Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [342,2,Mod(155,342)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(342, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([3, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("342.155");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 342 = 2 \cdot 3^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 342.bf (of order \(18\), degree \(6\), 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: | \(2.73088374913\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 167.3 | ||
Character | \(\chi\) | \(=\) | 342.167 |
Dual form | 342.2.bf.b.299.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/342\mathbb{Z}\right)^\times\).
\(n\) | \(191\) | \(325\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{11}{18}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.173648 | + | 0.984808i | 0.122788 | + | 0.696364i | ||||
\(3\) | −0.435623 | − | 1.67637i | −0.251507 | − | 0.967856i | ||||
\(4\) | −0.939693 | + | 0.342020i | −0.469846 | + | 0.171010i | ||||
\(5\) | 1.21351 | − | 0.213975i | 0.542699 | − | 0.0956924i | 0.104423 | − | 0.994533i | \(-0.466700\pi\) |
0.438276 | + | 0.898841i | \(0.355589\pi\) | |||||||
\(6\) | 1.57526 | − | 0.720104i | 0.643098 | − | 0.293981i | ||||
\(7\) | 0.151553 | 0.0572815 | 0.0286407 | − | 0.999590i | \(-0.490882\pi\) | ||||
0.0286407 | + | 0.999590i | \(0.490882\pi\) | |||||||
\(8\) | −0.500000 | − | 0.866025i | −0.176777 | − | 0.306186i | ||||
\(9\) | −2.62047 | + | 1.46053i | −0.873489 | + | 0.486845i | ||||
\(10\) | 0.421448 | + | 1.15792i | 0.133274 | + | 0.366166i | ||||
\(11\) | 3.62692 | + | 2.09401i | 1.09356 | + | 0.631366i | 0.934522 | − | 0.355906i | \(-0.115828\pi\) |
0.159037 | + | 0.987273i | \(0.449161\pi\) | |||||||
\(12\) | 0.982705 | + | 1.42629i | 0.283683 | + | 0.411733i | ||||
\(13\) | 3.64204 | − | 4.34042i | 1.01012 | − | 1.20381i | 0.0312127 | − | 0.999513i | \(-0.490063\pi\) |
0.978908 | − | 0.204302i | \(-0.0654925\pi\) | |||||||
\(14\) | 0.0263168 | + | 0.149250i | 0.00703347 | + | 0.0398888i | ||||
\(15\) | −0.887335 | − | 1.94109i | −0.229109 | − | 0.501187i | ||||
\(16\) | 0.766044 | − | 0.642788i | 0.191511 | − | 0.160697i | ||||
\(17\) | 1.59461 | − | 4.38114i | 0.386749 | − | 1.06258i | −0.581707 | − | 0.813398i | \(-0.697615\pi\) |
0.968456 | − | 0.249185i | \(-0.0801628\pi\) | |||||||
\(18\) | −1.89338 | − | 2.32704i | −0.446275 | − | 0.548488i | ||||
\(19\) | 2.66011 | − | 3.45309i | 0.610270 | − | 0.792193i | ||||
\(20\) | −1.06714 | + | 0.616116i | −0.238621 | + | 0.137768i | ||||
\(21\) | −0.0660197 | − | 0.254059i | −0.0144067 | − | 0.0554402i | ||||
\(22\) | −1.43238 | + | 3.93544i | −0.305385 | + | 0.839039i | ||||
\(23\) | −2.14469 | − | 5.89249i | −0.447199 | − | 1.22867i | −0.934666 | − | 0.355528i | \(-0.884301\pi\) |
0.487467 | − | 0.873142i | \(-0.337921\pi\) | |||||||
\(24\) | −1.23397 | + | 1.21545i | −0.251883 | + | 0.248102i | ||||
\(25\) | −3.27164 | + | 1.19078i | −0.654328 | + | 0.238156i | ||||
\(26\) | 4.90691 | + | 2.83301i | 0.962324 | + | 0.555598i | ||||
\(27\) | 3.58994 | + | 3.75664i | 0.690884 | + | 0.722966i | ||||
\(28\) | −0.142413 | + | 0.0518340i | −0.0269135 | + | 0.00979571i | ||||
\(29\) | 6.63553 | + | 5.56787i | 1.23219 | + | 1.03393i | 0.998094 | + | 0.0617125i | \(0.0196562\pi\) |
0.234092 | + | 0.972214i | \(0.424788\pi\) | |||||||
\(30\) | 1.75751 | − | 1.21092i | 0.320877 | − | 0.221083i | ||||
\(31\) | −7.82660 | + | 4.51869i | −1.40570 | + | 0.811581i | −0.994970 | − | 0.100177i | \(-0.968059\pi\) |
−0.410729 | + | 0.911757i | \(0.634726\pi\) | |||||||
\(32\) | 0.766044 | + | 0.642788i | 0.135419 | + | 0.113630i | ||||
\(33\) | 1.93037 | − | 6.99228i | 0.336034 | − | 1.21720i | ||||
\(34\) | 4.59149 | + | 0.809603i | 0.787433 | + | 0.138846i | ||||
\(35\) | 0.183911 | − | 0.0324284i | 0.0310866 | − | 0.00548140i | ||||
\(36\) | 1.96290 | − | 2.26870i | 0.327150 | − | 0.378117i | ||||
\(37\) | 3.92690i | 0.645578i | 0.946471 | + | 0.322789i | \(0.104620\pi\) | ||||
−0.946471 | + | 0.322789i | \(0.895380\pi\) | |||||||
\(38\) | 3.86255 | + | 2.02007i | 0.626589 | + | 0.327699i | ||||
\(39\) | −8.86272 | − | 4.21464i | −1.41917 | − | 0.674883i | ||||
\(40\) | −0.792063 | − | 0.943944i | −0.125236 | − | 0.149251i | ||||
\(41\) | 11.2328 | + | 4.08841i | 1.75427 | + | 0.638502i | 0.999840 | − | 0.0178788i | \(-0.00569130\pi\) |
0.754430 | + | 0.656381i | \(0.227914\pi\) | |||||||
\(42\) | 0.238735 | − | 0.109134i | 0.0368376 | − | 0.0168397i | ||||
\(43\) | −5.90711 | − | 2.15001i | −0.900825 | − | 0.327874i | −0.150242 | − | 0.988649i | \(-0.548005\pi\) |
−0.750583 | + | 0.660776i | \(0.770227\pi\) | |||||||
\(44\) | −4.12439 | − | 0.727240i | −0.621774 | − | 0.109636i | ||||
\(45\) | −2.86745 | + | 2.33309i | −0.427454 | + | 0.347796i | ||||
\(46\) | 5.43055 | − | 3.13533i | 0.800691 | − | 0.462279i | ||||
\(47\) | −2.03231 | + | 2.42202i | −0.296444 | + | 0.353288i | −0.893622 | − | 0.448821i | \(-0.851844\pi\) |
0.597178 | + | 0.802109i | \(0.296289\pi\) | |||||||
\(48\) | −1.41126 | − | 1.00416i | −0.203698 | − | 0.144939i | ||||
\(49\) | −6.97703 | −0.996719 | ||||||||
\(50\) | −1.74080 | − | 3.01516i | −0.246187 | − | 0.426408i | ||||
\(51\) | −8.03909 | − | 0.764632i | −1.12570 | − | 0.107070i | ||||
\(52\) | −1.93789 | + | 5.32431i | −0.268737 | + | 0.738349i | ||||
\(53\) | 4.00225 | + | 3.35828i | 0.549751 | + | 0.461296i | 0.874857 | − | 0.484382i | \(-0.160955\pi\) |
−0.325106 | + | 0.945678i | \(0.605400\pi\) | |||||||
\(54\) | −3.07618 | + | 4.18773i | −0.418616 | + | 0.569878i | ||||
\(55\) | 4.84938 | + | 1.76503i | 0.653890 | + | 0.237996i | ||||
\(56\) | −0.0757763 | − | 0.131248i | −0.0101260 | − | 0.0175388i | ||||
\(57\) | −6.94748 | − | 2.95509i | −0.920216 | − | 0.391411i | ||||
\(58\) | −4.33103 | + | 7.50157i | −0.568692 | + | 0.985004i | ||||
\(59\) | −5.32150 | + | 4.46527i | −0.692800 | + | 0.581328i | −0.919715 | − | 0.392586i | \(-0.871580\pi\) |
0.226915 | + | 0.973915i | \(0.427136\pi\) | |||||||
\(60\) | 1.49771 | + | 1.52054i | 0.193354 | + | 0.196301i | ||||
\(61\) | 0.197824 | − | 1.12192i | 0.0253288 | − | 0.143647i | −0.969521 | − | 0.245009i | \(-0.921209\pi\) |
0.994850 | + | 0.101362i | \(0.0323202\pi\) | |||||||
\(62\) | −5.80912 | − | 6.92303i | −0.737758 | − | 0.879226i | ||||
\(63\) | −0.397138 | + | 0.221348i | −0.0500347 | + | 0.0278872i | ||||
\(64\) | −0.500000 | + | 0.866025i | −0.0625000 | + | 0.108253i | ||||
\(65\) | 3.49092 | − | 6.04645i | 0.432995 | − | 0.749970i | ||||
\(66\) | 7.22126 | + | 0.686845i | 0.888875 | + | 0.0845448i | ||||
\(67\) | −10.8904 | − | 1.92027i | −1.33047 | − | 0.234598i | −0.537194 | − | 0.843459i | \(-0.680516\pi\) |
−0.793277 | + | 0.608861i | \(0.791627\pi\) | |||||||
\(68\) | 4.66232i | 0.565389i | ||||||||
\(69\) | −8.94375 | + | 6.16221i | −1.07670 | + | 0.741843i | ||||
\(70\) | 0.0638715 | + | 0.175486i | 0.00763411 | + | 0.0209745i | ||||
\(71\) | −1.44787 | + | 1.21491i | −0.171830 | + | 0.144183i | −0.724647 | − | 0.689120i | \(-0.757997\pi\) |
0.552817 | + | 0.833303i | \(0.313553\pi\) | |||||||
\(72\) | 2.57509 | + | 1.53912i | 0.303478 | + | 0.181387i | ||||
\(73\) | 1.66614 | + | 9.44917i | 0.195007 | + | 1.10594i | 0.912408 | + | 0.409281i | \(0.134220\pi\) |
−0.717401 | + | 0.696660i | \(0.754669\pi\) | |||||||
\(74\) | −3.86724 | + | 0.681899i | −0.449558 | + | 0.0792692i | ||||
\(75\) | 3.42139 | + | 4.96576i | 0.395068 | + | 0.573397i | ||||
\(76\) | −1.31865 | + | 4.15465i | −0.151260 | + | 0.476571i | ||||
\(77\) | 0.549669 | + | 0.317352i | 0.0626407 | + | 0.0361656i | ||||
\(78\) | 2.61162 | − | 9.45994i | 0.295708 | − | 1.07113i | ||||
\(79\) | 0.395741 | + | 0.471626i | 0.0445244 | + | 0.0530621i | 0.787847 | − | 0.615871i | \(-0.211196\pi\) |
−0.743323 | + | 0.668933i | \(0.766751\pi\) | |||||||
\(80\) | 0.792063 | − | 0.943944i | 0.0885554 | − | 0.105536i | ||||
\(81\) | 4.73368 | − | 7.65456i | 0.525965 | − | 0.850506i | ||||
\(82\) | −2.07574 | + | 11.7721i | −0.229227 | + | 1.30001i | ||||
\(83\) | − | 11.5902i | − | 1.27219i | −0.771610 | − | 0.636096i | \(-0.780548\pi\) | ||
0.771610 | − | 0.636096i | \(-0.219452\pi\) | |||||||
\(84\) | 0.148931 | + | 0.216157i | 0.0162498 | + | 0.0235847i | ||||
\(85\) | 0.997618 | − | 5.65777i | 0.108207 | − | 0.613672i | ||||
\(86\) | 1.09159 | − | 6.19071i | 0.117709 | − | 0.667561i | ||||
\(87\) | 6.44325 | − | 13.5491i | 0.690789 | − | 1.45262i | ||||
\(88\) | − | 4.18801i | − | 0.446443i | ||||||
\(89\) | −0.130167 | + | 0.738215i | −0.0137977 | + | 0.0782506i | −0.990929 | − | 0.134386i | \(-0.957094\pi\) |
0.977131 | + | 0.212636i | \(0.0682050\pi\) | |||||||
\(90\) | −2.79557 | − | 2.41875i | −0.294679 | − | 0.254958i | ||||
\(91\) | 0.551961 | − | 0.657801i | 0.0578612 | − | 0.0689563i | ||||
\(92\) | 4.03070 | + | 4.80360i | 0.420230 | + | 0.500810i | ||||
\(93\) | 10.9845 | + | 11.1519i | 1.13904 | + | 1.15640i | ||||
\(94\) | −2.73813 | − | 1.58086i | −0.282417 | − | 0.163053i | ||||
\(95\) | 2.48919 | − | 4.75956i | 0.255386 | − | 0.488321i | ||||
\(96\) | 0.743847 | − | 1.56419i | 0.0759185 | − | 0.159645i | ||||
\(97\) | 6.90956 | − | 1.21834i | 0.701560 | − | 0.123704i | 0.188521 | − | 0.982069i | \(-0.439631\pi\) |
0.513039 | + | 0.858365i | \(0.328520\pi\) | |||||||
\(98\) | −1.21155 | − | 6.87104i | −0.122385 | − | 0.694079i | ||||
\(99\) | −12.5626 | − | 0.190026i | −1.26259 | − | 0.0190983i | ||||
\(100\) | 2.66706 | − | 2.23793i | 0.266706 | − | 0.223793i | ||||
\(101\) | −1.10437 | − | 3.03424i | −0.109889 | − | 0.301918i | 0.872543 | − | 0.488537i | \(-0.162469\pi\) |
−0.982432 | + | 0.186619i | \(0.940247\pi\) | |||||||
\(102\) | −0.642957 | − | 8.04973i | −0.0636622 | − | 0.797042i | ||||
\(103\) | − | 0.361476i | − | 0.0356172i | −0.999841 | − | 0.0178086i | \(-0.994331\pi\) | ||
0.999841 | − | 0.0178086i | \(-0.00566896\pi\) | |||||||
\(104\) | −5.57993 | − | 0.983892i | −0.547157 | − | 0.0964786i | ||||
\(105\) | −0.134478 | − | 0.294177i | −0.0131237 | − | 0.0287087i | ||||
\(106\) | −2.61228 | + | 4.52460i | −0.253727 | + | 0.439468i | ||||
\(107\) | −7.90423 | + | 13.6905i | −0.764130 | + | 1.32351i | 0.176575 | + | 0.984287i | \(0.443498\pi\) |
−0.940705 | + | 0.339225i | \(0.889835\pi\) | |||||||
\(108\) | −4.65828 | − | 2.30226i | −0.448244 | − | 0.221535i | ||||
\(109\) | −7.48615 | − | 8.92164i | −0.717043 | − | 0.854539i | 0.277297 | − | 0.960784i | \(-0.410561\pi\) |
−0.994340 | + | 0.106246i | \(0.966117\pi\) | |||||||
