Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [224,2,Mod(3,224)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(224, base_ring=CyclotomicField(24))
chi = DirichletCharacter(H, H._module([12, 9, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("224.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 224 = 2^{5} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 224.be (of order \(24\), 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: | \(1.78864900528\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(30\) over \(\Q(\zeta_{24})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{24}]$ |
Embedding invariants
Embedding label | 3.17 | ||
Character | \(\chi\) | \(=\) | 224.3 |
Dual form | 224.2.be.a.75.17 |
$q$-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 \(\left(\mathbb{Z}/224\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(129\) | \(197\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{3}{8}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.316867 | + | 1.37826i | 0.224059 | + | 0.974576i | ||||
\(3\) | −1.12518 | + | 0.863381i | −0.649623 | + | 0.498473i | −0.880214 | − | 0.474578i | \(-0.842601\pi\) |
0.230591 | + | 0.973051i | \(0.425934\pi\) | |||||||
\(4\) | −1.79919 | + | 0.873450i | −0.899595 | + | 0.436725i | ||||
\(5\) | 2.90549 | + | 2.22946i | 1.29937 | + | 0.997044i | 0.999066 | + | 0.0432019i | \(0.0137559\pi\) |
0.300307 | + | 0.953843i | \(0.402911\pi\) | |||||||
\(6\) | −1.54649 | − | 1.27721i | −0.631353 | − | 0.521419i | ||||
\(7\) | 2.61828 | − | 0.380261i | 0.989618 | − | 0.143725i | ||||
\(8\) | −1.77394 | − | 2.20298i | −0.627184 | − | 0.778871i | ||||
\(9\) | −0.255854 | + | 0.954861i | −0.0852848 | + | 0.318287i | ||||
\(10\) | −2.15212 | + | 4.71095i | −0.680559 | + | 1.48973i | ||||
\(11\) | −3.26101 | − | 0.429321i | −0.983232 | − | 0.129445i | −0.378267 | − | 0.925697i | \(-0.623480\pi\) |
−0.604966 | + | 0.796252i | \(0.706813\pi\) | |||||||
\(12\) | 1.27029 | − | 2.53617i | 0.366702 | − | 0.732130i | ||||
\(13\) | −1.45481 | − | 0.602601i | −0.403491 | − | 0.167132i | 0.171702 | − | 0.985149i | \(-0.445073\pi\) |
−0.575194 | + | 0.818017i | \(0.695073\pi\) | |||||||
\(14\) | 1.35375 | + | 3.48818i | 0.361804 | + | 0.932254i | ||||
\(15\) | −5.19407 | −1.34110 | ||||||||
\(16\) | 2.47417 | − | 3.14300i | 0.618543 | − | 0.785751i | ||||
\(17\) | 1.24904 | − | 2.16340i | 0.302936 | − | 0.524701i | −0.673864 | − | 0.738856i | \(-0.735366\pi\) |
0.976800 | + | 0.214155i | \(0.0686998\pi\) | |||||||
\(18\) | −1.39712 | − | 0.0500689i | −0.329304 | − | 0.0118014i | ||||
\(19\) | −4.35489 | + | 0.573333i | −0.999081 | + | 0.131532i | −0.612288 | − | 0.790635i | \(-0.709751\pi\) |
−0.386793 | + | 0.922166i | \(0.626417\pi\) | |||||||
\(20\) | −7.17485 | − | 1.47342i | −1.60434 | − | 0.329468i | ||||
\(21\) | −2.61773 | + | 2.68844i | −0.571235 | + | 0.586665i | ||||
\(22\) | −0.441594 | − | 4.63055i | −0.0941481 | − | 0.987238i | ||||
\(23\) | 4.05473 | + | 1.08646i | 0.845470 | + | 0.226543i | 0.655451 | − | 0.755237i | \(-0.272478\pi\) |
0.190019 | + | 0.981780i | \(0.439145\pi\) | |||||||
\(24\) | 3.89802 | + | 0.947160i | 0.795679 | + | 0.193338i | ||||
\(25\) | 2.17728 | + | 8.12570i | 0.435455 | + | 1.62514i | ||||
\(26\) | 0.369559 | − | 2.19605i | 0.0724765 | − | 0.430680i | ||||
\(27\) | −2.16476 | − | 5.22619i | −0.416608 | − | 1.00578i | ||||
\(28\) | −4.37865 | + | 2.97110i | −0.827487 | + | 0.561485i | ||||
\(29\) | 9.17665 | + | 3.80109i | 1.70406 | + | 0.705845i | 0.999991 | − | 0.00428413i | \(-0.00136369\pi\) |
0.704071 | + | 0.710130i | \(0.251364\pi\) | |||||||
\(30\) | −1.64583 | − | 7.15876i | −0.300486 | − | 1.30701i | ||||
\(31\) | 3.28960 | − | 5.69775i | 0.590830 | − | 1.02335i | −0.403291 | − | 0.915072i | \(-0.632134\pi\) |
0.994121 | − | 0.108275i | \(-0.0345328\pi\) | |||||||
\(32\) | 5.11586 | + | 2.41413i | 0.904364 | + | 0.426762i | ||||
\(33\) | 4.03989 | − | 2.33243i | 0.703255 | − | 0.406024i | ||||
\(34\) | 3.37750 | + | 1.03599i | 0.579236 | + | 0.177670i | ||||
\(35\) | 8.45516 | + | 4.73251i | 1.42918 | + | 0.799940i | ||||
\(36\) | −0.373693 | − | 1.94145i | −0.0622821 | − | 0.323575i | ||||
\(37\) | −2.37213 | + | 3.09142i | −0.389976 | + | 0.508227i | −0.946544 | − | 0.322575i | \(-0.895451\pi\) |
0.556567 | + | 0.830802i | \(0.312118\pi\) | |||||||
\(38\) | −2.17012 | − | 5.82050i | −0.352041 | − | 0.944209i | ||||
\(39\) | 2.15719 | − | 0.578019i | 0.345428 | − | 0.0925570i | ||||
\(40\) | −0.242716 | − | 10.3557i | −0.0383768 | − | 1.63737i | ||||
\(41\) | 2.12291 | − | 2.12291i | 0.331542 | − | 0.331542i | −0.521630 | − | 0.853172i | \(-0.674676\pi\) |
0.853172 | + | 0.521630i | \(0.174676\pi\) | |||||||
\(42\) | −4.53483 | − | 2.75603i | −0.699739 | − | 0.425264i | ||||
\(43\) | 0.446613 | + | 1.07822i | 0.0681078 | + | 0.164427i | 0.954268 | − | 0.298952i | \(-0.0966370\pi\) |
−0.886160 | + | 0.463379i | \(0.846637\pi\) | |||||||
\(44\) | 6.24217 | − | 2.07590i | 0.941043 | − | 0.312954i | ||||
\(45\) | −2.87221 | + | 2.20392i | −0.428163 | + | 0.328541i | ||||
\(46\) | −0.212613 | + | 5.93273i | −0.0313481 | + | 0.874734i | ||||
\(47\) | −4.41717 | + | 2.55026i | −0.644311 | + | 0.371993i | −0.786273 | − | 0.617879i | \(-0.787992\pi\) |
0.141962 | + | 0.989872i | \(0.454659\pi\) | |||||||
\(48\) | −0.0702775 | + | 5.67260i | −0.0101437 | + | 0.818769i | ||||
\(49\) | 6.71080 | − | 1.99126i | 0.958686 | − | 0.284466i | ||||
\(50\) | −10.5094 | + | 5.57562i | −1.48625 | + | 0.788511i | ||||
\(51\) | 0.462443 | + | 3.51260i | 0.0647550 | + | 0.491863i | ||||
\(52\) | 3.14382 | − | 0.186507i | 0.435969 | − | 0.0258639i | ||||
\(53\) | 1.24122 | − | 9.42797i | 0.170494 | − | 1.29503i | −0.665543 | − | 0.746359i | \(-0.731800\pi\) |
0.836038 | − | 0.548672i | \(-0.184867\pi\) | |||||||
\(54\) | 6.51709 | − | 4.63960i | 0.886864 | − | 0.631370i | ||||
\(55\) | −8.51768 | − | 8.51768i | −1.14852 | − | 1.14852i | ||||
\(56\) | −5.48239 | − | 5.09346i | −0.732615 | − | 0.680643i | ||||
\(57\) | 4.40503 | − | 4.40503i | 0.583461 | − | 0.583461i | ||||
\(58\) | −2.33111 | + | 13.8522i | −0.306089 | + | 1.81889i | ||||
\(59\) | 8.32288 | + | 1.09573i | 1.08355 | + | 0.142652i | 0.651088 | − | 0.759002i | \(-0.274313\pi\) |
0.432458 | + | 0.901654i | \(0.357646\pi\) | |||||||
\(60\) | 9.34511 | − | 4.53676i | 1.20645 | − | 0.585693i | ||||
\(61\) | −12.0822 | + | 1.59065i | −1.54696 | + | 0.203662i | −0.855137 | − | 0.518402i | \(-0.826527\pi\) |
−0.691827 | + | 0.722063i | \(0.743194\pi\) | |||||||
\(62\) | 8.89534 | + | 2.72849i | 1.12971 | + | 0.346518i | ||||
\(63\) | −0.306802 | + | 2.59739i | −0.0386535 | + | 0.327240i | ||||
\(64\) | −1.70625 | + | 7.81593i | −0.213281 | + | 0.976991i | ||||
\(65\) | −2.88345 | − | 4.99429i | −0.357648 | − | 0.619465i | ||||
\(66\) | 4.49480 | + | 4.82894i | 0.553272 | + | 0.594402i | ||||
\(67\) | 8.27818 | + | 10.7883i | 1.01134 | + | 1.31801i | 0.947400 | + | 0.320052i | \(0.103700\pi\) |
0.0639411 | + | 0.997954i | \(0.479633\pi\) | |||||||
\(68\) | −0.357638 | + | 4.98333i | −0.0433700 | + | 0.604318i | ||||
\(69\) | −5.50033 | + | 2.27831i | −0.662162 | + | 0.274277i | ||||
\(70\) | −3.84346 | + | 13.1530i | −0.459381 | + | 1.57208i | ||||
\(71\) | −2.24719 | − | 2.24719i | −0.266692 | − | 0.266692i | 0.561074 | − | 0.827766i | \(-0.310388\pi\) |
−0.827766 | + | 0.561074i | \(0.810388\pi\) | |||||||
\(72\) | 2.55741 | − | 1.13023i | 0.301394 | − | 0.133199i | ||||
\(73\) | 0.551062 | + | 2.05659i | 0.0644969 | + | 0.240706i | 0.990647 | − | 0.136449i | \(-0.0435690\pi\) |
−0.926150 | + | 0.377155i | \(0.876902\pi\) | |||||||
\(74\) | −5.01243 | − | 2.28984i | −0.582683 | − | 0.266189i | ||||
\(75\) | −9.46540 | − | 7.26306i | −1.09297 | − | 0.838666i | ||||
\(76\) | 7.33451 | − | 4.83532i | 0.841326 | − | 0.554649i | ||||
\(77\) | −8.70151 | + | 0.115953i | −0.991629 | + | 0.0132141i | ||||
\(78\) | 1.48020 | + | 2.79002i | 0.167600 | + | 0.315907i | ||||
\(79\) | −3.82876 | − | 6.63161i | −0.430769 | − | 0.746114i | 0.566170 | − | 0.824288i | \(-0.308424\pi\) |
−0.996940 | + | 0.0781739i | \(0.975091\pi\) | |||||||
\(80\) | 14.1959 | − | 3.61590i | 1.58715 | − | 0.404270i | ||||
\(81\) | 4.37961 | + | 2.52857i | 0.486624 | + | 0.280952i | ||||
\(82\) | 3.59859 | + | 2.25323i | 0.397398 | + | 0.248828i | ||||
\(83\) | 1.06305 | − | 2.56643i | 0.116685 | − | 0.281702i | −0.854737 | − | 0.519061i | \(-0.826282\pi\) |
0.971422 | + | 0.237359i | \(0.0762818\pi\) | |||||||
\(84\) | 2.36158 | − | 7.12346i | 0.257669 | − | 0.777233i | ||||
\(85\) | 8.45227 | − | 3.50104i | 0.916777 | − | 0.379742i | ||||
\(86\) | −1.34455 | + | 0.957200i | −0.144986 | + | 0.103218i | ||||
\(87\) | −13.6072 | + | 3.64603i | −1.45884 | + | 0.390896i | ||||
\(88\) | 4.83907 | + | 7.94554i | 0.515846 | + | 0.846997i | ||||
\(89\) | 2.96264 | − | 11.0567i | 0.314039 | − | 1.17201i | −0.610841 | − | 0.791753i | \(-0.709169\pi\) |
0.924881 | − | 0.380257i | \(-0.124165\pi\) | |||||||
\(90\) | −3.94768 | − | 3.26029i | −0.416122 | − | 0.343665i | ||||
\(91\) | −4.03824 | − | 1.02457i | −0.423323 | − | 0.107405i | ||||
\(92\) | −8.24421 | + | 1.58685i | −0.859518 | + | 0.165441i | ||||
\(93\) | 1.21794 | + | 9.25117i | 0.126294 | + | 0.959302i | ||||
\(94\) | −4.91457 | − | 5.27991i | −0.506899 | − | 0.544581i | ||||
\(95\) | −13.9313 | − | 8.04325i | −1.42932 | − | 0.825220i | ||||
\(96\) | −7.84057 | + | 1.70060i | −0.800225 | + | 0.173567i | ||||
\(97\) | − | 7.62211i | − | 0.773908i | −0.922099 | − | 0.386954i | \(-0.873527\pi\) | ||
0.922099 | − | 0.386954i | \(-0.126473\pi\) | |||||||
\(98\) | 4.87090 | + | 8.61825i | 0.492036 | + | 0.870575i | ||||
\(99\) | 1.24429 | − | 3.00397i | 0.125055 | − | 0.301910i | ||||
\(100\) | −11.0147 | − | 12.7179i | −1.10147 | − | 1.27179i | ||||
\(101\) | 0.916649 | − | 6.96264i | 0.0912100 | − | 0.692809i | −0.883355 | − | 0.468704i | \(-0.844721\pi\) |
0.974565 | − | 0.224104i | \(-0.0719456\pi\) | |||||||
\(102\) | −4.69474 | + | 1.75040i | −0.464849 | + | 0.173315i | ||||
\(103\) | 3.03103 | + | 0.812162i | 0.298656 | + | 0.0800247i | 0.405036 | − | 0.914301i | \(-0.367259\pi\) |
−0.106379 | + | 0.994326i | \(0.533926\pi\) | |||||||
\(104\) | 1.25323 | + | 4.27389i | 0.122889 | + | 0.419090i | ||||
\(105\) | −13.5995 | + | 1.97510i | −1.32718 | + | 0.192750i | ||||
\(106\) | 13.3875 | − | 1.27670i | 1.30031 | − | 0.124004i | ||||
\(107\) | −6.14053 | + | 8.00249i | −0.593627 | + | 0.773630i | −0.989478 | − | 0.144685i | \(-0.953783\pi\) |
0.395851 | + | 0.918315i | \(0.370450\pi\) | |||||||
\(108\) | 8.45962 | + | 7.51210i | 0.814028 | + | 0.722852i | ||||
