Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [429,2,Mod(7,429)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(429, base_ring=CyclotomicField(60))
chi = DirichletCharacter(H, H._module([0, 42, 55]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("429.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 429 = 3 \cdot 11 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 429.bs (of order \(60\), degree \(16\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.42558224671\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{60})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{60}]$ |
Embedding invariants
Embedding label | 7.6 | ||
Character | \(\chi\) | \(=\) | 429.7 |
Dual form | 429.2.bs.a.184.6 |
$q$-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 \(\left(\mathbb{Z}/429\mathbb{Z}\right)^\times\).
\(n\) | \(67\) | \(79\) | \(287\) |
\(\chi(n)\) | \(e\left(\frac{11}{12}\right)\) | \(e\left(\frac{7}{10}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.185537 | + | 0.483339i | −0.131194 | + | 0.341773i | −0.983404 | − | 0.181427i | \(-0.941928\pi\) |
0.852210 | + | 0.523200i | \(0.175262\pi\) | |||||||
\(3\) | −0.669131 | − | 0.743145i | −0.386323 | − | 0.429055i | ||||
\(4\) | 1.28710 | + | 1.15891i | 0.643548 | + | 0.579453i | ||||
\(5\) | 3.92281 | + | 0.621313i | 1.75434 | + | 0.277859i | 0.949072 | − | 0.315058i | \(-0.102024\pi\) |
0.805263 | + | 0.592918i | \(0.202024\pi\) | |||||||
\(6\) | 0.483339 | − | 0.185537i | 0.197323 | − | 0.0757450i | ||||
\(7\) | 1.27804 | − | 0.0669792i | 0.483053 | − | 0.0253158i | 0.190744 | − | 0.981640i | \(-0.438910\pi\) |
0.292309 | + | 0.956324i | \(0.405576\pi\) | |||||||
\(8\) | −1.72154 | + | 0.877171i | −0.608658 | + | 0.310127i | ||||
\(9\) | −0.104528 | + | 0.994522i | −0.0348428 | + | 0.331507i | ||||
\(10\) | −1.02813 | + | 1.78077i | −0.325123 | + | 0.563130i | ||||
\(11\) | 3.30785 | + | 0.241030i | 0.997356 | + | 0.0726734i | ||||
\(12\) | − | 1.73196i | − | 0.499974i | ||||||
\(13\) | −2.73918 | − | 2.34454i | −0.759713 | − | 0.650259i | ||||
\(14\) | −0.204749 | + | 0.630154i | −0.0547216 | + | 0.168416i | ||||
\(15\) | −2.16315 | − | 3.33096i | −0.558523 | − | 0.860050i | ||||
\(16\) | 0.257516 | + | 2.45010i | 0.0643791 | + | 0.612526i | ||||
\(17\) | −5.39478 | − | 2.40191i | −1.30843 | − | 0.582549i | −0.370322 | − | 0.928903i | \(-0.620753\pi\) |
−0.938104 | + | 0.346354i | \(0.887419\pi\) | |||||||
\(18\) | −0.461298 | − | 0.235043i | −0.108729 | − | 0.0554002i | ||||
\(19\) | −1.16918 | + | 1.80038i | −0.268229 | + | 0.413036i | −0.946960 | − | 0.321351i | \(-0.895863\pi\) |
0.678732 | + | 0.734386i | \(0.262530\pi\) | |||||||
\(20\) | 4.32900 | + | 5.34586i | 0.967993 | + | 1.19537i | ||||
\(21\) | −0.904950 | − | 0.904950i | −0.197476 | − | 0.197476i | ||||
\(22\) | −0.730228 | + | 1.55410i | −0.155685 | + | 0.331335i | ||||
\(23\) | −3.55900 | − | 2.05479i | −0.742103 | − | 0.428453i | 0.0807307 | − | 0.996736i | \(-0.474275\pi\) |
−0.822833 | + | 0.568283i | \(0.807608\pi\) | |||||||
\(24\) | 1.80380 | + | 0.692415i | 0.368200 | + | 0.141339i | ||||
\(25\) | 10.2471 | + | 3.32950i | 2.04943 | + | 0.665900i | ||||
\(26\) | 1.64143 | − | 0.888957i | 0.321911 | − | 0.174339i | ||||
\(27\) | 0.809017 | − | 0.587785i | 0.155695 | − | 0.113119i | ||||
\(28\) | 1.72258 | + | 1.39492i | 0.325537 | + | 0.263615i | ||||
\(29\) | 1.96444 | − | 9.24197i | 0.364788 | − | 1.71619i | −0.287122 | − | 0.957894i | \(-0.592699\pi\) |
0.651910 | − | 0.758297i | \(-0.273968\pi\) | |||||||
\(30\) | 2.01133 | − | 0.427521i | 0.367216 | − | 0.0780542i | ||||
\(31\) | 1.19650 | + | 7.55443i | 0.214898 | + | 1.35682i | 0.825287 | + | 0.564713i | \(0.191013\pi\) |
−0.610389 | + | 0.792102i | \(0.708987\pi\) | |||||||
\(32\) | −4.96461 | − | 1.33026i | −0.877627 | − | 0.235159i | ||||
\(33\) | −2.03427 | − | 2.61950i | −0.354120 | − | 0.455996i | ||||
\(34\) | 2.16187 | − | 2.16187i | 0.370757 | − | 0.370757i | ||||
\(35\) | 5.05512 | + | 0.531315i | 0.854472 | + | 0.0898086i | ||||
\(36\) | −1.28710 | + | 1.15891i | −0.214516 | + | 0.193151i | ||||
\(37\) | −3.31764 | + | 2.15450i | −0.545417 | + | 0.354198i | −0.787750 | − | 0.615995i | \(-0.788754\pi\) |
0.242333 | + | 0.970193i | \(0.422087\pi\) | |||||||
\(38\) | −0.653269 | − | 0.899148i | −0.105974 | − | 0.145861i | ||||
\(39\) | 0.0905371 | + | 3.60441i | 0.0144975 | + | 0.577168i | ||||
\(40\) | −7.29829 | + | 2.37136i | −1.15396 | + | 0.374945i | ||||
\(41\) | 8.83000 | + | 0.462761i | 1.37901 | + | 0.0722711i | 0.727366 | − | 0.686250i | \(-0.240744\pi\) |
0.651648 | + | 0.758521i | \(0.274078\pi\) | |||||||
\(42\) | 0.605300 | − | 0.269497i | 0.0933998 | − | 0.0415843i | ||||
\(43\) | 0.489461 | + | 0.847772i | 0.0746422 | + | 0.129284i | 0.900931 | − | 0.433963i | \(-0.142885\pi\) |
−0.826288 | + | 0.563247i | \(0.809552\pi\) | |||||||
\(44\) | 3.97820 | + | 4.14372i | 0.599736 | + | 0.624690i | ||||
\(45\) | −1.02795 | + | 3.83638i | −0.153238 | + | 0.571894i | ||||
\(46\) | 1.65349 | − | 1.33897i | 0.243793 | − | 0.197420i | ||||
\(47\) | 2.61355 | + | 5.12939i | 0.381226 | + | 0.748198i | 0.999280 | − | 0.0379373i | \(-0.0120787\pi\) |
−0.618054 | + | 0.786136i | \(0.712079\pi\) | |||||||
\(48\) | 1.64847 | − | 1.83081i | 0.237936 | − | 0.264255i | ||||
\(49\) | −5.33276 | + | 0.560495i | −0.761822 | + | 0.0800707i | ||||
\(50\) | −3.51050 | + | 4.33511i | −0.496460 | + | 0.613077i | ||||
\(51\) | 1.82484 | + | 5.61629i | 0.255529 | + | 0.786439i | ||||
\(52\) | −0.808487 | − | 6.19211i | −0.112117 | − | 0.858691i | ||||
\(53\) | 0.0879012 | + | 0.0638640i | 0.0120742 | + | 0.00877239i | 0.593806 | − | 0.804608i | \(-0.297625\pi\) |
−0.581732 | + | 0.813381i | \(0.697625\pi\) | |||||||
\(54\) | 0.133998 | + | 0.500086i | 0.0182348 | + | 0.0680530i | ||||
\(55\) | 12.8263 | + | 3.00073i | 1.72950 | + | 0.404618i | ||||
\(56\) | −2.14145 | + | 1.23637i | −0.286163 | + | 0.165216i | ||||
\(57\) | 2.12028 | − | 0.335819i | 0.280838 | − | 0.0444803i | ||||
\(58\) | 4.10253 | + | 2.66422i | 0.538689 | + | 0.349829i | ||||
\(59\) | −0.595811 | − | 11.3688i | −0.0775680 | − | 1.48009i | −0.709305 | − | 0.704902i | \(-0.750991\pi\) |
0.631737 | − | 0.775183i | \(-0.282342\pi\) | |||||||
\(60\) | 1.07609 | − | 6.79415i | 0.138922 | − | 0.877121i | ||||
\(61\) | −0.823224 | + | 1.84899i | −0.105403 | + | 0.236739i | −0.958546 | − | 0.284938i | \(-0.908027\pi\) |
0.853143 | + | 0.521677i | \(0.174694\pi\) | |||||||
\(62\) | −3.87335 | − | 0.823306i | −0.491916 | − | 0.104560i | ||||
\(63\) | −0.0669792 | + | 1.27804i | −0.00843858 | + | 0.161018i | ||||
\(64\) | −1.33205 | + | 1.83341i | −0.166506 | + | 0.229176i | ||||
\(65\) | −9.28861 | − | 10.8991i | −1.15211 | − | 1.35187i | ||||
\(66\) | 1.64354 | − | 0.497229i | 0.202305 | − | 0.0612046i | ||||
\(67\) | −11.7915 | + | 3.15953i | −1.44056 | + | 0.385998i | −0.892731 | − | 0.450591i | \(-0.851213\pi\) |
−0.547832 | + | 0.836588i | \(0.684547\pi\) | |||||||
\(68\) | −4.16001 | − | 9.34354i | −0.504475 | − | 1.13307i | ||||
\(69\) | 0.854429 | + | 4.01977i | 0.102861 | + | 0.483924i | ||||
\(70\) | −1.19472 | + | 2.34476i | −0.142796 | + | 0.280253i | ||||
\(71\) | −1.98806 | − | 5.17908i | −0.235940 | − | 0.614644i | 0.763577 | − | 0.645716i | \(-0.223441\pi\) |
−0.999517 | + | 0.0310723i | \(0.990108\pi\) | |||||||
\(72\) | −0.692415 | − | 1.80380i | −0.0816019 | − | 0.212580i | ||||
\(73\) | 3.31701 | − | 6.50999i | 0.388226 | − | 0.761937i | −0.611340 | − | 0.791368i | \(-0.709369\pi\) |
0.999567 | + | 0.0294306i | \(0.00936940\pi\) | |||||||
\(74\) | −0.425811 | − | 2.00329i | −0.0494996 | − | 0.232877i | ||||
\(75\) | −4.38238 | − | 9.84299i | −0.506034 | − | 1.13657i | ||||
\(76\) | −3.59132 | + | 0.962292i | −0.411953 | + | 0.110382i | ||||
\(77\) | 4.24371 | + | 0.0864887i | 0.483616 | + | 0.00985630i | ||||
\(78\) | −1.75895 | − | 0.624991i | −0.199162 | − | 0.0707663i | ||||
\(79\) | −2.03526 | + | 2.80129i | −0.228984 | + | 0.315170i | −0.908013 | − | 0.418942i | \(-0.862401\pi\) |
0.679029 | + | 0.734112i | \(0.262401\pi\) | |||||||
\(80\) | −0.512092 | + | 9.77130i | −0.0572536 | + | 1.09246i | ||||
\(81\) | −0.978148 | − | 0.207912i | −0.108683 | − | 0.0231013i | ||||
\(82\) | −1.86196 | + | 4.18203i | −0.205619 | + | 0.461828i | ||||
\(83\) | −0.873126 | + | 5.51270i | −0.0958380 | + | 0.605098i | 0.892290 | + | 0.451463i | \(0.149098\pi\) |
−0.988128 | + | 0.153634i | \(0.950902\pi\) | |||||||
\(84\) | −0.116005 | − | 2.21351i | −0.0126572 | − | 0.241514i | ||||
\(85\) | −19.6704 | − | 12.7741i | −2.13355 | − | 1.38554i | ||||
\(86\) | −0.500575 | + | 0.0792833i | −0.0539784 | + | 0.00854933i | ||||
\(87\) | −8.18259 | + | 4.72422i | −0.877266 | + | 0.506490i | ||||
\(88\) | −5.90604 | + | 2.48661i | −0.629586 | + | 0.265073i | ||||
\(89\) | −4.48224 | − | 16.7280i | −0.475117 | − | 1.77316i | −0.620950 | − | 0.783850i | \(-0.713253\pi\) |
0.145833 | − | 0.989309i | \(-0.453414\pi\) | |||||||
\(90\) | −1.66355 | − | 1.20864i | −0.175354 | − | 0.127402i | ||||
\(91\) | −3.65782 | − | 2.81295i | −0.383444 | − | 0.294877i | ||||
\(92\) | −2.19947 | − | 6.76926i | −0.229310 | − | 0.705744i | ||||
\(93\) | 4.81342 | − | 5.94408i | 0.499128 | − | 0.616372i | ||||
\(94\) | −2.96415 | + | 0.311544i | −0.305728 | + | 0.0321333i | ||||
\(95\) | −5.70508 | + | 6.33613i | −0.585329 | + | 0.650073i | ||||
\(96\) | 2.33339 | + | 4.57954i | 0.238151 | + | 0.467398i | ||||
\(97\) | 7.18199 | − | 5.81586i | 0.729220 | − | 0.590511i | −0.191149 | − | 0.981561i | \(-0.561221\pi\) |
0.920369 | + | 0.391050i | \(0.127888\pi\) | |||||||
\(98\) | 0.718512 | − | 2.68152i | 0.0725807 | − | 0.270875i | ||||
\(99\) | −0.585475 | + | 3.26454i | −0.0588424 | + | 0.328099i | ||||
\(100\) | 9.33049 | + | 16.1609i | 0.933049 | + | 1.61609i | ||||
\(101\) | −9.57972 | + | 4.26516i | −0.953217 | + | 0.424400i | −0.823604 | − | 0.567165i | \(-0.808040\pi\) |
−0.129613 | + | 0.991565i | \(0.541374\pi\) | |||||||
\(102\) | −3.05315 | − | 0.160009i | −0.302307 | − | 0.0158432i | ||||
\(103\) | −0.0757060 | + | 0.0245984i | −0.00745953 | + | 0.00242375i | −0.312744 | − | 0.949837i | \(-0.601248\pi\) |
0.305285 | + | 0.952261i | \(0.401248\pi\) | |||||||
\(104\) | 6.77219 | + | 1.63350i | 0.664068 | + | 0.160178i | ||||
\(105\) | −2.98769 | − | 4.11221i | −0.291569 | − | 0.401310i | ||||
\(106\) | −0.0471769 | + | 0.0306370i | −0.00458222 | + | 0.00297573i | ||||
\(107\) | −5.99049 | + | 5.39386i | −0.579122 | + | 0.521444i | −0.905808 | − | 0.423689i | \(-0.860735\pi\) |
0.326685 | + | 0.945133i | \(0.394068\pi\) | |||||||
\(108\) | 1.72247 | + | 0.181039i | 0.165745 | + | 0.0174205i | ||||
