Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [882,2,Mod(193,882)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(882, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([14, 22]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("882.193");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 882 = 2 \cdot 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 882.y (of order \(21\), degree \(12\), 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: | \(7.04280545828\) |
Analytic rank: | \(0\) |
Dimension: | \(336\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 583.25 | ||
Character | \(\chi\) | \(=\) | 882.583 |
Dual form | 882.2.y.a.823.25 |
$q$-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 \(\left(\mathbb{Z}/882\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(785\) |
\(\chi(n)\) | \(e\left(\frac{4}{21}\right)\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.365341 | + | 0.930874i | −0.258335 | + | 0.658227i | ||||
\(3\) | 1.60482 | + | 0.651566i | 0.926546 | + | 0.376182i | ||||
\(4\) | −0.733052 | − | 0.680173i | −0.366526 | − | 0.340086i | ||||
\(5\) | 3.48464 | − | 1.67811i | 1.55838 | − | 0.750476i | 0.561355 | − | 0.827575i | \(-0.310280\pi\) |
0.997023 | + | 0.0770991i | \(0.0245658\pi\) | |||||||
\(6\) | −1.19283 | + | 1.25585i | −0.486972 | + | 0.512697i | ||||
\(7\) | −0.638775 | + | 2.56748i | −0.241434 | + | 0.970417i | ||||
\(8\) | 0.900969 | − | 0.433884i | 0.318541 | − | 0.153401i | ||||
\(9\) | 2.15092 | + | 2.09130i | 0.716974 | + | 0.697099i | ||||
\(10\) | 0.289031 | + | 3.85685i | 0.0913995 | + | 1.21964i | ||||
\(11\) | −0.807072 | − | 1.01204i | −0.243341 | − | 0.305140i | 0.645130 | − | 0.764073i | \(-0.276803\pi\) |
−0.888471 | + | 0.458933i | \(0.848232\pi\) | |||||||
\(12\) | −0.733242 | − | 1.56919i | −0.211669 | − | 0.452986i | ||||
\(13\) | −1.91249 | + | 4.87295i | −0.530430 | + | 1.35151i | 0.375002 | + | 0.927024i | \(0.377642\pi\) |
−0.905433 | + | 0.424490i | \(0.860453\pi\) | |||||||
\(14\) | −2.15663 | − | 1.53263i | −0.576384 | − | 0.409611i | ||||
\(15\) | 6.68564 | − | 0.422606i | 1.72622 | − | 0.109116i | ||||
\(16\) | 0.0747301 | + | 0.997204i | 0.0186825 | + | 0.249301i | ||||
\(17\) | −3.80731 | + | 3.53267i | −0.923409 | + | 0.856798i | −0.990012 | − | 0.140981i | \(-0.954974\pi\) |
0.0666035 | + | 0.997780i | \(0.478784\pi\) | |||||||
\(18\) | −2.73256 | + | 1.23820i | −0.644069 | + | 0.291847i | ||||
\(19\) | −1.33392 | + | 2.31042i | −0.306022 | + | 0.530046i | −0.977488 | − | 0.210989i | \(-0.932331\pi\) |
0.671466 | + | 0.741035i | \(0.265665\pi\) | |||||||
\(20\) | −3.69583 | − | 1.14001i | −0.826413 | − | 0.254915i | ||||
\(21\) | −2.69801 | + | 3.70415i | −0.588753 | + | 0.808313i | ||||
\(22\) | 1.23693 | − | 0.381544i | 0.263715 | − | 0.0813454i | ||||
\(23\) | 1.31637 | − | 5.76738i | 0.274481 | − | 1.20258i | −0.630179 | − | 0.776449i | \(-0.717019\pi\) |
0.904661 | − | 0.426132i | \(-0.140124\pi\) | |||||||
\(24\) | 1.72860 | − | 0.109266i | 0.352849 | − | 0.0223039i | ||||
\(25\) | 6.20921 | − | 7.78610i | 1.24184 | − | 1.55722i | ||||
\(26\) | −3.83739 | − | 3.56058i | −0.752575 | − | 0.698287i | ||||
\(27\) | 2.08924 | + | 4.75764i | 0.402074 | + | 0.915607i | ||||
\(28\) | 2.21459 | − | 1.44762i | 0.418518 | − | 0.273575i | ||||
\(29\) | 6.91678 | + | 2.13354i | 1.28441 | + | 0.396189i | 0.860471 | − | 0.509500i | \(-0.170170\pi\) |
0.423943 | + | 0.905689i | \(0.360646\pi\) | |||||||
\(30\) | −2.04915 | + | 6.37788i | −0.374121 | + | 1.16444i | ||||
\(31\) | 1.21373 | − | 2.10225i | 0.217993 | − | 0.377575i | −0.736201 | − | 0.676762i | \(-0.763382\pi\) |
0.954194 | + | 0.299188i | \(0.0967157\pi\) | |||||||
\(32\) | −0.955573 | − | 0.294755i | −0.168923 | − | 0.0521058i | ||||
\(33\) | −0.635800 | − | 2.15000i | −0.110679 | − | 0.374267i | ||||
\(34\) | −1.89750 | − | 4.83476i | −0.325419 | − | 0.829154i | ||||
\(35\) | 2.08263 | + | 10.0187i | 0.352028 | + | 1.69347i | ||||
\(36\) | −0.154294 | − | 2.99603i | −0.0257157 | − | 0.499338i | ||||
\(37\) | −0.131441 | − | 0.0405443i | −0.0216088 | − | 0.00666543i | 0.283932 | − | 0.958844i | \(-0.408361\pi\) |
−0.305541 | + | 0.952179i | \(0.598837\pi\) | |||||||
\(38\) | −1.66337 | − | 2.08580i | −0.269834 | − | 0.338361i | ||||
\(39\) | −6.24427 | + | 6.57412i | −0.999883 | + | 1.05270i | ||||
\(40\) | 2.41145 | − | 3.02386i | 0.381283 | − | 0.478114i | ||||
\(41\) | 4.08430 | + | 2.78463i | 0.637861 | + | 0.434886i | 0.838592 | − | 0.544760i | \(-0.183379\pi\) |
−0.200731 | + | 0.979646i | \(0.564332\pi\) | |||||||
\(42\) | −2.46241 | − | 3.86478i | −0.379958 | − | 0.596349i | ||||
\(43\) | 5.37327 | − | 3.66343i | 0.819416 | − | 0.558668i | −0.0794772 | − | 0.996837i | \(-0.525325\pi\) |
0.898893 | + | 0.438169i | \(0.144373\pi\) | |||||||
\(44\) | −0.0967338 | + | 1.29082i | −0.0145832 | + | 0.194599i | ||||
\(45\) | 11.0046 | + | 3.67793i | 1.64047 | + | 0.548273i | ||||
\(46\) | 4.88778 | + | 3.33243i | 0.720664 | + | 0.491340i | ||||
\(47\) | 1.44636 | − | 3.68528i | 0.210974 | − | 0.537553i | −0.785740 | − | 0.618557i | \(-0.787718\pi\) |
0.996714 | + | 0.0810043i | \(0.0258127\pi\) | |||||||
\(48\) | −0.529815 | + | 1.64903i | −0.0764723 | + | 0.238017i | ||||
\(49\) | −6.18393 | − | 3.28009i | −0.883419 | − | 0.468584i | ||||
\(50\) | 4.97940 | + | 8.62457i | 0.704193 | + | 1.21970i | ||||
\(51\) | −8.41183 | + | 3.18860i | −1.17789 | + | 0.446493i | ||||
\(52\) | 4.71641 | − | 2.27130i | 0.654048 | − | 0.314973i | ||||
\(53\) | −4.90193 | + | 1.51205i | −0.673332 | + | 0.207695i | −0.612522 | − | 0.790454i | \(-0.709845\pi\) |
−0.0608106 | + | 0.998149i | \(0.519369\pi\) | |||||||
\(54\) | −5.19204 | + | 0.206655i | −0.706547 | + | 0.0281221i | ||||
\(55\) | −4.51067 | − | 2.17222i | −0.608219 | − | 0.292903i | ||||
\(56\) | 0.538472 | + | 2.59038i | 0.0719564 | + | 0.346154i | ||||
\(57\) | −3.64609 | + | 2.83867i | −0.482937 | + | 0.375992i | ||||
\(58\) | −4.51304 | + | 5.65918i | −0.592592 | + | 0.743086i | ||||
\(59\) | 8.38128 | − | 5.71426i | 1.09115 | − | 0.743933i | 0.122526 | − | 0.992465i | \(-0.460901\pi\) |
0.968624 | + | 0.248532i | \(0.0799482\pi\) | |||||||
\(60\) | −5.18837 | − | 4.23760i | −0.669815 | − | 0.547072i | ||||
\(61\) | 6.61703 | − | 6.13971i | 0.847224 | − | 0.786109i | −0.131494 | − | 0.991317i | \(-0.541977\pi\) |
0.978718 | + | 0.205208i | \(0.0657870\pi\) | |||||||
\(62\) | 1.51350 | + | 1.89787i | 0.192215 | + | 0.241030i | ||||
\(63\) | −6.74333 | + | 4.18659i | −0.849579 | + | 0.527461i | ||||
\(64\) | 0.623490 | − | 0.781831i | 0.0779362 | − | 0.0977289i | ||||
\(65\) | 1.51302 | + | 20.1899i | 0.187667 | + | 2.50425i | ||||
\(66\) | 2.23366 | + | 0.193634i | 0.274945 | + | 0.0238347i | ||||
\(67\) | 3.14270 | − | 5.44332i | 0.383942 | − | 0.665007i | −0.607680 | − | 0.794182i | \(-0.707900\pi\) |
0.991622 | + | 0.129175i | \(0.0412329\pi\) | |||||||
\(68\) | 5.19378 | 0.629839 | ||||||||
\(69\) | 5.87037 | − | 8.39793i | 0.706709 | − | 1.01099i | ||||
\(70\) | −10.0870 | − | 1.72158i | −1.20563 | − | 0.205768i | ||||
\(71\) | 1.44429 | − | 6.32783i | 0.171405 | − | 0.750976i | −0.814016 | − | 0.580843i | \(-0.802723\pi\) |
0.985421 | − | 0.170133i | \(-0.0544197\pi\) | |||||||
\(72\) | 2.84530 | + | 0.950944i | 0.335321 | + | 0.112070i | ||||
\(73\) | −14.8210 | − | 2.23391i | −1.73467 | − | 0.261459i | −0.795756 | − | 0.605617i | \(-0.792926\pi\) |
−0.938912 | + | 0.344158i | \(0.888164\pi\) | |||||||
\(74\) | 0.0857625 | − | 0.107543i | 0.00996968 | − | 0.0125016i | ||||
\(75\) | 15.0378 | − | 8.44961i | 1.73642 | − | 0.975677i | ||||
\(76\) | 2.54931 | − | 0.786359i | 0.292426 | − | 0.0902016i | ||||
\(77\) | 3.11392 | − | 1.42568i | 0.354864 | − | 0.162471i | ||||
\(78\) | −3.83839 | − | 8.21442i | −0.434612 | − | 0.930100i | ||||
\(79\) | −7.23641 | − | 12.5338i | −0.814159 | − | 1.41017i | −0.909930 | − | 0.414762i | \(-0.863865\pi\) |
0.0957708 | − | 0.995403i | \(-0.469468\pi\) | |||||||
\(80\) | 1.93383 | + | 3.34949i | 0.216209 | + | 0.374485i | ||||
\(81\) | 0.252942 | + | 8.99644i | 0.0281046 | + | 0.999605i | ||||
\(82\) | −4.08430 | + | 2.78463i | −0.451036 | + | 0.307511i | ||||
\(83\) | −4.78162 | − | 12.1834i | −0.524851 | − | 1.33730i | −0.910063 | − | 0.414470i | \(-0.863967\pi\) |
0.385212 | − | 0.922828i | \(-0.374128\pi\) | |||||||
\(84\) | 4.49724 | − | 0.880227i | 0.490690 | − | 0.0960407i | ||||
\(85\) | −7.33889 | + | 18.6992i | −0.796014 | + | 2.02821i | ||||
\(86\) | 1.44712 | + | 6.34024i | 0.156047 | + | 0.683685i | ||||
\(87\) | 9.71007 | + | 7.93070i | 1.04103 | + | 0.850260i | ||||
\(88\) | −1.16625 | − | 0.561638i | −0.124323 | − | 0.0598708i | ||||
\(89\) | 0.493226 | + | 1.25672i | 0.0522819 | + | 0.133212i | 0.954629 | − | 0.297799i | \(-0.0962524\pi\) |
−0.902347 | + | 0.431011i | \(0.858157\pi\) | |||||||
\(90\) | −7.44413 | + | 8.90023i | −0.784680 | + | 0.938166i | ||||
\(91\) | −11.2896 | − | 8.02301i | −1.18347 | − | 0.841040i | ||||
\(92\) | −4.88778 | + | 3.33243i | −0.509586 | + | 0.347430i | ||||
\(93\) | 3.31758 | − | 2.58291i | 0.344017 | − | 0.267835i | ||||
\(94\) | 2.90211 | + | 2.69277i | 0.299330 | + | 0.277738i | ||||
\(95\) | −0.771087 | + | 10.2894i | −0.0791118 | + | 1.05567i | ||||
\(96\) | −1.34147 | − | 1.09565i | −0.136914 | − | 0.111824i | ||||
\(97\) | −5.41140 | + | 9.37281i | −0.549444 | + | 0.951665i | 0.448869 | + | 0.893598i | \(0.351827\pi\) |
−0.998313 | + | 0.0580673i | \(0.981506\pi\) | |||||||
\(98\) | 5.31259 | − | 4.55811i | 0.536653 | − | 0.460439i | ||||
\(99\) | 0.380520 | − | 3.86464i | 0.0382437 | − | 0.388411i | ||||
\(100\) | −9.84756 | + | 1.48428i | −0.984756 | + | 0.148428i | ||||
\(101\) | −12.0347 | + | 5.79561i | −1.19750 | + | 0.576684i | −0.922961 | − | 0.384892i | \(-0.874239\pi\) |
−0.274536 | + | 0.961577i | \(0.588524\pi\) | |||||||
\(102\) | 0.105006 | − | 8.99528i | 0.0103971 | − | 0.890666i | ||||
\(103\) | −4.83768 | + | 2.32970i | −0.476671 | + | 0.229553i | −0.656763 | − | 0.754097i | \(-0.728075\pi\) |
0.180092 | + | 0.983650i | \(0.442360\pi\) | |||||||
\(104\) | 0.391198 | + | 5.22018i | 0.0383602 | + | 0.511881i | ||||
\(105\) | −3.18559 | + | 17.4352i | −0.310881 | + | 1.70150i | ||||
\(106\) | 0.383353 | − | 5.11549i | 0.0372346 | − | 0.496861i | ||||
\(107\) | 5.75340 | + | 14.6594i | 0.556203 | + | 1.41718i | 0.881778 | + | 0.471665i | \(0.156347\pi\) |
−0.325575 | + | 0.945516i | \(0.605558\pi\) | |||||||
\(108\) | 1.70450 | − | 4.90863i | 0.164015 | − | 0.472334i | ||||
\(109\) | −2.50696 | + | 6.38763i | −0.240123 | + | 0.611824i | −0.999234 | − | 0.0391378i | \(-0.987539\pi\) |
