Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [378,2,Mod(43,378)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(378, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([4, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("378.43");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 378 = 2 \cdot 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 378.u (of order \(9\), 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: | \(3.01834519640\) |
Analytic rank: | \(0\) |
Dimension: | \(30\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 211.1 | ||
Character | \(\chi\) | \(=\) | 378.211 |
Dual form | 378.2.u.d.43.1 |
$q$-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 \(\left(\mathbb{Z}/378\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(325\) |
\(\chi(n)\) | \(e\left(\frac{7}{9}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.766044 | − | 0.642788i | 0.541675 | − | 0.454519i | ||||
\(3\) | −1.62854 | + | 0.589807i | −0.940235 | + | 0.340525i | ||||
\(4\) | 0.173648 | − | 0.984808i | 0.0868241 | − | 0.492404i | ||||
\(5\) | −1.36620 | + | 0.497255i | −0.610981 | + | 0.222379i | −0.628933 | − | 0.777460i | \(-0.716508\pi\) |
0.0179513 | + | 0.999839i | \(0.494286\pi\) | |||||||
\(6\) | −0.868410 | + | 1.49862i | −0.354527 | + | 0.611809i | ||||
\(7\) | −0.173648 | − | 0.984808i | −0.0656328 | − | 0.372222i | ||||
\(8\) | −0.500000 | − | 0.866025i | −0.176777 | − | 0.306186i | ||||
\(9\) | 2.30426 | − | 1.92104i | 0.768085 | − | 0.640347i | ||||
\(10\) | −0.726937 | + | 1.25909i | −0.229878 | + | 0.398160i | ||||
\(11\) | −1.57538 | − | 0.573391i | −0.474994 | − | 0.172884i | 0.0934191 | − | 0.995627i | \(-0.470220\pi\) |
−0.568413 | + | 0.822743i | \(0.692443\pi\) | |||||||
\(12\) | 0.298054 | + | 1.70621i | 0.0860407 | + | 0.492541i | ||||
\(13\) | −4.94978 | − | 4.15336i | −1.37282 | − | 1.15193i | −0.971784 | − | 0.235873i | \(-0.924205\pi\) |
−0.401038 | − | 0.916061i | \(-0.631351\pi\) | |||||||
\(14\) | −0.766044 | − | 0.642788i | −0.204734 | − | 0.171792i | ||||
\(15\) | 1.93161 | − | 1.61559i | 0.498741 | − | 0.417143i | ||||
\(16\) | −0.939693 | − | 0.342020i | −0.234923 | − | 0.0855050i | ||||
\(17\) | −2.56522 | + | 4.44309i | −0.622157 | + | 1.07761i | 0.366926 | + | 0.930250i | \(0.380410\pi\) |
−0.989083 | + | 0.147357i | \(0.952923\pi\) | |||||||
\(18\) | 0.530341 | − | 2.95275i | 0.125003 | − | 0.695970i | ||||
\(19\) | −2.75512 | − | 4.77200i | −0.632067 | − | 1.09477i | −0.987129 | − | 0.159929i | \(-0.948873\pi\) |
0.355062 | − | 0.934843i | \(-0.384460\pi\) | |||||||
\(20\) | 0.252463 | + | 1.43179i | 0.0564524 | + | 0.320157i | ||||
\(21\) | 0.863638 | + | 1.50138i | 0.188461 | + | 0.327627i | ||||
\(22\) | −1.57538 | + | 0.573391i | −0.335872 | + | 0.122247i | ||||
\(23\) | 0.955045 | − | 5.41633i | 0.199141 | − | 1.12938i | −0.707257 | − | 0.706957i | \(-0.750067\pi\) |
0.906397 | − | 0.422426i | \(-0.138821\pi\) | |||||||
\(24\) | 1.32506 | + | 1.11545i | 0.270476 | + | 0.227690i | ||||
\(25\) | −2.21099 | + | 1.85524i | −0.442199 | + | 0.371049i | ||||
\(26\) | −6.46148 | −1.26720 | ||||||||
\(27\) | −2.61952 | + | 4.48755i | −0.504127 | + | 0.863630i | ||||
\(28\) | −1.00000 | −0.188982 | ||||||||
\(29\) | 0.505252 | − | 0.423957i | 0.0938229 | − | 0.0787268i | −0.594670 | − | 0.803970i | \(-0.702717\pi\) |
0.688493 | + | 0.725243i | \(0.258273\pi\) | |||||||
\(30\) | 0.441222 | − | 2.47923i | 0.0805558 | − | 0.452643i | ||||
\(31\) | 0.857588 | − | 4.86362i | 0.154027 | − | 0.873533i | −0.805642 | − | 0.592402i | \(-0.798180\pi\) |
0.959670 | − | 0.281130i | \(-0.0907093\pi\) | |||||||
\(32\) | −0.939693 | + | 0.342020i | −0.166116 | + | 0.0604612i | ||||
\(33\) | 2.90375 | + | 0.00461883i | 0.505478 | + | 0.000804035i | ||||
\(34\) | 0.890891 | + | 5.05249i | 0.152787 | + | 0.866496i | ||||
\(35\) | 0.726937 | + | 1.25909i | 0.122875 | + | 0.212825i | ||||
\(36\) | −1.49173 | − | 2.60283i | −0.248621 | − | 0.433806i | ||||
\(37\) | −0.900740 | + | 1.56013i | −0.148081 | + | 0.256483i | −0.930518 | − | 0.366246i | \(-0.880643\pi\) |
0.782437 | + | 0.622729i | \(0.213976\pi\) | |||||||
\(38\) | −5.17792 | − | 1.88461i | −0.839970 | − | 0.305724i | ||||
\(39\) | 10.5106 | + | 3.84448i | 1.68304 | + | 0.615609i | ||||
\(40\) | 1.11373 | + | 0.934533i | 0.176097 | + | 0.147763i | ||||
\(41\) | 6.89729 | + | 5.78752i | 1.07718 | + | 0.903858i | 0.995683 | − | 0.0928155i | \(-0.0295867\pi\) |
0.0814931 | + | 0.996674i | \(0.474031\pi\) | |||||||
\(42\) | 1.62665 | + | 0.594984i | 0.250998 | + | 0.0918081i | ||||
\(43\) | 4.80515 | + | 1.74893i | 0.732779 | + | 0.266710i | 0.681341 | − | 0.731966i | \(-0.261397\pi\) |
0.0514383 | + | 0.998676i | \(0.483619\pi\) | |||||||
\(44\) | −0.838241 | + | 1.45188i | −0.126370 | + | 0.218879i | ||||
\(45\) | −2.19282 | + | 3.77032i | −0.326886 | + | 0.562046i | ||||
\(46\) | −2.74994 | − | 4.76304i | −0.405457 | − | 0.702272i | ||||
\(47\) | 0.00405207 | + | 0.0229804i | 0.000591055 | + | 0.00335204i | 0.985102 | − | 0.171972i | \(-0.0550138\pi\) |
−0.984511 | + | 0.175324i | \(0.943903\pi\) | |||||||
\(48\) | 1.73205 | + | 0.00275507i | 0.250000 | + | 0.000397661i | ||||
\(49\) | −0.939693 | + | 0.342020i | −0.134242 | + | 0.0488600i | ||||
\(50\) | −0.501192 | + | 2.84240i | −0.0708792 | + | 0.401976i | ||||
\(51\) | 1.55699 | − | 8.74871i | 0.218022 | − | 1.22506i | ||||
\(52\) | −4.94978 | + | 4.15336i | −0.686411 | + | 0.575967i | ||||
\(53\) | 3.85678 | 0.529769 | 0.264884 | − | 0.964280i | \(-0.414666\pi\) | ||||
0.264884 | + | 0.964280i | \(0.414666\pi\) | |||||||
\(54\) | 0.877873 | + | 5.12146i | 0.119463 | + | 0.696942i | ||||
\(55\) | 2.43740 | 0.328658 | ||||||||
\(56\) | −0.766044 | + | 0.642788i | −0.102367 | + | 0.0858961i | ||||
\(57\) | 7.30136 | + | 6.14639i | 0.967089 | + | 0.814109i | ||||
\(58\) | 0.114531 | − | 0.649539i | 0.0150387 | − | 0.0852887i | ||||
\(59\) | 5.58063 | − | 2.03118i | 0.726536 | − | 0.264437i | 0.0478381 | − | 0.998855i | \(-0.484767\pi\) |
0.678698 | + | 0.734418i | \(0.262545\pi\) | |||||||
\(60\) | −1.25562 | − | 2.18281i | −0.162100 | − | 0.281800i | ||||
\(61\) | −1.16595 | − | 6.61244i | −0.149285 | − | 0.846636i | −0.963826 | − | 0.266531i | \(-0.914123\pi\) |
0.814542 | − | 0.580105i | \(-0.196989\pi\) | |||||||
\(62\) | −2.46933 | − | 4.27700i | −0.313605 | − | 0.543180i | ||||
\(63\) | −2.29199 | − | 1.93566i | −0.288763 | − | 0.243871i | ||||
\(64\) | −0.500000 | + | 0.866025i | −0.0625000 | + | 0.108253i | ||||
\(65\) | 8.82764 | + | 3.21300i | 1.09493 | + | 0.398524i | ||||
\(66\) | 2.22737 | − | 1.86296i | 0.274170 | − | 0.229314i | ||||
\(67\) | −11.9974 | − | 10.0670i | −1.46572 | − | 1.22988i | −0.920001 | − | 0.391916i | \(-0.871813\pi\) |
−0.545718 | − | 0.837969i | \(-0.683743\pi\) | |||||||
\(68\) | 3.93014 | + | 3.29778i | 0.476600 | + | 0.399915i | ||||
\(69\) | 1.63926 | + | 9.38398i | 0.197344 | + | 1.12970i | ||||
\(70\) | 1.36620 | + | 0.497255i | 0.163292 | + | 0.0594333i | ||||
\(71\) | −3.86841 | + | 6.70028i | −0.459096 | + | 0.795177i | −0.998913 | − | 0.0466046i | \(-0.985160\pi\) |
0.539817 | + | 0.841782i | \(0.318493\pi\) | |||||||
\(72\) | −2.81580 | − | 1.03502i | −0.331845 | − | 0.121979i | ||||
\(73\) | 5.56535 | + | 9.63947i | 0.651375 | + | 1.12821i | 0.982789 | + | 0.184729i | \(0.0591408\pi\) |
−0.331414 | + | 0.943485i | \(0.607526\pi\) | |||||||
\(74\) | 0.312824 | + | 1.77411i | 0.0363650 | + | 0.206236i | ||||
\(75\) | 2.50645 | − | 4.32539i | 0.289420 | − | 0.499453i | ||||
\(76\) | −5.17792 | + | 1.88461i | −0.593949 | + | 0.216180i | ||||
\(77\) | −0.291118 | + | 1.65101i | −0.0331760 | + | 0.188150i | ||||
\(78\) | 10.5227 | − | 3.81102i | 1.19147 | − | 0.431513i | ||||
\(79\) | 6.30537 | − | 5.29083i | 0.709410 | − | 0.595265i | −0.215024 | − | 0.976609i | \(-0.568983\pi\) |
0.924433 | + | 0.381343i | \(0.124538\pi\) | |||||||
\(80\) | 1.45387 | 0.162548 | ||||||||
\(81\) | 1.61919 | − | 8.85315i | 0.179911 | − | 0.983683i | ||||
\(82\) | 9.00378 | 0.994301 | ||||||||
\(83\) | −7.97790 | + | 6.69425i | −0.875689 | + | 0.734790i | −0.965288 | − | 0.261188i | \(-0.915886\pi\) |
0.0895994 | + | 0.995978i | \(0.471441\pi\) | |||||||
\(84\) | 1.62854 | − | 0.589807i | 0.177688 | − | 0.0643532i | ||||
\(85\) | 1.29524 | − | 7.34569i | 0.140489 | − | 0.796752i | ||||
\(86\) | 4.80515 | − | 1.74893i | 0.518153 | − | 0.188592i | ||||
\(87\) | −0.572768 | + | 0.988429i | −0.0614072 | + | 0.105971i | ||||
\(88\) | 0.291118 | + | 1.65101i | 0.0310333 | + | 0.175999i | ||||
\(89\) | −4.13904 | − | 7.16904i | −0.438738 | − | 0.759916i | 0.558855 | − | 0.829266i | \(-0.311241\pi\) |
−0.997592 | + | 0.0693494i | \(0.977908\pi\) | |||||||
\(90\) | 0.743720 | + | 4.29775i | 0.0783949 | + | 0.453023i | ||||
\(91\) | −3.23074 | + | 5.59581i | −0.338674 | + | 0.586600i | ||||
\(92\) | −5.16820 | − | 1.88107i | −0.538822 | − | 0.196115i | ||||
\(93\) | 1.47198 | + | 8.42640i | 0.152638 | + | 0.873777i | ||||
\(94\) | 0.0178756 | + | 0.0149994i | 0.00184373 | + | 0.00154707i | ||||
\(95\) | 6.13693 | + | 5.14949i | 0.629635 | + | 0.528327i | ||||
\(96\) | 1.32860 | − | 1.11123i | 0.135599 | − | 0.113414i | ||||
\(97\) | −3.02190 | − | 1.09988i | −0.306828 | − | 0.111676i | 0.184017 | − | 0.982923i | \(-0.441090\pi\) |
−0.490845 | + | 0.871247i | \(0.663312\pi\) | |||||||
\(98\) | −0.500000 | + | 0.866025i | −0.0505076 | + | 0.0874818i | ||||
\(99\) | −4.73158 | + | 1.70513i | −0.475542 | + | 0.171372i | ||||
\(100\) | 1.44312 | + | 2.49956i | 0.144312 | + | 0.249956i | ||||
\(101\) | 2.36362 | + | 13.4047i | 0.235189 | + | 1.33382i | 0.842216 | + | 0.539140i | \(0.181251\pi\) |
−0.607027 | + | 0.794681i | \(0.707638\pi\) | |||||||
\(102\) | −4.43084 | − | 7.70271i | −0.438719 | − | 0.762682i | ||||
\(103\) | 15.4191 | − | 5.61208i | 1.51928 | − | 0.552974i | 0.558315 | − | 0.829629i | \(-0.311448\pi\) |
0.960969 | + | 0.276655i | \(0.0892259\pi\) | |||||||
\(104\) | −1.12202 | + | 6.36332i | −0.110024 | + | 0.623974i | ||||
\(105\) | −1.92646 | − | 1.62172i | −0.188004 | − | 0.158264i | ||||
\(106\) | 2.95446 | − | 2.47909i | 0.286963 | − | 0.240790i | ||||
\(107\) | −10.9247 | −1.05613 | −0.528065 | − | 0.849204i | \(-0.677082\pi\) | ||||
−0.528065 | + | 0.849204i | \(0.677082\pi\) | |||||||
\(108\) | 3.96450 | + | 3.35898i | 0.381484 | + | 0.323218i | ||||
\(109\) | 8.26363 | 0.791512 | 0.395756 | − | 0.918356i | \(-0.370483\pi\) | ||||
