Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [456,2,Mod(61,456)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(456, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 9, 0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("456.61");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 456 = 2^{3} \cdot 3 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 456.bk (of order \(18\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.64117833217\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(40\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 253.17 | ||
Character | \(\chi\) | \(=\) | 456.253 |
Dual form | 456.2.bk.a.301.17 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/456\mathbb{Z}\right)^\times\).
\(n\) | \(97\) | \(229\) | \(305\) | \(343\) |
\(\chi(n)\) | \(e\left(\frac{7}{9}\right)\) | \(-1\) | \(1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.378045 | + | 1.36275i | −0.267318 | + | 0.963608i | ||||
\(3\) | 0.342020 | − | 0.939693i | 0.197465 | − | 0.542532i | ||||
\(4\) | −1.71416 | − | 1.03036i | −0.857082 | − | 0.515180i | ||||
\(5\) | −2.71912 | + | 0.479454i | −1.21603 | + | 0.214418i | −0.744615 | − | 0.667495i | \(-0.767367\pi\) |
−0.471412 | + | 0.881913i | \(0.656256\pi\) | |||||||
\(6\) | 1.15127 | + | 0.821333i | 0.470002 | + | 0.335308i | ||||
\(7\) | −1.39493 | + | 2.41609i | −0.527234 | + | 0.913196i | 0.472262 | + | 0.881458i | \(0.343438\pi\) |
−0.999496 | + | 0.0317382i | \(0.989896\pi\) | |||||||
\(8\) | 2.05215 | − | 1.94645i | 0.725545 | − | 0.688175i | ||||
\(9\) | −0.766044 | − | 0.642788i | −0.255348 | − | 0.214263i | ||||
\(10\) | 0.374574 | − | 3.88673i | 0.118451 | − | 1.22909i | ||||
\(11\) | 5.27263 | − | 3.04415i | 1.58976 | − | 0.917847i | 0.596411 | − | 0.802679i | \(-0.296593\pi\) |
0.993346 | − | 0.115167i | \(-0.0367404\pi\) | |||||||
\(12\) | −1.55450 | + | 1.25838i | −0.448746 | + | 0.363264i | ||||
\(13\) | −0.786737 | − | 2.16154i | −0.218202 | − | 0.599504i | 0.781501 | − | 0.623905i | \(-0.214455\pi\) |
−0.999702 | + | 0.0244003i | \(0.992232\pi\) | |||||||
\(14\) | −2.76518 | − | 2.81433i | −0.739024 | − | 0.752161i | ||||
\(15\) | −0.479454 | + | 2.71912i | −0.123794 | + | 0.702073i | ||||
\(16\) | 1.87672 | + | 3.53241i | 0.469179 | + | 0.883103i | ||||
\(17\) | 2.16237 | − | 1.81444i | 0.524452 | − | 0.440067i | −0.341729 | − | 0.939799i | \(-0.611012\pi\) |
0.866180 | + | 0.499731i | \(0.166568\pi\) | |||||||
\(18\) | 1.16556 | − | 0.800923i | 0.274724 | − | 0.188779i | ||||
\(19\) | −0.359711 | − | 4.34403i | −0.0825234 | − | 0.996589i | ||||
\(20\) | 5.15503 | + | 1.97981i | 1.15270 | + | 0.442698i | ||||
\(21\) | 1.79329 | + | 2.13716i | 0.391328 | + | 0.466366i | ||||
\(22\) | 2.15512 | + | 8.33609i | 0.459474 | + | 1.77726i | ||||
\(23\) | 1.07942 | − | 6.12172i | 0.225075 | − | 1.27647i | −0.637465 | − | 0.770479i | \(-0.720017\pi\) |
0.862541 | − | 0.505987i | \(-0.168872\pi\) | |||||||
\(24\) | −1.12719 | − | 2.59412i | −0.230087 | − | 0.529522i | ||||
\(25\) | 2.46527 | − | 0.897283i | 0.493053 | − | 0.179457i | ||||
\(26\) | 3.24306 | − | 0.254965i | 0.636017 | − | 0.0500027i | ||||
\(27\) | −0.866025 | + | 0.500000i | −0.166667 | + | 0.0962250i | ||||
\(28\) | 4.88058 | − | 2.70430i | 0.922343 | − | 0.511064i | ||||
\(29\) | 4.49931 | − | 5.36207i | 0.835500 | − | 0.995711i | −0.164456 | − | 0.986384i | \(-0.552587\pi\) |
0.999957 | − | 0.00932617i | \(-0.00296866\pi\) | |||||||
\(30\) | −3.52422 | − | 1.68132i | −0.643431 | − | 0.306966i | ||||
\(31\) | −2.36156 | + | 4.09034i | −0.424149 | + | 0.734647i | −0.996341 | − | 0.0854726i | \(-0.972760\pi\) |
0.572192 | + | 0.820120i | \(0.306093\pi\) | |||||||
\(32\) | −5.52327 | + | 1.22208i | −0.976385 | + | 0.216036i | ||||
\(33\) | −1.05722 | − | 5.99581i | −0.184039 | − | 1.04374i | ||||
\(34\) | 1.65516 | + | 3.63271i | 0.283857 | + | 0.623004i | ||||
\(35\) | 2.63458 | − | 7.23844i | 0.445325 | − | 1.22352i | ||||
\(36\) | 0.650824 | + | 1.89114i | 0.108471 | + | 0.315191i | ||||
\(37\) | − | 8.19803i | − | 1.34775i | −0.738846 | − | 0.673874i | \(-0.764629\pi\) | ||
0.738846 | − | 0.673874i | \(-0.235371\pi\) | |||||||
\(38\) | 6.05581 | + | 1.15204i | 0.982382 | + | 0.186886i | ||||
\(39\) | −2.30027 | −0.368337 | ||||||||
\(40\) | −4.64681 | + | 6.27654i | −0.734725 | + | 0.992409i | ||||
\(41\) | 0.915065 | + | 0.333056i | 0.142909 | + | 0.0520147i | 0.412484 | − | 0.910965i | \(-0.364661\pi\) |
−0.269575 | + | 0.962979i | \(0.586883\pi\) | |||||||
\(42\) | −3.59035 | + | 1.63586i | −0.554003 | + | 0.252418i | ||||
\(43\) | −9.76716 | + | 1.72221i | −1.48948 | + | 0.262635i | −0.858359 | − | 0.513050i | \(-0.828515\pi\) |
−0.631120 | + | 0.775685i | \(0.717404\pi\) | |||||||
\(44\) | −12.1747 | − | 0.214525i | −1.83541 | − | 0.0323408i | ||||
\(45\) | 2.39115 | + | 1.38053i | 0.356452 | + | 0.205798i | ||||
\(46\) | 7.93429 | + | 3.78527i | 1.16985 | + | 0.558107i | ||||
\(47\) | −1.90860 | − | 1.60150i | −0.278398 | − | 0.233603i | 0.492888 | − | 0.870093i | \(-0.335941\pi\) |
−0.771285 | + | 0.636490i | \(0.780386\pi\) | |||||||
\(48\) | 3.96126 | − | 0.555382i | 0.571758 | − | 0.0801625i | ||||
\(49\) | −0.391662 | − | 0.678379i | −0.0559518 | − | 0.0969113i | ||||
\(50\) | 0.290790 | + | 3.69875i | 0.0411239 | + | 0.523082i | ||||
\(51\) | −0.965445 | − | 2.65254i | −0.135189 | − | 0.371430i | ||||
\(52\) | −0.878570 | + | 4.51586i | −0.121836 | + | 0.626238i | ||||
\(53\) | 2.92483 | + | 0.515727i | 0.401756 | + | 0.0708405i | 0.370876 | − | 0.928683i | \(-0.379058\pi\) |
0.0308809 | + | 0.999523i | \(0.490169\pi\) | |||||||
\(54\) | −0.353978 | − | 1.36920i | −0.0481702 | − | 0.186324i | ||||
\(55\) | −12.8774 | + | 10.8054i | −1.73638 | + | 1.45700i | ||||
\(56\) | 1.84019 | + | 7.67335i | 0.245906 | + | 1.02539i | ||||
\(57\) | −4.20508 | − | 1.14773i | −0.556977 | − | 0.152020i | ||||
\(58\) | 5.60620 | + | 8.15852i | 0.736131 | + | 1.07127i | ||||
\(59\) | 4.93781 | + | 5.88465i | 0.642848 | + | 0.766116i | 0.984817 | − | 0.173595i | \(-0.0555384\pi\) |
−0.341969 | + | 0.939711i | \(0.611094\pi\) | |||||||
\(60\) | 3.62353 | − | 4.16701i | 0.467796 | − | 0.537958i | ||||
\(61\) | 5.77620 | + | 1.01850i | 0.739567 | + | 0.130406i | 0.530725 | − | 0.847544i | \(-0.321920\pi\) |
0.208842 | + | 0.977949i | \(0.433031\pi\) | |||||||
\(62\) | −4.68133 | − | 4.76455i | −0.594530 | − | 0.605098i | ||||
\(63\) | 2.62161 | − | 0.954189i | 0.330292 | − | 0.120216i | ||||
\(64\) | 0.422652 | − | 7.98883i | 0.0528315 | − | 0.998603i | ||||
\(65\) | 3.17559 | + | 5.50029i | 0.393884 | + | 0.682227i | ||||
\(66\) | 8.57046 | + | 0.825956i | 1.05495 | + | 0.101668i | ||||
\(67\) | −1.91047 | + | 2.27681i | −0.233401 | + | 0.278156i | −0.870014 | − | 0.493027i | \(-0.835890\pi\) |
0.636613 | + | 0.771183i | \(0.280335\pi\) | |||||||
\(68\) | −5.57619 | + | 0.882236i | −0.676212 | + | 0.106987i | ||||
\(69\) | −5.38335 | − | 3.10808i | −0.648079 | − | 0.374169i | ||||
\(70\) | 8.86818 | + | 6.32672i | 1.05995 | + | 0.756188i | ||||
\(71\) | 0.854943 | + | 4.84862i | 0.101463 | + | 0.575425i | 0.992574 | + | 0.121640i | \(0.0388155\pi\) |
−0.891111 | + | 0.453785i | \(0.850073\pi\) | |||||||
\(72\) | −2.82319 | + | 0.171971i | −0.332717 | + | 0.0202670i | ||||
\(73\) | 6.15912 | + | 2.24174i | 0.720871 | + | 0.262376i | 0.676296 | − | 0.736630i | \(-0.263584\pi\) |
0.0445755 | + | 0.999006i | \(0.485806\pi\) | |||||||
\(74\) | 11.1719 | + | 3.09922i | 1.29870 | + | 0.360277i | ||||
\(75\) | − | 2.62348i | − | 0.302933i | ||||||
\(76\) | −3.85931 | + | 7.81701i | −0.442693 | + | 0.896673i | ||||
\(77\) | 16.9855i | 1.93568i | ||||||||
\(78\) | 0.869604 | − | 3.13468i | 0.0984632 | − | 0.354933i | ||||
\(79\) | 1.75413 | + | 0.638451i | 0.197355 | + | 0.0718313i | 0.438807 | − | 0.898582i | \(-0.355401\pi\) |
−0.241452 | + | 0.970413i | \(0.577624\pi\) | |||||||
\(80\) | −6.79665 | − | 8.70524i | −0.759888 | − | 0.973276i | ||||
\(81\) | 0.173648 | + | 0.984808i | 0.0192942 | + | 0.109423i | ||||
\(82\) | −0.799808 | + | 1.12109i | −0.0883240 | + | 0.123804i | ||||
\(83\) | −12.2921 | − | 7.09683i | −1.34923 | − | 0.778979i | −0.361090 | − | 0.932531i | \(-0.617595\pi\) |
−0.988141 | + | 0.153552i | \(0.950929\pi\) | |||||||
\(84\) | −0.871949 | − | 5.51117i | −0.0951375 | − | 0.601318i | ||||
\(85\) | −5.00980 | + | 5.97044i | −0.543389 | + | 0.647585i | ||||
\(86\) | 1.34548 | − | 13.9613i | 0.145087 | − | 1.50548i | ||||
\(87\) | −3.49984 | − | 6.06190i | −0.375222 | − | 0.649904i | ||||
\(88\) | 4.89493 | − | 16.5100i | 0.521802 | − | 1.75997i | ||||
\(89\) | −2.58398 | + | 0.940492i | −0.273901 | + | 0.0996920i | −0.475319 | − | 0.879813i | \(-0.657667\pi\) |
0.201418 | + | 0.979505i | \(0.435445\pi\) | |||||||
\(90\) | −2.78528 | + | 2.73664i | −0.293594 | + | 0.288467i | ||||
\(91\) | 6.31993 | + | 1.11437i | 0.662509 | + | 0.116818i | ||||
\(92\) | −8.15788 | + | 9.38143i | −0.850518 | + | 0.978082i | ||||
\(93\) | 3.03596 | + | 3.61812i | 0.314815 | + | 0.375182i | ||||
\(94\) | 2.90398 | − | 1.99550i | 0.299523 | − | 0.205820i | ||||
\(95\) | 3.06086 | + | 11.6395i | 0.314038 | + | 1.19418i | ||||
\(96\) | −0.740687 | + | 5.60815i | −0.0755960 | + | 0.572380i | ||||
\(97\) | −1.53526 | + | 1.28824i | −0.155882 | + | 0.130801i | −0.717393 | − | 0.696669i | \(-0.754665\pi\) |
0.561511 | + | 0.827469i | \(0.310220\pi\) | |||||||
\(98\) | 1.07253 | − | 0.277279i | 0.108341 | − | 0.0280094i | ||||
\(99\) | −5.99581 | − | 1.05722i | −0.602602 | − | 0.106255i | ||||
\(100\) | −5.15039 | − | 1.00202i | −0.515039 | − | 0.100202i | ||||
\(101\) | −2.60411 | − | 7.15473i | −0.259118 | − | 0.711922i | −0.999222 | − | 0.0394294i | \(-0.987446\pi\) |
0.740104 | − | 0.672492i | \(-0.234776\pi\) | |||||||
\(102\) | 3.97972 | − | 0.312880i | 0.394051 | − | 0.0309797i | ||||
\(103\) | −8.17891 | − | 14.1663i | −0.805892 | − | 1.39585i | −0.915687 | − | 0.401892i | \(-0.868353\pi\) |
0.109795 | − | 0.993954i | \(-0.464981\pi\) | |||||||
\(104\) | −5.82184 | − | 2.90447i | −0.570879 | − | 0.284807i | ||||
\(105\) | −5.90083 | − | 4.95139i | −0.575862 | − | 0.483206i | ||||
\(106\) | −1.80852 | + | 3.79084i | −0.175659 | + | 0.368199i | ||||
\(107\) | −9.52393 | − | 5.49864i | −0.920713 | − | 0.531574i | −0.0368506 | − | 0.999321i | \(-0.511733\pi\) |
−0.883862 | + | 0.467747i | \(0.845066\pi\) | |||||||
\(108\) | 1.99969 | + | 0.0352356i | 0.192420 | + | 0.00339054i | ||||
\(109\) | 2.68674 | − | 0.473744i | 0.257343 | − | 0.0453765i | −0.0434882 | − | 0.999054i | \(-0.513847\pi\) |