\(109\) | 6.34898 | + | 8.27415i | 0.608122 | + | 0.792520i | 0.991366 | − | 0.131127i | \(-0.0418596\pi\) |
−0.383243 | + | 0.923647i | \(0.625193\pi\) | |||||||
\(110\) | 9.04059 | − | 14.4385i | 0.861986 | − | 1.37666i | ||||
\(111\) | − | 5.52646i | − | 0.524548i | ||||||
\(112\) | 5.28292 | − | 9.17010i | 0.499189 | − | 0.866493i | ||||
\(113\) | − | 8.29171i | − | 0.780019i | −0.920811 | − | 0.390009i | \(-0.872472\pi\) | ||
0.920811 | − | 0.390009i | \(-0.127528\pi\) | |||||||
\(114\) | 7.46708 | + | 4.67546i | 0.699356 | + | 0.437897i | ||||
\(115\) | 9.35875 | + | 12.1966i | 0.872708 | + | 1.13734i | ||||
\(116\) | −19.8306 | + | 1.17645i | −1.84123 | + | 0.109231i | ||||
\(117\) | 0.947619 | − | 1.23496i | 0.0876075 | − | 0.114172i | ||||
\(118\) | 1.12705 | + | 11.8183i | 0.103754 | + | 1.08796i | ||||
\(119\) | 2.44768 | − | 6.13934i | 0.224378 | − | 0.562793i | ||||
\(120\) | 9.21398 | + | 11.4424i | 0.841118 | + | 1.04455i | ||||
\(121\) | −0.175295 | − | 0.0469701i | −0.0159359 | − | 0.00427001i | ||||
\(122\) | −6.02077 | − | 16.1483i | −0.545095 | − | 1.46200i | ||||
\(123\) | −0.555774 | + | 4.22153i | −0.0501125 | + | 0.380642i | ||||
\(124\) | −0.941914 | + | 13.1246i | −0.0845864 | + | 1.17863i | ||||
\(125\) | −4.78239 | + | 11.5457i | −0.427750 | + | 1.03268i | ||||
\(126\) | −3.67709 | + | 0.400174i | −0.327581 | + | 0.0356503i | ||||
\(127\) | 12.5179i | 1.11078i | 0.831588 | + | 0.555392i | \(0.187432\pi\) | ||||
−0.831588 | + | 0.555392i | \(0.812568\pi\) | |||||||
\(128\) | −11.3130 | + | 0.124962i | −0.999939 | + | 0.0110452i | ||||
\(129\) | −1.43343 | − | 0.827593i | −0.126207 | − | 0.0728655i | ||||
\(130\) | 5.96974 | − | 5.55667i | 0.523581 | − | 0.487352i | ||||
\(131\) | −1.24144 | − | 9.42970i | −0.108465 | − | 0.823877i | −0.956047 | − | 0.293212i | \(-0.905276\pi\) |
0.847582 | − | 0.530665i | \(-0.178058\pi\) | |||||||
\(132\) | −5.23127 | + | 7.72513i | −0.455324 | + | 0.672386i | ||||
\(133\) | −11.1843 | + | 3.15714i | −0.969804 | + | 0.273759i | ||||
\(134\) | −12.2460 | + | 14.8279i | −1.05790 | + | 1.28094i | ||||
\(135\) | 5.36189 | − | 20.0109i | 0.461478 | − | 1.72226i | ||||
\(136\) | −6.98164 | + | 1.08614i | −0.598671 | + | 0.0931355i | ||||
\(137\) | −9.04483 | + | 2.42356i | −0.772752 | + | 0.207058i | −0.623587 | − | 0.781754i | \(-0.714325\pi\) |
−0.149165 | + | 0.988812i | \(0.547659\pi\) | |||||||
\(138\) | −4.88298 | − | 6.85896i | −0.415667 | − | 0.583873i | ||||
\(139\) | −7.46711 | + | 3.09298i | −0.633352 | + | 0.262343i | −0.676177 | − | 0.736740i | \(-0.736364\pi\) |
0.0428244 | + | 0.999083i | \(0.486364\pi\) | |||||||
\(140\) | −19.3461 | − | 1.12953i | −1.63504 | − | 0.0954624i | ||||
\(141\) | 2.76827 | − | 6.68320i | 0.233130 | − | 0.562827i | ||||
\(142\) | 2.38514 | − | 3.80927i | 0.200157 | − | 0.319666i | ||||
\(143\) | 4.48544 | + | 2.58967i | 0.375091 | + | 0.216559i | ||||
\(144\) | 2.36811 | + | 3.16664i | 0.197342 | + | 0.263887i | ||||
\(145\) | 18.1883 | + | 31.5030i | 1.51045 | + | 2.61618i | ||||
\(146\) | −2.65990 | + | 1.41117i | −0.220135 | + | 0.116789i | ||||
\(147\) | −5.83164 | + | 8.03450i | −0.480986 | + | 0.662675i | ||||
\(148\) | 1.56772 | − | 7.63400i | 0.128865 | − | 0.627511i | ||||
\(149\) | −12.4150 | − | 9.52637i | −1.01708 | − | 0.780430i | −0.0412882 | − | 0.999147i | \(-0.513146\pi\) |
−0.975788 | + | 0.218717i | \(0.929813\pi\) | |||||||
\(150\) | 7.01109 | − | 15.3472i | 0.572453 | − | 1.25309i | ||||
\(151\) | 0.921075 | + | 3.43750i | 0.0749560 | + | 0.279740i | 0.993223 | − | 0.116221i | \(-0.0370782\pi\) |
−0.918267 | + | 0.395961i | \(0.870412\pi\) | |||||||
\(152\) | 8.98838 | + | 8.57669i | 0.729054 | + | 0.695661i | ||||
\(153\) | 1.74617 | + | 1.74617i | 0.141170 | + | 0.141170i | ||||
\(154\) | −2.91704 | − | 11.9562i | −0.235061 | − | 0.963456i | ||||
\(155\) | 22.2608 | − | 9.22073i | 1.78803 | − | 0.740627i | ||||
\(156\) | −3.37633 | + | 2.92417i | −0.270323 | + | 0.234121i | ||||
\(157\) | −11.9006 | − | 15.5091i | −0.949770 | − | 1.23776i | −0.971266 | − | 0.237995i | \(-0.923510\pi\) |
0.0214969 | − | 0.999769i | \(-0.493157\pi\) | |||||||
\(158\) | 7.92686 | − | 7.37836i | 0.630627 | − | 0.586991i | ||||
\(159\) | 6.74334 | + | 11.6798i | 0.534781 | + | 0.926268i | ||||
\(160\) | 9.48185 | + | 18.4198i | 0.749606 | + | 1.45621i | ||||
\(161\) | 11.0296 | + | 1.30281i | 0.869252 | + | 0.102676i | ||||
\(162\) | −2.09727 | + | 6.83746i | −0.164777 | + | 0.537202i | ||||
\(163\) | −5.64738 | + | 0.743492i | −0.442337 | + | 0.0582348i | −0.348406 | − | 0.937344i | \(-0.613277\pi\) |
−0.0939315 | + | 0.995579i | \(0.529943\pi\) | |||||||
\(164\) | −1.96526 | + | 5.67376i | −0.153461 | + | 0.443046i | ||||
\(165\) | 16.9379 | + | 2.22992i | 1.31862 | + | 0.173599i | ||||
\(166\) | 3.87404 | + | 0.651939i | 0.300684 | + | 0.0506003i | ||||
\(167\) | −3.82201 | + | 3.82201i | −0.295756 | + | 0.295756i | −0.839349 | − | 0.543593i | \(-0.817063\pi\) |
0.543593 | + | 0.839349i | \(0.317063\pi\) | |||||||
\(168\) | 10.5663 | + | 0.997670i | 0.815206 | + | 0.0769719i | ||||
\(169\) | −7.43905 | − | 7.43905i | −0.572235 | − | 0.572235i | ||||
\(170\) | 7.50359 | + | 10.5400i | 0.575499 | + | 0.808384i | ||||
\(171\) | 0.566765 | − | 4.30501i | 0.0433416 | − | 0.329212i | ||||
\(172\) | −1.74531 | − | 1.54983i | −0.133079 | − | 0.118173i | ||||
\(173\) | 3.00293 | + | 22.8096i | 0.228309 | + | 1.73418i | 0.594903 | + | 0.803797i | \(0.297190\pi\) |
−0.366594 | + | 0.930381i | \(0.619476\pi\) | |||||||
\(174\) | −9.33684 | − | 17.5989i | −0.707824 | − | 1.33417i | ||||
\(175\) | 8.79061 | + | 20.4475i | 0.664508 | + | 1.54568i | ||||
\(176\) | −9.41766 | + | 9.18717i | −0.709883 | + | 0.692509i | ||||
\(177\) | −10.3108 | + | 5.95292i | −0.775004 | + | 0.447449i | ||||
\(178\) | 16.1778 | + | 0.579768i | 1.21258 | + | 0.0434555i | ||||
\(179\) | 14.0257 | − | 10.7623i | 1.04833 | − | 0.804410i | 0.0671939 | − | 0.997740i | \(-0.478595\pi\) |
0.981134 | + | 0.193330i | \(0.0619287\pi\) | |||||||
\(180\) | 3.24263 | − | 6.47400i | 0.241691 | − | 0.482543i | ||||
\(181\) | −8.95850 | − | 21.6277i | −0.665880 | − | 1.60758i | −0.788437 | − | 0.615116i | \(-0.789109\pi\) |
0.122557 | − | 0.992462i | \(-0.460891\pi\) | |||||||
\(182\) | 0.132539 | − | 5.89040i | 0.00982448 | − | 0.436625i | ||||
\(183\) | 12.2213 | − | 12.2213i | 0.903423 | − | 0.903423i | ||||
\(184\) | −4.79941 | − | 10.8598i | −0.353817 | − | 0.800597i | ||||
\(185\) | −13.7844 | + | 3.69352i | −1.01345 | + | 0.271553i | ||||
\(186\) | −12.3646 | + | 4.61003i | −0.906615 | + | 0.338024i | ||||
\(187\) | −5.00192 | + | 6.51863i | −0.365776 | + | 0.476689i | ||||
\(188\) | 5.71981 | − | 8.44657i | 0.417160 | − | 0.616030i | ||||
\(189\) | −7.65526 | − | 12.8605i | −0.556838 | − | 0.935461i | ||||
\(190\) | 6.67129 | − | 21.7496i | 0.483986 | − | 1.57788i | ||||
\(191\) | 17.2607 | − | 9.96545i | 1.24894 | − | 0.721075i | 0.278040 | − | 0.960569i | \(-0.410315\pi\) |
0.970898 | + | 0.239495i | \(0.0769818\pi\) | |||||||
\(192\) | −4.82828 | − | 10.2675i | −0.348451 | − | 0.740990i | ||||
\(193\) | −9.32589 | + | 16.1529i | −0.671292 | + | 1.16271i | 0.306245 | + | 0.951953i | \(0.400927\pi\) |
−0.977538 | + | 0.210760i | \(0.932406\pi\) | |||||||
\(194\) | 10.5052 | − | 2.41520i | 0.754232 | − | 0.173401i | ||||
\(195\) | 7.55637 | + | 3.12995i | 0.541123 | + | 0.224140i | ||||
\(196\) | −10.3347 | + | 9.44421i | −0.738196 | + | 0.674586i | ||||
\(197\) | −4.82797 | − | 11.6557i | −0.343978 | − | 0.830437i | −0.997305 | − | 0.0733615i | \(-0.976627\pi\) |
0.653327 | − | 0.757076i | \(-0.273373\pi\) | |||||||
\(198\) | 4.53452 | + | 0.763086i | 0.322254 | + | 0.0542302i | ||||
\(199\) | 3.15982 | + | 11.7926i | 0.223994 | + | 0.835957i | 0.982805 | + | 0.184646i | \(0.0591139\pi\) |
−0.758811 | + | 0.651311i | \(0.774219\pi\) | |||||||
\(200\) | 14.0384 | − | 19.2110i | 0.992665 | − | 1.35843i | ||||
\(201\) | −18.6289 | − | 4.99159i | −1.31398 | − | 0.352080i | ||||
\(202\) | 9.88677 | − | 0.942854i | 0.695631 | − | 0.0663390i | ||||
\(203\) | 25.4725 | + | 6.46282i | 1.78782 | + | 0.453601i | ||||
\(204\) | −3.90011 | − | 5.91592i | −0.273062 | − | 0.414197i | ||||
\(205\) | 10.9010 | − | 1.43514i | 0.761359 | − | 0.100235i | ||||
\(206\) | −0.158935 | + | 4.43489i | −0.0110735 | + | 0.308993i | ||||
\(207\) | −2.07484 | + | 3.59373i | −0.144211 | + | 0.249782i | ||||
\(208\) | −5.49342 | + | 3.08153i | −0.380900 | + | 0.213666i | ||||
\(209\) | 14.4475 | 0.999355 | ||||||||
\(210\) | −7.03144 | − | 18.1178i | −0.485216 | − | 1.25025i | ||||
\(211\) | −6.56331 | − | 2.71861i | −0.451837 | − | 0.187157i | 0.145147 | − | 0.989410i | \(-0.453634\pi\) |
−0.596984 | + | 0.802253i | \(0.703634\pi\) | |||||||
\(212\) | 6.00168 | + | 18.0469i | 0.412197 | + | 1.23946i | ||||
\(213\) | 4.46867 | + | 0.588311i | 0.306188 | + | 0.0403104i | ||||
\(214\) | −12.9752 | − | 5.92750i | −0.886968 | − | 0.405196i | ||||
\(215\) | −1.10622 | + | 4.12846i | −0.0754434 | + | 0.281558i | ||||
\(216\) | −7.67303 | + | 14.0399i | −0.522084 | + | 0.955293i | ||||
\(217\) | 6.44647 | − | 16.1692i | 0.437615 | − | 1.09764i | ||||
\(218\) | −9.39213 | + | 11.3723i | −0.636116 | + | 0.770232i | ||||
\(219\) | −2.39567 | − | 1.83826i | −0.161884 | − | 0.124218i | ||||
\(220\) | 22.7647 | + | 7.88516i | 1.53480 | + | 0.531618i | ||||
\(221\) | −3.12078 | + | 2.39466i | −0.209926 | + | 0.161082i | ||||
\(222\) | 7.61689 | − | 1.75115i | 0.511212 | − | 0.117530i | ||||
\(223\) | −9.37547 | −0.627828 | −0.313914 | − | 0.949451i | \(-0.601640\pi\) | ||||
−0.313914 | + | 0.949451i | \(0.601640\pi\) | |||||||
\(224\) | 14.3128 | + | 4.37552i | 0.956311 | + | 0.292352i | ||||
\(225\) | −8.31598 | −0.554399 | ||||||||
\(226\) | 11.4281 | − | 2.62737i | 0.760187 | − | 0.174770i | ||||
\(227\) | −2.46357 | + | 1.89036i | −0.163513 | + | 0.125468i | −0.687277 | − | 0.726396i | \(-0.741194\pi\) |
0.523764 | + | 0.851863i | \(0.324527\pi\) | |||||||
\(228\) | −4.07792 | + | 11.7731i | −0.270067 | + | 0.779690i | ||||
\(229\) | 2.56561 | + | 1.96866i | 0.169540 | + | 0.130093i | 0.690046 | − | 0.723765i | \(-0.257590\pi\) |
−0.520506 | + | 0.853858i | \(0.674257\pi\) | |||||||
\(230\) | −13.8445 | + | 16.7635i | −0.912881 | + | 1.10535i | ||||
\(231\) | 9.69064 | − | 7.64318i | 0.637598 | − | 0.502884i | ||||
\(232\) | −7.90513 | − | 26.9589i | −0.518997 | − | 1.76994i | ||||
\(233\) | −1.84927 | + | 6.90156i | −0.121150 | + | 0.452136i | −0.999673 | − | 0.0255626i | \(-0.991862\pi\) |
0.878524 | + | 0.477699i | \(0.158529\pi\) | |||||||