0.395756 | + | 0.918356i | \(0.370483\pi\) | |||||||
\(110\) | 1.86715 | − | 1.56673i | 0.178026 | − | 0.149382i | ||||
\(111\) | 0.546714 | − | 3.07199i | 0.0518918 | − | 0.291580i | ||||
\(112\) | −0.173648 | + | 0.984808i | −0.0164082 | + | 0.0930556i | ||||
\(113\) | −13.0082 | + | 4.73459i | −1.22371 | + | 0.445393i | −0.871438 | − | 0.490505i | \(-0.836812\pi\) |
−0.352270 | + | 0.935899i | \(0.614590\pi\) | |||||||
\(114\) | 9.54399 | + | 0.0151811i | 0.893876 | + | 0.00142184i | ||||
\(115\) | 1.38852 | + | 7.87467i | 0.129480 | + | 0.734317i | ||||
\(116\) | −0.329780 | − | 0.571195i | −0.0306193 | − | 0.0530341i | ||||
\(117\) | −19.3843 | − | 0.0616673i | −1.79208 | − | 0.00570115i | ||||
\(118\) | 2.96939 | − | 5.14313i | 0.273355 | − | 0.473464i | ||||
\(119\) | 4.82103 | + | 1.75471i | 0.441943 | + | 0.160854i | ||||
\(120\) | −2.36495 | − | 0.865033i | −0.215889 | − | 0.0789663i | ||||
\(121\) | −6.27345 | − | 5.26405i | −0.570314 | − | 0.478550i | ||||
\(122\) | −5.14356 | − | 4.31596i | −0.465676 | − | 0.390749i | ||||
\(123\) | −14.6460 | − | 5.35711i | −1.32059 | − | 0.483034i | ||||
\(124\) | −4.64082 | − | 1.68912i | −0.416758 | − | 0.151687i | ||||
\(125\) | 5.73281 | − | 9.92952i | 0.512758 | − | 0.888123i | ||||
\(126\) | −2.99998 | − | 0.00954384i | −0.267260 | − | 0.000850233i | ||||
\(127\) | −1.53947 | − | 2.66645i | −0.136606 | − | 0.236609i | 0.789604 | − | 0.613617i | \(-0.210286\pi\) |
−0.926210 | + | 0.377008i | \(0.876953\pi\) | |||||||
\(128\) | 0.173648 | + | 0.984808i | 0.0153485 | + | 0.0870455i | ||||
\(129\) | −8.85689 | − | 0.0140882i | −0.779806 | − | 0.00124039i | ||||
\(130\) | 8.82764 | − | 3.21300i | 0.774236 | − | 0.281799i | ||||
\(131\) | 3.18514 | − | 18.0638i | 0.278287 | − | 1.57824i | −0.450037 | − | 0.893010i | \(-0.648589\pi\) |
0.728324 | − | 0.685233i | \(-0.240300\pi\) | |||||||
\(132\) | 0.508779 | − | 2.85883i | 0.0442836 | − | 0.248829i | ||||
\(133\) | −4.22108 | + | 3.54191i | −0.366014 | + | 0.307122i | ||||
\(134\) | −15.6615 | −1.35295 | ||||||||
\(135\) | 1.34732 | − | 7.43344i | 0.115959 | − | 0.639769i | ||||
\(136\) | 5.13044 | 0.439931 | ||||||||
\(137\) | 10.3469 | − | 8.68210i | 0.883997 | − | 0.741762i | −0.0829996 | − | 0.996550i | \(-0.526450\pi\) |
0.966997 | + | 0.254788i | \(0.0820056\pi\) | |||||||
\(138\) | 7.28765 | + | 6.13485i | 0.620366 | + | 0.522233i | ||||
\(139\) | 3.74575 | − | 21.2432i | 0.317710 | − | 1.80182i | −0.238894 | − | 0.971046i | \(-0.576785\pi\) |
0.556604 | − | 0.830778i | \(-0.312104\pi\) | |||||||
\(140\) | 1.36620 | − | 0.497255i | 0.115465 | − | 0.0420257i | ||||
\(141\) | −0.0201529 | − | 0.0350345i | −0.00169718 | − | 0.00295044i | ||||
\(142\) | 1.34349 | + | 7.61928i | 0.112743 | + | 0.639396i | ||||
\(143\) | 5.41628 | + | 9.38127i | 0.452932 | + | 0.784501i | ||||
\(144\) | −2.82233 | + | 1.01709i | −0.235194 | + | 0.0847572i | ||||
\(145\) | −0.479458 | + | 0.830446i | −0.0398169 | + | 0.0689648i | ||||
\(146\) | 10.4594 | + | 3.80692i | 0.865629 | + | 0.315063i | ||||
\(147\) | 1.32860 | − | 1.11123i | 0.109581 | − | 0.0916526i | ||||
\(148\) | 1.38001 | + | 1.15797i | 0.113436 | + | 0.0951845i | ||||
\(149\) | 4.50522 | + | 3.78033i | 0.369082 | + | 0.309697i | 0.808398 | − | 0.588636i | \(-0.200335\pi\) |
−0.439316 | + | 0.898333i | \(0.644779\pi\) | |||||||
\(150\) | −0.860257 | − | 4.92455i | −0.0702397 | − | 0.402088i | ||||
\(151\) | −6.98099 | − | 2.54087i | −0.568105 | − | 0.206773i | 0.0419676 | − | 0.999119i | \(-0.486637\pi\) |
−0.610072 | + | 0.792346i | \(0.708860\pi\) | |||||||
\(152\) | −2.75512 | + | 4.77200i | −0.223469 | + | 0.387060i | ||||
\(153\) | 2.62444 | + | 15.1659i | 0.212173 | + | 1.22609i | ||||
\(154\) | 0.838241 | + | 1.45188i | 0.0675474 | + | 0.116996i | ||||
\(155\) | 1.24683 | + | 7.07110i | 0.100147 | + | 0.567965i | ||||
\(156\) | 5.61122 | − | 9.68331i | 0.449257 | − | 0.775285i | ||||
\(157\) | −18.0242 | + | 6.56026i | −1.43849 | + | 0.523566i | −0.939351 | − | 0.342958i | \(-0.888571\pi\) |
−0.499135 | + | 0.866524i | \(0.666349\pi\) | |||||||
\(158\) | 1.42931 | − | 8.10603i | 0.113710 | − | 0.644881i | ||||
\(159\) | −6.28090 | + | 2.27475i | −0.498107 | + | 0.180400i | ||||
\(160\) | 1.11373 | − | 0.934533i | 0.0880483 | − | 0.0738813i | ||||
\(161\) | −5.49989 | −0.433452 | ||||||||
\(162\) | −4.45032 | − | 7.82270i | −0.349650 | − | 0.614610i | ||||
\(163\) | 13.1780 | 1.03218 | 0.516090 | − | 0.856534i | \(-0.327387\pi\) | ||||
0.516090 | + | 0.856534i | \(0.327387\pi\) | |||||||
\(164\) | 6.89729 | − | 5.78752i | 0.538588 | − | 0.451929i | ||||
\(165\) | −3.96938 | + | 1.43759i | −0.309016 | + | 0.111916i | ||||
\(166\) | −1.80844 | + | 10.2562i | −0.140362 | + | 0.796035i | ||||
\(167\) | 2.12608 | − | 0.773831i | 0.164521 | − | 0.0598809i | −0.258446 | − | 0.966026i | \(-0.583211\pi\) |
0.422968 | + | 0.906145i | \(0.360988\pi\) | |||||||
\(168\) | 0.868410 | − | 1.49862i | 0.0669993 | − | 0.115621i | ||||
\(169\) | 4.99251 | + | 28.3139i | 0.384039 | + | 2.17799i | ||||
\(170\) | −3.72951 | − | 6.45970i | −0.286040 | − | 0.495436i | ||||
\(171\) | −15.5157 | − | 5.70322i | −1.18652 | − | 0.436136i | ||||
\(172\) | 2.55677 | − | 4.42845i | 0.194952 | − | 0.337666i | ||||
\(173\) | −12.5475 | − | 4.56693i | −0.953972 | − | 0.347217i | −0.182303 | − | 0.983242i | \(-0.558355\pi\) |
−0.771669 | + | 0.636025i | \(0.780578\pi\) | |||||||
\(174\) | 0.196584 | + | 1.12535i | 0.0149030 | + | 0.0853125i | ||||
\(175\) | 2.21099 | + | 1.85524i | 0.167135 | + | 0.140243i | ||||
\(176\) | 1.28426 | + | 1.07762i | 0.0968047 | + | 0.0812288i | ||||
\(177\) | −7.89025 | + | 6.59934i | −0.593067 | + | 0.496037i | ||||
\(178\) | −7.77886 | − | 2.83127i | −0.583050 | − | 0.212213i | ||||
\(179\) | −2.73251 | + | 4.73285i | −0.204238 | + | 0.353750i | −0.949890 | − | 0.312586i | \(-0.898805\pi\) |
0.745652 | + | 0.666336i | \(0.232138\pi\) | |||||||
\(180\) | 3.33226 | + | 2.81421i | 0.248372 | + | 0.209759i | ||||
\(181\) | −2.71456 | − | 4.70175i | −0.201771 | − | 0.349478i | 0.747328 | − | 0.664456i | \(-0.231336\pi\) |
−0.949099 | + | 0.314977i | \(0.898003\pi\) | |||||||
\(182\) | 1.12202 | + | 6.36332i | 0.0831700 | + | 0.471680i | ||||
\(183\) | 5.79885 | + | 10.0809i | 0.428664 | + | 0.745202i | ||||
\(184\) | −5.16820 | + | 1.88107i | −0.381005 | + | 0.138674i | ||||
\(185\) | 0.454807 | − | 2.57934i | 0.0334381 | − | 0.189637i | ||||
\(186\) | 6.54399 | + | 5.50882i | 0.479829 | + | 0.403926i | ||||
\(187\) | 6.58881 | − | 5.52867i | 0.481822 | − | 0.404296i | ||||
\(188\) | 0.0233349 | 0.00170188 | ||||||||
\(189\) | 4.87425 | + | 1.80047i | 0.354550 | + | 0.130965i | ||||
\(190\) | 8.01119 | 0.581193 | ||||||||
\(191\) | −16.9859 | + | 14.2529i | −1.22906 | + | 1.03130i | −0.230761 | + | 0.973011i | \(0.574121\pi\) |
−0.998300 | + | 0.0582932i | \(0.981434\pi\) | |||||||
\(192\) | 0.303480 | − | 1.70526i | 0.0219018 | − | 0.123066i | ||||
\(193\) | −1.37235 | + | 7.78298i | −0.0987839 | + | 0.560231i | 0.894738 | + | 0.446591i | \(0.147362\pi\) |
−0.993522 | + | 0.113640i | \(0.963749\pi\) | |||||||
\(194\) | −3.02190 | + | 1.09988i | −0.216960 | + | 0.0789670i | ||||
\(195\) | −16.2712 | − | 0.0258817i | −1.16520 | − | 0.00185342i | ||||
\(196\) | 0.173648 | + | 0.984808i | 0.0124034 | + | 0.0703434i | ||||
\(197\) | −2.30248 | − | 3.98801i | −0.164045 | − | 0.284134i | 0.772271 | − | 0.635293i | \(-0.219121\pi\) |
−0.936316 | + | 0.351159i | \(0.885788\pi\) | |||||||
\(198\) | −2.52857 | + | 4.34761i | −0.179697 | + | 0.308971i | ||||
\(199\) | −1.55657 | + | 2.69605i | −0.110342 | + | 0.191118i | −0.915908 | − | 0.401388i | \(-0.868528\pi\) |
0.805566 | + | 0.592506i | \(0.201861\pi\) | |||||||
\(200\) | 2.71219 | + | 0.987155i | 0.191780 | + | 0.0698024i | ||||
\(201\) | 25.4758 | + | 9.31837i | 1.79693 | + | 0.657267i | ||||
\(202\) | 10.4270 | + | 8.74932i | 0.733643 | + | 0.615600i | ||||
\(203\) | −0.505252 | − | 0.423957i | −0.0354617 | − | 0.0297559i | ||||
\(204\) | −8.34543 | − | 3.05253i | −0.584297 | − | 0.213720i | ||||
\(205\) | −12.3009 | − | 4.47717i | −0.859134 | − | 0.312699i | ||||
\(206\) | 8.20431 | − | 14.2103i | 0.571621 | − | 0.990077i | ||||
\(207\) | −8.20433 | − | 14.3153i | −0.570240 | − | 0.994982i | ||||
\(208\) | 3.23074 | + | 5.59581i | 0.224012 | + | 0.387999i | ||||
\(209\) | 1.60413 | + | 9.09746i | 0.110960 | + | 0.629285i | ||||
\(210\) | −2.51818 | − | 0.00400553i | −0.173771 | − | 0.000276408i | ||||
\(211\) | −0.764716 | + | 0.278334i | −0.0526452 | + | 0.0191613i | −0.368209 | − | 0.929743i | \(-0.620029\pi\) |
0.315563 | + | 0.948905i | \(0.397807\pi\) | |||||||
\(212\) | 0.669722 | − | 3.79818i | 0.0459967 | − | 0.260860i | ||||
\(213\) | 2.34797 | − | 13.1933i | 0.160880 | − | 0.903988i | ||||
\(214\) | −8.36880 | + | 7.02225i | −0.572079 | + | 0.480031i | ||||
\(215\) | −7.43444 | −0.507025 | ||||||||
\(216\) | 5.19609 | + | 0.0247956i | 0.353549 | + | 0.00168713i | ||||
\(217\) | −4.93865 | −0.335258 | ||||||||
\(218\) | 6.33031 | − | 5.31176i | 0.428742 | − | 0.359758i | ||||
\(219\) | −14.7488 | − | 12.4157i | −0.996631 | − | 0.838978i | ||||
\(220\) | 0.423249 | − | 2.40037i | 0.0285355 | − | 0.161833i | ||||
\(221\) | 31.1510 | − | 11.3380i | 2.09544 | − | 0.762679i | ||||
\(222\) | −1.55583 | − | 2.70470i | −0.104420 | − | 0.181527i | ||||
\(223\) | −1.04376 | − | 5.91944i | −0.0698952 | − | 0.396395i | −0.999605 | − | 0.0281025i | \(-0.991054\pi\) |
0.929710 | − | 0.368293i | \(-0.120058\pi\) | |||||||
\(224\) | 0.500000 | + | 0.866025i | 0.0334077 | + | 0.0578638i | ||||
\(225\) | −1.53069 | + | 8.52237i | −0.102046 | + | 0.568158i | ||||
\(226\) | −6.92151 | + | 11.9884i | −0.460412 | + | 0.797457i | ||||
\(227\) | 2.18280 | + | 0.794476i | 0.144878 | + | 0.0527312i | 0.413441 | − | 0.910531i | \(-0.364327\pi\) |
−0.268563 | + | 0.963262i | \(0.586549\pi\) | |||||||
\(228\) | 7.32088 | − | 6.12313i | 0.484837 | − | 0.405514i | ||||
\(229\) | −2.80154 | − | 2.35077i | −0.185131 | − | 0.155343i | 0.545512 | − | 0.838103i | \(-0.316335\pi\) |
−0.730643 | + | 0.682760i | \(0.760780\pi\) | |||||||
\(230\) | 6.12540 | + | 5.13982i | 0.403897 | + | 0.338910i | ||||
\(231\) | −0.499682 | − | 2.86044i | −0.0328767 | − | 0.188203i | ||||
\(232\) | −0.619783 | − | 0.225583i | −0.0406908 | − | 0.0148102i | ||||
\(233\) | 7.39183 | − | 12.8030i | 0.484255 | − | 0.838754i | −0.515582 | − | 0.856840i | \(-0.672424\pi\) |
0.999836 | + | 0.0180867i | \(0.00575748\pi\) | |||||||