0.300831 | + | 0.953677i | \(0.402736\pi\) | |||||||
\(110\) | −9.85681 | − | 21.6335i | −0.939810 | − | 2.06268i | ||||
\(111\) | −7.70363 | − | 2.80389i | −0.731196 | − | 0.266134i | ||||
\(112\) | −11.1525 | − | 0.393148i | −1.05381 | − | 0.0371490i | ||||
\(113\) | 10.8870 | 1.02417 | 0.512083 | − | 0.858936i | \(-0.328874\pi\) | ||||
0.512083 | + | 0.858936i | \(0.328874\pi\) | |||||||
\(114\) | 3.15377 | − | 5.29658i | 0.295378 | − | 0.496070i | ||||
\(115\) | 17.1632i | 1.60048i | ||||||||
\(116\) | −13.2374 | + | 4.55556i | −1.22906 | + | 0.422973i | ||||
\(117\) | −0.786737 | + | 2.16154i | −0.0727339 | + | 0.199835i | ||||
\(118\) | −9.88601 | + | 4.50432i | −0.910081 | + | 0.414657i | ||||
\(119\) | 1.36750 | + | 7.75550i | 0.125359 | + | 0.710946i | ||||
\(120\) | 4.30872 | + | 6.51328i | 0.393331 | + | 0.594578i | ||||
\(121\) | 13.0337 | − | 22.5751i | 1.18488 | − | 2.05228i | ||||
\(122\) | −3.57162 | + | 7.48647i | −0.323360 | + | 0.677793i | ||||
\(123\) | 0.625941 | − | 0.745968i | 0.0564392 | − | 0.0672617i | ||||
\(124\) | 8.26263 | − | 4.57826i | 0.742006 | − | 0.411140i | ||||
\(125\) | 5.68262 | − | 3.28086i | 0.508269 | − | 0.293449i | ||||
\(126\) | 0.309232 | + | 3.93332i | 0.0275486 | + | 0.350408i | ||||
\(127\) | 17.8973 | − | 6.51408i | 1.58813 | − | 0.578031i | 0.611176 | − | 0.791494i | \(-0.290697\pi\) |
0.976951 | + | 0.213463i | \(0.0684744\pi\) | |||||||
\(128\) | 10.7270 | + | 3.59610i | 0.948140 | + | 0.317854i | ||||
\(129\) | −1.72221 | + | 9.76716i | −0.151633 | + | 0.859951i | ||||
\(130\) | −8.69602 | + | 2.24818i | −0.762692 | + | 0.197178i | ||||
\(131\) | −10.1706 | − | 12.1208i | −0.888609 | − | 1.05900i | −0.997886 | − | 0.0649917i | \(-0.979298\pi\) |
0.109277 | − | 0.994011i | \(-0.465147\pi\) | |||||||
\(132\) | −4.36559 | + | 11.3671i | −0.379976 | + | 0.989381i | ||||
\(133\) | 10.9973 | + | 5.19053i | 0.953591 | + | 0.450076i | ||||
\(134\) | −2.38047 | − | 3.46422i | −0.205642 | − | 0.299263i | ||||
\(135\) | 2.11510 | − | 1.77478i | 0.182039 | − | 0.152749i | ||||
\(136\) | 0.905783 | − | 7.93246i | 0.0776703 | − | 0.680203i | ||||
\(137\) | 3.32209 | − | 18.8405i | 0.283825 | − | 1.60965i | −0.425625 | − | 0.904899i | \(-0.639946\pi\) |
0.709451 | − | 0.704755i | \(-0.248943\pi\) | |||||||
\(138\) | 6.27067 | − | 6.16115i | 0.533795 | − | 0.524472i | ||||
\(139\) | 6.23589 | + | 17.1330i | 0.528922 | + | 1.45320i | 0.860342 | + | 0.509717i | \(0.170250\pi\) |
−0.331420 | + | 0.943483i | \(0.607528\pi\) | |||||||
\(140\) | −11.9743 | + | 9.69331i | −1.01201 | + | 0.819235i | ||||
\(141\) | −2.15770 | + | 1.24575i | −0.181711 | + | 0.104911i | ||||
\(142\) | −6.93065 | − | 0.667925i | −0.581608 | − | 0.0560510i | ||||
\(143\) | −10.7282 | − | 9.00206i | −0.897141 | − | 0.752790i | ||||
\(144\) | 0.832941 | − | 3.91232i | 0.0694117 | − | 0.326026i | ||||
\(145\) | −9.66329 | + | 16.7373i | −0.802492 | + | 1.38996i | ||||
\(146\) | −5.38335 | + | 7.54586i | −0.445529 | + | 0.624500i | ||||
\(147\) | −0.771424 | + | 0.136023i | −0.0636260 | + | 0.0112190i | ||||
\(148\) | −8.44692 | + | 14.0528i | −0.694333 | + | 1.15513i | ||||
\(149\) | −3.41019 | + | 9.36942i | −0.279374 | + | 0.767573i | 0.718060 | + | 0.695981i | \(0.245030\pi\) |
−0.997434 | + | 0.0715918i | \(0.977192\pi\) | |||||||
\(150\) | 3.57514 | + | 0.991793i | 0.291909 | + | 0.0809796i | ||||
\(151\) | −18.8754 | −1.53606 | −0.768031 | − | 0.640413i | \(-0.778763\pi\) | ||||
−0.768031 | + | 0.640413i | \(0.778763\pi\) | |||||||
\(152\) | −9.19363 | − | 8.21445i | −0.745702 | − | 0.666280i | ||||
\(153\) | −2.82277 | −0.228208 | ||||||||
\(154\) | −23.1470 | − | 6.42129i | −1.86524 | − | 0.517442i | ||||
\(155\) | 4.46023 | − | 12.2544i | 0.358254 | − | 0.984296i | ||||
\(156\) | 3.94303 | + | 2.37010i | 0.315695 | + | 0.189760i | ||||
\(157\) | −16.8588 | + | 2.97265i | −1.34548 | + | 0.237244i | −0.799555 | − | 0.600593i | \(-0.794931\pi\) |
−0.545921 | + | 0.837837i | \(0.683820\pi\) | |||||||
\(158\) | −1.53319 | + | 2.14907i | −0.121974 | + | 0.170971i | ||||
\(159\) | 1.48498 | − | 2.57205i | 0.117766 | − | 0.203977i | ||||
\(160\) | 14.4325 | − | 5.97114i | 1.14099 | − | 0.472060i | ||||
\(161\) | 13.2849 | + | 11.1474i | 1.04700 | + | 0.878535i | ||||
\(162\) | −1.40769 | − | 0.135663i | −0.110599 | − | 0.0106587i | ||||
\(163\) | 6.20425 | − | 3.58203i | 0.485954 | − | 0.280566i | −0.236940 | − | 0.971524i | \(-0.576145\pi\) |
0.722895 | + | 0.690958i | \(0.242811\pi\) | |||||||
\(164\) | −1.22540 | − | 1.51376i | −0.0956880 | − | 0.118205i | ||||
\(165\) | 5.74943 | + | 15.7964i | 0.447592 | + | 1.22975i | ||||
\(166\) | 14.3182 | − | 14.0681i | 1.11130 | − | 1.09190i | ||||
\(167\) | −1.39309 | + | 7.90062i | −0.107801 | + | 0.611368i | 0.882264 | + | 0.470755i | \(0.156019\pi\) |
−0.990065 | + | 0.140613i | \(0.955093\pi\) | |||||||
\(168\) | 7.83997 | + | 0.895222i | 0.604867 | + | 0.0690679i | ||||
\(169\) | 5.90526 | − | 4.95510i | 0.454251 | − | 0.381162i | ||||
\(170\) | −6.24228 | − | 9.08418i | −0.478761 | − | 0.696725i | ||||
\(171\) | −2.51673 | + | 3.55894i | −0.192460 | + | 0.272159i | ||||
\(172\) | 18.5170 | + | 7.11153i | 1.41191 | + | 0.542249i | ||||
\(173\) | −2.79141 | − | 3.32668i | −0.212227 | − | 0.252922i | 0.649420 | − | 0.760430i | \(-0.275012\pi\) |
−0.861648 | + | 0.507507i | \(0.830567\pi\) | |||||||
\(174\) | 9.58394 | − | 2.47773i | 0.726557 | − | 0.187836i | ||||
\(175\) | −1.27096 | + | 7.20795i | −0.0960753 | + | 0.544870i | ||||
\(176\) | 20.6484 | + | 12.9121i | 1.55643 | + | 0.973284i | ||||
\(177\) | 7.21859 | − | 2.62735i | 0.542582 | − | 0.197484i | ||||
\(178\) | −0.304793 | − | 3.87686i | −0.0228452 | − | 0.290583i | ||||
\(179\) | −13.1976 | + | 7.61964i | −0.986435 | + | 0.569519i | −0.904207 | − | 0.427095i | \(-0.859537\pi\) |
−0.0822284 | + | 0.996614i | \(0.526204\pi\) | |||||||
\(180\) | −2.67638 | − | 4.83021i | −0.199486 | − | 0.360022i | ||||
\(181\) | −4.91122 | + | 5.85297i | −0.365048 | + | 0.435048i | −0.917036 | − | 0.398805i | \(-0.869425\pi\) |
0.551987 | + | 0.833852i | \(0.313870\pi\) | |||||||
\(182\) | −3.90783 | + | 8.19119i | −0.289667 | + | 0.607171i | ||||
\(183\) | 2.93266 | − | 5.07951i | 0.216788 | − | 0.375488i | ||||
\(184\) | −9.70049 | − | 14.6637i | −0.715129 | − | 1.08103i | ||||
\(185\) | 3.93058 | + | 22.2914i | 0.288982 | + | 1.63890i | ||||
\(186\) | −6.07832 | + | 2.76944i | −0.445684 | + | 0.203065i | ||||
\(187\) | 5.87793 | − | 16.1495i | 0.429836 | − | 1.18097i | ||||
\(188\) | 1.62153 | + | 4.71178i | 0.118262 | + | 0.343642i | ||||
\(189\) | − | 2.78986i | − | 0.202933i | ||||||
\(190\) | −17.0188 | − | 0.229061i | −1.23467 | − | 0.0166178i | ||||
\(191\) | 27.3299 | 1.97752 | 0.988761 | − | 0.149508i | \(-0.0477688\pi\) | ||||
0.988761 | + | 0.149508i | \(0.0477688\pi\) | |||||||
\(192\) | −7.36249 | − | 3.12950i | −0.531342 | − | 0.225852i | ||||
\(193\) | −3.54277 | − | 1.28946i | −0.255014 | − | 0.0928176i | 0.211350 | − | 0.977411i | \(-0.432214\pi\) |
−0.466364 | + | 0.884593i | \(0.654436\pi\) | |||||||
\(194\) | −1.17515 | − | 2.57919i | −0.0843705 | − | 0.185175i | ||||
\(195\) | 6.25470 | − | 1.10287i | 0.447908 | − | 0.0789783i | ||||
\(196\) | −0.0276009 | + | 1.56641i | −0.00197149 | + | 0.111886i | ||||
\(197\) | 17.6472 | + | 10.1886i | 1.25731 | + | 0.725907i | 0.972550 | − | 0.232693i | \(-0.0747537\pi\) |
0.284757 | + | 0.958600i | \(0.408087\pi\) | |||||||
\(198\) | 3.70741 | − | 7.77110i | 0.263474 | − | 0.552268i | ||||
\(199\) | 0.892196 | + | 0.748642i | 0.0632461 | + | 0.0530698i | 0.673863 | − | 0.738857i | \(-0.264634\pi\) |
−0.610617 | + | 0.791926i | \(0.709078\pi\) | |||||||
\(200\) | 3.31258 | − | 6.63988i | 0.234235 | − | 0.469510i | ||||
\(201\) | 1.48608 | + | 2.57397i | 0.104820 | + | 0.181554i | ||||
\(202\) | 10.7346 | − | 0.843935i | 0.755281 | − | 0.0593791i | ||||
\(203\) | 6.67901 | + | 18.3504i | 0.468775 | + | 1.28795i | ||||
\(204\) | −1.07814 | + | 5.54164i | −0.0754847 | + | 0.387993i | ||||
\(205\) | −2.64786 | − | 0.466888i | −0.184934 | − | 0.0326089i | ||||
\(206\) | 22.3971 | − | 5.79030i | 1.56048 | − | 0.403430i | ||||
\(207\) | −4.76185 | + | 3.99567i | −0.330972 | + | 0.277718i | ||||
\(208\) | 6.15898 | − | 6.83569i | 0.427048 | − | 0.473970i | ||||
\(209\) | −15.1205 | − | 21.8094i | −1.04591 | − | 1.50859i | ||||
\(210\) | 8.97827 | − | 6.16950i | 0.619559 | − | 0.425736i | ||||
\(211\) | −9.42729 | − | 11.2350i | −0.649002 | − | 0.773450i | 0.336762 | − | 0.941590i | \(-0.390668\pi\) |
−0.985763 | + | 0.168140i | \(0.946224\pi\) | |||||||
\(212\) | −4.48226 | − | 3.89767i | −0.307843 | − | 0.267693i | ||||
\(213\) | 4.84862 | + | 0.854943i | 0.332222 | + | 0.0585797i | ||||
\(214\) | 11.0937 | − | 10.9000i | 0.758352 | − | 0.745107i | ||||
\(215\) | 25.7323 | − | 9.36581i | 1.75493 | − | 0.638743i | ||||
\(216\) | −0.803989 | + | 2.71175i | −0.0547046 | + | 0.184511i | ||||
\(217\) | −6.58843 | − | 11.4115i | −0.447252 | − | 0.774662i | ||||
\(218\) | −0.370113 | + | 3.84044i | −0.0250672 | + | 0.260108i | ||||
\(219\) | 4.21309 | − | 5.02096i | 0.284694 | − | 0.339285i | ||||
\(220\) | 33.2074 | − | 5.25390i | 2.23884 | − | 0.354218i | ||||
\(221\) | −5.62322 | − | 3.24656i | −0.378258 | − | 0.218388i | ||||
\(222\) | 6.73332 | − | 9.43811i | 0.451911 | − | 0.633445i | ||||
\(223\) | 2.86843 | + | 16.2677i | 0.192084 | + | 1.08936i | 0.916510 | + | 0.400011i | \(0.130994\pi\) |
−0.724426 | + | 0.689353i | \(0.757895\pi\) | |||||||
\(224\) | 4.75191 | − | 15.0494i | 0.317501 | − | 1.00553i | ||||
\(225\) | −2.46527 | − | 0.897283i | −0.164351 | − | 0.0598189i | ||||
\(226\) | −4.11579 | + | 14.8363i | −0.273778 | + | 0.986895i | ||||
\(227\) | 14.8667i | 0.986740i | 0.869820 | + | 0.493370i | \(0.164235\pi\) | ||||
−0.869820 | + | 0.493370i | \(0.835765\pi\) | |||||||
\(228\) | 6.02563 | + | 6.30014i | 0.399057 | + | 0.417237i | ||||
\(229\) | − | 1.65268i | − | 0.109212i | −0.998508 | − | 0.0546060i | \(-0.982610\pi\) | ||
0.998508 | − | 0.0546060i | \(-0.0173903\pi\) | |||||||
\(230\) | −23.3891 | − | 6.48846i | −1.54223 | − | 0.427837i | ||||
\(231\) | 15.9612 | + | 5.80939i | 1.05017 | + | 0.382230i | ||||
\(232\) | −1.20374 | − | 19.7615i | −0.0790295 | − | 1.29740i | ||||
\(233\) | 1.80216 | + | 10.2206i | 0.118063 | + | 0.669571i | 0.985188 | + | 0.171479i | \(0.0548546\pi\) |
−0.867124 | + | 0.498092i | \(0.834034\pi\) | |||||||
\(234\) | −2.64822 | − | 1.88929i | −0.173119 | − | 0.123506i | ||||