\(110\) | −0.896129 | + | 5.08220i | −0.0854425 | + | 0.484569i | ||||
\(111\) | 6.58296 | − | 1.71065i | 0.624827 | − | 0.162367i | ||||
\(112\) | 0.116096 | − | 0.0974161i | 0.0109700 | − | 0.00920496i | ||||
\(113\) | −3.56971 | + | 6.18292i | −0.335810 | + | 0.581640i | −0.983640 | − | 0.180145i | \(-0.942343\pi\) |
0.647830 | + | 0.761785i | \(0.275677\pi\) | |||||||
\(114\) | 1.70378 | − | 7.35508i | 0.159573 | − | 0.688866i | ||||
\(115\) | −3.86345 | − | 6.69170i | −0.360269 | − | 0.624004i | ||||
\(116\) | −8.13968 | − | 2.96260i | −0.755750 | − | 0.275071i | ||||
\(117\) | −3.20452 | + | 16.6932i | −0.296258 | + | 1.54329i | ||||
\(118\) | −5.32150 | − | 4.46527i | −0.489884 | − | 0.411061i | ||||
\(119\) | 0.241667 | − | 0.663974i | 0.0221535 | − | 0.0608664i | ||||
\(120\) | −1.23736 | + | 1.73900i | −0.112955 | + | 0.158748i | ||||
\(121\) | 3.26972 | + | 5.66332i | 0.297247 | + | 0.514847i | ||||
\(122\) | 1.13922 | 0.103140 | ||||||||
\(123\) | 1.96044 | − | 20.6114i | 0.176767 | − | 1.85847i | ||||
\(124\) | 5.80912 | − | 6.92303i | 0.521674 | − | 0.621707i | ||||
\(125\) | −9.05109 | + | 5.22565i | −0.809554 | + | 0.467396i | ||||
\(126\) | −0.286947 | − | 0.352668i | −0.0255633 | − | 0.0314182i | ||||
\(127\) | 5.46567 | + | 0.963745i | 0.485000 | + | 0.0855185i | 0.410801 | − | 0.911725i | \(-0.365249\pi\) |
0.0741985 | + | 0.997243i | \(0.476360\pi\) | |||||||
\(128\) | −0.939693 | − | 0.342020i | −0.0830579 | − | 0.0302306i | ||||
\(129\) | −1.03096 | + | 10.8391i | −0.0907706 | + | 0.954331i | ||||
\(130\) | 6.56078 | + | 2.38793i | 0.575419 | + | 0.209435i | ||||
\(131\) | 1.26981 | + | 1.51330i | 0.110944 | + | 0.132218i | 0.818659 | − | 0.574281i | \(-0.194718\pi\) |
−0.707714 | + | 0.706499i | \(0.750274\pi\) | |||||||
\(132\) | 0.577548 | + | 7.23082i | 0.0502691 | + | 0.629362i | ||||
\(133\) | 0.403146 | − | 0.523325i | 0.0349572 | − | 0.0453780i | ||||
\(134\) | − | 11.0584i | − | 0.955298i | ||||||
\(135\) | 5.16026 | + | 3.79057i | 0.444124 | + | 0.326240i | ||||
\(136\) | −4.59149 | + | 0.809603i | −0.393717 | + | 0.0694229i | ||||
\(137\) | 4.32076 | + | 0.761866i | 0.369147 | + | 0.0650906i | 0.355145 | − | 0.934811i | \(-0.384432\pi\) |
0.0140026 | + | 0.999902i | \(0.495543\pi\) | |||||||
\(138\) | −7.62166 | − | 7.73782i | −0.648799 | − | 0.658687i | ||||
\(139\) | 16.7968 | + | 14.0942i | 1.42469 | + | 1.19546i | 0.948770 | + | 0.315968i | \(0.102329\pi\) |
0.475920 | + | 0.879488i | \(0.342115\pi\) | |||||||
\(140\) | −0.161728 | + | 0.0933739i | −0.0136685 | + | 0.00789154i | ||||
\(141\) | 4.94553 | + | 2.35184i | 0.416489 | + | 0.198060i | ||||
\(142\) | −1.44787 | − | 1.21491i | −0.121503 | − | 0.101953i | ||||
\(143\) | 22.2983 | − | 8.11590i | 1.86467 | − | 0.678686i | ||||
\(144\) | −1.06858 | + | 2.80324i | −0.0890484 | + | 0.233603i | ||||
\(145\) | 9.24367 | + | 5.33683i | 0.767645 | + | 0.443200i | ||||
\(146\) | −9.01629 | + | 3.28166i | −0.746193 | + | 0.271592i | ||||
\(147\) | 3.03935 | + | 11.6961i | 0.250682 | + | 0.964680i | ||||
\(148\) | −1.34308 | − | 3.69008i | −0.110400 | − | 0.303323i | ||||
\(149\) | 0.672112 | − | 1.84661i | 0.0550616 | − | 0.151280i | −0.909113 | − | 0.416551i | \(-0.863239\pi\) |
0.964174 | + | 0.265270i | \(0.0854611\pi\) | |||||||
\(150\) | −4.29620 | + | 4.23171i | −0.350784 | + | 0.345518i | ||||
\(151\) | −5.98969 | + | 3.45815i | −0.487434 | + | 0.281420i | −0.723509 | − | 0.690315i | \(-0.757472\pi\) |
0.236075 | + | 0.971735i | \(0.424139\pi\) | |||||||
\(152\) | −4.32052 | − | 0.577173i | −0.350440 | − | 0.0468149i | ||||
\(153\) | 2.22020 | + | 13.8096i | 0.179492 | + | 1.11644i | ||||
\(154\) | −0.217081 | + | 0.596426i | −0.0174929 | + | 0.0480614i | ||||
\(155\) | −8.53078 | + | 7.15818i | −0.685209 | + | 0.574959i | ||||
\(156\) | 9.76973 | + | 0.929241i | 0.782204 | + | 0.0743988i | ||||
\(157\) | −3.26113 | − | 18.4948i | −0.260266 | − | 1.47604i | −0.782184 | − | 0.623048i | \(-0.785894\pi\) |
0.521918 | − | 0.852996i | \(-0.325217\pi\) | |||||||
\(158\) | −0.395741 | + | 0.471626i | −0.0314835 | + | 0.0375206i | ||||
\(159\) | 3.88627 | − | 8.17221i | 0.308202 | − | 0.648098i | ||||
\(160\) | 1.06714 | + | 0.616116i | 0.0843651 | + | 0.0487082i | ||||
\(161\) | −0.325033 | − | 0.893022i | −0.0256162 | − | 0.0703800i | ||||
\(162\) | 8.36026 | + | 3.33257i | 0.656844 | + | 0.261831i | ||||
\(163\) | 5.76968 | + | 9.99338i | 0.451916 | + | 0.782742i | 0.998505 | − | 0.0546590i | \(-0.0174072\pi\) |
−0.546589 | + | 0.837401i | \(0.684074\pi\) | |||||||
\(164\) | −11.9537 | −0.933428 | ||||||||
\(165\) | 0.846352 | − | 8.89826i | 0.0658884 | − | 0.692729i | ||||
\(166\) | 11.4141 | − | 2.01262i | 0.885908 | − | 0.156210i | ||||
\(167\) | 4.12875 | − | 1.50274i | 0.319492 | − | 0.116286i | −0.177296 | − | 0.984158i | \(-0.556735\pi\) |
0.496788 | + | 0.867872i | \(0.334513\pi\) | |||||||
\(168\) | −0.187012 | + | 0.184204i | −0.0144283 | + | 0.0142117i | ||||
\(169\) | −3.31732 | − | 18.8135i | −0.255178 | − | 1.44719i | ||||
\(170\) | 5.74505 | 0.440626 | ||||||||
\(171\) | −1.92736 | + | 12.9339i | −0.147389 | + | 0.989079i | ||||
\(172\) | 6.28621 | 0.479319 | ||||||||
\(173\) | −1.51717 | − | 8.60430i | −0.115348 | − | 0.654173i | −0.986577 | − | 0.163296i | \(-0.947787\pi\) |
0.871229 | − | 0.490877i | \(-0.163324\pi\) | |||||||
\(174\) | 14.4621 | + | 3.99258i | 1.09637 | + | 0.302677i | ||||
\(175\) | −0.495825 | + | 0.180466i | −0.0374809 | + | 0.0136419i | ||||
\(176\) | 4.12439 | − | 0.727240i | 0.310887 | − | 0.0548178i | ||||
\(177\) | 9.80363 | + | 6.97566i | 0.736886 | + | 0.524323i | ||||
\(178\) | −0.749603 | −0.0561851 | ||||||||
\(179\) | 4.37844 | + | 7.58368i | 0.327260 | + | 0.566831i | 0.981967 | − | 0.189052i | \(-0.0605413\pi\) |
−0.654707 | + | 0.755883i | \(0.727208\pi\) | |||||||
\(180\) | 1.89656 | − | 3.17311i | 0.141361 | − | 0.236510i | ||||
\(181\) | 2.66248 | + | 7.31510i | 0.197900 | + | 0.543727i | 0.998457 | − | 0.0555303i | \(-0.0176849\pi\) |
−0.800557 | + | 0.599257i | \(0.795463\pi\) | |||||||
\(182\) | 0.743655 | + | 0.429349i | 0.0551233 | + | 0.0318255i | ||||
\(183\) | −1.96693 | + | 0.157105i | −0.145400 | + | 0.0116135i | ||||
\(184\) | −4.03070 | + | 4.80360i | −0.297147 | + | 0.354126i | ||||
\(185\) | 0.840258 | + | 4.76534i | 0.0617770 | + | 0.350355i | ||||
\(186\) | −9.07502 | + | 12.7541i | −0.665413 | + | 0.935175i | ||||
\(187\) | 14.9577 | − | 12.5510i | 1.09381 | − | 0.917817i | ||||
\(188\) | 1.08137 | − | 2.97105i | 0.0788672 | − | 0.216686i | ||||
\(189\) | 0.544064 | + | 0.569329i | 0.0395748 | + | 0.0414126i | ||||
\(190\) | 5.11950 | + | 1.62489i | 0.371407 | + | 0.117882i | ||||
\(191\) | −15.9194 | + | 9.19105i | −1.15188 | + | 0.665041i | −0.949346 | − | 0.314233i | \(-0.898253\pi\) |
−0.202539 | + | 0.979274i | \(0.564919\pi\) | |||||||
\(192\) | 1.66959 | + | 0.460927i | 0.120493 | + | 0.0332646i | ||||
\(193\) | −2.62862 | + | 7.22206i | −0.189212 | + | 0.519855i | −0.997634 | − | 0.0687476i | \(-0.978100\pi\) |
0.808422 | + | 0.588603i | \(0.200322\pi\) | |||||||
\(194\) | 2.39967 | + | 6.59303i | 0.172286 | + | 0.473352i | ||||
\(195\) | −11.6568 | − | 3.21812i | −0.834764 | − | 0.230454i | ||||
\(196\) | 6.55627 | − | 2.38629i | 0.468305 | − | 0.170449i | ||||
\(197\) | −4.17254 | − | 2.40902i | −0.297281 | − | 0.171635i | 0.343940 | − | 0.938992i | \(-0.388238\pi\) |
−0.641221 | + | 0.767356i | \(0.721572\pi\) | |||||||
\(198\) | −1.99433 | − | 12.4047i | −0.141731 | − | 0.881566i | ||||
\(199\) | −11.8378 | + | 4.30860i | −0.839159 | + | 0.305429i | −0.725612 | − | 0.688104i | \(-0.758443\pi\) |
−0.113547 | + | 0.993533i | \(0.536221\pi\) | |||||||
\(200\) | 2.66706 | + | 2.23793i | 0.188590 | + | 0.158246i | ||||
\(201\) | 1.52501 | + | 19.0929i | 0.107566 | + | 1.34671i | ||||
\(202\) | 2.79637 | − | 1.61449i | 0.196752 | − | 0.113595i | ||||
\(203\) | 1.00563 | + | 0.843824i | 0.0705814 | + | 0.0592249i | ||||
\(204\) | 7.81579 | − | 2.03101i | 0.547215 | − | 0.142199i | ||||
\(205\) | 14.5060 | + | 2.55779i | 1.01314 | + | 0.178644i | ||||
\(206\) | 0.355984 | − | 0.0627696i | 0.0248026 | − | 0.00437336i | ||||
\(207\) | 14.2263 | + | 12.3087i | 0.988794 | + | 0.855512i | ||||
\(208\) | − | 5.66601i | − | 0.392867i | ||||||
\(209\) | 16.8788 | − | 6.95382i | 1.16753 | − | 0.481006i | ||||
\(210\) | 0.266356 | − | 0.183518i | 0.0183803 | − | 0.0126640i | ||||
\(211\) | −6.74580 | − | 8.03934i | −0.464400 | − | 0.553451i | 0.482116 | − | 0.876108i | \(-0.339868\pi\) |
−0.946516 | + | 0.322657i | \(0.895424\pi\) | |||||||
\(212\) | −4.90948 | − | 1.78691i | −0.337185 | − | 0.122725i | ||||
\(213\) | 2.66736 | + | 1.89793i | 0.182765 | + | 0.130044i | ||||
\(214\) | −14.8551 | − | 5.40681i | −1.01547 | − | 0.369602i | ||||
\(215\) | −7.62839 | − | 1.34509i | −0.520252 | − | 0.0917344i | ||||
\(216\) | 1.45838 | − | 4.98730i | 0.0992301 | − | 0.339343i | ||||
\(217\) | −1.18614 | + | 0.684819i | −0.0805205 | + | 0.0464885i | ||||
\(218\) | 7.48615 | − | 8.92164i | 0.507026 | − | 0.604250i | ||||
\(219\) | 15.1145 | − | 6.90935i | 1.02135 | − | 0.466891i | ||||
\(220\) | −5.16060 | −0.347928 | ||||||||
\(221\) | −13.2084 | − | 22.8776i | −0.888491 | − | 1.53891i | ||||
\(222\) | 2.82778 | + | 6.18590i | 0.189788 | + | 0.415170i | ||||
\(223\) | 4.64461 | − | 12.7610i | 0.311026 | − | 0.854537i | −0.681424 | − | 0.731889i | \(-0.738639\pi\) |
0.992450 | − | 0.122648i | \(-0.0391387\pi\) | |||||||
\(224\) | 0.116096 | + | 0.0974161i | 0.00775699 | + | 0.00650889i | ||||
\(225\) | 6.83404 | − | 7.89873i | 0.455603 | − | 0.526582i | ||||
\(226\) | −6.70886 | − | 2.44183i | −0.446267 | − | 0.162428i | ||||
\(227\) | −3.96772 | − | 6.87229i | −0.263347 | − | 0.456130i | 0.703782 | − | 0.710416i | \(-0.251493\pi\) |
−0.967129 | + | 0.254286i | \(0.918160\pi\) | |||||||
\(228\) | 7.53919 | + | 0.400699i | 0.499295 | + | 0.0265369i | ||||
\(229\) | −8.53888 | + | 14.7898i | −0.564265 | + | 0.977336i | 0.432852 | + | 0.901465i | \(0.357507\pi\) |
−0.997118 | + | 0.0758711i | \(0.975826\pi\) | |||||||
\(230\) | 5.91915 | − | 4.96676i | 0.390297 | − | 0.327498i | ||||
\(231\) | 0.292552 | − | 1.05970i | 0.0192485 | − | 0.0697230i | ||||
\(232\) | 1.50415 | − | 8.53047i | 0.0987524 | − | 0.560053i | ||||
\(233\) | 14.3087 | + | 17.0524i | 0.937394 | + | 1.11714i | 0.992932 | + | 0.118686i | \(0.0378681\pi\) |
−0.0555380 | + | 0.998457i | \(0.517687\pi\) | |||||||
\(234\) | −16.9961 | − | 0.257088i | −1.11107 | − | 0.0168064i | ||||