\(234\) | −14.8889 | + | 12.4128i | −0.973318 | + | 0.811448i | ||||
\(235\) | −0.0169630 | − | 0.0293808i | −0.00110655 | − | 0.00191660i | ||||
\(236\) | −1.03126 | − | 5.84856i | −0.0671292 | − | 0.380709i | ||||
\(237\) | −7.14795 | + | 12.3353i | −0.464309 | + | 0.801261i | ||||
\(238\) | 4.82103 | − | 1.75471i | 0.312501 | − | 0.113741i | ||||
\(239\) | 2.83460 | − | 16.0758i | 0.183355 | − | 1.03986i | −0.744695 | − | 0.667405i | \(-0.767405\pi\) |
0.928051 | − | 0.372454i | \(-0.121484\pi\) | |||||||
\(240\) | −2.36769 | + | 0.857505i | −0.152834 | + | 0.0553517i | ||||
\(241\) | 6.73786 | − | 5.65374i | 0.434024 | − | 0.364189i | −0.399444 | − | 0.916758i | \(-0.630797\pi\) |
0.833468 | + | 0.552568i | \(0.186352\pi\) | |||||||
\(242\) | −8.18941 | −0.526435 | ||||||||
\(243\) | 2.58473 | + | 15.3727i | 0.165810 | + | 0.986158i | ||||
\(244\) | −6.71445 | −0.429848 | ||||||||
\(245\) | 1.11373 | − | 0.934533i | 0.0711538 | − | 0.0597051i | ||||
\(246\) | −14.6630 | + | 5.31049i | −0.934877 | + | 0.338584i | ||||
\(247\) | −6.18261 | + | 35.0633i | −0.393390 | + | 2.23103i | ||||
\(248\) | −4.64082 | + | 1.68912i | −0.294692 | + | 0.107259i | ||||
\(249\) | 9.04398 | − | 15.6073i | 0.573139 | − | 0.989069i | ||||
\(250\) | −1.99098 | − | 11.2914i | −0.125921 | − | 0.714133i | ||||
\(251\) | −10.9035 | − | 18.8853i | −0.688220 | − | 1.19203i | −0.972413 | − | 0.233265i | \(-0.925059\pi\) |
0.284193 | − | 0.958767i | \(-0.408274\pi\) | |||||||
\(252\) | −2.30426 | + | 1.92104i | −0.145155 | + | 0.121014i | ||||
\(253\) | −4.61023 | + | 7.98515i | −0.289843 | + | 0.502022i | ||||
\(254\) | −2.89326 | − | 1.05306i | −0.181539 | − | 0.0660750i | ||||
\(255\) | 2.22319 | + | 12.7267i | 0.139221 | + | 0.796975i | ||||
\(256\) | 0.766044 | + | 0.642788i | 0.0478778 | + | 0.0401742i | ||||
\(257\) | −12.7669 | − | 10.7127i | −0.796378 | − | 0.668241i | 0.150937 | − | 0.988543i | \(-0.451771\pi\) |
−0.947315 | + | 0.320303i | \(0.896215\pi\) | |||||||
\(258\) | −6.79383 | + | 5.68231i | −0.422965 | + | 0.353765i | ||||
\(259\) | 1.69284 | + | 0.616143i | 0.105188 | + | 0.0382852i | ||||
\(260\) | 4.69709 | − | 8.13560i | 0.291301 | − | 0.504549i | ||||
\(261\) | 0.349791 | − | 1.94751i | 0.0216515 | − | 0.120548i | ||||
\(262\) | −9.17124 | − | 15.8851i | −0.566601 | − | 0.981382i | ||||
\(263\) | −3.22084 | − | 18.2663i | −0.198605 | − | 1.12635i | −0.907190 | − | 0.420721i | \(-0.861777\pi\) |
0.708585 | − | 0.705626i | \(-0.249334\pi\) | |||||||
\(264\) | −1.44787 | − | 2.51703i | −0.0891105 | − | 0.154912i | ||||
\(265\) | −5.26911 | + | 1.91780i | −0.323679 | + | 0.117809i | ||||
\(266\) | −0.956842 | + | 5.42652i | −0.0586677 | + | 0.332721i | ||||
\(267\) | 10.9689 | + | 9.23379i | 0.671287 | + | 0.565099i | ||||
\(268\) | −11.9974 | + | 10.0670i | −0.732860 | + | 0.614942i | ||||
\(269\) | 20.9639 | 1.27819 | 0.639096 | − | 0.769127i | \(-0.279309\pi\) | ||||
0.639096 | + | 0.769127i | \(0.279309\pi\) | |||||||
\(270\) | −3.74601 | − | 6.56039i | −0.227975 | − | 0.399252i | ||||
\(271\) | 19.2207 | 1.16757 | 0.583786 | − | 0.811908i | \(-0.301571\pi\) | ||||
0.583786 | + | 0.811908i | \(0.301571\pi\) | |||||||
\(272\) | 3.93014 | − | 3.29778i | 0.238300 | − | 0.199957i | ||||
\(273\) | 1.96093 | − | 11.0185i | 0.118681 | − | 0.666869i | ||||
\(274\) | 2.34546 | − | 13.3018i | 0.141694 | − | 0.803588i | ||||
\(275\) | 4.54693 | − | 1.65495i | 0.274190 | − | 0.0997971i | ||||
\(276\) | 9.52607 | + | 0.0151526i | 0.573402 | + | 0.000912079i | ||||
\(277\) | −1.42383 | − | 8.07496i | −0.0855498 | − | 0.485177i | −0.997237 | − | 0.0742912i | \(-0.976331\pi\) |
0.911687 | − | 0.410886i | \(-0.134781\pi\) | |||||||
\(278\) | −10.7855 | − | 18.6809i | −0.646868 | − | 1.12041i | ||||
\(279\) | −7.36712 | − | 12.8545i | −0.441058 | − | 0.769579i | ||||
\(280\) | 0.726937 | − | 1.25909i | 0.0434428 | − | 0.0752452i | ||||
\(281\) | −5.61750 | − | 2.04460i | −0.335112 | − | 0.121971i | 0.168983 | − | 0.985619i | \(-0.445952\pi\) |
−0.504095 | + | 0.863648i | \(0.668174\pi\) | |||||||
\(282\) | −0.0379578 | − | 0.0138839i | −0.00226035 | − | 0.000826776i | ||||
\(283\) | 4.98710 | + | 4.18467i | 0.296452 | + | 0.248753i | 0.778866 | − | 0.627191i | \(-0.215795\pi\) |
−0.482414 | + | 0.875944i | \(0.660240\pi\) | |||||||
\(284\) | 5.92675 | + | 4.97313i | 0.351688 | + | 0.295101i | ||||
\(285\) | −13.0314 | − | 4.76653i | −0.771914 | − | 0.282345i | ||||
\(286\) | 10.1793 | + | 3.70495i | 0.601913 | + | 0.219078i | ||||
\(287\) | 4.50189 | − | 7.79750i | 0.265738 | − | 0.460272i | ||||
\(288\) | −1.50826 | + | 2.59329i | −0.0888749 | + | 0.152811i | ||||
\(289\) | −4.66069 | − | 8.07256i | −0.274158 | − | 0.474856i | ||||
\(290\) | 0.166514 | + | 0.944349i | 0.00977805 | + | 0.0554541i | ||||
\(291\) | 5.57000 | + | 0.00885988i | 0.326519 | + | 0.000519375i | ||||
\(292\) | 10.4594 | − | 3.80692i | 0.612092 | − | 0.222783i | ||||
\(293\) | 5.83182 | − | 33.0739i | 0.340698 | − | 1.93220i | −0.0207028 | − | 0.999786i | \(-0.506590\pi\) |
0.361401 | − | 0.932410i | \(-0.382299\pi\) | |||||||
\(294\) | 0.303480 | − | 1.70526i | 0.0176993 | − | 0.0994526i | ||||
\(295\) | −6.61421 | + | 5.54999i | −0.385094 | + | 0.323133i | ||||
\(296\) | 1.80148 | 0.104709 | ||||||||
\(297\) | 6.69985 | − | 5.56758i | 0.388765 | − | 0.323064i | ||||
\(298\) | 5.88115 | 0.340686 | ||||||||
\(299\) | −27.2232 | + | 22.8430i | −1.57436 | + | 1.32105i | ||||
\(300\) | −3.82444 | − | 3.21946i | −0.220804 | − | 0.185876i | ||||
\(301\) | 0.887956 | − | 5.03585i | 0.0511810 | − | 0.290262i | ||||
\(302\) | −6.98099 | + | 2.54087i | −0.401711 | + | 0.146211i | ||||
\(303\) | −11.7554 | − | 20.4360i | −0.675332 | − | 1.17402i | ||||
\(304\) | 0.956842 | + | 5.42652i | 0.0548786 | + | 0.311232i | ||||
\(305\) | 4.88098 | + | 8.45411i | 0.279484 | + | 0.484081i | ||||
\(306\) | 11.7589 | + | 9.93080i | 0.672211 | + | 0.567706i | ||||
\(307\) | −16.2066 | + | 28.0707i | −0.924961 | + | 1.60208i | −0.133338 | + | 0.991071i | \(0.542569\pi\) |
−0.791624 | + | 0.611009i | \(0.790764\pi\) | |||||||
\(308\) | 1.57538 | + | 0.573391i | 0.0897655 | + | 0.0326720i | ||||
\(309\) | −21.8004 | + | 18.2337i | −1.24018 | + | 1.03728i | ||||
\(310\) | 5.50034 | + | 4.61533i | 0.312398 | + | 0.262133i | ||||
\(311\) | 4.01331 | + | 3.36757i | 0.227574 | + | 0.190957i | 0.749444 | − | 0.662068i | \(-0.230321\pi\) |
−0.521870 | + | 0.853025i | \(0.674765\pi\) | |||||||
\(312\) | −1.92587 | − | 11.0247i | −0.109031 | − | 0.624149i | ||||
\(313\) | 20.4683 | + | 7.44987i | 1.15694 | + | 0.421091i | 0.848003 | − | 0.529991i | \(-0.177805\pi\) |
0.308936 | + | 0.951083i | \(0.400027\pi\) | |||||||
\(314\) | −9.59047 | + | 16.6112i | −0.541221 | + | 0.937423i | ||||
\(315\) | 4.09382 | + | 1.50479i | 0.230661 | + | 0.0847856i | ||||
\(316\) | −4.11554 | − | 7.12832i | −0.231517 | − | 0.400999i | ||||
\(317\) | 1.79113 | + | 10.1580i | 0.100600 | + | 0.570529i | 0.992887 | + | 0.119061i | \(0.0379885\pi\) |
−0.892287 | + | 0.451468i | \(0.850900\pi\) | |||||||
\(318\) | −3.34926 | + | 5.77984i | −0.187817 | + | 0.324118i | ||||
\(319\) | −1.03906 | + | 0.378185i | −0.0581759 | + | 0.0211743i | ||||
\(320\) | 0.252463 | − | 1.43179i | 0.0141131 | − | 0.0800393i | ||||
\(321\) | 17.7912 | − | 6.44345i | 0.993010 | − | 0.359638i | ||||
\(322\) | −4.21316 | + | 3.53526i | −0.234790 | + | 0.197012i | ||||
\(323\) | 28.2699 | 1.57298 | ||||||||
\(324\) | −8.43748 | − | 3.13193i | −0.468749 | − | 0.173996i | ||||
\(325\) | 18.6494 | 1.03448 | ||||||||
\(326\) | 10.0949 | − | 8.47065i | 0.559106 | − | 0.469146i | ||||
\(327\) | −13.4576 | + | 4.87394i | −0.744208 | + | 0.269530i | ||||
\(328\) | 1.56349 | − | 8.86699i | 0.0863293 | − | 0.489598i | ||||
\(329\) | 0.0219277 | − | 0.00798102i | 0.00120891 | − | 0.000440008i | ||||
\(330\) | −2.11666 | + | 3.65273i | −0.116518 | + | 0.201076i | ||||
\(331\) | 3.35525 | + | 19.0286i | 0.184421 | + | 1.04590i | 0.926697 | + | 0.375810i | \(0.122635\pi\) |
−0.742276 | + | 0.670095i | \(0.766253\pi\) | |||||||
\(332\) | 5.20721 | + | 9.01915i | 0.285783 | + | 0.494990i | ||||
\(333\) | 0.921535 | + | 5.32529i | 0.0504998 | + | 0.291824i | ||||
\(334\) | 1.13127 | − | 1.95941i | 0.0619001 | − | 0.107214i | ||||
\(335\) | 21.3967 | + | 7.78777i | 1.16903 | + | 0.425491i | ||||
\(336\) | −0.298054 | − | 1.70621i | −0.0162602 | − | 0.0930816i | ||||
\(337\) | −22.4963 | − | 18.8766i | −1.22545 | − | 1.02828i | −0.998521 | − | 0.0543651i | \(-0.982687\pi\) |
−0.226931 | − | 0.973911i | \(-0.572869\pi\) | |||||||
\(338\) | 22.0243 | + | 18.4806i | 1.19797 | + | 1.00521i | ||||
\(339\) | 18.3918 | − | 15.3828i | 0.998906 | − | 0.835478i | ||||
\(340\) | −7.00918 | − | 2.55113i | −0.380126 | − | 0.138355i | ||||
\(341\) | −4.13978 | + | 7.17031i | −0.224182 | + | 0.388294i | ||||
\(342\) | −15.5517 | + | 5.60438i | −0.840939 | + | 0.303050i | ||||
\(343\) | 0.500000 | + | 0.866025i | 0.0269975 | + | 0.0467610i | ||||
\(344\) | −0.887956 | − | 5.03585i | −0.0478754 | − | 0.271515i | ||||
\(345\) | −6.90578 | − | 12.0052i | −0.371795 | − | 0.646339i | ||||
\(346\) | −12.5475 | + | 4.56693i | −0.674560 | + | 0.245520i | ||||
\(347\) | −2.80052 | + | 15.8826i | −0.150340 | + | 0.852621i | 0.812583 | + | 0.582845i | \(0.198061\pi\) |
−0.962923 | + | 0.269776i | \(0.913050\pi\) | |||||||
\(348\) | 0.873953 | + | 0.735705i | 0.0468488 | + | 0.0394380i | ||||
\(349\) | 0.260632 | − | 0.218696i | 0.0139513 | − | 0.0117065i | −0.635785 | − | 0.771866i | \(-0.719324\pi\) |
0.649737 | + | 0.760159i | \(0.274879\pi\) | |||||||
\(350\) | 2.88625 | 0.154276 | ||||||||
\(351\) | 31.6045 | − | 11.3326i | 1.68692 | − | 0.604889i | ||||
\(352\) | 1.67648 | 0.0893568 | ||||||||
\(353\) | 3.52530 | − | 2.95808i | 0.187633 | − | 0.157443i | −0.544133 | − | 0.838999i | \(-0.683141\pi\) |
0.731765 | + | 0.681557i | \(0.238697\pi\) | |||||||
\(354\) | −1.80230 | + | 10.1271i | −0.0957913 | + | 0.538252i | ||||
\(355\) | 1.95326 | − | 11.0775i | 0.103668 | − | 0.587932i | ||||
\(356\) | −7.77886 | + | 2.83127i | −0.412279 | + | 0.150057i | ||||
\(357\) | −8.88617 | − | 0.0141347i | −0.470306 | − | 0.000748089i | ||||
\(358\) | 0.948992 | + | 5.38200i | 0.0501558 | + | 0.284448i | ||||
\(359\) | 10.3946 | + | 18.0040i | 0.548607 | + | 0.950214i | 0.998370 | + | 0.0570669i | \(0.0181748\pi\) |
−0.449764 | + | 0.893148i | \(0.648492\pi\) | |||||||
