Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [462,2,Mod(25,462)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(462, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([0, 20, 24]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("462.25");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 462 = 2 \cdot 3 \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 462.y (of order \(15\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.68908857338\) |
Analytic rank: | \(0\) |
Dimension: | \(40\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{15})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 163.3 | ||
Character | \(\chi\) | \(=\) | 462.163 |
Dual form | 462.2.y.d.445.3 |
$q$-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 \(\left(\mathbb{Z}/462\mathbb{Z}\right)^\times\).
\(n\) | \(155\) | \(199\) | \(211\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{3}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.669131 | + | 0.743145i | 0.473147 | + | 0.525483i | ||||
\(3\) | −0.913545 | − | 0.406737i | −0.527436 | − | 0.234830i | ||||
\(4\) | −0.104528 | + | 0.994522i | −0.0522642 | + | 0.497261i | ||||
\(5\) | −0.408781 | − | 0.0868890i | −0.182812 | − | 0.0388580i | 0.115596 | − | 0.993296i | \(-0.463122\pi\) |
−0.298408 | + | 0.954438i | \(0.596456\pi\) | |||||||
\(6\) | −0.309017 | − | 0.951057i | −0.126156 | − | 0.388267i | ||||
\(7\) | −2.24058 | − | 1.40705i | −0.846860 | − | 0.531816i | ||||
\(8\) | −0.809017 | + | 0.587785i | −0.286031 | + | 0.207813i | ||||
\(9\) | 0.669131 | + | 0.743145i | 0.223044 | + | 0.247715i | ||||
\(10\) | −0.208957 | − | 0.361923i | −0.0660779 | − | 0.114450i | ||||
\(11\) | −3.16457 | + | 0.992716i | −0.954154 | + | 0.299315i | ||||
\(12\) | 0.500000 | − | 0.866025i | 0.144338 | − | 0.250000i | ||||
\(13\) | −1.95111 | + | 6.00490i | −0.541141 | + | 1.66546i | 0.188853 | + | 0.982005i | \(0.439523\pi\) |
−0.729993 | + | 0.683454i | \(0.760477\pi\) | |||||||
\(14\) | −0.453596 | − | 2.60658i | −0.121229 | − | 0.696637i | ||||
\(15\) | 0.338099 | + | 0.245643i | 0.0872968 | + | 0.0634248i | ||||
\(16\) | −0.978148 | − | 0.207912i | −0.244537 | − | 0.0519779i | ||||
\(17\) | −4.10002 | + | 4.55354i | −0.994401 | + | 1.10439i | 0.000134548 | 1.00000i | \(0.499957\pi\) | |
−0.994536 | + | 0.104395i | \(0.966709\pi\) | |||||||
\(18\) | −0.104528 | + | 0.994522i | −0.0246376 | + | 0.234411i | ||||
\(19\) | 0.354967 | + | 3.37729i | 0.0814351 | + | 0.774803i | 0.956684 | + | 0.291129i | \(0.0940310\pi\) |
−0.875249 | + | 0.483673i | \(0.839302\pi\) | |||||||
\(20\) | 0.129142 | − | 0.397459i | 0.0288771 | − | 0.0888746i | ||||
\(21\) | 1.47457 | + | 2.19673i | 0.321778 | + | 0.479367i | ||||
\(22\) | −2.85524 | − | 1.68748i | −0.608740 | − | 0.359772i | ||||
\(23\) | 4.39833 | − | 7.61812i | 0.917114 | − | 1.58849i | 0.113338 | − | 0.993556i | \(-0.463846\pi\) |
0.803776 | − | 0.594932i | \(-0.202821\pi\) | |||||||
\(24\) | 0.978148 | − | 0.207912i | 0.199664 | − | 0.0424398i | ||||
\(25\) | −4.40818 | − | 1.96265i | −0.881635 | − | 0.392529i | ||||
\(26\) | −5.76806 | + | 2.56810i | −1.13121 | + | 0.503647i | ||||
\(27\) | −0.309017 | − | 0.951057i | −0.0594703 | − | 0.183031i | ||||
\(28\) | 1.63355 | − | 2.08123i | 0.308712 | − | 0.393315i | ||||
\(29\) | −3.21593 | − | 2.33651i | −0.597184 | − | 0.433880i | 0.247694 | − | 0.968838i | \(-0.420327\pi\) |
−0.844878 | + | 0.534959i | \(0.820327\pi\) | |||||||
\(30\) | 0.0436838 | + | 0.415624i | 0.00797554 | + | 0.0758822i | ||||
\(31\) | 2.03863 | − | 0.433325i | 0.366150 | − | 0.0778275i | −0.0211628 | − | 0.999776i | \(-0.506737\pi\) |
0.387312 | + | 0.921949i | \(0.373403\pi\) | |||||||
\(32\) | −0.500000 | − | 0.866025i | −0.0883883 | − | 0.153093i | ||||
\(33\) | 3.29475 | + | 0.380256i | 0.573543 | + | 0.0661940i | ||||
\(34\) | −6.12739 | −1.05084 | ||||||||
\(35\) | 0.793649 | + | 0.769858i | 0.134151 | + | 0.130130i | ||||
\(36\) | −0.809017 | + | 0.587785i | −0.134836 | + | 0.0979642i | ||||
\(37\) | 0.784787 | − | 0.349410i | 0.129018 | − | 0.0574426i | −0.341212 | − | 0.939986i | \(-0.610837\pi\) |
0.470230 | + | 0.882544i | \(0.344171\pi\) | |||||||
\(38\) | −2.27229 | + | 2.52364i | −0.368615 | + | 0.409388i | ||||
\(39\) | 4.22484 | − | 4.69216i | 0.676516 | − | 0.751347i | ||||
\(40\) | 0.381783 | − | 0.169981i | 0.0603651 | − | 0.0268763i | ||||
\(41\) | −3.13451 | + | 2.27736i | −0.489528 | + | 0.355663i | −0.805003 | − | 0.593271i | \(-0.797836\pi\) |
0.315475 | + | 0.948934i | \(0.397836\pi\) | |||||||
\(42\) | −0.645810 | + | 2.56572i | −0.0996507 | + | 0.395899i | ||||
\(43\) | 2.07519 | 0.316463 | 0.158231 | − | 0.987402i | \(-0.449421\pi\) | ||||
0.158231 | + | 0.987402i | \(0.449421\pi\) | |||||||
\(44\) | −0.656490 | − | 3.25100i | −0.0989697 | − | 0.490107i | ||||
\(45\) | −0.208957 | − | 0.361923i | −0.0311494 | − | 0.0539524i | ||||
\(46\) | 8.60442 | − | 1.82893i | 1.26865 | − | 0.269660i | ||||
\(47\) | 0.0192241 | + | 0.182905i | 0.00280413 | + | 0.0266795i | 0.995834 | − | 0.0911793i | \(-0.0290636\pi\) |
−0.993030 | + | 0.117859i | \(0.962397\pi\) | |||||||
\(48\) | 0.809017 | + | 0.587785i | 0.116772 | + | 0.0848395i | ||||
\(49\) | 3.04040 | + | 6.30523i | 0.434343 | + | 0.900748i | ||||
\(50\) | −1.49111 | − | 4.58918i | −0.210875 | − | 0.649008i | ||||
\(51\) | 5.59765 | − | 2.49223i | 0.783827 | − | 0.348982i | ||||
\(52\) | −5.76806 | − | 2.56810i | −0.799886 | − | 0.356132i | ||||
\(53\) | −6.25729 | + | 1.33003i | −0.859505 | + | 0.182694i | −0.616523 | − | 0.787337i | \(-0.711459\pi\) |
−0.242983 | + | 0.970031i | \(0.578126\pi\) | |||||||
\(54\) | 0.500000 | − | 0.866025i | 0.0680414 | − | 0.117851i | ||||
\(55\) | 1.37987 | − | 0.130837i | 0.186062 | − | 0.0176420i | ||||
\(56\) | 2.63971 | − | 0.178650i | 0.352746 | − | 0.0238731i | ||||
\(57\) | 1.04939 | − | 3.22968i | 0.138995 | − | 0.427782i | ||||
\(58\) | −0.415512 | − | 3.95334i | −0.0545595 | − | 0.519099i | ||||
\(59\) | −0.467776 | + | 4.45059i | −0.0608992 | + | 0.579417i | 0.920940 | + | 0.389704i | \(0.127423\pi\) |
−0.981839 | + | 0.189714i | \(0.939244\pi\) | |||||||
\(60\) | −0.279639 | + | 0.310570i | −0.0361012 | + | 0.0400944i | ||||
\(61\) | 6.67528 | + | 1.41888i | 0.854682 | + | 0.181668i | 0.614361 | − | 0.789025i | \(-0.289414\pi\) |
0.240321 | + | 0.970693i | \(0.422747\pi\) | |||||||
\(62\) | 1.68614 | + | 1.22505i | 0.214140 | + | 0.155581i | ||||
\(63\) | −0.453596 | − | 2.60658i | −0.0571478 | − | 0.328398i | ||||
\(64\) | 0.309017 | − | 0.951057i | 0.0386271 | − | 0.118882i | ||||
\(65\) | 1.31934 | − | 2.28516i | 0.163644 | − | 0.283439i | ||||
\(66\) | 1.92204 | + | 2.70292i | 0.236586 | + | 0.332706i | ||||
\(67\) | 5.77491 | + | 10.0024i | 0.705517 | + | 1.22199i | 0.966505 | + | 0.256649i | \(0.0826185\pi\) |
−0.260988 | + | 0.965342i | \(0.584048\pi\) | |||||||
\(68\) | −4.10002 | − | 4.55354i | −0.497201 | − | 0.552197i | ||||
\(69\) | −7.11664 | + | 5.17054i | −0.856743 | + | 0.622460i | ||||
\(70\) | −0.0410617 | + | 1.10493i | −0.00490781 | + | 0.132065i | ||||
\(71\) | −0.960669 | − | 2.95664i | −0.114010 | − | 0.350888i | 0.877729 | − | 0.479158i | \(-0.159058\pi\) |
−0.991739 | + | 0.128269i | \(0.959058\pi\) | |||||||
\(72\) | −0.978148 | − | 0.207912i | −0.115276 | − | 0.0245026i | ||||
\(73\) | 0.416094 | − | 3.95887i | 0.0487001 | − | 0.463351i | −0.942811 | − | 0.333328i | \(-0.891828\pi\) |
0.991511 | − | 0.130023i | \(-0.0415050\pi\) | |||||||
\(74\) | 0.784787 | + | 0.349410i | 0.0912296 | + | 0.0406180i | ||||
\(75\) | 3.22879 | + | 3.58593i | 0.372828 | + | 0.414068i | ||||
\(76\) | −3.39589 | −0.389535 | ||||||||
\(77\) | 8.48728 | + | 2.22846i | 0.967216 | + | 0.253957i | ||||
\(78\) | 6.31393 | 0.714911 | ||||||||
\(79\) | 8.97328 | + | 9.96584i | 1.00957 | + | 1.12124i | 0.992605 | + | 0.121389i | \(0.0387347\pi\) |
0.0169681 | + | 0.999856i | \(0.494599\pi\) | |||||||
\(80\) | 0.381783 | + | 0.169981i | 0.0426846 | + | 0.0190044i | ||||
\(81\) | −0.104528 | + | 0.994522i | −0.0116143 | + | 0.110502i | ||||
\(82\) | −3.78980 | − | 0.805547i | −0.418514 | − | 0.0889578i | ||||
\(83\) | −3.63374 | − | 11.1835i | −0.398855 | − | 1.22755i | −0.925919 | − | 0.377723i | \(-0.876707\pi\) |
0.527064 | − | 0.849825i | \(-0.323293\pi\) | |||||||
\(84\) | −2.33883 | + | 1.23687i | −0.255188 | + | 0.134954i | ||||
\(85\) | 2.07166 | − | 1.50515i | 0.224703 | − | 0.163257i | ||||
\(86\) | 1.38857 | + | 1.54216i | 0.149733 | + | 0.166296i | ||||
\(87\) | 1.98756 | + | 3.44255i | 0.213088 | + | 0.369080i | ||||
\(88\) | 1.97669 | − | 2.66321i | 0.210716 | − | 0.283899i | ||||
\(89\) | 4.82050 | − | 8.34936i | 0.510972 | − | 0.885030i | −0.488947 | − | 0.872314i | \(-0.662619\pi\) |
0.999919 | − | 0.0127163i | \(-0.00404784\pi\) | |||||||
\(90\) | 0.129142 | − | 0.397459i | 0.0136128 | − | 0.0418959i | ||||
\(91\) | 12.8208 | − | 10.7091i | 1.34399 | − | 1.12262i | ||||
\(92\) | 7.11664 | + | 5.17054i | 0.741961 | + | 0.539066i | ||||
\(93\) | −2.03863 | − | 0.433325i | −0.211397 | − | 0.0449337i | ||||
\(94\) | −0.123062 | + | 0.136674i | −0.0126928 | + | 0.0140968i | ||||
\(95\) | 0.148345 | − | 1.41141i | 0.0152199 | − | 0.144808i | ||||
\(96\) | 0.104528 | + | 0.994522i | 0.0106684 | + | 0.101503i | ||||
\(97\) | 2.35935 | − | 7.26132i | 0.239555 | − | 0.737275i | −0.756929 | − | 0.653497i | \(-0.773301\pi\) |
0.996484 | − | 0.0837783i | \(-0.0266988\pi\) | |||||||
\(98\) | −2.65128 | + | 6.47848i | −0.267819 | + | 0.654426i | ||||
\(99\) | −2.85524 | − | 1.68748i | −0.286963 | − | 0.169598i | ||||
\(100\) | 2.41267 | − | 4.17887i | 0.241267 | − | 0.417887i | ||||
\(101\) | −0.439248 | + | 0.0933651i | −0.0437068 | + | 0.00929017i | −0.229713 | − | 0.973258i | \(-0.573779\pi\) |
0.186006 | + | 0.982549i | \(0.440445\pi\) | |||||||
\(102\) | 5.59765 | + | 2.49223i | 0.554250 | + | 0.246768i | ||||
\(103\) | −16.7883 | + | 7.47461i | −1.65420 | + | 0.736495i | −0.999807 | − | 0.0196624i | \(-0.993741\pi\) |
−0.654389 | + | 0.756158i | \(0.727074\pi\) | |||||||
\(104\) | −1.95111 | − | 6.00490i | −0.191322 | − | 0.588829i | ||||
\(105\) | −0.411905 | − | 1.02611i | −0.0401978 | − | 0.100138i | ||||
\(106\) | −5.17535 | − | 3.76011i | −0.502675 | − | 0.365214i | ||||
\(107\) | −1.82738 | − | 17.3864i | −0.176660 | − | 1.68081i | −0.620116 | − | 0.784510i | \(-0.712914\pi\) |
0.443456 | − | 0.896296i | \(-0.353752\pi\) | |||||||
\(108\) | 0.978148 | − | 0.207912i | 0.0941223 | − | 0.0200063i | ||||
\(109\) | 10.1073 | + | 17.5063i | 0.968102 | + | 1.67680i | 0.701040 | + | 0.713122i | \(0.252719\pi\) |