\(235\) | −1.94799 | + | 3.37401i | −0.127073 | + | 0.220096i | ||||
\(236\) | 3.47336 | − | 6.01604i | 0.226097 | − | 0.391611i | ||||
\(237\) | 0.618228 | − | 0.868862i | 0.0401583 | − | 0.0564386i | ||||
\(238\) | 0.695851 | + | 0.122697i | 0.0451053 | + | 0.00795329i | ||||
\(239\) | − | 18.0802i | − | 1.16951i | −0.811210 | − | 0.584754i | \(-0.801191\pi\) | ||
0.811210 | − | 0.584754i | \(-0.198809\pi\) | |||||||
\(240\) | −1.92745 | − | 0.916592i | −0.124416 | − | 0.0591657i | ||||
\(241\) | −4.35941 | − | 11.9774i | −0.280814 | − | 0.771531i | −0.997266 | − | 0.0738946i | \(-0.976457\pi\) |
0.716452 | − | 0.697637i | \(-0.245765\pi\) | |||||||
\(242\) | −5.00950 | + | 4.20347i | −0.322023 | + | 0.270209i | ||||
\(243\) | −14.8940 | − | 4.60093i | −0.955451 | − | 0.295150i | ||||
\(244\) | 0.197824 | + | 1.12192i | 0.0126644 | + | 0.0718233i | ||||
\(245\) | −8.46671 | + | 1.49291i | −0.540918 | + | 0.0953785i | ||||
\(246\) | 20.6387 | − | 1.64848i | 1.31588 | − | 0.105103i | ||||
\(247\) | −5.29964 | − | 24.1223i | −0.337208 | − | 1.53486i | ||||
\(248\) | 7.82660 | + | 4.51869i | 0.496990 | + | 0.286937i | ||||
\(249\) | −19.4295 | + | 5.04896i | −1.23130 | + | 0.319965i | ||||
\(250\) | −6.71797 | − | 8.00616i | −0.424882 | − | 0.506354i | ||||
\(251\) | −2.31257 | + | 2.75602i | −0.145968 | + | 0.173958i | −0.834075 | − | 0.551652i | \(-0.813998\pi\) |
0.688106 | + | 0.725610i | \(0.258442\pi\) | |||||||
\(252\) | 0.297483 | − | 0.343828i | 0.0187396 | − | 0.0216591i | ||||
\(253\) | 4.56028 | − | 25.8626i | 0.286702 | − | 1.62597i | ||||
\(254\) | 5.54999i | 0.348237i | ||||||||
\(255\) | −9.91914 | + | 0.792272i | −0.621160 | + | 0.0496140i | ||||
\(256\) | 0.173648 | − | 0.984808i | 0.0108530 | − | 0.0615505i | ||||
\(257\) | −4.94891 | + | 28.0667i | −0.308705 | + | 1.75075i | 0.296829 | + | 0.954931i | \(0.404071\pi\) |
−0.605533 | + | 0.795820i | \(0.707040\pi\) | |||||||
\(258\) | −10.8535 | + | 0.866900i | −0.675708 | + | 0.0539708i | ||||
\(259\) | 0.595132i | 0.0369797i | ||||||||
\(260\) | −1.21238 | + | 6.87577i | −0.0751888 | + | 0.426417i | ||||
\(261\) | −25.5202 | − | 4.89900i | −1.57966 | − | 0.303240i | ||||
\(262\) | −1.26981 | + | 1.51330i | −0.0784493 | + | 0.0934923i | ||||
\(263\) | 2.73531 | + | 3.25981i | 0.168666 | + | 0.201009i | 0.843756 | − | 0.536727i | \(-0.180340\pi\) |
−0.675090 | + | 0.737736i | \(0.735895\pi\) | |||||||
\(264\) | −7.02068 | + | 1.82439i | −0.432093 | + | 0.112284i | ||||
\(265\) | 5.57536 | + | 3.21894i | 0.342492 | + | 0.197738i | ||||
\(266\) | 0.585380 | + | 0.306147i | 0.0358919 | + | 0.0187711i | ||||
\(267\) | 1.29423 | − | 0.103374i | 0.0792055 | − | 0.00632639i | ||||
\(268\) | 10.8904 | − | 1.92027i | 0.665236 | − | 0.117299i | ||||
\(269\) | 4.10283 | + | 23.2683i | 0.250154 | + | 1.41869i | 0.808212 | + | 0.588891i | \(0.200435\pi\) |
−0.558058 | + | 0.829802i | \(0.688454\pi\) | |||||||
\(270\) | −2.83692 | + | 5.74009i | −0.172649 | + | 0.349330i | ||||
\(271\) | 24.4569 | − | 20.5218i | 1.48565 | − | 1.24661i | 0.585770 | − | 0.810478i | \(-0.300792\pi\) |
0.899882 | − | 0.436132i | \(-0.143652\pi\) | |||||||
\(272\) | −1.59461 | − | 4.38114i | −0.0966872 | − | 0.265646i | ||||
\(273\) | −1.34317 | − | 0.638740i | −0.0812922 | − | 0.0386583i | ||||
\(274\) | 4.38741i | 0.265053i | ||||||||
\(275\) | −14.3595 | − | 2.53196i | −0.865909 | − | 0.152683i | ||||
\(276\) | 6.29678 | − | 8.84953i | 0.379021 | − | 0.532679i | ||||
\(277\) | −2.15381 | + | 3.73051i | −0.129410 | + | 0.224144i | −0.923448 | − | 0.383723i | \(-0.874642\pi\) |
0.794038 | + | 0.607868i | \(0.207975\pi\) | |||||||
\(278\) | −10.9634 | + | 18.9891i | −0.657539 | + | 1.13889i | ||||
\(279\) | 13.9096 | − | 23.2721i | 0.832748 | − | 1.39326i | ||||
\(280\) | −0.120039 | − | 0.143057i | −0.00717371 | − | 0.00854930i | ||||
\(281\) | 2.07535 | − | 11.7699i | 0.123805 | − | 0.702132i | −0.858206 | − | 0.513306i | \(-0.828421\pi\) |
0.982011 | − | 0.188826i | \(-0.0604682\pi\) | |||||||
\(282\) | −1.45732 | + | 5.27879i | −0.0867823 | + | 0.314347i | ||||
\(283\) | 1.23232 | − | 1.03404i | 0.0732536 | − | 0.0614671i | −0.605426 | − | 0.795902i | \(-0.706997\pi\) |
0.678679 | + | 0.734435i | \(0.262553\pi\) | |||||||
\(284\) | 0.945030 | − | 1.63684i | 0.0560772 | − | 0.0971286i | ||||
\(285\) | −9.06316 | − | 2.09945i | −0.536855 | − | 0.124361i | ||||
\(286\) | 11.8647 | + | 20.5502i | 0.701572 | + | 1.21516i | ||||
\(287\) | 1.70236 | + | 0.619609i | 0.100487 | + | 0.0365743i | ||||
\(288\) | −2.94621 | − | 0.565569i | −0.173607 | − | 0.0333265i | ||||
\(289\) | −3.62890 | − | 3.04501i | −0.213465 | − | 0.179118i | ||||
\(290\) | −3.65061 | + | 10.0300i | −0.214371 | + | 0.588980i | ||||
\(291\) | −5.05236 | − | 11.0523i | −0.296174 | − | 0.647896i | ||||
\(292\) | −4.79747 | − | 8.30946i | −0.280751 | − | 0.486274i | ||||
\(293\) | 4.13384 | 0.241502 | 0.120751 | − | 0.992683i | \(-0.461470\pi\) | ||||
0.120751 | + | 0.992683i | \(0.461470\pi\) | |||||||
\(294\) | −10.9907 | + | 5.02419i | −0.640988 | + | 0.293017i | ||||
\(295\) | −5.50225 | + | 6.55732i | −0.320353 | + | 0.381782i | ||||
\(296\) | 3.40080 | − | 1.96345i | 0.197667 | − | 0.114123i | ||||
\(297\) | 5.15400 | + | 21.1424i | 0.299065 | + | 1.22681i | ||||
\(298\) | 1.93527 | + | 0.341240i | 0.112107 | + | 0.0197675i | ||||
\(299\) | −33.3869 | − | 12.1518i | −1.93082 | − | 0.702759i | ||||
\(300\) | −4.91345 | − | 3.49611i | −0.283678 | − | 0.201848i | ||||
\(301\) | −0.895237 | − | 0.325840i | −0.0516006 | − | 0.0187811i | ||||
\(302\) | −4.44571 | − | 5.29819i | −0.255822 | − | 0.304877i | ||||
\(303\) | −4.60544 | + | 3.17313i | −0.264575 | + | 0.182291i | ||||
\(304\) | −0.181845 | − | 4.35510i | −0.0104295 | − | 0.249782i | ||||
\(305\) | − | 1.40379i | − | 0.0803806i | ||||||
\(306\) | −13.2143 | + | 4.58448i | −0.755410 | + | 0.262077i | ||||
\(307\) | −2.00147 | + | 0.352914i | −0.114230 | + | 0.0201419i | −0.230471 | − | 0.973079i | \(-0.574027\pi\) |
0.116241 | + | 0.993221i | \(0.462916\pi\) | |||||||
\(308\) | −0.625061 | − | 0.110215i | −0.0356162 | − | 0.00628009i | ||||
\(309\) | −0.605969 | + | 0.157467i | −0.0344723 | + | 0.00895798i | ||||
\(310\) | −8.53078 | − | 7.15818i | −0.484516 | − | 0.406557i | ||||
\(311\) | −14.6056 | + | 8.43256i | −0.828209 | + | 0.478167i | −0.853239 | − | 0.521520i | \(-0.825365\pi\) |
0.0250301 | + | 0.999687i | \(0.492032\pi\) | |||||||
\(312\) | 0.781372 | + | 9.78266i | 0.0442365 | + | 0.553834i | ||||
\(313\) | −13.1523 | − | 11.0361i | −0.743414 | − | 0.623798i | 0.190338 | − | 0.981719i | \(-0.439041\pi\) |
−0.933752 | + | 0.357920i | \(0.883486\pi\) | |||||||
\(314\) | 17.6475 | − | 6.42317i | 0.995906 | − | 0.362480i | ||||
\(315\) | −0.434569 | + | 0.353585i | −0.0244852 | + | 0.0199223i | ||||
\(316\) | −0.533181 | − | 0.307832i | −0.0299938 | − | 0.0173169i | ||||
\(317\) | 29.9396 | − | 10.8971i | 1.68158 | − | 0.612044i | 0.688052 | − | 0.725661i | \(-0.258466\pi\) |
0.993525 | + | 0.113617i | \(0.0362438\pi\) | |||||||
\(318\) | 8.72290 | + | 2.40814i | 0.489156 | + | 0.135042i | ||||
\(319\) | 12.4074 | + | 34.0891i | 0.694681 | + | 1.90862i | ||||
\(320\) | −0.421448 | + | 1.15792i | −0.0235597 | + | 0.0647296i | ||||
\(321\) | 26.3937 | + | 7.28655i | 1.47315 | + | 0.406695i | ||||
\(322\) | 0.823014 | − | 0.475167i | 0.0458648 | − | 0.0264800i | ||||
\(323\) | −10.8867 | − | 17.1606i | −0.605750 | − | 0.954843i | ||||
\(324\) | −1.83019 | + | 8.81195i | −0.101677 | + | 0.489553i | ||||
\(325\) | −6.74697 | + | 18.5371i | −0.374254 | + | 1.02826i | ||||
\(326\) | −8.83967 | + | 7.41736i | −0.489584 | + | 0.410810i | ||||
\(327\) | −11.6949 | + | 16.4361i | −0.646729 | + | 0.908916i | ||||
\(328\) | −2.07574 | − | 11.7721i | −0.114614 | − | 0.650006i | ||||
\(329\) | −0.308002 | + | 0.367063i | −0.0169807 | + | 0.0202368i | ||||
\(330\) | 8.91004 | − | 0.711673i | 0.490482 | − | 0.0391763i | ||||
\(331\) | 27.0602 | + | 15.6232i | 1.48736 | + | 0.858728i | 0.999896 | − | 0.0144149i | \(-0.00458856\pi\) |
0.487464 | + | 0.873143i | \(0.337922\pi\) | |||||||
\(332\) | 3.96409 | + | 10.8912i | 0.217558 | + | 0.597734i | ||||
\(333\) | −5.73537 | − | 10.2903i | −0.314296 | − | 0.563905i | ||||
\(334\) | 2.19686 | + | 3.80508i | 0.120207 | + | 0.208205i | ||||
\(335\) | −13.6265 | −0.744494 | ||||||||
\(336\) | −0.213880 | − | 0.152184i | −0.0116681 | − | 0.00830230i | ||||
\(337\) | 24.2172 | − | 4.27015i | 1.31920 | − | 0.232610i | 0.530653 | − | 0.847589i | \(-0.321947\pi\) |
0.788543 | + | 0.614979i | \(0.210836\pi\) | |||||||
\(338\) | 17.9516 | − | 6.53384i | 0.976438 | − | 0.355394i | ||||
\(339\) | 11.9199 | + | 3.29075i | 0.647402 | + | 0.178729i | ||||
\(340\) | 0.997618 | + | 5.65777i | 0.0541034 | + | 0.306836i | ||||
\(341\) | −37.8486 | −2.04962 | ||||||||
\(342\) | −13.0721 | + | 0.347865i | −0.706857 | + | 0.0188104i | ||||
\(343\) | −2.11825 | −0.114375 | ||||||||
\(344\) | 1.09159 | + | 6.19071i | 0.0588545 | + | 0.333781i | ||||
\(345\) | −9.53478 | + | 9.39165i | −0.513336 | + | 0.505629i | ||||
\(346\) | 8.21013 | − | 2.98824i | 0.441379 | − | 0.160649i | ||||
\(347\) | −20.9391 | + | 3.69212i | −1.12407 | + | 0.198203i | −0.704626 | − | 0.709579i | \(-0.748885\pi\) |
−0.419442 | + | 0.907782i | \(0.637774\pi\) | |||||||
\(348\) | −1.42060 | + | 14.9357i | −0.0761522 | + | 0.800639i | ||||
\(349\) | −28.0360 | −1.50073 | −0.750367 | − | 0.661022i | \(-0.770123\pi\) | ||||
−0.750367 | + | 0.661022i | \(0.770123\pi\) | |||||||
\(350\) | −0.263823 | − | 0.456955i | −0.0141019 | − | 0.0244253i | ||||
\(351\) | 29.3801 | − | 1.89997i | 1.56819 | − | 0.101413i | ||||
\(352\) | 1.43238 | + | 3.93544i | 0.0763463 | + | 0.209760i | ||||
\(353\) | 8.26849 | + | 4.77382i | 0.440088 | + | 0.254085i | 0.703635 | − | 0.710562i | \(-0.251559\pi\) |
−0.263547 | + | 0.964646i | \(0.584892\pi\) | |||||||
\(354\) | −5.16730 | + | 10.8660i | −0.274639 | + | 0.577521i | ||||
\(355\) | −1.49705 | + | 1.78411i | −0.0794550 | + | 0.0946908i | ||||
\(356\) | −0.130167 | − | 0.738215i | −0.00689884 | − | 0.0391253i | ||||
\(357\) | −1.21834 | − | 0.115882i | −0.0644816 | − | 0.00613312i | ||||
\(358\) | −6.70816 | + | 5.62882i | −0.354537 | + | 0.297492i | ||||
\(359\) | 1.81305 | − | 4.98132i | 0.0956893 | − | 0.262904i | −0.882608 | − | 0.470109i | \(-0.844215\pi\) |
0.978298 | + | 0.207205i | \(0.0664368\pi\) | |||||||
\(360\) | 3.45424 | + | 1.31674i | 0.182054 | + | 0.0693982i | ||||
\(361\) | −4.84768 | − | 18.3712i | −0.255141 | − | 0.966904i | ||||
