Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [525,2,Mod(59,525)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(525, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([15, 21, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("525.59");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 525 = 3 \cdot 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 525.bp (of order \(30\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.19214610612\) |
Analytic rank: | \(0\) |
Dimension: | \(608\) |
Relative dimension: | \(76\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 59.18 | ||
Character | \(\chi\) | \(=\) | 525.59 |
Dual form | 525.2.bp.a.89.18 |
$q$-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 \(\left(\mathbb{Z}/525\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(176\) | \(451\) |
\(\chi(n)\) | \(e\left(\frac{7}{10}\right)\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.176872 | + | 1.68282i | −0.125067 | + | 1.18994i | 0.734389 | + | 0.678728i | \(0.237469\pi\) |
−0.859457 | + | 0.511208i | \(0.829198\pi\) | |||||||
\(3\) | −1.68990 | + | 0.379800i | −0.975662 | + | 0.219278i | ||||
\(4\) | −0.844320 | − | 0.179466i | −0.422160 | − | 0.0897329i | ||||
\(5\) | −2.01435 | + | 0.970779i | −0.900843 | + | 0.434146i | ||||
\(6\) | −0.340242 | − | 2.91098i | −0.138903 | − | 1.18840i | ||||
\(7\) | 0.713523 | + | 2.54772i | 0.269686 | + | 0.962948i | ||||
\(8\) | −0.594426 | + | 1.82945i | −0.210161 | + | 0.646810i | ||||
\(9\) | 2.71150 | − | 1.28365i | 0.903834 | − | 0.427882i | ||||
\(10\) | −1.27737 | − | 3.56149i | −0.403940 | − | 1.12624i | ||||
\(11\) | 2.53388 | + | 5.69118i | 0.763992 | + | 1.71596i | 0.695747 | + | 0.718287i | \(0.255073\pi\) |
0.0682452 | + | 0.997669i | \(0.478260\pi\) | |||||||
\(12\) | 1.49498 | − | 0.0173944i | 0.431562 | − | 0.00502133i | ||||
\(13\) | −0.632739 | + | 0.459712i | −0.175490 | + | 0.127501i | −0.672063 | − | 0.740494i | \(-0.734592\pi\) |
0.496573 | + | 0.867995i | \(0.334592\pi\) | |||||||
\(14\) | −4.41357 | + | 0.750113i | −1.17958 | + | 0.200476i | ||||
\(15\) | 3.03533 | − | 2.40557i | 0.783720 | − | 0.621114i | ||||
\(16\) | −4.55063 | − | 2.02607i | −1.13766 | − | 0.506517i | ||||
\(17\) | −3.31322 | + | 2.98324i | −0.803574 | + | 0.723541i | −0.964688 | − | 0.263395i | \(-0.915158\pi\) |
0.161115 | + | 0.986936i | \(0.448491\pi\) | |||||||
\(18\) | 1.68056 | + | 4.79003i | 0.396113 | + | 1.12902i | ||||
\(19\) | −1.36425 | − | 6.41830i | −0.312981 | − | 1.47246i | −0.800492 | − | 0.599343i | \(-0.795429\pi\) |
0.487512 | − | 0.873117i | \(-0.337905\pi\) | |||||||
\(20\) | 1.87497 | − | 0.458143i | 0.419257 | − | 0.102444i | ||||
\(21\) | −2.17341 | − | 4.03439i | −0.474276 | − | 0.880376i | ||||
\(22\) | −10.0254 | + | 3.25746i | −2.13743 | + | 0.694493i | ||||
\(23\) | 0.812895 | − | 7.73418i | 0.169500 | − | 1.61269i | −0.497386 | − | 0.867529i | \(-0.665707\pi\) |
0.666887 | − | 0.745159i | \(-0.267627\pi\) | |||||||
\(24\) | 0.309691 | − | 3.31735i | 0.0632154 | − | 0.677152i | ||||
\(25\) | 3.11517 | − | 3.91097i | 0.623035 | − | 0.782194i | ||||
\(26\) | −0.661701 | − | 1.14610i | −0.129770 | − | 0.224769i | ||||
\(27\) | −4.09463 | + | 3.19906i | −0.788012 | + | 0.615660i | ||||
\(28\) | −0.145213 | − | 2.27915i | −0.0274426 | − | 0.430718i | ||||
\(29\) | 1.39465 | − | 0.453149i | 0.258980 | − | 0.0841476i | −0.176650 | − | 0.984274i | \(-0.556526\pi\) |
0.435629 | + | 0.900126i | \(0.356526\pi\) | |||||||
\(30\) | 3.51128 | + | 5.53341i | 0.641069 | + | 1.01026i | ||||
\(31\) | −0.0803327 | + | 0.0723319i | −0.0144282 | + | 0.0129912i | −0.676313 | − | 0.736614i | \(-0.736423\pi\) |
0.661885 | + | 0.749605i | \(0.269757\pi\) | |||||||
\(32\) | 2.29080 | − | 3.96778i | 0.404959 | − | 0.701410i | ||||
\(33\) | −6.44350 | − | 8.65514i | −1.12167 | − | 1.50667i | ||||
\(34\) | −4.43425 | − | 6.10322i | −0.760467 | − | 1.04669i | ||||
\(35\) | −3.91056 | − | 4.43932i | −0.661005 | − | 0.750382i | ||||
\(36\) | −2.51975 | + | 0.597187i | −0.419958 | + | 0.0995311i | ||||
\(37\) | −0.637569 | + | 1.43200i | −0.104816 | + | 0.235420i | −0.958338 | − | 0.285636i | \(-0.907795\pi\) |
0.853522 | + | 0.521056i | \(0.174462\pi\) | |||||||
\(38\) | 11.0422 | − | 1.16058i | 1.79128 | − | 0.188271i | ||||
\(39\) | 0.894665 | − | 1.01718i | 0.143261 | − | 0.162879i | ||||
\(40\) | −0.578618 | − | 4.26221i | −0.0914875 | − | 0.673914i | ||||
\(41\) | −0.242285 | + | 0.176030i | −0.0378386 | + | 0.0274913i | −0.606544 | − | 0.795050i | \(-0.707445\pi\) |
0.568705 | + | 0.822541i | \(0.307445\pi\) | |||||||
\(42\) | 7.17359 | − | 2.94389i | 1.10691 | − | 0.454252i | ||||
\(43\) | 9.62799i | 1.46825i | 0.679012 | + | 0.734127i | \(0.262408\pi\) | ||||
−0.679012 | + | 0.734127i | \(0.737592\pi\) | |||||||
\(44\) | −1.11803 | − | 5.25992i | −0.168550 | − | 0.792963i | ||||
\(45\) | −4.21577 | + | 5.21798i | −0.628449 | + | 0.777850i | ||||
\(46\) | 12.8715 | + | 2.73592i | 1.89780 | + | 0.403389i | ||||
\(47\) | 5.34829 | + | 4.81562i | 0.780128 | + | 0.702431i | 0.959611 | − | 0.281330i | \(-0.0907757\pi\) |
−0.179483 | + | 0.983761i | \(0.557442\pi\) | |||||||
\(48\) | 8.45959 | + | 1.69552i | 1.22104 | + | 0.244727i | ||||
\(49\) | −5.98177 | + | 3.63571i | −0.854539 | + | 0.519388i | ||||
\(50\) | 6.03049 | + | 5.93403i | 0.852840 | + | 0.839199i | ||||
\(51\) | 4.46596 | − | 6.29972i | 0.625360 | − | 0.882138i | ||||
\(52\) | 0.616737 | − | 0.274589i | 0.0855260 | − | 0.0380786i | ||||
\(53\) | −10.4153 | − | 2.21384i | −1.43065 | − | 0.304094i | −0.573518 | − | 0.819193i | \(-0.694422\pi\) |
−0.857131 | + | 0.515099i | \(0.827755\pi\) | |||||||
\(54\) | −4.65923 | − | 7.45637i | −0.634041 | − | 1.01468i | ||||
\(55\) | −10.6290 | − | 9.00417i | −1.43321 | − | 1.21412i | ||||
\(56\) | −5.08508 | − | 0.209074i | −0.679522 | − | 0.0279387i | ||||
\(57\) | 4.74312 | + | 10.3281i | 0.628241 | + | 1.36799i | ||||
\(58\) | 0.515895 | + | 2.42710i | 0.0677404 | + | 0.318693i | ||||
\(59\) | 0.0369283 | + | 0.351350i | 0.00480766 | + | 0.0457418i | 0.996663 | − | 0.0816299i | \(-0.0260125\pi\) |
−0.991855 | + | 0.127372i | \(0.959346\pi\) | |||||||
\(60\) | −2.99451 | + | 1.48633i | −0.386590 | + | 0.191884i | ||||
\(61\) | 5.99132 | + | 0.629713i | 0.767110 | + | 0.0806265i | 0.479997 | − | 0.877270i | \(-0.340638\pi\) |
0.287113 | + | 0.957897i | \(0.407304\pi\) | |||||||
\(62\) | −0.107513 | − | 0.147979i | −0.0136542 | − | 0.0187934i | ||||
\(63\) | 5.20509 | + | 5.99224i | 0.655780 | + | 0.754952i | ||||
\(64\) | −1.78799 | − | 1.29905i | −0.223498 | − | 0.162381i | ||||
\(65\) | 0.828276 | − | 1.54027i | 0.102735 | − | 0.191047i | ||||
\(66\) | 15.7048 | − | 9.31243i | 1.93312 | − | 1.14628i | ||||
\(67\) | 3.62217 | − | 3.26142i | 0.442519 | − | 0.398446i | −0.417525 | − | 0.908665i | \(-0.637102\pi\) |
0.860044 | + | 0.510219i | \(0.170436\pi\) | |||||||
\(68\) | 3.33281 | − | 1.92420i | 0.404162 | − | 0.233343i | ||||
\(69\) | 1.56374 | + | 13.3787i | 0.188252 | + | 1.61061i | ||||
\(70\) | 8.16226 | − | 5.79559i | 0.975577 | − | 0.692706i | ||||
\(71\) | −2.91967 | + | 0.948657i | −0.346501 | + | 0.112585i | −0.477097 | − | 0.878851i | \(-0.658311\pi\) |
0.130596 | + | 0.991436i | \(0.458311\pi\) | |||||||
\(72\) | 0.736586 | + | 5.72360i | 0.0868075 | + | 0.674533i | ||||
\(73\) | 5.91080 | − | 2.63166i | 0.691807 | − | 0.308012i | −0.0305496 | − | 0.999533i | \(-0.509726\pi\) |
0.722356 | + | 0.691521i | \(0.243059\pi\) | |||||||
\(74\) | −2.29704 | − | 1.32620i | −0.267026 | − | 0.154167i | ||||
\(75\) | −3.77894 | + | 7.79228i | −0.436354 | + | 0.899775i | ||||
\(76\) | 5.66394i | 0.649698i | ||||||||
\(77\) | −12.6916 | + | 10.5164i | −1.44634 | + | 1.19845i | ||||
\(78\) | 1.55350 | + | 1.68548i | 0.175899 | + | 0.190843i | ||||
\(79\) | 3.32440 | − | 3.69212i | 0.374024 | − | 0.415396i | −0.526518 | − | 0.850164i | \(-0.676503\pi\) |
0.900543 | + | 0.434768i | \(0.143170\pi\) | |||||||
\(80\) | 11.1334 | − | 0.336451i | 1.24475 | − | 0.0376163i | ||||
\(81\) | 5.70450 | − | 6.96123i | 0.633834 | − | 0.773470i | ||||
\(82\) | −0.253375 | − | 0.438858i | −0.0279806 | − | 0.0484638i | ||||
\(83\) | −0.102042 | − | 0.0331553i | −0.0112005 | − | 0.00363927i | 0.303411 | − | 0.952860i | \(-0.401874\pi\) |
−0.314612 | + | 0.949220i | \(0.601874\pi\) | |||||||
\(84\) | 1.11101 | + | 3.79637i | 0.121222 | + | 0.414218i | ||||
\(85\) | 3.77790 | − | 9.22567i | 0.409771 | − | 1.00066i | ||||
\(86\) | −16.2022 | − | 1.70292i | −1.74713 | − | 0.183631i | ||||
\(87\) | −2.18470 | + | 1.29546i | −0.234225 | + | 0.138888i | ||||
\(88\) | −11.9180 | + | 1.25263i | −1.27046 | + | 0.133531i | ||||
\(89\) | 0.203898 | − | 1.93996i | 0.0216131 | − | 0.205635i | −0.978386 | − | 0.206786i | \(-0.933700\pi\) |
0.999999 | + | 0.00115077i | \(0.000366301\pi\) | |||||||
\(90\) | −8.03529 | − | 8.01731i | −0.846994 | − | 0.845099i | ||||
\(91\) | −1.62269 | − | 1.28403i | −0.170104 | − | 0.134603i | ||||
\(92\) | −2.07437 | + | 6.38424i | −0.216268 | + | 0.665603i | ||||
\(93\) | 0.108282 | − | 0.152744i | 0.0112284 | − | 0.0158388i | ||||
\(94\) | −9.04981 | + | 8.14849i | −0.933417 | + | 0.840452i | ||||
\(95\) | 8.97883 | + | 11.6043i | 0.921208 | + | 1.19057i | ||||
\(96\) | −2.36425 | + | 7.57518i | −0.241300 | + | 0.773138i | ||||
\(97\) | 1.96975 | + | 6.06226i | 0.199998 | + | 0.615530i | 0.999882 | + | 0.0153752i | \(0.00489426\pi\) |
−0.799884 | + | 0.600155i | \(0.795106\pi\) | |||||||
\(98\) | −5.06026 | − | 10.7093i | −0.511164 | − | 1.08181i | ||||
\(99\) | 14.1761 | + | 12.1791i | 1.42475 | + | 1.22404i | ||||
\(100\) | −3.33209 | + | 2.74304i | −0.333209 | + | 0.274304i | ||||
\(101\) | −6.42281 | + | 11.1246i | −0.639094 | + | 1.10694i | 0.346538 | + | 0.938036i | \(0.387357\pi\) |
−0.985632 | + | 0.168907i | \(0.945976\pi\) | |||||||
\(102\) | 9.81142 | + | 8.62968i | 0.971476 | + | 0.854466i | ||||
\(103\) | 1.33459 | − | 1.48221i | 0.131501 | − | 0.146046i | −0.673798 | − | 0.738915i | \(-0.735338\pi\) |
0.805299 | + | 0.592869i | \(0.202005\pi\) | |||||||
\(104\) | −0.464905 | − | 1.43083i | −0.0455877 | − | 0.140305i | ||||
\(105\) | 8.29449 | + | 6.01676i | 0.809460 | + | 0.587176i | ||||
\(106\) | 5.56767 | − | 17.1355i | 0.540780 | − | 1.66435i | ||||
\(107\) | −5.55224 | − | 9.61676i | −0.536755 | − | 0.929688i | −0.999076 | − | 0.0429750i | \(-0.986316\pi\) |
0.462321 | − | 0.886713i | \(-0.347017\pi\) | |||||||
\(108\) | 4.03130 | − | 1.96619i | 0.387912 | − | 0.189196i | ||||
\(109\) | 2.05324 | + | 19.5353i | 0.196665 | + | 1.87114i | 0.435649 | + | 0.900117i | \(0.356519\pi\) |
−0.238984 | + | 0.971024i | \(0.576814\pi\) | |||||||