0.759111 | + | 0.650962i | \(0.225634\pi\) | |||||||
\(110\) | 3.67000 | − | 3.40526i | 0.349921 | − | 0.324679i | ||||
\(111\) | −0.184523 | − | 0.150709i | −0.0175141 | − | 0.0143047i | ||||
\(112\) | −2.60804 | − | 0.445121i | −0.246437 | − | 0.0420600i | ||||
\(113\) | −11.3292 | − | 1.70760i | −1.06576 | − | 0.160637i | −0.407331 | − | 0.913280i | \(-0.633541\pi\) |
−0.658429 | + | 0.752643i | \(0.728779\pi\) | |||||||
\(114\) | −1.31038 | − | 4.43114i | −0.122728 | − | 0.415014i | ||||
\(115\) | −5.09126 | − | 22.3063i | −0.474762 | − | 2.08007i | ||||
\(116\) | −3.61918 | − | 6.26860i | −0.336032 | − | 0.582025i | ||||
\(117\) | −14.3044 | + | 6.48175i | −1.32244 | + | 0.599238i | ||||
\(118\) | 2.25723 | + | 9.88956i | 0.207795 | + | 0.910408i | ||||
\(119\) | −6.63805 | − | 12.0318i | −0.608509 | − | 1.10295i | ||||
\(120\) | 5.84019 | − | 3.28154i | 0.533134 | − | 0.299563i | ||||
\(121\) | 2.07488 | − | 9.09063i | 0.188625 | − | 0.826421i | ||||
\(122\) | 3.29782 | + | 8.40271i | 0.298571 | + | 0.760746i | ||||
\(123\) | 4.74022 | + | 7.13003i | 0.427411 | + | 0.642893i | ||||
\(124\) | −2.31962 | + | 0.715508i | −0.208308 | + | 0.0642545i | ||||
\(125\) | 4.26771 | − | 18.6981i | 0.381716 | − | 1.67241i | ||||
\(126\) | −1.43357 | − | 7.80672i | −0.127713 | − | 0.695478i | ||||
\(127\) | −2.81858 | − | 12.3490i | −0.250109 | − | 1.09580i | −0.931461 | − | 0.363842i | \(-0.881465\pi\) |
0.681352 | − | 0.731956i | \(-0.261392\pi\) | |||||||
\(128\) | 0.500000 | + | 0.866025i | 0.0441942 | + | 0.0765466i | ||||
\(129\) | 11.0101 | − | 2.37813i | 0.969387 | − | 0.209382i | ||||
\(130\) | −19.3470 | − | 5.96776i | −1.69684 | − | 0.523407i | ||||
\(131\) | −2.14227 | − | 1.03166i | −0.187171 | − | 0.0901370i | 0.337951 | − | 0.941164i | \(-0.390266\pi\) |
−0.525122 | + | 0.851027i | \(0.675980\pi\) | |||||||
\(132\) | −0.996298 | + | 2.00852i | −0.0867166 | + | 0.174819i | ||||
\(133\) | −5.07988 | − | 4.90065i | −0.440481 | − | 0.424940i | ||||
\(134\) | 3.91889 | + | 4.91413i | 0.338540 | + | 0.424516i | ||||
\(135\) | 15.2641 | + | 13.0727i | 1.31372 | + | 1.12512i | ||||
\(136\) | −1.89750 | + | 4.83476i | −0.162709 | + | 0.414577i | ||||
\(137\) | 6.02857 | + | 2.90321i | 0.515056 | + | 0.248038i | 0.673310 | − | 0.739361i | \(-0.264872\pi\) |
−0.158254 | + | 0.987398i | \(0.550586\pi\) | |||||||
\(138\) | 5.67273 | + | 8.53268i | 0.482895 | + | 0.726350i | ||||
\(139\) | 7.65708 | + | 5.22051i | 0.649465 | + | 0.442798i | 0.842721 | − | 0.538350i | \(-0.180952\pi\) |
−0.193256 | + | 0.981148i | \(0.561905\pi\) | |||||||
\(140\) | 5.28777 | − | 8.76077i | 0.446898 | − | 0.740420i | ||||
\(141\) | 4.72236 | − | 4.97182i | 0.397695 | − | 0.418703i | ||||
\(142\) | 5.36276 | + | 3.65626i | 0.450032 | + | 0.306827i | ||||
\(143\) | 6.47513 | − | 1.99731i | 0.541477 | − | 0.167024i | ||||
\(144\) | −1.92471 | + | 2.30119i | −0.160393 | + | 0.191766i | ||||
\(145\) | 27.6828 | − | 4.17251i | 2.29893 | − | 0.346508i | ||||
\(146\) | 7.49421 | − | 12.9803i | 0.620225 | − | 1.07426i | ||||
\(147\) | −7.78693 | − | 9.29321i | −0.642255 | − | 0.766491i | ||||
\(148\) | 0.0687762 | + | 0.119124i | 0.00565337 | + | 0.00979192i | ||||
\(149\) | 6.66043 | + | 8.35192i | 0.545644 | + | 0.684216i | 0.975832 | − | 0.218524i | \(-0.0701241\pi\) |
−0.430188 | + | 0.902739i | \(0.641553\pi\) | |||||||
\(150\) | 2.37158 | + | 17.0853i | 0.193639 | + | 1.39501i | ||||
\(151\) | 0.459713 | − | 2.01413i | 0.0374109 | − | 0.163908i | −0.952772 | − | 0.303687i | \(-0.901782\pi\) |
0.990183 | + | 0.139779i | \(0.0446394\pi\) | |||||||
\(152\) | −0.199368 | + | 2.66038i | −0.0161709 | + | 0.215785i | ||||
\(153\) | −15.5771 | − | 0.363725i | −1.25933 | − | 0.0294054i | ||||
\(154\) | 0.189484 | + | 3.41953i | 0.0152691 | + | 0.275553i | ||||
\(155\) | 0.701612 | − | 9.36236i | 0.0563548 | − | 0.752002i | ||||
\(156\) | 9.04891 | − | 0.571990i | 0.724493 | − | 0.0457959i | ||||
\(157\) | −15.9999 | + | 10.9086i | −1.27693 | + | 0.870597i | −0.996019 | − | 0.0891360i | \(-0.971589\pi\) |
−0.280912 | + | 0.959733i | \(0.590637\pi\) | |||||||
\(158\) | 14.3112 | − | 2.15706i | 1.13853 | − | 0.171607i | ||||
\(159\) | −8.85194 | − | 0.767365i | −0.702004 | − | 0.0608560i | ||||
\(160\) | −3.82446 | + | 0.576445i | −0.302350 | + | 0.0455720i | ||||
\(161\) | 13.9668 | + | 7.06381i | 1.10074 | + | 0.556706i | ||||
\(162\) | −8.46696 | − | 3.05131i | −0.665228 | − | 0.239734i | ||||
\(163\) | −4.84380 | + | 3.30245i | −0.379396 | + | 0.258668i | −0.737970 | − | 0.674834i | \(-0.764215\pi\) |
0.358574 | + | 0.933501i | \(0.383263\pi\) | |||||||
\(164\) | −1.09998 | − | 4.81931i | −0.0858936 | − | 0.376325i | ||||
\(165\) | −5.82349 | − | 6.42504i | −0.453358 | − | 0.500188i | ||||
\(166\) | 13.0881 | 1.01583 | ||||||||
\(167\) | 5.25306 | − | 4.87413i | 0.406494 | − | 0.377171i | −0.450259 | − | 0.892898i | \(-0.648668\pi\) |
0.856753 | + | 0.515727i | \(0.172478\pi\) | |||||||
\(168\) | −0.823647 | + | 4.50795i | −0.0635458 | + | 0.347796i | ||||
\(169\) | −10.5584 | − | 9.79674i | −0.812182 | − | 0.753595i | ||||
\(170\) | −14.7254 | − | 13.6632i | −1.12939 | − | 1.04792i | ||||
\(171\) | −7.70092 | + | 2.17990i | −0.588904 | + | 0.166701i | ||||
\(172\) | −6.43065 | − | 0.969265i | −0.490332 | − | 0.0739057i | ||||
\(173\) | 4.47314 | − | 1.37978i | 0.340087 | − | 0.104903i | −0.120007 | − | 0.992773i | \(-0.538292\pi\) |
0.460094 | + | 0.887870i | \(0.347816\pi\) | |||||||
\(174\) | −10.9300 | + | 6.14144i | −0.828599 | + | 0.465581i | ||||
\(175\) | 16.0244 | + | 20.9156i | 1.21133 | + | 1.58107i | ||||
\(176\) | 0.948894 | − | 0.880445i | 0.0715256 | − | 0.0663660i | ||||
\(177\) | 17.1737 | − | 3.70943i | 1.29085 | − | 0.278817i | ||||
\(178\) | −1.35004 | −0.101190 | ||||||||
\(179\) | 5.26827 | − | 4.88824i | 0.393769 | − | 0.365364i | −0.458297 | − | 0.888799i | \(-0.651540\pi\) |
0.852065 | + | 0.523435i | \(0.175350\pi\) | |||||||
\(180\) | −5.56534 | − | 10.1812i | −0.414816 | − | 0.758859i | ||||
\(181\) | 8.49165 | − | 10.6482i | 0.631179 | − | 0.791474i | −0.358690 | − | 0.933457i | \(-0.616776\pi\) |
0.989869 | + | 0.141983i | \(0.0453478\pi\) | |||||||
\(182\) | 11.5930 | − | 7.57803i | 0.859327 | − | 0.561721i | ||||
\(183\) | 14.6196 | − | 5.54172i | 1.08071 | − | 0.409656i | ||||
\(184\) | −1.31637 | − | 5.76738i | −0.0970438 | − | 0.425177i | ||||
\(185\) | −0.526063 | + | 0.0792913i | −0.0386770 | + | 0.00582961i | ||||
\(186\) | 1.19231 | + | 4.03189i | 0.0874247 | + | 0.295633i | ||||
\(187\) | 6.64796 | + | 1.00202i | 0.486147 | + | 0.0732749i | ||||
\(188\) | −3.56689 | + | 1.71772i | −0.260142 | + | 0.125278i | ||||
\(189\) | −13.5497 | + | 2.32502i | −0.985595 | + | 0.169120i | ||||
\(190\) | −9.29646 | − | 4.47694i | −0.674436 | − | 0.324791i | ||||
\(191\) | 16.6430 | + | 11.3470i | 1.20424 | + | 0.821040i | 0.987872 | − | 0.155271i | \(-0.0496251\pi\) |
0.216372 | + | 0.976311i | \(0.430577\pi\) | |||||||
\(192\) | 1.51001 | − | 0.848457i | 0.108975 | − | 0.0612321i | ||||
\(193\) | 1.84855 | − | 24.6671i | 0.133061 | − | 1.77558i | −0.387612 | − | 0.921822i | \(-0.626700\pi\) |
0.520674 | − | 0.853756i | \(-0.325681\pi\) | |||||||
\(194\) | −6.74790 | − | 8.46160i | −0.484471 | − | 0.607508i | ||||
\(195\) | −10.7269 | + | 33.3870i | −0.768170 | + | 2.39090i | ||||
\(196\) | 2.30212 | + | 6.61062i | 0.164437 | + | 0.472187i | ||||
\(197\) | −20.4617 | −1.45784 | −0.728918 | − | 0.684601i | \(-0.759976\pi\) | ||||
−0.728918 | + | 0.684601i | \(0.759976\pi\) | |||||||
\(198\) | 3.45847 | + | 1.76613i | 0.245783 | + | 0.125513i | ||||
\(199\) | −11.4172 | − | 7.78409i | −0.809342 | − | 0.551800i | 0.0864592 | − | 0.996255i | \(-0.472445\pi\) |
−0.895801 | + | 0.444456i | \(0.853397\pi\) | |||||||
\(200\) | 2.21604 | − | 9.70910i | 0.156698 | − | 0.686537i | ||||
\(201\) | 8.59017 | − | 6.68790i | 0.605904 | − | 0.471728i | ||||
\(202\) | −0.998208 | − | 13.3202i | −0.0702337 | − | 0.937203i | ||||
\(203\) | −9.89610 | + | 16.3959i | −0.694570 | + | 1.15076i | ||||
\(204\) | 8.33511 | + | 3.38409i | 0.583574 | + | 0.236934i | ||||
\(205\) | 18.9052 | + | 2.84951i | 1.32040 | + | 0.199018i | ||||
\(206\) | −0.401257 | − | 5.35440i | −0.0279569 | − | 0.373059i | ||||
\(207\) | 14.8927 | − | 9.65227i | 1.03512 | − | 0.670879i | ||||
\(208\) | −5.00225 | − | 1.54299i | −0.346844 | − | 0.106987i | ||||
\(209\) | 3.41479 | − | 0.514697i | 0.236206 | − | 0.0356023i | ||||
\(210\) | −15.0662 | − | 9.33518i | −1.03966 | − | 0.644189i | ||||
\(211\) | −8.18597 | − | 1.23384i | −0.563546 | − | 0.0849408i | −0.138910 | − | 0.990305i | \(-0.544360\pi\) |
−0.424636 | + | 0.905364i | \(0.639598\pi\) | |||||||
\(212\) | 4.62182 | + | 2.22575i | 0.317428 | + | 0.152865i | ||||
\(213\) | 6.44083 | − | 9.21401i | 0.441318 | − | 0.631334i | ||||
\(214\) | −15.7480 | −1.07651 | ||||||||
\(215\) | 12.5762 | − | 21.7827i | 0.857693 | − | 1.48557i | ||||
\(216\) | 3.94660 | + | 3.38000i | 0.268532 | + | 0.229980i | ||||
\(217\) | 4.62218 | + | 4.45910i | 0.313774 | + | 0.302703i | ||||
\(218\) | −5.03018 | − | 4.66733i | −0.340687 | − | 0.316111i | ||||
\(219\) | −22.3296 | − | 13.2419i | −1.50889 | − | 0.894804i | ||||
\(220\) | 1.82907 | + | 4.66039i | 0.123316 | + | 0.314203i | ||||
\(221\) | −9.93307 | − | 25.3091i | −0.668171 | − | 1.70247i | ||||
\(222\) | 0.207705 | − | 0.116707i | 0.0139402 | − | 0.00783288i | ||||
\(223\) | 9.62140 | + | 8.92735i | 0.644296 | + | 0.597820i | 0.933121 | − | 0.359562i | \(-0.117074\pi\) |
−0.288825 | + | 0.957382i | \(0.593264\pi\) | |||||||
\(224\) | 1.36717 | − | 2.26513i | 0.0913482 | − | 0.151346i | ||||
\(225\) | 29.6386 | − | 3.76200i | 1.97591 | − | 0.250800i | ||||
\(226\) | 5.72858 | − | 9.92218i | 0.381059 | − | 0.660014i | ||||
\(227\) | −18.4522 | −1.22471 | −0.612357 | − | 0.790581i | \(-0.709779\pi\) | ||||
−0.612357 | + | 0.790581i | \(0.709779\pi\) | |||||||
\(228\) | 4.60356 | + | 0.399078i | 0.304879 | + | 0.0264296i | ||||
\(229\) | 21.4956 | + | 10.3517i | 1.42047 | + | 0.684061i | 0.977199 | − | 0.212327i | \(-0.0681042\pi\) |
0.443269 | + | 0.896388i | \(0.353818\pi\) | |||||||
\(230\) | 22.6244 | + | 3.41007i | 1.49181 | + | 0.224854i | ||||
\(231\) | 5.92622 | − | 0.259039i | 0.389917 | − | 0.0170435i | ||||
\(232\) | 7.15751 | − | 1.07882i | 0.469914 | − | 0.0708281i | ||||
\(233\) | −0.841556 | − | 0.259586i | −0.0551322 | − | 0.0170060i | 0.267066 | − | 0.963678i | \(-0.413946\pi\) |
−0.322199 | + | 0.946672i | \(0.604422\pi\) | |||||||
\(234\) | −0.807702 | − | 15.6837i | −0.0528011 | − | 1.02527i | ||||