\(109\) | 6.94658 | − | 6.94658i | 0.665362 | − | 0.665362i | −0.291277 | − | 0.956639i | \(-0.594080\pi\) |
0.956639 | + | 0.291277i | \(0.0940801\pi\) | |||||||
\(110\) | −3.83013 | + | 5.64273i | −0.365188 | + | 0.538013i | ||||
\(111\) | 3.82104 | + | 1.02384i | 0.362677 | + | 0.0971791i | ||||
\(112\) | 0.493222 | + | 3.11408i | 0.0466051 | + | 0.294253i | ||||
\(113\) | 7.52038 | − | 1.59851i | 0.707458 | − | 0.150375i | 0.159888 | − | 0.987135i | \(-0.448887\pi\) |
0.547569 | + | 0.836760i | \(0.315553\pi\) | |||||||
\(114\) | −0.231075 | + | 1.08712i | −0.0216421 | + | 0.101818i | ||||
\(115\) | −12.6846 | − | 10.2718i | −1.18285 | − | 0.957851i | ||||
\(116\) | 13.2390 | − | 9.61870i | 1.22921 | − | 0.893074i | ||||
\(117\) | 2.61802 | − | 2.47911i | 0.242036 | − | 0.229193i | ||||
\(118\) | 5.60551 | + | 1.82134i | 0.516029 | + | 0.167668i | ||||
\(119\) | −7.05562 | − | 2.70840i | −0.646787 | − | 0.248278i | ||||
\(120\) | 6.64578 | + | 3.83694i | 0.606674 | + | 0.350263i | ||||
\(121\) | 10.8838 | + | 1.59459i | 0.989437 | + | 0.144962i | ||||
\(122\) | −0.740952 | − | 0.740952i | −0.0670827 | − | 0.0670827i | ||||
\(123\) | −5.56452 | − | 6.87161i | −0.501736 | − | 0.619593i | ||||
\(124\) | −7.21486 | + | 11.1099i | −0.647914 | + | 0.997700i | ||||
\(125\) | 20.4349 | + | 10.4121i | 1.82775 | + | 0.931286i | ||||
\(126\) | −0.605300 | − | 0.269497i | −0.0539244 | − | 0.0240087i | ||||
\(127\) | 0.440307 | + | 4.18924i | 0.0390709 | + | 0.371735i | 0.996534 | + | 0.0831807i | \(0.0265079\pi\) |
−0.957464 | + | 0.288554i | \(0.906825\pi\) | |||||||
\(128\) | −6.23762 | − | 9.60510i | −0.551333 | − | 0.848979i | ||||
\(129\) | 0.302504 | − | 0.931011i | 0.0266340 | − | 0.0819710i | ||||
\(130\) | 6.99134 | − | 2.46737i | 0.613181 | − | 0.216403i | ||||
\(131\) | 11.8790i | 1.03787i | 0.854814 | + | 0.518935i | \(0.173671\pi\) | ||||
−0.854814 | + | 0.518935i | \(0.826329\pi\) | |||||||
\(132\) | 0.417455 | − | 5.72907i | 0.0363348 | − | 0.498651i | ||||
\(133\) | −1.37367 | + | 2.37927i | −0.119112 | + | 0.206309i | ||||
\(134\) | 0.660634 | − | 6.28551i | 0.0570701 | − | 0.542986i | ||||
\(135\) | 3.53882 | − | 1.80312i | 0.304573 | − | 0.155188i | ||||
\(136\) | 11.3942 | − | 0.597147i | 0.977048 | − | 0.0512049i | ||||
\(137\) | −9.38237 | + | 3.60156i | −0.801590 | + | 0.307702i | −0.724458 | − | 0.689319i | \(-0.757910\pi\) |
−0.0771325 | + | 0.997021i | \(0.524576\pi\) | |||||||
\(138\) | −2.10144 | − | 0.332836i | −0.178887 | − | 0.0283329i | ||||
\(139\) | 1.46812 | + | 1.32190i | 0.124524 | + | 0.112122i | 0.729040 | − | 0.684471i | \(-0.239967\pi\) |
−0.604516 | + | 0.796593i | \(0.706633\pi\) | |||||||
\(140\) | 5.89069 | + | 6.54227i | 0.497854 | + | 0.552923i | ||||
\(141\) | 2.06307 | − | 5.37448i | 0.173742 | − | 0.452613i | ||||
\(142\) | 2.87211 | 0.241022 | ||||||||
\(143\) | −8.49571 | − | 8.41563i | −0.710447 | − | 0.703750i | ||||
\(144\) | −2.46360 | −0.205300 | ||||||||
\(145\) | 13.4483 | − | 35.0340i | 1.11682 | − | 2.90941i | ||||
\(146\) | 2.53111 | + | 2.81108i | 0.209476 | + | 0.232647i | ||||
\(147\) | 3.98484 | + | 3.58797i | 0.328664 | + | 0.295930i | ||||
\(148\) | −6.76699 | − | 1.07179i | −0.556243 | − | 0.0881003i | ||||
\(149\) | −10.3297 | + | 3.96520i | −0.846242 | + | 0.324842i | −0.742569 | − | 0.669770i | \(-0.766393\pi\) |
−0.103673 | + | 0.994611i | \(0.533059\pi\) | |||||||
\(150\) | 5.57060 | − | 0.291943i | 0.454837 | − | 0.0238370i | ||||
\(151\) | −8.55964 | + | 4.36135i | −0.696573 | + | 0.354922i | −0.766156 | − | 0.642654i | \(-0.777833\pi\) |
0.0695828 | + | 0.997576i | \(0.477833\pi\) | |||||||
\(152\) | 0.433556 | − | 4.12501i | 0.0351660 | − | 0.334582i | ||||
\(153\) | 2.95266 | − | 5.11416i | 0.238708 | − | 0.413455i | ||||
\(154\) | −0.829167 | + | 2.03511i | −0.0668162 | + | 0.163994i | ||||
\(155\) | 30.3780i | 2.44002i | ||||||||
\(156\) | −4.06065 | + | 4.74415i | −0.325112 | + | 0.379836i | ||||
\(157\) | 5.39450 | − | 16.6025i | 0.430528 | − | 1.32503i | −0.467073 | − | 0.884219i | \(-0.654692\pi\) |
0.897601 | − | 0.440809i | \(-0.145308\pi\) | |||||||
\(158\) | −0.976359 | − | 1.50346i | −0.0776750 | − | 0.119609i | ||||
\(159\) | −0.0113572 | − | 0.108057i | −0.000900686 | − | 0.00856945i | ||||
\(160\) | −18.6487 | − | 8.30295i | −1.47431 | − | 0.656406i | ||||
\(161\) | −4.68617 | − | 2.38772i | −0.369322 | − | 0.188179i | ||||
\(162\) | 0.281974 | − | 0.434202i | 0.0221540 | − | 0.0341141i | ||||
\(163\) | 11.4724 | + | 14.1672i | 0.898584 | + | 1.10966i | 0.993461 | + | 0.114170i | \(0.0364208\pi\) |
−0.0948774 | + | 0.995489i | \(0.530246\pi\) | |||||||
\(164\) | 10.8288 | + | 10.8288i | 0.845584 | + | 0.845584i | ||||
\(165\) | −6.35252 | − | 11.5397i | −0.494543 | − | 0.898365i | ||||
\(166\) | −2.50251 | − | 1.44482i | −0.194232 | − | 0.112140i | ||||
\(167\) | 14.3394 | + | 5.50438i | 1.10962 | + | 0.425941i | 0.843028 | − | 0.537870i | \(-0.180771\pi\) |
0.266587 | + | 0.963811i | \(0.414104\pi\) | |||||||
\(168\) | 2.35171 | + | 0.764116i | 0.181438 | + | 0.0589529i | ||||
\(169\) | 2.00625 | + | 12.8443i | 0.154327 | + | 0.988020i | ||||
\(170\) | 9.82380 | − | 7.13741i | 0.753451 | − | 0.547414i | ||||
\(171\) | −1.66831 | − | 1.35097i | −0.127579 | − | 0.103311i | ||||
\(172\) | −0.352505 | + | 1.65840i | −0.0268782 | + | 0.126452i | ||||
\(173\) | 6.23403 | − | 1.32508i | 0.473965 | − | 0.100744i | 0.0352648 | − | 0.999378i | \(-0.488773\pi\) |
0.438700 | + | 0.898634i | \(0.355439\pi\) | |||||||
\(174\) | −0.765232 | − | 4.83148i | −0.0580121 | − | 0.366274i | ||||
\(175\) | 13.3193 | + | 3.56889i | 1.00684 | + | 0.269782i | ||||
\(176\) | 0.261277 | + | 8.16666i | 0.0196945 | + | 0.615585i | ||||
\(177\) | −8.04995 | + | 8.04995i | −0.605071 | + | 0.605071i | ||||
\(178\) | 8.91690 | + | 0.937204i | 0.668350 | + | 0.0702464i | ||||
\(179\) | −7.27757 | + | 6.55275i | −0.543951 | + | 0.489775i | −0.894684 | − | 0.446700i | \(-0.852599\pi\) |
0.350733 | + | 0.936475i | \(0.385932\pi\) | |||||||
\(180\) | −5.76908 | + | 3.74649i | −0.430002 | + | 0.279247i | ||||
\(181\) | −8.56736 | − | 11.7920i | −0.636807 | − | 0.876489i | 0.361633 | − | 0.932320i | \(-0.382219\pi\) |
−0.998440 | + | 0.0558310i | \(0.982219\pi\) | |||||||
\(182\) | 2.03827 | − | 1.24606i | 0.151086 | − | 0.0923643i | ||||
\(183\) | 1.92491 | − | 0.625442i | 0.142294 | − | 0.0462340i | ||||
\(184\) | 7.92938 | + | 0.415561i | 0.584561 | + | 0.0306356i | ||||
\(185\) | −14.3531 | + | 6.39041i | −1.05526 | + | 0.469832i | ||||
\(186\) | 1.97994 | + | 3.42936i | 0.145176 | + | 0.251453i | ||||
\(187\) | −17.2662 | − | 9.24548i | −1.26263 | − | 0.676096i | ||||
\(188\) | −2.58059 | + | 9.63089i | −0.188209 | + | 0.702405i | ||||
\(189\) | 0.994586 | − | 0.805400i | 0.0723455 | − | 0.0585842i | ||||
\(190\) | −2.00400 | − | 3.93307i | −0.145386 | − | 0.285335i | ||||
\(191\) | 10.0932 | − | 11.2096i | 0.730315 | − | 0.811097i | −0.257574 | − | 0.966259i | \(-0.582923\pi\) |
0.987889 | + | 0.155161i | \(0.0495897\pi\) | |||||||
\(192\) | 2.25381 | − | 0.236885i | 0.162654 | − | 0.0170957i | ||||
\(193\) | −10.4110 | + | 12.8565i | −0.749397 | + | 0.925428i | −0.999079 | − | 0.0428994i | \(-0.986340\pi\) |
0.249682 | + | 0.968328i | \(0.419674\pi\) | |||||||
\(194\) | 1.47851 | + | 4.55039i | 0.106151 | + | 0.326699i | ||||
\(195\) | −1.88431 | + | 14.1957i | −0.134938 | + | 1.01657i | ||||
\(196\) | −7.51333 | − | 5.45876i | −0.536667 | − | 0.389911i | ||||
\(197\) | −1.56625 | − | 5.84533i | −0.111591 | − | 0.416462i | 0.887419 | − | 0.460965i | \(-0.152496\pi\) |
−0.999009 | + | 0.0445023i | \(0.985830\pi\) | |||||||
\(198\) | −1.46925 | − | 0.888675i | −0.104415 | − | 0.0631554i | ||||
\(199\) | −4.72794 | + | 2.72968i | −0.335155 | + | 0.193502i | −0.658127 | − | 0.752907i | \(-0.728651\pi\) |
0.322972 | + | 0.946408i | \(0.395318\pi\) | |||||||
\(200\) | −20.5615 | + | 3.25662i | −1.45392 | + | 0.230278i | ||||
\(201\) | 10.2380 | + | 6.64867i | 0.722136 | + | 0.468961i | ||||
\(202\) | −0.284134 | − | 5.42160i | −0.0199916 | − | 0.381462i | ||||
\(203\) | 1.89161 | − | 11.9432i | 0.132765 | − | 0.838247i | ||||
\(204\) | −4.16001 | + | 9.34354i | −0.291259 | + | 0.654178i | ||||
\(205\) | 34.3509 | + | 7.30151i | 2.39917 | + | 0.509960i | ||||
\(206\) | 0.00215687 | − | 0.0411556i | 0.000150276 | − | 0.00286745i | ||||
\(207\) | 2.41555 | − | 3.32472i | 0.167892 | − | 0.231084i | ||||
\(208\) | 5.03899 | − | 7.31504i | 0.349391 | − | 0.507207i | ||||
\(209\) | −4.30143 | + | 5.67359i | −0.297536 | + | 0.392450i | ||||
\(210\) | 2.54192 | − | 0.681105i | 0.175409 | − | 0.0470007i | ||||
\(211\) | −2.34287 | − | 5.26217i | −0.161290 | − | 0.362263i | 0.814764 | − | 0.579793i | \(-0.196867\pi\) |
−0.976054 | + | 0.217530i | \(0.930200\pi\) | |||||||
\(212\) | 0.0391249 | + | 0.184068i | 0.00268711 | + | 0.0126419i | ||||
\(213\) | −2.51853 | + | 4.94290i | −0.172567 | + | 0.338682i | ||||
\(214\) | −1.49561 | − | 3.89620i | −0.102238 | − | 0.266339i | ||||
\(215\) | 1.39333 | + | 3.62976i | 0.0950246 | + | 0.247548i | ||||
\(216\) | −0.877171 | + | 1.72154i | −0.0596839 | + | 0.117136i | ||||
\(217\) | 2.03517 | + | 9.57472i | 0.138156 | + | 0.649974i | ||||
\(218\) | 2.06871 | + | 4.64640i | 0.140111 | + | 0.314694i | ||||
\(219\) | −7.05738 | + | 1.89102i | −0.476893 | + | 0.127783i | ||||
\(220\) | 13.0312 | + | 18.7268i | 0.878562 | + | 1.26256i | ||||
\(221\) | 9.14591 | + | 19.2276i | 0.615220 | + | 1.29339i | ||||
\(222\) | −1.20381 | + | 1.65690i | −0.0807943 | + | 0.111204i | ||||
\(223\) | 0.899923 | − | 17.1716i | 0.0602633 | − | 1.14989i | −0.786384 | − | 0.617738i | \(-0.788049\pi\) |
0.846647 | − | 0.532154i | \(-0.178617\pi\) | |||||||
\(224\) | −6.43406 | − | 1.36760i | −0.429894 | − | 0.0913768i | ||||
\(225\) | −4.38238 | + | 9.84299i | −0.292159 | + | 0.656199i | ||||
\(226\) | −0.622685 | + | 3.93148i | −0.0414204 | + | 0.261518i | ||||
\(227\) | −1.51889 | − | 28.9822i | −0.100812 | − | 1.92361i | −0.319084 | − | 0.947726i | \(-0.603375\pi\) |
0.218272 | − | 0.975888i | \(-0.429958\pi\) | |||||||
\(228\) | 3.11819 | + | 2.02497i | 0.206507 | + | 0.134107i | ||||
\(229\) | 1.32104 | − | 0.209232i | 0.0872968 | − | 0.0138265i | −0.112633 | − | 0.993637i | \(-0.535929\pi\) |
0.199930 | + | 0.979810i | \(0.435929\pi\) | |||||||
\(230\) | 7.31823 | − | 4.22518i | 0.482550 | − | 0.278600i | ||||
\(231\) | −2.77532 | − | 3.21156i | −0.182603 | − | 0.211305i | ||||
\(232\) | 4.72491 | + | 17.6336i | 0.310206 | + | 1.15770i | ||||
\(233\) | −6.53702 | − | 4.74942i | −0.428254 | − | 0.311145i | 0.352696 | − | 0.935738i | \(-0.385265\pi\) |
−0.780951 | + | 0.624593i | \(0.785265\pi\) | |||||||