\(235\) | 5.95755 | + | 3.43959i | 0.388628 | + | 0.224374i | ||||
\(236\) | −2.40091 | − | 15.1750i | −0.156286 | − | 0.987806i | ||||
\(237\) | 1.19989 | − | 1.42998i | 0.0779415 | − | 0.0928871i | ||||
\(238\) | −11.0858 | − | 1.06836i | −0.718584 | − | 0.0692517i | ||||
\(239\) | 7.86624 | + | 13.6247i | 0.508825 | + | 0.881310i | 0.999948 | + | 0.0102200i | \(0.00325317\pi\) |
−0.491123 | + | 0.871090i | \(0.663413\pi\) | |||||||
\(240\) | −10.5048 | + | 3.40939i | −0.678085 | + | 0.220075i | ||||
\(241\) | 18.3057 | − | 6.66274i | 1.17918 | − | 0.429185i | 0.323265 | − | 0.946309i | \(-0.395220\pi\) |
0.855911 | + | 0.517124i | \(0.172997\pi\) | |||||||
\(242\) | 25.8368 | + | 26.2961i | 1.66085 | + | 1.69038i | ||||
\(243\) | 0.984808 | + | 0.173648i | 0.0631754 | + | 0.0111395i | ||||
\(244\) | −8.85194 | − | 7.69744i | −0.566687 | − | 0.492778i | ||||
\(245\) | 1.39023 | + | 1.65681i | 0.0888184 | + | 0.105850i | ||||
\(246\) | 0.779932 | + | 1.13501i | 0.0497267 | + | 0.0723656i | ||||
\(247\) | −9.10681 | + | 4.19514i | −0.579453 | + | 0.266931i | ||||
\(248\) | 3.11537 | + | 12.9907i | 0.197827 | + | 0.824908i | ||||
\(249\) | −10.8730 | + | 9.12351i | −0.689047 | + | 0.578179i | ||||
\(250\) | 2.32270 | + | 8.98429i | 0.146901 | + | 0.568217i | ||||
\(251\) | 29.5760 | + | 5.21504i | 1.86682 | + | 0.329171i | 0.988775 | − | 0.149409i | \(-0.0477372\pi\) |
0.878044 | + | 0.478580i | \(0.158848\pi\) | |||||||
\(252\) | −5.47703 | − | 1.06557i | −0.345021 | − | 0.0671244i | ||||
\(253\) | −12.9440 | − | 35.5635i | −0.813785 | − | 2.23586i | ||||
\(254\) | 2.11107 | + | 26.8521i | 0.132460 | + | 1.68485i | ||||
\(255\) | 3.89693 | + | 6.74968i | 0.244035 | + | 0.422681i | ||||
\(256\) | −8.95586 | + | 13.2587i | −0.559741 | + | 0.828667i | ||||
\(257\) | −15.2311 | − | 12.7804i | −0.950089 | − | 0.797219i | 0.0292239 | − | 0.999573i | \(-0.490696\pi\) |
−0.979312 | + | 0.202354i | \(0.935141\pi\) | |||||||
\(258\) | −12.6591 | − | 6.03937i | −0.788122 | − | 0.375995i | ||||
\(259\) | 19.8072 | + | 11.4357i | 1.23076 | + | 0.710579i | ||||
\(260\) | 0.223788 | − | 12.7004i | 0.0138787 | − | 0.787645i | ||||
\(261\) | −6.89334 | + | 1.21548i | −0.426687 | + | 0.0752364i | ||||
\(262\) | 20.3626 | − | 9.27774i | 1.25801 | − | 0.573180i | ||||
\(263\) | −12.7334 | − | 4.63459i | −0.785177 | − | 0.285781i | −0.0818473 | − | 0.996645i | \(-0.526082\pi\) |
−0.703330 | + | 0.710864i | \(0.748304\pi\) | |||||||
\(264\) | −13.8401 | − | 10.2465i | −0.851802 | − | 0.630627i | ||||
\(265\) | −8.20023 | −0.503736 | ||||||||
\(266\) | −11.2309 | + | 13.0244i | −0.688609 | + | 0.798575i | ||||
\(267\) | 2.74981i | 0.168286i | ||||||||
\(268\) | 5.62079 | − | 1.93435i | 0.343344 | − | 0.118159i | ||||
\(269\) | −1.36842 | + | 3.75969i | −0.0834339 | + | 0.229233i | −0.974393 | − | 0.224850i | \(-0.927811\pi\) |
0.890960 | + | 0.454083i | \(0.150033\pi\) | |||||||
\(270\) | 1.61897 | + | 3.55329i | 0.0985276 | + | 0.216246i | ||||
\(271\) | 0.148533 | + | 0.842375i | 0.00902276 | + | 0.0511706i | 0.988987 | − | 0.148004i | \(-0.0472849\pi\) |
−0.979964 | + | 0.199175i | \(0.936174\pi\) | |||||||
\(272\) | 10.4675 | + | 4.23318i | 0.634686 | + | 0.256674i | ||||
\(273\) | 3.20871 | − | 5.55765i | 0.194200 | − | 0.336364i | ||||
\(274\) | 24.4190 | + | 11.6497i | 1.47520 | + | 0.703786i | ||||
\(275\) | 10.2670 | − | 12.2357i | 0.619121 | − | 0.737839i | ||||
\(276\) | 6.02550 | + | 10.8745i | 0.362693 | + | 0.654570i | ||||
\(277\) | −2.77849 | + | 1.60416i | −0.166943 | + | 0.0963849i | −0.581144 | − | 0.813801i | \(-0.697395\pi\) |
0.414200 | + | 0.910186i | \(0.364061\pi\) | |||||||
\(278\) | −25.7054 | + | 2.02092i | −1.54171 | + | 0.121207i | ||||
\(279\) | 4.43828 | − | 1.61540i | 0.265713 | − | 0.0967116i | ||||
\(280\) | −8.68272 | − | 19.9825i | −0.518892 | − | 1.19418i | ||||
\(281\) | −3.11653 | + | 17.6747i | −0.185916 | + | 1.05438i | 0.738856 | + | 0.673864i | \(0.235366\pi\) |
−0.924772 | + | 0.380521i | \(0.875745\pi\) | |||||||
\(282\) | −0.881934 | − | 3.41135i | −0.0525184 | − | 0.203143i | ||||
\(283\) | 8.33789 | + | 9.93671i | 0.495636 | + | 0.590676i | 0.954642 | − | 0.297757i | \(-0.0962386\pi\) |
−0.459006 | + | 0.888433i | \(0.651794\pi\) | |||||||
\(284\) | 3.53031 | − | 9.19223i | 0.209485 | − | 0.545459i | ||||
\(285\) | 11.9844 | + | 1.10467i | 0.709895 | + | 0.0654347i | ||||
\(286\) | 16.3233 | − | 11.2167i | 0.965217 | − | 0.663258i | ||||
\(287\) | −2.08115 | + | 1.74629i | −0.122846 | + | 0.103080i | ||||
\(288\) | 5.01661 | + | 2.61412i | 0.295607 | + | 0.154038i | ||||
\(289\) | −1.56838 | + | 8.89474i | −0.0922578 | + | 0.523220i | ||||
\(290\) | −19.1556 | − | 19.4961i | −1.12485 | − | 1.14485i | ||||
\(291\) | 0.685457 | + | 1.88328i | 0.0401822 | + | 0.110400i | ||||
\(292\) | −8.24795 | − | 10.1888i | −0.482675 | − | 0.596256i | ||||
\(293\) | 10.4417 | − | 6.02855i | 0.610014 | − | 0.352191i | −0.162957 | − | 0.986633i | \(-0.552103\pi\) |
0.772971 | + | 0.634442i | \(0.218770\pi\) | |||||||
\(294\) | 0.106268 | − | 1.10268i | 0.00619768 | − | 0.0643096i | ||||
\(295\) | −16.2479 | − | 13.6336i | −0.945989 | − | 0.793779i | ||||
\(296\) | −15.9571 | − | 16.8236i | −0.927486 | − | 0.977852i | ||||
\(297\) | −3.04415 | + | 5.27263i | −0.176640 | + | 0.305949i | ||||
\(298\) | −11.4790 | − | 8.18929i | −0.664958 | − | 0.474393i | ||||
\(299\) | −14.0816 | + | 2.48296i | −0.814359 | + | 0.143593i | ||||
\(300\) | −2.70313 | + | 4.49708i | −0.156065 | + | 0.259639i | ||||
\(301\) | 9.46349 | − | 26.0007i | 0.545466 | − | 1.49866i | ||||
\(302\) | 7.13576 | − | 25.7225i | 0.410617 | − | 1.48016i | ||||
\(303\) | −7.61390 | −0.437407 | ||||||||
\(304\) | 14.6698 | − | 9.42317i | 0.841372 | − | 0.540456i | ||||
\(305\) | −16.1945 | −0.927295 | ||||||||
\(306\) | 1.06713 | − | 3.84673i | 0.0610040 | − | 0.219903i | ||||
\(307\) | −10.4114 | + | 28.6052i | −0.594212 | + | 1.63258i | 0.168393 | + | 0.985720i | \(0.446142\pi\) |
−0.762605 | + | 0.646865i | \(0.776080\pi\) | |||||||
\(308\) | 17.5012 | − | 29.1160i | 0.997224 | − | 1.65904i | ||||
\(309\) | −16.1093 | + | 2.84051i | −0.916427 | + | 0.161591i | ||||
\(310\) | 15.0135 | + | 10.7109i | 0.852708 | + | 0.608337i | ||||
\(311\) | −7.60513 | + | 13.1725i | −0.431247 | + | 0.746942i | −0.996981 | − | 0.0776457i | \(-0.975260\pi\) |
0.565734 | + | 0.824588i | \(0.308593\pi\) | |||||||
\(312\) | −4.72050 | + | 4.47736i | −0.267245 | + | 0.253480i | ||||
\(313\) | 10.7624 | + | 9.03069i | 0.608325 | + | 0.510445i | 0.894109 | − | 0.447849i | \(-0.147810\pi\) |
−0.285785 | + | 0.958294i | \(0.592254\pi\) | |||||||
\(314\) | 2.32239 | − | 24.0980i | 0.131060 | − | 1.35993i | ||||
\(315\) | −6.67098 | + | 3.85149i | −0.375867 | + | 0.217007i | ||||
\(316\) | −2.34903 | − | 2.90179i | −0.132143 | − | 0.163239i | ||||
\(317\) | −2.72206 | − | 7.47879i | −0.152886 | − | 0.420051i | 0.839478 | − | 0.543393i | \(-0.182861\pi\) |
−0.992364 | + | 0.123343i | \(0.960639\pi\) | |||||||
\(318\) | 2.94367 | + | 2.99600i | 0.165073 | + | 0.168007i | ||||
\(319\) | 7.40022 | − | 41.9688i | 0.414333 | − | 2.34980i | ||||
\(320\) | 2.68103 | + | 21.9252i | 0.149874 | + | 1.22566i | ||||
\(321\) | −8.42441 | + | 7.06892i | −0.470205 | + | 0.394549i | ||||
\(322\) | −20.2133 | + | 13.8898i | −1.12644 | + | 0.774047i | ||||
\(323\) | −8.65983 | − | 8.74072i | −0.481846 | − | 0.486347i | ||||
\(324\) | 0.717045 | − | 1.86704i | 0.0398358 | − | 0.103725i | ||||
\(325\) | −3.87903 | − | 4.62285i | −0.215170 | − | 0.256430i | ||||
\(326\) | 2.53591 | + | 9.80900i | 0.140451 | + | 0.543270i | ||||
\(327\) | 0.473744 | − | 2.68674i | 0.0261981 | − | 0.148577i | ||||
\(328\) | 2.52613 | − | 1.09765i | 0.139482 | − | 0.0606075i | ||||
\(329\) | 6.53174 | − | 2.37736i | 0.360107 | − | 0.131068i | ||||
\(330\) | −23.7001 | + | 1.86327i | −1.30465 | + | 0.102569i | ||||
\(331\) | −20.3540 | + | 11.7514i | −1.11876 | + | 0.645916i | −0.941084 | − | 0.338173i | \(-0.890191\pi\) |
−0.177675 | + | 0.984089i | \(0.556858\pi\) | |||||||
\(332\) | 13.7583 | + | 24.8304i | 0.755087 | + | 1.36275i | ||||
\(333\) | −5.26959 | + | 6.28006i | −0.288772 | + | 0.344145i | ||||
\(334\) | −10.2399 | − | 4.88522i | −0.560303 | − | 0.267308i | ||||
\(335\) | 4.10317 | − | 7.10689i | 0.224180 | − | 0.388291i | ||||
\(336\) | −4.18382 | + | 10.3455i | −0.228246 | + | 0.564392i | ||||
\(337\) | 2.84559 | + | 16.1382i | 0.155009 | + | 0.879101i | 0.958777 | + | 0.284158i | \(0.0917142\pi\) |
−0.803768 | + | 0.594943i | \(0.797175\pi\) | |||||||
\(338\) | 4.52010 | + | 9.92064i | 0.245861 | + | 0.539612i | ||||
\(339\) | 3.72358 | − | 10.2305i | 0.202237 | − | 0.555642i | ||||
\(340\) | 14.7393 | − | 5.07243i | 0.799352 | − | 0.275091i | ||||
\(341\) | 28.7558i | 1.55721i | ||||||||
\(342\) | −3.89850 | − | 4.77511i | −0.210807 | − | 0.258209i | ||||
\(343\) | −17.3437 | −0.936470 | ||||||||
\(344\) | −16.6915 | + | 22.5456i | −0.899945 | + | 1.21557i | ||||
\(345\) | 16.1281 | + | 5.87016i | 0.868310 | + | 0.316039i | ||||
\(346\) | 5.58870 | − | 2.54636i | 0.300450 | − | 0.136893i | ||||
\(347\) | 11.2626 | − | 1.98589i | 0.604605 | − | 0.106608i | 0.137038 | − | 0.990566i | \(-0.456242\pi\) |
0.467567 | + | 0.883958i | \(0.345131\pi\) | |||||||
\(348\) | −0.246638 | + | 13.9972i | −0.0132212 | + | 0.750328i | ||||
\(349\) | 15.1866 | + | 8.76801i | 0.812922 | + | 0.469341i | 0.847970 | − | 0.530045i | \(-0.177825\pi\) |
−0.0350473 | + | 0.999386i | \(0.511158\pi\) | |||||||
\(350\) | −9.34214 | − | 4.45692i | −0.499359 | − | 0.238232i | ||||
\(351\) | 1.76211 | + | 1.47858i | 0.0940543 | + | 0.0789209i | ||||
\(352\) | −25.4019 | + | 23.2573i | −1.35393 | + | 1.23962i | ||||
\(353\) | 8.16234 | + | 14.1376i | 0.434437 | + | 0.752468i | 0.997250 | − | 0.0741171i | \(-0.0236139\pi\) |
−0.562812 | + | 0.826585i | \(0.690281\pi\) | |||||||
\(354\) | 0.851468 | + | 10.8304i | 0.0452550 | + | 0.575628i | ||||
\(355\) | −4.64938 | − | 12.7741i | −0.246763 | − | 0.677977i | ||||
\(356\) | 5.39841 | + | 1.05027i | 0.286115 | + | 0.0556643i | ||||
\(357\) | 7.75550 | + | 1.36750i | 0.410465 | + | 0.0723760i | ||||
\(358\) | −5.39436 | − | 20.8656i | −0.285101 | − | 1.10278i | ||||
\(359\) | 14.4473 | − | 12.1227i | 0.762501 | − | 0.639814i | −0.176276 | − | 0.984341i | \(-0.556405\pi\) |
0.938777 | + | 0.344527i | \(0.111961\pi\) | |||||||
\(360\) | 7.59415 | − | 1.82120i | 0.400247 | − | 0.0959857i | ||||
\(361\) | −18.7412 | + | 3.12519i | −0.986380 | + | 0.164484i | ||||