0.267062 | + | 0.963679i | \(0.413947\pi\) | |||||||
\(110\) | 1.02055 | + | 0.937898i | 0.0973052 | + | 0.0894251i | ||||
\(111\) | −0.859056 | −0.0815380 | ||||||||
\(112\) | 1.89908 | + | 1.84215i | 0.179446 | + | 0.174067i | ||||
\(113\) | −7.45386 | + | 5.41554i | −0.701200 | + | 0.509451i | −0.880323 | − | 0.474375i | \(-0.842674\pi\) |
0.179123 | + | 0.983827i | \(0.442674\pi\) | |||||||
\(114\) | 3.10230 | − | 1.38123i | 0.290557 | − | 0.129364i | ||||
\(115\) | −2.45988 | + | 2.73198i | −0.229385 | + | 0.254758i | ||||
\(116\) | 2.65987 | − | 2.95408i | 0.246963 | − | 0.274280i | ||||
\(117\) | −5.76806 | + | 2.56810i | −0.533257 | + | 0.237421i | ||||
\(118\) | −3.62044 | + | 2.63040i | −0.333288 | + | 0.242148i | ||||
\(119\) | 15.5935 | − | 4.43361i | 1.42945 | − | 0.406429i | ||||
\(120\) | −0.417913 | −0.0381501 | ||||||||
\(121\) | 9.02903 | − | 6.28304i | 0.820821 | − | 0.571186i | ||||
\(122\) | 3.41221 | + | 5.91011i | 0.308927 | + | 0.535077i | ||||
\(123\) | 3.78980 | − | 0.805547i | 0.341715 | − | 0.0726337i | ||||
\(124\) | 0.217856 | + | 2.07276i | 0.0195641 | + | 0.186140i | ||||
\(125\) | 3.32194 | + | 2.41353i | 0.297123 | + | 0.215873i | ||||
\(126\) | 1.63355 | − | 2.08123i | 0.145528 | − | 0.185411i | ||||
\(127\) | 0.647857 | + | 1.99390i | 0.0574880 | + | 0.176930i | 0.975677 | − | 0.219212i | \(-0.0703487\pi\) |
−0.918189 | + | 0.396142i | \(0.870349\pi\) | |||||||
\(128\) | 0.913545 | − | 0.406737i | 0.0807468 | − | 0.0359508i | ||||
\(129\) | −1.89578 | − | 0.844054i | −0.166914 | − | 0.0743148i | ||||
\(130\) | 2.58101 | − | 0.548611i | 0.226370 | − | 0.0481164i | ||||
\(131\) | −10.9750 | + | 19.0093i | −0.958892 | + | 1.66085i | −0.233694 | + | 0.972310i | \(0.575081\pi\) |
−0.725198 | + | 0.688540i | \(0.758252\pi\) | |||||||
\(132\) | −0.722568 | + | 3.23696i | −0.0628915 | + | 0.281741i | ||||
\(133\) | 3.95669 | − | 8.06654i | 0.343089 | − | 0.699458i | ||||
\(134\) | −3.56909 | + | 10.9845i | −0.308322 | + | 0.948918i | ||||
\(135\) | 0.0436838 | + | 0.415624i | 0.00375971 | + | 0.0357712i | ||||
\(136\) | 0.640486 | − | 6.09382i | 0.0549212 | − | 0.522541i | ||||
\(137\) | −10.4145 | + | 11.5664i | −0.889769 | + | 0.988188i | −0.999984 | − | 0.00571962i | \(-0.998179\pi\) |
0.110215 | + | 0.993908i | \(0.464846\pi\) | |||||||
\(138\) | −8.60442 | − | 1.82893i | −0.732457 | − | 0.155689i | ||||
\(139\) | 4.53733 | + | 3.29656i | 0.384851 | + | 0.279611i | 0.763342 | − | 0.645994i | \(-0.223557\pi\) |
−0.378491 | + | 0.925605i | \(0.623557\pi\) | |||||||
\(140\) | −0.848600 | + | 0.708829i | −0.0717198 | + | 0.0599070i | ||||
\(141\) | 0.0568322 | − | 0.174911i | 0.00478613 | − | 0.0147302i | ||||
\(142\) | 1.55440 | − | 2.69229i | 0.130442 | − | 0.225932i | ||||
\(143\) | 0.213265 | − | 20.9398i | 0.0178341 | − | 1.75108i | ||||
\(144\) | −0.500000 | − | 0.866025i | −0.0416667 | − | 0.0721688i | ||||
\(145\) | 1.11159 | + | 1.23455i | 0.0923129 | + | 0.102524i | ||||
\(146\) | 3.22044 | − | 2.33978i | 0.266525 | − | 0.193642i | ||||
\(147\) | −0.212974 | − | 6.99676i | −0.0175658 | − | 0.577083i | ||||
\(148\) | 0.265463 | + | 0.817011i | 0.0218209 | + | 0.0671579i | ||||
\(149\) | −7.79853 | − | 1.65763i | −0.638880 | − | 0.135798i | −0.122928 | − | 0.992416i | \(-0.539228\pi\) |
−0.515952 | + | 0.856617i | \(0.672562\pi\) | |||||||
\(150\) | −0.504386 | + | 4.79891i | −0.0411830 | + | 0.391830i | ||||
\(151\) | −6.12577 | − | 2.72737i | −0.498508 | − | 0.221950i | 0.142050 | − | 0.989859i | \(-0.454631\pi\) |
−0.640559 | + | 0.767909i | \(0.721297\pi\) | |||||||
\(152\) | −2.27229 | − | 2.52364i | −0.184307 | − | 0.204694i | ||||
\(153\) | −6.12739 | −0.495370 | ||||||||
\(154\) | 4.02303 | + | 7.79841i | 0.324185 | + | 0.628414i | ||||
\(155\) | −0.871006 | −0.0699609 | ||||||||
\(156\) | 4.22484 | + | 4.69216i | 0.338258 | + | 0.375674i | ||||
\(157\) | 3.33046 | + | 1.48282i | 0.265800 | + | 0.118342i | 0.535309 | − | 0.844656i | \(-0.320195\pi\) |
−0.269510 | + | 0.962998i | \(0.586862\pi\) | |||||||
\(158\) | −1.40176 | + | 13.3369i | −0.111518 | + | 1.06103i | ||||
\(159\) | 6.25729 | + | 1.33003i | 0.496236 | + | 0.105478i | ||||
\(160\) | 0.129142 | + | 0.397459i | 0.0102096 | + | 0.0314219i | ||||
\(161\) | −20.5739 | + | 10.8803i | −1.62145 | + | 0.857491i | ||||
\(162\) | −0.809017 | + | 0.587785i | −0.0635624 | + | 0.0461808i | ||||
\(163\) | −9.53803 | − | 10.5931i | −0.747076 | − | 0.829712i | 0.243032 | − | 0.970018i | \(-0.421858\pi\) |
−0.990108 | + | 0.140306i | \(0.955191\pi\) | |||||||
\(164\) | −1.93723 | − | 3.35539i | −0.151273 | − | 0.262012i | ||||
\(165\) | −1.31379 | − | 0.441719i | −0.102279 | − | 0.0343878i | ||||
\(166\) | 5.87951 | − | 10.1836i | 0.456339 | − | 0.790402i | ||||
\(167\) | −3.89279 | + | 11.9808i | −0.301233 | + | 0.927101i | 0.679823 | + | 0.733376i | \(0.262057\pi\) |
−0.981056 | + | 0.193724i | \(0.937943\pi\) | |||||||
\(168\) | −2.48416 | − | 0.910463i | −0.191657 | − | 0.0702438i | ||||
\(169\) | −21.7348 | − | 15.7912i | −1.67191 | − | 1.21471i | ||||
\(170\) | 2.50476 | + | 0.532403i | 0.192106 | + | 0.0408334i | ||||
\(171\) | −2.27229 | + | 2.52364i | −0.173767 | + | 0.192987i | ||||
\(172\) | −0.216916 | + | 2.06382i | −0.0165397 | + | 0.157365i | ||||
\(173\) | 1.33465 | + | 12.6983i | 0.101471 | + | 0.965434i | 0.920252 | + | 0.391327i | \(0.127984\pi\) |
−0.818780 | + | 0.574107i | \(0.805349\pi\) | |||||||
\(174\) | −1.22838 | + | 3.78056i | −0.0931231 | + | 0.286603i | ||||
\(175\) | 7.11532 | + | 10.6000i | 0.537868 | + | 0.801285i | ||||
\(176\) | 3.30182 | − | 0.313072i | 0.248884 | − | 0.0235987i | ||||
\(177\) | 2.23755 | − | 3.87555i | 0.168185 | − | 0.291305i | ||||
\(178\) | 9.43033 | − | 2.00448i | 0.706833 | − | 0.150242i | ||||
\(179\) | 11.0932 | + | 4.93902i | 0.829147 | + | 0.369160i | 0.777016 | − | 0.629480i | \(-0.216732\pi\) |
0.0521304 | + | 0.998640i | \(0.483399\pi\) | |||||||
\(180\) | 0.381783 | − | 0.169981i | 0.0284564 | − | 0.0126696i | ||||
\(181\) | 4.27025 | + | 13.1425i | 0.317405 | + | 0.976873i | 0.974753 | + | 0.223286i | \(0.0716782\pi\) |
−0.657348 | + | 0.753587i | \(0.728322\pi\) | |||||||
\(182\) | 16.5373 | + | 2.36192i | 1.22582 | + | 0.175077i | ||||
\(183\) | −5.52107 | − | 4.01129i | −0.408129 | − | 0.296523i | ||||
\(184\) | 0.919500 | + | 8.74846i | 0.0677865 | + | 0.644945i | ||||
\(185\) | −0.351166 | + | 0.0746426i | −0.0258182 | + | 0.00548783i | ||||
\(186\) | −1.04209 | − | 1.80495i | −0.0764097 | − | 0.132346i | ||||
\(187\) | 8.45444 | − | 18.4801i | 0.618250 | − | 1.35140i | ||||
\(188\) | −0.183913 | −0.0134132 | ||||||||
\(189\) | −0.645810 | + | 2.56572i | −0.0469758 | + | 0.186629i | ||||
\(190\) | 1.14815 | − | 0.834177i | 0.0832953 | − | 0.0605176i | ||||
\(191\) | 4.68500 | − | 2.08590i | 0.338995 | − | 0.150930i | −0.230177 | − | 0.973149i | \(-0.573931\pi\) |
0.569172 | + | 0.822219i | \(0.307264\pi\) | |||||||
\(192\) | −0.669131 | + | 0.743145i | −0.0482903 | + | 0.0536319i | ||||
\(193\) | −11.8734 | + | 13.1868i | −0.854668 | + | 0.949205i | −0.999188 | − | 0.0402967i | \(-0.987170\pi\) |
0.144520 | + | 0.989502i | \(0.453836\pi\) | |||||||
\(194\) | 6.97492 | − | 3.10544i | 0.500770 | − | 0.222957i | ||||
\(195\) | −2.13473 | + | 1.55097i | −0.152871 | + | 0.111067i | ||||
\(196\) | −6.58850 | + | 2.36467i | −0.470607 | + | 0.168905i | ||||
\(197\) | 8.14631 | 0.580400 | 0.290200 | − | 0.956966i | \(-0.406278\pi\) | ||||
0.290200 | + | 0.956966i | \(0.406278\pi\) | |||||||
\(198\) | −0.656490 | − | 3.25100i | −0.0466547 | − | 0.231039i | ||||
\(199\) | −8.80153 | − | 15.2447i | −0.623924 | − | 1.08067i | −0.988748 | − | 0.149592i | \(-0.952204\pi\) |
0.364824 | − | 0.931077i | \(-0.381129\pi\) | |||||||
\(200\) | 4.71990 | − | 1.00325i | 0.333748 | − | 0.0709402i | ||||
\(201\) | −1.20728 | − | 11.4865i | −0.0851552 | − | 0.810198i | ||||
\(202\) | −0.363298 | − | 0.263952i | −0.0255616 | − | 0.0185716i | ||||
\(203\) | 3.91796 | + | 9.76014i | 0.274987 | + | 0.685027i | ||||
\(204\) | 1.89347 | + | 5.82749i | 0.132569 | + | 0.408006i | ||||
\(205\) | 1.47920 | − | 0.658584i | 0.103312 | − | 0.0459975i | ||||
\(206\) | −16.7883 | − | 7.47461i | −1.16969 | − | 0.520781i | ||||
\(207\) | 8.60442 | − | 1.82893i | 0.598049 | − | 0.127119i | ||||
\(208\) | 3.15696 | − | 5.46802i | 0.218896 | − | 0.379139i | ||||
\(209\) | −4.47601 | − | 10.3353i | −0.309612 | − | 0.714907i | ||||
\(210\) | 0.486928 | − | 0.992704i | 0.0336012 | − | 0.0685031i | ||||
\(211\) | 6.94769 | − | 21.3828i | 0.478299 | − | 1.47205i | −0.363158 | − | 0.931727i | \(-0.618302\pi\) |
0.841457 | − | 0.540324i | \(-0.181698\pi\) | |||||||
\(212\) | −0.668678 | − | 6.36204i | −0.0459250 | − | 0.436947i | ||||
\(213\) | −0.324957 | + | 3.09176i | −0.0222657 | + | 0.211844i | ||||
\(214\) | 11.6979 | − | 12.9918i | 0.799649 | − | 0.888100i | ||||
\(215\) | −0.848296 | − | 0.180311i | −0.0578533 | − | 0.0122971i | ||||
\(216\) | 0.809017 | + | 0.587785i | 0.0550466 | + | 0.0399937i | ||||
\(217\) | −5.17744 | − | 1.89757i | −0.351467 | − | 0.128815i | ||||
\(218\) | −6.24664 | + | 19.2252i | −0.423076 | + | 1.30209i | ||||
\(219\) | −1.99034 | + | 3.44737i | −0.134495 | + | 0.232952i | ||||
\(220\) | −0.0141158 | + | 1.38599i | −0.000951690 | + | 0.0934434i | ||||
\(221\) | −19.3439 | − | 33.5047i | −1.30121 | − | 2.25377i | ||||
\(222\) | −0.574821 | − | 0.638403i | −0.0385794 | − | 0.0428468i | ||||
\(223\) | −18.1913 | + | 13.2168i | −1.21818 | + | 0.885062i | −0.995948 | − | 0.0899315i | \(-0.971335\pi\) |
−0.222235 | + | 0.974993i | \(0.571335\pi\) | |||||||
\(224\) | −0.0982540 | + | 2.64393i | −0.00656487 | + | 0.176655i | ||||
\(225\) | −1.49111 | − | 4.58918i | −0.0994076 | − | 0.305945i | ||||
\(226\) | −9.01214 | − | 1.91559i | −0.599478 | − | 0.127423i | ||||
\(227\) | 1.55526 | − | 14.7973i | 0.103226 | − | 0.982133i | −0.813215 | − | 0.581964i | \(-0.802285\pi\) |
0.916441 | − | 0.400169i | \(-0.131049\pi\) | |||||||
\(228\) | 3.10230 | + | 1.38123i | 0.205455 | + | 0.0914744i | ||||
\(229\) | 8.61834 | + | 9.57163i | 0.569516 | + | 0.632511i | 0.957251 | − | 0.289260i | \(-0.0934091\pi\) |
−0.387735 | + | 0.921771i | \(0.626742\pi\) | |||||||
\(230\) | −3.67624 | −0.242404 | ||||||||
\(231\) | −6.84712 | − | 5.48789i | −0.450508 | − | 0.361077i | ||||
\(232\) | 3.97511 | 0.260979 | ||||||||
\(233\) | −0.315461 | − | 0.350355i | −0.0206665 | − | 0.0229525i | 0.732723 | − | 0.680527i | \(-0.238249\pi\) |
−0.753389 | + | 0.657575i | \(0.771582\pi\) | |||||||
\(234\) | −5.76806 | − | 2.56810i | −0.377070 | − | 0.167882i | ||||