\(110\) | 17.0324 | − | 16.2941i | 1.62398 | − | 1.55358i | ||||
\(111\) | 0.533550 | − | 2.66209i | 0.0506424 | − | 0.252674i | ||||
\(112\) | 1.91489 | − | 13.0394i | 0.180940 | − | 1.23211i | ||||
\(113\) | 4.95613 | − | 3.60084i | 0.466233 | − | 0.338738i | −0.329738 | − | 0.944072i | \(-0.606961\pi\) |
0.795971 | + | 0.605334i | \(0.206961\pi\) | |||||||
\(114\) | −18.2193 | + | 6.15508i | −1.70640 | + | 0.576476i | ||||
\(115\) | 5.87073 | + | 16.3685i | 0.547449 | + | 1.52637i | ||||
\(116\) | −1.25885 | + | 0.132311i | −0.116882 | + | 0.0122848i | ||||
\(117\) | −1.12557 | + | 2.05872i | −0.104059 | + | 0.190329i | ||||
\(118\) | −0.597791 | −0.0550312 | ||||||||
\(119\) | −9.96451 | − | 6.31255i | −0.913445 | − | 0.578671i | ||||
\(120\) | 2.59659 | + | 6.98293i | 0.237035 | + | 0.637452i | ||||
\(121\) | −18.6086 | + | 20.6669i | −1.69169 | + | 1.87881i | ||||
\(122\) | −2.11939 | + | 9.97097i | −0.191881 | + | 0.902729i | ||||
\(123\) | 0.342581 | − | 0.389493i | 0.0308894 | − | 0.0351194i | ||||
\(124\) | 0.0808076 | − | 0.0466543i | 0.00725674 | − | 0.00418968i | ||||
\(125\) | −2.47835 | + | 10.9022i | −0.221670 | + | 0.975122i | ||||
\(126\) | −11.0045 | + | 7.69940i | −0.980362 | + | 0.685917i | ||||
\(127\) | −0.575894 | + | 0.792650i | −0.0511023 | + | 0.0703363i | −0.833803 | − | 0.552061i | \(-0.813841\pi\) |
0.782701 | + | 0.622398i | \(0.213841\pi\) | |||||||
\(128\) | 8.63369 | − | 9.58868i | 0.763117 | − | 0.847528i | ||||
\(129\) | −3.65671 | − | 16.2703i | −0.321956 | − | 1.43252i | ||||
\(130\) | 2.44550 | + | 1.66627i | 0.214485 | + | 0.146142i | ||||
\(131\) | −2.18665 | + | 0.464787i | −0.191049 | + | 0.0406086i | −0.302442 | − | 0.953168i | \(-0.597802\pi\) |
0.111394 | + | 0.993776i | \(0.464469\pi\) | |||||||
\(132\) | 3.88708 | + | 8.46410i | 0.338327 | + | 0.736705i | ||||
\(133\) | 15.3786 | − | 8.05534i | 1.33350 | − | 0.698486i | ||||
\(134\) | 4.84774 | + | 6.67234i | 0.418781 | + | 0.576402i | ||||
\(135\) | 5.14242 | − | 10.4190i | 0.442589 | − | 0.896725i | ||||
\(136\) | −3.48823 | − | 7.83469i | −0.299113 | − | 0.671819i | ||||
\(137\) | 1.50718 | + | 14.3399i | 0.128767 | + | 1.22514i | 0.847859 | + | 0.530222i | \(0.177891\pi\) |
−0.719092 | + | 0.694915i | \(0.755442\pi\) | |||||||
\(138\) | −22.7906 | + | 0.265174i | −1.94006 | + | 0.0225731i | ||||
\(139\) | 2.02614 | − | 2.78874i | 0.171855 | − | 0.236538i | −0.714398 | − | 0.699739i | \(-0.753299\pi\) |
0.886253 | + | 0.463202i | \(0.153299\pi\) | |||||||
\(140\) | 2.50506 | + | 4.45002i | 0.211716 | + | 0.376095i | ||||
\(141\) | −10.8670 | − | 6.10662i | −0.915169 | − | 0.514270i | ||||
\(142\) | −1.08002 | − | 5.08108i | −0.0906329 | − | 0.426394i | ||||
\(143\) | −4.21959 | − | 2.43618i | −0.352860 | − | 0.203724i | ||||
\(144\) | −14.9398 | + | 0.347703i | −1.24498 | + | 0.0289753i | ||||
\(145\) | −2.36939 | + | 2.26669i | −0.196768 | + | 0.188239i | ||||
\(146\) | 3.38316 | + | 10.4123i | 0.279993 | + | 0.861729i | ||||
\(147\) | 8.72773 | − | 8.41586i | 0.719851 | − | 0.694128i | ||||
\(148\) | 0.795308 | − | 1.09465i | 0.0653739 | − | 0.0899794i | ||||
\(149\) | −10.2247 | + | 5.90323i | −0.837640 | + | 0.483612i | −0.856461 | − | 0.516211i | \(-0.827342\pi\) |
0.0188212 | + | 0.999823i | \(0.494009\pi\) | |||||||
\(150\) | −12.4447 | − | 7.73752i | −1.01610 | − | 0.631766i | ||||
\(151\) | 4.95867 | − | 8.58868i | 0.403531 | − | 0.698937i | −0.590618 | − | 0.806951i | \(-0.701116\pi\) |
0.994149 | + | 0.108015i | \(0.0344493\pi\) | |||||||
\(152\) | 12.5529 | + | 1.31937i | 1.01818 | + | 0.107015i | ||||
\(153\) | −5.15438 | + | 12.3421i | −0.416707 | + | 0.997796i | ||||
\(154\) | −15.4525 | − | 23.2177i | −1.24520 | − | 1.87094i | ||||
\(155\) | 0.0915995 | − | 0.223687i | 0.00735745 | − | 0.0179669i | ||||
\(156\) | −0.937933 | + | 0.698264i | −0.0750947 | + | 0.0559059i | ||||
\(157\) | −1.58335 | + | 2.74244i | −0.126365 | + | 0.218871i | −0.922266 | − | 0.386556i | \(-0.873664\pi\) |
0.795901 | + | 0.605427i | \(0.206998\pi\) | |||||||
\(158\) | 5.62520 | + | 6.24742i | 0.447517 | + | 0.497018i | ||||
\(159\) | 18.4416 | − | 0.214572i | 1.46251 | − | 0.0170167i | ||||
\(160\) | −0.762621 | + | 10.2163i | −0.0602905 | + | 0.807672i | ||||
\(161\) | 20.2846 | − | 3.44748i | 1.59865 | − | 0.271700i | ||||
\(162\) | 10.7056 | + | 10.8309i | 0.841108 | + | 0.850958i | ||||
\(163\) | −3.45535 | + | 7.76084i | −0.270644 | + | 0.607876i | −0.996825 | − | 0.0796277i | \(-0.974627\pi\) |
0.726181 | + | 0.687504i | \(0.241294\pi\) | |||||||
\(164\) | 0.236158 | − | 0.105144i | 0.0184408 | − | 0.00821038i | ||||
\(165\) | 21.3817 | + | 11.1792i | 1.66456 | + | 0.870301i | ||||
\(166\) | 0.0738429 | − | 0.165854i | 0.00573132 | − | 0.0128728i | ||||
\(167\) | −13.1768 | − | 4.28141i | −1.01965 | − | 0.331305i | −0.248961 | − | 0.968513i | \(-0.580089\pi\) |
−0.770692 | + | 0.637208i | \(0.780089\pi\) | |||||||
\(168\) | 8.67266 | − | 1.57800i | 0.669110 | − | 0.121745i | ||||
\(169\) | −3.82820 | + | 11.7820i | −0.294477 | + | 0.906306i | ||||
\(170\) | 14.8570 | + | 7.98931i | 1.13948 | + | 0.612752i | ||||
\(171\) | −11.9380 | − | 15.6520i | −0.912922 | − | 1.19694i | ||||
\(172\) | 1.72789 | − | 8.12910i | 0.131751 | − | 0.619838i | ||||
\(173\) | 1.54172 | + | 0.162042i | 0.117215 | + | 0.0123198i | 0.162954 | − | 0.986634i | \(-0.447898\pi\) |
−0.0457393 | + | 0.998953i | \(0.514564\pi\) | |||||||
\(174\) | −1.79362 | − | 3.90561i | −0.135974 | − | 0.296083i | ||||
\(175\) | 12.1868 | + | 5.14603i | 0.921236 | + | 0.389004i | ||||
\(176\) | − | 31.0322i | − | 2.33914i | ||||||
\(177\) | −0.195848 | − | 0.579719i | −0.0147208 | − | 0.0435744i | ||||
\(178\) | 3.22855 | + | 0.686249i | 0.241990 | + | 0.0514365i | ||||
\(179\) | −2.29837 | + | 10.8130i | −0.171788 | + | 0.808200i | 0.804879 | + | 0.593439i | \(0.202230\pi\) |
−0.976667 | + | 0.214760i | \(0.931103\pi\) | |||||||
\(180\) | 4.49591 | − | 3.64906i | 0.335105 | − | 0.271985i | ||||
\(181\) | 8.14194 | + | 2.64548i | 0.605186 | + | 0.196637i | 0.595552 | − | 0.803317i | \(-0.296933\pi\) |
0.00963381 | + | 0.999954i | \(0.496933\pi\) | |||||||
\(182\) | 2.44780 | − | 2.50360i | 0.181443 | − | 0.185579i | ||||
\(183\) | −10.3639 | + | 1.21136i | −0.766120 | + | 0.0895460i | ||||
\(184\) | 13.6661 | + | 6.08455i | 1.00748 | + | 0.448559i | ||||
\(185\) | −0.105875 | − | 3.50349i | −0.00778409 | − | 0.257581i | ||||
\(186\) | 0.237889 | + | 0.209236i | 0.0174429 | + | 0.0153419i | ||||
\(187\) | −25.3734 | − | 11.2970i | −1.85549 | − | 0.826116i | ||||
\(188\) | −3.65143 | − | 5.02576i | −0.266308 | − | 0.366541i | ||||
\(189\) | −11.0719 | − | 8.14938i | −0.805364 | − | 0.592780i | ||||
\(190\) | −21.1161 | + | 13.0573i | −1.53192 | + | 0.947278i | ||||
\(191\) | 4.10193 | − | 9.21310i | 0.296806 | − | 0.666636i | −0.702164 | − | 0.712015i | \(-0.747783\pi\) |
0.998970 | + | 0.0453787i | \(0.0144495\pi\) | |||||||
\(192\) | 3.51489 | + | 1.51618i | 0.253666 | + | 0.109421i | ||||
\(193\) | 13.0229 | + | 7.51877i | 0.937409 | + | 0.541213i | 0.889147 | − | 0.457622i | \(-0.151299\pi\) |
0.0482617 | + | 0.998835i | \(0.484632\pi\) | |||||||
\(194\) | −10.5501 | + | 2.24250i | −0.757455 | + | 0.161002i | ||||
\(195\) | −0.814707 | + | 2.91748i | −0.0583424 | + | 0.208925i | ||||
\(196\) | 5.70302 | − | 1.99618i | 0.407358 | − | 0.142585i | ||||
\(197\) | 0.572132 | + | 1.76084i | 0.0407627 | + | 0.125455i | 0.969367 | − | 0.245617i | \(-0.0789905\pi\) |
−0.928604 | + | 0.371071i | \(0.878990\pi\) | |||||||
\(198\) | −23.0026 | + | 21.7017i | −1.63472 | + | 1.54227i | ||||
\(199\) | −21.2450 | − | 12.2658i | −1.50602 | − | 0.869499i | −0.999976 | − | 0.00698864i | \(-0.997775\pi\) |
−0.506040 | − | 0.862510i | \(-0.668891\pi\) | |||||||
\(200\) | 5.30320 | + | 8.02385i | 0.374993 | + | 0.567372i | ||||
\(201\) | −4.88241 | + | 6.88717i | −0.344379 | + | 0.485783i | ||||
\(202\) | −17.5848 | − | 12.7761i | −1.23726 | − | 0.898924i | ||||
\(203\) | 2.14961 | + | 3.22984i | 0.150873 | + | 0.226690i | ||||
\(204\) | −4.90129 | + | 4.51749i | −0.343159 | + | 0.316288i | ||||
\(205\) | 0.317159 | − | 0.589792i | 0.0221514 | − | 0.0411928i | ||||
\(206\) | 2.25824 | + | 2.50803i | 0.157339 | + | 0.174743i | ||||
\(207\) | −7.72379 | − | 22.0147i | −0.536840 | − | 1.53013i | ||||
\(208\) | 3.81077 | − | 0.810004i | 0.264229 | − | 0.0561637i | ||||
\(209\) | 33.0709 | − | 24.0274i | 2.28756 | − | 1.66201i | ||||
\(210\) | −11.5922 | + | 12.8940i | −0.799939 | + | 0.889769i | ||||
\(211\) | 8.91353 | + | 6.47606i | 0.613633 | + | 0.445830i | 0.850692 | − | 0.525665i | \(-0.176183\pi\) |
−0.237059 | + | 0.971495i | \(0.576183\pi\) | |||||||
\(212\) | 8.39652 | + | 3.73837i | 0.576676 | + | 0.256752i | ||||
\(213\) | 4.57363 | − | 2.71202i | 0.313380 | − | 0.185825i | ||||
\(214\) | 17.1654 | − | 7.64251i | 1.17340 | − | 0.522431i | ||||
\(215\) | −9.34665 | − | 19.3941i | −0.637436 | − | 1.32267i | ||||
\(216\) | −3.41858 | − | 9.39254i | −0.232605 | − | 0.639082i | ||||
\(217\) | −0.241601 | − | 0.153055i | −0.0164009 | − | 0.0103900i | ||||
\(218\) | −33.2376 | −2.25114 | ||||||||
\(219\) | −8.98914 | + | 6.69215i | −0.607430 | + | 0.452214i | ||||
\(220\) | 7.35832 | + | 9.50994i | 0.496098 | + | 0.641160i | ||||
\(221\) | 0.724974 | − | 3.41074i | 0.0487671 | − | 0.229431i | ||||
\(222\) | 4.38545 | + | 1.36872i | 0.294332 | + | 0.0918625i | ||||
\(223\) | 10.5527 | + | 7.66697i | 0.706660 | + | 0.513418i | 0.882094 | − | 0.471073i | \(-0.156133\pi\) |
−0.175435 | + | 0.984491i | \(0.556133\pi\) | |||||||
\(224\) | 11.7433 | + | 3.00521i | 0.784634 | + | 0.200794i | ||||
\(225\) | 3.42650 | − | 14.6034i | 0.228434 | − | 0.973560i | ||||
\(226\) | 5.18298 | + | 8.97718i | 0.344766 | + | 0.597153i | ||||
\(227\) | 1.18613 | + | 2.66408i | 0.0787259 | + | 0.176821i | 0.948620 | − | 0.316417i | \(-0.102480\pi\) |
−0.869894 | + | 0.493238i | \(0.835813\pi\) | |||||||
\(228\) | −2.15117 | − | 9.57147i | −0.142464 | − | 0.633886i | ||||
\(229\) | 21.2479 | + | 19.1317i | 1.40410 | + | 1.26426i | 0.921478 | + | 0.388430i | \(0.126982\pi\) |
0.482623 | + | 0.875828i | \(0.339684\pi\) | |||||||
\(230\) | −28.5836 | + | 6.98429i | −1.88475 | + | 0.460531i | ||||
\(231\) | 17.4533 | − | 22.5919i | 1.14834 | − | 1.48644i | ||||
\(232\) | 2.82081i | 0.185195i | ||||||||
\(233\) | 0.618493 | − | 0.131465i | 0.0405188 | − | 0.00861254i | −0.187608 | − | 0.982244i | \(-0.560073\pi\) |
0.228126 | + | 0.973632i | \(0.426740\pi\) | |||||||
\(234\) | −3.26539 | − | 2.25826i | −0.213465 | − | 0.147627i | ||||
\(235\) | −15.4482 | − | 4.50832i | −1.00773 | − | 0.294090i | ||||
\(236\) | 0.0318759 | − | 0.303279i | 0.00207494 | − | 0.0197418i | ||||
