0.936625 | − | 0.350335i | \(-0.886068\pi\) |
0.988996 | − | 0.147944i | \(-0.0472655\pi\) | |||||||
\(410\) | 2.32213 | + | 8.28090i | 0.114682 | + | 0.408964i | ||||
\(411\) | −3.32478 | − | 10.2326i | −0.163999 | − | 0.504738i | ||||
\(412\) | −5.56789 | + | 18.5931i | −0.274310 | + | 0.916016i | ||||
\(413\) | −16.3639 | + | 1.71992i | −0.805217 | + | 0.0846317i | ||||
\(414\) | 0.187282 | − | 1.27824i | 0.00920441 | − | 0.0628220i | ||||
\(415\) | 3.17252 | − | 9.76403i | 0.155733 | − | 0.479297i | ||||
\(416\) | 20.3880 | − | 0.575016i | 0.999603 | − | 0.0281925i | ||||
\(417\) | 11.2975i | 0.553241i | ||||||||
\(418\) | −29.5920 | + | 3.47257i | −1.44739 | + | 0.169849i | ||||
\(419\) | 32.5476 | + | 18.7914i | 1.59006 | + | 0.918019i | 0.993296 | + | 0.115599i | \(0.0368786\pi\) |
0.596759 | + | 0.802420i | \(0.296455\pi\) | |||||||
\(420\) | −12.2738 | + | 0.284777i | −0.598900 | + | 0.0138957i | ||||
\(421\) | 8.20199 | + | 2.66499i | 0.399740 | + | 0.129884i | 0.501986 | − | 0.864876i | \(-0.332603\pi\) |
−0.102246 | + | 0.994759i | \(0.532603\pi\) | |||||||
\(422\) | 7.61221 | − | 9.62649i | 0.370557 | − | 0.468610i | ||||
\(423\) | −0.918884 | − | 0.409114i | −0.0446777 | − | 0.0198918i | ||||
\(424\) | 9.12107 | − | 9.77900i | 0.442958 | − | 0.474910i | ||||
\(425\) | −22.8912 | − | 20.6114i | −1.11039 | − | 0.999798i | ||||
\(426\) | −6.55215 | + | 6.70594i | −0.317453 | + | 0.324904i | ||||
\(427\) | −43.9830 | + | 19.5825i | −2.12849 | + | 0.947663i | ||||
\(428\) | −9.90578 | + | 1.27408i | −0.478814 | + | 0.0615850i | ||||
\(429\) | 15.6853 | + | 12.1138i | 0.757293 | + | 0.584858i | ||||
\(430\) | −0.0361138 | − | 0.563872i | −0.00174156 | − | 0.0271923i | ||||
\(431\) | −8.88548 | − | 19.9571i | −0.427999 | − | 0.961301i | −0.990878 | − | 0.134762i | \(-0.956973\pi\) |
0.562879 | − | 0.826539i | \(-0.309694\pi\) | |||||||
\(432\) | −11.8540 | + | 18.0173i | −0.570324 | + | 0.866859i | ||||
\(433\) | 11.6492 | − | 12.9378i | 0.559825 | − | 0.621749i | −0.395085 | − | 0.918645i | \(-0.629285\pi\) |
0.954910 | + | 0.296896i | \(0.0959514\pi\) | |||||||
\(434\) | −22.5308 | − | 27.1726i | −1.08151 | − | 1.30433i | ||||
\(435\) | 1.88943 | − | 4.24373i | 0.0905912 | − | 0.203471i | ||||
\(436\) | −5.84219 | + | 8.44636i | −0.279790 | + | 0.404507i | ||||
\(437\) | −7.07800 | + | 21.7838i | −0.338587 | + | 1.04206i | ||||
\(438\) | −10.4250 | − | 0.425167i | −0.498125 | − | 0.0203153i | ||||
\(439\) | −4.35796 | + | 7.54821i | −0.207994 | + | 0.360256i | −0.951083 | − | 0.308937i | \(-0.900027\pi\) |
0.743088 | + | 0.669193i | \(0.233360\pi\) | |||||||
\(440\) | −0.517061 | + | 7.43554i | −0.0246499 | + | 0.354475i | ||||
\(441\) | −3.73217 | −0.177722 | ||||||||
\(442\) | 26.2758 | + | 24.5393i | 1.24981 | + | 1.16721i | ||||
\(443\) | 10.9813 | + | 3.56805i | 0.521739 | + | 0.169523i | 0.558034 | − | 0.829818i | \(-0.311556\pi\) |
−0.0362952 | + | 0.999341i | \(0.511556\pi\) | |||||||
\(444\) | −10.5412 | − | 0.861250i | −0.500265 | − | 0.0408731i | ||||
\(445\) | 1.10305 | + | 10.4948i | 0.0522897 | + | 0.497503i | ||||
\(446\) | −14.8544 | − | 5.50524i | −0.703374 | − | 0.260681i | ||||
\(447\) | 13.6672 | − | 4.44074i | 0.646436 | − | 0.210040i | ||||
\(448\) | −20.8476 | − | 30.9224i | −0.984955 | − | 1.46095i | ||||
\(449\) | 3.90218 | + | 0.410135i | 0.184155 | + | 0.0193555i | 0.196157 | − | 0.980572i | \(-0.437154\pi\) |
−0.0120019 | + | 0.999928i | \(0.503820\pi\) | |||||||
\(450\) | −1.56204 | + | 0.100043i | −0.0736352 | + | 0.00471605i | ||||
\(451\) | −25.0705 | + | 3.98352i | −1.18052 | + | 0.187576i | ||||
\(452\) | 1.00437 | − | 2.40447i | 0.0472417 | − | 0.113097i | ||||
\(453\) | 12.4257 | − | 5.53226i | 0.583808 | − | 0.259928i | ||||
\(454\) | 29.1517 | + | 7.44988i | 1.36816 | + | 0.349640i | ||||
\(455\) | 8.09146 | + | 10.6244i | 0.379333 | + | 0.498079i | ||||
\(456\) | 20.3102 | − | 21.7752i | 0.951112 | − | 1.01972i | ||||
\(457\) | −2.51868 | − | 23.9637i | −0.117819 | − | 1.12097i | −0.880450 | − | 0.474139i | \(-0.842759\pi\) |
0.762631 | − | 0.646834i | \(-0.223907\pi\) | |||||||
\(458\) | −5.62422 | + | 38.3864i | −0.262803 | + | 1.79368i | ||||
\(459\) | −37.1861 | + | 7.90415i | −1.73570 | + | 0.368934i | ||||
\(460\) | 5.02732 | + | 2.74906i | 0.234400 | + | 0.128175i | ||||
\(461\) | −2.55875 | − | 4.43188i | −0.119173 | − | 0.206413i | 0.800267 | − | 0.599643i | \(-0.204691\pi\) |
−0.919440 | + | 0.393230i | \(0.871358\pi\) | |||||||
\(462\) | 3.35172 | − | 36.0822i | 0.155936 | − | 1.67870i | ||||
\(463\) | −25.5847 | −1.18902 | −0.594511 | − | 0.804088i | \(-0.702654\pi\) | ||||
−0.594511 | + | 0.804088i | \(0.702654\pi\) | |||||||
\(464\) | 13.9502 | − | 2.12428i | 0.647620 | − | 0.0986172i | ||||
\(465\) | −4.71768 | − | 5.23951i | −0.218777 | − | 0.242976i | ||||
\(466\) | 1.83751 | − | 12.5414i | 0.0851212 | − | 0.580970i | ||||
\(467\) | 16.8046 | + | 23.1296i | 0.777626 | + | 1.07031i | 0.995540 | + | 0.0943419i | \(0.0300747\pi\) |
−0.217914 | + | 0.975968i | \(0.569925\pi\) | |||||||
\(468\) | 1.82499 | − | 0.0835684i | 0.0843602 | − | 0.00386295i | ||||
\(469\) | −9.18654 | + | 2.98489i | −0.424195 | + | 0.137829i | ||||
\(470\) | 3.11774 | − | 3.19091i | 0.143810 | − | 0.147186i | ||||
\(471\) | 6.75278 | + | 15.1670i | 0.311152 | + | 0.698858i | ||||
\(472\) | −6.54880 | − | 7.53520i | −0.301433 | − | 0.346836i | ||||
\(473\) | 1.66551 | + | 0.0864583i | 0.0765803 | + | 0.00397536i | ||||
\(474\) | 0.0384903 | − | 0.0256355i | 0.00176792 | − | 0.00117748i | ||||
\(475\) | 27.5994 | + | 2.90081i | 1.26635 | + | 0.133098i | ||||
\(476\) | 12.1726 | − | 64.6016i | 0.557929 | − | 2.96101i | ||||
\(477\) | 0.801477 | − | 0.890130i | 0.0366971 | − | 0.0407563i | ||||
\(478\) | −3.35620 | + | 0.571551i | −0.153509 | + | 0.0261421i | ||||
\(479\) | 28.5240 | − | 2.99799i | 1.30330 | − | 0.136982i | 0.572684 | − | 0.819776i | \(-0.305902\pi\) |
0.730611 | + | 0.682794i | \(0.239235\pi\) | |||||||
\(480\) | −4.41228 | − | 6.00157i | −0.201392 | − | 0.273933i | ||||
\(481\) | 5.97566 | + | 9.83107i | 0.272467 | + | 0.448258i | ||||
\(482\) | −30.0265 | − | 19.0080i | −1.36767 | − | 0.865790i | ||||