\(235\) | −1.14426 | − | 15.2690i | −0.0746430 | − | 0.996042i | ||||
\(236\) | −10.0306 | − | 1.51187i | −0.652936 | − | 0.0984143i | ||||
\(237\) | −3.44655 | − | 24.8296i | −0.223877 | − | 1.61285i | ||||
\(238\) | 13.6252 | − | 1.78348i | 0.883192 | − | 0.115606i | ||||
\(239\) | 0.313141 | + | 4.17858i | 0.0202554 | + | 0.270290i | 0.998131 | + | 0.0611044i | \(0.0194622\pi\) |
−0.977876 | + | 0.209186i | \(0.932919\pi\) | |||||||
\(240\) | 0.921042 | + | 6.63536i | 0.0594530 | + | 0.428311i | ||||
\(241\) | 2.86842 | − | 12.5674i | 0.184771 | − | 0.809536i | −0.794546 | − | 0.607204i | \(-0.792291\pi\) |
0.979317 | − | 0.202332i | \(-0.0648520\pi\) | |||||||
\(242\) | 7.70420 | + | 5.25263i | 0.495244 | + | 0.337652i | ||||
\(243\) | −5.45585 | + | 14.6025i | −0.349993 | + | 0.936752i | ||||
\(244\) | −9.02669 | −0.577875 | ||||||||
\(245\) | −27.0531 | − | 1.05258i | −1.72836 | − | 0.0672468i | ||||
\(246\) | −8.36895 | + | 1.80765i | −0.533585 | + | 0.115251i | ||||
\(247\) | −8.70743 | − | 10.9188i | −0.554041 | − | 0.694745i | ||||
\(248\) | 0.181405 | − | 2.42068i | 0.0115192 | − | 0.153713i | ||||
\(249\) | 0.264609 | − | 22.6677i | 0.0167689 | − | 1.43651i | ||||
\(250\) | 15.8464 | + | 10.8039i | 1.00221 | + | 0.683297i | ||||
\(251\) | 4.05628 | + | 1.95340i | 0.256030 | + | 0.123298i | 0.557497 | − | 0.830179i | \(-0.311762\pi\) |
−0.301467 | + | 0.953477i | \(0.597476\pi\) | |||||||
\(252\) | 7.79081 | + | 1.51764i | 0.490775 | + | 0.0956024i | ||||
\(253\) | −6.89920 | + | 3.32248i | −0.433749 | + | 0.208882i | ||||
\(254\) | 12.5251 | + | 1.88786i | 0.785895 | + | 0.118455i | ||||
\(255\) | −23.9614 | + | 25.2271i | −1.50052 | + | 1.57979i | ||||
\(256\) | −0.988831 | + | 0.149042i | −0.0618019 | + | 0.00931514i | ||||
\(257\) | 2.68294 | + | 11.7547i | 0.167357 | + | 0.733239i | 0.987047 | + | 0.160432i | \(0.0512886\pi\) |
−0.819690 | + | 0.572808i | \(0.805854\pi\) | |||||||
\(258\) | −1.80871 | + | 11.1179i | −0.112606 | + | 0.692168i | ||||
\(259\) | 0.188058 | − | 0.311574i | 0.0116854 | − | 0.0193603i | ||||
\(260\) | 12.6235 | − | 15.8293i | 0.782875 | − | 0.981694i | ||||
\(261\) | 10.4156 | + | 19.0541i | 0.644708 | + | 1.17942i | ||||
\(262\) | 1.74301 | − | 1.61728i | 0.107684 | − | 0.0999157i | ||||
\(263\) | −25.6954 | −1.58444 | −0.792222 | − | 0.610233i | \(-0.791076\pi\) | ||||
−0.792222 | + | 0.610233i | \(0.791076\pi\) | |||||||
\(264\) | −1.50569 | − | 1.66122i | −0.0926686 | − | 0.102241i | ||||
\(265\) | −14.5441 | + | 13.4949i | −0.893436 | + | 0.828988i | ||||
\(266\) | 6.41777 | − | 2.93832i | 0.393499 | − | 0.180160i | ||||
\(267\) | −0.0272946 | + | 2.33819i | −0.00167040 | + | 0.143095i | ||||
\(268\) | −6.00616 | + | 1.85266i | −0.366885 | + | 0.113169i | ||||
\(269\) | −14.9725 | − | 2.25674i | −0.912889 | − | 0.137596i | −0.324231 | − | 0.945978i | \(-0.605106\pi\) |
−0.588658 | + | 0.808382i | \(0.700344\pi\) | |||||||
\(270\) | −17.7456 | + | 9.43296i | −1.07996 | + | 0.574072i | ||||
\(271\) | 19.2152 | + | 17.8291i | 1.16724 | + | 1.08304i | 0.995191 | + | 0.0979498i | \(0.0312285\pi\) |
0.172047 | + | 0.985089i | \(0.444962\pi\) | |||||||
\(272\) | −3.80731 | − | 3.53267i | −0.230852 | − | 0.214200i | ||||
\(273\) | −12.8903 | − | 20.2314i | −0.780154 | − | 1.22446i | ||||
\(274\) | −4.90500 | + | 4.55118i | −0.296322 | + | 0.274947i | ||||
\(275\) | −12.8911 | −0.777362 | ||||||||
\(276\) | −10.0153 | + | 2.16326i | −0.602852 | + | 0.130213i | ||||
\(277\) | 4.11128 | + | 18.0127i | 0.247023 | + | 1.08228i | 0.934470 | + | 0.356043i | \(0.115874\pi\) |
−0.687447 | + | 0.726235i | \(0.741269\pi\) | |||||||
\(278\) | −7.65708 | + | 5.22051i | −0.459241 | + | 0.313105i | ||||
\(279\) | 7.00707 | − | 1.98349i | 0.419502 | − | 0.118749i | ||||
\(280\) | 6.22333 | + | 8.12291i | 0.371915 | + | 0.485437i | ||||
\(281\) | 12.0685 | − | 1.81904i | 0.719949 | − | 0.108515i | 0.221159 | − | 0.975238i | \(-0.429016\pi\) |
0.498790 | + | 0.866723i | \(0.333778\pi\) | |||||||
\(282\) | 2.90286 | + | 6.21233i | 0.172863 | + | 0.369939i | ||||
\(283\) | 11.7361 | − | 1.76894i | 0.697641 | − | 0.105152i | 0.209359 | − | 0.977839i | \(-0.432862\pi\) |
0.488281 | + | 0.872686i | \(0.337624\pi\) | |||||||
\(284\) | −5.36276 | + | 3.65626i | −0.318221 | + | 0.216959i | ||||
\(285\) | −7.94171 | + | 16.0103i | −0.470426 | + | 0.948370i | ||||
\(286\) | −0.506384 | + | 6.75722i | −0.0299431 | + | 0.399563i | ||||
\(287\) | −9.75843 | + | 8.70762i | −0.576022 | + | 0.513994i | ||||
\(288\) | −1.43894 | − | 2.63238i | −0.0847905 | − | 0.155115i | ||||
\(289\) | 0.745460 | − | 9.94748i | 0.0438506 | − | 0.585146i | ||||
\(290\) | −6.22959 | + | 27.2936i | −0.365814 | + | 1.60274i | ||||
\(291\) | −14.7913 | + | 11.5158i | −0.867084 | + | 0.675070i | ||||
\(292\) | 9.34512 | + | 11.7184i | 0.546882 | + | 0.685768i | ||||
\(293\) | −7.06160 | − | 12.2310i | −0.412543 | − | 0.714545i | 0.582624 | − | 0.812742i | \(-0.302026\pi\) |
−0.995167 | + | 0.0981965i | \(0.968693\pi\) | |||||||
\(294\) | 11.4957 | − | 3.85346i | 0.670442 | − | 0.224738i | ||||
\(295\) | 19.6166 | − | 33.9769i | 1.14212 | − | 1.97821i | ||||
\(296\) | −0.136016 | + | 0.0205011i | −0.00790577 | + | 0.00119160i | ||||
\(297\) | 3.12874 | − | 5.95414i | 0.181548 | − | 0.345494i | ||||
\(298\) | −10.2079 | + | 3.14872i | −0.591328 | + | 0.182401i | ||||
\(299\) | 25.5866 | + | 17.4447i | 1.47971 | + | 1.00885i | ||||
\(300\) | −16.7707 | − | 4.03433i | −0.968258 | − | 0.232922i | ||||
\(301\) | 5.97349 | + | 16.1359i | 0.344306 | + | 0.930057i | ||||
\(302\) | 1.70695 | + | 1.16378i | 0.0982240 | + | 0.0669680i | ||||
\(303\) | −23.0898 | + | 1.45953i | −1.32647 | + | 0.0838477i | ||||
\(304\) | −2.40364 | − | 1.15753i | −0.137858 | − | 0.0663890i | ||||
\(305\) | 12.7548 | − | 32.4988i | 0.730341 | − | 1.86088i | ||||
\(306\) | 6.02954 | − | 14.3674i | 0.344686 | − | 0.821331i | ||||
\(307\) | −9.72341 | − | 12.1928i | −0.554945 | − | 0.695878i | 0.422670 | − | 0.906284i | \(-0.361093\pi\) |
−0.977614 | + | 0.210405i | \(0.932522\pi\) | |||||||
\(308\) | −3.25238 | − | 1.07291i | −0.185321 | − | 0.0611346i | ||||
\(309\) | −9.28158 | + | 0.586698i | −0.528011 | + | 0.0333761i | ||||
\(310\) | 8.45884 | + | 4.07356i | 0.480430 | + | 0.231363i | ||||
\(311\) | 24.5521 | + | 7.57331i | 1.39222 | + | 0.429443i | 0.898039 | − | 0.439916i | \(-0.144992\pi\) |
0.494181 | + | 0.869359i | \(0.335468\pi\) | |||||||
\(312\) | −2.77349 | + | 8.63236i | −0.157018 | + | 0.488711i | ||||
\(313\) | −15.2890 | − | 26.4814i | −0.864188 | − | 1.49682i | −0.867851 | − | 0.496824i | \(-0.834499\pi\) |
0.00366332 | − | 0.999993i | \(-0.498834\pi\) | |||||||
\(314\) | −4.30906 | − | 18.8792i | −0.243175 | − | 1.06542i | ||||
\(315\) | −16.4725 | + | 25.9048i | −0.928120 | + | 1.45957i | ||||
\(316\) | −3.22050 | + | 14.1099i | −0.181167 | + | 0.793747i | ||||
\(317\) | 18.8560 | − | 5.81629i | 1.05906 | − | 0.326676i | 0.284168 | − | 0.958774i | \(-0.408283\pi\) |
0.774888 | + | 0.632099i | \(0.217806\pi\) | |||||||
\(318\) | 3.94830 | − | 7.95969i | 0.221409 | − | 0.446357i | ||||
\(319\) | −3.42312 | − | 8.72195i | −0.191658 | − | 0.488336i | ||||
\(320\) | 0.860635 | − | 3.77069i | 0.0481110 | − | 0.210788i | ||||
\(321\) | −0.318387 | + | 27.2745i | −0.0177706 | + | 1.52232i | ||||
\(322\) | −11.6782 | + | 10.4206i | −0.650798 | + | 0.580718i | ||||
\(323\) | −3.08329 | − | 13.5088i | −0.171559 | − | 0.751648i | ||||
\(324\) | 5.93372 | − | 6.76690i | 0.329651 | − | 0.375939i | ||||
\(325\) | 26.0662 | + | 45.1480i | 1.44589 | + | 2.50436i | ||||
\(326\) | −1.30452 | − | 5.71549i | −0.0722508 | − | 0.316552i | ||||
\(327\) | −8.18519 | + | 8.61757i | −0.452642 | + | 0.476553i | ||||
\(328\) | 4.88803 | + | 0.736752i | 0.269896 | + | 0.0406803i | ||||
\(329\) | 8.53798 | + | 6.06758i | 0.470714 | + | 0.334516i | ||||
\(330\) | 8.10846 | − | 3.07360i | 0.446356 | − | 0.169196i | ||||
\(331\) | −2.47926 | + | 2.30042i | −0.136273 | + | 0.126443i | −0.745365 | − | 0.666657i | \(-0.767725\pi\) |
0.609092 | + | 0.793100i | \(0.291534\pi\) | |||||||
\(332\) | −4.78162 | + | 12.1834i | −0.262425 | + | 0.668649i | ||||
\(333\) | −0.197930 | − | 0.362090i | −0.0108465 | − | 0.0198424i | ||||
\(334\) | 2.61804 | + | 6.67066i | 0.143253 | + | 0.365002i | ||||
\(335\) | 1.81667 | − | 24.2418i | 0.0992555 | − | 1.32447i | ||||
\(336\) | −3.89542 | − | 2.41365i | −0.212513 | − | 0.131675i | ||||
\(337\) | −0.917795 | − | 12.2471i | −0.0499955 | − | 0.667143i | −0.964756 | − | 0.263146i | \(-0.915240\pi\) |
0.914760 | − | 0.403997i | \(-0.132379\pi\) | |||||||
\(338\) | 12.9769 | − | 6.24936i | 0.705852 | − | 0.339920i | ||||
\(339\) | −17.0687 | − | 10.1221i | −0.927047 | − | 0.549758i | ||||
\(340\) | 18.0985 | − | 8.71576i | 0.981527 | − | 0.472679i | ||||
\(341\) | −3.10712 | + | 0.468323i | −0.168260 | + | 0.0253611i | ||||
\(342\) | 0.784249 | − | 7.96500i | 0.0424073 | − | 0.430698i | ||||
\(343\) | 12.3717 | − | 13.7819i | 0.668010 | − | 0.744153i | ||||
\(344\) | 3.25164 | − | 5.63201i | 0.175317 | − | 0.303658i | ||||
\(345\) | 6.36343 | − | 39.1149i | 0.342595 | − | 2.10588i | ||||
\(346\) | −0.349820 | + | 4.66802i | −0.0188064 | + | 0.250955i | ||||
\(347\) | −9.02368 | − | 8.37275i | −0.484416 | − | 0.449473i | 0.399764 | − | 0.916618i | \(-0.369092\pi\) |
−0.884181 | + | 0.467145i | \(0.845282\pi\) | |||||||
\(348\) | −1.72374 | − | 12.4181i | −0.0924021 | − | 0.665682i | ||||
\(349\) | −18.4086 | + | 12.5508i | −0.985391 | + | 0.671828i | −0.944902 | − | 0.327352i | \(-0.893844\pi\) |
−0.0404881 | + | 0.999180i | \(0.512891\pi\) | |||||||
\(350\) | −25.3241 | + | 7.27535i | −1.35363 | + | 0.388884i | ||||
\(351\) | −27.1794 | + | 1.08180i | −1.45073 | + | 0.0577422i | ||||
\(352\) | 0.472913 | + | 1.20496i | 0.0252064 | + | 0.0642247i | ||||
\(353\) | 8.23842 | + | 3.96741i | 0.438487 | + | 0.211164i | 0.640085 | − | 0.768304i | \(-0.278899\pi\) |
−0.201598 | + | 0.979468i | \(0.564613\pi\) | |||||||
\(354\) | −2.82125 | + | 17.3417i | −0.149948 | + | 0.921704i | ||||
\(355\) | −5.58601 | − | 24.4739i | −0.296475 | − | 1.29894i | ||||
\(356\) | 0.493226 | − | 1.25672i | 0.0261409 | − | 0.0666060i | ||||
\(357\) | −2.81340 | − | 23.6340i | −0.148901 | − | 1.25085i | ||||
\(358\) | 2.62562 | + | 6.68997i | 0.138768 | + | 0.353576i | ||||
\(359\) | −3.64697 | + | 2.48646i | −0.192480 | + | 0.131230i | −0.655725 | − | 0.754999i | \(-0.727637\pi\) |
0.463246 | + | 0.886230i | \(0.346685\pi\) | |||||||
\(360\) | 11.5106 | − | 1.46103i | 0.606663 | − | 0.0770032i | ||||