\(362\) | −6.74163 | + | 3.89228i | −0.354332 | + | 0.204574i | ||||
\(363\) | 8.06948 | − | 7.94834i | 0.423538 | − | 0.417180i | ||||
\(364\) | −0.293692 | + | 0.806913i | −0.0153937 | + | 0.0422937i | ||||
\(365\) | 4.04377 | + | 11.1102i | 0.211660 | + | 0.581532i | ||||
\(366\) | −0.496271 | − | 1.90977i | −0.0259405 | − | 0.0998250i | ||||
\(367\) | 1.97741 | − | 0.719720i | 0.103220 | − | 0.0375691i | −0.289894 | − | 0.957059i | \(-0.593620\pi\) |
0.393114 | + | 0.919490i | \(0.371398\pi\) | |||||||
\(368\) | −5.43055 | − | 3.13533i | −0.283087 | − | 0.163440i | ||||
\(369\) | −35.4064 | + | 5.69236i | −1.84319 | + | 0.296332i | ||||
\(370\) | −4.54703 | + | 1.65498i | −0.236389 | + | 0.0860385i | ||||
\(371\) | 0.606551 | + | 0.508956i | 0.0314905 | + | 0.0264237i | ||||
\(372\) | −14.1362 | − | 6.72243i | −0.732927 | − | 0.348542i | ||||
\(373\) | −2.70068 | + | 1.55924i | −0.139836 | + | 0.0807342i | −0.568286 | − | 0.822831i | \(-0.692393\pi\) |
0.428450 | + | 0.903566i | \(0.359060\pi\) | |||||||
\(374\) | 14.9577 | + | 12.5510i | 0.773442 | + | 0.648995i | ||||
\(375\) | 12.7030 | + | 12.8966i | 0.655981 | + | 0.665978i | ||||
\(376\) | 3.11369 | + | 0.549027i | 0.160576 | + | 0.0283139i | ||||
\(377\) | 48.3337 | − | 8.52254i | 2.48931 | − | 0.438933i | ||||
\(378\) | −0.466204 | + | 0.634661i | −0.0239789 | + | 0.0326435i | ||||
\(379\) | 21.1889i | 1.08840i | 0.838955 | + | 0.544201i | \(0.183167\pi\) | ||||
−0.838955 | + | 0.544201i | \(0.816833\pi\) | |||||||
\(380\) | −0.711211 | + | 5.32388i | −0.0364844 | + | 0.273109i | ||||
\(381\) | −0.765371 | − | 9.58234i | −0.0392111 | − | 0.490918i | ||||
\(382\) | −11.8158 | − | 14.0815i | −0.604548 | − | 0.720473i | ||||
\(383\) | −2.18013 | − | 0.793502i | −0.111399 | − | 0.0405460i | 0.285719 | − | 0.958313i | \(-0.407768\pi\) |
−0.397118 | + | 0.917767i | \(0.629990\pi\) | |||||||
\(384\) | −0.164003 | + | 1.72427i | −0.00836923 | + | 0.0879912i | ||||
\(385\) | 0.734935 | + | 0.267495i | 0.0374558 | + | 0.0136328i | ||||
\(386\) | −7.56880 | − | 1.33458i | −0.385242 | − | 0.0679285i | ||||
\(387\) | 18.6195 | − | 2.99350i | 0.946484 | − | 0.152168i | ||||
\(388\) | −6.07617 | + | 3.50808i | −0.308471 | + | 0.178096i | ||||
\(389\) | 11.1404 | − | 13.2766i | 0.564842 | − | 0.673153i | −0.405722 | − | 0.913997i | \(-0.632980\pi\) |
0.970564 | + | 0.240844i | \(0.0774242\pi\) | |||||||
\(390\) | 1.14504 | − | 12.0386i | 0.0579814 | − | 0.609597i | ||||
\(391\) | −29.2358 | −1.47852 | ||||||||
\(392\) | 3.48852 | + | 6.04229i | 0.176197 | + | 0.305182i | ||||
\(393\) | 1.98371 | − | 2.78791i | 0.100065 | − | 0.140632i | ||||
\(394\) | 1.64786 | − | 4.52747i | 0.0830182 | − | 0.228091i | ||||
\(395\) | 0.581153 | + | 0.487645i | 0.0292410 | + | 0.0245361i | ||||
\(396\) | 11.8700 | − | 4.11809i | 0.596488 | − | 0.206942i | ||||
\(397\) | −33.5646 | − | 12.2165i | −1.68456 | − | 0.613129i | −0.690635 | − | 0.723203i | \(-0.742669\pi\) |
−0.993923 | + | 0.110074i | \(0.964891\pi\) | |||||||
\(398\) | −6.29876 | − | 10.9098i | −0.315728 | − | 0.546857i | ||||
\(399\) | −1.05291 | − | 0.447851i | −0.0527113 | − | 0.0224206i | ||||
\(400\) | −1.74080 | + | 3.01516i | −0.0870401 | + | 0.150758i | ||||
\(401\) | −1.63438 | + | 1.37141i | −0.0816173 | + | 0.0684850i | −0.682684 | − | 0.730714i | \(-0.739187\pi\) |
0.601066 | + | 0.799199i | \(0.294743\pi\) | |||||||
\(402\) | −18.5380 | + | 4.81728i | −0.924591 | + | 0.240264i | ||||
\(403\) | −8.89181 | + | 50.4280i | −0.442933 | + | 2.51200i | ||||
\(404\) | 2.07554 | + | 2.47354i | 0.103262 | + | 0.123063i | ||||
\(405\) | 4.10650 | − | 10.3018i | 0.204053 | − | 0.511900i | ||||
\(406\) | −0.656379 | + | 1.13688i | −0.0325755 | + | 0.0564225i | ||||
\(407\) | −8.22295 | + | 14.2426i | −0.407596 | + | 0.705978i | ||||
\(408\) | 3.35735 | + | 7.34437i | 0.166214 | + | 0.363600i | ||||
\(409\) | −1.20787 | − | 0.212980i | −0.0597253 | − | 0.0105312i | 0.143706 | − | 0.989620i | \(-0.454098\pi\) |
−0.203431 | + | 0.979089i | \(0.565209\pi\) | |||||||
\(410\) | 14.7297i | 0.727450i | ||||||||
\(411\) | −0.605047 | − | 7.57510i | −0.0298447 | − | 0.373652i | ||||
\(412\) | 0.123632 | + | 0.339676i | 0.00609091 | + | 0.0167346i | ||||
\(413\) | −0.806487 | + | 0.676723i | −0.0396846 | + | 0.0332994i | ||||
\(414\) | −9.65132 | + | 16.1475i | −0.474336 | + | 0.793607i | ||||
\(415\) | −2.48001 | − | 14.0649i | −0.121739 | − | 0.690417i | ||||
\(416\) | 5.57993 | − | 0.983892i | 0.273579 | − | 0.0482393i | ||||
\(417\) | 16.3101 | − | 34.2976i | 0.798710 | − | 1.67956i | ||||
\(418\) | 9.77915 | + | 15.4148i | 0.478314 | + | 0.753965i | ||||
\(419\) | 6.61242 | + | 3.81768i | 0.323038 | + | 0.186506i | 0.652746 | − | 0.757577i | \(-0.273617\pi\) |
−0.329708 | + | 0.944083i | \(0.606950\pi\) | |||||||
\(420\) | 0.226982 | + | 0.230442i | 0.0110756 | + | 0.0112444i | ||||
\(421\) | −12.4583 | − | 14.8472i | −0.607181 | − | 0.723610i | 0.371629 | − | 0.928381i | \(-0.378799\pi\) |
−0.978810 | + | 0.204772i | \(0.934355\pi\) | |||||||
\(422\) | 6.74580 | − | 8.03934i | 0.328381 | − | 0.391349i | ||||
\(423\) | 1.78817 | − | 9.31508i | 0.0869439 | − | 0.452915i | ||||
\(424\) | 0.907236 | − | 5.14519i | 0.0440593 | − | 0.249872i | ||||
\(425\) | 16.2323i | 0.787384i | ||||||||
\(426\) | −1.40591 | + | 2.95641i | −0.0681168 | + | 0.143239i | ||||
\(427\) | 0.0299807 | − | 0.170029i | 0.00145087 | − | 0.00822829i | ||||
\(428\) | 2.74511 | − | 15.5683i | 0.132690 | − | 0.752521i | ||||
\(429\) | −23.3189 | − | 33.8448i | −1.12585 | − | 1.63404i | ||||
\(430\) | − | 7.74607i | − | 0.373549i | ||||||
\(431\) | 4.06994 | − | 23.0818i | 0.196042 | − | 1.11181i | −0.714885 | − | 0.699242i | \(-0.753521\pi\) |
0.910927 | − | 0.412568i | \(-0.135368\pi\) | |||||||
\(432\) | 5.16477 | + | 0.570188i | 0.248490 | + | 0.0274332i | ||||
\(433\) | 0.835652 | − | 0.995891i | 0.0401589 | − | 0.0478595i | −0.745591 | − | 0.666404i | \(-0.767833\pi\) |
0.785750 | + | 0.618544i | \(0.212277\pi\) | |||||||
\(434\) | −0.880386 | − | 1.04920i | −0.0422599 | − | 0.0503634i | ||||
\(435\) | 4.91978 | − | 17.8207i | 0.235886 | − | 0.854437i | ||||
\(436\) | 10.0861 | + | 5.82319i | 0.483035 | + | 0.278880i | ||||
\(437\) | −26.0524 | − | 8.26883i | −1.24626 | − | 0.395552i | ||||
\(438\) | 9.42899 | + | 13.6851i | 0.450535 | + | 0.653900i | ||||
\(439\) | 4.77876 | − | 0.842624i | 0.228078 | − | 0.0402163i | −0.0584411 | − | 0.998291i | \(-0.518613\pi\) |
0.286519 | + | 0.958075i | \(0.407502\pi\) | |||||||
\(440\) | −0.896129 | − | 5.08220i | −0.0427213 | − | 0.242284i | ||||
\(441\) | 18.2831 | − | 10.1902i | 0.870623 | − | 0.485247i | ||||
\(442\) | 20.2364 | − | 16.9803i | 0.962547 | − | 0.807673i | ||||
\(443\) | −5.05432 | − | 13.8866i | −0.240138 | − | 0.659774i | −0.999954 | − | 0.00963524i | \(-0.996933\pi\) |
0.759815 | − | 0.650139i | \(-0.225289\pi\) | |||||||
\(444\) | −5.60088 | + | 3.85899i | −0.265806 | + | 0.183139i | ||||
\(445\) | 0.923684i | 0.0437868i | ||||||||
\(446\) | 13.3736 | + | 2.35813i | 0.633259 | + | 0.111661i | ||||
\(447\) | −3.38840 | − | 0.322286i | −0.160266 | − | 0.0152436i | ||||
\(448\) | −0.0757763 | + | 0.131248i | −0.00358009 | + | 0.00620090i | ||||
\(449\) | −3.14402 | + | 5.44561i | −0.148376 | + | 0.256994i | −0.930627 | − | 0.365968i | \(-0.880738\pi\) |
0.782252 | + | 0.622963i | \(0.214071\pi\) | |||||||
\(450\) | 8.96545 | + | 5.35862i | 0.422636 | + | 0.252608i | ||||
\(451\) | 32.1794 | + | 38.3499i | 1.51527 | + | 1.80583i | ||||
\(452\) | 1.23975 | − | 7.03096i | 0.0583128 | − | 0.330709i | ||||
\(453\) | 8.40639 | + | 8.53451i | 0.394967 | + | 0.400986i | ||||
\(454\) | 6.07890 | − | 5.10080i | 0.285297 | − | 0.239393i | ||||
\(455\) | 0.529058 | − | 0.916355i | 0.0248026 | − | 0.0429594i | ||||
\(456\) | 0.914556 | + | 7.49424i | 0.0428280 | + | 0.350950i | ||||
\(457\) | −2.08364 | − | 3.60897i | −0.0974685 | − | 0.168820i | 0.813168 | − | 0.582030i | \(-0.197741\pi\) |
−0.910636 | + | 0.413209i | \(0.864408\pi\) | |||||||
\(458\) | −16.0478 | − | 5.84094i | −0.749867 | − | 0.272929i | ||||
\(459\) | 22.1829 | − | 9.73766i | 1.03541 | − | 0.454515i | ||||
\(460\) | 5.91915 | + | 4.96676i | 0.275982 | + | 0.231576i | ||||
\(461\) | −1.93086 | + | 5.30498i | −0.0899289 | + | 0.247078i | −0.976501 | − | 0.215513i | \(-0.930858\pi\) |
0.886572 | + | 0.462590i | \(0.153080\pi\) | |||||||
\(462\) | 1.09440 | + | 0.104093i | 0.0509161 | + | 0.00484285i | ||||
\(463\) | −1.28617 | − | 2.22771i | −0.0597734 | − | 0.103531i | 0.834590 | − | 0.550871i | \(-0.185704\pi\) |
−0.894364 | + | 0.447341i | \(0.852371\pi\) | |||||||
\(464\) | 8.66206 | 0.402126 | ||||||||
\(465\) | 15.7160 | + | 11.1825i | 0.728812 | + | 0.518577i | ||||
\(466\) | −14.3087 | + | 17.0524i | −0.662838 | + | 0.789939i | ||||
\(467\) | 16.9075 | − | 9.76155i | 0.782386 | − | 0.451711i | −0.0548891 | − | 0.998492i | \(-0.517481\pi\) |
0.837275 | + | 0.546782i | \(0.184147\pi\) | |||||||
\(468\) | −2.69816 | − | 16.7825i | −0.124722 | − | 0.775772i | ||||
\(469\) | −1.65046 | − | 0.291021i | −0.0762114 | − | 0.0134381i | ||||
\(470\) | −3.66102 | − | 1.33250i | −0.168870 | − | 0.0614637i | ||||
\(471\) | −29.5836 | + | 13.5236i | −1.36314 | + | 0.623135i | ||||
\(472\) | 6.52779 | + | 2.37592i | 0.300466 | + | 0.109361i | ||||
\(473\) | −16.9225 | − | 20.1674i | −0.778097 | − | 0.927300i | ||||
\(474\) | 0.963016 | + | 0.457960i | 0.0442328 | + | 0.0210348i | ||||
\(475\) | −4.59104 | + | 14.4649i | −0.210651 | + | 0.663693i | ||||
\(476\) | 0.706586i | 0.0323863i | ||||||||
\(477\) | −15.3926 | − | 2.95485i | −0.704780 | − | 0.135293i | ||||
\(478\) | 17.8055 | − | 3.13959i | 0.814404 | − | 0.143601i | ||||
\(479\) | 12.9662 | + | 2.28629i | 0.592441 | + | 0.104463i | 0.461827 | − | 0.886970i | \(-0.347194\pi\) |
0.130614 | + | 0.991433i | \(0.458305\pi\) | |||||||
\(480\) | 0.567969 | − | 2.05733i | 0.0259241 | − | 0.0939037i | ||||
\(481\) | 17.0444 | + | 14.3019i | 0.777157 | + | 0.652112i | ||||
\(482\) | 11.0384 | − | 6.37304i | 0.502786 | − | 0.290284i | ||||
\(483\) | −1.35545 | + | 0.933899i | −0.0616750 | + | 0.0424939i | ||||
\(484\) | −5.00950 | − | 4.20347i | −0.227704 | − | 0.191067i | ||||
\(485\) | 8.12414 | − | 2.95694i | 0.368898 | − | 0.134268i | ||||
\(486\) | 1.94471 | − | 15.4667i | 0.0882140 | − | 0.701583i | ||||
\(487\) | 0.979574 | + | 0.565557i | 0.0443887 | + | 0.0256278i | 0.522030 | − | 0.852927i | \(-0.325175\pi\) |
−0.477641 | + | 0.878555i | \(0.658508\pi\) | |||||||