\(483\) | −24.1253 | − | 13.9288i | −1.09774 | − | 0.633781i | ||||
\(484\) | −21.6236 | − | 4.05224i | −0.982890 | − | 0.184193i | ||||
\(485\) | 6.85150 | + | 11.8671i | 0.311111 | + | 0.538859i | ||||
\(486\) | −1.98607 | + | 3.13736i | −0.0900901 | + | 0.142314i | ||||
\(487\) | −25.2549 | + | 5.36810i | −1.14441 | + | 0.243252i | −0.740830 | − | 0.671693i | \(-0.765567\pi\) |
−0.403580 | + | 0.914945i | \(0.632234\pi\) | |||||||
\(488\) | −25.0375 | − | 15.0478i | −1.13340 | − | 0.681182i | ||||
\(489\) | 19.6693 | + | 27.0724i | 0.889475 | + | 1.22426i | ||||
\(490\) | 5.75249 | − | 15.5215i | 0.259871 | − | 0.701190i | ||||
\(491\) | −35.8374 | − | 7.61747i | −1.61732 | − | 0.343771i | −0.691686 | − | 0.722198i | \(-0.743132\pi\) |
−0.925631 | + | 0.378427i | \(0.876465\pi\) | |||||||
\(492\) | 16.5337 | − | 19.2420i | 0.745396 | − | 0.867495i | ||||
\(493\) | 20.1233 | + | 14.6204i | 0.906306 | + | 0.658470i | ||||
\(494\) | −32.1462 | − | 3.97142i | −1.44633 | − | 0.178683i | ||||
\(495\) | −0.0346101 | + | 0.666721i | −0.00155561 | + | 0.0299669i | ||||
\(496\) | 5.66638 | − | 20.6537i | 0.254428 | − | 0.927379i | ||||
\(497\) | −7.58467 | − | 17.0355i | −0.340219 | − | 0.764145i | ||||
\(498\) | −29.1597 | + | 8.17698i | −1.30668 | + | 0.366419i | ||||
\(499\) | 6.69847 | + | 20.6158i | 0.299865 | + | 0.922888i | 0.981544 | + | 0.191237i | \(0.0612500\pi\) |
−0.681679 | + | 0.731651i | \(0.738750\pi\) | |||||||
\(500\) | 4.27089 | − | 14.2620i | 0.191000 | − | 0.637814i | ||||
\(501\) | −3.71108 | − | 1.65228i | −0.165799 | − | 0.0738184i | ||||
\(502\) | 10.7264 | − | 4.26086i | 0.478741 | − | 0.190172i | ||||
\(503\) | 28.0469 | − | 5.96156i | 1.25055 | − | 0.265813i | 0.465390 | − | 0.885105i | \(-0.345914\pi\) |
0.785160 | + | 0.619293i | \(0.212581\pi\) | |||||||
\(504\) | −1.91570 | − | 2.73654i | −0.0853319 | − | 0.121895i | ||||
\(505\) | 1.85157 | − | 3.20701i | 0.0823937 | − | 0.142710i | ||||
\(506\) | −9.77469 | + | 13.8017i | −0.434538 | + | 0.613560i | ||||
\(507\) | 13.4371 | + | 16.8413i | 0.596764 | + | 0.747946i | ||||
\(508\) | −0.356450 | − | 0.194915i | −0.0158149 | − | 0.00864795i | ||||
\(509\) | 9.76441 | − | 8.79192i | 0.432800 | − | 0.389695i | −0.423733 | − | 0.905787i | \(-0.639280\pi\) |
0.856533 | + | 0.516092i | \(0.172614\pi\) | |||||||
\(510\) | 1.90350 | − | 12.9917i | 0.0842882 | − | 0.575284i | ||||
\(511\) | 8.44068 | − | 18.9581i | 0.373394 | − | 0.838656i | ||||
\(512\) | 8.11589 | − | 21.1218i | 0.358675 | − | 0.933462i | ||||
\(513\) | 22.9180 | − | 25.4530i | 1.01185 | − | 1.12378i | ||||
\(514\) | 4.65692 | − | 1.30589i | 0.205408 | − | 0.0576005i | ||||
\(515\) | −6.23802 | − | 4.53219i | −0.274880 | − | 0.199712i | ||||
\(516\) | −1.32533 | + | 1.01070i | −0.0583445 | + | 0.0444936i | ||||
\(517\) | 8.29184 | + | 10.2292i | 0.364675 | + | 0.449880i | ||||
\(518\) | 9.33214 | − | 18.8528i | 0.410030 | − | 0.828344i | ||||
\(519\) | 6.15454 | + | 4.47154i | 0.270154 | + | 0.196279i | ||||
\(520\) | −2.46535 | + | 7.71864i | −0.108113 | + | 0.338485i | ||||
\(521\) | −5.83996 | − | 17.9736i | −0.255853 | − | 0.787436i | −0.993660 | − | 0.112424i | \(-0.964139\pi\) |
0.737807 | − | 0.675012i | \(-0.235861\pi\) | |||||||
\(522\) | 1.24600 | − | 0.212189i | 0.0545359 | − | 0.00928728i | ||||
\(523\) | −2.02883 | − | 19.3030i | −0.0887146 | − | 0.844063i | −0.944892 | − | 0.327382i | \(-0.893834\pi\) |
0.856178 | − | 0.516682i | \(-0.172833\pi\) | |||||||
\(524\) | −20.2072 | + | 29.2147i | −0.882756 | + | 1.27625i | ||||
\(525\) | −10.4299 | + | 32.1000i | −0.455200 | + | 1.40096i | ||||
\(526\) | −1.05637 | + | 25.9019i | −0.0460600 | + | 1.12938i | ||||
\(527\) | 32.6942 | − | 18.8760i | 1.42418 | − | 0.822253i | ||||
\(528\) | 19.1008 | − | 10.8890i | 0.831256 | − | 0.473884i | ||||
\(529\) | −4.99929 | − | 8.65902i | −0.217360 | − | 0.376479i | ||||
\(530\) | 2.46657 | + | 4.70519i | 0.107141 | + | 0.204381i | ||||
\(531\) | −0.598347 | − | 0.664531i | −0.0259660 | − | 0.0288382i | ||||
\(532\) | 25.3377 | + | 53.5318i | 1.09853 | + | 2.32090i | ||||
\(533\) | −27.5033 | − | 2.26473i | −1.19130 | − | 0.0980964i | ||||
\(534\) | 23.9626 | − | 19.8691i | 1.03696 | − | 0.859822i | ||||
\(535\) | 0.824934 | − | 3.88101i | 0.0356650 | − | 0.167791i | ||||
\(536\) | −4.68013 | − | 3.52754i | −0.202151 | − | 0.152366i | ||||
\(537\) | 1.64566 | − | 15.6575i | 0.0710157 | − | 0.675669i | ||||
\(538\) | −22.1325 | + | 1.41750i | −0.954201 | + | 0.0611129i | ||||
\(539\) | 43.5446 | + | 22.1599i | 1.87560 | + | 0.954496i | ||||
\(540\) | −5.19559 | − | 6.81300i | −0.223583 | − | 0.293185i | ||||
\(541\) | −13.6742 | − | 9.93487i | −0.587899 | − | 0.427133i | 0.253664 | − | 0.967292i | \(-0.418364\pi\) |
−0.841563 | + | 0.540159i | \(0.818364\pi\) | |||||||
\(542\) | 8.47456 | + | 30.2209i | 0.364013 | + | 1.29810i | ||||
\(543\) | 6.58559 | − | 30.9828i | 0.282615 | − | 1.32960i | ||||
\(544\) | 36.3456 | − | 16.4281i | 1.55830 | − | 0.704349i | ||||
\(545\) | −2.39815 | − | 3.30077i | −0.102725 | − | 0.141389i | ||||
\(546\) | 12.8533 | − | 37.2385i | 0.550072 | − | 1.59366i | ||||
\(547\) | 1.07295 | − | 3.30221i | 0.0458761 | − | 0.141192i | −0.925495 | − | 0.378761i | \(-0.876350\pi\) |
0.971371 | + | 0.237568i | \(0.0763504\pi\) | |||||||
\(548\) | 6.75108 | + | 11.0909i | 0.288392 | + | 0.473778i | ||||
\(549\) | −2.26597 | − | 1.30826i | −0.0967091 | − | 0.0558350i | ||||
\(550\) | 18.8189 | + | 8.10744i | 0.802440 | + | 0.345702i | ||||
\(551\) | −22.4094 | −0.954671 | ||||||||
\(552\) | −1.47127 | − | 16.8380i | −0.0626216 | − | 0.716673i | ||||
\(553\) | 0.0191241 | + | 0.0899717i | 0.000813238 | + | 0.00382598i | ||||
\(554\) | −26.8214 | + | 10.6543i | −1.13953 | + | 0.452659i | ||||
\(555\) | 1.70899 | − | 3.83844i | 0.0725424 | − | 0.162933i | ||||
\(556\) | −3.14315 | − | 13.2663i | −0.133299 | − | 0.562618i | ||||
\(557\) | 45.5830 | + | 9.68897i | 1.93141 | + | 0.410535i | 0.998761 | + | 0.0497599i | \(0.0158456\pi\) |
0.932653 | + | 0.360775i | \(0.117488\pi\) | |||||||
\(558\) | 0.474977 | − | 1.85861i | 0.0201074 | − | 0.0786811i | ||||
\(559\) | 1.73650 | + | 0.521218i | 0.0734463 | + | 0.0220452i | ||||