\(237\) | −4.21563 | + | 7.50191i | −0.273834 | + | 0.487302i | ||||
\(238\) | 12.3854 | − | 15.6520i | 0.802824 | − | 1.01457i | ||||
\(239\) | 8.49508 | − | 11.6925i | 0.549501 | − | 0.756323i | −0.440444 | − | 0.897780i | \(-0.645179\pi\) |
0.989944 | + | 0.141457i | \(0.0451788\pi\) | |||||||
\(240\) | −18.6865 | + | 4.79704i | −1.20621 | + | 0.309647i | ||||
\(241\) | −2.44968 | + | 0.257472i | −0.157798 | + | 0.0165852i | −0.183098 | − | 0.983095i | \(-0.558613\pi\) |
0.0253000 | + | 0.999680i | \(0.491946\pi\) | |||||||
\(242\) | −31.4874 | − | 34.9703i | −2.02409 | − | 2.24798i | ||||
\(243\) | −6.99614 | + | 13.9303i | −0.448803 | + | 0.893631i | ||||
\(244\) | −4.94558 | − | 1.60692i | −0.316609 | − | 0.102872i | ||||
\(245\) | 8.51988 | − | 13.1306i | 0.544315 | − | 0.838881i | ||||
\(246\) | 0.594856 | + | 0.645393i | 0.0379266 | + | 0.0411488i | ||||
\(247\) | 3.81379 | + | 3.43395i | 0.242665 | + | 0.218497i | ||||
\(248\) | −0.0845760 | − | 0.189961i | −0.00537058 | − | 0.0120625i | ||||
\(249\) | 0.185032 | + | 0.0172736i | 0.0117259 | + | 0.00109467i | ||||
\(250\) | −17.9081 | − | 6.09892i | −1.13261 | − | 0.385730i | ||||
\(251\) | −3.03976 | −0.191868 | −0.0959339 | − | 0.995388i | \(-0.530584\pi\) | ||||
−0.0959339 | + | 0.995388i | \(0.530584\pi\) | |||||||
\(252\) | −3.31936 | − | 5.99351i | −0.209100 | − | 0.377556i | ||||
\(253\) | 46.0764 | − | 14.9711i | 2.89680 | − | 0.941227i | ||||
\(254\) | −1.23203 | − | 1.10933i | −0.0773045 | − | 0.0696053i | ||||
\(255\) | −2.88035 | + | 17.0253i | −0.180375 | + | 1.06616i | ||||
\(256\) | 11.6514 | + | 12.9401i | 0.728210 | + | 0.808759i | ||||
\(257\) | −7.32717 | + | 4.23034i | −0.457056 | + | 0.263882i | −0.710806 | − | 0.703388i | \(-0.751669\pi\) |
0.253749 | + | 0.967270i | \(0.418336\pi\) | |||||||
\(258\) | 28.0268 | − | 3.27584i | 1.74487 | − | 0.203945i | ||||
\(259\) | −4.10326 | − | 0.602581i | −0.254964 | − | 0.0374426i | ||||
\(260\) | −0.975756 | + | 1.15183i | −0.0605138 | + | 0.0714336i | ||||
\(261\) | 3.19991 | − | 3.01895i | 0.198069 | − | 0.186868i | ||||
\(262\) | −0.395398 | − | 3.76196i | −0.0244278 | − | 0.232415i | ||||
\(263\) | −1.84067 | − | 17.5128i | −0.113500 | − | 1.07988i | −0.891937 | − | 0.452160i | \(-0.850654\pi\) |
0.778437 | − | 0.627723i | \(-0.216013\pi\) | |||||||
\(264\) | 19.6644 | − | 6.64325i | 1.21026 | − | 0.408864i | ||||
\(265\) | 23.1291 | − | 5.65151i | 1.42081 | − | 0.347169i | ||||
\(266\) | 10.8357 | + | 27.3043i | 0.664378 | + | 1.67413i | ||||
\(267\) | 0.392230 | + | 3.35577i | 0.0240041 | + | 0.205370i | ||||
\(268\) | −3.64359 | + | 2.10363i | −0.222568 | + | 0.128499i | ||||
\(269\) | 6.04513 | + | 6.71380i | 0.368578 | + | 0.409348i | 0.898693 | − | 0.438578i | \(-0.144518\pi\) |
−0.530115 | + | 0.847926i | \(0.677851\pi\) | |||||||
\(270\) | 16.6238 | + | 10.4966i | 1.01169 | + | 0.638804i | ||||
\(271\) | 3.97237 | + | 3.57674i | 0.241305 | + | 0.217272i | 0.780905 | − | 0.624649i | \(-0.214758\pi\) |
−0.539601 | + | 0.841921i | \(0.681425\pi\) | |||||||
\(272\) | 21.1215 | − | 6.86278i | 1.28068 | − | 0.416117i | ||||
\(273\) | 3.22986 | + | 1.55358i | 0.195480 | + | 0.0940268i | ||||
\(274\) | −24.3981 | −1.47394 | ||||||||
\(275\) | 30.1515 | + | 7.81911i | 1.81820 | + | 0.471510i | ||||
\(276\) | 1.08073 | − | 11.5766i | 0.0650521 | − | 0.696826i | ||||
\(277\) | −4.50944 | − | 10.1284i | −0.270946 | − | 0.608555i | 0.725910 | − | 0.687790i | \(-0.241419\pi\) |
−0.996856 | + | 0.0792351i | \(0.974752\pi\) | |||||||
\(278\) | 4.33459 | + | 3.90288i | 0.259972 | + | 0.234079i | ||||
\(279\) | −0.124974 | + | 0.299247i | −0.00748198 | + | 0.0179154i | ||||
\(280\) | 10.4461 | − | 4.51534i | 0.624272 | − | 0.269843i | ||||
\(281\) | −1.50383 | − | 0.488624i | −0.0897109 | − | 0.0291488i | 0.263818 | − | 0.964573i | \(-0.415018\pi\) |
−0.353529 | + | 0.935424i | \(0.615018\pi\) | |||||||
\(282\) | 12.1984 | − | 17.2072i | 0.726407 | − | 1.02468i | ||||
\(283\) | 2.80753 | + | 3.11807i | 0.166890 | + | 0.185350i | 0.820789 | − | 0.571232i | \(-0.193534\pi\) |
−0.653899 | + | 0.756582i | \(0.726868\pi\) | |||||||
\(284\) | 2.63538 | − | 0.276990i | 0.156381 | − | 0.0164363i | ||||
\(285\) | −19.5806 | − | 16.1999i | −1.15986 | − | 0.959599i | ||||
\(286\) | 4.84599 | − | 6.66993i | 0.286549 | − | 0.394401i | ||||
\(287\) | −0.621353 | − | 0.491673i | −0.0366773 | − | 0.0290226i | ||||
\(288\) | 1.11828 | − | 13.6992i | 0.0658953 | − | 0.807234i | ||||
\(289\) | 0.300740 | − | 2.86135i | 0.0176906 | − | 0.168315i | ||||
\(290\) | −3.39537 | − | 4.38819i | −0.199383 | − | 0.257683i | ||||
\(291\) | −5.63112 | − | 9.49649i | −0.330102 | − | 0.556694i | ||||
\(292\) | −5.46290 | + | 1.16118i | −0.319692 | + | 0.0679526i | ||||
\(293\) | − | 17.4530i | − | 1.01961i | −0.860289 | − | 0.509807i | \(-0.829717\pi\) | ||
0.860289 | − | 0.509807i | \(-0.170283\pi\) | |||||||
\(294\) | 12.6187 | + | 16.1758i | 0.735939 | + | 0.943390i | ||||
\(295\) | −0.415469 | − | 0.671890i | −0.0241896 | − | 0.0391190i | ||||
\(296\) | −2.24080 | − | 2.01762i | −0.130244 | − | 0.117272i | ||||
\(297\) | −28.5817 | − | 15.1973i | −1.65848 | − | 0.881835i | ||||
\(298\) | −8.12565 | − | 18.2505i | −0.470706 | − | 1.05722i | ||||
\(299\) | 3.04114 | + | 5.26742i | 0.175874 | + | 0.304623i | ||||
\(300\) | 4.58908 | − | 5.90099i | 0.264951 | − | 0.340694i | ||||
\(301\) | −24.5294 | + | 6.86979i | −1.41385 | + | 0.395968i | ||||
\(302\) | 13.5762 | + | 9.86368i | 0.781222 | + | 0.567591i | ||||
\(303\) | 6.62875 | − | 21.2389i | 0.380812 | − | 1.22014i | ||||
\(304\) | −6.79572 | + | 31.9714i | −0.389761 | + | 1.83368i | ||||
\(305\) | −12.6799 | + | 4.54779i | −0.726049 | + | 0.260406i | ||||
\(306\) | −19.8579 | − | 10.8569i | −1.13520 | − | 0.620647i | ||||
\(307\) | −19.8711 | −1.13410 | −0.567051 | − | 0.823683i | \(-0.691916\pi\) | ||||
−0.567051 | + | 0.823683i | \(0.691916\pi\) | |||||||
\(308\) | 12.6031 | − | 6.60151i | 0.718127 | − | 0.376156i | ||||
\(309\) | −1.69237 | + | 3.01165i | −0.0962755 | + | 0.171327i | ||||
\(310\) | 0.360224 | + | 0.193710i | 0.0204594 | + | 0.0110020i | ||||
\(311\) | −2.77321 | + | 1.23471i | −0.157254 | + | 0.0700141i | −0.483854 | − | 0.875148i | \(-0.660764\pi\) |
0.326600 | + | 0.945163i | \(0.394097\pi\) | |||||||
\(312\) | 1.32907 | + | 2.24139i | 0.0752439 | + | 0.126894i | ||||
\(313\) | −13.7055 | − | 6.10210i | −0.774683 | − | 0.344911i | −0.0189750 | − | 0.999820i | \(-0.506040\pi\) |
−0.755708 | + | 0.654909i | \(0.772707\pi\) | |||||||
\(314\) | −4.33500 | − | 3.14956i | −0.244638 | − | 0.177740i | ||||
\(315\) | −16.3020 | − | 7.01745i | −0.918514 | − | 0.395389i | ||||
\(316\) | −3.46947 | + | 2.52072i | −0.195173 | + | 0.141801i | ||||
\(317\) | −0.385121 | + | 0.0818600i | −0.0216305 | + | 0.00459771i | −0.218714 | − | 0.975789i | \(-0.570186\pi\) |
0.197084 | + | 0.980387i | \(0.436853\pi\) | |||||||
\(318\) | −2.90071 | + | 31.0719i | −0.162664 | + | 1.74242i | ||||
\(319\) | 6.11281 | + | 6.78897i | 0.342252 | + | 0.380109i | ||||
\(320\) | 4.86271 | + | 0.880992i | 0.271834 | + | 0.0492490i | ||||
\(321\) | 13.0352 | + | 14.1426i | 0.727552 | + | 0.789363i | ||||
\(322\) | 2.21374 | + | 34.7451i | 0.123367 | + | 1.93627i | ||||
\(323\) | 23.6674 | + | 17.1954i | 1.31689 | + | 0.956775i | ||||
\(324\) | −6.06573 | + | 4.85374i | −0.336985 | + | 0.269652i | ||||
\(325\) | −0.173174 | + | 3.90671i | −0.00960595 | + | 0.216705i | ||||
\(326\) | −12.4490 | − | 7.18742i | −0.689485 | − | 0.398075i | ||||
\(327\) | −10.8893 | − | 32.2328i | −0.602178 | − | 1.78248i | ||||
\(328\) | −0.178019 | − | 0.547887i | −0.00982946 | − | 0.0302520i | ||||
\(329\) | −8.45274 | + | 17.0620i | −0.466015 | + | 0.940659i | ||||
\(330\) | −22.5945 | + | 34.0043i | −1.24379 | + | 1.87188i | ||||
\(331\) | −21.5900 | + | 4.58910i | −1.18669 | + | 0.252240i | −0.758638 | − | 0.651512i | \(-0.774135\pi\) |
−0.428057 | + | 0.903752i | \(0.640802\pi\) | |||||||
\(332\) | 0.0802055 | + | 0.0463067i | 0.00440185 | + | 0.00254141i | ||||
\(333\) | 0.109416 | + | 4.70129i | 0.00599596 | + | 0.257629i | ||||
\(334\) | 9.53547 | − | 21.4170i | 0.521758 | − | 1.17189i | ||||
\(335\) | −4.13019 | + | 10.0860i | −0.225656 | + | 0.551055i | ||||
\(336\) | 1.71640 | + | 22.7625i | 0.0936373 | + | 1.24179i | ||||
\(337\) | −5.68165 | − | 7.82012i | −0.309499 | − | 0.425989i | 0.625726 | − | 0.780043i | \(-0.284803\pi\) |
−0.935225 | + | 0.354054i | \(0.884803\pi\) | |||||||
\(338\) | −19.1499 | − | 8.52609i | −1.04162 | − | 0.463758i | ||||
\(339\) | −7.00774 | + | 7.96738i | −0.380608 | + | 0.432729i | ||||
\(340\) | −4.84545 | + | 7.11142i | −0.262782 | + | 0.385671i | ||||
\(341\) | −0.615207 | − | 0.273908i | −0.0333153 | − | 0.0148329i | ||||
\(342\) | 28.4511 | − | 17.3212i | 1.53846 | − | 0.936621i | ||||
\(343\) | −13.5309 | − | 12.6457i | −0.730601 | − | 0.682805i | ||||
\(344\) | −17.6140 | − | 5.72312i | −0.949681 | − | 0.308570i | ||||
\(345\) | −16.1377 | − | 25.4313i | −0.868823 | − | 1.36917i | ||||
\(346\) | −0.545375 | + | 2.56579i | −0.0293196 | + | 0.137938i | ||||
\(347\) | 13.8254 | + | 2.93868i | 0.742186 | + | 0.157756i | 0.563461 | − | 0.826143i | \(-0.309469\pi\) |
0.178725 | + | 0.983899i | \(0.442803\pi\) | |||||||
\(348\) | 2.07708 | − | 0.701705i | 0.111343 | − | 0.0376153i | ||||
\(349\) | 27.2011i | 1.45604i | 0.685554 | + | 0.728022i | \(0.259560\pi\) | ||||
−0.685554 | + | 0.728022i | \(0.740440\pi\) | |||||||
\(350\) | −10.8154 | + | 19.5981i | −0.578106 | + | 1.04756i | ||||
\(351\) | 1.12019 | − | 3.90652i | 0.0597912 | − | 0.208515i | ||||
\(352\) | 28.3859 | + | 2.98348i | 1.51297 | + | 0.159020i | ||||
\(353\) | −3.68290 | + | 17.3267i | −0.196021 | + | 0.922206i | 0.764635 | + | 0.644464i | \(0.222919\pi\) |
−0.960656 | + | 0.277742i | \(0.910414\pi\) | |||||||
\(354\) | 1.01021 | − | 0.227041i | 0.0536918 | − | 0.0120671i | ||||
\(355\) | 4.96028 | − | 4.74527i | 0.263264 | − | 0.251853i | ||||
\(356\) | −0.520311 | + | 1.60135i | −0.0275764 | + | 0.0848716i | ||||
\(357\) | 19.2365 | + | 6.88304i | 1.01810 | + | 0.364289i | ||||
\(358\) | −17.7898 | − | 5.78026i | −0.940221 | − | 0.305496i | ||||
\(359\) | −1.88015 | + | 4.22288i | −0.0992303 | + | 0.222875i | −0.956338 | − | 0.292262i | \(-0.905592\pi\) |
0.857108 | + | 0.515137i | \(0.172259\pi\) | |||||||
\(360\) | −7.04009 | − | 10.8143i | −0.371046 | − | 0.569961i | ||||
\(361\) | −21.9760 | + | 9.78437i | −1.15663 | + | 0.514967i | ||||
\(362\) | −5.89196 | + | 13.2335i | −0.309674 | + | 0.695540i | ||||
\(363\) | 23.5973 | − | 41.9925i | 1.23853 | − | 2.20403i | ||||
\(364\) | 1.13963 | + | 1.37535i | 0.0597330 | + | 0.0720879i | ||||