\(234\) | 0.712511 | + | 1.72536i | 0.0465783 | + | 0.112790i | ||||
\(235\) | 7.06553 | + | 21.7455i | 0.460904 | + | 1.41852i | ||||
\(236\) | 12.4085 | − | 15.3232i | 0.807722 | − | 0.997453i | ||||
\(237\) | 3.44362 | − | 0.361939i | 0.223687 | − | 0.0235104i | ||||
\(238\) | 2.61815 | − | 2.90775i | 0.169710 | − | 0.188482i | ||||
\(239\) | 0.358672 | + | 0.703933i | 0.0232005 | + | 0.0455336i | 0.902316 | − | 0.431075i | \(-0.141866\pi\) |
−0.879115 | + | 0.476609i | \(0.841866\pi\) | |||||||
\(240\) | 7.60415 | − | 6.15772i | 0.490846 | − | 0.397479i | ||||
\(241\) | 0.964868 | − | 3.60094i | 0.0621526 | − | 0.231957i | −0.927862 | − | 0.372925i | \(-0.878355\pi\) |
0.990014 | + | 0.140968i | \(0.0450216\pi\) | |||||||
\(242\) | −2.79007 | + | 4.96472i | −0.179353 | + | 0.319144i | ||||
\(243\) | 0.500000 | + | 0.866025i | 0.0320750 | + | 0.0555556i | ||||
\(244\) | −3.20238 | + | 1.42579i | −0.205011 | + | 0.0912769i | ||||
\(245\) | −21.2676 | − | 1.11459i | −1.35874 | − | 0.0712085i | ||||
\(246\) | 4.35375 | − | 1.41462i | 0.277585 | − | 0.0901927i | ||||
\(247\) | 7.42367 | − | 2.19038i | 0.472357 | − | 0.139370i | ||||
\(248\) | −8.68636 | − | 11.9557i | −0.551584 | − | 0.759191i | ||||
\(249\) | 4.68097 | − | 3.03986i | 0.296644 | − | 0.192643i | ||||
\(250\) | −8.82400 | + | 7.94516i | −0.558079 | + | 0.502496i | ||||
\(251\) | 1.90387 | + | 0.200105i | 0.120171 | + | 0.0126305i | 0.164423 | − | 0.986390i | \(-0.447424\pi\) |
−0.0442519 | + | 0.999020i | \(0.514090\pi\) | |||||||
\(252\) | −1.56734 | + | 1.56734i | −0.0987329 | + | 0.0987329i | ||||
\(253\) | −11.2774 | − | 7.65477i | −0.709003 | − | 0.481251i | ||||
\(254\) | −2.10652 | − | 0.564440i | −0.132175 | − | 0.0354161i | ||||
\(255\) | 3.66905 | + | 23.1655i | 0.229765 | + | 1.45068i | ||||
\(256\) | 1.36643 | − | 0.290445i | 0.0854022 | − | 0.0181528i | ||||
\(257\) | −2.93515 | + | 13.8088i | −0.183090 | + | 0.861370i | 0.786682 | + | 0.617358i | \(0.211797\pi\) |
−0.969772 | + | 0.244012i | \(0.921536\pi\) | |||||||
\(258\) | 0.393869 | + | 0.318949i | 0.0245212 | + | 0.0198569i | ||||
\(259\) | −4.09577 | + | 2.97575i | −0.254499 | + | 0.184904i | ||||
\(260\) | 0.675691 | − | 24.7928i | 0.0419046 | − | 1.53758i | ||||
\(261\) | 8.98600 | + | 2.91973i | 0.556220 | + | 0.180727i | ||||
\(262\) | −5.74157 | − | 2.20398i | −0.354715 | − | 0.136162i | ||||
\(263\) | 6.03875 | + | 3.48648i | 0.372365 | + | 0.214985i | 0.674491 | − | 0.738283i | \(-0.264363\pi\) |
−0.302126 | + | 0.953268i | \(0.597696\pi\) | |||||||
\(264\) | 5.79983 | + | 2.72518i | 0.356955 | + | 0.167723i | ||||
\(265\) | 0.305141 | + | 0.305141i | 0.0187446 | + | 0.0187446i | ||||
\(266\) | −0.895128 | − | 1.10539i | −0.0548838 | − | 0.0677759i | ||||
\(267\) | −9.43209 | + | 14.5241i | −0.577234 | + | 0.888863i | ||||
\(268\) | −18.8384 | − | 9.59865i | −1.15074 | − | 0.586331i | ||||
\(269\) | 24.5000 | + | 10.9081i | 1.49379 | + | 0.665078i | 0.981101 | − | 0.193496i | \(-0.0619826\pi\) |
0.512689 | + | 0.858574i | \(0.328649\pi\) | |||||||
\(270\) | 0.214938 | + | 2.04500i | 0.0130807 | + | 0.124455i | ||||
\(271\) | −1.42599 | − | 2.19583i | −0.0866226 | − | 0.133387i | 0.792703 | − | 0.609608i | \(-0.208673\pi\) |
−0.879326 | + | 0.476221i | \(0.842006\pi\) | |||||||
\(272\) | 4.49569 | − | 13.8363i | 0.272591 | − | 0.838949i | ||||
\(273\) | 0.357131 | + | 4.60052i | 0.0216145 | + | 0.278436i | ||||
\(274\) | − | 5.20309i | − | 0.314330i | ||||||
\(275\) | 33.0936 | + | 13.4834i | 1.99562 | + | 0.813078i | ||||
\(276\) | −3.55881 | + | 6.16404i | −0.214215 | + | 0.371032i | ||||
\(277\) | −1.86740 | + | 17.7672i | −0.112201 | + | 1.06753i | 0.783048 | + | 0.621961i | \(0.213664\pi\) |
−0.895250 | + | 0.445564i | \(0.853003\pi\) | |||||||
\(278\) | −0.911316 | + | 0.464339i | −0.0546571 | + | 0.0278492i | ||||
\(279\) | −7.63811 | + | 0.400297i | −0.457282 | + | 0.0239651i | ||||
\(280\) | −9.16867 | + | 3.51952i | −0.547933 | + | 0.210332i | ||||
\(281\) | −22.1751 | − | 3.51219i | −1.32285 | − | 0.209520i | −0.545250 | − | 0.838273i | \(-0.683565\pi\) |
−0.777604 | + | 0.628754i | \(0.783565\pi\) | |||||||
\(282\) | 2.21492 | + | 1.99433i | 0.131897 | + | 0.118760i | ||||
\(283\) | −1.98650 | − | 2.20623i | −0.118085 | − | 0.131147i | 0.681203 | − | 0.732094i | \(-0.261457\pi\) |
−0.799289 | + | 0.600947i | \(0.794790\pi\) | |||||||
\(284\) | 3.44325 | − | 8.96996i | 0.204319 | − | 0.532269i | ||||
\(285\) | 8.52610 | 0.505043 | ||||||||
\(286\) | 5.64387 | − | 2.54491i | 0.333729 | − | 0.150483i | ||||
\(287\) | 11.3161 | 0.667967 | ||||||||
\(288\) | 1.84192 | − | 4.79836i | 0.108536 | − | 0.282746i | ||||
\(289\) | 11.9593 | + | 13.2821i | 0.703485 | + | 0.781300i | ||||
\(290\) | 14.4382 | + | 13.0002i | 0.847838 | + | 0.763397i | ||||
\(291\) | −9.12771 | − | 1.44569i | −0.535076 | − | 0.0847477i | ||||
\(292\) | 11.8138 | − | 4.53489i | 0.691349 | − | 0.265384i | ||||
\(293\) | 18.3332 | − | 0.960800i | 1.07103 | − | 0.0561305i | 0.491343 | − | 0.870966i | \(-0.336506\pi\) |
0.579692 | + | 0.814836i | \(0.303173\pi\) | |||||||
\(294\) | −2.47354 | + | 1.26033i | −0.144260 | + | 0.0735040i | ||||
\(295\) | 4.72629 | − | 44.9677i | 0.275175 | − | 2.61812i | ||||
\(296\) | 3.82160 | − | 6.61921i | 0.222126 | − | 0.384734i | ||||
\(297\) | 2.81778 | − | 1.74931i | 0.163504 | − | 0.101505i | ||||
\(298\) | − | 5.72844i | − | 0.331840i | ||||||
\(299\) | 4.93121 | + | 13.9727i | 0.285179 | + | 0.808060i | ||||
\(300\) | 5.76656 | − | 17.7476i | 0.332932 | − | 1.02466i | ||||
\(301\) | 0.682334 | + | 1.05070i | 0.0393291 | + | 0.0605615i | ||||
\(302\) | −0.519888 | − | 4.94640i | −0.0299162 | − | 0.284633i | ||||
\(303\) | 9.57972 | + | 4.26516i | 0.550340 | + | 0.245027i | ||||
\(304\) | −4.71220 | − | 2.40099i | −0.270263 | − | 0.137706i | ||||
\(305\) | −4.37816 | + | 6.74177i | −0.250692 | + | 0.386033i | ||||
\(306\) | 1.92405 | + | 2.37600i | 0.109990 | + | 0.135827i | ||||
\(307\) | 6.77503 | + | 6.77503i | 0.386671 | + | 0.386671i | 0.873498 | − | 0.486827i | \(-0.161846\pi\) |
−0.486827 | + | 0.873498i | \(0.661846\pi\) | |||||||
\(308\) | 5.36183 | + | 5.02939i | 0.305519 | + | 0.286576i | ||||
\(309\) | 0.0689373 | + | 0.0398010i | 0.00392171 | + | 0.00226420i | ||||
\(310\) | −14.6829 | − | 5.63624i | −0.833932 | − | 0.320117i | ||||
\(311\) | 16.6016 | + | 5.39418i | 0.941389 | + | 0.305876i | 0.739212 | − | 0.673473i | \(-0.235198\pi\) |
0.202178 | + | 0.979349i | \(0.435198\pi\) | |||||||
\(312\) | −3.31755 | − | 6.12574i | −0.187819 | − | 0.346802i | ||||
\(313\) | 10.1839 | − | 7.39900i | 0.575626 | − | 0.418216i | −0.261519 | − | 0.965198i | \(-0.584223\pi\) |
0.837144 | + | 0.546982i | \(0.184223\pi\) | |||||||
\(314\) | 7.02379 | + | 5.68775i | 0.396375 | + | 0.320979i | ||||
\(315\) | −1.05681 | + | 4.97189i | −0.0595444 | + | 0.280134i | ||||
\(316\) | −5.86600 | + | 1.24686i | −0.329988 | + | 0.0701412i | ||||
\(317\) | 0.256647 | + | 1.62041i | 0.0144147 | + | 0.0910111i | 0.993847 | − | 0.110763i | \(-0.0353294\pi\) |
−0.979432 | + | 0.201774i | \(0.935329\pi\) | |||||||
\(318\) | 0.0543352 | + | 0.0145591i | 0.00304697 | + | 0.000816433i | ||||
\(319\) | 8.72568 | − | 30.0976i | 0.488544 | − | 1.68514i | ||||
\(320\) | −6.36451 | + | 6.36451i | −0.355787 | + | 0.355787i | ||||
\(321\) | 8.01684 | + | 0.842604i | 0.447456 | + | 0.0470296i | ||||
\(322\) | 2.02354 | − | 1.82200i | 0.112767 | − | 0.101536i | ||||
\(323\) | 10.6318 | − | 6.90439i | 0.591571 | − | 0.384171i | ||||
\(324\) | −1.01802 | − | 1.40118i | −0.0565567 | − | 0.0778436i | ||||
\(325\) | −20.2627 | − | 33.1450i | −1.12397 | − | 1.83855i | ||||
\(326\) | −8.97610 | + | 2.91651i | −0.497140 | + | 0.161531i | ||||
\(327\) | −9.81049 | − | 0.514146i | −0.542521 | − | 0.0284323i | ||||
\(328\) | −15.6072 | + | 6.94875i | −0.861761 | + | 0.383681i | ||||
\(329\) | 3.68379 | + | 6.38051i | 0.203094 | + | 0.351769i | ||||
\(330\) | 6.75622 | − | 0.929386i | 0.371918 | − | 0.0511610i | ||||
\(331\) | 2.93140 | − | 10.9401i | 0.161124 | − | 0.601323i | −0.837379 | − | 0.546623i | \(-0.815913\pi\) |
0.998503 | − | 0.0547001i | \(-0.0174203\pi\) | |||||||
\(332\) | −7.51251 | + | 6.08351i | −0.412302 | + | 0.333876i | ||||
\(333\) | −1.79591 | − | 3.52467i | −0.0984153 | − | 0.193151i | ||||
\(334\) | −5.32096 | + | 5.90953i | −0.291150 | + | 0.323355i | ||||
\(335\) | −48.2190 | + | 5.06802i | −2.63448 | + | 0.276895i | ||||
\(336\) | 1.98418 | − | 2.45026i | 0.108246 | − | 0.133673i | ||||
\(337\) | 5.59120 | + | 17.2080i | 0.304572 | + | 0.937377i | 0.979836 | + | 0.199801i | \(0.0640297\pi\) |
−0.675264 | + | 0.737576i | \(0.735970\pi\) | |||||||
\(338\) | −6.58037 | − | 1.41338i | −0.357925 | − | 0.0768778i | ||||
\(339\) | −6.22004 | − | 4.51912i | −0.337826 | − | 0.245445i | ||||
\(340\) | −10.5137 | − | 39.2376i | −0.570185 | − | 2.12796i | ||||
\(341\) | 2.13702 | + | 25.2774i | 0.115726 | + | 1.36885i | ||||
\(342\) | 0.962508 | − | 0.555704i | 0.0520464 | − | 0.0300490i | ||||
\(343\) | −15.6262 | + | 2.47494i | −0.843735 | + | 0.133634i | ||||
\(344\) | −1.58627 | − | 1.03014i | −0.0855260 | − | 0.0555412i | ||||
\(345\) | 0.854230 | + | 16.2997i | 0.0459902 | + | 0.877546i | ||||
\(346\) | −0.516176 | + | 3.25900i | −0.0277498 | + | 0.175205i | ||||
\(347\) | −4.62107 | + | 10.3791i | −0.248072 | + | 0.557179i | −0.994067 | − | 0.108773i | \(-0.965308\pi\) |
0.745995 | + | 0.665952i | \(0.231974\pi\) | |||||||
\(348\) | −16.0067 | − | 3.40233i | −0.858050 | − | 0.182384i | ||||
\(349\) | 1.37496 | − | 26.2357i | 0.0735997 | − | 1.40437i | −0.673271 | − | 0.739396i | \(-0.735111\pi\) |
0.746870 | − | 0.664970i | \(-0.231556\pi\) | |||||||
\(350\) | −4.19620 | + | 5.77557i | −0.224296 | + | 0.308717i | ||||
\(351\) | −3.59413 | − | 0.286723i | −0.191841 | − | 0.0153041i | ||||
\(352\) | −16.1016 | − | 5.59694i | −0.858217 | − | 0.298318i | ||||
\(353\) | −14.6131 | + | 3.91558i | −0.777778 | + | 0.208405i | −0.625805 | − | 0.779980i | \(-0.715229\pi\) |
−0.151973 | + | 0.988385i | \(0.548563\pi\) | |||||||
\(354\) | −2.39730 | − | 5.38442i | −0.127415 | − | 0.286179i | ||||
\(355\) | −4.58097 | − | 21.5518i | −0.243133 | − | 1.14385i | ||||
\(356\) | 13.6171 | − | 26.7250i | 0.721703 | − | 1.41642i | ||||
\(357\) | 2.70840 | + | 7.05562i | 0.143344 | + | 0.373423i | ||||
\(358\) | −1.81695 | − | 4.73331i | −0.0960286 | − | 0.250163i | ||||
\(359\) | −10.4519 | + | 20.5130i | −0.551629 | + | 1.08263i | 0.431906 | + | 0.901919i | \(0.357841\pi\) |
−0.983535 | + | 0.180715i | \(0.942159\pi\) | |||||||
\(360\) | −1.59549 | − | 7.50619i | −0.0840897 | − | 0.395611i | ||||