\(560\) | 14.3335 | − | 3.74918i | 0.605702 | − | 0.158432i | ||||
\(561\) | 37.4407 | + | 10.0123i | 1.58075 | + | 0.422720i | ||||
\(562\) | 6.89156 | − | 13.9223i | 0.290703 | − | 0.587278i | ||||
\(563\) | 3.30054 | − | 31.4025i | 0.139101 | − | 1.32346i | −0.672870 | − | 0.739760i | \(-0.734939\pi\) |
0.811971 | − | 0.583697i | \(-0.198395\pi\) | |||||||
\(564\) | −12.9322 | − | 2.43676i | −0.544545 | − | 0.102606i | ||||
\(565\) | 0.769315 | + | 0.692694i | 0.0323653 | + | 0.0291419i | ||||
\(566\) | −14.7648 | − | 5.47204i | −0.620610 | − | 0.230007i | ||||
\(567\) | 22.4023 | + | 30.8342i | 0.940809 | + | 1.29491i | ||||
\(568\) | 5.82830 | − | 9.69751i | 0.244550 | − | 0.406899i | ||||
\(569\) | −14.8031 | + | 13.3287i | −0.620577 | + | 0.558770i | −0.918302 | − | 0.395882i | \(-0.870439\pi\) |
0.297724 | + | 0.954652i | \(0.403772\pi\) | |||||||
\(570\) | 5.49240 | + | 10.4772i | 0.230051 | + | 0.438842i | ||||
\(571\) | −17.2381 | −0.721394 | −0.360697 | − | 0.932683i | \(-0.617461\pi\) | ||||
−0.360697 | + | 0.932683i | \(0.617461\pi\) | |||||||
\(572\) | −21.7890 | − | 9.86093i | −0.911045 | − | 0.412306i | ||||
\(573\) | −41.2598 | −1.72365 | ||||||||
\(574\) | 23.4280 | + | 44.6909i | 0.977865 | + | 1.86536i | ||||
\(575\) | 11.7063 | − | 10.5404i | 0.488188 | − | 0.439566i | ||||
\(576\) | 0.693612 | − | 1.90438i | 0.0289005 | − | 0.0793493i | ||||
\(577\) | −27.1324 | − | 37.3446i | −1.12954 | − | 1.55468i | −0.788943 | − | 0.614466i | \(-0.789371\pi\) |
−0.340595 | − | 0.940210i | \(-0.610629\pi\) | |||||||
\(578\) | 43.3825 | + | 16.0782i | 1.80447 | + | 0.668764i | ||||
\(579\) | 18.1333 | + | 16.3273i | 0.753593 | + | 0.678538i | ||||
\(580\) | −1.03803 | + | 5.50896i | −0.0431017 | + | 0.228747i | ||||
\(581\) | 6.29628 | − | 59.9051i | 0.261214 | − | 2.48528i | ||||
\(582\) | 17.9321 | − | 36.2264i | 0.743308 | − | 1.50163i | ||||
\(583\) | −14.6363 | + | 5.62668i | −0.606175 | + | 0.233033i | ||||
\(584\) | 12.3600 | − | 2.40114i | 0.511462 | − | 0.0993599i | ||||
\(585\) | −0.208649 | + | 0.695140i | −0.00862657 | + | 0.0287405i | ||||
\(586\) | −3.03956 | + | 11.8939i | −0.125563 | + | 0.491333i | ||||
\(587\) | −12.2645 | − | 2.60689i | −0.506208 | − | 0.107598i | −0.0522735 | − | 0.998633i | \(-0.516647\pi\) |
−0.453935 | + | 0.891035i | \(0.649980\pi\) | |||||||
\(588\) | −47.5139 | + | 11.2573i | −1.95944 | + | 0.464244i | ||||
\(589\) | −13.8338 | + | 31.0713i | −0.570013 | + | 1.28027i | ||||
\(590\) | 3.68593 | − | 1.46417i | 0.151747 | − | 0.0602789i | ||||
\(591\) | −1.08512 | − | 5.10507i | −0.0446357 | − | 0.209994i | ||||
\(592\) | 12.6179 | − | 1.92141i | 0.518592 | − | 0.0789693i | ||||
\(593\) | 17.1107 | 0.702650 | 0.351325 | − | 0.936254i | \(-0.385731\pi\) | ||||
0.351325 | + | 0.936254i | \(0.385731\pi\) | |||||||
\(594\) | 21.7470 | − | 12.9088i | 0.892290 | − | 0.529655i | ||||
\(595\) | 22.6172 | + | 13.0580i | 0.927214 | + | 0.535327i | ||||
\(596\) | −14.8135 | + | 9.01708i | −0.606785 | + | 0.369354i | ||||
\(597\) | 4.72161 | − | 14.5316i | 0.193243 | − | 0.594740i | ||||
\(598\) | −13.8849 | + | 12.0518i | −0.567797 | + | 0.492835i | ||||
\(599\) | −20.5993 | − | 28.3525i | −0.841665 | − | 1.15845i | −0.985638 | − | 0.168871i | \(-0.945988\pi\) |
0.143973 | − | 0.989582i | \(-0.454012\pi\) | |||||||
\(600\) | −19.5844 | + | 5.98520i | −0.799529 | + | 0.244345i | ||||
\(601\) | 1.03107 | − | 4.85079i | 0.0420581 | − | 0.197868i | −0.952102 | − | 0.305779i | \(-0.901083\pi\) |
0.994160 | + | 0.107912i | \(0.0344163\pi\) | |||||||
\(602\) | −0.895093 | − | 3.19197i | −0.0364813 | − | 0.130095i | ||||
\(603\) | −0.424690 | − | 0.308555i | −0.0172947 | − | 0.0125653i | ||||
\(604\) | −13.0519 | + | 9.95339i | −0.531075 | + | 0.404998i | ||||
\(605\) | 4.36250 | − | 7.57339i | 0.177361 | − | 0.307902i | ||||
\(606\) | −10.9013 | + | 0.698188i | −0.442836 | + | 0.0283620i | ||||
\(607\) | −0.346638 | + | 3.29804i | −0.0140696 | + | 0.133863i | −0.999302 | − | 0.0373599i | \(-0.988105\pi\) |
0.985232 | + | 0.171223i | \(0.0547719\pi\) | |||||||
\(608\) | −17.7915 | + | 31.2207i | −0.721539 | + | 1.26617i | ||||
\(609\) | 5.66660 | − | 26.6593i | 0.229622 | − | 1.08029i | ||||
\(610\) | 8.93342 | − | 7.40734i | 0.361704 | − | 0.299914i | ||||
\(611\) | 6.11594 | + | 12.9426i | 0.247424 | + | 0.523604i | ||||
\(612\) | 3.22917 | − | 1.52843i | 0.130531 | − | 0.0617832i | ||||
\(613\) | −7.11502 | − | 7.90203i | −0.287373 | − | 0.319160i | 0.582122 | − | 0.813101i | \(-0.302222\pi\) |
−0.869495 | + | 0.493941i | \(0.835556\pi\) | |||||||
\(614\) | −17.6222 | − | 33.6158i | −0.711173 | − | 1.35662i | ||||
\(615\) | 5.03932 | + | 8.72836i | 0.203205 | + | 0.351961i | ||||
\(616\) | 6.10284 | + | 43.3028i | 0.245891 | + | 1.74472i | ||||
\(617\) | 0.993804 | − | 0.573773i | 0.0400091 | − | 0.0230992i | −0.479862 | − | 0.877344i | \(-0.659313\pi\) |
0.519871 | + | 0.854245i | \(0.325980\pi\) | |||||||
\(618\) | −0.926854 | + | 22.7262i | −0.0372835 | + | 0.914181i | ||||
\(619\) | −10.6128 | + | 32.6629i | −0.426566 | + | 1.31283i | 0.474922 | + | 0.880028i | \(0.342476\pi\) |
−0.901487 | + | 0.432806i | \(0.857524\pi\) | |||||||
\(620\) | 6.99755 | + | 4.84007i | 0.281028 | + | 0.194382i | ||||
\(621\) | −2.03218 | − | 19.3349i | −0.0815486 | − | 0.775883i | ||||
\(622\) | −11.2970 | + | 1.92384i | −0.452968 | + | 0.0771390i | ||||
\(623\) | 19.1324 | + | 58.8836i | 0.766525 | + | 2.35912i | ||||
\(624\) | 22.9817 | − | 6.56860i | 0.920003 | − | 0.262955i | ||||
\(625\) | −12.8868 | − | 9.36284i | −0.515474 | − | 0.374514i | ||||
\(626\) | 7.45523 | − | 15.0611i | 0.297971 | − | 0.601961i | ||||
\(627\) | −32.5912 | + | 12.5291i | −1.30157 | + | 0.500365i | ||||
\(628\) | −12.1493 | − | 15.9314i | −0.484810 | − | 0.635733i | ||||
\(629\) | 18.2015 | + | 13.2241i | 0.725739 | + | 0.527281i | ||||
\(630\) | 1.27778 | − | 0.358314i | 0.0509078 | − | 0.0142756i | ||||
\(631\) | 0.0105984 | − | 0.0117707i | 0.000421915 | − | 0.000468584i | −0.742934 | − | 0.669365i | \(-0.766566\pi\) |
0.743356 | + | 0.668896i | \(0.233233\pi\) | |||||||
\(632\) | −0.0380659 | + | 0.0408117i | −0.00151418 | + | 0.00162340i | ||||
\(633\) | 5.84971 | − | 13.1387i | 0.232505 | − | 0.522215i | ||||