\(365\) | −9.35163 | + | 11.0391i | −0.489487 | + | 0.577815i | ||||
\(366\) | −0.205418 | − | 17.6549i | −0.0107374 | − | 0.922834i | ||||
\(367\) | −2.62917 | − | 2.91999i | −0.137241 | − | 0.152422i | 0.670606 | − | 0.741814i | \(-0.266034\pi\) |
−0.807847 | + | 0.589392i | \(0.799367\pi\) | |||||||
\(368\) | −19.3692 | + | 33.5484i | −1.00969 | + | 1.74883i | ||||
\(369\) | −0.430996 | + | 0.788316i | −0.0224368 | + | 0.0410381i | ||||
\(370\) | 5.91448 | + | 0.441499i | 0.307479 | + | 0.0229525i | ||||
\(371\) | −1.79130 | − | 28.1149i | −0.0929996 | − | 1.45965i | ||||
\(372\) | −0.118837 | + | 0.109532i | −0.00616142 | + | 0.00567896i | ||||
\(373\) | −35.8575 | − | 3.76878i | −1.85663 | − | 0.195140i | −0.890816 | − | 0.454364i | \(-0.849867\pi\) |
−0.965817 | + | 0.259224i | \(0.916533\pi\) | |||||||
\(374\) | 23.4987 | − | 40.7009i | 1.21509 | − | 2.10459i | ||||
\(375\) | 0.0474993 | − | 19.3649i | 0.00245286 | − | 0.999997i | ||||
\(376\) | −11.9891 | + | 6.92192i | −0.618292 | + | 0.356971i | ||||
\(377\) | −0.674130 | + | 0.927861i | −0.0347195 | + | 0.0477873i | ||||
\(378\) | 15.6723 | − | 17.1907i | 0.806096 | − | 0.884195i | ||||
\(379\) | −4.25736 | − | 13.1028i | −0.218686 | − | 0.673046i | −0.998871 | − | 0.0474974i | \(-0.984875\pi\) |
0.780186 | − | 0.625548i | \(-0.215125\pi\) | |||||||
\(380\) | −5.49843 | − | 11.4091i | −0.282064 | − | 0.585276i | ||||
\(381\) | 0.672152 | − | 1.55822i | 0.0344354 | − | 0.0798301i | ||||
\(382\) | 14.7785 | + | 8.53238i | 0.756134 | + | 0.436554i | ||||
\(383\) | −4.35743 | − | 20.5001i | −0.222654 | − | 1.04751i | −0.937436 | − | 0.348158i | \(-0.886807\pi\) |
0.714781 | − | 0.699348i | \(-0.246526\pi\) | |||||||
\(384\) | −10.9483 | + | 19.4830i | −0.558701 | + | 0.994235i | ||||
\(385\) | 15.3561 | − | 33.5044i | 0.782619 | − | 1.70754i | ||||
\(386\) | −14.9562 | + | 20.5854i | −0.761249 | + | 1.04777i | ||||
\(387\) | 12.3589 | + | 26.1063i | 0.628240 | + | 1.32706i | ||||
\(388\) | −0.575130 | − | 5.47200i | −0.0291978 | − | 0.277798i | ||||
\(389\) | 9.54993 | + | 21.4495i | 0.484201 | + | 1.08753i | 0.976187 | + | 0.216930i | \(0.0696044\pi\) |
−0.491986 | + | 0.870603i | \(0.663729\pi\) | |||||||
\(390\) | −4.76550 | − | 1.88703i | −0.241310 | − | 0.0955534i | ||||
\(391\) | 20.3796 | + | 28.0501i | 1.03064 | + | 1.41855i | ||||
\(392\) | −3.09565 | − | 13.1045i | −0.156354 | − | 0.661879i | ||||
\(393\) | 3.51869 | − | 1.61593i | 0.177494 | − | 0.0815131i | ||||
\(394\) | −3.06438 | + | 0.651354i | −0.154381 | + | 0.0328148i | ||||
\(395\) | −3.11226 | + | 10.6645i | −0.156595 | + | 0.536587i | ||||
\(396\) | −9.78343 | − | 12.8271i | −0.491636 | − | 0.644588i | ||||
\(397\) | 17.3240 | − | 19.2402i | 0.869464 | − | 0.965638i | −0.130201 | − | 0.991488i | \(-0.541562\pi\) |
0.999666 | + | 0.0258495i | \(0.00822907\pi\) | |||||||
\(398\) | 24.3988 | − | 33.5821i | 1.22300 | − | 1.68332i | ||||
\(399\) | −22.9289 | + | 19.4535i | −1.14788 | + | 0.973893i | ||||
\(400\) | −22.0999 | + | 11.4858i | −1.10499 | + | 0.574290i | ||||
\(401\) | −29.4105 | + | 16.9802i | −1.46869 | + | 0.847949i | −0.999384 | − | 0.0350860i | \(-0.988829\pi\) |
−0.469307 | + | 0.883035i | \(0.655496\pi\) | |||||||
\(402\) | −10.7263 | − | 9.43439i | −0.534981 | − | 0.470545i | ||||
\(403\) | 0.0175778 | − | 0.0826971i | 0.000875613 | − | 0.00411944i | ||||
\(404\) | 7.41940 | − | 8.24008i | 0.369129 | − | 0.409959i | ||||
\(405\) | −4.73302 | + | 19.5601i | −0.235186 | + | 0.971950i | ||||
\(406\) | −5.81546 | + | 3.04615i | −0.288617 | + | 0.151178i | ||||
\(407\) | −9.76530 | −0.484048 | ||||||||
\(408\) | 8.87037 | + | 11.9150i | 0.439149 | + | 0.589880i | ||||
\(409\) | 32.3560 | − | 3.40076i | 1.59990 | − | 0.168157i | 0.737847 | − | 0.674968i | \(-0.235843\pi\) |
0.862057 | + | 0.506812i | \(0.169176\pi\) | |||||||
\(410\) | 0.936419 | + | 0.638041i | 0.0462465 | + | 0.0315106i | ||||
\(411\) | −7.99327 | − | 23.6605i | −0.394279 | − | 1.16708i | ||||
\(412\) | −1.39282 | + | 1.01194i | −0.0686195 | + | 0.0498550i | ||||
\(413\) | −0.868792 | + | 0.344779i | −0.0427505 | + | 0.0169655i | ||||
\(414\) | 38.4131 | − | 9.10399i | 1.88790 | − | 0.447437i | ||||
\(415\) | 0.237733 | − | 0.0322736i | 0.0116699 | − | 0.00158425i | ||||
\(416\) | 0.374557 | + | 3.56367i | 0.0183642 | + | 0.174724i | ||||
\(417\) | −2.36480 | + | 5.48221i | −0.115805 | + | 0.268465i | ||||
\(418\) | 34.5846 | + | 59.9022i | 1.69159 | + | 2.92991i | ||||
\(419\) | −6.35251 | + | 19.5510i | −0.310341 | + | 0.955130i | 0.667290 | + | 0.744798i | \(0.267454\pi\) |
−0.977630 | + | 0.210332i | \(0.932546\pi\) | |||||||
\(420\) | −5.92340 | − | 6.56865i | −0.289033 | − | 0.320517i | ||||
\(421\) | −9.29896 | − | 28.6192i | −0.453203 | − | 1.39482i | −0.873231 | − | 0.487306i | \(-0.837980\pi\) |
0.420028 | − | 0.907511i | \(-0.362020\pi\) | |||||||
\(422\) | −12.4746 | + | 13.8545i | −0.607255 | + | 0.674425i | ||||
\(423\) | 20.6835 | + | 6.19226i | 1.00566 | + | 0.301078i | ||||
\(424\) | 10.2412 | − | 17.7383i | 0.497358 | − | 0.861449i | ||||
\(425\) | 1.34609 | + | 22.2512i | 0.0652949 | + | 1.07934i | ||||
\(426\) | 3.75491 | + | 8.17631i | 0.181926 | + | 0.396143i | ||||
\(427\) | 2.67061 | + | 15.7135i | 0.129240 | + | 0.760431i | ||||
\(428\) | 2.96199 | + | 9.11607i | 0.143173 | + | 0.440642i | ||||
\(429\) | 8.05593 | + | 2.51429i | 0.388944 | + | 0.121391i | ||||
\(430\) | 34.2900 | − | 12.2985i | 1.65361 | − | 0.593086i | ||||
\(431\) | 16.1829 | − | 14.5712i | 0.779505 | − | 0.701869i | −0.179967 | − | 0.983673i | \(-0.557599\pi\) |
0.959472 | + | 0.281803i | \(0.0909325\pi\) | |||||||
\(432\) | 25.1147 | − | 6.26172i | 1.20833 | − | 0.301267i | ||||
\(433\) | −11.5302 | + | 35.4862i | −0.554105 | + | 1.70536i | 0.144191 | + | 0.989550i | \(0.453942\pi\) |
−0.698296 | + | 0.715809i | \(0.746058\pi\) | |||||||
\(434\) | 0.300297 | − | 0.379501i | 0.0144147 | − | 0.0182166i | ||||
\(435\) | 3.14314 | − | 4.73037i | 0.150702 | − | 0.226804i | ||||
\(436\) | 1.77232 | − | 16.8625i | 0.0848788 | − | 0.807568i | ||||
\(437\) | −50.7493 | + | 5.33397i | −2.42767 | + | 0.255158i | ||||
\(438\) | −9.67179 | − | 16.3108i | −0.462136 | − | 0.779360i | ||||
\(439\) | 26.4550 | + | 2.78053i | 1.26263 | + | 0.132708i | 0.712082 | − | 0.702097i | \(-0.247753\pi\) |
0.550547 | + | 0.834804i | \(0.314419\pi\) | |||||||
\(440\) | 22.7908 | − | 14.0929i | 1.08651 | − | 0.671854i | ||||
\(441\) | −11.5526 | + | 17.5367i | −0.550125 | + | 0.835082i | ||||
\(442\) | 5.61144 | + | 1.82327i | 0.266909 | + | 0.0867240i | ||||
\(443\) | −3.88418 | − | 6.72760i | −0.184543 | − | 0.319638i | 0.758879 | − | 0.651231i | \(-0.225747\pi\) |
−0.943422 | + | 0.331593i | \(0.892414\pi\) | |||||||
\(444\) | −0.928241 | + | 2.15190i | −0.0440524 | + | 0.102125i | ||||
\(445\) | 1.47255 | + | 4.10569i | 0.0698056 | + | 0.194628i | ||||
\(446\) | −14.7686 | + | 16.4022i | −0.699315 | + | 0.776668i | ||||
\(447\) | 15.0366 | − | 13.8592i | 0.711209 | − | 0.655518i | ||||
\(448\) | 2.03385 | − | 5.48220i | 0.0960902 | − | 0.259009i | ||||
\(449\) | − | 27.2868i | − | 1.28774i | −0.765134 | − | 0.643872i | \(-0.777327\pi\) | ||
0.765134 | − | 0.643872i | \(-0.222673\pi\) | |||||||
\(450\) | 23.9689 | + | 8.34914i | 1.12990 | + | 0.393582i | ||||
\(451\) | −1.61574 | − | 0.932849i | −0.0760823 | − | 0.0439261i | ||||
\(452\) | −4.83078 | + | 2.15080i | −0.227221 | + | 0.101165i | ||||
\(453\) | −5.11767 | + | 16.3973i | −0.240449 | + | 0.770412i | ||||
\(454\) | −4.69297 | + | 1.52484i | −0.220252 | + | 0.0715643i | ||||
\(455\) | 4.51517 | + | 1.01120i | 0.211674 | + | 0.0474058i | ||||
\(456\) | −21.7143 | + | 2.53801i | −1.01686 | + | 0.118853i | ||||
\(457\) | 13.2218 | − | 7.63362i | 0.618490 | − | 0.357086i | −0.157791 | − | 0.987473i | \(-0.550437\pi\) |
0.776281 | + | 0.630387i | \(0.217104\pi\) | |||||||
\(458\) | −35.9535 | + | 32.3726i | −1.67999 | + | 1.51267i | ||||
\(459\) | 4.02286 | − | 22.8144i | 0.187771 | − | 1.06489i | ||||
\(460\) | −2.01920 | − | 14.8738i | −0.0941457 | − | 0.693495i | ||||
\(461\) | 9.10322 | + | 6.61387i | 0.423979 | + | 0.308039i | 0.779237 | − | 0.626730i | \(-0.215607\pi\) |
−0.355258 | + | 0.934768i | \(0.615607\pi\) | |||||||
\(462\) | 34.9312 | + | 33.3667i | 1.62515 | + | 1.55236i | ||||
\(463\) | −14.1860 | − | 19.5254i | −0.659281 | − | 0.907423i | 0.340176 | − | 0.940362i | \(-0.389513\pi\) |
−0.999457 | + | 0.0329387i | \(0.989513\pi\) | |||||||
\(464\) | −7.26463 | − | 0.763544i | −0.337252 | − | 0.0354466i | ||||
\(465\) | −0.0698374 | + | 0.412797i | −0.00323863 | + | 0.0191430i | ||||
\(466\) | 0.111838 | + | 1.06407i | 0.00518080 | + | 0.0492920i | ||||
\(467\) | −2.83717 | − | 13.3478i | −0.131288 | − | 0.617663i | −0.993758 | − | 0.111555i | \(-0.964417\pi\) |
0.862470 | − | 0.506108i | \(-0.168916\pi\) | |||||||
\(468\) | 1.31981 | − | 1.53622i | 0.0610082 | − | 0.0710119i | ||||
\(469\) | 10.8937 | + | 6.90119i | 0.503024 | + | 0.318667i | ||||
\(470\) | 10.3191 | − | 25.1992i | 0.475983 | − | 1.16235i | ||||
\(471\) | 1.63412 | − | 5.23580i | 0.0752962 | − | 0.241253i | ||||
\(472\) | −0.664729 | − | 0.141293i | −0.0305966 | − | 0.00650352i | ||||
\(473\) | −54.7946 | + | 24.3961i | −2.51946 | + | 1.12174i | ||||
\(474\) | −11.8788 | − | 8.42104i | −0.545610 | − | 0.386791i | ||||
\(475\) | −29.3517 | − | 14.6586i | −1.34675 | − | 0.672582i | ||||
\(476\) | 7.28035 | + | 7.11810i | 0.333694 | + | 0.326258i | ||||
\(477\) | −31.0828 | + | 7.36672i | −1.42319 | + | 0.337299i | ||||
\(478\) | 18.1738 | + | 16.3638i | 0.831252 | + | 0.748463i | ||||
\(479\) | 41.6913 | + | 8.86176i | 1.90492 | + | 0.404904i | 0.999795 | − | 0.0202330i | \(-0.00644081\pi\) |
0.905129 | + | 0.425137i | \(0.139774\pi\) | |||||||
\(480\) | −2.59142 | − | 17.5542i | −0.118281 | − | 0.801235i | ||||
\(481\) | −0.254894 | − | 1.19918i | −0.0116222 | − | 0.0546780i | ||||
\(482\) | − | 4.16793i | − | 0.189844i | ||||||
\(483\) | −32.9695 | + | 13.5300i | −1.50016 | + | 0.615635i | ||||
\(484\) | 19.4206 | − | 14.1099i | 0.882754 | − | 0.641358i | ||||
\(485\) | −9.85288 | − | 10.2993i | −0.447396 | − | 0.467667i | ||||
\(486\) | −22.2049 | − | 14.2372i | −1.00723 | − | 0.645811i | ||||
\(487\) | 31.5458 | − | 3.31560i | 1.42948 | − | 0.150244i | 0.642055 | − | 0.766659i | \(-0.278082\pi\) |
0.787422 | + | 0.616415i | \(0.211415\pi\) | |||||||
\(488\) | −4.71343 | + | 10.5865i | −0.213367 | + | 0.479230i | ||||
\(489\) | 2.89161 | − | 14.4274i | 0.130763 | − | 0.652428i | ||||
\(490\) | 20.5895 | + | 16.6599i | 0.930139 | + | 0.752617i | ||||
\(491\) | 22.3318 | + | 30.7370i | 1.00782 | + | 1.38714i | 0.920403 | + | 0.390972i | \(0.127861\pi\) |