\(362\) | −6.11946 | − | 8.90545i | −0.321632 | − | 0.468060i | ||||
\(363\) | −16.7558 | − | 19.9688i | −0.879454 | − | 1.04809i | ||||
\(364\) | −9.68519 | − | 8.42202i | −0.507642 | − | 0.441434i | ||||
\(365\) | −17.8222 | − | 3.14253i | −0.932857 | − | 0.164488i | ||||
\(366\) | 5.81341 | + | 5.91675i | 0.303872 | + | 0.309274i | ||||
\(367\) | −1.97130 | + | 0.717493i | −0.102901 | + | 0.0374528i | −0.392957 | − | 0.919557i | \(-0.628548\pi\) |
0.290057 | + | 0.957009i | \(0.406326\pi\) | |||||||
\(368\) | 23.6502 | − | 7.67577i | 1.23285 | − | 0.400127i | ||||
\(369\) | −0.486896 | − | 0.843329i | −0.0253468 | − | 0.0439019i | ||||
\(370\) | −31.8635 | − | 3.07077i | −1.65651 | − | 0.159642i | ||||
\(371\) | −5.32598 | + | 6.34725i | −0.276511 | + | 0.329533i | ||||
\(372\) | −1.47617 | − | 9.33019i | −0.0765361 | − | 0.483748i | ||||
\(373\) | −13.6302 | − | 7.86938i | −0.705744 | − | 0.407461i | 0.103739 | − | 0.994605i | \(-0.466919\pi\) |
−0.809483 | + | 0.587143i | \(0.800253\pi\) | |||||||
\(374\) | 19.7855 | + | 14.1154i | 1.02309 | + | 0.729888i | ||||
\(375\) | −1.13943 | − | 6.46204i | −0.0588400 | − | 0.333698i | ||||
\(376\) | −7.03398 | + | 0.428465i | −0.362750 | + | 0.0220964i | ||||
\(377\) | −15.1301 | − | 5.50691i | −0.779240 | − | 0.283620i | ||||
\(378\) | 3.80188 | + | 1.05469i | 0.195547 | + | 0.0542475i | ||||
\(379\) | 18.9283i | 0.972279i | 0.873881 | + | 0.486140i | \(0.161595\pi\) | ||||
−0.873881 | + | 0.486140i | \(0.838405\pi\) | |||||||
\(380\) | 6.74602 | − | 23.1057i | 0.346064 | − | 1.18530i | ||||
\(381\) | − | 19.0459i | − | 0.975751i | ||||||
\(382\) | −10.3319 | + | 37.2437i | −0.528627 | + | 1.90556i | ||||
\(383\) | 11.3124 | + | 4.11738i | 0.578037 | + | 0.210388i | 0.614459 | − | 0.788948i | \(-0.289374\pi\) |
−0.0364230 | + | 0.999336i | \(0.511596\pi\) | |||||||
\(384\) | 7.04807 | − | 8.85012i | 0.359670 | − | 0.451631i | ||||
\(385\) | −8.14378 | − | 46.1857i | −0.415045 | − | 2.35384i | ||||
\(386\) | 3.09654 | − | 4.34043i | 0.157610 | − | 0.220922i | ||||
\(387\) | 8.58910 | + | 4.95892i | 0.436608 | + | 0.252076i | ||||
\(388\) | 3.95904 | − | 0.626379i | 0.200990 | − | 0.0317996i | ||||
\(389\) | 21.8140 | − | 25.9969i | 1.10601 | − | 1.31810i | 0.162521 | − | 0.986705i | \(-0.448038\pi\) |
0.943493 | − | 0.331391i | \(-0.107518\pi\) | |||||||
\(390\) | −0.861619 | + | 8.94051i | −0.0436298 | + | 0.452720i | ||||
\(391\) | −8.77340 | − | 15.1960i | −0.443690 | − | 0.768493i | ||||
\(392\) | −2.12418 | − | 0.629785i | −0.107287 | − | 0.0318089i | ||||
\(393\) | −14.8684 | + | 5.41166i | −0.750012 | + | 0.272982i | ||||
\(394\) | −20.5559 | + | 20.1969i | −1.03559 | + | 1.01750i | ||||
\(395\) | −5.07579 | − | 0.894999i | −0.255391 | − | 0.0450323i | ||||
\(396\) | 9.18848 | + | 7.99010i | 0.461739 | + | 0.401517i | ||||
\(397\) | −5.99579 | − | 7.14551i | −0.300920 | − | 0.358623i | 0.594303 | − | 0.804241i | \(-0.297428\pi\) |
−0.895223 | + | 0.445619i | \(0.852984\pi\) | |||||||
\(398\) | −1.35750 | + | 0.932819i | −0.0680453 | + | 0.0467580i | ||||
\(399\) | 8.63881 | − | 8.55886i | 0.432482 | − | 0.428479i | ||||
\(400\) | 7.79618 | + | 7.02438i | 0.389809 | + | 0.351219i | ||||
\(401\) | −0.427363 | + | 0.358600i | −0.0213415 | + | 0.0179077i | −0.653396 | − | 0.757016i | \(-0.726656\pi\) |
0.632054 | + | 0.774924i | \(0.282212\pi\) | |||||||
\(402\) | −4.06948 | + | 1.05208i | −0.202967 | + | 0.0524729i | ||||
\(403\) | 10.6994 | + | 1.88659i | 0.532974 | + | 0.0939777i | ||||
\(404\) | −2.90807 | + | 14.9475i | −0.144682 | + | 0.743668i | ||||
\(405\) | −0.944340 | − | 2.59455i | −0.0469246 | − | 0.128924i | ||||
\(406\) | −27.5320 | + | 2.16452i | −1.36639 | + | 0.107424i | ||||
\(407\) | −24.9561 | − | 43.2252i | −1.23703 | − | 2.14259i | ||||
\(408\) | −7.14428 | − | 3.56422i | −0.353694 | − | 0.176455i | ||||
\(409\) | 5.17866 | + | 4.34541i | 0.256068 | + | 0.214867i | 0.761780 | − | 0.647836i | \(-0.224326\pi\) |
−0.505712 | + | 0.862702i | \(0.668770\pi\) | |||||||
\(410\) | 1.63726 | − | 3.43185i | 0.0808585 | − | 0.169487i | ||||
\(411\) | −16.5681 | − | 9.56558i | −0.817243 | − | 0.471835i | ||||
\(412\) | −0.576377 | + | 32.7106i | −0.0283961 | + | 1.61153i | ||||
\(413\) | −21.1057 | + | 3.72151i | −1.03855 | + | 0.183124i | ||||
\(414\) | −3.64489 | − | 7.99974i | −0.179137 | − | 0.393166i | ||||
\(415\) | 36.8262 | + | 13.4036i | 1.80773 | + | 0.657959i | ||||
\(416\) | 6.98695 | + | 10.9773i | 0.342563 | + | 0.538208i | ||||
\(417\) | 18.2325 | 0.892851 | ||||||||
\(418\) | 35.4370 | − | 12.3605i | 1.73328 | − | 0.604572i | ||||
\(419\) | − | 15.5692i | − | 0.760605i | −0.924862 | − | 0.380302i | \(-0.875820\pi\) | ||
0.924862 | − | 0.380302i | \(-0.124180\pi\) | |||||||
\(420\) | 5.01329 | + | 14.5675i | 0.244623 | + | 0.710820i | ||||
\(421\) | 0.477062 | − | 1.31072i | 0.0232506 | − | 0.0638805i | −0.927524 | − | 0.373763i | \(-0.878067\pi\) |
0.950775 | + | 0.309882i | \(0.100290\pi\) | |||||||
\(422\) | 18.8744 | − | 8.59969i | 0.918793 | − | 0.418626i | ||||
\(423\) | 0.432644 | + | 2.45365i | 0.0210359 | + | 0.119300i | ||||
\(424\) | 7.00603 | − | 4.63469i | 0.340243 | − | 0.225081i | ||||
\(425\) | 3.70274 | − | 6.41334i | 0.179609 | − | 0.311093i | ||||
\(426\) | −2.99807 | + | 6.28424i | −0.145257 | + | 0.304473i | ||||
\(427\) | −10.5182 | + | 12.5351i | −0.509011 | + | 0.606616i | ||||
\(428\) | 10.6600 | + | 19.2387i | 0.515271 | + | 0.929935i | ||||
\(429\) | −12.1284 | + | 7.00236i | −0.585567 | + | 0.338077i | ||||
\(430\) | 3.03526 | + | 38.6074i | 0.146373 | + | 1.86181i | ||||
\(431\) | 11.5493 | − | 4.20361i | 0.556312 | − | 0.202481i | −0.0485370 | − | 0.998821i | \(-0.515456\pi\) |
0.604849 | + | 0.796341i | \(0.293234\pi\) | |||||||
\(432\) | −3.39149 | − | 2.12080i | −0.163173 | − | 0.102037i | ||||
\(433\) | −4.69726 | + | 26.6395i | −0.225736 | + | 1.28021i | 0.635537 | + | 0.772070i | \(0.280779\pi\) |
−0.861273 | + | 0.508142i | \(0.830332\pi\) | |||||||
\(434\) | 18.0417 | − | 4.66431i | 0.866029 | − | 0.223894i | ||||
\(435\) | 12.4229 | + | 14.8050i | 0.595632 | + | 0.709846i | ||||
\(436\) | −5.09364 | − | 1.95623i | −0.243941 | − | 0.0936865i | ||||
\(437\) | −26.9812 | − | 2.48700i | −1.29069 | − | 0.118969i | ||||
\(438\) | 5.24957 | + | 7.63953i | 0.250834 | + | 0.365031i | ||||
\(439\) | 11.5932 | − | 9.72785i | 0.553313 | − | 0.464285i | −0.322748 | − | 0.946485i | \(-0.604607\pi\) |
0.876061 | + | 0.482200i | \(0.160162\pi\) | |||||||
\(440\) | −5.39413 | + | 47.2395i | −0.257155 | + | 2.25205i | ||||
\(441\) | −0.136023 | + | 0.771424i | −0.00647728 | + | 0.0367345i | ||||
\(442\) | 6.55008 | − | 6.43568i | 0.311555 | − | 0.306114i | ||||
\(443\) | −1.62616 | − | 4.46785i | −0.0772613 | − | 0.212274i | 0.895049 | − | 0.445968i | \(-0.147141\pi\) |
−0.972310 | + | 0.233695i | \(0.924918\pi\) | |||||||
\(444\) | 10.3163 | + | 12.7438i | 0.489589 | + | 0.604796i | ||||
\(445\) | 6.57523 | − | 3.79621i | 0.311696 | − | 0.179958i | ||||
\(446\) | −23.2531 | − | 2.24096i | −1.10107 | − | 0.106113i | ||||
\(447\) | 7.63802 | + | 6.40906i | 0.361266 | + | 0.303138i | ||||
\(448\) | 18.7122 | + | 12.1650i | 0.884067 | + | 0.574743i | ||||
\(449\) | 15.8335 | − | 27.4245i | 0.747230 | − | 1.29424i | −0.201916 | − | 0.979403i | \(-0.564717\pi\) |
0.949146 | − | 0.314837i | \(-0.101950\pi\) | |||||||
\(450\) | 2.15475 | − | 3.02032i | 0.101576 | − | 0.142379i | ||||
\(451\) | 5.83867 | − | 1.02952i | 0.274932 | − | 0.0484780i | ||||
\(452\) | −18.6622 | − | 11.2176i | −0.877794 | − | 0.527630i | ||||
\(453\) | −6.45578 | + | 17.7371i | −0.303319 | + | 0.833362i | ||||
\(454\) | −20.2596 | − | 5.62029i | −0.950830 | − | 0.263773i | ||||
\(455\) | −17.7189 | −0.830676 | ||||||||
\(456\) | −10.8635 | + | 5.82968i | −0.508728 | + | 0.273000i | ||||
\(457\) | 23.7799 | 1.11237 | 0.556187 | − | 0.831057i | \(-0.312264\pi\) | ||||
0.556187 | + | 0.831057i | \(0.312264\pi\) | |||||||
\(458\) | 2.25218 | + | 0.624786i | 0.105238 | + | 0.0291943i | ||||
\(459\) | −0.965445 | + | 2.65254i | −0.0450631 | + | 0.123810i | ||||
\(460\) | 17.6843 | − | 29.4206i | 0.824534 | − | 1.37174i | ||||
\(461\) | 12.3585 | − | 2.17913i | 0.575591 | − | 0.101492i | 0.121728 | − | 0.992564i | \(-0.461157\pi\) |
0.453863 | + | 0.891071i | \(0.350045\pi\) | |||||||
\(462\) | −13.9508 | + | 19.5548i | −0.649049 | + | 0.909774i | ||||
\(463\) | 2.80858 | − | 4.86460i | 0.130526 | − | 0.226077i | −0.793354 | − | 0.608761i | \(-0.791667\pi\) |
0.923879 | + | 0.382684i | \(0.125000\pi\) | |||||||
\(464\) | 27.3850 | + | 5.83032i | 1.27131 | + | 0.270666i | ||||
\(465\) | −9.98987 | − | 8.38249i | −0.463269 | − | 0.388729i | ||||
\(466\) | −14.6093 | − | 1.40794i | −0.676765 | − | 0.0652215i | ||||
\(467\) | −14.0915 | + | 8.13574i | −0.652077 | + | 0.376477i | −0.789252 | − | 0.614070i | \(-0.789531\pi\) |
0.137174 | + | 0.990547i | \(0.456198\pi\) | |||||||
\(468\) | 3.57576 | − | 2.89462i | 0.165290 | − | 0.133804i | ||||
\(469\) | −2.83600 | − | 7.79186i | −0.130954 | − | 0.359794i | ||||
\(470\) | −6.93952 | + | 6.81832i | −0.320096 | + | 0.314506i | ||||
\(471\) | −2.97265 | + | 16.8588i | −0.136973 | + | 0.776811i | ||||
\(472\) | 21.5873 | + | 2.46499i | 0.993637 | + | 0.113460i | ||||
\(473\) | −46.2559 | + | 38.8133i | −2.12685 | + | 1.78464i | ||||
\(474\) | 1.49509 | + | 2.17575i | 0.0686716 | + | 0.0999355i | ||||
\(475\) | −4.78461 | − | 10.3864i | −0.219533 | − | 0.476562i | ||||
\(476\) | 5.64683 | − | 14.7032i | 0.258822 | − | 0.673921i | ||||
\(477\) | −1.90905 | − | 2.27511i | −0.0874093 | − | 0.104170i | ||||
\(478\) | −21.5409 | + | 5.56894i | −0.985256 | + | 0.254718i | ||||
\(479\) | −4.65632 | + | 26.4073i | −0.212753 | + | 1.20658i | 0.672012 | + | 0.740541i | \(0.265430\pi\) |
−0.884764 | + | 0.466039i | \(0.845681\pi\) | |||||||
\(480\) | −0.674837 | − | 15.6044i | −0.0308019 | − | 0.712238i | ||||
\(481\) | −17.7204 | + | 6.44970i | −0.807981 | + | 0.294081i | ||||
\(482\) | 2.15925 | + | 27.4649i | 0.0983511 | + | 1.25099i | ||||
\(483\) | 15.0188 | − | 8.67110i | 0.683379 | − | 0.394549i | ||||
\(484\) | −45.6024 | + | 25.2680i | −2.07284 | + | 1.14854i | ||||
\(485\) | 3.55691 | − | 4.23896i | 0.161511 | − | 0.192481i | ||||
\(486\) | −0.608940 | + | 1.27640i | −0.0276221 | + | 0.0578986i | ||||
\(487\) | −8.46625 | + | 14.6640i | −0.383643 | + | 0.664488i | −0.991580 | − | 0.129497i | \(-0.958664\pi\) |
0.607937 | + | 0.793985i | \(0.291997\pi\) | |||||||