\(634\) | 2.34751 | − | 16.0222i | 0.0932315 | − | 0.636324i | ||||
\(635\) | 0.119941 | − | 0.107995i | 0.00475971 | − | 0.00428566i | ||||
\(636\) | 7.51862 | − | 13.7496i | 0.298133 | − | 0.545209i | ||||
\(637\) | 40.2641 | + | 34.6416i | 1.59532 | + | 1.37255i | ||||
\(638\) | −15.7974 | − | 4.92248i | −0.625426 | − | 0.194883i | ||||
\(639\) | 0.506713 | − | 0.877652i | 0.0200452 | − | 0.0347194i | ||||
\(640\) | 6.85094 | + | 5.81990i | 0.270807 | + | 0.230052i | ||||
\(641\) | 10.7698 | − | 2.28919i | 0.425381 | − | 0.0904175i | 0.00975353 | − | 0.999952i | \(-0.496895\pi\) |
0.415628 | + | 0.909535i | \(0.363562\pi\) | |||||||
\(642\) | −10.8773 | + | 4.32083i | −0.429295 | + | 0.170530i | ||||
\(643\) | −9.00716 | − | 4.01025i | −0.355208 | − | 0.158149i | 0.221372 | − | 0.975189i | \(-0.428946\pi\) |
−0.576580 | + | 0.817041i | \(0.695613\pi\) | |||||||
\(644\) | 32.2049 | + | 9.64408i | 1.26905 | + | 0.380030i | ||||
\(645\) | −0.204616 | − | 0.629742i | −0.00805673 | − | 0.0247961i | ||||
\(646\) | −60.9894 | + | 17.1027i | −2.39960 | + | 0.672895i | ||||
\(647\) | −5.46481 | − | 12.2742i | −0.214844 | − | 0.482547i | 0.773687 | − | 0.633568i | \(-0.218410\pi\) |
−0.988531 | + | 0.151021i | \(0.951744\pi\) | |||||||
\(648\) | −7.53103 | + | 21.8639i | −0.295847 | + | 0.858895i | ||||
\(649\) | 3.03545 | + | 11.3060i | 0.119152 | + | 0.443801i | ||||
\(650\) | 17.7805 | + | 13.4194i | 0.697407 | + | 0.526350i | ||||
\(651\) | −33.4658 | − | 24.3143i | −1.31163 | − | 0.952954i | ||||
\(652\) | −30.6290 | − | 26.3180i | −1.19953 | − | 1.03069i | ||||
\(653\) | −27.2196 | − | 5.78571i | −1.06519 | − | 0.226413i | −0.358204 | − | 0.933643i | \(-0.616611\pi\) |
−0.706983 | + | 0.707231i | \(0.749944\pi\) | |||||||
\(654\) | −4.18245 | + | 11.2852i | −0.163547 | + | 0.441285i | ||||
\(655\) | −8.29483 | − | 11.4168i | −0.324106 | − | 0.446093i | ||||
\(656\) | −14.0616 | + | 27.1952i | −0.549013 | + | 1.06180i | ||||
\(657\) | 1.10316 | − | 0.234483i | 0.0430382 | − | 0.00914805i | ||||
\(658\) | 14.0000 | − | 22.1156i | 0.545779 | − | 0.862156i | ||||
\(659\) | 12.6273 | + | 21.8712i | 0.491892 | + | 0.851981i | 0.999956 | − | 0.00933766i | \(-0.00297231\pi\) |
−0.508065 | + | 0.861319i | \(0.669639\pi\) | |||||||
\(660\) | 1.57041 | + | 8.59235i | 0.0611281 | + | 0.334457i | ||||
\(661\) | 20.7714 | + | 11.9924i | 0.807915 | + | 0.466450i | 0.846231 | − | 0.532816i | \(-0.178866\pi\) |
−0.0383161 | + | 0.999266i | \(0.512199\pi\) | |||||||
\(662\) | −4.85849 | − | 3.07562i | −0.188831 | − | 0.119537i | ||||
\(663\) | 36.9538 | + | 20.2378i | 1.43517 | + | 0.785970i | ||||
\(664\) | 31.9665 | − | 17.7147i | 1.24054 | − | 0.687464i | ||||
\(665\) | −23.3997 | + | 2.45941i | −0.907403 | + | 0.0953719i | ||||
\(666\) | 1.12700 | − | 0.191925i | 0.0436705 | − | 0.00743694i | ||||
\(667\) | −8.51144 | + | 9.45291i | −0.329564 | + | 0.366018i | ||||
\(668\) | 4.81751 | + | 0.907740i | 0.186395 | + | 0.0351215i | ||||
\(669\) | −18.4630 | − | 1.94054i | −0.713822 | − | 0.0750257i | ||||
\(670\) | 1.93782 | − | 1.29063i | 0.0748644 | − | 0.0498615i | ||||
\(671\) | 18.6701 | + | 28.7182i | 0.720750 | + | 1.10865i | ||||
\(672\) | −32.6427 | − | 29.0603i | −1.25922 | − | 1.12102i | ||||
\(673\) | −5.39865 | − | 12.1256i | −0.208103 | − | 0.467406i | 0.779095 | − | 0.626905i | \(-0.215679\pi\) |
−0.987198 | + | 0.159499i | \(0.949012\pi\) | |||||||
\(674\) | −0.829510 | + | 0.848979i | −0.0319515 | + | 0.0327015i | ||||
\(675\) | −22.4022 | + | 7.27891i | −0.862261 | + | 0.280166i | ||||
\(676\) | −20.4644 | − | 16.0378i | −0.787091 | − | 0.616837i | ||||
\(677\) | 3.28260 | + | 4.51812i | 0.126161 | + | 0.173645i | 0.867425 | − | 0.497568i | \(-0.165773\pi\) |
−0.741264 | + | 0.671213i | \(0.765773\pi\) | |||||||
\(678\) | 0.442692 | − | 3.02146i | 0.0170015 | − | 0.116038i | ||||
\(679\) | 53.7964 | + | 59.7469i | 2.06452 | + | 2.29288i | ||||
\(680\) | 1.37930 | + | 15.7854i | 0.0528937 | + | 0.605343i | ||||
\(681\) | 35.2605 | 1.35119 | ||||||||
\(682\) | −16.5773 | + | 18.8649i | −0.634777 | + | 0.722373i | ||||
\(683\) | 3.25484 | + | 5.63755i | 0.124543 | + | 0.215715i | 0.921554 | − | 0.388250i | \(-0.126920\pi\) |
−0.797011 | + | 0.603965i | \(0.793587\pi\) | |||||||
\(684\) | −1.54424 | + | 2.82403i | −0.0590456 | + | 0.107979i | ||||
\(685\) | −5.04547 | + | 1.07245i | −0.192777 | + | 0.0409761i | ||||
\(686\) | 7.38921 | − | 50.4329i | 0.282121 | − | 1.92554i | ||||
\(687\) | 4.75238 | + | 45.2159i | 0.181315 | + | 1.72509i | ||||
\(688\) | 1.27511 | − | 1.55556i | 0.0486130 | − | 0.0593053i | ||||
\(689\) | −16.9087 | + | 2.16386i | −0.644171 | + | 0.0824364i | ||||
\(690\) | 6.50569 | + | 1.66256i | 0.247667 | + | 0.0632927i | ||||
\(691\) | −7.72793 | + | 3.44070i | −0.293984 | + | 0.130890i | −0.548429 | − | 0.836197i | \(-0.684774\pi\) |
0.254445 | + | 0.967087i | \(0.418107\pi\) | |||||||
\(692\) | −8.47116 | − | 3.53850i | −0.322025 | − | 0.134514i | ||||
\(693\) | 0.614673 | + | 3.86848i | 0.0233495 | + | 0.146952i | ||||
\(694\) | 32.2976 | − | 2.06854i | 1.22600 | − | 0.0785206i | ||||
\(695\) | 5.38659 | + | 0.566153i | 0.204325 | + | 0.0214754i | ||||
\(696\) | 15.2226 | − | 6.45966i | 0.577013 | − | 0.244853i | ||||
\(697\) | −51.3253 | + | 16.6766i | −1.94408 | + | 0.631671i | ||||
\(698\) | 17.5640 | + | 6.50947i | 0.664807 | + | 0.246387i | ||||
\(699\) | −1.55267 | − | 14.7727i | −0.0587275 | − | 0.558755i | ||||
\(700\) | 3.31681 | − | 40.5959i | 0.125363 | − | 1.53438i | ||||
\(701\) | −26.5420 | − | 8.62402i | −1.00248 | − | 0.325725i | −0.238623 | − | 0.971112i | \(-0.576696\pi\) |
−0.763855 | + | 0.645387i | \(0.776696\pi\) | |||||||
\(702\) | 26.2975 | − | 8.01849i | 0.992534 | − | 0.302638i | ||||
\(703\) | −20.2692 | −0.764468 | ||||||||
\(704\) | −19.4000 | + | 18.1008i | −0.731165 | + | 0.682200i | ||||
\(705\) | 2.61401 | − | 4.52760i | 0.0984494 | − | 0.170519i | ||||
\(706\) | −13.1821 | − | 0.537614i | −0.496117 | − | 0.0202334i | ||||
\(707\) | 6.71396 | − | 20.6634i | 0.252504 | − | 0.777129i | ||||
\(708\) | −9.62191 | − | 6.65529i | −0.361613 | − | 0.250121i | ||||