\(235\) | 0.00803401 | − | 0.0764385i | 0.000524081 | − | 0.00498630i | ||||
\(236\) | −4.37731 | − | 0.930427i | −0.284939 | − | 0.0605656i | ||||
\(237\) | −4.14403 | − | 12.7540i | −0.269184 | − | 0.828462i | ||||
\(238\) | 13.7289 | + | 8.62156i | 0.889913 | + | 0.558853i | ||||
\(239\) | 4.66922 | − | 3.39238i | 0.302026 | − | 0.219435i | −0.426441 | − | 0.904515i | \(-0.640233\pi\) |
0.728468 | + | 0.685080i | \(0.240233\pi\) | |||||||
\(240\) | −0.279639 | − | 0.310570i | −0.0180506 | − | 0.0200472i | ||||
\(241\) | 0.196880 | + | 0.341006i | 0.0126821 | + | 0.0219661i | 0.872297 | − | 0.488977i | \(-0.162630\pi\) |
−0.859615 | + | 0.510943i | \(0.829296\pi\) | |||||||
\(242\) | 10.7108 | + | 2.50570i | 0.688517 | + | 0.161072i | ||||
\(243\) | 0.500000 | − | 0.866025i | 0.0320750 | − | 0.0555556i | ||||
\(244\) | −2.10886 | + | 6.49040i | −0.135006 | + | 0.415505i | ||||
\(245\) | −0.695002 | − | 2.84164i | −0.0444020 | − | 0.181545i | ||||
\(246\) | 3.13451 | + | 2.27736i | 0.199849 | + | 0.145199i | ||||
\(247\) | −20.9729 | − | 4.45792i | −1.33447 | − | 0.283650i | ||||
\(248\) | −1.39459 | + | 1.54885i | −0.0885564 | + | 0.0983519i | ||||
\(249\) | −1.22915 | + | 11.6946i | −0.0778944 | + | 0.741115i | ||||
\(250\) | 0.429209 | + | 4.08365i | 0.0271455 | + | 0.258273i | ||||
\(251\) | 4.18524 | − | 12.8808i | 0.264170 | − | 0.813031i | −0.727714 | − | 0.685881i | \(-0.759417\pi\) |
0.991884 | − | 0.127150i | \(-0.0405829\pi\) | |||||||
\(252\) | 2.63971 | − | 0.178650i | 0.166286 | − | 0.0112539i | ||||
\(253\) | −6.35618 | + | 28.4744i | −0.399610 | + | 1.79017i | ||||
\(254\) | −1.04826 | + | 1.81563i | −0.0657734 | + | 0.113923i | ||||
\(255\) | −2.50476 | + | 0.532403i | −0.156854 | + | 0.0333404i | ||||
\(256\) | 0.913545 | + | 0.406737i | 0.0570966 | + | 0.0254210i | ||||
\(257\) | 11.2647 | − | 5.01535i | 0.702670 | − | 0.312849i | −0.0241193 | − | 0.999709i | \(-0.507678\pi\) |
0.726790 | + | 0.686860i | \(0.241011\pi\) | |||||||
\(258\) | −0.641268 | − | 1.97362i | −0.0399236 | − | 0.122872i | ||||
\(259\) | −2.25002 | − | 0.321357i | −0.139809 | − | 0.0199681i | ||||
\(260\) | 2.13473 | + | 1.55097i | 0.132390 | + | 0.0961873i | ||||
\(261\) | −0.415512 | − | 3.95334i | −0.0257196 | − | 0.244705i | ||||
\(262\) | −21.4704 | + | 4.56367i | −1.32645 | + | 0.281945i | ||||
\(263\) | −1.17681 | − | 2.03830i | −0.0725654 | − | 0.125687i | 0.827460 | − | 0.561525i | \(-0.189785\pi\) |
−0.900025 | + | 0.435838i | \(0.856452\pi\) | |||||||
\(264\) | −2.88902 | + | 1.62897i | −0.177807 | + | 0.100256i | ||||
\(265\) | 2.67343 | 0.164227 | ||||||||
\(266\) | 8.64215 | − | 2.45717i | 0.529884 | − | 0.150659i | ||||
\(267\) | −7.79974 | + | 5.66684i | −0.477336 | + | 0.346805i | ||||
\(268\) | −10.5513 | + | 4.69773i | −0.644522 | + | 0.286960i | ||||
\(269\) | −10.6544 | + | 11.8329i | −0.649611 | + | 0.721466i | −0.974525 | − | 0.224277i | \(-0.927998\pi\) |
0.324914 | + | 0.945744i | \(0.394665\pi\) | |||||||
\(270\) | −0.279639 | + | 0.310570i | −0.0170183 | + | 0.0189007i | ||||
\(271\) | −7.84885 | + | 3.49453i | −0.476784 | + | 0.212278i | −0.631036 | − | 0.775754i | \(-0.717370\pi\) |
0.154252 | + | 0.988032i | \(0.450703\pi\) | |||||||
\(272\) | 4.95716 | − | 3.60159i | 0.300572 | − | 0.218378i | ||||
\(273\) | −16.0682 | + | 4.56859i | −0.972493 | + | 0.276503i | ||||
\(274\) | −15.5642 | −0.940267 | ||||||||
\(275\) | 15.8983 | + | 1.83487i | 0.958706 | + | 0.110647i | ||||
\(276\) | −4.39833 | − | 7.61812i | −0.264748 | − | 0.458557i | ||||
\(277\) | 0.915309 | − | 0.194555i | 0.0549956 | − | 0.0116897i | −0.180332 | − | 0.983606i | \(-0.557717\pi\) |
0.235327 | + | 0.971916i | \(0.424384\pi\) | |||||||
\(278\) | 0.586242 | + | 5.57772i | 0.0351605 | + | 0.334530i | ||||
\(279\) | 1.68614 | + | 1.22505i | 0.100946 | + | 0.0733418i | ||||
\(280\) | −1.09459 | − | 0.156334i | −0.0654141 | − | 0.00934272i | ||||
\(281\) | 3.13550 | + | 9.65007i | 0.187048 | + | 0.575675i | 0.999978 | − | 0.00668710i | \(-0.00212859\pi\) |
−0.812929 | + | 0.582362i | \(0.802129\pi\) | |||||||
\(282\) | 0.168013 | − | 0.0748041i | 0.0100050 | − | 0.00445452i | ||||
\(283\) | −7.89428 | − | 3.51476i | −0.469267 | − | 0.208931i | 0.158459 | − | 0.987366i | \(-0.449347\pi\) |
−0.627726 | + | 0.778435i | \(0.716014\pi\) | |||||||
\(284\) | 3.04086 | − | 0.646354i | 0.180442 | − | 0.0383541i | ||||
\(285\) | −0.709594 | + | 1.22905i | −0.0420327 | + | 0.0728028i | ||||
\(286\) | 15.7040 | − | 13.8530i | 0.928599 | − | 0.819145i | ||||
\(287\) | 10.2275 | − | 0.692173i | 0.603709 | − | 0.0408577i | ||||
\(288\) | 0.309017 | − | 0.951057i | 0.0182090 | − | 0.0560415i | ||||
\(289\) | −2.14752 | − | 20.4323i | −0.126325 | − | 1.20190i | ||||
\(290\) | −0.173648 | + | 1.65215i | −0.0101970 | + | 0.0970177i | ||||
\(291\) | −5.10881 | + | 5.67391i | −0.299484 | + | 0.332611i | ||||
\(292\) | 3.89369 | + | 0.827629i | 0.227861 | + | 0.0484334i | ||||
\(293\) | −3.96425 | − | 2.88020i | −0.231594 | − | 0.168263i | 0.465936 | − | 0.884818i | \(-0.345718\pi\) |
−0.697530 | + | 0.716555i | \(0.745718\pi\) | |||||||
\(294\) | 5.05710 | − | 4.84002i | 0.294936 | − | 0.282276i | ||||
\(295\) | 0.577925 | − | 1.77867i | 0.0336481 | − | 0.103558i | ||||
\(296\) | −0.429528 | + | 0.743964i | −0.0249658 | + | 0.0432421i | ||||
\(297\) | 1.92204 | + | 2.70292i | 0.111528 | + | 0.156839i | ||||
\(298\) | −3.98638 | − | 6.90461i | −0.230925 | − | 0.399973i | ||||
\(299\) | 37.1644 | + | 41.2753i | 2.14928 | + | 2.38701i | ||||
\(300\) | −3.90379 | + | 2.83627i | −0.225385 | + | 0.163752i | ||||
\(301\) | −4.64962 | − | 2.91990i | −0.268000 | − | 0.168300i | ||||
\(302\) | −2.07211 | − | 6.37730i | −0.119237 | − | 0.366973i | ||||
\(303\) | 0.439248 | + | 0.0933651i | 0.0252342 | + | 0.00536368i | ||||
\(304\) | 0.354967 | − | 3.37729i | 0.0203588 | − | 0.193701i | ||||
\(305\) | −2.60544 | − | 1.16002i | −0.149187 | − | 0.0664224i | ||||
\(306\) | −4.10002 | − | 4.55354i | −0.234383 | − | 0.260308i | ||||
\(307\) | −20.4366 | −1.16638 | −0.583189 | − | 0.812337i | \(-0.698195\pi\) | ||||
−0.583189 | + | 0.812337i | \(0.698195\pi\) | |||||||
\(308\) | −3.10342 | + | 8.20785i | −0.176834 | + | 0.467686i | ||||
\(309\) | 18.3770 | 1.04543 | ||||||||
\(310\) | −0.582817 | − | 0.647284i | −0.0331018 | − | 0.0367632i | ||||
\(311\) | 20.0976 | + | 8.94802i | 1.13963 | + | 0.507396i | 0.887733 | − | 0.460358i | \(-0.152279\pi\) |
0.251896 | + | 0.967754i | \(0.418946\pi\) | |||||||
\(312\) | −0.659985 | + | 6.27934i | −0.0373643 | + | 0.355497i | ||||
\(313\) | −28.4252 | − | 6.04197i | −1.60669 | − | 0.341512i | −0.684729 | − | 0.728797i | \(-0.740080\pi\) |
−0.921960 | + | 0.387285i | \(0.873413\pi\) | |||||||
\(314\) | 1.12657 | + | 3.46721i | 0.0635757 | + | 0.195666i | ||||
\(315\) | −0.0410617 | + | 1.10493i | −0.00231356 | + | 0.0622559i | ||||
\(316\) | −10.8492 | + | 7.88241i | −0.610316 | + | 0.443420i | ||||
\(317\) | 15.5660 | + | 17.2878i | 0.874276 | + | 0.970982i | 0.999777 | − | 0.0211116i | \(-0.00672054\pi\) |
−0.125501 | + | 0.992093i | \(0.540054\pi\) | |||||||
\(318\) | 3.19854 | + | 5.54004i | 0.179365 | + | 0.310670i | ||||
\(319\) | 12.4965 | + | 4.20155i | 0.699672 | + | 0.235242i | ||||
\(320\) | −0.208957 | + | 0.361923i | −0.0116810 | + | 0.0202321i | ||||
\(321\) | −5.40229 | + | 16.6265i | −0.301526 | + | 0.928002i | ||||
\(322\) | −21.8523 | − | 8.00903i | −1.21778 | − | 0.446326i | ||||
\(323\) | −16.8340 | − | 12.2306i | −0.936667 | − | 0.680529i | ||||
\(324\) | −0.978148 | − | 0.207912i | −0.0543415 | − | 0.0115506i | ||||
\(325\) | 20.3863 | − | 22.6413i | 1.13083 | − | 1.25591i | ||||
\(326\) | 1.48999 | − | 14.1763i | 0.0825227 | − | 0.785151i | ||||
\(327\) | −2.11300 | − | 20.1038i | −0.116849 | − | 1.11174i | ||||
\(328\) | 1.19728 | − | 3.68484i | 0.0661085 | − | 0.203461i | ||||
\(329\) | 0.214284 | − | 0.436863i | 0.0118139 | − | 0.0240851i | ||||
\(330\) | −0.550837 | − | 1.27191i | −0.0303226 | − | 0.0700161i | ||||
\(331\) | −17.3175 | + | 29.9948i | −0.951857 | + | 1.64866i | −0.210454 | + | 0.977604i | \(0.567494\pi\) |
−0.741403 | + | 0.671060i | \(0.765839\pi\) | |||||||
\(332\) | 11.5021 | − | 2.44484i | 0.631258 | − | 0.134178i | ||||
\(333\) | 0.784787 | + | 0.349410i | 0.0430061 | + | 0.0191475i | ||||
\(334\) | −11.5082 | + | 5.12380i | −0.629703 | + | 0.280362i | ||||
\(335\) | −1.49157 | − | 4.59058i | −0.0814931 | − | 0.250810i | ||||
\(336\) | −0.985622 | − | 2.45531i | −0.0537701 | − | 0.133948i | ||||
\(337\) | 26.8016 | + | 19.4725i | 1.45998 | + | 1.06074i | 0.983369 | + | 0.181620i | \(0.0581341\pi\) |
0.476609 | + | 0.879116i | \(0.341866\pi\) | |||||||
\(338\) | −2.80823 | − | 26.7185i | −0.152747 | − | 1.45329i | ||||
\(339\) | 9.01214 | − | 1.91559i | 0.489472 | − | 0.104041i | ||||
\(340\) | 1.28036 | + | 2.21765i | 0.0694372 | + | 0.120269i | ||||
\(341\) | −6.02124 | + | 3.39508i | −0.326068 | + | 0.183854i | ||||
\(342\) | −3.39589 | −0.183629 | ||||||||
\(343\) | 2.05954 | − | 18.4054i | 0.111205 | − | 0.993798i | ||||
\(344\) | −1.67886 | + | 1.21976i | −0.0905181 | + | 0.0657652i | ||||
\(345\) | 3.35841 | − | 1.49526i | 0.180811 | − | 0.0805021i | ||||
\(346\) | −8.54363 | + | 9.48866i | −0.459308 | + | 0.510113i | ||||
\(347\) | −7.36242 | + | 8.17680i | −0.395235 | + | 0.438953i | −0.907614 | − | 0.419807i | \(-0.862098\pi\) |
0.512378 | + | 0.858760i | \(0.328765\pi\) | |||||||
\(348\) | −3.63145 | + | 1.61682i | −0.194666 | + | 0.0866709i | ||||
\(349\) | −0.168009 | + | 0.122065i | −0.00899329 | + | 0.00653401i | −0.592273 | − | 0.805737i | \(-0.701769\pi\) |
0.583280 | + | 0.812272i | \(0.301769\pi\) | |||||||
\(350\) | −3.11626 | + | 12.3805i | −0.166571 | + | 0.661766i | ||||
\(351\) | 6.31393 | 0.337012 | ||||||||
\(352\) | 2.44200 | + | 2.24424i | 0.130159 | + | 0.119618i | ||||
\(353\) | −2.02883 | − | 3.51404i | −0.107984 | − | 0.187033i | 0.806970 | − | 0.590593i | \(-0.201106\pi\) |
−0.914953 | + | 0.403560i | \(0.867773\pi\) | |||||||
\(354\) | 4.37731 | − | 0.930427i | 0.232652 | − | 0.0494516i | ||||
\(355\) | 0.135804 | + | 1.29209i | 0.00720772 | + | 0.0685769i | ||||
\(356\) | 7.79974 | + | 5.66684i | 0.413385 | + | 0.300342i | ||||
\(357\) | −16.0487 | − | 2.29214i | −0.849386 | − | 0.121313i | ||||
\(358\) | 3.75241 | + | 11.5487i | 0.198321 | + | 0.610369i | ||||
\(359\) | −13.4643 | + | 5.99467i | −0.710616 | + | 0.316387i | −0.730021 | − | 0.683425i | \(-0.760490\pi\) |
0.0194047 | + | 0.999812i | \(0.493823\pi\) | |||||||
\(360\) | 0.381783 | + | 0.169981i | 0.0201217 | + | 0.00895877i | ||||
\(361\) | 7.30474 | − | 1.55267i | 0.384460 | − | 0.0817195i | ||||