\(488\) | 13.8361 | − | 9.15298i | 0.626331 | − | 0.414336i | ||||
\(489\) | −1.24402 | − | 7.05521i | −0.0562567 | − | 0.319048i | ||||
\(490\) | −2.78338 | + | 1.26818i | −0.125740 | + | 0.0572906i | ||||
\(491\) | 10.8728 | − | 29.8728i | 0.490683 | − | 1.34814i | −0.409374 | − | 0.912367i | \(-0.634253\pi\) |
0.900057 | − | 0.435773i | \(-0.143525\pi\) | |||||||
\(492\) | −1.84158 | + | 0.633767i | −0.0830249 | + | 0.0285724i | ||||
\(493\) | − | 19.7585i | − | 0.889878i | ||||||
\(494\) | −2.27414 | − | 13.9962i | −0.102318 | − | 0.629721i | ||||
\(495\) | 16.8102 | 0.755563 | ||||||||
\(496\) | −18.8808 | − | 0.665584i | −0.847771 | − | 0.0298856i | ||||
\(497\) | −12.9073 | − | 4.69787i | −0.578971 | − | 0.210728i | ||||
\(498\) | −8.32258 | − | 18.2662i | −0.372944 | − | 0.818529i | ||||
\(499\) | 23.3466 | − | 4.11663i | 1.04514 | − | 0.184286i | 0.375384 | − | 0.926870i | \(-0.377511\pi\) |
0.669753 | + | 0.742584i | \(0.266400\pi\) | |||||||
\(500\) | −13.1214 | − | 0.231206i | −0.586807 | − | 0.0103398i | ||||
\(501\) | 6.94769 | + | 4.01125i | 0.310400 | + | 0.179209i | ||||
\(502\) | −18.2878 | + | 38.3331i | −0.816226 | + | 1.71089i | ||||
\(503\) | 11.6405 | + | 9.76752i | 0.519023 | + | 0.435512i | 0.864291 | − | 0.502992i | \(-0.167767\pi\) |
−0.345268 | + | 0.938504i | \(0.612212\pi\) | |||||||
\(504\) | 3.52266 | − | 7.06098i | 0.156912 | − | 0.314521i | ||||
\(505\) | 10.5112 | + | 18.2060i | 0.467744 | + | 0.810156i | ||||
\(506\) | 53.3575 | − | 4.19488i | 2.37203 | − | 0.186485i | ||||
\(507\) | −2.63656 | − | 7.24388i | −0.117094 | − | 0.321712i | ||||
\(508\) | −37.3907 | − | 7.27444i | −1.65895 | − | 0.322751i | ||||
\(509\) | −2.36300 | − | 0.416661i | −0.104738 | − | 0.0184682i | 0.121033 | − | 0.992648i | \(-0.461379\pi\) |
−0.225772 | + | 0.974180i | \(0.572490\pi\) | |||||||
\(510\) | −10.6713 | + | 2.75885i | −0.472534 | + | 0.122164i | ||||
\(511\) | −14.0078 | + | 11.7539i | −0.619668 | + | 0.519963i | ||||
\(512\) | −14.6825 | − | 17.2170i | −0.648882 | − | 0.760889i | ||||
\(513\) | 2.48353 | + | 3.58219i | 0.109651 | + | 0.158157i | ||||
\(514\) | 23.1745 | − | 15.9246i | 1.02218 | − | 0.702402i | ||||
\(515\) | 29.0315 | + | 34.5984i | 1.27928 | + | 1.52459i | ||||
\(516\) | 13.0158 | − | 14.9680i | 0.572991 | − | 0.658930i | ||||
\(517\) | −14.9386 | − | 2.63407i | −0.656997 | − | 0.115846i | ||||
\(518\) | −23.0720 | + | 22.6690i | −1.01372 | + | 0.996019i | ||||
\(519\) | −4.08077 | + | 1.48528i | −0.179126 | + | 0.0651965i | ||||
\(520\) | 17.2228 | + | 5.10629i | 0.755272 | + | 0.223925i | ||||
\(521\) | −13.8748 | − | 24.0318i | −0.607865 | − | 1.05285i | −0.991592 | − | 0.129406i | \(-0.958693\pi\) |
0.383727 | − | 0.923447i | \(-0.374640\pi\) | |||||||
\(522\) | 0.949596 | − | 9.85339i | 0.0415627 | − | 0.431271i | ||||
\(523\) | 13.0236 | − | 15.5209i | 0.569483 | − | 0.678684i | −0.402042 | − | 0.915621i | \(-0.631699\pi\) |
0.971525 | + | 0.236938i | \(0.0761437\pi\) | |||||||
\(524\) | 4.94524 | + | 31.2565i | 0.216034 | + | 1.36545i | ||||
\(525\) | 6.33857 | + | 3.65957i | 0.276638 | + | 0.159717i | ||||
\(526\) | 11.1296 | − | 15.6004i | 0.485273 | − | 0.680209i | ||||
\(527\) | 2.31513 | + | 13.1298i | 0.100849 | + | 0.571941i | ||||
\(528\) | 19.1956 | − | 14.9870i | 0.835380 | − | 0.652225i | ||||
\(529\) | −14.6973 | − | 5.34939i | −0.639015 | − | 0.232582i | ||||
\(530\) | 3.10005 | − | 11.1748i | 0.134658 | − | 0.485404i | ||||
\(531\) | − | 7.68186i | − | 0.333364i | ||||||
\(532\) | −13.5031 | − | 20.2286i | −0.585436 | − | 0.877023i | ||||
\(533\) | − | 2.23998i | − | 0.0970243i | ||||||
\(534\) | −3.74730 | − | 1.03955i | −0.162162 | − | 0.0449859i | ||||
\(535\) | 28.5330 | + | 10.3852i | 1.23359 | + | 0.448990i | ||||
\(536\) | 0.511126 | + | 8.39099i | 0.0220773 | + | 0.362436i | ||||
\(537\) | 2.64627 | + | 15.0078i | 0.114195 | + | 0.647633i | ||||
\(538\) | −4.60619 | − | 3.28614i | −0.198587 | − | 0.141676i | ||||
\(539\) | −4.13018 | − | 2.38456i | −0.177899 | − | 0.102710i | ||||
\(540\) | −5.45429 | + | 0.862949i | −0.234715 | + | 0.0371354i | ||||
\(541\) | 12.5034 | − | 14.9010i | 0.537564 | − | 0.640644i | −0.427076 | − | 0.904216i | \(-0.640456\pi\) |
0.964640 | + | 0.263572i | \(0.0849007\pi\) | |||||||
\(542\) | −1.20410 | − | 0.116042i | −0.0517204 | − | 0.00498443i | ||||
\(543\) | 3.82025 | + | 6.61688i | 0.163943 | + | 0.283957i | ||||
\(544\) | −9.72595 | + | 12.6643i | −0.416997 | + | 0.542976i | ||||
\(545\) | −7.07842 | + | 2.57633i | −0.303206 | + | 0.110358i | ||||
\(546\) | 6.36064 | + | 6.47371i | 0.272210 | + | 0.277049i | ||||
\(547\) | 15.6913 | + | 2.76679i | 0.670910 | + | 0.118299i | 0.498718 | − | 0.866764i | \(-0.333804\pi\) |
0.172191 | + | 0.985064i | \(0.444915\pi\) | |||||||
\(548\) | −25.1071 | + | 28.8728i | −1.07252 | + | 1.23338i | ||||
\(549\) | −3.77015 | − | 4.49309i | −0.160906 | − | 0.191760i | ||||
\(550\) | 12.7928 | + | 18.6169i | 0.545486 | + | 0.793828i | ||||
\(551\) | −24.9114 | − | 17.6163i | −1.06126 | − | 0.750481i | ||||
\(552\) | −17.0972 | + | 4.10018i | −0.727704 | + | 0.174515i | ||||
\(553\) | −3.98944 | + | 3.34754i | −0.169648 | + | 0.142352i | ||||
\(554\) | −1.13568 | − | 4.39283i | −0.0482503 | − | 0.186634i | ||||
\(555\) | 22.2914 | + | 3.93058i | 0.946218 | + | 0.166844i | ||||
\(556\) | 6.96378 | − | 35.7940i | 0.295330 | − | 1.51800i | ||||
\(557\) | 4.99404 | + | 13.7210i | 0.211604 | + | 0.581378i | 0.999403 | − | 0.0345549i | \(-0.0110014\pi\) |
−0.787798 | + | 0.615933i | \(0.788779\pi\) | |||||||
\(558\) | 0.523517 | + | 6.65895i | 0.0221622 | + | 0.281896i | ||||
\(559\) | 11.4068 | + | 19.7572i | 0.482458 | + | 0.835641i | ||||
\(560\) | 30.5135 | − | 4.27810i | 1.28943 | − | 0.180783i | ||||
\(561\) | −13.1652 | − | 11.0469i | −0.555834 | − | 0.466400i | ||||
\(562\) | −22.9080 | − | 10.9289i | −0.966315 | − | 0.461007i | ||||
\(563\) | 3.34210 | + | 1.92956i | 0.140853 | + | 0.0813213i | 0.568770 | − | 0.822496i | \(-0.307419\pi\) |
−0.427918 | + | 0.903818i | \(0.640753\pi\) | |||||||
\(564\) | 4.98222 | + | 0.0877893i | 0.209789 | + | 0.00369660i | ||||
\(565\) | −29.6031 | + | 5.21983i | −1.24541 | + | 0.219600i | ||||
\(566\) | −16.6933 | + | 7.60592i | −0.701673 | + | 0.319701i | ||||
\(567\) | −2.62161 | − | 0.954189i | −0.110097 | − | 0.0400722i | ||||
\(568\) | 11.1921 | + | 8.28600i | 0.469609 | + | 0.347673i | ||||
\(569\) | 5.88417 | 0.246677 | 0.123339 | − | 0.992365i | \(-0.460640\pi\) | ||||
0.123339 | + | 0.992365i | \(0.460640\pi\) | |||||||
\(570\) | −6.03602 | + | 15.9141i | −0.252821 | + | 0.666568i | ||||
\(571\) | − | 25.2352i | − | 1.05606i | −0.849226 | − | 0.528029i | \(-0.822931\pi\) | ||
0.849226 | − | 0.528029i | \(-0.177069\pi\) | |||||||
\(572\) | 9.11460 | + | 26.4850i | 0.381101 | + | 1.10739i | ||||
\(573\) | 9.34737 | − | 25.6817i | 0.390492 | − | 1.07287i | ||||
\(574\) | −1.59299 | − | 3.49625i | −0.0664899 | − | 0.145931i | ||||
\(575\) | −2.83185 | − | 16.0602i | −0.118096 | − | 0.669757i | ||||
\(576\) | −5.45889 | + | 5.84812i | −0.227454 | + | 0.243672i | ||||
\(577\) | 5.88975 | − | 10.2013i | 0.245193 | − | 0.424687i | −0.716993 | − | 0.697081i | \(-0.754482\pi\) |
0.962186 | + | 0.272393i | \(0.0878152\pi\) | |||||||
\(578\) | −11.5284 | − | 5.49992i | −0.479517 | − | 0.228766i | ||||
\(579\) | −2.42340 | + | 2.88809i | −0.100713 | + | 0.120025i | ||||
\(580\) | 33.8099 | − | 18.7338i | 1.40388 | − | 0.777880i | ||||
\(581\) | 34.2932 | − | 19.7992i | 1.42272 | − | 0.821409i | ||||
\(582\) | −2.82557 | + | 0.222142i | −0.117123 | + | 0.00920807i | ||||
\(583\) | 16.9915 | − | 6.18440i | 0.703716 | − | 0.256132i | ||||
\(584\) | 17.0029 | − | 7.38805i | 0.703585 | − | 0.305720i | ||||
\(585\) | 1.10287 | − | 6.25470i | 0.0455981 | − | 0.258600i | ||||
\(586\) | 4.26794 | + | 16.5085i | 0.176307 | + | 0.681961i | ||||
\(587\) | 0.0789445 | + | 0.0940823i | 0.00325839 | + | 0.00388319i | 0.767671 | − | 0.640844i | \(-0.221415\pi\) |
−0.764413 | + | 0.644727i | \(0.776971\pi\) | |||||||
\(588\) | 1.46250 | + | 0.561679i | 0.0603125 | + | 0.0231632i | ||||
\(589\) | 18.6181 | + | 8.78735i | 0.767144 | + | 0.362076i | ||||
\(590\) | 24.7216 | − | 16.9877i | 1.01777 | − | 0.699372i | ||||
\(591\) | 15.6098 | − | 13.0982i | 0.642102 | − | 0.538788i | ||||
\(592\) | 28.9588 | − | 15.3854i | 1.19020 | − | 0.632336i | ||||
\(593\) | −4.38985 | + | 24.8961i | −0.180270 | + | 1.02236i | 0.751614 | + | 0.659603i | \(0.229275\pi\) |
−0.931884 | + | 0.362756i | \(0.881836\pi\) | |||||||
\(594\) | −6.03444 | − | 6.14170i | −0.247596 | − | 0.251997i | ||||
\(595\) | −7.43681 | − | 20.4325i | −0.304880 | − | 0.837650i | ||||
\(596\) | 15.4995 | − | 12.5470i | 0.634884 | − | 0.513945i | ||||
\(597\) | 1.00864 | − | 0.582340i | 0.0412810 | − | 0.0238336i | ||||
\(598\) | 1.93982 | − | 20.1283i | 0.0793250 | − | 0.823108i | ||||
\(599\) | −26.3972 | − | 22.1498i | −1.07856 | − | 0.905018i | −0.0827581 | − | 0.996570i | \(-0.526373\pi\) |
−0.995800 | + | 0.0915517i | \(0.970817\pi\) | |||||||
\(600\) | −5.10648 | − | 5.38378i | −0.208471 | − | 0.219792i | ||||
\(601\) | 2.91203 | − | 5.04378i | 0.118784 | − | 0.205740i | −0.800502 | − | 0.599330i | \(-0.795434\pi\) |
0.919286 | + | 0.393590i | \(0.128767\pi\) | |||||||
\(602\) | 31.8548 | + | 22.7258i | 1.29830 | + | 0.926234i | ||||
\(603\) | 2.92701 | − | 0.516111i | 0.119197 | − | 0.0210176i | ||||
\(604\) | 32.3556 | + | 19.4485i | 1.31653 | + | 0.791348i | ||||
\(605\) | −24.6165 | + | 67.6334i | −1.00080 | + | 2.74969i | ||||
\(606\) | 2.87840 | − | 10.3758i | 0.116927 | − | 0.421489i | ||||
\(607\) | −14.1474 | −0.574226 | −0.287113 | − | 0.957897i | \(-0.592696\pi\) | ||||
−0.287113 | + | 0.957897i | \(0.592696\pi\) | |||||||
\(608\) | 7.29555 | + | 23.5537i | 0.295874 | + | 0.955227i | ||||
\(609\) | 19.5281 | 0.791320 | ||||||||
\(610\) | 6.12225 | − | 22.0690i | 0.247883 | − | 0.893549i | ||||
\(611\) | −1.96015 | + | 5.38548i | −0.0792994 | + | 0.217873i | ||||
\(612\) | 4.83870 | + | 2.90847i | 0.195593 | + | 0.117568i | ||||
\(613\) | 38.3919 | − | 6.76952i | 1.55063 | − | 0.273419i | 0.668245 | − | 0.743941i | \(-0.267046\pi\) |
0.882388 | + | 0.470522i | \(0.155935\pi\) | |||||||
\(614\) | −35.0457 | − | 25.0022i | −1.41433 | − | 1.00901i | ||||
\(615\) | −1.34435 | + | 2.32848i | −0.0542095 | + | 0.0938936i | ||||
\(616\) | 33.0615 | + | 34.8569i | 1.33209 | + | 1.40442i | ||||
\(617\) | −12.8417 | − | 10.7754i | −0.516986 | − | 0.433803i | 0.346593 | − | 0.938015i | \(-0.387338\pi\) |