\(709\) | −10.4099 | + | 23.3810i | −0.390952 | + | 0.878093i | 0.605650 | + | 0.795731i | \(0.292913\pi\) |
−0.996602 | + | 0.0823623i | \(0.973754\pi\) | |||||||
\(710\) | 2.86901 | + | 3.46008i | 0.107672 | + | 0.129855i | ||||
\(711\) | −0.00334488 | + | 0.00371487i | −0.000125443 | + | 0.000139318i | ||||
\(712\) | −22.6107 | + | 29.9986i | −0.847372 | + | 1.12424i | ||||
\(713\) | 7.85245 | + | 17.6369i | 0.294077 | + | 0.660507i | ||||
\(714\) | −4.92392 | − | 76.8807i | −0.184273 | − | 2.87719i | ||||
\(715\) | 6.56181 | − | 6.87160i | 0.245398 | − | 0.256983i | ||||
\(716\) | 2.42371 | + | 18.8439i | 0.0905782 | + | 0.704231i | ||||
\(717\) | −3.64480 | + | 1.62277i | −0.136117 | + | 0.0606034i | ||||
\(718\) | −13.0447 | + | 13.3509i | −0.486824 | + | 0.498250i | ||||
\(719\) | 9.98152 | + | 8.98740i | 0.372248 | + | 0.335174i | 0.833928 | − | 0.551873i | \(-0.186087\pi\) |
−0.461680 | + | 0.887046i | \(0.652753\pi\) | |||||||
\(720\) | 0.622708 | + | 0.510438i | 0.0232070 | + | 0.0190229i | ||||
\(721\) | −41.3281 | − | 18.4005i | −1.53914 | − | 0.685269i | ||||
\(722\) | 18.7297 | − | 23.6858i | 0.697048 | − | 0.881495i | ||||
\(723\) | −39.6075 | − | 12.8692i | −1.47302 | − | 0.478612i | ||||
\(724\) | 0.886653 | + | 38.2144i | 0.0329522 | + | 1.42023i | ||||
\(725\) | 13.3469 | + | 7.70582i | 0.495690 | + | 0.286187i | ||||
\(726\) | −25.7272 | + | 1.67333i | −0.954827 | + | 0.0621031i | ||||
\(727\) | − | 52.5080i | − | 1.94741i | −0.227802 | − | 0.973707i | \(-0.573154\pi\) | ||
0.227802 | − | 0.973707i | \(-0.426846\pi\) | |||||||
\(728\) | −4.73293 | + | 47.3041i | −0.175414 | + | 1.75321i | ||||
\(729\) | −8.92402 | + | 27.4653i | −0.330519 | + | 1.01723i | ||||
\(730\) | −0.725145 | + | 4.94926i | −0.0268388 | + | 0.183180i | ||||
\(731\) | 3.52610 | − | 0.370608i | 0.130417 | − | 0.0137074i | ||||
\(732\) | −32.7939 | − | 9.82045i | −1.21210 | − | 0.362974i | ||||
\(733\) | −4.36482 | − | 13.4335i | −0.161218 | − | 0.496178i | 0.837520 | − | 0.546407i | \(-0.184005\pi\) |
−0.998738 | + | 0.0502289i | \(0.984005\pi\) | |||||||
\(734\) | 5.58131 | + | 19.9034i | 0.206010 | + | 0.734647i | ||||
\(735\) | 2.02770 | − | 19.2923i | 0.0747927 | − | 0.711605i | ||||
\(736\) | 6.41229 | + | 19.3631i | 0.236360 | + | 0.713732i | ||||
\(737\) | 3.12295 | + | 6.12164i | 0.115036 | + | 0.225494i | ||||
\(738\) | −1.21654 | + | 2.45765i | −0.0447814 | + | 0.0904675i | ||||
\(739\) | −2.30678 | − | 5.18111i | −0.0848562 | − | 0.190590i | 0.866133 | − | 0.499813i | \(-0.166598\pi\) |
−0.950990 | + | 0.309223i | \(0.899931\pi\) | |||||||
\(740\) | −0.938893 | + | 4.98284i | −0.0345144 | + | 0.183173i | ||||
\(741\) | −37.6512 | + | 4.81834i | −1.38315 | + | 0.177006i | ||||
\(742\) | 19.8951 | + | 23.9939i | 0.730372 | + | 0.880845i | ||||
\(743\) | −6.94491 | + | 0.729940i | −0.254784 | + | 0.0267789i | −0.231059 | − | 0.972940i | \(-0.574219\pi\) |
−0.0237247 | + | 0.999719i | \(0.507553\pi\) | |||||||
\(744\) | 0.440778 | − | 25.0944i | 0.0161597 | − | 0.920005i | ||||
\(745\) | −1.43241 | − | 6.73898i | −0.0524796 | − | 0.246897i | ||||
\(746\) | 8.44753 | − | 13.3444i | 0.309286 | − | 0.488573i | ||||
\(747\) | 2.83497 | − | 1.63677i | 0.103726 | − | 0.0598863i | ||||
\(748\) | −46.7511 | − | 1.34056i | −1.70939 | − | 0.0490156i | ||||
\(749\) | − | 23.2791i | − | 0.850601i | ||||||
\(750\) | 0.710949 | − | 17.4323i | 0.0259602 | − | 0.636537i | ||||
\(751\) | −7.15901 | + | 6.44600i | −0.261236 | + | 0.235218i | −0.789332 | − | 0.613967i | \(-0.789573\pi\) |
0.528096 | + | 0.849185i | \(0.322906\pi\) | |||||||
\(752\) | 15.8639 | − | 0.736546i | 0.578496 | − | 0.0268591i | ||||
\(753\) | 10.9424 | − | 7.95013i | 0.398764 | − | 0.289719i | ||||
\(754\) | −15.4118 | − | 9.27602i | −0.561266 | − | 0.337813i | ||||
\(755\) | −2.01506 | − | 6.20172i | −0.0733355 | − | 0.225704i | ||||
\(756\) | −38.1280 | − | 32.7615i | −1.38670 | − | 1.19152i | ||||
\(757\) | −12.1718 | + | 5.41925i | −0.442393 | + | 0.196966i | −0.615830 | − | 0.787879i | \(-0.711179\pi\) |
0.173437 | + | 0.984845i | \(0.444513\pi\) | |||||||
\(758\) | 21.6227 | + | 32.4653i | 0.785371 | + | 1.17919i | ||||
\(759\) | −7.09352 | + | 18.5067i | −0.257479 | + | 0.671749i | ||||
\(760\) | −9.36450 | − | 10.7750i | −0.339686 | − | 0.390851i | ||||
\(761\) | −3.04897 | + | 29.0090i | −0.110525 | + | 1.05158i | 0.788906 | + | 0.614513i | \(0.210648\pi\) |
−0.899431 | + | 0.437062i | \(0.856019\pi\) | |||||||
\(762\) | −0.461270 | − | 0.117880i | −0.0167100 | − | 0.00427034i | ||||
\(763\) | −17.7893 | − | 16.0175i | −0.644014 | − | 0.579873i | ||||
\(764\) | 48.4502 | − | 11.4792i | 1.75287 | − | 0.415302i | ||||
\(765\) | 0.148358 | + | 1.41153i | 0.00536389 | + | 0.0510340i | ||||
\(766\) | −19.1847 | − | 48.2959i | −0.693171 | − | 1.74500i | ||||
\(767\) | 0.287096 | + | 12.7230i | 0.0103664 | + | 0.459401i | ||||
\(768\) | 3.08613 | − | 26.3367i | 0.111361 | − | 0.950342i | ||||
\(769\) | −21.9361 | + | 37.9945i | −0.791038 | + | 1.37012i | 0.134288 | + | 0.990942i | \(0.457125\pi\) |
−0.925325 | + | 0.379175i | \(0.876208\pi\) | |||||||
\(770\) | −17.0358 | − | 3.40627i | −0.613928 | − | 0.122753i | ||||
\(771\) | 4.90855 | − | 2.83395i | 0.176777 | − | 0.102062i | ||||
\(772\) | −25.8359 | − | 14.1277i | −0.929854 | − | 0.508465i | ||||
\(773\) | −3.80939 | − | 17.9218i | −0.137014 | − | 0.644602i | −0.992030 | − | 0.126000i | \(-0.959786\pi\) |
0.855016 | − | 0.518602i | \(-0.173547\pi\) | |||||||
\(774\) | 0.111748 | − | 0.141318i | 0.00401671 | − | 0.00507958i | ||||
\(775\) | 18.9237 | − | 13.7489i | 0.679760 | − | 0.493874i | ||||
\(776\) | −10.9783 | + | 47.5286i | −0.394099 | + | 1.70618i | ||||
\(777\) | 5.12543 | − | 24.1133i | 0.183874 | − | 0.865059i | ||||
\(778\) | −14.9369 | − | 14.5944i | −0.535514 | − | 0.523233i | ||||
\(779\) | 28.5781 | − | 39.3343i | 1.02392 | − | 1.40930i | ||||
\(780\) | −0.559541 | + | 9.47910i | −0.0200348 | + | 0.339406i | ||||
\(781\) | −11.1231 | + | 7.23127i | −0.398016 | + | 0.258755i | ||||
\(782\) | −15.9504 | + | 32.2230i | −0.570384 | + | 1.15229i | ||||
\(783\) | 17.3764 | − | 7.73646i | 0.620981 | − | 0.276479i | ||||
\(784\) | 52.6622 | − | 26.4383i | 1.88079 | − | 0.944225i | ||||