\(234\) | 2.00237 | + | 0.914745i | 0.130899 | + | 0.0597988i | ||||
\(235\) | −18.5197 | − | 2.43817i | −1.20809 | − | 0.159049i | ||||
\(236\) | −15.9315 | + | 5.29819i | −1.03705 | + | 0.344883i | ||||
\(237\) | 10.0336 | + | 4.15607i | 0.651755 | + | 0.269966i | ||||
\(238\) | 9.23719 | + | 1.42817i | 0.598758 | + | 0.0925748i | ||||
\(239\) | −8.27613 | −0.535338 | −0.267669 | − | 0.963511i | \(-0.586253\pi\) | ||||
−0.267669 | + | 0.963511i | \(0.586253\pi\) | |||||||
\(240\) | −12.8510 | + | 16.3250i | −0.829529 | + | 1.05377i | ||||
\(241\) | 9.18747 | − | 15.9132i | 0.591817 | − | 1.02506i | −0.402171 | − | 0.915565i | \(-0.631744\pi\) |
0.993988 | − | 0.109492i | \(-0.0349225\pi\) | |||||||
\(242\) | 0.00919172 | − | 0.256485i | 0.000590866 | − | 0.0164874i | ||||
\(243\) | 9.71420 | − | 1.27890i | 0.623166 | − | 0.0820414i | ||||
\(244\) | 20.3488 | − | 13.4151i | 1.30270 | − | 0.858811i | ||||
\(245\) | 23.9376 | + | 9.17588i | 1.52932 | + | 0.586225i | ||||
\(246\) | −5.99446 | + | 0.571663i | −0.382193 | + | 0.0364479i | ||||
\(247\) | 6.68103 | + | 1.79018i | 0.425104 | + | 0.113906i | ||||
\(248\) | −18.3876 | + | 2.86057i | −1.16761 | + | 0.181646i | ||||
\(249\) | 1.01968 | + | 3.80551i | 0.0646198 | + | 0.241164i | ||||
\(250\) | −17.4284 | − | 2.93291i | −1.10227 | − | 0.185494i | ||||
\(251\) | −3.35112 | − | 8.09033i | −0.211521 | − | 0.510657i | 0.782136 | − | 0.623107i | \(-0.214130\pi\) |
−0.993657 | + | 0.112450i | \(0.964130\pi\) | |||||||
\(252\) | −1.71669 | − | 4.94117i | −0.108141 | − | 0.311265i | ||||
\(253\) | −12.7561 | − | 5.28375i | −0.801969 | − | 0.332186i | ||||
\(254\) | −17.2529 | + | 3.96652i | −1.08254 | + | 0.248881i | ||||
\(255\) | −6.48758 | + | 11.2368i | −0.406268 | + | 0.703677i | ||||
\(256\) | −3.75695 | − | 15.5527i | −0.234810 | − | 0.972041i | ||||
\(257\) | 5.49086 | − | 3.17015i | 0.342510 | − | 0.197748i | −0.318871 | − | 0.947798i | \(-0.603304\pi\) |
0.661382 | + | 0.750050i | \(0.269970\pi\) | |||||||
\(258\) | 0.686429 | − | 2.23788i | 0.0427352 | − | 0.139324i | ||||
\(259\) | −5.03537 | + | 8.99625i | −0.312882 | + | 0.559000i | ||||
\(260\) | 9.55014 | + | 6.46712i | 0.592274 | + | 0.401074i | ||||
\(261\) | −5.97740 | + | 7.78990i | −0.369992 | + | 0.482183i | ||||
\(262\) | 12.6032 | − | 4.69899i | 0.778628 | − | 0.290305i | ||||
\(263\) | 23.2583 | − | 6.23204i | 1.43417 | − | 0.384284i | 0.543680 | − | 0.839293i | \(-0.317031\pi\) |
0.890487 | + | 0.455009i | \(0.150364\pi\) | |||||||
\(264\) | −12.3048 | − | 4.76220i | −0.757311 | − | 0.293093i | ||||
\(265\) | 24.6256 | − | 24.6256i | 1.51274 | − | 1.51274i | ||||
\(266\) | −7.89530 | − | 14.4145i | −0.484092 | − | 0.883809i | ||||
\(267\) | 6.21266 | + | 14.9987i | 0.380209 | + | 0.917905i | ||||
\(268\) | −24.3171 | − | 12.1797i | −1.48540 | − | 0.743993i | ||||
\(269\) | 9.08543 | − | 6.97149i | 0.553948 | − | 0.425059i | −0.293483 | − | 0.955964i | \(-0.594815\pi\) |
0.847431 | + | 0.530905i | \(0.178148\pi\) | |||||||
\(270\) | 29.2791 | + | 1.04929i | 1.78187 | + | 0.0638575i | ||||
\(271\) | −2.98969 | + | 1.72610i | −0.181611 | + | 0.104853i | −0.588049 | − | 0.808825i | \(-0.700104\pi\) |
0.406438 | + | 0.913678i | \(0.366771\pi\) | |||||||
\(272\) | −3.70923 | − | 9.27834i | −0.224905 | − | 0.562582i | ||||
\(273\) | 5.42835 | − | 2.33371i | 0.328538 | − | 0.141243i | ||||
\(274\) | −6.20630 | − | 11.6982i | −0.374936 | − | 0.706712i | ||||
\(275\) | −3.61159 | − | 27.4328i | −0.217787 | − | 1.65426i | ||||
\(276\) | 7.90615 | − | 8.90338i | 0.475895 | − | 0.535921i | ||||
\(277\) | 0.787098 | − | 5.97860i | 0.0472921 | − | 0.359219i | −0.951394 | − | 0.307976i | \(-0.900348\pi\) |
0.998686 | − | 0.0512432i | \(-0.0163184\pi\) | |||||||
\(278\) | −6.62901 | − | 9.31154i | −0.397581 | − | 0.558469i | ||||
\(279\) | 4.59891 | + | 4.59891i | 0.275329 | + | 0.275329i | ||||
\(280\) | −4.57335 | − | 27.0218i | −0.273310 | − | 1.61486i | ||||
\(281\) | −11.0563 | + | 11.0563i | −0.659565 | + | 0.659565i | −0.955277 | − | 0.295712i | \(-0.904443\pi\) |
0.295712 | + | 0.955277i | \(0.404443\pi\) | |||||||
\(282\) | 10.0883 | + | 1.69770i | 0.600752 | + | 0.101097i | ||||
\(283\) | −24.3058 | − | 3.19992i | −1.44483 | − | 0.190215i | −0.633018 | − | 0.774137i | \(-0.718184\pi\) |
−0.811810 | + | 0.583922i | \(0.801518\pi\) | |||||||
\(284\) | 6.00592 | + | 2.08031i | 0.356386 | + | 0.123444i | ||||
\(285\) | 22.6196 | − | 2.97793i | 1.33987 | − | 0.176397i | ||||
\(286\) | −2.14794 | + | 7.00267i | −0.127011 | + | 0.414077i | ||||
\(287\) | 4.75111 | − | 6.36562i | 0.280449 | − | 0.375751i | ||||
\(288\) | −3.61407 | + | 4.26727i | −0.212961 | + | 0.251451i | ||||
\(289\) | 5.37981 | + | 9.31811i | 0.316459 | + | 0.548124i | ||||
\(290\) | −37.6560 | + | 35.0504i | −2.21124 | + | 2.05823i | ||||
\(291\) | 6.58078 | + | 8.57624i | 0.385772 | + | 0.502748i | ||||
\(292\) | −2.78779 | − | 3.21887i | −0.163143 | − | 0.188370i | ||||
\(293\) | −8.76745 | + | 3.63160i | −0.512200 | + | 0.212160i | −0.623787 | − | 0.781595i | \(-0.714407\pi\) |
0.111587 | + | 0.993755i | \(0.464407\pi\) | |||||||
\(294\) | −12.9215 | − | 5.49164i | −0.753596 | − | 0.320279i | ||||
\(295\) | 21.7391 | + | 21.7391i | 1.26570 | + | 1.26570i | ||||
\(296\) | 11.0184 | − | 0.258249i | 0.640430 | − | 0.0150104i | ||||
\(297\) | 4.81559 | + | 17.9720i | 0.279429 | + | 1.04284i | ||||
\(298\) | 9.19588 | − | 20.1297i | 0.532703 | − | 1.16608i | ||||
\(299\) | −5.24416 | − | 4.02398i | −0.303277 | − | 0.232713i | ||||
\(300\) | 23.3740 | + | 4.80007i | 1.34950 | + | 0.277132i | ||||
\(301\) | 1.57936 | + | 2.65325i | 0.0910330 | + | 0.152931i | ||||
\(302\) | −4.44590 | + | 2.35871i | −0.255833 | + | 0.135728i | ||||
\(303\) | 4.98001 | + | 8.62564i | 0.286094 | + | 0.495530i | ||||
\(304\) | −8.97277 | + | 15.1060i | −0.514623 | + | 0.866387i | ||||
\(305\) | −38.6509 | − | 22.3151i | −2.21314 | − | 1.27776i | ||||
\(306\) | −1.85337 | + | 2.95998i | −0.105950 | + | 0.169211i | ||||
\(307\) | −6.04763 | + | 14.6003i | −0.345156 | + | 0.833281i | 0.652021 | + | 0.758201i | \(0.273921\pi\) |
−0.997177 | + | 0.0750806i | \(0.976079\pi\) | |||||||
\(308\) | 15.5544 | − | 7.80895i | 0.886293 | − | 0.444956i | ||||
\(309\) | −4.11166 | + | 1.70310i | −0.233904 | + | 0.0968862i | ||||
\(310\) | 19.7623 | + | 27.7594i | 1.12242 | + | 1.57663i | ||||
\(311\) | −19.6888 | + | 5.27560i | −1.11645 | + | 0.299152i | −0.769446 | − | 0.638712i | \(-0.779467\pi\) |
−0.347003 | + | 0.937864i | \(0.612801\pi\) | |||||||
\(312\) | −5.10011 | − | 3.72689i | −0.288737 | − | 0.210993i | ||||
\(313\) | −1.24911 | + | 4.66174i | −0.0706039 | + | 0.263497i | −0.992201 | − | 0.124652i | \(-0.960219\pi\) |
0.921597 | + | 0.388149i | \(0.126885\pi\) | |||||||
\(314\) | 17.6047 | − | 21.3164i | 0.993490 | − | 1.20295i | ||||
\(315\) | −6.68218 | + | 6.86267i | −0.376498 | + | 0.386668i | ||||
\(316\) | 12.6810 | + | 8.58729i | 0.713365 | + | 0.483073i | ||||
\(317\) | 3.82445 | + | 29.0496i | 0.214803 | + | 1.63159i | 0.670822 | + | 0.741618i | \(0.265941\pi\) |
−0.456019 | + | 0.889970i | \(0.650725\pi\) | |||||||
\(318\) | −13.9610 | + | 12.9950i | −0.782896 | + | 0.728724i | ||||
\(319\) | −28.2933 | − | 16.3351i | −1.58412 | − | 0.914592i | ||||
\(320\) | −22.3828 | + | 18.9051i | −1.25124 | + | 1.05683i | ||||
\(321\) | − | 14.3058i | − | 0.798475i | ||||||
\(322\) | 1.69930 | + | 15.6144i | 0.0946985 | + | 0.870157i | ||||
\(323\) | −4.19908 | + | 10.1375i | −0.233643 | + | 0.564064i | ||||
\(324\) | −10.0883 | − | 0.724008i | −0.560463 | − | 0.0402227i | ||||
\(325\) | 1.72904 | − | 13.1334i | 0.0959099 | − | 0.728508i | ||||
\(326\) | −2.81419 | − | 7.54796i | −0.155864 | − | 0.418043i | ||||
\(327\) | −14.2875 | − | 3.82832i | −0.790100 | − | 0.211707i | ||||
\(328\) | −8.44264 | − | 0.910805i | −0.466167 | − | 0.0502908i | ||||
\(329\) | −10.5956 | + | 8.35697i | −0.584157 | + | 0.460734i | ||||
\(330\) | 2.29367 | + | 24.0514i | 0.126262 | + | 1.32399i | ||||
\(331\) | 14.6340 | − | 19.0714i | 0.804359 | − | 1.04826i | −0.193385 | − | 0.981123i | \(-0.561946\pi\) |
0.997744 | − | 0.0671382i | \(-0.0213869\pi\) | |||||||
\(332\) | 0.329018 | + | 5.54601i | 0.0180572 | + | 0.304377i | ||||
\(333\) | −2.34496 | − | 3.05601i | −0.128503 | − | 0.167468i | ||||
\(334\) | −6.47878 | − | 4.05664i | −0.354503 | − | 0.221970i | ||||
\(335\) | 49.8013i | 2.72093i | ||||||||
\(336\) | 1.97306 | + | 14.8792i | 0.107639 | + | 0.811726i | ||||
\(337\) | 15.6356i | 0.851726i | 0.904788 | + | 0.425863i | \(0.140029\pi\) | ||||
−0.904788 | + | 0.425863i | \(0.859971\pi\) | |||||||
\(338\) | 7.89574 | − | 12.6101i | 0.429472 | − | 0.685900i | ||||
\(339\) | 7.15890 | + | 9.32966i | 0.388818 | + | 0.506718i | ||||
\(340\) | −12.1493 | + | 13.6817i | −0.658886 | + | 0.741993i | ||||
\(341\) | −13.1736 | + | 17.1682i | −0.713390 | + | 0.929708i | ||||
\(342\) | 6.11300 | − | 0.582968i | 0.330553 | − | 0.0315233i | ||||
\(343\) | 16.8136 | − | 7.76554i | 0.907848 | − | 0.419300i | ||||
\(344\) | 1.58303 | − | 2.89658i | 0.0853512 | − | 0.156173i | ||||
\(345\) | −21.0606 | − | 5.64316i | −1.13386 | − | 0.303817i | ||||
\(346\) | −30.4859 | + | 11.3664i | −1.63893 | + | 0.611062i | ||||
\(347\) | −0.934642 | + | 7.09931i | −0.0501742 | + | 0.381111i | 0.947873 | + | 0.318648i | \(0.103229\pi\) |
−0.998047 | + | 0.0624629i | \(0.980105\pi\) | |||||||
\(348\) | 21.2973 | − | 18.4451i | 1.14165 | − | 0.988760i | ||||
\(349\) | −3.01795 | + | 7.28597i | −0.161547 | + | 0.390009i | −0.983839 | − | 0.179057i | \(-0.942695\pi\) |
0.822292 | + | 0.569066i | \(0.192695\pi\) | |||||||
\(350\) | −25.3964 | + | 18.5949i | −1.35750 | + | 0.993937i | ||||
\(351\) | 8.90759i | 0.475452i | ||||||||
\(352\) | −15.6464 | − | 10.0689i | −0.833958 | − | 0.536672i | ||||
\(353\) | 15.1410 | + | 8.74164i | 0.805872 | + | 0.465270i | 0.845520 | − | 0.533943i | \(-0.179290\pi\) |
−0.0396484 | + | 0.999214i | \(0.512624\pi\) | |||||||
\(354\) | −11.4718 | − | 12.3246i | −0.609719 | − | 0.655045i | ||||
\(355\) | −1.51916 | − | 11.5392i | −0.0806288 | − | 0.612437i | ||||
\(356\) | 4.32714 | + | 22.4809i | 0.229338 | + | 1.19148i | ||||
\(357\) | 2.54651 | + | 9.02114i | 0.134776 | + | 0.477449i | ||||
\(358\) | 19.2775 | + | 15.9208i | 1.01885 | + | 0.841439i | ||||
\(359\) | −7.22222 | + | 26.9537i | −0.381174 | + | 1.42256i | 0.462936 | + | 0.886391i | \(0.346796\pi\) |
−0.844110 | + | 0.536169i | \(0.819871\pi\) | |||||||
\(360\) | 9.95033 | + | 2.41778i | 0.524428 | + | 0.127428i | ||||
\(361\) | 0.283802 | − | 0.0760446i | 0.0149370 | − | 0.00400235i | ||||