\(362\) | −6.90941 | + | 11.9674i | −0.363151 | + | 0.628995i | ||||
\(363\) | −10.8040 | + | 2.06741i | −0.567061 | + | 0.108511i | ||||
\(364\) | 9.31034 | + | 13.8700i | 0.487994 | + | 0.726986i | ||||
\(365\) | −0.514074 | + | 1.58216i | −0.0269079 | + | 0.0828139i | ||||
\(366\) | −0.713345 | − | 6.78703i | −0.0372872 | − | 0.354764i | ||||
\(367\) | 1.74815 | − | 16.6326i | 0.0912528 | − | 0.868213i | −0.849150 | − | 0.528151i | \(-0.822885\pi\) |
0.940403 | − | 0.340061i | \(-0.110448\pi\) | |||||||
\(368\) | −5.88611 | + | 6.53718i | −0.306835 | + | 0.340774i | ||||
\(369\) | −3.78980 | − | 0.805547i | −0.197289 | − | 0.0419351i | ||||
\(370\) | −0.290446 | − | 0.211021i | −0.0150996 | − | 0.0109705i | ||||
\(371\) | 15.8914 | + | 5.82431i | 0.825040 | + | 0.302383i | ||||
\(372\) | 0.644047 | − | 1.98217i | 0.0333923 | − | 0.102771i | ||||
\(373\) | −6.55254 | + | 11.3493i | −0.339278 | + | 0.587647i | −0.984297 | − | 0.176520i | \(-0.943516\pi\) |
0.645019 | + | 0.764166i | \(0.276849\pi\) | |||||||
\(374\) | 19.3906 | − | 6.08276i | 1.00266 | − | 0.314532i | ||||
\(375\) | −2.05307 | − | 3.55602i | −0.106020 | − | 0.183632i | ||||
\(376\) | −0.123062 | − | 0.136674i | −0.00634642 | − | 0.00704842i | ||||
\(377\) | 20.3052 | − | 14.7526i | 1.04577 | − | 0.759796i | ||||
\(378\) | −2.33883 | + | 1.23687i | −0.120297 | + | 0.0636179i | ||||
\(379\) | 2.14179 | + | 6.59176i | 0.110016 | + | 0.338596i | 0.990875 | − | 0.134784i | \(-0.0430340\pi\) |
−0.880859 | + | 0.473379i | \(0.843034\pi\) | |||||||
\(380\) | 1.38817 | + | 0.295066i | 0.0712119 | + | 0.0151365i | ||||
\(381\) | 0.219145 | − | 2.08503i | 0.0112271 | − | 0.106819i | ||||
\(382\) | 4.68500 | + | 2.08590i | 0.239705 | + | 0.106724i | ||||
\(383\) | −6.78587 | − | 7.53647i | −0.346742 | − | 0.385096i | 0.544396 | − | 0.838828i | \(-0.316759\pi\) |
−0.891138 | + | 0.453732i | \(0.850092\pi\) | |||||||
\(384\) | −1.00000 | −0.0510310 | ||||||||
\(385\) | −3.27581 | − | 1.64840i | −0.166951 | − | 0.0840104i | ||||
\(386\) | −17.7446 | −0.903175 | ||||||||
\(387\) | 1.38857 | + | 1.54216i | 0.0705850 | + | 0.0783926i | ||||
\(388\) | 6.97492 | + | 3.10544i | 0.354098 | + | 0.157655i | ||||
\(389\) | −0.471055 | + | 4.48179i | −0.0238835 | + | 0.227236i | 0.976069 | + | 0.217462i | \(0.0697778\pi\) |
−0.999952 | + | 0.00977384i | \(0.996889\pi\) | |||||||
\(390\) | −2.58101 | − | 0.548611i | −0.130695 | − | 0.0277800i | ||||
\(391\) | 16.6562 | + | 51.2624i | 0.842338 | + | 2.59245i | ||||
\(392\) | −6.16586 | − | 3.31394i | −0.311423 | − | 0.167379i | ||||
\(393\) | 17.7580 | − | 12.9019i | 0.895771 | − | 0.650816i | ||||
\(394\) | 5.45094 | + | 6.05388i | 0.274615 | + | 0.304990i | ||||
\(395\) | −2.80218 | − | 4.85352i | −0.140993 | − | 0.244207i | ||||
\(396\) | 1.97669 | − | 2.66321i | 0.0993323 | − | 0.133831i | ||||
\(397\) | −4.83950 | + | 8.38226i | −0.242888 | + | 0.420694i | −0.961536 | − | 0.274680i | \(-0.911428\pi\) |
0.718648 | + | 0.695374i | \(0.244761\pi\) | |||||||
\(398\) | 5.43965 | − | 16.7415i | 0.272665 | − | 0.839176i | ||||
\(399\) | −6.89558 | + | 5.75982i | −0.345211 | + | 0.288352i | ||||
\(400\) | 3.90379 | + | 2.83627i | 0.195189 | + | 0.141813i | ||||
\(401\) | −6.89961 | − | 1.46656i | −0.344550 | − | 0.0732363i | 0.0323867 | − | 0.999475i | \(-0.489689\pi\) |
−0.376937 | + | 0.926239i | \(0.623023\pi\) | |||||||
\(402\) | 7.72833 | − | 8.58318i | 0.385454 | − | 0.428090i | ||||
\(403\) | −1.37553 | + | 13.0873i | −0.0685199 | + | 0.651923i | ||||
\(404\) | −0.0469397 | − | 0.446601i | −0.00233534 | − | 0.0222192i | ||||
\(405\) | 0.129142 | − | 0.397459i | 0.00641713 | − | 0.0197499i | ||||
\(406\) | −4.63157 | + | 9.44242i | −0.229861 | + | 0.468619i | ||||
\(407\) | −2.13665 | + | 1.88480i | −0.105910 | + | 0.0934262i | ||||
\(408\) | −3.06369 | + | 5.30647i | −0.151675 | + | 0.262710i | ||||
\(409\) | −3.24158 | + | 0.689020i | −0.160286 | + | 0.0340698i | −0.287356 | − | 0.957824i | \(-0.592776\pi\) |
0.127070 | + | 0.991894i | \(0.459443\pi\) | |||||||
\(410\) | 1.47920 | + | 0.658584i | 0.0730527 | + | 0.0325252i | ||||
\(411\) | 14.2186 | − | 6.33053i | 0.701351 | − | 0.312262i | ||||
\(412\) | −5.67882 | − | 17.4776i | −0.279775 | − | 0.861059i | ||||
\(413\) | 7.31031 | − | 9.31372i | 0.359717 | − | 0.458298i | ||||
\(414\) | 7.11664 | + | 5.17054i | 0.349764 | + | 0.254118i | ||||
\(415\) | 0.513679 | + | 4.88733i | 0.0252155 | + | 0.239910i | ||||
\(416\) | 6.17595 | − | 1.31274i | 0.302801 | − | 0.0643623i | ||||
\(417\) | −2.80422 | − | 4.85706i | −0.137323 | − | 0.237851i | ||||
\(418\) | 4.68558 | − | 10.2420i | 0.229179 | − | 0.500951i | ||||
\(419\) | −2.28522 | −0.111640 | −0.0558202 | − | 0.998441i | \(-0.517777\pi\) | ||||
−0.0558202 | + | 0.998441i | \(0.517777\pi\) | |||||||
\(420\) | 1.06354 | − | 0.302391i | 0.0518955 | − | 0.0147552i | ||||
\(421\) | 19.0722 | − | 13.8567i | 0.929521 | − | 0.675336i | −0.0163547 | − | 0.999866i | \(-0.505206\pi\) |
0.945875 | + | 0.324530i | \(0.105206\pi\) | |||||||
\(422\) | 20.5394 | − | 9.14474i | 0.999843 | − | 0.445159i | ||||
\(423\) | −0.123062 | + | 0.136674i | −0.00598346 | + | 0.00664531i | ||||
\(424\) | 4.28049 | − | 4.75396i | 0.207879 | − | 0.230873i | ||||
\(425\) | 27.0106 | − | 12.0259i | 1.31021 | − | 0.583341i | ||||
\(426\) | −2.51506 | + | 1.82730i | −0.121855 | + | 0.0885330i | ||||
\(427\) | −12.9601 | − | 12.5716i | −0.627182 | − | 0.608382i | ||||
\(428\) | 17.4822 | 0.845032 | ||||||||
\(429\) | −8.71183 | + | 19.0427i | −0.420611 | + | 0.919393i | ||||
\(430\) | −0.433624 | − | 0.751058i | −0.0209112 | − | 0.0362193i | ||||
\(431\) | −22.7119 | + | 4.82757i | −1.09399 | + | 0.232536i | −0.719360 | − | 0.694637i | \(-0.755565\pi\) |
−0.374634 | + | 0.927173i | \(0.622232\pi\) | |||||||
\(432\) | 0.104528 | + | 0.994522i | 0.00502913 | + | 0.0478490i | ||||
\(433\) | −14.2517 | − | 10.3544i | −0.684891 | − | 0.497602i | 0.190086 | − | 0.981767i | \(-0.439123\pi\) |
−0.874977 | + | 0.484165i | \(0.839123\pi\) | |||||||
\(434\) | −2.05421 | − | 5.11731i | −0.0986054 | − | 0.245639i | ||||
\(435\) | −0.513355 | − | 1.57994i | −0.0246135 | − | 0.0757526i | ||||
\(436\) | −18.4669 | + | 8.22200i | −0.884405 | + | 0.393762i | ||||
\(437\) | 27.2898 | + | 12.1502i | 1.30545 | + | 0.581224i | ||||
\(438\) | −3.89369 | + | 0.827629i | −0.186048 | + | 0.0395457i | ||||
\(439\) | 6.10353 | − | 10.5716i | 0.291305 | − | 0.504556i | −0.682813 | − | 0.730593i | \(-0.739244\pi\) |
0.974119 | + | 0.226037i | \(0.0725771\pi\) | |||||||
\(440\) | −1.03944 | + | 0.916918i | −0.0495532 | + | 0.0437123i | ||||
\(441\) | −2.65128 | + | 6.47848i | −0.126251 | + | 0.308499i | ||||
\(442\) | 11.9552 | − | 36.7943i | 0.568651 | − | 1.75013i | ||||
\(443\) | −3.32960 | − | 31.6790i | −0.158194 | − | 1.50512i | −0.729275 | − | 0.684221i | \(-0.760142\pi\) |
0.571081 | − | 0.820894i | \(-0.306524\pi\) | |||||||
\(444\) | 0.0897958 | − | 0.854350i | 0.00426152 | − | 0.0405457i | ||||
\(445\) | −2.69600 | + | 2.99421i | −0.127802 | + | 0.141939i | ||||
\(446\) | −21.9944 | − | 4.67505i | −1.04146 | − | 0.221370i | ||||
\(447\) | 6.45009 | + | 4.68627i | 0.305079 | + | 0.221653i | ||||
\(448\) | −2.03056 | + | 1.69612i | −0.0959352 | + | 0.0801339i | ||||
\(449\) | 3.33501 | − | 10.2641i | 0.157389 | − | 0.484393i | −0.841006 | − | 0.541025i | \(-0.818036\pi\) |
0.998395 | + | 0.0566324i | \(0.0180363\pi\) | |||||||
\(450\) | 2.41267 | − | 4.17887i | 0.113735 | − | 0.196994i | ||||
\(451\) | 7.65861 | − | 10.3185i | 0.360630 | − | 0.485881i | ||||
\(452\) | −4.60674 | − | 7.97910i | −0.216683 | − | 0.375305i | ||||
\(453\) | 4.48685 | + | 4.98315i | 0.210811 | + | 0.234129i | ||||
\(454\) | 12.0372 | − | 8.74556i | 0.564935 | − | 0.410449i | ||||
\(455\) | −6.17142 | + | 3.26370i | −0.289321 | + | 0.153005i | ||||
\(456\) | 1.04939 | + | 3.22968i | 0.0491421 | + | 0.151244i | ||||
\(457\) | 31.4906 | + | 6.69353i | 1.47307 | + | 0.313110i | 0.873346 | − | 0.487099i | \(-0.161945\pi\) |
0.599721 | + | 0.800210i | \(0.295278\pi\) | |||||||
\(458\) | −1.34632 | + | 12.8093i | −0.0629092 | + | 0.598542i | ||||
\(459\) | 5.59765 | + | 2.49223i | 0.261276 | + | 0.116327i | ||||
\(460\) | −2.45988 | − | 2.73198i | −0.114693 | − | 0.127379i | ||||
\(461\) | 29.1559 | 1.35792 | 0.678962 | − | 0.734173i | \(-0.262430\pi\) | ||||
0.678962 | + | 0.734173i | \(0.262430\pi\) | |||||||
\(462\) | −0.503322 | − | 8.76052i | −0.0234167 | − | 0.407576i | ||||
\(463\) | 2.99596 | 0.139234 | 0.0696171 | − | 0.997574i | \(-0.477822\pi\) | ||||
0.0696171 | + | 0.997574i | \(0.477822\pi\) | |||||||
\(464\) | 2.65987 | + | 2.95408i | 0.123481 | + | 0.137140i | ||||
\(465\) | 0.795704 | + | 0.354270i | 0.0368999 | + | 0.0164289i | ||||
\(466\) | 0.0492798 | − | 0.468866i | 0.00228284 | − | 0.0217198i | ||||
\(467\) | 33.5653 | + | 7.13452i | 1.55322 | + | 0.330146i | 0.903013 | − | 0.429614i | \(-0.141350\pi\) |
0.650203 | + | 0.759760i | \(0.274684\pi\) | |||||||
\(468\) | −1.95111 | − | 6.00490i | −0.0901901 | − | 0.277577i | ||||
\(469\) | 1.13482 | − | 30.5368i | 0.0524009 | − | 1.41006i | ||||
\(470\) | 0.0621807 | − | 0.0451769i | 0.00286818 | − | 0.00208386i | ||||
\(471\) | −2.43941 | − | 2.70924i | −0.112402 | − | 0.124835i | ||||
\(472\) | −2.23755 | − | 3.87555i | −0.102992 | − | 0.178387i | ||||
\(473\) | −6.56707 | + | 2.06007i | −0.301954 | + | 0.0947222i | ||||
\(474\) | 6.70518 | − | 11.6137i | 0.307979 | − | 0.533435i | ||||
\(475\) | 5.06366 | − | 15.5843i | 0.232337 | − | 0.715059i | ||||
\(476\) | 2.77936 | + | 15.9715i | 0.127392 | + | 0.732053i | ||||
\(477\) | −5.17535 | − | 3.76011i | −0.236963 | − | 0.172164i | ||||
\(478\) | 5.64535 | + | 1.19996i | 0.258212 | + | 0.0548847i | ||||
\(479\) | −10.1989 | + | 11.3270i | −0.465997 | + | 0.517543i | −0.929635 | − | 0.368483i | \(-0.879877\pi\) |
0.463637 | + | 0.886025i | \(0.346544\pi\) | |||||||
\(480\) | 0.0436838 | − | 0.415624i | 0.00199388 | − | 0.0189705i | ||||
\(481\) | 0.566964 | + | 5.39430i | 0.0258513 | + | 0.245959i | ||||
\(482\) | −0.121678 | + | 0.374487i | −0.00554230 | + | 0.0170574i | ||||
\(483\) | 23.2206 | − | 1.57152i | 1.05658 | − | 0.0715066i | ||||
\(484\) | 5.30484 | + | 9.63632i | 0.241129 | + | 0.438015i | ||||
\(485\) | −1.59538 | + | 2.76329i | −0.0724427 | + | 0.125474i | ||||
\(486\) | 0.978148 | − | 0.207912i | 0.0443697 | − | 0.00943107i | ||||
\(487\) | −1.43540 | − | 0.639080i | −0.0650440 | − | 0.0289595i | 0.373957 | − | 0.927446i | \(-0.378001\pi\) |
−0.439001 | + | 0.898487i | \(0.644667\pi\) | |||||||