\(785\) | 7.56993 | − | 2.45962i | 0.270183 | − | 0.0877876i | ||||
\(786\) | −14.4664 | + | 39.0336i | −0.516000 | + | 1.39228i | ||||
\(787\) | −21.1227 | + | 47.4425i | −0.752944 | + | 1.69114i | −0.0306746 | + | 0.999529i | \(0.509766\pi\) |
−0.722270 | + | 0.691611i | \(0.756901\pi\) | |||||||
\(788\) | 2.69454 | + | 5.69284i | 0.0959888 | + | 0.202799i | ||||
\(789\) | 6.31625 | + | 29.7156i | 0.224864 | + | 1.05790i | ||||
\(790\) | −0.0102940 | − | 0.0196366i | −0.000366243 | − | 0.000698640i | ||||
\(791\) | 5.26002 | + | 3.03688i | 0.187025 | + | 0.107979i | ||||
\(792\) | −1.70894 | + | 1.65158i | −0.0607246 | + | 0.0586863i | ||||
\(793\) | 12.3030 | + | 35.1464i | 0.436894 | + | 1.24809i | ||||
\(794\) | −24.8887 | + | 39.3161i | −0.883266 | + | 1.39528i | ||||
\(795\) | 4.16580 | + | 4.62659i | 0.147746 | + | 0.164088i | ||||
\(796\) | −1.50151 | + | 18.3777i | −0.0532197 | + | 0.651381i | ||||
\(797\) | 24.5815 | + | 10.9444i | 0.870723 | + | 0.387671i | 0.792940 | − | 0.609299i | \(-0.208549\pi\) |
0.0777829 | + | 0.996970i | \(0.475216\pi\) | |||||||
\(798\) | 44.3011 | + | 53.4281i | 1.56824 | + | 1.89133i | ||||
\(799\) | 20.8034 | + | 18.7315i | 0.735972 | + | 0.662672i | ||||
\(800\) | 21.3322 | − | 12.4769i | 0.754207 | − | 0.441127i | ||||
\(801\) | −1.97777 | + | 2.72216i | −0.0698809 | + | 0.0961828i | ||||
\(802\) | 35.0177 | − | 23.3226i | 1.23652 | − | 0.823551i | ||||
\(803\) | −14.2632 | − | 3.81424i | −0.503337 | − | 0.134602i | ||||
\(804\) | −6.33737 | − | 2.64719i | −0.223502 | − | 0.0933593i | ||||
\(805\) | −7.85015 | + | 10.8048i | −0.276681 | + | 0.380819i | ||||
\(806\) | −22.3756 | + | 15.6427i | −0.788147 | + | 0.550990i | ||||
\(807\) | −24.7180 | + | 8.03136i | −0.870115 | + | 0.282717i | ||||
\(808\) | 12.6069 | − | 3.85279i | 0.443508 | − | 0.135541i | ||||
\(809\) | 33.6570 | − | 3.53749i | 1.18332 | − | 0.124372i | 0.507640 | − | 0.861569i | \(-0.330518\pi\) |
0.675677 | + | 0.737197i | \(0.263851\pi\) | |||||||
\(810\) | −7.20604 | − | 5.69822i | −0.253194 | − | 0.200215i | ||||
\(811\) | 19.6977 | + | 6.40018i | 0.691680 | + | 0.224741i | 0.633702 | − | 0.773577i | \(-0.281535\pi\) |
0.0579784 | + | 0.998318i | \(0.481535\pi\) | |||||||
\(812\) | 0.762925 | + | 32.8818i | 0.0267734 | + | 1.15392i | ||||
\(813\) | 18.3909 | + | 31.8539i | 0.644996 | + | 1.11717i | ||||
\(814\) | −14.2887 | − | 4.45237i | −0.500820 | − | 0.156056i | ||||
\(815\) | 13.8937 | − | 8.02151i | 0.486674 | − | 0.280981i | ||||
\(816\) | 36.5000 | − | 29.1984i | 1.27776 | − | 1.02215i | ||||
\(817\) | −2.37379 | + | 2.13737i | −0.0830484 | + | 0.0747771i | ||||
\(818\) | 5.29009 | + | 13.3174i | 0.184964 | + | 0.465631i | ||||
\(819\) | −0.349457 | + | 4.24388i | −0.0122110 | + | 0.148293i | ||||
\(820\) | −8.34590 | − | 8.84744i | −0.291452 | − | 0.308966i | ||||
\(821\) | 4.85149 | + | 1.03122i | 0.169318 | + | 0.0359897i | 0.291791 | − | 0.956482i | \(-0.405749\pi\) |
−0.122472 | + | 0.992472i | \(0.539082\pi\) | |||||||
\(822\) | 10.8833 | + | 10.6337i | 0.379598 | + | 0.370893i | ||||
\(823\) | −35.7665 | − | 3.75921i | −1.24674 | − | 0.131038i | −0.541925 | − | 0.840427i | \(-0.682305\pi\) |
−0.704818 | + | 0.709389i | \(0.748971\pi\) | |||||||
\(824\) | −5.23442 | − | 26.9446i | −0.182350 | − | 0.938658i | ||||
\(825\) | 23.7194 | + | 3.74474i | 0.825805 | + | 0.130375i | ||||
\(826\) | 19.3672 | − | 12.8990i | 0.673871 | − | 0.448815i | ||||
\(827\) | 4.94510 | − | 6.80635i | 0.171958 | − | 0.236680i | −0.714336 | − | 0.699803i | \(-0.753271\pi\) |
0.886294 | + | 0.463123i | \(0.153271\pi\) | |||||||
\(828\) | 0.604727 | + | 1.72402i | 0.0210157 | + | 0.0599138i | ||||
\(829\) | 2.30319 | + | 0.489558i | 0.0799931 | + | 0.0170031i | 0.247734 | − | 0.968828i | \(-0.420314\pi\) |
−0.167741 | + | 0.985831i | \(0.553647\pi\) | |||||||
\(830\) | 2.43745 | + | 14.3130i | 0.0846052 | + | 0.496810i | ||||
\(831\) | −27.3616 | + | 19.8794i | −0.949164 | + | 0.689608i | ||||
\(832\) | −25.1592 | + | 14.1072i | −0.872239 | + | 0.489079i | ||||
\(833\) | 98.7867 | + | 32.0977i | 3.42275 | + | 1.11212i | ||||
\(834\) | −7.41807 | − | 14.1506i | −0.256867 | − | 0.489995i | ||||
\(835\) | −0.973772 | + | 1.68662i | −0.0336988 | + | 0.0583680i | ||||
\(836\) | 34.7851 | − | 23.7800i | 1.20307 | − | 0.822448i | ||||
\(837\) | − | 28.8688i | − | 0.997852i | ||||||
\(838\) | −53.1059 | − | 2.16585i | −1.83451 | − | 0.0748179i | ||||
\(839\) | −15.4043 | + | 3.27428i | −0.531814 | + | 0.113041i | −0.465989 | − | 0.884791i | \(-0.654301\pi\) |
−0.0658254 | + | 0.997831i | \(0.520968\pi\) | |||||||
\(840\) | 15.1865 | − | 8.41581i | 0.523983 | − | 0.290373i | ||||
\(841\) | 15.1238 | + | 6.73354i | 0.521510 | + | 0.232191i | ||||
\(842\) | −12.0232 | + | 2.04751i | −0.414347 | + | 0.0705619i | ||||
\(843\) | 3.78501 | − | 17.8071i | 0.130363 | − | 0.613308i | ||||
\(844\) | −3.21375 | + | 17.0558i | −0.110622 | + | 0.587087i | ||||
\(845\) | 8.70319 | − | 5.56278i | 0.299399 | − | 0.191366i | ||||
\(846\) | 1.41957 | − | 0.0909180i | 0.0488058 | − | 0.00312583i | ||||
\(847\) | 15.7977 | − | 48.7847i | 0.542815 | − | 1.67626i | ||||
\(848\) | −5.00352 | + | 18.2376i | −0.171822 | + | 0.626282i | ||||
\(849\) | −18.3517 | − | 1.92884i | −0.629828 | − | 0.0661976i | ||||
\(850\) | 42.2059 | + | 10.7860i | 1.44765 | + | 0.369955i | ||||
\(851\) | −7.69858 | + | 8.55014i | −0.263904 | + | 0.293095i | ||||
\(852\) | 3.80365 | − | 12.7017i | 0.130311 | − | 0.435153i | ||||
\(853\) | 42.4707 | − | 30.8568i | 1.45417 | − | 1.05652i | 0.469335 | − | 0.883020i | \(-0.344494\pi\) |
0.984835 | − | 0.173496i | \(-0.0555065\pi\) | |||||||
\(854\) | 42.2324 | − | 53.4076i | 1.44516 | − | 1.82757i | ||||
\(855\) | −0.855610 | − | 0.950251i | −0.0292612 | − | 0.0324979i | ||||
\(856\) | 11.5708 | − | 8.10009i | 0.395483 | − | 0.276855i | ||||
\(857\) | − | 18.6298i | − | 0.636383i | −0.948026 | − | 0.318192i | \(-0.896924\pi\) | ||
0.948026 | − | 0.318192i | \(-0.103076\pi\) | |||||||
\(858\) | −27.6005 | − | 4.87386i | −0.942266 | − | 0.166391i | ||||
\(859\) | 8.18405i | 0.279236i | 0.990205 | + | 0.139618i | \(0.0445875\pi\) | ||||
−0.990205 | + | 0.139618i | \(0.955413\pi\) | |||||||