\(488\) | −1.07052 | + | 0.389637i | −0.0484602 | + | 0.0176381i | ||||
\(489\) | 14.2393 | − | 14.0255i | 0.643921 | − | 0.634255i | ||||
\(490\) | −2.94046 | − | 8.07884i | −0.132836 | − | 0.364965i | ||||
\(491\) | 6.03935 | − | 16.5930i | 0.272552 | − | 0.748831i | −0.725603 | − | 0.688114i | \(-0.758439\pi\) |
0.998155 | − | 0.0607172i | \(-0.0193388\pi\) | |||||||
\(492\) | 5.20730 | + | 20.0389i | 0.234763 | + | 0.903423i | ||||
\(493\) | 34.9747 | − | 20.1926i | 1.57518 | − | 0.909431i | ||||
\(494\) | 22.8355 | − | 9.40791i | 1.02742 | − | 0.423282i | ||||
\(495\) | −15.2855 | + | 2.45748i | −0.687033 | + | 0.110456i | ||||
\(496\) | −3.09097 | + | 8.49236i | −0.138788 | + | 0.381318i | ||||
\(497\) | −0.219428 | + | 0.184122i | −0.00984270 | + | 0.00825901i | ||||
\(498\) | −8.34616 | − | 18.2576i | −0.374000 | − | 0.818144i | ||||
\(499\) | −1.60738 | − | 9.11592i | −0.0719564 | − | 0.408085i | −0.999416 | − | 0.0341623i | \(-0.989124\pi\) |
0.927460 | − | 0.373923i | \(-0.121987\pi\) | |||||||
\(500\) | 6.71797 | − | 8.00616i | 0.300437 | − | 0.358046i | ||||
\(501\) | −4.31774 | − | 6.26671i | −0.192902 | − | 0.279976i | ||||
\(502\) | −3.11572 | − | 1.79886i | −0.139062 | − | 0.0802872i | ||||
\(503\) | 6.58007 | + | 18.0786i | 0.293391 | + | 0.806084i | 0.995565 | + | 0.0940790i | \(0.0299906\pi\) |
−0.702174 | + | 0.712005i | \(0.747787\pi\) | |||||||
\(504\) | 0.390262 | + | 0.233258i | 0.0173836 | + | 0.0103901i | ||||
\(505\) | −1.98942 | − | 3.44578i | −0.0885281 | − | 0.153335i | ||||
\(506\) | 26.2616 | 1.16747 | ||||||||
\(507\) | −30.0933 | + | 13.7566i | −1.33649 | + | 0.610954i | ||||
\(508\) | −5.46567 | + | 0.963745i | −0.242500 | + | 0.0427593i | ||||
\(509\) | −10.5636 | + | 3.84485i | −0.468224 | + | 0.170420i | −0.565348 | − | 0.824853i | \(-0.691258\pi\) |
0.0971234 | + | 0.995272i | \(0.469036\pi\) | |||||||
\(510\) | −2.50268 | − | 9.63086i | −0.110820 | − | 0.426462i | ||||
\(511\) | 0.252508 | + | 1.43204i | 0.0111703 | + | 0.0633499i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | 22.5216 | − | 2.40331i | 0.994355 | − | 0.106109i | ||||
\(514\) | −28.4996 | −1.25707 | ||||||||
\(515\) | −0.0773467 | − | 0.438655i | −0.00340830 | − | 0.0193294i | ||||
\(516\) | −2.73842 | − | 10.5380i | −0.120552 | − | 0.463912i | ||||
\(517\) | −12.4428 | + | 4.52880i | −0.547232 | + | 0.199176i | ||||
\(518\) | −0.586090 | + | 0.103344i | −0.0257513 | + | 0.00454065i | ||||
\(519\) | −13.7631 | + | 6.29158i | −0.604134 | + | 0.276170i | ||||
\(520\) | −6.98184 | −0.306174 | ||||||||
\(521\) | −11.7751 | − | 20.3951i | −0.515876 | − | 0.893524i | −0.999830 | − | 0.0184307i | \(-0.994133\pi\) |
0.483954 | − | 0.875094i | \(-0.339200\pi\) | |||||||
\(522\) | 0.393030 | − | 25.9832i | 0.0172025 | − | 1.13725i | ||||
\(523\) | 3.98784 | + | 10.9565i | 0.174376 | + | 0.479094i | 0.995835 | − | 0.0911733i | \(-0.0290617\pi\) |
−0.821459 | + | 0.570268i | \(0.806839\pi\) | |||||||
\(524\) | −1.71081 | − | 0.987739i | −0.0747373 | − | 0.0431496i | ||||
\(525\) | 0.518521 | + | 0.752574i | 0.0226301 | + | 0.0328450i | ||||
\(526\) | −2.73531 | + | 3.25981i | −0.119265 | + | 0.142135i | ||||
\(527\) | 7.31669 | + | 41.4950i | 0.318720 | + | 1.80755i | ||||
\(528\) | −3.01580 | − | 6.59721i | −0.131246 | − | 0.287107i | ||||
\(529\) | −12.5027 | + | 10.4910i | −0.543597 | + | 0.456132i | ||||
\(530\) | −2.20188 | + | 6.04962i | −0.0956436 | + | 0.262779i | ||||
\(531\) | 7.42313 | − | 19.4733i | 0.322137 | − | 0.845070i | ||||
\(532\) | −0.199845 | + | 0.629648i | −0.00866440 | + | 0.0272987i | ||||
\(533\) | 58.6557 | − | 33.8649i | 2.54066 | − | 1.46685i | ||||
\(534\) | 0.326544 | + | 1.25662i | 0.0141309 | + | 0.0543791i | ||||
\(535\) | −6.66244 | + | 18.3049i | −0.288042 | + | 0.791390i | ||||
\(536\) | 3.78219 | + | 10.3915i | 0.163366 | + | 0.448843i | ||||
\(537\) | 10.8058 | − | 10.6435i | 0.466303 | − | 0.459302i | ||||
\(538\) | −22.2023 | + | 8.08099i | −0.957211 | + | 0.348396i | ||||
\(539\) | −25.3052 | − | 14.6099i | −1.08997 | − | 0.629295i | ||||
\(540\) | −6.14551 | − | 1.79706i | −0.264460 | − | 0.0773332i | ||||
\(541\) | 3.57328 | − | 1.30057i | 0.153628 | − | 0.0559158i | −0.264062 | − | 0.964506i | \(-0.585062\pi\) |
0.417689 | + | 0.908590i | \(0.362840\pi\) | |||||||
\(542\) | 24.4569 | + | 20.5218i | 1.05051 | + | 0.881486i | ||||
\(543\) | 11.1030 | − | 7.64993i | 0.476476 | − | 0.328290i | ||||
\(544\) | 4.03768 | − | 2.33116i | 0.173114 | − | 0.0999476i | ||||
\(545\) | −10.9935 | − | 9.22467i | −0.470911 | − | 0.395141i | ||||
\(546\) | 0.395797 | − | 1.43368i | 0.0169386 | − | 0.0613558i | ||||
\(547\) | 41.7067 | + | 7.35402i | 1.78325 | + | 0.314435i | 0.965356 | − | 0.260935i | \(-0.0840307\pi\) |
0.817894 | + | 0.575370i | \(0.195142\pi\) | |||||||
\(548\) | −4.32076 | + | 0.761866i | −0.184574 | + | 0.0325453i | ||||
\(549\) | 1.12020 | + | 3.22887i | 0.0478092 | + | 0.137805i | ||||
\(550\) | − | 14.5810i | − | 0.621736i | ||||||
\(551\) | 36.8775 | − | 8.10196i | 1.57104 | − | 0.345155i | ||||
\(552\) | 9.80850 | + | 4.66441i | 0.417478 | + | 0.198530i | ||||
\(553\) | 0.0599756 | + | 0.0714761i | 0.00255042 | + | 0.00303948i | ||||
\(554\) | −4.04784 | − | 1.47329i | −0.171976 | − | 0.0625942i | ||||
\(555\) | 7.62246 | − | 3.48448i | 0.323555 | − | 0.147908i | ||||
\(556\) | −20.6044 | − | 7.49938i | −0.873821 | − | 0.318045i | ||||
\(557\) | −3.13180 | − | 0.552221i | −0.132699 | − | 0.0233984i | 0.106904 | − | 0.994269i | \(-0.465906\pi\) |
−0.239603 | + | 0.970871i | \(0.577017\pi\) | |||||||
\(558\) | 25.3339 | + | 9.65717i | 1.07247 | + | 0.408821i | ||||
\(559\) | −30.8459 | + | 17.8089i | −1.30464 | + | 0.753235i | ||||
\(560\) | 0.120039 | − | 0.143057i | 0.00507258 | − | 0.00604527i | ||||
\(561\) | −27.5560 | − | 19.6072i | −1.16342 | − | 0.827815i | ||||
\(562\) | 11.9514 | 0.504141 | ||||||||
\(563\) | 13.7502 | + | 23.8160i | 0.579501 | + | 1.00372i | 0.995537 | + | 0.0943765i | \(0.0300858\pi\) |
−0.416036 | + | 0.909348i | \(0.636581\pi\) | |||||||
\(564\) | −5.45166 | − | 0.518531i | −0.229556 | − | 0.0218341i | ||||
\(565\) | −3.00890 | + | 8.26687i | −0.126585 | + | 0.347790i | ||||
\(566\) | 1.23232 | + | 1.03404i | 0.0517981 | + | 0.0434638i | ||||
\(567\) | 0.717402 | − | 1.16007i | 0.0301280 | − | 0.0487183i | ||||
\(568\) | 1.77607 | + | 0.646438i | 0.0745224 | + | 0.0271240i | ||||
\(569\) | 7.69616 | + | 13.3301i | 0.322640 | + | 0.558829i | 0.981032 | − | 0.193846i | \(-0.0620963\pi\) |
−0.658392 | + | 0.752675i | \(0.728763\pi\) | |||||||
\(570\) | 0.493754 | − | 9.29003i | 0.0206811 | − | 0.389117i | ||||
\(571\) | 10.1606 | − | 17.5988i | 0.425210 | − | 0.736485i | −0.571230 | − | 0.820790i | \(-0.693534\pi\) |
0.996440 | + | 0.0843049i | \(0.0268670\pi\) | |||||||
\(572\) | −18.1777 | + | 15.2529i | −0.760048 | + | 0.637756i | ||||
\(573\) | 22.3425 | + | 22.6830i | 0.933371 | + | 0.947596i | ||||
\(574\) | −0.314584 | + | 1.78409i | −0.0131305 | + | 0.0744666i | ||||
\(575\) | 14.0333 | + | 16.7242i | 0.585230 | + | 0.697449i | ||||
\(576\) | 0.0453738 | − | 2.99966i | 0.00189057 | − | 0.124986i | ||||
\(577\) | 1.95568 | − | 3.38733i | 0.0814158 | − | 0.141016i | −0.822442 | − | 0.568848i | \(-0.807389\pi\) |
0.903858 | + | 0.427832i | \(0.140722\pi\) | |||||||
\(578\) | 2.36860 | − | 4.10253i | 0.0985206 | − | 0.170643i | ||||
\(579\) | 13.2520 | + | 1.26045i | 0.550733 | + | 0.0523826i | ||||
\(580\) | −10.5115 | − | 1.85346i | −0.436467 | − | 0.0769609i | ||||
\(581\) | − | 1.75653i | − | 0.0728730i | ||||||
\(582\) | 10.0070 | − | 6.89481i | 0.414805 | − | 0.285799i | ||||
\(583\) | 7.48358 | + | 20.5610i | 0.309938 | + | 0.851548i | ||||
\(584\) | 7.35015 | − | 6.16750i | 0.304151 | − | 0.255213i | ||||
\(585\) | −0.316792 | + | 20.9431i | −0.0130978 | + | 0.865891i | ||||
\(586\) | 0.717834 | + | 4.07104i | 0.0296534 | + | 0.168173i | ||||
\(587\) | −16.9108 | + | 2.98183i | −0.697983 | + | 0.123073i | −0.511371 | − | 0.859360i | \(-0.670862\pi\) |
−0.186613 | + | 0.982434i | \(0.559751\pi\) | |||||||
\(588\) | −6.85637 | − | 9.95124i | −0.282752 | − | 0.410382i | ||||
\(589\) | −5.21614 | + | 39.0462i | −0.214927 | + | 1.60887i | ||||
\(590\) | −7.41316 | − | 4.27999i | −0.305195 | − | 0.176204i | ||||
\(591\) | −2.22076 | + | 8.04416i | −0.0913499 | + | 0.330893i | ||||
\(592\) | 2.52416 | + | 3.00818i | 0.103742 | + | 0.123635i | ||||
\(593\) | 10.5095 | − | 12.5247i | 0.431573 | − | 0.514329i | −0.505802 | − | 0.862649i | \(-0.668803\pi\) |
0.937376 | + | 0.348320i | \(0.113248\pi\) | |||||||
\(594\) | −19.9262 | + | 8.74703i | −0.817583 | + | 0.358895i | ||||
\(595\) | 0.151192 | − | 0.857450i | 0.00619825 | − | 0.0351520i | ||||
\(596\) | 1.96513i | 0.0804947i | ||||||||
\(597\) | 12.3796 | + | 17.9677i | 0.506665 | + | 0.735367i | ||||
\(598\) | 6.16965 | − | 34.9898i | 0.252296 | − | 1.43084i | ||||
\(599\) | −3.09275 | + | 17.5399i | −0.126366 | + | 0.716660i | 0.854120 | + | 0.520075i | \(0.174096\pi\) |
−0.980487 | + | 0.196585i | \(0.937015\pi\) | |||||||
\(600\) | 2.58978 | − | 5.44589i | 0.105727 | − | 0.222328i | ||||
\(601\) | 30.8806i | 1.25965i | 0.776738 | + | 0.629824i | \(0.216873\pi\) | ||||
−0.776738 | + | 0.629824i | \(0.783127\pi\) | |||||||
\(602\) | 0.165433 | − | 0.938218i | 0.00674255 | − | 0.0382389i | ||||
\(603\) | 31.3425 | − | 10.8738i | 1.27636 | − | 0.442814i | ||||
\(604\) | 4.44571 | − | 5.29819i | 0.180893 | − | 0.215580i | ||||
\(605\) | 5.17965 | + | 6.17286i | 0.210583 | + | 0.250962i | ||||
\(606\) | −3.92465 | − | 3.98446i | −0.159428 | − | 0.161858i | ||||
\(607\) | −2.03226 | − | 1.17332i | −0.0824867 | − | 0.0476237i | 0.458189 | − | 0.888855i | \(-0.348498\pi\) |
−0.540676 | + | 0.841231i | \(0.681832\pi\) | |||||||
\(608\) | 4.25736 | − | 0.935338i | 0.172659 | − | 0.0379330i | ||||
\(609\) | 0.976491 | − | 2.05340i | 0.0395694 | − | 0.0832081i | ||||
\(610\) | 1.38246 | − | 0.243765i | 0.0559742 | − | 0.00986976i | ||||
\(611\) | 3.11079 | + | 17.6422i | 0.125849 | + | 0.713726i | ||||
\(612\) | −6.80947 | − | 12.2174i | −0.275256 | − | 0.493861i | ||||
\(613\) | −20.2198 | + | 16.9664i | −0.816670 | + | 0.685268i | −0.952190 | − | 0.305507i | \(-0.901174\pi\) |
0.135520 | + | 0.990775i | \(0.456730\pi\) | |||||||
\(614\) | −0.695105 | − | 1.90978i | −0.0280521 | − | 0.0770726i | ||||
\(615\) | −2.03130 | − | 25.4317i | −0.0819101 | − | 1.02550i | ||||
\(616\) | − | 0.634704i | − | 0.0255729i | ||||||
\(617\) | −30.6875 | − | 5.41103i | −1.23543 | − | 0.217840i | −0.482475 | − | 0.875910i | \(-0.660262\pi\) |