\(488\) | −6.23441 | + | 2.77574i | −0.282219 | + | 0.125652i | ||||
\(489\) | 4.40484 | + | 13.5567i | 0.199194 | + | 0.613055i | ||||
\(490\) | 1.64670 | − | 2.41791i | 0.0743903 | − | 0.109230i | ||||
\(491\) | 15.8840 | + | 11.5404i | 0.716833 | + | 0.520810i | 0.885371 | − | 0.464885i | \(-0.153904\pi\) |
−0.168538 | + | 0.985695i | \(0.553904\pi\) | |||||||
\(492\) | 0.404992 | + | 3.85324i | 0.0182585 | + | 0.173718i | ||||
\(493\) | 23.8248 | − | 5.06412i | 1.07301 | − | 0.228076i | ||||
\(494\) | −10.7207 | − | 18.5688i | −0.482347 | − | 0.835450i | ||||
\(495\) | 1.02055 | + | 0.937898i | 0.0458701 | + | 0.0421554i | ||||
\(496\) | −2.08418 | −0.0935824 | ||||||||
\(497\) | −2.00769 | + | 7.97629i | −0.0900571 | + | 0.357786i | ||||
\(498\) | −9.51325 | + | 6.91178i | −0.426299 | + | 0.309724i | ||||
\(499\) | 11.2143 | − | 4.99295i | 0.502023 | − | 0.223515i | −0.140070 | − | 0.990142i | \(-0.544733\pi\) |
0.642093 | + | 0.766626i | \(0.278066\pi\) | |||||||
\(500\) | −2.74755 | + | 3.05146i | −0.122874 | + | 0.136465i | ||||
\(501\) | 8.42927 | − | 9.36165i | 0.376592 | − | 0.418248i | ||||
\(502\) | 12.3728 | − | 5.50872i | 0.552225 | − | 0.245866i | ||||
\(503\) | 30.5400 | − | 22.1886i | 1.36171 | − | 0.989340i | 0.363376 | − | 0.931643i | \(-0.381624\pi\) |
0.998334 | − | 0.0576975i | \(-0.0183759\pi\) | |||||||
\(504\) | 1.89908 | + | 1.84215i | 0.0845915 | + | 0.0820558i | ||||
\(505\) | 0.187669 | 0.00835115 | ||||||||
\(506\) | −25.4137 | + | 14.3295i | −1.12978 | + | 0.637025i | ||||
\(507\) | 13.4328 | + | 23.2663i | 0.596573 | + | 1.03329i | ||||
\(508\) | −2.05070 | + | 0.435889i | −0.0909850 | + | 0.0193395i | ||||
\(509\) | 3.56959 | + | 33.9624i | 0.158219 | + | 1.50536i | 0.729147 | + | 0.684357i | \(0.239917\pi\) |
−0.570928 | + | 0.821000i | \(0.693416\pi\) | |||||||
\(510\) | −2.07166 | − | 1.50515i | −0.0917348 | − | 0.0666492i | ||||
\(511\) | −6.50264 | + | 8.28470i | −0.287660 | + | 0.366494i | ||||
\(512\) | 0.309017 | + | 0.951057i | 0.0136568 | + | 0.0420312i | ||||
\(513\) | 3.10230 | − | 1.38123i | 0.136970 | − | 0.0609829i | ||||
\(514\) | 11.2647 | + | 5.01535i | 0.496863 | + | 0.221218i | ||||
\(515\) | 7.51218 | − | 1.59676i | 0.331026 | − | 0.0703618i | ||||
\(516\) | 1.03759 | − | 1.79716i | 0.0456775 | − | 0.0791157i | ||||
\(517\) | −0.242409 | − | 0.559733i | −0.0106611 | − | 0.0246170i | ||||
\(518\) | −1.26674 | − | 1.88712i | −0.0556574 | − | 0.0829152i | ||||
\(519\) | 3.94561 | − | 12.1433i | 0.173193 | − | 0.533033i | ||||
\(520\) | 0.275816 | + | 2.62422i | 0.0120954 | + | 0.115080i | ||||
\(521\) | −2.74385 | + | 26.1060i | −0.120210 | + | 1.14373i | 0.753557 | + | 0.657382i | \(0.228336\pi\) |
−0.873768 | + | 0.486343i | \(0.838330\pi\) | |||||||
\(522\) | 2.65987 | − | 2.95408i | 0.116419 | − | 0.129297i | ||||
\(523\) | −12.7408 | − | 2.70813i | −0.557115 | − | 0.118418i | −0.0792549 | − | 0.996854i | \(-0.525254\pi\) |
−0.477860 | + | 0.878436i | \(0.658587\pi\) | |||||||
\(524\) | −17.7580 | − | 12.9019i | −0.775760 | − | 0.563623i | ||||
\(525\) | −2.18876 | − | 12.5776i | −0.0955253 | − | 0.548934i | ||||
\(526\) | 0.727310 | − | 2.23843i | 0.0317122 | − | 0.0976002i | ||||
\(527\) | −6.38529 | + | 11.0596i | −0.278147 | + | 0.481765i | ||||
\(528\) | −3.14370 | − | 1.05696i | −0.136812 | − | 0.0459985i | ||||
\(529\) | −27.1905 | − | 47.0954i | −1.18220 | − | 2.04762i | ||||
\(530\) | 1.78887 | + | 1.98674i | 0.0777036 | + | 0.0862986i | ||||
\(531\) | −3.62044 | + | 2.63040i | −0.157114 | + | 0.114150i | ||||
\(532\) | 7.60876 | + | 4.77820i | 0.329882 | + | 0.207161i | ||||
\(533\) | −7.55951 | − | 23.2658i | −0.327439 | − | 1.00775i | ||||
\(534\) | −9.43033 | − | 2.00448i | −0.408090 | − | 0.0867422i | ||||
\(535\) | −0.763688 | + | 7.26601i | −0.0330171 | + | 0.314137i | ||||
\(536\) | −10.5513 | − | 4.69773i | −0.455746 | − | 0.202911i | ||||
\(537\) | −8.12529 | − | 9.02405i | −0.350632 | − | 0.389416i | ||||
\(538\) | −15.9228 | −0.686480 | ||||||||
\(539\) | −15.8809 | − | 16.9351i | −0.684038 | − | 0.729447i | ||||
\(540\) | −0.417913 | −0.0179841 | ||||||||
\(541\) | 11.2410 | + | 12.4844i | 0.483289 | + | 0.536747i | 0.934638 | − | 0.355601i | \(-0.115724\pi\) |
−0.451349 | + | 0.892348i | \(0.649057\pi\) | |||||||
\(542\) | −7.84885 | − | 3.49453i | −0.337137 | − | 0.150103i | ||||
\(543\) | 1.44446 | − | 13.7431i | 0.0619877 | − | 0.589774i | ||||
\(544\) | 5.99349 | + | 1.27396i | 0.256969 | + | 0.0546204i | ||||
\(545\) | −2.61055 | − | 8.03446i | −0.111824 | − | 0.344158i | ||||
\(546\) | −14.1469 | − | 8.88403i | −0.605430 | − | 0.380201i | ||||
\(547\) | −13.2517 | + | 9.62789i | −0.566600 | + | 0.411659i | −0.833869 | − | 0.551963i | \(-0.813879\pi\) |
0.267269 | + | 0.963622i | \(0.413879\pi\) | |||||||
\(548\) | −10.4145 | − | 11.5664i | −0.444884 | − | 0.494094i | ||||
\(549\) | 3.41221 | + | 5.91011i | 0.145629 | + | 0.252238i | ||||
\(550\) | 9.27449 | + | 13.0425i | 0.395466 | + | 0.556135i | ||||
\(551\) | 6.74952 | − | 11.6905i | 0.287539 | − | 0.498033i | ||||
\(552\) | 2.71831 | − | 8.36611i | 0.115699 | − | 0.356085i | ||||
\(553\) | −6.08289 | − | 34.9552i | −0.258671 | − | 1.48644i | ||||
\(554\) | 0.757044 | + | 0.550025i | 0.0321637 | + | 0.0233683i | ||||
\(555\) | 0.351166 | + | 0.0746426i | 0.0149062 | + | 0.00316840i | ||||
\(556\) | −3.75278 | + | 4.16789i | −0.159153 | + | 0.176758i | ||||
\(557\) | −1.45104 | + | 13.8057i | −0.0614825 | + | 0.584967i | 0.919799 | + | 0.392389i | \(0.128351\pi\) |
−0.981282 | + | 0.192578i | \(0.938315\pi\) | |||||||
\(558\) | 0.217856 | + | 2.07276i | 0.00922258 | + | 0.0877470i | ||||
\(559\) | −4.04892 | + | 12.4613i | −0.171251 | + | 0.527056i | ||||
\(560\) | −0.616243 | − | 0.918044i | −0.0260410 | − | 0.0387944i | ||||
\(561\) | −15.2401 | + | 13.4437i | −0.643436 | + | 0.567595i | ||||
\(562\) | −5.07334 | + | 8.78729i | −0.214006 | + | 0.370669i | ||||
\(563\) | −44.8624 | + | 9.53581i | −1.89073 | + | 0.401886i | −0.998740 | − | 0.0501759i | \(-0.984022\pi\) |
−0.891986 | + | 0.452062i | \(0.850688\pi\) | |||||||
\(564\) | 0.168013 | + | 0.0748041i | 0.00707461 | + | 0.00314982i | ||||
\(565\) | 3.51754 | − | 1.56611i | 0.147984 | − | 0.0658868i | ||||
\(566\) | −2.67033 | − | 8.21843i | −0.112242 | − | 0.345446i | ||||
\(567\) | 1.63355 | − | 2.08123i | 0.0686027 | − | 0.0874034i | ||||
\(568\) | 2.51506 | + | 1.82730i | 0.105530 | + | 0.0766719i | ||||
\(569\) | 2.06857 | + | 19.6811i | 0.0867190 | + | 0.825076i | 0.948283 | + | 0.317427i | \(0.102819\pi\) |
−0.861564 | + | 0.507649i | \(0.830515\pi\) | |||||||
\(570\) | −1.38817 | + | 0.295066i | −0.0581442 | + | 0.0123589i | ||||
\(571\) | 10.5072 | + | 18.1989i | 0.439711 | + | 0.761601i | 0.997667 | − | 0.0682691i | \(-0.0217476\pi\) |
−0.557956 | + | 0.829870i | \(0.688414\pi\) | |||||||
\(572\) | 20.8028 | + | 2.40091i | 0.869810 | + | 0.100387i | ||||
\(573\) | −5.12837 | −0.214241 | ||||||||
\(574\) | 7.35791 | + | 7.13735i | 0.307113 | + | 0.297907i | ||||
\(575\) | −34.3403 | + | 24.9497i | −1.43209 | + | 1.04047i | ||||
\(576\) | 0.913545 | − | 0.406737i | 0.0380644 | − | 0.0169474i | ||||
\(577\) | 6.58628 | − | 7.31481i | 0.274191 | − | 0.304520i | −0.590284 | − | 0.807195i | \(-0.700984\pi\) |
0.864475 | + | 0.502676i | \(0.167651\pi\) | |||||||
\(578\) | 13.7472 | − | 15.2678i | 0.571808 | − | 0.635057i | ||||
\(579\) | 16.2105 | − | 7.21736i | 0.673684 | − | 0.299943i | ||||
\(580\) | −1.34398 | + | 0.976460i | −0.0558058 | + | 0.0405453i | ||||
\(581\) | −7.59410 | + | 30.1704i | −0.315056 | + | 1.25168i | ||||
\(582\) | −7.63500 | −0.316481 | ||||||||
\(583\) | 18.4813 | − | 10.4207i | 0.765418 | − | 0.431581i | ||||
\(584\) | 1.99034 | + | 3.44737i | 0.0823608 | + | 0.142653i | ||||
\(585\) | 2.58101 | − | 0.548611i | 0.106712 | − | 0.0226823i | ||||
\(586\) | −0.512198 | − | 4.87324i | −0.0211587 | − | 0.201312i | ||||
\(587\) | 30.6558 | + | 22.2728i | 1.26530 | + | 0.919295i | 0.999005 | − | 0.0445960i | \(-0.0142001\pi\) |
0.266296 | + | 0.963891i | \(0.414200\pi\) | |||||||
\(588\) | 6.98069 | + | 0.519553i | 0.287879 | + | 0.0214260i | ||||
\(589\) | 2.18711 | + | 6.73124i | 0.0901184 | + | 0.277356i | ||||
\(590\) | 1.70852 | − | 0.760681i | 0.0703386 | − | 0.0313167i | ||||
\(591\) | −7.44202 | − | 3.31340i | −0.306124 | − | 0.136295i | ||||
\(592\) | −0.840284 | + | 0.178608i | −0.0345354 | + | 0.00734074i | ||||
\(593\) | 5.28653 | − | 9.15654i | 0.217092 | − | 0.376014i | −0.736826 | − | 0.676083i | \(-0.763676\pi\) |
0.953918 | + | 0.300069i | \(0.0970096\pi\) | |||||||
\(594\) | −0.722568 | + | 3.23696i | −0.0296473 | + | 0.132814i | ||||
\(595\) | −6.75955 | + | 0.457471i | −0.277115 | + | 0.0187545i | ||||
\(596\) | 2.46372 | − | 7.58254i | 0.100918 | − | 0.310593i | ||||
\(597\) | 1.84002 | + | 17.5066i | 0.0753071 | + | 0.716499i | ||||
\(598\) | −5.80566 | + | 55.2371i | −0.237411 | + | 2.25881i | ||||
\(599\) | 17.1786 | − | 19.0787i | 0.701898 | − | 0.779536i | −0.281779 | − | 0.959479i | \(-0.590925\pi\) |
0.983677 | + | 0.179943i | \(0.0575913\pi\) | |||||||
\(600\) | −4.71990 | − | 1.00325i | −0.192689 | − | 0.0409574i | ||||
\(601\) | −13.7091 | − | 9.96022i | −0.559204 | − | 0.406286i | 0.271963 | − | 0.962308i | \(-0.412327\pi\) |
−0.831168 | + | 0.556022i | \(0.812327\pi\) | |||||||
\(602\) | −0.941297 | − | 5.40913i | −0.0383644 | − | 0.220460i | ||||
\(603\) | −3.56909 | + | 10.9845i | −0.145344 | + | 0.447324i | ||||
\(604\) | 3.35275 | − | 5.80713i | 0.136421 | − | 0.236289i | ||||
\(605\) | −4.23682 | + | 1.78386i | −0.172251 | + | 0.0725244i | ||||
\(606\) | 0.224531 | + | 0.388898i | 0.00912093 | + | 0.0157979i | ||||
\(607\) | −8.36516 | − | 9.29045i | −0.339531 | − | 0.377088i | 0.549064 | − | 0.835781i | \(-0.314984\pi\) |
−0.888595 | + | 0.458693i | \(0.848318\pi\) | |||||||
\(608\) | 2.74733 | − | 1.99605i | 0.111419 | − | 0.0809507i | ||||
\(609\) | 0.390571 | − | 10.5099i | 0.0158267 | − | 0.425883i | ||||
\(610\) | −0.881320 | − | 2.71242i | −0.0356836 | − | 0.109823i | ||||
\(611\) | −1.13584 | − | 0.241429i | −0.0459510 | − | 0.00976719i | ||||
\(612\) | 0.640486 | − | 6.09382i | 0.0258901 | − | 0.246328i | ||||
\(613\) | −8.37427 | − | 3.72846i | −0.338233 | − | 0.150591i | 0.230590 | − | 0.973051i | \(-0.425934\pi\) |
−0.568823 | + | 0.822460i | \(0.692601\pi\) | |||||||
\(614\) | −13.6747 | − | 15.1873i | −0.551868 | − | 0.612911i | ||||
\(615\) | −1.61919 | −0.0652921 | ||||||||
\(616\) | −8.17621 | + | 3.18584i | −0.329429 | + | 0.128361i | ||||
\(617\) | 15.3923 | 0.619671 | 0.309836 | − | 0.950790i | \(-0.399726\pi\) | ||||