\(361\) | 5.94132 | + | 10.2907i | 0.312701 | + | 0.541614i | ||||
\(362\) | 6.80978 | + | 11.7949i | 0.357914 | + | 0.619925i | ||||
\(363\) | 9.25296 | − | 13.2370i | 0.485655 | − | 0.694760i | ||||
\(364\) | 2.81880 | + | 13.5601i | 0.147746 | + | 0.710745i | ||||
\(365\) | −55.3946 | + | 17.0870i | −2.89949 | + | 0.894374i | ||||
\(366\) | −0.182498 | + | 15.6336i | −0.00953930 | + | 0.817183i | ||||
\(367\) | −18.0407 | + | 22.6223i | −0.941716 | + | 1.18087i | 0.0416299 | + | 0.999133i | \(0.486745\pi\) |
−0.983346 | + | 0.181742i | \(0.941826\pi\) | |||||||
\(368\) | 5.84962 | + | 0.881689i | 0.304933 | + | 0.0459612i | ||||
\(369\) | 2.96153 | + | 14.5310i | 0.154171 | + | 0.756454i | ||||
\(370\) | 0.118382 | − | 0.518667i | 0.00615441 | − | 0.0269642i | ||||
\(371\) | −0.750919 | − | 13.5515i | −0.0389858 | − | 0.703558i | ||||
\(372\) | −4.18878 | − | 0.363121i | −0.217178 | − | 0.0188269i | ||||
\(373\) | 33.2381 | 1.72100 | 0.860501 | − | 0.509449i | \(-0.170151\pi\) | ||||
0.860501 | + | 0.509449i | \(0.170151\pi\) | |||||||
\(374\) | −3.36153 | + | 5.82234i | −0.173820 | + | 0.301066i | ||||
\(375\) | 19.0320 | − | 27.2264i | 0.982806 | − | 1.40597i | ||||
\(376\) | −0.295852 | − | 3.94787i | −0.0152574 | − | 0.203596i | ||||
\(377\) | −23.6250 | + | 29.6248i | −1.21675 | + | 1.52575i | ||||
\(378\) | 2.78596 | − | 13.4625i | 0.143295 | − | 0.692435i | ||||
\(379\) | −11.8133 | − | 14.8134i | −0.606808 | − | 0.760913i | 0.379614 | − | 0.925145i | \(-0.376057\pi\) |
−0.986422 | + | 0.164232i | \(0.947485\pi\) | |||||||
\(380\) | 7.56384 | − | 7.01822i | 0.388017 | − | 0.360027i | ||||
\(381\) | 3.52287 | − | 21.6545i | 0.180482 | − | 1.10939i | ||||
\(382\) | −16.6430 | + | 11.3470i | −0.851529 | + | 0.580563i | ||||
\(383\) | −3.23108 | + | 4.05164i | −0.165100 | + | 0.207029i | −0.857499 | − | 0.514486i | \(-0.827983\pi\) |
0.692398 | + | 0.721515i | \(0.256554\pi\) | |||||||
\(384\) | 0.238139 | + | 1.71560i | 0.0121525 | + | 0.0875489i | ||||
\(385\) | 8.45845 | − | 10.1935i | 0.431083 | − | 0.519509i | ||||
\(386\) | 22.2866 | + | 10.7327i | 1.13436 | + | 0.546279i | ||||
\(387\) | 19.2188 | + | 3.35735i | 0.976947 | + | 0.170663i | ||||
\(388\) | 10.3420 | − | 3.19007i | 0.525034 | − | 0.161951i | ||||
\(389\) | 22.1168 | − | 10.6509i | 1.12137 | − | 0.540021i | 0.221052 | − | 0.975262i | \(-0.429051\pi\) |
0.900314 | + | 0.435241i | \(0.143337\pi\) | |||||||
\(390\) | −27.1601 | − | 22.1830i | −1.37531 | − | 1.12328i | ||||
\(391\) | 15.3624 | + | 26.6085i | 0.776911 | + | 1.34565i | ||||
\(392\) | −6.99471 | − | 0.272149i | −0.353286 | − | 0.0137456i | ||||
\(393\) | −2.76578 | − | 3.05147i | −0.139515 | − | 0.153926i | ||||
\(394\) | 7.47550 | − | 19.0473i | 0.376610 | − | 0.959587i | ||||
\(395\) | −46.2495 | − | 31.5324i | −2.32706 | − | 1.58656i | ||||
\(396\) | −2.90756 | + | 2.57416i | −0.146111 | + | 0.129357i | ||||
\(397\) | −1.42206 | + | 18.9760i | −0.0713710 | + | 0.952379i | 0.840476 | + | 0.541849i | \(0.182275\pi\) |
−0.911847 | + | 0.410530i | \(0.865344\pi\) | |||||||
\(398\) | 11.4172 | − | 7.78409i | 0.572291 | − | 0.390181i | ||||
\(399\) | −4.95921 | − | 11.1746i | −0.248271 | − | 0.559428i | ||||
\(400\) | 8.22834 | + | 5.60999i | 0.411417 | + | 0.280499i | ||||
\(401\) | −11.6894 | + | 14.6581i | −0.583743 | + | 0.731991i | −0.982746 | − | 0.184959i | \(-0.940785\pi\) |
0.399003 | + | 0.916950i | \(0.369356\pi\) | |||||||
\(402\) | 3.08725 | + | 10.4397i | 0.153978 | + | 0.520686i | ||||
\(403\) | 7.92289 | + | 9.93499i | 0.394667 | + | 0.494897i | ||||
\(404\) | 12.7641 | + | 3.93720i | 0.635036 | + | 0.195883i | ||||
\(405\) | 15.9785 | + | 30.9249i | 0.793977 | + | 1.53667i | ||||
\(406\) | −11.6470 | − | 15.2021i | −0.578032 | − | 0.754468i | ||||
\(407\) | 0.0650503 | + | 0.165745i | 0.00322442 | + | 0.00821570i | ||||
\(408\) | −6.19532 | + | 6.52259i | −0.306714 | + | 0.322916i | ||||
\(409\) | −21.8030 | − | 6.72533i | −1.07809 | − | 0.332546i | −0.295664 | − | 0.955292i | \(-0.595541\pi\) |
−0.782425 | + | 0.622745i | \(0.786017\pi\) | |||||||
\(410\) | −9.55939 | + | 16.5574i | −0.472105 | + | 0.817710i | ||||
\(411\) | 7.78317 | + | 8.58715i | 0.383915 | + | 0.423573i | ||||
\(412\) | 5.13087 | + | 1.58266i | 0.252780 | + | 0.0779723i | ||||
\(413\) | 9.31751 | + | 25.1689i | 0.458485 | + | 1.23848i | ||||
\(414\) | 3.54413 | + | 17.3896i | 0.174184 | + | 0.854653i | ||||
\(415\) | −37.1073 | − | 34.4305i | −1.82153 | − | 1.69013i | ||||
\(416\) | 3.26385 | − | 4.09274i | 0.160024 | − | 0.200663i | ||||
\(417\) | 8.88677 | + | 13.3671i | 0.435187 | + | 0.654590i | ||||
\(418\) | −0.768446 | + | 3.36678i | −0.0375859 | + | 0.164675i | ||||
\(419\) | 1.40031 | − | 0.431939i | 0.0684098 | − | 0.0211016i | −0.260361 | − | 0.965511i | \(-0.583842\pi\) |
0.328771 | + | 0.944410i | \(0.393366\pi\) | |||||||
\(420\) | 14.1942 | − | 10.6142i | 0.692604 | − | 0.517918i | ||||
\(421\) | 1.89503 | + | 0.584538i | 0.0923579 | + | 0.0284886i | 0.340590 | − | 0.940212i | \(-0.389373\pi\) |
−0.248232 | + | 0.968701i | \(0.579849\pi\) | |||||||
\(422\) | 4.13922 | − | 7.16934i | 0.201494 | − | 0.348998i | ||||
\(423\) | 10.8180 | − | 4.90197i | 0.525991 | − | 0.238342i | ||||
\(424\) | −3.76044 | + | 3.48918i | −0.182623 | + | 0.169449i | ||||
\(425\) | 3.86532 | + | 51.5792i | 0.187496 | + | 2.50196i | ||||
\(426\) | 6.22398 | + | 9.36185i | 0.301553 | + | 0.453583i | ||||
\(427\) | 11.5368 | + | 20.9110i | 0.558305 | + | 1.01195i | ||||
\(428\) | 5.75340 | − | 14.6594i | 0.278101 | − | 0.708591i | ||||
\(429\) | 11.6928 | + | 1.01364i | 0.564535 | + | 0.0489389i | ||||
\(430\) | 15.6823 | + | 19.6650i | 0.756269 | + | 0.948331i | ||||
\(431\) | 0.850365 | + | 11.3473i | 0.0409607 | + | 0.546582i | 0.979505 | + | 0.201422i | \(0.0645563\pi\) |
−0.938544 | + | 0.345160i | \(0.887825\pi\) | |||||||
\(432\) | −4.58820 | + | 2.43893i | −0.220750 | + | 0.117343i | ||||
\(433\) | −10.1861 | + | 4.90537i | −0.489513 | + | 0.235737i | −0.662323 | − | 0.749218i | \(-0.730429\pi\) |
0.172810 | + | 0.984955i | \(0.444715\pi\) | |||||||
\(434\) | −5.83953 | + | 2.67357i | −0.280306 | + | 0.128336i | ||||
\(435\) | 47.1447 | + | 11.3410i | 2.26042 | + | 0.543761i | ||||
\(436\) | 6.18242 | − | 2.97730i | 0.296084 | − | 0.142587i | ||||
\(437\) | 11.5691 | + | 10.7346i | 0.553426 | + | 0.513504i | ||||
\(438\) | 20.4844 | − | 15.9482i | 0.978784 | − | 0.762035i | ||||
\(439\) | −2.82579 | + | 7.20001i | −0.134868 | + | 0.343638i | −0.982313 | − | 0.187245i | \(-0.940044\pi\) |
0.847445 | + | 0.530882i | \(0.178139\pi\) | |||||||
\(440\) | −5.00647 | −0.238674 | ||||||||
\(441\) | −6.44152 | − | 19.9877i | −0.306739 | − | 0.951794i | ||||
\(442\) | 27.1885 | 1.29322 | ||||||||
\(443\) | −5.64491 | + | 14.3830i | −0.268198 | + | 0.683357i | 0.731801 | + | 0.681519i | \(0.238680\pi\) |
−0.999998 | + | 0.00183780i | \(0.999415\pi\) | |||||||
\(444\) | 0.0327566 | + | 0.235985i | 0.00155456 | + | 0.0111994i | ||||
\(445\) | 3.82764 | + | 3.55153i | 0.181447 | + | 0.168359i | ||||
\(446\) | −11.8253 | + | 5.69478i | −0.559946 | + | 0.269656i | ||||
\(447\) | 5.24700 | + | 17.7431i | 0.248175 | + | 0.839219i | ||||
\(448\) | 1.60907 | + | 2.10021i | 0.0760214 | + | 0.0992258i | ||||
\(449\) | 32.8102 | − | 15.8006i | 1.54841 | − | 0.745674i | 0.552286 | − | 0.833655i | \(-0.313756\pi\) |
0.996122 | + | 0.0879807i | \(0.0280414\pi\) | |||||||
\(450\) | −7.32624 | + | 28.9642i | −0.345362 | + | 1.36538i | ||||
\(451\) | −0.478179 | − | 6.38086i | −0.0225166 | − | 0.300463i | ||||
\(452\) | 7.14342 | + | 8.95756i | 0.335998 | + | 0.421328i | ||||
\(453\) | 2.05010 | − | 2.93280i | 0.0963220 | − | 0.137795i | ||||
\(454\) | 6.74134 | − | 17.1767i | 0.316387 | − | 0.806140i | ||||
\(455\) | −52.8036 | − | 9.01213i | −2.47547 | − | 0.422495i | ||||
\(456\) | −2.05336 | + | 4.13954i | −0.0961575 | + | 0.193852i | ||||
\(457\) | −0.190191 | − | 2.53792i | −0.00889675 | − | 0.118719i | 0.990987 | − | 0.133957i | \(-0.0427684\pi\) |
−0.999884 | + | 0.0152382i | \(0.995149\pi\) | |||||||
\(458\) | −17.4894 | + | 16.2278i | −0.817225 | + | 0.758274i | ||||
\(459\) | −24.7615 | − | 10.7332i | −1.15577 | − | 0.500984i | ||||
\(460\) | −11.4400 | + | 19.8146i | −0.533391 | + | 0.923860i | ||||
\(461\) | 33.6874 | + | 10.3912i | 1.56898 | + | 0.483966i | 0.952789 | − | 0.303633i | \(-0.0981996\pi\) |
0.616189 | + | 0.787598i | \(0.288676\pi\) | |||||||
\(462\) | −1.92396 | + | 5.61120i | −0.0895107 | + | 0.261057i | ||||
\(463\) | −29.1250 | + | 8.98388i | −1.35355 | + | 0.417516i | −0.884865 | − | 0.465847i | \(-0.845750\pi\) |
−0.468689 | + | 0.883363i | \(0.655274\pi\) | |||||||
\(464\) | −1.61069 | + | 7.05688i | −0.0747742 | + | 0.327607i | ||||
\(465\) | 7.22616 | − | 14.5678i | 0.335105 | − | 0.675565i | ||||
\(466\) | 0.549096 | − | 0.688545i | 0.0254364 | − | 0.0318962i | ||||
\(467\) | −13.5545 | − | 12.5767i | −0.627226 | − | 0.581981i | 0.301171 | − | 0.953570i | \(-0.402623\pi\) |
−0.928397 | + | 0.371589i | \(0.878813\pi\) | |||||||
\(468\) | 14.8946 | + | 4.97802i | 0.688503 | + | 0.230109i | ||||
\(469\) | 11.9681 | + | 11.5459i | 0.552638 | + | 0.533140i | ||||
\(470\) | 14.6316 | + | 4.51325i | 0.674905 | + | 0.208181i | ||||
\(471\) | −32.7847 | + | 7.08132i | −1.51064 | + | 0.326290i | ||||
\(472\) | 5.07195 | − | 8.78487i | 0.233455 | − | 0.404356i | ||||
\(473\) | −8.04414 | − | 2.48129i | −0.369870 | − | 0.114090i | ||||
\(474\) | 24.3724 | + | 5.86296i | 1.11946 | + | 0.269295i | ||||
\(475\) | 9.70654 | + | 24.7319i | 0.445367 | + | 1.13478i | ||||
\(476\) | −3.31766 | + | 13.3349i | −0.152065 | + | 0.611206i | ||||
\(477\) | −13.7058 | − | 6.99911i | −0.627546 | − | 0.320467i | ||||
\(478\) | −4.00414 | − | 1.23511i | −0.183145 | − | 0.0564927i | ||||
\(479\) | −14.1058 | − | 17.6881i | −0.644511 | − | 0.808191i | 0.347048 | − | 0.937847i | \(-0.387184\pi\) |
−0.991559 | + | 0.129656i | \(0.958613\pi\) | |||||||
\(480\) | −6.51318 | − | 1.56680i | −0.297285 | − | 0.0715142i | ||||
\(481\) | 0.448951 | − | 0.562966i | 0.0204704 | − | 0.0256691i | ||||
\(482\) | 10.6507 | + | 7.26152i | 0.485126 | + | 0.330753i | ||||
\(483\) | 17.8117 | + | 20.4365i | 0.810460 | + | 0.929891i | ||||
\(484\) | −7.70420 | + | 5.25263i | −0.350191 | + | 0.238756i | ||||
\(485\) | −3.12812 | + | 41.7418i | −0.142041 | + | 1.89540i | ||||
\(486\) | −11.5999 | − | 10.4136i | −0.526180 | − | 0.472371i | ||||
\(487\) | 0.204169 | + | 0.139200i | 0.00925180 | + | 0.00630777i | 0.567937 | − | 0.823072i | \(-0.307742\pi\) |
−0.558685 | + | 0.829380i | \(0.688694\pi\) | |||||||