−0.863580 | + | 0.504213i | \(0.831783\pi\) | |||||||
\(618\) | 2.21915 | − | 23.0268i | 0.0892672 | − | 0.926273i | ||||
\(619\) | −3.40163 | + | 1.96393i | −0.136723 | + | 0.0789371i | −0.566801 | − | 0.823855i | \(-0.691819\pi\) |
0.430078 | + | 0.902792i | \(0.358486\pi\) | |||||||
\(620\) | −20.2720 | + | 16.4104i | −0.814143 | + | 0.659057i | ||||
\(621\) | 2.12605 | + | 5.84127i | 0.0853155 | + | 0.234402i | ||||
\(622\) | −15.0757 | − | 15.3437i | −0.604480 | − | 0.615225i | ||||
\(623\) | 1.33216 | − | 7.55505i | 0.0533718 | − | 0.302687i | ||||
\(624\) | −4.31695 | − | 8.12549i | −0.172816 | − | 0.325280i | ||||
\(625\) | −23.9272 | + | 20.0773i | −0.957088 | + | 0.803092i | ||||
\(626\) | −16.3752 | + | 11.2524i | −0.654485 | + | 0.449735i | ||||
\(627\) | −25.6657 | + | 6.74937i | −1.02499 | + | 0.269544i | ||||
\(628\) | 31.9616 | + | 12.2750i | 1.27541 | + | 0.489825i | ||||
\(629\) | −14.8749 | − | 17.7272i | −0.593100 | − | 0.706829i | ||||
\(630\) | −2.72668 | − | 10.5469i | −0.108634 | − | 0.420199i | ||||
\(631\) | 1.75568 | − | 9.95693i | 0.0698923 | − | 0.396379i | −0.929713 | − | 0.368285i | \(-0.879945\pi\) |
0.999605 | − | 0.0280941i | \(-0.00894382\pi\) | |||||||
\(632\) | 4.84245 | − | 2.10413i | 0.192622 | − | 0.0836978i | ||||
\(633\) | −13.7818 | + | 5.01616i | −0.547777 | + | 0.199374i | ||||
\(634\) | 11.2208 | − | 0.882160i | 0.445634 | − | 0.0350350i | ||||
\(635\) | −45.5416 | + | 26.2935i | −1.80726 | + | 1.04342i | ||||
\(636\) | −5.19563 | + | 2.87886i | −0.206020 | + | 0.114154i | ||||
\(637\) | −1.15821 | + | 1.38030i | −0.0458900 | + | 0.0546895i | ||||
\(638\) | 54.3952 | + | 25.9507i | 2.15353 | + | 1.02740i | ||||
\(639\) | 2.46171 | − | 4.26381i | 0.0973837 | − | 0.168674i | ||||
\(640\) | −30.8921 | − | 4.63514i | −1.22112 | − | 0.183220i | ||||
\(641\) | 2.09592 | + | 11.8865i | 0.0827837 | + | 0.469490i | 0.997813 | + | 0.0661021i | \(0.0210563\pi\) |
−0.915029 | + | 0.403388i | \(0.867833\pi\) | |||||||
\(642\) | −6.44835 | − | 14.1527i | −0.254496 | − | 0.558563i | ||||
\(643\) | −9.49738 | + | 26.0938i | −0.374540 | + | 1.02904i | 0.599045 | + | 0.800716i | \(0.295547\pi\) |
−0.973585 | + | 0.228325i | \(0.926675\pi\) | |||||||
\(644\) | −11.2867 | − | 32.7966i | −0.444759 | − | 1.29237i | ||||
\(645\) | − | 27.3838i | − | 1.07824i | ||||||
\(646\) | 15.1852 | − | 8.49678i | 0.597454 | − | 0.334301i | ||||
\(647\) | −20.6184 | −0.810595 | −0.405297 | − | 0.914185i | \(-0.632832\pi\) | ||||
−0.405297 | + | 0.914185i | \(0.632832\pi\) | |||||||
\(648\) | 2.27323 | + | 1.68298i | 0.0893010 | + | 0.0661136i | ||||
\(649\) | 43.9490 | + | 15.9961i | 1.72515 | + | 0.627903i | ||||
\(650\) | 7.76623 | − | 3.53850i | 0.304617 | − | 0.138791i | ||||
\(651\) | −12.9767 | + | 2.28814i | −0.508596 | + | 0.0896791i | ||||
\(652\) | −14.3259 | − | 0.252429i | −0.561045 | − | 0.00988590i | ||||
\(653\) | −37.0472 | − | 21.3892i | −1.44977 | − | 0.837025i | −0.451302 | − | 0.892371i | \(-0.649040\pi\) |
−0.998467 | + | 0.0553465i | \(0.982374\pi\) | |||||||
\(654\) | 3.48225 | + | 1.66130i | 0.136167 | + | 0.0649620i | ||||
\(655\) | 33.4664 | + | 28.0817i | 1.30764 | + | 1.09724i | ||||
\(656\) | 0.540827 | + | 3.85744i | 0.0211157 | + | 0.150608i | ||||
\(657\) | −3.27720 | − | 5.67628i | −0.127856 | − | 0.221453i | ||||
\(658\) | 0.770451 | + | 9.79986i | 0.0300353 | + | 0.382039i | ||||
\(659\) | −5.60271 | − | 15.3933i | −0.218251 | − | 0.599639i | 0.781454 | − | 0.623963i | \(-0.214479\pi\) |
−0.999704 | + | 0.0243249i | \(0.992256\pi\) | |||||||
\(660\) | 6.42054 | − | 33.0017i | 0.249919 | − | 1.28459i | ||||
\(661\) | 13.9146 | + | 2.45352i | 0.541216 | + | 0.0954309i | 0.437572 | − | 0.899184i | \(-0.355839\pi\) |
0.103644 | + | 0.994614i | \(0.466950\pi\) | |||||||
\(662\) | −8.31947 | − | 32.1800i | −0.323345 | − | 1.25071i | ||||
\(663\) | −4.97403 | + | 4.17370i | −0.193175 | + | 0.162093i | ||||
\(664\) | −39.0389 | + | 9.36216i | −1.51500 | + | 0.363322i | ||||
\(665\) | −32.3917 | − | 8.84094i | −1.25610 | − | 0.342837i | ||||
\(666\) | −6.56599 | − | 9.55527i | −0.254427 | − | 0.370259i | ||||
\(667\) | −27.9684 | − | 33.3314i | −1.08294 | − | 1.29060i | ||||
\(668\) | 10.5285 | − | 12.1076i | 0.407359 | − | 0.468456i | ||||
\(669\) | 16.2677 | + | 2.86843i | 0.628945 | + | 0.110900i | ||||
\(670\) | 8.13372 | + | 8.27831i | 0.314233 | + | 0.319819i | ||||
\(671\) | 33.5562 | − | 12.2135i | 1.29542 | − | 0.471496i | ||||
\(672\) | −12.5166 | − | 9.61255i | −0.482838 | − | 0.370812i | ||||
\(673\) | −18.1907 | − | 31.5072i | −0.701199 | − | 1.21451i | −0.968046 | − | 0.250773i | \(-0.919315\pi\) |
0.266847 | − | 0.963739i | \(-0.414018\pi\) | |||||||
\(674\) | −23.0680 | − | 2.22312i | −0.888546 | − | 0.0856314i | ||||
\(675\) | −1.68634 | + | 2.00970i | −0.0649073 | + | 0.0773535i | ||||
\(676\) | −15.2281 | + | 2.40932i | −0.585697 | + | 0.0926660i | ||||
\(677\) | −33.2505 | − | 19.1972i | −1.27792 | − | 0.737808i | −0.301455 | − | 0.953480i | \(-0.597472\pi\) |
−0.976466 | + | 0.215672i | \(0.930806\pi\) | |||||||
\(678\) | 12.5339 | + | 8.94188i | 0.481360 | + | 0.343411i | ||||
\(679\) | −0.970915 | − | 5.50633i | −0.0372603 | − | 0.211314i | ||||
\(680\) | 1.34032 | + | 22.0036i | 0.0513988 | + | 0.843799i | ||||
\(681\) | 13.9702 | + | 5.08472i | 0.535338 | + | 0.194847i | ||||
\(682\) | −39.1869 | − | 10.8710i | −1.50054 | − | 0.416271i | ||||
\(683\) | − | 29.9054i | − | 1.14430i | −0.820149 | − | 0.572150i | \(-0.806110\pi\) | ||
0.820149 | − | 0.572150i | \(-0.193890\pi\) | |||||||
\(684\) | 7.98108 | − | 3.50746i | 0.305164 | − | 0.134111i | ||||
\(685\) | 52.8224i | 2.01824i | ||||||||
\(686\) | 6.55668 | − | 23.6350i | 0.250335 | − | 0.902390i | ||||
\(687\) | −1.55301 | − | 0.565249i | −0.0592509 | − | 0.0215656i | ||||
\(688\) | −24.4138 | − | 31.2695i | −0.930766 | − | 1.19214i | ||||
\(689\) | −1.18631 | − | 6.72789i | −0.0451948 | − | 0.256312i | ||||
\(690\) | −14.0967 | + | 19.7594i | −0.536653 | + | 0.752228i | ||||
\(691\) | −31.5252 | − | 18.2011i | −1.19927 | − | 0.692401i | −0.238880 | − | 0.971049i | \(-0.576780\pi\) |
−0.960393 | + | 0.278648i | \(0.910114\pi\) | |||||||
\(692\) | 1.35727 | + | 8.57863i | 0.0515955 | + | 0.326111i | ||||
\(693\) | 10.9181 | − | 13.0117i | 0.414744 | − | 0.494272i | ||||
\(694\) | −1.55148 | + | 16.0988i | −0.0588934 | + | 0.611101i | ||||
\(695\) | −25.1706 | − | 43.5968i | −0.954776 | − | 1.65372i | ||||
\(696\) | −18.9814 | − | 5.62767i | −0.719488 | − | 0.213316i | ||||
\(697\) | 2.58302 | − | 0.940143i | 0.0978389 | − | 0.0356104i | ||||
\(698\) | −17.6898 | + | 17.3809i | −0.669570 | + | 0.657876i | ||||
\(699\) | 10.2206 | + | 1.80216i | 0.386577 | + | 0.0681640i | ||||
\(700\) | 9.60541 | − | 11.0461i | 0.363050 | − | 0.417502i | ||||
\(701\) | 17.2533 | + | 20.5616i | 0.651647 | + | 0.776603i | 0.986161 | − | 0.165788i | \(-0.0530167\pi\) |
−0.334514 | + | 0.942391i | \(0.608572\pi\) | |||||||
\(702\) | −2.68109 | + | 1.84234i | −0.101191 | + | 0.0695345i | ||||
\(703\) | −35.6125 | + | 2.94892i | −1.34315 | + | 0.111221i | ||||
\(704\) | −22.0907 | − | 43.4087i | −0.832576 | − | 1.63603i | ||||
\(705\) | 5.26976 | − | 4.42186i | 0.198471 | − | 0.166537i | ||||
\(706\) | −22.3517 | + | 5.77857i | −0.841217 | + | 0.217479i | ||||
\(707\) | 20.9190 | + | 3.68859i | 0.786741 | + | 0.138724i | ||||
\(708\) | −15.0810 | − | 2.93403i | −0.566777 | − | 0.110268i | ||||
\(709\) | 4.62635 | + | 12.7108i | 0.173746 | + | 0.477364i | 0.995748 | − | 0.0921215i | \(-0.0293648\pi\) |
−0.822002 | + | 0.569485i | \(0.807143\pi\) | |||||||
\(710\) | 19.1655 | − | 1.50676i | 0.719269 | − | 0.0565478i | ||||
\(711\) | −0.933352 | − | 1.61661i | −0.0350034 | − | 0.0606277i | ||||
\(712\) | −3.47210 | + | 6.95963i | −0.130122 | + | 0.260823i | ||||
\(713\) | 22.4908 | + | 18.8720i | 0.842287 | + | 0.706763i | ||||
\(714\) | −4.79549 | + | 10.0518i | −0.179467 | + | 0.376180i | ||||
\(715\) | 33.4874 | + | 19.3340i | 1.25236 | + | 0.723050i | ||||
\(716\) | 30.4738 | + | 0.536964i | 1.13886 | + | 0.0200673i | ||||
\(717\) | 15.4935 | − | 2.73192i | 0.578614 | − | 0.102025i | ||||
\(718\) | 11.0585 | + | 24.2710i | 0.412700 | + | 0.905786i | ||||
\(719\) | 15.0969 | + | 5.49481i | 0.563018 | + | 0.204922i | 0.607821 | − | 0.794074i | \(-0.292044\pi\) |
−0.0448030 | + | 0.998996i | \(0.514266\pi\) | |||||||
\(720\) | −0.389090 | + | 11.0374i | −0.0145005 | + | 0.411340i | ||||
\(721\) | 45.6361 | 1.69958 | ||||||||
\(722\) | 2.82617 | − | 26.7210i | 0.105179 | − | 0.994453i | ||||
\(723\) | − | 19.4805i | − | 0.724489i | ||||||
\(724\) | 14.4493 | − | 4.97262i | 0.537004 | − | 0.184806i | ||||
\(725\) | 6.28069 | − | 17.2561i | 0.233259 | − | 0.640874i | ||||
\(726\) | 33.5470 | − | 15.2849i | 1.24504 | − | 0.567275i | ||||
\(727\) | 3.05050 | + | 17.3002i | 0.113137 | + | 0.641630i | 0.987656 | + | 0.156639i | \(0.0500660\pi\) |
−0.874519 | + | 0.484991i | \(0.838823\pi\) | |||||||
\(728\) | 15.1385 | − | 10.0146i | 0.561071 | − | 0.371165i | ||||
\(729\) | 0.500000 | − | 0.866025i | 0.0185185 | − | 0.0320750i | ||||
\(730\) | 11.0201 | − | 23.0991i | 0.407871 | − | 0.854938i | ||||
\(731\) | −17.9954 | + | 21.4460i | −0.665582 | + | 0.793210i | ||||
\(732\) | −10.2608 | + | 5.68542i | −0.379249 | + | 0.210139i | ||||
\(733\) | 9.98914 | − | 5.76723i | 0.368957 | − | 0.213018i | −0.304046 | − | 0.952658i | \(-0.598338\pi\) |
0.673003 | + | 0.739640i | \(0.265004\pi\) | |||||||
\(734\) | −0.232524 | − | 2.95762i | −0.00858261 | − | 0.109168i | ||||
\(735\) | 2.03238 | − | 0.739725i | 0.0749654 | − | 0.0272852i | ||||
\(736\) | 1.51930 | + | 35.1310i | 0.0560022 | + | 1.29495i | ||||
\(737\) | −3.14224 | + | 17.8205i | −0.115746 | + | 0.656427i | ||||
\(738\) | 1.33331 | − | 0.344701i | 0.0490799 | − | 0.0126886i | ||||
\(739\) | 16.4847 | + | 19.6456i | 0.606398 | + | 0.722677i | 0.978668 | − | 0.205448i | \(-0.0658650\pi\) |
−0.372270 | + | 0.928124i | \(0.621421\pi\) | |||||||
\(740\) | 16.2305 | − | 42.2611i | 0.596646 | − | 1.55355i | ||||
\(741\) | 0.827432 | + | 9.99243i | 0.0303965 | + | 0.367081i | ||||
\(742\) | −6.63625 | − | 9.65751i | −0.243624 | − | 0.354538i | ||||
\(743\) | −9.83250 | + | 8.25044i | −0.360719 | + | 0.302679i | −0.805077 | − | 0.593170i | \(-0.797876\pi\) |
0.444358 | + | 0.895849i | \(0.353432\pi\) | |||||||
\(744\) | 13.2728 | + | 1.51558i | 0.486603 | + | 0.0555637i | ||||
\(745\) | 4.78050 | − | 27.1116i | 0.175144 | − | 0.993292i | ||||