\(361\) | 5.85361 | + | 13.1474i | 0.308085 | + | 0.691970i | ||||
\(362\) | 7.28908 | − | 1.95310i | 0.383105 | − | 0.102653i | ||||
\(363\) | −6.09768 | − | 9.15523i | −0.320045 | − | 0.480525i | ||||
\(364\) | −1.44802 | − | 7.85961i | −0.0758969 | − | 0.411955i | ||||
\(365\) | 17.0567 | − | 23.4766i | 0.892791 | − | 1.22882i | ||||
\(366\) | −0.0548410 | + | 1.04643i | −0.00286659 | + | 0.0546977i | ||||
\(367\) | 23.3804 | + | 4.96966i | 1.22045 | + | 0.259414i | 0.772715 | − | 0.634753i | \(-0.218898\pi\) |
0.447733 | + | 0.894167i | \(0.352231\pi\) | |||||||
\(368\) | 4.11795 | − | 9.24906i | 0.214663 | − | 0.482141i | ||||
\(369\) | −1.38321 | + | 8.73325i | −0.0720071 | + | 0.454635i | ||||
\(370\) | −0.425712 | − | 8.12308i | −0.0221317 | − | 0.422299i | ||||
\(371\) | 0.116619 | + | 0.0757331i | 0.00605454 | + | 0.00393187i | ||||
\(372\) | 13.0840 | − | 2.07230i | 0.678372 | − | 0.107444i | ||||
\(373\) | −27.5551 | + | 15.9090i | −1.42675 | + | 0.823735i | −0.996863 | − | 0.0791481i | \(-0.974780\pi\) |
−0.429887 | + | 0.902883i | \(0.641447\pi\) | |||||||
\(374\) | 7.67222 | − | 6.63007i | 0.396721 | − | 0.342833i | ||||
\(375\) | −5.93591 | − | 22.1531i | −0.306529 | − | 1.14398i | ||||
\(376\) | −8.99870 | − | 6.53794i | −0.464073 | − | 0.337168i | ||||
\(377\) | −27.0491 | + | 20.7097i | −1.39310 | + | 1.06661i | ||||
\(378\) | 0.204749 | + | 0.630154i | 0.0105312 | + | 0.0324116i | ||||
\(379\) | −1.37728 | + | 1.70080i | −0.0707463 | + | 0.0873644i | −0.811290 | − | 0.584643i | \(-0.801234\pi\) |
0.740544 | + | 0.672008i | \(0.234568\pi\) | |||||||
\(380\) | −14.6860 | + | 1.54356i | −0.753374 | + | 0.0791828i | ||||
\(381\) | 2.81859 | − | 3.13036i | 0.144401 | − | 0.160373i | ||||
\(382\) | 3.54539 | + | 6.95821i | 0.181398 | + | 0.356013i | ||||
\(383\) | 1.06680 | − | 0.863880i | 0.0545111 | − | 0.0441422i | −0.601678 | − | 0.798739i | \(-0.705501\pi\) |
0.656189 | + | 0.754597i | \(0.272167\pi\) | |||||||
\(384\) | −2.96419 | + | 11.0625i | −0.151266 | + | 0.564532i | ||||
\(385\) | 16.5936 | + | 2.97595i | 0.845686 | + | 0.151668i | ||||
\(386\) | −4.28242 | − | 7.41737i | −0.217970 | − | 0.377534i | ||||
\(387\) | −0.894291 | + | 0.398164i | −0.0454593 | + | 0.0202398i | ||||
\(388\) | 15.9839 | + | 0.837683i | 0.811462 | + | 0.0425269i | ||||
\(389\) | 17.1656 | − | 5.57745i | 0.870333 | − | 0.282788i | 0.160395 | − | 0.987053i | \(-0.448723\pi\) |
0.709937 | + | 0.704265i | \(0.248723\pi\) | |||||||
\(390\) | −6.51173 | − | 3.54458i | −0.329734 | − | 0.179487i | ||||
\(391\) | 14.2646 | + | 19.6335i | 0.721392 | + | 0.992910i | ||||
\(392\) | 8.68893 | − | 5.64266i | 0.438857 | − | 0.284997i | ||||
\(393\) | 8.82779 | − | 7.94858i | 0.445303 | − | 0.400953i | ||||
\(394\) | 3.11587 | + | 0.327492i | 0.156975 | + | 0.0164988i | ||||
\(395\) | −9.72440 | + | 9.72440i | −0.489288 | + | 0.489288i | ||||
\(396\) | −4.53686 | + | 3.52327i | −0.227986 | + | 0.177051i | ||||
\(397\) | −11.7060 | − | 3.13661i | −0.587508 | − | 0.157422i | −0.0471937 | − | 0.998886i | \(-0.515028\pi\) |
−0.540314 | + | 0.841464i | \(0.681694\pi\) | |||||||
\(398\) | −0.442155 | − | 2.79166i | −0.0221632 | − | 0.139933i | ||||
\(399\) | 2.68731 | − | 0.571205i | 0.134534 | − | 0.0285960i | ||||
\(400\) | −5.51882 | + | 25.9640i | −0.275941 | + | 1.29820i | ||||
\(401\) | 23.9595 | + | 19.4020i | 1.19648 | + | 0.968891i | 0.999933 | − | 0.0116037i | \(-0.00369365\pi\) |
0.196548 | + | 0.980494i | \(0.437027\pi\) | |||||||
\(402\) | −5.11310 | + | 3.71488i | −0.255018 | + | 0.185281i | ||||
\(403\) | 14.4342 | − | 23.4982i | 0.719020 | − | 1.17053i | ||||
\(404\) | −17.2729 | − | 5.61232i | −0.859361 | − | 0.279223i | ||||
\(405\) | −3.70791 | − | 1.42333i | −0.184248 | − | 0.0707260i | ||||
\(406\) | 5.42164 | + | 3.13019i | 0.269072 | + | 0.155349i | ||||
\(407\) | −11.4936 | + | 6.32712i | −0.569715 | + | 0.313624i | ||||
\(408\) | −8.06800 | − | 8.06800i | −0.399426 | − | 0.399426i | ||||
\(409\) | 6.33658 | + | 7.82503i | 0.313324 | + | 0.386923i | 0.909343 | − | 0.416048i | \(-0.136585\pi\) |
−0.596019 | + | 0.802970i | \(0.703252\pi\) | |||||||
\(410\) | −9.90246 | + | 15.2485i | −0.489048 | + | 0.753067i | ||||
\(411\) | 8.95451 | + | 4.56255i | 0.441693 | + | 0.225054i | ||||
\(412\) | −0.125948 | − | 0.0560757i | −0.00620502 | − | 0.00276265i | ||||
\(413\) | −1.52294 | − | 14.4898i | −0.0749389 | − | 0.712996i | ||||
\(414\) | 1.15879 | + | 1.78439i | 0.0569517 | + | 0.0876979i | ||||
\(415\) | −6.85022 | + | 21.0828i | −0.336264 | + | 1.03491i | ||||
\(416\) | 10.4801 | + | 15.2836i | 0.513830 | + | 0.749338i | ||||
\(417\) | − | 1.97555i | − | 0.0967430i | ||||||
\(418\) | −1.94420 | − | 3.13171i | −0.0950938 | − | 0.153177i | ||||
\(419\) | 6.91724 | − | 11.9810i | 0.337929 | − | 0.585310i | −0.646114 | − | 0.763241i | \(-0.723607\pi\) |
0.984043 | + | 0.177931i | \(0.0569403\pi\) | |||||||
\(420\) | 0.920216 | − | 8.75527i | 0.0449019 | − | 0.427213i | ||||
\(421\) | −17.4320 | + | 8.88204i | −0.849583 | + | 0.432884i | −0.823866 | − | 0.566785i | \(-0.808187\pi\) |
−0.0257172 | + | 0.999669i | \(0.508187\pi\) | |||||||
\(422\) | 2.97810 | − | 0.156076i | 0.144972 | − | 0.00759765i | ||||
\(423\) | −5.37448 | + | 2.06307i | −0.261316 | + | 0.100310i | ||||
\(424\) | −0.207345 | − | 0.0328403i | −0.0100696 | − | 0.00159487i | ||||
\(425\) | −47.2840 | − | 42.5747i | −2.29361 | − | 2.06517i | ||||
\(426\) | −1.92182 | − | 2.13440i | −0.0931125 | − | 0.103412i | ||||
\(427\) | −0.928268 | + | 2.41822i | −0.0449221 | + | 0.117026i | ||||
\(428\) | −13.9613 | −0.674846 | ||||||||
\(429\) | −0.569290 | + | 11.9447i | −0.0274856 | + | 0.576696i | ||||
\(430\) | −2.01292 | −0.0970717 | ||||||||
\(431\) | −4.22149 | + | 10.9974i | −0.203342 | + | 0.529724i | −0.996892 | − | 0.0787810i | \(-0.974897\pi\) |
0.793550 | + | 0.608505i | \(0.208231\pi\) | |||||||
\(432\) | 1.64847 | + | 1.83081i | 0.0793121 | + | 0.0880850i | ||||
\(433\) | −24.9497 | − | 22.4648i | −1.19901 | − | 1.07959i | −0.994923 | − | 0.100638i | \(-0.967912\pi\) |
−0.204084 | − | 0.978953i | \(-0.565422\pi\) | |||||||
\(434\) | −5.00544 | − | 0.792783i | −0.240269 | − | 0.0380548i | ||||
\(435\) | −35.0340 | + | 13.4483i | −1.67975 | + | 0.644796i | ||||
\(436\) | 16.9914 | − | 0.890480i | 0.813739 | − | 0.0426462i | ||||
\(437\) | 7.86052 | − | 4.00513i | 0.376019 | − | 0.191592i | ||||
\(438\) | 0.395398 | − | 3.76196i | 0.0188929 | − | 0.179754i | ||||
\(439\) | −16.3674 | + | 28.3492i | −0.781173 | + | 1.35303i | 0.150086 | + | 0.988673i | \(0.452045\pi\) |
−0.931259 | + | 0.364359i | \(0.881288\pi\) | |||||||
\(440\) | −24.7133 | + | 6.08500i | −1.17816 | + | 0.290091i | ||||
\(441\) | − | 5.36213i | − | 0.255340i | ||||||
\(442\) | −10.9903 | + | 0.853162i | −0.522757 | + | 0.0405808i | ||||
\(443\) | 6.20409 | − | 19.0942i | 0.294765 | − | 0.907194i | −0.688535 | − | 0.725203i | \(-0.741746\pi\) |
0.983300 | − | 0.181991i | \(-0.0582541\pi\) | |||||||
\(444\) | 3.73151 | + | 5.74602i | 0.177090 | + | 0.272694i | ||||
\(445\) | −7.18971 | − | 68.4055i | −0.340825 | − | 3.24273i | ||||
\(446\) | 8.13272 | + | 3.62092i | 0.385096 | + | 0.171456i | ||||
\(447\) | 9.85863 | + | 5.02322i | 0.466297 | + | 0.237590i | ||||
\(448\) | −1.57961 | + | 2.43239i | −0.0746297 | + | 0.114920i | ||||
\(449\) | 17.3783 | + | 21.4605i | 0.820135 | + | 1.01278i | 0.999579 | + | 0.0290140i | \(0.00923673\pi\) |
−0.179444 | + | 0.983768i | \(0.557430\pi\) | |||||||
\(450\) | −3.94441 | − | 3.94441i | −0.185941 | − | 0.185941i | ||||
\(451\) | 29.0968 | + | 3.65904i | 1.37012 | + | 0.172298i | ||||
\(452\) | 11.5320 | + | 6.65799i | 0.542418 | + | 0.313165i | ||||
\(453\) | 8.96863 | + | 3.44274i | 0.421383 | + | 0.161754i | ||||
\(454\) | 14.2900 | + | 4.64311i | 0.670665 | + | 0.217912i | ||||
\(455\) | −12.6012 | − | 13.3073i | −0.590754 | − | 0.623857i | ||||
\(456\) | −3.35558 | + | 2.43797i | −0.157140 | + | 0.114169i | ||||
\(457\) | 0.134119 | + | 0.108608i | 0.00627383 | + | 0.00508045i | 0.632452 | − | 0.774599i | \(-0.282048\pi\) |
−0.626178 | + | 0.779680i | \(0.715382\pi\) | |||||||
\(458\) | −0.143971 | + | 0.677331i | −0.00672733 | + | 0.0316496i | ||||
\(459\) | −5.77628 | + | 1.22779i | −0.269613 | + | 0.0573081i | ||||
\(460\) | −4.42227 | − | 27.9211i | −0.206189 | − | 1.30183i | ||||
\(461\) | 12.2583 | + | 3.28461i | 0.570928 | + | 0.152980i | 0.532722 | − | 0.846290i | \(-0.321169\pi\) |
0.0382058 | + | 0.999270i | \(0.487836\pi\) | |||||||
\(462\) | 2.06720 | − | 0.745561i | 0.0961749 | − | 0.0346866i | ||||
\(463\) | −6.27575 | + | 6.27575i | −0.291659 | + | 0.291659i | −0.837735 | − | 0.546076i | \(-0.816121\pi\) |
0.546076 | + | 0.837735i | \(0.316121\pi\) | |||||||
\(464\) | 23.1497 | + | 2.43313i | 1.07470 | + | 0.112955i | ||||
\(465\) | 22.5753 | − | 20.3269i | 1.04690 | − | 0.942636i | ||||
\(466\) | 3.50844 | − | 2.27841i | 0.162525 | − | 0.105545i | ||||
\(467\) | 11.5466 | + | 15.8925i | 0.534312 | + | 0.735417i | 0.987780 | − | 0.155855i | \(-0.0498134\pi\) |
−0.453468 | + | 0.891273i | \(0.649813\pi\) | |||||||
\(468\) | 6.24270 | − | 0.156807i | 0.288569 | − | 0.00724838i | ||||
\(469\) | −14.8584 | + | 4.82778i | −0.686097 | + | 0.222926i | ||||
\(470\) | −11.8214 | − | 0.619531i | −0.545279 | − | 0.0285768i | ||||
\(471\) | −15.9477 | + | 7.10038i | −0.734832 | + | 0.327168i | ||||
\(472\) | 10.9981 | + | 19.0492i | 0.506226 | + | 0.876810i | ||||
\(473\) | 1.41473 | + | 2.92228i | 0.0650493 | + | 0.134367i | ||||
\(474\) | −0.463978 | + | 1.73159i | −0.0213112 | + | 0.0795345i | ||||
\(475\) | −17.9751 | + | 14.5560i | −0.824756 | + | 0.667874i | ||||
\(476\) | −5.94248 | − | 11.6628i | −0.272373 | − | 0.534562i | ||||
\(477\) | −0.0727023 | + | 0.0807441i | −0.00332881 | + | 0.00369702i | ||||
\(478\) | −0.406785 | + | 0.0427549i | −0.0186059 | + | 0.00195556i | ||||
\(479\) | −14.0317 | + | 17.3277i | −0.641126 | + | 0.791725i | −0.989330 | − | 0.145694i | \(-0.953458\pi\) |
0.348204 | + | 0.937419i | \(0.386792\pi\) | |||||||
\(480\) | 6.30814 | + | 19.4145i | 0.287926 | + | 0.886145i | ||||
\(481\) | 14.1389 | + | 1.87677i | 0.644680 | + | 0.0855736i | ||||
\(482\) | 1.56146 | + | 1.13446i | 0.0711224 | + | 0.0516734i | ||||
\(483\) | 1.36124 | + | 5.08020i | 0.0619383 | + | 0.231157i | ||||
\(484\) | 12.1605 | + | 14.6657i | 0.552752 | + | 0.666623i | ||||
\(485\) | 31.7871 | − | 18.3523i | 1.44338 | − | 0.833334i | ||||
\(486\) | −0.511353 | + | 0.0809903i | −0.0231954 | + | 0.00367379i | ||||
\(487\) | 13.9482 | + | 9.05808i | 0.632054 | + | 0.410461i | 0.820519 | − | 0.571619i | \(-0.193684\pi\) |
−0.188465 | + | 0.982080i | \(0.560351\pi\) | |||||||