0.0874160 | + | 0.996172i | \(0.472139\pi\) | |||||||
\(492\) | −0.359148 | + | 0.267376i | −0.0161917 | + | 0.0120542i | ||||
\(493\) | −3.26892 | + | 5.66194i | −0.147225 | + | 0.255001i | ||||
\(494\) | −6.45328 | + | 5.81056i | −0.290347 | + | 0.261430i | ||||
\(495\) | −40.3787 | − | 10.7710i | −1.81489 | − | 0.484119i | ||||
\(496\) | 0.512114 | − | 0.166396i | 0.0229946 | − | 0.00747139i | ||||
\(497\) | −4.50016 | − | 6.76161i | −0.201860 | − | 0.303300i | ||||
\(498\) | −0.0617955 | + | 0.308321i | −0.00276912 | + | 0.0138162i | ||||
\(499\) | 14.0204 | + | 24.2840i | 0.627638 | + | 1.08710i | 0.988024 | + | 0.154298i | \(0.0493116\pi\) |
−0.360386 | + | 0.932803i | \(0.617355\pi\) | |||||||
\(500\) | 4.04909 | − | 8.76016i | 0.181081 | − | 0.391766i | ||||
\(501\) | 23.8936 | + | 2.23058i | 1.06749 | + | 0.0996549i | ||||
\(502\) | 0.537648 | − | 5.11538i | 0.0239964 | − | 0.228311i | ||||
\(503\) | 23.3820 | − | 7.59726i | 1.04255 | − | 0.338745i | 0.262810 | − | 0.964848i | \(-0.415351\pi\) |
0.779741 | + | 0.626102i | \(0.215351\pi\) | |||||||
\(504\) | −14.0566 | + | 5.96054i | −0.626130 | + | 0.265503i | ||||
\(505\) | 2.13819 | − | 28.6440i | 0.0951484 | − | 1.27464i | ||||
\(506\) | 17.0442 | + | 80.1865i | 0.757705 | + | 3.56472i | ||||
\(507\) | 1.99446 | − | 21.3643i | 0.0885770 | − | 0.948821i | ||||
\(508\) | 0.628492 | − | 0.565897i | 0.0278848 | − | 0.0251076i | ||||
\(509\) | 16.6285 | + | 7.40348i | 0.737045 | + | 0.328153i | 0.740696 | − | 0.671840i | \(-0.234496\pi\) |
−0.00365173 | + | 0.999993i | \(0.501162\pi\) | |||||||
\(510\) | −28.1411 | − | 7.85843i | −1.24611 | − | 0.347977i | ||||
\(511\) | 10.9222 | + | 13.1813i | 0.483171 | + | 0.583107i | ||||
\(512\) | −2.95955 | + | 2.15024i | −0.130795 | + | 0.0950280i | ||||
\(513\) | 26.1186 | + | 21.9163i | 1.15317 | + | 0.967626i | ||||
\(514\) | −5.82296 | − | 13.0786i | −0.256840 | − | 0.576871i | ||||
\(515\) | −1.24942 | + | 4.28126i | −0.0550560 | + | 0.188655i | ||||
\(516\) | 0.167473 | + | 14.3936i | 0.00737258 | + | 0.633643i | ||||
\(517\) | −13.8547 | + | 42.6403i | −0.609327 | + | 1.87532i | ||||
\(518\) | 1.73979 | − | 6.79849i | 0.0764420 | − | 0.298709i | ||||
\(519\) | −2.66690 | + | 0.311713i | −0.117064 | + | 0.0136827i | ||||
\(520\) | 2.32550 | + | 2.43087i | 0.101980 | + | 0.106601i | ||||
\(521\) | 38.4095 | + | 8.16419i | 1.68275 | + | 0.357680i | 0.947411 | − | 0.320019i | \(-0.103689\pi\) |
0.735340 | + | 0.677699i | \(0.237023\pi\) | |||||||
\(522\) | 4.51439 | + | 5.91885i | 0.197589 | + | 0.259061i | ||||
\(523\) | −2.39564 | + | 22.7930i | −0.104754 | + | 0.996666i | 0.808284 | + | 0.588792i | \(0.200396\pi\) |
−0.913038 | + | 0.407874i | \(0.866270\pi\) | |||||||
\(524\) | 1.92965 | 0.0842971 | ||||||||
\(525\) | −22.5489 | − | 4.06771i | −0.984115 | − | 0.177529i | ||||
\(526\) | 29.7965 | 1.29919 | ||||||||
\(527\) | 0.0503767 | − | 0.479303i | 0.00219445 | − | 0.0208788i | ||||
\(528\) | 11.7861 | + | 52.4413i | 0.512922 | + | 2.28221i | ||||
\(529\) | −36.6594 | − | 7.79219i | −1.59389 | − | 0.338791i | ||||
\(530\) | 5.41960 | + | 39.9218i | 0.235413 | + | 1.73409i | ||||
\(531\) | 0.551140 | + | 0.905283i | 0.0239174 | + | 0.0392859i | ||||
\(532\) | −14.4301 | + | 4.04135i | −0.625626 | + | 0.175215i | ||||
\(533\) | 0.0723800 | − | 0.222763i | 0.00313513 | − | 0.00964893i | ||||
\(534\) | −5.71655 | + | 0.0665134i | −0.247379 | + | 0.00287831i | ||||
\(535\) | 20.5199 | + | 13.9815i | 0.887152 | + | 0.604472i | ||||
\(536\) | 3.81350 | + | 8.56527i | 0.164718 | + | 0.369963i | ||||
\(537\) | −0.222765 | − | 19.1457i | −0.00961302 | − | 0.826199i | ||||
\(538\) | −12.3674 | + | 8.98542i | −0.533195 | + | 0.387389i | ||||
\(539\) | −35.8486 | − | 24.8309i | −1.54411 | − | 1.06954i | ||||
\(540\) | −6.21170 | + | 7.87408i | −0.267309 | + | 0.338847i | ||||
\(541\) | 3.74828 | + | 1.66884i | 0.161151 | + | 0.0717490i | 0.485727 | − | 0.874111i | \(-0.338555\pi\) |
−0.324576 | + | 0.945860i | \(0.605222\pi\) | |||||||
\(542\) | −6.72163 | + | 6.05218i | −0.288719 | + | 0.259964i | ||||
\(543\) | −14.7638 | − | 1.37827i | −0.633575 | − | 0.0591473i | ||||
\(544\) | 4.24690 | + | 19.9801i | 0.182084 | + | 0.856640i | ||||
\(545\) | −23.1004 | − | 37.3576i | −0.989512 | − | 1.60022i | ||||
\(546\) | −3.18567 | + | 5.16050i | −0.136334 | + | 0.220849i | ||||
\(547\) | 15.8000 | − | 5.13372i | 0.675558 | − | 0.219502i | 0.0489082 | − | 0.998803i | \(-0.484426\pi\) |
0.626649 | + | 0.779301i | \(0.284426\pi\) | |||||||
\(548\) | 1.30097 | − | 12.3779i | 0.0555748 | − | 0.528759i | ||||
\(549\) | 17.0538 | − | 5.98327i | 0.727839 | − | 0.255360i | ||||
\(550\) | −18.4911 | + | 49.3567i | −0.788465 | + | 2.10458i | ||||
\(551\) | −4.81109 | − | 8.33306i | −0.204960 | − | 0.355000i | ||||
\(552\) | −25.4053 | − | 5.09186i | −1.08132 | − | 0.216724i | ||||
\(553\) | 11.7785 | + | 5.83523i | 0.500874 | + | 0.248139i | ||||
\(554\) | 17.8419 | − | 5.79717i | 0.758028 | − | 0.246298i | ||||
\(555\) | 1.50954 | + | 5.88032i | 0.0640765 | + | 0.249606i | ||||
\(556\) | −2.21119 | + | 1.99097i | −0.0937754 | + | 0.0844358i | ||||
\(557\) | 1.85476 | − | 3.21254i | 0.0785887 | − | 0.136120i | −0.824053 | − | 0.566513i | \(-0.808292\pi\) |
0.902641 | + | 0.430394i | \(0.141625\pi\) | |||||||
\(558\) | −0.481476 | − | 0.263237i | −0.0203825 | − | 0.0111437i | ||||
\(559\) | −4.42610 | − | 6.09200i | −0.187204 | − | 0.257664i | ||||
\(560\) | 8.80112 | + | 28.1247i | 0.371915 | + | 1.18849i | ||||
\(561\) | 47.1691 | + | 9.45389i | 1.99148 | + | 0.399143i | ||||
\(562\) | 1.08825 | − | 2.44426i | 0.0459052 | − | 0.103105i | ||||
\(563\) | 24.2647 | − | 2.55033i | 1.02264 | − | 0.107483i | 0.421663 | − | 0.906752i | \(-0.361446\pi\) |
0.600973 | + | 0.799269i | \(0.294780\pi\) | |||||||
\(564\) | 8.07933 | + | 7.10621i | 0.340201 | + | 0.299225i | ||||
\(565\) | −6.48773 | + | 12.0646i | −0.272941 | + | 0.507563i | ||||
\(566\) | −5.74375 | + | 4.17308i | −0.241428 | + | 0.175407i | ||||
\(567\) | 21.8056 | + | 9.56649i | 0.915747 | + | 0.401755i | ||||
\(568\) | − | 5.90530i | − | 0.247781i | ||||||
\(569\) | −3.47927 | − | 16.3687i | −0.145859 | − | 0.686211i | −0.988927 | − | 0.148404i | \(-0.952586\pi\) |
0.843068 | − | 0.537807i | \(-0.180747\pi\) | |||||||
\(570\) | 30.7248 | − | 30.0854i | 1.28692 | − | 1.26014i | ||||
\(571\) | 8.36728 | + | 1.77852i | 0.350160 | + | 0.0744288i | 0.379634 | − | 0.925137i | \(-0.376050\pi\) |
−0.0294741 | + | 0.999566i | \(0.509383\pi\) | |||||||
\(572\) | 3.12547 | + | 2.81419i | 0.130683 | + | 0.117667i | ||||
\(573\) | −3.43271 | + | 17.1271i | −0.143404 | + | 0.715495i | ||||
\(574\) | 0.937300 | − | 0.958664i | 0.0391221 | − | 0.0400139i | ||||
\(575\) | −27.7158 | − | 27.2725i | −1.15583 | − | 1.13734i | ||||
\(576\) | −6.51565 | − | 1.22723i | −0.271486 | − | 0.0511346i | ||||
\(577\) | −35.8942 | + | 15.9811i | −1.49429 | + | 0.665303i | −0.981194 | − | 0.193026i | \(-0.938170\pi\) |
−0.513100 | + | 0.858329i | \(0.671503\pi\) | |||||||
\(578\) | 4.76196 | + | 1.01219i | 0.198071 | + | 0.0421014i | ||||
\(579\) | −24.8630 | − | 7.75985i | −1.03327 | − | 0.322488i | ||||
\(580\) | 2.40732 | − | 1.48859i | 0.0999586 | − | 0.0618103i | ||||
\(581\) | 0.0116615 | − | 0.283631i | 0.000483802 | − | 0.0117670i | ||||
\(582\) | 16.9769 | − | 7.79653i | 0.703716 | − | 0.323177i | ||||
\(583\) | −13.7917 | − | 64.8848i | −0.571193 | − | 2.68725i | ||||
\(584\) | 1.30097 | + | 12.3779i | 0.0538343 | + | 0.512199i | ||||
\(585\) | 0.268713 | − | 5.23966i | 0.0111099 | − | 0.216633i | ||||
\(586\) | 29.3703 | + | 3.08695i | 1.21328 | + | 0.127521i | ||||
\(587\) | 7.78064 | + | 10.7091i | 0.321142 | + | 0.442013i | 0.938815 | − | 0.344421i | \(-0.111925\pi\) |
−0.617674 | + | 0.786434i | \(0.711925\pi\) | |||||||
\(588\) | −8.87936 | + | 5.53935i | −0.366179 | + | 0.228439i | ||||
\(589\) | 0.573842 | + | 0.416921i | 0.0236447 | + | 0.0171789i | ||||
\(590\) | 1.20416 | − | 0.580324i | 0.0495744 | − | 0.0238915i | ||||
\(591\) | −1.63561 | − | 2.75834i | −0.0672801 | − | 0.113463i | ||||
\(592\) | 5.80267 | − | 5.22475i | 0.238488 | − | 0.214736i | ||||
\(593\) | 36.7315 | − | 21.2069i | 1.50838 | − | 0.870865i | 0.508430 | − | 0.861103i | \(-0.330226\pi\) |
0.999952 | − | 0.00976133i | \(-0.00310718\pi\) | |||||||
\(594\) | 30.6296 | − | 45.4101i | 1.25675 | − | 1.86320i | ||||
\(595\) | 26.2001 | + | 3.04232i | 1.07410 | + | 0.124723i | ||||
\(596\) | 9.69235 | − | 3.14924i | 0.397014 | − | 0.128998i | ||||
\(597\) | 40.5604 | + | 12.6591i | 1.66002 | + | 0.518101i | ||||
\(598\) | −9.40203 | + | 4.18606i | −0.384478 | + | 0.171181i | ||||
\(599\) | 10.9918 | + | 6.34609i | 0.449111 | + | 0.259294i | 0.707455 | − | 0.706759i | \(-0.249843\pi\) |
−0.258344 | + | 0.966053i | \(0.583177\pi\) | |||||||
\(600\) | −12.0093 | − | 11.5453i | −0.490278 | − | 0.471336i | ||||
\(601\) | − | 20.1088i | − | 0.820253i | −0.912029 | − | 0.410127i | \(-0.865485\pi\) | ||
0.912029 | − | 0.410127i | \(-0.134515\pi\) | |||||||
\(602\) | −7.22208 | − | 42.4938i | −0.294350 | − | 1.73192i | ||||
\(603\) | 5.63502 | − | 13.4929i | 0.229476 | − | 0.549475i | ||||
\(604\) | −5.72808 | + | 6.36168i | −0.233072 | + | 0.258853i | ||||
\(605\) | 17.4211 | − | 59.6951i | 0.708267 | − | 2.42695i | ||||
\(606\) | 34.5689 | + | 14.9116i | 1.40426 | + | 0.605742i | ||||
\(607\) | 12.2598 | + | 21.2346i | 0.497609 | + | 0.861885i | 0.999996 | − | 0.00275831i | \(-0.000877997\pi\) |
−0.502387 | + | 0.864643i | \(0.667545\pi\) | |||||||
\(608\) | −28.5916 | − | 9.28998i | −1.15954 | − | 0.376758i | ||||
\(609\) | −4.85931 | − | 4.64168i | −0.196909 | − | 0.188090i | ||||
\(610\) | −5.41042 | − | 22.1424i | −0.219061 | − | 0.896521i | ||||
\(611\) | −5.59787 | − | 0.588360i | −0.226466 | − | 0.0238025i | ||||
\(612\) | 6.56693 | − | 9.49561i | 0.265452 | − | 0.383837i | ||||
\(613\) | 12.4230 | − | 1.30571i | 0.501759 | − | 0.0527370i | 0.149731 | − | 0.988727i | \(-0.452159\pi\) |
0.352027 | + | 0.935990i | \(0.385492\pi\) | |||||||
\(614\) | 3.51464 | − | 33.4395i | 0.141839 | − | 1.34951i | ||||
\(615\) | −0.311963 | + | 1.11714i | −0.0125796 | + | 0.0450476i | ||||
\(616\) | −11.6951 | − | 29.4698i | −0.471208 | − | 1.18737i | ||||
\(617\) | 10.0352 | − | 30.8852i | 0.404003 | − | 1.24339i | −0.517722 | − | 0.855549i | \(-0.673220\pi\) |
0.921725 | − | 0.387844i | \(-0.126780\pi\) | |||||||
\(618\) | −4.76875 | − | 3.38064i | −0.191827 | − | 0.135989i | ||||
\(619\) | 6.86861 | − | 6.18452i | 0.276073 | − | 0.248577i | −0.519450 | − | 0.854501i | \(-0.673863\pi\) |
0.795523 | + | 0.605924i | \(0.207196\pi\) | |||||||