\(360\) | 4.36160 | + | 0.0138756i | 0.229877 | + | 0.000731306i | ||||
\(361\) | −5.68133 | + | 9.84035i | −0.299017 | + | 0.517913i | ||||
\(362\) | −5.10170 | − | 1.85687i | −0.268139 | − | 0.0975947i | ||||
\(363\) | 13.3213 | + | 4.87257i | 0.699187 | + | 0.255744i | ||||
\(364\) | 4.94978 | + | 4.15336i | 0.259439 | + | 0.217695i | ||||
\(365\) | −12.3966 | − | 10.4020i | −0.648869 | − | 0.544466i | ||||
\(366\) | 10.9221 | + | 3.99499i | 0.570905 | + | 0.208822i | ||||
\(367\) | 2.21844 | + | 0.807447i | 0.115802 | + | 0.0421484i | 0.399271 | − | 0.916833i | \(-0.369263\pi\) |
−0.283469 | + | 0.958981i | \(0.591485\pi\) | |||||||
\(368\) | −2.74994 | + | 4.76304i | −0.143351 | + | 0.248291i | ||||
\(369\) | 27.0112 | + | 0.0859306i | 1.40615 | + | 0.00447337i | ||||
\(370\) | −1.30956 | − | 2.26823i | −0.0680810 | − | 0.117920i | ||||
\(371\) | −0.669722 | − | 3.79818i | −0.0347702 | − | 0.197192i | ||||
\(372\) | 8.55399 | + | 0.0136064i | 0.443504 | + | 0.000705456i | ||||
\(373\) | 1.46920 | − | 0.534745i | 0.0760723 | − | 0.0276881i | −0.303704 | − | 0.952767i | \(-0.598223\pi\) |
0.379776 | + | 0.925078i | \(0.376001\pi\) | |||||||
\(374\) | 1.49356 | − | 8.47042i | 0.0772303 | − | 0.437995i | ||||
\(375\) | −3.47959 | + | 19.5518i | −0.179685 | + | 1.00965i | ||||
\(376\) | 0.0178756 | − | 0.0149994i | 0.000921864 | − | 0.000773535i | ||||
\(377\) | −4.26173 | −0.219490 | ||||||||
\(378\) | 4.89121 | − | 1.75387i | 0.251577 | − | 0.0902093i | ||||
\(379\) | 36.6941 | 1.88485 | 0.942425 | − | 0.334417i | \(-0.108539\pi\) | ||||
0.942425 | + | 0.334417i | \(0.108539\pi\) | |||||||
\(380\) | 6.13693 | − | 5.14949i | 0.314818 | − | 0.264163i | ||||
\(381\) | 4.07977 | + | 3.43441i | 0.209013 | + | 0.175950i | ||||
\(382\) | −3.85040 | + | 21.8367i | −0.197004 | + | 1.11726i | ||||
\(383\) | 9.12791 | − | 3.32229i | 0.466415 | − | 0.169761i | −0.0981129 | − | 0.995175i | \(-0.531281\pi\) |
0.564527 | + | 0.825414i | \(0.309058\pi\) | |||||||
\(384\) | −0.863638 | − | 1.50138i | −0.0440724 | − | 0.0766168i | ||||
\(385\) | −0.423249 | − | 2.40037i | −0.0215708 | − | 0.122334i | ||||
\(386\) | 3.95152 | + | 6.84424i | 0.201127 | + | 0.348363i | ||||
\(387\) | 14.4321 | − | 5.20091i | 0.733624 | − | 0.264377i | ||||
\(388\) | −1.60792 | + | 2.78500i | −0.0816298 | + | 0.141387i | ||||
\(389\) | 22.4745 | + | 8.18004i | 1.13950 | + | 0.414745i | 0.841733 | − | 0.539894i | \(-0.181536\pi\) |
0.297768 | + | 0.954638i | \(0.403758\pi\) | |||||||
\(390\) | −12.4811 | + | 10.4391i | −0.632004 | + | 0.528604i | ||||
\(391\) | 21.6153 | + | 18.1374i | 1.09313 | + | 0.917249i | ||||
\(392\) | 0.766044 | + | 0.642788i | 0.0386911 | + | 0.0324657i | ||||
\(393\) | 5.46705 | + | 31.2962i | 0.275776 | + | 1.57868i | ||||
\(394\) | −4.32725 | − | 1.57499i | −0.218004 | − | 0.0793468i | ||||
\(395\) | −5.98348 | + | 10.3637i | −0.301061 | + | 0.521454i | ||||
\(396\) | 0.857593 | + | 4.95579i | 0.0430957 | + | 0.249038i | ||||
\(397\) | 1.20348 | + | 2.08449i | 0.0604009 | + | 0.104617i | 0.894645 | − | 0.446778i | \(-0.147429\pi\) |
−0.834244 | + | 0.551396i | \(0.814095\pi\) | |||||||
\(398\) | 0.540590 | + | 3.06584i | 0.0270973 | + | 0.153677i | ||||
\(399\) | 4.78514 | − | 8.25775i | 0.239557 | − | 0.413404i | ||||
\(400\) | 2.71219 | − | 0.987155i | 0.135609 | − | 0.0493577i | ||||
\(401\) | 2.26515 | − | 12.8463i | 0.113116 | − | 0.641513i | −0.874550 | − | 0.484936i | \(-0.838843\pi\) |
0.987666 | − | 0.156577i | \(-0.0500459\pi\) | |||||||
\(402\) | 25.5054 | − | 9.23727i | 1.27209 | − | 0.460713i | ||||
\(403\) | −24.4453 | + | 20.5120i | −1.21770 | + | 1.02178i | ||||
\(404\) | 13.6115 | 0.677199 | ||||||||
\(405\) | 2.19013 | + | 12.9003i | 0.108828 | + | 0.641020i | ||||
\(406\) | −0.659559 | −0.0327334 | ||||||||
\(407\) | 2.31357 | − | 1.94131i | 0.114679 | − | 0.0962274i | ||||
\(408\) | −8.35510 | + | 3.02597i | −0.413639 | + | 0.149808i | ||||
\(409\) | 4.26098 | − | 24.1652i | 0.210692 | − | 1.19489i | −0.677536 | − | 0.735490i | \(-0.736952\pi\) |
0.888228 | − | 0.459404i | \(-0.151937\pi\) | |||||||
\(410\) | −12.3009 | + | 4.47717i | −0.607499 | + | 0.221112i | ||||
\(411\) | −11.7296 | + | 20.2418i | −0.578577 | + | 0.998454i | ||||
\(412\) | −2.84933 | − | 16.1593i | −0.140376 | − | 0.796113i | ||||
\(413\) | −2.96939 | − | 5.14313i | −0.146114 | − | 0.253077i | ||||
\(414\) | −15.4866 | − | 5.69251i | −0.761124 | − | 0.279772i | ||||
\(415\) | 7.57063 | − | 13.1127i | 0.371627 | − | 0.643678i | ||||
\(416\) | 6.07180 | + | 2.20996i | 0.297695 | + | 0.108352i | ||||
\(417\) | 6.42929 | + | 36.8046i | 0.314844 | + | 1.80233i | ||||
\(418\) | 7.07657 | + | 5.93795i | 0.346126 | + | 0.290434i | ||||
\(419\) | −19.1164 | − | 16.0406i | −0.933898 | − | 0.783634i | 0.0426147 | − | 0.999092i | \(-0.486431\pi\) |
−0.976513 | + | 0.215458i | \(0.930876\pi\) | |||||||
\(420\) | −1.93161 | + | 1.61559i | −0.0942531 | + | 0.0788326i | ||||
\(421\) | 29.6213 | + | 10.7813i | 1.44365 | + | 0.525446i | 0.940811 | − | 0.338933i | \(-0.110066\pi\) |
0.502841 | + | 0.864379i | \(0.332288\pi\) | |||||||
\(422\) | −0.406897 | + | 0.704766i | −0.0198074 | + | 0.0343075i | ||||
\(423\) | 0.0534834 | + | 0.0451686i | 0.00260045 | + | 0.00219617i | ||||
\(424\) | −1.92839 | − | 3.34007i | −0.0936508 | − | 0.162208i | ||||
\(425\) | −2.57133 | − | 14.5828i | −0.124728 | − | 0.707367i | ||||
\(426\) | −6.68182 | − | 11.6159i | −0.323735 | − | 0.562791i | ||||
\(427\) | −6.30952 | + | 2.29648i | −0.305339 | + | 0.111134i | ||||
\(428\) | −1.89705 | + | 10.7587i | −0.0916975 | + | 0.520042i | ||||
\(429\) | −14.3537 | − | 12.0832i | −0.693005 | − | 0.583381i | ||||
\(430\) | −5.69511 | + | 4.77877i | −0.274643 | + | 0.230453i | ||||
\(431\) | 3.71286 | 0.178842 | 0.0894211 | − | 0.995994i | \(-0.471498\pi\) | ||||
0.0894211 | + | 0.995994i | \(0.471498\pi\) | |||||||
\(432\) | 3.99638 | − | 3.32099i | 0.192276 | − | 0.159781i | ||||
\(433\) | −2.44258 | −0.117383 | −0.0586915 | − | 0.998276i | \(-0.518693\pi\) | ||||
−0.0586915 | + | 0.998276i | \(0.518693\pi\) | |||||||
\(434\) | −3.78323 | + | 3.17451i | −0.181601 | + | 0.152381i | ||||
\(435\) | 0.291012 | − | 1.63520i | 0.0139530 | − | 0.0784018i | ||||
\(436\) | 1.43496 | − | 8.13808i | 0.0687223 | − | 0.389744i | ||||
\(437\) | −28.4780 | + | 10.3651i | −1.36229 | + | 0.495832i | ||||
\(438\) | −19.2789 | − | 0.0306659i | −0.921182 | − | 0.00146527i | ||||
\(439\) | −4.18616 | − | 23.7409i | −0.199794 | − | 1.13309i | −0.905424 | − | 0.424509i | \(-0.860447\pi\) |
0.705629 | − | 0.708581i | \(-0.250664\pi\) | |||||||
\(440\) | −1.21870 | − | 2.11085i | −0.0580991 | − | 0.100631i | ||||
\(441\) | −1.50826 | + | 2.59329i | −0.0718218 | + | 0.123490i | ||||
\(442\) | 16.5751 | − | 28.7089i | 0.788397 | − | 1.36554i | ||||
\(443\) | −20.7020 | − | 7.53492i | −0.983582 | − | 0.357995i | −0.200350 | − | 0.979724i | \(-0.564208\pi\) |
−0.783232 | + | 0.621730i | \(0.786430\pi\) | |||||||
\(444\) | −2.93038 | − | 1.07185i | −0.139070 | − | 0.0508679i | ||||
\(445\) | 9.21958 | + | 7.73615i | 0.437050 | + | 0.366728i | ||||
\(446\) | −4.60451 | − | 3.86364i | −0.218030 | − | 0.182949i | ||||
\(447\) | −9.56658 | − | 3.49919i | −0.452484 | − | 0.165506i | ||||
\(448\) | 0.939693 | + | 0.342020i | 0.0443963 | + | 0.0161589i | ||||
\(449\) | 7.45306 | − | 12.9091i | 0.351732 | − | 0.609217i | −0.634821 | − | 0.772659i | \(-0.718926\pi\) |
0.986553 | + | 0.163442i | \(0.0522597\pi\) | |||||||
\(450\) | 4.30549 | + | 7.51243i | 0.202963 | + | 0.354139i | ||||
\(451\) | −7.54734 | − | 13.0724i | −0.355390 | − | 0.615554i | ||||
\(452\) | 2.40382 | + | 13.6327i | 0.113066 | + | 0.641229i | ||||
\(453\) | 12.8674 | + | 0.0204675i | 0.604564 | + | 0.000961646i | ||||
\(454\) | 2.18280 | − | 0.794476i | 0.102444 | − | 0.0372866i | ||||
\(455\) | 1.63128 | − | 9.25146i | 0.0764757 | − | 0.433715i | ||||
\(456\) | 1.67225 | − | 9.39636i | 0.0783101 | − | 0.440025i | ||||
\(457\) | −5.60055 | + | 4.69942i | −0.261983 | + | 0.219829i | −0.764312 | − | 0.644847i | \(-0.776921\pi\) |
0.502329 | + | 0.864677i | \(0.332477\pi\) | |||||||
\(458\) | −3.65715 | −0.170887 | ||||||||
\(459\) | −13.2189 | − | 23.1503i | −0.617008 | − | 1.08056i | ||||
\(460\) | 7.99615 | 0.372822 | ||||||||
\(461\) | −23.1527 | + | 19.4274i | −1.07833 | + | 0.904826i | −0.995781 | − | 0.0917613i | \(-0.970750\pi\) |
−0.0825483 | + | 0.996587i | \(0.526306\pi\) | |||||||
\(462\) | −2.22143 | − | 1.87003i | −0.103350 | − | 0.0870017i | ||||
\(463\) | −0.594122 | + | 3.36943i | −0.0276112 | + | 0.156591i | −0.995496 | − | 0.0948032i | \(-0.969778\pi\) |
0.967885 | + | 0.251394i | \(0.0808889\pi\) | |||||||
\(464\) | −0.619783 | + | 0.225583i | −0.0287727 | + | 0.0104724i | ||||
\(465\) | −6.20108 | − | 10.7802i | −0.287568 | − | 0.499918i | ||||
\(466\) | −2.56715 | − | 14.5591i | −0.118921 | − | 0.674435i | ||||
\(467\) | 0.0717234 | + | 0.124229i | 0.00331896 | + | 0.00574861i | 0.867680 | − | 0.497123i | \(-0.165610\pi\) |
−0.864361 | + | 0.502872i | \(0.832277\pi\) | |||||||
\(468\) | −3.42679 | + | 19.0791i | −0.158403 | + | 0.881934i | ||||
\(469\) | −7.83077 | + | 13.5633i | −0.361591 | + | 0.626294i | ||||
\(470\) | −0.0318801 | − | 0.0116034i | −0.00147052 | − | 0.000535225i | ||||
\(471\) | 25.4837 | − | 21.3144i | 1.17423 | − | 0.982116i | ||||
\(472\) | −4.54937 | − | 3.81737i | −0.209402 | − | 0.175709i | ||||
\(473\) | −6.56711 | − | 5.51046i | −0.301956 | − | 0.253371i | ||||
\(474\) | 2.45330 | + | 14.0440i | 0.112684 | + | 0.645061i | ||||
\(475\) | 14.9448 | + | 5.43945i | 0.685713 | + | 0.249579i | ||||
\(476\) | 2.56522 | − | 4.44309i | 0.117577 | − | 0.203649i | ||||
\(477\) | 8.88700 | − | 7.40903i | 0.406908 | − | 0.339236i | ||||
\(478\) | −8.16191 | − | 14.1368i | −0.373317 | − | 0.646604i | ||||
\(479\) | −2.20608 | − | 12.5113i | −0.100798 | − | 0.571656i | −0.992816 | − | 0.119654i | \(-0.961821\pi\) |
0.892017 | − | 0.452001i | \(-0.149290\pi\) | |||||||
\(480\) | −1.26256 | + | 2.17881i | −0.0576277 | + | 0.0994485i | ||||
\(481\) | 10.9382 | − | 3.98119i | 0.498741 | − | 0.181527i | ||||
\(482\) | 1.52735 | − | 8.66203i | 0.0695689 | − | 0.394545i | ||||
\(483\) | 8.95676 | − | 3.24387i | 0.407547 | − | 0.147601i | ||||
\(484\) | −6.27345 | + | 5.26405i | −0.285157 | + | 0.239275i | ||||
\(485\) | 4.67543 | 0.212300 | ||||||||
\(486\) | 11.8614 | + | 10.1147i | 0.538043 | + | 0.458813i | ||||
\(487\) | −15.7746 | −0.714813 | −0.357407 | − | 0.933949i | \(-0.616339\pi\) | ||||