\(488\) | −0.204664 | − | 3.90523i | −0.00926472 | − | 0.176781i | ||||
\(489\) | 2.85176 | − | 18.0053i | 0.128961 | − | 0.814228i | ||||
\(490\) | 4.48465 | − | 10.0727i | 0.202596 | − | 0.455038i | ||||
\(491\) | −28.2358 | − | 6.00170i | −1.27426 | − | 0.270853i | −0.479375 | − | 0.877610i | \(-0.659137\pi\) |
−0.794887 | + | 0.606758i | \(0.792470\pi\) | |||||||
\(492\) | 0.801482 | − | 15.2932i | 0.0361336 | − | 0.689470i | ||||
\(493\) | −32.7961 | + | 45.1400i | −1.47706 | + | 2.03300i | ||||
\(494\) | −0.318666 | + | 3.99455i | −0.0143375 | + | 0.179723i | ||||
\(495\) | −4.32501 | + | 12.4424i | −0.194395 | + | 0.559245i | ||||
\(496\) | −18.2010 | + | 4.87695i | −0.817250 | + | 0.218982i | ||||
\(497\) | −2.88771 | − | 6.48591i | −0.129532 | − | 0.290933i | ||||
\(498\) | 0.600792 | + | 2.82650i | 0.0269221 | + | 0.126659i | ||||
\(499\) | 12.5253 | − | 24.5823i | 0.560709 | − | 1.10045i | −0.420461 | − | 0.907310i | \(-0.638132\pi\) |
0.981171 | − | 0.193143i | \(-0.0618682\pi\) | |||||||
\(500\) | 14.2350 | + | 37.0835i | 0.636610 | + | 1.65842i | ||||
\(501\) | −5.50438 | − | 14.3394i | −0.245917 | − | 0.640637i | ||||
\(502\) | −0.449957 | + | 0.883090i | −0.0200825 | + | 0.0394142i | ||||
\(503\) | −2.59128 | − | 12.1910i | −0.115539 | − | 0.543570i | −0.997400 | − | 0.0720606i | \(-0.977043\pi\) |
0.881861 | − | 0.471510i | \(-0.156291\pi\) | |||||||
\(504\) | −1.00575 | − | 2.25895i | −0.0447997 | − | 0.100622i | ||||
\(505\) | −40.2294 | + | 10.7794i | −1.79019 | + | 0.479679i | ||||
\(506\) | 5.79222 | − | 4.03057i | 0.257496 | − | 0.179180i | ||||
\(507\) | 8.20270 | − | 10.0854i | 0.364295 | − | 0.447909i | ||||
\(508\) | −4.28822 | + | 5.90223i | −0.190259 | + | 0.261869i | ||||
\(509\) | 1.37046 | − | 26.1499i | 0.0607444 | − | 1.15907i | −0.782892 | − | 0.622157i | \(-0.786256\pi\) |
0.843637 | − | 0.536915i | \(-0.180410\pi\) | |||||||
\(510\) | −11.8775 | − | 2.52465i | −0.525946 | − | 0.111793i | ||||
\(511\) | 3.80323 | − | 8.54220i | 0.168245 | − | 0.377885i | ||||
\(512\) | 3.47007 | − | 21.9092i | 0.153357 | − | 0.968258i | ||||
\(513\) | 0.112350 | + | 2.14377i | 0.00496037 | + | 0.0946496i | ||||
\(514\) | −6.12977 | − | 3.98072i | −0.270372 | − | 0.175582i | ||||
\(515\) | −0.312264 | + | 0.0494577i | −0.0137600 | + | 0.00217937i | ||||
\(516\) | 1.46831 | − | 0.847727i | 0.0646386 | − | 0.0373191i | ||||
\(517\) | 7.40892 | + | 17.5972i | 0.325844 | + | 0.773925i | ||||
\(518\) | −0.678382 | − | 2.53176i | −0.0298064 | − | 0.111239i | ||||
\(519\) | −5.15611 | − | 3.74613i | −0.226328 | − | 0.164437i | ||||
\(520\) | 25.5511 | + | 10.6156i | 1.12049 | + | 0.465524i | ||||
\(521\) | −0.483847 | − | 1.48913i | −0.0211977 | − | 0.0652399i | 0.939898 | − | 0.341455i | \(-0.110920\pi\) |
−0.961096 | + | 0.276215i | \(0.910920\pi\) | |||||||
\(522\) | −3.07845 | + | 3.80157i | −0.134740 | + | 0.166390i | ||||
\(523\) | 23.8157 | − | 2.50313i | 1.04139 | − | 0.109454i | 0.431636 | − | 0.902048i | \(-0.357936\pi\) |
0.609750 | + | 0.792594i | \(0.291270\pi\) | |||||||
\(524\) | −13.7666 | + | 15.2894i | −0.601397 | + | 0.667919i | ||||
\(525\) | −6.26013 | − | 12.2862i | −0.273214 | − | 0.536213i | ||||
\(526\) | −2.80556 | + | 2.27190i | −0.122328 | + | 0.0990595i | ||||
\(527\) | 11.6902 | − | 43.6284i | 0.509233 | − | 1.90048i | ||||
\(528\) | 5.89418 | − | 5.65873i | 0.256511 | − | 0.246265i | ||||
\(529\) | −3.05568 | − | 5.29260i | −0.132856 | − | 0.230113i | ||||
\(530\) | −0.204101 | + | 0.0908717i | −0.00886559 | + | 0.00394722i | ||||
\(531\) | 11.3688 | + | 0.595811i | 0.493362 | + | 0.0258560i | ||||
\(532\) | −4.52540 | + | 1.47039i | −0.196201 | + | 0.0637495i | ||||
\(533\) | −23.1020 | − | 21.9699i | −1.00066 | − | 0.951621i | ||||
\(534\) | −5.27009 | − | 7.25366i | −0.228059 | − | 0.313897i | ||||
\(535\) | −26.8508 | + | 17.4371i | −1.16086 | + | 0.753873i | ||||
\(536\) | 17.5282 | − | 15.7824i | 0.757102 | − | 0.681697i | ||||
\(537\) | 9.73928 | + | 1.02364i | 0.420281 | + | 0.0441733i | ||||
\(538\) | −9.81796 | + | 9.81796i | −0.423282 | + | 0.423282i | ||||
\(539\) | −17.7751 | + | 0.568681i | −0.765627 | + | 0.0244948i | ||||
\(540\) | 6.64445 | + | 1.78038i | 0.285932 | + | 0.0766152i | ||||
\(541\) | 5.19989 | + | 32.8308i | 0.223561 | + | 1.41151i | 0.802751 | + | 0.596315i | \(0.203369\pi\) |
−0.579190 | + | 0.815193i | \(0.696631\pi\) | |||||||
\(542\) | 1.32590 | − | 0.281829i | 0.0569524 | − | 0.0121056i | ||||
\(543\) | −3.03045 | + | 14.2571i | −0.130049 | + | 0.611833i | ||||
\(544\) | 23.5878 | + | 19.1010i | 1.01132 | + | 0.818950i | ||||
\(545\) | 31.5661 | − | 22.9341i | 1.35215 | − | 0.982391i | ||||
\(546\) | −2.28987 | − | 0.680949i | −0.0979975 | − | 0.0291419i | ||||
\(547\) | 38.1275 | + | 12.3884i | 1.63021 | + | 0.529689i | 0.974321 | − | 0.225165i | \(-0.0722922\pi\) |
0.655893 | + | 0.754854i | \(0.272292\pi\) | |||||||
\(548\) | −16.2499 | − | 6.23775i | −0.694161 | − | 0.266463i | ||||
\(549\) | −1.75281 | − | 1.01199i | −0.0748082 | − | 0.0431905i | ||||
\(550\) | −12.6571 | + | 13.4938i | −0.539701 | + | 0.575376i | ||||
\(551\) | 14.3423 | + | 14.3423i | 0.611002 | + | 0.611002i | ||||
\(552\) | −4.99697 | − | 6.17074i | −0.212685 | − | 0.262644i | ||||
\(553\) | −2.41351 | + | 3.71648i | −0.102633 | + | 0.158041i | ||||
\(554\) | −8.24110 | − | 4.19905i | −0.350131 | − | 0.178400i | ||||
\(555\) | 14.3531 | + | 6.39041i | 0.609255 | + | 0.271258i | ||||
\(556\) | 0.357651 | + | 3.40282i | 0.0151678 | + | 0.144312i | ||||
\(557\) | 0.672087 | + | 1.03492i | 0.0284773 | + | 0.0438511i | 0.852623 | − | 0.522527i | \(-0.175011\pi\) |
−0.824145 | + | 0.566378i | \(0.808344\pi\) | |||||||
\(558\) | 1.22367 | − | 3.76607i | 0.0518021 | − | 0.159431i | ||||
\(559\) | 0.646913 | − | 3.46977i | 0.0273615 | − | 0.146755i | ||||
\(560\) | 12.5224i | 0.529168i | ||||||||
\(561\) | 4.68262 | + | 19.0177i | 0.197701 | + | 0.802929i | ||||
\(562\) | 5.81187 | − | 10.0665i | 0.245159 | − | 0.424628i | ||||
\(563\) | −1.32363 | + | 12.5935i | −0.0557845 | + | 0.530754i | 0.930570 | + | 0.366115i | \(0.119312\pi\) |
−0.986354 | + | 0.164638i | \(0.947354\pi\) | |||||||
\(564\) | 8.88389 | − | 4.52657i | 0.374079 | − | 0.190603i | ||||
\(565\) | 30.4942 | − | 1.59813i | 1.28290 | − | 0.0672340i | ||||
\(566\) | 1.43493 | − | 0.550818i | 0.0603146 | − | 0.0231526i | ||||
\(567\) | −1.26404 | − | 0.200204i | −0.0530845 | − | 0.00840777i | ||||
\(568\) | 7.96548 | + | 7.17215i | 0.334224 | + | 0.300937i | ||||
\(569\) | −16.3866 | − | 18.1992i | −0.686962 | − | 0.762949i | 0.294282 | − | 0.955719i | \(-0.404920\pi\) |
−0.981244 | + | 0.192770i | \(0.938253\pi\) | |||||||
\(570\) | −1.58190 | + | 4.12100i | −0.0662587 | + | 0.172610i | ||||
\(571\) | 8.16385 | 0.341646 | 0.170823 | − | 0.985302i | \(-0.445357\pi\) | ||||
0.170823 | + | 0.985302i | \(0.445357\pi\) | |||||||
\(572\) | −1.18187 | − | 20.6775i | −0.0494166 | − | 0.864568i | ||||
\(573\) | −15.0840 | −0.630143 | ||||||||
\(574\) | −2.09955 | + | 5.46951i | −0.0876334 | + | 0.228293i | ||||
\(575\) | −29.6282 | − | 32.9054i | −1.23558 | − | 1.37225i | ||||
\(576\) | −1.68413 | − | 1.51640i | −0.0701721 | − | 0.0631832i | ||||
\(577\) | 38.1139 | + | 6.03665i | 1.58670 | + | 0.251309i | 0.886532 | − | 0.462668i | \(-0.153108\pi\) |
0.700170 | + | 0.713976i | \(0.253108\pi\) | |||||||
\(578\) | −8.63864 | + | 3.31606i | −0.359320 | + | 0.137930i | ||||
\(579\) | 16.5205 | − | 0.865803i | 0.686569 | − | 0.0359815i | ||||
\(580\) | 57.9104 | − | 29.5068i | 2.40460 | − | 1.22520i | ||||
\(581\) | −0.746653 | + | 7.10393i | −0.0309764 | + | 0.294721i | ||||
\(582\) | 2.39228 | − | 4.14356i | 0.0991633 | − | 0.171756i | ||||
\(583\) | 0.275371 | + | 0.232440i | 0.0114047 | + | 0.00962666i | ||||
\(584\) | 14.1168i | 0.584158i | ||||||||
\(585\) | 11.8103 | − | 8.09846i | 0.488296 | − | 0.334830i | ||||
\(586\) | −2.93708 | + | 9.03940i | −0.121330 | + | 0.373414i | ||||
\(587\) | −2.43158 | − | 3.74430i | −0.100362 | − | 0.154544i | 0.784922 | − | 0.619594i | \(-0.212703\pi\) |
−0.885284 | + | 0.465050i | \(0.846036\pi\) | |||||||
\(588\) | 0.970755 | + | 9.23611i | 0.0400333 | + | 0.380891i | ||||
\(589\) | −14.9998 | − | 6.67833i | −0.618055 | − | 0.275176i | ||||
\(590\) | 20.8577 | + | 10.6276i | 0.858700 | + | 0.437529i | ||||
\(591\) | −3.29590 | + | 5.07524i | −0.135575 | + | 0.208767i | ||||
\(592\) | −6.13310 | − | 7.57375i | −0.252069 | − | 0.311279i | ||||
\(593\) | −13.8395 | − | 13.8395i | −0.568320 | − | 0.568320i | 0.363337 | − | 0.931658i | \(-0.381637\pi\) |
−0.931658 | + | 0.363337i | \(0.881637\pi\) | |||||||
\(594\) | 0.322709 | + | 1.68651i | 0.0132409 | + | 0.0691983i | ||||
\(595\) | −25.9951 | − | 15.0083i | −1.06570 | − | 0.615280i | ||||
\(596\) | −17.8906 | − | 6.86756i | −0.732828 | − | 0.281306i | ||||
\(597\) | 5.19216 | + | 1.68703i | 0.212501 | + | 0.0690457i | ||||
\(598\) | −7.66846 | − | 0.208992i | −0.313587 | − | 0.00854634i | ||||
\(599\) | −8.84375 | + | 6.42536i | −0.361346 | + | 0.262533i | −0.753613 | − | 0.657318i | \(-0.771691\pi\) |
0.392267 | + | 0.919851i | \(0.371691\pi\) | |||||||
\(600\) | 16.1784 | + | 13.1010i | 0.660482 | + | 0.534848i | ||||
\(601\) | −8.24506 | + | 38.7900i | −0.336323 | + | 1.58228i | 0.407055 | + | 0.913404i | \(0.366556\pi\) |
−0.743378 | + | 0.668872i | \(0.766777\pi\) | |||||||
\(602\) | −0.634444 | + | 0.134855i | −0.0258580 | + | 0.00549629i | ||||
\(603\) | −1.90967 | − | 12.0572i | −0.0777678 | − | 0.491006i | ||||
\(604\) | −16.0715 | − | 4.30634i | −0.653939 | − | 0.175223i | ||||
\(605\) | 41.7044 | + | 13.0175i | 1.69553 | + | 0.529237i | ||||
\(606\) | −3.83891 | + | 3.83891i | −0.155945 | + | 0.155945i | ||||
\(607\) | 46.5121 | + | 4.88862i | 1.88787 | + | 0.198423i | 0.976847 | − | 0.213939i | \(-0.0686292\pi\) |
0.911020 | + | 0.412361i | \(0.135296\pi\) | |||||||
\(608\) | 8.19951 | − | 7.38287i | 0.332534 | − | 0.299415i | ||||
\(609\) | −10.1412 | + | 6.58580i | −0.410944 | + | 0.266870i | ||||
\(610\) | −2.44625 | − | 3.36698i | −0.0990459 | − | 0.136325i | ||||
\(611\) | 4.86706 | − | 20.1779i | 0.196900 | − | 0.816311i | ||||
\(612\) | 9.72719 | − | 3.16056i | 0.393198 | − | 0.127758i | ||||
\(613\) | 6.48096 | + | 0.339653i | 0.261764 | + | 0.0137184i | 0.182766 | − | 0.983156i | \(-0.441495\pi\) |
0.0789972 | + | 0.996875i | \(0.474828\pi\) | |||||||
\(614\) | −4.53165 | + | 2.01762i | −0.182883 | + | 0.0814246i | ||||
\(615\) | −17.5592 | − | 30.4134i | −0.708054 | − | 1.22639i | ||||
\(616\) | −7.38160 | + | 3.57357i | −0.297413 | + | 0.143983i | ||||
\(617\) | −1.51964 | + | 5.67136i | −0.0611782 | + | 0.228320i | −0.989745 | − | 0.142845i | \(-0.954375\pi\) |