\(488\) | 3.29782 | − | 8.40271i | 0.149285 | − | 0.380373i | ||||
\(489\) | −9.92521 | + | 2.14379i | −0.448834 | + | 0.0969457i | ||||
\(490\) | 10.8634 | − | 24.7985i | 0.490760 | − | 1.12028i | ||||
\(491\) | −8.47218 | − | 14.6742i | −0.382344 | − | 0.662240i | 0.609053 | − | 0.793130i | \(-0.291550\pi\) |
−0.991397 | + | 0.130890i | \(0.958216\pi\) | |||||||
\(492\) | 1.37483 | − | 8.45085i | 0.0619821 | − | 0.380994i | ||||
\(493\) | −33.8714 | + | 16.3116i | −1.52549 | + | 0.734639i | ||||
\(494\) | 13.3452 | − | 4.11644i | 0.600428 | − | 0.185208i | ||||
\(495\) | −5.15934 | − | 14.1054i | −0.231895 | − | 0.633992i | ||||
\(496\) | 2.18707 | + | 1.05324i | 0.0982023 | + | 0.0472918i | ||||
\(497\) | 15.3240 | + | 7.75024i | 0.687376 | + | 0.347646i | ||||
\(498\) | 21.0041 | + | 8.52776i | 0.941216 | + | 0.382138i | ||||
\(499\) | 2.85598 | − | 3.58129i | 0.127851 | − | 0.160321i | −0.713786 | − | 0.700364i | \(-0.753021\pi\) |
0.841637 | + | 0.540044i | \(0.181592\pi\) | |||||||
\(500\) | −15.8464 | + | 10.8039i | −0.708671 | + | 0.483164i | ||||
\(501\) | 11.6061 | − | 4.39940i | 0.518520 | − | 0.196551i | ||||
\(502\) | −3.30030 | + | 3.06223i | −0.147299 | + | 0.136674i | ||||
\(503\) | 25.5580 | + | 32.0487i | 1.13957 | + | 1.42898i | 0.887221 | + | 0.461344i | \(0.152633\pi\) |
0.252352 | + | 0.967635i | \(0.418796\pi\) | |||||||
\(504\) | −4.25904 | + | 6.69781i | −0.189713 | + | 0.298344i | ||||
\(505\) | −32.2109 | + | 40.3912i | −1.43337 | + | 1.79739i | ||||
\(506\) | −0.572248 | − | 7.63612i | −0.0254395 | − | 0.339467i | ||||
\(507\) | −10.5611 | − | 22.6015i | −0.469035 | − | 1.00377i | ||||
\(508\) | −6.33329 | + | 10.9696i | −0.280994 | + | 0.486697i | ||||
\(509\) | 0.508406 | 0.0225347 | 0.0112674 | − | 0.999937i | \(-0.496413\pi\) | ||||
0.0112674 | + | 0.999937i | \(0.496413\pi\) | |||||||
\(510\) | −14.7292 | − | 31.5215i | −0.652220 | − | 1.39580i | ||||
\(511\) | 15.2028 | − | 36.6257i | 0.672533 | − | 1.62023i | ||||
\(512\) | 0.222521 | − | 0.974928i | 0.00983413 | − | 0.0430861i | ||||
\(513\) | −13.7790 | − | 1.51930i | −0.608357 | − | 0.0670787i | ||||
\(514\) | −11.9223 | − | 1.79700i | −0.525872 | − | 0.0792625i | ||||
\(515\) | −12.9481 | + | 16.2364i | −0.570560 | + | 0.715460i | ||||
\(516\) | −9.68852 | − | 5.74549i | −0.426514 | − | 0.252931i | ||||
\(517\) | −4.89695 | + | 1.51051i | −0.215368 | + | 0.0664322i | ||||
\(518\) | 0.221331 | + | 0.288889i | 0.00972473 | + | 0.0126931i | ||||
\(519\) | 8.07763 | + | 0.700241i | 0.354569 | + | 0.0307372i | ||||
\(520\) | 10.1232 | + | 17.5340i | 0.443934 | + | 0.768916i | ||||
\(521\) | 11.1948 | + | 19.3900i | 0.490453 | + | 0.849490i | 0.999940 | − | 0.0109890i | \(-0.00349798\pi\) |
−0.509487 | + | 0.860479i | \(0.670165\pi\) | |||||||
\(522\) | −21.5422 | + | 2.73434i | −0.942878 | + | 0.119679i | ||||
\(523\) | −0.522751 | + | 0.356405i | −0.0228583 | + | 0.0155845i | −0.574695 | − | 0.818367i | \(-0.694879\pi\) |
0.551837 | + | 0.833952i | \(0.313927\pi\) | |||||||
\(524\) | 0.868688 | + | 2.21338i | 0.0379488 | + | 0.0966919i | ||||
\(525\) | 12.0884 | + | 44.0068i | 0.527582 | + | 1.92061i | ||||
\(526\) | 9.38757 | − | 23.9191i | 0.409318 | − | 1.04292i | ||||
\(527\) | 2.80548 | + | 12.2916i | 0.122209 | + | 0.535431i | ||||
\(528\) | 2.09648 | − | 0.794692i | 0.0912374 | − | 0.0345845i | ||||
\(529\) | −10.8076 | − | 5.20465i | −0.469894 | − | 0.226289i | ||||
\(530\) | −7.24854 | − | 18.4690i | −0.314856 | − | 0.802241i | ||||
\(531\) | 29.9777 | + | 5.23682i | 1.30092 | + | 0.227259i | ||||
\(532\) | 0.390525 | + | 7.04762i | 0.0169314 | + | 0.305553i | ||||
\(533\) | −21.3806 | + | 14.5770i | −0.926095 | + | 0.631401i | ||||
\(534\) | −2.16658 | − | 0.879643i | −0.0937572 | − | 0.0380659i | ||||
\(535\) | 44.6488 | + | 41.4280i | 1.93033 | + | 1.79109i | ||||
\(536\) | 0.469709 | − | 6.26783i | 0.0202883 | − | 0.270729i | ||||
\(537\) | 11.6397 | − | 4.41214i | 0.502288 | − | 0.190398i | ||||
\(538\) | 7.57081 | − | 13.1130i | 0.326401 | − | 0.565343i | ||||
\(539\) | 1.67131 | + | 8.90563i | 0.0719885 | + | 0.383593i | ||||
\(540\) | −2.29769 | − | 19.9652i | −0.0988770 | − | 0.859164i | ||||
\(541\) | −43.3872 | + | 6.53957i | −1.86536 | + | 0.281158i | −0.982190 | − | 0.187889i | \(-0.939835\pi\) |
−0.883173 | + | 0.469048i | \(0.844597\pi\) | |||||||
\(542\) | −23.6167 | + | 11.3732i | −1.01442 | + | 0.488521i | ||||
\(543\) | 20.5656 | − | 11.5556i | 0.882555 | − | 0.495899i | ||||
\(544\) | 4.67944 | − | 2.25350i | 0.200629 | − | 0.0966179i | ||||
\(545\) | 1.98332 | + | 26.4656i | 0.0849561 | + | 1.13366i | ||||
\(546\) | 23.5422 | − | 4.60783i | 1.00752 | − | 0.197197i | ||||
\(547\) | −0.839650 | + | 11.2044i | −0.0359008 | + | 0.479063i | 0.950058 | + | 0.312074i | \(0.101024\pi\) |
−0.985959 | + | 0.166990i | \(0.946595\pi\) | |||||||
\(548\) | −2.44457 | − | 6.22867i | −0.104427 | − | 0.266076i | ||||
\(549\) | 27.0727 | + | 0.632147i | 1.15543 | + | 0.0269794i | ||||
\(550\) | 4.70964 | − | 12.0000i | 0.200820 | − | 0.511681i | ||||
\(551\) | −14.1558 | + | 13.1347i | −0.603057 | + | 0.559555i | ||||
\(552\) | 1.64529 | − | 10.1133i | 0.0700282 | − | 0.430452i | ||||
\(553\) | 36.8028 | − | 10.5731i | 1.56501 | − | 0.449612i | ||||
\(554\) | −18.2696 | − | 2.75369i | −0.776199 | − | 0.116993i | ||||
\(555\) | −0.895903 | − | 0.215516i | −0.0380290 | − | 0.00914817i | ||||
\(556\) | −2.06219 | − | 9.03504i | −0.0874563 | − | 0.383171i | ||||
\(557\) | 17.7111 | + | 30.6765i | 0.750442 | + | 1.29980i | 0.947609 | + | 0.319433i | \(0.103492\pi\) |
−0.197167 | + | 0.980370i | \(0.563174\pi\) | |||||||
\(558\) | −0.713588 | + | 7.24735i | −0.0302086 | + | 0.306805i | ||||
\(559\) | 7.57539 | + | 33.1900i | 0.320405 | + | 1.40379i | ||||
\(560\) | −9.83504 | + | 2.82550i | −0.415606 | + | 0.119399i | ||||
\(561\) | 10.0159 | + | 5.93965i | 0.422873 | + | 0.250772i | ||||
\(562\) | −2.71584 | + | 11.8989i | −0.114561 | + | 0.501923i | ||||
\(563\) | −4.50254 | − | 11.4723i | −0.189759 | − | 0.483499i | 0.804055 | − | 0.594555i | \(-0.202672\pi\) |
−0.993814 | + | 0.111056i | \(0.964577\pi\) | |||||||
\(564\) | −6.84343 | + | 0.432580i | −0.288161 | + | 0.0182149i | ||||
\(565\) | −42.3437 | + | 13.0613i | −1.78141 | + | 0.549493i | ||||
\(566\) | −2.64103 | + | 11.5711i | −0.111011 | + | 0.486371i | ||||
\(567\) | −23.2598 | − | 5.09728i | −0.976819 | − | 0.214066i | ||||
\(568\) | −1.44429 | − | 6.32783i | −0.0606009 | − | 0.265510i | ||||
\(569\) | −20.1535 | − | 34.9069i | −0.844879 | − | 1.46337i | −0.885726 | − | 0.464208i | \(-0.846339\pi\) |
0.0408472 | − | 0.999165i | \(-0.486994\pi\) | |||||||
\(570\) | −12.0022 | − | 13.2420i | −0.502715 | − | 0.554644i | ||||
\(571\) | −1.63026 | − | 0.502869i | −0.0682243 | − | 0.0210444i | 0.260455 | − | 0.965486i | \(-0.416127\pi\) |
−0.328679 | + | 0.944442i | \(0.606604\pi\) | |||||||
\(572\) | −6.10512 | − | 2.94007i | −0.255268 | − | 0.122931i | ||||
\(573\) | 19.3158 | + | 29.0539i | 0.806927 | + | 1.21375i | ||||
\(574\) | −4.54054 | − | 12.2651i | −0.189518 | − | 0.511936i | ||||
\(575\) | −36.7318 | − | 46.0602i | −1.53182 | − | 1.92084i | ||||
\(576\) | 2.97612 | − | 0.377756i | 0.124005 | − | 0.0157398i | ||||
\(577\) | 1.28361 | − | 3.27058i | 0.0534373 | − | 0.136156i | −0.901662 | − | 0.432441i | \(-0.857652\pi\) |
0.955100 | + | 0.296285i | \(0.0957477\pi\) | |||||||
\(578\) | 8.98750 | + | 4.32815i | 0.373831 | + | 0.180027i | ||||
\(579\) | 19.0389 | − | 38.3820i | 0.791228 | − | 1.59510i | ||||
\(580\) | −23.1310 | − | 15.7704i | −0.960461 | − | 0.654832i | ||||
\(581\) | 34.3349 | − | 4.49429i | 1.42445 | − | 0.186455i | ||||
\(582\) | −5.31591 | − | 17.9761i | −0.220351 | − | 0.745133i | ||||
\(583\) | 5.48646 | + | 3.74060i | 0.227226 | + | 0.154920i | ||||
\(584\) | −14.3225 | + | 4.41791i | −0.592670 | + | 0.182815i | ||||
\(585\) | −38.9687 | + | 46.5911i | −1.61116 | + | 1.92630i | ||||
\(586\) | 13.9654 | − | 2.10495i | 0.576907 | − | 0.0869548i | ||||
\(587\) | 2.87957 | − | 4.98757i | 0.118853 | − | 0.205859i | −0.800461 | − | 0.599385i | \(-0.795412\pi\) |
0.919313 | + | 0.393526i | \(0.128745\pi\) | |||||||
\(588\) | −0.612759 | + | 12.1089i | −0.0252698 | + | 0.499361i | ||||
\(589\) | 3.23804 | + | 5.60845i | 0.133421 | + | 0.231092i | ||||
\(590\) | 24.4615 | + | 30.6737i | 1.00706 | + | 1.26282i | ||||
\(591\) | −32.8374 | − | 13.3322i | −1.35075 | − | 0.548411i | ||||
\(592\) | 0.0306083 | − | 0.134104i | 0.00125799 | − | 0.00551162i | ||||
\(593\) | −0.0650259 | + | 0.867710i | −0.00267029 | + | 0.0356326i | −0.998380 | − | 0.0569019i | \(-0.981878\pi\) |
0.995709 | + | 0.0925345i | \(0.0294968\pi\) | |||||||
\(594\) | 4.39949 | + | 5.08775i | 0.180513 | + | 0.208753i | ||||
\(595\) | −43.3219 | − | 30.7870i | −1.77603 | − | 1.26215i | ||||
\(596\) | 0.798305 | − | 10.6526i | 0.0326998 | − | 0.436349i | ||||
\(597\) | −13.2507 | − | 19.9311i | −0.542315 | − | 0.815727i | ||||
\(598\) | −25.5866 | + | 17.4447i | −1.04632 | + | 0.713365i | ||||
\(599\) | −18.4473 | + | 2.78049i | −0.753737 | + | 0.113608i | −0.514662 | − | 0.857393i | \(-0.672082\pi\) |
−0.239076 | + | 0.971001i | \(0.576844\pi\) | |||||||
\(600\) | 9.88248 | − | 14.1375i | 0.403450 | − | 0.577162i | ||||
\(601\) | 1.36056 | − | 0.205072i | 0.0554984 | − | 0.00836504i | −0.121234 | − | 0.992624i | \(-0.538685\pi\) |
0.176733 | + | 0.984259i | \(0.443447\pi\) | |||||||
\(602\) | −17.2028 | − | 0.334536i | −0.701135 | − | 0.0136347i | ||||
\(603\) | 18.1433 | − | 5.13584i | 0.738853 | − | 0.209147i | ||||
\(604\) | −1.70695 | + | 1.16378i | −0.0694548 | + | 0.0473535i | ||||
\(605\) | −8.02492 | − | 35.1595i | −0.326259 | − | 1.42944i | ||||
\(606\) | 7.07702 | − | 22.0269i | 0.287484 | − | 0.894782i | ||||
\(607\) | 45.7049 | 1.85511 | 0.927553 | − | 0.373691i | \(-0.121908\pi\) | ||||
0.927553 | + | 0.373691i | \(0.121908\pi\) | |||||||
\(608\) | 1.95566 | − | 1.81459i | 0.0793126 | − | 0.0735914i | ||||
\(609\) | −26.5645 | + | 19.8645i | −1.07645 | + | 0.804950i | ||||
\(610\) | 25.5924 | + | 23.7463i | 1.03621 | + | 0.961460i | ||||
\(611\) | 15.1920 | + | 14.0961i | 0.614603 | + | 0.570269i | ||||
\(612\) | 11.1714 | + | 10.8617i | 0.451578 | + | 0.439060i | ||||
\(613\) | −24.9934 | − | 3.76715i | −1.00947 | − | 0.152154i | −0.376574 | − | 0.926387i | \(-0.622898\pi\) |
−0.632901 | + | 0.774233i | \(0.718136\pi\) | |||||||
\(614\) | 14.9023 | − | 4.59675i | 0.601408 | − | 0.185510i | ||||
\(615\) | 28.4830 | + | 16.8910i | 1.14854 | + | 0.681110i | ||||
\(616\) | 2.18697 | − | 2.63557i | 0.0881155 | − | 0.106190i | ||||