\(746\) | 15.8768 | − | 15.5995i | 0.581291 | − | 0.571139i | ||||
\(747\) | 4.85452 | + | 13.3377i | 0.177618 | + | 0.488000i | ||||
\(748\) | −26.7155 | + | 21.6265i | −0.976815 | + | 0.790742i | ||||
\(749\) | 26.5704 | − | 15.3405i | 0.970863 | − | 0.560528i | ||||
\(750\) | 9.23689 | + | 0.890182i | 0.337283 | + | 0.0325048i | ||||
\(751\) | −10.1263 | − | 8.49701i | −0.369515 | − | 0.310060i | 0.439054 | − | 0.898460i | \(-0.355314\pi\) |
−0.808570 | + | 0.588400i | \(0.799758\pi\) | |||||||
\(752\) | 2.07527 | − | 9.74753i | 0.0756773 | − | 0.355456i | ||||
\(753\) | 15.0161 | − | 26.0087i | 0.547218 | − | 0.947809i | ||||
\(754\) | 13.2244 | − | 18.5367i | 0.481604 | − | 0.675066i | ||||
\(755\) | 51.3246 | − | 9.04991i | 1.86789 | − | 0.329360i | ||||
\(756\) | −2.87456 | + | 4.78228i | −0.104547 | + | 0.173930i | ||||
\(757\) | −15.6186 | + | 42.9116i | −0.567666 | + | 1.55965i | 0.240472 | + | 0.970656i | \(0.422698\pi\) |
−0.808138 | + | 0.588993i | \(0.799524\pi\) | |||||||
\(758\) | −25.7944 | − | 7.15573i | −0.936896 | − | 0.259908i | ||||
\(759\) | −37.8458 | −1.37372 | ||||||||
\(760\) | 28.9370 | + | 17.9281i | 1.04966 | + | 0.650322i | ||||
\(761\) | −5.57773 | −0.202192 | −0.101096 | − | 0.994877i | \(-0.532235\pi\) | ||||
−0.101096 | + | 0.994877i | \(0.532235\pi\) | |||||||
\(762\) | 25.9548 | + | 7.20020i | 0.940242 | + | 0.260836i | ||||
\(763\) | −2.60320 | + | 7.15224i | −0.0942423 | + | 0.258929i | ||||
\(764\) | −46.8479 | − | 28.1596i | −1.69490 | − | 1.01878i | ||||
\(765\) | 7.67545 | − | 1.35339i | 0.277507 | − | 0.0489319i | ||||
\(766\) | −9.88754 | + | 13.8594i | −0.357251 | + | 0.500760i | ||||
\(767\) | 8.83517 | − | 15.3030i | 0.319019 | − | 0.552558i | ||||
\(768\) | 9.39600 | + | 12.9505i | 0.339049 | + | 0.467311i | ||||
\(769\) | 15.5524 | + | 13.0500i | 0.560833 | + | 0.470595i | 0.878590 | − | 0.477578i | \(-0.158485\pi\) |
−0.317757 | + | 0.948172i | \(0.602929\pi\) | |||||||
\(770\) | 66.0181 | + | 6.36233i | 2.37913 | + | 0.229283i | ||||
\(771\) | −17.2190 | + | 9.94138i | −0.620126 | + | 0.358030i | ||||
\(772\) | 4.74428 | + | 5.86068i | 0.170750 | + | 0.210931i | ||||
\(773\) | −4.12046 | − | 11.3209i | −0.148202 | − | 0.407183i | 0.843272 | − | 0.537488i | \(-0.180627\pi\) |
−0.991474 | + | 0.130305i | \(0.958404\pi\) | |||||||
\(774\) | −10.0048 | + | 9.83008i | −0.359616 | + | 0.353335i | ||||
\(775\) | −2.15168 | + | 12.2028i | −0.0772905 | + | 0.438336i | ||||
\(776\) | −0.643097 | + | 5.63197i | −0.0230859 | + | 0.202176i | ||||
\(777\) | 17.5205 | − | 14.7014i | 0.628544 | − | 0.527411i | ||||
\(778\) | 27.1806 | + | 39.5550i | 0.974471 | + | 1.41812i | ||||
\(779\) | 1.11765 | − | 4.09488i | 0.0400439 | − | 0.146714i | ||||
\(780\) | −11.8579 | − | 4.55408i | −0.424582 | − | 0.163062i | ||||
\(781\) | 19.2677 | + | 22.9624i | 0.689454 | + | 0.821659i | ||||
\(782\) | 24.0250 | − | 6.21117i | 0.859133 | − | 0.222111i | ||||
\(783\) | −1.21548 | + | 6.89334i | −0.0434378 | + | 0.246348i | ||||
\(784\) | 1.66127 | − | 2.65664i | 0.0593312 | − | 0.0948800i | ||||
\(785\) | 44.4157 | − | 16.1660i | 1.58526 | − | 0.576989i | ||||
\(786\) | −1.75380 | − | 22.3078i | −0.0625561 | − | 0.795691i | ||||
\(787\) | −4.49901 | + | 2.59751i | −0.160372 | + | 0.0925911i | −0.578038 | − | 0.816010i | \(-0.696182\pi\) |
0.417666 | + | 0.908601i | \(0.362848\pi\) | |||||||
\(788\) | −19.7522 | − | 35.6478i | −0.703643 | − | 1.26990i | ||||
\(789\) | −8.71018 | + | 10.3804i | −0.310091 | + | 0.369552i | ||||
\(790\) | 3.13853 | − | 6.57867i | 0.111664 | − | 0.234059i | ||||
\(791\) | −15.1867 | + | 26.3041i | −0.539975 | + | 0.935264i | ||||
\(792\) | −14.3621 | + | 9.50097i | −0.510337 | + | 0.337602i | ||||
\(793\) | −2.34282 | − | 13.2868i | −0.0831961 | − | 0.471828i | ||||
\(794\) | 12.0042 | − | 5.46943i | 0.426013 | − | 0.194103i | ||||
\(795\) | −2.80464 | + | 7.70570i | −0.0994705 | + | 0.273293i | ||||
\(796\) | −0.758001 | − | 2.20258i | −0.0268666 | − | 0.0780683i | ||||
\(797\) | 23.0924i | 0.817976i | 0.912540 | + | 0.408988i | \(0.134118\pi\) | ||||
−0.912540 | + | 0.408988i | \(0.865882\pi\) | |||||||
\(798\) | 8.39771 | + | 15.0082i | 0.297276 | + | 0.531283i | ||||
\(799\) | −7.03293 | −0.248807 | ||||||||
\(800\) | −12.5198 | + | 7.96870i | −0.442641 | + | 0.281736i | ||||
\(801\) | 2.58398 | + | 0.940492i | 0.0913005 | + | 0.0332307i | ||||
\(802\) | −0.327120 | − | 0.717956i | −0.0115510 | − | 0.0253519i | ||||
\(803\) | 39.2990 | − | 6.92947i | 1.38683 | − | 0.244536i | ||||
\(804\) | 0.104726 | − | 5.94340i | 0.00369339 | − | 0.209608i | ||||
\(805\) | −41.4679 | − | 23.9415i | −1.46155 | − | 0.843826i | ||||
\(806\) | −6.61579 | + | 13.8673i | −0.233031 | + | 0.488456i | ||||
\(807\) | 3.06493 | + | 2.57178i | 0.107891 | + | 0.0905310i | ||||
\(808\) | −19.2704 | − | 9.61381i | −0.677929 | − | 0.338213i | ||||
\(809\) | 1.37089 | + | 2.37445i | 0.0481979 | + | 0.0834813i | 0.889118 | − | 0.457678i | \(-0.151319\pi\) |
−0.840920 | + | 0.541160i | \(0.817986\pi\) | |||||||
\(810\) | 3.89272 | − | 0.306040i | 0.136776 | − | 0.0107532i | ||||
\(811\) | −6.41774 | − | 17.6326i | −0.225357 | − | 0.619164i | 0.774554 | − | 0.632508i | \(-0.217975\pi\) |
−0.999911 | + | 0.0133442i | \(0.995752\pi\) | |||||||
\(812\) | 7.45863 | − | 38.3375i | 0.261747 | − | 1.34538i | ||||
\(813\) | 0.842375 | + | 0.148533i | 0.0295434 | + | 0.00520930i | ||||
\(814\) | 68.3395 | − | 17.6678i | 2.39530 | − | 0.619255i | ||||
\(815\) | −15.1527 | + | 12.7146i | −0.530775 | + | 0.445373i | ||||
\(816\) | 7.55799 | − | 8.38842i | 0.264583 | − | 0.293653i | ||||
\(817\) | 10.9947 | + | 41.8094i | 0.384656 | + | 1.46272i | ||||
\(818\) | −7.87946 | + | 5.41445i | −0.275499 | + | 0.189312i | ||||
\(819\) | −4.12504 | − | 4.91603i | −0.144141 | − | 0.171780i | ||||
\(820\) | 4.05780 | + | 3.52857i | 0.141704 | + | 0.123223i | ||||
\(821\) | 22.9765 | + | 4.05138i | 0.801886 | + | 0.141394i | 0.559548 | − | 0.828798i | \(-0.310975\pi\) |
0.242338 | + | 0.970192i | \(0.422086\pi\) | |||||||
\(822\) | 19.2990 | − | 18.9619i | 0.673128 | − | 0.661372i | ||||
\(823\) | 19.4943 | − | 7.09535i | 0.679529 | − | 0.247328i | 0.0208839 | − | 0.999782i | \(-0.493352\pi\) |
0.658645 | + | 0.752453i | \(0.271130\pi\) | |||||||
\(824\) | −44.3584 | − | 13.1515i | −1.54530 | − | 0.458155i | ||||
\(825\) | −7.98627 | − | 13.8326i | −0.278046 | − | 0.481590i | ||||
\(826\) | 2.90743 | − | 30.1687i | 0.101163 | − | 1.04970i | ||||
\(827\) | −22.2099 | + | 26.4688i | −0.772315 | + | 0.920409i | −0.998559 | − | 0.0536612i | \(-0.982911\pi\) |
0.226244 | + | 0.974071i | \(0.427355\pi\) | |||||||
\(828\) | 12.2796 | − | 1.94281i | 0.426745 | − | 0.0675173i | ||||
\(829\) | 34.8350 | + | 20.1120i | 1.20987 | + | 0.698518i | 0.962731 | − | 0.270462i | \(-0.0871765\pi\) |
0.247138 | + | 0.968980i | \(0.420510\pi\) | |||||||
\(830\) | −32.1878 | + | 45.1177i | −1.11725 | + | 1.56606i | ||||
\(831\) | 0.557120 | + | 3.15959i | 0.0193263 | + | 0.109605i | ||||
\(832\) | −17.6007 | + | 5.37153i | −0.610195 | + | 0.186224i | ||||
\(833\) | −2.07780 | − | 0.756257i | −0.0719915 | − | 0.0262028i | ||||
\(834\) | −6.89272 | + | 24.8464i | −0.238675 | + | 0.860359i | ||||
\(835\) | − | 22.1506i | − | 0.766555i | ||||||
\(836\) | 3.44748 | + | 52.9645i | 0.119234 | + | 1.83182i | ||||
\(837\) | − | 4.72312i | − | 0.163255i | ||||||
\(838\) | 21.2169 | + | 5.88585i | 0.732925 | + | 0.203323i | ||||
\(839\) | 18.2914 | + | 6.65754i | 0.631491 | + | 0.229844i | 0.637880 | − | 0.770136i | \(-0.279812\pi\) |
−0.00638915 | + | 0.999980i | \(0.502034\pi\) | |||||||
\(840\) | −21.7470 | + | 1.32469i | −0.750344 | + | 0.0457061i | ||||
\(841\) | −3.47218 | − | 19.6917i | −0.119730 | − | 0.679025i | ||||
\(842\) | 1.60583 | + | 1.14563i | 0.0553404 | + | 0.0394809i | ||||
\(843\) | 15.5429 | + | 8.97368i | 0.535325 | + | 0.309070i | ||||
\(844\) | 4.58383 | + | 28.9722i | 0.157782 | + | 0.997263i | ||||
\(845\) | −13.6814 | + | 16.3048i | −0.470653 | + | 0.560903i | ||||
\(846\) | −3.50726 | − | 0.338004i | −0.120582 | − | 0.0116208i | ||||
\(847\) | 36.3623 | + | 62.9814i | 1.24942 | + | 2.16407i | ||||
\(848\) | 3.66732 | + | 11.2996i | 0.125936 | + | 0.388029i | ||||
\(849\) | 12.1892 | − | 4.43650i | 0.418332 | − | 0.152260i | ||||
\(850\) | 7.33996 | + | 7.47044i | 0.251759 | + | 0.256234i | ||||
\(851\) | −50.1860 | − | 8.84915i | −1.72036 | − | 0.303345i | ||||
\(852\) | −7.43043 | − | 6.46134i | −0.254562 | − | 0.221362i | ||||
\(853\) | −10.9941 | − | 13.1023i | −0.376431 | − | 0.448613i | 0.544253 | − | 0.838921i | \(-0.316813\pi\) |
−0.920684 | + | 0.390308i | \(0.872369\pi\) | |||||||
\(854\) | −13.1058 | − | 19.0725i | −0.448472 | − | 0.652647i | ||||
\(855\) | 5.13695 | − | 10.8838i | 0.175680 | − | 0.372219i | ||||
\(856\) | −30.2474 | + | 7.25382i | −1.03383 | + | 0.247930i | ||||
\(857\) | 32.1757 | − | 26.9987i | 1.09910 | − | 0.922256i | 0.101738 | − | 0.994811i | \(-0.467560\pi\) |
0.997364 | + | 0.0725548i | \(0.0231152\pi\) | |||||||
\(858\) | −4.95736 | − | 19.1752i | −0.169241 | − | 0.654631i | ||||
\(859\) | −32.9685 | − | 5.81323i | −1.12487 | − | 0.198345i | −0.419892 | − | 0.907574i | \(-0.637932\pi\) |
−0.704978 | + | 0.709229i | \(0.749043\pi\) | |||||||
\(860\) | −53.7596 | − | 10.4590i | −1.83319 | − | 0.356650i | ||||
\(861\) | 0.929181 | + | 2.55290i | 0.0316664 | + | 0.0870028i | ||||
\(862\) | 1.36230 | + | 17.3280i | 0.0464001 | + | 0.590193i | ||||
\(863\) | −11.7378 | − | 20.3304i | −0.399558 | − | 0.692055i | 0.594113 | − | 0.804381i | \(-0.297503\pi\) |
−0.993671 | + | 0.112327i | \(0.964170\pi\) | |||||||
\(864\) | 4.17225 | − | 3.81999i | 0.141943 | − | 0.129959i | ||||
\(865\) | 9.18517 | + | 7.70727i | 0.312305 | + | 0.262055i | ||||
\(866\) | −34.5272 | − | 16.4721i | −1.17328 | − | 0.559745i | ||||
\(867\) | 7.82190 | + | 4.51598i | 0.265646 | + | 0.153371i | ||||
\(868\) | −0.464294 | + | 26.3496i | −0.0157592 | + | 0.894364i | ||||
\(869\) | 11.1924 | − | 1.97352i | 0.379676 | − | 0.0669472i | ||||
\(870\) | −24.8719 | + | 11.3323i | −0.843237 | + | 0.384201i | ||||
\(871\) | 6.42446 | + | 2.33831i | 0.217684 | + | 0.0792307i | ||||
\(872\) | 4.59147 | − | 6.20180i | 0.155487 | − | 0.210020i | ||||
\(873\) | 2.00414 | 0.0678299 | ||||||||
\(874\) | 13.5893 | − | 35.8284i | 0.459664 | − | 1.21191i | ||||
\(875\) | 18.3063i | 0.618866i | ||||||||
\(876\) | −12.3953 | + | 4.26576i | −0.418799 | + | 0.144127i | ||||