−0.357407 | + | 0.933949i | \(0.616339\pi\) | |||||||
\(488\) | −5.14356 | + | 4.31596i | −0.232838 | + | 0.195374i | ||||
\(489\) | −21.4608 | + | 7.77246i | −0.970492 | + | 0.351483i | ||||
\(490\) | 0.252463 | − | 1.43179i | 0.0114051 | − | 0.0646816i | ||||
\(491\) | −39.2068 | + | 14.2701i | −1.76938 | + | 0.644000i | −0.769390 | + | 0.638779i | \(0.779440\pi\) |
−0.999986 | + | 0.00522126i | \(0.998338\pi\) | |||||||
\(492\) | −7.81897 | + | 13.4932i | −0.352507 | + | 0.608323i | ||||
\(493\) | 0.587596 | + | 3.33242i | 0.0264640 | + | 0.150085i | ||||
\(494\) | 17.8021 | + | 30.8342i | 0.800956 | + | 1.38730i | ||||
\(495\) | 5.61638 | − | 4.68234i | 0.252438 | − | 0.210455i | ||||
\(496\) | −2.46933 | + | 4.27700i | −0.110876 | + | 0.192043i | ||||
\(497\) | 7.27023 | + | 2.64615i | 0.326115 | + | 0.118696i | ||||
\(498\) | −3.10406 | − | 17.7692i | −0.139096 | − | 0.796257i | ||||
\(499\) | −2.37559 | − | 1.99336i | −0.106346 | − | 0.0892348i | 0.588064 | − | 0.808814i | \(-0.299890\pi\) |
−0.694410 | + | 0.719579i | \(0.744335\pi\) | |||||||
\(500\) | −8.78317 | − | 7.36996i | −0.392795 | − | 0.329594i | ||||
\(501\) | −3.00599 | + | 2.51419i | −0.134298 | + | 0.112326i | ||||
\(502\) | −20.4918 | − | 7.45841i | −0.914594 | − | 0.332885i | ||||
\(503\) | 4.02885 | − | 6.97816i | 0.179637 | − | 0.311141i | −0.762119 | − | 0.647437i | \(-0.775841\pi\) |
0.941756 | + | 0.336296i | \(0.109174\pi\) | |||||||
\(504\) | −0.530341 | + | 2.95275i | −0.0236233 | + | 0.131526i | ||||
\(505\) | −9.89473 | − | 17.1382i | −0.440310 | − | 0.762639i | ||||
\(506\) | 1.60112 | + | 9.08038i | 0.0711783 | + | 0.403672i | ||||
\(507\) | −24.8302 | − | 43.1656i | −1.10275 | − | 1.91705i | ||||
\(508\) | −2.89326 | + | 1.05306i | −0.128368 | + | 0.0467221i | ||||
\(509\) | −5.41191 | + | 30.6925i | −0.239879 | + | 1.36042i | 0.592213 | + | 0.805782i | \(0.298255\pi\) |
−0.832091 | + | 0.554638i | \(0.812857\pi\) | |||||||
\(510\) | 9.88361 | + | 8.32016i | 0.437653 | + | 0.368423i | ||||
\(511\) | 8.52661 | − | 7.15468i | 0.377195 | − | 0.316504i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | 28.6317 | + | 0.136629i | 1.26412 | + | 0.00603233i | ||||
\(514\) | −16.6660 | −0.735107 | ||||||||
\(515\) | −18.2748 | + | 15.3344i | −0.805284 | + | 0.675714i | ||||
\(516\) | −1.55186 | + | 8.71989i | −0.0683167 | + | 0.383872i | ||||
\(517\) | 0.00679322 | − | 0.0385263i | 0.000298766 | − | 0.00169438i | ||||
\(518\) | 1.69284 | − | 0.616143i | 0.0743790 | − | 0.0270718i | ||||
\(519\) | 23.1277 | + | 0.0367880i | 1.01519 | + | 0.00161481i | ||||
\(520\) | −1.63128 | − | 9.25146i | −0.0715365 | − | 0.405704i | ||||
\(521\) | 8.74993 | + | 15.1553i | 0.383342 | + | 0.663967i | 0.991538 | − | 0.129820i | \(-0.0414399\pi\) |
−0.608196 | + | 0.793787i | \(0.708107\pi\) | |||||||
\(522\) | −0.983883 | − | 1.71672i | −0.0430634 | − | 0.0751390i | ||||
\(523\) | −4.93537 | + | 8.54831i | −0.215809 | + | 0.373792i | −0.953522 | − | 0.301322i | \(-0.902572\pi\) |
0.737714 | + | 0.675114i | \(0.235905\pi\) | |||||||
\(524\) | −17.2363 | − | 6.27350i | −0.752971 | − | 0.274059i | ||||
\(525\) | −4.69492 | − | 1.71727i | −0.204903 | − | 0.0749479i | ||||
\(526\) | −14.2086 | − | 11.9225i | −0.619526 | − | 0.519844i | ||||
\(527\) | 19.4096 | + | 16.2866i | 0.845496 | + | 0.709455i | ||||
\(528\) | −2.72705 | − | 0.997481i | −0.118680 | − | 0.0434098i | ||||
\(529\) | −6.81160 | − | 2.47922i | −0.296157 | − | 0.107792i | ||||
\(530\) | −2.80363 | + | 4.85604i | −0.121782 | + | 0.210933i | ||||
\(531\) | 8.95721 | − | 15.4010i | 0.388710 | − | 0.668346i | ||||
\(532\) | 2.75512 | + | 4.77200i | 0.119449 | + | 0.206892i | ||||
\(533\) | −10.1025 | − | 57.2939i | −0.437586 | − | 2.48167i | ||||
\(534\) | 14.3381 | + | 0.0228067i | 0.620468 | + | 0.000986944i | ||||
\(535\) | 14.9253 | − | 5.43235i | 0.645275 | − | 0.234861i | ||||
\(536\) | −2.71960 | + | 15.4236i | −0.117469 | + | 0.666198i | ||||
\(537\) | 1.65853 | − | 9.31928i | 0.0715708 | − | 0.402157i | ||||
\(538\) | 16.0593 | − | 13.4753i | 0.692365 | − | 0.580963i | ||||
\(539\) | 1.67648 | 0.0722112 | ||||||||
\(540\) | −7.08655 | − | 2.61766i | −0.304957 | − | 0.112646i | ||||
\(541\) | −12.7711 | −0.549071 | −0.274536 | − | 0.961577i | \(-0.588524\pi\) | ||||
−0.274536 | + | 0.961577i | \(0.588524\pi\) | |||||||
\(542\) | 14.7239 | − | 12.3548i | 0.632445 | − | 0.530684i | ||||
\(543\) | 7.19388 | + | 6.05591i | 0.308719 | + | 0.259884i | ||||
\(544\) | 0.890891 | − | 5.05249i | 0.0381966 | − | 0.216624i | ||||
\(545\) | −11.2897 | + | 4.10913i | −0.483599 | + | 0.176016i | ||||
\(546\) | −5.58038 | − | 9.70111i | −0.238818 | − | 0.415169i | ||||
\(547\) | −3.26077 | − | 18.4927i | −0.139420 | − | 0.790692i | −0.971679 | − | 0.236305i | \(-0.924064\pi\) |
0.832259 | − | 0.554387i | \(-0.187047\pi\) | |||||||
\(548\) | −6.75348 | − | 11.6974i | −0.288494 | − | 0.499687i | ||||
\(549\) | −15.3894 | − | 12.9969i | −0.656805 | − | 0.554695i | ||||
\(550\) | 2.41937 | − | 4.19047i | 0.103162 | − | 0.178682i | ||||
\(551\) | −3.41515 | − | 1.24301i | −0.145490 | − | 0.0529541i | ||||
\(552\) | 7.30713 | − | 6.11163i | 0.311012 | − | 0.260128i | ||||
\(553\) | −6.30537 | − | 5.29083i | −0.268132 | − | 0.224989i | ||||
\(554\) | −6.28120 | − | 5.27055i | −0.266863 | − | 0.223924i | ||||
\(555\) | 0.780641 | + | 4.46879i | 0.0331364 | + | 0.189690i | ||||
\(556\) | −20.2700 | − | 7.37768i | −0.859640 | − | 0.312883i | ||||
\(557\) | −2.66654 | + | 4.61859i | −0.112985 | + | 0.195696i | −0.916973 | − | 0.398950i | \(-0.869375\pi\) |
0.803987 | + | 0.594646i | \(0.202708\pi\) | |||||||
\(558\) | −13.9063 | − | 5.11162i | −0.588699 | − | 0.216392i | ||||
\(559\) | −16.5205 | − | 28.6144i | −0.698743 | − | 1.21026i | ||||
\(560\) | −0.252463 | − | 1.43179i | −0.0106685 | − | 0.0605041i | ||||
\(561\) | −7.46927 | + | 12.8898i | −0.315353 | + | 0.544206i | ||||
\(562\) | −5.61750 | + | 2.04460i | −0.236960 | + | 0.0862464i | ||||
\(563\) | −6.28769 | + | 35.6593i | −0.264995 | + | 1.50286i | 0.504056 | + | 0.863671i | \(0.331841\pi\) |
−0.769050 | + | 0.639188i | \(0.779271\pi\) | |||||||
\(564\) | −0.0380018 | + | 0.0137631i | −0.00160016 | + | 0.000579531i | ||||
\(565\) | 15.4174 | − | 12.9368i | 0.648616 | − | 0.544254i | ||||
\(566\) | 6.51019 | 0.273644 | ||||||||
\(567\) | −8.99982 | − | 0.0572628i | −0.377957 | − | 0.00240481i | ||||
\(568\) | 7.73682 | 0.324630 | ||||||||
\(569\) | −8.19819 | + | 6.87910i | −0.343686 | + | 0.288387i | −0.798249 | − | 0.602328i | \(-0.794240\pi\) |
0.454563 | + | 0.890715i | \(0.349796\pi\) | |||||||
\(570\) | −13.0465 | + | 4.72505i | −0.546458 | + | 0.197911i | ||||
\(571\) | −7.74989 | + | 43.9518i | −0.324323 | + | 1.83933i | 0.190070 | + | 0.981771i | \(0.439128\pi\) |
−0.514393 | + | 0.857555i | \(0.671983\pi\) | |||||||
\(572\) | 10.1793 | − | 3.70495i | 0.425617 | − | 0.154912i | ||||
\(573\) | 19.2558 | − | 33.2298i | 0.804421 | − | 1.38819i | ||||
\(574\) | −1.56349 | − | 8.86699i | −0.0652588 | − | 0.370101i | ||||
\(575\) | 7.93702 | + | 13.7473i | 0.330997 | + | 0.573303i | ||||
\(576\) | 0.511543 | + | 2.95607i | 0.0213143 | + | 0.123169i | ||||
\(577\) | −19.1682 | + | 33.2003i | −0.797982 | + | 1.38215i | 0.122946 | + | 0.992413i | \(0.460766\pi\) |
−0.920928 | + | 0.389732i | \(0.872568\pi\) | |||||||
\(578\) | −8.75924 | − | 3.18810i | −0.364336 | − | 0.132608i | ||||
\(579\) | −2.35553 | − | 13.4843i | −0.0978927 | − | 0.560388i | ||||
\(580\) | 0.734573 | + | 0.616380i | 0.0305015 | + | 0.0255938i | ||||
\(581\) | 7.97790 | + | 6.69425i | 0.330979 | + | 0.277724i | ||||
\(582\) | 4.27256 | − | 3.57354i | 0.177103 | − | 0.148128i | ||||
\(583\) | −6.07588 | − | 2.21144i | −0.251637 | − | 0.0915884i | ||||
\(584\) | 5.56535 | − | 9.63947i | 0.230296 | − | 0.398884i | ||||
\(585\) | 26.5135 | − | 9.55470i | 1.09620 | − | 0.395038i | ||||
\(586\) | −16.7920 | − | 29.0847i | −0.693673 | − | 1.20148i | ||||
\(587\) | 2.16615 | + | 12.2849i | 0.0894066 | + | 0.507050i | 0.996318 | + | 0.0857297i | \(0.0273221\pi\) |
−0.906912 | + | 0.421321i | \(0.861567\pi\) | |||||||
\(588\) | −0.863638 | − | 1.50138i | −0.0356158 | − | 0.0619157i | ||||
\(589\) | −25.5720 | + | 9.30744i | −1.05367 | + | 0.383506i | ||||
\(590\) | −1.49932 | + | 8.50307i | −0.0617261 | + | 0.350066i | ||||
\(591\) | 6.10183 | + | 5.13660i | 0.250996 | + | 0.211292i | ||||
\(592\) | 1.38001 | − | 1.15797i | 0.0567182 | − | 0.0475922i | ||||
\(593\) | −47.7403 | −1.96046 | −0.980230 | − | 0.197860i | \(-0.936601\pi\) | ||||
−0.980230 | + | 0.197860i | \(0.936601\pi\) | |||||||
\(594\) | 1.55361 | − | 8.57160i | 0.0637456 | − | 0.351697i | ||||
\(595\) | −7.45901 | −0.305790 | ||||||||
\(596\) | 4.50522 | − | 3.78033i | 0.184541 | − | 0.154848i | ||||
\(597\) | 0.944775 | − | 5.30870i | 0.0386671 | − | 0.217270i | ||||
\(598\) | −6.17101 | + | 34.9975i | −0.252351 | + | 1.43115i | ||||
\(599\) | −21.2267 | + | 7.72589i | −0.867300 | + | 0.315671i | −0.737073 | − | 0.675813i | \(-0.763793\pi\) |
−0.130227 | + | 0.991484i | \(0.541570\pi\) | |||||||
\(600\) | −4.99912 | − | 0.00795182i | −0.204088 | − | 0.000324632i | ||||
\(601\) | −6.88656 | − | 39.0556i | −0.280909 | − | 1.59311i | −0.719544 | − | 0.694447i | \(-0.755649\pi\) |
0.438635 | − | 0.898665i | \(-0.355462\pi\) | |||||||
\(602\) | −2.55677 | − | 4.42845i | −0.104206 | − | 0.180490i | ||||
\(603\) | −46.9844 | − | 0.149471i | −1.91335 | − | 0.00608694i | ||||
\(604\) | −3.71451 | + | 6.43371i | −0.151141 | + | 0.261784i | ||||
\(605\) | 11.1883 | + | 4.07222i | 0.454870 | + | 0.165559i | ||||
\(606\) | −22.1412 | − | 8.09865i | −0.899425 | − | 0.328985i | ||||
\(607\) | 25.3809 | + | 21.2971i | 1.03018 | + | 0.864423i | 0.990872 | − | 0.134804i | \(-0.0430405\pi\) |
0.0393071 | + | 0.999227i | \(0.487485\pi\) | |||||||
\(608\) | 4.22108 | + | 3.54191i | 0.171187 | + | 0.143643i | ||||
\(609\) | 1.07287 | + | 0.392428i | 0.0434750 | + | 0.0159020i | ||||
\(610\) | 9.17325 | + | 3.33879i | 0.371414 | + | 0.135184i | ||||
\(611\) | 0.0753891 | − | 0.130578i | 0.00304992 | − | 0.00528261i | ||||
\(612\) | 15.3912 | + | 0.0489641i | 0.622154 | + | 0.00197926i | ||||
\(613\) | −1.52968 | − | 2.64949i | −0.0617833 | − | 0.107012i | 0.833479 | − | 0.552551i | \(-0.186345\pi\) |
−0.895263 | + | 0.445539i | \(0.853012\pi\) | |||||||
\(614\) | 5.62850 | + | 31.9208i | 0.227148 | + | 1.28822i | ||||