\(617\) | 27.0168 | − | 25.0679i | 1.08765 | − | 1.00920i | 0.0877393 | − | 0.996143i | \(-0.472036\pi\) |
0.999915 | − | 0.0130520i | \(-0.00415471\pi\) | |||||||
\(618\) | 2.84480 | − | 8.85433i | 0.114435 | − | 0.356173i | ||||
\(619\) | −15.3667 | −0.617640 | −0.308820 | − | 0.951120i | \(-0.599934\pi\) | ||||
−0.308820 | + | 0.951120i | \(0.599934\pi\) | |||||||
\(620\) | −6.88234 | + | 6.38588i | −0.276401 | + | 0.256463i | ||||
\(621\) | 30.1893 | − | 5.78662i | 1.21145 | − | 0.232209i | ||||
\(622\) | −16.0197 | + | 20.0880i | −0.642330 | + | 0.805456i | ||||
\(623\) | −3.54167 | + | 0.463589i | −0.141894 | + | 0.0185733i | ||||
\(624\) | −7.02237 | − | 5.73552i | −0.281120 | − | 0.229605i | ||||
\(625\) | −5.42586 | − | 23.7722i | −0.217034 | − | 0.950889i | ||||
\(626\) | 30.2366 | − | 4.55743i | 1.20850 | − | 0.182151i | ||||
\(627\) | 5.81550 | + | 1.39896i | 0.232249 | + | 0.0558693i | ||||
\(628\) | 19.1485 | + | 2.88617i | 0.764107 | + | 0.115171i | ||||
\(629\) | 0.643667 | − | 0.309974i | 0.0256647 | − | 0.0123595i | ||||
\(630\) | −18.0961 | − | 24.7979i | −0.720964 | − | 0.987973i | ||||
\(631\) | 29.1705 | + | 14.0478i | 1.16126 | + | 0.559232i | 0.912397 | − | 0.409307i | \(-0.134230\pi\) |
0.248861 | + | 0.968539i | \(0.419944\pi\) | |||||||
\(632\) | −11.9580 | − | 8.15282i | −0.475664 | − | 0.324302i | ||||
\(633\) | −12.3331 | − | 7.31379i | −0.490198 | − | 0.290697i | ||||
\(634\) | −1.47462 | + | 19.6774i | −0.0585647 | + | 0.781491i | ||||
\(635\) | −30.5448 | − | 38.3020i | −1.21213 | − | 1.51997i | ||||
\(636\) | 5.96699 | + | 6.58337i | 0.236607 | + | 0.261047i | ||||
\(637\) | 27.8104 | − | 23.8609i | 1.10189 | − | 0.945402i | ||||
\(638\) | 9.36964 | 0.370948 | ||||||||
\(639\) | 16.3399 | − | 10.5902i | 0.646398 | − | 0.418944i | ||||
\(640\) | 3.19561 | + | 2.17873i | 0.126318 | + | 0.0861219i | ||||
\(641\) | 5.98351 | − | 26.2155i | 0.236335 | − | 1.03545i | −0.707935 | − | 0.706277i | \(-0.750373\pi\) |
0.944270 | − | 0.329172i | \(-0.106770\pi\) | |||||||
\(642\) | −25.2728 | − | 10.2609i | −0.997439 | − | 0.404965i | ||||
\(643\) | 0.673873 | + | 8.99221i | 0.0265750 | + | 0.354618i | 0.994601 | + | 0.103770i | \(0.0330905\pi\) |
−0.968026 | + | 0.250848i | \(0.919290\pi\) | |||||||
\(644\) | −5.43377 | − | 14.6780i | −0.214120 | − | 0.578393i | ||||
\(645\) | 34.3755 | − | 26.7632i | 1.35354 | − | 1.05380i | ||||
\(646\) | 13.7014 | + | 2.06515i | 0.539075 | + | 0.0812524i | ||||
\(647\) | 0.993298 | + | 13.2546i | 0.0390506 | + | 0.521094i | 0.982090 | + | 0.188413i | \(0.0603342\pi\) |
−0.943039 | + | 0.332681i | \(0.892047\pi\) | |||||||
\(648\) | 4.13130 | + | 7.99577i | 0.162293 | + | 0.314103i | ||||
\(649\) | −12.5473 | − | 3.87034i | −0.492526 | − | 0.151924i | ||||
\(650\) | −51.5502 | + | 7.76994i | −2.02196 | + | 0.304762i | ||||
\(651\) | 4.51239 | + | 10.1677i | 0.176854 | + | 0.398505i | ||||
\(652\) | 5.79699 | + | 0.873756i | 0.227028 | + | 0.0342189i | ||||
\(653\) | −23.2360 | − | 11.1899i | −0.909296 | − | 0.437894i | −0.0800583 | − | 0.996790i | \(-0.525511\pi\) |
−0.829237 | + | 0.558896i | \(0.811225\pi\) | |||||||
\(654\) | −5.03149 | − | 10.7677i | −0.196747 | − | 0.421052i | ||||
\(655\) | −9.19631 | −0.359329 | ||||||||
\(656\) | −2.47162 | + | 4.28098i | −0.0965006 | + | 0.167144i | ||||
\(657\) | −27.2071 | − | 35.8001i | −1.06145 | − | 1.39670i | ||||
\(658\) | −8.76743 | + | 5.73105i | −0.341790 | + | 0.223420i | ||||
\(659\) | −28.0246 | − | 26.0030i | −1.09168 | − | 1.01293i | −0.999853 | − | 0.0171597i | \(-0.994538\pi\) |
−0.0918308 | − | 0.995775i | \(-0.529272\pi\) | |||||||
\(660\) | −0.101218 | + | 8.67086i | −0.00393992 | + | 0.337513i | ||||
\(661\) | 1.01366 | + | 2.58275i | 0.0394266 | + | 0.100457i | 0.949231 | − | 0.314580i | \(-0.101864\pi\) |
−0.909804 | + | 0.415038i | \(0.863768\pi\) | |||||||
\(662\) | −1.23562 | − | 3.14832i | −0.0480239 | − | 0.122363i | ||||
\(663\) | 0.549685 | − | 47.0886i | 0.0213480 | − | 1.82877i | ||||
\(664\) | −9.59425 | − | 8.90216i | −0.372329 | − | 0.345471i | ||||
\(665\) | −25.9254 | − | 8.55239i | −1.00534 | − | 0.331647i | ||||
\(666\) | 0.409372 | − | 0.0519613i | 0.0158629 | − | 0.00201346i | ||||
\(667\) | 21.4100 | − | 37.0832i | 0.828997 | − | 1.43587i | ||||
\(668\) | −7.16602 | −0.277261 | ||||||||
\(669\) | 9.62389 | + | 20.5958i | 0.372081 | + | 0.796280i | ||||
\(670\) | 21.9024 | + | 10.5476i | 0.846163 | + | 0.407490i | ||||
\(671\) | −11.5540 | − | 1.74149i | −0.446038 | − | 0.0672295i | ||||
\(672\) | 3.66996 | − | 2.74434i | 0.141572 | − | 0.105865i | ||||
\(673\) | 12.4606 | − | 1.87814i | 0.480321 | − | 0.0723968i | 0.0955811 | − | 0.995422i | \(-0.469529\pi\) |
0.384740 | + | 0.923025i | \(0.374291\pi\) | |||||||
\(674\) | 11.7358 | + | 3.62002i | 0.452047 | + | 0.139438i | ||||
\(675\) | 50.0159 | + | 13.2741i | 1.92511 | + | 0.510922i | ||||
\(676\) | 1.07636 | + | 14.3630i | 0.0413985 | + | 0.552424i | ||||
\(677\) | 32.2722 | + | 4.86426i | 1.24032 | + | 0.186949i | 0.736248 | − | 0.676712i | \(-0.236596\pi\) |
0.504074 | + | 0.863660i | \(0.331834\pi\) | |||||||
\(678\) | 15.6583 | − | 12.1908i | 0.601354 | − | 0.468186i | ||||
\(679\) | −20.6079 | − | 19.8808i | −0.790857 | − | 0.762955i | ||||
\(680\) | 1.50116 | + | 20.0316i | 0.0575669 | + | 0.768177i | ||||
\(681\) | −29.6125 | − | 12.0228i | −1.13475 | − | 0.460715i | ||||
\(682\) | 0.699209 | − | 3.06343i | 0.0267741 | − | 0.117305i | ||||
\(683\) | 35.4173 | + | 24.1471i | 1.35520 | + | 0.923963i | 0.999942 | − | 0.0108040i | \(-0.00343910\pi\) |
0.355263 | + | 0.934767i | \(0.384391\pi\) | |||||||
\(684\) | 7.12789 | + | 3.63998i | 0.272542 | + | 0.139178i | ||||
\(685\) | 25.8793 | 0.988798 | ||||||||
\(686\) | 8.30932 | + | 16.5516i | 0.317251 | + | 0.631943i | ||||
\(687\) | 27.7518 | + | 30.6185i | 1.05880 | + | 1.16817i | ||||
\(688\) | 4.05473 | + | 5.08447i | 0.154585 | + | 0.193844i | ||||
\(689\) | 2.00678 | − | 26.7787i | 0.0764524 | − | 1.02019i | ||||
\(690\) | 34.0862 | + | 20.2138i | 1.29764 | + | 0.769527i | ||||
\(691\) | −9.66341 | − | 6.58840i | −0.367614 | − | 0.250635i | 0.365397 | − | 0.930852i | \(-0.380933\pi\) |
−0.733011 | + | 0.680217i | \(0.761886\pi\) | |||||||
\(692\) | −4.21754 | − | 2.03106i | −0.160327 | − | 0.0772093i | ||||
\(693\) | 9.67933 | + | 3.44561i | 0.367687 | + | 0.130888i | ||||
\(694\) | 11.0907 | − | 5.34100i | 0.420997 | − | 0.202741i | ||||
\(695\) | 35.4428 | + | 5.34214i | 1.34442 | + | 0.202639i | ||||
\(696\) | 12.1895 | + | 2.93227i | 0.462041 | + | 0.111148i | ||||
\(697\) | −25.3874 | + | 3.82653i | −0.961615 | + | 0.144940i | ||||
\(698\) | −4.95777 | − | 21.7214i | −0.187654 | − | 0.822168i | ||||
\(699\) | −1.18141 | − | 0.964919i | −0.0446851 | − | 0.0364966i | ||||
\(700\) | 2.47951 | − | 26.2316i | 0.0937167 | − | 0.991460i | ||||
\(701\) | 21.4879 | − | 26.9450i | 0.811587 | − | 1.01770i | −0.187783 | − | 0.982210i | \(-0.560130\pi\) |
0.999370 | − | 0.0354870i | \(-0.0112982\pi\) | |||||||
\(702\) | 8.92273 | − | 25.6958i | 0.336767 | − | 0.969826i | ||||
\(703\) | 0.269006 | − | 0.249601i | 0.0101458 | − | 0.00941388i | ||||
\(704\) | −1.29444 | −0.0487862 | ||||||||
\(705\) | 8.11246 | − | 25.2497i | 0.305533 | − | 0.950958i | ||||
\(706\) | −6.70300 | + | 6.21947i | −0.252271 | + | 0.234073i | ||||
\(707\) | −7.19265 | − | 34.6010i | −0.270508 | − | 1.30130i | ||||
\(708\) | −15.1123 | − | 8.96188i | −0.567954 | − | 0.336808i | ||||
\(709\) | 12.8361 | − | 3.95942i | 0.482070 | − | 0.148699i | −0.0441888 | − | 0.999023i | \(-0.514070\pi\) |
0.526259 | + | 0.850324i | \(0.323594\pi\) | |||||||
\(710\) | 24.8229 | + | 3.74145i | 0.931587 | + | 0.140414i | ||||
\(711\) | 10.6470 | − | 42.0928i | 0.399294 | − | 1.57860i | ||||
\(712\) | 0.989652 | + | 0.918263i | 0.0370888 | + | 0.0344134i | ||||
\(713\) | −10.5267 | − | 9.76738i | −0.394229 | − | 0.365791i | ||||
\(714\) | 23.0282 | + | 6.01556i | 0.861807 | + | 0.225127i | ||||
\(715\) | 19.2118 | − | 17.8259i | 0.718479 | − | 0.666652i | ||||
\(716\) | −7.18676 | −0.268582 | ||||||||
\(717\) | −2.22009 | + | 6.90992i | −0.0829106 | + | 0.258056i | ||||
\(718\) | −0.982194 | − | 4.30327i | −0.0366551 | − | 0.160597i | ||||
\(719\) | −19.9094 | + | 13.5740i | −0.742495 | + | 0.506225i | −0.874501 | − | 0.485024i | \(-0.838811\pi\) |
0.132005 | + | 0.991249i | \(0.457858\pi\) | |||||||
\(720\) | −2.84527 | + | 11.2487i | −0.106037 | + | 0.419215i | ||||
\(721\) | −2.89128 | − | 13.9088i | −0.107677 | − | 0.517991i | ||||
\(722\) | −11.7499 | + | 1.77102i | −0.437287 | + | 0.0659104i | ||||
\(723\) | 12.7918 | − | 18.2995i | 0.475732 | − | 0.680565i | ||||
\(724\) | −13.4674 | + | 2.02989i | −0.500513 | + | 0.0754402i | ||||
\(725\) | 59.5597 | − | 40.6071i | 2.21199 | − | 1.50811i | ||||
\(726\) | 8.94144 | + | 13.4493i | 0.331848 | + | 0.499152i | ||||
\(727\) | 2.74112 | − | 36.5777i | 0.101662 | − | 1.35659i | −0.680148 | − | 0.733075i | \(-0.738084\pi\) |
0.781810 | − | 0.623517i | \(-0.214297\pi\) | |||||||
\(728\) | −13.6526 | − | 2.33013i | −0.505999 | − | 0.0863602i | ||||
\(729\) | −18.2702 | + | 19.8796i | −0.676674 | + | 0.736283i | ||||
\(730\) | 4.33211 | − | 57.8080i | 0.160339 | − | 2.13957i | ||||
\(731\) | −7.51601 | + | 32.9298i | −0.277990 | + | 1.21795i | ||||
\(732\) | −14.4863 | − | 5.88149i | −0.535427 | − | 0.217386i | ||||
\(733\) | −10.7426 | − | 13.4708i | −0.396787 | − | 0.497556i | 0.542801 | − | 0.839861i | \(-0.317364\pi\) |
−0.939589 | + | 0.342305i | \(0.888792\pi\) | |||||||
\(734\) | −14.4675 | − | 25.0585i | −0.534006 | − | 0.924925i | ||||
\(735\) | −42.7297 | − | 19.3161i | −1.57611 | − | 0.712486i | ||||
\(736\) | −2.95785 | + | 5.12314i | −0.109028 | + | 0.188842i | ||||
\(737\) | −8.04522 | + | 1.21262i | −0.296350 | + | 0.0446675i | ||||
\(738\) | −14.6085 | − | 2.55197i | −0.537747 | − | 0.0939392i | ||||
\(739\) | 11.1922 | − | 3.45234i | 0.411712 | − | 0.126996i | −0.0819781 | − | 0.996634i | \(-0.526124\pi\) |
0.493690 | + | 0.869638i | \(0.335648\pi\) | |||||||
\(740\) | 0.439564 | + | 0.299689i | 0.0161587 | + | 0.0110168i | ||||
\(741\) | −6.85960 | − | 23.1962i | −0.251994 | − | 0.852133i | ||||
\(742\) | 12.8891 | + | 4.25190i | 0.473172 | + | 0.156092i | ||||
\(743\) | −1.29235 | − | 0.881110i | −0.0474118 | − | 0.0323248i | 0.539382 | − | 0.842061i | \(-0.318658\pi\) |
−0.586794 | + | 0.809736i | \(0.699610\pi\) | |||||||
\(744\) | 1.86835 | − | 3.76656i | 0.0684972 | − | 0.138089i | ||||
\(745\) | 37.2247 | + | 17.9265i | 1.36381 | + | 0.656775i | ||||
\(746\) | −12.1432 | + | 30.9404i | −0.444595 | + | 1.13281i | ||||