0.928567 | + | 0.371165i | \(0.121042\pi\) | |||||||
\(618\) | −0.0320278 | + | 0.0259356i | −0.00128835 | + | 0.00104328i | ||||
\(619\) | 0.527035 | + | 1.03436i | 0.0211833 | + | 0.0415746i | 0.901356 | − | 0.433080i | \(-0.142573\pi\) |
−0.880172 | + | 0.474654i | \(0.842573\pi\) | |||||||
\(620\) | −35.2053 | + | 39.0994i | −1.41388 | + | 1.57027i | ||||
\(621\) | −4.08707 | + | 0.429568i | −0.164008 | + | 0.0172380i | ||||
\(622\) | −5.68742 | + | 7.02338i | −0.228045 | + | 0.281612i | ||||
\(623\) | −6.84890 | − | 21.0788i | −0.274396 | − | 0.844503i | ||||
\(624\) | −8.80788 | + | 1.15002i | −0.352597 | + | 0.0460377i | ||||
\(625\) | 30.1094 | + | 21.8757i | 1.20437 | + | 0.875029i | ||||
\(626\) | 1.68675 | + | 6.29505i | 0.0674162 | + | 0.251601i | ||||
\(627\) | 7.09452 | − | 0.599790i | 0.283328 | − | 0.0239533i | ||||
\(628\) | 26.1840 | − | 15.1174i | 1.04486 | − | 0.603249i | ||||
\(629\) | 23.0729 | − | 3.65438i | 0.919975 | − | 0.145710i | ||||
\(630\) | −2.20704 | − | 1.43327i | −0.0879304 | − | 0.0571027i | ||||
\(631\) | −0.250306 | − | 4.77613i | −0.00996454 | − | 0.190135i | −0.999076 | − | 0.0429691i | \(-0.986318\pi\) |
0.989112 | − | 0.147166i | \(-0.0470150\pi\) | |||||||
\(632\) | 1.04657 | − | 6.60781i | 0.0416305 | − | 0.262845i | ||||
\(633\) | −2.34287 | + | 5.26217i | −0.0931207 | + | 0.209152i | ||||
\(634\) | −0.830824 | − | 0.176597i | −0.0329962 | − | 0.00701357i | ||||
\(635\) | −0.875586 | + | 16.7072i | −0.0347466 | + | 0.663004i | ||||
\(636\) | 0.110610 | − | 0.152241i | 0.00438596 | − | 0.00603676i | ||||
\(637\) | 15.9215 | + | 10.9676i | 0.630833 | + | 0.434551i | ||||
\(638\) | 12.9284 | + | 9.80168i | 0.511841 | + | 0.388052i | ||||
\(639\) | 5.35852 | − | 1.43581i | 0.211980 | − | 0.0567998i | ||||
\(640\) | −18.5013 | − | 41.5545i | −0.731327 | − | 1.64259i | ||||
\(641\) | 7.65420 | + | 36.0102i | 0.302323 | + | 1.42232i | 0.822746 | + | 0.568409i | \(0.192441\pi\) |
−0.520424 | + | 0.853908i | \(0.674226\pi\) | |||||||
\(642\) | −1.89468 | + | 3.71852i | −0.0747771 | + | 0.146758i | ||||
\(643\) | 9.89991 | + | 25.7901i | 0.390414 | + | 1.01706i | 0.978130 | + | 0.207996i | \(0.0666942\pi\) |
−0.587715 | + | 0.809068i | \(0.699973\pi\) | |||||||
\(644\) | −3.26440 | − | 8.50406i | −0.128635 | − | 0.335107i | ||||
\(645\) | 1.76511 | − | 3.46423i | 0.0695013 | − | 0.136404i | ||||
\(646\) | 1.36457 | + | 6.41980i | 0.0536883 | + | 0.252584i | ||||
\(647\) | 9.46188 | + | 21.2517i | 0.371985 | + | 0.835492i | 0.998429 | + | 0.0560256i | \(0.0178428\pi\) |
−0.626444 | + | 0.779466i | \(0.715490\pi\) | |||||||
\(648\) | 1.86630 | − | 0.500073i | 0.0733151 | − | 0.0196447i | ||||
\(649\) | 0.769357 | − | 37.7498i | 0.0301999 | − | 1.48181i | ||||
\(650\) | 19.7797 | − | 3.64414i | 0.775825 | − | 0.142935i | ||||
\(651\) | 5.75361 | − | 7.91916i | 0.225502 | − | 0.310376i | ||||
\(652\) | −1.65241 | + | 31.5299i | −0.0647135 | + | 1.23481i | ||||
\(653\) | 20.8362 | + | 4.42888i | 0.815385 | + | 0.173315i | 0.596684 | − | 0.802476i | \(-0.296485\pi\) |
0.218701 | + | 0.975792i | \(0.429818\pi\) | |||||||
\(654\) | 2.06871 | − | 4.64640i | 0.0808931 | − | 0.181689i | ||||
\(655\) | −7.38055 | + | 46.5989i | −0.288382 | + | 1.82077i | ||||
\(656\) | 1.14006 | + | 21.7536i | 0.0445118 | + | 0.849335i | ||||
\(657\) | 6.12761 | + | 3.97932i | 0.239061 | + | 0.155248i | ||||
\(658\) | −3.76743 | + | 0.596702i | −0.146870 | + | 0.0232619i | ||||
\(659\) | −15.9775 | + | 9.22461i | −0.622395 | + | 0.359340i | −0.777801 | − | 0.628511i | \(-0.783665\pi\) |
0.155406 | + | 0.987851i | \(0.450331\pi\) | |||||||
\(660\) | 5.19714 | − | 22.2147i | 0.202298 | − | 0.864706i | ||||
\(661\) | 0.469639 | + | 1.75272i | 0.0182668 | + | 0.0681727i | 0.974458 | − | 0.224571i | \(-0.0720982\pi\) |
−0.956191 | + | 0.292744i | \(0.905432\pi\) | |||||||
\(662\) | 4.74391 | + | 3.44665i | 0.184377 | + | 0.133958i | ||||
\(663\) | 8.16905 | − | 19.6625i | 0.317260 | − | 0.763628i | ||||
\(664\) | −3.33246 | − | 10.2562i | −0.129324 | − | 0.398019i | ||||
\(665\) | −6.86692 | + | 8.47994i | −0.266288 | + | 0.328838i | ||||
\(666\) | 2.03682 | − | 0.214078i | 0.0789252 | − | 0.00829537i | ||||
\(667\) | −25.9817 | + | 28.8556i | −1.00602 | + | 1.11730i | ||||
\(668\) | 12.0771 | + | 23.7027i | 0.467278 | + | 0.917084i | ||||
\(669\) | −13.3631 | + | 10.8212i | −0.516648 | + | 0.418373i | ||||
\(670\) | 6.49681 | − | 24.2464i | 0.250994 | − | 0.936721i | ||||
\(671\) | −3.16877 | + | 5.91777i | −0.122329 | + | 0.228453i | ||||
\(672\) | 3.28890 | + | 5.69655i | 0.126872 | + | 0.219749i | ||||
\(673\) | 0.893796 | − | 0.397944i | 0.0344533 | − | 0.0153396i | −0.389438 | − | 0.921053i | \(-0.627331\pi\) |
0.423891 | + | 0.905713i | \(0.360664\pi\) | |||||||
\(674\) | −9.35466 | − | 0.490257i | −0.360328 | − | 0.0188840i | ||||
\(675\) | 10.2471 | − | 3.32950i | 0.394413 | − | 0.128153i | ||||
\(676\) | −12.3031 | + | 18.8569i | −0.473195 | + | 0.725264i | ||||
\(677\) | 10.4987 | + | 14.4503i | 0.403499 | + | 0.555369i | 0.961618 | − | 0.274392i | \(-0.0884766\pi\) |
−0.558119 | + | 0.829761i | \(0.688477\pi\) | |||||||
\(678\) | 3.33832 | − | 2.16793i | 0.128207 | − | 0.0832587i | ||||
\(679\) | 8.78932 | − | 7.91394i | 0.337303 | − | 0.303709i | ||||
\(680\) | 45.0685 | + | 4.73689i | 1.72830 | + | 0.181651i | ||||
\(681\) | −20.5216 | + | 20.5216i | −0.786390 | + | 0.786390i | ||||
\(682\) | −12.6140 | − | 3.65697i | −0.483016 | − | 0.140033i | ||||
\(683\) | 9.59866 | + | 2.57195i | 0.367283 | + | 0.0984131i | 0.437740 | − | 0.899102i | \(-0.355779\pi\) |
−0.0704571 | + | 0.997515i | \(0.522446\pi\) | |||||||
\(684\) | −0.581625 | − | 3.67224i | −0.0222390 | − | 0.140411i | ||||
\(685\) | −39.0430 | + | 8.29884i | −1.49176 | + | 0.317083i | ||||
\(686\) | 1.70299 | − | 8.01194i | 0.0650205 | − | 0.305897i | ||||
\(687\) | −1.03944 | − | 0.841721i | −0.0396571 | − | 0.0321137i | ||||
\(688\) | −1.95109 | + | 1.41755i | −0.0743845 | + | 0.0540435i | ||||
\(689\) | −0.0910458 | − | 0.381023i | −0.00346857 | − | 0.0145158i | ||||
\(690\) | −8.03677 | − | 2.61131i | −0.305955 | − | 0.0994107i | ||||
\(691\) | 7.78842 | + | 2.98969i | 0.296285 | + | 0.113733i | 0.501970 | − | 0.864885i | \(-0.332609\pi\) |
−0.205685 | + | 0.978618i | \(0.565942\pi\) | |||||||
\(692\) | 9.55945 | + | 5.51915i | 0.363396 | + | 0.209807i | ||||
\(693\) | −0.529604 | + | 4.21142i | −0.0201180 | + | 0.159979i | ||||
\(694\) | −4.15924 | − | 4.15924i | −0.157883 | − | 0.157883i | ||||
\(695\) | 4.93784 | + | 6.09772i | 0.187303 | + | 0.231300i | ||||
\(696\) | 9.94275 | − | 15.3105i | 0.376879 | − | 0.580342i | ||||
\(697\) | −46.5244 | − | 23.7054i | −1.76224 | − | 0.897904i | ||||
\(698\) | 12.4257 | + | 5.53226i | 0.470318 | + | 0.209399i | ||||
\(699\) | 0.844611 | + | 8.03594i | 0.0319461 | + | 0.303947i | ||||
\(700\) | 13.0072 | + | 20.0293i | 0.491625 | + | 0.757036i | ||||
\(701\) | −2.67987 | + | 8.24779i | −0.101217 | + | 0.311515i | −0.988824 | − | 0.149087i | \(-0.952366\pi\) |
0.887607 | + | 0.460602i | \(0.152366\pi\) | |||||||
\(702\) | 0.805428 | − | 1.68399i | 0.0303989 | − | 0.0635581i | ||||
\(703\) | − | 8.49202i | − | 0.320283i | ||||||
\(704\) | −4.84814 | + | 5.74359i | −0.182721 | + | 0.216470i | ||||
\(705\) | 11.4323 | − | 19.8013i | 0.430564 | − | 0.745759i | ||||
\(706\) | 0.818718 | − | 7.78958i | 0.0308129 | − | 0.293165i | ||||
\(707\) | −11.9576 | + | 6.09269i | −0.449711 | + | 0.229139i | ||||
\(708\) | −19.6902 | + | 1.03192i | −0.740003 | + | 0.0387819i | ||||
\(709\) | 13.2798 | − | 5.09764i | 0.498733 | − | 0.191446i | −0.0959805 | − | 0.995383i | \(-0.530599\pi\) |
0.594714 | + | 0.803937i | \(0.297265\pi\) | |||||||
\(710\) | 11.2668 | + | 1.78448i | 0.422834 | + | 0.0669704i | ||||
\(711\) | −2.57320 | − | 2.31692i | −0.0965026 | − | 0.0868913i | ||||
\(712\) | 22.3897 | + | 24.8662i | 0.839088 | + | 0.931901i | ||||
\(713\) | 11.2644 | − | 29.3448i | 0.421855 | − | 1.09897i | ||||
\(714\) | −3.91277 | −0.146432 | ||||||||
\(715\) | −28.0984 | − | 38.2914i | −1.05082 | − | 1.43202i | ||||
\(716\) | −16.9610 | −0.633861 | ||||||||
\(717\) | 0.283126 | − | 0.737568i | 0.0105735 | − | 0.0275450i | ||||
\(718\) | −7.97553 | − | 8.85772i | −0.297644 | − | 0.330567i | ||||
\(719\) | −12.5999 | − | 11.3450i | −0.469898 | − | 0.423098i | 0.399860 | − | 0.916576i | \(-0.369059\pi\) |
−0.869758 | + | 0.493478i | \(0.835725\pi\) | |||||||
\(720\) | −9.66424 | − | 1.53067i | −0.360165 | − | 0.0570446i | ||||
\(721\) | −0.0951076 | + | 0.0365084i | −0.00354199 | + | 0.00135964i | ||||
\(722\) | −7.44073 | + | 0.389952i | −0.276915 | + | 0.0145125i | ||||
\(723\) | −3.32164 | + | 1.69246i | −0.123533 | + | 0.0629432i | ||||
\(724\) | 2.63876 | − | 25.1062i | 0.0980689 | − | 0.933063i | ||||
\(725\) | 50.9011 | − | 88.1632i | 1.89042 | − | 3.27430i | ||||
\(726\) | 5.55643 | − | 1.24862i | 0.206218 | − | 0.0463406i | ||||
\(727\) | − | 32.2814i | − | 1.19725i | −0.801029 | − | 0.598625i | \(-0.795714\pi\) | ||
0.801029 | − | 0.598625i | \(-0.204286\pi\) | |||||||
\(728\) | 8.76453 | + | 1.63408i | 0.324835 | + | 0.0605632i | ||||
\(729\) | 0.309017 | − | 0.951057i | 0.0114451 | − | 0.0352243i | ||||
\(730\) | 8.18251 | + | 12.6000i | 0.302848 | + | 0.466346i | ||||
\(731\) | −0.604264 | − | 5.74919i | −0.0223495 | − | 0.212641i | ||||
\(732\) | 3.20238 | + | 1.42579i | 0.118363 | + | 0.0526987i | ||||
\(733\) | 37.9606 | + | 19.3419i | 1.40211 | + | 0.714410i | 0.981254 | − | 0.192719i | \(-0.0617305\pi\) |
0.420854 | + | 0.907128i | \(0.361731\pi\) | |||||||
\(734\) | −6.73996 | + | 10.3786i | −0.248777 | + | 0.383082i | ||||
\(735\) | 13.4025 | + | 16.5507i | 0.494360 | + | 0.610484i | ||||
\(736\) | 14.9356 | + | 14.9356i | 0.550535 | + | 0.550535i | ||||
\(737\) | −39.7662 | + | 7.60914i | −1.46481 | + | 0.280286i | ||||
\(738\) | −3.96449 | − | 2.28890i | −0.145935 | − | 0.0842556i | ||||
\(739\) | 17.6744 | + | 6.78455i | 0.650162 | + | 0.249574i | 0.661021 | − | 0.750367i | \(-0.270123\pi\) |
−0.0108594 | + | 0.999941i | \(0.503457\pi\) | |||||||
\(740\) | −25.8797 | − | 8.40883i | −0.951357 | − | 0.309115i | ||||
\(741\) | −6.59517 | − | 4.05121i | −0.242280 | − | 0.148825i | ||||
\(742\) | −0.0582418 | + | 0.0423152i | −0.00213813 | + | 0.00155344i | ||||
\(743\) | −20.8366 | − | 16.8731i | −0.764420 | − | 0.619015i | 0.165740 | − | 0.986169i | \(-0.446999\pi\) |
−0.930160 | + | 0.367155i | \(0.880332\pi\) | |||||||
\(744\) | −3.07254 | + | 14.4552i | −0.112645 | + | 0.529953i | ||||
\(745\) | −42.9851 | + | 9.13676i | −1.57485 | + | 0.334745i | ||||
\(746\) | −2.57694 | − | 16.2702i | −0.0943486 | − | 0.595693i | ||||