\(615\) | 22.6732 | + | 0.0360649i | 0.914270 | + | 0.00145428i | ||||
\(616\) | 1.57538 | − | 0.573391i | 0.0634738 | − | 0.0231026i | ||||
\(617\) | −3.44599 | + | 19.5432i | −0.138731 | + | 0.786780i | 0.833458 | + | 0.552582i | \(0.186357\pi\) |
−0.972189 | + | 0.234198i | \(0.924754\pi\) | |||||||
\(618\) | −4.97969 | + | 27.9809i | −0.200313 | + | 1.12556i | ||||
\(619\) | 27.4005 | − | 22.9918i | 1.10132 | − | 0.924118i | 0.103807 | − | 0.994597i | \(-0.466897\pi\) |
0.997513 | + | 0.0704799i | \(0.0224530\pi\) | |||||||
\(620\) | 7.18018 | 0.288363 | ||||||||
\(621\) | 21.8043 | + | 18.4740i | 0.874977 | + | 0.741336i | ||||
\(622\) | 5.23900 | 0.210065 | ||||||||
\(623\) | −6.34138 | + | 5.32105i | −0.254062 | + | 0.213183i | ||||
\(624\) | −8.56182 | − | 7.20746i | −0.342747 | − | 0.288529i | ||||
\(625\) | −0.388683 | + | 2.20433i | −0.0155473 | + | 0.0881732i | ||||
\(626\) | 20.4683 | − | 7.44987i | 0.818079 | − | 0.297757i | ||||
\(627\) | −7.97812 | − | 13.8694i | −0.318616 | − | 0.553891i | ||||
\(628\) | 3.33073 | + | 18.8895i | 0.132911 | + | 0.753774i | ||||
\(629\) | −4.62119 | − | 8.00414i | −0.184259 | − | 0.319146i | ||||
\(630\) | 4.10331 | − | 1.47872i | 0.163480 | − | 0.0589135i | ||||
\(631\) | 12.6095 | − | 21.8403i | 0.501976 | − | 0.869449i | −0.498021 | − | 0.867165i | \(-0.665940\pi\) |
0.999997 | − | 0.00228358i | \(-0.000726888\pi\) | |||||||
\(632\) | −7.73468 | − | 2.81519i | −0.307669 | − | 0.111982i | ||||
\(633\) | 1.08120 | − | 0.904311i | 0.0429740 | − | 0.0359431i | ||||
\(634\) | 7.90151 | + | 6.63015i | 0.313809 | + | 0.263317i | ||||
\(635\) | 3.42912 | + | 2.87738i | 0.136081 | + | 0.114185i | ||||
\(636\) | 1.14953 | + | 6.58048i | 0.0455817 | + | 0.260933i | ||||
\(637\) | 6.07180 | + | 2.20996i | 0.240574 | + | 0.0875617i | ||||
\(638\) | −0.552870 | + | 0.957599i | −0.0218883 | + | 0.0379117i | ||||
\(639\) | 3.95772 | + | 22.8706i | 0.156565 | + | 0.904745i | ||||
\(640\) | −0.726937 | − | 1.25909i | −0.0287347 | − | 0.0497700i | ||||
\(641\) | −5.31359 | − | 30.1348i | −0.209874 | − | 1.19025i | −0.889583 | − | 0.456773i | \(-0.849005\pi\) |
0.679709 | − | 0.733482i | \(-0.262106\pi\) | |||||||
\(642\) | 9.48711 | − | 16.3720i | 0.374426 | − | 0.646150i | ||||
\(643\) | 20.4612 | − | 7.44725i | 0.806909 | − | 0.293691i | 0.0945628 | − | 0.995519i | \(-0.469855\pi\) |
0.712347 | + | 0.701828i | \(0.247632\pi\) | |||||||
\(644\) | −0.955045 | + | 5.41633i | −0.0376341 | + | 0.213433i | ||||
\(645\) | 12.1073 | − | 4.38488i | 0.476723 | − | 0.172655i | ||||
\(646\) | 21.6560 | − | 18.1715i | 0.852044 | − | 0.714950i | ||||
\(647\) | 3.85403 | 0.151518 | 0.0757588 | − | 0.997126i | \(-0.475862\pi\) | ||||
0.0757588 | + | 0.997126i | \(0.475862\pi\) | |||||||
\(648\) | −8.47665 | + | 3.02431i | −0.332994 | + | 0.118806i | ||||
\(649\) | −9.95626 | −0.390817 | ||||||||
\(650\) | 14.2863 | − | 11.9876i | 0.560355 | − | 0.470193i | ||||
\(651\) | 8.04277 | − | 2.91285i | 0.315221 | − | 0.114164i | ||||
\(652\) | 2.28833 | − | 12.9778i | 0.0896181 | − | 0.508249i | ||||
\(653\) | −14.1699 | + | 5.15742i | −0.554511 | + | 0.201826i | −0.604050 | − | 0.796947i | \(-0.706447\pi\) |
0.0495385 | + | 0.998772i | \(0.484225\pi\) | |||||||
\(654\) | −7.17622 | + | 12.3840i | −0.280612 | + | 0.484254i | ||||
\(655\) | 4.63079 | + | 26.2625i | 0.180940 | + | 1.02616i | ||||
\(656\) | −4.50189 | − | 7.79750i | −0.175769 | − | 0.304441i | ||||
\(657\) | 31.3418 | + | 11.5205i | 1.22276 | + | 0.449459i | ||||
\(658\) | 0.0116675 | − | 0.0202086i | 0.000454845 | − | 0.000787815i | ||||
\(659\) | 12.4813 | + | 4.54281i | 0.486201 | + | 0.176963i | 0.573477 | − | 0.819221i | \(-0.305594\pi\) |
−0.0872764 | + | 0.996184i | \(0.527816\pi\) | |||||||
\(660\) | 0.726475 | + | 4.15872i | 0.0282780 | + | 0.161878i | ||||
\(661\) | −28.2353 | − | 23.6922i | −1.09823 | − | 0.921521i | −0.100921 | − | 0.994894i | \(-0.532179\pi\) |
−0.997305 | + | 0.0733734i | \(0.976624\pi\) | |||||||
\(662\) | 14.8016 | + | 12.4200i | 0.575280 | + | 0.482718i | ||||
\(663\) | −44.0433 | + | 36.8375i | −1.71050 | + | 1.43065i | ||||
\(664\) | 9.78635 | + | 3.56194i | 0.379784 | + | 0.138230i | ||||
\(665\) | 4.00559 | − | 6.93789i | 0.155330 | − | 0.269040i | ||||
\(666\) | 4.12897 | + | 3.48706i | 0.159994 | + | 0.135121i | ||||
\(667\) | −1.81375 | − | 3.14151i | −0.0702287 | − | 0.121640i | ||||
\(668\) | −0.392884 | − | 2.22816i | −0.0152012 | − | 0.0862100i | ||||
\(669\) | 5.19112 | + | 9.02441i | 0.200700 | + | 0.348904i | ||||
\(670\) | 21.3967 | − | 7.78777i | 0.826627 | − | 0.300868i | ||||
\(671\) | −1.95470 | + | 11.0856i | −0.0754602 | + | 0.427956i | ||||
\(672\) | −1.32506 | − | 1.11545i | −0.0511151 | − | 0.0430294i | ||||
\(673\) | −6.63229 | + | 5.56515i | −0.255656 | + | 0.214521i | −0.761603 | − | 0.648044i | \(-0.775587\pi\) |
0.505947 | + | 0.862564i | \(0.331143\pi\) | |||||||
\(674\) | −29.3668 | −1.13117 | ||||||||
\(675\) | −2.53376 | − | 14.7818i | −0.0975245 | − | 0.568952i | ||||
\(676\) | 28.7507 | 1.10580 | ||||||||
\(677\) | 24.3917 | − | 20.4670i | 0.937447 | − | 0.786612i | −0.0396918 | − | 0.999212i | \(-0.512638\pi\) |
0.977139 | + | 0.212600i | \(0.0681932\pi\) | |||||||
\(678\) | 4.20109 | − | 23.6059i | 0.161342 | − | 0.906580i | ||||
\(679\) | −0.558425 | + | 3.16699i | −0.0214304 | + | 0.121538i | ||||
\(680\) | −7.00918 | + | 2.55113i | −0.268790 | + | 0.0978315i | ||||
\(681\) | −4.02336 | − | 0.00639974i | −0.154176 | − | 0.000245238i | ||||
\(682\) | 1.43773 | + | 8.15378i | 0.0550536 | + | 0.312224i | ||||
\(683\) | 7.77247 | + | 13.4623i | 0.297405 | + | 0.515121i | 0.975542 | − | 0.219815i | \(-0.0705454\pi\) |
−0.678136 | + | 0.734936i | \(0.737212\pi\) | |||||||
\(684\) | −8.31085 | + | 14.2896i | −0.317773 | + | 0.546378i | ||||
\(685\) | −9.81871 | + | 17.0065i | −0.375154 | + | 0.649785i | ||||
\(686\) | 0.939693 | + | 0.342020i | 0.0358776 | + | 0.0130584i | ||||
\(687\) | 5.94890 | + | 2.17594i | 0.226965 | + | 0.0830175i | ||||
\(688\) | −3.91720 | − | 3.28692i | −0.149342 | − | 0.125313i | ||||
\(689\) | −19.0902 | − | 16.0186i | −0.727278 | − | 0.610259i | ||||
\(690\) | −13.0069 | − | 4.75758i | −0.495166 | − | 0.181118i | ||||
\(691\) | −35.3951 | − | 12.8828i | −1.34649 | − | 0.490083i | −0.434641 | − | 0.900604i | \(-0.643125\pi\) |
−0.911851 | + | 0.410520i | \(0.865347\pi\) | |||||||
\(692\) | −6.67641 | + | 11.5639i | −0.253799 | + | 0.439593i | ||||
\(693\) | 2.50085 | + | 4.36361i | 0.0949996 | + | 0.165760i | ||||
\(694\) | 8.06379 | + | 13.9669i | 0.306097 | + | 0.530176i | ||||
\(695\) | 5.44585 | + | 30.8849i | 0.206573 | + | 1.17153i | ||||
\(696\) | 1.14239 | + | 0.00181713i | 0.0433021 | + | 6.88783e-5i | ||||
\(697\) | −43.4075 | + | 15.7990i | −1.64418 | + | 0.598432i | ||||
\(698\) | 0.0590804 | − | 0.335062i | 0.00223623 | − | 0.0126823i | ||||
\(699\) | −4.48655 | + | 25.2099i | −0.169697 | + | 0.953527i | ||||
\(700\) | 2.21099 | − | 1.85524i | 0.0835677 | − | 0.0701216i | ||||
\(701\) | 33.1732 | 1.25294 | 0.626468 | − | 0.779447i | \(-0.284500\pi\) | ||||
0.626468 | + | 0.779447i | \(0.284500\pi\) | |||||||
\(702\) | 16.9260 | − | 28.9962i | 0.638830 | − | 1.09439i | ||||
\(703\) | 9.92657 | 0.374388 | ||||||||
\(704\) | 1.28426 | − | 1.07762i | 0.0484024 | − | 0.0406144i | ||||
\(705\) | 0.0449539 | + | 0.0378428i | 0.00169306 | + | 0.00142524i | ||||
\(706\) | 0.799120 | − | 4.53204i | 0.0300753 | − | 0.170565i | ||||
\(707\) | 12.7906 | − | 4.65542i | 0.481042 | − | 0.175085i | ||||
\(708\) | 5.12896 | + | 8.91634i | 0.192758 | + | 0.335097i | ||||
\(709\) | −8.77219 | − | 49.7496i | −0.329446 | − | 1.86838i | −0.476383 | − | 0.879238i | \(-0.658053\pi\) |
0.146937 | − | 0.989146i | \(-0.453059\pi\) | |||||||
\(710\) | −5.62419 | − | 9.74138i | −0.211072 | − | 0.365587i | ||||
\(711\) | 4.36528 | − | 24.3043i | 0.163711 | − | 0.911483i | ||||
\(712\) | −4.13904 | + | 7.16904i | −0.155117 | + | 0.268671i | ||||
\(713\) | −25.5240 | − | 9.28996i | −0.955880 | − | 0.347912i | ||||
\(714\) | −6.81628 | + | 5.70109i | −0.255093 | + | 0.213358i | ||||
\(715\) | −12.0646 | − | 10.1234i | −0.451189 | − | 0.378593i | ||||
\(716\) | 4.18646 | + | 3.51285i | 0.156455 | + | 0.131281i | ||||
\(717\) | 4.86538 | + | 27.8519i | 0.181701 | + | 1.04015i | ||||
\(718\) | 19.5355 | + | 7.11033i | 0.729058 | + | 0.265355i | ||||
\(719\) | −21.7107 | + | 37.6041i | −0.809674 | + | 1.40240i | 0.103417 | + | 0.994638i | \(0.467022\pi\) |
−0.913090 | + | 0.407758i | \(0.866311\pi\) | |||||||
\(720\) | 3.35010 | − | 2.79295i | 0.124851 | − | 0.104087i | ||||
\(721\) | −8.20431 | − | 14.2103i | −0.305544 | − | 0.529218i | ||||
\(722\) | 1.97310 | + | 11.1900i | 0.0734313 | + | 0.416450i | ||||
\(723\) | −7.63824 | + | 13.1814i | −0.284069 | + | 0.490220i | ||||
\(724\) | −5.10170 | + | 1.85687i | −0.189603 | + | 0.0690099i | ||||
\(725\) | −0.330566 | + | 1.87473i | −0.0122769 | + | 0.0696258i | ||||
\(726\) | 13.3367 | − | 4.83017i | 0.494973 | − | 0.179264i | ||||
\(727\) | 0.575185 | − | 0.482638i | 0.0213324 | − | 0.0179000i | −0.632059 | − | 0.774920i | \(-0.717790\pi\) |
0.653392 | + | 0.757020i | \(0.273346\pi\) | |||||||
\(728\) | 6.46148 | 0.239478 | ||||||||
\(729\) | −13.2762 | − | 23.5105i | −0.491712 | − | 0.870758i | ||||
\(730\) | −16.1826 | −0.598947 | ||||||||
\(731\) | −20.0969 | + | 16.8633i | −0.743312 | + | 0.623713i | ||||
\(732\) | 10.9347 | − | 3.96022i | 0.404159 | − | 0.146374i | ||||
\(733\) | −3.98653 | + | 22.6088i | −0.147246 | + | 0.835073i | 0.818290 | + | 0.574805i | \(0.194922\pi\) |
−0.965536 | + | 0.260268i | \(0.916189\pi\) | |||||||
\(734\) | 2.21844 | − | 0.807447i | 0.0818842 | − | 0.0298034i | ||||
\(735\) | −1.26256 | + | 2.17881i | −0.0465702 | + | 0.0803665i | ||||
\(736\) | 0.955045 | + | 5.41633i | 0.0352034 | + | 0.199649i | ||||
\(737\) | 13.1281 | + | 22.7386i | 0.483581 | + | 0.837587i | ||||
\(738\) | 20.7470 | − | 17.2966i | 0.763708 | − | 0.636698i | ||||
\(739\) | −10.0390 | + | 17.3881i | −0.369291 | + | 0.639630i | −0.989455 | − | 0.144842i | \(-0.953733\pi\) |
0.620164 | + | 0.784472i | \(0.287066\pi\) | |||||||
\(740\) | −2.46117 | − | 0.895794i | −0.0904746 | − | 0.0329301i | ||||
\(741\) | −10.6120 | − | 60.7484i | −0.389841 | − | 2.23165i | ||||
\(742\) | −2.95446 | − | 2.47909i | −0.108462 | − | 0.0910102i | ||||
\(743\) | −16.2467 | − | 13.6326i | −0.596035 | − | 0.500133i | 0.294133 | − | 0.955764i | \(-0.404969\pi\) |