0.309836 | + | 0.950790i | \(0.399726\pi\) | |||||||
\(618\) | 12.2966 | + | 13.6568i | 0.494643 | + | 0.549357i | ||||
\(619\) | 27.3874 | + | 12.1936i | 1.10079 | + | 0.490104i | 0.875025 | − | 0.484078i | \(-0.160845\pi\) |
0.225766 | + | 0.974182i | \(0.427511\pi\) | |||||||
\(620\) | 0.0910449 | − | 0.866235i | 0.00365645 | − | 0.0347888i | ||||
\(621\) | −8.60442 | − | 1.82893i | −0.345284 | − | 0.0733923i | ||||
\(622\) | 6.79823 | + | 20.9228i | 0.272584 | + | 0.838928i | ||||
\(623\) | −22.5487 | + | 11.9247i | −0.903395 | + | 0.477753i | ||||
\(624\) | −5.10807 | + | 3.71123i | −0.204487 | + | 0.148568i | ||||
\(625\) | 14.9957 | + | 16.6544i | 0.599828 | + | 0.666177i | ||||
\(626\) | −14.5301 | − | 25.1669i | −0.580741 | − | 1.00587i | ||||
\(627\) | −0.114703 | + | 11.2623i | −0.00458079 | + | 0.449773i | ||||
\(628\) | −1.82282 | + | 3.15722i | −0.0727385 | + | 0.125987i | ||||
\(629\) | −1.62659 | + | 5.00614i | −0.0648566 | + | 0.199608i | ||||
\(630\) | −0.848600 | + | 0.708829i | −0.0338090 | + | 0.0282404i | ||||
\(631\) | 5.49787 | + | 3.99443i | 0.218867 | + | 0.159016i | 0.691816 | − | 0.722074i | \(-0.256811\pi\) |
−0.472950 | + | 0.881089i | \(0.656811\pi\) | |||||||
\(632\) | −13.1173 | − | 2.78817i | −0.521779 | − | 0.110907i | ||||
\(633\) | −15.0442 | + | 16.7083i | −0.597953 | + | 0.664094i | ||||
\(634\) | −2.43165 | + | 23.1356i | −0.0965733 | + | 0.918834i | ||||
\(635\) | −0.0915836 | − | 0.871360i | −0.00363438 | − | 0.0345789i | ||||
\(636\) | −1.97681 | + | 6.08399i | −0.0783855 | + | 0.241246i | ||||
\(637\) | −43.7945 | + | 5.95509i | −1.73520 | + | 0.235949i | ||||
\(638\) | 5.23946 | + | 12.0981i | 0.207432 | + | 0.478970i | ||||
\(639\) | 1.55440 | − | 2.69229i | 0.0614909 | − | 0.106505i | ||||
\(640\) | −0.408781 | + | 0.0868890i | −0.0161585 | + | 0.00343459i | ||||
\(641\) | −43.0515 | − | 19.1678i | −1.70043 | − | 0.757081i | −0.999017 | − | 0.0443274i | \(-0.985886\pi\) |
−0.701415 | − | 0.712754i | \(-0.747448\pi\) | |||||||
\(642\) | −15.9708 | + | 7.11064i | −0.630315 | + | 0.280634i | ||||
\(643\) | −1.87575 | − | 5.77295i | −0.0739722 | − | 0.227663i | 0.907234 | − | 0.420627i | \(-0.138190\pi\) |
−0.981206 | + | 0.192964i | \(0.938190\pi\) | |||||||
\(644\) | −8.67017 | − | 21.5985i | −0.341653 | − | 0.851100i | ||||
\(645\) | 0.701618 | + | 0.509755i | 0.0276262 | + | 0.0200716i | ||||
\(646\) | −2.17502 | − | 20.6939i | −0.0855751 | − | 0.814192i | ||||
\(647\) | −22.3330 | + | 4.74703i | −0.878002 | + | 0.186625i | −0.624797 | − | 0.780788i | \(-0.714818\pi\) |
−0.253205 | + | 0.967413i | \(0.581485\pi\) | |||||||
\(648\) | −0.500000 | − | 0.866025i | −0.0196419 | − | 0.0340207i | ||||
\(649\) | −2.93786 | − | 14.5486i | −0.115321 | − | 0.571082i | ||||
\(650\) | 30.4669 | 1.19501 | ||||||||
\(651\) | 3.95801 | + | 3.83937i | 0.155127 | + | 0.150477i | ||||
\(652\) | 11.5320 | − | 8.37851i | 0.451629 | − | 0.328128i | ||||
\(653\) | −26.3060 | + | 11.7122i | −1.02943 | + | 0.458334i | −0.850749 | − | 0.525572i | \(-0.823851\pi\) |
−0.178686 | + | 0.983906i | \(0.557185\pi\) | |||||||
\(654\) | 13.5262 | − | 15.0223i | 0.528915 | − | 0.587420i | ||||
\(655\) | 6.13808 | − | 6.81703i | 0.239835 | − | 0.266363i | ||||
\(656\) | 3.53950 | − | 1.57589i | 0.138194 | − | 0.0615281i | ||||
\(657\) | 3.22044 | − | 2.33978i | 0.125641 | − | 0.0912837i | ||||
\(658\) | 0.468037 | − | 0.133074i | 0.0182460 | − | 0.00518778i | ||||
\(659\) | −10.5554 | −0.411180 | −0.205590 | − | 0.978638i | \(-0.565911\pi\) | ||||
−0.205590 | + | 0.978638i | \(0.565911\pi\) | |||||||
\(660\) | 0.576628 | − | 1.26042i | 0.0224452 | − | 0.0490619i | ||||
\(661\) | 13.4052 | + | 23.2184i | 0.521401 | + | 0.903092i | 0.999690 | + | 0.0248903i | \(0.00792363\pi\) |
−0.478290 | + | 0.878202i | \(0.658743\pi\) | |||||||
\(662\) | −33.8782 | + | 7.20103i | −1.31671 | + | 0.279876i | ||||
\(663\) | 4.04398 | + | 38.4759i | 0.157055 | + | 1.49428i | ||||
\(664\) | 9.51325 | + | 6.91178i | 0.369186 | + | 0.268229i | ||||
\(665\) | −2.31831 | + | 2.95365i | −0.0899003 | + | 0.114538i | ||||
\(666\) | 0.265463 | + | 0.817011i | 0.0102865 | + | 0.0316585i | ||||
\(667\) | −31.9446 | + | 14.2226i | −1.23690 | + | 0.550703i | ||||
\(668\) | −11.5082 | − | 5.12380i | −0.445267 | − | 0.198246i | ||||
\(669\) | 21.9944 | − | 4.67505i | 0.850352 | − | 0.180748i | ||||
\(670\) | 2.41341 | − | 4.18015i | 0.0932381 | − | 0.161493i | ||||
\(671\) | −22.5329 | + | 2.13653i | −0.869875 | + | 0.0824799i | ||||
\(672\) | 1.16514 | − | 2.37538i | 0.0449463 | − | 0.0916324i | ||||
\(673\) | 4.58631 | − | 14.1152i | 0.176789 | − | 0.544101i | −0.822922 | − | 0.568155i | \(-0.807657\pi\) |
0.999711 | + | 0.0240540i | \(0.00765738\pi\) | |||||||
\(674\) | 3.46288 | + | 32.9471i | 0.133385 | + | 1.26908i | ||||
\(675\) | −0.504386 | + | 4.79891i | −0.0194138 | + | 0.184710i | ||||
\(676\) | 17.9766 | − | 19.9651i | 0.691409 | − | 0.767887i | ||||
\(677\) | −41.2112 | − | 8.75972i | −1.58388 | − | 0.336663i | −0.669907 | − | 0.742445i | \(-0.733666\pi\) |
−0.913970 | + | 0.405782i | \(0.866999\pi\) | |||||||
\(678\) | 7.45386 | + | 5.41554i | 0.286264 | + | 0.207983i | ||||
\(679\) | −15.5034 | + | 12.9498i | −0.594965 | + | 0.496969i | ||||
\(680\) | −0.791305 | + | 2.43539i | −0.0303452 | + | 0.0933928i | ||||
\(681\) | −7.43942 | + | 12.8854i | −0.285079 | + | 0.493771i | ||||
\(682\) | −6.55203 | − | 2.20290i | −0.250890 | − | 0.0843535i | ||||
\(683\) | −8.91415 | − | 15.4398i | −0.341091 | − | 0.590786i | 0.643545 | − | 0.765408i | \(-0.277463\pi\) |
−0.984636 | + | 0.174622i | \(0.944130\pi\) | |||||||
\(684\) | −2.27229 | − | 2.52364i | −0.0868833 | − | 0.0964937i | ||||
\(685\) | 5.26223 | − | 3.82324i | 0.201060 | − | 0.146078i | ||||
\(686\) | 15.0560 | − | 10.7851i | 0.574840 | − | 0.411776i | ||||
\(687\) | −3.98011 | − | 12.2495i | −0.151851 | − | 0.467348i | ||||
\(688\) | −2.02984 | − | 0.431455i | −0.0773869 | − | 0.0164491i | ||||
\(689\) | 4.22198 | − | 40.1695i | 0.160845 | − | 1.53033i | ||||
\(690\) | 3.35841 | + | 1.49526i | 0.127852 | + | 0.0569236i | ||||
\(691\) | −26.2437 | − | 29.1466i | −0.998357 | − | 1.10879i | −0.994064 | − | 0.108797i | \(-0.965300\pi\) |
−0.00429268 | − | 0.999991i | \(-0.501366\pi\) | |||||||
\(692\) | −12.7682 | −0.485376 | ||||||||
\(693\) | 4.02303 | + | 7.79841i | 0.152822 | + | 0.296237i | ||||
\(694\) | −11.0030 | −0.417667 | ||||||||
\(695\) | −1.56834 | − | 1.74182i | −0.0594904 | − | 0.0660708i | ||||
\(696\) | −3.63145 | − | 1.61682i | −0.137650 | − | 0.0612856i | ||||
\(697\) | 2.48154 | − | 23.6103i | 0.0939952 | − | 0.894304i | ||||
\(698\) | −0.203132 | − | 0.0431770i | −0.00768866 | − | 0.00163427i | ||||
\(699\) | 0.145686 | + | 0.448374i | 0.00551034 | + | 0.0169591i | ||||
\(700\) | −11.2857 | + | 5.96834i | −0.426559 | + | 0.225582i | ||||
\(701\) | 29.8242 | − | 21.6686i | 1.12645 | − | 0.818411i | 0.141272 | − | 0.989971i | \(-0.454881\pi\) |
0.985174 | + | 0.171560i | \(0.0548807\pi\) | |||||||
\(702\) | 4.22484 | + | 4.69216i | 0.159456 | + | 0.177094i | ||||
\(703\) | 1.45863 | + | 2.52642i | 0.0550133 | + | 0.0952858i | ||||
\(704\) | −0.0337770 | + | 3.31645i | −0.00127302 | + | 0.124994i | ||||
\(705\) | −0.0384298 | + | 0.0665624i | −0.00144735 | + | 0.00250688i | ||||
\(706\) | 1.25389 | − | 3.85907i | 0.0471906 | − | 0.145238i | ||||
\(707\) | 1.11554 | + | 0.408854i | 0.0419542 | + | 0.0153765i | ||||
\(708\) | 3.62044 | + | 2.63040i | 0.136064 | + | 0.0988565i | ||||
\(709\) | 33.3236 | + | 7.08316i | 1.25150 | + | 0.266014i | 0.785549 | − | 0.618799i | \(-0.212381\pi\) |
0.465947 | + | 0.884813i | \(0.345714\pi\) | |||||||
\(710\) | −0.869338 | + | 0.965497i | −0.0326257 | + | 0.0362345i | ||||
\(711\) | −1.40176 | + | 13.3369i | −0.0525703 | + | 0.500173i | ||||
\(712\) | 1.00776 | + | 9.58819i | 0.0377674 | + | 0.359333i | ||||
\(713\) | 5.66545 | − | 17.4365i | 0.212173 | − | 0.653001i | ||||
\(714\) | −9.03527 | − | 13.4602i | −0.338137 | − | 0.503737i | ||||
\(715\) | −1.90662 | + | 8.54127i | −0.0713036 | + | 0.319425i | ||||
\(716\) | −6.07153 | + | 10.5162i | −0.226904 | + | 0.393008i | ||||
\(717\) | −5.64535 | + | 1.19996i | −0.210829 | + | 0.0448132i | ||||
\(718\) | −13.4643 | − | 5.99467i | −0.502481 | − | 0.223719i | ||||
\(719\) | −11.8069 | + | 5.25677i | −0.440323 | + | 0.196044i | −0.614910 | − | 0.788597i | \(-0.710808\pi\) |
0.174587 | + | 0.984642i | \(0.444141\pi\) | |||||||
\(720\) | 0.129142 | + | 0.397459i | 0.00481285 | + | 0.0148124i | ||||
\(721\) | 48.1326 | + | 6.87450i | 1.79255 | + | 0.256020i | ||||
\(722\) | 6.04168 | + | 4.38954i | 0.224848 | + | 0.163362i | ||||
\(723\) | −0.0411591 | − | 0.391602i | −0.00153072 | − | 0.0145638i | ||||
\(724\) | −13.5168 | + | 2.87309i | −0.502350 | + | 0.106778i | ||||
\(725\) | 9.59065 | + | 16.6115i | 0.356188 | + | 0.616936i | ||||
\(726\) | −8.76565 | − | 6.64555i | −0.325324 | − | 0.246639i | ||||
\(727\) | −15.6572 | −0.580695 | −0.290347 | − | 0.956921i | \(-0.593771\pi\) | ||||
−0.290347 | + | 0.956921i | \(0.593771\pi\) | |||||||
\(728\) | −4.07760 | + | 16.1998i | −0.151126 | + | 0.600404i | ||||
\(729\) | −0.809017 | + | 0.587785i | −0.0299636 | + | 0.0217698i | ||||
\(730\) | −1.51975 | + | 0.676638i | −0.0562486 | + | 0.0250435i | ||||
\(731\) | −8.50831 | + | 9.44943i | −0.314691 | + | 0.349500i | ||||
\(732\) | 4.56642 | − | 5.07153i | 0.168780 | − | 0.187449i | ||||
\(733\) | 31.9828 | − | 14.2396i | 1.18131 | − | 0.525953i | 0.280368 | − | 0.959892i | \(-0.409543\pi\) |
0.900942 | + | 0.433939i | \(0.142877\pi\) | |||||||
\(734\) | 13.5301 | − | 9.83022i | 0.499407 | − | 0.362840i | ||||
\(735\) | −0.520882 | + | 2.87865i | −0.0192130 | + | 0.106180i | ||||
\(736\) | −8.79665 | −0.324249 | ||||||||
\(737\) | −28.2047 | − | 25.9206i | −1.03893 | − | 0.954796i | ||||
\(738\) | −1.93723 | − | 3.35539i | −0.0713106 | − | 0.123514i | ||||
\(739\) | −44.5127 | + | 9.46147i | −1.63743 | + | 0.348046i | −0.932482 | − | 0.361217i | \(-0.882361\pi\) |
−0.704944 | + | 0.709263i | \(0.749028\pi\) | |||||||
\(740\) | −0.0375269 | − | 0.357044i | −0.00137951 | − | 0.0131252i | ||||
\(741\) | 17.3465 | + | 12.6029i | 0.637238 | + | 0.462980i | ||||
\(742\) | 6.30511 | + | 15.7068i | 0.231468 | + | 0.576616i | ||||
\(743\) | 6.74844 | + | 20.7696i | 0.247576 | + | 0.761961i | 0.995202 | + | 0.0978412i | \(0.0311937\pi\) |
−0.747626 | + | 0.664120i | \(0.768806\pi\) | |||||||
\(744\) | 1.90399 | − | 0.847712i | 0.0698037 | − | 0.0310786i | ||||
\(745\) | 3.04386 | + | 1.35521i | 0.111518 | + | 0.0496512i | ||||