−0.752957 | + | 0.658070i | \(0.771373\pi\) | |||||||
\(618\) | −0.260300 | − | 0.569419i | −0.0104708 | − | 0.0229054i | ||||
\(619\) | −18.6411 | + | 32.2873i | −0.749247 | + | 1.29773i | 0.198937 | + | 0.980012i | \(0.436251\pi\) |
−0.948184 | + | 0.317722i | \(0.897082\pi\) | |||||||
\(620\) | 5.56807 | − | 9.64419i | 0.223619 | − | 0.387320i | ||||
\(621\) | 14.4367 | − | 29.2105i | 0.579324 | − | 1.17218i | ||||
\(622\) | −10.8407 | − | 12.9194i | −0.434672 | − | 0.518022i | ||||
\(623\) | −0.0197272 | + | 0.111878i | −0.000790352 | + | 0.00448231i | ||||
\(624\) | −9.49836 | + | 2.46824i | −0.380239 | + | 0.0988088i | ||||
\(625\) | 3.46987 | − | 2.91157i | 0.138795 | − | 0.116463i | ||||
\(626\) | 8.58458 | − | 14.8689i | 0.343109 | − | 0.594282i | ||||
\(627\) | −19.0100 | − | 25.2659i | −0.759186 | − | 1.00902i | ||||
\(628\) | 9.39004 | + | 16.2640i | 0.374703 | + | 0.649005i | ||||
\(629\) | 17.2043 | + | 6.26186i | 0.685981 | + | 0.249677i | ||||
\(630\) | −0.423676 | − | 0.366567i | −0.0168796 | − | 0.0146044i | ||||
\(631\) | −27.1796 | − | 22.8064i | −1.08200 | − | 0.907908i | −0.0859172 | − | 0.996302i | \(-0.527382\pi\) |
−0.996086 | + | 0.0883941i | \(0.971826\pi\) | |||||||
\(632\) | 0.210570 | − | 0.578535i | 0.00837601 | − | 0.0230129i | ||||
\(633\) | −10.5383 | + | 14.8106i | −0.418860 | + | 0.588669i | ||||
\(634\) | 15.9305 | + | 27.5925i | 0.632683 | + | 1.09584i | ||||
\(635\) | 6.83887 | 0.271392 | ||||||||
\(636\) | −0.856842 | + | 9.00855i | −0.0339760 | + | 0.357212i | ||||
\(637\) | −25.4106 | + | 30.2832i | −1.00681 | + | 1.19986i | ||||
\(638\) | −31.4166 | + | 18.1384i | −1.24380 | + | 0.718106i | ||||
\(639\) | 2.01968 | − | 5.29828i | 0.0798973 | − | 0.209597i | ||||
\(640\) | −1.21351 | − | 0.213975i | −0.0479682 | − | 0.00845810i | ||||
\(641\) | −35.8841 | − | 13.0607i | −1.41734 | − | 0.515868i | −0.484062 | − | 0.875034i | \(-0.660839\pi\) |
−0.933274 | + | 0.359166i | \(0.883061\pi\) | |||||||
\(642\) | −2.59263 | + | 27.2580i | −0.102323 | + | 1.07579i | ||||
\(643\) | 40.8231 | + | 14.8584i | 1.60991 | + | 0.585958i | 0.981422 | − | 0.191864i | \(-0.0614532\pi\) |
0.628485 | + | 0.777822i | \(0.283675\pi\) | |||||||
\(644\) | 0.610863 | + | 0.727998i | 0.0240714 | + | 0.0286871i | ||||
\(645\) | 1.06822 | + | 13.3740i | 0.0420612 | + | 0.526600i | ||||
\(646\) | 15.0095 | − | 13.7012i | 0.590540 | − | 0.539066i | ||||
\(647\) | − | 28.4430i | − | 1.11821i | −0.829097 | − | 0.559104i | \(-0.811145\pi\) | ||
0.829097 | − | 0.559104i | \(-0.188855\pi\) | |||||||
\(648\) | −8.99588 | − | 0.272212i | −0.353392 | − | 0.0106935i | ||||
\(649\) | −28.6510 | + | 5.05194i | −1.12465 | + | 0.198306i | ||||
\(650\) | −19.4271 | − | 3.42552i | −0.761994 | − | 0.134360i | ||||
\(651\) | 1.66472 | + | 1.69009i | 0.0652456 | + | 0.0662400i | ||||
\(652\) | −8.83967 | − | 7.41736i | −0.346188 | − | 0.290486i | ||||
\(653\) | 27.8912 | − | 16.1030i | 1.09147 | − | 0.630158i | 0.157500 | − | 0.987519i | \(-0.449657\pi\) |
0.933966 | + | 0.357361i | \(0.116323\pi\) | |||||||
\(654\) | −18.2172 | − | 8.66312i | −0.712347 | − | 0.338755i | ||||
\(655\) | 1.86474 | + | 1.56470i | 0.0728615 | + | 0.0611381i | ||||
\(656\) | 11.2328 | − | 4.08841i | 0.438567 | − | 0.159626i | ||||
\(657\) | −18.1669 | − | 22.3278i | −0.708758 | − | 0.871089i | ||||
\(658\) | −0.414971 | − | 0.239583i | −0.0161772 | − | 0.00933993i | ||||
\(659\) | −31.1905 | + | 11.3524i | −1.21501 | + | 0.442227i | −0.868438 | − | 0.495797i | \(-0.834876\pi\) |
−0.346570 | + | 0.938024i | \(0.612654\pi\) | |||||||
\(660\) | 2.24807 | + | 8.65110i | 0.0875062 | + | 0.336744i | ||||
\(661\) | −9.69428 | − | 26.6348i | −0.377064 | − | 1.03597i | −0.972567 | − | 0.232622i | \(-0.925270\pi\) |
0.595503 | − | 0.803353i | \(-0.296953\pi\) | |||||||
\(662\) | −10.6869 | + | 29.3620i | −0.415358 | + | 1.14119i | ||||
\(663\) | −32.5975 | + | 32.1082i | −1.26598 | + | 1.24698i | ||||
\(664\) | −10.0374 | + | 5.79511i | −0.389527 | + | 0.224894i | ||||
\(665\) | 0.377244 | − | 0.721324i | 0.0146289 | − | 0.0279717i | ||||
\(666\) | 9.13804 | − | 7.43513i | 0.354092 | − | 0.288105i | ||||
\(667\) | 18.5775 | − | 51.0411i | 0.719322 | − | 1.97632i | ||||
\(668\) | −3.36579 | + | 2.82423i | −0.130226 | + | 0.109273i | ||||
\(669\) | −23.4154 | − | 2.22714i | −0.905293 | − | 0.0861064i | ||||
\(670\) | −2.36621 | − | 13.4195i | −0.0914148 | − | 0.518439i | ||||
\(671\) | 3.06679 | − | 3.65486i | 0.118392 | − | 0.141094i | ||||
\(672\) | 0.112732 | − | 0.237057i | 0.00434873 | − | 0.00914467i | ||||
\(673\) | 40.1515 | + | 23.1815i | 1.54773 | + | 0.893581i | 0.998315 | + | 0.0580305i | \(0.0184821\pi\) |
0.549413 | + | 0.835551i | \(0.314851\pi\) | |||||||
\(674\) | 8.41055 | + | 23.1078i | 0.323962 | + | 0.890079i | ||||
\(675\) | −16.2183 | − | 8.01555i | −0.624243 | − | 0.308519i | ||||
\(676\) | 9.55184 | + | 16.5443i | 0.367378 | + | 0.636318i | ||||
\(677\) | −31.6194 | −1.21523 | −0.607617 | − | 0.794230i | \(-0.707874\pi\) | ||||
−0.607617 | + | 0.794230i | \(0.707874\pi\) | |||||||
\(678\) | −1.17088 | + | 12.3103i | −0.0449675 | + | 0.472774i | ||||
\(679\) | 1.04716 | − | 0.184643i | 0.0401864 | − | 0.00708594i | ||||
\(680\) | −5.39858 | + | 1.96492i | −0.207026 | + | 0.0753514i | ||||
\(681\) | −9.79211 | + | 9.64511i | −0.375234 | + | 0.369601i | ||||
\(682\) | −6.57235 | − | 37.2736i | −0.251668 | − | 1.42728i | ||||
\(683\) | 9.45932 | 0.361951 | 0.180975 | − | 0.983488i | \(-0.442075\pi\) | ||||
0.180975 | + | 0.983488i | \(0.442075\pi\) | |||||||
\(684\) | −2.61252 | − | 12.8131i | −0.0998923 | − | 0.489920i | ||||
\(685\) | 5.40631 | 0.206565 | ||||||||
\(686\) | −0.367831 | − | 2.08607i | −0.0140439 | − | 0.0796467i | ||||
\(687\) | 28.5129 | + | 7.87161i | 1.08784 | + | 0.300321i | ||||
\(688\) | −5.90711 | + | 2.15001i | −0.225206 | + | 0.0819684i | ||||
\(689\) | 29.1527 | − | 5.14041i | 1.11063 | − | 0.195834i | ||||
\(690\) | −10.9047 | − | 7.75909i | −0.415134 | − | 0.295383i | ||||
\(691\) | −39.5236 | −1.50355 | −0.751775 | − | 0.659420i | \(-0.770802\pi\) | ||||
−0.751775 | + | 0.659420i | \(0.770802\pi\) | |||||||
\(692\) | 4.36852 | + | 7.56650i | 0.166066 | + | 0.287635i | ||||
\(693\) | −1.90389 | − | 0.0287989i | −0.0723229 | − | 0.00109398i | ||||
\(694\) | −7.27206 | − | 19.9798i | −0.276044 | − | 0.758424i | ||||
\(695\) | 23.3990 | + | 13.5094i | 0.887574 | + | 0.512441i | ||||
\(696\) | −14.9555 | + | 1.19454i | −0.566887 | + | 0.0452790i | ||||
\(697\) | 35.8238 | − | 42.6932i | 1.35692 | − | 1.61712i | ||||
\(698\) | −4.86840 | − | 27.6101i | −0.184272 | − | 1.04506i | ||||
\(699\) | 22.3531 | − | 31.4152i | 0.845472 | − | 1.18823i | ||||
\(700\) | 0.404200 | − | 0.339164i | 0.0152773 | − | 0.0128192i | ||||
\(701\) | −7.11248 | + | 19.5414i | −0.268634 | + | 0.738067i | 0.729880 | + | 0.683576i | \(0.239576\pi\) |
−0.998514 | + | 0.0544916i | \(0.982646\pi\) | |||||||
\(702\) | 6.97290 | + | 28.6038i | 0.263175 | + | 1.07958i | ||||
\(703\) | 13.5599 | + | 10.4460i | 0.511423 | + | 0.393977i | ||||
\(704\) | −3.62692 | + | 2.09401i | −0.136695 | + | 0.0789208i | ||||
\(705\) | 6.50469 | + | 1.79576i | 0.244981 | + | 0.0676322i | ||||
\(706\) | −3.26548 | + | 8.97184i | −0.122898 | + | 0.337660i | ||||
\(707\) | −0.167371 | − | 0.459847i | −0.00629462 | − | 0.0172943i | ||||
\(708\) | −11.5982 | − | 3.20193i | −0.435888 | − | 0.120336i | ||||
\(709\) | 40.3486 | − | 14.6857i | 1.51532 | − | 0.551533i | 0.555349 | − | 0.831618i | \(-0.312585\pi\) |
0.959975 | + | 0.280085i | \(0.0903625\pi\) | |||||||
\(710\) | −2.01697 | − | 1.16450i | −0.0756954 | − | 0.0437027i | ||||
\(711\) | −1.72585 | − | 0.657887i | −0.0647245 | − | 0.0246727i | ||||
\(712\) | 0.704396 | − | 0.256379i | 0.0263984 | − | 0.00960822i | ||||
\(713\) | 43.4120 | + | 36.4270i | 1.62579 | + | 1.36420i | ||||
\(714\) | −0.0974418 | − | 1.21996i | −0.00364667 | − | 0.0456558i | ||||
\(715\) | 25.3226 | − | 14.6200i | 0.947011 | − | 0.546757i | ||||
\(716\) | −6.70816 | − | 5.62882i | −0.250696 | − | 0.210359i | ||||
\(717\) | −30.3091 | + | 7.87613i | −1.13192 | + | 0.294139i | ||||
\(718\) | 5.22048 | + | 0.920511i | 0.194826 | + | 0.0343532i | ||||
\(719\) | −2.15331 | + | 0.379686i | −0.0803048 | + | 0.0141599i | −0.213656 | − | 0.976909i | \(-0.568537\pi\) |
0.133351 | + | 0.991069i | \(0.457426\pi\) | |||||||
\(720\) | −0.696913 | + | 3.63041i | −0.0259724 | + | 0.135297i | ||||
\(721\) | − | 0.0547825i | − | 0.00204021i | ||||||
\(722\) | 17.2503 | − | 7.96415i | 0.641989 | − | 0.296395i | ||||
\(723\) | −18.1795 | + | 12.5256i | −0.676104 | + | 0.465833i | ||||
\(724\) | −5.00382 | − | 5.96332i | −0.185966 | − | 0.221625i | ||||
\(725\) | −28.3391 | − | 10.3146i | −1.05249 | − | 0.383075i | ||||
\(726\) | 9.22884 | + | 6.56667i | 0.342514 | + | 0.243712i | ||||
\(727\) | −5.96682 | − | 2.17174i | −0.221297 | − | 0.0805455i | 0.228992 | − | 0.973428i | \(-0.426457\pi\) |
−0.450289 | + | 0.892883i | \(0.648679\pi\) | |||||||
\(728\) | −0.845653 | − | 0.149111i | −0.0313420 | − | 0.00552644i | ||||
\(729\) | −1.22472 | + | 26.9722i | −0.0453599 | + | 0.998971i | ||||
\(730\) | −10.2392 | + | 5.91159i | −0.378969 | + | 0.218798i | ||||
\(731\) | −18.8390 | + | 22.4515i | −0.696786 | + | 0.830397i | ||||
\(732\) | 1.79458 | − | 0.820359i | 0.0663294 | − | 0.0303213i | ||||
\(733\) | −44.1884 | −1.63214 | −0.816068 | − | 0.577957i | \(-0.803850\pi\) | ||||
−0.816068 | + | 0.577957i | \(0.803850\pi\) | |||||||
\(734\) | 1.05216 | + | 1.82239i | 0.0388359 | + | 0.0672658i | ||||
\(735\) | 6.19096 | + | 13.5430i | 0.228357 | + | 0.499542i | ||||
\(736\) | 2.14469 | − | 5.89249i | 0.0790544 | − | 0.217200i | ||||
\(737\) | −35.4775 | − | 29.7692i | −1.30683 | − | 1.09656i | ||||
\(738\) | −11.7541 | − | 33.8801i | −0.432676 | − | 1.24714i | ||||
\(739\) | 2.11001 | + | 0.767982i | 0.0776181 | + | 0.0282507i | 0.380537 | − | 0.924766i | \(-0.375739\pi\) |
−0.302919 | + | 0.953016i | \(0.597961\pi\) | |||||||
\(740\) | −2.41943 | − | 4.19057i | −0.0889399 | − | 0.154048i | ||||
\(741\) | −38.1293 | + | 19.3924i | −1.40072 | + | 0.712397i | ||||
\(742\) | −0.395898 | + | 0.685715i | −0.0145339 | + | 0.0251734i | ||||
\(743\) | 24.8554 | − | 20.8561i | 0.911854 | − | 0.765137i | −0.0606165 | − | 0.998161i | \(-0.519307\pi\) |
0.972471 | + | 0.233024i | \(0.0748622\pi\) | |||||||
\(744\) | 4.16557 | − | 15.0888i | 0.152717 | − | 0.553181i | ||||
\(745\) | 0.420487 | − | 2.38470i | 0.0154055 | − | 0.0873687i | ||||