\(877\) | −16.2272 | + | 44.5839i | −0.547954 | + | 1.50549i | 0.288514 | + | 0.957476i | \(0.406839\pi\) |
−0.836468 | + | 0.548016i | \(0.815383\pi\) | |||||||
\(878\) | 8.87386 | + | 19.4762i | 0.299478 | + | 0.657289i | ||||
\(879\) | −2.09369 | − | 11.8739i | −0.0706185 | − | 0.400497i | ||||
\(880\) | −62.3363 | − | 25.2095i | −2.10136 | − | 0.849811i | ||||
\(881\) | 1.58829 | − | 2.75099i | 0.0535107 | − | 0.0926833i | −0.838029 | − | 0.545625i | \(-0.816292\pi\) |
0.891540 | + | 0.452942i | \(0.149626\pi\) | |||||||
\(882\) | −0.999834 | − | 0.476998i | −0.0336662 | − | 0.0160614i | ||||
\(883\) | 16.5260 | − | 19.6949i | 0.556143 | − | 0.662785i | −0.412583 | − | 0.910920i | \(-0.635373\pi\) |
0.968725 | + | 0.248135i | \(0.0798176\pi\) | |||||||
\(884\) | 6.29398 | + | 11.3591i | 0.211690 | + | 0.382047i | ||||
\(885\) | −18.3685 | + | 10.6051i | −0.617451 | + | 0.356485i | ||||
\(886\) | 6.70331 | − | 0.527004i | 0.225202 | − | 0.0177051i | ||||
\(887\) | −53.6611 | + | 19.5310i | −1.80176 | + | 0.655788i | −0.803603 | + | 0.595166i | \(0.797086\pi\) |
−0.998161 | + | 0.0606228i | \(0.980691\pi\) | |||||||
\(888\) | −21.2667 | + | 9.24073i | −0.713662 | + | 0.310099i | ||||
\(889\) | −9.22687 | + | 52.3282i | −0.309459 | + | 1.75503i | ||||
\(890\) | 2.68755 | + | 10.3955i | 0.0900867 | + | 0.348458i | ||||
\(891\) | 3.91349 | + | 4.66391i | 0.131107 | + | 0.156247i | ||||
\(892\) | 11.8446 | − | 30.8410i | 0.396586 | − | 1.03263i | ||||
\(893\) | −6.27044 | + | 8.86709i | −0.209832 | + | 0.296726i | ||||
\(894\) | −11.6214 | + | 7.98578i | −0.388679 | + | 0.267085i | ||||
\(895\) | 32.2326 | − | 27.0463i | 1.07742 | − | 0.904060i | ||||
\(896\) | −23.6519 | + | 20.9010i | −0.790154 | + | 0.698255i | ||||
\(897\) | −2.48296 | + | 14.0816i | −0.0829037 | + | 0.470170i | ||||
\(898\) | 31.3868 | + | 31.9448i | 1.04739 | + | 1.06601i | ||||
\(899\) | 11.3073 | + | 31.0666i | 0.377120 | + | 1.03613i | ||||
\(900\) | 3.30134 | + | 4.07820i | 0.110045 | + | 0.135940i | ||||
\(901\) | 7.26032 | − | 4.19175i | 0.241876 | − | 0.139647i | ||||
\(902\) | −0.804310 | + | 8.34584i | −0.0267806 | + | 0.277886i | ||||
\(903\) | −21.1960 | − | 17.7855i | −0.705358 | − | 0.591866i | ||||
\(904\) | 22.3418 | − | 21.1911i | 0.743078 | − | 0.704805i | ||||
\(905\) | 10.5480 | − | 18.2696i | 0.350626 | − | 0.607303i | ||||
\(906\) | −21.7306 | − | 15.5030i | −0.721952 | − | 0.515054i | ||||
\(907\) | 30.4754 | − | 5.37364i | 1.01192 | − | 0.178429i | 0.356981 | − | 0.934111i | \(-0.383806\pi\) |
0.654938 | + | 0.755683i | \(0.272695\pi\) | |||||||
\(908\) | 15.3181 | − | 25.4840i | 0.508348 | − | 0.845717i | ||||
\(909\) | −2.60411 | + | 7.15473i | −0.0863728 | + | 0.237307i | ||||
\(910\) | 6.69855 | − | 24.1464i | 0.222055 | − | 0.800446i | ||||
\(911\) | −45.2894 | −1.50051 | −0.750253 | − | 0.661151i | \(-0.770068\pi\) | ||||
−0.750253 | + | 0.661151i | \(0.770068\pi\) | |||||||
\(912\) | −3.83751 | − | 17.0080i | −0.127073 | − | 0.563193i | ||||
\(913\) | −86.4154 | −2.85993 | ||||||||
\(914\) | −8.98985 | + | 32.4060i | −0.297358 | + | 1.07189i | ||||
\(915\) | −5.53885 | + | 15.2179i | −0.183109 | + | 0.503087i | ||||
\(916\) | −1.70285 | + | 2.83296i | −0.0562638 | + | 0.0936036i | ||||
\(917\) | 43.4723 | − | 7.66534i | 1.43558 | − | 0.253132i | ||||
\(918\) | −3.24976 | − | 2.31844i | −0.107258 | − | 0.0765198i | ||||
\(919\) | −24.8173 | + | 42.9847i | −0.818646 | + | 1.41794i | 0.0880345 | + | 0.996117i | \(0.471941\pi\) |
−0.906680 | + | 0.421819i | \(0.861392\pi\) | |||||||
\(920\) | 33.4074 | + | 35.2215i | 1.10141 | + | 1.16122i | ||||
\(921\) | 23.3192 | + | 19.5671i | 0.768393 | + | 0.644758i | ||||
\(922\) | −1.70245 | + | 17.6653i | −0.0560671 | + | 0.581775i | ||||
\(923\) | 9.80789 | − | 5.66259i | 0.322831 | − | 0.186386i | ||||
\(924\) | −21.3743 | − | 26.4040i | −0.703163 | − | 0.868628i | ||||
\(925\) | −7.35596 | − | 20.2103i | −0.241862 | − | 0.664511i | ||||
\(926\) | 5.56745 | + | 5.66642i | 0.182958 | + | 0.186210i | ||||
\(927\) | −2.84051 | + | 16.1093i | −0.0932945 | + | 0.529099i | ||||
\(928\) | −18.2980 | + | 35.1147i | −0.600661 | + | 1.15270i | ||||
\(929\) | 31.9460 | − | 26.8058i | 1.04811 | − | 0.879471i | 0.0552191 | − | 0.998474i | \(-0.482414\pi\) |
0.992894 | + | 0.119003i | \(0.0379698\pi\) | |||||||
\(930\) | 15.1998 | − | 10.4447i | 0.498423 | − | 0.342496i | ||||
\(931\) | −2.80601 | + | 1.94541i | −0.0919634 | + | 0.0637584i | ||||
\(932\) | 7.44165 | − | 19.3766i | 0.243759 | − | 0.634701i | ||||
\(933\) | 9.77697 | + | 11.6517i | 0.320084 | + | 0.381461i | ||||
\(934\) | −5.75974 | − | 22.2789i | −0.188464 | − | 0.728986i | ||||
\(935\) | −8.23985 | + | 46.7305i | −0.269472 | + | 1.52825i | ||||
\(936\) | 2.59284 | + | 5.96716i | 0.0847495 | + | 0.195043i | ||||
\(937\) | 46.9563 | − | 17.0907i | 1.53400 | − | 0.558329i | 0.569400 | − | 0.822061i | \(-0.307176\pi\) |
0.964596 | + | 0.263732i | \(0.0849533\pi\) | |||||||
\(938\) | 11.6905 | − | 0.919087i | 0.381707 | − | 0.0300093i | ||||
\(939\) | 12.1670 | − | 7.02463i | 0.397056 | − | 0.229240i | ||||
\(940\) | −6.66820 | − | 12.0344i | −0.217493 | − | 0.392520i | ||||
\(941\) | 5.05759 | − | 6.02740i | 0.164873 | − | 0.196487i | −0.677282 | − | 0.735723i | \(-0.736842\pi\) |
0.842155 | + | 0.539236i | \(0.181287\pi\) | |||||||
\(942\) | −21.8504 | − | 10.4243i | −0.711926 | − | 0.339644i | ||||
\(943\) | 3.02662 | − | 5.24226i | 0.0985603 | − | 0.170711i | ||||
\(944\) | −11.5201 | + | 28.4862i | −0.374948 | + | 0.927146i | ||||
\(945\) | 1.33761 | + | 7.58596i | 0.0435125 | + | 0.246771i | ||||
\(946\) | −35.4060 | − | 77.7083i | −1.15115 | − | 2.52652i | ||||
\(947\) | −19.2221 | + | 52.8122i | −0.624633 | + | 1.71617i | 0.0707190 | + | 0.997496i | \(0.477471\pi\) |
−0.695352 | + | 0.718669i | \(0.744752\pi\) | |||||||
\(948\) | −3.53021 | + | 1.21490i | −0.114656 | + | 0.0394580i | ||||
\(949\) | − | 15.0769i | − | 0.489416i | ||||||
\(950\) | 15.9629 | − | 2.59368i | 0.517904 | − | 0.0841502i | ||||
\(951\) | −7.95876 | −0.258081 | ||||||||
\(952\) | 17.9020 | + | 13.2537i | 0.580208 | + | 0.429554i | ||||
\(953\) | −2.24194 | − | 0.815998i | −0.0726234 | − | 0.0264328i | 0.305453 | − | 0.952207i | \(-0.401192\pi\) |
−0.378076 | + | 0.925774i | \(0.623414\pi\) | |||||||
\(954\) | 3.82211 | − | 1.74146i | 0.123746 | − | 0.0563817i | ||||
\(955\) | −74.3132 | + | 13.1034i | −2.40472 | + | 0.424017i | ||||
\(956\) | 0.554342 | − | 31.4601i | 0.0179287 | − | 1.01749i | ||||
\(957\) | −36.9067 | − | 21.3081i | −1.19302 | − | 0.688793i | ||||
\(958\) | −34.2262 | − | 16.3285i | −1.10580 | − | 0.527551i | ||||
\(959\) | 40.8863 | + | 34.3077i | 1.32029 | + | 1.10785i | ||||
\(960\) | 21.5199 | + | 4.97951i | 0.694553 | + | 0.160713i | ||||
\(961\) | 4.34606 | + | 7.52760i | 0.140196 | + | 0.242826i | ||||
\(962\) | −2.09021 | − | 26.5867i | −0.0673910 | − | 0.857190i | ||||
\(963\) | 3.76129 | + | 10.3341i | 0.121206 | + | 0.333011i | ||||
\(964\) | −38.2440 | − | 7.44045i | −1.23176 | − | 0.239641i | ||||
\(965\) | 10.2515 | + | 1.80761i | 0.330006 | + | 0.0581890i | ||||
\(966\) | 6.13875 | + | 23.7449i | 0.197511 | + | 0.763979i | ||||
\(967\) | 26.9086 | − | 22.5790i | 0.865323 | − | 0.726092i | −0.0977850 | − | 0.995208i | \(-0.531176\pi\) |
0.963108 | + | 0.269115i | \(0.0867313\pi\) | |||||||
\(968\) | −17.1941 | − | 71.6970i | −0.552640 | − | 2.30443i | ||||
\(969\) | −11.1754 | + | 5.14807i | −0.359007 | + | 0.165380i | ||||
\(970\) | 4.43196 | + | 6.44968i | 0.142302 | + | 0.207087i | ||||
\(971\) | −10.3661 | − | 12.3538i | −0.332663 | − | 0.396453i | 0.573621 | − | 0.819121i | \(-0.305538\pi\) |
−0.906285 | + | 0.422668i | \(0.861094\pi\) | |||||||
\(972\) | −1.50920 | − | 1.31237i | −0.0484077 | − | 0.0420942i | ||||
\(973\) | −50.0935 | − | 8.83283i | −1.60592 | − | 0.283168i | ||||
\(974\) | −16.7827 | − | 17.0810i | −0.537752 | − | 0.547311i | ||||
\(975\) | −5.67077 | + | 2.06399i | −0.181610 | + | 0.0661006i | ||||
\(976\) | 7.24254 | + | 22.3154i | 0.231828 | + | 0.714297i | ||||
\(977\) | 13.4403 | + | 23.2792i | 0.429992 | + | 0.744769i | 0.996872 | − | 0.0790319i | \(-0.0251829\pi\) |
−0.566880 | + | 0.823801i | \(0.691850\pi\) | |||||||
\(978\) | 10.0848 | + | 0.971895i | 0.322476 | + | 0.0310778i | ||||
\(979\) | −10.7614 | + | 12.8249i | −0.343935 | + | 0.409885i | ||||
\(980\) | −0.675970 | − | 4.27248i | −0.0215931 | − | 0.136479i | ||||
\(981\) | −2.36268 | − | 1.36409i | −0.0754345 | − | 0.0435521i | ||||
\(982\) | 36.5987 | + | 26.1101i | 1.16791 | + | 0.833208i | ||||
\(983\) | 2.80181 | + | 15.8898i | 0.0893638 | + | 0.506807i | 0.996329 | + | 0.0856026i | \(0.0272815\pi\) |
−0.906966 | + | 0.421205i | \(0.861607\pi\) | |||||||
\(984\) | −0.167464 | − | 2.74920i | −0.00533855 | − | 0.0876414i | ||||
\(985\) | −52.8696 | − | 19.2430i | −1.68457 | − | 0.613132i | ||||
\(986\) | 26.9259 | + | 7.46960i | 0.857494 | + | 0.237881i | ||||
\(987\) | − | 6.95093i | − | 0.221251i | ||||||
\(988\) | 19.9331 | + | 2.19213i | 0.634156 | + | 0.0697409i | ||||
\(989\) | 61.6508i | 1.96038i | ||||||||
\(990\) | −6.35501 | + | 22.9081i | −0.201976 | + | 0.728066i | ||||
\(991\) | −35.8448 | − | 13.0464i | −1.13865 | − | 0.414434i | −0.297223 | − | 0.954808i | \(-0.596061\pi\) |
−0.841425 | + | 0.540374i | \(0.818283\pi\) | |||||||
\(992\) | 8.04480 | − | 25.4781i | 0.255423 | − | 0.808930i | ||||
\(993\) | 4.08122 | + | 23.1458i | 0.129514 | + | 0.734508i | ||||
\(994\) | 11.2815 | − | 15.8134i | 0.357829 | − | 0.501570i | ||||
\(995\) | −2.78493 | − | 1.60788i | −0.0882881 | − | 0.0509732i | ||||
\(996\) | 28.0386 | − | 4.43612i | 0.888436 | − | 0.140564i | ||||
\(997\) | −9.49702 | + | 11.3181i | −0.300774 | + | 0.358448i | −0.895171 | − | 0.445724i | \(-0.852946\pi\) |
0.594397 | + | 0.804172i | \(0.297391\pi\) | |||||||
\(998\) | −3.21612 | + | 33.3718i | −0.101805 | + | 1.05637i | ||||
\(999\) | 4.09902 | + | 7.09970i | 0.129687 | + | 0.224625i |
(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 | 456.2.bk.a.253.17 | yes | 240 | |
8.5 | even | 2 | inner | 456.2.bk.a.253.3 | ✓ | 240 | |
19.16 | even | 9 | inner | 456.2.bk.a.301.3 | yes | 240 | |
152.149 | even | 18 | inner | 456.2.bk.a.301.17 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
456.2.bk.a.253.3 | ✓ | 240 | 8.5 | even | 2 | inner | |
456.2.bk.a.253.17 | yes | 240 | 1.1 | even | 1 | trivial | |
456.2.bk.a.301.3 | yes | 240 | 19.16 | even | 9 | inner | |
456.2.bk.a.301.17 | yes | 240 | 152.149 | even | 18 | inner |