−0.890168 | + | 0.455632i | \(0.849413\pi\) | |||||||
\(744\) | 6.56148 | − | 5.48797i | 0.240556 | − | 0.201199i | ||||
\(745\) | −8.03481 | − | 2.92443i | −0.294373 | − | 0.107143i | ||||
\(746\) | 0.781745 | − | 1.35402i | 0.0286217 | − | 0.0495743i | ||||
\(747\) | −5.52319 | + | 30.7512i | −0.202083 | + | 1.12513i | ||||
\(748\) | −4.30054 | − | 7.44876i | −0.157243 | − | 0.272354i | ||||
\(749\) | 1.89705 | + | 10.7587i | 0.0693168 | + | 0.393115i | ||||
\(750\) | 9.90215 | + | 17.2142i | 0.361575 | + | 0.628574i | ||||
\(751\) | 28.7050 | − | 10.4478i | 1.04746 | − | 0.381245i | 0.239757 | − | 0.970833i | \(-0.422932\pi\) |
0.807704 | + | 0.589588i | \(0.200710\pi\) | |||||||
\(752\) | 0.00405207 | − | 0.0229804i | 0.000147764 | − | 0.000838010i | ||||
\(753\) | 28.8954 | + | 24.3245i | 1.05301 | + | 0.886435i | ||||
\(754\) | −3.26467 | + | 2.73939i | −0.118892 | + | 0.0997626i | ||||
\(755\) | 10.8009 | 0.393083 | ||||||||
\(756\) | 2.61952 | − | 4.48755i | 0.0952710 | − | 0.163211i | ||||
\(757\) | 4.76603 | 0.173224 | 0.0866121 | − | 0.996242i | \(-0.472396\pi\) | ||||
0.0866121 | + | 0.996242i | \(0.472396\pi\) | |||||||
\(758\) | 28.1093 | − | 23.5865i | 1.02098 | − | 0.856701i | ||||
\(759\) | 2.79823 | − | 15.7233i | 0.101569 | − | 0.570718i | ||||
\(760\) | 1.39113 | − | 7.88948i | 0.0504615 | − | 0.286182i | ||||
\(761\) | 15.4560 | − | 5.62552i | 0.560279 | − | 0.203925i | −0.0463286 | − | 0.998926i | \(-0.514752\pi\) |
0.606608 | + | 0.795001i | \(0.292530\pi\) | |||||||
\(762\) | 5.33288 | + | 0.00848272i | 0.193190 | + | 0.000307297i | ||||
\(763\) | −1.43496 | − | 8.13808i | −0.0519492 | − | 0.294618i | ||||
\(764\) | 11.0868 | + | 19.2029i | 0.401106 | + | 0.694736i | ||||
\(765\) | −11.1268 | − | 19.4146i | −0.402291 | − | 0.701936i | ||||
\(766\) | 4.85686 | − | 8.41233i | 0.175486 | − | 0.303950i | ||||
\(767\) | −36.0591 | − | 13.1244i | −1.30202 | − | 0.473896i | ||||
\(768\) | −1.62665 | − | 0.594984i | −0.0586967 | − | 0.0214697i | ||||
\(769\) | 15.0173 | + | 12.6010i | 0.541536 | + | 0.454403i | 0.872063 | − | 0.489394i | \(-0.162782\pi\) |
−0.330527 | + | 0.943797i | \(0.607226\pi\) | |||||||
\(770\) | −1.86715 | − | 1.56673i | −0.0672875 | − | 0.0564609i | ||||
\(771\) | 27.1098 | + | 9.91602i | 0.976336 | + | 0.357117i | ||||
\(772\) | 7.42644 | + | 2.70300i | 0.267283 | + | 0.0972832i | ||||
\(773\) | 7.47998 | − | 12.9557i | 0.269036 | − | 0.465985i | −0.699577 | − | 0.714557i | \(-0.746628\pi\) |
0.968613 | + | 0.248573i | \(0.0799615\pi\) | |||||||
\(774\) | 7.71253 | − | 13.2609i | 0.277221 | − | 0.476653i | ||||
\(775\) | 7.12709 | + | 12.3445i | 0.256013 | + | 0.443427i | ||||
\(776\) | 0.558425 | + | 3.16699i | 0.0200463 | + | 0.113688i | ||||
\(777\) | −3.12025 | − | 0.00496321i | −0.111938 | − | 0.000178054i | ||||
\(778\) | 22.4745 | − | 8.18004i | 0.805749 | − | 0.293269i | ||||
\(779\) | 8.61519 | − | 48.8592i | 0.308671 | − | 1.75056i | ||||
\(780\) | −2.85095 | + | 16.0195i | −0.102080 | + | 0.573590i | ||||
\(781\) | 9.93609 | − | 8.33737i | 0.355541 | − | 0.298335i | ||||
\(782\) | 28.2168 | 1.00903 | ||||||||
\(783\) | 0.579010 | + | 3.37791i | 0.0206921 | + | 0.120717i | ||||
\(784\) | 1.00000 | 0.0357143 | ||||||||
\(785\) | 21.3624 | − | 17.9252i | 0.762458 | − | 0.639778i | ||||
\(786\) | 24.3048 | + | 20.4601i | 0.866923 | + | 0.729788i | ||||
\(787\) | 5.37615 | − | 30.4896i | 0.191639 | − | 1.08684i | −0.725486 | − | 0.688237i | \(-0.758385\pi\) |
0.917124 | − | 0.398601i | \(-0.130504\pi\) | |||||||
\(788\) | −4.32725 | + | 1.57499i | −0.154152 | + | 0.0561067i | ||||
\(789\) | 16.0188 | + | 27.8476i | 0.570285 | + | 0.991401i | ||||
\(790\) | 2.07804 | + | 11.7852i | 0.0739334 | + | 0.419297i | ||||
\(791\) | 6.92151 | + | 11.9884i | 0.246101 | + | 0.426259i | ||||
\(792\) | 3.84248 | + | 3.24511i | 0.136536 | + | 0.115310i | ||||
\(793\) | −21.6926 | + | 37.5727i | −0.770328 | + | 1.33425i | ||||
\(794\) | 2.26180 | + | 0.823228i | 0.0802683 | + | 0.0292153i | ||||
\(795\) | 7.44980 | − | 6.23096i | 0.264217 | − | 0.220989i | ||||
\(796\) | 2.38480 | + | 2.00109i | 0.0845270 | + | 0.0709266i | ||||
\(797\) | 6.44926 | + | 5.41157i | 0.228444 | + | 0.191688i | 0.749824 | − | 0.661637i | \(-0.230138\pi\) |
−0.521380 | + | 0.853325i | \(0.674582\pi\) | |||||||
\(798\) | −1.64235 | − | 9.40163i | −0.0581384 | − | 0.332814i | ||||
\(799\) | −0.112499 | − | 0.0409461i | −0.00397991 | − | 0.00144857i | ||||
\(800\) | 1.44312 | − | 2.49956i | 0.0510221 | − | 0.0883729i | ||||
\(801\) | −23.3094 | − | 8.56802i | −0.823599 | − | 0.302736i | ||||
\(802\) | −6.52223 | − | 11.2968i | −0.230308 | − | 0.398905i | ||||
\(803\) | −3.24035 | − | 18.3769i | −0.114349 | − | 0.648508i | ||||
\(804\) | 13.6006 | − | 23.4707i | 0.479657 | − | 0.827748i | ||||
\(805\) | 7.51392 | − | 2.73484i | 0.264831 | − | 0.0963906i | ||||
\(806\) | −5.54129 | + | 31.4262i | −0.195184 | + | 1.10694i | ||||
\(807\) | −34.1405 | + | 12.3647i | −1.20180 | + | 0.435256i | ||||
\(808\) | 10.4270 | − | 8.74932i | 0.366822 | − | 0.307800i | ||||
\(809\) | −15.5557 | −0.546909 | −0.273455 | − | 0.961885i | \(-0.588166\pi\) | ||||
−0.273455 | + | 0.961885i | \(0.588166\pi\) | |||||||
\(810\) | 9.96988 | + | 8.47440i | 0.350306 | + | 0.297760i | ||||
\(811\) | −7.07470 | −0.248426 | −0.124213 | − | 0.992256i | \(-0.539641\pi\) | ||||
−0.124213 | + | 0.992256i | \(0.539641\pi\) | |||||||
\(812\) | −0.505252 | + | 0.423957i | −0.0177309 | + | 0.0148780i | ||||
\(813\) | −31.3015 | + | 11.3365i | −1.09779 | + | 0.397587i | ||||
\(814\) | 0.524443 | − | 2.97427i | 0.0183817 | − | 0.104248i | ||||
\(815\) | −18.0037 | + | 6.55281i | −0.630642 | + | 0.229535i | ||||
\(816\) | −4.45532 | + | 7.68858i | −0.155968 | + | 0.269154i | ||||
\(817\) | −4.89285 | − | 27.7487i | −0.171179 | − | 0.970804i | ||||
\(818\) | −12.2690 | − | 21.2505i | −0.428976 | − | 0.743008i | ||||
\(819\) | 3.30533 | + | 19.1006i | 0.115497 | + | 0.667428i | ||||
\(820\) | −6.54518 | + | 11.3366i | −0.228568 | + | 0.395891i | ||||
\(821\) | 42.7861 | + | 15.5729i | 1.49325 | + | 0.543497i | 0.954302 | − | 0.298845i | \(-0.0966014\pi\) |
0.538943 | + | 0.842342i | \(0.318824\pi\) | |||||||
\(822\) | 4.02580 | + | 23.0457i | 0.140416 | + | 0.803813i | ||||
\(823\) | 18.1934 | + | 15.2661i | 0.634183 | + | 0.532142i | 0.902225 | − | 0.431265i | \(-0.141932\pi\) |
−0.268043 | + | 0.963407i | \(0.586377\pi\) | |||||||
\(824\) | −12.5697 | − | 10.5473i | −0.437887 | − | 0.367431i | ||||
\(825\) | −6.42874 | + | 5.37695i | −0.223820 | + | 0.187201i | ||||
\(826\) | −5.58063 | − | 2.03118i | −0.194175 | − | 0.0706739i | ||||
\(827\) | −27.4146 | + | 47.4834i | −0.953298 | + | 1.65116i | −0.215081 | + | 0.976596i | \(0.569002\pi\) |
−0.738216 | + | 0.674564i | \(0.764332\pi\) | |||||||
\(828\) | −15.5225 | + | 5.59386i | −0.539444 | + | 0.194400i | ||||
\(829\) | 0.434526 | + | 0.752621i | 0.0150917 | + | 0.0261396i | 0.873473 | − | 0.486873i | \(-0.161863\pi\) |
−0.858381 | + | 0.513013i | \(0.828529\pi\) | |||||||
\(830\) | −2.62925 | − | 14.9112i | −0.0912626 | − | 0.517576i | ||||
\(831\) | 7.08142 | + | 12.3106i | 0.245652 | + | 0.427049i | ||||
\(832\) | 6.07180 | − | 2.20996i | 0.210502 | − | 0.0766164i | ||||
\(833\) | 0.890891 | − | 5.05249i | 0.0308675 | − | 0.175059i | ||||
\(834\) | 28.5826 | + | 24.0613i | 0.989736 | + | 0.833173i | ||||
\(835\) | −2.51986 | + | 2.11441i | −0.0872032 | + | 0.0731722i | ||||
\(836\) | 9.23780 | 0.319496 | ||||||||
\(837\) | 19.5793 | + | 16.5888i | 0.676759 | + | 0.573394i | ||||
\(838\) | −24.9547 | −0.862047 | ||||||||
\(839\) | 12.6251 | − | 10.5938i | 0.435868 | − | 0.365737i | −0.398292 | − | 0.917259i | \(-0.630397\pi\) |
0.834161 | + | 0.551522i | \(0.185953\pi\) | |||||||
\(840\) | −0.441222 | + | 2.47923i | −0.0152236 | + | 0.0855415i | ||||
\(841\) | −4.96026 | + | 28.1310i | −0.171043 | + | 0.970035i | ||||
\(842\) | 29.6213 | − | 10.7813i | 1.02082 | − | 0.371547i | ||||
\(843\) | 10.3542 | + | 0.0164699i | 0.356618 | + | 0.000567253i | ||||
\(844\) | 0.141314 | + | 0.801430i | 0.00486422 | + | 0.0275864i | ||||
\(845\) | −20.9000 | − | 36.1998i | −0.718981 | − | 1.24531i | ||||
\(846\) | 0.0700045 | 0.000222705i | 0.00240680 | 7.65675e-6i | ||||||
\(847\) | −4.09470 | + | 7.09224i | −0.140696 | + | 0.243692i | ||||
\(848\) | −3.62418 | − | 1.31909i | −0.124455 | − | 0.0452979i | ||||
\(849\) | −10.5898 | − | 3.87346i | −0.363441 | − | 0.132937i | ||||
\(850\) | −11.3434 | − | 9.51821i | −0.389074 | − | 0.326472i | ||||
\(851\) | 7.58992 | + | 6.36870i | 0.260179 | + | 0.218316i | ||||
\(852\) | −12.5851 | − | 4.60329i | −0.431159 | − | 0.157706i | ||||
\(853\) | 3.63897 | + | 1.32448i | 0.124596 | + | 0.0453493i | 0.403566 | − | 0.914951i | \(-0.367771\pi\) |
−0.278970 | + | 0.960300i | \(0.589993\pi\) | |||||||
\(854\) | −3.35722 | + | 5.81488i | −0.114882 | + | 0.198981i | ||||
\(855\) | 24.0334 | + | 0.0764575i | 0.821926 | + | 0.00261479i | ||||
\(856\) | 5.46234 | + | 9.46106i | 0.186699 | + | 0.323372i | ||||
\(857\) | −4.53325 | − | 25.7094i | −0.154853 | − | 0.878215i | −0.958920 | − | 0.283676i | \(-0.908446\pi\) |
0.804067 | − | 0.594539i | \(-0.202665\pi\) | |||||||
\(858\) | −18.7625 | − | 0.0298445i | −0.640542 | − | 0.00101887i | ||||
\(859\) | −9.09086 | + | 3.30880i | −0.310176 | + | 0.112895i | −0.492418 | − | 0.870359i | \(-0.663887\pi\) |
0.182242 | + | 0.983254i | \(0.441665\pi\) | |||||||
\(860\) | −1.29098 | + | 7.32150i | −0.0440220 | + | 0.249661i | ||||
\(861\) | −2.73247 | + | 15.3538i | −0.0931223 | + | 0.523254i | ||||
\(862\) | 2.84422 | − | 2.38658i | 0.0968744 | − | 0.0812873i | ||||
\(863\) | 34.6624 | 1.17992 | 0.589960 | − | 0.807432i | \(-0.299143\pi\) | ||||
0.589960 | + | 0.807432i | \(0.299143\pi\) | |||||||
\(864\) | 0.926711 | − | 5.11285i | 0.0315273 | − | 0.173943i | ||||
\(865\) | 19.4133 | 0.660073 | ||||||||
\(866\) | −1.87112 | + | 1.57006i | −0.0635834 | + | 0.0533528i | ||||
\(867\) | 12.3514 | + | 10.3975i | 0.419474 | + | 0.353119i | ||||
\(868\) | −0.857588 | + | 4.86362i | −0.0291084 | + | 0.165082i | ||||
\(869\) | −12.9671 | + | 4.71962i | −0.439877 | + | 0.160102i | ||||
\(870\) | −0.828157 | − | 1.43969i | −0.0280772 | − | 0.0488102i | ||||
\(871\) | 17.5726 | + | 99.6593i | 0.595425 | + | 3.37683i | ||||
\(872\) | −4.13181 | − | 7.15651i | −0.139921 | − | 0.242350i | ||||
\(873\) | −9.07616 | + | 3.27079i | −0.307182 | + | 0.110700i | ||||