\(620\) | −0.117483 | + | 0.172424i | −0.00471825 | + | 0.00692472i | ||||
\(621\) | 21.4136 | + | 34.2691i | 0.859299 | + | 1.37517i | ||||
\(622\) | −1.58730 | − | 4.88521i | −0.0636449 | − | 0.195879i | ||||
\(623\) | 5.08796 | − | 0.864729i | 0.203845 | − | 0.0346446i | ||||
\(624\) | −6.13217 | + | 2.81615i | −0.245483 | + | 0.112736i | ||||
\(625\) | −5.59137 | − | 24.3667i | −0.223655 | − | 0.974668i | ||||
\(626\) | 12.6929 | − | 21.9847i | 0.507310 | − | 0.878686i | ||||
\(627\) | −46.7607 | + | 53.1641i | −1.86744 | + | 2.12317i | ||||
\(628\) | 1.82903 | − | 2.03134i | 0.0729862 | − | 0.0810594i | ||||
\(629\) | −2.15960 | − | 6.64656i | −0.0861088 | − | 0.265016i | ||||
\(630\) | 14.6925 | − | 26.1922i | 0.585364 | − | 1.04352i | ||||
\(631\) | 1.16286 | − | 3.57892i | 0.0462928 | − | 0.142474i | −0.925238 | − | 0.379386i | \(-0.876135\pi\) |
0.971531 | + | 0.236912i | \(0.0761352\pi\) | |||||||
\(632\) | 4.77846 | + | 8.27653i | 0.190077 | + | 0.329223i | ||||
\(633\) | −17.5226 | − | 7.55851i | −0.696459 | − | 0.300424i | ||||
\(634\) | −0.0696389 | − | 0.662570i | −0.00276571 | − | 0.0263140i | ||||
\(635\) | 0.390561 | − | 2.15574i | 0.0154989 | − | 0.0855478i | ||||
\(636\) | −15.6091 | − | 3.12846i | −0.618941 | − | 0.124052i | ||||
\(637\) | 2.11352 | − | 5.05035i | 0.0837407 | − | 0.200102i | ||||
\(638\) | −12.5058 | + | 9.08602i | −0.495111 | + | 0.359719i | ||||
\(639\) | −6.69894 | + | 6.32011i | −0.265006 | + | 0.250020i | ||||
\(640\) | −8.08273 | + | 27.6963i | −0.319498 | + | 1.09479i | ||||
\(641\) | −7.61167 | + | 0.800018i | −0.300643 | + | 0.0315988i | −0.253649 | − | 0.967296i | \(-0.581631\pi\) |
−0.0469938 | + | 0.998895i | \(0.514964\pi\) | |||||||
\(642\) | −26.1051 | + | 19.4345i | −1.03028 | + | 0.767017i | ||||
\(643\) | −4.12097 | −0.162515 | −0.0812577 | − | 0.996693i | \(-0.525894\pi\) | ||||
−0.0812577 | + | 0.996693i | \(0.525894\pi\) | |||||||
\(644\) | −17.7454 | − | 0.729606i | −0.699266 | − | 0.0287505i | ||||
\(645\) | 23.1608 | + | 29.2242i | 0.911954 | + | 1.15070i | ||||
\(646\) | −33.1229 | + | 36.7867i | −1.30320 | + | 1.44735i | ||||
\(647\) | −2.07399 | + | 9.75737i | −0.0815371 | + | 0.383602i | −0.999927 | − | 0.0120746i | \(-0.996156\pi\) |
0.918390 | + | 0.395676i | \(0.129490\pi\) | |||||||
\(648\) | 9.34434 | + | 14.5741i | 0.367080 | + | 0.572523i | ||||
\(649\) | −1.90602 | + | 1.10044i | −0.0748179 | + | 0.0431961i | ||||
\(650\) | −6.54367 | − | 0.982408i | −0.256664 | − | 0.0385332i | ||||
\(651\) | 0.466411 | + | 0.166887i | 0.0182801 | + | 0.00654082i | ||||
\(652\) | 4.31023 | − | 5.93252i | 0.168802 | − | 0.232335i | ||||
\(653\) | −13.9939 | + | 15.5418i | −0.547624 | + | 0.608198i | −0.951889 | − | 0.306444i | \(-0.900861\pi\) |
0.404265 | + | 0.914642i | \(0.367527\pi\) | |||||||
\(654\) | 56.1681 | − | 12.6237i | 2.19635 | − | 0.493624i | ||||
\(655\) | 3.95347 | − | 3.05900i | 0.154475 | − | 0.119525i | ||||
\(656\) | 1.45920 | − | 0.310162i | 0.0569722 | − | 0.0121098i | ||||
\(657\) | 12.6490 | − | 14.7231i | 0.493486 | − | 0.574404i | ||||
\(658\) | −27.2173 | − | 17.2423i | −1.06104 | − | 0.672174i | ||||
\(659\) | −9.41425 | − | 12.9576i | −0.366727 | − | 0.504757i | 0.585280 | − | 0.810831i | \(-0.300984\pi\) |
−0.952008 | + | 0.306074i | \(0.900984\pi\) | |||||||
\(660\) | −16.0467 | − | 13.2761i | −0.624616 | − | 0.516772i | ||||
\(661\) | −9.98110 | − | 22.4179i | −0.388220 | − | 0.871956i | −0.996910 | − | 0.0785481i | \(-0.974972\pi\) |
0.608691 | − | 0.793408i | \(-0.291695\pi\) | |||||||
\(662\) | −3.90398 | − | 37.1439i | −0.151733 | − | 1.44364i | ||||
\(663\) | 0.0702668 | + | 6.03914i | 0.00272894 | + | 0.234541i | ||||
\(664\) | 0.121312 | − | 0.166972i | 0.00470783 | − | 0.00647977i | ||||
\(665\) | −23.1579 | + | 31.1555i | −0.898025 | + | 1.20816i | ||||
\(666\) | −7.93081 | − | 0.647399i | −0.307312 | − | 0.0250862i | ||||
\(667\) | −2.37103 | − | 11.1548i | −0.0918067 | − | 0.431916i | ||||
\(668\) | 10.3571 | + | 5.97967i | 0.400728 | + | 0.231360i | ||||
\(669\) | −20.7449 | − | 8.94848i | −0.802042 | − | 0.345968i | ||||
\(670\) | −16.2424 | − | 8.73431i | −0.627498 | − | 0.337436i | ||||
\(671\) | 11.5975 | + | 35.6933i | 0.447715 | + | 1.37792i | ||||
\(672\) | −20.9864 | − | 0.618384i | −0.809568 | − | 0.0238547i | ||||
\(673\) | −24.3861 | + | 33.5645i | −0.940014 | + | 1.29382i | 0.0158089 | + | 0.999875i | \(0.494968\pi\) |
−0.955823 | + | 0.293943i | \(0.905032\pi\) | |||||||
\(674\) | 14.1648 | − | 8.17806i | 0.545609 | − | 0.315007i | ||||
\(675\) | −0.244064 | + | 25.9796i | −0.00939404 | + | 0.999956i | ||||
\(676\) | 5.34669 | − | 9.26073i | 0.205642 | − | 0.356182i | ||||
\(677\) | 33.0643 | + | 3.47520i | 1.27076 | + | 0.133563i | 0.715796 | − | 0.698310i | \(-0.246064\pi\) |
0.554967 | + | 0.831872i | \(0.312731\pi\) | |||||||
\(678\) | −12.1682 | − | 13.2020i | −0.467318 | − | 0.507020i | ||||
\(679\) | −14.0395 | + | 9.34394i | −0.538787 | + | 0.358587i | ||||
\(680\) | 14.6323 | + | 12.3955i | 0.561121 | + | 0.475345i | ||||
\(681\) | −3.01625 | − | 4.05153i | −0.115583 | − | 0.155255i | ||||
\(682\) | 0.569752 | − | 0.986839i | 0.0218169 | − | 0.0377880i | ||||
\(683\) | 11.9574 | + | 13.2801i | 0.457538 | + | 0.508147i | 0.927132 | − | 0.374735i | \(-0.122266\pi\) |
−0.469594 | + | 0.882882i | \(0.655600\pi\) | |||||||
\(684\) | 7.27050 | + | 15.3578i | 0.277994 | + | 0.587220i | ||||
\(685\) | −16.9568 | − | 27.4223i | −0.647887 | − | 1.04775i | ||||
\(686\) | 23.6738 | − | 20.5335i | 0.903869 | − | 0.783972i | ||||
\(687\) | −43.1730 | − | 24.2606i | −1.64715 | − | 0.925601i | ||||
\(688\) | 19.5070 | − | 43.8134i | 0.743696 | − | 1.67037i | ||||
\(689\) | 7.60788 | − | 3.38725i | 0.289837 | − | 0.129044i | ||||
\(690\) | 45.6507 | − | 22.6588i | 1.73789 | − | 0.862606i | ||||
\(691\) | 3.50051 | − | 7.86227i | 0.133166 | − | 0.299095i | −0.834639 | − | 0.550797i | \(-0.814324\pi\) |
0.967805 | + | 0.251702i | \(0.0809904\pi\) | |||||||
\(692\) | −1.27263 | − | 0.413501i | −0.0483780 | − | 0.0157190i | ||||
\(693\) | −20.9139 | + | 44.8067i | −0.794452 | + | 1.70207i | ||||
\(694\) | −7.39060 | + | 22.7459i | −0.280543 | + | 0.863424i | ||||
\(695\) | −1.37409 | + | 7.58442i | −0.0521222 | + | 0.287693i | ||||
\(696\) | −1.07134 | − | 4.76687i | −0.0406092 | − | 0.180688i | ||||
\(697\) | 0.277603 | − | 1.30602i | 0.0105150 | − | 0.0494691i | ||||
\(698\) | −45.7748 | − | 4.81112i | −1.73260 | − | 0.182104i | ||||
\(699\) | −0.995259 | + | 0.457066i | −0.0376441 | + | 0.0172878i | ||||
\(700\) | −9.36603 | − | 6.53202i | −0.354003 | − | 0.246887i | ||||
\(701\) | 44.2893i | 1.67278i | 0.548132 | + | 0.836392i | \(0.315339\pi\) | ||||
−0.548132 | + | 0.836392i | \(0.684661\pi\) | |||||||
\(702\) | 6.37586 | + | 2.57603i | 0.240641 | + | 0.0972261i | ||||
\(703\) | 10.0608 | + | 2.13850i | 0.379451 | + | 0.0806549i | ||||
\(704\) | 2.86258 | − | 13.4674i | 0.107888 | − | 0.507571i | ||||
\(705\) | 27.8181 | + | 1.75136i | 1.04769 | + | 0.0659599i | ||||
\(706\) | −28.5064 | − | 9.26228i | −1.07285 | − | 0.348590i | ||||
\(707\) | −32.9253 | − | 8.42586i | −1.23828 | − | 0.316887i | ||||
\(708\) | 0.0613185 | + | 0.524617i | 0.00230449 | + | 0.0197163i | ||||
\(709\) | 4.37783 | + | 1.94914i | 0.164413 | + | 0.0732013i | 0.487293 | − | 0.873239i | \(-0.337984\pi\) |
−0.322880 | + | 0.946440i | \(0.604651\pi\) | |||||||
\(710\) | 7.10813 | + | 9.18659i | 0.266763 | + | 0.344766i | ||||
\(711\) | 4.27474 | − | 14.2786i | 0.160315 | − | 0.535488i | ||||
\(712\) | 3.42786 | + | 1.52618i | 0.128465 | + | 0.0571961i | ||||
\(713\) | 0.494126 | + | 0.680106i | 0.0185052 | + | 0.0254702i | ||||
\(714\) | −14.9853 | + | 31.1542i | −0.560813 | + | 1.16592i | ||||
\(715\) | 10.8647 | + | 0.811019i | 0.406317 | + | 0.0303304i | ||||
\(716\) | 3.88112 | − | 8.71713i | 0.145044 | − | 0.325775i | ||||
\(717\) | −9.91500 | + | 22.9855i | −0.370282 | + | 0.858409i | ||||
\(718\) | −6.77381 | − | 3.91086i | −0.252796 | − | 0.145952i | ||||
\(719\) | −2.71267 | + | 0.576597i | −0.101166 | + | 0.0215034i | −0.258216 | − | 0.966087i | \(-0.583135\pi\) |
0.157051 | + | 0.987591i | \(0.449801\pi\) | |||||||
\(720\) | 29.7564 | − | 15.2036i | 1.10895 | − | 0.566606i | ||||
\(721\) | 4.72851 | + | 2.34256i | 0.176099 | + | 0.0872416i | ||||
\(722\) | −12.5784 | − | 38.7124i | −0.468120 | − | 1.44073i | ||||
\(723\) | 4.04193 | − | 1.36549i | 0.150321 | − | 0.0507832i | ||||
\(724\) | −6.39963 | − | 3.69483i | −0.237840 | − | 0.137317i | ||||
\(725\) | 2.57232 | − | 6.86606i | 0.0955336 | − | 0.254999i | ||||
\(726\) | 66.4923 | + | 47.1373i | 2.46776 | + | 1.74943i | ||||
\(727\) | 38.5669 | + | 28.0205i | 1.43037 | + | 1.03922i | 0.989949 | + | 0.141428i | \(0.0451694\pi\) |
0.440417 | + | 0.897793i | \(0.354831\pi\) | |||||||
\(728\) | 3.31364 | − | 2.20538i | 0.122812 | − | 0.0817368i | ||||
\(729\) | 6.53202 | − | 26.1980i | 0.241927 | − | 0.970295i | ||||
\(730\) | −16.9229 | − | 17.6897i | −0.626345 | − | 0.654724i | ||||
\(731\) | −28.7225 | − | 31.8996i | −1.06234 | − | 1.17985i | ||||
\(732\) | 8.96783 | + | 0.837191i | 0.331461 | + | 0.0309435i | ||||
\(733\) | −28.2222 | + | 5.99882i | −1.04241 | + | 0.221571i | −0.697143 | − | 0.716932i | \(-0.745546\pi\) |
−0.345269 | + | 0.938504i | \(0.612212\pi\) | |||||||
\(734\) | 5.37885 | − | 3.90796i | 0.198537 | − | 0.144246i | ||||
\(735\) | −9.41072 | + | 25.4252i | −0.347120 | + | 0.937821i | ||||
\(736\) | −28.8253 | − | 20.9428i | −1.06252 | − | 0.771963i | ||||
\(737\) | 27.7395 | + | 12.3504i | 1.02180 | + | 0.454933i | ||||
\(738\) | −1.25037 | − | 0.864722i | −0.0460266 | − | 0.0318309i | ||||
\(739\) | −25.3952 | + | 11.3067i | −0.934177 | + | 0.415922i | −0.816641 | − | 0.577146i | \(-0.804166\pi\) |
−0.117536 | + | 0.993069i | \(0.537500\pi\) | |||||||
\(740\) | −0.539364 | + | 2.97707i | −0.0198274 | + | 0.109439i | ||||
\(741\) | −7.74912 | − | 4.35454i | −0.284671 | − | 0.159968i | ||||
\(742\) | 47.6292 | + | 1.95829i | 1.74852 | + | 0.0718910i | ||||
\(743\) | −33.7698 | −1.23889 | −0.619447 | − | 0.785038i | \(-0.712643\pi\) | ||||
−0.619447 | + | 0.785038i | \(0.712643\pi\) | |||||||
\(744\) | 0.215072 | + | 0.288892i | 0.00788492 | + | 0.0105913i | ||||
\(745\) | 14.8653 | − | 21.8171i | 0.544624 | − | 0.799316i | ||||
\(746\) | 12.6844 | − | 59.6754i | 0.464409 | − | 2.18487i | ||||
\(747\) | −0.319246 | + | 0.0410846i | −0.0116806 | + | 0.00150321i | ||||
\(748\) | 19.3959 | + | 14.0919i | 0.709183 | + | 0.515252i | ||||
\(749\) | 20.5392 | − | 21.0073i | 0.750486 | − | 0.767592i | ||||
\(750\) | 32.5793 | + | 3.50503i | 1.18963 | + | 0.127986i | ||||