\(362\) | 26.9699 | − | 19.2003i | 1.41751 | − | 1.00914i | ||||
\(363\) | 0.237791 | − | 0.0984962i | 0.0124808 | − | 0.00516971i | ||||
\(364\) | 8.16048 | − | 1.68380i | 0.427726 | − | 0.0882551i | ||||
\(365\) | −2.98398 | + | 7.20397i | −0.156189 | + | 0.377073i | ||||
\(366\) | 20.7166 | + | 12.9716i | 1.08287 | + | 0.678034i | ||||
\(367\) | −12.4882 | − | 7.21005i | −0.651877 | − | 0.376362i | 0.137298 | − | 0.990530i | \(-0.456158\pi\) |
−0.789175 | + | 0.614168i | \(0.789492\pi\) | |||||||
\(368\) | 13.4469 | − | 10.0560i | 0.700966 | − | 0.524203i | ||||
\(369\) | 1.48393 | + | 2.57023i | 0.0772501 | + | 0.133801i | ||||
\(370\) | −9.45845 | − | 17.8281i | −0.491722 | − | 0.926840i | ||||
\(371\) | −0.335234 | − | 25.1571i | −0.0174045 | − | 1.30609i | ||||
\(372\) | −10.2717 | − | 15.5808i | −0.532565 | − | 0.807827i | ||||
\(373\) | −5.16366 | − | 3.96222i | −0.267364 | − | 0.205156i | 0.466375 | − | 0.884587i | \(-0.345560\pi\) |
−0.733739 | + | 0.679431i | \(0.762227\pi\) | |||||||
\(374\) | −10.5693 | − | 4.82839i | −0.546525 | − | 0.249670i | ||||
\(375\) | −4.58730 | − | 17.1200i | −0.236887 | − | 0.884075i | ||||
\(376\) | 13.4540 | + | 5.20694i | 0.693836 | + | 0.268527i | ||||
\(377\) | −11.0597 | − | 11.0597i | −0.569605 | − | 0.569605i | ||||
\(378\) | 15.2993 | − | 14.6260i | 0.786913 | − | 0.752279i | ||||
\(379\) | 19.6320 | − | 8.13186i | 1.00843 | − | 0.417705i | 0.183548 | − | 0.983011i | \(-0.441242\pi\) |
0.824882 | + | 0.565305i | \(0.191242\pi\) | |||||||
\(380\) | 32.0905 | + | 2.30303i | 1.64621 | + | 0.118143i | ||||
\(381\) | −10.8077 | − | 14.0849i | −0.553696 | − | 0.721591i | ||||
\(382\) | 19.2043 | + | 20.6319i | 0.982578 | + | 1.05562i | ||||
\(383\) | −17.7222 | − | 30.6958i | −0.905563 | − | 1.56848i | −0.820159 | − | 0.572135i | \(-0.806115\pi\) |
−0.0854039 | − | 0.996346i | \(-0.527218\pi\) | |||||||
\(384\) | 12.6213 | − | 9.90804i | 0.644077 | − | 0.505618i | ||||
\(385\) | −25.5406 | − | 19.0628i | −1.30167 | − | 0.971528i | ||||
\(386\) | −25.2180 | − | 7.73515i | −1.28356 | − | 0.393709i | ||||
\(387\) | −1.14382 | + | 0.150586i | −0.0581435 | + | 0.00765474i | ||||
\(388\) | 6.65753 | + | 13.7136i | 0.337985 | + | 0.696204i | ||||
\(389\) | −2.96074 | − | 0.389789i | −0.150116 | − | 0.0197631i | 0.0550938 | − | 0.998481i | \(-0.482454\pi\) |
−0.205209 | + | 0.978718i | \(0.565788\pi\) | |||||||
\(390\) | −1.91951 | + | 11.4064i | −0.0971984 | + | 0.577586i | ||||
\(391\) | 7.41496 | − | 7.41496i | 0.374991 | − | 0.374991i | ||||
\(392\) | −16.2913 | − | 11.2514i | −0.822835 | − | 0.568281i | ||||
\(393\) | 9.53827 | + | 9.53827i | 0.481142 | + | 0.481142i | ||||
\(394\) | 14.5348 | − | 10.3475i | 0.732252 | − | 0.521300i | ||||
\(395\) | 3.66048 | − | 27.8041i | 0.184179 | − | 1.39898i | ||||
\(396\) | 0.385111 | + | 6.49154i | 0.0193526 | + | 0.326212i | ||||
\(397\) | −3.34716 | − | 25.4242i | −0.167989 | − | 1.27601i | −0.842886 | − | 0.538093i | \(-0.819145\pi\) |
0.674896 | − | 0.737913i | \(-0.264188\pi\) | |||||||
\(398\) | −15.2520 | + | 8.09175i | −0.764515 | + | 0.405603i | ||||
\(399\) | 9.85856 | − | 13.2087i | 0.493545 | − | 0.661261i | ||||
\(400\) | 30.9261 | + | 13.2612i | 1.54630 | + | 0.663060i | ||||
\(401\) | 13.1712 | − | 7.60438i | 0.657737 | − | 0.379745i | −0.133677 | − | 0.991025i | \(-0.542679\pi\) |
0.791414 | + | 0.611280i | \(0.209345\pi\) | |||||||
\(402\) | 0.976821 | − | 27.2571i | 0.0487194 | − | 1.35946i | ||||
\(403\) | −8.21921 | + | 6.30682i | −0.409428 | + | 0.314165i | ||||
\(404\) | 4.43229 | + | 13.3278i | 0.220515 | + | 0.663081i | ||||
\(405\) | 7.08757 | + | 17.1109i | 0.352184 | + | 0.850248i | ||||
\(406\) | −0.836034 | + | 37.1555i | −0.0414917 | + | 1.84400i | ||||
\(407\) | 9.06277 | − | 9.06277i | 0.449225 | − | 0.449225i | ||||
\(408\) | 6.91785 | − | 7.24991i | 0.342485 | − | 0.358924i | ||||
\(409\) | 13.7278 | − | 3.67835i | 0.678795 | − | 0.181883i | 0.0970817 | − | 0.995276i | \(-0.469049\pi\) |
0.581713 | + | 0.813394i | \(0.302383\pi\) | |||||||
\(410\) | 5.43217 | + | 14.5697i | 0.268276 | + | 0.719544i | ||||
\(411\) | 8.08461 | − | 10.5361i | 0.398784 | − | 0.519706i | ||||
\(412\) | −6.16278 | + | 1.18622i | −0.303618 | + | 0.0584408i | ||||
\(413\) | 22.2083 | − | 0.295940i | 1.09280 | − | 0.0145622i | ||||
\(414\) | −5.61054 | − | 1.72093i | −0.275743 | − | 0.0845792i | ||||
\(415\) | 8.81042 | − | 5.08670i | 0.432487 | − | 0.249696i | ||||
\(416\) | −5.98783 | − | 6.59492i | −0.293577 | − | 0.323342i | ||||
\(417\) | 5.73142 | − | 9.92712i | 0.280669 | − | 0.486133i | ||||
\(418\) | 4.57794 | + | 19.9124i | 0.223915 | + | 0.973947i | ||||
\(419\) | −8.25059 | − | 3.41751i | −0.403068 | − | 0.166956i | 0.171934 | − | 0.985109i | \(-0.444998\pi\) |
−0.575001 | + | 0.818152i | \(0.694998\pi\) | |||||||
\(420\) | 22.7430 | − | 15.4321i | 1.10974 | − | 0.753009i | ||||
\(421\) | 1.90134 | + | 4.59025i | 0.0926658 | + | 0.223715i | 0.963416 | − | 0.268011i | \(-0.0863663\pi\) |
−0.870750 | + | 0.491726i | \(0.836366\pi\) | |||||||
\(422\) | 1.66725 | − | 9.90738i | 0.0811605 | − | 0.482284i | ||||
\(423\) | −1.30499 | − | 4.87028i | −0.0634507 | − | 0.236801i | ||||
\(424\) | −22.9715 | + | 13.9903i | −1.11559 | + | 0.679430i | ||||
\(425\) | 20.2986 | + | 5.43900i | 0.984628 | + | 0.263830i | ||||
\(426\) | 0.605130 | + | 6.34539i | 0.0293186 | + | 0.307435i | ||||
\(427\) | −31.0297 | + | 8.75914i | −1.50163 | + | 0.423885i | ||||
\(428\) | 4.05820 | − | 19.7614i | 0.196161 | − | 0.955205i | ||||
\(429\) | −7.28279 | + | 0.958798i | −0.351617 | + | 0.0462912i | ||||
\(430\) | −6.04060 | − | 0.216479i | −0.291304 | − | 0.0104395i | ||||
\(431\) | 5.39503 | − | 9.34446i | 0.259869 | − | 0.450107i | −0.706337 | − | 0.707875i | \(-0.749654\pi\) |
0.966207 | + | 0.257768i | \(0.0829872\pi\) | |||||||
\(432\) | −21.7819 | − | 6.12664i | −1.04798 | − | 0.294768i | ||||
\(433\) | −34.1961 | −1.64336 | −0.821680 | − | 0.569949i | \(-0.806963\pi\) | ||||
−0.821680 | + | 0.569949i | \(0.806963\pi\) | |||||||
\(434\) | 24.3281 | + | 3.76140i | 1.16778 | + | 0.180553i | ||||
\(435\) | −47.6642 | − | 19.7431i | −2.28532 | − | 0.946611i | ||||
\(436\) | −18.6501 | − | 9.34126i | −0.893177 | − | 0.447365i | ||||
\(437\) | −18.2808 | − | 2.40672i | −0.874491 | − | 0.115129i | ||||
\(438\) | 1.77449 | − | 3.88433i | 0.0847882 | − | 0.185600i | ||||
\(439\) | −4.04898 | + | 15.1110i | −0.193247 | + | 0.721208i | 0.799467 | + | 0.600711i | \(0.205116\pi\) |
−0.992714 | + | 0.120497i | \(0.961551\pi\) | |||||||
\(440\) | −3.65440 | + | 33.8742i | −0.174217 | + | 1.61489i | ||||
\(441\) | 0.184389 | + | 6.91736i | 0.00878044 | + | 0.329398i | ||||
\(442\) | −4.28932 | − | 3.54245i | −0.204022 | − | 0.168497i | ||||
\(443\) | −3.60203 | − | 2.76394i | −0.171138 | − | 0.131319i | 0.519641 | − | 0.854385i | \(-0.326066\pi\) |
−0.690779 | + | 0.723066i | \(0.742732\pi\) | |||||||
\(444\) | 4.82709 | + | 9.94315i | 0.229083 | + | 0.471881i | ||||
\(445\) | 33.2584 | − | 25.5201i | 1.57660 | − | 1.20977i | ||||
\(446\) | −2.97078 | − | 12.9218i | −0.140670 | − | 0.611866i | ||||
\(447\) | 22.1940 | 1.04974 | ||||||||
\(448\) | −1.49535 | + | 21.1131i | −0.0706486 | + | 0.997501i | ||||
\(449\) | 1.32375 | 0.0624716 | 0.0312358 | − | 0.999512i | \(-0.490056\pi\) | ||||
0.0312358 | + | 0.999512i | \(0.490056\pi\) | |||||||
\(450\) | −2.63506 | − | 11.4616i | −0.124218 | − | 0.540304i | ||||
\(451\) | −7.83423 | + | 6.01142i | −0.368899 | + | 0.283067i | ||||
\(452\) | 7.24239 | + | 14.9184i | 0.340654 | + | 0.701701i | ||||
\(453\) | −4.00424 | − | 3.07256i | −0.188136 | − | 0.144362i | ||||
\(454\) | −3.38603 | − | 2.79644i | −0.158914 | − | 0.131243i | ||||
\(455\) | −9.44882 | − | 11.9800i | −0.442968 | − | 0.561630i | ||||
\(456\) | −17.5185 | − | 1.88992i | −0.820378 | − | 0.0885037i | ||||
\(457\) | −5.50485 | + | 20.5444i | −0.257506 | + | 0.961025i | 0.709173 | + | 0.705034i | \(0.249068\pi\) |
−0.966679 | + | 0.255991i | \(0.917598\pi\) | |||||||
\(458\) | −1.90036 | + | 4.15987i | −0.0887981 | + | 0.194378i | ||||
\(459\) | −14.0102 | − | 1.84448i | −0.653939 | − | 0.0860927i | ||||
\(460\) | −27.4913 | − | 13.7695i | −1.28179 | − | 0.642008i | ||||
\(461\) | 29.5870 | + | 12.2553i | 1.37800 | + | 0.570788i | 0.943947 | − | 0.330098i | \(-0.107082\pi\) |
0.434057 | + | 0.900885i | \(0.357082\pi\) | |||||||
\(462\) | 13.6049 | + | 10.9343i | 0.632958 | + | 0.508711i | ||||
\(463\) | −11.1091 | −0.516282 | −0.258141 | − | 0.966107i | \(-0.583110\pi\) | ||||
−0.258141 | + | 0.966107i | \(0.583110\pi\) | |||||||
\(464\) | 34.6515 | − | 19.4377i | 1.60865 | − | 0.902373i | ||||
\(465\) | −17.0864 | + | 29.5945i | −0.792363 | + | 1.37241i | ||||
\(466\) | −10.0981 | − | 0.361889i | −0.467786 | − | 0.0167642i | ||||
\(467\) | 8.14926 | − | 1.07287i | 0.377103 | − | 0.0496465i | 0.0604073 | − | 0.998174i | \(-0.480760\pi\) |
0.316695 | + | 0.948527i | \(0.397427\pi\) | |||||||
\(468\) | −0.626271 | + | 3.04963i | −0.0289494 | + | 0.140969i | ||||
\(469\) | 25.7770 | + | 25.0990i | 1.19027 | + | 1.15897i | ||||
\(470\) | −2.50787 | − | 26.2975i | −0.115679 | − | 1.21302i | ||||
\(471\) | 26.7806 | + | 7.17583i | 1.23398 | + | 0.330645i | ||||
\(472\) | −12.3504 | − | 20.2789i | −0.568475 | − | 0.933412i | ||||
\(473\) | −0.993509 | − | 3.70783i | −0.0456816 | − | 0.170486i | ||||
\(474\) | −2.54881 | + | 15.1459i | −0.117071 | + | 0.695673i | ||||
\(475\) | −14.1405 | − | 34.1383i | −0.648812 | − | 1.56637i | ||||
\(476\) | 0.958569 | + | 13.1838i | 0.0439359 | + | 0.604277i | ||||
\(477\) | 8.68483 | + | 3.59738i | 0.397651 | + | 0.164713i | ||||
\(478\) | −2.62244 | − | 11.4066i | −0.119947 | − | 0.521728i | ||||
\(479\) | −3.99901 | + | 6.92649i | −0.182719 | + | 0.316479i | −0.942806 | − | 0.333343i | \(-0.891823\pi\) |
0.760086 | + | 0.649822i | \(0.225157\pi\) | |||||||
\(480\) | −26.5721 | − | 12.5392i | −1.21284 | − | 0.572332i | ||||
\(481\) | 5.31389 | − | 3.06798i | 0.242293 | − | 0.139888i | ||||
\(482\) | 24.8437 | + | 7.62034i | 1.13160 | + | 0.347097i | ||||
\(483\) | −13.5351 | + | 8.05683i | −0.615867 | + | 0.366598i | ||||
\(484\) | 0.356414 | − | 0.0686030i | 0.0162007 | − | 0.00311832i | ||||
\(485\) | 16.9932 | − | 22.1460i | 0.771621 | − | 1.00560i | ||||
\(486\) | 4.84076 | + | 12.9834i | 0.219582 | + | 0.588940i | ||||
\(487\) | −18.6097 | + | 4.98645i | −0.843286 | + | 0.225958i | −0.654501 | − | 0.756061i | \(-0.727121\pi\) |
−0.188784 | + | 0.982019i | \(0.560455\pi\) | |||||||
\(488\) | 24.9373 | + | 23.7951i | 1.12886 | + | 1.07715i | ||||
\(489\) | 5.71240 | − | 5.71240i | 0.258324 | − | 0.258324i | ||||