\(874\) | −15.1528 | + | 26.2455i | −0.512552 | + | 0.887766i | ||||
\(875\) | −10.7742 | − | 3.92147i | −0.364233 | − | 0.132570i | ||||
\(876\) | −14.7882 | + | 12.3688i | −0.499648 | + | 0.417902i | ||||
\(877\) | 44.5856 | + | 37.4118i | 1.50555 | + | 1.26331i | 0.871900 | + | 0.489684i | \(0.162888\pi\) |
0.633648 | + | 0.773621i | \(0.281557\pi\) | |||||||
\(878\) | −18.4671 | − | 15.4958i | −0.623235 | − | 0.522956i | ||||
\(879\) | 10.0099 | + | 57.3016i | 0.337624 | + | 1.93274i | ||||
\(880\) | −2.29040 | − | 0.833638i | −0.0772094 | − | 0.0281019i | ||||
\(881\) | 25.1682 | − | 43.5926i | 0.847939 | − | 1.46867i | −0.0351057 | − | 0.999384i | \(-0.511177\pi\) |
0.883044 | − | 0.469289i | \(-0.155490\pi\) | |||||||
\(882\) | 0.511543 | + | 2.95607i | 0.0172246 | + | 0.0995359i | ||||
\(883\) | −16.2191 | − | 28.0923i | −0.545815 | − | 0.945380i | −0.998555 | − | 0.0537373i | \(-0.982887\pi\) |
0.452740 | − | 0.891643i | \(-0.350447\pi\) | |||||||
\(884\) | −5.75647 | − | 32.6466i | −0.193611 | − | 1.09802i | ||||
\(885\) | 7.49807 | − | 12.9395i | 0.252045 | − | 0.434955i | ||||
\(886\) | −20.7020 | + | 7.53492i | −0.695498 | + | 0.253140i | ||||
\(887\) | −2.34281 | + | 13.2868i | −0.0786640 | + | 0.446126i | 0.919881 | + | 0.392198i | \(0.128285\pi\) |
−0.998545 | + | 0.0539277i | \(0.982826\pi\) | |||||||
\(888\) | −2.93377 | + | 1.06253i | −0.0984510 | + | 0.0356560i | ||||
\(889\) | −2.35861 | + | 1.97911i | −0.0791052 | + | 0.0663772i | ||||
\(890\) | 12.0353 | 0.403424 | ||||||||
\(891\) | −7.62715 | + | 13.0186i | −0.255519 | + | 0.436140i | ||||
\(892\) | −6.01076 | −0.201255 | ||||||||
\(893\) | 0.0984987 | − | 0.0826502i | 0.00329613 | − | 0.00276578i | ||||
\(894\) | −9.57767 | + | 3.46874i | −0.320325 | + | 0.116012i | ||||
\(895\) | 1.37972 | − | 7.82476i | 0.0461188 | − | 0.261553i | ||||
\(896\) | 0.939693 | − | 0.342020i | 0.0313929 | − | 0.0114261i | ||||
\(897\) | 30.8611 | − | 53.2571i | 1.03042 | − | 1.77820i | ||||
\(898\) | −2.58842 | − | 14.6797i | −0.0863767 | − | 0.489867i | ||||
\(899\) | −1.62867 | − | 2.82094i | −0.0543191 | − | 0.0940835i | ||||
\(900\) | 8.12709 | + | 2.98733i | 0.270903 | + | 0.0995778i | ||||
\(901\) | −9.89347 | + | 17.1360i | −0.329599 | + | 0.570883i | ||||
\(902\) | −14.1844 | − | 5.16268i | −0.472287 | − | 0.171899i | ||||
\(903\) | 1.52411 | + | 8.72478i | 0.0507192 | + | 0.290343i | ||||
\(904\) | 10.6044 | + | 8.89813i | 0.352696 | + | 0.295947i | ||||
\(905\) | 6.04658 | + | 5.07369i | 0.200995 | + | 0.168655i | ||||
\(906\) | 9.87016 | − | 8.25533i | 0.327914 | − | 0.274265i | ||||
\(907\) | 9.83599 | + | 3.58001i | 0.326599 | + | 0.118872i | 0.500115 | − | 0.865959i | \(-0.333291\pi\) |
−0.173517 | + | 0.984831i | \(0.555513\pi\) | |||||||
\(908\) | 1.16145 | − | 2.01168i | 0.0385439 | − | 0.0667600i | ||||
\(909\) | 31.1974 | + | 26.3473i | 1.03475 | + | 0.873886i | ||||
\(910\) | −4.69709 | − | 8.13560i | −0.155707 | − | 0.269693i | ||||
\(911\) | −8.68255 | − | 49.2412i | −0.287666 | − | 1.63143i | −0.695605 | − | 0.718424i | \(-0.744864\pi\) |
0.407940 | − | 0.913009i | \(-0.366247\pi\) | |||||||
\(912\) | −4.75885 | − | 8.27293i | −0.157581 | − | 0.273944i | ||||
\(913\) | 16.4066 | − | 5.97153i | 0.542980 | − | 0.197629i | ||||
\(914\) | −1.26954 | + | 7.19992i | −0.0419927 | + | 0.238152i | ||||
\(915\) | −12.9351 | − | 10.8890i | −0.427623 | − | 0.359979i | ||||
\(916\) | −2.80154 | + | 2.35077i | −0.0925654 | + | 0.0776716i | ||||
\(917\) | −18.3425 | −0.605722 | ||||||||
\(918\) | −25.0070 | − | 9.23719i | −0.825355 | − | 0.304873i | ||||
\(919\) | −21.8982 | −0.722355 | −0.361177 | − | 0.932497i | \(-0.617625\pi\) | ||||
−0.361177 | + | 0.932497i | \(0.617625\pi\) | |||||||
\(920\) | 6.12540 | − | 5.13982i | 0.201949 | − | 0.169455i | ||||
\(921\) | 9.83679 | − | 55.2729i | 0.324133 | − | 1.82130i | ||||
\(922\) | −5.24829 | + | 29.7646i | −0.172843 | + | 0.980243i | ||||
\(923\) | 46.9765 | − | 17.0980i | 1.54625 | − | 0.562789i | ||||
\(924\) | −2.90375 | − | 0.00461883i | −0.0955263 | − | 0.000151948i | ||||
\(925\) | −0.902887 | − | 5.12053i | −0.0296867 | − | 0.168362i | ||||
\(926\) | 1.71070 | + | 2.96303i | 0.0562172 | + | 0.0973711i | ||||
\(927\) | 24.7484 | − | 42.5523i | 0.812845 | − | 1.39760i | ||||
\(928\) | −0.329780 | + | 0.571195i | −0.0108255 | + | 0.0187504i | ||||
\(929\) | 13.3132 | + | 4.84560i | 0.436791 | + | 0.158979i | 0.551050 | − | 0.834472i | \(-0.314227\pi\) |
−0.114259 | + | 0.993451i | \(0.536449\pi\) | |||||||
\(930\) | −11.6797 | − | 4.27210i | −0.382991 | − | 0.140088i | ||||
\(931\) | 4.22108 | + | 3.54191i | 0.138340 | + | 0.116081i | ||||
\(932\) | −11.3249 | − | 9.50275i | −0.370961 | − | 0.311273i | ||||
\(933\) | −8.52203 | − | 3.11712i | −0.278999 | − | 0.102050i | ||||
\(934\) | 0.134796 | + | 0.0490617i | 0.00441066 | + | 0.00160535i | ||||
\(935\) | −6.25245 | + | 10.8296i | −0.204477 | + | 0.354165i | ||||
\(936\) | 9.63877 | + | 16.8182i | 0.315053 | + | 0.549719i | ||||
\(937\) | 19.9027 | + | 34.4726i | 0.650194 | + | 1.12617i | 0.983076 | + | 0.183200i | \(0.0586457\pi\) |
−0.332882 | + | 0.942969i | \(0.608021\pi\) | |||||||
\(938\) | 2.71960 | + | 15.4236i | 0.0887980 | + | 0.503598i | ||||
\(939\) | −37.7274 | − | 0.0600109i | −1.23119 | − | 0.00195838i | ||||
\(940\) | −0.0318801 | + | 0.0116034i | −0.00103981 | + | 0.000378461i | ||||
\(941\) | −7.40042 | + | 41.9699i | −0.241247 | + | 1.36818i | 0.587803 | + | 0.809004i | \(0.299993\pi\) |
−0.829050 | + | 0.559174i | \(0.811118\pi\) | |||||||
\(942\) | 5.82103 | − | 32.7084i | 0.189660 | − | 1.06570i | ||||
\(943\) | 37.9343 | − | 31.8307i | 1.23531 | − | 1.03655i | ||||
\(944\) | −5.93878 | −0.193291 | ||||||||
\(945\) | −7.55447 | − | 0.0360497i | −0.245747 | − | 0.00117270i | ||||
\(946\) | −8.57275 | −0.278724 | ||||||||
\(947\) | 13.8597 | − | 11.6297i | 0.450380 | − | 0.377914i | −0.389197 | − | 0.921155i | \(-0.627247\pi\) |
0.839577 | + | 0.543241i | \(0.182803\pi\) | |||||||
\(948\) | 10.9066 | + | 9.18135i | 0.354231 | + | 0.298197i | ||||
\(949\) | 12.4889 | − | 70.8282i | 0.405407 | − | 2.29918i | ||||
\(950\) | 14.9448 | − | 5.43945i | 0.484872 | − | 0.176479i | ||||
\(951\) | −8.90816 | − | 15.4862i | −0.288867 | − | 0.502175i | ||||
\(952\) | −0.890891 | − | 5.05249i | −0.0288739 | − | 0.163752i | ||||
\(953\) | −14.2545 | − | 24.6895i | −0.461747 | − | 0.799770i | 0.537301 | − | 0.843391i | \(-0.319444\pi\) |
−0.999048 | + | 0.0436207i | \(0.986111\pi\) | |||||||
\(954\) | 2.04541 | − | 11.3881i | 0.0662224 | − | 0.368703i | ||||
\(955\) | 16.1188 | − | 27.9186i | 0.521592 | − | 0.903424i | ||||
\(956\) | −15.3394 | − | 5.58308i | −0.496111 | − | 0.180570i | ||||
\(957\) | 1.46908 | − | 1.22873i | 0.0474887 | − | 0.0397192i | ||||
\(958\) | −9.73206 | − | 8.16617i | −0.314429 | − | 0.263837i | ||||
\(959\) | −10.3469 | − | 8.68210i | −0.334120 | − | 0.280360i | ||||
\(960\) | 0.433333 | + | 2.48062i | 0.0139858 | + | 0.0800617i | ||||
\(961\) | 6.21108 | + | 2.26065i | 0.200358 | + | 0.0729242i | ||||
\(962\) | 5.82011 | − | 10.0807i | 0.187648 | − | 0.325016i | ||||
\(963\) | −25.1733 | + | 20.9868i | −0.811198 | + | 0.676290i | ||||
\(964\) | −4.39783 | − | 7.61726i | −0.141645 | − | 0.245335i | ||||
\(965\) | −1.99523 | − | 11.3155i | −0.0642286 | − | 0.364258i | ||||
\(966\) | 4.77616 | − | 8.24224i | 0.153670 | − | 0.265190i | ||||
\(967\) | −15.3137 | + | 5.57373i | −0.492455 | + | 0.179239i | −0.576297 | − | 0.817240i | \(-0.695503\pi\) |
0.0838424 | + | 0.996479i | \(0.473281\pi\) | |||||||
\(968\) | −1.42208 | + | 8.06499i | −0.0457072 | + | 0.259219i | ||||
\(969\) | −46.0385 | + | 16.6738i | −1.47897 | + | 0.535639i | ||||
\(970\) | 3.58159 | − | 3.00531i | 0.114998 | − | 0.0964947i | ||||
\(971\) | 22.9057 | 0.735078 | 0.367539 | − | 0.930008i | \(-0.380200\pi\) | ||||
0.367539 | + | 0.930008i | \(0.380200\pi\) | |||||||
\(972\) | 15.5880 | + | 0.123977i | 0.499984 | + | 0.00397657i | ||||
\(973\) | −21.5709 | −0.691531 | ||||||||
\(974\) | −12.0840 | + | 10.1397i | −0.387197 | + | 0.324897i | ||||
\(975\) | −30.3713 | + | 10.9996i | −0.972659 | + | 0.352268i | ||||
\(976\) | −1.16595 | + | 6.61244i | −0.0373212 | + | 0.211659i | ||||
\(977\) | 39.3121 | − | 14.3084i | 1.25770 | − | 0.457767i | 0.374706 | − | 0.927144i | \(-0.377744\pi\) |
0.882998 | + | 0.469376i | \(0.155521\pi\) | |||||||
\(978\) | −11.4439 | + | 19.7488i | −0.365936 | + | 0.631497i | ||||
\(979\) | 2.40990 | + | 13.6672i | 0.0770208 | + | 0.436807i | ||||
\(980\) | −0.726937 | − | 1.25909i | −0.0232212 | − | 0.0402202i | ||||
\(981\) | 19.0415 | − | 15.8748i | 0.607949 | − | 0.506843i | ||||
\(982\) | −20.8615 | + | 36.1331i | −0.665717 | + | 1.15306i | ||||
\(983\) | 12.5102 | + | 4.55336i | 0.399015 | + | 0.145230i | 0.533730 | − | 0.845655i | \(-0.320790\pi\) |
−0.134715 | + | 0.990884i | \(0.543012\pi\) | |||||||
\(984\) | 2.68361 | + | 15.3624i | 0.0855504 | + | 0.489734i | ||||
\(985\) | 5.12869 | + | 4.30349i | 0.163414 | + | 0.137120i | ||||
\(986\) | 2.59216 | + | 2.17508i | 0.0825513 | + | 0.0692687i | ||||
\(987\) | −0.0310027 | + | 0.0259305i | −0.000986828 | + | 0.000825375i | ||||
\(988\) | 33.4571 | + | 12.1774i | 1.06441 | + | 0.387414i | ||||
\(989\) | 14.0619 | − | 24.3560i | 0.447144 | − | 0.774475i | ||||
\(990\) | 1.29265 | − | 7.19702i | 0.0410831 | − | 0.228736i | ||||
\(991\) | −3.54599 | − | 6.14183i | −0.112642 | − | 0.195102i | 0.804193 | − | 0.594369i | \(-0.202598\pi\) |
−0.916835 | + | 0.399267i | \(0.869265\pi\) | |||||||
\(992\) | 0.857588 | + | 4.86362i | 0.0272285 | + | 0.154420i | ||||
\(993\) | −16.6873 | − | 29.0098i | −0.529556 | − | 0.920597i | ||||
\(994\) | 7.27023 | − | 2.64615i | 0.230598 | − | 0.0839307i | ||||
\(995\) | 0.785951 | − | 4.45735i | 0.0249163 | − | 0.141307i | ||||
\(996\) | −13.7997 | − | 11.6168i | −0.437259 | − | 0.368091i | ||||
\(997\) | 45.9257 | − | 38.5362i | 1.45448 | − | 1.22045i | 0.525254 | − | 0.850945i | \(-0.323970\pi\) |
0.929227 | − | 0.369509i | \(-0.120474\pi\) | |||||||
\(998\) | −3.10111 | −0.0981639 | ||||||||
\(999\) | −4.64165 | − | 8.12890i | −0.146855 | − | 0.257187i |
(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 | 378.2.u.d.211.1 | yes | 30 | |
27.16 | even | 9 | inner | 378.2.u.d.43.1 | ✓ | 30 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
378.2.u.d.43.1 | ✓ | 30 | 27.16 | even | 9 | inner | |
378.2.u.d.211.1 | yes | 30 | 1.1 | even | 1 | trivial |