\(747\) | −5.39124 | − | 1.44458i | −0.197255 | − | 0.0528543i | ||||
\(748\) | −11.5086 | − | 31.9098i | −0.420797 | − | 1.16674i | ||||
\(749\) | −7.29480 | + | 7.29480i | −0.266546 | + | 0.266546i | ||||
\(750\) | 11.8088 | + | 1.24116i | 0.431197 | + | 0.0453206i | ||||
\(751\) | −39.5514 | + | 35.6122i | −1.44325 | + | 1.29951i | −0.561763 | + | 0.827298i | \(0.689877\pi\) |
−0.881486 | + | 0.472210i | \(0.843456\pi\) | |||||||
\(752\) | −11.8945 | + | 7.72438i | −0.433748 | + | 0.281679i | ||||
\(753\) | −1.12523 | − | 1.54875i | −0.0410057 | − | 0.0564395i | ||||
\(754\) | −4.99122 | − | 16.9163i | −0.181770 | − | 0.616057i | ||||
\(755\) | −36.2876 | + | 11.7906i | −1.32064 | + | 0.429103i | ||||
\(756\) | 2.21351 | + | 0.116005i | 0.0805046 | + | 0.00421907i | ||||
\(757\) | 15.3264 | − | 6.82376i | 0.557048 | − | 0.248014i | −0.108848 | − | 0.994058i | \(-0.534716\pi\) |
0.665896 | + | 0.746044i | \(0.268049\pi\) | |||||||
\(758\) | −0.566529 | − | 0.981257i | −0.0205773 | − | 0.0356409i | ||||
\(759\) | 1.85744 | + | 13.5028i | 0.0674208 | + | 0.490120i | ||||
\(760\) | 4.26368 | − | 15.9123i | 0.154660 | − | 0.577198i | ||||
\(761\) | −9.04525 | + | 7.32470i | −0.327890 | + | 0.265520i | −0.779103 | − | 0.626896i | \(-0.784325\pi\) |
0.451213 | + | 0.892416i | \(0.350992\pi\) | |||||||
\(762\) | 0.990075 | + | 1.94313i | 0.0358666 | + | 0.0703922i | ||||
\(763\) | 8.41273 | − | 9.34328i | 0.304561 | − | 0.338250i | ||||
\(764\) | 25.9817 | − | 2.73079i | 0.939986 | − | 0.0987965i | ||||
\(765\) | 14.7602 | − | 18.2274i | 0.533657 | − | 0.659012i | ||||
\(766\) | 0.219616 | + | 0.675910i | 0.00793506 | + | 0.0244216i | ||||
\(767\) | −25.0225 | + | 32.5380i | −0.903509 | + | 1.17488i | ||||
\(768\) | −1.13017 | − | 0.821113i | −0.0407813 | − | 0.0296294i | ||||
\(769\) | 3.78383 | + | 14.1215i | 0.136449 | + | 0.509233i | 0.999988 | + | 0.00495112i | \(0.00157600\pi\) |
−0.863539 | + | 0.504282i | \(0.831757\pi\) | |||||||
\(770\) | −4.51711 | + | 7.46817i | −0.162785 | + | 0.269134i | ||||
\(771\) | 12.2259 | − | 7.05865i | 0.440307 | − | 0.254211i | ||||
\(772\) | −28.2993 | + | 4.48218i | −1.01852 | + | 0.161317i | ||||
\(773\) | 1.91578 | + | 1.24412i | 0.0689059 | + | 0.0447480i | 0.578632 | − | 0.815589i | \(-0.303587\pi\) |
−0.509726 | + | 0.860337i | \(0.670253\pi\) | |||||||
\(774\) | −0.0265246 | − | 0.506120i | −0.000953408 | − | 0.0181921i | ||||
\(775\) | −12.8917 | + | 81.3951i | −0.463084 | + | 2.92380i | ||||
\(776\) | −7.26261 | + | 16.3121i | −0.260713 | + | 0.585570i | ||||
\(777\) | 4.95202 | + | 1.05258i | 0.177653 | + | 0.0377612i | ||||
\(778\) | −0.489051 | + | 9.33165i | −0.0175333 | + | 0.334556i | ||||
\(779\) | −11.1570 | + | 15.3563i | −0.399741 | + | 0.550197i | ||||
\(780\) | −18.8768 | + | 16.0875i | −0.675897 | + | 0.576025i | ||||
\(781\) | −5.32791 | − | 17.6108i | −0.190648 | − | 0.630165i | ||||
\(782\) | −12.1363 | + | 3.25190i | −0.433992 | + | 0.116288i | ||||
\(783\) | −3.84303 | − | 8.63158i | −0.137339 | − | 0.308468i | ||||
\(784\) | −2.74654 | − | 12.9215i | −0.0980909 | − | 0.461481i | ||||
\(785\) | 31.4770 | − | 61.7770i | 1.12346 | − | 2.20492i | ||||
\(786\) | 2.20398 | + | 5.74157i | 0.0786134 | + | 0.204795i | ||||
\(787\) | 8.57753 | + | 22.3452i | 0.305756 | + | 0.796521i | 0.997248 | + | 0.0741373i | \(0.0236203\pi\) |
−0.691492 | + | 0.722384i | \(0.743046\pi\) | |||||||
\(788\) | 4.75827 | − | 9.33864i | 0.169506 | − | 0.332675i | ||||
\(789\) | −1.44976 | − | 6.82058i | −0.0516128 | − | 0.242819i | ||||
\(790\) | −2.89595 | − | 6.50442i | −0.103033 | − | 0.231417i | ||||
\(791\) | 9.50427 | − | 2.54666i | 0.337933 | − | 0.0905489i | ||||
\(792\) | −1.85564 | − | 6.13361i | −0.0659372 | − | 0.217948i | ||||
\(793\) | 6.59000 | − | 3.13464i | 0.234018 | − | 0.111314i | ||||
\(794\) | 3.68794 | − | 5.07602i | 0.130880 | − | 0.180141i | ||||
\(795\) | 0.0225847 | − | 0.430942i | 0.000800998 | − | 0.0152840i | ||||
\(796\) | −9.24876 | − | 1.96588i | −0.327814 | − | 0.0696789i | ||||
\(797\) | −1.66597 | + | 3.74183i | −0.0590117 | + | 0.132542i | −0.940644 | − | 0.339394i | \(-0.889778\pi\) |
0.881633 | + | 0.471936i | \(0.156445\pi\) | |||||||
\(798\) | −0.222508 | + | 1.40486i | −0.00787670 | + | 0.0497315i | ||||
\(799\) | −1.77922 | − | 33.9495i | −0.0629441 | − | 1.20105i | ||||
\(800\) | −46.4440 | − | 30.1611i | −1.64204 | − | 1.06635i | ||||
\(801\) | 17.1048 | − | 2.70914i | 0.604370 | − | 0.0957228i | ||||
\(802\) | −13.8231 | + | 7.98079i | −0.488112 | + | 0.281811i | ||||
\(803\) | 12.5413 | − | 20.7346i | 0.442572 | − | 0.731709i | ||||
\(804\) | 5.47217 | + | 20.4224i | 0.192989 | + | 0.720243i | ||||
\(805\) | −16.8994 | − | 12.2782i | −0.595627 | − | 0.432748i | ||||
\(806\) | 8.67954 | + | 11.3364i | 0.305724 | + | 0.399308i | ||||
\(807\) | −8.28739 | − | 25.5060i | −0.291730 | − | 0.897853i | ||||
\(808\) | 12.7506 | − | 15.7457i | 0.448566 | − | 0.553932i | ||||
\(809\) | 29.8155 | − | 3.13373i | 1.04826 | − | 0.110176i | 0.435294 | − | 0.900288i | \(-0.356644\pi\) |
0.612962 | + | 0.790112i | \(0.289978\pi\) | |||||||
\(810\) | 1.37591 | − | 1.52810i | 0.0483444 | − | 0.0536919i | ||||
\(811\) | −4.71715 | − | 9.25792i | −0.165641 | − | 0.325090i | 0.793234 | − | 0.608917i | \(-0.208396\pi\) |
−0.958875 | + | 0.283827i | \(0.908396\pi\) | |||||||
\(812\) | 16.2757 | − | 13.1798i | 0.571166 | − | 0.462521i | ||||
\(813\) | −0.677647 | + | 2.52901i | −0.0237661 | + | 0.0886963i | ||||
\(814\) | −0.925670 | − | 6.72921i | −0.0324447 | − | 0.235859i | ||||
\(815\) | 36.2016 | + | 62.7031i | 1.26809 | + | 2.19639i | ||||
\(816\) | −13.2906 | + | 5.91735i | −0.465263 | + | 0.207149i | ||||
\(817\) | −2.09858 | − | 0.109982i | −0.0734201 | − | 0.00384778i | ||||
\(818\) | −4.95781 | + | 1.61089i | −0.173346 | + | 0.0563235i | ||||
\(819\) | 3.17988 | − | 3.34375i | 0.111114 | − | 0.116840i | ||||
\(820\) | 35.7512 | + | 49.2073i | 1.24848 | + | 1.71839i | ||||
\(821\) | −5.34217 | + | 3.46925i | −0.186443 | + | 0.121078i | −0.634486 | − | 0.772935i | \(-0.718788\pi\) |
0.448042 | + | 0.894012i | \(0.352121\pi\) | |||||||
\(822\) | −3.86665 | + | 3.48155i | −0.134865 | + | 0.121433i | ||||
\(823\) | −47.8641 | − | 5.03072i | −1.66844 | − | 0.175360i | −0.777311 | − | 0.629116i | \(-0.783417\pi\) |
−0.891126 | + | 0.453757i | \(0.850084\pi\) | |||||||
\(824\) | 0.108754 | − | 0.108754i | 0.00378863 | − | 0.00378863i | ||||
\(825\) | −12.1238 | − | 33.6155i | −0.422097 | − | 1.17034i | ||||
\(826\) | 7.28605 | + | 1.95229i | 0.253514 | + | 0.0679289i | ||||
\(827\) | −4.89983 | − | 30.9363i | −0.170384 | − | 1.07576i | −0.913572 | − | 0.406678i | \(-0.866687\pi\) |
0.743188 | − | 0.669083i | \(-0.233313\pi\) | |||||||
\(828\) | 6.96208 | − | 1.47984i | 0.241949 | − | 0.0514279i | ||||
\(829\) | 2.45346 | − | 11.5426i | 0.0852121 | − | 0.400891i | −0.914783 | − | 0.403945i | \(-0.867639\pi\) |
0.999995 | + | 0.00305370i | \(0.000972026\pi\) | |||||||
\(830\) | −8.91919 | − | 7.22262i | −0.309590 | − | 0.250701i | ||||
\(831\) | 14.4531 | − | 10.5008i | 0.501373 | − | 0.364269i | ||||
\(832\) | 7.94724 | − | 1.89900i | 0.275521 | − | 0.0658359i | ||||
\(833\) | 30.1153 | + | 9.78505i | 1.04343 | + | 0.339032i | ||||
\(834\) | 0.954860 | + | 0.366536i | 0.0330641 | + | 0.0126921i | ||||
\(835\) | 52.8308 | + | 30.5019i | 1.82829 | + | 1.05556i | ||||
\(836\) | −12.1115 | + | 2.31750i | −0.418886 | + | 0.0801526i | ||||
\(837\) | 5.40837 | + | 5.40837i | 0.186941 | + | 0.186941i | ||||
\(838\) | 4.50749 | + | 5.56629i | 0.155709 | + | 0.192284i | ||||
\(839\) | −16.6814 | + | 25.6870i | −0.575904 | + | 0.886815i | −0.999822 | − | 0.0188860i | \(-0.993988\pi\) |
0.423917 | + | 0.905701i | \(0.360655\pi\) | |||||||
\(840\) | 8.75056 | + | 4.45863i | 0.301923 | + | 0.153837i | ||||
\(841\) | −55.0622 | − | 24.5153i | −1.89870 | − | 0.845354i | ||||
\(842\) | −1.05877 | − | 10.0735i | −0.0364876 | − | 0.347156i | ||||
\(843\) | 12.2280 | + | 18.8294i | 0.421153 | + | 0.648519i | ||||
\(844\) | 3.08287 | − | 9.48809i | 0.106117 | − | 0.326593i | ||||
\(845\) | −0.110165 | + | 51.6321i | −0.00378980 | + | 1.77620i | ||||
\(846\) | − | 2.98047i | − | 0.102471i | ||||||
\(847\) | 14.0167 | + | 1.30896i | 0.481621 | + | 0.0449762i | ||||
\(848\) | −0.133837 | + | 0.231813i | −0.00459600 | + | 0.00796050i | ||||
\(849\) | −0.310322 | + | 2.95252i | −0.0106502 | + | 0.101330i | ||||
\(850\) | 29.3509 | − | 14.9550i | 1.00673 | − | 0.512954i | ||||
\(851\) | 16.2345 | − | 0.850815i | 0.556512 | − | 0.0291656i | ||||
\(852\) | −8.96996 | + | 3.44325i | −0.307306 | + | 0.117964i | ||||
\(853\) | −23.3967 | − | 3.70568i | −0.801089 | − | 0.126880i | −0.257551 | − | 0.966265i | \(-0.582916\pi\) |
−0.543538 | + | 0.839385i | \(0.682916\pi\) | |||||||
\(854\) | −0.996594 | − | 0.897338i | −0.0341028 | − | 0.0307063i | ||||
\(855\) | −5.70508 | − | 6.33613i | −0.195110 | − | 0.216691i | ||||
\(856\) | 5.58156 | − | 14.5405i | 0.190774 | − | 0.496983i | ||||
\(857\) | 56.2300 | 1.92078 | 0.960390 | − | 0.278658i | \(-0.0898896\pi\) | ||||
0.960390 | + | 0.278658i | \(0.0898896\pi\) | |||||||
\(858\) | −5.66772 | − | 2.49134i | −0.193493 | − | 0.0850529i | ||||
\(859\) | 23.5111 | 0.802189 | 0.401095 | − | 0.916037i | \(-0.368630\pi\) | ||||
0.401095 | + | 0.916037i | \(0.368630\pi\) | |||||||
\(860\) | −2.41320 | + | 6.28660i | −0.0822894 | + | 0.214371i | ||||
\(861\) | −7.57193 | − | 8.40948i | −0.258051 | − | 0.286594i | ||||
\(862\) | −4.53222 | − | 4.08083i | −0.154368 | − | 0.138994i | ||||
\(863\) | −24.2493 | − | 3.84071i | −0.825455 | − | 0.130739i | −0.270606 | − | 0.962690i | \(-0.587224\pi\) |
−0.554849 | + | 0.831951i | \(0.687224\pi\) | |||||||
\(864\) | −4.79836 | + | 1.84192i | −0.163244 | + | 0.0626633i | ||||
\(865\) | 25.2782 | − | 1.32478i | 0.859485 | − | 0.0450437i | ||||
\(866\) | 15.4872 | − | 7.89114i | 0.526278 | − | 0.268152i | ||||
\(867\) | 1.86822 | − | 17.7749i | 0.0634480 | − | 0.603668i | ||||
\(868\) | −8.47674 | + | 14.6822i | −0.287719 | + | 0.498345i | ||||
\(869\) | −7.40753 | + | 8.77570i | −0.251283 | + | 0.297695i | ||||
\(870\) | − | 19.4285i | − | 0.658686i | ||||||
\(871\) | 39.7068 | + | 18.9912i | 1.34541 | + | 0.643491i | ||||
\(872\) | −5.86551 | + | 18.0522i | −0.198631 | + | 0.611324i | ||||
\(873\) | 5.03328 | + | 7.75057i | 0.170351 | + | 0.262317i | ||||
\(874\) | 0.477425 | + | 4.54240i | 0.0161491 | + | 0.153649i | ||||
\(875\) | 26.8140 | + | 11.9384i | 0.906478 | + | 0.403590i | ||||
\(876\) | −11.2750 | − | 5.74492i | −0.380948 | − | 0.194103i | ||||
\(877\) | 5.74787 | − | 8.85095i | 0.194092 | − | 0.298875i | −0.728204 | − | 0.685361i | \(-0.759644\pi\) |