\(751\) | −14.8362 | − | 25.6971i | −0.541382 | − | 0.937702i | −0.998825 | − | 0.0484625i | \(-0.984568\pi\) |
0.457443 | − | 0.889239i | \(-0.348765\pi\) | |||||||
\(752\) | −14.5813 | − | 32.7501i | −0.531725 | − | 1.19427i | ||||
\(753\) | 5.13688 | − | 1.15450i | 0.187198 | − | 0.0420724i | ||||
\(754\) | −1.44219 | − | 1.29856i | −0.0525216 | − | 0.0472906i | ||||
\(755\) | −1.65077 | + | 22.1143i | −0.0600778 | + | 0.804823i | ||||
\(756\) | 7.88572 | + | 8.86772i | 0.286801 | + | 0.322516i | ||||
\(757\) | − | 19.2794i | − | 0.700723i | −0.936614 | − | 0.350362i | \(-0.886059\pi\) | ||
0.936614 | − | 0.350362i | \(-0.113941\pi\) | |||||||
\(758\) | 22.8027 | − | 4.84687i | 0.828232 | − | 0.176046i | ||||
\(759\) | −72.1783 | + | 42.7995i | −2.61991 | + | 1.55352i | ||||
\(760\) | −26.5668 | + | 9.52847i | −0.963678 | + | 0.345634i | ||||
\(761\) | −2.51121 | + | 23.8926i | −0.0910313 | + | 0.866105i | 0.849772 | + | 0.527151i | \(0.176740\pi\) |
−0.940803 | + | 0.338954i | \(0.889927\pi\) | |||||||
\(762\) | 2.50333 | + | 1.40672i | 0.0906860 | + | 0.0509601i | ||||
\(763\) | −48.3054 | + | 19.1699i | −1.74877 | + | 0.693999i | ||||
\(764\) | −5.11678 | + | 7.04265i | −0.185119 | + | 0.254794i | ||||
\(765\) | −1.59871 | − | 29.8649i | −0.0578013 | − | 1.07977i | ||||
\(766\) | 35.2688 | − | 3.70690i | 1.27431 | − | 0.133936i | ||||
\(767\) | −0.184886 | − | 0.205336i | −0.00667583 | − | 0.00741426i | ||||
\(768\) | −24.6043 | − | 17.4423i | −0.887830 | − | 0.629395i | ||||
\(769\) | −41.7440 | − | 13.5635i | −1.50533 | − | 0.489111i | −0.563761 | − | 0.825938i | \(-0.690646\pi\) |
−0.941566 | + | 0.336827i | \(0.890646\pi\) | |||||||
\(770\) | 53.6659 | + | 31.7676i | 1.93399 | + | 1.14482i | ||||
\(771\) | 10.7755 | − | 9.93171i | 0.388069 | − | 0.357682i | ||||
\(772\) | −9.64613 | − | 8.68542i | −0.347172 | − | 0.312595i | ||||
\(773\) | −12.6039 | − | 28.3088i | −0.453331 | − | 1.01820i | −0.985206 | − | 0.171375i | \(-0.945179\pi\) |
0.531875 | − | 0.846823i | \(-0.321488\pi\) | |||||||
\(774\) | −46.1183 | + | 16.1804i | −1.65769 | + | 0.581594i | ||||
\(775\) | 0.0326374 | + | 0.539505i | 0.00117237 | + | 0.0193796i | ||||
\(776\) | −12.2615 | −0.440162 | ||||||||
\(777\) | 7.16295 | − | 0.540121i | 0.256970 | − | 0.0193767i | ||||
\(778\) | −37.7849 | + | 12.2770i | −1.35465 | + | 0.440154i | ||||
\(779\) | 1.46035 | + | 1.31491i | 0.0523226 | + | 0.0471115i | ||||
\(780\) | 1.21146 | − | 2.31707i | 0.0433773 | − | 0.0829645i | ||||
\(781\) | −12.7970 | − | 14.2126i | −0.457914 | − | 0.508565i | ||||
\(782\) | −50.8080 | + | 29.3340i | −1.81689 | + | 1.04898i | ||||
\(783\) | −4.26092 | + | 6.31704i | −0.152273 | + | 0.225753i | ||||
\(784\) | 34.5870 | − | 4.42529i | 1.23525 | − | 0.158046i | ||||
\(785\) | 0.527107 | − | 7.06131i | 0.0188133 | − | 0.252029i | ||||
\(786\) | 2.09698 | + | 6.20715i | 0.0747966 | + | 0.221402i | ||||
\(787\) | 2.38656 | + | 22.7066i | 0.0850717 | + | 0.809403i | 0.950991 | + | 0.309219i | \(0.100068\pi\) |
−0.865919 | + | 0.500184i | \(0.833266\pi\) | |||||||
\(788\) | −0.167052 | − | 1.58939i | −0.00595097 | − | 0.0566197i | ||||
\(789\) | 9.76189 | + | 28.8957i | 0.347532 | + | 1.02871i | ||||
\(790\) | −17.3960 | − | 7.12363i | −0.618920 | − | 0.253447i | ||||
\(791\) | 12.7102 | + | 10.0576i | 0.451924 | + | 0.357605i | ||||
\(792\) | −30.7076 | + | 18.6949i | −1.09115 | + | 0.664296i | ||||
\(793\) | −4.08043 | + | 2.35584i | −0.144900 | + | 0.0836583i | ||||
\(794\) | 29.3138 | + | 32.5562i | 1.04031 | + | 1.15538i | ||||
\(795\) | −36.9394 | + | 18.3349i | −1.31010 | + | 0.650272i | ||||
\(796\) | 15.7363 | + | 14.1690i | 0.557757 | + | 0.502207i | ||||
\(797\) | 1.25598 | − | 0.408093i | 0.0444891 | − | 0.0144554i | −0.286688 | − | 0.958024i | \(-0.592554\pi\) |
0.331177 | + | 0.943569i | \(0.392554\pi\) | |||||||
\(798\) | −28.6813 | − | 42.0260i | −1.01531 | − | 1.48771i | ||||
\(799\) | −32.0862 | −1.13513 | ||||||||
\(800\) | −8.38162 | − | 21.3196i | −0.296335 | − | 0.753760i | ||||
\(801\) | −1.93735 | − | 5.52194i | −0.0684530 | − | 0.195108i | ||||
\(802\) | −23.3728 | − | 52.4961i | −0.825321 | − | 1.85370i | ||||
\(803\) | 29.9545 | + | 26.9711i | 1.05707 | + | 0.951790i | ||||
\(804\) | 5.35833 | − | 4.93875i | 0.188974 | − | 0.174176i | ||||
\(805\) | −37.5134 | + | 26.6363i | −1.32217 | + | 0.938805i | ||||
\(806\) | 0.136056 | + | 0.0442072i | 0.00479236 | + | 0.00155713i | ||||
\(807\) | −12.7656 | − | 9.04969i | −0.449369 | − | 0.318564i | ||||
\(808\) | −16.5341 | − | 18.3630i | −0.581669 | − | 0.646009i | ||||
\(809\) | 38.6834 | − | 4.06579i | 1.36004 | − | 0.142946i | 0.603743 | − | 0.797179i | \(-0.293675\pi\) |
0.756293 | + | 0.654233i | \(0.227009\pi\) | |||||||
\(810\) | −32.0791 | − | 11.4245i | −1.12715 | − | 0.401416i | ||||
\(811\) | −11.1862 | + | 15.3965i | −0.392801 | + | 0.540644i | −0.958919 | − | 0.283680i | \(-0.908445\pi\) |
0.566118 | + | 0.824324i | \(0.308445\pi\) | |||||||
\(812\) | −1.23531 | − | 3.11280i | −0.0433510 | − | 0.109238i | ||||
\(813\) | −8.07135 | − | 4.53562i | −0.283075 | − | 0.159071i | ||||
\(814\) | 1.72721 | − | 16.4333i | 0.0605386 | − | 0.575987i | ||||
\(815\) | −0.573798 | − | 18.9874i | −0.0200993 | − | 0.665100i | ||||
\(816\) | −33.0866 | + | 19.6193i | −1.15826 | + | 0.686814i | ||||
\(817\) | 61.7953 | − | 13.1350i | 2.16194 | − | 0.459535i | ||||
\(818\) | 55.0511i | 1.92482i | ||||||||
\(819\) | −6.04817 | − | 1.39868i | −0.211340 | − | 0.0488740i | ||||
\(820\) | −0.373631 | + | 0.441054i | −0.0130478 | + | 0.0154023i | ||||
\(821\) | −8.66398 | − | 7.80108i | −0.302375 | − | 0.272260i | 0.503950 | − | 0.863733i | \(-0.331880\pi\) |
−0.806324 | + | 0.591474i | \(0.798546\pi\) | |||||||
\(822\) | 41.2302 | − | 9.26639i | 1.43807 | − | 0.323203i | ||||
\(823\) | −8.81581 | − | 19.8006i | −0.307300 | − | 0.690207i | 0.692204 | − | 0.721702i | \(-0.256640\pi\) |
−0.999504 | + | 0.0314950i | \(0.989973\pi\) | |||||||
\(824\) | 1.91832 | + | 3.32262i | 0.0668278 | + | 0.115749i | ||||
\(825\) | −53.9226 | − | 1.76193i | −1.87734 | − | 0.0613426i | ||||
\(826\) | −0.426538 | − | 1.52301i | −0.0148411 | − | 0.0529922i | ||||
\(827\) | 29.8140 | + | 21.6611i | 1.03673 | + | 0.753231i | 0.969645 | − | 0.244516i | \(-0.0786292\pi\) |
0.0670880 | + | 0.997747i | \(0.478629\pi\) | |||||||
\(828\) | 2.57046 | + | 19.9736i | 0.0893297 | + | 0.694132i | ||||
\(829\) | 4.62096 | − | 21.7399i | 0.160492 | − | 0.755057i | −0.822109 | − | 0.569330i | \(-0.807203\pi\) |
0.982601 | − | 0.185727i | \(-0.0594641\pi\) | |||||||
\(830\) | 0.0122624 | + | 0.405772i | 0.000425634 | + | 0.0140846i | ||||
\(831\) | 11.4672 | + | 15.4032i | 0.397794 | + | 0.534331i | ||||
\(832\) | 1.72852 | 0.0599256 | ||||||||
\(833\) | 8.97272 | − | 29.8909i | 0.310886 | − | 1.03566i | ||||
\(834\) | −8.80733 | − | 4.94919i | −0.304973 | − | 0.171377i | ||||
\(835\) | 30.6990 | − | 4.16755i | 1.06238 | − | 0.144224i | ||||
\(836\) | −32.2345 | + | 14.3517i | −1.11485 | + | 0.496365i | ||||
\(837\) | 0.0975387 | − | 0.553162i | 0.00337143 | − | 0.0191201i | ||||
\(838\) | −31.7774 | − | 14.1482i | −1.09773 | − | 0.488741i | ||||
\(839\) | −25.3947 | − | 18.4503i | −0.876721 | − | 0.636975i | 0.0556608 | − | 0.998450i | \(-0.482273\pi\) |
−0.932382 | + | 0.361475i | \(0.882273\pi\) | |||||||
\(840\) | −15.9378 | + | 11.5979i | −0.549908 | + | 0.400165i | ||||
\(841\) | −21.7218 | + | 15.7818i | −0.749027 | + | 0.544200i | ||||
\(842\) | 49.8059 | − | 10.5866i | 1.71642 | − | 0.364837i | ||||
\(843\) | 2.72689 | + | 0.254569i | 0.0939193 | + | 0.00876782i | ||||
\(844\) | −6.36364 | − | 7.06754i | −0.219046 | − | 0.243275i | ||||
\(845\) | −3.72639 | − | 27.4493i | −0.128192 | − | 0.944285i | ||||
\(846\) | −14.0788 | + | 33.7114i | −0.484040 | + | 1.15902i | ||||
\(847\) | −65.9311 | − | 32.6631i | −2.26542 | − | 1.12232i | ||||
\(848\) | 42.9107 | + | 31.1764i | 1.47356 | + | 1.07060i | ||||
\(849\) | −5.92868 | − | 4.20292i | −0.203472 | − | 0.144244i | ||||
\(850\) | −37.6830 | − | 1.67038i | −1.29251 | − | 0.0572937i | ||||
\(851\) | 10.5571 | + | 6.09514i | 0.361892 | + | 0.208939i | ||||
\(852\) | −4.34833 | + | 1.46900i | −0.148971 | + | 0.0503273i | ||||
\(853\) | −14.4309 | − | 44.4138i | −0.494105 | − | 1.52070i | −0.818346 | − | 0.574726i | \(-0.805109\pi\) |
0.324241 | − | 0.945975i | \(-0.394891\pi\) | |||||||
\(854\) | −26.9155 | + | 1.71488i | −0.921029 | + | 0.0586821i | ||||
\(855\) | 39.2419 | + | 19.9394i | 1.34205 | + | 0.681914i | ||||
\(856\) | 20.8938 | − | 4.44112i | 0.714136 | − | 0.151794i | ||||
\(857\) | 14.9406 | + | 8.62594i | 0.510360 | + | 0.294657i | 0.732982 | − | 0.680248i | \(-0.238128\pi\) |
−0.222622 | + | 0.974905i | \(0.571461\pi\) | |||||||
\(858\) | −5.65598 | + | 13.1120i | −0.193092 | + | 0.447637i | ||||
\(859\) | 5.79817 | − | 13.0229i | 0.197831 | − | 0.444336i | −0.787203 | − | 0.616693i | \(-0.788472\pi\) |
0.985034 | + | 0.172358i | \(0.0551385\pi\) | |||||||
\(860\) | 4.41099 | + | 18.0522i | 0.150413 | + | 0.615576i | ||||
\(861\) | 1.23676 | + | 0.594887i | 0.0421487 | + | 0.0202737i | ||||
\(862\) | 21.6584 | + | 29.8103i | 0.737690 | + | 1.01534i | ||||
\(863\) | −6.54626 | − | 2.91458i | −0.222837 | − | 0.0992135i | 0.292282 | − | 0.956332i | \(-0.405586\pi\) |
−0.515119 | + | 0.857119i | \(0.672252\pi\) | |||||||
\(864\) | 3.31319 | + | 23.5750i | 0.112717 | + | 0.802037i | ||||
\(865\) | −3.26287 | + | 1.17026i | −0.110941 | + | 0.0397902i | ||||
\(866\) | −57.6777 | − | 25.6798i | −1.95997 | − | 0.872634i | ||||
\(867\) | 0.578522 | + | 4.94961i | 0.0196476 | + | 0.168098i | ||||
\(868\) | 0.176520 | + | 0.172586i | 0.00599149 | + | 0.00585796i | ||||
\(869\) | 29.4361 | + | 9.56438i | 0.998553 | + | 0.324449i | ||||
\(870\) | 7.40446 | + | 6.12603i | 0.251035 | + | 0.207692i | ||||
\(871\) | −0.792578 | + | 3.72878i | −0.0268555 | + | 0.126345i | ||||
\(872\) | −36.9594 | − | 7.85596i | −1.25160 | − | 0.266036i | ||||
\(873\) | 13.1228 | + | 13.9094i | 0.444139 | + | 0.470761i | ||||
\(874\) | − | 86.3456i | − | 2.92068i | ||||||
\(875\) | −29.5441 | + | 1.46482i | −0.998773 | + | 0.0495198i | ||||
\(876\) | 8.79072 | − | 4.03708i | 0.297011 | − | 0.136400i | ||||
\(877\) | 35.8239 | + | 3.76525i | 1.20969 | + | 0.127143i | 0.687819 | − | 0.725882i | \(-0.258568\pi\) |
0.521869 | + | 0.853026i | \(0.325235\pi\) | |||||||
\(878\) | −9.35830 | + | 44.0273i | −0.315827 | + | 1.48585i | ||||
\(879\) | 6.62865 | + | 29.4938i | 0.223579 | + | 0.994800i | ||||
\(880\) | 30.1255 | + | 62.5097i | 1.01553 | + | 2.10720i | ||||
\(881\) | −2.83357 | + | 8.72085i | −0.0954656 | + | 0.293813i | −0.987375 | − | 0.158402i | \(-0.949366\pi\) |