\(746\) | −12.8187 | + | 2.72470i | −0.469326 | + | 0.0997584i | ||||
\(747\) | 5.87951 | − | 10.1836i | 0.215120 | − | 0.372599i | ||||
\(748\) | 17.4952 | + | 10.3398i | 0.639687 | + | 0.378062i | ||||
\(749\) | −20.3692 | + | 41.5268i | −0.744274 | + | 1.51736i | ||||
\(750\) | 1.26887 | − | 3.90517i | 0.0463325 | − | 0.142597i | ||||
\(751\) | −2.93474 | − | 27.9222i | −0.107090 | − | 1.01889i | −0.907675 | − | 0.419674i | \(-0.862144\pi\) |
0.800585 | − | 0.599220i | \(-0.204522\pi\) | |||||||
\(752\) | 0.0192241 | − | 0.182905i | 0.000701032 | − | 0.00666987i | ||||
\(753\) | −9.06251 | + | 10.0649i | −0.330256 | + | 0.366787i | ||||
\(754\) | 24.5501 | + | 5.21829i | 0.894062 | + | 0.190039i | ||||
\(755\) | 2.26712 | + | 1.64716i | 0.0825090 | + | 0.0599463i | ||||
\(756\) | −2.48416 | − | 0.910463i | −0.0903481 | − | 0.0331132i | ||||
\(757\) | −2.62226 | + | 8.07050i | −0.0953078 | + | 0.293327i | −0.987334 | − | 0.158657i | \(-0.949284\pi\) |
0.892026 | + | 0.451984i | \(0.149284\pi\) | |||||||
\(758\) | −3.46549 | + | 6.00241i | −0.125872 | + | 0.218017i | ||||
\(759\) | 17.3882 | − | 23.4274i | 0.631153 | − | 0.850359i | ||||
\(760\) | 0.709594 | + | 1.22905i | 0.0257397 | + | 0.0445824i | ||||
\(761\) | −32.9534 | − | 36.5984i | −1.19456 | − | 1.32669i | −0.932296 | − | 0.361695i | \(-0.882198\pi\) |
−0.262263 | − | 0.964997i | \(-0.584469\pi\) | |||||||
\(762\) | 1.69611 | − | 1.23230i | 0.0614437 | − | 0.0446414i | ||||
\(763\) | 1.98616 | − | 53.4458i | 0.0719039 | − | 1.93487i | ||||
\(764\) | 1.58475 | + | 4.87737i | 0.0573344 | + | 0.176457i | ||||
\(765\) | 2.50476 | + | 0.532403i | 0.0905597 | + | 0.0192491i | ||||
\(766\) | 1.06006 | − | 10.0858i | 0.0383014 | − | 0.364414i | ||||
\(767\) | −25.8127 | − | 11.4925i | −0.932041 | − | 0.414972i | ||||
\(768\) | −0.669131 | − | 0.743145i | −0.0241452 | − | 0.0268159i | ||||
\(769\) | 42.4983 | 1.53253 | 0.766264 | − | 0.642526i | \(-0.222114\pi\) | ||||
0.766264 | + | 0.642526i | \(0.222114\pi\) | |||||||
\(770\) | −0.966941 | − | 3.53740i | −0.0348461 | − | 0.127479i | ||||
\(771\) | −12.3307 | −0.444080 | ||||||||
\(772\) | −11.8734 | − | 13.1868i | −0.427334 | − | 0.474603i | ||||
\(773\) | 28.3901 | + | 12.6401i | 1.02112 | + | 0.454633i | 0.847847 | − | 0.530241i | \(-0.177899\pi\) |
0.173275 | + | 0.984874i | \(0.444565\pi\) | |||||||
\(774\) | −0.216916 | + | 2.06382i | −0.00779688 | + | 0.0741824i | ||||
\(775\) | −9.83712 | − | 2.09095i | −0.353360 | − | 0.0751090i | ||||
\(776\) | 2.35935 | + | 7.26132i | 0.0846956 | + | 0.260666i | ||||
\(777\) | 1.92478 | + | 1.20874i | 0.0690513 | + | 0.0433632i | ||||
\(778\) | −3.64582 | + | 2.64884i | −0.130709 | + | 0.0949656i | ||||
\(779\) | −8.80393 | − | 9.77775i | −0.315434 | − | 0.350324i | ||||
\(780\) | −1.31934 | − | 2.28516i | −0.0472398 | − | 0.0818218i | ||||
\(781\) | 5.97521 | + | 8.40281i | 0.213810 | + | 0.300676i | ||||
\(782\) | −26.9502 | + | 46.6792i | −0.963739 | + | 1.66924i | ||||
\(783\) | −1.22838 | + | 3.78056i | −0.0438986 | + | 0.135106i | ||||
\(784\) | −1.66303 | − | 6.79958i | −0.0593939 | − | 0.242842i | ||||
\(785\) | −1.23259 | − | 0.895527i | −0.0439929 | − | 0.0319627i | ||||
\(786\) | 21.4704 | + | 4.56367i | 0.765823 | + | 0.162781i | ||||
\(787\) | −17.7609 | + | 19.7255i | −0.633108 | + | 0.703138i | −0.971278 | − | 0.237947i | \(-0.923526\pi\) |
0.338170 | + | 0.941085i | \(0.390192\pi\) | |||||||
\(788\) | −0.851521 | + | 8.10168i | −0.0303342 | + | 0.288610i | ||||
\(789\) | 0.246021 | + | 2.34073i | 0.00875857 | + | 0.0833323i | ||||
\(790\) | 1.73184 | − | 5.33007i | 0.0616163 | − | 0.189635i | ||||
\(791\) | 24.3209 | − | 1.64598i | 0.864753 | − | 0.0585245i | ||||
\(792\) | 3.30182 | − | 0.313072i | 0.117325 | − | 0.0111245i | ||||
\(793\) | −21.5444 | + | 37.3160i | −0.765065 | + | 1.32513i | ||||
\(794\) | −9.46749 | + | 2.01238i | −0.335989 | + | 0.0714166i | ||||
\(795\) | −2.44230 | − | 1.08738i | −0.0866193 | − | 0.0385654i | ||||
\(796\) | 16.0812 | − | 7.15981i | 0.569983 | − | 0.253773i | ||||
\(797\) | −0.551135 | − | 1.69622i | −0.0195222 | − | 0.0600832i | 0.940821 | − | 0.338904i | \(-0.110056\pi\) |
−0.960343 | + | 0.278821i | \(0.910056\pi\) | |||||||
\(798\) | −8.89442 | − | 1.27034i | −0.314859 | − | 0.0449695i | ||||
\(799\) | −0.911685 | − | 0.662378i | −0.0322531 | − | 0.0234333i | ||||
\(800\) | 0.504386 | + | 4.79891i | 0.0178327 | + | 0.169667i | ||||
\(801\) | 9.43033 | − | 2.00448i | 0.333204 | − | 0.0708247i | ||||
\(802\) | −3.52687 | − | 6.10872i | −0.124538 | − | 0.215707i | ||||
\(803\) | 2.61328 | + | 12.9412i | 0.0922205 | + | 0.456685i | ||||
\(804\) | 11.5498 | 0.407330 | ||||||||
\(805\) | 9.35560 | − | 2.66003i | 0.329742 | − | 0.0937536i | ||||
\(806\) | −10.6461 | + | 7.73487i | −0.374994 | + | 0.272449i | ||||
\(807\) | 14.5462 | − | 6.47638i | 0.512050 | − | 0.227979i | ||||
\(808\) | 0.300481 | − | 0.333718i | 0.0105709 | − | 0.0117401i | ||||
\(809\) | −6.10318 | + | 6.77826i | −0.214576 | + | 0.238311i | −0.840818 | − | 0.541318i | \(-0.817926\pi\) |
0.626242 | + | 0.779629i | \(0.284592\pi\) | |||||||
\(810\) | 0.381783 | − | 0.169981i | 0.0134145 | − | 0.00597251i | ||||
\(811\) | −1.52060 | + | 1.10478i | −0.0533954 | + | 0.0387940i | −0.614163 | − | 0.789179i | \(-0.710506\pi\) |
0.560767 | + | 0.827973i | \(0.310506\pi\) | |||||||
\(812\) | −10.1162 | + | 2.87628i | −0.355009 | + | 0.100938i | ||||
\(813\) | 8.59164 | 0.301322 | ||||||||
\(814\) | −2.83038 | − | 0.326661i | −0.0992047 | − | 0.0114495i | ||||
\(815\) | 2.97854 | + | 5.15899i | 0.104334 | + | 0.180712i | ||||
\(816\) | −5.99349 | + | 1.27396i | −0.209814 | + | 0.0445974i | ||||
\(817\) | 0.736623 | + | 7.00850i | 0.0257712 | + | 0.245196i | ||||
\(818\) | −2.68108 | − | 1.94792i | −0.0937419 | − | 0.0681075i | ||||
\(819\) | 16.5373 | + | 2.36192i | 0.577859 | + | 0.0825322i | ||||
\(820\) | 0.500358 | + | 1.53994i | 0.0174732 | + | 0.0537771i | ||||
\(821\) | 5.51692 | − | 2.45629i | 0.192542 | − | 0.0857252i | −0.308201 | − | 0.951321i | \(-0.599727\pi\) |
0.500743 | + | 0.865596i | \(0.333060\pi\) | |||||||
\(822\) | 14.2186 | + | 6.33053i | 0.495930 | + | 0.220802i | ||||
\(823\) | 32.8459 | − | 6.98161i | 1.14494 | − | 0.243364i | 0.403883 | − | 0.914811i | \(-0.367660\pi\) |
0.741053 | + | 0.671447i | \(0.234327\pi\) | |||||||
\(824\) | 9.18852 | − | 15.9150i | 0.320097 | − | 0.554424i | ||||
\(825\) | −13.7775 | − | 8.14267i | −0.479673 | − | 0.283491i | ||||
\(826\) | 11.8130 | − | 0.799477i | 0.411027 | − | 0.0278173i | ||||
\(827\) | 6.20745 | − | 19.1046i | 0.215854 | − | 0.664331i | −0.783238 | − | 0.621723i | \(-0.786433\pi\) |
0.999092 | − | 0.0426086i | \(-0.0135669\pi\) | |||||||
\(828\) | 0.919500 | + | 8.74846i | 0.0319548 | + | 0.304030i | ||||
\(829\) | −0.208666 | + | 1.98533i | −0.00724728 | + | 0.0689533i | −0.997548 | − | 0.0699890i | \(-0.977704\pi\) |
0.990300 | + | 0.138942i | \(0.0443702\pi\) | |||||||
\(830\) | −3.28828 | + | 3.65200i | −0.114138 | + | 0.126763i | ||||
\(831\) | −0.915309 | − | 0.194555i | −0.0317517 | − | 0.00674904i | ||||
\(832\) | 5.10807 | + | 3.71123i | 0.177091 | + | 0.128664i | ||||
\(833\) | −41.1768 | − | 12.0070i | −1.42669 | − | 0.416019i | ||||
\(834\) | 1.73311 | − | 5.33395i | 0.0600125 | − | 0.184700i | ||||
\(835\) | 2.63230 | − | 4.55927i | 0.0910944 | − | 0.157780i | ||||
\(836\) | 10.7465 | − | 3.37116i | 0.371677 | − | 0.116594i | ||||
\(837\) | −1.04209 | − | 1.80495i | −0.0360199 | − | 0.0623883i | ||||
\(838\) | −1.52911 | − | 1.69825i | −0.0528223 | − | 0.0586651i | ||||
\(839\) | 7.01572 | − | 5.09722i | 0.242209 | − | 0.175975i | −0.460058 | − | 0.887889i | \(-0.652171\pi\) |
0.702267 | + | 0.711914i | \(0.252171\pi\) | |||||||
\(840\) | 0.936368 | + | 0.588026i | 0.0323078 | + | 0.0202888i | ||||
\(841\) | −4.07855 | − | 12.5525i | −0.140640 | − | 0.432845i | ||||
\(842\) | 23.0593 | + | 4.90141i | 0.794677 | + | 0.168914i | ||||
\(843\) | 1.06062 | − | 10.0911i | 0.0365296 | − | 0.347556i | ||||
\(844\) | 20.5394 | + | 9.14474i | 0.706996 | + | 0.314775i | ||||
\(845\) | 7.51267 | + | 8.34367i | 0.258444 | + | 0.287031i | ||||
\(846\) | −0.183913 | −0.00632305 | ||||||||
\(847\) | −29.0708 | + | 1.37334i | −0.998886 | + | 0.0471885i | ||||
\(848\) | 6.39709 | 0.219677 | ||||||||
\(849\) | 5.78221 | + | 6.42179i | 0.198445 | + | 0.220395i | ||||
\(850\) | 27.0106 | + | 12.0259i | 0.926456 | + | 0.412485i | ||||
\(851\) | 0.789902 | − | 7.51542i | 0.0270775 | − | 0.257625i | ||||
\(852\) | −3.04086 | − | 0.646354i | −0.104178 | − | 0.0221437i | ||||
\(853\) | −3.92934 | − | 12.0933i | −0.134538 | − | 0.414066i | 0.860980 | − | 0.508639i | \(-0.169851\pi\) |
−0.995518 | + | 0.0945733i | \(0.969851\pi\) | |||||||
\(854\) | 0.670526 | − | 18.0432i | 0.0229449 | − | 0.617427i | ||||
\(855\) | 1.14815 | − | 0.834177i | 0.0392658 | − | 0.0285283i | ||||
\(856\) | 11.6979 | + | 12.9918i | 0.399824 | + | 0.444050i | ||||
\(857\) | 1.40133 | + | 2.42717i | 0.0478684 | + | 0.0829104i | 0.888967 | − | 0.457972i | \(-0.151424\pi\) |
−0.841098 | + | 0.540882i | \(0.818091\pi\) | |||||||
\(858\) | −19.9809 | + | 6.26794i | −0.682136 | + | 0.213984i | ||||
\(859\) | 0.776539 | − | 1.34501i | 0.0264952 | − | 0.0458910i | −0.852474 | − | 0.522770i | \(-0.824899\pi\) |
0.878969 | + | 0.476879i | \(0.158232\pi\) | |||||||
\(860\) | 0.267994 | − | 0.824801i | 0.00913853 | − | 0.0281255i | ||||
\(861\) | −9.62480 | − | 3.52756i | −0.328012 | − | 0.120219i | ||||
\(862\) | −18.7848 | − | 13.6480i | −0.639813 | − | 0.464852i | ||||
\(863\) | −15.0353 | − | 3.19586i | −0.511808 | − | 0.108788i | −0.0552340 | − | 0.998473i | \(-0.517590\pi\) |
−0.456574 | + | 0.889685i | \(0.650924\pi\) | |||||||
\(864\) | −0.669131 | + | 0.743145i | −0.0227643 | + | 0.0252823i | ||||
\(865\) | 0.557766 | − | 5.30679i | 0.0189646 | − | 0.180436i | ||||
\(866\) | −1.84137 | − | 17.5195i | −0.0625725 | − | 0.595337i | ||||
\(867\) | −6.34871 | + | 19.5393i | −0.215614 | + | 0.663590i | ||||
\(868\) | 2.42836 | − | 4.95072i | 0.0824240 | − | 0.168039i | ||||
\(869\) | −38.2898 | − | 22.6297i | −1.29889 | − | 0.767660i | ||||
\(870\) | 0.830626 | − | 1.43869i | 0.0281609 | − | 0.0487760i | ||||
\(871\) | −71.3311 | + | 15.1619i | −2.41696 | + | 0.513741i | ||||
\(872\) | −18.4669 | − | 8.22200i | −0.625369 | − | 0.278432i | ||||
\(873\) | 6.97492 | − | 3.10544i | 0.236065 | − | 0.105103i | ||||
\(874\) | 9.23110 | + | 28.4104i | 0.312247 | + | 0.960996i | ||||
\(875\) | −4.04711 | − | 10.0819i | −0.136817 | − | 0.340829i | ||||
\(876\) | −3.22044 | − | 2.33978i | −0.108808 | − | 0.0790540i | ||||