\(490\) | −5.06169 | + | 35.8997i | −0.228664 | + | 1.62178i | ||||
\(491\) | −2.43329 | − | 5.87448i | −0.109813 | − | 0.265112i | 0.859414 | − | 0.511280i | \(-0.170828\pi\) |
−0.969227 | + | 0.246168i | \(0.920828\pi\) | |||||||
\(492\) | −2.68735 | − | 8.08077i | −0.121155 | − | 0.364309i | ||||
\(493\) | 19.6853 | − | 15.1050i | 0.886579 | − | 0.680296i | ||||
\(494\) | −0.350325 | + | 9.77543i | −0.0157619 | + | 0.439817i | ||||
\(495\) | 10.3125 | − | 5.95392i | 0.463512 | − | 0.267609i | ||||
\(496\) | −9.76903 | − | 24.4364i | −0.438643 | − | 1.09723i | ||||
\(497\) | −6.73829 | − | 5.02925i | −0.302254 | − | 0.225593i | ||||
\(498\) | −4.92187 | + | 2.61123i | −0.220554 | + | 0.117012i | ||||
\(499\) | −1.48378 | − | 11.2705i | −0.0664233 | − | 0.504535i | −0.992026 | − | 0.126037i | \(-0.959774\pi\) |
0.925602 | − | 0.378498i | \(-0.123559\pi\) | |||||||
\(500\) | −1.48017 | − | 24.9501i | −0.0661952 | − | 1.11580i | ||||
\(501\) | 1.00060 | − | 7.60029i | 0.0447034 | − | 0.339556i | ||||
\(502\) | 10.0887 | − | 7.18228i | 0.450281 | − | 0.320561i | ||||
\(503\) | 1.80858 | + | 1.80858i | 0.0806405 | + | 0.0806405i | 0.746277 | − | 0.665636i | \(-0.231840\pi\) |
−0.665636 | + | 0.746277i | \(0.731840\pi\) | |||||||
\(504\) | 6.26624 | − | 3.93174i | 0.279121 | − | 0.175134i | ||||
\(505\) | 18.1862 | − | 18.1862i | 0.809277 | − | 0.809277i | ||||
\(506\) | 3.24038 | − | 19.2554i | 0.144052 | − | 0.856009i | ||||
\(507\) | 14.7930 | + | 1.94754i | 0.656980 | + | 0.0864931i | ||||
\(508\) | −10.9338 | − | 22.5221i | −0.485107 | − | 0.999257i | ||||
\(509\) | 2.75611 | − | 0.362849i | 0.122163 | − | 0.0160830i | −0.0691969 | − | 0.997603i | \(-0.522044\pi\) |
0.191360 | + | 0.981520i | \(0.438710\pi\) | |||||||
\(510\) | −17.5429 | − | 5.38098i | −0.776815 | − | 0.238274i | ||||
\(511\) | 2.22488 | + | 5.17519i | 0.0984228 | + | 0.228937i | ||||
\(512\) | 20.2451 | − | 10.1062i | 0.894717 | − | 0.446634i | ||||
\(513\) | 12.4236 | + | 21.5184i | 0.548517 | + | 0.950059i | ||||
\(514\) | 6.10916 | + | 6.56330i | 0.269463 | + | 0.289495i | ||||
\(515\) | 6.99594 | + | 9.11728i | 0.308278 | + | 0.401756i | ||||
\(516\) | 3.30188 | + | 0.236965i | 0.145357 | + | 0.0104318i | ||||
\(517\) | 15.4993 | − | 6.42003i | 0.681660 | − | 0.282353i | ||||
\(518\) | −13.9947 | − | 4.08942i | −0.614892 | − | 0.179679i | ||||
\(519\) | −23.0722 | − | 23.0722i | −1.01276 | − | 1.01276i | ||||
\(520\) | −5.88723 | + | 15.2118i | −0.258172 | + | 0.667080i | ||||
\(521\) | 5.61675 | + | 20.9620i | 0.246074 | + | 0.918362i | 0.972840 | + | 0.231477i | \(0.0743557\pi\) |
−0.726766 | + | 0.686885i | \(0.758978\pi\) | |||||||
\(522\) | −12.6305 | − | 5.77004i | −0.552824 | − | 0.252548i | ||||
\(523\) | 10.5208 | + | 8.07292i | 0.460044 | + | 0.353004i | 0.812635 | − | 0.582774i | \(-0.198033\pi\) |
−0.352591 | + | 0.935778i | \(0.614699\pi\) | |||||||
\(524\) | 10.4700 | + | 15.8815i | 0.457382 | + | 0.693786i | ||||
\(525\) | −27.5449 | − | 15.4174i | −1.20216 | − | 0.672871i | ||||
\(526\) | 15.9591 | + | 30.0812i | 0.695852 | + | 1.31160i | ||||
\(527\) | −8.21767 | − | 14.2334i | −0.357967 | − | 0.620017i | ||||
\(528\) | 2.66454 | − | 18.4682i | 0.115959 | − | 0.803727i | ||||
\(529\) | −4.65812 | − | 2.68937i | −0.202527 | − | 0.116929i | ||||
\(530\) | 41.7435 | + | 26.1374i | 1.81322 | + | 1.13534i | ||||
\(531\) | −3.17571 | + | 7.66685i | −0.137814 | + | 0.332713i | ||||
\(532\) | 17.3651 | − | 15.4492i | 0.752874 | − | 0.669810i | ||||
\(533\) | −4.36769 | + | 1.80915i | −0.189185 | + | 0.0783632i | ||||
\(534\) | −18.7035 | + | 13.3152i | −0.809378 | + | 0.576207i | ||||
\(535\) | −35.6824 | + | 9.56108i | −1.54269 | + | 0.413362i | ||||
\(536\) | 9.08147 | − | 37.3746i | 0.392260 | − | 1.61434i | ||||
\(537\) | −6.48946 | + | 24.2190i | −0.280041 | + | 1.04513i | ||||
\(538\) | 12.4874 | + | 10.3130i | 0.538370 | + | 0.444626i | ||||
\(539\) | −22.7389 | + | 3.61244i | −0.979434 | + | 0.155599i | ||||
\(540\) | 7.83141 | + | 40.6867i | 0.337010 | + | 1.75088i | ||||
\(541\) | −2.18973 | − | 16.6326i | −0.0941438 | − | 0.715093i | −0.971801 | − | 0.235804i | \(-0.924228\pi\) |
0.877657 | − | 0.479289i | \(-0.159106\pi\) | |||||||
\(542\) | −3.32635 | − | 3.57362i | −0.142879 | − | 0.153500i | ||||
\(543\) | 28.7529 | + | 16.6005i | 1.23390 | + | 0.712395i | ||||
\(544\) | 11.6126 | − | 8.05228i | 0.497887 | − | 0.345239i | ||||
\(545\) | 38.1952i | 1.63610i | ||||||||
\(546\) | 4.93652 | + | 6.74218i | 0.211264 | + | 0.288539i | ||||
\(547\) | 6.14264 | − | 14.8296i | 0.262640 | − | 0.634070i | −0.736460 | − | 0.676481i | \(-0.763504\pi\) |
0.999100 | + | 0.0424113i | \(0.0135040\pi\) | |||||||
\(548\) | 14.1565 | − | 12.2606i | 0.604737 | − | 0.523749i | ||||
\(549\) | 1.57243 | − | 11.9438i | 0.0671096 | − | 0.509748i | ||||
\(550\) | 36.6650 | − | 13.6703i | 1.56340 | − | 0.582902i | ||||
\(551\) | −42.1426 | − | 11.2921i | −1.79534 | − | 0.481059i | ||||
\(552\) | 14.7764 | + | 8.07553i | 0.628924 | + | 0.343717i | ||||
\(553\) | −12.5465 | − | 15.9075i | −0.533532 | − | 0.676455i | ||||
\(554\) | 8.48946 | − | 0.809600i | 0.360683 | − | 0.0343966i | ||||
\(555\) | 12.3210 | − | 16.0571i | 0.522998 | − | 0.681584i | ||||
\(556\) | 10.7332 | − | 12.0870i | 0.455189 | − | 0.512603i | ||||
\(557\) | −1.89340 | − | 2.46753i | −0.0802259 | − | 0.104552i | 0.751516 | − | 0.659715i | \(-0.229323\pi\) |
−0.831742 | + | 0.555162i | \(0.812656\pi\) | |||||||
\(558\) | −4.88124 | + | 7.79572i | −0.206639 | + | 0.330019i | ||||
\(559\) | − | 1.83773i | − | 0.0777277i | ||||||
\(560\) | 35.7938 | − | 14.8656i | 1.51256 | − | 0.628185i | ||||
\(561\) | − | 11.6532i | − | 0.491998i | ||||||
\(562\) | −18.7419 | − | 11.7351i | −0.790578 | − | 0.495015i | ||||
\(563\) | 16.0844 | + | 20.9616i | 0.677877 | + | 0.883426i | 0.997952 | − | 0.0639658i | \(-0.0203748\pi\) |
−0.320075 | + | 0.947392i | \(0.603708\pi\) | |||||||
\(564\) | 0.856791 | + | 14.4423i | 0.0360774 | + | 0.608130i | ||||
\(565\) | 18.4860 | − | 24.0915i | 0.777713 | − | 1.01354i | ||||
\(566\) | −3.29140 | − | 34.5136i | −0.138348 | − | 1.45071i | ||||
\(567\) | 12.4286 | + | 4.95512i | 0.521951 | + | 0.208095i | ||||
\(568\) | −0.964127 | + | 8.93690i | −0.0404539 | + | 0.374984i | ||||
\(569\) | 8.94191 | + | 2.39598i | 0.374864 | + | 0.100445i | 0.441332 | − | 0.897344i | \(-0.354506\pi\) |
−0.0664675 | + | 0.997789i | \(0.521173\pi\) | |||||||
\(570\) | 11.2718 | + | 30.2321i | 0.472122 | + | 1.26628i | ||||
\(571\) | −0.798380 | + | 6.06430i | −0.0334112 | + | 0.253783i | −0.999997 | − | 0.00256120i | \(-0.999185\pi\) |
0.966586 | + | 0.256344i | \(0.0825181\pi\) | |||||||
\(572\) | −10.3321 | − | 0.741502i | −0.432007 | − | 0.0310038i | ||||
\(573\) | −10.8174 | + | 26.1154i | −0.451902 | + | 1.09099i | ||||
\(574\) | 10.2789 | + | 4.53120i | 0.429035 | + | 0.189128i | ||||
\(575\) | 35.3131i | 1.47266i | ||||||||
\(576\) | −7.02658 | − | 3.62897i | −0.292774 | − | 0.151207i | ||||
\(577\) | 7.68536 | + | 4.43714i | 0.319946 | + | 0.184721i | 0.651368 | − | 0.758762i | \(-0.274195\pi\) |
−0.331423 | + | 0.943482i | \(0.607529\pi\) | |||||||
\(578\) | −11.1381 | + | 10.3674i | −0.463283 | + | 0.431226i | ||||
\(579\) | −3.45281 | − | 26.2267i | −0.143494 | − | 1.08995i | ||||
\(580\) | −60.2405 | − | 40.7934i | −2.50135 | − | 1.69385i | ||||
\(581\) | 1.80745 | − | 7.12387i | 0.0749857 | − | 0.295548i | ||||
\(582\) | −9.73504 | + | 11.7875i | −0.403530 | + | 0.488610i | ||||
\(583\) | −8.09524 | + | 30.2119i | −0.335271 | + | 1.25125i | ||||
\(584\) | 3.55308 | − | 4.86226i | 0.147027 | − | 0.201202i | ||||
\(585\) | 5.50659 | − | 1.47549i | 0.227670 | − | 0.0610039i | ||||
\(586\) | −7.78339 | − | 10.9331i | −0.321529 | − | 0.451641i | ||||
\(587\) | 22.2595 | − | 9.22019i | 0.918749 | − | 0.380558i | 0.127349 | − | 0.991858i | \(-0.459353\pi\) |
0.791399 | + | 0.611300i | \(0.209353\pi\) | |||||||
\(588\) | 3.47450 | − | 19.5492i | 0.143286 | − | 0.806197i | ||||
\(589\) | −11.0592 | + | 26.6992i | −0.455684 | + | 1.10012i | ||||
\(590\) | −23.0737 | + | 36.8506i | −0.949930 | + | 1.51711i | ||||
\(591\) | 15.4957 | + | 8.94643i | 0.637407 | + | 0.368007i | ||||
\(592\) | 3.84730 | + | 15.1043i | 0.158123 | + | 0.620784i | ||||
\(593\) | 12.4193 | + | 21.5108i | 0.509998 | + | 0.883343i | 0.999933 | + | 0.0115836i | \(0.00368725\pi\) |
−0.489935 | + | 0.871759i | \(0.662979\pi\) | |||||||
\(594\) | −23.2442 | + | 12.3319i | −0.953721 | + | 0.505983i | ||||
\(595\) | 20.7991 | − | 12.3808i | 0.852680 | − | 0.507563i | ||||
\(596\) | 30.6577 | + | 6.29586i | 1.25579 | + | 0.257889i | ||||
\(597\) | −13.7369 | − | 10.5407i | −0.562213 | − | 0.431402i | ||||
\(598\) | 3.88438 | − | 8.50287i | 0.158844 | − | 0.347708i | ||||
\(599\) | 8.90821 | + | 33.2459i | 0.363979 | + | 1.35839i | 0.868799 | + | 0.495165i | \(0.164892\pi\) |
−0.504820 | + | 0.863225i | \(0.668441\pi\) | |||||||
\(600\) | 0.790712 | + | 33.7363i | 0.0322807 | + | 1.37728i | ||||
\(601\) | 28.1493 | + | 28.1493i | 1.14823 | + | 1.14823i | 0.986900 | + | 0.161334i | \(0.0515795\pi\) |
0.161334 | + | 0.986900i | \(0.448420\pi\) | |||||||
\(602\) | −3.15642 | + | 3.01750i | −0.128646 | + | 0.122984i | ||||
\(603\) | −12.4194 | + | 5.14427i | −0.505756 | + | 0.209491i | ||||
\(604\) | −4.65967 | − | 5.38020i | −0.189599 | − | 0.218917i | ||||
\(605\) | −0.404599 | − | 0.527283i | −0.0164493 | − | 0.0214371i | ||||
\(606\) | −10.3103 | + | 9.59693i | −0.418829 | + | 0.389848i | ||||
\(607\) | −6.28806 | − | 10.8912i | −0.255225 | − | 0.442062i | 0.709732 | − | 0.704472i | \(-0.248816\pi\) |
−0.964957 | + | 0.262410i | \(0.915483\pi\) | |||||||
\(608\) | −23.6631 | − | 7.58020i | −0.959666 | − | 0.307418i | ||||
\(609\) | −34.2410 | + | 14.7206i | −1.38751 | + | 0.596509i | ||||
\(610\) | 18.5088 | − | 60.3418i | 0.749398 | − | 2.44317i | ||||
\(611\) | 7.96292 | − | 1.04834i | 0.322145 | − | 0.0424113i | ||||
\(612\) | −4.66689 | − | 1.61650i | −0.188648 | − | 0.0653432i | ||||
\(613\) | 33.8729 | + | 4.45945i | 1.36811 | + | 0.180115i | 0.778537 | − | 0.627598i | \(-0.215962\pi\) |
0.589575 | + | 0.807714i | \(0.299295\pi\) | |||||||
\(614\) | −22.0392 | − | 3.70885i | −0.889431 | − | 0.149677i | ||||
\(615\) | −11.0265 | + | 11.0265i | −0.444632 | + | 0.444632i | ||||
\(616\) | 15.6914 | + | 18.9636i | 0.632225 | + | 0.764063i | ||||
\(617\) | 22.7866 | + | 22.7866i | 0.917356 | + | 0.917356i | 0.996836 | − | 0.0794806i | \(-0.0253262\pi\) |
−0.0794806 | + | 0.996836i | \(0.525326\pi\) | |||||||
\(618\) | −3.65017 | − | 5.12727i | −0.146831 | − | 0.206249i | ||||