0.891909 | + | 0.452215i | \(0.149366\pi\) | |||||||
\(882\) | −27.4679 | − | 22.5428i | −0.924893 | − | 0.759055i | ||||
\(883\) | 32.2841 | + | 10.4897i | 1.08645 | + | 0.353008i | 0.796872 | − | 0.604148i | \(-0.206486\pi\) |
0.289574 | + | 0.957156i | \(0.406486\pi\) | |||||||
\(884\) | −1.22422 | + | 2.74965i | −0.0411750 | + | 0.0924806i | ||||
\(885\) | 0.957285 | + | 0.977630i | 0.0321788 | + | 0.0328627i | ||||
\(886\) | 12.0084 | − | 5.34647i | 0.403429 | − | 0.179618i | ||||
\(887\) | −5.03250 | + | 11.3032i | −0.168975 | + | 0.379524i | −0.978107 | − | 0.208103i | \(-0.933271\pi\) |
0.809132 | + | 0.587627i | \(0.199938\pi\) | |||||||
\(888\) | 4.55301 | + | 2.55852i | 0.152789 | + | 0.0858582i | ||||
\(889\) | −2.43036 | − | 0.901643i | −0.0815118 | − | 0.0302401i | ||||
\(890\) | −7.16960 | + | 1.75186i | −0.240326 | + | 0.0587226i | ||||
\(891\) | 54.0721 | + | 14.8265i | 1.81148 | + | 0.496705i | ||||
\(892\) | −7.53388 | − | 8.36722i | −0.252253 | − | 0.280155i | ||||
\(893\) | 23.6117 | − | 40.8967i | 0.790135 | − | 1.36855i | ||||
\(894\) | 20.6630 | + | 27.7553i | 0.691076 | + | 0.928277i | ||||
\(895\) | −5.86730 | − | 24.0123i | −0.196122 | − | 0.802642i | ||||
\(896\) | 30.5896 | + | 15.1545i | 1.02193 | + | 0.506276i | ||||
\(897\) | −7.13979 | − | 7.74636i | −0.238391 | − | 0.258644i | ||||
\(898\) | 45.9189 | + | 4.82627i | 1.53233 | + | 0.161055i | ||||
\(899\) | −0.0792587 | + | 0.137280i | −0.00264343 | + | 0.00457855i | ||||
\(900\) | −5.51388 | + | 11.7150i | −0.183796 | + | 0.390500i | ||||
\(901\) | 41.1125 | − | 23.7363i | 1.36966 | − | 0.790771i | ||||
\(902\) | 1.85560 | − | 2.55402i | 0.0617847 | − | 0.0850394i | ||||
\(903\) | 38.8431 | − | 20.9255i | 1.29262 | − | 0.696358i | ||||
\(904\) | 3.64152 | + | 11.2074i | 0.121115 | + | 0.372754i | ||||
\(905\) | −18.9689 | + | 2.57512i | −0.630546 | + | 0.0856000i | ||||
\(906\) | −26.6886 | − | 11.5124i | −0.886669 | − | 0.382472i | ||||
\(907\) | 20.2726 | + | 11.7044i | 0.673142 | + | 0.388639i | 0.797266 | − | 0.603628i | \(-0.206279\pi\) |
−0.124124 | + | 0.992267i | \(0.539612\pi\) | |||||||
\(908\) | −0.523358 | − | 2.46221i | −0.0173683 | − | 0.0817112i | ||||
\(909\) | −3.13537 | + | 38.4091i | −0.103994 | + | 1.27395i | ||||
\(910\) | −2.50028 | + | 7.41939i | −0.0828835 | + | 0.245950i | ||||
\(911\) | 1.43188 | − | 1.97081i | 0.0474402 | − | 0.0652958i | −0.784638 | − | 0.619954i | \(-0.787151\pi\) |
0.832078 | + | 0.554659i | \(0.187151\pi\) | |||||||
\(912\) | −0.658663 | − | 56.6093i | −0.0218105 | − | 1.87452i | ||||
\(913\) | −0.0698679 | − | 0.664748i | −0.00231229 | − | 0.0220000i | ||||
\(914\) | 10.5075 | + | 23.6002i | 0.347556 | + | 0.780624i | ||||
\(915\) | 19.7005 | − | 12.5011i | 0.651278 | − | 0.413275i | ||||
\(916\) | −14.5066 | − | 19.9666i | −0.479310 | − | 0.659713i | ||||
\(917\) | −2.74437 | − | 5.23934i | −0.0906272 | − | 0.173018i | ||||
\(918\) | 37.6812 | + | 10.8050i | 1.24366 | + | 0.356618i | ||||
\(919\) | 3.00272 | − | 0.638249i | 0.0990507 | − | 0.0210539i | −0.158120 | − | 0.987420i | \(-0.550543\pi\) |
0.257170 | + | 0.966366i | \(0.417210\pi\) | |||||||
\(920\) | −33.4350 | + | 1.01040i | −1.10232 | + | 0.0333121i | ||||
\(921\) | 33.5801 | − | 7.54704i | 1.10650 | − | 0.248683i | ||||
\(922\) | −12.7401 | + | 14.1493i | −0.419573 | + | 0.465983i | ||||
\(923\) | 1.41128 | − | 1.94246i | 0.0464528 | − | 0.0639368i | ||||
\(924\) | −18.7906 | + | 15.9425i | −0.618167 | + | 0.524470i | ||||
\(925\) | 3.61438 | + | 6.95445i | 0.118840 | + | 0.228661i | ||||
\(926\) | 35.3670 | − | 20.4191i | 1.16223 | − | 0.671014i | ||||
\(927\) | 1.71610 | − | 5.73215i | 0.0563642 | − | 0.188268i | ||||
\(928\) | 1.39686 | − | 6.57172i | 0.0458543 | − | 0.215727i | ||||
\(929\) | −16.2301 | + | 18.0254i | −0.532493 | + | 0.591393i | −0.948029 | − | 0.318184i | \(-0.896927\pi\) |
0.415537 | + | 0.909576i | \(0.363594\pi\) | |||||||
\(930\) | −0.682313 | − | 0.190536i | −0.0223739 | − | 0.00624793i | ||||
\(931\) | 31.4958 | + | 33.4328i | 1.03223 | + | 1.09572i | ||||
\(932\) | −0.545799 | −0.0178783 | ||||||||
\(933\) | 4.21749 | − | 3.13980i | 0.138074 | − | 0.102792i | ||||
\(934\) | 22.9639 | − | 2.41360i | 0.751400 | − | 0.0789754i | ||||
\(935\) | 62.0777 | − | 1.87598i | 2.03016 | − | 0.0613512i | ||||
\(936\) | −3.09728 | − | 3.28293i | −0.101238 | − | 0.107306i | ||||
\(937\) | −12.3315 | + | 8.95938i | −0.402853 | + | 0.292690i | −0.770702 | − | 0.637196i | \(-0.780094\pi\) |
0.367849 | + | 0.929886i | \(0.380094\pi\) | |||||||
\(938\) | −13.5403 | + | 17.1115i | −0.442106 | + | 0.558712i | ||||
\(939\) | 25.4785 | + | 5.10655i | 0.831460 | + | 0.166646i | ||||
\(940\) | 12.2341 | + | 6.57889i | 0.399034 | + | 0.214580i | ||||
\(941\) | −1.25276 | − | 11.9192i | −0.0408388 | − | 0.388556i | −0.995781 | − | 0.0917632i | \(-0.970750\pi\) |
0.954942 | − | 0.296792i | \(-0.0959170\pi\) | |||||||
\(942\) | 8.52191 | + | 3.67600i | 0.277659 | + | 0.119771i | ||||
\(943\) | 1.16450 | + | 2.01697i | 0.0379213 | + | 0.0656816i | ||||
\(944\) | 0.543812 | − | 1.67368i | 0.0176996 | − | 0.0544737i | ||||
\(945\) | 30.2139 | + | 5.66727i | 0.982860 | + | 0.184356i | ||||
\(946\) | −31.3628 | − | 96.5247i | −1.01969 | − | 3.13829i | ||||
\(947\) | 8.72833 | − | 9.69379i | 0.283633 | − | 0.315006i | −0.584446 | − | 0.811433i | \(-0.698688\pi\) |
0.868079 | + | 0.496427i | \(0.165355\pi\) | |||||||
\(948\) | 4.90567 | − | 5.57746i | 0.159329 | − | 0.181147i | ||||
\(949\) | −2.53019 | + | 4.38242i | −0.0821334 | + | 0.142259i | ||||
\(950\) | 29.8593 | − | 46.8010i | 0.968764 | − | 1.51843i | ||||
\(951\) | 0.619724 | − | 0.284604i | 0.0200959 | − | 0.00922892i | ||||
\(952\) | 17.4717 | − | 14.4773i | 0.566261 | − | 0.469211i | ||||
\(953\) | −8.67131 | − | 26.6876i | −0.280891 | − | 0.864495i | −0.987600 | − | 0.156990i | \(-0.949821\pi\) |
0.706709 | − | 0.707505i | \(-0.250179\pi\) | |||||||
\(954\) | −6.89921 | − | 53.6099i | −0.223370 | − | 1.73569i | ||||
\(955\) | 0.681170 | + | 22.5404i | 0.0220421 | + | 0.729391i | ||||
\(956\) | −9.27096 | + | 8.34761i | −0.299844 | + | 0.269981i | ||||
\(957\) | −12.9085 | − | 9.15101i | −0.417272 | − | 0.295810i | ||||
\(958\) | −22.2868 | + | 68.5918i | −0.720054 | + | 2.21610i | ||||
\(959\) | −35.4586 | + | 14.0717i | −1.14502 | + | 0.454399i | ||||
\(960\) | −8.55209 | + | 0.358075i | −0.276017 | + | 0.0115568i | ||||
\(961\) | −3.23916 | + | 30.8186i | −0.104489 | + | 0.994147i | ||||
\(962\) | 2.06310 | − | 0.216840i | 0.0665169 | − | 0.00699121i | ||||
\(963\) | −27.3995 | − | 18.9488i | −0.882935 | − | 0.610616i | ||||
\(964\) | 2.11453 | + | 0.222246i | 0.0681043 | + | 0.00715805i | ||||
\(965\) | −33.5317 | − | 2.50305i | −1.07942 | − | 0.0805759i | ||||
\(966\) | −16.9372 | − | 57.8749i | −0.544945 | − | 1.86209i | ||||
\(967\) | 28.9696 | + | 9.41278i | 0.931598 | + | 0.302695i | 0.735216 | − | 0.677833i | \(-0.237081\pi\) |
0.196382 | + | 0.980527i | \(0.437081\pi\) | |||||||
\(968\) | −26.7477 | − | 46.3284i | −0.859705 | − | 1.48905i | ||||
\(969\) | −46.5262 | − | 20.0695i | −1.49464 | − | 0.644725i | ||||
\(970\) | 19.0746 | − | 14.7590i | 0.612449 | − | 0.473883i | ||||
\(971\) | 24.7805 | − | 27.5215i | 0.795243 | − | 0.883206i | −0.200083 | − | 0.979779i | \(-0.564121\pi\) |
0.995326 | + | 0.0965724i | \(0.0307879\pi\) | |||||||
\(972\) | 8.40700 | − | 10.5061i | 0.269655 | − | 0.336983i | ||||
\(973\) | 8.55063 | + | 3.17221i | 0.274120 | + | 0.101696i | ||||
\(974\) | 53.6725i | 1.71978i | ||||||||
\(975\) | −1.19112 | − | 6.66770i | −0.0381465 | − | 0.213537i | ||||
\(976\) | −25.9884 | − | 15.0044i | −0.831869 | − | 0.480280i | ||||
\(977\) | 32.9508 | − | 14.6706i | 1.05419 | − | 0.469355i | 0.194888 | − | 0.980826i | \(-0.437566\pi\) |
0.859301 | + | 0.511471i | \(0.170899\pi\) | |||||||
\(978\) | 23.7673 | + | 7.41788i | 0.759994 | + | 0.237198i | ||||
\(979\) | 11.5573 | − | 3.75520i | 0.369373 | − | 0.120017i | ||||
\(980\) | −9.54999 | + | 9.55737i | −0.305063 | + | 0.305299i | ||||
\(981\) | 30.6438 | + | 50.3343i | 0.978380 | + | 1.60705i | ||||
\(982\) | −55.6749 | + | 32.1439i | −1.77666 | + | 1.02575i | ||||
\(983\) | −7.39754 | + | 6.66078i | −0.235945 | + | 0.212446i | −0.778618 | − | 0.627498i | \(-0.784079\pi\) |
0.542673 | + | 0.839944i | \(0.317412\pi\) | |||||||
\(984\) | 0.508921 | + | 0.858260i | 0.0162238 | + | 0.0273603i | ||||
\(985\) | −2.86186 | − | 2.99153i | −0.0911864 | − | 0.0953180i | ||||
\(986\) | −8.94988 | − | 6.50247i | −0.285022 | − | 0.207081i | ||||
\(987\) | 7.80410 | − | 32.0434i | 0.248407 | − | 1.01995i | ||||
\(988\) | −2.60378 | − | 3.58380i | −0.0828373 | − | 0.114016i | ||||
\(989\) | 74.4646 | + | 7.82654i | 2.36784 | + | 0.248870i | ||||
\(990\) | 25.2675 | − | 66.0452i | 0.803054 | − | 2.09905i | ||||
\(991\) | 2.13955 | + | 20.3564i | 0.0679650 | + | 0.646644i | 0.974481 | + | 0.224472i | \(0.0720656\pi\) |
−0.906516 | + | 0.422172i | \(0.861268\pi\) | |||||||
\(992\) | 0.102971 | + | 0.484440i | 0.00326933 | + | 0.0153810i | ||||
\(993\) | 34.7420 | − | 15.9550i | 1.10250 | − | 0.506317i | ||||
\(994\) | 12.1746 | − | 6.37704i | 0.386153 | − | 0.202268i | ||||
\(995\) | 54.7021 | + | 4.08336i | 1.73417 | + | 0.129451i | ||||
\(996\) | −0.153126 | − | 0.0477914i | −0.00485199 | − | 0.00151433i | ||||
\(997\) | −44.9436 | − | 9.55307i | −1.42338 | − | 0.302549i | −0.569060 | − | 0.822296i | \(-0.692693\pi\) |
−0.854320 | + | 0.519748i | \(0.826026\pi\) | |||||||
\(998\) | −43.3455 | + | 19.2987i | −1.37208 | + | 0.610889i | ||||
\(999\) | −1.97045 | − | 7.90314i | −0.0623424 | − | 0.250044i |
(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 | 525.2.bp.a.59.18 | ✓ | 608 | |
3.2 | odd | 2 | inner | 525.2.bp.a.59.59 | yes | 608 | |
7.5 | odd | 6 | inner | 525.2.bp.a.509.59 | yes | 608 | |
21.5 | even | 6 | inner | 525.2.bp.a.509.18 | yes | 608 | |
25.14 | even | 10 | inner | 525.2.bp.a.164.18 | yes | 608 | |
75.14 | odd | 10 | inner | 525.2.bp.a.164.59 | yes | 608 | |
175.89 | odd | 30 | inner | 525.2.bp.a.89.59 | yes | 608 | |
525.89 | even | 30 | inner | 525.2.bp.a.89.18 | yes | 608 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
525.2.bp.a.59.18 | ✓ | 608 | 1.1 | even | 1 | trivial | |
525.2.bp.a.59.59 | yes | 608 | 3.2 | odd | 2 | inner | |
525.2.bp.a.89.18 | yes | 608 | 525.89 | even | 30 | inner | |
525.2.bp.a.89.59 | yes | 608 | 175.89 | odd | 30 | inner | |
525.2.bp.a.164.18 | yes | 608 | 25.14 | even | 10 | inner | |
525.2.bp.a.164.59 | yes | 608 | 75.14 | odd | 10 | inner | |
525.2.bp.a.509.18 | yes | 608 | 21.5 | even | 6 | inner | |
525.2.bp.a.509.59 | yes | 608 | 7.5 | odd | 6 | inner |