\(860\) | 0.415479 | + | 0.682560i | 0.0141677 | + | 0.0232751i | ||||
\(861\) | 39.5676 | + | 43.9442i | 1.34846 | + | 1.49762i | ||||
\(862\) | 24.2335 | + | 19.1628i | 0.825397 | + | 0.652688i | ||||
\(863\) | 27.8062 | − | 20.2024i | 0.946533 | − | 0.687697i | −0.00345109 | − | 0.999994i | \(-0.501099\pi\) |
0.949984 | + | 0.312297i | \(0.101099\pi\) | |||||||
\(864\) | 3.01720 | − | 30.3509i | 0.102647 | − | 1.03256i | ||||
\(865\) | 2.44043 | − | 2.71037i | 0.0829770 | − | 0.0921553i | ||||
\(866\) | −6.09604 | + | 23.8541i | −0.207152 | + | 0.810595i | ||||
\(867\) | 53.9218 | + | 5.66741i | 1.83128 | + | 0.192475i | ||||
\(868\) | 46.0626 | + | 19.2409i | 1.56347 | + | 0.653078i | ||||
\(869\) | 0.0610832 | − | 0.0234824i | 0.00207210 | − | 0.000796585i | ||||
\(870\) | 0.419891 | + | 6.55607i | 0.0142356 | + | 0.222272i | ||||
\(871\) | 1.71775 | + | 7.27073i | 0.0582036 | + | 0.246359i | ||||
\(872\) | 1.77160 | − | 14.4155i | 0.0599941 | − | 0.488170i | ||||
\(873\) | −0.908426 | + | 4.27381i | −0.0307456 | + | 0.144646i | ||||
\(874\) | −5.43803 | − | 31.9327i | −0.183944 | − | 1.08014i | ||||
\(875\) | 31.7010 | + | 14.1142i | 1.07169 | + | 0.477147i | ||||
\(876\) | 13.3369 | − | 6.31262i | 0.450612 | − | 0.213284i | ||||
\(877\) | 31.2671 | − | 6.64603i | 1.05582 | − | 0.224421i | 0.352876 | − | 0.935670i | \(-0.385204\pi\) |
0.702940 | + | 0.711250i | \(0.251870\pi\) | |||||||
\(878\) | 0.502287 | − | 12.3159i | 0.0169514 | − | 0.415643i | ||||
\(879\) | 14.3863i | 0.485239i | ||||||||
\(880\) | −4.23462 | − | 9.65283i | −0.142749 | − | 0.325397i | ||||
\(881\) | 8.22707 | − | 14.2497i | 0.277177 | − | 0.480085i | −0.693505 | − | 0.720452i | \(-0.743934\pi\) |
0.970682 | + | 0.240367i | \(0.0772678\pi\) | |||||||
\(882\) | 4.67470 | − | 2.45059i | 0.157405 | − | 0.0825155i | ||||
\(883\) | 33.5850 | + | 10.9124i | 1.13023 | + | 0.367233i | 0.813662 | − | 0.581338i | \(-0.197471\pi\) |
0.316565 | + | 0.948571i | \(0.397471\pi\) | |||||||
\(884\) | −49.0243 | − | 13.4835i | −1.64886 | − | 0.453498i | ||||
\(885\) | 3.76016 | − | 2.73192i | 0.126397 | − | 0.0918324i | ||||
\(886\) | −16.0974 | + | 2.74134i | −0.540803 | + | 0.0920971i | ||||
\(887\) | −37.7709 | − | 8.02844i | −1.26822 | − | 0.269569i | −0.475806 | − | 0.879550i | \(-0.657843\pi\) |
−0.792416 | + | 0.609982i | \(0.791177\pi\) | |||||||
\(888\) | 13.7689 | − | 5.84275i | 0.462052 | − | 0.196070i | ||||
\(889\) | 0.556595 | − | 0.766087i | 0.0186676 | − | 0.0256937i | ||||
\(890\) | −8.27265 | − | 12.4209i | −0.277300 | − | 0.416351i | ||||
\(891\) | 19.1644 | − | 19.1834i | 0.642032 | − | 0.642668i | ||||
\(892\) | 22.2205 | − | 2.85800i | 0.743997 | − | 0.0956929i | ||||
\(893\) | −25.0821 | − | 2.63624i | −0.839341 | − | 0.0882183i | ||||
\(894\) | −14.2029 | + | 14.5363i | −0.475016 | + | 0.486165i | ||||
\(895\) | −7.38291 | − | 1.56929i | −0.246784 | − | 0.0524555i | ||||
\(896\) | 46.4165 | + | 25.0429i | 1.55067 | + | 0.836624i | ||||
\(897\) | −12.2680 | + | 17.7124i | −0.409618 | + | 0.591401i | ||||
\(898\) | −5.15694 | + | 2.04850i | −0.172089 | + | 0.0683594i | ||||
\(899\) | −14.0368 | + | 12.6388i | −0.468152 | + | 0.421526i | ||||
\(900\) | 1.89083 | − | 1.15096i | 0.0630276 | − | 0.0383653i | ||||
\(901\) | −28.8696 | + | 16.6679i | −0.961787 | + | 0.555288i | ||||
\(902\) | 28.7863 | − | 21.4511i | 0.958478 | − | 0.714244i | ||||
\(903\) | −1.94246 | − | 3.36445i | −0.0646412 | − | 0.111962i | ||||
\(904\) | 0.320780 | + | 3.67118i | 0.0106690 | + | 0.122102i | ||||
\(905\) | −14.4424 | − | 4.69261i | −0.480081 | − | 0.155988i | ||||
\(906\) | −11.9311 | + | 15.0882i | −0.396384 | + | 0.501272i | ||||
\(907\) | 3.21407 | − | 0.337813i | 0.106721 | − | 0.0112169i | −0.0510171 | − | 0.998698i | \(-0.516246\pi\) |
0.157739 | + | 0.987481i | \(0.449580\pi\) | |||||||
\(908\) | −41.4054 | + | 9.81007i | −1.37409 | + | 0.325559i | ||||
\(909\) | 1.12298 | − | 0.364877i | 0.0372468 | − | 0.0121022i | ||||
\(910\) | −17.1110 | − | 7.99453i | −0.567223 | − | 0.265016i | ||||
\(911\) | −10.4830 | + | 14.4287i | −0.347318 | + | 0.478043i | −0.946561 | − | 0.322525i | \(-0.895468\pi\) |
0.599243 | + | 0.800567i | \(0.295468\pi\) | |||||||
\(912\) | −11.1415 | + | 40.6103i | −0.368932 | + | 1.34474i | ||||
\(913\) | −42.7950 | + | 2.26406i | −1.41631 | + | 0.0749293i | ||||
\(914\) | 18.8896 | + | 28.3617i | 0.624812 | + | 0.938122i | ||||
\(915\) | 7.99372 | − | 11.0024i | 0.264264 | − | 0.363728i | ||||
\(916\) | −18.1604 | − | 51.7736i | −0.600037 | − | 1.71065i | ||||
\(917\) | −61.5302 | − | 55.4021i | −2.03191 | − | 1.82954i | ||||
\(918\) | 41.3872 | − | 34.3171i | 1.36598 | − | 1.13263i | ||||
\(919\) | −28.4818 | − | 12.6809i | −0.939529 | − | 0.418305i | −0.120924 | − | 0.992662i | \(-0.538586\pi\) |
−0.818605 | + | 0.574356i | \(0.805252\pi\) | |||||||
\(920\) | −8.10200 | − | 0.142310i | −0.267115 | − | 0.00469183i | ||||
\(921\) | −29.7621 | − | 33.0542i | −0.980695 | − | 1.08917i | ||||
\(922\) | 6.11496 | + | 3.87101i | 0.201386 | + | 0.127485i | ||||
\(923\) | −13.6129 | + | 4.76521i | −0.448073 | + | 0.156849i | ||||
\(924\) | 19.4938 | + | 47.3952i | 0.641299 | + | 1.55919i | ||||
\(925\) | 12.0722 | + | 6.96990i | 0.396932 | + | 0.229169i | ||||
\(926\) | 32.0459 | − | 16.7992i | 1.05309 | − | 0.552056i | ||||
\(927\) | −0.511167 | − | 2.40485i | −0.0167889 | − | 0.0789857i | ||||
\(928\) | −16.0783 | + | 11.8206i | −0.527797 | + | 0.388030i | ||||
\(929\) | −16.7004 | + | 37.5098i | −0.547923 | + | 1.23066i | 0.401270 | + | 0.915960i | \(0.368569\pi\) |
−0.949193 | + | 0.314695i | \(0.898098\pi\) | |||||||
\(930\) | 9.34941 | + | 3.46503i | 0.306579 | + | 0.113623i | ||||
\(931\) | −88.9994 | + | 28.9177i | −2.91684 | + | 0.947738i | ||||
\(932\) | 5.93327 | + | 16.9152i | 0.194351 | + | 0.554075i | ||||
\(933\) | −12.2684 | + | 5.46224i | −0.401649 | + | 0.178826i | ||||
\(934\) | −36.2357 | − | 17.9367i | −1.18567 | − | 0.586906i | ||||
\(935\) | 6.65008 | − | 17.3497i | 0.217481 | − | 0.567397i | ||||
\(936\) | −2.23100 | + | 1.30298i | −0.0729226 | + | 0.0425893i | ||||
\(937\) | 21.2191 | − | 29.2056i | 0.693198 | − | 0.954105i | −0.306800 | − | 0.951774i | \(-0.599258\pi\) |