\(746\) | −2.00452 | − | 2.38889i | −0.0733905 | − | 0.0874634i | ||||
\(747\) | 16.9279 | + | 30.3718i | 0.619359 | + | 1.11124i | ||||
\(748\) | −9.76291 | + | 16.9099i | −0.356968 | + | 0.618286i | ||||
\(749\) | −1.19791 | + | 2.07483i | −0.0437705 | + | 0.0758127i | ||||
\(750\) | −10.4948 | + | 14.7495i | −0.383217 | + | 0.538576i | ||||
\(751\) | −28.3950 | − | 5.00681i | −1.03615 | − | 0.182701i | −0.370397 | − | 0.928874i | \(-0.620778\pi\) |
−0.665753 | + | 0.746173i | \(0.731889\pi\) | |||||||
\(752\) | 3.16172i | 0.115296i | ||||||||
\(753\) | 5.62753 | + | 2.67616i | 0.205079 | + | 0.0975246i | ||||
\(754\) | 16.7861 | + | 46.1195i | 0.611315 | + | 1.67957i | ||||
\(755\) | −6.52860 | + | 5.47814i | −0.237600 | + | 0.199370i | ||||
\(756\) | −0.705975 | − | 0.348913i | −0.0256761 | − | 0.0126898i | ||||
\(757\) | −6.92406 | − | 39.2683i | −0.251659 | − | 1.42723i | −0.804505 | − | 0.593946i | \(-0.797569\pi\) |
0.552846 | − | 0.833284i | \(-0.313542\pi\) | |||||||
\(758\) | −20.8670 | + | 3.67942i | −0.757925 | + | 0.133643i | ||||
\(759\) | −45.3420 | + | 3.62161i | −1.64581 | + | 0.131456i | ||||
\(760\) | −5.36650 | + | 0.224075i | −0.194663 | + | 0.00812807i | ||||
\(761\) | 23.2754 | + | 13.4381i | 0.843734 | + | 0.487130i | 0.858532 | − | 0.512761i | \(-0.171377\pi\) |
−0.0147980 | + | 0.999891i | \(0.504711\pi\) | |||||||
\(762\) | 9.30386 | − | 2.41770i | 0.337043 | − | 0.0875840i | ||||
\(763\) | −1.13454 | − | 1.35210i | −0.0410733 | − | 0.0489492i | ||||
\(764\) | 11.8158 | − | 14.0815i | 0.427480 | − | 0.509451i | ||||
\(765\) | 5.64914 | + | 16.2831i | 0.204245 | + | 0.588715i | ||||
\(766\) | 0.402871 | − | 2.28480i | 0.0145563 | − | 0.0825531i | ||||
\(767\) | 39.3602i | 1.42122i | ||||||||
\(768\) | −1.72655 | + | 0.137905i | −0.0623016 | + | 0.00497622i | ||||
\(769\) | 3.30147 | − | 18.7236i | 0.119054 | − | 0.675189i | −0.865609 | − | 0.500721i | \(-0.833068\pi\) |
0.984663 | − | 0.174468i | \(-0.0558205\pi\) | |||||||
\(770\) | −0.135811 | + | 0.770220i | −0.00489427 | + | 0.0277568i | ||||
\(771\) | 49.2061 | − | 3.93024i | 1.77211 | − | 0.141544i | ||||
\(772\) | − | 7.68556i | − | 0.276609i | ||||||
\(773\) | −8.41729 | + | 47.7368i | −0.302749 | + | 1.71698i | 0.331166 | + | 0.943572i | \(0.392558\pi\) |
−0.633915 | + | 0.773403i | \(0.718553\pi\) | |||||||
\(774\) | 6.18127 | + | 17.8168i | 0.222181 | + | 0.640413i | ||||
\(775\) | 20.2250 | − | 24.1033i | 0.726505 | − | 0.865815i | ||||
\(776\) | −4.50990 | − | 5.37468i | −0.161896 | − | 0.192940i | ||||
\(777\) | 0.997664 | − | 0.259253i | 0.0357910 | − | 0.00930064i | ||||
\(778\) | 15.0095 | + | 8.66572i | 0.538115 | + | 0.310681i | ||||
\(779\) | 43.9981 | − | 27.9123i | 1.57640 | − | 1.00006i | ||||
\(780\) | 12.0545 | − | 0.962831i | 0.431621 | − | 0.0344749i | ||||
\(781\) | −7.79533 | + | 1.37453i | −0.278939 | + | 0.0491845i | ||||
\(782\) | −5.07674 | − | 28.7916i | −0.181544 | − | 1.02959i | ||||
\(783\) | 2.90463 | + | 44.9156i | 0.103803 | + | 1.60515i | ||||
\(784\) | −5.34472 | + | 4.48475i | −0.190883 | + | 0.160170i | ||||
\(785\) | −7.91483 | − | 21.7458i | −0.282492 | − | 0.776142i | ||||
\(786\) | 3.09003 | + | 1.46945i | 0.110218 | + | 0.0524137i | ||||
\(787\) | − | 21.1601i | − | 0.754275i | −0.926157 | − | 0.377137i | \(-0.876908\pi\) | ||
0.926157 | − | 0.377137i | \(-0.123092\pi\) | |||||||
\(788\) | 4.74483 | + | 0.836642i | 0.169028 | + | 0.0298042i | ||||
\(789\) | 4.27311 | − | 6.00545i | 0.152127 | − | 0.213800i | ||||
\(790\) | −0.379321 | + | 0.657002i | −0.0134956 | + | 0.0233751i | ||||
\(791\) | −0.540999 | + | 0.937038i | −0.0192357 | + | 0.0333172i | ||||
\(792\) | 6.11673 | + | 10.9745i | 0.217349 | + | 0.389963i | ||||
\(793\) | −4.14910 | − | 4.94470i | −0.147339 | − | 0.175592i | ||||
\(794\) | 6.20249 | − | 35.1761i | 0.220118 | − | 1.24835i | ||||
\(795\) | 2.96739 | − | 10.7486i | 0.105242 | − | 0.381215i | ||||
\(796\) | 9.65026 | − | 8.09753i | 0.342044 | − | 0.287009i | ||||
\(797\) | 3.34795 | − | 5.79881i | 0.118590 | − | 0.205404i | −0.800619 | − | 0.599174i | \(-0.795496\pi\) |
0.919209 | + | 0.393769i | \(0.128829\pi\) | |||||||
\(798\) | 0.258212 | − | 1.11468i | 0.00914060 | − | 0.0394593i | ||||
\(799\) | 7.37047 | + | 12.7660i | 0.260748 | + | 0.451630i | ||||
\(800\) | −3.27164 | − | 1.19078i | −0.115670 | − | 0.0421004i | ||||
\(801\) | −0.737089 | − | 2.12458i | −0.0260437 | − | 0.0750683i | ||||
\(802\) | −1.63438 | − | 1.37141i | −0.0577121 | − | 0.0484262i | ||||
\(803\) | −13.7436 | + | 37.7603i | −0.485002 | + | 1.33253i | ||||
\(804\) | −7.96318 | − | 17.4198i | −0.280840 | − | 0.614350i | ||||
\(805\) | −0.585516 | − | 1.01414i | −0.0206367 | − | 0.0357439i | ||||
\(806\) | −51.2059 | −1.80365 | ||||||||
\(807\) | 37.2191 | − | 17.0141i | 1.31017 | − | 0.598924i | ||||
\(808\) | −2.07554 | + | 2.47354i | −0.0730174 | + | 0.0870187i | ||||
\(809\) | 0.239238 | − | 0.138124i | 0.00841116 | − | 0.00485619i | −0.495789 | − | 0.868443i | \(-0.665121\pi\) |
0.504200 | + | 0.863587i | \(0.331788\pi\) | |||||||
\(810\) | 10.8584 | + | 2.25522i | 0.381524 | + | 0.0792405i | ||||
\(811\) | −15.6274 | − | 2.75553i | −0.548752 | − | 0.0967597i | −0.107603 | − | 0.994194i | \(-0.534318\pi\) |
−0.441148 | + | 0.897434i | \(0.645429\pi\) | |||||||
\(812\) | −1.23359 | − | 0.448990i | −0.0432905 | − | 0.0157564i | ||||
\(813\) | −45.0562 | − | 32.0592i | −1.58019 | − | 1.12437i | ||||
\(814\) | −15.4541 | − | 5.62483i | −0.541666 | − | 0.197150i | ||||
\(815\) | 9.13991 | + | 10.8925i | 0.320157 | + | 0.381548i | ||||
\(816\) | −6.64979 | + | 4.58168i | −0.232789 | + | 0.160391i | ||||
\(817\) | −23.1377 | + | 14.6785i | −0.809486 | + | 0.513536i | ||||
\(818\) | − | 1.22650i | − | 0.0428837i | ||||||
\(819\) | −0.485654 | + | 2.52990i | −0.0169701 | + | 0.0884019i | ||||
\(820\) | −14.5060 | + | 2.55779i | −0.506570 | + | 0.0893220i | ||||
\(821\) | −33.5466 | − | 5.91517i | −1.17078 | − | 0.206441i | −0.445752 | − | 0.895157i | \(-0.647064\pi\) |
−0.725031 | + | 0.688716i | \(0.758175\pi\) | |||||||
\(822\) | 7.35495 | − | 1.91126i | 0.256533 | − | 0.0666627i | ||||
\(823\) | 0.656381 | + | 0.550769i | 0.0228800 | + | 0.0191986i | 0.654156 | − | 0.756360i | \(-0.273024\pi\) |
−0.631276 | + | 0.775558i | \(0.717468\pi\) | |||||||
\(824\) | −0.313047 | + | 0.180738i | −0.0109055 | + | 0.00629630i | ||||
\(825\) | 2.01079 | + | 25.1749i | 0.0700068 | + | 0.876476i | ||||
\(826\) | −0.806487 | − | 0.676723i | −0.0280613 | − | 0.0235462i | ||||
\(827\) | −25.1865 | + | 9.16712i | −0.875819 | + | 0.318772i | −0.740521 | − | 0.672033i | \(-0.765421\pi\) |
−0.135298 | + | 0.990805i | \(0.543199\pi\) | |||||||
\(828\) | −17.5781 | − | 6.70070i | −0.610883 | − | 0.232866i | ||||
\(829\) | −11.5202 | − | 6.65117i | −0.400112 | − | 0.231005i | 0.286420 | − | 0.958104i | \(-0.407535\pi\) |
−0.686532 | + | 0.727099i | \(0.740868\pi\) | |||||||
\(830\) | 13.4205 | − | 4.88467i | 0.465833 | − | 0.169549i | ||||
\(831\) | 7.19197 | + | 1.98550i | 0.249487 | + | 0.0688762i | ||||
\(832\) | 1.93789 | + | 5.32431i | 0.0671842 | + | 0.184587i | ||||
\(833\) | −11.1256 | + | 30.5674i | −0.385480 | + | 1.05910i | ||||
\(834\) | 36.6087 | + | 10.1066i | 1.26766 | + | 0.349964i | ||||
\(835\) | 4.68874 | − | 2.70704i | 0.162260 | − | 0.0936811i | ||||
\(836\) | −13.4825 | + | 12.3073i | −0.466303 | + | 0.425658i | ||||
\(837\) | −45.0721 | − | 13.1799i | −1.55792 | − | 0.455565i | ||||
\(838\) | −2.61145 | + | 7.17489i | −0.0902110 | + | 0.247853i | ||||
\(839\) | 12.4762 | − | 10.4688i | 0.430727 | − | 0.361423i | −0.401499 | − | 0.915859i | \(-0.631511\pi\) |
0.832226 | + | 0.554437i | \(0.187066\pi\) | |||||||
\(840\) | −0.187526 | + | 0.263550i | −0.00647025 | + | 0.00909333i | ||||
\(841\) | 7.99326 | + | 45.3320i | 0.275630 | + | 1.56317i | ||||
\(842\) | 12.4583 | − | 14.8472i | 0.429342 | − | 0.511669i | ||||
\(843\) | −20.6348 | + | 1.64816i | −0.710700 | + | 0.0567658i | ||||
\(844\) | 9.08860 | + | 5.24730i | 0.312842 | + | 0.180620i | ||||
\(845\) | −8.05121 | − | 22.1205i | −0.276970 | − | 0.760969i | ||||
\(846\) | 9.48408 | + | 0.143459i | 0.326069 | + | 0.00493223i | ||||
\(847\) | 0.495534 | + | 0.858290i | 0.0170267 | + | 0.0294912i | ||||
\(848\) | 5.22456 | 0.179412 | ||||||||
\(849\) | −2.27026 | − | 1.61538i | −0.0779151 | − | 0.0554395i | ||||
\(850\) | −15.9857 | + | 2.81872i | −0.548306 | + | 0.0966812i | ||||
\(851\) | 23.1392 | − | 8.42199i | 0.793202 | − | 0.288702i | ||||
\(852\) | −3.15563 | − | 0.871180i | −0.108110 | − | 0.0298461i | ||||
\(853\) | −6.57869 | − | 37.3096i | −0.225250 | − | 1.27746i | −0.862207 | − | 0.506557i | \(-0.830918\pi\) |
0.636957 | − | 0.770900i | \(-0.280193\pi\) | |||||||
\(854\) | 0.172652 | 0.00590804 | ||||||||
\(855\) | 0.428651 | + | 16.1078i | 0.0146595 | + | 0.550876i | ||||
\(856\) | 15.8085 | 0.540322 | ||||||||
\(857\) | −5.35564 | − | 30.3734i | −0.182945 | − | 1.03753i | −0.928567 | − | 0.371165i | \(-0.878958\pi\) |
0.745622 | − | 0.666370i | \(-0.232153\pi\) | |||||||
\(858\) | 29.2813 | − | 28.8417i | 0.999647 | − | 0.984641i | ||||
\(859\) | 18.7388 | − | 6.82035i | 0.639358 | − | 0.232707i | −0.00194129 | − | 0.999998i | \(-0.500618\pi\) |
0.641299 | + | 0.767291i | \(0.278396\pi\) | |||||||
\(860\) | 7.62839 | − | 1.34509i | 0.260126 | − | 0.0458672i | ||||
\(861\) | 0.297110 | − | 3.12371i | 0.0101255 | − | 0.106456i | ||||
\(862\) | 23.4379 | 0.798297 | ||||||||
\(863\) | 1.51655 | + | 2.62674i | 0.0516240 | + | 0.0894154i | 0.890683 | − | 0.454626i | \(-0.150227\pi\) |
−0.839059 | + | 0.544041i | \(0.816894\pi\) | |||||||
\(864\) | 0.335328 | + | 5.18532i | 0.0114081 | + | 0.176408i | ||||
\(865\) | −3.68221 | − | 10.1168i | −0.125199 | − | 0.343981i | ||||
\(866\) | 1.12587 | + | 0.650022i | 0.0382587 | + | 0.0220886i | ||||
\(867\) | −3.52374 | + | 7.40987i | −0.119673 | + | 0.251652i | ||||
\(868\) | 0.880386 | − | 1.04920i | 0.0298823 | − | 0.0356123i | ||||
\(869\) | 0.447736 | + | 2.53924i | 0.0151884 | + | 0.0861377i | ||||
\(870\) | 18.4043 | + | 1.75051i | 0.623963 | + | 0.0593479i | ||||
\(871\) | −47.9980 | + | 40.2751i | −1.62635 | + | 1.36467i | ||||
\(872\) | −3.98330 | + | 10.9440i | −0.134891 | + | 0.370611i | ||||
\(873\) | −16.3268 | + | 13.2843i | −0.552580 | + | 0.449604i | ||||
\(874\) | 3.61926 | − | 27.0925i | 0.122423 | − | 0.916417i | ||||
\(875\) | −1.37172 | + | 0.791961i | −0.0463725 | + | 0.0267732i | ||||
\(876\) | −11.8399 | + | 11.6621i | −0.400032 | + | 0.394027i | ||||