\(747\) | 15.1942 | − | 36.2053i | 0.555925 | − | 1.32468i | ||||
\(748\) | −4.19176 | − | 5.25630i | −0.153266 | − | 0.192189i | ||||
\(749\) | −41.3130 | + | 5.40768i | −1.50954 | + | 0.197592i | ||||
\(750\) | 18.3912 | + | 27.6633i | 0.671552 | + | 1.01012i | ||||
\(751\) | −0.881916 | − | 0.424708i | −0.0321816 | − | 0.0154978i | 0.417724 | − | 0.908574i | \(-0.362828\pi\) |
−0.449905 | + | 0.893076i | \(0.648542\pi\) | |||||||
\(752\) | 3.78306 | + | 1.16692i | 0.137954 | + | 0.0425532i | ||||
\(753\) | 5.23685 | + | 5.77780i | 0.190841 | + | 0.210555i | ||||
\(754\) | −18.9457 | − | 32.8150i | −0.689963 | − | 1.19505i | ||||
\(755\) | −1.77801 | − | 7.78998i | −0.0647085 | − | 0.283506i | ||||
\(756\) | 11.5140 | + | 7.51178i | 0.418762 | + | 0.273201i | ||||
\(757\) | −4.25273 | + | 18.6324i | −0.154568 | + | 0.677206i | 0.836955 | + | 0.547272i | \(0.184334\pi\) |
−0.991523 | + | 0.129934i | \(0.958523\pi\) | |||||||
\(758\) | 18.1053 | − | 5.58474i | 0.657613 | − | 0.202847i | ||||
\(759\) | −13.2368 | + | 0.836712i | −0.480466 | + | 0.0303707i | ||||
\(760\) | 3.76969 | + | 9.60502i | 0.136741 | + | 0.348411i | ||||
\(761\) | 4.02984 | − | 17.6559i | 0.146082 | − | 0.640025i | −0.847870 | − | 0.530204i | \(-0.822115\pi\) |
0.993951 | − | 0.109821i | \(-0.0350276\pi\) | |||||||
\(762\) | 18.8705 | + | 11.1906i | 0.683608 | + | 0.405393i | ||||
\(763\) | −14.7987 | − | 10.5168i | −0.535750 | − | 0.380735i | ||||
\(764\) | −4.48226 | − | 19.6380i | −0.162162 | − | 0.710480i | ||||
\(765\) | −54.8910 | + | 24.8727i | −1.98459 | + | 0.899275i | ||||
\(766\) | −2.59112 | − | 4.48796i | −0.0936211 | − | 0.162156i | ||||
\(767\) | 11.8162 | + | 51.7701i | 0.426657 | + | 1.86931i | ||||
\(768\) | −1.68401 | − | 0.405102i | −0.0607665 | − | 0.0146179i | ||||
\(769\) | −23.7775 | − | 3.58389i | −0.857440 | − | 0.129238i | −0.294414 | − | 0.955678i | \(-0.595125\pi\) |
−0.563025 | + | 0.826440i | \(0.690363\pi\) | |||||||
\(770\) | 6.39864 | + | 11.5979i | 0.230591 | + | 0.417958i | ||||
\(771\) | −3.35333 | + | 20.6124i | −0.120767 | + | 0.742336i | ||||
\(772\) | −18.1330 | + | 16.8249i | −0.652620 | + | 0.605543i | ||||
\(773\) | 3.26585 | − | 8.32124i | 0.117464 | − | 0.299294i | −0.860034 | − | 0.510236i | \(-0.829558\pi\) |
0.977499 | + | 0.210942i | \(0.0676531\pi\) | |||||||
\(774\) | −10.1467 | + | 16.6637i | −0.364715 | + | 0.598965i | ||||
\(775\) | −8.83198 | − | 22.5035i | −0.317254 | − | 0.808350i | ||||
\(776\) | −0.808788 | + | 10.7925i | −0.0290338 | + | 0.387429i | ||||
\(777\) | 0.504812 | − | 0.377490i | 0.0181100 | − | 0.0135424i | ||||
\(778\) | 1.83446 | + | 24.4791i | 0.0657685 | + | 0.877620i | ||||
\(779\) | −11.8818 | + | 5.72196i | −0.425709 | + | 0.205011i | ||||
\(780\) | 30.5723 | − | 17.1783i | 1.09467 | − | 0.615081i | ||||
\(781\) | −7.56964 | + | 3.64535i | −0.270863 | + | 0.130441i | ||||
\(782\) | −30.3817 | + | 4.57930i | −1.08645 | + | 0.163755i | ||||
\(783\) | 4.30015 | + | 37.3650i | 0.153675 | + | 1.33532i | ||||
\(784\) | 2.80879 | − | 6.41176i | 0.100314 | − | 0.228992i | ||||
\(785\) | −37.4481 | + | 64.8621i | −1.33658 | + | 2.31503i | ||||
\(786\) | 3.85099 | − | 1.45976i | 0.137360 | − | 0.0520679i | ||||
\(787\) | 1.29991 | − | 17.3461i | 0.0463367 | − | 0.618321i | −0.924901 | − | 0.380208i | \(-0.875852\pi\) |
0.971238 | − | 0.238112i | \(-0.0765287\pi\) | |||||||
\(788\) | 14.9995 | + | 13.9175i | 0.534335 | + | 0.495790i | ||||
\(789\) | −41.2366 | − | 16.7422i | −1.46806 | − | 0.596039i | ||||
\(790\) | 46.2495 | − | 31.5324i | 1.64548 | − | 1.12187i | ||||
\(791\) | 11.6210 | − | 27.9967i | 0.413196 | − | 0.995449i | ||||
\(792\) | −1.33397 | − | 3.64702i | −0.0474005 | − | 0.129591i | ||||
\(793\) | 17.2635 | + | 43.9866i | 0.613044 | + | 1.56201i | ||||
\(794\) | −17.1447 | − | 8.25647i | −0.608444 | − | 0.293011i | ||||
\(795\) | −32.1336 | + | 12.1806i | −1.13966 | + | 0.432001i | ||||
\(796\) | 3.07485 | + | 13.4718i | 0.108985 | + | 0.477495i | ||||
\(797\) | 1.68681 | − | 4.29792i | 0.0597498 | − | 0.152240i | −0.897881 | − | 0.440237i | \(-0.854894\pi\) |
0.957631 | + | 0.287998i | \(0.0929895\pi\) | |||||||
\(798\) | 12.2139 | − | 0.533878i | 0.432368 | − | 0.0188991i | ||||
\(799\) | 7.51210 | + | 19.1405i | 0.265759 | + | 0.677143i | ||||
\(800\) | −8.22834 | + | 5.60999i | −0.290916 | + | 0.198343i | ||||
\(801\) | −1.56729 | + | 3.73459i | −0.0553773 | + | 0.131955i | ||||
\(802\) | −9.37421 | − | 16.2366i | −0.331015 | − | 0.573334i | ||||
\(803\) | 9.70082 | + | 16.8023i | 0.342335 | + | 0.592941i | ||||
\(804\) | −10.8460 | − | 0.940224i | −0.382508 | − | 0.0331592i | ||||
\(805\) | 60.5231 | + | 1.17697i | 2.13316 | + | 0.0414826i | ||||
\(806\) | −12.1428 | + | 3.74555i | −0.427711 | + | 0.131931i | ||||
\(807\) | −22.5578 | − | 13.3772i | −0.794073 | − | 0.470901i | ||||
\(808\) | −8.32827 | + | 10.4433i | −0.292988 | + | 0.367395i | ||||
\(809\) | 37.6292 | + | 5.67169i | 1.32297 | + | 0.199406i | 0.772270 | − | 0.635295i | \(-0.219122\pi\) |
0.550703 | + | 0.834701i | \(0.314360\pi\) | |||||||
\(810\) | −34.6248 | + | 3.57581i | −1.21659 | + | 0.125641i | ||||
\(811\) | −3.61528 | + | 15.8396i | −0.126950 | + | 0.556202i | 0.870947 | + | 0.491377i | \(0.163506\pi\) |
−0.997897 | + | 0.0648254i | \(0.979351\pi\) | |||||||
\(812\) | 18.4064 | − | 5.28795i | 0.645937 | − | 0.185571i | ||||
\(813\) | 19.2201 | + | 41.1325i | 0.674080 | + | 1.44258i | ||||
\(814\) | −0.178054 | −0.00624078 | ||||||||
\(815\) | −11.3370 | + | 19.6363i | −0.397119 | + | 0.687830i | ||||
\(816\) | −3.80830 | − | 8.15003i | −0.133317 | − | 0.285308i | ||||
\(817\) | 1.29655 | + | 17.3012i | 0.0453604 | + | 0.605292i | ||||
\(818\) | 14.2260 | − | 17.8388i | 0.497399 | − | 0.623719i | ||||
\(819\) | −7.50448 | − | 40.8667i | −0.262228 | − | 1.42800i | ||||
\(820\) | −11.9204 | − | 14.9477i | −0.416277 | − | 0.521995i | ||||
\(821\) | −5.90405 | + | 5.47816i | −0.206053 | + | 0.191189i | −0.776448 | − | 0.630181i | \(-0.782981\pi\) |
0.570395 | + | 0.821370i | \(0.306790\pi\) | |||||||
\(822\) | −10.8371 | + | 4.10791i | −0.377986 | + | 0.143280i | ||||
\(823\) | −37.4641 | + | 25.5426i | −1.30592 | + | 0.890359i | −0.998132 | − | 0.0610972i | \(-0.980540\pi\) |
−0.307785 | + | 0.951456i | \(0.599588\pi\) | |||||||
\(824\) | −3.34778 | + | 4.19798i | −0.116625 | + | 0.146244i | ||||
\(825\) | −20.6879 | − | 8.39940i | −0.720261 | − | 0.292429i | ||||
\(826\) | −26.8331 | − | 0.521812i | −0.933645 | − | 0.0181562i | ||||
\(827\) | −32.4208 | − | 15.6130i | −1.12738 | − | 0.542918i | −0.225216 | − | 0.974309i | \(-0.572309\pi\) |
−0.902165 | + | 0.431391i | \(0.858023\pi\) | |||||||
\(828\) | −17.4823 | − | 3.05400i | −0.607554 | − | 0.106134i | ||||
\(829\) | −8.41772 | + | 2.59652i | −0.292359 | + | 0.0901809i | −0.437466 | − | 0.899235i | \(-0.644124\pi\) |
0.145106 | + | 0.989416i | \(0.453648\pi\) | |||||||
\(830\) | 45.6073 | − | 21.9633i | 1.58305 | − | 0.762358i | ||||
\(831\) | −5.13858 | + | 31.5860i | −0.178255 | + | 1.09571i | ||||
\(832\) | 2.61741 | + | 4.53348i | 0.0907423 | + | 0.157170i | ||||
\(833\) | 35.1316 | − | 9.35747i | 1.21724 | − | 0.324217i | ||||
\(834\) | −15.6898 | + | 3.38891i | −0.543293 | + | 0.117348i | ||||
\(835\) | 10.1257 | − | 25.7998i | 0.350414 | − | 0.892840i | ||||
\(836\) | −2.85330 | − | 1.94535i | −0.0986835 | − | 0.0672813i | ||||
\(837\) | 12.5375 | + | 1.38241i | 0.433359 | + | 0.0477831i | ||||
\(838\) | −0.109511 | + | 1.46132i | −0.00378299 | + | 0.0504804i | ||||
\(839\) | −23.1675 | + | 15.7953i | −0.799831 | + | 0.545315i | −0.892853 | − | 0.450349i | \(-0.851300\pi\) |
0.0930222 | + | 0.995664i | \(0.470347\pi\) | |||||||
\(840\) | 4.69474 | + | 17.0908i | 0.161984 | + | 0.589687i | ||||
\(841\) | 19.3289 | + | 13.1782i | 0.666514 | + | 0.454421i | ||||
\(842\) | −1.23646 | + | 1.55047i | −0.0426113 | + | 0.0534328i | ||||
\(843\) | 20.5531 | + | 4.94421i | 0.707887 | + | 0.170288i | ||||
\(844\) | 5.16152 | + | 6.47234i | 0.177667 | + | 0.222787i | ||||
\(845\) | −53.2322 | − | 16.4200i | −1.83124 | − | 0.564864i | ||||
\(846\) | 0.610842 | + | 11.8611i | 0.0210012 | + | 0.407793i | ||||
\(847\) | 22.0147 | + | 11.1341i | 0.756433 | + | 0.382572i | ||||
\(848\) | −1.87414 | − | 4.77523i | −0.0643582 | − | 0.163982i | ||||
\(849\) | 19.9870 | + | 4.80803i | 0.685953 | + | 0.165011i | ||||
\(850\) | −49.4259 | − | 15.2459i | −1.69529 | − | 0.522929i | ||||
\(851\) | −0.406859 | + | 0.704700i | −0.0139469 | + | 0.0241568i | ||||
\(852\) | −10.9886 | + | 2.37347i | −0.376463 | + | 0.0813139i | ||||
\(853\) | 12.3867 | + | 3.82079i | 0.424113 | + | 0.130821i | 0.499462 | − | 0.866336i | \(-0.333531\pi\) |
−0.0753495 | + | 0.997157i | \(0.524007\pi\) | |||||||
\(854\) | −23.6804 | + | 3.09966i | −0.810326 | + | 0.106068i | ||||
\(855\) | −23.1768 | + | 20.5192i | −0.792631 | + | 0.701742i | ||||
\(856\) | 11.5441 | + | 10.7114i | 0.394570 | + | 0.366108i | ||||
\(857\) | 7.21911 | − | 9.05248i | 0.246600 | − | 0.309227i | −0.643091 | − | 0.765790i | \(-0.722348\pi\) |
0.889691 | + | 0.456563i | \(0.150920\pi\) | |||||||
\(858\) | −5.21544 | + | 10.5142i | −0.178052 | + | 0.358949i | ||||
\(859\) | −9.57368 | + | 41.9450i | −0.326650 | + | 1.43115i | 0.498823 | + | 0.866704i | \(0.333766\pi\) |
−0.825472 | + | 0.564442i | \(0.809091\pi\) | |||||||
\(860\) | −24.0350 | + | 7.41383i | −0.819588 | + | 0.252809i | ||||
\(861\) | −21.3342 | + | 7.61593i | −0.727066 | + | 0.259550i | ||||
\(862\) | −10.8736 | − | 3.35406i | −0.370357 | − | 0.114240i | ||||
\(863\) | 7.35116 | − | 12.7326i | 0.250236 | − | 0.433422i | −0.713354 | − | 0.700803i | \(-0.752825\pi\) |
0.963591 | + | 0.267381i | \(0.0861583\pi\) | |||||||
\(864\) | −0.594079 | − | 5.16208i | −0.0202110 | − | 0.175618i | ||||
\(865\) | 13.2719 | − | 12.3145i | 0.451257 | − | 0.418705i | ||||
\(866\) | −0.844878 | − | 11.2741i | −0.0287101 | − | 0.383110i | ||||
\(867\) | 7.67777 | − | 15.4782i | 0.260751 | − | 0.525669i | ||||
\(868\) | −0.355339 | − | 6.41263i | −0.0120610 | − | 0.217659i | ||||
\(869\) | −6.84438 | + | 17.4392i | −0.232180 | + | 0.591584i | ||||
\(870\) | −27.7810 | + | 39.7425i | −0.941863 | + | 1.34740i | ||||
\(871\) | 20.5146 | + | 25.7246i | 0.695112 | + | 0.871643i | ||||
\(872\) | 0.512796 | + | 6.84278i | 0.0173655 | + | 0.231726i | ||||
\(873\) | −31.2408 | + | 8.84336i | −1.05734 | + | 0.299302i | ||||
\(874\) | −14.2192 | + | 6.84761i | −0.480972 | + | 0.231624i | ||||
\(875\) | 45.2809 | + | 22.9011i | 1.53077 | + | 0.774200i | ||||
\(876\) | 7.36196 | + | 24.8950i | 0.248738 | + | 0.841123i | ||||