0.922295 | + | 0.386486i | \(0.126311\pi\) | |||||||
\(878\) | −10.6655 | − | 13.1708i | −0.359944 | − | 0.444494i | ||||
\(879\) | −12.9813 | − | 12.9813i | −0.437848 | − | 0.437848i | ||||
\(880\) | −4.04911 | + | 32.1986i | −0.136495 | + | 1.08542i | ||||
\(881\) | −17.1392 | − | 9.89533i | −0.577435 | − | 0.333382i | 0.182678 | − | 0.983173i | \(-0.441523\pi\) |
−0.760113 | + | 0.649791i | \(0.774857\pi\) | |||||||
\(882\) | 2.59173 | + | 0.994872i | 0.0872681 | + | 0.0334991i | ||||
\(883\) | 4.19703 | + | 1.36370i | 0.141241 | + | 0.0458921i | 0.378785 | − | 0.925485i | \(-0.376342\pi\) |
−0.237543 | + | 0.971377i | \(0.576342\pi\) | |||||||
\(884\) | −10.5113 | + | 35.3470i | −0.353533 | + | 1.18885i | ||||
\(885\) | −36.5800 | + | 26.5769i | −1.22962 | + | 0.893373i | ||||
\(886\) | 8.07790 | + | 6.54136i | 0.271382 | + | 0.219761i | ||||
\(887\) | −0.997034 | + | 4.69068i | −0.0334771 | + | 0.157498i | −0.991711 | − | 0.128488i | \(-0.958988\pi\) |
0.958234 | + | 0.285986i | \(0.0923209\pi\) | |||||||
\(888\) | −7.47618 | + | 1.58911i | −0.250884 | + | 0.0533271i | ||||
\(889\) | 0.843321 | + | 5.32452i | 0.0282841 | + | 0.178579i | ||||
\(890\) | 34.3970 | + | 9.21666i | 1.15299 | + | 0.308943i | ||||
\(891\) | −3.18546 | − | 0.923505i | −0.106717 | − | 0.0309386i | ||||
\(892\) | 21.0585 | − | 21.0585i | 0.705092 | − | 0.705092i | ||||
\(893\) | −12.2906 | − | 1.29179i | −0.411288 | − | 0.0432281i | ||||
\(894\) | −4.25706 | + | 3.83307i | −0.142377 | + | 0.128197i | ||||
\(895\) | −32.6198 | + | 21.1836i | −1.09036 | + | 0.708089i | ||||
\(896\) | −8.61527 | − | 11.8579i | −0.287816 | − | 0.396145i | ||||
\(897\) | 7.08409 | − | 13.0141i | 0.236531 | − | 0.434530i | ||||
\(898\) | −13.5970 | + | 4.41794i | −0.453738 | + | 0.147428i | ||||
\(899\) | 72.1683 | + | 3.78218i | 2.40695 | + | 0.126143i | ||||
\(900\) | −17.0477 | + | 7.59010i | −0.568255 | + | 0.253003i | ||||
\(901\) | −0.320812 | − | 0.555663i | −0.0106878 | − | 0.0185118i | ||||
\(902\) | −7.16708 | + | 13.3848i | −0.238638 | + | 0.445663i | ||||
\(903\) | 0.324253 | − | 1.21013i | 0.0107905 | − | 0.0402706i | ||||
\(904\) | −11.5445 | + | 9.34856i | −0.383965 | + | 0.310928i | ||||
\(905\) | −26.2817 | − | 51.5807i | −0.873632 | − | 1.71460i | ||||
\(906\) | −3.32802 | + | 3.69614i | −0.110566 | + | 0.122796i | ||||
\(907\) | 20.1753 | − | 2.12051i | 0.669911 | − | 0.0704105i | 0.236534 | − | 0.971623i | \(-0.423988\pi\) |
0.433377 | + | 0.901213i | \(0.357322\pi\) | |||||||
\(908\) | 31.6327 | − | 39.0631i | 1.04977 | − | 1.29635i | ||||
\(909\) | −3.24045 | − | 9.97307i | −0.107479 | − | 0.330786i | ||||
\(910\) | 8.76994 | − | 3.62167i | 0.290721 | − | 0.120057i | ||||
\(911\) | −40.7377 | − | 29.5976i | −1.34970 | − | 0.980614i | −0.999026 | − | 0.0441155i | \(-0.985953\pi\) |
−0.350672 | − | 0.936498i | \(-0.614047\pi\) | |||||||
\(912\) | 1.36880 | + | 5.10843i | 0.0453254 | + | 0.169157i | ||||
\(913\) | −4.21690 | + | 18.0248i | −0.139559 | + | 0.596533i | ||||
\(914\) | −0.0773784 | + | 0.0446744i | −0.00255945 | + | 0.00147770i | ||||
\(915\) | 7.93967 | − | 1.25752i | 0.262477 | − | 0.0415723i | ||||
\(916\) | 1.94279 | + | 1.26166i | 0.0641915 | + | 0.0416865i | ||||
\(917\) | 0.795643 | + | 15.1818i | 0.0262744 | + | 0.501346i | ||||
\(918\) | 0.478274 | − | 3.01970i | 0.0157854 | − | 0.0996650i | ||||
\(919\) | 17.9830 | − | 40.3904i | 0.593203 | − | 1.33236i | −0.328517 | − | 0.944498i | \(-0.606549\pi\) |
0.921719 | − | 0.387857i | \(-0.126785\pi\) | |||||||
\(920\) | 30.8473 | + | 6.55679i | 1.01700 | + | 0.216171i | ||||
\(921\) | 0.501448 | − | 9.56821i | 0.0165233 | − | 0.315283i | ||||
\(922\) | −3.86196 | + | 5.31553i | −0.127187 | + | 0.175058i | ||||
\(923\) | −6.69691 | + | 18.8476i | −0.220431 | + | 0.620375i | ||||
\(924\) | 0.149795 | − | 7.34994i | 0.00492789 | − | 0.241795i | ||||
\(925\) | −41.1698 | + | 11.0314i | −1.35365 | + | 0.362710i | ||||
\(926\) | −1.86894 | − | 4.19770i | −0.0614171 | − | 0.137945i | ||||
\(927\) | −0.0165502 | − | 0.0778625i | −0.000543579 | − | 0.00255734i | ||||
\(928\) | −22.0469 | + | 43.2695i | −0.723726 | + | 1.42039i | ||||
\(929\) | −10.9764 | − | 28.5945i | −0.360124 | − | 0.938156i | −0.987241 | − | 0.159231i | \(-0.949099\pi\) |
0.627117 | − | 0.778925i | \(-0.284235\pi\) | |||||||
\(930\) | 5.63624 | + | 14.6829i | 0.184819 | + | 0.481471i | ||||
\(931\) | 5.22585 | − | 10.2563i | 0.171270 | − | 0.336137i | ||||
\(932\) | −2.90964 | − | 13.6888i | −0.0953083 | − | 0.448390i | ||||
\(933\) | −7.09997 | − | 15.9468i | −0.232443 | − | 0.522075i | ||||
\(934\) | −9.82378 | + | 2.63227i | −0.321444 | + | 0.0861307i | ||||
\(935\) | −61.9878 | − | 46.9960i | −2.02722 | − | 1.53693i | ||||
\(936\) | −2.33244 | + | 6.56434i | −0.0762382 | + | 0.214562i | ||||
\(937\) | 4.78394 | − | 6.58452i | 0.156284 | − | 0.215107i | −0.723694 | − | 0.690121i | \(-0.757557\pi\) |
0.879978 | + | 0.475014i | \(0.157557\pi\) | |||||||
\(938\) | 0.423317 | − | 8.07738i | 0.0138218 | − | 0.263736i | ||||
\(939\) | −12.3129 | − | 2.61718i | −0.401815 | − | 0.0854084i | ||||
\(940\) | −16.1070 | + | 36.1768i | −0.525351 | + | 1.17996i | ||||
\(941\) | 0.671787 | − | 4.24149i | 0.0218996 | − | 0.138269i | −0.974316 | − | 0.225185i | \(-0.927701\pi\) |
0.996216 | + | 0.0869164i | \(0.0277013\pi\) | |||||||
\(942\) | −0.473009 | − | 9.02554i | −0.0154115 | − | 0.294068i | ||||
\(943\) | −30.4751 | − | 19.7907i | −0.992405 | − | 0.644475i | ||||
\(944\) | 27.7012 | − | 4.38744i | 0.901597 | − | 0.142799i | ||||
\(945\) | 4.40198 | − | 2.54148i | 0.143196 | − | 0.0826745i | ||||
\(946\) | −1.67494 | + | 0.141604i | −0.0544569 | + | 0.00460394i | ||||
\(947\) | 2.78029 | + | 10.3762i | 0.0903473 | + | 0.337181i | 0.996273 | − | 0.0862559i | \(-0.0274903\pi\) |
−0.905926 | + | 0.423437i | \(0.860824\pi\) | |||||||
\(948\) | 4.85172 | + | 3.52498i | 0.157576 | + | 0.114486i | ||||
\(949\) | −24.3488 | + | 10.0552i | −0.790397 | + | 0.326406i | ||||
\(950\) | −3.70043 | − | 11.3888i | −0.120058 | − | 0.369500i | ||||
\(951\) | 1.03247 | − | 1.27499i | 0.0334800 | − | 0.0413444i | ||||
\(952\) | 14.5223 | − | 1.52635i | 0.470670 | − | 0.0494694i | ||||
\(953\) | 0.681150 | − | 0.756493i | 0.0220646 | − | 0.0245052i | −0.732012 | − | 0.681292i | \(-0.761418\pi\) |
0.754076 | + | 0.656787i | \(0.228085\pi\) | |||||||
\(954\) | −0.0255379 | − | 0.0501209i | −0.000826819 | − | 0.00162272i | ||||
\(955\) | 46.5582 | − | 37.7021i | 1.50659 | − | 1.22001i | ||||
\(956\) | −0.354148 | + | 1.32170i | −0.0114540 | + | 0.0427467i | ||||
\(957\) | −28.2055 | + | 13.6548i | −0.911754 | + | 0.441396i | ||||
\(958\) | −5.77178 | − | 9.99702i | −0.186478 | − | 0.322989i | ||||
\(959\) | −11.7498 | + | 5.23135i | −0.379421 | + | 0.168929i | ||||
\(960\) | 8.98844 | + | 0.471064i | 0.290101 | + | 0.0152035i | ||||
\(961\) | −26.1550 | + | 8.49829i | −0.843711 | + | 0.274138i | ||||
\(962\) | −3.53041 | + | 6.48570i | −0.113825 | + | 0.209107i | ||||
\(963\) | −4.73814 | − | 6.52148i | −0.152684 | − | 0.210152i | ||||
\(964\) | 5.41503 | − | 3.51656i | 0.174406 | − | 0.113261i | ||||
\(965\) | −48.8281 | + | 43.9650i | −1.57183 | + | 1.41528i | ||||
\(966\) | −2.70802 | − | 0.284624i | −0.0871291 | − | 0.00915764i | ||||
\(967\) | 35.0608 | − | 35.0608i | 1.12748 | − | 1.12748i | 0.136895 | − | 0.990586i | \(-0.456288\pi\) |
0.990586 | − | 0.136895i | \(-0.0437122\pi\) | |||||||
\(968\) | −20.1357 | + | 6.80181i | −0.647186 | + | 0.218618i | ||||
\(969\) | −12.2450 | − | 3.28105i | −0.393367 | − | 0.105402i | ||||
\(970\) | 2.97271 | + | 18.7690i | 0.0954480 | + | 0.602635i | ||||
\(971\) | −40.3062 | + | 8.56736i | −1.29349 | + | 0.274940i | −0.802723 | − | 0.596352i | \(-0.796616\pi\) |
−0.490766 | + | 0.871292i | \(0.663283\pi\) | |||||||
\(972\) | −0.360095 | + | 1.69411i | −0.0115500 | + | 0.0543387i | ||||
\(973\) | 1.96485 | + | 1.59111i | 0.0629903 | + | 0.0510085i | ||||
\(974\) | −6.96603 | + | 5.06112i | −0.223206 | + | 0.162169i | ||||
\(975\) | −11.0732 | + | 37.2364i | −0.354625 | + | 1.19252i | ||||
\(976\) | −4.74222 | − | 1.54084i | −0.151795 | − | 0.0493211i | ||||
\(977\) | −13.9338 | − | 5.34868i | −0.445782 | − | 0.171120i | 0.125114 | − | 0.992142i | \(-0.460070\pi\) |
−0.570895 | + | 0.821023i | \(0.693404\pi\) | |||||||
\(978\) | 8.17357 | + | 4.71901i | 0.261362 | + | 0.150897i | ||||
\(979\) | −10.7947 | − | 56.4140i | −0.344999 | − | 1.80300i | ||||
\(980\) | −26.0818 | − | 26.0818i | −0.833153 | − | 0.833153i | ||||
\(981\) | 6.18241 | + | 7.63465i | 0.197389 | + | 0.243755i | ||||
\(982\) | 8.13962 | − | 12.5339i | 0.259746 | − | 0.399974i | ||||
\(983\) | −26.0504 | − | 13.2733i | −0.830877 | − | 0.423353i | −0.0138165 | − | 0.999905i | \(-0.504398\pi\) |
−0.817061 | + | 0.576551i | \(0.804398\pi\) | |||||||
\(984\) | 15.6072 | + | 6.94875i | 0.497538 | + | 0.221518i | ||||
\(985\) | −2.51233 | − | 23.9033i | −0.0800496 | − | 0.761621i | ||||
\(986\) | −15.7331 | − | 24.2268i | −0.501042 | − | 0.771538i | ||||
\(987\) | 2.27671 | − | 7.00698i | 0.0724683 | − | 0.223035i | ||||
\(988\) | 12.0934 | + | 5.78411i | 0.384743 | + | 0.184017i | ||||
\(989\) | − | 4.02296i | − | 0.127923i | ||||||
\(990\) | −5.21146 | − | 4.39897i | −0.165631 | − | 0.139808i | ||||
\(991\) | −11.7774 | + | 20.3990i | −0.374121 | + | 0.647997i | −0.990195 | − | 0.139691i | \(-0.955389\pi\) |
0.616074 | + | 0.787688i | \(0.288722\pi\) | |||||||
\(992\) | 4.10920 | − | 39.0965i | 0.130467 | − | 1.24131i | ||||
\(993\) | −10.0916 | + | 5.14192i | −0.320247 | + | 0.163174i | ||||
\(994\) | 3.67067 | − | 0.192372i | 0.116427 | − | 0.00610167i | ||||
\(995\) | −20.2428 | + | 7.77049i | −0.641740 | + | 0.246341i | ||||
\(996\) | 9.54777 | + | 1.51222i | 0.302533 | + | 0.0479165i | ||||
\(997\) | −17.4432 | − | 15.7059i | −0.552432 | − | 0.497412i | 0.344977 | − | 0.938611i | \(-0.387887\pi\) |
−0.897409 | + | 0.441199i | \(0.854553\pi\) | |||||||
\(998\) | 9.55768 | + | 10.6149i | 0.302543 | + | 0.336008i | ||||
\(999\) | −1.41764 | + | 3.69309i | −0.0448523 | + | 0.116844i |
(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 | 429.2.bs.a.7.6 | ✓ | 224 | |
11.8 | odd | 10 | inner | 429.2.bs.a.85.6 | yes | 224 | |
13.2 | odd | 12 | inner | 429.2.bs.a.106.6 | yes | 224 | |
143.41 | even | 60 | inner | 429.2.bs.a.184.6 | yes | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
429.2.bs.a.7.6 | ✓ | 224 | 1.1 | even | 1 | trivial | |
429.2.bs.a.85.6 | yes | 224 | 11.8 | odd | 10 | inner | |
429.2.bs.a.106.6 | yes | 224 | 13.2 | odd | 12 | inner | |
429.2.bs.a.184.6 | yes | 224 | 143.41 | even | 60 | inner |