\(619\) | −3.34011 | + | 25.3706i | −0.134250 | + | 1.01973i | 0.783169 | + | 0.621809i | \(0.213602\pi\) |
−0.917419 | + | 0.397922i | \(0.869731\pi\) | |||||||
\(620\) | −31.9976 | + | 36.0335i | −1.28505 | + | 1.44714i | ||||
\(621\) | −3.09946 | − | 23.5427i | −0.124377 | − | 0.944737i | ||||
\(622\) | −13.5099 | − | 25.4646i | −0.541696 | − | 1.02104i | ||||
\(623\) | 3.55259 | − | 30.0762i | 0.142331 | − | 1.20498i | ||||
\(624\) | 3.52055 | − | 8.21019i | 0.140935 | − | 0.328671i | ||||
\(625\) | −3.20936 | + | 1.85292i | −0.128374 | + | 0.0741170i | ||||
\(626\) | −6.82089 | − | 0.244442i | −0.272618 | − | 0.00976988i | ||||
\(627\) | −16.2560 | + | 12.4737i | −0.649204 | + | 0.498152i | ||||
\(628\) | 34.9579 | + | 17.5093i | 1.39497 | + | 0.698698i | ||||
\(629\) | 3.72509 | + | 8.99317i | 0.148529 | + | 0.358581i | ||||
\(630\) | −11.5759 | − | 7.03521i | −0.461195 | − | 0.280290i | ||||
\(631\) | −13.2591 | + | 13.2591i | −0.527836 | + | 0.527836i | −0.919927 | − | 0.392091i | \(-0.871752\pi\) |
0.392091 | + | 0.919927i | \(0.371752\pi\) | |||||||
\(632\) | −7.81730 | + | 20.1988i | −0.310955 | + | 0.803465i | ||||
\(633\) | 9.73211 | − | 2.60771i | 0.386816 | − | 0.103647i | ||||
\(634\) | −38.8260 | + | 14.4760i | −1.54198 | + | 0.574913i | ||||
\(635\) | −27.9082 | + | 36.3706i | −1.10750 | + | 1.44332i | ||||
\(636\) | −22.3343 | − | 15.1242i | −0.885611 | − | 0.599714i | ||||
\(637\) | −10.9629 | − | 1.14704i | −0.434365 | − | 0.0454473i | ||||
\(638\) | 13.5488 | − | 44.1715i | 0.536403 | − | 1.74877i | ||||
\(639\) | 2.72071 | − | 1.57080i | 0.107629 | − | 0.0621399i | ||||
\(640\) | −33.1484 | − | 24.8588i | −1.31031 | − | 0.982632i | ||||
\(641\) | 19.8693 | − | 34.4146i | 0.784788 | − | 1.35929i | −0.144337 | − | 0.989529i | \(-0.546105\pi\) |
0.929125 | − | 0.369765i | \(-0.120562\pi\) | |||||||
\(642\) | 19.7171 | − | 4.53306i | 0.778174 | − | 0.178905i | ||||
\(643\) | −24.8075 | − | 10.2756i | −0.978311 | − | 0.405230i | −0.164511 | − | 0.986375i | \(-0.552605\pi\) |
−0.813800 | + | 0.581146i | \(0.802605\pi\) | |||||||
\(644\) | −20.9822 | + | 7.28978i | −0.826816 | + | 0.287257i | ||||
\(645\) | −2.31974 | − | 5.60034i | −0.0913396 | − | 0.220513i | ||||
\(646\) | −15.3026 | − | 2.57518i | −0.602073 | − | 0.101319i | ||||
\(647\) | 8.89282 | + | 33.1885i | 0.349613 | + | 1.30477i | 0.887130 | + | 0.461520i | \(0.152696\pi\) |
−0.537517 | + | 0.843253i | \(0.680638\pi\) | |||||||
\(648\) | −2.19879 | − | 14.1338i | −0.0863768 | − | 0.555226i | ||||
\(649\) | −26.6706 | − | 7.14636i | −1.04691 | − | 0.280519i | ||||
\(650\) | 18.6490 | − | 1.77847i | 0.731476 | − | 0.0697574i | ||||
\(651\) | 6.70677 | + | 23.7590i | 0.262859 | + | 0.931190i | ||||
\(652\) | 9.51131 | − | 6.27039i | 0.372492 | − | 0.245567i | ||||
\(653\) | −26.5045 | + | 3.48939i | −1.03720 | + | 0.136550i | −0.629847 | − | 0.776719i | \(-0.716882\pi\) |
−0.407356 | + | 0.913270i | \(0.633549\pi\) | |||||||
\(654\) | 0.749176 | − | 20.9049i | 0.0292951 | − | 0.817447i | ||||
\(655\) | 17.4161 | − | 30.1656i | 0.680505 | − | 1.17867i | ||||
\(656\) | −1.41987 | − | 11.9247i | −0.0554366 | − | 0.465583i | ||||
\(657\) | −2.10475 | −0.0821142 | ||||||||
\(658\) | −14.8755 | − | 11.9555i | −0.579906 | − | 0.466073i | ||||
\(659\) | 25.1157 | + | 10.4033i | 0.978370 | + | 0.405254i | 0.813822 | − | 0.581115i | \(-0.197383\pi\) |
0.164549 | + | 0.986369i | \(0.447383\pi\) | |||||||
\(660\) | −32.4223 | + | 10.7824i | −1.26203 | + | 0.419703i | ||||
\(661\) | 12.6165 | + | 1.66100i | 0.490727 | + | 0.0646054i | 0.371829 | − | 0.928301i | \(-0.378731\pi\) |
0.118897 | + | 0.992907i | \(0.462064\pi\) | |||||||
\(662\) | 30.9224 | + | 14.1264i | 1.20183 | + | 0.549036i | ||||
\(663\) | 1.44393 | − | 5.38883i | 0.0560777 | − | 0.209285i | ||||
\(664\) | −7.53958 | + | 2.21082i | −0.292592 | + | 0.0857965i | ||||
\(665\) | −39.5346 | − | 15.7620i | −1.53309 | − | 0.611223i | ||||
\(666\) | 3.46893 | − | 4.20031i | 0.134418 | − | 0.162759i | ||||
\(667\) | 33.0791 | + | 25.3825i | 1.28083 | + | 0.982815i | ||||
\(668\) | 3.53819 | − | 10.2149i | 0.136897 | − | 0.395224i | ||||
\(669\) | 10.5491 | − | 8.09460i | 0.407851 | − | 0.312955i | ||||
\(670\) | −68.6390 | + | 15.7804i | −2.65176 | + | 0.609650i | ||||
\(671\) | 40.0830 | 1.54739 | ||||||||
\(672\) | −19.8822 | + | 7.43411i | −0.766971 | + | 0.286777i | ||||
\(673\) | −18.7167 | −0.721474 | −0.360737 | − | 0.932668i | \(-0.617475\pi\) | ||||
−0.360737 | + | 0.932668i | \(0.617475\pi\) | |||||||
\(674\) | −21.5499 | + | 4.95441i | −0.830071 | + | 0.190837i | ||||
\(675\) | 37.7532 | − | 28.9690i | 1.45312 | − | 1.11502i | ||||
\(676\) | 19.8819 | + | 6.88663i | 0.764689 | + | 0.264870i | ||||
\(677\) | 9.56634 | + | 7.34051i | 0.367664 | + | 0.282119i | 0.776025 | − | 0.630702i | \(-0.217233\pi\) |
−0.408361 | + | 0.912821i | \(0.633900\pi\) | |||||||
\(678\) | −10.5903 | + | 12.8231i | −0.406717 | + | 0.492467i | ||||
\(679\) | −2.89839 | − | 19.9568i | −0.111230 | − | 0.765873i | ||||
\(680\) | −22.7066 | − | 12.4095i | −0.870757 | − | 0.475884i | ||||
\(681\) | 1.13985 | − | 4.25399i | 0.0436793 | − | 0.163013i | ||||
\(682\) | −27.8364 | − | 12.7166i | −1.06591 | − | 0.486943i | ||||
\(683\) | 46.4876 | + | 6.12021i | 1.77880 | + | 0.234183i | 0.947076 | − | 0.321009i | \(-0.104022\pi\) |
0.831722 | + | 0.555192i | \(0.187355\pi\) | |||||||
\(684\) | 2.74049 | + | 8.24057i | 0.104785 | + | 0.315086i | ||||
\(685\) | −31.6829 | − | 13.1235i | −1.21054 | − | 0.501422i | ||||
\(686\) | 16.0306 | + | 20.7128i | 0.612051 | + | 0.790819i | ||||
\(687\) | −4.58647 | −0.174985 | ||||||||
\(688\) | 4.49384 | + | 1.26399i | 0.171326 | + | 0.0481892i | ||||
\(689\) | −7.48704 | + | 12.9679i | −0.285233 | + | 0.494039i | ||||
\(690\) | 1.10433 | − | 30.8150i | 0.0420410 | − | 1.17311i | ||||
\(691\) | 7.57132 | − | 0.996783i | 0.288026 | − | 0.0379194i | 0.0148714 | − | 0.999889i | \(-0.495266\pi\) |
0.273155 | + | 0.961970i | \(0.411933\pi\) | |||||||
\(692\) | −25.3258 | − | 38.4158i | −0.962744 | − | 1.46035i | ||||
\(693\) | 2.11560 | − | 8.33840i | 0.0803649 | − | 0.316750i | ||||
\(694\) | −10.0808 | + | 0.961362i | −0.382663 | + | 0.0364928i | ||||
\(695\) | −28.5913 | − | 7.66101i | −1.08453 | − | 0.290599i | ||||
\(696\) | 32.1705 | + | 23.5085i | 1.21942 | + | 0.891087i | ||||
\(697\) | −1.94110 | − | 7.24428i | −0.0735243 | − | 0.274396i | ||||
\(698\) | −10.9982 | − | 1.85083i | −0.416290 | − | 0.0700548i | ||||
\(699\) | −3.87792 | − | 9.36212i | −0.146676 | − | 0.354108i | ||||
\(700\) | −33.6758 | − | 29.1107i | −1.27283 | − | 1.10028i | ||||
\(701\) | −46.6103 | − | 19.3066i | −1.76045 | − | 0.729200i | −0.996470 | − | 0.0839555i | \(-0.973245\pi\) |
−0.763976 | − | 0.645245i | \(-0.776755\pi\) | |||||||
\(702\) | −12.2770 | + | 2.82252i | −0.463364 | + | 0.106529i | ||||
\(703\) | 8.55797 | − | 14.8228i | 0.322770 | − | 0.559054i | ||||
\(704\) | 8.91963 | − | 24.7553i | 0.336171 | − | 0.933001i | ||||
\(705\) | 22.9431 | − | 13.2462i | 0.864087 | − | 0.498881i | ||||
\(706\) | −7.25056 | + | 23.6381i | −0.272878 | + | 0.889631i | ||||
\(707\) | −0.247573 | − | 18.5787i | −0.00931095 | − | 0.698725i | ||||
\(708\) | 13.3514 | − | 19.7164i | 0.501778 | − | 0.740986i | ||||
\(709\) | −27.8964 | + | 36.3552i | −1.04767 | + | 1.36535i | −0.119651 | + | 0.992816i | \(0.538178\pi\) |
−0.928019 | + | 0.372534i | \(0.878489\pi\) | |||||||
\(710\) | 15.4226 | − | 5.75019i | 0.578800 | − | 0.215801i | ||||
\(711\) | 7.31187 | − | 1.95921i | 0.274217 | − | 0.0734761i | ||||
\(712\) | −29.6133 | + | 13.0874i | −1.10981 | + | 0.490470i | ||||
\(713\) | 19.5288 | − | 19.5288i | 0.731361 | − | 0.731361i | ||||
\(714\) | −11.6266 | + | 6.36825i | −0.435113 | + | 0.238326i | ||||
\(715\) | 7.25883 | + | 17.5244i | 0.271465 | + | 0.655374i | ||||
\(716\) | −15.8345 | + | 31.6141i | −0.591765 | + | 1.18147i | ||||
\(717\) | 9.31213 | − | 7.14545i | 0.347768 | − | 0.266852i | ||||
\(718\) | −39.4376 | − | 1.41334i | −1.47180 | − | 0.0527453i | ||||
\(719\) | 16.7131 | − | 9.64931i | 0.623293 | − | 0.359858i | −0.154857 | − | 0.987937i | \(-0.549492\pi\) |
0.778150 | + | 0.628079i | \(0.216158\pi\) | |||||||
\(720\) | −0.179395 | + | 14.4802i | −0.00668565 | + | 0.539646i | ||||
\(721\) | 8.24492 | + | 0.973887i | 0.307057 | + | 0.0362695i | ||||
\(722\) | 0.194737 | + | 0.367057i | 0.00724735 | + | 0.0136604i | ||||
\(723\) | 3.40156 | + | 25.8374i | 0.126506 | + | 0.960905i | ||||
\(724\) | 35.0088 | + | 31.0876i | 1.30109 | + | 1.15536i | ||||
\(725\) | −10.9065 | + | 82.8428i | −0.405056 | + | 3.07670i | ||||
\(726\) | 0.211101 | + | 0.296527i | 0.00783471 | + | 0.0110052i | ||||
\(727\) | 27.0443 | + | 27.0443i | 1.00302 | + | 1.00302i | 0.999995 | + | 0.00302189i | \(0.000961898\pi\) |
0.00302189 | + | 0.999995i | \(0.499038\pi\) | |||||||
\(728\) | 4.90650 | + | 10.7137i | 0.181847 | + | 0.397076i | ||||
\(729\) | −20.5539 | + | 20.5539i | −0.761254 | + | 0.761254i | ||||
\(730\) | −10.8745 | − | 1.83000i | −0.402482 | − | 0.0677312i | ||||
\(731\) | 2.89045 | + | 0.380535i | 0.106907 | + | 0.0140746i | ||||
\(732\) | −11.3137 | + | 32.6631i | −0.418168 | + | 1.20726i | ||||
\(733\) | −20.4613 | + | 2.69378i | −0.755755 | + | 0.0994970i | −0.498551 | − | 0.866860i | \(-0.666134\pi\) |
−0.257204 | + | 0.966357i | \(0.582801\pi\) | |||||||
\(734\) | 5.98022 | − | 19.4966i | 0.220734 | − | 0.719631i | ||||
\(735\) | −34.8564 | + | 10.3427i | −1.28570 | + | 0.381498i | ||||
\(736\) | 18.1206 | + | 15.3468i | 0.667933 | + | 0.565692i | ||||
\(737\) | −22.3636 | − | 38.7349i | −0.823774 | − | 1.42682i | ||||
\(738\) | −3.07224 | + | 2.85966i | −0.113091 | + | 0.105265i | ||||
\(739\) | −1.75448 | − | 2.28648i | −0.0645395 | − | 0.0841095i | 0.759968 | − | 0.649960i | \(-0.225214\pi\) |
−0.824508 | + | 0.565851i | \(0.808548\pi\) | |||||||
\(740\) | 21.5747 | − | 18.6853i | 0.793101 | − | 0.686887i | ||||
\(741\) | −9.06296 | + | 3.75400i | −0.332936 | + | 0.137907i | ||||
\(742\) | 34.5667 | − | 8.43349i | 1.26898 | − | 0.309603i | ||||
\(743\) | −23.1248 | − | 23.1248i | −0.848368 | − | 0.848368i | 0.141562 | − | 0.989929i | \(-0.454788\pi\) |
−0.989929 | + | 0.141562i | \(0.954788\pi\) | |||||||
\(744\) | 18.2196 | − | 19.0942i | 0.667963 | − | 0.700026i | ||||
\(745\) | −14.8330 | − | 55.3575i | −0.543439 | − | 2.02814i | ||||
\(746\) | 3.82476 | − | 8.37235i | 0.140034 | − | 0.306534i | ||||
\(747\) | 2.17860 | + | 1.67170i | 0.0797107 | + | 0.0611642i | ||||
\(748\) | 3.30571 | − | 16.0972i | 0.120869 | − | 0.588571i | ||||