\(877\) | 9.78418 | − | 4.71181i | 0.330388 | − | 0.159107i | −0.261334 | − | 0.965248i | \(-0.584162\pi\) |
0.591722 | + | 0.806142i | \(0.298448\pi\) | |||||||
\(878\) | −5.66992 | − | 5.26092i | −0.191350 | − | 0.177547i | ||||
\(879\) | −3.36329 | − | 24.2298i | −0.113441 | − | 0.817250i | ||||
\(880\) | 1.82907 | − | 4.66039i | 0.0616578 | − | 0.157102i | ||||
\(881\) | 41.7340 | 1.40606 | 0.703028 | − | 0.711163i | \(-0.251831\pi\) | ||||
0.703028 | + | 0.711163i | \(0.251831\pi\) | |||||||
\(882\) | 20.9593 | + | 1.30607i | 0.705738 | + | 0.0439776i | ||||
\(883\) | −7.44387 | −0.250506 | −0.125253 | − | 0.992125i | \(-0.539974\pi\) | ||||
−0.125253 | + | 0.992125i | \(0.539974\pi\) | |||||||
\(884\) | −9.93307 | + | 25.3091i | −0.334085 | + | 0.851236i | ||||
\(885\) | 53.6193 | − | 41.7455i | 1.80239 | − | 1.40326i | ||||
\(886\) | −11.3264 | − | 10.5094i | −0.380519 | − | 0.353070i | ||||
\(887\) | −33.1694 | + | 15.9736i | −1.11372 | + | 0.536340i | −0.897947 | − | 0.440104i | \(-0.854942\pi\) |
−0.215774 | + | 0.976443i | \(0.569227\pi\) | |||||||
\(888\) | −0.231640 | − | 0.0557227i | −0.00777332 | − | 0.00186993i | ||||
\(889\) | 33.5063 | + | 0.651582i | 1.12377 | + | 0.0218534i | ||||
\(890\) | −4.70442 | + | 2.26553i | −0.157692 | + | 0.0759407i | ||||
\(891\) | 8.90059 | − | 7.51677i | 0.298181 | − | 0.251821i | ||||
\(892\) | −0.980842 | − | 13.0884i | −0.0328410 | − | 0.438233i | ||||
\(893\) | 6.58519 | + | 8.25756i | 0.220365 | + | 0.276329i | ||||
\(894\) | −18.4335 | − | 1.59798i | −0.616509 | − | 0.0534444i | ||||
\(895\) | 10.1550 | − | 25.8745i | 0.339444 | − | 0.864890i | ||||
\(896\) | −2.54289 | + | 0.730546i | −0.0849521 | + | 0.0244058i | ||||
\(897\) | 29.6957 | + | 44.6670i | 0.991510 | + | 1.49139i | ||||
\(898\) | 2.72141 | + | 36.3147i | 0.0908147 | + | 1.21184i | ||||
\(899\) | 12.8804 | − | 11.9512i | 0.429584 | − | 0.398596i | ||||
\(900\) | −24.2854 | − | 17.4016i | −0.809514 | − | 0.580054i | ||||
\(901\) | 13.3216 | − | 23.0737i | 0.443808 | − | 0.768698i | ||||
\(902\) | 6.11447 | + | 1.88606i | 0.203590 | + | 0.0627991i | ||||
\(903\) | −0.927192 | + | 29.7874i | −0.0308550 | + | 0.991262i | ||||
\(904\) | −10.9481 | + | 3.37705i | −0.364130 | + | 0.112319i | ||||
\(905\) | 11.7215 | − | 51.3551i | 0.389635 | − | 1.70710i | ||||
\(906\) | 1.98108 | + | 2.97985i | 0.0658169 | + | 0.0989990i | ||||
\(907\) | 0.433393 | − | 0.543458i | 0.0143906 | − | 0.0180452i | −0.774584 | − | 0.632471i | \(-0.782041\pi\) |
0.788975 | + | 0.614426i | \(0.210612\pi\) | |||||||
\(908\) | 13.5264 | + | 12.5507i | 0.448890 | + | 0.416509i | ||||
\(909\) | −38.0061 | − | 12.7022i | −1.26058 | − | 0.421307i | ||||
\(910\) | 27.6805 | − | 45.8610i | 0.917599 | − | 1.52028i | ||||
\(911\) | −22.2339 | − | 6.85824i | −0.736641 | − | 0.227224i | −0.0963407 | − | 0.995348i | \(-0.530714\pi\) |
−0.640300 | + | 0.768125i | \(0.721190\pi\) | |||||||
\(912\) | −3.10321 | − | 3.42376i | −0.102758 | − | 0.113372i | ||||
\(913\) | −8.47089 | + | 14.6720i | −0.280346 | + | 0.485573i | ||||
\(914\) | 2.43197 | + | 0.750162i | 0.0804423 | + | 0.0248132i | ||||
\(915\) | 41.6444 | − | 43.8443i | 1.37672 | − | 1.44945i | ||||
\(916\) | −8.71641 | − | 22.2091i | −0.287998 | − | 0.733808i | ||||
\(917\) | 4.01721 | − | 4.84125i | 0.132660 | − | 0.159872i | ||||
\(918\) | 19.0377 | − | 19.1286i | 0.628337 | − | 0.631337i | ||||
\(919\) | −5.44390 | − | 1.67922i | −0.179578 | − | 0.0553924i | 0.203662 | − | 0.979041i | \(-0.434716\pi\) |
−0.383240 | + | 0.923649i | \(0.625192\pi\) | |||||||
\(920\) | −14.2654 | − | 17.8882i | −0.470316 | − | 0.589758i | ||||
\(921\) | −7.65997 | − | 25.9027i | −0.252405 | − | 0.853523i | ||||
\(922\) | −21.9803 | + | 27.5624i | −0.723881 | + | 0.907719i | ||||
\(923\) | 28.0730 | + | 19.1399i | 0.924035 | + | 0.629997i | ||||
\(924\) | −4.52042 | − | 3.84097i | −0.148711 | − | 0.126359i | ||||
\(925\) | −1.13183 | + | 0.771667i | −0.0372143 | + | 0.0253722i | ||||
\(926\) | 2.27771 | − | 30.3939i | 0.0748501 | − | 0.998806i | ||||
\(927\) | −15.2776 | − | 5.10602i | −0.501782 | − | 0.167704i | ||||
\(928\) | −5.98061 | − | 4.07751i | −0.196323 | − | 0.133851i | ||||
\(929\) | −3.02129 | + | 7.69811i | −0.0991252 | + | 0.252567i | −0.971831 | − | 0.235680i | \(-0.924268\pi\) |
0.872706 | + | 0.488247i | \(0.162363\pi\) | |||||||
\(930\) | 10.9208 | + | 12.0489i | 0.358106 | + | 0.395097i | ||||
\(931\) | 15.8272 | − | 9.91208i | 0.518716 | − | 0.324855i | ||||
\(932\) | 0.440341 | + | 0.762693i | 0.0144239 | + | 0.0249828i | ||||
\(933\) | 34.4672 | + | 28.1511i | 1.12841 | + | 0.921626i | ||||
\(934\) | 16.6593 | − | 8.02272i | 0.545110 | − | 0.262511i | ||||
\(935\) | 24.8473 | − | 7.66437i | 0.812593 | − | 0.250652i | ||||
\(936\) | −10.0755 | + | 12.0463i | −0.329328 | + | 0.393746i | ||||
\(937\) | 5.68165 | + | 2.73614i | 0.185611 | + | 0.0893857i | 0.524381 | − | 0.851483i | \(-0.324297\pi\) |
−0.338770 | + | 0.940869i | \(0.610011\pi\) | |||||||
\(938\) | −15.1202 | + | 6.92265i | −0.493693 | + | 0.226032i | ||||
\(939\) | −7.28185 | − | 52.4598i | −0.237634 | − | 1.71196i | ||||
\(940\) | −9.54678 | + | 11.9713i | −0.311382 | + | 0.390460i | ||||
\(941\) | 27.9751 | − | 19.0731i | 0.911962 | − | 0.621765i | −0.0137866 | − | 0.999905i | \(-0.504389\pi\) |
0.925748 | + | 0.378140i | \(0.123436\pi\) | |||||||
\(942\) | 5.38578 | − | 33.1055i | 0.175478 | − | 1.07864i | ||||
\(943\) | 21.4364 | − | 19.8901i | 0.698067 | − | 0.647711i | ||||
\(944\) | 6.32461 | + | 7.93082i | 0.205849 | + | 0.258126i | ||||
\(945\) | −43.3142 | + | 30.8398i | −1.40901 | + | 1.00322i | ||||
\(946\) | 5.24862 | − | 6.58156i | 0.170647 | − | 0.213985i | ||||
\(947\) | −0.548030 | − | 7.31296i | −0.0178086 | − | 0.237639i | −0.999004 | − | 0.0446218i | \(-0.985792\pi\) |
0.981195 | − | 0.193017i | \(-0.0618273\pi\) | |||||||
\(948\) | −14.3619 | + | 20.5456i | −0.466453 | + | 0.667291i | ||||
\(949\) | 39.2308 | − | 67.9497i | 1.27349 | − | 2.20574i | ||||
\(950\) | −26.5684 | −0.861994 | ||||||||
\(951\) | 34.0502 | + | 2.95177i | 1.10415 | + | 0.0957178i | ||||
\(952\) | −11.2011 | − | 7.96012i | −0.363029 | − | 0.257989i | ||||
\(953\) | −12.4419 | + | 54.5115i | −0.403032 | + | 1.76580i | 0.211972 | + | 0.977276i | \(0.432012\pi\) |
−0.615004 | + | 0.788524i | \(0.710846\pi\) | |||||||
\(954\) | 11.5226 | − | 10.2013i | 0.373057 | − | 0.330280i | ||||
\(955\) | 77.0364 | + | 11.6114i | 2.49284 | + | 0.375735i | ||||
\(956\) | 2.61261 | − | 3.27611i | 0.0844978 | − | 0.105957i | ||||
\(957\) | 0.189431 | − | 16.2276i | 0.00612344 | − | 0.524564i | ||||
\(958\) | 21.6188 | − | 6.66853i | 0.698473 | − | 0.215450i | ||||
\(959\) | −11.3048 | + | 13.6238i | −0.365052 | + | 0.439934i | ||||
\(960\) | 3.83802 | − | 5.49053i | 0.123872 | − | 0.177206i | ||||
\(961\) | 12.5537 | + | 21.7437i | 0.404958 | + | 0.701408i | ||||
\(962\) | 0.360031 | + | 0.623591i | 0.0116079 | + | 0.0201054i | ||||
\(963\) | −18.2821 | + | 43.5634i | −0.589133 | + | 1.40381i | ||||
\(964\) | −10.6507 | + | 7.26152i | −0.343036 | + | 0.233878i | ||||
\(965\) | −34.9527 | − | 89.0581i | −1.12517 | − | 2.86688i | ||||
\(966\) | −25.5311 | + | 9.11417i | −0.821450 | + | 0.293244i | ||||
\(967\) | 7.22977 | − | 18.4212i | 0.232494 | − | 0.592384i | −0.766247 | − | 0.642546i | \(-0.777878\pi\) |
0.998741 | + | 0.0501613i | \(0.0159735\pi\) | |||||||
\(968\) | −2.07488 | − | 9.09063i | −0.0666891 | − | 0.292184i | ||||
\(969\) | 3.85372 | − | 23.6882i | 0.123799 | − | 0.760973i | ||||
\(970\) | −37.7135 | − | 18.1619i | −1.21091 | − | 0.583143i | ||||
\(971\) | 18.0135 | + | 45.8977i | 0.578081 | + | 1.47293i | 0.858380 | + | 0.513014i | \(0.171471\pi\) |
−0.280299 | + | 0.959913i | \(0.590434\pi\) | |||||||
\(972\) | 13.9317 | − | 6.99349i | 0.446858 | − | 0.224316i | ||||
\(973\) | −18.2947 | + | 16.3247i | −0.586502 | + | 0.523346i | ||||
\(974\) | −0.204169 | + | 0.139200i | −0.00654201 | + | 0.00446027i | ||||
\(975\) | 12.4148 | + | 89.4385i | 0.397592 | + | 2.86433i | ||||
\(976\) | 6.61703 | + | 6.13971i | 0.211806 | + | 0.196527i | ||||
\(977\) | −1.51497 | + | 20.2159i | −0.0484683 | + | 0.646765i | 0.919079 | + | 0.394074i | \(0.128935\pi\) |
−0.967547 | + | 0.252691i | \(0.918684\pi\) | |||||||
\(978\) | 1.63049 | − | 10.0223i | 0.0521373 | − | 0.320479i | ||||
\(979\) | 0.873777 | − | 1.51343i | 0.0279260 | − | 0.0483693i | ||||
\(980\) | 19.1154 | + | 19.1724i | 0.610620 | + | 0.612440i | ||||
\(981\) | −18.7507 | + | 8.49650i | −0.598664 | + | 0.271272i | ||||
\(982\) | 16.7551 | − | 2.52543i | 0.534677 | − | 0.0805896i | ||||
\(983\) | 30.0232 | − | 14.4584i | 0.957590 | − | 0.461151i | 0.111249 | − | 0.993793i | \(-0.464515\pi\) |
0.846341 | + | 0.532642i | \(0.178801\pi\) | |||||||
\(984\) | 7.36439 | + | 4.36723i | 0.234768 | + | 0.139222i | ||||
\(985\) | −71.3017 | + | 34.3371i | −2.27186 | + | 1.09407i | ||||
\(986\) | −2.80944 | − | 37.4893i | −0.0894707 | − | 1.19390i | ||||
\(987\) | 9.74854 | + | 15.3005i | 0.310299 | + | 0.487019i | ||||
\(988\) | −1.04365 | + | 13.9266i | −0.0332030 | + | 0.443064i | ||||
\(989\) | −14.0552 | − | 35.8121i | −0.446930 | − | 1.13876i | ||||
\(990\) | 15.0153 | + | 0.350607i | 0.477218 | + | 0.0111430i | ||||
\(991\) | −1.55107 | + | 3.95205i | −0.0492712 | + | 0.125541i | −0.953391 | − | 0.301739i | \(-0.902433\pi\) |
0.904119 | + | 0.427280i | \(0.140528\pi\) | |||||||
\(992\) | −1.77946 | + | 1.65110i | −0.0564978 | + | 0.0524223i | ||||
\(993\) | −5.47766 | + | 2.07637i | −0.173828 | + | 0.0658915i | ||||
\(994\) | −12.8130 | + | 11.4333i | −0.406403 | + | 0.362641i | ||||
\(995\) | −52.8473 | − | 7.96545i | −1.67537 | − | 0.252522i | ||||
\(996\) | −15.6119 | + | 16.4366i | −0.494683 | + | 0.520814i | ||||
\(997\) | 12.3943 | + | 54.3031i | 0.392533 | + | 1.71980i | 0.655677 | + | 0.755041i | \(0.272383\pi\) |
−0.263145 | + | 0.964756i | \(0.584760\pi\) | |||||||
\(998\) | 2.29032 | + | 3.96695i | 0.0724989 | + | 0.125572i | ||||
\(999\) | −0.0817169 | − | 0.710056i | −0.00258541 | − | 0.0224652i |
(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 | 882.2.y.a.583.25 | ✓ | 336 | |
9.4 | even | 3 | 882.2.bb.b.877.22 | yes | 336 | ||
49.39 | even | 21 | 882.2.bb.b.529.22 | yes | 336 | ||
441.382 | even | 21 | inner | 882.2.y.a.823.25 | yes | 336 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
882.2.y.a.583.25 | ✓ | 336 | 1.1 | even | 1 | trivial | |
882.2.y.a.823.25 | yes | 336 | 441.382 | even | 21 | inner | |
882.2.bb.b.529.22 | yes | 336 | 49.39 | even | 21 | ||
882.2.bb.b.877.22 | yes | 336 | 9.4 | even | 3 |