\(877\) | 5.19471 | + | 49.4244i | 0.175413 | + | 1.66894i | 0.628753 | + | 0.777605i | \(0.283566\pi\) |
−0.453340 | + | 0.891338i | \(0.649768\pi\) | |||||||
\(878\) | 11.9403 | − | 2.53799i | 0.402966 | − | 0.0856530i | ||||
\(879\) | 2.45004 | + | 4.24360i | 0.0826379 | + | 0.143133i | ||||
\(880\) | −1.37692 | − | 0.158914i | −0.0464160 | − | 0.00535699i | ||||
\(881\) | 1.92884 | 0.0649844 | 0.0324922 | − | 0.999472i | \(-0.489656\pi\) | ||||
0.0324922 | + | 0.999472i | \(0.489656\pi\) | |||||||
\(882\) | −6.58850 | + | 2.36467i | −0.221846 | + | 0.0796225i | ||||
\(883\) | −9.11868 | + | 6.62511i | −0.306868 | + | 0.222953i | −0.730551 | − | 0.682858i | \(-0.760737\pi\) |
0.423683 | + | 0.905810i | \(0.360737\pi\) | |||||||
\(884\) | 35.3431 | − | 15.7358i | 1.18872 | − | 0.529251i | ||||
\(885\) | −1.25141 | + | 1.38983i | −0.0420657 | + | 0.0467187i | ||||
\(886\) | 21.3142 | − | 23.6718i | 0.716063 | − | 0.795269i | ||||
\(887\) | 18.3273 | − | 8.15985i | 0.615371 | − | 0.273981i | −0.0752875 | − | 0.997162i | \(-0.523987\pi\) |
0.690659 | + | 0.723181i | \(0.257321\pi\) | |||||||
\(888\) | 0.694991 | − | 0.504941i | 0.0233224 | − | 0.0169447i | ||||
\(889\) | 1.35395 | − | 5.37906i | 0.0454100 | − | 0.180408i | ||||
\(890\) | −4.02910 | −0.135056 | ||||||||
\(891\) | −0.656490 | − | 3.25100i | −0.0219933 | − | 0.108913i | ||||
\(892\) | −11.2429 | − | 19.4732i | −0.376439 | − | 0.652012i | ||||
\(893\) | −0.610900 | + | 0.129851i | −0.0204430 | + | 0.00434529i | ||||
\(894\) | 0.833380 | + | 7.92908i | 0.0278724 | + | 0.265188i | ||||
\(895\) | −4.10555 | − | 2.98286i | −0.137233 | − | 0.0997060i | ||||
\(896\) | −2.61917 | − | 0.374081i | −0.0875004 | − | 0.0124972i | ||||
\(897\) | −17.1632 | − | 52.8230i | −0.573064 | − | 1.76371i | ||||
\(898\) | 9.85927 | − | 4.38963i | 0.329008 | − | 0.146484i | ||||
\(899\) | −7.56859 | − | 3.36975i | −0.252426 | − | 0.112387i | ||||
\(900\) | 4.71990 | − | 1.00325i | 0.157330 | − | 0.0334415i | ||||
\(901\) | 19.5987 | − | 33.9460i | 0.652928 | − | 1.13090i | ||||
\(902\) | 12.7928 | − | 1.21299i | 0.425953 | − | 0.0403880i | ||||
\(903\) | 3.06001 | + | 4.55863i | 0.101831 | + | 0.151702i | ||||
\(904\) | 2.84712 | − | 8.76253i | 0.0946938 | − | 0.291438i | ||||
\(905\) | −0.603659 | − | 5.74343i | −0.0200663 | − | 0.190918i | ||||
\(906\) | −0.700915 | + | 6.66876i | −0.0232863 | + | 0.221555i | ||||
\(907\) | 18.0086 | − | 20.0006i | 0.597966 | − | 0.664108i | −0.365851 | − | 0.930673i | \(-0.619222\pi\) |
0.963817 | + | 0.266565i | \(0.0858887\pi\) | |||||||
\(908\) | 14.5537 | + | 3.09348i | 0.482981 | + | 0.102661i | ||||
\(909\) | −0.363298 | − | 0.263952i | −0.0120498 | − | 0.00875472i | ||||
\(910\) | −6.55489 | − | 2.40241i | −0.217292 | − | 0.0796393i | ||||
\(911\) | 4.76967 | − | 14.6795i | 0.158026 | − | 0.486354i | −0.840429 | − | 0.541922i | \(-0.817697\pi\) |
0.998455 | + | 0.0555676i | \(0.0176968\pi\) | |||||||
\(912\) | −1.69795 | + | 2.94093i | −0.0562246 | + | 0.0973838i | ||||
\(913\) | 22.6013 | + | 31.7837i | 0.747993 | + | 1.05189i | ||||
\(914\) | 16.0970 | + | 27.8809i | 0.532443 | + | 0.922218i | ||||
\(915\) | 1.90837 | + | 2.11946i | 0.0630887 | + | 0.0700671i | ||||
\(916\) | −10.4201 | + | 7.57062i | −0.344289 | + | 0.250140i | ||||
\(917\) | 51.3375 | − | 27.1494i | 1.69531 | − | 0.896553i | ||||
\(918\) | 1.89347 | + | 5.82749i | 0.0624937 | + | 0.192336i | ||||
\(919\) | 36.7724 | + | 7.81621i | 1.21301 | + | 0.257833i | 0.769624 | − | 0.638498i | \(-0.220444\pi\) |
0.443386 | + | 0.896331i | \(0.353777\pi\) | |||||||
\(920\) | 0.384271 | − | 3.65610i | 0.0126691 | − | 0.120538i | ||||
\(921\) | 18.6698 | + | 8.31231i | 0.615189 | + | 0.273900i | ||||
\(922\) | 19.5091 | + | 21.6670i | 0.642498 | + | 0.713566i | ||||
\(923\) | 19.6287 | 0.646086 | ||||||||
\(924\) | 6.17355 | − | 6.23597i | 0.203095 | − | 0.205148i | ||||
\(925\) | −4.14525 | −0.136295 | ||||||||
\(926\) | 2.00469 | + | 2.22643i | 0.0658782 | + | 0.0731652i | ||||
\(927\) | −16.7883 | − | 7.47461i | −0.551399 | − | 0.245498i | ||||
\(928\) | −0.415512 | + | 3.95334i | −0.0136399 | + | 0.129775i | ||||
\(929\) | 6.00094 | + | 1.27554i | 0.196885 | + | 0.0418491i | 0.305298 | − | 0.952257i | \(-0.401244\pi\) |
−0.108414 | + | 0.994106i | \(0.534577\pi\) | |||||||
\(930\) | 0.269156 | + | 0.828376i | 0.00882596 | + | 0.0271635i | ||||
\(931\) | −20.2153 | + | 12.5065i | −0.662531 | + | 0.409883i | ||||
\(932\) | 0.381410 | − | 0.277111i | 0.0124935 | − | 0.00907706i | ||||
\(933\) | −14.7206 | − | 16.3488i | −0.481930 | − | 0.535237i | ||||
\(934\) | 17.1576 | + | 29.7178i | 0.561413 | + | 0.972396i | ||||
\(935\) | −5.06174 | + | 6.81973i | −0.165536 | + | 0.223029i | ||||
\(936\) | 3.15696 | − | 5.46802i | 0.103189 | − | 0.178728i | ||||
\(937\) | 9.70401 | − | 29.8659i | 0.317016 | − | 0.975675i | −0.657901 | − | 0.753105i | \(-0.728555\pi\) |
0.974917 | − | 0.222570i | \(-0.0714447\pi\) | |||||||
\(938\) | 23.4526 | − | 19.5898i | 0.765756 | − | 0.639630i | ||||
\(939\) | 23.5103 | + | 17.0812i | 0.767228 | + | 0.557424i | ||||
\(940\) | 0.0751800 | + | 0.0159800i | 0.00245210 | + | 0.000521210i | ||||
\(941\) | −11.4338 | + | 12.6986i | −0.372733 | + | 0.413961i | −0.900105 | − | 0.435673i | \(-0.856511\pi\) |
0.527373 | + | 0.849634i | \(0.323177\pi\) | |||||||
\(942\) | 0.381073 | − | 3.62567i | 0.0124160 | − | 0.118131i | ||||
\(943\) | 3.56257 | + | 33.8956i | 0.116013 | + | 1.10379i | ||||
\(944\) | 1.38288 | − | 4.25608i | 0.0450090 | − | 0.138524i | ||||
\(945\) | 0.486928 | − | 0.992704i | 0.0158398 | − | 0.0322927i | ||||
\(946\) | −5.92516 | − | 3.50183i | −0.192644 | − | 0.113854i | ||||
\(947\) | −7.03433 | + | 12.1838i | −0.228585 | + | 0.395921i | −0.957389 | − | 0.288802i | \(-0.906743\pi\) |
0.728804 | + | 0.684722i | \(0.240077\pi\) | |||||||
\(948\) | 13.1173 | − | 2.78817i | 0.426030 | − | 0.0905556i | ||||
\(949\) | 22.9608 | + | 10.2228i | 0.745338 | + | 0.331846i | ||||
\(950\) | 14.9697 | − | 6.66493i | 0.485681 | − | 0.216239i | ||||
\(951\) | −7.18869 | − | 22.1245i | −0.233109 | − | 0.717436i | ||||
\(952\) | −10.0094 | + | 12.7525i | −0.324406 | + | 0.413311i | ||||
\(953\) | −28.0752 | − | 20.3979i | −0.909446 | − | 0.660751i | 0.0314284 | − | 0.999506i | \(-0.489994\pi\) |
−0.940875 | + | 0.338755i | \(0.889994\pi\) | |||||||
\(954\) | −0.668678 | − | 6.36204i | −0.0216492 | − | 0.205979i | ||||
\(955\) | −2.09638 | + | 0.445599i | −0.0678373 | + | 0.0144193i | ||||
\(956\) | 2.88573 | + | 4.99824i | 0.0933313 | + | 0.161655i | ||||
\(957\) | −9.70724 | − | 8.92111i | −0.313791 | − | 0.288379i | ||||
\(958\) | −15.2419 | −0.492445 | ||||||||
\(959\) | 39.6091 | − | 11.2618i | 1.27904 | − | 0.363663i | ||||
\(960\) | 0.338099 | − | 0.245643i | 0.0109121 | − | 0.00792810i | ||||
\(961\) | −24.3516 | + | 10.8421i | −0.785537 | + | 0.349744i | ||||
\(962\) | −3.62938 | + | 4.03083i | −0.117016 | + | 0.129959i | ||||
\(963\) | 11.6979 | − | 12.9918i | 0.376958 | − | 0.418654i | ||||
\(964\) | −0.359717 | + | 0.160156i | −0.0115857 | + | 0.00515829i | ||||
\(965\) | 5.99942 | − | 4.35883i | 0.193128 | − | 0.140316i | ||||
\(966\) | 16.7055 | + | 16.2047i | 0.537491 | + | 0.521379i | ||||
\(967\) | 29.1565 | 0.937608 | 0.468804 | − | 0.883302i | \(-0.344685\pi\) | ||||
0.468804 | + | 0.883302i | \(0.344685\pi\) | |||||||
\(968\) | −3.61156 | + | 10.3902i | −0.116080 | + | 0.333954i | ||||
\(969\) | 10.4040 | + | 18.0202i | 0.334224 | + | 0.578892i | ||||
\(970\) | −3.12104 | + | 0.663398i | −0.100211 | + | 0.0213004i | ||||
\(971\) | 0.0969529 | + | 0.922445i | 0.00311137 | + | 0.0296027i | 0.995967 | − | 0.0897156i | \(-0.0285958\pi\) |
−0.992856 | + | 0.119318i | \(0.961929\pi\) | |||||||
\(972\) | 0.809017 | + | 0.587785i | 0.0259492 | + | 0.0188532i | ||||
\(973\) | −5.52781 | − | 13.7705i | −0.177213 | − | 0.441461i | ||||
\(974\) | −0.485539 | − | 1.49433i | −0.0155577 | − | 0.0478816i | ||||
\(975\) | −27.8329 | + | 12.3920i | −0.891366 | + | 0.396862i | ||||
\(976\) | −6.23441 | − | 2.77574i | −0.199559 | − | 0.0888492i | ||||
\(977\) | 16.4072 | − | 3.48745i | 0.524912 | − | 0.111573i | 0.0621682 | − | 0.998066i | \(-0.480198\pi\) |
0.462743 | + | 0.886492i | \(0.346865\pi\) | |||||||
\(978\) | −7.12718 | + | 12.3446i | −0.227902 | + | 0.394738i | ||||
\(979\) | −6.96628 | + | 31.2075i | −0.222643 | + | 0.997397i | ||||
\(980\) | 2.89872 | − | 0.394162i | 0.0925961 | − | 0.0125911i | ||||
\(981\) | −6.24664 | + | 19.2252i | −0.199440 | + | 0.613813i | ||||
\(982\) | 2.05228 | + | 19.5261i | 0.0654908 | + | 0.623103i | ||||
\(983\) | 1.41130 | − | 13.4276i | 0.0450135 | − | 0.428275i | −0.948688 | − | 0.316214i | \(-0.897588\pi\) |
0.993701 | − | 0.112061i | \(-0.0357452\pi\) | |||||||
\(984\) | −2.59253 | + | 2.87929i | −0.0826467 | + | 0.0917884i | ||||
\(985\) | −3.33005 | − | 0.707825i | −0.106104 | − | 0.0225532i | ||||
\(986\) | 19.7053 | + | 14.3167i | 0.627544 | + | 0.455937i | ||||
\(987\) | −0.373447 | + | 0.311937i | −0.0118869 | + | 0.00992907i | ||||
\(988\) | 6.62576 | − | 20.3920i | 0.210793 | − | 0.648755i | ||||
\(989\) | 9.12734 | − | 15.8090i | 0.290233 | − | 0.502698i | ||||
\(990\) | −0.0141158 | + | 1.38599i | −0.000448631 | + | 0.0440496i | ||||
\(991\) | 17.6081 | + | 30.4981i | 0.559339 | + | 0.968804i | 0.997552 | + | 0.0699324i | \(0.0222784\pi\) |
−0.438213 | + | 0.898871i | \(0.644388\pi\) | |||||||
\(992\) | −1.39459 | − | 1.54885i | −0.0442782 | − | 0.0491759i | ||||
\(993\) | 28.0203 | − | 20.3580i | 0.889198 | − | 0.646040i | ||||
\(994\) | −7.27095 | + | 3.84518i | −0.230620 | + | 0.121962i | ||||
\(995\) | 2.27330 | + | 6.99650i | 0.0720685 | + | 0.221804i | ||||
\(996\) | −11.5021 | − | 2.44484i | −0.364457 | − | 0.0774677i | ||||
\(997\) | 5.87755 | − | 55.9212i | 0.186144 | − | 1.77104i | −0.359616 | − | 0.933100i | \(-0.617092\pi\) |
0.545760 | − | 0.837942i | \(-0.316241\pi\) | |||||||
\(998\) | 11.2143 | + | 4.99295i | 0.354984 | + | 0.158049i | ||||
\(999\) | −0.574821 | − | 0.638403i | −0.0181865 | − | 0.0201982i |
(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 | 462.2.y.d.163.3 | ✓ | 40 | |
7.4 | even | 3 | inner | 462.2.y.d.361.3 | yes | 40 | |
11.5 | even | 5 | inner | 462.2.y.d.247.3 | yes | 40 | |
77.60 | even | 15 | inner | 462.2.y.d.445.3 | yes | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
462.2.y.d.163.3 | ✓ | 40 | 1.1 | even | 1 | trivial | |
462.2.y.d.247.3 | yes | 40 | 11.5 | even | 5 | inner | |
462.2.y.d.361.3 | yes | 40 | 7.4 | even | 3 | inner | |
462.2.y.d.445.3 | yes | 40 | 77.60 | even | 15 | inner |