0.999997 | − | 0.00233043i | \(-0.000741801\pi\) | |||||||
\(938\) | 9.54662 | − | 9.77069i | 0.311708 | − | 0.319024i | ||||
\(939\) | 4.09459 | − | 19.2635i | 0.133622 | − | 0.628642i | ||||
\(940\) | −1.80991 | + | 6.04390i | −0.0590326 | + | 0.197130i | ||||
\(941\) | −3.10050 | + | 2.25265i | −0.101073 | + | 0.0734341i | −0.637174 | − | 0.770720i | \(-0.719897\pi\) |
0.536101 | + | 0.844154i | \(0.319897\pi\) | |||||||
\(942\) | −18.4170 | − | 14.5633i | −0.600057 | − | 0.474499i | ||||
\(943\) | −5.73793 | − | 26.9949i | −0.186853 | − | 0.879074i | ||||
\(944\) | 13.1503 | + | 5.13814i | 0.428007 | + | 0.167232i | ||||
\(945\) | 17.2952 | − | 9.98541i | 0.562614 | − | 0.324825i | ||||
\(946\) | −2.14289 | + | 0.985302i | −0.0696715 | + | 0.0320349i | ||||
\(947\) | −11.4267 | + | 19.7916i | −0.371318 | + | 0.643142i | −0.989769 | − | 0.142682i | \(-0.954427\pi\) |
0.618450 | + | 0.785824i | \(0.287761\pi\) | |||||||
\(948\) | −0.0313782 | + | 0.0573827i | −0.00101912 | + | 0.00186370i | ||||
\(949\) | −14.0777 | − | 7.70967i | −0.456982 | − | 0.250266i | ||||
\(950\) | −36.4741 | + | 14.4887i | −1.18338 | + | 0.470075i | ||||
\(951\) | −1.98361 | − | 18.8728i | −0.0643230 | − | 0.611993i | ||||
\(952\) | 27.1715 | + | 88.9089i | 0.880633 | + | 2.88155i | ||||
\(953\) | −20.0768 | − | 18.0772i | −0.650351 | − | 0.585578i | 0.276498 | − | 0.961015i | \(-0.410826\pi\) |
−0.926848 | + | 0.375436i | \(0.877493\pi\) | |||||||
\(954\) | −0.419413 | + | 1.64118i | −0.0135790 | + | 0.0531353i | ||||
\(955\) | −2.06766 | + | 19.6724i | −0.0669078 | + | 0.636585i | ||||
\(956\) | 3.82850 | − | 2.91961i | 0.123823 | − | 0.0944271i | ||||
\(957\) | −19.3647 | − | 1.00524i | −0.625972 | − | 0.0324948i | ||||
\(958\) | −33.7590 | + | 22.4843i | −1.09070 | + | 0.726435i | ||||
\(959\) | −27.6474 | + | 12.3094i | −0.892780 | + | 0.397491i | ||||
\(960\) | 9.46726 | + | 4.62006i | 0.305554 | + | 0.149112i | ||||
\(961\) | −0.720715 | − | 2.21813i | −0.0232489 | − | 0.0715526i | ||||
\(962\) | −13.9400 | − | 8.39014i | −0.449443 | − | 0.270509i | ||||
\(963\) | 1.02351 | − | 0.743624i | 0.0329822 | − | 0.0239630i | ||||
\(964\) | 50.0903 | + | 4.09253i | 1.61330 | + | 0.131811i | ||||
\(965\) | 8.69346 | − | 7.82762i | 0.279852 | − | 0.251980i | ||||
\(966\) | 39.3638 | + | 1.60539i | 1.26651 | + | 0.0516527i | ||||
\(967\) | 41.8724i | 1.34653i | 0.739403 | + | 0.673263i | \(0.235108\pi\) | ||||
−0.739403 | + | 0.673263i | \(0.764892\pi\) | |||||||
\(968\) | 29.7452 | − | 9.12269i | 0.956047 | − | 0.293214i | ||||
\(969\) | −64.2850 | + | 37.1149i | −2.06513 | + | 1.19230i | ||||
\(970\) | −16.3739 | − | 10.3653i | −0.525734 | − | 0.332810i | ||||
\(971\) | −11.7933 | − | 55.4829i | −0.378464 | − | 1.78053i | −0.594446 | − | 0.804135i | \(-0.702629\pi\) |
0.215982 | − | 0.976397i | \(-0.430705\pi\) | |||||||
\(972\) | 0.427613 | − | 5.23375i | 0.0137157 | − | 0.167873i | ||||
\(973\) | 31.6039 | − | 3.32170i | 1.01317 | − | 0.106489i | ||||
\(974\) | 28.1081 | − | 23.3064i | 0.900641 | − | 0.746786i | ||||
\(975\) | 24.0817 | + | 10.0772i | 0.771231 | + | 0.322729i | ||||
\(976\) | 41.2411 | + | 2.40807i | 1.32010 | + | 0.0770806i | ||||
\(977\) | −10.4854 | − | 23.5506i | −0.335458 | − | 0.753451i | −0.999981 | − | 0.00618319i | \(-0.998032\pi\) |
0.664523 | − | 0.747268i | \(-0.268635\pi\) | |||||||
\(978\) | −42.4126 | − | 20.9943i | −1.35621 | − | 0.671323i | ||||
\(979\) | 39.2383 | − | 20.0174i | 1.25406 | − | 0.639759i | ||||
\(980\) | 2.98636 | + | 23.2185i | 0.0953957 | + | 0.741687i | ||||
\(981\) | 0.135984 | − | 1.29380i | 0.00434163 | − | 0.0413078i | ||||
\(982\) | 49.8895 | − | 13.9900i | 1.59204 | − | 0.446440i | ||||
\(983\) | 0.372030 | + | 1.14499i | 0.0118659 | + | 0.0365195i | 0.956814 | − | 0.290700i | \(-0.0938883\pi\) |
−0.944948 | + | 0.327220i | \(0.893888\pi\) | |||||||
\(984\) | −8.07463 | + | 34.9576i | −0.257410 | + | 1.11441i | ||||
\(985\) | −2.48845 | + | 0.261546i | −0.0792885 | + | 0.00833355i | ||||
\(986\) | −34.8052 | − | 5.09951i | −1.10842 | − | 0.162401i | ||||
\(987\) | 9.47865 | − | 29.1723i | 0.301709 | − | 0.928564i | ||||
\(988\) | 42.8722 | − | 16.1332i | 1.36395 | − | 0.513266i | ||||
\(989\) | 1.81314i | 0.0576545i | ||||||||
\(990\) | −0.394426 | − | 0.857821i | −0.0125357 | − | 0.0272633i | ||||
\(991\) | −9.66873 | − | 5.58224i | −0.307137 | − | 0.177326i | 0.338508 | − | 0.940964i | \(-0.390078\pi\) |
−0.645645 | + | 0.763638i | \(0.723411\pi\) | |||||||
\(992\) | 6.46408 | + | 29.5902i | 0.205235 | + | 0.939491i | ||||
\(993\) | −6.40875 | − | 2.08233i | −0.203376 | − | 0.0660807i | ||||
\(994\) | 20.6858 | + | 16.3574i | 0.656114 | + | 0.518826i | ||||
\(995\) | −6.69198 | − | 2.97946i | −0.212150 | − | 0.0944553i | ||||
\(996\) | 31.1547 | − | 29.3886i | 0.987174 | − | 0.931215i | ||||
\(997\) | 18.2615 | + | 16.4427i | 0.578347 | + | 0.520746i | 0.905568 | − | 0.424202i | \(-0.139445\pi\) |
−0.327221 | + | 0.944948i | \(0.606112\pi\) | |||||||
\(998\) | −21.9267 | − | 21.4238i | −0.694076 | − | 0.678159i | ||||
\(999\) | 15.7169 | − | 6.99761i | 0.497261 | − | 0.221395i |
(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 | 572.2.bn.a.95.13 | yes | 640 | |
4.3 | odd | 2 | inner | 572.2.bn.a.95.10 | ✓ | 640 | |
11.8 | odd | 10 | inner | 572.2.bn.a.459.36 | yes | 640 | |
13.10 | even | 6 | inner | 572.2.bn.a.491.40 | yes | 640 | |
44.19 | even | 10 | inner | 572.2.bn.a.459.40 | yes | 640 | |
52.23 | odd | 6 | inner | 572.2.bn.a.491.36 | yes | 640 | |
143.140 | odd | 30 | inner | 572.2.bn.a.283.10 | yes | 640 | |
572.283 | even | 30 | inner | 572.2.bn.a.283.13 | yes | 640 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
572.2.bn.a.95.10 | ✓ | 640 | 4.3 | odd | 2 | inner | |
572.2.bn.a.95.13 | yes | 640 | 1.1 | even | 1 | trivial | |
572.2.bn.a.283.10 | yes | 640 | 143.140 | odd | 30 | inner | |
572.2.bn.a.283.13 | yes | 640 | 572.283 | even | 30 | inner | |
572.2.bn.a.459.36 | yes | 640 | 11.8 | odd | 10 | inner | |
572.2.bn.a.459.40 | yes | 640 | 44.19 | even | 10 | inner | |
572.2.bn.a.491.36 | yes | 640 | 52.23 | odd | 6 | inner | |
572.2.bn.a.491.40 | yes | 640 | 13.10 | even | 6 | inner |