\(749\) | −13.0346 | + | 23.2878i | −0.476274 | + | 0.850917i | ||||
\(750\) | 22.1423 | − | 11.7473i | 0.808521 | − | 0.428949i | ||||
\(751\) | 4.24592 | + | 7.35415i | 0.154936 | + | 0.268357i | 0.933036 | − | 0.359784i | \(-0.117150\pi\) |
−0.778100 | + | 0.628141i | \(0.783816\pi\) | |||||||
\(752\) | −2.91337 | + | 20.1930i | −0.106240 | + | 0.736361i | ||||
\(753\) | 10.7557 | + | 6.20978i | 0.391958 | + | 0.226297i | ||||
\(754\) | 11.7387 | − | 18.7476i | 0.427498 | − | 0.682748i | ||||
\(755\) | −4.98759 | + | 12.0411i | −0.181517 | + | 0.438221i | ||||
\(756\) | 25.0062 | + | 16.4519i | 0.909468 | + | 0.598351i | ||||
\(757\) | 19.3598 | − | 8.01908i | 0.703643 | − | 0.291458i | −0.00202838 | − | 0.999998i | \(-0.500646\pi\) |
0.705671 | + | 0.708540i | \(0.250646\pi\) | |||||||
\(758\) | 17.4285 | + | 24.4813i | 0.633033 | + | 0.889201i | ||||
\(759\) | 18.9148 | − | 5.06820i | 0.686563 | − | 0.183964i | ||||
\(760\) | 6.99425 | + | 44.9587i | 0.253708 | + | 1.63082i | ||||
\(761\) | 5.83148 | − | 21.7634i | 0.211391 | − | 0.788921i | −0.776015 | − | 0.630714i | \(-0.782762\pi\) |
0.987406 | − | 0.158207i | \(-0.0505713\pi\) | |||||||
\(762\) | 15.9880 | − | 19.3589i | 0.579184 | − | 0.701298i | ||||
\(763\) | 19.7698 | + | 19.2498i | 0.715713 | + | 0.696890i | ||||
\(764\) | −22.3509 | + | 33.0061i | −0.808627 | + | 1.19412i | ||||
\(765\) | 1.18046 | + | 8.96650i | 0.0426797 | + | 0.324184i | ||||
\(766\) | 36.6911 | − | 34.1523i | 1.32570 | − | 1.23397i | ||||
\(767\) | −11.4479 | − | 6.60945i | −0.413360 | − | 0.238653i | ||||
\(768\) | 17.6551 | + | 14.2559i | 0.637074 | + | 0.514414i | ||||
\(769\) | − | 17.5789i | − | 0.633912i | −0.948440 | − | 0.316956i | \(-0.897339\pi\) | ||
0.948440 | − | 0.316956i | \(-0.102661\pi\) | |||||||
\(770\) | 18.1804 | − | 41.2419i | 0.655176 | − | 1.48626i | ||||
\(771\) | −3.44116 | + | 8.30769i | −0.123930 | + | 0.299194i | ||||
\(772\) | 2.67029 | − | 37.2079i | 0.0961059 | − | 1.33914i | ||||
\(773\) | 1.90792 | − | 14.4921i | 0.0686229 | − | 0.521243i | −0.922265 | − | 0.386557i | \(-0.873664\pi\) |
0.990888 | − | 0.134686i | \(-0.0430025\pi\) | |||||||
\(774\) | −0.569985 | − | 1.52876i | −0.0204877 | − | 0.0549501i | ||||
\(775\) | 53.4606 | + | 14.3247i | 1.92036 | + | 0.514560i | ||||
\(776\) | −16.7914 | + | 13.5212i | −0.602775 | + | 0.485383i | ||||
\(777\) | −2.10150 | − | 14.4698i | −0.0753908 | − | 0.519102i | ||||
\(778\) | −0.400933 | − | 4.20418i | −0.0143741 | − | 0.150727i | ||||
\(779\) | −8.02790 | + | 10.4622i | −0.287629 | + | 0.374846i | ||||
\(780\) | −16.3292 | + | 0.968732i | −0.584679 | + | 0.0346862i | ||||
\(781\) | 6.36335 | + | 8.29287i | 0.227698 | + | 0.296742i | ||||
\(782\) | 12.5693 | + | 7.87017i | 0.449477 | + | 0.281437i | ||||
\(783\) | − | 56.1874i | − | 2.00797i | ||||||
\(784\) | 10.3451 | − | 26.0188i | 0.369469 | − | 0.929243i | ||||
\(785\) | − | 71.5935i | − | 2.55528i | ||||||
\(786\) | −10.1238 | + | 16.1686i | −0.361105 | + | 0.576713i | ||||
\(787\) | −13.1957 | − | 17.1970i | −0.470378 | − | 0.613008i | 0.496566 | − | 0.867999i | \(-0.334594\pi\) |
−0.966943 | + | 0.254991i | \(0.917927\pi\) | |||||||
\(788\) | 18.8671 | + | 16.7539i | 0.672114 | + | 0.596833i | ||||
\(789\) | −20.7891 | + | 27.0929i | −0.740112 | + | 0.964533i | ||||
\(790\) | 39.4811 | − | 3.76513i | 1.40468 | − | 0.133957i | ||||
\(791\) | −3.15301 | − | 21.7100i | −0.112108 | − | 0.771920i | ||||
\(792\) | −8.82498 | + | 2.58774i | −0.313582 | + | 0.0919513i | ||||
\(793\) | 18.5358 | + | 4.96665i | 0.658225 | + | 0.176371i | ||||
\(794\) | 33.9805 | − | 12.6694i | 1.20592 | − | 0.449619i | ||||
\(795\) | −6.44696 | + | 48.9695i | −0.228650 | + | 1.73677i | ||||
\(796\) | −15.9854 | − | 18.4572i | −0.566587 | − | 0.654199i | ||||
\(797\) | 1.42273 | − | 3.43477i | 0.0503956 | − | 0.121666i | −0.896677 | − | 0.442686i | \(-0.854026\pi\) |
0.947072 | + | 0.321020i | \(0.104026\pi\) | |||||||
\(798\) | 21.3288 | + | 9.40224i | 0.755032 | + | 0.332836i | ||||
\(799\) | 12.7415i | 0.450760i | ||||||||
\(800\) | −8.47788 | + | 46.8261i | −0.299738 | + | 1.65555i | ||||
\(801\) | 9.79963 | + | 5.65782i | 0.346253 | + | 0.199909i | ||||
\(802\) | 14.6543 | + | 15.7437i | 0.517462 | + | 0.555929i | ||||
\(803\) | −0.914084 | − | 6.94315i | −0.0322573 | − | 0.245019i | ||||
\(804\) | 37.8768 | − | 7.29057i | 1.33581 | − | 0.257118i | ||||
\(805\) | 29.1417 | + | 28.3753i | 1.02711 | + | 1.00010i | ||||
\(806\) | −11.2968 | − | 9.32977i | −0.397914 | − | 0.328627i | ||||
\(807\) | −4.20368 | + | 15.6884i | −0.147977 | + | 0.552256i | ||||
\(808\) | −16.9646 | + | 10.3320i | −0.596814 | + | 0.363477i | ||||
\(809\) | −17.9869 | + | 4.81957i | −0.632385 | + | 0.169447i | −0.560752 | − | 0.827984i | \(-0.689488\pi\) |
−0.0716333 | + | 0.997431i | \(0.522821\pi\) | |||||||
\(810\) | −21.3374 | + | 15.1904i | −0.749721 | + | 0.533736i | ||||
\(811\) | 3.58160 | − | 1.48355i | 0.125767 | − | 0.0520944i | −0.318912 | − | 0.947784i | \(-0.603318\pi\) |
0.444679 | + | 0.895690i | \(0.353318\pi\) | |||||||
\(812\) | −51.4748 | + | 10.6211i | −1.80641 | + | 0.372727i | ||||
\(813\) | 1.87366 | − | 4.52342i | 0.0657121 | − | 0.158643i | ||||
\(814\) | 15.3625 | + | 9.61914i | 0.538456 | + | 0.337151i | ||||
\(815\) | −18.0660 | − | 10.4304i | −0.632824 | − | 0.365361i | ||||
\(816\) | 12.1843 | + | 7.23732i | 0.426536 | + | 0.253357i | ||||
\(817\) | −2.56313 | − | 4.43947i | −0.0896726 | − | 0.155317i | ||||
\(818\) | 9.41960 | + | 17.7549i | 0.329348 | + | 0.620785i | ||||
\(819\) | 2.01153 | − | 3.59382i | 0.0702885 | − | 0.125578i | ||||
\(820\) | −18.3595 | + | 12.1036i | −0.641140 | + | 0.422675i | ||||
\(821\) | 3.68872 | + | 2.83046i | 0.128737 | + | 0.0987836i | 0.671123 | − | 0.741346i | \(-0.265812\pi\) |
−0.542386 | + | 0.840130i | \(0.682479\pi\) | |||||||
\(822\) | 17.0832 | + | 7.80414i | 0.595844 | + | 0.272201i | ||||
\(823\) | −14.2218 | − | 53.0765i | −0.495741 | − | 1.85013i | −0.525841 | − | 0.850583i | \(-0.676249\pi\) |
0.0301008 | − | 0.999547i | \(-0.490417\pi\) | |||||||
\(824\) | −3.58770 | − | 8.11803i | −0.124983 | − | 0.282805i | ||||
\(825\) | 27.7486 | + | 27.7486i | 0.966083 | + | 0.966083i | ||||
\(826\) | 7.44497 | + | 30.5150i | 0.259043 | + | 1.06175i | ||||
\(827\) | −27.3793 | + | 11.3409i | −0.952072 | + | 0.394361i | −0.804009 | − | 0.594617i | \(-0.797304\pi\) |
−0.148063 | + | 0.988978i | \(0.547304\pi\) | |||||||
\(828\) | 0.594091 | − | 8.27808i | 0.0206461 | − | 0.287683i | ||||
\(829\) | 26.4531 | + | 34.4743i | 0.918754 | + | 1.19734i | 0.979955 | + | 0.199218i | \(0.0638402\pi\) |
−0.0612012 | + | 0.998125i | \(0.519493\pi\) | |||||||
\(830\) | 9.80252 | + | 10.5312i | 0.340250 | + | 0.365544i | ||||
\(831\) | 4.27618 | + | 7.40657i | 0.148339 | + | 0.256931i | ||||
\(832\) | 7.19215 | − | 10.3425i | 0.249343 | − | 0.358561i | ||||
\(833\) | 4.07416 | − | 17.0053i | 0.141161 | − | 0.589198i | ||||
\(834\) | 15.4982 | + | 4.75380i | 0.536660 | + | 0.164611i | ||||
\(835\) | −19.6258 | + | 2.58379i | −0.679179 | + | 0.0894156i | ||||
\(836\) | −25.9938 | + | 12.6192i | −0.899015 | + | 0.436443i | ||||
\(837\) | −36.8987 | − | 4.85781i | −1.27541 | − | 0.167910i | ||||
\(838\) | 2.09586 | − | 12.4543i | 0.0724004 | − | 0.430228i | ||||
\(839\) | −24.0832 | + | 24.0832i | −0.831445 | + | 0.831445i | −0.987714 | − | 0.156270i | \(-0.950053\pi\) |
0.156270 | + | 0.987714i | \(0.450053\pi\) | |||||||
\(840\) | 28.4759 | + | 26.4558i | 0.982512 | + | 0.912812i | ||||
\(841\) | 49.2566 | + | 49.2566i | 1.69850 | + | 1.69850i | ||||
\(842\) | −5.72407 | + | 4.07504i | −0.197265 | + | 0.140435i | ||||
\(843\) | 2.89454 | − | 21.9862i | 0.0996931 | − | 0.757244i | ||||
\(844\) | 14.1832 | − | 0.841422i | 0.488207 | − | 0.0289629i | ||||
\(845\) | −5.02901 | − | 38.1991i | −0.173003 | − | 1.31409i | ||||
\(846\) | 6.29899 | − | 3.34184i | 0.216564 | − | 0.114895i | ||||
\(847\) | −0.476832 | − | 0.0563232i | −0.0163841 | − | 0.00193529i | ||||
\(848\) | −26.5612 | − | 27.2276i | −0.912114 | − | 0.934998i | ||||
\(849\) | 30.1111 | − | 17.3847i | 1.03341 | − | 0.596640i | ||||
\(850\) | −1.06437 | + | 29.7002i | −0.0365078 | + | 1.01871i | ||||
\(851\) | −12.9771 | + | 9.95767i | −0.444849 | + | 0.341344i | ||||
\(852\) | −8.55384 | + | 2.84467i | −0.293050 | + | 0.0974569i | ||||
\(853\) | −3.25138 | − | 7.84953i | −0.111325 | − | 0.268763i | 0.858392 | − | 0.512995i | \(-0.171464\pi\) |
−0.969717 | + | 0.244232i | \(0.921464\pi\) | |||||||
\(854\) | −21.9047 | − | 39.9914i | −0.749562 | − | 1.36848i | ||||
\(855\) | 11.2446 | − | 11.2446i | 0.384556 | − | 0.384556i | ||||
\(856\) | 28.5223 | − | 0.668505i | 0.974871 | − | 0.0228490i | ||||
\(857\) | 31.3802 | − | 8.40829i | 1.07193 | − | 0.287222i | 0.320642 | − | 0.947201i | \(-0.396101\pi\) |
0.751284 | + | 0.659979i | \(0.229435\pi\) | |||||||
\(858\) | −3.62915 | − | 9.73376i | −0.123897 | − | 0.332305i | ||||
\(859\) | 11.0416 | − | 14.3896i | 0.376733 | − | 0.490968i | −0.566052 | − | 0.824370i | \(-0.691530\pi\) |
0.942785 | + | 0.333402i | \(0.108196\pi\) | |||||||
\(860\) | −1.61571 | − | 8.39410i | −0.0550951 | − | 0.286237i | ||||
\(861\) | 0.150106 | + | 11.2645i | 0.00511561 | + | 0.383893i | ||||
\(862\) | 14.5886 | + | 4.47479i | 0.496889 | + | 0.152412i | ||||
\(863\) | −14.7087 | + | 8.49205i | −0.500689 | + | 0.289073i | −0.728998 | − | 0.684516i | \(-0.760014\pi\) |
0.228309 | + | 0.973589i | \(0.426680\pi\) | |||||||
\(864\) | 1.54211 | − | 31.9624i | 0.0524638 | − | 1.08738i | ||||
\(865\) | −42.1280 | + | 72.9678i | −1.43239 | + | 2.48098i | ||||
\(866\) | −10.8356 | − | 47.1310i | −0.368210 | − | 1.60158i | ||||
\(867\) | −14.0983 | − | 5.83972i | −0.478804 | − | 0.198327i | ||||
\(868\) | 2.52459 | + | 34.7222i | 0.0856902 | + | 1.17855i | ||||
\(869\) | 9.63855 | + | 23.2695i | 0.326966 | + | 0.789365i | ||||
\(870\) | 12.1079 | − | 71.9495i | 0.410497 | − | 2.43931i | ||||
\(871\) | −5.54210 | − | 20.6834i | −0.187787 | − | 0.700831i | ||||
\(872\) | 6.96507 | − | 28.6646i | 0.235867 | − | 0.970705i | ||||
\(873\) | 7.27806 | + | 1.95015i | 0.246325 | + | 0.0660026i | ||||
\(874\) | −2.47552 | − | 25.9583i | −0.0837358 | − | 0.878053i | ||||
\(875\) | −8.13127 | + | 32.0485i | −0.274887 | + | 1.08344i | ||||
\(876\) | 5.91588 | + | 1.21488i | 0.199879 | + | 0.0410471i | ||||
\(877\) | −1.78979 | + | 0.235630i | −0.0604368 | + | 0.00795665i | −0.160684 | − | 0.987006i | \(-0.551370\pi\) |
0.100247 | + | 0.994963i | \(0.468037\pi\) | |||||||
\(878\) | −22.1098 | − | 0.792357i | −0.746171 | − | 0.0267408i | ||||
\(879\) | 6.72950 | − | 11.6558i | 0.226980 | − | 0.393142i | ||||