\(877\) | 14.4218 | − | 39.6235i | 0.486989 | − | 1.33799i | −0.416404 | − | 0.909179i | \(-0.636710\pi\) |
0.903394 | − | 0.428812i | \(-0.141068\pi\) | |||||||
\(878\) | 1.65965 | + | 4.55984i | 0.0560103 | + | 0.153887i | ||||
\(879\) | −1.80079 | − | 6.92987i | −0.0607393 | − | 0.233739i | ||||
\(880\) | 4.84938 | − | 1.76503i | 0.163472 | − | 0.0594991i | ||||
\(881\) | 39.3323 | + | 22.7085i | 1.32514 | + | 0.765069i | 0.984543 | − | 0.175141i | \(-0.0560381\pi\) |
0.340595 | + | 0.940210i | \(0.389371\pi\) | |||||||
\(882\) | 13.2102 | + | 16.2358i | 0.444811 | + | 0.546688i | ||||
\(883\) | −25.2236 | + | 9.18064i | −0.848842 | + | 0.308953i | −0.729568 | − | 0.683908i | \(-0.760279\pi\) |
−0.119274 | + | 0.992861i | \(0.538057\pi\) | |||||||
\(884\) | 20.2364 | + | 16.9803i | 0.680624 | + | 0.571111i | ||||
\(885\) | 13.3894 | + | 6.36731i | 0.450081 | + | 0.214035i | ||||
\(886\) | 12.7980 | − | 7.38893i | 0.429957 | − | 0.248236i | ||||
\(887\) | −30.8448 | − | 25.8818i | −1.03567 | − | 0.869027i | −0.0441521 | − | 0.999025i | \(-0.514059\pi\) |
−0.991514 | + | 0.129997i | \(0.958503\pi\) | |||||||
\(888\) | −4.77294 | − | 4.84568i | −0.160169 | − | 0.162611i | ||||
\(889\) | 0.828336 | + | 0.146058i | 0.0277815 | + | 0.00489863i | ||||
\(890\) | −0.909651 | + | 0.160396i | −0.0304916 | + | 0.00537649i | ||||
\(891\) | 33.1974 | − | 17.8501i | 1.11215 | − | 0.598002i | ||||
\(892\) | 13.5799i | 0.454690i | ||||||||
\(893\) | 2.95728 | + | 13.4606i | 0.0989615 | + | 0.450442i | ||||
\(894\) | −0.271001 | − | 3.39289i | −0.00906362 | − | 0.113475i | ||||
\(895\) | 6.93601 | + | 8.26601i | 0.231845 | + | 0.276302i | ||||
\(896\) | −0.142413 | − | 0.0518340i | −0.00475768 | − | 0.00173165i | ||||
\(897\) | −5.82695 | + | 61.2626i | −0.194556 | + | 2.04550i | ||||
\(898\) | −5.90883 | − | 2.15064i | −0.197180 | − | 0.0717678i | ||||
\(899\) | −77.0931 | − | 13.5936i | −2.57120 | − | 0.453372i | ||||
\(900\) | −3.72037 | + | 9.75976i | −0.124012 | + | 0.325325i | ||||
\(901\) | 21.0951 | − | 12.1793i | 0.702781 | − | 0.405751i | ||||
\(902\) | −32.1794 | + | 38.3499i | −1.07146 | + | 1.27691i | ||||
\(903\) | −0.156244 | + | 1.64270i | −0.00519947 | + | 0.0546655i | ||||
\(904\) | 7.13942 | 0.237454 | ||||||||
\(905\) | 4.79619 | + | 8.30725i | 0.159431 | + | 0.276142i | ||||
\(906\) | −6.94510 | + | 9.76069i | −0.230736 | + | 0.324277i | ||||
\(907\) | 18.5078 | − | 50.8497i | 0.614541 | − | 1.68844i | −0.105423 | − | 0.994427i | \(-0.533620\pi\) |
0.719965 | − | 0.694011i | \(-0.244158\pi\) | |||||||
\(908\) | 6.07890 | + | 5.10080i | 0.201735 | + | 0.169276i | ||||
\(909\) | 7.32559 | + | 6.33815i | 0.242974 | + | 0.210223i | ||||
\(910\) | 0.994303 | + | 0.361897i | 0.0329608 | + | 0.0119968i | ||||
\(911\) | −21.1475 | − | 36.6286i | −0.700648 | − | 1.21356i | −0.968239 | − | 0.250026i | \(-0.919561\pi\) |
0.267591 | − | 0.963533i | \(-0.413772\pi\) | |||||||
\(912\) | −7.22157 | + | 2.20202i | −0.239130 | + | 0.0729162i | ||||
\(913\) | 24.2700 | − | 42.0368i | 0.803219 | − | 1.39122i | ||||
\(914\) | 3.19232 | − | 2.67867i | 0.105593 | − | 0.0886027i | ||||
\(915\) | −2.35327 | + | 0.611521i | −0.0777968 | + | 0.0202163i | ||||
\(916\) | 2.96552 | − | 16.8183i | 0.0979836 | − | 0.555693i | ||||
\(917\) | 0.192443 | + | 0.229345i | 0.00635504 | + | 0.00757364i | ||||
\(918\) | 13.4418 | + | 20.1550i | 0.443644 | + | 0.665214i | ||||
\(919\) | 6.68902 | − | 11.5857i | 0.220650 | − | 0.382178i | −0.734355 | − | 0.678765i | \(-0.762515\pi\) |
0.955006 | + | 0.296588i | \(0.0958487\pi\) | |||||||
\(920\) | −3.86345 | + | 6.69170i | −0.127374 | + | 0.220619i | ||||
\(921\) | 1.46350 | + | 3.20148i | 0.0482241 | + | 0.105492i | ||||
\(922\) | −5.55968 | − | 0.980321i | −0.183098 | − | 0.0322852i | ||||
\(923\) | 10.7091i | 0.352494i | ||||||||
\(924\) | 0.0875288 | + | 1.09585i | 0.00287949 | + | 0.0360508i | ||||
\(925\) | −4.67607 | − | 12.8474i | −0.153748 | − | 0.422420i | ||||
\(926\) | 1.97053 | − | 1.65347i | 0.0647555 | − | 0.0543363i | ||||
\(927\) | 0.527947 | + | 0.947234i | 0.0173401 | + | 0.0311113i | ||||
\(928\) | 1.50415 | + | 8.53047i | 0.0493762 | + | 0.280026i | ||||
\(929\) | −2.22452 | + | 0.392242i | −0.0729840 | + | 0.0128691i | −0.210021 | − | 0.977697i | \(-0.567353\pi\) |
0.137037 | + | 0.990566i | \(0.456242\pi\) | |||||||
\(930\) | −8.28359 | + | 17.4191i | −0.271630 | + | 0.571193i | ||||
\(931\) | −18.5596 | + | 24.0923i | −0.608268 | + | 0.789594i | ||||
\(932\) | −19.2781 | − | 11.1302i | −0.631474 | − | 0.364581i | ||||
\(933\) | 20.4987 | + | 20.8111i | 0.671096 | + | 0.681324i | ||||
\(934\) | 12.5492 | + | 14.9556i | 0.410623 | + | 0.489361i | ||||
\(935\) | 15.4657 | − | 18.4313i | 0.505782 | − | 0.602768i | ||||
\(936\) | 16.0590 | − | 5.57142i | 0.524906 | − | 0.182108i | ||||
\(937\) | −4.45373 | + | 25.2583i | −0.145497 | + | 0.825154i | 0.821470 | + | 0.570252i | \(0.193154\pi\) |
−0.966967 | + | 0.254902i | \(0.917957\pi\) | |||||||
\(938\) | − | 1.67593i | − | 0.0547209i | ||||||
\(939\) | −12.7712 | + | 26.8558i | −0.416773 | + | 0.876407i | ||||
\(940\) | 0.676528 | − | 3.83678i | 0.0220659 | − | 0.125142i | ||||
\(941\) | 7.49046 | − | 42.4805i | 0.244182 | − | 1.38482i | −0.578203 | − | 0.815893i | \(-0.696246\pi\) |
0.822385 | − | 0.568932i | \(-0.192643\pi\) | |||||||
\(942\) | −18.4553 | − | 26.7858i | −0.601306 | − | 0.872727i | ||||
\(943\) | − | 74.9576i | − | 2.44096i | ||||||
\(944\) | −1.20629 | + | 6.84119i | −0.0392613 | + | 0.222662i | ||||
\(945\) | 0.782050 | + | 0.574471i | 0.0254401 | + | 0.0186875i | ||||
\(946\) | 16.9225 | − | 20.1674i | 0.550198 | − | 0.655700i | ||||
\(947\) | −17.5830 | − | 20.9546i | −0.571370 | − | 0.680932i | 0.400542 | − | 0.916279i | \(-0.368822\pi\) |
−0.971912 | + | 0.235346i | \(0.924378\pi\) | |||||||
\(948\) | −0.283776 | + | 1.02791i | −0.00921663 | + | 0.0333850i | ||||
\(949\) | 47.0815 | + | 27.1825i | 1.52833 | + | 0.882381i | ||||
\(950\) | −15.0423 | − | 2.00949i | −0.488038 | − | 0.0651965i | ||||
\(951\) | −31.3101 | − | 45.4430i | −1.01530 | − | 1.47359i | ||||
\(952\) | −0.695851 | + | 0.122697i | −0.0225527 | + | 0.00397664i | ||||
\(953\) | 0.280284 | + | 1.58957i | 0.00907930 | + | 0.0514913i | 0.989011 | − | 0.147843i | \(-0.0472331\pi\) |
−0.979932 | + | 0.199334i | \(0.936122\pi\) | |||||||
\(954\) | 0.237058 | − | 15.6719i | 0.00767504 | − | 0.507396i | ||||
\(955\) | −17.3517 | + | 14.5598i | −0.561487 | + | 0.471144i | ||||
\(956\) | 6.18378 | + | 16.9898i | 0.199998 | + | 0.549489i | ||||
\(957\) | 51.7411 | − | 35.6494i | 1.67255 | − | 1.15238i | ||||
\(958\) | 13.1662i | 0.425382i | ||||||||
\(959\) | 0.654822 | + | 0.115463i | 0.0211453 | + | 0.00372849i | ||||
\(960\) | 2.12470 | + | 0.202089i | 0.0685744 | + | 0.00652240i | ||||
\(961\) | 25.3371 | − | 43.8852i | 0.817326 | − | 1.41565i | ||||
\(962\) | −11.1249 | + | 19.2689i | −0.358682 | + | 0.621256i | ||||
\(963\) | 0.717289 | − | 47.4199i | 0.0231143 | − | 1.52809i | ||||
\(964\) | 8.19302 | + | 9.76406i | 0.263879 | + | 0.314479i | ||||
\(965\) | −1.64452 | + | 9.32651i | −0.0529388 | + | 0.300231i | ||||
\(966\) | −1.15508 | − | 1.17269i | −0.0371641 | − | 0.0377305i | ||||
\(967\) | 3.51047 | − | 2.94563i | 0.112889 | − | 0.0947252i | −0.584596 | − | 0.811325i | \(-0.698747\pi\) |
0.697485 | + | 0.716600i | \(0.254302\pi\) | |||||||
\(968\) | 3.26972 | − | 5.66332i | 0.105093 | − | 0.182026i | ||||
\(969\) | −24.0252 | + | 25.7257i | −0.771799 | + | 0.826428i | ||||
\(970\) | 4.32276 | + | 7.48724i | 0.138796 | + | 0.240401i | ||||
\(971\) | 34.5382 | + | 12.5709i | 1.10838 | + | 0.403419i | 0.830401 | − | 0.557167i | \(-0.188112\pi\) |
0.277984 | + | 0.960586i | \(0.410334\pi\) | |||||||
\(972\) | 15.5694 | − | 0.770590i | 0.499389 | − | 0.0247167i | ||||
\(973\) | 2.54560 | + | 2.13602i | 0.0816083 | + | 0.0684775i | ||||
\(974\) | −0.386864 | + | 1.06290i | −0.0123959 | + | 0.0340575i | ||||
\(975\) | 34.0143 | + | 3.23525i | 1.08933 | + | 0.103611i | ||||
\(976\) | −0.569612 | − | 0.986596i | −0.0182328 | − | 0.0315802i | ||||
\(977\) | 14.0044 | 0.448040 | 0.224020 | − | 0.974585i | \(-0.428082\pi\) | ||||
0.224020 | + | 0.974585i | \(0.428082\pi\) | |||||||
\(978\) | 16.2850 | + | 11.5874i | 0.520738 | + | 0.370525i | ||||
\(979\) | −2.01793 | + | 2.40488i | −0.0644934 | + | 0.0768602i | ||||
\(980\) | 7.44550 | − | 4.29866i | 0.237838 | − | 0.137316i | ||||
\(981\) | 32.6476 | + | 12.4451i | 1.04236 | + | 0.397341i | ||||
\(982\) | 17.3896 | + | 3.06626i | 0.554925 | + | 0.0978483i | ||||
\(983\) | 20.8618 | + | 7.59308i | 0.665389 | + | 0.242182i | 0.652561 | − | 0.757736i | \(-0.273695\pi\) |
0.0128276 | + | 0.999918i | \(0.495917\pi\) | |||||||
\(984\) | −18.8302 | + | 8.60791i | −0.600285 | + | 0.274410i | ||||
\(985\) | −5.57889 | − | 2.03055i | −0.177758 | − | 0.0646987i | ||||
\(986\) | 25.9592 | + | 30.9369i | 0.826708 | + | 0.985232i | ||||
\(987\) | 0.749508 | + | 0.356427i | 0.0238571 | + | 0.0113452i | ||||
\(988\) | 13.2303 | + | 20.8549i | 0.420913 | + | 0.663484i | ||||
\(989\) | 39.4187i | 1.25344i | ||||||||
\(990\) | −5.07445 | − | 14.6266i | −0.161277 | − | 0.464862i | ||||
\(991\) | 15.9705 | − | 2.81603i | 0.507319 | − | 0.0894541i | 0.0858707 | − | 0.996306i | \(-0.472633\pi\) |
0.421449 | + | 0.906852i | \(0.361522\pi\) | |||||||
\(992\) | −8.90008 | − | 1.56932i | −0.282578 | − | 0.0498261i | ||||
\(993\) | 14.4023 | − | 52.1688i | 0.457043 | − | 1.65553i | ||||
\(994\) | −0.219428 | − | 0.184122i | −0.00695984 | − | 0.00584000i | ||||
\(995\) | −13.4434 | + | 7.76153i | −0.426183 | + | 0.246057i | ||||
\(996\) | 16.5310 | − | 11.3898i | 0.523803 | − | 0.360898i | ||||
\(997\) | −33.0621 | − | 27.7424i | −1.04709 | − | 0.878610i | −0.0543019 | − | 0.998525i | \(-0.517293\pi\) |
−0.992784 | + | 0.119915i | \(0.961738\pi\) | |||||||
\(998\) | 8.69831 | − | 3.16593i | 0.275340 | − | 0.100216i | ||||
\(999\) | −14.7520 | + | 14.0973i | −0.466731 | + | 0.446019i |
(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 | 342.2.bf.b.167.3 | yes | 48 | |
9.2 | odd | 6 | 342.2.x.b.281.5 | yes | 48 | ||
19.14 | odd | 18 | 342.2.x.b.185.5 | ✓ | 48 | ||
171.128 | even | 18 | inner | 342.2.bf.b.299.3 | yes | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
342.2.x.b.185.5 | ✓ | 48 | 19.14 | odd | 18 | ||
342.2.x.b.281.5 | yes | 48 | 9.2 | odd | 6 | ||
342.2.bf.b.167.3 | yes | 48 | 1.1 | even | 1 | trivial | |
342.2.bf.b.299.3 | yes | 48 | 171.128 | even | 18 | inner |