\(880\) | −47.8453 | + | 5.69691i | −1.61287 | + | 0.192043i | ||||
\(881\) | −21.0674 | −0.709777 | −0.354889 | − | 0.934909i | \(-0.615481\pi\) | ||||
−0.354889 | + | 0.934909i | \(0.615481\pi\) | |||||||
\(882\) | −9.47548 | + | 2.44602i | −0.319056 | + | 0.0823618i | ||||
\(883\) | −8.63293 | − | 3.57588i | −0.290521 | − | 0.120338i | 0.232663 | − | 0.972557i | \(-0.425256\pi\) |
−0.523184 | + | 0.852220i | \(0.675256\pi\) | |||||||
\(884\) | 3.52326 | − | 7.03428i | 0.118500 | − | 0.236588i | ||||
\(885\) | −43.2296 | − | 5.69128i | −1.45315 | − | 0.191310i | ||||
\(886\) | 2.66805 | − | 5.84033i | 0.0896350 | − | 0.196210i | ||||
\(887\) | −11.3076 | + | 42.2005i | −0.379671 | + | 1.41695i | 0.466726 | + | 0.884402i | \(0.345433\pi\) |
−0.846398 | + | 0.532551i | \(0.821233\pi\) | |||||||
\(888\) | −12.1747 | + | 9.80363i | −0.408556 | + | 0.328988i | ||||
\(889\) | 4.76007 | + | 32.7754i | 0.159648 | + | 1.09925i | ||||
\(890\) | 45.7118 | + | 37.7522i | 1.53226 | + | 1.26546i | ||||
\(891\) | −13.1964 | − | 10.1260i | −0.442096 | − | 0.339233i | ||||
\(892\) | 16.8682 | − | 8.18900i | 0.564791 | − | 0.274188i | ||||
\(893\) | 17.7742 | − | 13.6386i | 0.594790 | − | 0.456398i | ||||
\(894\) | 7.03255 | + | 30.5890i | 0.235204 | + | 1.02305i | ||||
\(895\) | 64.7455 | 2.16420 | ||||||||
\(896\) | −29.5732 | + | 4.62908i | −0.987970 | + | 0.154647i | ||||
\(897\) | 9.37484 | 0.313017 | ||||||||
\(898\) | 0.419453 | + | 1.82447i | 0.0139973 | + | 0.0608833i | ||||
\(899\) | 51.8452 | − | 39.7822i | 1.72913 | − | 1.32681i | ||||
\(900\) | 14.9620 | − | 7.26359i | 0.498735 | − | 0.242120i | ||||
\(901\) | −18.8461 | − | 14.4611i | −0.627855 | − | 0.481770i | ||||
\(902\) | −10.7677 | − | 8.89277i | −0.358525 | − | 0.296097i | ||||
\(903\) | −4.06783 | − | 1.62179i | −0.135369 | − | 0.0539699i | ||||
\(904\) | −18.2665 | + | 14.7090i | −0.607534 | + | 0.489215i | ||||
\(905\) | 22.1893 | − | 82.8117i | 0.737599 | − | 2.75276i | ||||
\(906\) | 2.96597 | − | 6.49248i | 0.0985378 | − | 0.215698i | ||||
\(907\) | 13.1929 | + | 1.73688i | 0.438064 | + | 0.0576722i | 0.346333 | − | 0.938112i | \(-0.387427\pi\) |
0.0917310 | + | 0.995784i | \(0.470760\pi\) | |||||||
\(908\) | 2.78129 | − | 5.55292i | 0.0923003 | − | 0.184280i | ||||
\(909\) | 6.41383 | + | 2.65669i | 0.212733 | + | 0.0881170i | ||||
\(910\) | 13.5175 | − | 16.8190i | 0.448100 | − | 0.557544i | ||||
\(911\) | 28.0678 | 0.929928 | 0.464964 | − | 0.885329i | \(-0.346067\pi\) | ||||
0.464964 | + | 0.885329i | \(0.346067\pi\) | |||||||
\(912\) | −2.94623 | − | 24.7438i | −0.0975595 | − | 0.819351i | ||||
\(913\) | −4.56844 | + | 7.91276i | −0.151193 | + | 0.261874i | ||||
\(914\) | −30.0598 | − | 1.07726i | −0.994288 | − | 0.0356326i | ||||
\(915\) | 62.7556 | − | 8.26194i | 2.07464 | − | 0.273131i | ||||
\(916\) | −6.33554 | − | 1.30106i | −0.209332 | − | 0.0429883i | ||||
\(917\) | −6.83620 | − | 24.2175i | −0.225751 | − | 0.799734i | ||||
\(918\) | −1.89720 | − | 19.8941i | −0.0626171 | − | 0.656603i | ||||
\(919\) | −42.1715 | − | 11.2998i | −1.39111 | − | 0.372746i | −0.515965 | − | 0.856610i | \(-0.672566\pi\) |
−0.875144 | + | 0.483863i | \(0.839233\pi\) | |||||||
\(920\) | 10.2669 | − | 42.2532i | 0.338490 | − | 1.39305i | ||||
\(921\) | −5.80092 | − | 21.6493i | −0.191147 | − | 0.713370i | ||||
\(922\) | −7.51586 | + | 44.6618i | −0.247522 | + | 1.47086i | ||||
\(923\) | 1.91507 | + | 4.62339i | 0.0630353 | + | 0.152181i | ||||
\(924\) | −10.7594 | + | 22.2158i | −0.353958 | + | 0.730847i | ||||
\(925\) | −30.2848 | − | 12.5444i | −0.995758 | − | 0.412456i | ||||
\(926\) | −3.52010 | − | 15.3112i | −0.115678 | − | 0.503156i | ||||
\(927\) | −1.55100 | + | 2.68642i | −0.0509417 | + | 0.0882335i | ||||
\(928\) | 37.7701 | + | 41.5995i | 1.23986 | + | 1.36557i | ||||
\(929\) | −25.5550 | + | 14.7542i | −0.838434 | + | 0.484070i | −0.856731 | − | 0.515763i | \(-0.827509\pi\) |
0.0182979 | + | 0.999833i | \(0.494175\pi\) | |||||||
\(930\) | −46.2030 | − | 14.1719i | −1.51506 | − | 0.464716i | ||||
\(931\) | −28.0832 | + | 12.5193i | −0.920389 | + | 0.410302i | ||||
\(932\) | −2.70098 | − | 14.0325i | −0.0884736 | − | 0.459649i | ||||
\(933\) | 17.5986 | − | 22.9349i | 0.576151 | − | 0.750855i | ||||
\(934\) | 4.06092 | + | 10.8918i | 0.132878 | + | 0.356391i | ||||
\(935\) | −29.0660 | + | 7.78822i | −0.950561 | + | 0.254702i | ||||
\(936\) | −4.40162 | + | 0.103165i | −0.143871 | + | 0.00337206i | ||||
\(937\) | 18.1215 | − | 18.1215i | 0.592003 | − | 0.592003i | −0.346169 | − | 0.938172i | \(-0.612518\pi\) |
0.938172 | + | 0.346169i | \(0.112518\pi\) | |||||||
\(938\) | −26.4251 | + | 43.4804i | −0.862809 | + | 1.41969i | ||||
\(939\) | −2.61939 | − | 6.32376i | −0.0854804 | − | 0.206368i | ||||
\(940\) | 35.4501 | − | 11.7893i | 1.15626 | − | 0.384525i | ||||
\(941\) | 3.40535 | − | 2.61301i | 0.111011 | − | 0.0851818i | −0.551764 | − | 0.834000i | \(-0.686045\pi\) |
0.662775 | + | 0.748818i | \(0.269378\pi\) | |||||||
\(942\) | −1.40426 | + | 39.1843i | −0.0457533 | + | 1.27669i | ||||
\(943\) | 10.9143 | − | 6.30136i | 0.355418 | − | 0.205200i | ||||
\(944\) | 24.0361 | − | 23.4478i | 0.782308 | − | 0.763162i | ||||
\(945\) | 6.42961 | − | 54.4330i | 0.209155 | − | 1.77071i | ||||
\(946\) | 4.79553 | − | 2.54420i | 0.155916 | − | 0.0827191i | ||||
\(947\) | 4.12661 | + | 31.3447i | 0.134097 | + | 1.01857i | 0.917692 | + | 0.397293i | \(0.130050\pi\) |
−0.783595 | + | 0.621272i | \(0.786616\pi\) | |||||||
\(948\) | −21.6826 | + | 1.28632i | −0.704217 | + | 0.0417778i | ||||
\(949\) | 0.437615 | − | 3.32402i | 0.0142056 | − | 0.107902i | ||||
\(950\) | 42.5707 | − | 30.3066i | 1.38118 | − | 0.983276i | ||||
\(951\) | −29.3841 | − | 29.3841i | −0.952843 | − | 0.952843i | ||||
\(952\) | −17.8669 | + | 5.49866i | −0.579069 | + | 0.178213i | ||||
\(953\) | −42.9433 | + | 42.9433i | −1.39107 | + | 1.39107i | −0.568131 | + | 0.822938i | \(0.692333\pi\) |
−0.822938 | + | 0.568131i | \(0.807667\pi\) | |||||||
\(954\) | −2.20617 | + | 13.1098i | −0.0714275 | + | 0.424446i | ||||
\(955\) | 72.3682 | + | 9.52746i | 2.34178 | + | 0.308301i | ||||
\(956\) | 14.8903 | − | 7.22878i | 0.481588 | − | 0.233796i | ||||
\(957\) | 45.9385 | − | 6.04792i | 1.48498 | − | 0.195501i | ||||
\(958\) | −10.8136 | − | 3.31689i | −0.349373 | − | 0.107164i | ||||
\(959\) | −22.7603 | + | 9.78495i | −0.734970 | + | 0.315972i | ||||
\(960\) | 8.86237 | − | 40.5964i | 0.286032 | − | 1.31024i | ||||
\(961\) | −6.14293 | − | 10.6399i | −0.198159 | − | 0.343222i | ||||
\(962\) | 5.91227 | + | 6.35178i | 0.190619 | + | 0.204789i | ||||
\(963\) | −6.07019 | − | 7.91082i | −0.195609 | − | 0.254923i | ||||
\(964\) | −2.63066 | + | 36.6556i | −0.0847277 | + | 1.18060i | ||||
\(965\) | −63.1085 | + | 26.1404i | −2.03154 | + | 0.841490i | ||||
\(966\) | −15.3932 | − | 16.1019i | −0.495268 | − | 0.518069i | ||||
\(967\) | −8.45895 | − | 8.45895i | −0.272022 | − | 0.272022i | 0.557892 | − | 0.829914i | \(-0.311610\pi\) |
−0.829914 | + | 0.557892i | \(0.811610\pi\) | |||||||
\(968\) | 0.207489 | + | 0.469493i | 0.00666894 | + | 0.0150901i | ||||
\(969\) | −4.02778 | − | 15.0319i | −0.129391 | − | 0.482894i | ||||
\(970\) | 35.9074 | + | 16.4037i | 1.15292 | + | 0.526690i | ||||
\(971\) | −10.8563 | − | 8.33035i | −0.348396 | − | 0.267334i | 0.419707 | − | 0.907659i | \(-0.362133\pi\) |
−0.768103 | + | 0.640326i | \(0.778799\pi\) | |||||||
\(972\) | −16.3606 | + | 10.7858i | −0.524768 | + | 0.345956i | ||||
\(973\) | −18.3749 | + | 10.9377i | −0.589071 | + | 0.350648i | ||||
\(974\) | −12.7694 | − | 24.0689i | −0.409159 | − | 0.771218i | ||||
\(975\) | 9.39361 | + | 16.2702i | 0.300836 | + | 0.521064i | ||||
\(976\) | −24.8940 | + | 41.9099i | −0.796836 | + | 1.34150i | ||||
\(977\) | 1.86570 | + | 1.07716i | 0.0596890 | + | 0.0344615i | 0.529548 | − | 0.848280i | \(-0.322362\pi\) |
−0.469859 | + | 0.882742i | \(0.655695\pi\) | |||||||
\(978\) | 9.68324 | + | 6.06309i | 0.309636 | + | 0.193876i | ||||
\(979\) | −14.4081 | + | 34.7842i | −0.460484 | + | 1.11171i | ||||
\(980\) | −51.0829 | + | 4.39913i | −1.63178 | + | 0.140525i | ||||
\(981\) | −9.52508 | + | 3.94542i | −0.304112 | + | 0.125968i | ||||
\(982\) | 7.32552 | − | 5.21513i | 0.233767 | − | 0.166421i | ||||
\(983\) | 37.8069 | − | 10.1303i | 1.20585 | − | 0.323107i | 0.400720 | − | 0.916201i | \(-0.368760\pi\) |
0.805134 | + | 0.593093i | \(0.202093\pi\) | |||||||
\(984\) | 10.2859 | − | 6.26439i | 0.327901 | − | 0.199701i | ||||
\(985\) | 11.9584 | − | 44.6294i | 0.381026 | − | 1.42201i | ||||
\(986\) | 27.0562 | + | 22.3451i | 0.861646 | + | 0.711612i | ||||
\(987\) | 4.70676 | − | 18.5512i | 0.149818 | − | 0.590490i | ||||
\(988\) | −13.5841 | + | 2.61467i | −0.432167 | + | 0.0831839i | ||||
\(989\) | 0.639452 | + | 4.85712i | 0.0203334 | + | 0.154447i | ||||
\(990\) | 11.4737 | + | 12.3267i | 0.364659 | + | 0.391767i | ||||
\(991\) | −37.5258 | − | 21.6655i | −1.19205 | − | 0.688229i | −0.233277 | − | 0.972410i | \(-0.574945\pi\) |
−0.958770 | + | 0.284182i | \(0.908278\pi\) | |||||||
\(992\) | 30.5842 | − | 21.2074i | 0.971051 | − | 0.673334i | ||||
\(993\) | 34.0935i | 1.08193i | ||||||||
\(994\) | 4.79647 | − | 10.8807i | 0.152135 | − | 0.345115i | ||||
\(995\) | −17.1103 | + | 41.3080i | −0.542434 | + | 1.30955i | ||||
\(996\) | −5.15852 | − | 5.95619i | −0.163454 | − | 0.188729i | ||||
\(997\) | −2.07774 | + | 15.7820i | −0.0658028 | + | 0.499822i | 0.926529 | + | 0.376222i | \(0.122777\pi\) |
−0.992332 | + | 0.123599i | \(0.960556\pi\) | |||||||
\(998\) | 15.0634 | − | 5.61628i | 0.476825 | − | 0.177780i | ||||
\(999\) | 21.2915 | + | 5.70503i | 0.673632 | + | 0.180499i |
(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 | 224.2.be.a.3.17 | ✓ | 240 | |
4.3 | odd | 2 | 896.2.bi.a.815.22 | 240 | |||
7.5 | odd | 6 | inner | 224.2.be.a.131.24 | yes | 240 | |
28.19 | even | 6 | 896.2.bi.a.47.9 | 240 | |||
32.11 | odd | 8 | inner | 224.2.be.a.171.24 | yes | 240 | |
32.21 | even | 8 | 896.2.bi.a.591.9 | 240 | |||
224.75 | even | 24 | inner | 224.2.be.a.75.17 | yes | 240 | |
224.117 | odd | 24 | 896.2.bi.a.719.22 | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
224.2.be.a.3.17 | ✓ | 240 | 1.1 | even | 1 | trivial | |
224.2.be.a.75.17 | yes | 240 | 224.75 | even | 24 | inner | |
224.2.be.a.131.24 | yes | 240 | 7.5 | odd | 6 | inner | |
224.2.be.a.171.24 | yes | 240 | 32.11 | odd | 8 | inner | |
896.2.bi.a.47.9 | 240 | 28.19 | even | 6 | |||
896.2.bi.a.591.9 | 240 | 32.21 | even | 8 | |||
896.2.bi.a.719.22 | 240 | 224.117 | odd | 24 | |||
896.2.bi.a.815.22 | 240 | 4.3 | odd | 2 |